TIMEOUT

The TRS could not be proven terminating. The proof attempt took 60003 ms.

The following DP Processors were used


Problem 1 was processed with processor DependencyGraph (63ms).
 | – Problem 2 was processed with processor SubtermCriterion (1ms).
 | – Problem 3 was processed with processor SubtermCriterion (0ms).
 | – Problem 4 was processed with processor SubtermCriterion (1ms).
 | – Problem 5 was processed with processor ForwardNarrowing (4ms).
 |    | – Problem 6 was processed with processor ForwardNarrowing (1ms).
 |    |    | – Problem 7 was processed with processor ForwardNarrowing (4ms).
 |    |    |    | – Problem 8 was processed with processor ForwardNarrowing (4ms).
 |    |    |    |    | – Problem 9 was processed with processor ForwardNarrowing (4ms).
 |    |    |    |    |    | – Problem 10 was processed with processor ForwardNarrowing (2ms).
 |    |    |    |    |    |    | – Problem 11 was processed with processor ForwardNarrowing (3ms).
 |    |    |    |    |    |    |    | – Problem 12 was processed with processor ForwardNarrowing (2ms).
 |    |    |    |    |    |    |    |    | – Problem 13 was processed with processor ForwardNarrowing (4ms).
 |    |    |    |    |    |    |    |    |    | – Problem 14 was processed with processor ForwardNarrowing (6ms).
 |    |    |    |    |    |    |    |    |    |    | – Problem 15 was processed with processor ForwardNarrowing (6ms).
 |    |    |    |    |    |    |    |    |    |    |    | – Problem 16 was processed with processor ForwardNarrowing (7ms).
 |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 17 was processed with processor ForwardNarrowing (6ms).
 |    |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 18 was processed with processor ForwardNarrowing (10ms).
 |    |    |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 19 was processed with processor ForwardNarrowing (3ms).
 |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 20 was processed with processor ForwardNarrowing (4ms).
 |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 21 was processed with processor ForwardNarrowing (7ms).
 |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 22 was processed with processor ForwardNarrowing (8ms).
 |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 23 was processed with processor ForwardNarrowing (10ms).
 |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 24 was processed with processor ForwardNarrowing (6ms).
 |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 25 was processed with processor ForwardNarrowing (63ms).
 |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 26 was processed with processor ForwardNarrowing (237ms).
 |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 27 was processed with processor ForwardNarrowing (426ms).
 |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 28 remains open; application of the following processors failed [ForwardNarrowing (512ms), ForwardNarrowing (494ms), ForwardNarrowing (199ms), ForwardNarrowing (312ms), ForwardNarrowing (358ms), ForwardNarrowing (521ms), ForwardNarrowing (329ms), ForwardNarrowing (588ms), ForwardNarrowing (363ms), ForwardNarrowing (358ms), ForwardNarrowing (342ms), ForwardNarrowing (408ms), ForwardNarrowing (384ms), ForwardNarrowing (378ms), ForwardNarrowing (400ms), ForwardNarrowing (400ms), ForwardNarrowing (387ms), ForwardNarrowing (386ms), ForwardNarrowing (685ms), ForwardNarrowing (374ms), ForwardNarrowing (875ms), ForwardNarrowing (651ms), ForwardNarrowing (448ms), ForwardNarrowing (571ms), ForwardNarrowing (355ms), ForwardNarrowing (577ms), ForwardNarrowing (340ms), ForwardNarrowing (340ms), ForwardNarrowing (timeout)].

The following open problems remain:

Open Dependency Pair Problem 5

Dependency Pairs

top#(mark(X)) → top#(proper(X))top#(ok(X)) → top#(active(X))

Rewrite Rules

active(f(X, X)) → mark(f(a, b))active(b) → mark(a)
active(f(X1, X2)) → f(active(X1), X2)f(mark(X1), X2) → mark(f(X1, X2))
proper(f(X1, X2)) → f(proper(X1), proper(X2))proper(a) → ok(a)
proper(b) → ok(b)f(ok(X1), ok(X2)) → ok(f(X1, X2))
top(mark(X)) → top(proper(X))top(ok(X)) → top(active(X))

Original Signature

Termination of terms over the following signature is verified: f, b, a, active, ok, mark, proper, top

Problem 1: DependencyGraph

Dependency Pair Problem

Dependency Pairs

active#(f(X1, X2)) → f#(active(X1), X2)top#(mark(X)) → top#(proper(X))
proper#(f(X1, X2)) → proper#(X2)top#(ok(X)) → top#(active(X))
proper#(f(X1, X2)) → proper#(X1)active#(f(X, X)) → f#(a, b)
f#(ok(X1), ok(X2)) → f#(X1, X2)active#(f(X1, X2)) → active#(X1)
proper#(f(X1, X2)) → f#(proper(X1), proper(X2))f#(mark(X1), X2) → f#(X1, X2)
top#(mark(X)) → proper#(X)top#(ok(X)) → active#(X)

Rewrite Rules

active(f(X, X)) → mark(f(a, b))active(b) → mark(a)
active(f(X1, X2)) → f(active(X1), X2)f(mark(X1), X2) → mark(f(X1, X2))
proper(f(X1, X2)) → f(proper(X1), proper(X2))proper(a) → ok(a)
proper(b) → ok(b)f(ok(X1), ok(X2)) → ok(f(X1, X2))
top(mark(X)) → top(proper(X))top(ok(X)) → top(active(X))

Original Signature

Termination of terms over the following signature is verified: f, b, a, active, mark, ok, proper, top

Strategy

The following SCCs where found

proper#(f(X1, X2)) → proper#(X2)proper#(f(X1, X2)) → proper#(X1)
active#(f(X1, X2)) → active#(X1)
f#(ok(X1), ok(X2)) → f#(X1, X2)f#(mark(X1), X2) → f#(X1, X2)
top#(mark(X)) → top#(proper(X))top#(ok(X)) → top#(active(X))

Problem 2: SubtermCriterion

Dependency Pair Problem

Dependency Pairs

proper#(f(X1, X2)) → proper#(X2)proper#(f(X1, X2)) → proper#(X1)

Rewrite Rules

active(f(X, X)) → mark(f(a, b))active(b) → mark(a)
active(f(X1, X2)) → f(active(X1), X2)f(mark(X1), X2) → mark(f(X1, X2))
proper(f(X1, X2)) → f(proper(X1), proper(X2))proper(a) → ok(a)
proper(b) → ok(b)f(ok(X1), ok(X2)) → ok(f(X1, X2))
top(mark(X)) → top(proper(X))top(ok(X)) → top(active(X))

Original Signature

Termination of terms over the following signature is verified: f, b, a, active, mark, ok, proper, top

Strategy

Projection

The following projection was used:

Thus, the following dependency pairs are removed:

proper#(f(X1, X2)) → proper#(X2)proper#(f(X1, X2)) → proper#(X1)

Problem 3: SubtermCriterion

Dependency Pair Problem

Dependency Pairs

active#(f(X1, X2)) → active#(X1)

Rewrite Rules

active(f(X, X)) → mark(f(a, b))active(b) → mark(a)
active(f(X1, X2)) → f(active(X1), X2)f(mark(X1), X2) → mark(f(X1, X2))
proper(f(X1, X2)) → f(proper(X1), proper(X2))proper(a) → ok(a)
proper(b) → ok(b)f(ok(X1), ok(X2)) → ok(f(X1, X2))
top(mark(X)) → top(proper(X))top(ok(X)) → top(active(X))

Original Signature

Termination of terms over the following signature is verified: f, b, a, active, mark, ok, proper, top

Strategy

Projection

The following projection was used:

Thus, the following dependency pairs are removed:

active#(f(X1, X2)) → active#(X1)

Problem 4: SubtermCriterion

Dependency Pair Problem

Dependency Pairs

f#(ok(X1), ok(X2)) → f#(X1, X2)f#(mark(X1), X2) → f#(X1, X2)

Rewrite Rules

active(f(X, X)) → mark(f(a, b))active(b) → mark(a)
active(f(X1, X2)) → f(active(X1), X2)f(mark(X1), X2) → mark(f(X1, X2))
proper(f(X1, X2)) → f(proper(X1), proper(X2))proper(a) → ok(a)
proper(b) → ok(b)f(ok(X1), ok(X2)) → ok(f(X1, X2))
top(mark(X)) → top(proper(X))top(ok(X)) → top(active(X))

Original Signature

Termination of terms over the following signature is verified: f, b, a, active, mark, ok, proper, top

Strategy

Projection

The following projection was used:

Thus, the following dependency pairs are removed:

f#(ok(X1), ok(X2)) → f#(X1, X2)f#(mark(X1), X2) → f#(X1, X2)

Problem 5: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

top#(mark(X)) → top#(proper(X))top#(ok(X)) → top#(active(X))

Rewrite Rules

active(f(X, X)) → mark(f(a, b))active(b) → mark(a)
active(f(X1, X2)) → f(active(X1), X2)f(mark(X1), X2) → mark(f(X1, X2))
proper(f(X1, X2)) → f(proper(X1), proper(X2))proper(a) → ok(a)
proper(b) → ok(b)f(ok(X1), ok(X2)) → ok(f(X1, X2))
top(mark(X)) → top(proper(X))top(ok(X)) → top(active(X))

Original Signature

Termination of terms over the following signature is verified: f, b, a, active, mark, ok, proper, top

Strategy

The right-hand side of the rule top#(mark(X)) → top#(proper(X)) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
top#(ok(b)) 
top#(ok(a)) 
top#(f(proper(_x21), proper(_x22))) 
Thus, the rule top#(mark(X)) → top#(proper(X)) is replaced by the following rules:
top#(mark(f(_x21, _x22))) → top#(f(proper(_x21), proper(_x22)))top#(mark(a)) → top#(ok(a))
top#(mark(b)) → top#(ok(b))

Problem 6: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

top#(ok(X)) → top#(active(X))top#(mark(f(_x21, _x22))) → top#(f(proper(_x21), proper(_x22)))
top#(mark(a)) → top#(ok(a))top#(mark(b)) → top#(ok(b))

Rewrite Rules

active(f(X, X)) → mark(f(a, b))active(b) → mark(a)
active(f(X1, X2)) → f(active(X1), X2)f(mark(X1), X2) → mark(f(X1, X2))
proper(f(X1, X2)) → f(proper(X1), proper(X2))proper(a) → ok(a)
proper(b) → ok(b)f(ok(X1), ok(X2)) → ok(f(X1, X2))
top(mark(X)) → top(proper(X))top(ok(X)) → top(active(X))

Original Signature

Termination of terms over the following signature is verified: f, b, a, active, ok, mark, proper, top

Strategy

The right-hand side of the rule top#(ok(X)) → top#(active(X)) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
top#(mark(f(a, b))) 
top#(f(active(_x21), _x22)) 
top#(mark(a)) 
Thus, the rule top#(ok(X)) → top#(active(X)) is replaced by the following rules:
top#(ok(f(_x21, _x21))) → top#(mark(f(a, b)))top#(ok(b)) → top#(mark(a))
top#(ok(f(_x21, _x22))) → top#(f(active(_x21), _x22))

Problem 7: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

top#(ok(f(_x21, _x21))) → top#(mark(f(a, b)))top#(mark(f(_x21, _x22))) → top#(f(proper(_x21), proper(_x22)))
top#(mark(a)) → top#(ok(a))top#(ok(b)) → top#(mark(a))
top#(mark(b)) → top#(ok(b))top#(ok(f(_x21, _x22))) → top#(f(active(_x21), _x22))

Rewrite Rules

active(f(X, X)) → mark(f(a, b))active(b) → mark(a)
active(f(X1, X2)) → f(active(X1), X2)f(mark(X1), X2) → mark(f(X1, X2))
proper(f(X1, X2)) → f(proper(X1), proper(X2))proper(a) → ok(a)
proper(b) → ok(b)f(ok(X1), ok(X2)) → ok(f(X1, X2))
top(mark(X)) → top(proper(X))top(ok(X)) → top(active(X))

Original Signature

Termination of terms over the following signature is verified: f, b, a, active, mark, ok, proper, top

Strategy

The right-hand side of the rule top#(mark(f(_x21, _x22))) → top#(f(proper(_x21), proper(_x22))) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
top#(f(f(proper(_x41), proper(_x42)), proper(_x22))) 
top#(f(ok(a), proper(_x22))) 
top#(f(proper(_x21), f(proper(_x51), proper(_x52)))) 
top#(f(proper(_x21), ok(a))) 
top#(f(proper(_x21), ok(b))) 
top#(f(ok(b), proper(_x22))) 
Thus, the rule top#(mark(f(_x21, _x22))) → top#(f(proper(_x21), proper(_x22))) is replaced by the following rules:
top#(mark(f(b, _x22))) → top#(f(ok(b), proper(_x22)))top#(mark(f(a, _x22))) → top#(f(ok(a), proper(_x22)))
top#(mark(f(_x21, a))) → top#(f(proper(_x21), ok(a)))top#(mark(f(f(_x41, _x42), _x22))) → top#(f(f(proper(_x41), proper(_x42)), proper(_x22)))
top#(mark(f(_x21, b))) → top#(f(proper(_x21), ok(b)))top#(mark(f(_x21, f(_x51, _x52)))) → top#(f(proper(_x21), f(proper(_x51), proper(_x52))))

Problem 8: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

top#(mark(f(b, _x22))) → top#(f(ok(b), proper(_x22)))top#(ok(f(_x21, _x21))) → top#(mark(f(a, b)))
top#(mark(f(a, _x22))) → top#(f(ok(a), proper(_x22)))top#(mark(f(_x21, a))) → top#(f(proper(_x21), ok(a)))
top#(ok(b)) → top#(mark(a))top#(mark(a)) → top#(ok(a))
top#(mark(b)) → top#(ok(b))top#(mark(f(f(_x41, _x42), _x22))) → top#(f(f(proper(_x41), proper(_x42)), proper(_x22)))
top#(ok(f(_x21, _x22))) → top#(f(active(_x21), _x22))top#(mark(f(_x21, b))) → top#(f(proper(_x21), ok(b)))
top#(mark(f(_x21, f(_x51, _x52)))) → top#(f(proper(_x21), f(proper(_x51), proper(_x52))))

Rewrite Rules

active(f(X, X)) → mark(f(a, b))active(b) → mark(a)
active(f(X1, X2)) → f(active(X1), X2)f(mark(X1), X2) → mark(f(X1, X2))
proper(f(X1, X2)) → f(proper(X1), proper(X2))proper(a) → ok(a)
proper(b) → ok(b)f(ok(X1), ok(X2)) → ok(f(X1, X2))
top(mark(X)) → top(proper(X))top(ok(X)) → top(active(X))

Original Signature

Termination of terms over the following signature is verified: f, b, a, active, ok, mark, proper, top

Strategy

The right-hand side of the rule top#(mark(f(b, _x22))) → top#(f(ok(b), proper(_x22))) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
top#(f(ok(b), f(proper(_x51), proper(_x52)))) 
top#(f(ok(b), ok(b))) 
top#(f(ok(b), ok(a))) 
Thus, the rule top#(mark(f(b, _x22))) → top#(f(ok(b), proper(_x22))) is replaced by the following rules:
top#(mark(f(b, b))) → top#(f(ok(b), ok(b)))top#(mark(f(b, f(_x51, _x52)))) → top#(f(ok(b), f(proper(_x51), proper(_x52))))
top#(mark(f(b, a))) → top#(f(ok(b), ok(a)))

Problem 9: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

top#(mark(f(b, b))) → top#(f(ok(b), ok(b)))top#(mark(f(_x21, a))) → top#(f(proper(_x21), ok(a)))
top#(mark(a)) → top#(ok(a))top#(mark(f(_x21, b))) → top#(f(proper(_x21), ok(b)))
top#(ok(f(_x21, _x21))) → top#(mark(f(a, b)))top#(mark(f(a, _x22))) → top#(f(ok(a), proper(_x22)))
top#(mark(f(b, f(_x51, _x52)))) → top#(f(ok(b), f(proper(_x51), proper(_x52))))top#(ok(b)) → top#(mark(a))
top#(mark(f(f(_x41, _x42), _x22))) → top#(f(f(proper(_x41), proper(_x42)), proper(_x22)))top#(mark(b)) → top#(ok(b))
top#(ok(f(_x21, _x22))) → top#(f(active(_x21), _x22))top#(mark(f(b, a))) → top#(f(ok(b), ok(a)))
top#(mark(f(_x21, f(_x51, _x52)))) → top#(f(proper(_x21), f(proper(_x51), proper(_x52))))

Rewrite Rules

active(f(X, X)) → mark(f(a, b))active(b) → mark(a)
active(f(X1, X2)) → f(active(X1), X2)f(mark(X1), X2) → mark(f(X1, X2))
proper(f(X1, X2)) → f(proper(X1), proper(X2))proper(a) → ok(a)
proper(b) → ok(b)f(ok(X1), ok(X2)) → ok(f(X1, X2))
top(mark(X)) → top(proper(X))top(ok(X)) → top(active(X))

Original Signature

Termination of terms over the following signature is verified: f, b, a, active, mark, ok, proper, top

Strategy

The right-hand side of the rule top#(mark(f(b, b))) → top#(f(ok(b), ok(b))) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
top#(ok(f(b, b))) 
Thus, the rule top#(mark(f(b, b))) → top#(f(ok(b), ok(b))) is replaced by the following rules:
top#(mark(f(b, b))) → top#(ok(f(b, b)))

Problem 10: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

top#(mark(f(_x21, a))) → top#(f(proper(_x21), ok(a)))top#(mark(a)) → top#(ok(a))
top#(mark(f(b, b))) → top#(ok(f(b, b)))top#(mark(f(_x21, b))) → top#(f(proper(_x21), ok(b)))
top#(ok(f(_x21, _x21))) → top#(mark(f(a, b)))top#(mark(f(a, _x22))) → top#(f(ok(a), proper(_x22)))
top#(mark(f(b, f(_x51, _x52)))) → top#(f(ok(b), f(proper(_x51), proper(_x52))))top#(ok(b)) → top#(mark(a))
top#(mark(f(f(_x41, _x42), _x22))) → top#(f(f(proper(_x41), proper(_x42)), proper(_x22)))top#(mark(b)) → top#(ok(b))
top#(ok(f(_x21, _x22))) → top#(f(active(_x21), _x22))top#(mark(f(b, a))) → top#(f(ok(b), ok(a)))
top#(mark(f(_x21, f(_x51, _x52)))) → top#(f(proper(_x21), f(proper(_x51), proper(_x52))))

Rewrite Rules

active(f(X, X)) → mark(f(a, b))active(b) → mark(a)
active(f(X1, X2)) → f(active(X1), X2)f(mark(X1), X2) → mark(f(X1, X2))
proper(f(X1, X2)) → f(proper(X1), proper(X2))proper(a) → ok(a)
proper(b) → ok(b)f(ok(X1), ok(X2)) → ok(f(X1, X2))
top(mark(X)) → top(proper(X))top(ok(X)) → top(active(X))

Original Signature

Termination of terms over the following signature is verified: f, b, a, active, ok, mark, proper, top

Strategy

The right-hand side of the rule top#(mark(f(_x21, a))) → top#(f(proper(_x21), ok(a))) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
top#(f(f(proper(_x41), proper(_x42)), ok(a))) 
top#(f(ok(b), ok(a))) 
top#(f(ok(a), ok(a))) 
Thus, the rule top#(mark(f(_x21, a))) → top#(f(proper(_x21), ok(a))) is replaced by the following rules:
top#(mark(f(a, a))) → top#(f(ok(a), ok(a)))top#(mark(f(b, a))) → top#(f(ok(b), ok(a)))
top#(mark(f(f(_x41, _x42), a))) → top#(f(f(proper(_x41), proper(_x42)), ok(a)))

Problem 11: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

top#(mark(a)) → top#(ok(a))top#(mark(f(b, b))) → top#(ok(f(b, b)))
top#(mark(f(_x21, b))) → top#(f(proper(_x21), ok(b)))top#(mark(f(f(_x41, _x42), a))) → top#(f(f(proper(_x41), proper(_x42)), ok(a)))
top#(ok(f(_x21, _x21))) → top#(mark(f(a, b)))top#(mark(f(a, _x22))) → top#(f(ok(a), proper(_x22)))
top#(mark(f(b, f(_x51, _x52)))) → top#(f(ok(b), f(proper(_x51), proper(_x52))))top#(mark(f(a, a))) → top#(f(ok(a), ok(a)))
top#(ok(b)) → top#(mark(a))top#(mark(f(f(_x41, _x42), _x22))) → top#(f(f(proper(_x41), proper(_x42)), proper(_x22)))
top#(mark(b)) → top#(ok(b))top#(ok(f(_x21, _x22))) → top#(f(active(_x21), _x22))
top#(mark(f(b, a))) → top#(f(ok(b), ok(a)))top#(mark(f(_x21, f(_x51, _x52)))) → top#(f(proper(_x21), f(proper(_x51), proper(_x52))))

Rewrite Rules

active(f(X, X)) → mark(f(a, b))active(b) → mark(a)
active(f(X1, X2)) → f(active(X1), X2)f(mark(X1), X2) → mark(f(X1, X2))
proper(f(X1, X2)) → f(proper(X1), proper(X2))proper(a) → ok(a)
proper(b) → ok(b)f(ok(X1), ok(X2)) → ok(f(X1, X2))
top(mark(X)) → top(proper(X))top(ok(X)) → top(active(X))

Original Signature

Termination of terms over the following signature is verified: f, b, a, active, mark, ok, proper, top

Strategy

The right-hand side of the rule top#(mark(a)) → top#(ok(a)) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
Thus, the rule top#(mark(a)) → top#(ok(a)) is deleted.

Problem 12: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

top#(mark(f(b, b))) → top#(ok(f(b, b)))top#(mark(f(_x21, b))) → top#(f(proper(_x21), ok(b)))
top#(mark(f(f(_x41, _x42), a))) → top#(f(f(proper(_x41), proper(_x42)), ok(a)))top#(ok(f(_x21, _x21))) → top#(mark(f(a, b)))
top#(mark(f(a, _x22))) → top#(f(ok(a), proper(_x22)))top#(mark(f(b, f(_x51, _x52)))) → top#(f(ok(b), f(proper(_x51), proper(_x52))))
top#(mark(f(a, a))) → top#(f(ok(a), ok(a)))top#(ok(b)) → top#(mark(a))
top#(mark(f(f(_x41, _x42), _x22))) → top#(f(f(proper(_x41), proper(_x42)), proper(_x22)))top#(mark(b)) → top#(ok(b))
top#(ok(f(_x21, _x22))) → top#(f(active(_x21), _x22))top#(mark(f(b, a))) → top#(f(ok(b), ok(a)))
top#(mark(f(_x21, f(_x51, _x52)))) → top#(f(proper(_x21), f(proper(_x51), proper(_x52))))

Rewrite Rules

active(f(X, X)) → mark(f(a, b))active(b) → mark(a)
active(f(X1, X2)) → f(active(X1), X2)f(mark(X1), X2) → mark(f(X1, X2))
proper(f(X1, X2)) → f(proper(X1), proper(X2))proper(a) → ok(a)
proper(b) → ok(b)f(ok(X1), ok(X2)) → ok(f(X1, X2))
top(mark(X)) → top(proper(X))top(ok(X)) → top(active(X))

Original Signature

Termination of terms over the following signature is verified: f, b, a, active, ok, mark, proper, top

Strategy

The right-hand side of the rule top#(mark(f(_x21, b))) → top#(f(proper(_x21), ok(b))) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
top#(f(ok(a), ok(b))) 
top#(f(f(proper(_x41), proper(_x42)), ok(b))) 
top#(f(ok(b), ok(b))) 
Thus, the rule top#(mark(f(_x21, b))) → top#(f(proper(_x21), ok(b))) is replaced by the following rules:
top#(mark(f(f(_x41, _x42), b))) → top#(f(f(proper(_x41), proper(_x42)), ok(b)))top#(mark(f(b, b))) → top#(f(ok(b), ok(b)))
top#(mark(f(a, b))) → top#(f(ok(a), ok(b)))

Problem 13: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

top#(mark(f(f(_x41, _x42), b))) → top#(f(f(proper(_x41), proper(_x42)), ok(b)))top#(mark(f(b, b))) → top#(f(ok(b), ok(b)))
top#(mark(f(b, b))) → top#(ok(f(b, b)))top#(mark(f(f(_x41, _x42), a))) → top#(f(f(proper(_x41), proper(_x42)), ok(a)))
top#(ok(f(_x21, _x21))) → top#(mark(f(a, b)))top#(mark(f(a, _x22))) → top#(f(ok(a), proper(_x22)))
top#(mark(f(b, f(_x51, _x52)))) → top#(f(ok(b), f(proper(_x51), proper(_x52))))top#(mark(f(a, a))) → top#(f(ok(a), ok(a)))
top#(mark(f(a, b))) → top#(f(ok(a), ok(b)))top#(ok(b)) → top#(mark(a))
top#(mark(f(f(_x41, _x42), _x22))) → top#(f(f(proper(_x41), proper(_x42)), proper(_x22)))top#(mark(b)) → top#(ok(b))
top#(mark(f(b, a))) → top#(f(ok(b), ok(a)))top#(ok(f(_x21, _x22))) → top#(f(active(_x21), _x22))
top#(mark(f(_x21, f(_x51, _x52)))) → top#(f(proper(_x21), f(proper(_x51), proper(_x52))))

Rewrite Rules

active(f(X, X)) → mark(f(a, b))active(b) → mark(a)
active(f(X1, X2)) → f(active(X1), X2)f(mark(X1), X2) → mark(f(X1, X2))
proper(f(X1, X2)) → f(proper(X1), proper(X2))proper(a) → ok(a)
proper(b) → ok(b)f(ok(X1), ok(X2)) → ok(f(X1, X2))
top(mark(X)) → top(proper(X))top(ok(X)) → top(active(X))

Original Signature

Termination of terms over the following signature is verified: f, b, a, active, mark, ok, proper, top

Strategy

The right-hand side of the rule top#(mark(f(f(_x41, _x42), b))) → top#(f(f(proper(_x41), proper(_x42)), ok(b))) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
top#(f(f(proper(_x41), f(proper(_x51), proper(_x52))), ok(b))) 
top#(f(f(proper(_x41), ok(a)), ok(b))) 
top#(f(f(f(proper(_x51), proper(_x52)), proper(_x42)), ok(b))) 
top#(f(f(ok(a), proper(_x42)), ok(b))) 
top#(f(f(proper(_x41), ok(b)), ok(b))) 
top#(f(f(ok(b), proper(_x42)), ok(b))) 
Thus, the rule top#(mark(f(f(_x41, _x42), b))) → top#(f(f(proper(_x41), proper(_x42)), ok(b))) is replaced by the following rules:
top#(mark(f(f(_x41, b), b))) → top#(f(f(proper(_x41), ok(b)), ok(b)))top#(mark(f(f(f(_x51, _x52), _x42), b))) → top#(f(f(f(proper(_x51), proper(_x52)), proper(_x42)), ok(b)))
top#(mark(f(f(a, _x42), b))) → top#(f(f(ok(a), proper(_x42)), ok(b)))top#(mark(f(f(b, _x42), b))) → top#(f(f(ok(b), proper(_x42)), ok(b)))
top#(mark(f(f(_x41, f(_x51, _x52)), b))) → top#(f(f(proper(_x41), f(proper(_x51), proper(_x52))), ok(b)))top#(mark(f(f(_x41, a), b))) → top#(f(f(proper(_x41), ok(a)), ok(b)))

Problem 14: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

top#(mark(f(f(a, _x42), b))) → top#(f(f(ok(a), proper(_x42)), ok(b)))top#(mark(f(b, b))) → top#(f(ok(b), ok(b)))
top#(mark(f(f(b, _x42), b))) → top#(f(f(ok(b), proper(_x42)), ok(b)))top#(mark(f(b, b))) → top#(ok(f(b, b)))
top#(mark(f(f(_x41, _x42), a))) → top#(f(f(proper(_x41), proper(_x42)), ok(a)))top#(mark(f(f(_x41, b), b))) → top#(f(f(proper(_x41), ok(b)), ok(b)))
top#(mark(f(f(f(_x51, _x52), _x42), b))) → top#(f(f(f(proper(_x51), proper(_x52)), proper(_x42)), ok(b)))top#(ok(f(_x21, _x21))) → top#(mark(f(a, b)))
top#(mark(f(a, _x22))) → top#(f(ok(a), proper(_x22)))top#(mark(f(b, f(_x51, _x52)))) → top#(f(ok(b), f(proper(_x51), proper(_x52))))
top#(mark(f(f(_x41, f(_x51, _x52)), b))) → top#(f(f(proper(_x41), f(proper(_x51), proper(_x52))), ok(b)))top#(mark(f(a, a))) → top#(f(ok(a), ok(a)))
top#(ok(b)) → top#(mark(a))top#(mark(f(a, b))) → top#(f(ok(a), ok(b)))
top#(mark(b)) → top#(ok(b))top#(mark(f(f(_x41, _x42), _x22))) → top#(f(f(proper(_x41), proper(_x42)), proper(_x22)))
top#(ok(f(_x21, _x22))) → top#(f(active(_x21), _x22))top#(mark(f(b, a))) → top#(f(ok(b), ok(a)))
top#(mark(f(f(_x41, a), b))) → top#(f(f(proper(_x41), ok(a)), ok(b)))top#(mark(f(_x21, f(_x51, _x52)))) → top#(f(proper(_x21), f(proper(_x51), proper(_x52))))

Rewrite Rules

active(f(X, X)) → mark(f(a, b))active(b) → mark(a)
active(f(X1, X2)) → f(active(X1), X2)f(mark(X1), X2) → mark(f(X1, X2))
proper(f(X1, X2)) → f(proper(X1), proper(X2))proper(a) → ok(a)
proper(b) → ok(b)f(ok(X1), ok(X2)) → ok(f(X1, X2))
top(mark(X)) → top(proper(X))top(ok(X)) → top(active(X))

Original Signature

Termination of terms over the following signature is verified: f, b, a, active, ok, mark, proper, top

Strategy

The right-hand side of the rule top#(mark(f(f(a, _x42), b))) → top#(f(f(ok(a), proper(_x42)), ok(b))) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
top#(f(f(ok(a), ok(a)), ok(b))) 
top#(f(f(ok(a), f(proper(_x51), proper(_x52))), ok(b))) 
top#(f(f(ok(a), ok(b)), ok(b))) 
Thus, the rule top#(mark(f(f(a, _x42), b))) → top#(f(f(ok(a), proper(_x42)), ok(b))) is replaced by the following rules:
top#(mark(f(f(a, f(_x51, _x52)), b))) → top#(f(f(ok(a), f(proper(_x51), proper(_x52))), ok(b)))top#(mark(f(f(a, a), b))) → top#(f(f(ok(a), ok(a)), ok(b)))
top#(mark(f(f(a, b), b))) → top#(f(f(ok(a), ok(b)), ok(b)))

Problem 15: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

top#(mark(f(f(a, f(_x51, _x52)), b))) → top#(f(f(ok(a), f(proper(_x51), proper(_x52))), ok(b)))top#(mark(f(b, b))) → top#(f(ok(b), ok(b)))
top#(mark(f(f(b, _x42), b))) → top#(f(f(ok(b), proper(_x42)), ok(b)))top#(mark(f(b, b))) → top#(ok(f(b, b)))
top#(mark(f(f(a, b), b))) → top#(f(f(ok(a), ok(b)), ok(b)))top#(mark(f(f(_x41, _x42), a))) → top#(f(f(proper(_x41), proper(_x42)), ok(a)))
top#(mark(f(f(_x41, b), b))) → top#(f(f(proper(_x41), ok(b)), ok(b)))top#(mark(f(f(f(_x51, _x52), _x42), b))) → top#(f(f(f(proper(_x51), proper(_x52)), proper(_x42)), ok(b)))
top#(ok(f(_x21, _x21))) → top#(mark(f(a, b)))top#(mark(f(a, _x22))) → top#(f(ok(a), proper(_x22)))
top#(mark(f(b, f(_x51, _x52)))) → top#(f(ok(b), f(proper(_x51), proper(_x52))))top#(mark(f(f(_x41, f(_x51, _x52)), b))) → top#(f(f(proper(_x41), f(proper(_x51), proper(_x52))), ok(b)))
top#(mark(f(a, a))) → top#(f(ok(a), ok(a)))top#(mark(f(a, b))) → top#(f(ok(a), ok(b)))
top#(ok(b)) → top#(mark(a))top#(mark(f(f(a, a), b))) → top#(f(f(ok(a), ok(a)), ok(b)))
top#(mark(f(f(_x41, _x42), _x22))) → top#(f(f(proper(_x41), proper(_x42)), proper(_x22)))top#(mark(b)) → top#(ok(b))
top#(mark(f(b, a))) → top#(f(ok(b), ok(a)))top#(ok(f(_x21, _x22))) → top#(f(active(_x21), _x22))
top#(mark(f(f(_x41, a), b))) → top#(f(f(proper(_x41), ok(a)), ok(b)))top#(mark(f(_x21, f(_x51, _x52)))) → top#(f(proper(_x21), f(proper(_x51), proper(_x52))))

Rewrite Rules

active(f(X, X)) → mark(f(a, b))active(b) → mark(a)
active(f(X1, X2)) → f(active(X1), X2)f(mark(X1), X2) → mark(f(X1, X2))
proper(f(X1, X2)) → f(proper(X1), proper(X2))proper(a) → ok(a)
proper(b) → ok(b)f(ok(X1), ok(X2)) → ok(f(X1, X2))
top(mark(X)) → top(proper(X))top(ok(X)) → top(active(X))

Original Signature

Termination of terms over the following signature is verified: f, b, a, active, mark, ok, proper, top

Strategy

The right-hand side of the rule top#(mark(f(f(a, f(_x51, _x52)), b))) → top#(f(f(ok(a), f(proper(_x51), proper(_x52))), ok(b))) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
top#(f(f(ok(a), f(ok(a), proper(_x52))), ok(b))) 
top#(f(f(ok(a), f(proper(_x51), ok(a))), ok(b))) 
top#(f(f(ok(a), f(proper(_x51), f(proper(_x81), proper(_x82)))), ok(b))) 
top#(f(f(ok(a), f(f(proper(_x71), proper(_x72)), proper(_x52))), ok(b))) 
top#(f(f(ok(a), f(proper(_x51), ok(b))), ok(b))) 
top#(f(f(ok(a), f(ok(b), proper(_x52))), ok(b))) 
Thus, the rule top#(mark(f(f(a, f(_x51, _x52)), b))) → top#(f(f(ok(a), f(proper(_x51), proper(_x52))), ok(b))) is replaced by the following rules:
top#(mark(f(f(a, f(b, _x52)), b))) → top#(f(f(ok(a), f(ok(b), proper(_x52))), ok(b)))top#(mark(f(f(a, f(_x51, a)), b))) → top#(f(f(ok(a), f(proper(_x51), ok(a))), ok(b)))
top#(mark(f(f(a, f(f(_x71, _x72), _x52)), b))) → top#(f(f(ok(a), f(f(proper(_x71), proper(_x72)), proper(_x52))), ok(b)))top#(mark(f(f(a, f(a, _x52)), b))) → top#(f(f(ok(a), f(ok(a), proper(_x52))), ok(b)))
top#(mark(f(f(a, f(_x51, b)), b))) → top#(f(f(ok(a), f(proper(_x51), ok(b))), ok(b)))top#(mark(f(f(a, f(_x51, f(_x81, _x82))), b))) → top#(f(f(ok(a), f(proper(_x51), f(proper(_x81), proper(_x82)))), ok(b)))

Problem 16: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

top#(mark(f(f(a, f(b, _x52)), b))) → top#(f(f(ok(a), f(ok(b), proper(_x52))), ok(b)))top#(mark(f(f(a, f(_x51, a)), b))) → top#(f(f(ok(a), f(proper(_x51), ok(a))), ok(b)))
top#(mark(f(b, b))) → top#(ok(f(b, b)))top#(mark(f(f(f(_x51, _x52), _x42), b))) → top#(f(f(f(proper(_x51), proper(_x52)), proper(_x42)), ok(b)))
top#(ok(f(_x21, _x21))) → top#(mark(f(a, b)))top#(mark(f(a, _x22))) → top#(f(ok(a), proper(_x22)))
top#(mark(f(b, f(_x51, _x52)))) → top#(f(ok(b), f(proper(_x51), proper(_x52))))top#(mark(f(a, a))) → top#(f(ok(a), ok(a)))
top#(mark(f(f(_x41, _x42), _x22))) → top#(f(f(proper(_x41), proper(_x42)), proper(_x22)))top#(mark(f(b, a))) → top#(f(ok(b), ok(a)))
top#(ok(f(_x21, _x22))) → top#(f(active(_x21), _x22))top#(mark(f(f(a, f(_x51, f(_x81, _x82))), b))) → top#(f(f(ok(a), f(proper(_x51), f(proper(_x81), proper(_x82)))), ok(b)))
top#(mark(f(b, b))) → top#(f(ok(b), ok(b)))top#(mark(f(f(b, _x42), b))) → top#(f(f(ok(b), proper(_x42)), ok(b)))
top#(mark(f(f(a, f(a, _x52)), b))) → top#(f(f(ok(a), f(ok(a), proper(_x52))), ok(b)))top#(mark(f(f(a, b), b))) → top#(f(f(ok(a), ok(b)), ok(b)))
top#(mark(f(f(_x41, _x42), a))) → top#(f(f(proper(_x41), proper(_x42)), ok(a)))top#(mark(f(f(_x41, b), b))) → top#(f(f(proper(_x41), ok(b)), ok(b)))
top#(mark(f(f(_x41, f(_x51, _x52)), b))) → top#(f(f(proper(_x41), f(proper(_x51), proper(_x52))), ok(b)))top#(ok(b)) → top#(mark(a))
top#(mark(f(a, b))) → top#(f(ok(a), ok(b)))top#(mark(f(f(a, a), b))) → top#(f(f(ok(a), ok(a)), ok(b)))
top#(mark(b)) → top#(ok(b))top#(mark(f(f(a, f(f(_x71, _x72), _x52)), b))) → top#(f(f(ok(a), f(f(proper(_x71), proper(_x72)), proper(_x52))), ok(b)))
top#(mark(f(f(_x41, a), b))) → top#(f(f(proper(_x41), ok(a)), ok(b)))top#(mark(f(_x21, f(_x51, _x52)))) → top#(f(proper(_x21), f(proper(_x51), proper(_x52))))
top#(mark(f(f(a, f(_x51, b)), b))) → top#(f(f(ok(a), f(proper(_x51), ok(b))), ok(b)))

Rewrite Rules

active(f(X, X)) → mark(f(a, b))active(b) → mark(a)
active(f(X1, X2)) → f(active(X1), X2)f(mark(X1), X2) → mark(f(X1, X2))
proper(f(X1, X2)) → f(proper(X1), proper(X2))proper(a) → ok(a)
proper(b) → ok(b)f(ok(X1), ok(X2)) → ok(f(X1, X2))
top(mark(X)) → top(proper(X))top(ok(X)) → top(active(X))

Original Signature

Termination of terms over the following signature is verified: f, b, a, active, ok, mark, proper, top

Strategy

The right-hand side of the rule top#(mark(f(f(a, f(b, _x52)), b))) → top#(f(f(ok(a), f(ok(b), proper(_x52))), ok(b))) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
top#(f(f(ok(a), f(ok(b), f(proper(_x81), proper(_x82)))), ok(b))) 
top#(f(f(ok(a), f(ok(b), ok(a))), ok(b))) 
top#(f(f(ok(a), f(ok(b), ok(b))), ok(b))) 
Thus, the rule top#(mark(f(f(a, f(b, _x52)), b))) → top#(f(f(ok(a), f(ok(b), proper(_x52))), ok(b))) is replaced by the following rules:
top#(mark(f(f(a, f(b, f(_x81, _x82))), b))) → top#(f(f(ok(a), f(ok(b), f(proper(_x81), proper(_x82)))), ok(b)))top#(mark(f(f(a, f(b, b)), b))) → top#(f(f(ok(a), f(ok(b), ok(b))), ok(b)))
top#(mark(f(f(a, f(b, a)), b))) → top#(f(f(ok(a), f(ok(b), ok(a))), ok(b)))

Problem 17: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

top#(mark(f(f(a, f(_x51, a)), b))) → top#(f(f(ok(a), f(proper(_x51), ok(a))), ok(b)))top#(mark(f(b, b))) → top#(ok(f(b, b)))
top#(ok(f(_x21, _x21))) → top#(mark(f(a, b)))top#(mark(f(f(f(_x51, _x52), _x42), b))) → top#(f(f(f(proper(_x51), proper(_x52)), proper(_x42)), ok(b)))
top#(mark(f(a, _x22))) → top#(f(ok(a), proper(_x22)))top#(mark(f(b, f(_x51, _x52)))) → top#(f(ok(b), f(proper(_x51), proper(_x52))))
top#(mark(f(a, a))) → top#(f(ok(a), ok(a)))top#(mark(f(f(_x41, _x42), _x22))) → top#(f(f(proper(_x41), proper(_x42)), proper(_x22)))
top#(ok(f(_x21, _x22))) → top#(f(active(_x21), _x22))top#(mark(f(b, a))) → top#(f(ok(b), ok(a)))
top#(mark(f(f(a, f(_x51, f(_x81, _x82))), b))) → top#(f(f(ok(a), f(proper(_x51), f(proper(_x81), proper(_x82)))), ok(b)))top#(mark(f(b, b))) → top#(f(ok(b), ok(b)))
top#(mark(f(f(b, _x42), b))) → top#(f(f(ok(b), proper(_x42)), ok(b)))top#(mark(f(f(a, f(a, _x52)), b))) → top#(f(f(ok(a), f(ok(a), proper(_x52))), ok(b)))
top#(mark(f(f(a, b), b))) → top#(f(f(ok(a), ok(b)), ok(b)))top#(mark(f(f(_x41, _x42), a))) → top#(f(f(proper(_x41), proper(_x42)), ok(a)))
top#(mark(f(f(a, f(b, b)), b))) → top#(f(f(ok(a), f(ok(b), ok(b))), ok(b)))top#(mark(f(f(a, f(b, f(_x81, _x82))), b))) → top#(f(f(ok(a), f(ok(b), f(proper(_x81), proper(_x82)))), ok(b)))
top#(mark(f(f(_x41, b), b))) → top#(f(f(proper(_x41), ok(b)), ok(b)))top#(mark(f(f(a, f(b, a)), b))) → top#(f(f(ok(a), f(ok(b), ok(a))), ok(b)))
top#(mark(f(f(_x41, f(_x51, _x52)), b))) → top#(f(f(proper(_x41), f(proper(_x51), proper(_x52))), ok(b)))top#(ok(b)) → top#(mark(a))
top#(mark(f(a, b))) → top#(f(ok(a), ok(b)))top#(mark(f(f(a, a), b))) → top#(f(f(ok(a), ok(a)), ok(b)))
top#(mark(f(f(a, f(f(_x71, _x72), _x52)), b))) → top#(f(f(ok(a), f(f(proper(_x71), proper(_x72)), proper(_x52))), ok(b)))top#(mark(b)) → top#(ok(b))
top#(mark(f(f(_x41, a), b))) → top#(f(f(proper(_x41), ok(a)), ok(b)))top#(mark(f(f(a, f(_x51, b)), b))) → top#(f(f(ok(a), f(proper(_x51), ok(b))), ok(b)))
top#(mark(f(_x21, f(_x51, _x52)))) → top#(f(proper(_x21), f(proper(_x51), proper(_x52))))

Rewrite Rules

active(f(X, X)) → mark(f(a, b))active(b) → mark(a)
active(f(X1, X2)) → f(active(X1), X2)f(mark(X1), X2) → mark(f(X1, X2))
proper(f(X1, X2)) → f(proper(X1), proper(X2))proper(a) → ok(a)
proper(b) → ok(b)f(ok(X1), ok(X2)) → ok(f(X1, X2))
top(mark(X)) → top(proper(X))top(ok(X)) → top(active(X))

Original Signature

Termination of terms over the following signature is verified: f, b, a, active, mark, ok, proper, top

Strategy

The right-hand side of the rule top#(mark(f(f(a, f(_x51, a)), b))) → top#(f(f(ok(a), f(proper(_x51), ok(a))), ok(b))) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
top#(f(f(ok(a), f(f(proper(_x71), proper(_x72)), ok(a))), ok(b))) 
top#(f(f(ok(a), f(ok(b), ok(a))), ok(b))) 
top#(f(f(ok(a), f(ok(a), ok(a))), ok(b))) 
Thus, the rule top#(mark(f(f(a, f(_x51, a)), b))) → top#(f(f(ok(a), f(proper(_x51), ok(a))), ok(b))) is replaced by the following rules:
top#(mark(f(f(a, f(a, a)), b))) → top#(f(f(ok(a), f(ok(a), ok(a))), ok(b)))top#(mark(f(f(a, f(b, a)), b))) → top#(f(f(ok(a), f(ok(b), ok(a))), ok(b)))
top#(mark(f(f(a, f(f(_x71, _x72), a)), b))) → top#(f(f(ok(a), f(f(proper(_x71), proper(_x72)), ok(a))), ok(b)))

Problem 18: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

top#(mark(f(b, b))) → top#(ok(f(b, b)))top#(mark(f(f(f(_x51, _x52), _x42), b))) → top#(f(f(f(proper(_x51), proper(_x52)), proper(_x42)), ok(b)))
top#(ok(f(_x21, _x21))) → top#(mark(f(a, b)))top#(mark(f(a, _x22))) → top#(f(ok(a), proper(_x22)))
top#(mark(f(f(a, f(a, a)), b))) → top#(f(f(ok(a), f(ok(a), ok(a))), ok(b)))top#(mark(f(b, f(_x51, _x52)))) → top#(f(ok(b), f(proper(_x51), proper(_x52))))
top#(mark(f(a, a))) → top#(f(ok(a), ok(a)))top#(mark(f(f(_x41, _x42), _x22))) → top#(f(f(proper(_x41), proper(_x42)), proper(_x22)))
top#(mark(f(b, a))) → top#(f(ok(b), ok(a)))top#(ok(f(_x21, _x22))) → top#(f(active(_x21), _x22))
top#(mark(f(f(a, f(_x51, f(_x81, _x82))), b))) → top#(f(f(ok(a), f(proper(_x51), f(proper(_x81), proper(_x82)))), ok(b)))top#(mark(f(b, b))) → top#(f(ok(b), ok(b)))
top#(mark(f(f(b, _x42), b))) → top#(f(f(ok(b), proper(_x42)), ok(b)))top#(mark(f(f(a, f(a, _x52)), b))) → top#(f(f(ok(a), f(ok(a), proper(_x52))), ok(b)))
top#(mark(f(f(a, b), b))) → top#(f(f(ok(a), ok(b)), ok(b)))top#(mark(f(f(_x41, _x42), a))) → top#(f(f(proper(_x41), proper(_x42)), ok(a)))
top#(mark(f(f(a, f(b, b)), b))) → top#(f(f(ok(a), f(ok(b), ok(b))), ok(b)))top#(mark(f(f(a, f(b, f(_x81, _x82))), b))) → top#(f(f(ok(a), f(ok(b), f(proper(_x81), proper(_x82)))), ok(b)))
top#(mark(f(f(_x41, b), b))) → top#(f(f(proper(_x41), ok(b)), ok(b)))top#(mark(f(f(a, f(f(_x71, _x72), a)), b))) → top#(f(f(ok(a), f(f(proper(_x71), proper(_x72)), ok(a))), ok(b)))
top#(mark(f(f(a, f(b, a)), b))) → top#(f(f(ok(a), f(ok(b), ok(a))), ok(b)))top#(mark(f(f(_x41, f(_x51, _x52)), b))) → top#(f(f(proper(_x41), f(proper(_x51), proper(_x52))), ok(b)))
top#(ok(b)) → top#(mark(a))top#(mark(f(a, b))) → top#(f(ok(a), ok(b)))
top#(mark(f(f(a, a), b))) → top#(f(f(ok(a), ok(a)), ok(b)))top#(mark(b)) → top#(ok(b))
top#(mark(f(f(a, f(f(_x71, _x72), _x52)), b))) → top#(f(f(ok(a), f(f(proper(_x71), proper(_x72)), proper(_x52))), ok(b)))top#(mark(f(f(_x41, a), b))) → top#(f(f(proper(_x41), ok(a)), ok(b)))
top#(mark(f(_x21, f(_x51, _x52)))) → top#(f(proper(_x21), f(proper(_x51), proper(_x52))))top#(mark(f(f(a, f(_x51, b)), b))) → top#(f(f(ok(a), f(proper(_x51), ok(b))), ok(b)))

Rewrite Rules

active(f(X, X)) → mark(f(a, b))active(b) → mark(a)
active(f(X1, X2)) → f(active(X1), X2)f(mark(X1), X2) → mark(f(X1, X2))
proper(f(X1, X2)) → f(proper(X1), proper(X2))proper(a) → ok(a)
proper(b) → ok(b)f(ok(X1), ok(X2)) → ok(f(X1, X2))
top(mark(X)) → top(proper(X))top(ok(X)) → top(active(X))

Original Signature

Termination of terms over the following signature is verified: f, b, a, active, ok, mark, proper, top

Strategy

The right-hand side of the rule top#(mark(f(f(f(_x51, _x52), _x42), b))) → top#(f(f(f(proper(_x51), proper(_x52)), proper(_x42)), ok(b))) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
top#(f(f(f(proper(_x51), ok(b)), proper(_x42)), ok(b))) 
top#(f(f(f(ok(a), proper(_x52)), proper(_x42)), ok(b))) 
top#(f(f(f(f(proper(_x61), proper(_x62)), proper(_x52)), proper(_x42)), ok(b))) 
top#(f(f(f(proper(_x51), f(proper(_x61), proper(_x62))), proper(_x42)), ok(b))) 
top#(f(f(f(ok(b), proper(_x52)), proper(_x42)), ok(b))) 
top#(f(f(f(proper(_x51), proper(_x52)), f(proper(_x51), proper(_x52))), ok(b))) 
top#(f(f(f(proper(_x51), proper(_x52)), ok(a)), ok(b))) 
top#(f(f(f(proper(_x51), proper(_x52)), ok(b)), ok(b))) 
top#(f(f(f(proper(_x51), ok(a)), proper(_x42)), ok(b))) 
Thus, the rule top#(mark(f(f(f(_x51, _x52), _x42), b))) → top#(f(f(f(proper(_x51), proper(_x52)), proper(_x42)), ok(b))) is replaced by the following rules:
top#(mark(f(f(f(_x51, b), _x42), b))) → top#(f(f(f(proper(_x51), ok(b)), proper(_x42)), ok(b)))top#(mark(f(f(f(_x51, f(_x61, _x62)), _x42), b))) → top#(f(f(f(proper(_x51), f(proper(_x61), proper(_x62))), proper(_x42)), ok(b)))
top#(mark(f(f(f(_x51, _x52), a), b))) → top#(f(f(f(proper(_x51), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(_x51, _x52), b), b))) → top#(f(f(f(proper(_x51), proper(_x52)), ok(b)), ok(b)))
top#(mark(f(f(f(f(_x61, _x62), _x52), _x42), b))) → top#(f(f(f(f(proper(_x61), proper(_x62)), proper(_x52)), proper(_x42)), ok(b)))top#(mark(f(f(f(a, _x52), _x42), b))) → top#(f(f(f(ok(a), proper(_x52)), proper(_x42)), ok(b)))
top#(mark(f(f(f(b, _x52), _x42), b))) → top#(f(f(f(ok(b), proper(_x52)), proper(_x42)), ok(b)))top#(mark(f(f(f(_x51, a), _x42), b))) → top#(f(f(f(proper(_x51), ok(a)), proper(_x42)), ok(b)))
top#(mark(f(f(f(_x51, _x52), f(_x51, _x52)), b))) → top#(f(f(f(proper(_x51), proper(_x52)), f(proper(_x51), proper(_x52))), ok(b)))

Problem 19: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

top#(mark(f(b, b))) → top#(ok(f(b, b)))top#(ok(f(_x21, _x21))) → top#(mark(f(a, b)))
top#(mark(f(f(a, f(a, a)), b))) → top#(f(f(ok(a), f(ok(a), ok(a))), ok(b)))top#(mark(f(a, _x22))) → top#(f(ok(a), proper(_x22)))
top#(mark(f(b, f(_x51, _x52)))) → top#(f(ok(b), f(proper(_x51), proper(_x52))))top#(mark(f(a, a))) → top#(f(ok(a), ok(a)))
top#(mark(f(f(f(_x51, _x52), a), b))) → top#(f(f(f(proper(_x51), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(_x41, _x42), _x22))) → top#(f(f(proper(_x41), proper(_x42)), proper(_x22)))
top#(ok(f(_x21, _x22))) → top#(f(active(_x21), _x22))top#(mark(f(b, a))) → top#(f(ok(b), ok(a)))
top#(mark(f(f(a, f(_x51, f(_x81, _x82))), b))) → top#(f(f(ok(a), f(proper(_x51), f(proper(_x81), proper(_x82)))), ok(b)))top#(mark(f(b, b))) → top#(f(ok(b), ok(b)))
top#(mark(f(f(f(_x51, f(_x61, _x62)), _x42), b))) → top#(f(f(f(proper(_x51), f(proper(_x61), proper(_x62))), proper(_x42)), ok(b)))top#(mark(f(f(b, _x42), b))) → top#(f(f(ok(b), proper(_x42)), ok(b)))
top#(mark(f(f(f(_x51, _x52), b), b))) → top#(f(f(f(proper(_x51), proper(_x52)), ok(b)), ok(b)))top#(mark(f(f(f(a, _x52), _x42), b))) → top#(f(f(f(ok(a), proper(_x52)), proper(_x42)), ok(b)))
top#(mark(f(f(f(b, _x52), _x42), b))) → top#(f(f(f(ok(b), proper(_x52)), proper(_x42)), ok(b)))top#(mark(f(f(f(_x51, a), _x42), b))) → top#(f(f(f(proper(_x51), ok(a)), proper(_x42)), ok(b)))
top#(mark(f(f(a, f(a, _x52)), b))) → top#(f(f(ok(a), f(ok(a), proper(_x52))), ok(b)))top#(mark(f(f(a, b), b))) → top#(f(f(ok(a), ok(b)), ok(b)))
top#(mark(f(f(_x41, _x42), a))) → top#(f(f(proper(_x41), proper(_x42)), ok(a)))top#(mark(f(f(a, f(b, b)), b))) → top#(f(f(ok(a), f(ok(b), ok(b))), ok(b)))
top#(mark(f(f(a, f(b, f(_x81, _x82))), b))) → top#(f(f(ok(a), f(ok(b), f(proper(_x81), proper(_x82)))), ok(b)))top#(mark(f(f(_x41, b), b))) → top#(f(f(proper(_x41), ok(b)), ok(b)))
top#(mark(f(f(f(_x51, b), _x42), b))) → top#(f(f(f(proper(_x51), ok(b)), proper(_x42)), ok(b)))top#(mark(f(f(_x41, f(_x51, _x52)), b))) → top#(f(f(proper(_x41), f(proper(_x51), proper(_x52))), ok(b)))
top#(mark(f(f(a, f(b, a)), b))) → top#(f(f(ok(a), f(ok(b), ok(a))), ok(b)))top#(mark(f(f(a, f(f(_x71, _x72), a)), b))) → top#(f(f(ok(a), f(f(proper(_x71), proper(_x72)), ok(a))), ok(b)))
top#(mark(f(f(f(f(_x61, _x62), _x52), _x42), b))) → top#(f(f(f(f(proper(_x61), proper(_x62)), proper(_x52)), proper(_x42)), ok(b)))top#(mark(f(a, b))) → top#(f(ok(a), ok(b)))
top#(ok(b)) → top#(mark(a))top#(mark(f(f(a, a), b))) → top#(f(f(ok(a), ok(a)), ok(b)))
top#(mark(f(f(a, f(f(_x71, _x72), _x52)), b))) → top#(f(f(ok(a), f(f(proper(_x71), proper(_x72)), proper(_x52))), ok(b)))top#(mark(b)) → top#(ok(b))
top#(mark(f(f(_x41, a), b))) → top#(f(f(proper(_x41), ok(a)), ok(b)))top#(mark(f(f(a, f(_x51, b)), b))) → top#(f(f(ok(a), f(proper(_x51), ok(b))), ok(b)))
top#(mark(f(_x21, f(_x51, _x52)))) → top#(f(proper(_x21), f(proper(_x51), proper(_x52))))top#(mark(f(f(f(_x51, _x52), f(_x51, _x52)), b))) → top#(f(f(f(proper(_x51), proper(_x52)), f(proper(_x51), proper(_x52))), ok(b)))

Rewrite Rules

active(f(X, X)) → mark(f(a, b))active(b) → mark(a)
active(f(X1, X2)) → f(active(X1), X2)f(mark(X1), X2) → mark(f(X1, X2))
proper(f(X1, X2)) → f(proper(X1), proper(X2))proper(a) → ok(a)
proper(b) → ok(b)f(ok(X1), ok(X2)) → ok(f(X1, X2))
top(mark(X)) → top(proper(X))top(ok(X)) → top(active(X))

Original Signature

Termination of terms over the following signature is verified: f, b, a, active, mark, ok, proper, top

Strategy

The right-hand side of the rule top#(mark(f(a, _x22))) → top#(f(ok(a), proper(_x22))) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
top#(f(ok(a), ok(b))) 
top#(f(ok(a), f(proper(_x51), proper(_x52)))) 
top#(f(ok(a), ok(a))) 
Thus, the rule top#(mark(f(a, _x22))) → top#(f(ok(a), proper(_x22))) is replaced by the following rules:
top#(mark(f(a, a))) → top#(f(ok(a), ok(a)))top#(mark(f(a, b))) → top#(f(ok(a), ok(b)))
top#(mark(f(a, f(_x51, _x52)))) → top#(f(ok(a), f(proper(_x51), proper(_x52))))

Problem 20: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

top#(mark(f(b, b))) → top#(ok(f(b, b)))top#(mark(f(a, f(_x51, _x52)))) → top#(f(ok(a), f(proper(_x51), proper(_x52))))
top#(ok(f(_x21, _x21))) → top#(mark(f(a, b)))top#(mark(f(f(a, f(a, a)), b))) → top#(f(f(ok(a), f(ok(a), ok(a))), ok(b)))
top#(mark(f(b, f(_x51, _x52)))) → top#(f(ok(b), f(proper(_x51), proper(_x52))))top#(mark(f(f(f(_x51, _x52), a), b))) → top#(f(f(f(proper(_x51), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(a, a))) → top#(f(ok(a), ok(a)))top#(mark(f(f(_x41, _x42), _x22))) → top#(f(f(proper(_x41), proper(_x42)), proper(_x22)))
top#(mark(f(b, a))) → top#(f(ok(b), ok(a)))top#(ok(f(_x21, _x22))) → top#(f(active(_x21), _x22))
top#(mark(f(f(a, f(_x51, f(_x81, _x82))), b))) → top#(f(f(ok(a), f(proper(_x51), f(proper(_x81), proper(_x82)))), ok(b)))top#(mark(f(b, b))) → top#(f(ok(b), ok(b)))
top#(mark(f(f(f(_x51, f(_x61, _x62)), _x42), b))) → top#(f(f(f(proper(_x51), f(proper(_x61), proper(_x62))), proper(_x42)), ok(b)))top#(mark(f(f(b, _x42), b))) → top#(f(f(ok(b), proper(_x42)), ok(b)))
top#(mark(f(f(f(_x51, _x52), b), b))) → top#(f(f(f(proper(_x51), proper(_x52)), ok(b)), ok(b)))top#(mark(f(f(f(a, _x52), _x42), b))) → top#(f(f(f(ok(a), proper(_x52)), proper(_x42)), ok(b)))
top#(mark(f(f(f(b, _x52), _x42), b))) → top#(f(f(f(ok(b), proper(_x52)), proper(_x42)), ok(b)))top#(mark(f(f(f(_x51, a), _x42), b))) → top#(f(f(f(proper(_x51), ok(a)), proper(_x42)), ok(b)))
top#(mark(f(f(a, f(a, _x52)), b))) → top#(f(f(ok(a), f(ok(a), proper(_x52))), ok(b)))top#(mark(f(f(a, b), b))) → top#(f(f(ok(a), ok(b)), ok(b)))
top#(mark(f(f(_x41, _x42), a))) → top#(f(f(proper(_x41), proper(_x42)), ok(a)))top#(mark(f(f(a, f(b, b)), b))) → top#(f(f(ok(a), f(ok(b), ok(b))), ok(b)))
top#(mark(f(f(a, f(b, f(_x81, _x82))), b))) → top#(f(f(ok(a), f(ok(b), f(proper(_x81), proper(_x82)))), ok(b)))top#(mark(f(f(_x41, b), b))) → top#(f(f(proper(_x41), ok(b)), ok(b)))
top#(mark(f(f(f(_x51, b), _x42), b))) → top#(f(f(f(proper(_x51), ok(b)), proper(_x42)), ok(b)))top#(mark(f(f(a, f(f(_x71, _x72), a)), b))) → top#(f(f(ok(a), f(f(proper(_x71), proper(_x72)), ok(a))), ok(b)))
top#(mark(f(f(a, f(b, a)), b))) → top#(f(f(ok(a), f(ok(b), ok(a))), ok(b)))top#(mark(f(f(_x41, f(_x51, _x52)), b))) → top#(f(f(proper(_x41), f(proper(_x51), proper(_x52))), ok(b)))
top#(mark(f(f(f(f(_x61, _x62), _x52), _x42), b))) → top#(f(f(f(f(proper(_x61), proper(_x62)), proper(_x52)), proper(_x42)), ok(b)))top#(ok(b)) → top#(mark(a))
top#(mark(f(a, b))) → top#(f(ok(a), ok(b)))top#(mark(f(f(a, a), b))) → top#(f(f(ok(a), ok(a)), ok(b)))
top#(mark(b)) → top#(ok(b))top#(mark(f(f(a, f(f(_x71, _x72), _x52)), b))) → top#(f(f(ok(a), f(f(proper(_x71), proper(_x72)), proper(_x52))), ok(b)))
top#(mark(f(f(_x41, a), b))) → top#(f(f(proper(_x41), ok(a)), ok(b)))top#(mark(f(f(f(_x51, _x52), f(_x51, _x52)), b))) → top#(f(f(f(proper(_x51), proper(_x52)), f(proper(_x51), proper(_x52))), ok(b)))
top#(mark(f(_x21, f(_x51, _x52)))) → top#(f(proper(_x21), f(proper(_x51), proper(_x52))))top#(mark(f(f(a, f(_x51, b)), b))) → top#(f(f(ok(a), f(proper(_x51), ok(b))), ok(b)))

Rewrite Rules

active(f(X, X)) → mark(f(a, b))active(b) → mark(a)
active(f(X1, X2)) → f(active(X1), X2)f(mark(X1), X2) → mark(f(X1, X2))
proper(f(X1, X2)) → f(proper(X1), proper(X2))proper(a) → ok(a)
proper(b) → ok(b)f(ok(X1), ok(X2)) → ok(f(X1, X2))
top(mark(X)) → top(proper(X))top(ok(X)) → top(active(X))

Original Signature

Termination of terms over the following signature is verified: f, b, a, active, ok, mark, proper, top

Strategy

The right-hand side of the rule top#(mark(f(a, f(_x51, _x52)))) → top#(f(ok(a), f(proper(_x51), proper(_x52)))) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
top#(f(ok(a), f(proper(_x51), ok(b)))) 
top#(f(ok(a), f(proper(_x51), f(proper(_x61), proper(_x62))))) 
top#(f(ok(a), f(proper(_x51), ok(a)))) 
top#(f(ok(a), f(f(proper(_x61), proper(_x62)), proper(_x52)))) 
top#(f(ok(a), f(ok(b), proper(_x52)))) 
top#(f(ok(a), f(ok(a), proper(_x52)))) 
Thus, the rule top#(mark(f(a, f(_x51, _x52)))) → top#(f(ok(a), f(proper(_x51), proper(_x52)))) is replaced by the following rules:
top#(mark(f(a, f(a, _x52)))) → top#(f(ok(a), f(ok(a), proper(_x52))))top#(mark(f(a, f(_x51, f(_x61, _x62))))) → top#(f(ok(a), f(proper(_x51), f(proper(_x61), proper(_x62)))))
top#(mark(f(a, f(_x51, a)))) → top#(f(ok(a), f(proper(_x51), ok(a))))top#(mark(f(a, f(f(_x61, _x62), _x52)))) → top#(f(ok(a), f(f(proper(_x61), proper(_x62)), proper(_x52))))
top#(mark(f(a, f(_x51, b)))) → top#(f(ok(a), f(proper(_x51), ok(b))))top#(mark(f(a, f(b, _x52)))) → top#(f(ok(a), f(ok(b), proper(_x52))))

Problem 21: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

top#(mark(f(b, b))) → top#(ok(f(b, b)))top#(mark(f(a, f(b, _x52)))) → top#(f(ok(a), f(ok(b), proper(_x52))))
top#(ok(f(_x21, _x21))) → top#(mark(f(a, b)))top#(mark(f(f(a, f(a, a)), b))) → top#(f(f(ok(a), f(ok(a), ok(a))), ok(b)))
top#(mark(f(a, f(a, _x52)))) → top#(f(ok(a), f(ok(a), proper(_x52))))top#(mark(f(b, f(_x51, _x52)))) → top#(f(ok(b), f(proper(_x51), proper(_x52))))
top#(mark(f(a, a))) → top#(f(ok(a), ok(a)))top#(mark(f(f(f(_x51, _x52), a), b))) → top#(f(f(f(proper(_x51), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(_x41, _x42), _x22))) → top#(f(f(proper(_x41), proper(_x42)), proper(_x22)))top#(mark(f(a, f(f(_x61, _x62), _x52)))) → top#(f(ok(a), f(f(proper(_x61), proper(_x62)), proper(_x52))))
top#(ok(f(_x21, _x22))) → top#(f(active(_x21), _x22))top#(mark(f(b, a))) → top#(f(ok(b), ok(a)))
top#(mark(f(f(a, f(_x51, f(_x81, _x82))), b))) → top#(f(f(ok(a), f(proper(_x51), f(proper(_x81), proper(_x82)))), ok(b)))top#(mark(f(b, b))) → top#(f(ok(b), ok(b)))
top#(mark(f(a, f(_x51, f(_x61, _x62))))) → top#(f(ok(a), f(proper(_x51), f(proper(_x61), proper(_x62)))))top#(mark(f(f(f(_x51, f(_x61, _x62)), _x42), b))) → top#(f(f(f(proper(_x51), f(proper(_x61), proper(_x62))), proper(_x42)), ok(b)))
top#(mark(f(f(b, _x42), b))) → top#(f(f(ok(b), proper(_x42)), ok(b)))top#(mark(f(f(f(_x51, _x52), b), b))) → top#(f(f(f(proper(_x51), proper(_x52)), ok(b)), ok(b)))
top#(mark(f(f(f(a, _x52), _x42), b))) → top#(f(f(f(ok(a), proper(_x52)), proper(_x42)), ok(b)))top#(mark(f(f(f(b, _x52), _x42), b))) → top#(f(f(f(ok(b), proper(_x52)), proper(_x42)), ok(b)))
top#(mark(f(f(f(_x51, a), _x42), b))) → top#(f(f(f(proper(_x51), ok(a)), proper(_x42)), ok(b)))top#(mark(f(f(a, f(a, _x52)), b))) → top#(f(f(ok(a), f(ok(a), proper(_x52))), ok(b)))
top#(mark(f(f(a, b), b))) → top#(f(f(ok(a), ok(b)), ok(b)))top#(mark(f(a, f(_x51, b)))) → top#(f(ok(a), f(proper(_x51), ok(b))))
top#(mark(f(f(_x41, _x42), a))) → top#(f(f(proper(_x41), proper(_x42)), ok(a)))top#(mark(f(f(_x41, b), b))) → top#(f(f(proper(_x41), ok(b)), ok(b)))
top#(mark(f(f(a, f(b, f(_x81, _x82))), b))) → top#(f(f(ok(a), f(ok(b), f(proper(_x81), proper(_x82)))), ok(b)))top#(mark(f(f(a, f(b, b)), b))) → top#(f(f(ok(a), f(ok(b), ok(b))), ok(b)))
top#(mark(f(f(f(_x51, b), _x42), b))) → top#(f(f(f(proper(_x51), ok(b)), proper(_x42)), ok(b)))top#(mark(f(f(_x41, f(_x51, _x52)), b))) → top#(f(f(proper(_x41), f(proper(_x51), proper(_x52))), ok(b)))
top#(mark(f(f(a, f(b, a)), b))) → top#(f(f(ok(a), f(ok(b), ok(a))), ok(b)))top#(mark(f(f(a, f(f(_x71, _x72), a)), b))) → top#(f(f(ok(a), f(f(proper(_x71), proper(_x72)), ok(a))), ok(b)))
top#(mark(f(f(f(f(_x61, _x62), _x52), _x42), b))) → top#(f(f(f(f(proper(_x61), proper(_x62)), proper(_x52)), proper(_x42)), ok(b)))top#(mark(f(a, b))) → top#(f(ok(a), ok(b)))
top#(ok(b)) → top#(mark(a))top#(mark(f(f(a, a), b))) → top#(f(f(ok(a), ok(a)), ok(b)))
top#(mark(f(a, f(_x51, a)))) → top#(f(ok(a), f(proper(_x51), ok(a))))top#(mark(f(f(a, f(f(_x71, _x72), _x52)), b))) → top#(f(f(ok(a), f(f(proper(_x71), proper(_x72)), proper(_x52))), ok(b)))
top#(mark(b)) → top#(ok(b))top#(mark(f(f(_x41, a), b))) → top#(f(f(proper(_x41), ok(a)), ok(b)))
top#(mark(f(f(a, f(_x51, b)), b))) → top#(f(f(ok(a), f(proper(_x51), ok(b))), ok(b)))top#(mark(f(_x21, f(_x51, _x52)))) → top#(f(proper(_x21), f(proper(_x51), proper(_x52))))
top#(mark(f(f(f(_x51, _x52), f(_x51, _x52)), b))) → top#(f(f(f(proper(_x51), proper(_x52)), f(proper(_x51), proper(_x52))), ok(b)))

Rewrite Rules

active(f(X, X)) → mark(f(a, b))active(b) → mark(a)
active(f(X1, X2)) → f(active(X1), X2)f(mark(X1), X2) → mark(f(X1, X2))
proper(f(X1, X2)) → f(proper(X1), proper(X2))proper(a) → ok(a)
proper(b) → ok(b)f(ok(X1), ok(X2)) → ok(f(X1, X2))
top(mark(X)) → top(proper(X))top(ok(X)) → top(active(X))

Original Signature

Termination of terms over the following signature is verified: f, b, a, active, mark, ok, proper, top

Strategy

The right-hand side of the rule top#(mark(f(a, f(b, _x52)))) → top#(f(ok(a), f(ok(b), proper(_x52)))) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
top#(f(ok(a), f(ok(b), f(proper(_x61), proper(_x62))))) 
top#(f(ok(a), f(ok(b), ok(b)))) 
top#(f(ok(a), f(ok(b), ok(a)))) 
Thus, the rule top#(mark(f(a, f(b, _x52)))) → top#(f(ok(a), f(ok(b), proper(_x52)))) is replaced by the following rules:
top#(mark(f(a, f(b, b)))) → top#(f(ok(a), f(ok(b), ok(b))))top#(mark(f(a, f(b, a)))) → top#(f(ok(a), f(ok(b), ok(a))))
top#(mark(f(a, f(b, f(_x61, _x62))))) → top#(f(ok(a), f(ok(b), f(proper(_x61), proper(_x62)))))

Problem 22: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

top#(mark(f(b, b))) → top#(ok(f(b, b)))top#(ok(f(_x21, _x21))) → top#(mark(f(a, b)))
top#(mark(f(a, f(a, _x52)))) → top#(f(ok(a), f(ok(a), proper(_x52))))top#(mark(f(f(a, f(a, a)), b))) → top#(f(f(ok(a), f(ok(a), ok(a))), ok(b)))
top#(mark(f(b, f(_x51, _x52)))) → top#(f(ok(b), f(proper(_x51), proper(_x52))))top#(mark(f(f(f(_x51, _x52), a), b))) → top#(f(f(f(proper(_x51), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(a, a))) → top#(f(ok(a), ok(a)))top#(mark(f(a, f(b, a)))) → top#(f(ok(a), f(ok(b), ok(a))))
top#(mark(f(a, f(f(_x61, _x62), _x52)))) → top#(f(ok(a), f(f(proper(_x61), proper(_x62)), proper(_x52))))top#(mark(f(f(_x41, _x42), _x22))) → top#(f(f(proper(_x41), proper(_x42)), proper(_x22)))
top#(mark(f(b, a))) → top#(f(ok(b), ok(a)))top#(ok(f(_x21, _x22))) → top#(f(active(_x21), _x22))
top#(mark(f(f(a, f(_x51, f(_x81, _x82))), b))) → top#(f(f(ok(a), f(proper(_x51), f(proper(_x81), proper(_x82)))), ok(b)))top#(mark(f(b, b))) → top#(f(ok(b), ok(b)))
top#(mark(f(a, f(_x51, f(_x61, _x62))))) → top#(f(ok(a), f(proper(_x51), f(proper(_x61), proper(_x62)))))top#(mark(f(f(f(_x51, f(_x61, _x62)), _x42), b))) → top#(f(f(f(proper(_x51), f(proper(_x61), proper(_x62))), proper(_x42)), ok(b)))
top#(mark(f(f(b, _x42), b))) → top#(f(f(ok(b), proper(_x42)), ok(b)))top#(mark(f(f(f(_x51, _x52), b), b))) → top#(f(f(f(proper(_x51), proper(_x52)), ok(b)), ok(b)))
top#(mark(f(f(f(a, _x52), _x42), b))) → top#(f(f(f(ok(a), proper(_x52)), proper(_x42)), ok(b)))top#(mark(f(f(f(b, _x52), _x42), b))) → top#(f(f(f(ok(b), proper(_x52)), proper(_x42)), ok(b)))
top#(mark(f(f(f(_x51, a), _x42), b))) → top#(f(f(f(proper(_x51), ok(a)), proper(_x42)), ok(b)))top#(mark(f(f(a, f(a, _x52)), b))) → top#(f(f(ok(a), f(ok(a), proper(_x52))), ok(b)))
top#(mark(f(f(a, b), b))) → top#(f(f(ok(a), ok(b)), ok(b)))top#(mark(f(f(_x41, _x42), a))) → top#(f(f(proper(_x41), proper(_x42)), ok(a)))
top#(mark(f(a, f(b, f(_x61, _x62))))) → top#(f(ok(a), f(ok(b), f(proper(_x61), proper(_x62)))))top#(mark(f(a, f(_x51, b)))) → top#(f(ok(a), f(proper(_x51), ok(b))))
top#(mark(f(f(a, f(b, b)), b))) → top#(f(f(ok(a), f(ok(b), ok(b))), ok(b)))top#(mark(f(f(a, f(b, f(_x81, _x82))), b))) → top#(f(f(ok(a), f(ok(b), f(proper(_x81), proper(_x82)))), ok(b)))
top#(mark(f(f(_x41, b), b))) → top#(f(f(proper(_x41), ok(b)), ok(b)))top#(mark(f(f(f(_x51, b), _x42), b))) → top#(f(f(f(proper(_x51), ok(b)), proper(_x42)), ok(b)))
top#(mark(f(a, f(b, b)))) → top#(f(ok(a), f(ok(b), ok(b))))top#(mark(f(f(a, f(f(_x71, _x72), a)), b))) → top#(f(f(ok(a), f(f(proper(_x71), proper(_x72)), ok(a))), ok(b)))
top#(mark(f(f(a, f(b, a)), b))) → top#(f(f(ok(a), f(ok(b), ok(a))), ok(b)))top#(mark(f(f(_x41, f(_x51, _x52)), b))) → top#(f(f(proper(_x41), f(proper(_x51), proper(_x52))), ok(b)))
top#(mark(f(f(f(f(_x61, _x62), _x52), _x42), b))) → top#(f(f(f(f(proper(_x61), proper(_x62)), proper(_x52)), proper(_x42)), ok(b)))top#(ok(b)) → top#(mark(a))
top#(mark(f(a, b))) → top#(f(ok(a), ok(b)))top#(mark(f(a, f(_x51, a)))) → top#(f(ok(a), f(proper(_x51), ok(a))))
top#(mark(f(f(a, a), b))) → top#(f(f(ok(a), ok(a)), ok(b)))top#(mark(b)) → top#(ok(b))
top#(mark(f(f(a, f(f(_x71, _x72), _x52)), b))) → top#(f(f(ok(a), f(f(proper(_x71), proper(_x72)), proper(_x52))), ok(b)))top#(mark(f(f(_x41, a), b))) → top#(f(f(proper(_x41), ok(a)), ok(b)))
top#(mark(f(f(f(_x51, _x52), f(_x51, _x52)), b))) → top#(f(f(f(proper(_x51), proper(_x52)), f(proper(_x51), proper(_x52))), ok(b)))top#(mark(f(_x21, f(_x51, _x52)))) → top#(f(proper(_x21), f(proper(_x51), proper(_x52))))
top#(mark(f(f(a, f(_x51, b)), b))) → top#(f(f(ok(a), f(proper(_x51), ok(b))), ok(b)))

Rewrite Rules

active(f(X, X)) → mark(f(a, b))active(b) → mark(a)
active(f(X1, X2)) → f(active(X1), X2)f(mark(X1), X2) → mark(f(X1, X2))
proper(f(X1, X2)) → f(proper(X1), proper(X2))proper(a) → ok(a)
proper(b) → ok(b)f(ok(X1), ok(X2)) → ok(f(X1, X2))
top(mark(X)) → top(proper(X))top(ok(X)) → top(active(X))

Original Signature

Termination of terms over the following signature is verified: f, b, a, active, ok, mark, proper, top

Strategy

The right-hand side of the rule top#(mark(f(f(a, f(a, a)), b))) → top#(f(f(ok(a), f(ok(a), ok(a))), ok(b))) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
top#(f(f(ok(a), ok(f(a, a))), ok(b))) 
Thus, the rule top#(mark(f(f(a, f(a, a)), b))) → top#(f(f(ok(a), f(ok(a), ok(a))), ok(b))) is replaced by the following rules:
top#(mark(f(f(a, f(a, a)), b))) → top#(f(f(ok(a), ok(f(a, a))), ok(b)))

Problem 23: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

top#(mark(f(b, b))) → top#(ok(f(b, b)))top#(ok(f(_x21, _x21))) → top#(mark(f(a, b)))
top#(mark(f(a, f(a, _x52)))) → top#(f(ok(a), f(ok(a), proper(_x52))))top#(mark(f(b, f(_x51, _x52)))) → top#(f(ok(b), f(proper(_x51), proper(_x52))))
top#(mark(f(a, a))) → top#(f(ok(a), ok(a)))top#(mark(f(f(f(_x51, _x52), a), b))) → top#(f(f(f(proper(_x51), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(a, f(b, a)))) → top#(f(ok(a), f(ok(b), ok(a))))top#(mark(f(f(_x41, _x42), _x22))) → top#(f(f(proper(_x41), proper(_x42)), proper(_x22)))
top#(mark(f(a, f(f(_x61, _x62), _x52)))) → top#(f(ok(a), f(f(proper(_x61), proper(_x62)), proper(_x52))))top#(ok(f(_x21, _x22))) → top#(f(active(_x21), _x22))
top#(mark(f(b, a))) → top#(f(ok(b), ok(a)))top#(mark(f(f(a, f(_x51, f(_x81, _x82))), b))) → top#(f(f(ok(a), f(proper(_x51), f(proper(_x81), proper(_x82)))), ok(b)))
top#(mark(f(b, b))) → top#(f(ok(b), ok(b)))top#(mark(f(a, f(_x51, f(_x61, _x62))))) → top#(f(ok(a), f(proper(_x51), f(proper(_x61), proper(_x62)))))
top#(mark(f(f(f(_x51, f(_x61, _x62)), _x42), b))) → top#(f(f(f(proper(_x51), f(proper(_x61), proper(_x62))), proper(_x42)), ok(b)))top#(mark(f(f(b, _x42), b))) → top#(f(f(ok(b), proper(_x42)), ok(b)))
top#(mark(f(f(f(_x51, _x52), b), b))) → top#(f(f(f(proper(_x51), proper(_x52)), ok(b)), ok(b)))top#(mark(f(f(a, f(a, a)), b))) → top#(f(f(ok(a), ok(f(a, a))), ok(b)))
top#(mark(f(f(f(a, _x52), _x42), b))) → top#(f(f(f(ok(a), proper(_x52)), proper(_x42)), ok(b)))top#(mark(f(f(f(b, _x52), _x42), b))) → top#(f(f(f(ok(b), proper(_x52)), proper(_x42)), ok(b)))
top#(mark(f(f(f(_x51, a), _x42), b))) → top#(f(f(f(proper(_x51), ok(a)), proper(_x42)), ok(b)))top#(mark(f(f(a, f(a, _x52)), b))) → top#(f(f(ok(a), f(ok(a), proper(_x52))), ok(b)))
top#(mark(f(f(a, b), b))) → top#(f(f(ok(a), ok(b)), ok(b)))top#(mark(f(a, f(_x51, b)))) → top#(f(ok(a), f(proper(_x51), ok(b))))
top#(mark(f(f(_x41, _x42), a))) → top#(f(f(proper(_x41), proper(_x42)), ok(a)))top#(mark(f(a, f(b, f(_x61, _x62))))) → top#(f(ok(a), f(ok(b), f(proper(_x61), proper(_x62)))))
top#(mark(f(f(_x41, b), b))) → top#(f(f(proper(_x41), ok(b)), ok(b)))top#(mark(f(f(a, f(b, f(_x81, _x82))), b))) → top#(f(f(ok(a), f(ok(b), f(proper(_x81), proper(_x82)))), ok(b)))
top#(mark(f(f(a, f(b, b)), b))) → top#(f(f(ok(a), f(ok(b), ok(b))), ok(b)))top#(mark(f(f(f(_x51, b), _x42), b))) → top#(f(f(f(proper(_x51), ok(b)), proper(_x42)), ok(b)))
top#(mark(f(a, f(b, b)))) → top#(f(ok(a), f(ok(b), ok(b))))top#(mark(f(f(_x41, f(_x51, _x52)), b))) → top#(f(f(proper(_x41), f(proper(_x51), proper(_x52))), ok(b)))
top#(mark(f(f(a, f(b, a)), b))) → top#(f(f(ok(a), f(ok(b), ok(a))), ok(b)))top#(mark(f(f(a, f(f(_x71, _x72), a)), b))) → top#(f(f(ok(a), f(f(proper(_x71), proper(_x72)), ok(a))), ok(b)))
top#(mark(f(f(f(f(_x61, _x62), _x52), _x42), b))) → top#(f(f(f(f(proper(_x61), proper(_x62)), proper(_x52)), proper(_x42)), ok(b)))top#(mark(f(a, b))) → top#(f(ok(a), ok(b)))
top#(ok(b)) → top#(mark(a))top#(mark(f(f(a, a), b))) → top#(f(f(ok(a), ok(a)), ok(b)))
top#(mark(f(a, f(_x51, a)))) → top#(f(ok(a), f(proper(_x51), ok(a))))top#(mark(f(f(a, f(f(_x71, _x72), _x52)), b))) → top#(f(f(ok(a), f(f(proper(_x71), proper(_x72)), proper(_x52))), ok(b)))
top#(mark(b)) → top#(ok(b))top#(mark(f(f(_x41, a), b))) → top#(f(f(proper(_x41), ok(a)), ok(b)))
top#(mark(f(f(a, f(_x51, b)), b))) → top#(f(f(ok(a), f(proper(_x51), ok(b))), ok(b)))top#(mark(f(_x21, f(_x51, _x52)))) → top#(f(proper(_x21), f(proper(_x51), proper(_x52))))
top#(mark(f(f(f(_x51, _x52), f(_x51, _x52)), b))) → top#(f(f(f(proper(_x51), proper(_x52)), f(proper(_x51), proper(_x52))), ok(b)))

Rewrite Rules

active(f(X, X)) → mark(f(a, b))active(b) → mark(a)
active(f(X1, X2)) → f(active(X1), X2)f(mark(X1), X2) → mark(f(X1, X2))
proper(f(X1, X2)) → f(proper(X1), proper(X2))proper(a) → ok(a)
proper(b) → ok(b)f(ok(X1), ok(X2)) → ok(f(X1, X2))
top(mark(X)) → top(proper(X))top(ok(X)) → top(active(X))

Original Signature

Termination of terms over the following signature is verified: f, b, a, active, mark, ok, proper, top

Strategy

The right-hand side of the rule top#(mark(f(a, f(a, _x52)))) → top#(f(ok(a), f(ok(a), proper(_x52)))) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
top#(f(ok(a), f(ok(a), ok(a)))) 
top#(f(ok(a), f(ok(a), ok(b)))) 
top#(f(ok(a), f(ok(a), f(proper(_x61), proper(_x62))))) 
Thus, the rule top#(mark(f(a, f(a, _x52)))) → top#(f(ok(a), f(ok(a), proper(_x52)))) is replaced by the following rules:
top#(mark(f(a, f(a, f(_x61, _x62))))) → top#(f(ok(a), f(ok(a), f(proper(_x61), proper(_x62)))))top#(mark(f(a, f(a, b)))) → top#(f(ok(a), f(ok(a), ok(b))))
top#(mark(f(a, f(a, a)))) → top#(f(ok(a), f(ok(a), ok(a))))

Problem 24: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

top#(mark(f(b, b))) → top#(ok(f(b, b)))top#(ok(f(_x21, _x21))) → top#(mark(f(a, b)))
top#(mark(f(b, f(_x51, _x52)))) → top#(f(ok(b), f(proper(_x51), proper(_x52))))top#(mark(f(f(f(_x51, _x52), a), b))) → top#(f(f(f(proper(_x51), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(a, a))) → top#(f(ok(a), ok(a)))top#(mark(f(a, f(b, a)))) → top#(f(ok(a), f(ok(b), ok(a))))
top#(mark(f(a, f(f(_x61, _x62), _x52)))) → top#(f(ok(a), f(f(proper(_x61), proper(_x62)), proper(_x52))))top#(mark(f(f(_x41, _x42), _x22))) → top#(f(f(proper(_x41), proper(_x42)), proper(_x22)))
top#(mark(f(b, a))) → top#(f(ok(b), ok(a)))top#(ok(f(_x21, _x22))) → top#(f(active(_x21), _x22))
top#(mark(f(f(a, f(_x51, f(_x81, _x82))), b))) → top#(f(f(ok(a), f(proper(_x51), f(proper(_x81), proper(_x82)))), ok(b)))top#(mark(f(a, f(a, f(_x61, _x62))))) → top#(f(ok(a), f(ok(a), f(proper(_x61), proper(_x62)))))
top#(mark(f(b, b))) → top#(f(ok(b), ok(b)))top#(mark(f(a, f(_x51, f(_x61, _x62))))) → top#(f(ok(a), f(proper(_x51), f(proper(_x61), proper(_x62)))))
top#(mark(f(f(f(_x51, f(_x61, _x62)), _x42), b))) → top#(f(f(f(proper(_x51), f(proper(_x61), proper(_x62))), proper(_x42)), ok(b)))top#(mark(f(f(b, _x42), b))) → top#(f(f(ok(b), proper(_x42)), ok(b)))
top#(mark(f(f(f(_x51, _x52), b), b))) → top#(f(f(f(proper(_x51), proper(_x52)), ok(b)), ok(b)))top#(mark(f(f(a, f(a, a)), b))) → top#(f(f(ok(a), ok(f(a, a))), ok(b)))
top#(mark(f(f(f(a, _x52), _x42), b))) → top#(f(f(f(ok(a), proper(_x52)), proper(_x42)), ok(b)))top#(mark(f(f(f(b, _x52), _x42), b))) → top#(f(f(f(ok(b), proper(_x52)), proper(_x42)), ok(b)))
top#(mark(f(f(f(_x51, a), _x42), b))) → top#(f(f(f(proper(_x51), ok(a)), proper(_x42)), ok(b)))top#(mark(f(f(a, f(a, _x52)), b))) → top#(f(f(ok(a), f(ok(a), proper(_x52))), ok(b)))
top#(mark(f(f(a, b), b))) → top#(f(f(ok(a), ok(b)), ok(b)))top#(mark(f(a, f(b, f(_x61, _x62))))) → top#(f(ok(a), f(ok(b), f(proper(_x61), proper(_x62)))))
top#(mark(f(a, f(_x51, b)))) → top#(f(ok(a), f(proper(_x51), ok(b))))top#(mark(f(f(_x41, _x42), a))) → top#(f(f(proper(_x41), proper(_x42)), ok(a)))
top#(mark(f(f(a, f(b, b)), b))) → top#(f(f(ok(a), f(ok(b), ok(b))), ok(b)))top#(mark(f(f(a, f(b, f(_x81, _x82))), b))) → top#(f(f(ok(a), f(ok(b), f(proper(_x81), proper(_x82)))), ok(b)))
top#(mark(f(f(_x41, b), b))) → top#(f(f(proper(_x41), ok(b)), ok(b)))top#(mark(f(f(f(_x51, b), _x42), b))) → top#(f(f(f(proper(_x51), ok(b)), proper(_x42)), ok(b)))
top#(mark(f(a, f(b, b)))) → top#(f(ok(a), f(ok(b), ok(b))))top#(mark(f(a, f(a, b)))) → top#(f(ok(a), f(ok(a), ok(b))))
top#(mark(f(f(a, f(f(_x71, _x72), a)), b))) → top#(f(f(ok(a), f(f(proper(_x71), proper(_x72)), ok(a))), ok(b)))top#(mark(f(f(a, f(b, a)), b))) → top#(f(f(ok(a), f(ok(b), ok(a))), ok(b)))
top#(mark(f(f(_x41, f(_x51, _x52)), b))) → top#(f(f(proper(_x41), f(proper(_x51), proper(_x52))), ok(b)))top#(mark(f(a, f(a, a)))) → top#(f(ok(a), f(ok(a), ok(a))))
top#(mark(f(f(f(f(_x61, _x62), _x52), _x42), b))) → top#(f(f(f(f(proper(_x61), proper(_x62)), proper(_x52)), proper(_x42)), ok(b)))top#(ok(b)) → top#(mark(a))
top#(mark(f(a, b))) → top#(f(ok(a), ok(b)))top#(mark(f(a, f(_x51, a)))) → top#(f(ok(a), f(proper(_x51), ok(a))))
top#(mark(f(f(a, a), b))) → top#(f(f(ok(a), ok(a)), ok(b)))top#(mark(b)) → top#(ok(b))
top#(mark(f(f(a, f(f(_x71, _x72), _x52)), b))) → top#(f(f(ok(a), f(f(proper(_x71), proper(_x72)), proper(_x52))), ok(b)))top#(mark(f(f(_x41, a), b))) → top#(f(f(proper(_x41), ok(a)), ok(b)))
top#(mark(f(f(f(_x51, _x52), f(_x51, _x52)), b))) → top#(f(f(f(proper(_x51), proper(_x52)), f(proper(_x51), proper(_x52))), ok(b)))top#(mark(f(_x21, f(_x51, _x52)))) → top#(f(proper(_x21), f(proper(_x51), proper(_x52))))
top#(mark(f(f(a, f(_x51, b)), b))) → top#(f(f(ok(a), f(proper(_x51), ok(b))), ok(b)))

Rewrite Rules

active(f(X, X)) → mark(f(a, b))active(b) → mark(a)
active(f(X1, X2)) → f(active(X1), X2)f(mark(X1), X2) → mark(f(X1, X2))
proper(f(X1, X2)) → f(proper(X1), proper(X2))proper(a) → ok(a)
proper(b) → ok(b)f(ok(X1), ok(X2)) → ok(f(X1, X2))
top(mark(X)) → top(proper(X))top(ok(X)) → top(active(X))

Original Signature

Termination of terms over the following signature is verified: f, b, a, active, ok, mark, proper, top

Strategy

The right-hand side of the rule top#(mark(f(b, f(_x51, _x52)))) → top#(f(ok(b), f(proper(_x51), proper(_x52)))) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
top#(f(ok(b), f(ok(a), proper(_x52)))) 
top#(f(ok(b), f(ok(b), proper(_x52)))) 
top#(f(ok(b), f(proper(_x51), ok(a)))) 
top#(f(ok(b), f(f(proper(_x61), proper(_x62)), proper(_x52)))) 
top#(f(ok(b), f(proper(_x51), f(proper(_x61), proper(_x62))))) 
top#(f(ok(b), f(proper(_x51), ok(b)))) 
Thus, the rule top#(mark(f(b, f(_x51, _x52)))) → top#(f(ok(b), f(proper(_x51), proper(_x52)))) is replaced by the following rules:
top#(mark(f(b, f(_x51, b)))) → top#(f(ok(b), f(proper(_x51), ok(b))))top#(mark(f(b, f(a, _x52)))) → top#(f(ok(b), f(ok(a), proper(_x52))))
top#(mark(f(b, f(f(_x61, _x62), _x52)))) → top#(f(ok(b), f(f(proper(_x61), proper(_x62)), proper(_x52))))top#(mark(f(b, f(_x51, f(_x61, _x62))))) → top#(f(ok(b), f(proper(_x51), f(proper(_x61), proper(_x62)))))
top#(mark(f(b, f(b, _x52)))) → top#(f(ok(b), f(ok(b), proper(_x52))))top#(mark(f(b, f(_x51, a)))) → top#(f(ok(b), f(proper(_x51), ok(a))))

Problem 25: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x121, a)))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x121), ok(a))))), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(a, a))) → top#(ok(f(a, a)))
top#(mark(f(f(f(f(f(a, f(_x81, f(a, _x112))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(a), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, _x112))), a), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), proper(_x112)))), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, _x112))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, a), a), a), a), b))) → top#(f(f(f(f(f(ok(a), ok(a)), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(_x41, b), b))) → top#(f(f(proper(_x41), ok(b)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, _x112))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(_x61, _x62), f(_x61, _x62)), a), b))) → top#(f(f(f(f(proper(_x61), proper(_x62)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(_x61, f(_x71, _x72)), _x52), a), b))) → top#(f(f(f(f(proper(_x61), f(proper(_x71), proper(_x72))), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(_x41, f(_x51, _x52)), b))) → top#(f(f(proper(_x41), f(proper(_x51), proper(_x52))), ok(b)))top#(mark(f(a, f(f(a, b), _x52)))) → top#(f(ok(a), f(f(ok(a), ok(b)), proper(_x52))))
top#(mark(f(f(f(f(f(a, _x72), _x62), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), proper(_x72)), proper(_x62)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(b, _x72), _x62), _x52), a), b))) → top#(f(f(f(f(f(ok(b), proper(_x72)), proper(_x62)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(b, b))) → top#(ok(f(b, b)))top#(mark(f(a, f(f(_x61, b), f(_x61, _x62))))) → top#(f(ok(a), f(f(proper(_x61), ok(b)), f(proper(_x61), proper(_x62)))))
top#(mark(f(f(f(b, _x52), a), b))) → top#(f(f(f(ok(b), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(a, _x52), a), b))) → top#(f(f(f(ok(a), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, a), a), b), a), b))) → top#(f(f(f(f(f(ok(a), ok(a)), ok(a)), ok(b)), ok(a)), ok(b)))top#(mark(f(f(a, f(a, f(a, _x82))), b))) → top#(f(f(ok(a), f(ok(a), f(ok(a), proper(_x82)))), ok(b)))
top#(mark(f(f(f(f(f(_x71, _x72), _x62), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(proper(_x71), proper(_x72)), proper(_x62)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(f(_x81, _x82), _x72), _x62), _x52), a), b))) → top#(f(f(f(f(f(f(proper(_x81), proper(_x82)), proper(_x72)), proper(_x62)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x121, _x122)))), a), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x121), proper(_x122))))), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))top#(mark(f(b, f(b, b)))) → top#(ok(f(b, f(b, b))))
top#(mark(f(a, f(f(_x61, b), b)))) → top#(f(ok(a), f(f(proper(_x61), ok(b)), ok(b))))top#(mark(f(b, f(a, _x52)))) → top#(f(ok(b), f(ok(a), proper(_x52))))
top#(mark(f(f(f(f(f(a, f(b, f(_x111, _x112))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(proper(_x111), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(a, f(f(_x61, _x62), a)))) → top#(f(ok(a), f(f(proper(_x61), proper(_x62)), ok(a))))
top#(mark(f(f(f(f(f(a, f(_x81, _x82)), _x62), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), proper(_x82))), proper(_x62)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, a)), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), ok(a))), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, _x112))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), proper(_x112)))), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x121, _x122)))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x121), proper(_x122))))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, _x82)), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), proper(_x82))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, _x82)), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), proper(_x82))), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(f(_x81, _x82), _x72), a), _x52), a), b))) → top#(f(f(f(f(f(f(proper(_x81), proper(_x82)), proper(_x72)), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(a, f(a, b)))) → top#(f(ok(a), f(ok(a), ok(b))))
top#(mark(f(f(f(f(_x61, _x62), _x52), _x42), b))) → top#(f(f(f(f(proper(_x61), proper(_x62)), proper(_x52)), proper(_x42)), ok(b)))top#(mark(f(f(a, f(a, f(f(_x91, a), _x82))), b))) → top#(f(f(ok(a), f(ok(a), f(f(proper(_x91), ok(a)), proper(_x82)))), ok(b)))
top#(mark(f(b, f(b, _x52)))) → top#(f(ok(b), f(ok(b), proper(_x52))))top#(mark(f(f(a, f(_x51, b)), b))) → top#(f(f(ok(a), f(proper(_x51), ok(b))), ok(b)))
top#(mark(f(f(f(f(f(a, _x72), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), proper(_x72)), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(b, _x72), a), _x52), a), b))) → top#(f(f(f(f(f(ok(b), proper(_x72)), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(_x71, a), a), _x52), a), b))) → top#(f(f(f(f(f(proper(_x71), ok(a)), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, _x122), f(_x121, _x122)))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), proper(_x122)), f(proper(_x121), proper(_x122))))), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x121, b)))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x121), ok(b))))), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, a))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), ok(a)))), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(b, f(_x121, _x122)))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(b), f(proper(_x121), proper(_x122))))), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), _x82)), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), proper(_x82))), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(_x71, _x72), a), b), a), b))) → top#(f(f(f(f(f(proper(_x71), proper(_x72)), ok(a)), ok(b)), ok(a)), ok(b)))top#(mark(f(a, f(b, a)))) → top#(f(ok(a), f(ok(b), ok(a))))
top#(mark(f(f(_x41, _x42), _x22))) → top#(f(f(proper(_x41), proper(_x42)), proper(_x22)))top#(ok(f(_x21, _x22))) → top#(f(active(_x21), _x22))
top#(mark(f(f(a, f(a, f(f(_x91, _x92), b))), b))) → top#(f(f(ok(a), f(ok(a), f(f(proper(_x91), proper(_x92)), ok(b)))), ok(b)))top#(mark(f(f(f(f(f(_x71, f(_x81, _x82)), _x62), _x52), a), b))) → top#(f(f(f(f(f(proper(_x71), f(proper(_x81), proper(_x82))), proper(_x62)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(_x51, f(_x61, _x62)), a), b))) → top#(f(f(f(proper(_x51), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))top#(mark(f(a, f(f(f(_x71, _x72), b), _x52)))) → top#(f(ok(a), f(f(f(proper(_x71), proper(_x72)), ok(b)), proper(_x52))))
top#(mark(f(f(a, f(a, f(f(b, _x92), _x82))), b))) → top#(f(f(ok(a), f(ok(a), f(f(ok(b), proper(_x92)), proper(_x82)))), ok(b)))top#(mark(f(a, f(f(b, _x62), _x52)))) → top#(f(ok(a), f(f(ok(b), proper(_x62)), proper(_x52))))
top#(mark(f(f(a, f(b, b)), b))) → top#(f(f(ok(a), f(ok(b), ok(b))), ok(b)))top#(mark(f(f(f(f(f(a, a), a), f(_x61, a)), a), b))) → top#(f(f(f(f(f(ok(a), ok(a)), ok(a)), f(proper(_x61), ok(a))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, a), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), ok(a)), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(a, f(f(b, b), f(_x61, _x62))))) → top#(f(ok(a), f(f(ok(b), ok(b)), f(proper(_x61), proper(_x62)))))
top#(mark(f(f(f(f(f(_x71, _x72), _x62), a), a), b))) → top#(f(f(f(f(f(proper(_x71), proper(_x72)), proper(_x62)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, _x72), a), b), a), b))) → top#(f(f(f(f(f(ok(a), proper(_x72)), ok(a)), ok(b)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, a), a), f(_x61, f(_x91, _x92))), a), b))) → top#(f(f(f(f(f(ok(a), ok(a)), ok(a)), f(proper(_x61), f(proper(_x91), proper(_x92)))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(_x71, _x72), f(_x71, _x72)), _x52), a), b))) → top#(f(f(f(f(f(proper(_x71), proper(_x72)), f(proper(_x71), proper(_x72))), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(a, f(f(_x61, f(_x71, _x72)), _x52)))) → top#(f(ok(a), f(f(proper(_x61), f(proper(_x71), proper(_x72))), proper(_x52))))top#(mark(f(f(f(f(_x61, b), a), a), b))) → top#(f(f(f(f(proper(_x61), ok(b)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(_x61, a), _x52), a), b))) → top#(f(f(f(f(proper(_x61), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, _x72), _x62), b), a), b))) → top#(f(f(f(f(f(ok(a), proper(_x72)), proper(_x62)), ok(b)), ok(a)), ok(b)))
top#(mark(f(a, f(f(b, b), a)))) → top#(f(ok(a), f(f(ok(b), ok(b)), ok(a))))top#(mark(f(f(a, f(a, f(_x81, a))), b))) → top#(f(f(ok(a), f(ok(a), f(proper(_x81), ok(a)))), ok(b)))
top#(mark(f(a, f(f(_x61, _x62), b)))) → top#(f(ok(a), f(f(proper(_x61), proper(_x62)), ok(b))))top#(mark(f(f(f(f(f(a, b), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), ok(b)), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(a, f(_x51, f(_x81, _x82))), b))) → top#(f(f(ok(a), f(proper(_x51), f(proper(_x81), proper(_x82)))), ok(b)))top#(mark(f(f(f(f(a, _x62), _x52), a), b))) → top#(f(f(f(f(ok(a), proper(_x62)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x121, f(_x151, _x152))))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x121), f(proper(_x151), proper(_x152)))))), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(_x71, a), _x62), _x52), a), b))) → top#(f(f(f(f(f(proper(_x71), ok(a)), proper(_x62)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(b, b))) → top#(f(ok(b), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x121, _x122)))), a), b), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x121), proper(_x122))))), ok(a)), ok(b)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, a), a), f(a, a)), a), b))) → top#(f(f(f(f(ok(f(a, a)), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(b, _x52), _x42), b))) → top#(f(f(f(ok(b), proper(_x52)), proper(_x42)), ok(b)))
top#(mark(f(f(_x41, _x42), a))) → top#(f(f(proper(_x41), proper(_x42)), ok(a)))top#(mark(f(f(f(_x51, b), _x42), b))) → top#(f(f(f(proper(_x51), ok(b)), proper(_x42)), ok(b)))
top#(mark(f(f(a, f(a, a)), b))) → top#(f(ok(f(a, f(a, a))), ok(b)))top#(mark(f(f(f(f(b, b), _x52), a), b))) → top#(f(f(f(f(ok(b), ok(b)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(a, _x112))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(a), proper(_x112)))), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, b))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), ok(b)))), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(a, f(f(_x61, _x62), f(_x61, _x62))))) → top#(f(ok(a), f(f(proper(_x61), proper(_x62)), f(proper(_x61), proper(_x62)))))top#(mark(f(f(_x41, a), b))) → top#(f(f(proper(_x41), ok(a)), ok(b)))
top#(mark(f(a, f(f(_x61, b), a)))) → top#(f(ok(a), f(f(proper(_x61), ok(b)), ok(a))))top#(mark(f(f(f(_x51, _x52), f(_x51, _x52)), b))) → top#(f(f(f(proper(_x51), proper(_x52)), f(proper(_x51), proper(_x52))), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, _x142)))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), proper(_x142))))), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(ok(f(_x21, _x21))) → top#(mark(f(a, b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(a, _x122)))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(ok(a), proper(_x122))))), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, _x112))), a), b), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), proper(_x112)))), ok(a)), ok(b)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, a))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), ok(a)))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(b, _x112))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(b), proper(_x112)))), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, _x112))), a), b), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), proper(_x112)))), ok(a)), ok(b)), ok(a)), ok(b)))top#(mark(f(f(a, f(b, f(_x81, _x82))), b))) → top#(f(f(ok(a), f(ok(b), f(proper(_x81), proper(_x82)))), ok(b)))
top#(mark(f(f(f(f(f(a, f(b, f(_x111, _x112))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(proper(_x111), proper(_x112)))), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(a, f(b, b)))) → top#(f(ok(a), f(ok(b), ok(b))))
top#(mark(f(a, f(_x51, a)))) → top#(f(ok(a), f(proper(_x51), ok(a))))top#(mark(f(f(f(f(f(a, a), a), f(b, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), ok(a)), ok(a)), f(ok(b), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(b, b), b), a), b))) → top#(f(f(f(f(ok(b), ok(b)), ok(b)), ok(a)), ok(b)))top#(mark(f(_x21, f(_x51, _x52)))) → top#(f(proper(_x21), f(proper(_x51), proper(_x52))))
top#(mark(f(a, f(f(a, _x62), _x52)))) → top#(f(ok(a), f(f(ok(a), proper(_x62)), proper(_x52))))top#(mark(f(f(a, f(a, f(f(f(_x101, _x102), _x92), _x82))), b))) → top#(f(f(ok(a), f(ok(a), f(f(f(proper(_x101), proper(_x102)), proper(_x92)), proper(_x82)))), ok(b)))
top#(mark(f(f(f(f(f(a, a), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), ok(a)), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(b, _x112))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), proper(_x112)))), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(_x71, _x72), a), a), a), b))) → top#(f(f(f(f(f(proper(_x71), proper(_x72)), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(_x51, b), a), b))) → top#(f(f(f(proper(_x51), ok(b)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(_x71, _x72), a), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(proper(_x71), proper(_x72)), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(_x71, _x72), _x62), b), a), b))) → top#(f(f(f(f(f(proper(_x71), proper(_x72)), proper(_x62)), ok(b)), ok(a)), ok(b)))
top#(mark(f(f(a, f(a, f(_x81, b))), b))) → top#(f(f(ok(a), f(ok(a), f(proper(_x81), ok(b)))), ok(b)))top#(mark(f(f(a, f(a, f(f(_x91, f(_x101, _x102)), _x82))), b))) → top#(f(f(ok(a), f(ok(a), f(f(proper(_x91), f(proper(_x101), proper(_x102))), proper(_x82)))), ok(b)))
top#(mark(f(f(f(_x51, f(_x61, _x62)), _x42), b))) → top#(f(f(f(proper(_x51), f(proper(_x61), proper(_x62))), proper(_x42)), ok(b)))top#(mark(f(f(b, _x42), b))) → top#(f(f(ok(b), proper(_x42)), ok(b)))
top#(mark(f(b, f(f(_x61, _x62), _x52)))) → top#(f(ok(b), f(f(proper(_x61), proper(_x62)), proper(_x52))))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, b))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), ok(b)))), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, b)), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), ok(b))), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, _x72), b), _x52), a), b))) → top#(f(f(f(f(f(ok(a), proper(_x72)), ok(b)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(a, f(b, f(_x61, _x62))))) → top#(f(ok(a), f(ok(b), f(proper(_x61), proper(_x62)))))top#(mark(f(f(f(f(f(a, f(_x81, _x82)), a), b), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), proper(_x82))), ok(a)), ok(b)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, _x72), a), a), a), b))) → top#(f(f(f(f(f(ok(a), proper(_x72)), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(a, f(a, a)))) → top#(f(ok(a), f(ok(a), ok(a))))
top#(mark(f(f(f(f(f(a, a), a), f(a, b)), a), b))) → top#(f(f(f(f(ok(f(a, a)), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(a, a), b))) → top#(f(f(ok(a), ok(a)), ok(b)))
top#(mark(f(b, f(_x51, f(_x61, _x62))))) → top#(f(ok(b), f(proper(_x51), f(proper(_x61), proper(_x62)))))top#(mark(b)) → top#(ok(b))
top#(mark(f(f(f(f(f(a, _x72), f(_x71, _x72)), _x52), a), b))) → top#(f(f(f(f(f(ok(a), proper(_x72)), f(proper(_x71), proper(_x72))), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, a), a), _x52), a), b))) → top#(f(f(f(f(ok(f(a, a)), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(_x61, _x62), b), a), b))) → top#(f(f(f(f(proper(_x61), proper(_x62)), ok(b)), ok(a)), ok(b)))top#(mark(f(f(a, f(a, f(f(a, _x92), _x82))), b))) → top#(f(f(ok(a), f(ok(a), f(f(ok(a), proper(_x92)), proper(_x82)))), ok(b)))
top#(mark(f(f(f(f(f(_x71, b), a), _x52), a), b))) → top#(f(f(f(f(f(proper(_x71), ok(b)), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, a), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), ok(a)), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(a, f(f(_x61, a), _x52)))) → top#(f(ok(a), f(f(proper(_x61), ok(a)), proper(_x52))))top#(mark(f(f(a, f(a, f(b, _x82))), b))) → top#(f(f(ok(a), f(ok(a), f(ok(b), proper(_x82)))), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, b))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), ok(b)))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, _x122), _x112))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), proper(_x122)), proper(_x112)))), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(a, f(a, f(f(_x91, _x92), f(_x91, _x92)))), b))) → top#(f(f(ok(a), f(ok(a), f(f(proper(_x91), proper(_x92)), f(proper(_x91), proper(_x92))))), ok(b)))top#(mark(f(f(f(f(a, b), b), a), b))) → top#(f(f(ok(f(f(a, b), b)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), _x112))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(b, a))) → top#(f(ok(b), ok(a)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, a))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), ok(a)))), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, _x72), _x62), a), a), b))) → top#(f(f(f(f(f(ok(a), proper(_x72)), proper(_x62)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(a, b), _x52), a), b))) → top#(f(f(f(f(ok(a), ok(b)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(a, b), b))) → top#(f(ok(f(a, b)), ok(b)))
top#(mark(f(a, f(a, f(_x61, _x62))))) → top#(f(ok(a), f(ok(a), f(proper(_x61), proper(_x62)))))top#(mark(f(f(f(f(f(_x71, f(_x81, _x82)), a), _x52), a), b))) → top#(f(f(f(f(f(proper(_x71), f(proper(_x81), proper(_x82))), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(a, f(_x121, _x122)))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(a), f(proper(_x121), proper(_x122))))), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(a, f(a, f(f(_x91, b), _x82))), b))) → top#(f(f(ok(a), f(ok(a), f(f(proper(_x91), ok(b)), proper(_x82)))), ok(b)))
top#(mark(f(f(f(_x51, _x52), b), b))) → top#(f(f(f(proper(_x51), proper(_x52)), ok(b)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(f(_x141, _x142), _x122)))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(f(proper(_x141), proper(_x142)), proper(_x122))))), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(a, _x52), _x42), b))) → top#(f(f(f(ok(a), proper(_x52)), proper(_x42)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(b, _x112))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(_x61, _x62), a), a), b))) → top#(f(f(f(f(proper(_x61), proper(_x62)), ok(a)), ok(a)), ok(b)))top#(mark(f(b, f(_x51, a)))) → top#(f(ok(b), f(proper(_x51), ok(a))))
top#(mark(f(a, f(_x51, b)))) → top#(f(ok(a), f(proper(_x51), ok(b))))top#(mark(f(f(f(f(f(a, f(a, f(_x111, _x112))), a), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), proper(_x112)))), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(a, f(f(b, b), b)))) → top#(f(ok(a), f(f(ok(b), ok(b)), ok(b))))top#(mark(f(f(a, f(b, a)), b))) → top#(f(f(ok(a), f(ok(b), ok(a))), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, _x142)))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), proper(_x142))))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(a, f(f(b, b), b)))) → top#(f(ok(a), f(ok(f(b, b)), proper(_x52))))
top#(mark(f(f(f(f(f(a, _x72), a), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), proper(_x72)), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(a, f(f(_x71, _x72), _x52)), b))) → top#(f(f(ok(a), f(f(proper(_x71), proper(_x72)), proper(_x52))), ok(b)))
top#(mark(f(a, f(f(f(_x71, _x72), _x62), _x52)))) → top#(f(ok(a), f(f(f(proper(_x71), proper(_x72)), proper(_x62)), proper(_x52))))top#(mark(f(b, f(f(_x61, _x62), b)))) → top#(f(ok(b), f(f(proper(_x61), proper(_x62)), ok(b))))
top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), _x112))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), proper(_x112)))), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, a), _x62), _x52), a), b))) → top#(f(f(f(f(f(ok(a), ok(a)), proper(_x62)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(_x71, _x72), b), b), a), b))) → top#(f(f(f(f(f(proper(_x71), proper(_x72)), ok(b)), ok(b)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, b), _x62), _x52), a), b))) → top#(f(f(f(f(f(ok(a), ok(b)), proper(_x62)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(a, f(a, f(f(_x91, _x92), a))), b))) → top#(f(f(ok(a), f(ok(a), f(f(proper(_x91), proper(_x92)), ok(a)))), ok(b)))top#(mark(f(f(a, f(a, b)), b))) → top#(f(f(ok(a), f(ok(a), ok(b))), ok(b)))
top#(mark(f(f(a, f(a, f(_x81, f(_x91, _x92)))), b))) → top#(f(f(ok(a), f(ok(a), f(proper(_x81), f(proper(_x91), proper(_x92))))), ok(b)))top#(mark(f(f(f(f(f(a, f(b, _x82)), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), proper(_x82))), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, a), a), f(f(_x81, _x82), _x62)), a), b))) → top#(f(f(f(f(f(ok(a), ok(a)), ok(a)), f(f(proper(_x81), proper(_x82)), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(b, _x122)))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(ok(b), proper(_x122))))), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(a, f(a, a)), b))) → top#(f(f(ok(a), f(ok(a), ok(a))), ok(b)))top#(mark(f(f(f(f(f(_x71, _x72), b), _x52), a), b))) → top#(f(f(f(f(f(proper(_x71), proper(_x72)), ok(b)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(a, _x112))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(a), proper(_x112)))), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, a), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), ok(a)), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(_x61, b), f(_x61, _x62)), a), b))) → top#(f(f(f(f(proper(_x61), ok(b)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, _x82)), a), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), proper(_x82))), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(a, f(_x51, f(_x61, _x62))))) → top#(f(ok(a), f(proper(_x51), f(proper(_x61), proper(_x62)))))top#(mark(f(f(f(f(b, _x62), _x52), a), b))) → top#(f(f(f(f(ok(b), proper(_x62)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(_x71, b), _x62), _x52), a), b))) → top#(f(f(f(f(f(proper(_x71), ok(b)), proper(_x62)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(b, f(a, b)))) → top#(f(ok(b), f(ok(a), ok(b))))
top#(mark(f(f(f(_x51, a), _x42), b))) → top#(f(f(f(proper(_x51), ok(a)), proper(_x42)), ok(b)))top#(mark(f(f(a, f(f(_x71, _x72), a)), b))) → top#(f(f(ok(a), f(f(proper(_x71), proper(_x72)), ok(a))), ok(b)))
top#(ok(b)) → top#(mark(a))top#(mark(f(a, b))) → top#(f(ok(a), ok(b)))
top#(mark(f(f(f(_x51, a), a), b))) → top#(f(f(f(proper(_x51), ok(a)), ok(a)), ok(b)))

Rewrite Rules

active(f(X, X)) → mark(f(a, b))active(b) → mark(a)
active(f(X1, X2)) → f(active(X1), X2)f(mark(X1), X2) → mark(f(X1, X2))
proper(f(X1, X2)) → f(proper(X1), proper(X2))proper(a) → ok(a)
proper(b) → ok(b)f(ok(X1), ok(X2)) → ok(f(X1, X2))
top(mark(X)) → top(proper(X))top(ok(X)) → top(active(X))

Original Signature

Termination of terms over the following signature is verified: f, b, a, active, mark, ok, proper, top

Strategy

The right-hand side of the rule top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x121, a)))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x121), ok(a))))), ok(a)), proper(_x52)), ok(a)), ok(b))) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(ok(a), ok(a))))), ok(a)), proper(_x52)), ok(a)), ok(b))) 
top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(b), f(proper(_x121), ok(a))))), ok(a)), proper(_x52)), ok(a)), ok(b))) 
top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), proper(_x122)), f(proper(_x121), ok(a))))), ok(a)), proper(_x52)), ok(a)), ok(b))) 
top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x121), ok(a))))), ok(a)), ok(a)), ok(a)), ok(b))) 
top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(f(proper(_x141), proper(_x142)), ok(a))))), ok(a)), proper(_x52)), ok(a)), ok(b))) 
top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(a), f(proper(_x121), ok(a))))), ok(a)), proper(_x52)), ok(a)), ok(b))) 
top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x121), ok(a))))), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b))) 
top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x121), ok(a))))), ok(a)), ok(b)), ok(a)), ok(b))) 
top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(ok(b), ok(a))))), ok(a)), proper(_x52)), ok(a)), ok(b))) 
Thus, the rule top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x121, a)))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x121), ok(a))))), ok(a)), proper(_x52)), ok(a)), ok(b))) is replaced by the following rules:
top#(mark(f(f(f(f(f(a, f(a, f(b, f(_x121, a)))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(b), f(proper(_x121), ok(a))))), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(a, f(_x121, a)))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(a), f(proper(_x121), ok(a))))), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x121, a)))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x121), ok(a))))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(b, a)))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(ok(b), ok(a))))), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, _x122), f(_x121, a)))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), proper(_x122)), f(proper(_x121), ok(a))))), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(a, a)))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(ok(a), ok(a))))), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x121, a)))), a), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x121), ok(a))))), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x121, a)))), a), b), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x121), ok(a))))), ok(a)), ok(b)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(f(_x141, _x142), a)))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(f(proper(_x141), proper(_x142)), ok(a))))), ok(a)), proper(_x52)), ok(a)), ok(b)))

Problem 26: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(a, f(_x171, a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(ok(a), f(proper(_x171), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(_x141, f(f(_x191, f(b, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(_x161, _x162), f(f(_x191, _x192), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), proper(_x192)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(f(a, b), b))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(ok(a), ok(b)), ok(b)))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, _x222)), b))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), proper(_x222))), ok(b)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(f(_x81, _x82), _x72), _x62), _x52), a), b))) → top#(f(f(f(f(f(f(proper(_x81), proper(_x82)), proper(_x72)), proper(_x62)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(a, _x142)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(ok(a), proper(_x142))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x121, _x122)))), a), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x121), proper(_x122))))), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(a, f(_x141, f(_x151, _x152))))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(a), f(proper(_x141), f(proper(_x151), proper(_x152)))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(a, f(f(_x61, b), b)))) → top#(f(ok(a), f(f(proper(_x61), ok(b)), ok(b))))top#(mark(f(b, f(b, b)))) → top#(ok(f(b, f(b, b))))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(_x111, f(f(_x161, _x162), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(f(f(_x131, _x132), _x122), _x112))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(f(proper(_x131), proper(_x132)), proper(_x122)), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(b, f(a, _x52)))) → top#(f(ok(b), f(ok(a), proper(_x52))))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x121, _x122)))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x121), proper(_x122))))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(_x161, _x162), _x142)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(proper(_x161), proper(_x162)), proper(_x142))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(b, f(b, _x52)))) → top#(f(ok(b), f(ok(b), proper(_x52))))top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(a, f(b, _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(ok(a), f(ok(b), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(b, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(ok(b), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(a, f(_x131, _x132)), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), f(proper(_x131), proper(_x132))), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(_x71, a), a), _x52), a), b))) → top#(f(f(f(f(f(proper(_x71), ok(a)), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(f(a, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(f(ok(a), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(b, f(f(_x191, f(_x221, _x222)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(ok(b), f(f(proper(_x191), f(proper(_x221), proper(_x222))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, _x122), f(_x121, _x122)))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), proper(_x122)), f(proper(_x121), proper(_x122))))), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(_x171, _x172))))), a), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(a, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(ok(a), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(f(_x121, _x122), _x112))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(f(proper(_x121), proper(_x122)), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), _x82)), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), proper(_x82))), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(a, f(_x141, f(f(_x191, f(_x221, b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(ok(a), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(f(a, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(ok(a), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(a, f(b, a)))) → top#(f(ok(a), f(ok(b), ok(a))))
top#(ok(f(_x21, _x22))) → top#(f(active(_x21), _x22))top#(mark(f(f(f(f(f(a, f(f(f(_x111, _x112), a), f(_x111, _x112))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x111), proper(_x112)), ok(a)), f(proper(_x111), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(_x51, f(_x61, _x62)), a), b))) → top#(f(f(f(proper(_x51), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, _x122), f(b, a)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), proper(_x122)), f(ok(b), ok(a))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, f(_x151, _x152))))), a), f(a, f(_x91, _x92))), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), f(proper(_x151), proper(_x152)))))), ok(a)), f(ok(a), f(proper(_x91), proper(_x92)))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(b, _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(ok(b), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(a, _x142)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(ok(a), proper(_x142))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(a, f(a, f(f(b, _x92), _x82))), b))) → top#(f(f(ok(a), f(ok(a), f(f(ok(b), proper(_x92)), proper(_x82)))), ok(b)))
top#(mark(f(a, f(f(b, _x62), _x52)))) → top#(f(ok(a), f(f(ok(b), proper(_x62)), proper(_x52))))top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), f(_x141, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(f(_x211, _x212), f(_x221, b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(f(proper(_x211), proper(_x212)), f(proper(_x221), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x241, a), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), ok(a)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(a, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(ok(a), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, _x112))), a), f(f(_x81, _x82), _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), proper(_x112)))), ok(a)), f(f(proper(_x81), proper(_x82)), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, a))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), ok(a)))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(f(_x201, _x202), f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(f(proper(_x201), proper(_x202)), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(b, f(_x141, f(f(_x191, f(b, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(ok(b), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(a, f(_x141, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(ok(a), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(f(_x111, _x112), _x102), f(_x111, f(_x141, f(_x171, _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x111), proper(_x112)), proper(_x102)), f(proper(_x111), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(a, _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(ok(a), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, _x72), a), b), a), b))) → top#(f(f(f(f(f(ok(a), proper(_x72)), ok(a)), ok(b)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, a), f(_x141, _x142)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), ok(a)), f(proper(_x141), proper(_x142))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(a, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(ok(a), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(a, f(f(_x61, f(_x71, _x72)), _x52)))) → top#(f(ok(a), f(f(proper(_x61), f(proper(_x71), proper(_x72))), proper(_x52))))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(a, f(f(_x161, _x162), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(ok(a), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(a, _x62), _x52), a), b))) → top#(f(f(f(f(ok(a), proper(_x62)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(f(_x211, _x212), f(f(_x241, _x242), b)), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(f(proper(_x211), proper(_x212)), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, f(_x171, _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(f(b, _x242), b)), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(ok(b), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(a, _x112))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(a), proper(_x112)))), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(b, f(f(a, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(ok(b), f(f(ok(a), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(b, _x222)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(a, f(f(_x61, _x62), f(_x61, _x62))))) → top#(f(ok(a), f(f(proper(_x61), proper(_x62)), f(proper(_x61), proper(_x62)))))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, _x112))), a), f(b, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), proper(_x112)))), ok(a)), f(ok(b), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(_x111, f(b, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(proper(_x111), f(ok(b), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(_x171, b))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(proper(_x171), ok(b)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), f(_x141, b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), f(proper(_x141), ok(b))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, _x142)))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), proper(_x142))))), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x241, b), b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), ok(b)), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(ok(f(_x21, _x21))) → top#(mark(f(a, b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, f(b, a))))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), f(ok(b), ok(a)))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(_x161, _x162), f(f(_x191, f(f(_x241, a), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), ok(a)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(_x161, _x162), f(f(b, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(ok(b), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(a, _x122)))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(ok(a), proper(_x122))))), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, _x142)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), proper(_x142))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(a, b), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), ok(b)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(b, f(_x111, f(f(b, _x132), b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(proper(_x111), f(f(ok(b), proper(_x132)), ok(b))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, a))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), ok(a)))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(f(a, _x242), b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(ok(a), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(b, f(a, f(f(_x131, a), b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(ok(a), f(f(proper(_x131), ok(a)), ok(b))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, b)))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), ok(b))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(a, _x142)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(ok(a), proper(_x142))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(f(a, b), b))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(f(a, b)), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(b, _x112))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(ok(b), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(a, f(b, f(_x81, _x82))), b))) → top#(f(f(ok(a), f(ok(b), f(proper(_x81), proper(_x82)))), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), f(a, b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), f(ok(a), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(f(a, b), f(a, _x122)))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(ok(a), ok(b)), f(ok(a), proper(_x122))))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), f(_x141, _x142)))), a), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), f(proper(_x141), proper(_x142))))), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(_x171, b))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(proper(_x171), ok(b)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(b, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(ok(b), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(f(_x161, _x162), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(_x111, f(_x141, f(f(_x191, f(a, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(a), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(b, b), b), a), b))) → top#(f(f(f(f(ok(b), ok(b)), ok(b)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(b, f(f(b, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(ok(b), f(f(ok(b), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, a)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), ok(a))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(b, f(_x221, _x222)), b))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(ok(b), f(proper(_x221), proper(_x222))), ok(b)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(a, f(f(a, b), f(b, _x62))))) → top#(f(ok(a), f(f(ok(a), ok(b)), f(ok(b), proper(_x62)))))
top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), _x102), f(_x111, f(_x141, f(f(b, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(ok(b), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(a, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(ok(a), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(_x141, f(_x171, _x172))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(b, f(a, f(_x141, b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(ok(a), f(proper(_x141), ok(b))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, b), f(_x121, _x122)))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), ok(b)), f(proper(_x121), proper(_x122))))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(b, f(b, f(f(_x131, _x132), b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(ok(b), f(f(proper(_x131), proper(_x132)), ok(b))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(b, f(_x141, f(_x151, a))))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(b), f(proper(_x141), f(proper(_x151), ok(a)))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(f(a, b), f(_x121, a)))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(ok(a), ok(b)), f(proper(_x121), ok(a))))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(a, f(a, f(_x81, b))), b))) → top#(f(f(ok(a), f(ok(a), f(proper(_x81), ok(b)))), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, a))), a), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), ok(a)))), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(_x171, f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(proper(_x171), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(b, _x42), b))) → top#(f(f(ok(b), proper(_x42)), ok(b)))top#(mark(f(b, f(f(_x61, _x62), _x52)))) → top#(f(ok(b), f(f(proper(_x61), proper(_x62)), proper(_x52))))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(f(_x201, _x202), f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(f(proper(_x201), proper(_x202)), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(a, f(f(a, b), f(_x61, b))))) → top#(f(ok(a), f(f(ok(a), ok(b)), f(proper(_x61), ok(b)))))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(f(_x131, _x132), f(_x141, f(f(_x191, f(_x221, b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(f(_x131, _x132), f(_x171, _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(f(proper(_x131), proper(_x132)), f(proper(_x171), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x151, _x152), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x151), proper(_x152)), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(a, f(a, a)))) → top#(f(ok(a), f(ok(a), ok(a))))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(b, f(f(_x191, f(_x221, _x222)), f(_x181, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(ok(b), f(f(proper(_x191), f(proper(_x221), proper(_x222))), f(proper(_x181), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(a, a), b))) → top#(f(f(ok(a), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, f(_x151, a))))), a), f(a, a)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), f(proper(_x151), ok(a)))))), ok(a)), f(ok(a), ok(a))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, a), a))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), ok(a)), ok(a)))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(_x161, _x162), f(f(_x191, f(f(_x241, b), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), ok(b)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(_x141, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(_x111, f(a, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(proper(_x111), f(ok(a), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, a), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), ok(a)), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(f(_x191, a), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), ok(a)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(a, f(f(_x61, a), _x52)))) → top#(f(ok(a), f(f(proper(_x61), ok(a)), proper(_x52))))top#(mark(f(f(f(f(a, b), b), a), b))) → top#(f(f(ok(f(f(a, b), b)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), b))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(b)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(b, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(ok(b), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(a, f(f(_x241, _x242), b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(ok(a), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(a, b), _x52), a), b))) → top#(f(f(f(f(ok(a), ok(b)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(b, _x142)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(ok(b), proper(_x142))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(b, f(_x221, _x222)), _x172))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(ok(b), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(a, f(_x121, _x122)))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(a), f(proper(_x121), proper(_x122))))), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(b, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(ok(b), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(_x171, _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), ok(f(a, b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(b, _x112))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, b)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), ok(b))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, _x72), a), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), proper(_x72)), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x111, _x112)), f(_x111, _x112))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x111), proper(_x112))), f(proper(_x111), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(f(_x191, _x192), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), proper(_x192)), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, b))), a), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), ok(b)))), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(_x71, _x72), b), b), a), b))) → top#(f(f(f(f(f(proper(_x71), proper(_x72)), ok(b)), ok(b)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(b, f(f(_x121, _x122), f(f(_x131, _x132), b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(f(proper(_x121), proper(_x122)), f(f(proper(_x131), proper(_x132)), ok(b))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(_x161, _x162), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(a, a)))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(ok(a), ok(a))))), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, f(_x171, _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(a, f(a, f(f(_x91, _x92), a))), b))) → top#(f(f(ok(a), f(ok(a), f(f(proper(_x91), proper(_x92)), ok(a)))), ok(b)))
top#(mark(f(f(a, f(a, f(_x81, f(_x91, _x92)))), b))) → top#(f(f(ok(a), f(ok(a), f(proper(_x81), f(proper(_x91), proper(_x92))))), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, f(_x151, a))))), a), f(a, f(_x91, _x92))), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), f(proper(_x151), ok(a)))))), ok(a)), f(ok(a), f(proper(_x91), proper(_x92)))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(_x161, _x162), f(f(f(_x181, _x182), f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(f(proper(_x181), proper(_x182)), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(b, _x122)))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(ok(b), proper(_x122))))), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(_x71, _x72), b), _x52), a), b))) → top#(f(f(f(f(f(proper(_x71), proper(_x72)), ok(b)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(b, f(_x141, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(ok(b), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(_x171, _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), ok(f(a, b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(_x141, f(f(_x161, _x162), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(proper(_x141), f(f(proper(_x161), proper(_x162)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(a, b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(ok(a), ok(b))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(_x61, b), f(_x61, _x62)), a), b))) → top#(f(f(f(f(proper(_x61), ok(b)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(b, f(_x111, f(f(_x131, _x132), b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(proper(_x111), f(f(proper(_x131), proper(_x132)), ok(b))))), ok(a)), ok(f(b, b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, f(a, _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), f(ok(a), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, _x122), f(_x141, f(_x151, a))))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), proper(_x122)), f(proper(_x141), f(proper(_x151), ok(a)))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, _x112))), a), f(_x61, a)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), proper(_x112)))), ok(a)), f(proper(_x61), ok(a))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(b, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(ok(b), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x241, f(_x231, _x232)), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), f(proper(_x231), proper(_x232))), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(f(_x211, _x212), _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(f(proper(_x211), proper(_x212)), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(b, f(a, f(_x171, _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(ok(b), f(ok(a), f(proper(_x171), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x241, a), b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), ok(a)), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(b, _x142)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(ok(b), proper(_x142))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(a, f(f(_x71, _x72), a)), b))) → top#(f(f(ok(a), f(f(proper(_x71), proper(_x72)), ok(a))), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(_x141, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x211, _x212), b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x211), proper(_x212)), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, f(_x151, a))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), f(proper(_x151), ok(a)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(_x111, f(_x141, f(f(f(_x201, _x202), f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(f(proper(_x201), proper(_x202)), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(f(_x131, _x132), f(_x141, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, _x222)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), proper(_x222))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(a, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(ok(a), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), f(b, b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), f(ok(b), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(b, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(ok(b), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(a, f(_x171, _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(ok(a), f(proper(_x171), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(f(b, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(ok(b), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, f(_x171, _x172))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(_x61, f(_x71, _x72)), _x52), a), b))) → top#(f(f(f(f(proper(_x61), f(proper(_x71), proper(_x72))), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(b, f(_x111, f(b, b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(proper(_x111), f(ok(b), ok(b))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(f(_x121, _x122), f(_x141, f(_x171, _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(f(proper(_x121), proper(_x122)), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), ok(b))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(b, f(_x111, f(_x141, b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(proper(_x111), f(proper(_x141), ok(b))))), ok(a)), ok(f(b, b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, f(_x211, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), f(proper(_x211), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(a, f(_x141, _x142)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(a), f(proper(_x141), proper(_x142))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(f(a, b), f(b, _x122)))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(ok(a), ok(b)), f(ok(b), proper(_x122))))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, f(f(_x151, _x152), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), f(f(proper(_x151), proper(_x152)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(a, f(_x121, a)))), a), b), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(a), f(proper(_x121), ok(a))))), ok(a)), ok(b)), ok(a)), ok(b)))top#(mark(f(f(f(b, _x52), a), b))) → top#(f(f(f(ok(b), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(a, _x52), a), b))) → top#(f(f(f(ok(a), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(_x161, _x162), f(f(_x191, f(f(_x241, _x242), b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(_x141, b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(proper(_x141), ok(b))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(_x161, _x162), b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(proper(_x161), proper(_x162)), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(b, f(_x141, _x142)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(b), f(proper(_x141), proper(_x142))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(a, f(f(a, b), f(_x61, _x62))))) → top#(f(ok(a), f(ok(f(a, b)), f(proper(_x61), proper(_x62)))))top#(mark(f(a, f(f(a, b), f(_x61, f(_x91, _x92)))))) → top#(f(ok(a), f(f(ok(a), ok(b)), f(proper(_x61), f(proper(_x91), proper(_x92))))))
top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, _x122), f(_x141, _x142)))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), proper(_x122)), f(proper(_x141), proper(_x142))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(f(_x131, _x132), f(_x141, b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(proper(_x141), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(_x141, f(a, _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(proper(_x141), f(ok(a), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(b, f(b, f(_x141, f(_x171, _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(ok(b), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(f(_x81, _x82), _x72), a), _x52), a), b))) → top#(f(f(f(f(f(f(proper(_x81), proper(_x82)), proper(_x72)), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(a, f(a, b)))) → top#(f(ok(a), f(ok(a), ok(b))))
top#(mark(f(f(f(f(f(a, f(a, f(f(a, _x122), a))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(ok(a), proper(_x122)), ok(a)))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(f(f(_x221, _x222), _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(f(proper(_x221), proper(_x222)), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(a, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(ok(a), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(a, f(_x51, b)), b))) → top#(f(f(ok(a), f(proper(_x51), ok(b))), ok(b)))
top#(mark(f(f(f(f(f(a, _x72), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), proper(_x72)), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(b, f(_x251, _x252))), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), f(proper(_x251), proper(_x252)))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(f(_x211, _x212), f(b, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(f(proper(_x211), proper(_x212)), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(b, _x72), a), _x52), a), b))) → top#(f(f(f(f(f(ok(b), proper(_x72)), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(f(f(_x131, _x132), _x122), f(_x141, _x142)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(f(proper(_x131), proper(_x132)), proper(_x122)), f(proper(_x141), proper(_x142))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, b), b))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), ok(b)), ok(b)))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, a))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), ok(a)))), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(f(a, _x192), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(f(ok(a), proper(_x192)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(b, b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(ok(b), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(b, f(f(_x131, _x132), f(_x141, b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(f(proper(_x131), proper(_x132)), f(proper(_x141), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(a, f(a, f(f(_x91, _x92), b))), b))) → top#(f(f(ok(a), f(ok(a), f(f(proper(_x91), proper(_x92)), ok(b)))), ok(b)))
top#(mark(f(f(f(f(f(_x71, f(_x81, _x82)), _x62), _x52), a), b))) → top#(f(f(f(f(f(proper(_x71), f(proper(_x81), proper(_x82))), proper(_x62)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, _x142)))), a), f(_x61, f(_x91, _x92))), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), proper(_x142))))), ok(a)), f(proper(_x61), f(proper(_x91), proper(_x92)))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(f(_x191, b), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), ok(b)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(f(_x131, _x132), f(_x151, _x152))))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(f(proper(_x131), proper(_x132)), f(proper(_x151), proper(_x152)))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(_x161, _x162), f(f(_x191, f(f(_x241, _x242), b)), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, f(_x251, _x252))), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), f(proper(_x251), proper(_x252)))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(a, f(f(a, b), f(_x61, a))))) → top#(f(ok(a), f(f(ok(a), ok(b)), f(proper(_x61), ok(a)))))top#(mark(f(f(a, f(b, b)), b))) → top#(f(f(ok(a), f(ok(b), ok(b))), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(_x111, f(b, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(proper(_x111), f(ok(b), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(a, f(_x141, b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(a), f(proper(_x141), ok(b))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(_x141, f(_x171, _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, a), f(_x111, _x112))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), ok(a)), f(proper(_x111), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(a, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(ok(a), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(f(_x191, f(_x221, f(_x251, _x252))), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), f(proper(_x251), proper(_x252)))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(b, f(_x221, _x222)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(ok(b), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(f(f(_x251, _x252), _x242), b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(f(proper(_x251), proper(_x252)), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(_x61, b), a), a), b))) → top#(f(f(f(f(proper(_x61), ok(b)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, _x122), f(b, _x142)))), a), f(a, f(_x91, _x92))), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), proper(_x122)), f(ok(b), proper(_x142))))), ok(a)), f(ok(a), f(proper(_x91), proper(_x92)))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, _x72), _x62), b), a), b))) → top#(f(f(f(f(f(ok(a), proper(_x72)), proper(_x62)), ok(b)), ok(a)), ok(b)))
top#(mark(f(a, f(f(b, b), a)))) → top#(f(ok(a), f(f(ok(b), ok(b)), ok(a))))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))
top#(mark(f(a, f(f(_x61, _x62), b)))) → top#(f(ok(a), f(f(proper(_x61), proper(_x62)), ok(b))))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(f(f(_x211, _x212), f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(f(f(proper(_x211), proper(_x212)), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(b, _x112))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(ok(b), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(_x161, _x162), f(f(_x191, f(f(b, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(f(ok(b), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(f(_x191, f(_x221, _x222)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), proper(_x222))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, _x122), f(_x121, a)))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), proper(_x122)), f(proper(_x121), ok(a))))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(_x161, _x162), f(f(_x191, f(f(_x241, f(_x221, _x222)), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), f(proper(_x221), proper(_x222))), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(b, _x142)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(ok(b), proper(_x142))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, _x142)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), proper(_x142))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(b, b), _x52), a), b))) → top#(f(f(f(f(ok(b), ok(b)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(_x41, a), b))) → top#(f(f(proper(_x41), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(_x141, f(_x171, a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(proper(_x141), f(proper(_x171), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(b, a)))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(ok(b), ok(a))))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x241, b), b)), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), ok(b)), ok(b))), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(a, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(ok(a), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(b, _x222)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, b), a))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), ok(b)), ok(a)))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(a, f(f(_x191, f(f(_x241, _x242), b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(ok(a), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(_x171, f(_x161, _x162)))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(proper(_x171), f(proper(_x161), proper(_x162))))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(f(_x131, _x132), f(_x141, f(f(_x191, f(b, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(a, f(_x171, _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(ok(a), f(proper(_x171), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(b, f(_x111, f(_x141, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, _x122), f(_x141, _x142)))), a), f(a, a)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), proper(_x122)), f(proper(_x141), proper(_x142))))), ok(a)), f(ok(a), ok(a))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(f(_x131, _x132), f(_x141, f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, _x112))), a), b), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), proper(_x112)))), ok(a)), ok(b)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, _x192), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), proper(_x192)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(b, _x112))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(b), proper(_x112)))), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), f(_x141, f(_x171, _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(f(a, _x132), f(_x141, b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(ok(a), proper(_x132)), f(proper(_x141), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(b, f(_x141, f(_x171, _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(ok(b), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, _x112))), a), b), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), proper(_x112)))), ok(a)), ok(b)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, a), f(b, _x142)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), ok(a)), f(ok(b), proper(_x142))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(b, f(_x111, _x112))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(proper(_x111), proper(_x112)))), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(b, b), b))) → top#(f(f(ok(b), ok(b)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(_x161, _x162), f(_x171, _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(proper(_x171), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, f(f(_x161, _x162), a))))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), f(f(proper(_x161), proper(_x162)), ok(a)))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(_x111, f(f(_x161, _x162), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, _x122), f(_x141, _x142)))), a), f(a, f(_x91, _x92))), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), proper(_x122)), f(proper(_x141), proper(_x142))))), ok(a)), f(ok(a), f(proper(_x91), proper(_x92)))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, f(_x151, b))))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), f(proper(_x151), ok(b)))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, a), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), ok(a)), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, b)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), ok(b))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(_x111, f(_x121, _x122)))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(proper(_x111), f(proper(_x121), proper(_x122))))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(a, f(_x171, _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(ok(a), f(proper(_x171), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(_x71, _x72), a), a), a), b))) → top#(f(f(f(f(f(proper(_x71), proper(_x72)), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(a, a)))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(ok(a), ok(a))))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(_x71, _x72), _x62), b), a), b))) → top#(f(f(f(f(f(proper(_x71), proper(_x72)), proper(_x62)), ok(b)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(_x141, f(_x171, _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(f(_x131, _x132), f(_x151, a))))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(f(proper(_x131), proper(_x132)), f(proper(_x151), ok(a)))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(f(_x131, _x132), f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), f(_x141, f(f(_x191, _x192), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), f(proper(_x141), f(f(proper(_x191), proper(_x192)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, f(_x131, _x132)), f(_x141, _x142)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), f(proper(_x131), proper(_x132))), f(proper(_x141), proper(_x142))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(_x161, _x162), f(f(_x191, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(a, f(a, f(f(_x91, f(_x101, _x102)), _x82))), b))) → top#(f(f(ok(a), f(ok(a), f(f(proper(_x91), f(proper(_x101), proper(_x102))), proper(_x82)))), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(_x141, f(f(_x191, _x192), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(proper(_x141), f(f(proper(_x191), proper(_x192)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(b, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, _x72), b), _x52), a), b))) → top#(f(f(f(f(f(ok(a), proper(_x72)), ok(b)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(a, f(b, f(_x61, _x62))))) → top#(f(ok(a), f(ok(b), f(proper(_x61), proper(_x62)))))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(b, f(_x221, b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(ok(b), f(proper(_x221), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(a, f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(ok(a), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(b, f(_x51, f(_x61, _x62))))) → top#(f(ok(b), f(proper(_x51), f(proper(_x61), proper(_x62)))))top#(mark(f(f(f(f(f(a, f(a, f(_x111, a))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), ok(a)))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(_x111, f(_x141, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(_x161, _x162), f(f(b, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(ok(b), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(_x111, f(f(_x161, _x162), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), f(_x141, f(_x171, _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(_x71, b), a), _x52), a), b))) → top#(f(f(f(f(f(proper(_x71), ok(b)), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(_x161, _x162), f(f(a, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(ok(a), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), f(_x201, _x202)))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(b, f(_x151, _x152))))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(ok(b), f(proper(_x151), proper(_x152)))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, _x122), f(b, f(_x151, _x152))))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), proper(_x122)), f(ok(b), f(proper(_x151), proper(_x152)))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, _x122), f(_x141, a)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), proper(_x122)), f(proper(_x141), ok(a))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(b, _x142)))), a), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(ok(b), proper(_x142))))), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(f(_x131, _x132), f(_x141, f(f(_x191, f(f(_x241, _x242), b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(a, b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(a), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, _x142)))), a), f(f(_x81, _x82), _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), proper(_x142))))), ok(a)), f(f(proper(_x81), proper(_x82)), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(b, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(ok(b), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(f(f(_x131, _x132), _x122), f(b, _x142)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(f(proper(_x131), proper(_x132)), proper(_x122)), f(ok(b), proper(_x142))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(a, f(a, f(f(_x91, _x92), f(_x91, _x92)))), b))) → top#(f(f(ok(a), f(ok(a), f(f(proper(_x91), proper(_x92)), f(proper(_x91), proper(_x92))))), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(b, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(ok(b), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(_x171, a))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(proper(_x171), ok(a)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, b)))), a), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), ok(b))))), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(b, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(ok(b), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), _x112))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(b, _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(ok(b), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(b, f(a, f(f(_x131, f(_x161, _x162)), b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(ok(a), f(f(proper(_x131), f(proper(_x161), proper(_x162))), ok(b))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(a, _x142)))), a), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(ok(a), proper(_x142))))), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(f(_x151, _x152), f(_x171, _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(f(proper(_x151), proper(_x152)), f(proper(_x171), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, a))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), ok(a)))), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, _x72), _x62), a), a), b))) → top#(f(f(f(f(f(ok(a), proper(_x72)), proper(_x62)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(b, _x222)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(f(b, _x132), f(_x141, b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(ok(b), proper(_x132)), f(proper(_x141), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(b, f(f(_x191, f(_x221, _x222)), b))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(ok(b), f(f(proper(_x191), f(proper(_x221), proper(_x222))), ok(b)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(a, f(a, f(f(_x91, b), _x82))), b))) → top#(f(f(ok(a), f(ok(a), f(f(proper(_x91), ok(b)), proper(_x82)))), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(f(_x141, _x142), _x122)))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(f(proper(_x141), proper(_x142)), proper(_x122))))), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(a, _x52), _x42), b))) → top#(f(f(f(ok(a), proper(_x52)), proper(_x42)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, f(_x131, _x132)), a))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), f(proper(_x131), proper(_x132))), ok(a)))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(a, f(_x171, b))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(ok(a), f(proper(_x171), ok(b)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(f(a, b), f(_x121, _x122)))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(f(a, b)), f(proper(_x121), proper(_x122))))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x241, a), b)), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), ok(a)), ok(b))), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(b, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(ok(b), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, _x142)))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), proper(_x142))))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(a, f(b, a)), b))) → top#(f(f(ok(a), f(ok(b), ok(a))), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(b, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(ok(b), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(a, f(f(_x71, _x72), _x52)), b))) → top#(f(f(ok(a), f(f(proper(_x71), proper(_x72)), proper(_x52))), ok(b)))
top#(mark(f(a, f(f(f(_x71, _x72), _x62), _x52)))) → top#(f(ok(a), f(f(f(proper(_x71), proper(_x72)), proper(_x62)), proper(_x52))))top#(mark(f(a, f(f(a, b), b)))) → top#(f(ok(a), f(f(ok(a), ok(b)), ok(b))))
top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), _x112))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), proper(_x112)))), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(a, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(ok(a), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(a, a))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(a), ok(a)))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, _x142)))), a), f(b, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), proper(_x142))))), ok(a)), f(ok(b), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(a, f(_x171, f(_x181, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(ok(a), f(proper(_x171), f(proper(_x181), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x121, a)))), a), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x121), ok(a))))), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x211, _x212), b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x211), proper(_x212)), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(b, f(f(_x121, _x122), f(_x141, b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(f(proper(_x121), proper(_x122)), f(proper(_x141), ok(b))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, b), _x62), _x52), a), b))) → top#(f(f(f(f(f(ok(a), ok(b)), proper(_x62)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(a, f(a, b)), b))) → top#(f(f(ok(a), f(ok(a), ok(b))), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(a, f(_x141, f(_x151, a))))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(a), f(proper(_x141), f(proper(_x151), ok(a)))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(b, f(b, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(ok(b), f(ok(b), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, _x122), f(_x121, a)))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), proper(_x122)), f(proper(_x121), ok(a))))), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(a, _x112))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(a), proper(_x112)))), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, _x122), f(f(_x131, _x132), _x142)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), proper(_x122)), f(f(proper(_x131), proper(_x132)), proper(_x142))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, a)))), a), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), ok(a))))), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, a), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), ok(a)), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(_x111, f(_x141, f(f(_x191, f(b, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(a, f(b, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(ok(a), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(a, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(ok(a), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(b, f(_x111, f(_x141, _x142)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(proper(_x111), f(proper(_x141), proper(_x142))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, f(_x141, _x142)), f(_x141, b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), f(proper(_x141), proper(_x142))), f(proper(_x141), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(b, _x62), _x52), a), b))) → top#(f(f(f(f(ok(b), proper(_x62)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(b, f(_x221, f(_x231, _x232))), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(ok(b), f(proper(_x221), f(proper(_x231), proper(_x232)))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(b, f(_x111, f(f(_x131, f(_x161, _x162)), b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(proper(_x111), f(f(proper(_x131), f(proper(_x161), proper(_x162))), ok(b))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(a, f(f(_x241, _x242), b)), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(ok(a), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(f(a, _x122), f(b, _x142)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(ok(a), proper(_x122)), f(ok(b), proper(_x142))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(a, _x112))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(a), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(_x141, b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(proper(_x141), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(a, f(f(a, b), a)))) → top#(f(ok(a), f(f(ok(a), ok(b)), ok(a))))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(a, f(_x141, f(f(_x191, f(b, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(ok(a), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(a, f(f(_x191, f(b, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(ok(a), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(a, a))) → top#(ok(f(a, a)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x241, b), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), ok(b)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(b, f(f(_x161, _x162), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(ok(b), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, _x72), _x62), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), proper(_x72)), proper(_x62)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(_x141, f(b, _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(proper(_x141), f(ok(b), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(b, _x72), _x62), _x52), a), b))) → top#(f(f(f(f(f(ok(b), proper(_x72)), proper(_x62)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(b, b))) → top#(ok(f(b, b)))
top#(mark(f(a, f(f(_x61, b), f(_x61, _x62))))) → top#(f(ok(a), f(f(proper(_x61), ok(b)), f(proper(_x61), proper(_x62)))))top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(_x111, f(f(_x161, _x162), f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(_x111, b))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(proper(_x111), ok(b)))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(f(_x191, _x192), _x172))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), proper(_x192)), proper(_x172)))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, a), a), b), a), b))) → top#(f(f(f(f(f(ok(a), ok(a)), ok(a)), ok(b)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, _x112))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), proper(_x112)))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(a, f(a, f(a, _x82))), b))) → top#(f(f(ok(a), f(ok(a), f(ok(a), proper(_x82)))), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(f(_x191, _x192), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), proper(_x192)), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(f(b, _x122), f(b, _x142)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(ok(b), proper(_x122)), f(ok(b), proper(_x142))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(_x161, _x162), f(f(_x191, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(b, f(_x111, _x112))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(proper(_x111), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), _x172))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), _x102), f(_x111, f(f(_x161, _x162), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), proper(_x102)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(a, f(_x121, a)))), a), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(a), f(proper(_x121), ok(a))))), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, _x82)), _x62), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), proper(_x82))), proper(_x62)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, _x112))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), proper(_x112)))), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), b))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(b)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, _x82)), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), proper(_x82))), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(f(b, _x192), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(f(ok(b), proper(_x192)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, _x122), f(_x141, f(_x171, _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), proper(_x122)), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x121, _x122)))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x121), proper(_x122))))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, _x122), f(b, b)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), proper(_x122)), f(ok(b), ok(b))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x241, f(_x251, _x252)), b)), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), f(proper(_x251), proper(_x252))), ok(b))), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), f(_x141, _x142)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), f(proper(_x141), proper(_x142))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(_x161, f(_x171, _x172)), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(proper(_x161), f(proper(_x171), proper(_x172))), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(b, f(_x121, _x122)))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(b), f(proper(_x121), proper(_x122))))), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(_x141, _x142)))), a), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(proper(_x141), proper(_x142))))), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(_x71, _x72), a), b), a), b))) → top#(f(f(f(f(f(proper(_x71), proper(_x72)), ok(a)), ok(b)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(b, f(f(_x241, _x242), b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(ok(b), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(b, f(_x111, f(f(f(_x151, _x152), _x132), b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(proper(_x111), f(f(f(proper(_x151), proper(_x152)), proper(_x132)), ok(b))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(b, f(_x111, f(f(_x131, b), b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(proper(_x111), f(f(proper(_x131), ok(b)), ok(b))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(a, f(_x141, f(_x171, _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(a), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(_x111, f(_x141, f(f(b, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(proper(_x111), f(proper(_x141), f(f(ok(b), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(f(f(_x131, _x132), _x122), a))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(f(proper(_x131), proper(_x132)), proper(_x122)), ok(a)))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(f(_x191, f(_x221, b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(_x171, a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(proper(_x171), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(a, f(f(f(_x71, _x72), b), _x52)))) → top#(f(ok(a), f(f(f(proper(_x71), proper(_x72)), ok(b)), proper(_x52))))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, f(a, a))))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), f(ok(a), ok(a)))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, a), a), f(_x61, a)), a), b))) → top#(f(f(f(f(f(ok(a), ok(a)), ok(a)), f(proper(_x61), ok(a))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, a), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), ok(a)), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, b))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), ok(b)))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(f(_x131, _x132), f(_x141, b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x131), proper(_x132)), f(proper(_x141), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), _x102), f(_x111, f(_x141, f(f(_x191, f(b, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(_x71, _x72), _x62), a), a), b))) → top#(f(f(f(f(f(proper(_x71), proper(_x72)), proper(_x62)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(_x111, f(_x141, f(f(_x191, f(b, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, _x142)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), proper(_x142))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(f(_x191, f(_x221, a)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(a))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(a, a), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), ok(a)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, _x142)))), a), f(a, f(_x91, _x92))), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), proper(_x142))))), ok(a)), f(ok(a), f(proper(_x91), proper(_x92)))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, a), a), f(_x61, f(_x91, _x92))), a), b))) → top#(f(f(f(f(f(ok(a), ok(a)), ok(a)), f(proper(_x61), f(proper(_x91), proper(_x92)))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(_x71, _x72), f(_x71, _x72)), _x52), a), b))) → top#(f(f(f(f(f(proper(_x71), proper(_x72)), f(proper(_x71), proper(_x72))), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, f(_x171, f(_x161, _x162)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), f(proper(_x171), f(proper(_x161), proper(_x162))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(f(f(_x251, _x252), _x242), b)), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(f(proper(_x251), proper(_x252)), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(_x161, _x162), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(_x61, a), _x52), a), b))) → top#(f(f(f(f(proper(_x61), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(b, f(f(_x191, f(_x221, b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(ok(b), f(f(proper(_x191), f(proper(_x221), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(b, f(f(_x191, _x192), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(ok(b), f(f(proper(_x191), proper(_x192)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(b, b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(ok(b), ok(b))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), f(_x141, b)))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), f(proper(_x141), ok(b))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(_x141, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(a, f(a, f(_x81, a))), b))) → top#(f(f(ok(a), f(ok(a), f(proper(_x81), ok(a)))), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(_x161, _x162), f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), ok(b))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(b, _x162), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x121, f(_x151, _x152))))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x121), f(proper(_x151), proper(_x152)))))), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(_x161, _x162), _x142)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(proper(_x161), proper(_x162)), proper(_x142))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(b, b))) → top#(f(ok(b), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(f(a, b), f(_x121, b)))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(ok(a), ok(b)), f(proper(_x121), ok(b))))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, a), a), f(a, a)), a), b))) → top#(f(f(f(f(ok(f(a, a)), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(_x171, _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(_x51, b), _x42), b))) → top#(f(f(f(proper(_x51), ok(b)), proper(_x42)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, _x112))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(a, f(a, a)), b))) → top#(f(ok(f(a, f(a, a))), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(f(_x191, f(a, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(a), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(b, f(_x141, f(f(_x191, f(_x221, b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(ok(b), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, b))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), ok(b)))), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(a, f(_x141, f(f(b, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(ok(a), f(proper(_x141), f(f(ok(b), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(a, f(f(_x61, b), a)))) → top#(f(ok(a), f(f(proper(_x61), ok(b)), ok(a))))top#(mark(f(a, f(f(a, b), f(a, _x62))))) → top#(f(ok(a), f(f(ok(a), ok(b)), f(ok(a), proper(_x62)))))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(a, f(f(b, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(ok(a), f(f(ok(b), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(f(_x191, _x192), b))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), proper(_x192)), ok(b)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(a, _x112))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(ok(a), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(b, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(ok(b), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(a, a), f(_x111, _x112))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), ok(a)), f(proper(_x111), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(f(f(_x131, _x132), b), _x112))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(f(proper(_x131), proper(_x132)), ok(b)), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(b, f(b, f(_x141, b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(ok(b), f(proper(_x141), ok(b))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(b, f(f(_x191, f(_x221, f(_x211, _x212))), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(ok(b), f(f(proper(_x191), f(proper(_x221), f(proper(_x211), proper(_x212)))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(b, _x222)), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(b, f(f(_x191, f(_x221, a)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(ok(b), f(f(proper(_x191), f(proper(_x221), ok(a))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, a)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), ok(a))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(b, f(_x141, f(f(b, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(ok(b), f(proper(_x141), f(f(ok(b), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(a, _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(ok(a), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(f(_x161, _x162), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(_x141, f(_x171, _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(a, b), b))) → top#(f(f(ok(a), ok(b)), ok(b)))
top#(mark(f(f(f(f(f(a, f(b, f(a, f(f(b, _x132), b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(ok(a), f(f(ok(b), proper(_x132)), ok(b))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), _x102), f(_x111, f(b, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), proper(_x102)), f(proper(_x111), f(ok(b), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(_x161, _x162), f(f(_x191, f(f(f(_x211, _x212), _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(f(f(proper(_x211), proper(_x212)), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(a, f(_x171, _x172))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(ok(a), f(proper(_x171), proper(_x172)))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, a), a), f(b, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), ok(a)), ok(a)), f(ok(b), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), ok(b))))), ok(a)), ok(f(b, b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, _x142)))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), proper(_x142))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, f(f(_x161, _x162), _x152))))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), f(f(proper(_x161), proper(_x162)), proper(_x152)))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, f(_x151, _x152))))), a), f(a, a)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), f(proper(_x151), proper(_x152)))))), ok(a)), f(ok(a), ok(a))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(b, _x222)), _x172))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, a)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), ok(a))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))top#(mark(f(a, f(f(a, b), b)))) → top#(f(ok(a), f(ok(f(a, b)), proper(_x52))))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, f(b, _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), f(ok(b), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(f(_x131, _x132), _x142)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(f(proper(_x131), proper(_x132)), proper(_x142))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(f(a, b), f(f(_x141, _x142), _x122)))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(ok(a), ok(b)), f(f(proper(_x141), proper(_x142)), proper(_x122))))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(f(b, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(f(ok(b), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(_x51, f(_x61, _x62)), _x42), b))) → top#(f(f(f(proper(_x51), f(proper(_x61), proper(_x62))), proper(_x42)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, f(f(_x191, _x192), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), proper(_x192)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(f(_x211, _x212), _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(f(proper(_x211), proper(_x212)), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, b))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), ok(b)))), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, b)), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), ok(b))), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(b, f(_x111, _x112))), a), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(proper(_x111), proper(_x112)))), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, _x82)), a), b), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), proper(_x82))), ok(a)), ok(b)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(b, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(ok(b), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(a, f(_x171, _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(ok(a), f(proper(_x171), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, _x72), a), a), a), b))) → top#(f(f(f(f(f(ok(a), proper(_x72)), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(f(_x131, _x132), f(_x141, f(f(b, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(proper(_x141), f(f(ok(b), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(_x161, _x162), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(_x161, _x162), f(f(_x191, f(_x221, b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(proper(_x221), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(b, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(ok(b), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(b)) → top#(ok(b))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(b, f(_x151, a))))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(ok(b), f(proper(_x151), ok(a)))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(_x61, _x62), b), a), b))) → top#(f(f(f(f(proper(_x61), proper(_x62)), ok(b)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, _x142)))), a), f(a, a)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), proper(_x142))))), ok(a)), f(ok(a), ok(a))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(_x111, f(b, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(proper(_x111), f(ok(b), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(a, f(a, f(f(a, _x92), _x82))), b))) → top#(f(f(ok(a), f(ok(a), f(f(ok(a), proper(_x92)), proper(_x82)))), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, _x112))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), proper(_x112)))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(_x161, _x162), f(f(_x191, f(f(a, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(f(ok(a), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, b), f(_x141, _x142)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), ok(b)), f(proper(_x141), proper(_x142))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(a, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(ok(a), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(b, f(_x121, a)))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(b), f(proper(_x121), ok(a))))), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, b))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), ok(b)))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(a, f(a, f(b, _x82))), b))) → top#(f(f(ok(a), f(ok(a), f(ok(b), proper(_x82)))), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, _x112))), a), f(_x61, f(_x91, _x92))), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), proper(_x112)))), ok(a)), f(proper(_x61), f(proper(_x91), proper(_x92)))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, f(_x131, _x132)), f(b, _x142)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), f(proper(_x131), proper(_x132))), f(ok(b), proper(_x142))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(b, _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(ok(b), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(b, a))) → top#(f(ok(b), ok(a)))
top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, _x122), f(b, _x142)))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), proper(_x122)), f(ok(b), proper(_x142))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(b, f(_x141, f(_x171, _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(ok(b), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(f(_x131, _x132), f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, a), a), a), a), b))) → top#(f(f(f(f(ok(f(a, a)), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(b, f(_x221, _x222)), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(ok(b), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(f(_x171, _x172), _x162), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(f(proper(_x171), proper(_x172)), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(_x141, _x142)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(proper(_x141), proper(_x142))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(a, f(_x141, _x142)))), a), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(a), f(proper(_x141), proper(_x142))))), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(a, f(_x51, b)))) → top#(f(ok(a), f(proper(_x51), ok(b))))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(f(_x141, _x142), a)))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(f(proper(_x141), proper(_x142)), ok(a))))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(b, f(_x51, a)))) → top#(f(ok(b), f(proper(_x51), ok(a))))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(a, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(a), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(a, f(_x141, f(_x171, _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(ok(a), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, _x112))), a), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), proper(_x112)))), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(a, f(f(b, b), b)))) → top#(f(ok(a), f(f(ok(b), ok(b)), ok(b))))top#(mark(f(a, f(f(b, b), b)))) → top#(f(ok(a), f(ok(f(b, b)), proper(_x52))))
top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(_x141, f(_x171, b))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(proper(_x141), f(proper(_x171), ok(b)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(b, f(_x221, _x222)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(ok(b), f(proper(_x221), proper(_x222))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(_x141, f(_x171, f(_x181, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(proper(_x141), f(proper(_x171), f(proper(_x181), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, a), _x62), _x52), a), b))) → top#(f(f(f(f(f(ok(a), ok(a)), proper(_x62)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), b))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), ok(b)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(f(f(_x211, _x212), _x192), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(f(f(proper(_x211), proper(_x212)), proper(_x192)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, _x122), f(_x141, b)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), proper(_x122)), f(proper(_x141), ok(b))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, a), a), f(f(_x81, _x82), _x62)), a), b))) → top#(f(f(f(f(f(ok(a), ok(a)), ok(a)), f(f(proper(_x81), proper(_x82)), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(_x161, b), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(proper(_x161), ok(b)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, _x122), f(a, _x142)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), proper(_x122)), f(ok(a), proper(_x142))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(_x171, a))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(proper(_x171), ok(a)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(b, f(a, _x112))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(ok(a), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(b, f(_x171, _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(ok(b), f(proper(_x171), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(b, f(a, b)))) → top#(f(ok(b), f(ok(a), ok(b))))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(b, f(f(_x191, f(f(_x241, _x242), b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(ok(b), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(f(_x131, _x132), f(f(_x161, _x162), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(f(_x111, _x112), _x102), f(_x111, _x112))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x111), proper(_x112)), proper(_x102)), f(proper(_x111), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(b, f(_x141, f(_x151, _x152))))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(b), f(proper(_x141), f(proper(_x151), proper(_x152)))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(_x171, _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, f(_x151, _x152))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), f(proper(_x151), proper(_x152)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(b, _x112))), a), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), proper(_x112)))), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(b, f(_x171, _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(ok(b), f(proper(_x171), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(_x111, a))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(proper(_x111), ok(a)))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, _x122), b))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), proper(_x122)), ok(b)))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(_x111, _x112))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(proper(_x111), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(a, f(_x141, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(a), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x241, f(_x251, _x252)), b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), f(proper(_x251), proper(_x252))), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, b), f(_x141, b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), ok(b)), f(proper(_x141), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), f(_x141, b)))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), f(proper(_x141), ok(b))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(b, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(ok(b), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(f(a, _x242), b)), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(ok(a), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(f(_x131, _x132), f(b, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(ok(b), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, a)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(a))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(f(_x191, _x192), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), proper(_x192)), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(a, f(_x141, f(_x171, _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(a), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(b, _x222)), b))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), ok(b)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(_x161, _x162), f(_x171, _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(proper(_x171), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(_x61, _x62), f(_x61, _x62)), a), b))) → top#(f(f(f(f(proper(_x61), proper(_x62)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(_x41, f(_x51, _x52)), b))) → top#(f(f(proper(_x41), f(proper(_x51), proper(_x52))), ok(b)))top#(mark(f(f(f(f(f(a, f(b, f(_x111, f(_x141, f(_x171, _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(proper(_x111), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), f(f(_x151, _x152), b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), f(f(proper(_x151), proper(_x152)), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x111, _x112)), f(_x111, f(_x141, f(_x171, _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x111), proper(_x112))), f(proper(_x111), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(b, f(_x171, _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(ok(b), f(proper(_x171), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(a, b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(ok(a), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(_x111, f(_x141, f(f(_x191, f(b, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(f(b, _x122), a))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(ok(b), proper(_x122)), ok(a)))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(b, f(a, f(f(_x131, b), b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(ok(a), f(f(proper(_x131), ok(b)), ok(b))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(f(_x131, _x132), f(_x141, f(f(_x191, f(f(_x241, _x242), b)), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, f(_x131, _x132)), _x112))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), f(proper(_x131), proper(_x132))), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, f(b, _x152))))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), f(ok(b), proper(_x152)))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, a), f(_x141, b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), ok(a)), f(proper(_x141), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(_x71, _x72), _x62), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(proper(_x71), proper(_x72)), proper(_x62)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(_x161, _x162), _x142)))), a), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(proper(_x161), proper(_x162)), proper(_x142))))), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, _x112))), a), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), proper(_x112)))), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, _x122), f(_x141, f(_x151, _x152))))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), proper(_x122)), f(proper(_x141), f(proper(_x151), proper(_x152)))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(b, f(_x171, _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(ok(b), f(proper(_x171), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(a, f(f(_x61, _x62), a)))) → top#(f(ok(a), f(f(proper(_x61), proper(_x62)), ok(a))))
top#(mark(f(f(f(f(f(a, f(_x81, f(a, f(_x141, _x142)))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(a), f(proper(_x141), proper(_x142))))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(f(_x141, _x142), a)))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(f(proper(_x141), proper(_x142)), ok(a))))), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, a)), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), ok(a))), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, _x82)), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), proper(_x82))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(_x61, _x62), _x52), _x42), b))) → top#(f(f(f(f(proper(_x61), proper(_x62)), proper(_x52)), proper(_x42)), ok(b)))top#(mark(f(f(a, f(a, f(f(_x91, a), _x82))), b))) → top#(f(f(ok(a), f(ok(a), f(f(proper(_x91), ok(a)), proper(_x82)))), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(a, f(b, a)))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(a), f(ok(b), ok(a))))), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, a)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), ok(a))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), _x112))), a), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), proper(_x112)))), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(a, f(f(_x191, f(_x221, b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(ok(a), f(f(proper(_x191), f(proper(_x221), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(a, f(a, a)))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(a), f(ok(a), ok(a))))), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(_x111, f(_x141, f(f(b, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(ok(b), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(a, f(f(_x161, _x162), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(ok(a), f(f(proper(_x161), proper(_x162)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x121, b)))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x121), ok(b))))), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(a, f(_x141, b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(a), f(proper(_x141), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(b, _x112))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(b), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, b), f(b, _x142)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), ok(b)), f(ok(b), proper(_x142))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(_x171, _x172))))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(_x141, f(f(b, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(proper(_x141), f(f(ok(b), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(_x111, _x112))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(proper(_x111), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(_x41, _x42), _x22))) → top#(f(f(proper(_x41), proper(_x42)), proper(_x22)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(f(b, _x242), b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(ok(b), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, a)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), ok(a))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, _x142)))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), proper(_x142))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(_x111, f(_x141, f(f(a, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(ok(a), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(b, f(_x141, f(_x171, _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(b), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(b, f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(ok(b), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), f(_x141, _x142)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), f(proper(_x141), proper(_x142))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(_x141, _x142)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(proper(_x141), proper(_x142))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, b)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), ok(b))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(b, f(f(_x191, f(f(_x241, _x242), b)), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(ok(b), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(b, f(b, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(ok(b), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(f(a, b), f(_x121, f(_x151, _x152))))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(ok(a), ok(b)), f(proper(_x121), f(proper(_x151), proper(_x152)))))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(a, f(f(b, b), f(_x61, _x62))))) → top#(f(ok(a), f(f(ok(b), ok(b)), f(proper(_x61), proper(_x62)))))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, _x142)))), a), f(a, a)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), proper(_x142))))), ok(a)), f(ok(a), ok(a))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(b, f(a, f(f(_x131, _x132), b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(ok(a), f(f(proper(_x131), proper(_x132)), ok(b))))), ok(a)), ok(f(b, b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(f(_x211, _x212), f(f(_x241, _x242), b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(f(proper(_x211), proper(_x212)), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, _x122), f(b, _x142)))), a), f(a, a)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), proper(_x122)), f(ok(b), proper(_x142))))), ok(a)), f(ok(a), ok(a))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(f(a, b), a))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(ok(a), ok(b)), ok(a)))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(f(a, _x122), f(_x141, _x142)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(ok(a), proper(_x122)), f(proper(_x141), proper(_x142))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, f(_x171, a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), f(proper(_x171), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(_x111, f(_x141, f(f(_x191, f(b, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x121, a)))), a), b), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x121), ok(a))))), ok(a)), ok(b)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(a, _x112))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(ok(a), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, b), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), ok(b)), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(a, f(_x141, f(_x171, _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(a), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, _x142)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), proper(_x142))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(a, f(_x51, f(_x81, _x82))), b))) → top#(f(f(ok(a), f(proper(_x51), f(proper(_x81), proper(_x82)))), ok(b)))top#(mark(f(f(f(f(f(_x71, a), _x62), _x52), a), b))) → top#(f(f(f(f(f(proper(_x71), ok(a)), proper(_x62)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(_x171, f(_x201, _x202)))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(proper(_x171), f(proper(_x201), proper(_x202))))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x121, _x122)))), a), b), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x121), proper(_x122))))), ok(a)), ok(b)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(a, f(a, _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(ok(a), f(ok(a), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(b, _x52), _x42), b))) → top#(f(f(f(ok(b), proper(_x52)), proper(_x42)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(_x111, f(_x141, f(_x171, _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(proper(_x111), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(_x41, _x42), a))) → top#(f(f(proper(_x41), proper(_x42)), ok(a)))
top#(mark(f(f(f(f(f(a, f(b, f(_x111, f(f(_x131, a), b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(proper(_x111), f(f(proper(_x131), ok(a)), ok(b))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(b, f(_x111, f(_x141, f(_x171, _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(proper(_x111), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, _x122), f(_x121, _x122)))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), proper(_x122)), f(proper(_x121), proper(_x122))))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(f(b, _x122), f(_x141, _x142)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(ok(b), proper(_x122)), f(proper(_x141), proper(_x142))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, a), _x112))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), ok(a)), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(b, f(f(_x191, f(a, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(ok(b), f(f(proper(_x191), f(ok(a), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, _x222)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), proper(_x222))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(b, f(_x121, a)))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(b), f(proper(_x121), ok(a))))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(b, f(b, f(a, f(_x171, _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(ok(b), f(ok(a), f(proper(_x171), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, f(_x151, f(_x161, _x162)))))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), f(proper(_x151), f(proper(_x161), proper(_x162))))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(_x51, _x52), f(_x51, _x52)), b))) → top#(f(f(f(proper(_x51), proper(_x52)), f(proper(_x51), proper(_x52))), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, b))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), ok(b)))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(b, f(f(_x241, _x242), b)), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(ok(b), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(a, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(ok(a), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(a, f(f(a, b), f(f(_x81, _x82), _x62))))) → top#(f(ok(a), f(f(ok(a), ok(b)), f(f(proper(_x81), proper(_x82)), proper(_x62)))))top#(mark(f(f(f(f(f(a, f(b, f(_x111, f(_x141, f(f(_x191, _x192), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), proper(_x192)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(f(f(_x141, _x142), _x132), f(_x141, b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(f(proper(_x141), proper(_x142)), proper(_x132)), f(proper(_x141), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(a, f(_x121, a)))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(a), f(proper(_x121), ok(a))))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, _x142)))), a), f(_x61, a)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), proper(_x142))))), ok(a)), f(proper(_x61), ok(a))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, f(_x211, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), f(proper(_x211), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(_x111, f(_x141, f(f(b, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(ok(b), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(_x111, f(_x141, f(_x171, _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(proper(_x111), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(b, f(a, f(f(f(_x151, _x152), _x132), b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(ok(a), f(f(f(proper(_x151), proper(_x152)), proper(_x132)), ok(b))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(a, f(f(_x191, _x192), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(ok(a), f(f(proper(_x191), proper(_x192)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(f(_x191, _x192), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), proper(_x192)), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(b, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(ok(b), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(b, f(f(_x191, f(b, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(ok(b), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(f(_x121, _x122), _x112))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(f(proper(_x121), proper(_x122)), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(b, f(_x171, _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(ok(b), f(proper(_x171), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(_x111, f(b, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(proper(_x111), f(ok(b), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(a, f(b, b)))) → top#(f(ok(a), f(ok(b), ok(b))))top#(mark(f(a, f(_x51, a)))) → top#(f(ok(a), f(proper(_x51), ok(a))))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(_x21, f(_x51, _x52)))) → top#(f(proper(_x21), f(proper(_x51), proper(_x52))))
top#(mark(f(f(a, f(a, f(f(f(_x101, _x102), _x92), _x82))), b))) → top#(f(f(ok(a), f(ok(a), f(f(f(proper(_x101), proper(_x102)), proper(_x92)), proper(_x82)))), ok(b)))top#(mark(f(a, f(f(a, _x62), _x52)))) → top#(f(ok(a), f(f(ok(a), proper(_x62)), proper(_x52))))
top#(mark(f(f(f(f(f(a, f(_x81, f(b, _x112))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), proper(_x112)))), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(b, f(f(f(_x181, _x182), f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(ok(b), f(f(f(proper(_x181), proper(_x182)), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(_x51, b), a), b))) → top#(f(f(f(proper(_x51), ok(b)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(b, f(_x221, a)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(ok(b), f(proper(_x221), ok(a))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(a, f(_x221, b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(ok(a), f(proper(_x221), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(_x71, _x72), a), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(proper(_x71), proper(_x72)), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(_x141, f(f(_x191, f(b, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(_x161, a), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(proper(_x161), ok(a)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(a, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(a), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(b, f(_x111, f(a, b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(proper(_x111), f(ok(a), ok(b))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, _x142)))), a), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), proper(_x142))))), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(a, b))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(a), ok(b)))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(a, f(_x171, _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(ok(a), f(proper(_x171), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(_x171, _x172))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(b, f(f(_x231, _x232), _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(ok(b), f(f(proper(_x231), proper(_x232)), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(b, f(_x111, f(f(a, _x132), b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(proper(_x111), f(f(ok(a), proper(_x132)), ok(b))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(b, a)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), ok(a))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, a), a), f(a, b)), a), b))) → top#(f(f(f(f(ok(f(a, a)), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(a, f(f(_x191, f(f(_x241, _x242), b)), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(ok(a), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, _x72), f(_x71, _x72)), _x52), a), b))) → top#(f(f(f(f(f(ok(a), proper(_x72)), f(proper(_x71), proper(_x72))), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, a), a), _x52), a), b))) → top#(f(f(f(f(ok(f(a, a)), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, _x142)))), a), f(a, f(_x91, _x92))), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), proper(_x142))))), ok(a)), f(ok(a), f(proper(_x91), proper(_x92)))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(_x161, _x162), b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(proper(_x161), proper(_x162)), ok(b))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(_x131, _x132), f(_x171, _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(proper(_x131), proper(_x132)), f(proper(_x171), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(_x111, f(_x141, f(f(b, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(ok(b), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(a, _x112))), a), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(a), proper(_x112)))), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(b, f(_x111, f(_x141, b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(proper(_x111), f(proper(_x141), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(b, f(a, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(ok(b), f(ok(a), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(a, f(_x151, _x152))))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(ok(a), f(proper(_x151), proper(_x152)))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(b, f(f(_x191, f(f(_x201, _x202), _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(ok(b), f(f(proper(_x191), f(f(proper(_x201), proper(_x202)), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(a, _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(ok(a), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, _x122), _x112))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), proper(_x122)), proper(_x112)))), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, f(a, _x152))))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), f(ok(a), proper(_x152)))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(b, b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(a, f(_x141, _x142)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(a), f(proper(_x141), proper(_x142))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(a, f(_x171, _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(ok(a), f(proper(_x171), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(a, b), b))) → top#(f(ok(f(a, b)), ok(b)))top#(mark(f(a, f(a, f(_x61, _x62))))) → top#(f(ok(a), f(ok(a), f(proper(_x61), proper(_x62)))))
top#(mark(f(f(f(f(f(_x71, f(_x81, _x82)), a), _x52), a), b))) → top#(f(f(f(f(f(proper(_x71), f(proper(_x81), proper(_x82))), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(b, a)))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(ok(b), ok(a))))), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(b, f(_x221, _x222)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(ok(b), f(proper(_x221), proper(_x222))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(_x51, _x52), b), b))) → top#(f(f(f(proper(_x51), proper(_x52)), ok(b)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(a, f(_x151, a))))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(ok(a), f(proper(_x151), ok(a)))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), _x172))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), proper(_x172)))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(_x61, _x62), a), a), b))) → top#(f(f(f(f(proper(_x61), proper(_x62)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, _x142)))), a), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), proper(_x142))))), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(_x171, b))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(proper(_x171), ok(b)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(a, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(ok(a), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(b, f(a, f(_x171, _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(b), f(ok(a), f(proper(_x171), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(b, f(f(_x61, _x62), b)))) → top#(f(ok(b), f(f(proper(_x61), proper(_x62)), ok(b))))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(a, f(b, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(ok(a), f(ok(b), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(_x111, f(_x141, f(_x171, _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(proper(_x111), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(f(b, _x122), _x112))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(ok(b), proper(_x122)), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(b, f(_x111, f(_x141, _x142)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(proper(_x111), f(proper(_x141), proper(_x142))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(b, f(a, f(f(a, _x132), b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(ok(a), f(f(ok(a), proper(_x132)), ok(b))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(b, _x82)), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), proper(_x82))), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(a, f(a, a)), b))) → top#(f(f(ok(a), f(ok(a), ok(a))), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(f(_x191, f(b, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(f(_x191, f(_x221, _x222)), b))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), proper(_x222))), ok(b)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(b, f(_x111, f(_x141, _x142)))), a), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(proper(_x111), f(proper(_x141), proper(_x142))))), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, _x82)), a), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), proper(_x82))), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(a, f(f(_x141, _x142), a)))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(a), f(f(proper(_x141), proper(_x142)), ok(a))))), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, b)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), ok(b))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(f(b, b), _x112))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(ok(b), ok(b)), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(a, _x162), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(ok(a), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(a, f(_x51, f(_x61, _x62))))) → top#(f(ok(a), f(proper(_x51), f(proper(_x61), proper(_x62)))))
top#(mark(f(f(f(f(f(_x71, b), _x62), _x52), a), b))) → top#(f(f(f(f(f(proper(_x71), ok(b)), proper(_x62)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(_x51, a), _x42), b))) → top#(f(f(f(proper(_x51), ok(a)), proper(_x42)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(_x161, _x162), f(f(_x191, f(b, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), ok(f(a, b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(f(_x211, _x212), f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(f(proper(_x211), proper(_x212)), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, f(_x171, b))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), f(proper(_x171), ok(b)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(_x141, f(f(b, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(proper(_x141), f(f(ok(b), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(a, f(_x141, f(f(_x191, _x192), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(a), f(proper(_x141), f(f(proper(_x191), proper(_x192)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, _x142)))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), proper(_x142))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(f(_x191, f(_x221, _x222)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), proper(_x222))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(f(a, _x122), _x112))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(ok(a), proper(_x122)), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))top#(ok(b)) → top#(mark(a))
top#(mark(f(a, b))) → top#(f(ok(a), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, b)))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), ok(b))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(_x51, a), a), b))) → top#(f(f(f(proper(_x51), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(a, f(_x141, _x142)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(a), f(proper(_x141), proper(_x142))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))

Rewrite Rules

active(f(X, X)) → mark(f(a, b))active(b) → mark(a)
active(f(X1, X2)) → f(active(X1), X2)f(mark(X1), X2) → mark(f(X1, X2))
proper(f(X1, X2)) → f(proper(X1), proper(X2))proper(a) → ok(a)
proper(b) → ok(b)f(ok(X1), ok(X2)) → ok(f(X1, X2))
top(mark(X)) → top(proper(X))top(ok(X)) → top(active(X))

Original Signature

Termination of terms over the following signature is verified: f, b, a, active, mark, ok, proper, top

Strategy

The right-hand side of the rule top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(a, f(_x171, a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(ok(a), f(proper(_x171), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b))) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(ok(a), f(ok(a), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b))) 
top#(f(f(f(f(f(ok(a), f(ok(b), f(ok(b), f(ok(a), f(proper(_x171), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b))) 
top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(ok(a), f(proper(_x171), ok(a)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b))) 
top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(b), f(ok(a), f(proper(_x171), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b))) 
top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(ok(a), f(f(proper(_x161), proper(_x162)), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b))) 
top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(ok(a), f(proper(_x171), ok(a)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b))) 
top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(ok(a), f(ok(b), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b))) 
top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(ok(a), f(proper(_x171), ok(a)))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b))) 
top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(ok(b), f(ok(a), f(proper(_x171), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b))) 
Thus, the rule top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(a, f(_x171, a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(ok(a), f(proper(_x171), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b))) is replaced by the following rules:
top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(a, f(a, a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(ok(a), f(ok(a), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(a, f(_x171, a))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(ok(a), f(proper(_x171), ok(a)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(b, f(a, f(_x171, a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(b), f(ok(a), f(proper(_x171), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(b, f(a, f(_x171, a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(ok(b), f(ok(a), f(proper(_x171), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(b, f(b, f(a, f(_x171, a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(ok(b), f(ok(a), f(proper(_x171), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(a, f(_x171, a))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(ok(a), f(proper(_x171), ok(a)))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(a, f(b, a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(ok(a), f(ok(b), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(a, f(f(_x161, _x162), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(ok(a), f(f(proper(_x161), proper(_x162)), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(a, f(_x171, a))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(ok(a), f(proper(_x171), ok(a)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))

Problem 27: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

top#(mark(f(f(f(f(f(a, f(f(b, a), f(f(_x131, _x132), f(f(b, _x162), f(f(a, f(f(b, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), ok(a)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(ok(b), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(b, f(b, b)))) → top#(ok(f(b, f(b, b))))
top#(mark(f(f(f(f(f(a, f(a, f(f(f(_x131, _x132), _x122), _x112))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(f(proper(_x131), proper(_x132)), proper(_x122)), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(b, f(a, _x52)))) → top#(f(ok(b), f(ok(a), proper(_x52))))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(f(_x151, _x152), b)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(f(proper(_x151), proper(_x152)), ok(b))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(f(b, _x162), f(f(a, a), f(a, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), ok(a)), f(ok(a), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(_x191, _x192), f(b, f(_x211, _x212))))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(proper(_x211), proper(_x212)))))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(f(_x151, _x152), _x132)), f(_x111, f(f(b, b), f(f(a, b), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(f(proper(_x151), proper(_x152)), proper(_x132))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), ok(b)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(_x131, _x132), f(f(b, _x162), f(f(a, f(f(a, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(ok(a), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(a, f(_x131, _x132)), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), f(proper(_x131), proper(_x132))), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(f(_x151, b), b)), f(a, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(proper(_x151), ok(b)), ok(b))), f(ok(a), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(_x71, a), a), _x52), a), b))) → top#(f(f(f(f(f(proper(_x71), ok(a)), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(b, f(f(_x191, f(_x221, _x222)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(ok(b), f(f(proper(_x191), f(proper(_x221), proper(_x222))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(f(a, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(f(ok(a), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, _x122), f(_x121, _x122)))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), proper(_x122)), f(proper(_x121), proper(_x122))))), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(_x171, _x172))))), a), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(b, _x162), f(f(a, _x192), f(f(_x201, _x202), f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(f(proper(_x201), proper(_x202)), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(a, _x132)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(ok(a), proper(_x132))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(_x111, f(f(_x161, _x162), f(f(_x191, f(f(f(_x211, _x212), _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(f(f(proper(_x211), proper(_x212)), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(f(_x121, _x122), _x112))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(f(proper(_x121), proper(_x122)), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), _x82)), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), proper(_x82))), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(a, f(_x141, f(f(_x191, f(b, _x222)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(ok(a), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(b, f(_x141, b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(ok(b), f(proper(_x141), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(a, f(b, a)))) → top#(f(ok(a), f(ok(b), ok(a))))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, f(_x161, _x162))), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), f(proper(_x161), proper(_x162)))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(_x161, f(_x171, _x172)), f(f(_x191, _x192), f(_x181, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(proper(_x161), f(proper(_x171), proper(_x172))), f(f(proper(_x191), proper(_x192)), f(proper(_x181), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, f(_x151, _x152))))), a), f(a, f(_x91, _x92))), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), f(proper(_x151), proper(_x152)))))), ok(a)), f(ok(a), f(proper(_x91), proper(_x92)))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, _x122), f(b, a)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), proper(_x122)), f(ok(b), ok(a))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, b)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(_x241, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), ok(b))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(b, _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(ok(b), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(a, _x142)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(ok(a), proper(_x142))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, b), f(_x111, f(_x141, f(f(_x191, f(b, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), ok(b)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(a, f(a, f(f(b, _x92), _x82))), b))) → top#(f(f(ok(a), f(ok(a), f(f(ok(b), proper(_x92)), proper(_x82)))), ok(b)))top#(mark(f(a, f(f(b, _x62), _x52)))) → top#(f(ok(a), f(f(ok(b), proper(_x62)), proper(_x52))))
top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), f(_x141, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(_x191, _x192), f(b, f(b, a))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(ok(b), ok(a)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(_x211, f(_x241, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(proper(_x211), f(proper(_x241), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x241, a), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), ok(a)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(a, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(ok(a), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, _x112))), a), f(f(_x81, _x82), _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), proper(_x112)))), ok(a)), f(f(proper(_x81), proper(_x82)), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(b, f(_x141, f(f(_x191, f(b, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(ok(b), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, b))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), ok(b)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(a, _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(ok(a), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(a, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(ok(a), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, b), f(f(f(_x181, _x182), _x192), f(b, f(_x211, _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), ok(b)), f(f(f(proper(_x181), proper(_x182)), proper(_x192)), f(ok(b), f(proper(_x211), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, a)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(_x241, _x242)))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), ok(a))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(a, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(ok(a), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(a, a), f(a, _x182)))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), ok(a)), f(ok(a), proper(_x182))))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(_x211, _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(proper(_x211), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(_x111, f(f(_x161, a), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(proper(_x111), f(f(proper(_x161), ok(a)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(f(_x151, _x152), _x132)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(f(proper(_x151), proper(_x152)), proper(_x132))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(_x191, _x192), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(b, _x222)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(a, _x112))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(a), proper(_x112)))), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(_x161, _x162), f(f(f(_x181, _x182), _x192), f(_x181, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(f(proper(_x181), proper(_x182)), proper(_x192)), f(proper(_x181), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(b, _x162), f(f(a, a), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), ok(a)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(f(_x181, _x182), _x192), f(b, f(_x211, _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(f(proper(_x181), proper(_x182)), proper(_x192)), f(ok(b), f(proper(_x211), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(_x131, _x132), f(f(b, f(_x171, _x172)), f(f(a, f(f(b, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), f(proper(_x171), proper(_x172))), f(f(ok(a), f(f(ok(b), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, _x112))), a), f(b, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), proper(_x112)))), ok(a)), f(ok(b), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(_x111, f(b, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(proper(_x111), f(ok(b), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(f(_x161, _x162), f(f(_x191, f(b, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(f(b, f(_x171, _x172)), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), f(proper(_x171), proper(_x172))), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, _x142)))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), proper(_x142))))), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(f(f(_x141, _x142), _x132), f(f(_x161, _x162), f(f(_x191, _x192), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(f(proper(_x141), proper(_x142)), proper(_x132)), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), proper(_x192)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, f(b, a))))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), f(ok(b), ok(a)))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(_x161, _x162), f(f(_x191, f(f(_x241, a), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), ok(a)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(a, _x122)))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(ok(a), proper(_x122))))), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(b, f(_x111, f(f(b, _x132), b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(proper(_x111), f(f(ok(b), proper(_x132)), ok(b))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(f(a, _x242), b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(ok(a), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, b)))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), ok(b))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, b), f(_x111, f(_x141, f(f(_x191, f(b, b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), ok(b)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(f(a, b), b))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(f(a, b)), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(_x191, _x192), f(b, f(f(_x221, b), _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(f(proper(_x221), ok(b)), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(a, f(_x141, b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(ok(a), f(proper(_x141), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(a, f(b, f(_x81, _x82))), b))) → top#(f(f(ok(a), f(ok(b), f(proper(_x81), proper(_x82)))), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(f(b, b), b)), f(a, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(ok(b), ok(b)), ok(b))), f(ok(a), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), f(a, b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), f(ok(a), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(f(a, b), f(a, _x122)))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(ok(a), ok(b)), f(ok(a), proper(_x122))))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(f(_x141, _x142), _x132), f(f(b, _x162), f(f(a, f(f(f(_x201, _x202), _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(f(proper(_x141), proper(_x142)), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(f(proper(_x201), proper(_x202)), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(b, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(ok(b), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), f(_x141, _x142)))), a), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), f(proper(_x141), proper(_x142))))), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(b, _x162), f(f(a, a), f(_x181, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), ok(a)), f(proper(_x181), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(f(_x161, _x162), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(a, f(f(_x161, _x162), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(ok(a), f(f(proper(_x161), proper(_x162)), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(_x111, f(_x141, f(f(_x191, f(a, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(a), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(f(_x151, b), b)), f(a, f(f(b, b), f(f(a, b), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(proper(_x151), ok(b)), ok(b))), f(ok(a), f(f(ok(b), ok(b)), f(f(ok(a), ok(b)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, a), f(f(_x161, _x162), f(f(_x191, _x192), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), ok(a)), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), proper(_x192)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), b), f(_x111, f(_x141, f(f(_x191, f(b, _x222)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), ok(b)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(b, f(f(b, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(ok(b), f(f(ok(b), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(b, b), b), a), b))) → top#(f(f(f(f(ok(b), ok(b)), ok(b)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, a)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), ok(a))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(b, f(_x221, _x222)), b))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(ok(b), f(proper(_x221), proper(_x222))), ok(b)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), _x102), f(_x111, f(_x141, f(f(b, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(ok(b), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), _x102), f(_x111, f(_x141, f(f(_x191, f(b, b)), f(_x201, _x202)))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(f(_x151, b), b)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(proper(_x151), ok(b)), ok(b))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(a, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(ok(a), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(a, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(ok(a), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(b, f(a, f(_x141, b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(ok(a), f(proper(_x141), ok(b))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, b), f(f(_x191, _x192), f(b, f(a, _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), ok(b)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(ok(a), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(a, f(_x141, b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(ok(a), f(proper(_x141), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(b, f(b, f(f(_x131, _x132), b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(ok(b), f(f(proper(_x131), proper(_x132)), ok(b))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(b, f(_x141, f(_x151, a))))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(b), f(proper(_x141), f(proper(_x151), ok(a)))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(f(a, b), f(_x121, a)))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(ok(a), ok(b)), f(proper(_x121), ok(a))))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(f(_x151, _x152), _x132)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(proper(_x151), proper(_x152)), proper(_x132))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(a, f(a, f(_x81, b))), b))) → top#(f(f(ok(a), f(ok(a), f(proper(_x81), ok(b)))), ok(b)))top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(_x111, f(b, b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(proper(_x111), f(ok(b), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(_x111, f(f(_x131, _x132), b)))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(proper(_x111), f(f(proper(_x131), proper(_x132)), ok(b))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(a, f(f(_x191, f(b, b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(ok(a), f(f(proper(_x191), f(ok(b), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(b, f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(_x211, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(proper(_x211), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(_x191, _x192), f(f(_x201, _x202), _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(f(proper(_x201), proper(_x202)), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(_x171, f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(proper(_x171), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(b, _x42), b))) → top#(f(f(ok(b), proper(_x42)), ok(b)))top#(mark(f(f(f(f(f(a, f(b, f(_x111, f(f(b, _x162), f(f(_x191, _x192), f(b, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(a, f(f(a, b), f(_x61, b))))) → top#(f(ok(a), f(f(ok(a), ok(b)), f(proper(_x61), ok(b)))))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(f(_x131, _x132), f(_x141, f(f(_x191, f(_x221, b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(_x191, _x192), f(b, f(_x211, _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(proper(_x211), proper(_x212)))))))), ok(a)), ok(f(b, b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x151, _x152), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x151), proper(_x152)), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(a, f(a, a)))) → top#(f(ok(a), f(ok(a), ok(a))))top#(mark(f(f(f(f(f(a, f(f(b, b), f(f(_x131, _x132), f(f(b, _x162), f(f(a, f(f(b, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), ok(b)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(ok(b), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(a, a), b))) → top#(f(f(ok(a), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(f(b, _x152), _x132)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(f(ok(b), proper(_x152)), proper(_x132))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, a), a))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), ok(a)), ok(a)))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(f(_x151, _x152), b)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(proper(_x151), proper(_x152)), ok(b))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(_x131, _x132), f(f(b, _x162), f(f(a, f(f(b, a), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(ok(b), ok(a)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(_x191, b), f(b, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), ok(b)), f(ok(b), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(f(_x151, _x152), _x132)), f(b, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(f(proper(_x151), proper(_x152)), proper(_x132))), f(ok(b), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x211, _x212), b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x211), proper(_x212)), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, a)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(f(_x251, _x252), _x242)))))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), ok(a))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(f(proper(_x251), proper(_x252)), proper(_x242))))))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(a, _x142)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(ok(a), proper(_x142))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, a)), f(_x111, f(f(b, _x162), f(f(a, b), f(_x181, f(a, f(f(_x251, _x252), _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), ok(a))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), ok(b)), f(proper(_x181), f(ok(a), f(f(proper(_x251), proper(_x252)), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(_x141, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(_x111, f(a, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(proper(_x111), f(ok(a), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(f(_x191, a), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), ok(a)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(a, f(f(_x61, a), _x52)))) → top#(f(ok(a), f(f(proper(_x61), ok(a)), proper(_x52))))
top#(mark(f(f(f(f(f(a, f(f(b, f(f(_x151, b), b)), f(a, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(proper(_x151), ok(b)), ok(b))), f(ok(a), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(f(b, _x162), f(f(a, a), f(a, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(f(ok(b), proper(_x162)), f(f(ok(a), ok(a)), f(ok(a), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), f(f(_x161, _x162), f(f(_x191, a), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), ok(a)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), b))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(b)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(f(_x161, _x162), f(f(_x191, _x192), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), proper(_x192)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(b, _x142)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(ok(b), proper(_x142))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(a, b), _x52), a), b))) → top#(f(f(f(f(ok(a), ok(b)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(a, f(_x121, _x122)))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(a), f(proper(_x121), proper(_x122))))), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(_x171, _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), ok(f(a, b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(f(f(_x141, _x142), _x122), _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(f(proper(_x141), proper(_x142)), proper(_x122)), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(f(a, b), b)), f(a, f(f(b, b), f(f(a, _x192), f(f(_x171, _x172), f(a, b))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(ok(a), ok(b)), ok(b))), f(ok(a), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(f(proper(_x171), proper(_x172)), f(ok(a), ok(b)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(b, _x112))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, b)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), ok(b))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), f(f(b, _x162), f(f(a, a), f(a, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), ok(a)), f(ok(a), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), _x102), f(_x111, f(_x141, f(f(b, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(ok(b), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(a, f(_x141, f(f(_x191, f(b, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(ok(a), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, _x72), a), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), proper(_x72)), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(f(_x121, a), _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), ok(a)), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(_x141, f(f(_x191, f(b, b)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), ok(b))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(_x141, f(f(_x191, f(b, _x222)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, a)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(f(_x251, b), _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), ok(a))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(f(proper(_x251), ok(b)), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(_x141, b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(proper(_x141), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(_x191, _x192), f(b, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(f(b, b), f(_x141, f(f(_x191, f(b, _x222)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(f(ok(b), ok(b)), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(_x191, f(_x201, _x202)), f(_x181, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), f(proper(_x201), proper(_x202))), f(proper(_x181), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, f(_x151, a))))), a), f(a, f(_x91, _x92))), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), f(proper(_x151), ok(a)))))), ok(a)), f(ok(a), f(proper(_x91), proper(_x92)))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(_x161, _x162), f(f(f(_x181, _x182), f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(f(proper(_x181), proper(_x182)), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(_x71, _x72), b), _x52), a), b))) → top#(f(f(f(f(f(proper(_x71), proper(_x72)), ok(b)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(a, _x132)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(_x241, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(ok(a), proper(_x132))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(_x171, _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), ok(f(a, b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(_x141, f(f(_x161, _x162), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(proper(_x141), f(f(proper(_x161), proper(_x162)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(_x61, b), f(_x61, _x62)), a), b))) → top#(f(f(f(f(proper(_x61), ok(b)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(b, f(_x111, f(f(_x131, _x132), b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(proper(_x111), f(f(proper(_x131), proper(_x132)), ok(b))))), ok(a)), ok(f(b, b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(_x191, _x192), f(_x181, _x182)))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(proper(_x181), proper(_x182))))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(a, a), f(f(_x201, _x202), _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), ok(a)), f(f(proper(_x201), proper(_x202)), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(f(f(_x141, _x142), _x122), _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(f(proper(_x141), proper(_x142)), proper(_x122)), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(a, b), f(_x181, f(_x211, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), ok(b)), f(proper(_x181), f(proper(_x211), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, _x112))), a), f(_x61, a)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), proper(_x112)))), ok(a)), f(proper(_x61), ok(a))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(f(_x131, f(_x141, _x142)), f(b, f(f(_x191, f(b, _x222)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(f(proper(_x131), f(proper(_x141), proper(_x142))), f(ok(b), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, a)), f(f(_x131, _x132), f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(f(_x251, _x252), _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), ok(a))), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(f(proper(_x251), proper(_x252)), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x241, f(_x231, _x232)), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), f(proper(_x231), proper(_x232))), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(b, f(a, f(_x171, _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(ok(b), f(ok(a), f(proper(_x171), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(_x191, _x192), f(b, _x182)))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), proper(_x182))))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(_x191, _x192), f(b, f(f(_x221, _x222), _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(f(proper(_x221), proper(_x222)), proper(_x212)))))))), ok(a)), ok(f(b, b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(f(_x151, _x152), _x132)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, b))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(f(proper(_x151), proper(_x152)), proper(_x132))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), ok(b)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x211, _x212), b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x211), proper(_x212)), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, f(_x151, a))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), f(proper(_x151), ok(a)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(f(_x151, b), b)), f(a, f(f(b, b), f(f(a, _x192), f(_x181, f(a, b))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(proper(_x151), ok(b)), ok(b))), f(ok(a), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), ok(b)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(b, f(_x111, f(f(b, _x162), f(f(_x191, _x192), f(b, f(_x211, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(proper(_x211), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(a, f(f(b, _x162), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(ok(a), f(f(ok(b), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(f(_x131, _x132), f(_x141, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(f(_x161, _x162), f(f(_x191, _x192), f(_x181, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(proper(_x181), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, _x222)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), proper(_x222))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(a, f(a, a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(ok(a), f(ok(a), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), _x102), f(_x111, f(b, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), proper(_x102)), f(proper(_x111), f(ok(b), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(b, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(ok(b), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, f(_x171, _x172)), f(f(_x191, _x192), f(b, f(f(_x221, _x222), _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), f(proper(_x171), proper(_x172))), f(f(proper(_x191), proper(_x192)), f(ok(b), f(f(proper(_x221), proper(_x222)), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(f(_x151, b), b)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, f(_x241, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(proper(_x151), ok(b)), ok(b))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(b, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(ok(b), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(f(_x151, b), b)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, a))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(proper(_x151), ok(b)), ok(b))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), ok(a)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(f(_x141, _x142), _x132), f(f(b, b), f(f(a, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(f(proper(_x141), proper(_x142)), proper(_x132)), f(f(ok(b), ok(b)), f(f(ok(a), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(f(b, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(ok(b), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(_x191, b), f(b, f(_x211, _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), ok(b)), f(ok(b), f(proper(_x211), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), f(f(_x161, _x162), f(f(_x191, _x192), b))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), proper(_x192)), ok(b)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, a), f(_x111, f(f(_x131, _x132), b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), ok(a)), f(proper(_x111), f(f(proper(_x131), proper(_x132)), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(_x61, f(_x71, _x72)), _x52), a), b))) → top#(f(f(f(f(proper(_x61), f(proper(_x71), proper(_x72))), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(f(_x121, _x122), f(_x141, f(_x171, _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(f(proper(_x121), proper(_x122)), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(f(_x131, _x132), f(b, f(f(_x191, f(b, _x222)), f(_x181, _x182)))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(f(proper(_x131), proper(_x132)), f(ok(b), f(f(proper(_x191), f(ok(b), proper(_x222))), f(proper(_x181), proper(_x182))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(f(_x151, b), b)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(proper(_x151), ok(b)), ok(b))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), f(f(_x151, _x152), _x132)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), f(f(proper(_x151), proper(_x152)), proper(_x132))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), f(_x131, _x132)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(_x241, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(f(_x131, _x132), f(a, f(f(_x191, f(b, _x222)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(f(proper(_x131), proper(_x132)), f(ok(a), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(_x141, f(f(_x191, f(b, _x222)), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(b, f(_x111, f(_x141, b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(proper(_x111), f(proper(_x141), ok(b))))), ok(a)), ok(f(b, b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(a, f(_x141, _x142)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(a), f(proper(_x141), proper(_x142))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, f(_x211, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), f(proper(_x211), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(_x111, f(f(b, _x162), f(f(b, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(b), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, f(f(_x151, _x152), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), f(f(proper(_x151), proper(_x152)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(b, _x52), a), b))) → top#(f(f(f(ok(b), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(a, _x52), a), b))) → top#(f(f(f(ok(a), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(f(_x131, _x132), f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(_x111, f(f(a, _x132), b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(proper(_x111), f(f(ok(a), proper(_x132)), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, _x132)), f(f(_x131, _x132), f(f(b, _x162), f(f(a, f(f(b, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), proper(_x132))), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(ok(b), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, a)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, f(f(_x251, _x252), _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), ok(a))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(f(proper(_x251), proper(_x252)), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(_x161, _x162), b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(proper(_x161), proper(_x162)), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(_x141, b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(proper(_x141), ok(b))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(f(_x131, _x132), f(b, f(f(_x191, f(b, _x222)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(f(proper(_x131), proper(_x132)), f(ok(b), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), ok(f(b, b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(b, _x162), f(f(a, _x192), f(a, f(_x211, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(ok(a), f(proper(_x211), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(_x131, _x132), f(f(b, _x162), f(f(a, f(f(b, _x242), b)), a))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(ok(b), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(_x141, f(a, _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(proper(_x141), f(ok(a), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, b), f(f(_x191, a), f(b, f(_x211, _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), ok(b)), f(f(proper(_x191), ok(a)), f(ok(b), f(proper(_x211), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(f(_x81, _x82), _x72), a), _x52), a), b))) → top#(f(f(f(f(f(f(proper(_x81), proper(_x82)), proper(_x72)), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(a, f(a, b)))) → top#(f(ok(a), f(ok(a), ok(b))))top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, a)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(f(_x251, a), _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), ok(a))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(f(proper(_x251), ok(a)), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(a, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(ok(a), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(f(_x211, _x212), f(b, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(f(proper(_x211), proper(_x212)), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(_x211, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(proper(_x211), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(f(f(_x131, _x132), _x122), f(_x141, _x142)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(f(proper(_x131), proper(_x132)), proper(_x122)), f(proper(_x141), proper(_x142))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(f(_x151, b), b)), f(a, f(f(b, b), f(f(a, _x192), f(_x181, f(a, a))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(proper(_x151), ok(b)), ok(b))), f(ok(a), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), ok(a)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(_x191, _x192), f(b, f(_x211, b))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(proper(_x211), ok(b)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(f(_x121, _x122), f(_x141, b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(f(proper(_x121), proper(_x122)), f(proper(_x141), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(f(_x181, _x182), _x192), f(b, f(b, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(f(proper(_x181), proper(_x182)), proper(_x192)), f(ok(b), f(ok(b), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, a))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), ok(a)))), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(f(a, _x192), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(f(ok(a), proper(_x192)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(a, a), f(a, _x182)))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), ok(a)), f(ok(a), proper(_x182))))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(_x131, f(_x141, _x142)), f(f(b, _x162), f(f(a, f(f(b, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(proper(_x131), f(proper(_x141), proper(_x142))), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(ok(b), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, _x132)), f(_x111, f(f(b, _x162), f(f(a, a), f(_x181, f(a, f(_x241, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), ok(a)), f(proper(_x181), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(b, f(_x111, f(f(b, _x162), f(f(a, a), f(a, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), ok(a)), f(ok(a), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, a)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(f(_x251, _x252), a)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), ok(a))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(f(proper(_x251), proper(_x252)), ok(a))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(_x71, f(_x81, _x82)), _x62), _x52), a), b))) → top#(f(f(f(f(f(proper(_x71), f(proper(_x81), proper(_x82))), proper(_x62)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(a, f(a, f(f(_x91, _x92), b))), b))) → top#(f(f(ok(a), f(ok(a), f(f(proper(_x91), proper(_x92)), ok(b)))), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(a, f(f(_x131, _x132), b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(ok(a), f(f(proper(_x131), proper(_x132)), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, f(_x171, _x172)), f(f(_x191, _x192), f(_x181, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), f(proper(_x171), proper(_x172))), f(f(proper(_x191), proper(_x192)), f(proper(_x181), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(_x161, _x162), f(f(_x191, f(f(_x241, _x242), b)), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, f(_x251, _x252))), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), f(proper(_x251), proper(_x252)))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(a, f(_x141, b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(a), f(proper(_x141), ok(b))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(_x111, f(b, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(proper(_x111), f(ok(b), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(_x141, f(_x171, _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, a), f(_x111, _x112))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), ok(a)), f(proper(_x111), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), _x102), f(f(_x131, _x132), f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(f(_x151, b), b)), f(_x111, f(f(b, b), f(f(a, _x192), f(a, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(proper(_x151), ok(b)), ok(b))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(ok(a), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(_x161, _x162), f(f(_x191, _x192), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), proper(_x192)), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, _x132)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(_x241, b)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(proper(_x241), ok(b))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(b, f(_x221, _x222)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(ok(b), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(f(a, b), b)), f(a, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(ok(f(a, b)), ok(b))), f(ok(a), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(f(f(_x251, _x252), _x242), b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(f(proper(_x251), proper(_x252)), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(_x61, b), a), a), b))) → top#(f(f(f(f(proper(_x61), ok(b)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), b), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), ok(b)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, _x122), f(b, _x142)))), a), f(a, f(_x91, _x92))), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), proper(_x122)), f(ok(b), proper(_x142))))), ok(a)), f(ok(a), f(proper(_x91), proper(_x92)))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, _x132)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(a, f(f(b, b), a)))) → top#(f(ok(a), f(f(ok(b), ok(b)), ok(a))))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, _x132)), f(_x111, f(f(b, f(_x171, _x172)), f(f(a, _x192), f(_x181, f(a, f(_x241, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), f(proper(_x171), proper(_x172))), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(a, f(f(_x61, _x62), b)))) → top#(f(ok(a), f(f(proper(_x61), proper(_x62)), ok(b))))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(f(f(_x211, _x212), f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(f(f(proper(_x211), proper(_x212)), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(f(b, _x132), f(a, f(f(_x191, f(b, _x222)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(f(ok(b), proper(_x132)), f(ok(a), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(b, _x112))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(ok(b), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, _x122), f(_x121, a)))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), proper(_x122)), f(proper(_x121), ok(a))))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(_x161, _x162), f(f(_x191, f(f(_x241, f(_x221, _x222)), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), f(proper(_x221), proper(_x222))), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, _x182)))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), proper(_x182))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(f(_x131, _x132), f(_x141, f(f(b, f(b, _x222)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(f(proper(_x131), proper(_x132)), f(proper(_x141), f(f(ok(b), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(f(_x131, _x132), f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(b, _x142)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(ok(b), proper(_x142))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(b, b), _x52), a), b))) → top#(f(f(f(f(ok(b), ok(b)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(f(b, b), _x132)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(f(proper(_x151), proper(_x152)), proper(_x132))), f(proper(_x111), f(ok(f(b, b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, _x132)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(_x241, _x242)))))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(f(b, a), f(f(a, _x192), f(_x181, f(a, f(_x241, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), ok(a)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(a, _x192), f(a, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(ok(a), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(_x41, a), b))) → top#(f(f(proper(_x41), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x241, b), b)), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), ok(b)), ok(b))), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(a, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(ok(a), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), _x102), f(b, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), proper(_x102)), f(ok(b), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, b), a))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), ok(b)), ok(a)))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(f(_x151, _x152), _x132)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(_x241, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(f(proper(_x151), proper(_x152)), proper(_x132))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(a, f(f(_x191, f(f(_x241, _x242), b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(ok(a), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(_x161, _x162), f(f(a, _x192), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(ok(a), proper(_x192)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(f(_x131, _x132), f(_x141, f(f(_x191, f(b, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), f(f(b, b), f(f(_x191, _x192), f(b, f(_x211, _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), f(f(ok(b), ok(b)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(proper(_x211), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(b, f(_x111, f(_x141, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, _x122), f(_x141, _x142)))), a), f(a, a)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), proper(_x122)), f(proper(_x141), proper(_x142))))), ok(a)), f(ok(a), ok(a))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(_x111, f(f(_x131, a), b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(proper(_x111), f(f(proper(_x131), ok(a)), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(f(_x131, _x132), f(_x141, f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(b, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(ok(b), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, _x112))), a), b), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), proper(_x112)))), ok(a)), ok(b)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, a), f(f(_x191, _x192), f(b, f(_x211, _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), ok(a)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(proper(_x211), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, b), f(f(_x191, _x192), f(b, f(b, _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), ok(b)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(ok(b), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(b, f(_x141, f(_x171, _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(ok(b), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, _x112))), a), b), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), proper(_x112)))), ok(a)), ok(b)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(f(b, f(_x141, _x142)), f(_x141, f(f(_x191, f(b, _x222)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(f(ok(b), f(proper(_x141), proper(_x142))), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, a), f(b, _x142)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), ok(a)), f(ok(b), proper(_x142))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(b, f(_x111, _x112))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(proper(_x111), proper(_x112)))), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(b, b), b))) → top#(f(f(ok(b), ok(b)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(b, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(ok(b), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, f(f(_x161, _x162), a))))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), f(f(proper(_x161), proper(_x162)), ok(a)))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(b, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(ok(b), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(_x111, f(f(b, _x132), b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(proper(_x111), f(f(ok(b), proper(_x132)), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, _x122), f(_x141, _x142)))), a), f(a, f(_x91, _x92))), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), proper(_x122)), f(proper(_x141), proper(_x142))))), ok(a)), f(ok(a), f(proper(_x91), proper(_x92)))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(b, f(_x111, f(f(b, _x162), f(f(_x191, _x192), f(_x181, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(proper(_x181), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, f(_x151, b))))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), f(proper(_x151), ok(b)))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(_x241, b)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(proper(_x241), ok(b))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, a)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(f(_x201, _x202), f(a, f(_x241, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), ok(a))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(f(proper(_x201), proper(_x202)), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(f(_x141, _x142), f(_x141, _x142)), f(f(b, _x162), f(f(a, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(f(proper(_x141), proper(_x142)), f(proper(_x141), proper(_x142))), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(_x111, f(_x121, _x122)))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(proper(_x111), f(proper(_x121), proper(_x122))))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(a, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(_x241, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(ok(a), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(a, f(_x171, _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(ok(a), f(proper(_x171), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, a))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), ok(a)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(a, a), f(_x181, f(_x211, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), ok(a)), f(proper(_x181), f(proper(_x211), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(a, a)))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(ok(a), ok(a))))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(_x111, f(a, f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(proper(_x111), f(ok(a), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(f(_x131, a), f(_x141, f(f(_x191, f(b, _x222)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(f(proper(_x131), ok(a)), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(_x161, a), f(f(_x191, _x192), f(_x181, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(proper(_x161), ok(a)), f(f(proper(_x191), proper(_x192)), f(proper(_x181), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(f(_x131, _x132), f(_x151, a))))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(f(proper(_x131), proper(_x132)), f(proper(_x151), ok(a)))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), f(_x141, f(f(_x191, _x192), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), f(proper(_x141), f(f(proper(_x191), proper(_x192)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(f(_x131, _x132), f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, f(_x131, _x132)), f(_x141, _x142)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), f(proper(_x131), proper(_x132))), f(proper(_x141), proper(_x142))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(_x161, _x162), f(f(_x191, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(a, f(a, f(f(_x91, f(_x101, _x102)), _x82))), b))) → top#(f(f(ok(a), f(ok(a), f(f(proper(_x91), f(proper(_x101), proper(_x102))), proper(_x82)))), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(a, a), f(_x181, _x182)))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), ok(a)), f(proper(_x181), proper(_x182))))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(_x141, f(f(_x191, _x192), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(proper(_x141), f(f(proper(_x191), proper(_x192)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(_x191, _x192), f(b, f(b, _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(ok(b), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(f(_x131, _x132), f(_x141, f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(f(proper(_x131), proper(_x132)), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(a, f(b, f(_x61, _x62))))) → top#(f(ok(a), f(ok(b), f(proper(_x61), proper(_x62)))))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(b, _x162), f(f(a, f(_x201, _x202)), f(_x181, f(_x211, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), f(proper(_x201), proper(_x202))), f(proper(_x181), f(proper(_x211), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(_x241, f(_x251, _x252))))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(proper(_x241), f(proper(_x251), proper(_x252)))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(_x211, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(proper(_x211), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(a, f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(ok(a), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(b, f(_x221, b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(ok(b), f(proper(_x221), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(f(_x151, _x152), b)), f(_x111, f(f(b, b), f(f(a, a), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(f(proper(_x151), proper(_x152)), ok(b))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), ok(a)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, b), f(_x111, f(f(_x161, _x162), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), ok(b)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(b, f(_x51, f(_x61, _x62))))) → top#(f(ok(b), f(proper(_x51), f(proper(_x61), proper(_x62)))))top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(_x111, f(_x141, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, _x132)), f(_x111, f(f(b, _x162), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(f(f(_x141, _x142), _x132), f(_x141, f(f(_x191, f(b, _x222)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(f(f(proper(_x141), proper(_x142)), proper(_x132)), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(_x161, _x162), f(f(a, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(ok(a), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(_x191, a), f(_x181, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), ok(a)), f(proper(_x181), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(f(b, _x152), b)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(f(ok(b), proper(_x152)), ok(b))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), f(f(_x161, _x162), f(f(_x191, _x192), f(_x181, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(proper(_x181), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, b), f(f(_x191, _x192), f(b, f(_x211, f(_x221, _x222)))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), ok(b)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(proper(_x211), f(proper(_x221), proper(_x222))))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, _x122), f(_x141, a)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), proper(_x122)), f(proper(_x141), ok(a))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(b, _x142)))), a), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(ok(b), proper(_x142))))), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(f(_x131, _x132), f(_x141, f(f(_x191, f(f(_x241, _x242), b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(a, b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(a), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(_x111, f(f(b, _x162), f(f(_x191, f(f(b, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), f(f(ok(b), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(f(f(_x131, _x132), _x122), f(b, _x142)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(f(proper(_x131), proper(_x132)), proper(_x122)), f(ok(b), proper(_x142))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, b)))), a), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), ok(b))))), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(_x211, b))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(proper(_x211), ok(b)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(b, _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(ok(b), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(b, f(a, f(f(_x131, f(_x161, _x162)), b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(ok(a), f(f(proper(_x131), f(proper(_x161), proper(_x162))), ok(b))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(b, _x222)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(a, a), f(a, f(_x211, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), ok(a)), f(ok(a), f(proper(_x211), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(f(_x151, _x152), b)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(f(proper(_x151), proper(_x152)), ok(b))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, f(_x131, _x132)), a))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), f(proper(_x131), proper(_x132))), ok(a)))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), f(f(_x161, _x162), f(f(_x191, _x192), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), proper(_x192)), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(_x141, f(f(b, f(b, b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(proper(_x141), f(f(ok(b), f(ok(b), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(f(a, b), f(_x121, _x122)))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(f(a, b)), f(proper(_x121), proper(_x122))))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, f(_x241, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(_x131, _x132), f(f(b, _x162), f(f(_x191, f(f(f(_x201, _x202), _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(proper(_x191), f(f(f(proper(_x201), proper(_x202)), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x241, a), b)), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), ok(a)), ok(b))), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(f(b, f(_x171, _x172)), f(f(a, _x192), f(_x181, f(a, f(_x241, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), f(proper(_x171), proper(_x172))), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(_x241, a)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(proper(_x241), ok(a))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(b, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(ok(b), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, _x142)))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), proper(_x142))))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(a, f(f(_x71, _x72), _x52)), b))) → top#(f(f(ok(a), f(f(proper(_x71), proper(_x72)), proper(_x52))), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(f(_x131, _x132), f(b, f(f(_x191, f(b, _x222)), a))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(f(proper(_x131), proper(_x132)), f(ok(b), f(f(proper(_x191), f(ok(b), proper(_x222))), ok(a)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), _x112))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), proper(_x112)))), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(_x131, f(_x141, _x142)), f(f(b, _x162), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(proper(_x131), f(proper(_x141), proper(_x142))), f(f(ok(b), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(a, f(_x171, f(_x181, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(ok(a), f(proper(_x171), f(proper(_x181), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, b), _x62), _x52), a), b))) → top#(f(f(f(f(f(ok(a), ok(b)), proper(_x62)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(a, f(a, b)), b))) → top#(f(f(ok(a), f(ok(a), ok(b))), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(a, f(_x141, f(_x151, a))))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(a), f(proper(_x141), f(proper(_x151), ok(a)))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(b, f(b, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(ok(b), f(ok(b), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, _x122), f(_x121, a)))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), proper(_x122)), f(proper(_x121), ok(a))))), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(a, _x112))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(a), proper(_x112)))), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(b, _x132), f(f(b, _x162), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(ok(b), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, _x122), f(f(_x131, _x132), _x142)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), proper(_x122)), f(f(proper(_x131), proper(_x132)), proper(_x142))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(f(a, b), b)), f(a, f(f(b, b), f(f(a, _x192), f(_x181, f(a, b))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(ok(a), ok(b)), ok(b))), f(ok(a), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), ok(b)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(_x111, f(_x141, f(f(_x191, f(b, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(a, f(b, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(ok(a), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, f(_x141, _x142)), f(_x141, b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), f(proper(_x141), proper(_x142))), f(proper(_x141), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, a)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(_x241, b)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), ok(a))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(proper(_x241), ok(b))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(f(_x151, _x152), b)), f(_x111, f(f(b, b), f(f(a, f(_x201, _x202)), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(proper(_x151), proper(_x152)), ok(b))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), f(proper(_x201), proper(_x202))), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, a)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(f(_x201, _x202), f(a, f(f(_x251, _x252), _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), ok(a))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(f(proper(_x201), proper(_x202)), f(ok(a), f(f(proper(_x251), proper(_x252)), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(a, f(f(_x241, _x242), b)), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(ok(a), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(f(a, _x122), f(b, _x142)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(ok(a), proper(_x122)), f(ok(b), proper(_x142))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(_x191, _x192), f(b, f(f(_x221, a), _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(f(proper(_x221), ok(a)), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(f(b, _x162), f(f(_x191, _x192), f(b, f(f(_x221, _x222), _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(f(proper(_x221), proper(_x222)), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(f(_x151, b), b)), f(_x111, f(f(b, b), f(f(a, _x192), f(f(_x201, _x202), f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(proper(_x151), ok(b)), ok(b))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(f(proper(_x201), proper(_x202)), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(a, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(ok(a), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(_x141, b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(proper(_x141), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, _x132)), f(f(_x131, _x132), f(f(b, _x162), f(f(a, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), proper(_x132))), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, _x132)), f(_x111, f(f(_x161, _x162), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(a, f(f(b, _x162), f(f(a, a), f(_x181, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(a), f(f(ok(b), proper(_x162)), f(f(ok(a), ok(a)), f(proper(_x181), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(a, f(a, f(_x241, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(ok(a), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(_x111, f(f(_x131, b), b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(proper(_x111), f(f(proper(_x131), ok(b)), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(f(a, _x132), f(_x141, f(f(_x191, f(b, _x222)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(f(ok(a), proper(_x132)), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(a, f(_x171, a))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(ok(a), f(proper(_x171), ok(a)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(_x161, _x162), f(f(_x191, _x192), f(_x181, f(_x211, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(proper(_x181), f(proper(_x211), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), f(f(a, _x162), f(f(_x191, _x192), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), f(f(ok(a), proper(_x162)), f(f(proper(_x191), proper(_x192)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x241, b), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), ok(b)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(f(_x131, _x132), f(b, f(f(f(_x171, _x172), f(b, _x222)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(f(proper(_x131), proper(_x132)), f(ok(b), f(f(f(proper(_x171), proper(_x172)), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(_x141, f(f(_x191, f(b, _x222)), _x172))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(f(a, b), b)), f(a, f(f(b, b), f(f(a, _x192), f(_x181, f(a, b))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(ok(f(a, b)), ok(b))), f(ok(a), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), ok(b)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(_x111, f(f(b, _x162), f(f(_x191, f(f(f(_x211, _x212), _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), f(f(f(proper(_x211), proper(_x212)), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(f(_x141, _x142), _x132), f(f(b, _x162), f(f(a, f(f(_x241, _x242), b)), a))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(f(proper(_x141), proper(_x142)), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(f(_x131, _x132), f(b, f(f(a, f(b, _x222)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(f(proper(_x131), proper(_x132)), f(ok(b), f(f(ok(a), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(f(_x151, _x152), _x132)), f(_x111, f(f(b, b), f(f(a, _x192), f(f(_x201, _x202), f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(f(proper(_x151), proper(_x152)), proper(_x132))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(f(proper(_x201), proper(_x202)), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(_x161, _x162), f(f(_x191, _x192), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), proper(_x192)), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(f(a, b), b)), f(a, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(ok(a), ok(b)), ok(b))), f(ok(a), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(a, f(f(b, _x162), f(f(_x191, _x192), f(b, f(f(_x221, _x222), _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(a), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(f(proper(_x221), proper(_x222)), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(b, f(_x171, _x172)), f(f(a, _x192), f(_x181, f(_x211, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(ok(b), f(proper(_x171), proper(_x172))), f(f(ok(a), proper(_x192)), f(proper(_x181), f(proper(_x211), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, _x72), _x62), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), proper(_x72)), proper(_x62)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(_x131, a), f(f(b, _x162), f(f(a, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(proper(_x131), ok(a)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(_x141, f(b, _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(proper(_x141), f(ok(b), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, a)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(f(b, _x252), _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), ok(a))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(f(ok(b), proper(_x252)), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(b, _x162), f(f(a, a), f(_x181, f(_x211, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), ok(a)), f(proper(_x181), f(proper(_x211), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(f(b, _x162), f(f(a, a), f(_x181, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), ok(a)), f(proper(_x181), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(_x111, f(f(_x161, _x162), f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(_x111, b))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(proper(_x111), ok(b)))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(f(_x191, _x192), _x172))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), proper(_x192)), proper(_x172)))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(f(b, _x162), f(f(_x191, _x192), f(b, f(_x211, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(proper(_x211), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(b, _x162), f(f(a, _x192), f(b, f(_x211, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(ok(b), f(proper(_x211), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, _x112))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), proper(_x112)))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(_x111, f(f(a, _x162), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(proper(_x111), f(f(ok(a), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(a, f(a, f(a, _x82))), b))) → top#(f(f(ok(a), f(ok(a), f(ok(a), proper(_x82)))), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(a, f(f(b, _x162), f(f(a, _x192), f(_x181, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(a), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(f(_x151, _x152), b)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(f(proper(_x151), proper(_x152)), ok(b))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(b, f(_x111, _x112))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(proper(_x111), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), _x102), f(_x111, f(f(_x161, _x162), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), proper(_x102)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, _x112))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), proper(_x112)))), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), b))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(b)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(f(_x131, _x132), f(_x141, f(f(_x191, f(b, b)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(f(proper(_x131), proper(_x132)), f(proper(_x141), f(f(proper(_x191), f(ok(b), ok(b))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(f(_x151, _x152), b)), f(a, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(proper(_x151), proper(_x152)), ok(b))), f(ok(a), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(a, b), f(f(_x131, _x132), f(_x141, f(f(_x191, f(b, _x222)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), ok(b)), f(f(proper(_x131), proper(_x132)), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(f(_x151, _x152), b)), f(f(_x131, _x132), f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(f(proper(_x151), proper(_x152)), ok(b))), f(f(proper(_x131), proper(_x132)), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x121, _x122)))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x121), proper(_x122))))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x241, f(_x251, _x252)), b)), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), f(proper(_x251), proper(_x252))), ok(b))), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), _x102), f(b, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), proper(_x102)), f(ok(b), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), f(_x141, _x142)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), f(proper(_x141), proper(_x142))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, a)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(b, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), ok(a))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(ok(b), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(_x161, f(_x171, _x172)), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(proper(_x161), f(proper(_x171), proper(_x172))), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), _x102), f(_x111, f(f(_x161, _x162), f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), proper(_x102)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(_x141, f(f(_x191, f(b, b)), b))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), ok(b))), ok(b)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(f(b, a), f(_x141, f(f(_x191, f(b, _x222)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(f(ok(b), ok(a)), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(_x141, _x142)))), a), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(proper(_x141), proper(_x142))))), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(f(_x181, _x182), _x192), f(_x181, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(f(proper(_x181), proper(_x182)), proper(_x192)), f(proper(_x181), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(b, f(f(_x241, _x242), b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(ok(b), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(b, f(_x111, f(f(f(_x151, _x152), _x132), b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(proper(_x111), f(f(f(proper(_x151), proper(_x152)), proper(_x132)), ok(b))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(b, f(_x111, f(f(_x131, b), b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(proper(_x111), f(f(proper(_x131), ok(b)), ok(b))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(_x111, f(_x141, f(f(b, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(proper(_x111), f(proper(_x141), f(f(ok(b), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(f(f(_x131, _x132), _x122), a))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(f(proper(_x131), proper(_x132)), proper(_x122)), ok(a)))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, b), f(f(_x191, _x192), f(_x181, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), ok(b)), f(f(proper(_x191), proper(_x192)), f(proper(_x181), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(_x211, f(_x241, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(proper(_x211), f(proper(_x241), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(a, f(f(f(_x71, _x72), b), _x52)))) → top#(f(ok(a), f(f(f(proper(_x71), proper(_x72)), ok(b)), proper(_x52))))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, f(a, a))))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), f(ok(a), ok(a)))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(_x131, _x132), f(f(b, _x162), f(f(_x191, f(f(a, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(proper(_x191), f(f(ok(a), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(f(b, _x162), f(f(a, b), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), ok(b)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(_x71, _x72), _x62), a), a), b))) → top#(f(f(f(f(f(proper(_x71), proper(_x72)), proper(_x62)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), _x102), f(_x111, f(_x141, f(f(_x191, f(b, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, f(_x171, _x172)), f(f(a, a), f(_x181, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), f(proper(_x171), proper(_x172))), f(f(ok(a), ok(a)), f(proper(_x181), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(a, _x162), f(f(_x191, _x192), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(a), proper(_x162)), f(f(proper(_x191), proper(_x192)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, _x142)))), a), f(a, f(_x91, _x92))), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), proper(_x142))))), ok(a)), f(ok(a), f(proper(_x91), proper(_x92)))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(a, a), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), ok(a)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(f(_x191, f(_x221, a)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(a))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(a, _x142)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(ok(a), proper(_x142))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, a), a), f(_x61, f(_x91, _x92))), a), b))) → top#(f(f(f(f(f(ok(a), ok(a)), ok(a)), f(proper(_x61), f(proper(_x91), proper(_x92)))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(_x71, _x72), f(_x71, _x72)), _x52), a), b))) → top#(f(f(f(f(f(proper(_x71), proper(_x72)), f(proper(_x71), proper(_x72))), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(_x111, f(f(_x161, _x162), f(f(f(_x181, _x182), f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(f(proper(_x181), proper(_x182)), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(f(_x211, _x212), _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(f(proper(_x211), proper(_x212)), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(f(_x151, b), b)), f(_x111, f(f(b, b), f(f(a, _x192), f(b, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(proper(_x151), ok(b)), ok(b))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(ok(b), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, a)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, f(_x241, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), ok(a))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, b), f(_x111, f(_x141, f(f(_x191, f(b, _x222)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), ok(b)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(_x61, a), _x52), a), b))) → top#(f(f(f(f(proper(_x61), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(f(_x151, a), _x132)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(f(proper(_x151), ok(a)), proper(_x132))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(b, a), f(f(a, _x192), f(_x181, f(_x211, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(ok(b), ok(a)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(proper(_x211), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(_x161, _x162), f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(f(_x151, _x152), b)), f(_x111, f(f(b, b), f(f(a, b), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(proper(_x151), proper(_x152)), ok(b))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), ok(b)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(f(_x151, b), b)), f(b, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(proper(_x151), ok(b)), ok(b))), f(ok(b), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(_x111, f(f(b, _x162), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, f(_x171, _x172)), f(f(a, _x192), f(_x181, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), f(proper(_x171), proper(_x172))), f(f(ok(a), proper(_x192)), f(proper(_x181), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, a)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(a, f(a, f(f(_x251, _x252), _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), ok(a))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(ok(a), f(ok(a), f(f(proper(_x251), proper(_x252)), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(_x111, f(f(_x161, _x162), f(f(_x191, f(f(_x241, f(_x221, _x222)), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), f(proper(_x221), proper(_x222))), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(b, _x162), f(f(_x191, _x192), f(b, f(_x211, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(proper(_x211), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, _x112))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(_x51, b), _x42), b))) → top#(f(f(f(proper(_x51), ok(b)), proper(_x42)), ok(b)))top#(mark(f(f(a, f(a, a)), b))) → top#(f(ok(f(a, f(a, a))), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(f(_x181, _x182), _x192), f(b, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(f(proper(_x181), proper(_x182)), proper(_x192)), f(ok(b), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(b, f(_x111, f(f(b, _x162), f(f(_x191, _x192), f(b, f(b, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(ok(b), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, a), f(f(a, a), f(_x181, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), ok(a)), f(f(ok(a), ok(a)), f(proper(_x181), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(_x191, a), f(b, f(_x211, _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), ok(a)), f(ok(b), f(proper(_x211), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(a, f(_x141, f(f(b, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(ok(a), f(proper(_x141), f(f(ok(b), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, _x132)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(b, f(a, f(_x241, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(ok(b), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(_x131, _x132), f(f(b, _x162), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(a, f(f(a, b), f(a, _x62))))) → top#(f(ok(a), f(f(ok(a), ok(b)), f(ok(a), proper(_x62)))))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(a, a), f(_x181, _x182)))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), ok(a)), f(proper(_x181), proper(_x182))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(f(_x191, _x192), b))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), proper(_x192)), ok(b)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(a, _x112))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(ok(a), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(_x141, f(f(f(_x211, _x212), f(b, _x222)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(proper(_x141), f(f(f(proper(_x211), proper(_x212)), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), _x102), f(_x111, f(_x141, f(f(_x191, f(b, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(f(_x161, _x162), f(f(_x191, _x192), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), proper(_x192)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(f(f(_x131, _x132), b), _x112))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(f(proper(_x131), proper(_x132)), ok(b)), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(a, a), f(_x111, _x112))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), ok(a)), f(proper(_x111), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(_x111, f(f(_x161, _x162), f(f(a, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(ok(a), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(f(_x151, b), b)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(proper(_x151), ok(b)), ok(b))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(b, f(_x141, f(f(b, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(ok(b), f(proper(_x141), f(f(ok(b), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(f(b, _x122), _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(ok(b), proper(_x122)), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(_x141, f(f(_x191, f(b, b)), f(_x161, _x162)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), ok(b))), f(proper(_x161), proper(_x162))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(f(_x201, _x202), f(a, f(_x241, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(f(proper(_x201), proper(_x202)), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(_x141, f(_x171, _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), _x102), f(_x111, f(_x141, f(f(f(_x201, _x202), f(_x221, b)), f(_x201, _x202)))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(f(proper(_x201), proper(_x202)), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), _x102), f(_x111, f(b, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), proper(_x102)), f(proper(_x111), f(ok(b), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(a, f(_x171, _x172))))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(ok(a), f(proper(_x171), proper(_x172)))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(a, f(_x171, _x172))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(ok(a), f(proper(_x171), proper(_x172)))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, a), a), f(b, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), ok(a)), ok(a)), f(ok(b), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(f(_x251, _x252), _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(f(proper(_x251), proper(_x252)), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(b, _x192), f(b, f(_x211, _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(b), proper(_x192)), f(ok(b), f(proper(_x211), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), ok(b))))), ok(a)), ok(f(b, b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(a, a), f(a, b)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), ok(a)), f(ok(a), ok(b))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, a)), f(a, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(_x241, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), ok(a))), f(ok(a), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, _x142)))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), proper(_x142))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(a, b), f(_x111, f(_x141, f(f(_x191, f(b, _x222)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), ok(b)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, f(_x151, _x152))))), a), f(a, a)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), f(proper(_x151), proper(_x152)))))), ok(a)), f(ok(a), ok(a))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(f(_x151, b), b)), f(_x111, f(f(b, b), f(f(a, b), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(proper(_x151), ok(b)), ok(b))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), ok(b)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(f(_x131, _x132), f(b, f(f(_x191, f(b, b)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(f(proper(_x131), proper(_x132)), f(ok(b), f(f(proper(_x191), f(ok(b), ok(b))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(f(_x131, _x132), f(b, f(f(_x191, f(b, _x222)), b))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(f(proper(_x131), proper(_x132)), f(ok(b), f(f(proper(_x191), f(ok(b), proper(_x222))), ok(b)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(a, f(f(a, b), b)))) → top#(f(ok(a), f(ok(f(a, b)), proper(_x52))))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, f(b, _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), f(ok(b), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(f(_x131, _x132), _x142)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(f(proper(_x131), proper(_x132)), proper(_x142))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(f(a, b), b)), f(a, f(f(b, b), f(f(a, _x192), f(a, f(a, b))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(ok(a), ok(b)), ok(b))), f(ok(a), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), ok(f(a, b)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(f(_x151, f(_x161, _x162)), b)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(proper(_x151), f(proper(_x161), proper(_x162))), ok(b))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(a, a), f(_x181, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(ok(f(a, a)), f(proper(_x181), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(f(b, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(f(ok(b), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(f(_x151, _x152), b)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, a))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(f(proper(_x151), proper(_x152)), ok(b))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), ok(a)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), f(f(_x161, f(_x171, _x172)), f(f(_x191, _x192), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), f(f(proper(_x161), f(proper(_x171), proper(_x172))), f(f(proper(_x191), proper(_x192)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(_x111, f(_x141, b)))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(proper(_x111), f(proper(_x141), ok(b))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(f(_x131, _x132), f(b, f(f(_x191, f(b, f(_x201, _x202))), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(f(proper(_x131), proper(_x132)), f(ok(b), f(f(proper(_x191), f(ok(b), f(proper(_x201), proper(_x202)))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(a, f(_x131, _x132)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(f(_x211, _x212), _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(f(proper(_x211), proper(_x212)), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, b))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), ok(b)))), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(_x111, f(_x141, f(f(_x191, f(f(f(_x221, _x222), _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(f(proper(_x221), proper(_x222)), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(f(_x141, _x142), _x132), f(f(b, a), f(f(a, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(f(proper(_x141), proper(_x142)), proper(_x132)), f(f(ok(b), ok(a)), f(f(ok(a), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(a, f(_x171, _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(ok(a), f(proper(_x171), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, _x72), a), a), a), b))) → top#(f(f(f(f(f(ok(a), proper(_x72)), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(_x161, _x162), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(_x161, _x162), f(f(_x191, f(_x221, b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(proper(_x221), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(a, b), f(_x181, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), ok(b)), f(proper(_x181), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(b)) → top#(ok(b))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(b, f(_x151, a))))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(ok(b), f(proper(_x151), ok(a)))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(_x161, _x162), f(f(b, _x192), f(_x181, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(ok(b), proper(_x192)), f(proper(_x181), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(a, _x192), f(b, f(_x211, _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(ok(b), f(proper(_x211), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(f(_x231, _x232), _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(f(proper(_x231), proper(_x232)), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(a, _x132), f(f(b, _x162), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(ok(a), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(f(a, b), b)), f(a, f(f(b, b), f(f(a, a), f(_x181, f(a, b))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(ok(a), ok(b)), ok(b))), f(ok(a), f(f(ok(b), ok(b)), f(f(ok(a), ok(a)), f(proper(_x181), f(ok(a), ok(b)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(_x111, f(f(b, _x162), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(_x131, _x132), f(f(b, _x162), f(f(a, f(f(b, _x242), b)), a))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(ok(b), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, b), f(_x141, _x142)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), ok(b)), f(proper(_x141), proper(_x142))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, b), f(f(_x191, _x192), f(b, f(_x211, a))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), ok(b)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(proper(_x211), ok(a)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, _x132)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(_x241, f(_x251, _x252))))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(proper(_x241), f(proper(_x251), proper(_x252)))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(a, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(ok(a), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(_x191, a), f(b, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), ok(a)), f(ok(b), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(f(_x131, _x132), f(_x141, f(f(_x191, f(b, f(_x201, _x202))), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(f(proper(_x131), proper(_x132)), f(proper(_x141), f(f(proper(_x191), f(ok(b), f(proper(_x201), proper(_x202)))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(_x111, f(b, f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(proper(_x111), f(ok(b), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(a, a), f(a, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(ok(f(a, a)), f(ok(a), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(_x161, _x162), f(f(b, _x192), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(ok(b), proper(_x192)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(_x131, _x132), f(f(b, _x162), f(f(a, f(f(_x241, _x242), b)), a))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(b, f(_x221, _x222)), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(ok(b), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(f(a, b), b)), f(a, f(f(b, b), f(f(a, _x192), f(_x181, f(a, a))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(ok(a), ok(b)), ok(b))), f(ok(a), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), ok(a)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(f(_x171, _x172), _x162), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(f(proper(_x171), proper(_x172)), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(_x191, _x192), f(b, _x182)))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), proper(_x182))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(_x141, _x142)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(proper(_x141), proper(_x142))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(a, f(_x141, _x142)))), a), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(a), f(proper(_x141), proper(_x142))))), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(a, f(_x141, f(_x171, _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(ok(a), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, _x112))), a), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), proper(_x112)))), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, a)), f(_x111, f(f(b, _x162), f(f(a, a), f(_x181, f(a, f(_x241, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), ok(a))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), ok(a)), f(proper(_x181), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(f(_x151, _x152), b)), f(b, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(f(proper(_x151), proper(_x152)), ok(b))), f(ok(b), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(a, f(f(b, b), b)))) → top#(f(ok(a), f(f(ok(b), ok(b)), ok(b))))
top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), f(f(b, _x162), f(f(a, _x192), f(_x181, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(_x191, _x192), f(_x181, _x182)))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(proper(_x181), proper(_x182))))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), f(f(b, _x162), f(f(a, _x192), f(_x181, f(_x211, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(proper(_x211), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), b))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), ok(b)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, a), _x62), _x52), a), b))) → top#(f(f(f(f(f(ok(a), ok(a)), proper(_x62)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(f(_x131, f(_x141, _x142)), f(_x141, f(f(_x191, f(b, _x222)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(f(proper(_x131), f(proper(_x141), proper(_x142))), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(f(f(_x211, _x212), _x192), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(f(f(proper(_x211), proper(_x212)), proper(_x192)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(_x141, f(f(_x191, f(b, f(_x251, _x252))), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), f(proper(_x251), proper(_x252)))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, a), a), f(f(_x81, _x82), _x62)), a), b))) → top#(f(f(f(f(f(ok(a), ok(a)), ok(a)), f(f(proper(_x81), proper(_x82)), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(f(_x151, _x152), b)), f(_x111, f(f(b, b), f(f(a, f(_x201, _x202)), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(f(proper(_x151), proper(_x152)), ok(b))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), f(proper(_x201), proper(_x202))), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(_x161, b), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(proper(_x161), ok(b)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(f(b, _x162), f(f(a, a), f(_x181, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(f(ok(b), proper(_x162)), f(f(ok(a), ok(a)), f(proper(_x181), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, b))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), ok(b)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, _x122), f(a, _x142)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), proper(_x122)), f(ok(a), proper(_x142))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), _x102), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), proper(_x102)), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(_x171, a))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(proper(_x171), ok(a)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(_x191, _x192), f(_x181, a)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(proper(_x181), ok(a))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(_x131, _x132), f(f(b, a), f(f(a, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), ok(a)), f(f(ok(a), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(a, a), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), ok(a)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(b, f(_x171, _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(ok(b), f(proper(_x171), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(b, f(f(_x191, f(f(_x241, _x242), b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(ok(b), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(f(_x141, _x142), _x132), f(f(b, _x162), f(f(a, f(f(a, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(f(proper(_x141), proper(_x142)), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(ok(a), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(f(b, b), f(f(a, f(_x201, _x202)), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), f(proper(_x201), proper(_x202))), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(_x161, _x162), f(f(f(_x181, _x182), _x192), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(f(proper(_x181), proper(_x182)), proper(_x192)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(b, _x162), f(f(a, f(_x201, _x202)), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), f(proper(_x201), proper(_x202))), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(_x171, _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, f(_x151, _x152))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), f(proper(_x151), proper(_x152)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(_x111, f(_x141, f(f(_x191, f(f(_x241, b), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), ok(b)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(b, _x112))), a), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), proper(_x112)))), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), f(f(_x161, _x162), f(f(_x191, _x192), _x172))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), proper(_x192)), proper(_x172)))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(_x191, _x192), f(b, f(a, _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(ok(a), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(a, f(_x141, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(a), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, a), f(_x111, f(f(b, _x162), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), ok(a)), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, b), f(_x141, b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), ok(b)), f(proper(_x141), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), f(_x141, b)))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), f(proper(_x141), ok(b))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(_x211, a))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(proper(_x211), ok(a)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(a, f(f(_x161, _x162), f(f(_x191, _x192), f(_x181, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(a), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(proper(_x181), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(f(_x131, _x132), f(b, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(ok(b), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(_x211, _x212))))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(proper(_x211), proper(_x212)))))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, a)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), ok(a))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(f(_x151, _x152), b)), f(_x111, f(f(b, b), f(f(a, _x192), f(a, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(f(proper(_x151), proper(_x152)), ok(b))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(ok(a), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(f(_x151, _x152), _x132)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, f(_x241, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(f(proper(_x151), proper(_x152)), proper(_x132))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(f(f(_x141, _x142), b), b)), f(a, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(f(proper(_x141), proper(_x142)), ok(b)), ok(b))), f(ok(a), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), f(f(b, _x162), f(f(_x191, _x192), f(b, f(f(_x221, _x222), _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(f(proper(_x221), proper(_x222)), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, a)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(a))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, a), f(f(_x131, _x132), f(f(b, _x162), f(f(a, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), ok(a)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(f(_x151, _x152), _x132)), f(_x111, f(f(b, b), f(f(a, a), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(f(proper(_x151), proper(_x152)), proper(_x132))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), ok(a)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(f(_x151, f(_x161, _x162)), b)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(f(proper(_x151), f(proper(_x161), proper(_x162))), ok(b))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(f(_x191, _x192), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), proper(_x192)), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(f(b, b), b)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(f(proper(_x151), proper(_x152)), ok(b))), f(proper(_x111), f(ok(f(b, b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(f(b, _x162), f(f(_x191, _x192), f(b, f(_x211, _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(proper(_x211), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), f(a, _x142)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), f(ok(a), proper(_x142))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(a, f(f(_x191, f(b, _x222)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(ok(a), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(b, _x222)), b))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), ok(b)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(_x61, _x62), f(_x61, _x62)), a), b))) → top#(f(f(f(f(proper(_x61), proper(_x62)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(_x111, f(_x141, b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(proper(_x111), f(proper(_x141), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(_x191, f(_x201, _x202)), f(b, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), f(proper(_x201), proper(_x202))), f(ok(b), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(b, f(_x111, f(_x141, f(_x171, _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(proper(_x111), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), f(f(_x151, _x152), b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), f(f(proper(_x151), proper(_x152)), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x111, _x112)), f(_x111, f(_x141, f(_x171, _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x111), proper(_x112))), f(proper(_x111), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(b, f(_x171, _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(ok(b), f(proper(_x171), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(b, f(_x111, f(f(b, b), f(f(_x191, _x192), f(b, f(_x211, _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(proper(_x111), f(f(ok(b), ok(b)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(proper(_x211), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(a, f(f(b, _x162), f(f(_x191, _x192), f(_x181, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(a), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(proper(_x181), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(_x161, _x162), f(f(_x191, b), f(_x181, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), ok(b)), f(proper(_x181), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(f(b, _x122), a))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(ok(b), proper(_x122)), ok(a)))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(_x111, f(_x141, f(f(_x191, f(b, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(_x111, f(f(b, _x162), f(f(f(_x181, _x182), f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(f(proper(_x181), proper(_x182)), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(f(a, _x132), f(b, f(f(_x191, f(b, _x222)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(f(ok(a), proper(_x132)), f(ok(b), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(_x161, _x162), f(f(_x191, _x192), f(_x181, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(proper(_x181), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(b, f(a, f(f(_x131, b), b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(ok(a), f(f(proper(_x131), ok(b)), ok(b))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), _x102), f(_x111, f(a, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), proper(_x102)), f(proper(_x111), f(ok(a), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), b), f(f(_x131, _x132), f(_x141, f(f(_x191, f(b, _x222)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), ok(b)), f(f(proper(_x131), proper(_x132)), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(f(_x131, _x132), f(_x141, f(f(_x191, f(f(_x241, _x242), b)), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(f(_x121, a), _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), ok(a)), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, f(_x171, _x172)), f(f(a, _x192), f(_x181, f(_x211, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), f(proper(_x171), proper(_x172))), f(f(ok(a), proper(_x192)), f(proper(_x181), f(proper(_x211), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(_x141, f(f(f(_x161, _x162), f(b, b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(proper(_x141), f(f(f(proper(_x161), proper(_x162)), f(ok(b), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, a), f(_x111, f(_x141, b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), ok(a)), f(proper(_x111), f(proper(_x141), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, f(b, _x152))))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), f(ok(b), proper(_x152)))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, a), f(_x141, b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), ok(a)), f(proper(_x141), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(a, a), f(a, a)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), ok(a)), f(ok(a), ok(a))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(a, _x192), f(a, f(_x211, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(ok(a), f(proper(_x211), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(_x131, _x132), f(f(b, _x162), f(f(b, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(b), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(_x161, _x162), _x142)))), a), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(proper(_x161), proper(_x162)), proper(_x142))))), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, _x112))), a), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), proper(_x112)))), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, _x122), f(_x141, f(_x151, _x152))))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), proper(_x122)), f(proper(_x141), f(proper(_x151), proper(_x152)))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(a, f(f(b, _x162), f(f(_x191, _x192), f(b, f(_x211, _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(a), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(proper(_x211), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(b, f(_x171, _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(ok(b), f(proper(_x171), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(_x161, _x162), f(f(_x191, _x192), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), proper(_x192)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(a, f(f(_x61, _x62), a)))) → top#(f(ok(a), f(f(proper(_x61), proper(_x62)), ok(a))))top#(mark(f(f(f(f(f(a, f(_x81, f(a, f(_x141, _x142)))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(a), f(proper(_x141), proper(_x142))))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(f(_x151, _x152), b)), f(_x111, f(f(b, b), f(f(a, b), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(f(proper(_x151), proper(_x152)), ok(b))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), ok(b)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(_x191, _x192), f(b, f(f(_x221, _x222), _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(f(proper(_x221), proper(_x222)), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, _x82)), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), proper(_x82))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, b), f(f(_x191, _x192), f(b, f(_x211, _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(ok(f(b, b)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(proper(_x211), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(b, _x162), f(f(_x191, _x192), f(_x181, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(proper(_x181), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), _x102), f(a, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), proper(_x102)), f(ok(a), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(a, f(b, a)))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(a), f(ok(b), ok(a))))), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(_x61, _x62), _x52), _x42), b))) → top#(f(f(f(f(proper(_x61), proper(_x62)), proper(_x52)), proper(_x42)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(f(b, _x162), f(f(a, f(_x201, _x202)), f(_x181, f(a, f(_x241, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), f(proper(_x201), proper(_x202))), f(proper(_x181), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), _x112))), a), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), proper(_x112)))), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(f(b, b), b)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(proper(_x151), proper(_x152)), ok(b))), f(proper(_x111), f(ok(f(b, b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(a, f(a, a)))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(a), f(ok(a), ok(a))))), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(a, f(f(_x191, f(_x221, b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(ok(a), f(f(proper(_x191), f(proper(_x221), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, _x132)), f(_x111, f(f(b, _x162), f(f(a, b), f(_x181, f(a, f(_x241, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), ok(b)), f(proper(_x181), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, a)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), ok(a))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, b), f(f(_x131, _x132), f(b, f(f(_x191, f(b, _x222)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), ok(b)), f(f(proper(_x131), proper(_x132)), f(ok(b), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(a, f(_x141, f(f(_x191, f(b, b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(ok(a), f(proper(_x141), f(f(proper(_x191), f(ok(b), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(a, f(f(_x161, _x162), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(ok(a), f(f(proper(_x161), proper(_x162)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(b, _x112))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(b), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(a, f(_x141, b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(a), f(proper(_x141), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, b), f(b, _x142)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), ok(b)), f(ok(b), proper(_x142))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(_x191, _x192), f(b, f(f(a, _x222), _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(f(ok(a), proper(_x222)), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(_x171, _x172))))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, a)), f(_x111, f(f(b, _x162), f(f(a, f(_x201, _x202)), f(_x181, f(a, f(_x241, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), ok(a))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), f(proper(_x201), proper(_x202))), f(proper(_x181), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, b)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), ok(b))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(b, f(b, f(a, f(_x171, a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(ok(b), f(ok(a), f(proper(_x171), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, a)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), ok(a))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(_x191, b), f(b, f(_x211, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), ok(b)), f(ok(b), f(proper(_x211), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(_x111, f(_x141, f(f(a, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(ok(a), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), f(f(_x161, _x162), f(f(_x191, f(_x181, _x182)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(proper(_x181), proper(_x182))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, a)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(_x241, a)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), ok(a))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(proper(_x241), ok(a))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), f(_x141, _x142)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), f(proper(_x141), proper(_x142))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(_x141, _x142)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(proper(_x141), proper(_x142))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(f(b, _x132), f(_x141, f(f(_x191, f(b, _x222)), f(_x181, _x182)))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(f(ok(b), proper(_x132)), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), f(proper(_x181), proper(_x182))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(f(_x151, _x152), f(_x161, _x162))), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(f(proper(_x151), proper(_x152)), f(proper(_x161), proper(_x162)))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(f(_x131, _x132), f(_x141, f(f(f(_x171, _x172), f(b, _x222)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(f(proper(_x131), proper(_x132)), f(proper(_x141), f(f(f(proper(_x171), proper(_x172)), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(b, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(ok(b), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(f(b, _x162), f(f(a, f(_x201, _x202)), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), f(proper(_x201), proper(_x202))), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(f(a, b), f(_x121, f(_x151, _x152))))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(ok(a), ok(b)), f(proper(_x121), f(proper(_x151), proper(_x152)))))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, a)), f(_x111, f(f(b, a), f(f(a, _x192), f(_x181, f(a, f(_x241, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), ok(a))), f(proper(_x111), f(f(ok(b), ok(a)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(_x111, f(f(b, f(_x171, _x172)), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(proper(_x111), f(f(ok(b), f(proper(_x171), proper(_x172))), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(a, f(f(b, b), f(_x61, _x62))))) → top#(f(ok(a), f(f(ok(b), ok(b)), f(proper(_x61), proper(_x62)))))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(b, f(a, f(f(_x131, _x132), b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(ok(a), f(f(proper(_x131), proper(_x132)), ok(b))))), ok(a)), ok(f(b, b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(_x131, _x132), f(f(b, _x162), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(_x131, _x132), f(f(b, _x162), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, _x122), f(b, _x142)))), a), f(a, a)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), proper(_x122)), f(ok(b), proper(_x142))))), ok(a)), f(ok(a), ok(a))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(_x131, _x132), f(f(b, _x162), f(f(a, f(f(_x241, f(_x211, _x212)), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(proper(_x241), f(proper(_x211), proper(_x212))), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(f(b, b), f(f(a, _x192), f(f(_x201, _x202), f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(f(proper(_x201), proper(_x202)), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(f(a, _x122), f(_x141, _x142)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(ok(a), proper(_x122)), f(proper(_x141), proper(_x142))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(_x191, _x192), f(b, f(b, _x212))))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(ok(b), proper(_x212)))))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, f(_x171, a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), f(proper(_x171), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x121, a)))), a), b), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x121), ok(a))))), ok(a)), ok(b)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(f(_x121, f(_x151, _x152)), _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), f(proper(_x151), proper(_x152))), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, a)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(f(a, _x252), _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), ok(a))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(f(ok(a), proper(_x252)), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, b), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), ok(b)), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(a, f(_x141, f(_x171, _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(a), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, _x142)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), proper(_x142))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(f(b, _x132), f(f(_x151, _x152), f(f(_x191, f(b, _x222)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(f(ok(b), proper(_x132)), f(f(proper(_x151), proper(_x152)), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), f(_x131, _x132)), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), f(proper(_x131), proper(_x132))), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, f(_x211, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), f(proper(_x211), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(a, b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(ok(a), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(_x71, a), _x62), _x52), a), b))) → top#(f(f(f(f(f(proper(_x71), ok(a)), proper(_x62)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(_x171, f(_x201, _x202)))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(proper(_x171), f(proper(_x201), proper(_x202))))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x121, _x122)))), a), b), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x121), proper(_x122))))), ok(a)), ok(b)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(a, _x162), f(f(_x191, _x192), f(_x181, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(a), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(proper(_x181), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(_x111, f(_x141, f(_x171, _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(proper(_x111), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(b, f(_x111, f(_x141, f(_x171, _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(proper(_x111), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(f(b, b), b)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(ok(b), ok(b)), ok(b))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(f(b, _x122), f(_x141, _x142)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(ok(b), proper(_x122)), f(proper(_x141), proper(_x142))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, a), _x112))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), ok(a)), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(b, f(f(b, _x162), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(ok(b), f(f(ok(b), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(_x131, _x132), f(f(b, _x162), f(f(_x191, f(f(_x241, f(_x211, _x212)), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), f(proper(_x211), proper(_x212))), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(b, f(f(_x191, f(a, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(ok(b), f(f(proper(_x191), f(ok(a), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, _x222)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), proper(_x222))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, f(_x151, f(_x161, _x162)))))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), f(proper(_x151), f(proper(_x161), proper(_x162))))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(b, f(f(_x131, _x132), f(f(_x161, _x162), f(f(_x191, _x192), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(f(proper(_x131), proper(_x132)), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), proper(_x192)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(b, f(f(_x241, _x242), b)), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(ok(b), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(a, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(ok(a), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(_x131, f(_x141, _x142)), f(f(b, _x162), f(f(a, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(proper(_x131), f(proper(_x141), proper(_x142))), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(b, f(_x111, f(_x141, f(f(_x191, _x192), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), proper(_x192)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(f(f(_x141, _x142), _x132), f(_x141, b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(f(proper(_x141), proper(_x142)), proper(_x132)), f(proper(_x141), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(f(b, _x162), f(f(_x191, _x192), f(_x181, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(proper(_x181), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(a, f(_x121, a)))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(a), f(proper(_x121), ok(a))))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(b, _x162), f(f(a, b), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), ok(b)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(_x131, _x132), f(f(b, _x162), f(f(a, f(f(_x241, _x242), b)), a))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(f(_x151, b), b)), f(a, f(f(b, b), f(f(a, _x192), f(a, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(proper(_x151), ok(b)), ok(b))), f(ok(a), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(ok(a), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(_x111, f(_x141, f(f(b, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(ok(b), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(_x111, f(_x141, f(_x171, _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(proper(_x111), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(f(a, b), b)), f(a, f(f(b, b), f(f(a, f(_x181, _x182)), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(ok(a), ok(b)), ok(b))), f(ok(a), f(f(ok(b), ok(b)), f(f(ok(a), f(proper(_x181), proper(_x182))), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(a, f(f(_x191, _x192), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(ok(a), f(f(proper(_x191), proper(_x192)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(f(_x191, _x192), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), proper(_x192)), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, a)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(a, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), ok(a))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(ok(a), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(b, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(ok(b), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(_x111, f(f(b, _x162), f(f(a, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, _x132)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(b, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(ok(b), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, a)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(b, f(a, f(f(_x251, _x252), _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), ok(a))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(ok(b), f(ok(a), f(f(proper(_x251), proper(_x252)), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(_x131, b), f(f(b, _x162), f(f(a, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(proper(_x131), ok(b)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(a, _x192), f(f(_x201, _x202), f(_x211, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(f(proper(_x201), proper(_x202)), f(proper(_x211), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(b, f(_x171, _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(ok(b), f(proper(_x171), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(b, _x162), f(f(_x191, _x192), f(b, f(b, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(ok(b), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(_x111, f(b, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(proper(_x111), f(ok(b), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(a, f(_x51, a)))) → top#(f(ok(a), f(proper(_x51), ok(a))))top#(mark(f(f(f(f(f(a, f(_x81, f(f(a, _x132), f(f(_x161, _x162), f(f(_x191, _x192), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(ok(a), proper(_x132)), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), proper(_x192)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(a, f(a, f(f(f(_x101, _x102), _x92), _x82))), b))) → top#(f(f(ok(a), f(ok(a), f(f(f(proper(_x101), proper(_x102)), proper(_x92)), proper(_x82)))), ok(b)))top#(mark(f(a, f(f(a, _x62), _x52)))) → top#(f(ok(a), f(f(ok(a), proper(_x62)), proper(_x52))))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(f(_x141, _x142), _x132), f(f(b, _x162), f(f(a, f(f(_x241, _x242), b)), a))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(f(proper(_x141), proper(_x142)), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(_x161, _x162), f(f(_x191, _x192), b))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), proper(_x192)), ok(b)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(_x131, _x132), f(f(b, _x162), f(f(a, f(f(b, _x242), b)), a))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(ok(b), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(_x131, _x132), f(f(b, _x162), f(f(_x191, f(f(_x241, a), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), ok(a)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(b, _x112))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), proper(_x112)))), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(_x211, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(proper(_x211), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(b, f(f(f(_x181, _x182), f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(ok(b), f(f(f(proper(_x181), proper(_x182)), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(b, f(_x221, a)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(ok(b), f(proper(_x221), ok(a))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(a, f(_x221, b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(ok(a), f(proper(_x221), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(_x71, _x72), a), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(proper(_x71), proper(_x72)), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(_x191, a), f(b, f(b, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), ok(a)), f(ok(b), f(ok(b), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(_x141, f(f(_x191, f(b, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(_x141, f(f(_x191, f(b, a)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), ok(a))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(_x161, a), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(proper(_x161), ok(a)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(f(a, b), b)), f(a, f(f(b, b), f(f(a, _x192), f(b, f(a, b))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(ok(a), ok(b)), ok(b))), f(ok(a), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(ok(b), f(ok(a), ok(b)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(b, f(_x111, f(a, b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(proper(_x111), f(ok(a), ok(b))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(a, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(a), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, _x132)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(_x241, _x242)))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, _x182)))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), proper(_x182))))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(_x171, _x172))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(_x161, b), f(f(_x191, _x192), f(_x181, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(proper(_x161), ok(b)), f(f(proper(_x191), proper(_x192)), f(proper(_x181), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(_x191, _x192), f(b, f(b, _x212))))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(ok(b), proper(_x212)))))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(b, f(_x111, f(f(a, _x132), b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(proper(_x111), f(f(ok(a), proper(_x132)), ok(b))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(_x191, _x192), f(b, _x182)))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), proper(_x182))))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, a), a), f(a, b)), a), b))) → top#(f(f(f(f(ok(f(a, a)), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, _x132)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(a, f(a, f(_x241, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(ok(a), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, _x142)))), a), f(a, f(_x91, _x92))), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), proper(_x142))))), ok(a)), f(ok(a), f(proper(_x91), proper(_x92)))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(_x161, _x162), b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(proper(_x161), proper(_x162)), ok(b))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(_x131, _x132), f(_x171, _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(proper(_x131), proper(_x132)), f(proper(_x171), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, b), f(f(_x191, b), f(b, f(_x211, _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), ok(b)), f(f(proper(_x191), ok(b)), f(ok(b), f(proper(_x211), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(a, _x132)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(ok(a), proper(_x132))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(b, _x162), f(f(a, _x192), f(b, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(ok(b), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, a)), f(_x111, f(f(b, f(_x171, _x172)), f(f(a, _x192), f(_x181, f(a, f(_x241, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), ok(a))), f(proper(_x111), f(f(ok(b), f(proper(_x171), proper(_x172))), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, _x122), _x112))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), proper(_x122)), proper(_x112)))), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, f(a, _x152))))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), f(ok(a), proper(_x152)))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(f(b, b), f(f(_x191, _x192), f(b, f(_x211, _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(f(ok(b), ok(b)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(proper(_x211), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(a, f(a, f(_x61, _x62))))) → top#(f(ok(a), f(ok(a), f(proper(_x61), proper(_x62)))))
top#(mark(f(f(f(f(f(_x71, f(_x81, _x82)), a), _x52), a), b))) → top#(f(f(f(f(f(proper(_x71), f(proper(_x81), proper(_x82))), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(f(_x131, b), f(_x141, f(f(_x191, f(b, _x222)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(f(proper(_x131), ok(b)), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(a, f(_x151, a))))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(ok(a), f(proper(_x151), ok(a)))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), _x172))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), proper(_x172)))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(_x61, _x62), a), a), b))) → top#(f(f(f(f(proper(_x61), proper(_x62)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, _x142)))), a), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), proper(_x142))))), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(_x171, b))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(proper(_x171), ok(b)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(f(b, _x162), f(f(_x191, _x192), f(b, f(_x211, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(proper(_x211), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(_x141, f(f(_x191, f(b, _x222)), f(_x201, _x202)))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), f(proper(_x201), proper(_x202))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(a, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(ok(a), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(b, f(a, f(_x171, _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(b), f(ok(a), f(proper(_x171), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, _x132)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(_x241, _x242)))))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(a, f(b, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(ok(a), f(ok(b), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(_x111, f(_x141, f(_x171, _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(proper(_x111), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(f(b, _x122), _x112))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(ok(b), proper(_x122)), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(_x111, f(f(f(_x171, _x172), _x162), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(proper(_x111), f(f(f(proper(_x171), proper(_x172)), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), _x102), f(_x111, f(b, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), proper(_x102)), f(proper(_x111), f(ok(b), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(a, f(f(_x161, _x162), f(f(_x191, _x192), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(a), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), proper(_x192)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(_x111, f(_x141, b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(proper(_x111), f(proper(_x141), ok(b))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(_x211, _x212))))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(proper(_x211), proper(_x212)))))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(b, f(a, f(f(a, _x132), b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(ok(a), f(f(ok(a), proper(_x132)), ok(b))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(b, _x82)), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), proper(_x82))), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(f(f(_x161, _x162), _x152), b)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(f(f(proper(_x161), proper(_x162)), proper(_x152)), ok(b))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, a)), f(f(_x131, _x132), f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(_x241, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), ok(a))), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(f(_x191, f(b, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(_x131, _x132), f(f(b, _x162), f(f(a, f(f(_x241, a), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(proper(_x241), ok(a)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(f(b, _x162), f(f(_x191, _x192), f(b, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), b), f(f(b, _x132), f(_x141, f(f(_x191, f(b, _x222)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), ok(b)), f(f(ok(b), proper(_x132)), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(f(b, _x162), f(f(_x191, _x192), f(_x181, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(proper(_x181), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(a, f(f(_x141, _x142), a)))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(a), f(f(proper(_x141), proper(_x142)), ok(a))))), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(f(b, b), _x112))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(ok(b), ok(b)), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(a, f(_x51, f(_x61, _x62))))) → top#(f(ok(a), f(proper(_x51), f(proper(_x61), proper(_x62)))))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(_x111, f(f(_x161, _x162), f(f(_x191, f(f(_x241, a), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), ok(a)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(a, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(ok(a), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(_x161, _x162), f(f(_x191, _x192), _x172))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), proper(_x192)), proper(_x172)))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(_x191, f(_x201, _x202)), f(b, f(_x211, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), f(proper(_x201), proper(_x202))), f(ok(b), f(proper(_x211), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(f(_x141, _x142), a)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(_x241, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(proper(_x141), proper(_x142)), ok(a))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(f(_x151, b), b)), f(a, f(f(b, b), f(f(a, _x192), f(b, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(proper(_x151), ok(b)), ok(b))), f(ok(a), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(ok(b), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), ok(f(a, b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(f(_x211, _x212), f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(f(proper(_x211), proper(_x212)), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(f(_x111, _x112), _x102), f(_x111, f(_x141, b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x111), proper(_x112)), proper(_x102)), f(proper(_x111), f(proper(_x141), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(a, f(_x141, f(f(_x191, _x192), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(a), f(proper(_x141), f(f(proper(_x191), proper(_x192)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(f(_x151, _x152), _x132)), f(_x111, f(f(b, b), f(f(a, f(_x201, _x202)), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(f(proper(_x151), proper(_x152)), proper(_x132))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), f(proper(_x201), proper(_x202))), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(f(a, _x122), _x112))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(ok(a), proper(_x122)), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, a)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(a, f(a, f(_x241, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), ok(a))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(ok(a), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(ok(b)) → top#(mark(a))top#(mark(f(a, b))) → top#(f(ok(a), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(_x111, f(_x141, f(f(_x191, f(f(_x241, f(_x231, _x232)), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), f(proper(_x231), proper(_x232))), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(_x51, a), a), b))) → top#(f(f(f(proper(_x51), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(a, f(_x141, _x142)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(a), f(proper(_x141), proper(_x142))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, b), f(f(_x161, _x162), f(f(_x191, _x192), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), ok(b)), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), proper(_x192)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(_x191, _x192), f(b, f(_x211, f(_x221, _x222)))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(proper(_x211), f(proper(_x221), proper(_x222))))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x111, _x112)), f(_x111, f(_x141, b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x111), proper(_x112))), f(proper(_x111), f(proper(_x141), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(f(a, b), b))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(f(a, b)), ok(b)))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(f(_x141, _x142), _x132), f(f(b, _x162), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(f(proper(_x141), proper(_x142)), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(_x111, f(f(_x161, _x162), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(_x211, _x212))))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(proper(_x211), proper(_x212)))))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, _x222)), b))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), proper(_x222))), ok(b)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, b), f(f(a, a), f(a, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), ok(a)), f(ok(a), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(f(_x81, _x82), _x72), _x62), _x52), a), b))) → top#(f(f(f(f(f(f(proper(_x81), proper(_x82)), proper(_x72)), proper(_x62)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(_x191, _x192), f(b, f(f(b, _x222), _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(f(ok(b), proper(_x222)), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x121, _x122)))), a), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x121), proper(_x122))))), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, b), f(f(_x191, _x192), f(b, f(_x211, b))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), ok(b)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(proper(_x211), ok(b)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(a, f(f(_x61, b), b)))) → top#(f(ok(a), f(f(proper(_x61), ok(b)), ok(b))))top#(mark(f(f(f(f(f(a, f(a, f(a, f(_x141, f(_x151, _x152))))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(a), f(proper(_x141), f(proper(_x151), proper(_x152)))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(a, b), f(f(_x131, _x132), f(b, f(f(_x191, f(b, _x222)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), ok(b)), f(f(proper(_x131), proper(_x132)), f(ok(b), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), f(f(b, _x162), f(f(_x191, _x192), f(b, f(_x211, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(proper(_x211), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(_x191, a), f(b, f(f(_x221, _x222), _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), ok(a)), f(ok(b), f(f(proper(_x221), proper(_x222)), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x121, _x122)))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x121), proper(_x122))))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(f(_x151, b), b)), f(a, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(proper(_x151), ok(b)), ok(b))), f(ok(a), f(ok(f(b, b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(_x161, _x162), _x142)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(proper(_x161), proper(_x162)), proper(_x142))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))top#(mark(f(b, f(b, _x52)))) → top#(f(ok(b), f(ok(b), proper(_x52))))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, b), f(f(_x191, f(_x201, _x202)), f(b, f(_x211, _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), ok(b)), f(f(proper(_x191), f(proper(_x201), proper(_x202))), f(ok(b), f(proper(_x211), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(a, f(b, _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(ok(a), f(ok(b), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(b, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(ok(b), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(_x111, f(f(b, _x162), f(f(_x191, f(f(_x241, a), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), ok(a)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(b, _x162), f(f(_x191, _x192), f(b, f(_x211, _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(proper(_x211), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(f(_x141, _x142), a), f(f(b, _x162), f(f(a, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(f(proper(_x141), proper(_x142)), ok(a)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, f(_x171, _x172)), f(f(_x191, _x192), f(b, f(b, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), f(proper(_x171), proper(_x172))), f(f(proper(_x191), proper(_x192)), f(ok(b), f(ok(b), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(_x111, f(_x141, f(f(a, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(proper(_x111), f(proper(_x141), f(f(ok(a), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, _x132)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(f(_x201, _x202), f(a, f(_x241, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(f(proper(_x201), proper(_x202)), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(_x131, _x132), f(f(b, _x162), f(f(a, f(f(b, f(_x211, _x212)), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(ok(b), f(proper(_x211), proper(_x212))), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(a, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(ok(a), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(f(_x151, _x152), b)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, b))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(f(proper(_x151), proper(_x152)), ok(b))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), ok(b)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(a, f(_x141, f(f(_x191, f(_x221, b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(ok(a), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(f(a, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(ok(a), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(ok(f(_x21, _x22))) → top#(f(active(_x21), _x22))
top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), _x102), f(_x111, f(f(_x161, _x162), f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), proper(_x102)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(f(_x111, _x112), a), f(_x111, _x112))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x111), proper(_x112)), ok(a)), f(proper(_x111), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, b)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), ok(b))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(_x51, f(_x61, _x62)), a), b))) → top#(f(f(f(proper(_x51), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(f(b, _x132), f(_x141, f(f(_x191, f(b, _x222)), a))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(f(ok(b), proper(_x132)), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), ok(a)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, f(_x141, _x142)), f(f(_x161, _x162), f(f(_x191, _x192), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), f(proper(_x141), proper(_x142))), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), proper(_x192)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(f(_x211, _x212), f(_x221, b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(f(proper(_x211), proper(_x212)), f(proper(_x221), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(f(a, b), b)), f(a, f(f(b, b), f(f(a, a), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(ok(a), ok(b)), ok(b))), f(ok(a), f(f(ok(b), ok(b)), f(f(ok(a), ok(a)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(_x111, f(f(b, _x162), f(f(_x191, f(f(_x241, b), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), ok(b)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, a))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), ok(a)))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(f(_x201, _x202), f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(f(proper(_x201), proper(_x202)), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(a, f(_x141, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(ok(a), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(_x191, _x192), f(b, f(f(f(_x231, _x232), _x222), _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(f(f(proper(_x231), proper(_x232)), proper(_x222)), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, b)))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), ok(b))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(f(_x111, _x112), _x102), f(_x111, f(_x141, f(_x171, _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x111), proper(_x112)), proper(_x102)), f(proper(_x111), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(_x191, _x192), f(b, f(f(_x221, f(_x231, _x232)), _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(f(proper(_x221), f(proper(_x231), proper(_x232))), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(f(_x151, b), _x132)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(f(proper(_x151), ok(b)), proper(_x132))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, _x72), a), b), a), b))) → top#(f(f(f(f(f(ok(a), proper(_x72)), ok(a)), ok(b)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, a), f(_x141, _x142)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), ok(a)), f(proper(_x141), proper(_x142))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(_x131, _x132), f(f(b, _x162), f(f(f(_x171, _x172), f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(f(proper(_x171), proper(_x172)), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, a)), f(_x111, f(f(b, a), f(f(a, _x192), f(_x181, f(a, f(f(_x251, _x252), _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), ok(a))), f(proper(_x111), f(f(ok(b), ok(a)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(f(proper(_x251), proper(_x252)), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(a, f(f(_x61, f(_x71, _x72)), _x52)))) → top#(f(ok(a), f(f(proper(_x61), f(proper(_x71), proper(_x72))), proper(_x52))))top#(mark(f(f(f(f(f(a, f(_x81, f(a, f(f(b, _x162), f(f(_x191, _x192), f(b, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(a), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(a, f(f(_x161, _x162), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(ok(a), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(f(_x151, b), b)), f(a, f(f(b, b), f(f(a, _x192), f(_x181, f(a, f(_x221, _x222)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(proper(_x151), ok(b)), ok(b))), f(ok(a), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(proper(_x221), proper(_x222))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(f(b, _x162), f(f(a, _x192), f(_x181, f(_x211, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(proper(_x211), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), f(f(_x161, _x162), f(f(b, _x192), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), f(f(proper(_x161), proper(_x162)), f(f(ok(b), proper(_x192)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(a, _x62), _x52), a), b))) → top#(f(f(f(f(ok(a), proper(_x62)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(_x131, _x132), f(f(b, b), f(f(a, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), ok(b)), f(f(ok(a), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(f(_x211, _x212), f(f(_x241, _x242), b)), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(f(proper(_x211), proper(_x212)), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(a, a), f(_x181, b)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), ok(a)), f(proper(_x181), ok(b))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(_x141, f(f(a, f(b, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(proper(_x141), f(f(ok(a), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, f(_x171, _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(_x191, _x192), f(b, f(_x211, f(_x221, _x222)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(proper(_x211), f(proper(_x221), proper(_x222))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(f(b, _x242), b)), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(ok(b), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(f(a, b), b)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(ok(a), ok(b)), ok(b))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(b, f(f(a, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(ok(b), f(f(ok(a), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(a, f(f(_x61, _x62), f(_x61, _x62))))) → top#(f(ok(a), f(f(proper(_x61), proper(_x62)), f(proper(_x61), proper(_x62)))))
top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, a)), f(_x111, f(f(b, _x162), f(f(a, b), f(_x181, f(a, f(_x241, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), ok(a))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), ok(b)), f(proper(_x181), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), f(_x131, _x132)), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), f(proper(_x131), proper(_x132))), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(f(_x151, _x152), a)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(f(proper(_x151), proper(_x152)), ok(a))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(f(_x161, _x162), f(f(_x191, f(b, _x222)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), a), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), ok(a)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(a, a)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(ok(a), ok(a))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(_x161, _x162), f(f(_x191, _x192), f(_x181, a)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(proper(_x181), ok(a))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(_x211, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(proper(_x211), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(b, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(b), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(_x171, b))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(proper(_x171), ok(b)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), f(_x141, b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), f(proper(_x141), ok(b))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(f(_x121, _x122), f(_x141, f(f(_x191, f(b, b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(f(proper(_x121), proper(_x122)), f(proper(_x141), f(f(proper(_x191), f(ok(b), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(_x161, _x162), f(f(_x191, f(_x201, _x202)), f(_x181, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(proper(_x201), proper(_x202))), f(proper(_x181), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, a)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), ok(a))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), _x102), f(f(_x131, _x132), f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(f(_x151, b), b)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, b))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(proper(_x151), ok(b)), ok(b))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), ok(b)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x241, b), b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), ok(b)), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(_x211, b))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(proper(_x211), ok(b)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(f(_x151, _x152), b)), f(_x111, f(f(b, b), f(f(a, _x192), f(a, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(proper(_x151), proper(_x152)), ok(b))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(ok(a), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(ok(f(_x21, _x21))) → top#(mark(f(a, b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(a, _x192), f(b, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(ok(b), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(_x161, _x162), f(f(b, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(ok(b), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, _x142)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), proper(_x142))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, _x132)), f(a, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(_x241, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), proper(_x132))), f(ok(a), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, _x132)), f(f(f(_x141, _x142), _x132), f(f(b, _x162), f(f(a, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), proper(_x132))), f(f(f(proper(_x141), proper(_x142)), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(a, b), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), ok(b)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, a))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), ok(a)))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(b, f(a, f(f(_x131, a), b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(ok(a), f(f(proper(_x131), ok(a)), ok(b))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(a, _x142)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(ok(a), proper(_x142))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(b, f(_x141, f(f(_x191, f(b, _x222)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(ok(b), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(b, _x112))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(ok(b), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(_x161, _x162), f(f(_x191, _x192), f(_x181, _x182)))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(proper(_x181), proper(_x182))))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(f(_x121, _x122), f(_x141, b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(f(proper(_x121), proper(_x122)), f(proper(_x141), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(_x171, b))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(proper(_x171), ok(b)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(f(_x151, _x152), b)), f(a, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(f(proper(_x151), proper(_x152)), ok(b))), f(ok(a), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(_x111, f(_x141, b)))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(proper(_x111), f(proper(_x141), ok(b))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), ok(f(b, b))), ok(a)), ok(b)))
top#(mark(f(a, f(f(a, b), f(b, _x62))))) → top#(f(ok(a), f(f(ok(a), ok(b)), f(ok(b), proper(_x62)))))top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(_x141, f(_x171, _x172))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(f(_x131, b), f(b, f(f(_x191, f(b, _x222)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(f(proper(_x131), ok(b)), f(ok(b), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, b), f(_x121, _x122)))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), ok(b)), f(proper(_x121), proper(_x122))))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(b, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(ok(b), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, a), f(f(_x191, _x192), f(b, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), ok(a)), f(f(proper(_x191), proper(_x192)), f(ok(b), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, a))), a), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), ok(a)))), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(_x111, f(_x141, f(f(f(_x201, _x202), f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(proper(_x111), f(proper(_x141), f(f(f(proper(_x201), proper(_x202)), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(f(_x211, _x212), _x202)))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(f(proper(_x211), proper(_x212)), proper(_x202))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(_x161, _x162), f(f(_x191, _x192), f(a, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(a), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, _x132)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(f(_x151, _x152), b)), f(_x111, f(f(b, b), f(f(a, _x192), f(f(_x201, _x202), f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(proper(_x151), proper(_x152)), ok(b))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(f(proper(_x201), proper(_x202)), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(f(b, _x122), _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(ok(b), proper(_x122)), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(b, f(f(_x61, _x62), _x52)))) → top#(f(ok(b), f(f(proper(_x61), proper(_x62)), proper(_x52))))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(f(_x201, _x202), f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(f(proper(_x201), proper(_x202)), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(b, f(f(b, _x162), f(f(a, _x192), f(_x181, f(_x211, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(ok(b), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(proper(_x211), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(a, a), f(_x181, _x182)))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), ok(a)), f(proper(_x181), proper(_x182))))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(f(_x131, _x132), f(_x171, _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(f(proper(_x131), proper(_x132)), f(proper(_x171), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(f(_x151, _x152), b)), f(b, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(proper(_x151), proper(_x152)), ok(b))), f(ok(b), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(a, a), f(_x111, f(_x141, b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), ok(a)), f(proper(_x111), f(proper(_x141), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, _x132)), f(f(_x131, _x132), f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(_x241, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), proper(_x132))), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(f(b, _x152), b)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(ok(b), proper(_x152)), ok(b))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(_x161, _x162), f(f(a, _x192), f(_x181, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(b, f(f(_x191, f(_x221, _x222)), f(_x181, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(ok(b), f(f(proper(_x191), f(proper(_x221), proper(_x222))), f(proper(_x181), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, f(_x151, a))))), a), f(a, a)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), f(proper(_x151), ok(a)))))), ok(a)), f(ok(a), ok(a))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(_x161, _x162), f(f(_x191, f(f(_x241, b), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), ok(b)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(a, _x192), f(b, f(_x211, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(ok(b), f(proper(_x211), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(f(_x141, _x142), _x132), f(f(b, _x162), f(f(a, f(f(b, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(f(proper(_x141), proper(_x142)), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(ok(b), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(b, f(a, f(_x241, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(ok(b), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(f(b, _x162), f(f(a, b), f(_x181, f(a, f(_x241, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), ok(b)), f(proper(_x181), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(f(f(_x171, _x172), _x152), _x132)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(f(f(proper(_x171), proper(_x172)), proper(_x152)), proper(_x132))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(_x191, _x192), f(_x181, _x182)))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(proper(_x181), proper(_x182))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, a), f(f(a, _x192), f(_x181, f(_x211, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), ok(a)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(proper(_x211), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(f(_x151, _x152), b)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, a))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(proper(_x151), proper(_x152)), ok(b))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), ok(a)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(f(_x131, _x132), f(b, f(f(b, f(b, _x222)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(f(proper(_x131), proper(_x132)), f(ok(b), f(f(ok(b), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(f(_x151, _x152), _x132)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(f(proper(_x151), proper(_x152)), proper(_x132))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, a), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), ok(a)), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(f(_x141, b), _x132), f(f(b, _x162), f(f(a, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(f(proper(_x141), ok(b)), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), f(f(_x161, b), f(f(_x191, _x192), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), f(f(proper(_x161), ok(b)), f(f(proper(_x191), proper(_x192)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(b, f(_x141, f(f(_x191, f(b, b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(ok(b), f(proper(_x141), f(f(proper(_x191), f(ok(b), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(a, b), b), a), b))) → top#(f(f(ok(f(f(a, b), b)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, a))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), ok(a)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(b, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(ok(b), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(a, f(f(_x241, _x242), b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(ok(a), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(b, _x162), f(f(a, _x192), f(f(_x201, _x202), f(_x211, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(f(proper(_x201), proper(_x202)), f(proper(_x211), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(f(a, _x152), b)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(f(ok(a), proper(_x152)), ok(b))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(b, f(_x221, _x222)), _x172))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(ok(b), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(b, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(ok(b), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(a, f(f(b, b), f(f(_x191, _x192), f(b, f(_x211, _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(a), f(f(ok(b), ok(b)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(proper(_x211), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(b, f(_x111, f(f(b, _x162), f(f(a, a), f(_x181, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), ok(a)), f(proper(_x181), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(f(a, b), b)), f(a, f(f(b, b), f(f(a, _x192), f(_x181, f(a, b))))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(ok(a), ok(b)), ok(b))), f(ok(a), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), ok(b)))))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, _x132)), f(_x111, f(f(b, _x162), f(f(a, f(_x201, _x202)), f(_x181, f(a, f(_x241, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), f(proper(_x201), proper(_x202))), f(proper(_x181), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(_x131, _x132), f(f(b, a), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), ok(a)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, a), f(f(a, a), f(a, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), ok(a)), f(f(ok(a), ok(a)), f(ok(a), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(f(_x191, _x192), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), proper(_x192)), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x111, _x112)), f(_x111, _x112))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x111), proper(_x112))), f(proper(_x111), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(a, _x142)))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(ok(a), proper(_x142))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(f(_x121, _x122), f(f(_x131, _x132), b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(f(proper(_x121), proper(_x122)), f(f(proper(_x131), proper(_x132)), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(b, f(_x141, f(f(_x191, f(b, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(ok(b), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, b))), a), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), ok(b)))), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(_x191, b), f(b, f(b, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), ok(b)), f(ok(b), f(ok(b), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(b, f(f(_x121, _x122), f(f(_x131, _x132), b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(f(proper(_x121), proper(_x122)), f(f(proper(_x131), proper(_x132)), ok(b))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(_x71, _x72), b), b), a), b))) → top#(f(f(f(f(f(proper(_x71), proper(_x72)), ok(b)), ok(b)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(_x161, _x162), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(a, a)))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(ok(a), ok(a))))), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, a)), f(_x111, f(f(b, _x162), f(f(a, a), f(_x181, f(a, f(f(_x251, _x252), _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), ok(a))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), ok(a)), f(proper(_x181), f(ok(a), f(f(proper(_x251), proper(_x252)), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, f(_x171, _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(a, f(a, f(f(_x91, _x92), a))), b))) → top#(f(f(ok(a), f(ok(a), f(f(proper(_x91), proper(_x92)), ok(a)))), ok(b)))
top#(mark(f(f(a, f(a, f(_x81, f(_x91, _x92)))), b))) → top#(f(f(ok(a), f(ok(a), f(proper(_x81), f(proper(_x91), proper(_x92))))), ok(b)))top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), _x102), f(_x111, f(a, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), proper(_x102)), f(proper(_x111), f(ok(a), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, a), f(f(f(_x141, _x142), _x132), f(f(b, _x162), f(f(a, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), ok(a)), f(f(f(proper(_x141), proper(_x142)), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(b, _x122)))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(ok(b), proper(_x122))))), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(_x141, f(f(a, f(b, _x222)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(proper(_x141), f(f(ok(a), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(b, f(_x141, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(ok(b), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(f(_x151, _x152), b)), f(_x111, f(f(b, b), f(f(a, _x192), f(b, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(f(proper(_x151), proper(_x152)), ok(b))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(ok(b), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(a, b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(ok(a), ok(b))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(_x141, f(f(_x191, f(b, _x222)), b))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), ok(b)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(a, f(f(b, _x162), f(f(_x191, _x192), f(b, f(_x211, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(a), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(proper(_x211), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, f(a, _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), f(ok(a), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, _x122), f(_x141, f(_x151, a))))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), proper(_x122)), f(proper(_x141), f(proper(_x151), ok(a)))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, b), f(f(b, _x132), f(_x141, f(f(_x191, f(b, _x222)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), ok(b)), f(f(ok(b), proper(_x132)), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(b, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(ok(b), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(f(_x211, _x212), _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(f(proper(_x211), proper(_x212)), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(_x111, f(f(_x161, b), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(proper(_x111), f(f(proper(_x161), ok(b)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x241, a), b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), ok(a)), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(b, _x142)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(ok(b), proper(_x142))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(f(b, _x162), f(f(a, _x192), f(_x181, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(a, f(f(_x71, _x72), a)), b))) → top#(f(f(ok(a), f(f(proper(_x71), proper(_x72)), ok(a))), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(f(_x141, _x142), _x132), f(f(b, _x162), f(f(a, f(f(_x241, f(_x211, _x212)), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(f(proper(_x141), proper(_x142)), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(proper(_x241), f(proper(_x211), proper(_x212))), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(_x141, f(f(b, f(b, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(proper(_x141), f(f(ok(b), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(_x141, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(_x161, b), f(f(_x191, _x192), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(proper(_x161), ok(b)), f(f(proper(_x191), proper(_x192)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(_x111, f(f(b, _x162), f(f(_x191, f(f(_x241, f(_x221, _x222)), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), f(proper(_x221), proper(_x222))), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(_x111, f(_x141, f(f(f(_x201, _x202), f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(f(proper(_x201), proper(_x202)), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(f(_x131, _x132), f(_x141, f(f(_x191, f(b, _x222)), b))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(f(proper(_x131), proper(_x132)), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), ok(b)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(_x161, _x162), f(f(_x191, _x192), f(b, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, a)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(f(_x251, _x252), _x242)))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), ok(a))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(f(proper(_x251), proper(_x252)), proper(_x242))))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(_x141, f(f(_x191, f(b, b)), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), ok(b))), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, b)))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), ok(b))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(f(b, _x162), f(f(_x191, _x192), f(b, f(f(_x221, _x222), _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(f(proper(_x221), proper(_x222)), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, a), f(f(_x191, _x192), f(b, f(b, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), ok(a)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(ok(b), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(_x111, f(_x141, f(f(_x191, f(f(_x241, a), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), ok(a)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(_x111, f(f(_x131, f(_x161, _x162)), b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(proper(_x111), f(f(proper(_x131), f(proper(_x161), proper(_x162))), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(a, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(ok(a), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), f(b, b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), f(ok(b), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(f(a, b), b)), f(a, f(f(b, b), f(f(a, f(_x171, _x172)), f(_x181, f(a, b))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(ok(a), ok(b)), ok(b))), f(ok(a), f(f(ok(b), ok(b)), f(f(ok(a), f(proper(_x171), proper(_x172))), f(proper(_x181), f(ok(a), ok(b)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, _x132)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(f(_x251, _x252), _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(f(proper(_x251), proper(_x252)), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(f(_x201, _x202), f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(f(proper(_x201), proper(_x202)), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(a, f(_x171, _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(ok(a), f(proper(_x171), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(f(_x141, _x142), a)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(f(_x251, _x252), _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(proper(_x141), proper(_x142)), ok(a))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(f(proper(_x251), proper(_x252)), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, a), f(f(_x191, _x192), f(b, f(f(_x221, _x222), _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), ok(a)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(f(proper(_x221), proper(_x222)), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(f(a, _x152), _x132)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(f(ok(a), proper(_x152)), proper(_x132))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, f(_x171, _x172))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), f(f(b, _x162), f(f(_x191, _x192), f(b, f(_x211, _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(proper(_x211), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(f(_x181, _x182), _x192), f(b, f(_x211, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(f(proper(_x181), proper(_x182)), proper(_x192)), f(ok(b), f(proper(_x211), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(b, f(_x111, f(b, b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(proper(_x111), f(ok(b), ok(b))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(f(_x131, _x132), f(f(_x191, f(b, b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(f(proper(_x131), proper(_x132)), f(f(proper(_x191), f(ok(b), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(b, f(_x171, _x172)), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(ok(b), f(proper(_x171), proper(_x172))), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(_x111, f(f(b, _x162), f(f(_x191, f(f(a, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), f(f(ok(a), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(b, _x192), f(b, f(b, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(b), proper(_x192)), f(ok(b), f(ok(b), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), ok(b))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(a, _x192), f(b, f(b, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(ok(b), f(ok(b), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(f(a, b), f(b, _x122)))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(ok(a), ok(b)), f(ok(b), proper(_x122))))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, f(_x211, _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), f(proper(_x211), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(a, f(_x121, a)))), a), b), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(a), f(proper(_x121), ok(a))))), ok(a)), ok(b)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(_x161, _x162), f(f(_x191, f(f(_x241, _x242), b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(a, _x192), f(b, f(f(_x221, _x222), _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(ok(b), f(f(proper(_x221), proper(_x222)), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, a)), f(_x111, f(f(b, f(_x171, _x172)), f(f(a, _x192), f(_x181, f(a, f(f(_x251, _x252), _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), ok(a))), f(proper(_x111), f(f(ok(b), f(proper(_x171), proper(_x172))), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(f(proper(_x251), proper(_x252)), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), b), f(f(_x131, _x132), f(b, f(f(_x191, f(b, _x222)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), ok(b)), f(f(proper(_x131), proper(_x132)), f(ok(b), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(f(b, _x162), f(f(_x191, _x192), f(b, f(_x211, _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(proper(_x211), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(f(_x171, _x172), _x162), f(f(_x191, _x192), f(_x181, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(f(proper(_x171), proper(_x172)), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(proper(_x181), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(b, f(_x141, _x142)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(b), f(proper(_x141), proper(_x142))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(a, f(f(a, b), f(_x61, _x62))))) → top#(f(ok(a), f(ok(f(a, b)), f(proper(_x61), proper(_x62)))))
top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, a)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(f(_x251, _x252), b)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), ok(a))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(f(proper(_x251), proper(_x252)), ok(b))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(a, f(f(a, b), f(_x61, f(_x91, _x92)))))) → top#(f(ok(a), f(f(ok(a), ok(b)), f(proper(_x61), f(proper(_x91), proper(_x92))))))
top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, _x122), f(_x141, _x142)))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), proper(_x122)), f(proper(_x141), proper(_x142))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(f(_x131, _x132), f(_x141, b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(proper(_x141), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(a, f(f(b, _x162), f(f(a, _x192), f(_x181, f(_x211, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(a), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(proper(_x211), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(b, f(b, f(_x141, f(_x171, _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(ok(b), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), f(f(b, _x162), f(f(_x191, _x192), f(b, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, a)))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), ok(a))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(f(a, _x122), a))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(ok(a), proper(_x122)), ok(a)))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(f(b, b), f(f(a, _x192), f(b, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(ok(b), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(f(f(_x221, _x222), _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(f(proper(_x221), proper(_x222)), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(f(_x131, _x132), f(f(_x161, _x162), f(f(_x191, _x192), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), proper(_x192)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(_x211, _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(proper(_x211), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(a, f(_x51, b)), b))) → top#(f(f(ok(a), f(proper(_x51), ok(b))), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(f(_x151, _x152), _x132)), f(f(_x131, _x132), f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(f(proper(_x151), proper(_x152)), proper(_x132))), f(f(proper(_x131), proper(_x132)), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(_x241, _x242)))))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, _x72), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), proper(_x72)), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(b, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(_x241, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(ok(b), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(b, f(_x251, _x252))), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), f(proper(_x251), proper(_x252)))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(b, _x72), a), _x52), a), b))) → top#(f(f(f(f(f(ok(b), proper(_x72)), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, b)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(_x241, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), ok(b))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(_x131, _x132), f(f(b, b), f(f(a, f(f(b, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), ok(b)), f(f(ok(a), f(f(ok(b), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, b), b))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), ok(b)), ok(b)))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(b, b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(ok(b), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(f(b, b), b)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(proper(_x151), ok(b)), ok(b))), f(proper(_x111), f(ok(f(b, b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(b, f(f(_x131, _x132), f(_x141, b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(f(proper(_x131), proper(_x132)), f(proper(_x141), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, _x142)))), a), f(_x61, f(_x91, _x92))), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), proper(_x142))))), ok(a)), f(proper(_x61), f(proper(_x91), proper(_x92)))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(f(_x131, _x132), f(_x151, _x152))))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(f(proper(_x131), proper(_x132)), f(proper(_x151), proper(_x152)))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(f(_x191, b), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), ok(b)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, b), f(f(f(_x141, _x142), _x132), f(f(b, _x162), f(f(a, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), ok(b)), f(f(f(proper(_x141), proper(_x142)), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(f(a, _x122), _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(ok(a), proper(_x122)), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(a, f(f(a, b), f(_x61, a))))) → top#(f(ok(a), f(f(ok(a), ok(b)), f(proper(_x61), ok(a)))))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(f(_x171, _x172), _x162), f(f(_x191, _x192), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(f(proper(_x171), proper(_x172)), proper(_x162)), f(f(proper(_x191), proper(_x192)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(a, f(b, b)), b))) → top#(f(f(ok(a), f(ok(b), ok(b))), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, a)), f(b, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(f(_x251, _x252), _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), ok(a))), f(ok(b), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(f(proper(_x251), proper(_x252)), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(_x191, _x192), f(b, f(f(_x221, _x222), f(_x221, _x222)))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(f(proper(_x221), proper(_x222)), f(proper(_x221), proper(_x222))))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(_x111, f(f(_x161, _x162), f(f(_x191, f(f(_x241, b), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), ok(b)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), f(_x131, _x132)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, b)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), ok(b))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, _x132)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, f(_x241, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(a, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(ok(a), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(_x161, _x162), f(f(_x191, b), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), ok(b)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(f(_x191, f(_x221, f(_x251, _x252))), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), f(proper(_x251), proper(_x252)))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(_x191, _x192), f(b, b)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), ok(b))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(f(_x131, _x132), f(_x141, f(f(_x191, f(b, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(f(proper(_x131), proper(_x132)), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, _x72), _x62), b), a), b))) → top#(f(f(f(f(f(ok(a), proper(_x72)), proper(_x62)), ok(b)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(b, _x192), f(_x181, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(b), proper(_x192)), f(proper(_x181), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(_x211, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(proper(_x211), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(_x161, _x162), f(f(_x191, f(f(b, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(f(ok(b), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(f(_x191, f(_x221, _x222)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), proper(_x222))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(f(_x151, b), b)), f(a, f(f(b, b), f(f(a, a), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(proper(_x151), ok(b)), ok(b))), f(ok(a), f(f(ok(b), ok(b)), f(f(ok(a), ok(a)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(b, _x162), f(f(_x191, _x192), f(b, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(f(a, b), b)), f(a, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(ok(a), ok(b)), ok(b))), f(ok(a), f(ok(f(b, b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, _x132)), f(_x111, f(f(b, a), f(f(a, _x192), f(_x181, f(a, f(_x241, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), ok(a)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(f(_x151, _x152), b)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(proper(_x151), proper(_x152)), ok(b))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(f(_x131, _x132), f(_x141, f(f(a, f(b, _x222)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(f(proper(_x131), proper(_x132)), f(proper(_x141), f(f(ok(a), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, _x142)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), proper(_x142))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, b))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), ok(b)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, _x132)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(a, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(ok(a), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(_x161, _x162), f(f(_x191, f(_x201, _x202)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(proper(_x201), proper(_x202))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(_x161, _x162), f(f(_x191, a), f(_x181, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), ok(a)), f(proper(_x181), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(b, f(_x111, f(f(_x161, _x162), f(f(_x191, _x192), f(_x181, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(proper(_x181), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(b, a)))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(ok(b), ok(a))))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(_x141, f(_x171, a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(proper(_x141), f(proper(_x171), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(b, f(f(_x191, f(b, b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(ok(b), f(f(proper(_x191), f(ok(b), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), _x102), f(_x111, f(_x141, f(f(b, f(_x221, b)), f(_x201, _x202)))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(ok(b), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(b, _x222)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(_x191, _x192), f(a, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(a), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(_x171, f(_x161, _x162)))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(proper(_x171), f(proper(_x161), proper(_x162))))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(a, _x132), f(f(b, _x162), f(f(a, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(ok(a), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(b, _x132), f(f(b, _x162), f(f(a, f(f(b, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(ok(b), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(ok(b), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(ok(f(b, b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(a, f(_x171, _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(ok(a), f(proper(_x171), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, _x192), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), proper(_x192)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(f(b, _x162), f(f(_x191, _x192), f(b, f(b, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(ok(b), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), f(_x141, f(_x171, _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(b, _x112))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(b), proper(_x112)))), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(f(a, _x132), f(_x141, b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(ok(a), proper(_x132)), f(proper(_x141), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(f(_x131, _x132), f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(_x241, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(_x161, _x162), f(f(_x191, _x192), f(_x181, _x182)))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(proper(_x181), proper(_x182))))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(f(_x111, _x112), b), f(_x111, f(_x141, f(f(_x191, f(b, b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x111), proper(_x112)), ok(b)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(_x161, _x162), f(_x171, _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(proper(_x171), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(a, a), f(_x181, a)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), ok(a)), f(proper(_x181), ok(a))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, b)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), ok(b))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(b, _x132)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(_x241, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(ok(b), proper(_x132))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(_x111, f(f(_x161, _x162), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(b, f(f(_x191, f(b, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(ok(b), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, a), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), ok(a)), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(a, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(ok(a), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, b)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), ok(b))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(_x71, _x72), a), a), a), b))) → top#(f(f(f(f(f(proper(_x71), proper(_x72)), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), f(f(b, _x162), f(f(_x191, _x192), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), _x102), f(_x111, f(_x141, f(f(a, f(_x221, b)), f(_x201, _x202)))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(ok(a), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(a, a)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(_x241, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(ok(a), ok(a))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(_x71, _x72), _x62), b), a), b))) → top#(f(f(f(f(f(proper(_x71), proper(_x72)), proper(_x62)), ok(b)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(_x141, f(_x171, _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(f(b, b), f(f(a, a), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), ok(a)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(f(_x131, _x132), f(f(_x151, _x152), f(f(_x191, f(b, _x222)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(f(proper(_x131), proper(_x132)), f(f(proper(_x151), proper(_x152)), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), f(f(_x161, _x162), f(f(f(_x171, _x172), _x192), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), f(f(proper(_x161), proper(_x162)), f(f(f(proper(_x171), proper(_x172)), proper(_x192)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, a), f(f(_x191, _x192), f(b, f(_x211, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), ok(a)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(proper(_x211), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(_x211, a))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(proper(_x211), ok(a)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(b, _x162), f(f(a, a), f(a, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), ok(a)), f(ok(a), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(_x141, f(f(_x191, f(b, _x222)), a))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), ok(a)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, a)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(_x241, _x242)))))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), ok(a))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(a, f(b, a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(ok(a), f(ok(b), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(b, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, _x72), b), _x52), a), b))) → top#(f(f(f(f(f(ok(a), proper(_x72)), ok(b)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, a)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(_x241, _x242)))))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), ok(a))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), f(f(_x161, a), f(f(_x191, _x192), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), f(f(proper(_x161), ok(a)), f(f(proper(_x191), proper(_x192)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(b, _x192), f(b, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(b), proper(_x192)), f(ok(b), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(_x141, f(f(_x191, f(b, _x222)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, f(_x171, _x172)), f(f(_x191, _x192), f(b, f(_x211, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), f(proper(_x171), proper(_x172))), f(f(proper(_x191), proper(_x192)), f(ok(b), f(proper(_x211), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, a))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), ok(a)))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(_x161, _x162), f(f(b, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(ok(b), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(_x191, _x192), f(_x181, b)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(proper(_x181), ok(b))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(_x111, f(f(_x161, _x162), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(_x141, f(f(_x191, f(b, f(_x251, _x252))), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), f(proper(_x251), proper(_x252)))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), f(_x141, f(_x171, _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(_x71, b), a), _x52), a), b))) → top#(f(f(f(f(f(proper(_x71), ok(b)), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(_x211, _x212))))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(proper(_x211), proper(_x212)))))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(_x131, _x132), f(f(b, a), f(f(a, f(f(b, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), ok(a)), f(f(ok(a), f(f(ok(b), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(_x131, _x132), b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(proper(_x131), proper(_x132)), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), f(_x201, _x202)))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, f(_x161, _x162))), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), f(proper(_x161), proper(_x162)))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(b, f(_x151, _x152))))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(ok(b), f(proper(_x151), proper(_x152)))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, _x122), f(b, f(_x151, _x152))))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), proper(_x122)), f(ok(b), f(proper(_x151), proper(_x152)))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, a)), f(b, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(_x241, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), ok(a))), f(ok(b), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(b, _x192), f(b, f(_x211, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(b), proper(_x192)), f(ok(b), f(proper(_x211), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(a, _x192), f(f(_x201, _x202), _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(f(proper(_x201), proper(_x202)), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, _x142)))), a), f(f(_x81, _x82), _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), proper(_x142))))), ok(a)), f(f(proper(_x81), proper(_x82)), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(b, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(ok(b), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, f(_x171, _x172)), f(f(a, a), f(a, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), f(proper(_x171), proper(_x172))), f(f(ok(a), ok(a)), f(ok(a), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, f(_x141, _x142))), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(_x241, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), f(proper(_x141), proper(_x142)))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, a), f(f(_x191, _x192), f(_x181, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), ok(a)), f(f(proper(_x191), proper(_x192)), f(proper(_x181), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(a, f(a, f(f(_x91, _x92), f(_x91, _x92)))), b))) → top#(f(f(ok(a), f(ok(a), f(f(proper(_x91), proper(_x92)), f(proper(_x91), proper(_x92))))), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(b, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(ok(b), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(_x171, a))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(proper(_x171), ok(a)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(b, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(ok(b), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), _x112))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(f(_x151, _x152), f(_x171, _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(f(proper(_x151), proper(_x152)), f(proper(_x171), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(a, _x142)))), a), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(ok(a), proper(_x142))))), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, a))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), ok(a)))), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, _x72), _x62), a), a), b))) → top#(f(f(f(f(f(ok(a), proper(_x72)), proper(_x62)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(f(b, _x132), f(_x141, b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(ok(b), proper(_x132)), f(proper(_x141), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(b, f(f(_x191, f(_x221, _x222)), b))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(ok(b), f(f(proper(_x191), f(proper(_x221), proper(_x222))), ok(b)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(a, b)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(ok(a), ok(b))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(a, f(a, f(f(_x91, b), _x82))), b))) → top#(f(f(ok(a), f(ok(a), f(f(proper(_x91), ok(b)), proper(_x82)))), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(f(_x141, _x142), _x122)))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(f(proper(_x141), proper(_x142)), proper(_x122))))), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(a, _x52), _x42), b))) → top#(f(f(f(ok(a), proper(_x52)), proper(_x42)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(a, f(_x171, b))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(ok(a), f(proper(_x171), ok(b)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(a, a), f(a, _x182)))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), ok(a)), f(ok(a), proper(_x182))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(f(_x151, a), b)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(f(proper(_x151), ok(a)), ok(b))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(f(b, _x132), f(_x141, f(f(_x191, f(b, _x222)), b))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(f(ok(b), proper(_x132)), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), ok(b)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(_x131, _x132), f(f(b, _x162), f(f(a, f(f(f(_x201, _x202), _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(f(proper(_x201), proper(_x202)), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, a), f(f(_x131, _x132), f(f(b, _x162), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), ok(a)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(b, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(ok(b), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(a, f(b, a)), b))) → top#(f(f(ok(a), f(ok(b), ok(a))), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(f(f(_x151, _x152), _x142), _x132), f(f(b, _x162), f(f(a, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(f(f(proper(_x151), proper(_x152)), proper(_x142)), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(a, f(f(f(_x71, _x72), _x62), _x52)))) → top#(f(ok(a), f(f(f(proper(_x71), proper(_x72)), proper(_x62)), proper(_x52))))top#(mark(f(a, f(f(a, b), b)))) → top#(f(ok(a), f(f(ok(a), ok(b)), ok(b))))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(a, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(ok(a), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(a, a))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(a), ok(a)))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(a, _x142)))), a), f(a, f(_x91, _x92))), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(ok(a), proper(_x142))))), ok(a)), f(ok(a), f(proper(_x91), proper(_x92)))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, _x142)))), a), f(b, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), proper(_x142))))), ok(a)), f(ok(b), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x121, a)))), a), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x121), ok(a))))), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(_x141, f(f(_x191, f(b, b)), b))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), ok(f(b, b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(b, f(f(_x121, _x122), f(_x141, b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(f(proper(_x121), proper(_x122)), f(proper(_x141), ok(b))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x211, _x212), b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x211), proper(_x212)), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(a, _x132), f(f(b, _x162), f(f(a, f(f(b, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(ok(a), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(ok(b), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(_x131, a), f(f(b, _x162), f(f(a, f(f(b, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(proper(_x131), ok(a)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(ok(b), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(a, f(_x131, _x132)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, a), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), ok(a)), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, a)))), a), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), ok(a))))), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(_x131, b), f(f(b, _x162), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(proper(_x131), ok(b)), f(f(ok(b), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(a, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(ok(a), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(b, f(_x111, f(_x141, _x142)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(proper(_x111), f(proper(_x141), proper(_x142))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(b, f(_x221, f(_x231, _x232))), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(ok(b), f(proper(_x221), f(proper(_x231), proper(_x232)))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(b, _x62), _x52), a), b))) → top#(f(f(f(f(ok(b), proper(_x62)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), f(f(_x161, _x162), f(f(_x191, _x192), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), proper(_x192)), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(b, f(_x111, f(f(_x131, f(_x161, _x162)), b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(proper(_x111), f(f(proper(_x131), f(proper(_x161), proper(_x162))), ok(b))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(f(_x151, b), b)), f(a, f(f(b, b), f(f(a, _x192), f(f(_x191, _x192), f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(proper(_x151), ok(b)), ok(b))), f(ok(a), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(f(proper(_x191), proper(_x192)), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), a), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), ok(a)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(f(_x121, f(_x151, _x152)), _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), f(proper(_x151), proper(_x152))), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(_x191, _x192), f(b, f(f(_x221, _x222), b))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(f(proper(_x221), proper(_x222)), ok(b)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(a, _x112))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(a), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(a, f(f(a, b), a)))) → top#(f(ok(a), f(f(ok(a), ok(b)), ok(a))))top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(f(_x131, _x132), f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(f(proper(_x131), proper(_x132)), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(a, f(f(_x151, _x152), _x132)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), f(f(proper(_x151), proper(_x152)), proper(_x132))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, b), f(f(_x131, _x132), f(f(b, _x162), f(f(a, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), ok(b)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(a, f(_x141, f(f(_x191, f(b, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(ok(a), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(_x111, f(f(f(_x151, _x152), _x132), b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(proper(_x111), f(f(f(proper(_x151), proper(_x152)), proper(_x132)), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(_x191, f(_x201, _x202)), f(b, f(_x211, _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), f(proper(_x201), proper(_x202))), f(ok(b), f(proper(_x211), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(a, a))) → top#(ok(f(a, a)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(a, f(f(_x191, f(b, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(ok(a), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(f(b, b), f(f(a, b), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), ok(b)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, a)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(_x241, f(_x251, _x252))))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), ok(a))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(proper(_x241), f(proper(_x251), proper(_x252)))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, a)), f(_x111, f(f(b, _x162), f(f(a, f(_x201, _x202)), f(_x181, f(a, f(f(_x251, _x252), _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), ok(a))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), f(proper(_x201), proper(_x202))), f(proper(_x181), f(ok(a), f(f(proper(_x251), proper(_x252)), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(b, f(f(_x161, _x162), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(ok(b), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(f(a, b), b)), f(a, f(f(b, b), f(f(a, _x192), f(_x181, f(a, b))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(ok(a), ok(b)), ok(b))), f(ok(a), f(ok(f(b, b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), ok(b)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(_x191, _x192), f(b, f(b, f(_x221, _x222)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(ok(b), f(proper(_x221), proper(_x222))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(f(b, _x162), f(f(a, a), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), ok(a)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(f(a, _x142), _x132), f(f(b, _x162), f(f(a, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(f(ok(a), proper(_x142)), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(f(_x141, _x142), _x132)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(_x241, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(proper(_x141), proper(_x142)), proper(_x132))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(f(b, _x132), f(b, f(f(_x191, f(b, _x222)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(f(ok(b), proper(_x132)), f(ok(b), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(_x111, f(f(b, _x162), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(_x191, _x192), f(b, f(_x211, a))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(proper(_x211), ok(a)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(b, _x202)))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(ok(b), proper(_x202))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(a, f(_x171, a))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(ok(a), f(proper(_x171), ok(a)))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(f(b, b), f(f(a, _x192), f(a, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(ok(a), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), f(_x131, _x132)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(f(_x151, _x152), b)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, f(_x241, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(f(proper(_x151), proper(_x152)), ok(b))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, f(_x161, _x162))), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(_x241, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), f(proper(_x161), proper(_x162)))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(a, f(_x171, a))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(ok(a), f(proper(_x171), ok(a)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(b, _x72), _x62), _x52), a), b))) → top#(f(f(f(f(f(ok(b), proper(_x72)), proper(_x62)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(b, b))) → top#(ok(f(b, b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(f(_x151, b), b)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(f(proper(_x151), ok(b)), ok(b))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(a, f(f(_x61, b), f(_x61, _x62))))) → top#(f(ok(a), f(f(proper(_x61), ok(b)), f(proper(_x61), proper(_x62)))))top#(mark(f(f(f(f(f(a, a), a), b), a), b))) → top#(f(f(f(f(f(ok(a), ok(a)), ok(a)), ok(b)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(_x241, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(f(_x191, _x192), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), proper(_x192)), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(f(b, _x122), f(b, _x142)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(ok(b), proper(_x122)), f(ok(b), proper(_x142))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), _x102), f(_x111, f(_x141, f(f(_x191, f(a, b)), f(_x201, _x202)))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(a), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(f(_x151, b), b)), f(a, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(proper(_x151), ok(b)), ok(b))), f(ok(a), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(_x161, _x162), f(f(_x191, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(f(_x111, _x112), a), f(_x111, f(f(_x131, _x132), b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x111), proper(_x112)), ok(a)), f(proper(_x111), f(f(proper(_x131), proper(_x132)), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(a, f(f(_x151, _x152), b)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), f(f(proper(_x151), proper(_x152)), ok(b))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(_x141, f(f(a, f(b, b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(proper(_x141), f(f(ok(a), f(ok(b), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), _x172))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(_x191, a), f(b, f(_x211, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), ok(a)), f(ok(b), f(proper(_x211), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(a, f(_x121, a)))), a), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(a), f(proper(_x121), ok(a))))), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, _x82)), _x62), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), proper(_x82))), proper(_x62)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(_x131, _x132), f(f(_x161, _x162), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(a, f(a, _x142)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(a), f(ok(a), proper(_x142))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, _x82)), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), proper(_x82))), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(a, f(f(b, _x162), f(f(_x191, _x192), f(b, f(b, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(a), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(ok(b), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(_x191, _x192), f(b, f(b, b))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(ok(b), ok(b)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(f(b, _x192), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(f(ok(b), proper(_x192)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(f(_x141, a), _x132), f(f(b, _x162), f(f(a, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(f(proper(_x141), ok(a)), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, _x122), f(_x141, f(_x171, _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), proper(_x122)), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, _x122), f(b, b)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), proper(_x122)), f(ok(b), ok(b))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(a, f(f(_x191, f(b, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(ok(a), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, a)), f(a, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(f(_x251, _x252), _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), ok(a))), f(ok(a), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(f(proper(_x251), proper(_x252)), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(_x141, f(f(_x191, f(b, _x222)), b))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), ok(b)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(f(_x151, _x152), b)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, b))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(proper(_x151), proper(_x152)), ok(b))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), ok(b)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, b), f(f(b, _x192), f(b, f(_x211, _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(b), proper(_x192)), f(ok(b), f(proper(_x211), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(f(_x151, _x152), _x132)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(f(proper(_x151), proper(_x152)), proper(_x132))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(f(_x121, b), _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), ok(b)), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(b, f(_x121, _x122)))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(b), f(proper(_x121), proper(_x122))))), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(_x131, _x132), f(f(b, f(_x171, _x172)), f(f(a, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), f(proper(_x171), proper(_x172))), f(f(ok(a), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(b, f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(b, f(_x141, b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(ok(b), f(proper(_x141), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(f(_x111, _x112), a), f(_x111, f(_x141, b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x111), proper(_x112)), ok(a)), f(proper(_x111), f(proper(_x141), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(_x71, _x72), a), b), a), b))) → top#(f(f(f(f(f(proper(_x71), proper(_x72)), ok(a)), ok(b)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(_x191, _x192), f(b, f(_x211, b))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(proper(_x211), ok(b)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(f(_x151, _x152), _x132)), f(a, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(f(proper(_x151), proper(_x152)), proper(_x132))), f(ok(a), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(a, f(_x141, f(_x171, _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(a), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(f(_x191, f(_x221, b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(_x171, a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(proper(_x171), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), b), f(_x111, f(_x141, f(f(_x191, f(b, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), ok(b)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(_x131, _x132), f(f(b, _x162), f(f(a, f(f(_x241, b), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(proper(_x241), ok(b)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, a), a), f(_x61, a)), a), b))) → top#(f(f(f(f(f(ok(a), ok(a)), ok(a)), f(proper(_x61), ok(a))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, a), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), ok(a)), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, b))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), ok(b)))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(f(_x131, _x132), f(_x141, b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x131), proper(_x132)), f(proper(_x141), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(_x111, f(_x141, f(f(_x191, f(b, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, _x142)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), proper(_x142))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(b, _x132), f(f(b, _x162), f(f(a, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(ok(b), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(_x111, f(_x141, f(f(_x191, f(f(a, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(ok(a), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, f(_x171, f(_x161, _x162)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), f(proper(_x171), f(proper(_x161), proper(_x162))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(f(f(_x251, _x252), _x242), b)), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(f(proper(_x251), proper(_x252)), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(b, _x132)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(_x241, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(ok(b), proper(_x132))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(_x161, _x162), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, b), f(f(a, a), f(_x181, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), ok(a)), f(proper(_x181), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(b, f(f(_x191, f(_x221, b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(ok(b), f(f(proper(_x191), f(proper(_x221), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(f(f(_x141, _x142), _x152), b)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(f(proper(_x141), proper(_x142)), proper(_x152)), ok(b))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(b, f(f(_x191, _x192), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(ok(b), f(f(proper(_x191), proper(_x192)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), f(_x141, b)))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), f(proper(_x141), ok(b))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(b, b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(ok(b), ok(b))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(_x141, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(a, f(a, f(_x81, a))), b))) → top#(f(f(ok(a), f(ok(a), f(proper(_x81), ok(a)))), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), f(f(_x161, _x162), f(f(a, _x192), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), f(f(proper(_x161), proper(_x162)), f(f(ok(a), proper(_x192)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), ok(b))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(f(_x131, _x132), f(b, f(f(_x191, f(b, a)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(f(proper(_x131), proper(_x132)), f(ok(b), f(f(proper(_x191), f(ok(b), ok(a))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(b, _x162), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x121, f(_x151, _x152))))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x121), f(proper(_x151), proper(_x152)))))), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(_x161, _x162), _x142)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(proper(_x161), proper(_x162)), proper(_x142))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(b, b))) → top#(f(ok(b), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(f(a, b), f(_x121, b)))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(ok(a), ok(b)), f(proper(_x121), ok(b))))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(b, f(_x111, f(a, _x142)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(proper(_x111), f(ok(a), proper(_x142))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, a), a), f(a, a)), a), b))) → top#(f(f(f(f(ok(f(a, a)), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(b, b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(ok(b), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(_x171, _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(f(_x151, _x152), b)), f(_x111, f(f(b, b), f(f(a, a), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(proper(_x151), proper(_x152)), ok(b))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), ok(a)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(f(_x191, f(a, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(a), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(b, f(_x141, f(f(_x191, f(_x221, b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(ok(b), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, b))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), ok(b)))), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(a, f(f(_x61, b), a)))) → top#(f(ok(a), f(f(proper(_x61), ok(b)), ok(a))))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(a, f(f(b, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(ok(a), f(f(ok(b), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(a, f(f(_x161, _x162), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(ok(a), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(_x161, f(_x171, _x172)), f(f(_x191, _x192), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(proper(_x161), f(proper(_x171), proper(_x172))), f(f(proper(_x191), proper(_x192)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(f(a, b), b)), f(a, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(ok(a), ok(b)), ok(b))), f(ok(a), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(b, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(ok(b), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(_x111, f(f(_x161, _x162), f(f(b, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(ok(b), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(f(_x151, _x152), _x132)), f(_x111, f(f(b, b), f(f(a, _x192), f(b, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(f(proper(_x151), proper(_x152)), proper(_x132))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(ok(b), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, a)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(f(_x251, _x252), _x242)))))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), ok(a))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(f(proper(_x251), proper(_x252)), proper(_x242))))))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(b, f(b, f(_x141, b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(ok(b), f(proper(_x141), ok(b))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(b, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(b), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(b, f(f(_x191, f(_x221, f(_x211, _x212))), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(ok(b), f(f(proper(_x191), f(proper(_x221), f(proper(_x211), proper(_x212)))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, b), f(f(_x191, _x192), f(b, f(b, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), ok(b)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(ok(b), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(b, _x222)), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(b, f(f(_x191, f(_x221, a)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(ok(b), f(f(proper(_x191), f(proper(_x221), ok(a))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, a)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), ok(a))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(a, _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(ok(a), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(f(_x161, _x162), f(f(_x191, _x192), f(_x181, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(proper(_x181), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(f(_x161, _x162), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(a, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(ok(a), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(a, b), b))) → top#(f(f(ok(a), ok(b)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(a, a), f(b, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), ok(a)), f(ok(b), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(b, f(a, f(f(b, _x132), b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(ok(a), f(f(ok(b), proper(_x132)), ok(b))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(f(b, _x132), f(_x141, f(f(_x191, f(b, b)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(f(ok(b), proper(_x132)), f(proper(_x141), f(f(proper(_x191), f(ok(b), ok(b))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(f(a, b), b)), f(a, f(f(b, b), f(f(a, b), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(ok(a), ok(b)), ok(b))), f(ok(a), f(f(ok(b), ok(b)), f(f(ok(a), ok(b)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(_x161, _x162), f(f(_x191, f(f(f(_x211, _x212), _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(f(f(proper(_x211), proper(_x212)), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(_x161, _x162), f(f(_x191, _x192), f(_x181, _x182)))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(proper(_x181), proper(_x182))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, a)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), ok(a))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(_x131, a), f(f(b, _x162), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(proper(_x131), ok(a)), f(f(ok(b), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, a), f(f(a, _x192), f(_x181, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), ok(a)), f(f(ok(a), proper(_x192)), f(proper(_x181), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), f(f(_x151, _x152), b)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), f(f(proper(_x151), proper(_x152)), ok(b))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(_x131, b), f(f(b, _x162), f(f(a, f(f(b, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(proper(_x131), ok(b)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(ok(b), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(a, f(f(b, _x162), f(f(a, _x192), f(_x181, f(_x211, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(ok(a), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(proper(_x211), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(f(_x141, f(_x151, _x152)), _x132), f(f(b, _x162), f(f(a, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(f(proper(_x141), f(proper(_x151), proper(_x152))), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, f(f(_x161, _x162), _x152))))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), f(f(proper(_x161), proper(_x162)), proper(_x152)))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(f(b, _x132), f(_x141, f(f(b, f(b, _x222)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(f(ok(b), proper(_x132)), f(proper(_x141), f(f(ok(b), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(b, _x222)), _x172))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(a, b), f(_x111, f(_x141, f(f(_x191, f(b, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), ok(b)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, a)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), ok(a))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(_x111, f(f(_x161, _x162), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(f(b, _x132), f(_x141, f(f(a, f(b, _x222)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(f(ok(b), proper(_x132)), f(proper(_x141), f(f(ok(a), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(f(a, b), f(f(_x141, _x142), _x122)))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(ok(a), ok(b)), f(f(proper(_x141), proper(_x142)), proper(_x122))))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(_x141, f(f(_x191, f(b, a)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), ok(a))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(f(_x151, _x152), b)), f(_x111, f(f(b, b), f(f(a, _x192), f(b, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(proper(_x151), proper(_x152)), ok(b))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(ok(b), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(b, _x192), f(b, f(f(_x221, _x222), _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(b), proper(_x192)), f(ok(b), f(f(proper(_x221), proper(_x222)), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(_x51, f(_x61, _x62)), _x42), b))) → top#(f(f(f(proper(_x51), f(proper(_x61), proper(_x62))), proper(_x42)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(_x111, f(f(_x161, _x162), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, f(f(_x191, _x192), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), proper(_x192)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(_x161, _x162), f(f(_x191, _x192), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), proper(_x192)), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, b)), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), ok(b))), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(b, f(_x111, _x112))), a), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(proper(_x111), proper(_x112)))), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(_x141, f(f(_x191, f(b, b)), _x172))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), ok(b))), proper(_x172)))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, _x82)), a), b), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), proper(_x82))), ok(a)), ok(b)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(f(a, b), b)), f(a, f(f(b, b), f(f(a, _x192), f(b, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(ok(a), ok(b)), ok(b))), f(ok(a), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(ok(b), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(b, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(ok(b), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(f(_x131, _x132), f(_x141, f(f(b, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(proper(_x141), f(f(ok(b), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(f(_x151, _x152), b)), f(_x111, f(f(b, b), f(f(a, _x192), f(f(_x201, _x202), f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(f(proper(_x151), proper(_x152)), ok(b))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(f(proper(_x201), proper(_x202)), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), _x102), f(_x111, f(_x141, f(f(f(_x201, _x202), f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(f(proper(_x201), proper(_x202)), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(f(_x131, _x132), f(_x141, f(f(_x191, f(b, _x222)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(f(proper(_x131), proper(_x132)), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), ok(f(b, b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(b, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(ok(b), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, f(_x171, _x172)), f(f(_x191, _x192), f(b, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), f(proper(_x171), proper(_x172))), f(f(proper(_x191), proper(_x192)), f(ok(b), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(_x61, _x62), b), a), b))) → top#(f(f(f(f(proper(_x61), proper(_x62)), ok(b)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, _x142)))), a), f(a, a)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), proper(_x142))))), ok(a)), f(ok(a), ok(a))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(_x131, _x132), f(f(b, _x162), f(f(a, f(f(b, b), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(ok(b), ok(b)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(_x111, f(b, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(proper(_x111), f(ok(b), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(a, f(a, f(f(a, _x92), _x82))), b))) → top#(f(f(ok(a), f(ok(a), f(f(ok(a), proper(_x92)), proper(_x82)))), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, _x112))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), proper(_x112)))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(_x161, _x162), f(f(_x191, f(f(a, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(f(ok(a), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(_x161, a), f(f(_x191, _x192), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(proper(_x161), ok(a)), f(f(proper(_x191), proper(_x192)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(b, f(_x121, a)))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(b), f(proper(_x121), ok(a))))), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(a, b), f(f(b, _x132), f(_x141, f(f(_x191, f(b, _x222)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), ok(b)), f(f(ok(b), proper(_x132)), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(a, f(a, f(b, _x82))), b))) → top#(f(f(ok(a), f(ok(a), f(ok(b), proper(_x82)))), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, b))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), ok(b)))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, _x112))), a), f(_x61, f(_x91, _x92))), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), proper(_x112)))), ok(a)), f(proper(_x61), f(proper(_x91), proper(_x92)))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, f(_x131, _x132)), f(b, _x142)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), f(proper(_x131), proper(_x132))), f(ok(b), proper(_x142))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(b, _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(ok(b), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(_x111, f(_x141, b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(proper(_x111), f(proper(_x141), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, a)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(f(_x251, _x252), f(_x251, _x252))))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), ok(a))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(f(proper(_x251), proper(_x252)), f(proper(_x251), proper(_x252)))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(b, a))) → top#(f(ok(b), ok(a)))top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, _x122), f(b, _x142)))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), proper(_x122)), f(ok(b), proper(_x142))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, _x132)), f(f(_x131, _x132), f(f(b, _x162), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), proper(_x132))), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(f(_x131, _x132), f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(b, f(_x141, f(_x171, _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(ok(b), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), _x102), f(a, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), proper(_x102)), f(ok(a), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, a), a), a), a), b))) → top#(f(f(f(f(ok(f(a, a)), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(_x141, f(f(_x191, f(b, b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(f(_x151, b), b)), f(f(_x131, _x132), f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(proper(_x151), ok(b)), ok(b))), f(f(proper(_x131), proper(_x132)), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), _x102), f(_x111, f(_x141, f(f(_x191, f(a, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(a), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(b, f(_x51, a)))) → top#(f(ok(b), f(proper(_x51), ok(a))))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(f(_x141, _x142), a)))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(f(proper(_x141), proper(_x142)), ok(a))))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(a, f(_x51, b)))) → top#(f(ok(a), f(proper(_x51), ok(b))))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(b, a), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(ok(b), ok(a)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(b, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(ok(b), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(a, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(a), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, b), f(f(_x191, _x192), f(b, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), ok(b)), f(f(proper(_x191), proper(_x192)), f(ok(b), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(a, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(ok(a), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(a, f(f(b, b), b)))) → top#(f(ok(a), f(ok(f(b, b)), proper(_x52))))top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(_x141, f(_x171, b))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(proper(_x141), f(proper(_x171), ok(b)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(f(_x131, _x132), f(f(b, _x162), f(f(a, _x192), f(_x181, f(_x211, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(proper(_x211), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(b, f(_x221, _x222)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(ok(b), f(proper(_x221), proper(_x222))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(_x141, f(_x171, f(_x181, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(proper(_x141), f(proper(_x171), f(proper(_x181), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, _x122), f(_x141, b)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), proper(_x122)), f(proper(_x141), ok(b))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x211, _x212), b)), f(_x201, _x202)))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x211), proper(_x212)), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), f(f(b, _x162), f(f(a, a), f(_x181, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), ok(a)), f(proper(_x181), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(f(a, b), b)), f(a, f(f(b, b), f(f(a, _x192), f(_x181, f(a, b))))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(ok(a), ok(b)), ok(b))), f(ok(a), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), ok(b)))))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(_x131, _x132), f(f(b, _x162), f(f(a, f(f(_x241, _x242), b)), a))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(f(a, b), b)), f(a, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(ok(a), ok(b)), ok(b))), f(ok(a), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(f(_x141, _x142), _x132), f(f(b, _x162), f(f(a, f(f(_x241, a), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(f(proper(_x141), proper(_x142)), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(proper(_x241), ok(a)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(f(_x131, _x132), f(f(_x161, _x162), f(f(_x191, _x192), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x131), proper(_x132)), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), proper(_x192)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(f(a, _x122), _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(ok(a), proper(_x122)), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(f(_x131, a), f(b, f(f(_x191, f(b, _x222)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(f(proper(_x131), ok(a)), f(ok(b), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), f(f(b, _x162), f(f(_x191, _x192), f(b, f(b, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(ok(b), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(b, f(a, _x112))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(ok(a), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(b, f(a, b)))) → top#(f(ok(b), f(ok(a), ok(b))))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(f(_x131, _x132), f(f(_x161, _x162), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(f(_x111, _x112), _x102), f(_x111, _x112))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x111), proper(_x112)), proper(_x102)), f(proper(_x111), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, a), f(_x111, f(f(_x161, _x162), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), ok(a)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(b, f(_x141, f(_x151, _x152))))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(b), f(proper(_x141), f(proper(_x151), proper(_x152)))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(b, f(_x111, f(f(_x161, _x162), f(f(_x191, _x192), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), proper(_x192)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(b, f(f(_x191, f(b, _x222)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(ok(b), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(f(_x151, b), b)), f(a, f(f(b, b), f(f(a, f(_x181, _x182)), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(proper(_x151), ok(b)), ok(b))), f(ok(a), f(f(ok(b), ok(b)), f(f(ok(a), f(proper(_x181), proper(_x182))), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(b, f(_x171, _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(ok(b), f(proper(_x171), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(f(a, b), b)), f(a, f(f(b, b), f(f(a, b), f(_x181, f(a, b))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(ok(a), ok(b)), ok(b))), f(ok(a), f(f(ok(b), ok(b)), f(f(ok(a), ok(b)), f(proper(_x181), f(ok(a), ok(b)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(_x111, a))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(proper(_x111), ok(a)))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, _x122), b))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), proper(_x122)), ok(b)))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(_x111, _x112))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(proper(_x111), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(f(b, _x132), f(_x141, f(f(_x191, f(b, a)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(f(ok(b), proper(_x132)), f(proper(_x141), f(f(proper(_x191), f(ok(b), ok(a))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x241, f(_x251, _x252)), b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), f(proper(_x251), proper(_x252))), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(b, f(_x111, f(f(b, _x162), f(f(_x191, _x192), f(b, f(_x211, _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(proper(_x211), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(b, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(ok(b), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(f(a, _x242), b)), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(ok(a), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(a, f(_x201, _x202)), f(_x181, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), f(proper(_x201), proper(_x202))), f(proper(_x181), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), f(f(f(_x151, _x152), _x162), f(f(_x191, _x192), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), f(f(f(proper(_x151), proper(_x152)), proper(_x162)), f(f(proper(_x191), proper(_x192)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), _x102), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(_x211, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), proper(_x102)), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(proper(_x211), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(f(f(_x141, _x142), _x132), f(b, f(f(_x191, f(b, _x222)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(f(f(proper(_x141), proper(_x142)), proper(_x132)), f(ok(b), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(f(_x131, _x132), f(_x141, f(f(_x191, f(b, _x222)), a))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(f(proper(_x131), proper(_x132)), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), ok(a)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(f(b, _x162), f(f(_x191, _x192), f(b, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(_x191, b), f(b, f(f(_x221, _x222), _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), ok(b)), f(ok(b), f(f(proper(_x221), proper(_x222)), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(b, f(_x111, f(f(b, _x162), f(f(_x191, _x192), f(b, f(f(_x221, _x222), _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(f(proper(_x221), proper(_x222)), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(_x191, f(_x201, _x202)), f(b, f(b, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), f(proper(_x201), proper(_x202))), f(ok(b), f(ok(b), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(f(_x151, b), b)), f(_x111, f(f(b, b), f(f(a, f(_x201, _x202)), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(proper(_x151), ok(b)), ok(b))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), f(proper(_x201), proper(_x202))), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(a, f(_x141, f(_x171, _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(a), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(_x161, _x162), f(_x171, _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(proper(_x171), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(b, _x162), f(f(a, _x192), f(a, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(ok(a), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(_x41, f(_x51, _x52)), b))) → top#(f(f(proper(_x41), f(proper(_x51), proper(_x52))), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(b, _x162), f(f(_x191, _x192), f(b, f(f(_x221, _x222), _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(f(proper(_x221), proper(_x222)), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(b, b), f(f(_x191, _x192), f(b, f(_x211, _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(ok(b), ok(b)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(proper(_x211), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, a), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), ok(a)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(a, b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(ok(a), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(f(b, _x132), f(_x141, f(f(_x191, f(b, f(_x201, _x202))), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(f(ok(b), proper(_x132)), f(proper(_x141), f(f(proper(_x191), f(ok(b), f(proper(_x201), proper(_x202)))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(_x191, _x192), f(b, f(_x211, a))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(proper(_x211), ok(a)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, _x182)))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), proper(_x182))))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(f(b, _x132), f(f(_x161, _x162), f(f(_x191, _x192), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(ok(b), proper(_x132)), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), proper(_x192)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(b, _x132)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(ok(b), proper(_x132))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, f(_x131, _x132)), _x112))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), f(proper(_x131), proper(_x132))), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(_x111, f(f(_x161, f(_x171, _x172)), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(proper(_x111), f(f(proper(_x161), f(proper(_x171), proper(_x172))), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(f(b, _x132), f(_x141, f(f(f(_x171, _x172), f(b, _x222)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(f(ok(b), proper(_x132)), f(proper(_x141), f(f(f(proper(_x171), proper(_x172)), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(a, b), f(_x111, f(_x141, f(f(_x191, f(b, b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), ok(b)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(f(_x151, _x152), b)), f(f(_x131, _x132), f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(proper(_x151), proper(_x152)), ok(b))), f(f(proper(_x131), proper(_x132)), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(f(_x141, _x142), _x132), f(f(b, _x162), f(f(a, f(f(_x241, _x242), b)), a))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(f(proper(_x141), proper(_x142)), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(_x71, _x72), _x62), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(proper(_x71), proper(_x72)), proper(_x62)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(a, a), f(_x111, f(f(_x131, _x132), b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), ok(a)), f(proper(_x111), f(f(proper(_x131), proper(_x132)), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(_x211, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(proper(_x211), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(_x191, _x192), f(b, f(_x211, _x212))))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(proper(_x211), proper(_x212)))))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(_x111, f(a, b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(proper(_x111), f(ok(a), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(a, _x132)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(_x241, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(ok(a), proper(_x132))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(a, a)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(f(_x251, _x252), _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(ok(a), ok(a))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(f(proper(_x251), proper(_x252)), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(f(_x141, _x142), a)))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(f(proper(_x141), proper(_x142)), ok(a))))), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, a)), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), ok(a))), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(f(_x151, f(_x181, _x182)), _x132)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(f(proper(_x151), f(proper(_x181), proper(_x182))), proper(_x132))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(f(_x151, a), b)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(proper(_x151), ok(a)), ok(b))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(b, f(f(_x131, _x132), b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(ok(b), f(f(proper(_x131), proper(_x132)), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(a, f(a, f(f(_x91, a), _x82))), b))) → top#(f(f(ok(a), f(ok(a), f(f(proper(_x91), ok(a)), proper(_x82)))), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(b, _x132)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(ok(b), proper(_x132))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, a)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), ok(a))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(_x111, f(_x141, f(f(b, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(ok(b), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(f(a, _x152), b)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(ok(a), proper(_x152)), ok(b))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(_x111, f(_x141, f(f(b, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(proper(_x111), f(proper(_x141), f(f(ok(b), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), _x102), f(_x111, f(_x141, f(f(a, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(ok(a), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x121, b)))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x121), ok(b))))), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(f(b, _x162), f(f(a, a), f(_x181, f(a, f(_x241, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), ok(a)), f(proper(_x181), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(_x141, f(f(b, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(proper(_x141), f(f(ok(b), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(_x141, f(f(f(_x211, _x212), f(b, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(proper(_x141), f(f(f(proper(_x211), proper(_x212)), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(f(b, _x162), f(f(_x191, _x192), f(b, f(b, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(ok(b), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(_x111, _x112))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(proper(_x111), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(f(_x231, _x232), _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(f(proper(_x231), proper(_x232)), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(_x41, _x42), _x22))) → top#(f(f(proper(_x41), proper(_x42)), proper(_x22)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(f(b, _x242), b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(ok(b), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, _x142)))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), proper(_x142))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(b, f(_x141, f(_x171, _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(b), f(proper(_x141), f(proper(_x171), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(a, f(_x131, _x132)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(_x241, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(f(_x131, _x132), f(_x141, f(f(_x191, f(b, _x222)), f(_x181, _x182)))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(f(proper(_x131), proper(_x132)), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), f(proper(_x181), proper(_x182))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, f(f(_x191, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(b, f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(ok(b), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, a)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(f(_x251, f(_x261, _x262)), _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), ok(a))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(f(proper(_x251), f(proper(_x261), proper(_x262))), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, b), f(f(_x191, _x192), f(b, f(f(_x221, _x222), _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), ok(b)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(f(proper(_x221), proper(_x222)), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, b)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), ok(b))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), f(f(_x161, _x162), f(f(_x191, b), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), ok(b)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(b, f(b, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(ok(b), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(b, f(f(_x191, f(f(_x241, _x242), b)), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(ok(b), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, _x142)))), a), f(a, a)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), proper(_x142))))), ok(a)), f(ok(a), ok(a))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(_x111, f(f(b, a), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(proper(_x111), f(f(ok(b), ok(a)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(f(_x211, _x212), f(f(_x241, _x242), b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(f(proper(_x211), proper(_x212)), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(f(a, b), a))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(ok(a), ok(b)), ok(a)))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(_x111, f(_x141, f(f(_x191, f(b, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(f(a, b), b)), f(a, f(f(b, b), f(f(a, _x192), f(f(_x191, _x192), f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(ok(a), ok(b)), ok(b))), f(ok(a), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(f(proper(_x191), proper(_x192)), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(_x191, f(_x201, _x202)), f(b, f(f(_x221, _x222), _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), f(proper(_x201), proper(_x202))), f(ok(b), f(f(proper(_x221), proper(_x222)), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, b), f(_x111, f(f(b, _x162), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), ok(b)), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(a, _x112))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(ok(a), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(b, f(f(_x161, _x162), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(ok(b), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(a, f(_x51, f(_x81, _x82))), b))) → top#(f(f(ok(a), f(proper(_x51), f(proper(_x81), proper(_x82)))), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(b, a)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(f(_x251, _x252), _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(ok(b), ok(a))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(f(proper(_x251), proper(_x252)), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(a, f(a, _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(ok(a), f(ok(a), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(b, _x52), _x42), b))) → top#(f(f(f(ok(b), proper(_x52)), proper(_x42)), ok(b)))top#(mark(f(f(_x41, _x42), a))) → top#(f(f(proper(_x41), proper(_x42)), ok(a)))
top#(mark(f(f(f(f(f(a, f(b, f(_x111, f(f(_x131, a), b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(proper(_x111), f(f(proper(_x131), ok(a)), ok(b))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(f(_x121, _x122), f(_x121, _x122)))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(f(proper(_x121), proper(_x122)), f(proper(_x121), proper(_x122))))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(b, f(a, f(_x171, a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(ok(b), f(ok(a), f(proper(_x171), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), f(f(b, _x162), f(f(_x191, _x192), f(_x181, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(proper(_x181), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(b, f(_x121, a)))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(b), f(proper(_x121), ok(a))))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, a)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(_x241, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), ok(a))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(b, f(b, f(a, f(_x171, _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(ok(b), f(ok(a), f(proper(_x171), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(_x51, _x52), f(_x51, _x52)), b))) → top#(f(f(f(proper(_x51), proper(_x52)), f(proper(_x51), proper(_x52))), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, b))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), ok(b)))), ok(a)), ok(a)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(_x211, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(proper(_x211), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(a, f(f(a, b), f(f(_x81, _x82), _x62))))) → top#(f(ok(a), f(f(ok(a), ok(b)), f(f(proper(_x81), proper(_x82)), proper(_x62)))))top#(mark(f(f(f(f(f(a, f(f(_x101, f(f(_x151, _x152), _x132)), f(_x111, f(f(b, b), f(f(a, _x192), f(a, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(f(proper(_x151), proper(_x152)), proper(_x132))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(ok(a), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(_x191, b), f(_x181, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), ok(b)), f(proper(_x181), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(_x141, f(f(_x191, f(b, _x222)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), ok(f(b, b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, _x142)))), a), f(_x61, a)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), proper(_x142))))), ok(a)), f(proper(_x61), ok(a))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, f(_x211, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), f(proper(_x211), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), a), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), ok(a)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(b, f(a, f(f(f(_x151, _x152), _x132), b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(ok(a), f(f(f(proper(_x151), proper(_x152)), proper(_x132)), ok(b))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, b), f(f(a, _x192), f(b, f(_x211, _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(ok(b), f(proper(_x211), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(f(_x141, _x142), _x132), f(f(b, f(_x171, _x172)), f(f(a, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(f(proper(_x141), proper(_x142)), proper(_x132)), f(f(ok(b), f(proper(_x171), proper(_x172))), f(f(ok(a), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(_x131, _x132), f(f(b, _x162), f(f(_x191, f(f(b, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(proper(_x191), f(f(ok(b), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(_x211, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(proper(_x211), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(b, a)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(_x241, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(ok(b), ok(a))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(f(_x151, _x152), _x132)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, a))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(f(proper(_x151), proper(_x152)), proper(_x132))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), ok(a)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(b, f(f(_x191, f(b, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(ok(b), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(_x241, _x242)))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(_x111, f(f(_x161, _x162), f(f(_x191, f(f(b, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(f(ok(b), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(f(_x121, _x122), _x112))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(f(proper(_x121), proper(_x122)), proper(_x112)))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(a, f(b, b)))) → top#(f(ok(a), f(ok(b), ok(b))))top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(_x21, f(_x51, _x52)))) → top#(f(proper(_x21), f(proper(_x51), proper(_x52))))top#(mark(f(f(f(f(f(a, f(f(b, b), f(f(_x131, _x132), f(_x141, f(f(_x191, f(b, _x222)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), ok(b)), f(f(proper(_x131), proper(_x132)), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, f(_x171, _x172)), f(f(_x191, _x192), f(b, f(_x211, _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), f(proper(_x171), proper(_x172))), f(f(proper(_x191), proper(_x192)), f(ok(b), f(proper(_x211), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, b)))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), ok(b))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(_x51, b), a), b))) → top#(f(f(f(proper(_x51), ok(b)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(f(f(_x141, _x142), b), b)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(f(proper(_x141), proper(_x142)), ok(b)), ok(b))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(_x131, _x132), f(f(b, b), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), ok(b)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(f(_x141, _x142), b), f(f(b, _x162), f(f(a, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(f(proper(_x141), proper(_x142)), ok(b)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, b), f(f(_x191, _x192), f(b, f(_x211, _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), ok(b)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(proper(_x211), proper(_x212)))))))), ok(a)), ok(f(b, b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(b, f(a, f(_x171, a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(ok(b), f(ok(a), f(proper(_x171), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, _x132)), f(b, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(_x241, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), proper(_x132))), f(ok(b), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(_x161, _x162), f(f(_x191, _x192), f(f(_x201, _x202), _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(f(proper(_x201), proper(_x202)), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(a, f(f(b, _x162), f(f(a, a), f(a, _x182)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(a), f(f(ok(b), proper(_x162)), f(f(ok(a), ok(a)), f(ok(a), proper(_x182))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(_x141, f(f(_x191, f(f(_x241, _x242), b)), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, _x142)))), a), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), proper(_x142))))), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(f(a, b), b)), f(a, f(f(b, b), f(f(a, _x192), f(_x181, f(a, f(_x221, _x222)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(ok(a), ok(b)), ok(b))), f(ok(a), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(proper(_x221), proper(_x222))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(_x131, _x132), f(f(b, _x162), f(f(_x191, f(f(_x241, b), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), ok(b)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(a, b))), a), a), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(a), ok(b)))), ok(a)), ok(a)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(a, f(_x171, _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(ok(a), f(proper(_x171), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(f(_x121, b), _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), ok(b)), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(_x111, f(f(_x161, _x162), f(f(_x191, f(f(a, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(f(ok(a), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(b, f(f(_x231, _x232), _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(ok(b), f(f(proper(_x231), proper(_x232)), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(f(_x151, _x152), _x132)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(f(proper(_x151), proper(_x152)), proper(_x132))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(f(_x131, _x132), f(f(_x161, _x162), f(f(_x191, _x192), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(f(proper(_x131), proper(_x132)), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), proper(_x192)), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(b, a)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), ok(a))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(a, _x202)))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(ok(a), proper(_x202))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(f(_x121, _x122), b), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, _x202)))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(f(proper(_x121), proper(_x122)), ok(b)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(a, f(_x201, _x202)), f(_x181, f(_x211, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), f(proper(_x201), proper(_x202))), f(proper(_x181), f(proper(_x211), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(_x191, _x192), f(b, f(f(_x221, _x222), a))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(f(proper(_x221), proper(_x222)), ok(a)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(f(b, b), f(f(_x191, _x192), f(b, f(_x211, _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(f(ok(b), ok(b)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(proper(_x211), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(a, f(f(_x191, f(f(_x241, _x242), b)), _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(ok(a), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, _x72), f(_x71, _x72)), _x52), a), b))) → top#(f(f(f(f(f(ok(a), proper(_x72)), f(proper(_x71), proper(_x72))), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, a), a), _x52), a), b))) → top#(f(f(f(f(ok(f(a, a)), ok(a)), proper(_x52)), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(_x241, _x242)))))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(a, _x102), f(_x111, f(_x141, f(f(b, f(_x221, b)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(a), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(ok(b), f(proper(_x221), ok(b))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(a, _x112))), a), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(a), proper(_x112)))), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(b, f(a, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(ok(b), f(ok(a), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(b, f(_x111, f(_x141, b)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(proper(_x111), f(proper(_x141), ok(b))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(a, f(_x151, _x152))))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(ok(a), f(proper(_x151), proper(_x152)))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(b, f(f(_x191, f(f(_x201, _x202), _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(ok(b), f(f(proper(_x191), f(f(proper(_x201), proper(_x202)), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(f(_x181, _x182), _x192), f(b, f(f(_x221, _x222), _x212))))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(f(proper(_x181), proper(_x182)), proper(_x192)), f(ok(b), f(f(proper(_x221), proper(_x222)), proper(_x212)))))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(_x111, f(f(b, b), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(proper(_x111), f(f(ok(b), ok(b)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, a))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), ok(a)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(a, _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(ok(a), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(_x111, f(f(_x131, _x132), b)))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(proper(_x111), f(f(proper(_x131), proper(_x132)), ok(b))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(_x111, f(_x141, f(f(_x191, f(f(b, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(f(ok(b), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(f(a, b), b)), f(a, f(f(b, b), f(f(a, _x192), f(a, f(a, b))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(ok(a), ok(b)), ok(b))), f(ok(a), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(ok(a), f(ok(a), ok(b)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(f(_x141, _x142), _x132), f(f(b, _x162), f(f(a, f(f(_x241, b), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(f(proper(_x141), proper(_x142)), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(proper(_x241), ok(b)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(f(_x131, _x132), f(_x141, f(f(_x191, f(b, a)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(f(proper(_x131), proper(_x132)), f(proper(_x141), f(f(proper(_x191), f(ok(b), ok(a))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(b, b)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(ok(b), ok(b))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(a, f(_x141, _x142)))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(a), f(proper(_x141), proper(_x142))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(a, b), b))) → top#(f(ok(f(a, b)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(b, f(a, f(_x171, _x172))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(ok(b), f(ok(a), f(proper(_x171), proper(_x172)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(b, a)))), a), _x52), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(ok(b), ok(a))))), ok(a)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(b, f(_x221, _x222)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(ok(b), f(proper(_x221), proper(_x222))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(_x51, _x52), b), b))) → top#(f(f(f(proper(_x51), proper(_x52)), ok(b)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, a), f(_x111, f(f(_x131, _x132), b)))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(a)), f(proper(_x111), f(f(proper(_x131), proper(_x132)), ok(b))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(f(_x151, b), b)), f(_x111, f(f(b, b), f(f(a, a), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(proper(_x151), ok(b)), ok(b))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), ok(a)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(a, _x142)))), a), f(a, a)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(ok(a), proper(_x142))))), ok(a)), f(ok(a), ok(a))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(f(_x151, _x152), b)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, f(_x241, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(proper(_x151), proper(_x152)), ok(b))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(f(b, a), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), ok(a)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(b, f(f(_x61, _x62), b)))) → top#(f(ok(b), f(f(proper(_x61), proper(_x62)), ok(b))))
top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(_x131, _x132), f(f(b, f(_x171, _x172)), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), f(proper(_x171), proper(_x172))), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(b, f(_x111, f(_x141, _x142)))), a), f(a, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(proper(_x111), f(proper(_x141), proper(_x142))))), ok(a)), f(ok(a), proper(_x62))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(_x161, _x162), f(f(_x191, _x192), f(_x181, b)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(proper(_x181), ok(b))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(f(b, _x132), f(_x141, f(f(_x191, f(b, _x222)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(f(ok(b), proper(_x132)), f(proper(_x141), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), ok(f(b, b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, b), f(f(_x191, _x192), f(b, f(_x211, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), ok(b)), f(f(proper(_x191), proper(_x192)), f(ok(b), f(proper(_x211), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(_x191, _x192), f(b, a)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(ok(b), ok(a))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(a, f(a, a)), b))) → top#(f(f(ok(a), f(ok(a), ok(a))), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(f(_x191, f(_x221, _x222)), b))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), proper(_x222))), ok(b)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, a)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(b, f(a, f(_x241, _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), ok(a))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(ok(b), f(ok(a), f(proper(_x241), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(f(a, b), b)), f(a, f(f(b, b), f(f(a, _x192), f(a, f(a, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(ok(a), ok(b)), ok(b))), f(ok(a), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(ok(a), f(ok(a), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(b, f(_x111, f(_x141, _x142)))), a), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(b), f(proper(_x111), f(proper(_x141), proper(_x142))))), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, _x132)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(_x241, a)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), proper(_x132))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(proper(_x241), ok(a))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, _x82)), a), f(_x61, _x62)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), proper(_x82))), ok(a)), f(proper(_x61), proper(_x62))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(_x141, f(f(_x191, f(_x221, b)), f(_x201, b)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), ok(b))), f(proper(_x201), ok(b))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(a, _x162), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(ok(a), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(b, _x162), f(f(a, b), f(_x181, f(_x211, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), ok(b)), f(proper(_x181), f(proper(_x211), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(b, _x162), f(f(_x191, _x192), f(_x181, f(_x211, _x212))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(proper(_x191), proper(_x192)), f(proper(_x181), f(proper(_x211), proper(_x212)))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(_x71, b), _x62), _x52), a), b))) → top#(f(f(f(f(f(proper(_x71), ok(b)), proper(_x62)), proper(_x52)), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, f(_x131, a)), f(_x111, f(f(b, _x162), f(f(a, _x192), f(_x181, f(a, f(f(f(_x261, _x262), _x252), _x242)))))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(proper(_x131), ok(a))), f(proper(_x111), f(f(ok(b), proper(_x162)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), f(f(f(proper(_x261), proper(_x262)), proper(_x252)), proper(_x242))))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, b), f(_x111, f(_x141, f(f(b, f(b, _x222)), _x172))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), ok(b)), f(proper(_x111), f(proper(_x141), f(f(ok(b), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(_x51, a), _x42), b))) → top#(f(f(f(proper(_x51), ok(a)), proper(_x42)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, _x102), f(f(f(b, _x142), _x132), f(f(b, _x162), f(f(a, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), proper(_x102)), f(f(f(ok(b), proper(_x142)), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(_x101, _x102), f(_x111, f(f(_x161, _x162), f(f(_x191, f(b, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), proper(_x102)), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), f(ok(b), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(f(_x161, _x162), f(f(_x191, a), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(f(proper(_x161), proper(_x162)), f(f(proper(_x191), ok(a)), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, b), f(f(_x131, _x132), f(f(b, _x162), f(f(_x191, f(f(_x241, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), ok(b)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(proper(_x191), f(f(proper(_x241), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(_x101, f(_x131, _x132)), f(_x111, f(_x141, f(f(b, f(_x221, _x222)), _x172))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(proper(_x101), f(proper(_x131), proper(_x132))), f(proper(_x111), f(proper(_x141), f(f(ok(b), f(proper(_x221), proper(_x222))), proper(_x172)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(a, f(_x111, f(_x141, f(_x171, b))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(a), f(proper(_x111), f(proper(_x141), f(proper(_x171), ok(b)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, f(f(_x191, f(_x221, _x222)), f(_x201, _x202)))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), f(f(proper(_x191), f(proper(_x221), proper(_x222))), f(proper(_x201), proper(_x202))))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, _x142)))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), proper(_x142))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, f(f(_x151, _x152), b)), f(_x111, f(f(b, b), f(f(a, _x192), f(_x181, f(a, _x212))))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), f(f(proper(_x151), proper(_x152)), ok(b))), f(proper(_x111), f(f(ok(b), ok(b)), f(f(ok(a), proper(_x192)), f(proper(_x181), f(ok(a), proper(_x212)))))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(_x81, f(_x111, f(_x141, b)))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(proper(_x81), f(proper(_x111), f(proper(_x141), ok(b))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))

Rewrite Rules

active(f(X, X)) → mark(f(a, b))active(b) → mark(a)
active(f(X1, X2)) → f(active(X1), X2)f(mark(X1), X2) → mark(f(X1, X2))
proper(f(X1, X2)) → f(proper(X1), proper(X2))proper(a) → ok(a)
proper(b) → ok(b)f(ok(X1), ok(X2)) → ok(f(X1, X2))
top(mark(X)) → top(proper(X))top(ok(X)) → top(active(X))

Original Signature

Termination of terms over the following signature is verified: f, b, a, active, mark, ok, proper, top

Strategy

The right-hand side of the rule top#(mark(f(f(f(f(f(a, f(f(b, a), f(f(_x131, _x132), f(f(b, _x162), f(f(a, f(f(b, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), ok(a)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(ok(b), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b))) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
top#(f(f(f(f(f(ok(a), f(f(ok(b), ok(a)), f(f(ok(b), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(ok(b), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b))) 
top#(f(f(f(f(f(ok(a), f(f(ok(b), ok(a)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), ok(a)), f(f(ok(a), f(f(ok(b), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b))) 
top#(f(f(f(f(f(ok(a), f(f(ok(b), ok(a)), f(f(ok(a), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(ok(b), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b))) 
top#(f(f(f(f(f(ok(a), f(f(ok(b), ok(a)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), f(proper(_x171), proper(_x172))), f(f(ok(a), f(f(ok(b), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b))) 
top#(f(f(f(f(f(ok(a), f(f(ok(b), ok(a)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(ok(b), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b))) 
top#(f(f(f(f(f(ok(a), f(f(ok(b), ok(a)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(ok(b), ok(b)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b))) 
top#(f(f(f(f(f(ok(a), f(f(ok(b), ok(a)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(ok(b), f(proper(_x211), proper(_x212))), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b))) 
top#(f(f(f(f(f(ok(a), f(f(ok(b), ok(a)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(ok(b), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b))) 
top#(f(f(f(f(f(ok(a), f(f(ok(b), ok(a)), f(f(proper(_x131), f(proper(_x141), proper(_x142))), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(ok(b), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b))) 
top#(f(f(f(f(f(ok(a), f(f(ok(b), ok(a)), f(f(proper(_x131), ok(b)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(ok(b), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b))) 
top#(f(f(f(f(f(ok(a), f(f(ok(b), ok(a)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(ok(b), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b))) 
top#(f(f(f(f(f(ok(a), f(ok(f(b, a)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(ok(b), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b))) 
top#(f(f(f(f(f(ok(a), f(f(ok(b), ok(a)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), ok(b)), f(f(ok(a), f(f(ok(b), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b))) 
top#(f(f(f(f(f(ok(a), f(f(ok(b), ok(a)), f(f(f(proper(_x141), proper(_x142)), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(ok(b), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b))) 
top#(f(f(f(f(f(ok(a), f(f(ok(b), ok(a)), f(f(proper(_x131), ok(a)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(ok(b), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b))) 
top#(f(f(f(f(f(ok(a), f(f(ok(b), ok(a)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(ok(b), ok(a)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b))) 
Thus, the rule top#(mark(f(f(f(f(f(a, f(f(b, a), f(f(_x131, _x132), f(f(b, _x162), f(f(a, f(f(b, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), ok(a)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(ok(b), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b))) is replaced by the following rules:
top#(mark(f(f(f(f(f(a, f(f(b, a), f(f(_x131, _x132), f(f(b, _x162), f(f(a, f(f(b, b), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), ok(a)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(ok(b), ok(b)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, a), f(f(_x131, _x132), f(f(b, _x162), f(f(a, f(f(b, _x242), b)), a))))), a), f(f(_x81, _x82), b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), ok(a)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(ok(b), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(f(proper(_x81), proper(_x82)), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, a), f(f(_x131, _x132), f(f(b, _x162), f(f(a, f(f(b, _x242), b)), a))))), a), f(b, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), ok(a)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(ok(b), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(ok(b), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, a), f(f(_x131, f(_x141, _x142)), f(f(b, _x162), f(f(a, f(f(b, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), ok(a)), f(f(proper(_x131), f(proper(_x141), proper(_x142))), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(ok(b), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, a), f(f(_x131, a), f(f(b, _x162), f(f(a, f(f(b, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), ok(a)), f(f(proper(_x131), ok(a)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(ok(b), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, a), f(f(_x131, _x132), f(f(b, _x162), f(f(a, f(f(b, f(_x211, _x212)), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), ok(a)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(ok(b), f(proper(_x211), proper(_x212))), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, a), f(f(_x131, b), f(f(b, _x162), f(f(a, f(f(b, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), ok(a)), f(f(proper(_x131), ok(b)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(ok(b), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, a), f(f(f(_x141, _x142), _x132), f(f(b, _x162), f(f(a, f(f(b, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), ok(a)), f(f(f(proper(_x141), proper(_x142)), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(ok(b), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, a), f(f(a, _x132), f(f(b, _x162), f(f(a, f(f(b, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), ok(a)), f(f(ok(a), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(ok(b), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, a), f(f(_x131, _x132), f(f(b, a), f(f(a, f(f(b, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), ok(a)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), ok(a)), f(f(ok(a), f(f(ok(b), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, a), f(f(b, _x132), f(f(b, _x162), f(f(a, f(f(b, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), ok(a)), f(f(ok(b), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(ok(b), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, a), f(f(_x131, _x132), f(f(b, f(_x171, _x172)), f(f(a, f(f(b, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), ok(a)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), f(proper(_x171), proper(_x172))), f(f(ok(a), f(f(ok(b), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, a), f(f(_x131, _x132), f(f(b, _x162), f(f(a, f(f(b, a), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), ok(a)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(ok(b), ok(a)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, a), f(f(_x131, _x132), f(f(b, _x162), f(f(a, f(f(b, _x242), b)), a))))), a), f(a, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), ok(a)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(ok(b), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(ok(a), ok(b))), ok(a)), ok(b)))
top#(mark(f(f(f(f(f(a, f(f(b, a), f(f(_x131, _x132), f(f(b, _x162), f(f(a, f(f(b, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(ok(f(b, a)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), proper(_x162)), f(f(ok(a), f(f(ok(b), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))top#(mark(f(f(f(f(f(a, f(f(b, a), f(f(_x131, _x132), f(f(b, b), f(f(a, f(f(b, _x242), b)), a))))), a), f(_x61, b)), a), b))) → top#(f(f(f(f(f(ok(a), f(f(ok(b), ok(a)), f(f(proper(_x131), proper(_x132)), f(f(ok(b), ok(b)), f(f(ok(a), f(f(ok(b), proper(_x242)), ok(b))), ok(a)))))), ok(a)), f(proper(_x61), ok(b))), ok(a)), ok(b)))