TIMEOUT

The TRS could not be proven terminating. The proof attempt took 60002 ms.

The following DP Processors were used


Problem 1 was processed with processor DependencyGraph (30ms).
 | – Problem 2 was processed with processor ForwardNarrowing (1ms).
 |    | – Problem 3 was processed with processor ForwardNarrowing (2ms).
 |    |    | – Problem 4 was processed with processor ForwardNarrowing (1ms).
 |    |    |    | – Problem 5 was processed with processor ForwardNarrowing (2ms).
 |    |    |    |    | – Problem 6 was processed with processor ForwardNarrowing (1ms).
 |    |    |    |    |    | – Problem 7 was processed with processor ForwardNarrowing (5ms).
 |    |    |    |    |    |    | – Problem 8 was processed with processor ForwardNarrowing (2ms).
 |    |    |    |    |    |    |    | – Problem 9 was processed with processor ForwardNarrowing (3ms).
 |    |    |    |    |    |    |    |    | – Problem 10 was processed with processor ForwardNarrowing (4ms).
 |    |    |    |    |    |    |    |    |    | – Problem 11 was processed with processor ForwardNarrowing (3ms).
 |    |    |    |    |    |    |    |    |    |    | – Problem 12 was processed with processor ForwardNarrowing (7ms).
 |    |    |    |    |    |    |    |    |    |    |    | – Problem 13 was processed with processor ForwardNarrowing (2ms).
 |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 14 was processed with processor ForwardNarrowing (1ms).
 |    |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 15 was processed with processor ForwardNarrowing (6ms).
 |    |    |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 16 was processed with processor ForwardNarrowing (3ms).
 |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 17 was processed with processor ForwardNarrowing (4ms).
 |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 18 was processed with processor ForwardNarrowing (1ms).
 |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 19 was processed with processor ForwardNarrowing (5ms).
 |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 20 was processed with processor ForwardNarrowing (3ms).
 |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 21 was processed with processor ForwardNarrowing (6ms).
 |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 22 was processed with processor ForwardNarrowing (21ms).
 |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 23 was processed with processor ForwardNarrowing (97ms).
 |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 24 was processed with processor ForwardNarrowing (356ms).
 |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 25 was processed with processor ForwardNarrowing (917ms).
 |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 26 remains open; application of the following processors failed [ForwardNarrowing (833ms), ForwardNarrowing (745ms), ForwardNarrowing (869ms), ForwardNarrowing (952ms), ForwardNarrowing (887ms), ForwardNarrowing (209ms), ForwardNarrowing (530ms), ForwardNarrowing (799ms), ForwardNarrowing (727ms), ForwardNarrowing (832ms), ForwardNarrowing (642ms), ForwardNarrowing (670ms), ForwardNarrowing (206ms), ForwardNarrowing (291ms), ForwardNarrowing (597ms), ForwardNarrowing (806ms), ForwardNarrowing (222ms), ForwardNarrowing (1160ms), ForwardNarrowing (timeout)].

The following open problems remain:

Open Dependency Pair Problem 2

Dependency Pairs

activate#(n__g(X)) → activate#(X)f#(g(X), Y) → f#(X, n__f(n__g(X), activate(Y)))
activate#(n__f(X1, X2)) → f#(activate(X1), X2)f#(g(X), Y) → activate#(Y)
activate#(n__f(X1, X2)) → activate#(X1)

Rewrite Rules

f(g(X), Y) → f(X, n__f(n__g(X), activate(Y)))f(X1, X2) → n__f(X1, X2)
g(X) → n__g(X)activate(n__f(X1, X2)) → f(activate(X1), X2)
activate(n__g(X)) → g(activate(X))activate(X) → X

Original Signature

Termination of terms over the following signature is verified: f, activate, g, n__f, n__g

Problem 1: DependencyGraph

Dependency Pair Problem

Dependency Pairs

activate#(n__g(X)) → activate#(X)f#(g(X), Y) → f#(X, n__f(n__g(X), activate(Y)))
activate#(n__g(X)) → g#(activate(X))activate#(n__f(X1, X2)) → f#(activate(X1), X2)
f#(g(X), Y) → activate#(Y)activate#(n__f(X1, X2)) → activate#(X1)

Rewrite Rules

f(g(X), Y) → f(X, n__f(n__g(X), activate(Y)))f(X1, X2) → n__f(X1, X2)
g(X) → n__g(X)activate(n__f(X1, X2)) → f(activate(X1), X2)
activate(n__g(X)) → g(activate(X))activate(X) → X

Original Signature

Termination of terms over the following signature is verified: activate, f, g, n__f, n__g

Strategy

The following SCCs where found

activate#(n__g(X)) → activate#(X)f#(g(X), Y) → f#(X, n__f(n__g(X), activate(Y)))
activate#(n__f(X1, X2)) → f#(activate(X1), X2)f#(g(X), Y) → activate#(Y)
activate#(n__f(X1, X2)) → activate#(X1)

Problem 2: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

activate#(n__g(X)) → activate#(X)f#(g(X), Y) → f#(X, n__f(n__g(X), activate(Y)))
activate#(n__f(X1, X2)) → f#(activate(X1), X2)f#(g(X), Y) → activate#(Y)
activate#(n__f(X1, X2)) → activate#(X1)

Rewrite Rules

f(g(X), Y) → f(X, n__f(n__g(X), activate(Y)))f(X1, X2) → n__f(X1, X2)
g(X) → n__g(X)activate(n__f(X1, X2)) → f(activate(X1), X2)
activate(n__g(X)) → g(activate(X))activate(X) → X

Original Signature

Termination of terms over the following signature is verified: activate, f, g, n__f, n__g

Strategy

The right-hand side of the rule activate#(n__f(X1, X2)) → f#(activate(X1), X2) 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
f#(_x21, X2) 
f#(g(activate(_x21)), X2) 
f#(f(activate(_x21), _x22), X2) 
Thus, the rule activate#(n__f(X1, X2)) → f#(activate(X1), X2) is replaced by the following rules:
activate#(n__f(_x21, X2)) → f#(_x21, X2)activate#(n__f(n__g(_x21), X2)) → f#(g(activate(_x21)), X2)
activate#(n__f(n__f(_x21, _x22), X2)) → f#(f(activate(_x21), _x22), X2)

Problem 3: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

activate#(n__g(X)) → activate#(X)activate#(n__f(_x21, X2)) → f#(_x21, X2)
activate#(n__f(n__g(_x21), X2)) → f#(g(activate(_x21)), X2)f#(g(X), Y) → f#(X, n__f(n__g(X), activate(Y)))
activate#(n__f(n__f(_x21, _x22), X2)) → f#(f(activate(_x21), _x22), X2)f#(g(X), Y) → activate#(Y)
activate#(n__f(X1, X2)) → activate#(X1)

Rewrite Rules

f(g(X), Y) → f(X, n__f(n__g(X), activate(Y)))f(X1, X2) → n__f(X1, X2)
g(X) → n__g(X)activate(n__f(X1, X2)) → f(activate(X1), X2)
activate(n__g(X)) → g(activate(X))activate(X) → X

Original Signature

Termination of terms over the following signature is verified: f, activate, g, n__f, n__g

Strategy

The right-hand side of the rule activate#(n__f(n__f(_x21, _x22), X2)) → f#(f(activate(_x21), _x22), X2) 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
f#(n__f(activate(_x21), _x32), X2) 
f#(f(f(activate(_x41), _x42), _x22), X2) 
f#(f(g(activate(_x41)), _x22), X2) 
f#(f(_x41, _x22), X2) 
Thus, the rule activate#(n__f(n__f(_x21, _x22), X2)) → f#(f(activate(_x21), _x22), X2) is replaced by the following rules:
activate#(n__f(n__f(_x41, _x22), X2)) → f#(f(_x41, _x22), X2)activate#(n__f(n__f(n__g(_x41), _x22), X2)) → f#(f(g(activate(_x41)), _x22), X2)
activate#(n__f(n__f(n__f(_x41, _x42), _x22), X2)) → f#(f(f(activate(_x41), _x42), _x22), X2)activate#(n__f(n__f(_x21, _x32), X2)) → f#(n__f(activate(_x21), _x32), X2)

Problem 4: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

activate#(n__f(n__f(_x41, _x22), X2)) → f#(f(_x41, _x22), X2)activate#(n__g(X)) → activate#(X)
activate#(n__f(n__f(n__g(_x41), _x22), X2)) → f#(f(g(activate(_x41)), _x22), X2)activate#(n__f(n__g(_x21), X2)) → f#(g(activate(_x21)), X2)
activate#(n__f(_x21, X2)) → f#(_x21, X2)f#(g(X), Y) → f#(X, n__f(n__g(X), activate(Y)))
activate#(n__f(n__f(n__f(_x41, _x42), _x22), X2)) → f#(f(f(activate(_x41), _x42), _x22), X2)f#(g(X), Y) → activate#(Y)
activate#(n__f(n__f(_x21, _x32), X2)) → f#(n__f(activate(_x21), _x32), X2)activate#(n__f(X1, X2)) → activate#(X1)

Rewrite Rules

f(g(X), Y) → f(X, n__f(n__g(X), activate(Y)))f(X1, X2) → n__f(X1, X2)
g(X) → n__g(X)activate(n__f(X1, X2)) → f(activate(X1), X2)
activate(n__g(X)) → g(activate(X))activate(X) → X

Original Signature

Termination of terms over the following signature is verified: activate, f, g, n__f, n__g

Strategy

The right-hand side of the rule activate#(n__f(n__f(_x41, _x22), X2)) → f#(f(_x41, _x22), X2) 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
f#(n__f(_x31, _x32), X2) 
f#(f(_x32, n__f(n__g(_x32), activate(_x31))), X2) 
Thus, the rule activate#(n__f(n__f(_x41, _x22), X2)) → f#(f(_x41, _x22), X2) is replaced by the following rules:
activate#(n__f(n__f(_x31, _x32), X2)) → f#(n__f(_x31, _x32), X2)activate#(n__f(n__f(g(_x32), _x31), X2)) → f#(f(_x32, n__f(n__g(_x32), activate(_x31))), X2)

Problem 5: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

activate#(n__f(n__f(n__g(_x41), _x22), X2)) → f#(f(g(activate(_x41)), _x22), X2)activate#(n__g(X)) → activate#(X)
activate#(n__f(n__f(_x31, _x32), X2)) → f#(n__f(_x31, _x32), X2)activate#(n__f(_x21, X2)) → f#(_x21, X2)
activate#(n__f(n__g(_x21), X2)) → f#(g(activate(_x21)), X2)activate#(n__f(n__f(g(_x32), _x31), X2)) → f#(f(_x32, n__f(n__g(_x32), activate(_x31))), X2)
f#(g(X), Y) → f#(X, n__f(n__g(X), activate(Y)))activate#(n__f(n__f(n__f(_x41, _x42), _x22), X2)) → f#(f(f(activate(_x41), _x42), _x22), X2)
activate#(n__f(n__f(_x21, _x32), X2)) → f#(n__f(activate(_x21), _x32), X2)f#(g(X), Y) → activate#(Y)
activate#(n__f(X1, X2)) → activate#(X1)

Rewrite Rules

f(g(X), Y) → f(X, n__f(n__g(X), activate(Y)))f(X1, X2) → n__f(X1, X2)
g(X) → n__g(X)activate(n__f(X1, X2)) → f(activate(X1), X2)
activate(n__g(X)) → g(activate(X))activate(X) → X

Original Signature

Termination of terms over the following signature is verified: f, activate, g, n__f, n__g

Strategy

The right-hand side of the rule activate#(n__f(n__f(n__g(_x41), _x22), X2)) → f#(f(g(activate(_x41)), _x22), X2) 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
f#(n__f(g(activate(_x41)), _x32), X2) 
f#(f(g(_x61), _x22), X2) 
f#(f(g(g(activate(_x61))), _x22), X2) 
f#(f(n__g(activate(_x41)), _x22), X2) 
f#(f(activate(_x41), n__f(n__g(activate(_x41)), activate(_x31))), X2) 
f#(f(g(f(activate(_x61), _x62)), _x22), X2) 
Thus, the rule activate#(n__f(n__f(n__g(_x41), _x22), X2)) → f#(f(g(activate(_x41)), _x22), X2) is replaced by the following rules:
activate#(n__f(n__f(n__g(n__f(_x61, _x62)), _x22), X2)) → f#(f(g(f(activate(_x61), _x62)), _x22), X2)activate#(n__f(n__f(n__g(_x61), _x22), X2)) → f#(f(g(_x61), _x22), X2)
activate#(n__f(n__f(n__g(_x41), _x22), X2)) → f#(f(n__g(activate(_x41)), _x22), X2)activate#(n__f(n__f(n__g(_x41), _x31), X2)) → f#(f(activate(_x41), n__f(n__g(activate(_x41)), activate(_x31))), X2)
activate#(n__f(n__f(n__g(n__g(_x61)), _x22), X2)) → f#(f(g(g(activate(_x61))), _x22), X2)activate#(n__f(n__f(n__g(_x41), _x32), X2)) → f#(n__f(g(activate(_x41)), _x32), X2)

Problem 6: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

activate#(n__f(n__f(_x31, _x32), X2)) → f#(n__f(_x31, _x32), X2)activate#(n__f(n__g(_x21), X2)) → f#(g(activate(_x21)), X2)
activate#(n__f(n__f(n__g(_x61), _x22), X2)) → f#(f(g(_x61), _x22), X2)f#(g(X), Y) → f#(X, n__f(n__g(X), activate(Y)))
activate#(n__f(n__f(n__f(_x41, _x42), _x22), X2)) → f#(f(f(activate(_x41), _x42), _x22), X2)activate#(n__f(n__f(n__g(_x41), _x22), X2)) → f#(f(n__g(activate(_x41)), _x22), X2)
activate#(n__f(n__f(n__g(_x41), _x31), X2)) → f#(f(activate(_x41), n__f(n__g(activate(_x41)), activate(_x31))), X2)activate#(n__f(n__f(_x21, _x32), X2)) → f#(n__f(activate(_x21), _x32), X2)
activate#(n__f(n__f(n__g(n__f(_x61, _x62)), _x22), X2)) → f#(f(g(f(activate(_x61), _x62)), _x22), X2)activate#(n__g(X)) → activate#(X)
activate#(n__f(_x21, X2)) → f#(_x21, X2)activate#(n__f(n__f(g(_x32), _x31), X2)) → f#(f(_x32, n__f(n__g(_x32), activate(_x31))), X2)
f#(g(X), Y) → activate#(Y)activate#(n__f(n__f(n__g(n__g(_x61)), _x22), X2)) → f#(f(g(g(activate(_x61))), _x22), X2)
activate#(n__f(X1, X2)) → activate#(X1)activate#(n__f(n__f(n__g(_x41), _x32), X2)) → f#(n__f(g(activate(_x41)), _x32), X2)

Rewrite Rules

f(g(X), Y) → f(X, n__f(n__g(X), activate(Y)))f(X1, X2) → n__f(X1, X2)
g(X) → n__g(X)activate(n__f(X1, X2)) → f(activate(X1), X2)
activate(n__g(X)) → g(activate(X))activate(X) → X

Original Signature

Termination of terms over the following signature is verified: activate, f, g, n__f, n__g

Strategy

The right-hand side of the rule activate#(n__f(n__f(_x31, _x32), X2)) → f#(n__f(_x31, _x32), X2) 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 activate#(n__f(n__f(_x31, _x32), X2)) → f#(n__f(_x31, _x32), X2) is deleted.

Problem 7: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

activate#(n__f(n__g(_x21), X2)) → f#(g(activate(_x21)), X2)activate#(n__f(n__f(n__g(_x61), _x22), X2)) → f#(f(g(_x61), _x22), X2)
f#(g(X), Y) → f#(X, n__f(n__g(X), activate(Y)))activate#(n__f(n__f(n__f(_x41, _x42), _x22), X2)) → f#(f(f(activate(_x41), _x42), _x22), X2)
activate#(n__f(n__f(n__g(_x41), _x22), X2)) → f#(f(n__g(activate(_x41)), _x22), X2)activate#(n__f(n__f(n__g(_x41), _x31), X2)) → f#(f(activate(_x41), n__f(n__g(activate(_x41)), activate(_x31))), X2)
activate#(n__f(n__f(_x21, _x32), X2)) → f#(n__f(activate(_x21), _x32), X2)activate#(n__f(n__f(n__g(n__f(_x61, _x62)), _x22), X2)) → f#(f(g(f(activate(_x61), _x62)), _x22), X2)
activate#(n__g(X)) → activate#(X)activate#(n__f(_x21, X2)) → f#(_x21, X2)
activate#(n__f(n__f(g(_x32), _x31), X2)) → f#(f(_x32, n__f(n__g(_x32), activate(_x31))), X2)f#(g(X), Y) → activate#(Y)
activate#(n__f(n__f(n__g(n__g(_x61)), _x22), X2)) → f#(f(g(g(activate(_x61))), _x22), X2)activate#(n__f(n__f(n__g(_x41), _x32), X2)) → f#(n__f(g(activate(_x41)), _x32), X2)
activate#(n__f(X1, X2)) → activate#(X1)

Rewrite Rules

f(g(X), Y) → f(X, n__f(n__g(X), activate(Y)))f(X1, X2) → n__f(X1, X2)
g(X) → n__g(X)activate(n__f(X1, X2)) → f(activate(X1), X2)
activate(n__g(X)) → g(activate(X))activate(X) → X

Original Signature

Termination of terms over the following signature is verified: f, activate, g, n__f, n__g

Strategy

The right-hand side of the rule activate#(n__f(n__f(n__g(_x61), _x22), X2)) → f#(f(g(_x61), _x22), X2) 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
f#(n__f(g(_x61), _x32), X2) 
f#(f(_x32, n__f(n__g(_x32), activate(_x31))), X2) 
f#(f(n__g(_x41), _x22), X2) 
Thus, the rule activate#(n__f(n__f(n__g(_x61), _x22), X2)) → f#(f(g(_x61), _x22), X2) is replaced by the following rules:
activate#(n__f(n__f(n__g(_x61), _x32), X2)) → f#(n__f(g(_x61), _x32), X2)activate#(n__f(n__f(n__g(_x41), _x22), X2)) → f#(f(n__g(_x41), _x22), X2)
activate#(n__f(n__f(n__g(_x32), _x31), X2)) → f#(f(_x32, n__f(n__g(_x32), activate(_x31))), X2)

Problem 8: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

activate#(n__f(n__f(n__g(_x41), _x22), X2)) → f#(f(n__g(_x41), _x22), X2)activate#(n__f(n__f(n__g(_x32), _x31), X2)) → f#(f(_x32, n__f(n__g(_x32), activate(_x31))), X2)
activate#(n__f(n__g(_x21), X2)) → f#(g(activate(_x21)), X2)f#(g(X), Y) → f#(X, n__f(n__g(X), activate(Y)))
activate#(n__f(n__f(n__f(_x41, _x42), _x22), X2)) → f#(f(f(activate(_x41), _x42), _x22), X2)activate#(n__f(n__f(n__g(_x41), _x22), X2)) → f#(f(n__g(activate(_x41)), _x22), X2)
activate#(n__f(n__f(n__g(_x41), _x31), X2)) → f#(f(activate(_x41), n__f(n__g(activate(_x41)), activate(_x31))), X2)activate#(n__f(n__f(_x21, _x32), X2)) → f#(n__f(activate(_x21), _x32), X2)
activate#(n__f(n__f(n__g(n__f(_x61, _x62)), _x22), X2)) → f#(f(g(f(activate(_x61), _x62)), _x22), X2)activate#(n__f(n__f(n__g(_x61), _x32), X2)) → f#(n__f(g(_x61), _x32), X2)
activate#(n__g(X)) → activate#(X)activate#(n__f(_x21, X2)) → f#(_x21, X2)
activate#(n__f(n__f(g(_x32), _x31), X2)) → f#(f(_x32, n__f(n__g(_x32), activate(_x31))), X2)activate#(n__f(n__f(n__g(n__g(_x61)), _x22), X2)) → f#(f(g(g(activate(_x61))), _x22), X2)
f#(g(X), Y) → activate#(Y)activate#(n__f(X1, X2)) → activate#(X1)
activate#(n__f(n__f(n__g(_x41), _x32), X2)) → f#(n__f(g(activate(_x41)), _x32), X2)

Rewrite Rules

f(g(X), Y) → f(X, n__f(n__g(X), activate(Y)))f(X1, X2) → n__f(X1, X2)
g(X) → n__g(X)activate(n__f(X1, X2)) → f(activate(X1), X2)
activate(n__g(X)) → g(activate(X))activate(X) → X

Original Signature

Termination of terms over the following signature is verified: activate, f, g, n__f, n__g

Strategy

The right-hand side of the rule activate#(n__f(n__f(n__g(_x41), _x22), X2)) → f#(f(n__g(_x41), _x22), X2) 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
f#(n__f(n__g(_x41), _x32), X2) 
Thus, the rule activate#(n__f(n__f(n__g(_x41), _x22), X2)) → f#(f(n__g(_x41), _x22), X2) is replaced by the following rules:
activate#(n__f(n__f(n__g(_x41), _x32), X2)) → f#(n__f(n__g(_x41), _x32), X2)

Problem 9: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

activate#(n__f(n__f(n__g(_x32), _x31), X2)) → f#(f(_x32, n__f(n__g(_x32), activate(_x31))), X2)activate#(n__f(n__g(_x21), X2)) → f#(g(activate(_x21)), X2)
f#(g(X), Y) → f#(X, n__f(n__g(X), activate(Y)))activate#(n__f(n__f(n__f(_x41, _x42), _x22), X2)) → f#(f(f(activate(_x41), _x42), _x22), X2)
activate#(n__f(n__f(n__g(_x41), _x22), X2)) → f#(f(n__g(activate(_x41)), _x22), X2)activate#(n__f(n__f(n__g(_x41), _x31), X2)) → f#(f(activate(_x41), n__f(n__g(activate(_x41)), activate(_x31))), X2)
activate#(n__f(n__f(_x21, _x32), X2)) → f#(n__f(activate(_x21), _x32), X2)activate#(n__f(n__f(n__g(n__f(_x61, _x62)), _x22), X2)) → f#(f(g(f(activate(_x61), _x62)), _x22), X2)
activate#(n__f(n__f(n__g(_x41), _x32), X2)) → f#(n__f(n__g(_x41), _x32), X2)activate#(n__f(n__f(n__g(_x61), _x32), X2)) → f#(n__f(g(_x61), _x32), X2)
activate#(n__g(X)) → activate#(X)activate#(n__f(_x21, X2)) → f#(_x21, X2)
activate#(n__f(n__f(g(_x32), _x31), X2)) → f#(f(_x32, n__f(n__g(_x32), activate(_x31))), X2)f#(g(X), Y) → activate#(Y)
activate#(n__f(n__f(n__g(n__g(_x61)), _x22), X2)) → f#(f(g(g(activate(_x61))), _x22), X2)activate#(n__f(n__f(n__g(_x41), _x32), X2)) → f#(n__f(g(activate(_x41)), _x32), X2)
activate#(n__f(X1, X2)) → activate#(X1)

Rewrite Rules

f(g(X), Y) → f(X, n__f(n__g(X), activate(Y)))f(X1, X2) → n__f(X1, X2)
g(X) → n__g(X)activate(n__f(X1, X2)) → f(activate(X1), X2)
activate(n__g(X)) → g(activate(X))activate(X) → X

Original Signature

Termination of terms over the following signature is verified: f, activate, g, n__f, n__g

Strategy

The right-hand side of the rule activate#(n__f(n__f(n__f(_x41, _x42), _x22), X2)) → f#(f(f(activate(_x41), _x42), _x22), X2) 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
f#(n__f(f(activate(_x41), _x42), _x32), X2) 
f#(f(f(_x61, _x42), _x22), X2) 
f#(f(f(g(activate(_x61)), _x42), _x22), X2) 
f#(f(n__f(activate(_x41), _x52), _x22), X2) 
f#(f(f(f(activate(_x61), _x62), _x42), _x22), X2) 
Thus, the rule activate#(n__f(n__f(n__f(_x41, _x42), _x22), X2)) → f#(f(f(activate(_x41), _x42), _x22), X2) is replaced by the following rules:
activate#(n__f(n__f(n__f(_x61, _x42), _x22), X2)) → f#(f(f(_x61, _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(_x61, _x62), _x42), _x22), X2)) → f#(f(f(f(activate(_x61), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(_x41, _x42), _x32), X2)) → f#(n__f(f(activate(_x41), _x42), _x32), X2)activate#(n__f(n__f(n__f(_x41, _x52), _x22), X2)) → f#(f(n__f(activate(_x41), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(_x61), _x42), _x22), X2)) → f#(f(f(g(activate(_x61)), _x42), _x22), X2)

Problem 10: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

activate#(n__f(n__f(n__f(_x61, _x42), _x22), X2)) → f#(f(f(_x61, _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(_x61, _x62), _x42), _x22), X2)) → f#(f(f(f(activate(_x61), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__g(_x32), _x31), X2)) → f#(f(_x32, n__f(n__g(_x32), activate(_x31))), X2)activate#(n__f(n__g(_x21), X2)) → f#(g(activate(_x21)), X2)
activate#(n__f(n__f(n__f(_x41, _x42), _x32), X2)) → f#(n__f(f(activate(_x41), _x42), _x32), X2)f#(g(X), Y) → f#(X, n__f(n__g(X), activate(Y)))
activate#(n__f(n__f(n__g(_x41), _x22), X2)) → f#(f(n__g(activate(_x41)), _x22), X2)activate#(n__f(n__f(n__g(_x41), _x31), X2)) → f#(f(activate(_x41), n__f(n__g(activate(_x41)), activate(_x31))), X2)
activate#(n__f(n__f(_x21, _x32), X2)) → f#(n__f(activate(_x21), _x32), X2)activate#(n__f(n__f(n__f(_x41, _x52), _x22), X2)) → f#(f(n__f(activate(_x41), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(_x61), _x42), _x22), X2)) → f#(f(f(g(activate(_x61)), _x42), _x22), X2)activate#(n__f(n__f(n__g(n__f(_x61, _x62)), _x22), X2)) → f#(f(g(f(activate(_x61), _x62)), _x22), X2)
activate#(n__f(n__f(n__g(_x61), _x32), X2)) → f#(n__f(g(_x61), _x32), X2)activate#(n__f(n__f(n__g(_x41), _x32), X2)) → f#(n__f(n__g(_x41), _x32), X2)
activate#(n__g(X)) → activate#(X)activate#(n__f(_x21, X2)) → f#(_x21, X2)
activate#(n__f(n__f(g(_x32), _x31), X2)) → f#(f(_x32, n__f(n__g(_x32), activate(_x31))), X2)activate#(n__f(n__f(n__g(n__g(_x61)), _x22), X2)) → f#(f(g(g(activate(_x61))), _x22), X2)
f#(g(X), Y) → activate#(Y)activate#(n__f(X1, X2)) → activate#(X1)
activate#(n__f(n__f(n__g(_x41), _x32), X2)) → f#(n__f(g(activate(_x41)), _x32), X2)

Rewrite Rules

f(g(X), Y) → f(X, n__f(n__g(X), activate(Y)))f(X1, X2) → n__f(X1, X2)
g(X) → n__g(X)activate(n__f(X1, X2)) → f(activate(X1), X2)
activate(n__g(X)) → g(activate(X))activate(X) → X

Original Signature

Termination of terms over the following signature is verified: activate, f, g, n__f, n__g

Strategy

The right-hand side of the rule activate#(n__f(n__f(n__f(_x61, _x42), _x22), X2)) → f#(f(f(_x61, _x42), _x22), X2) 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
f#(n__f(f(_x61, _x42), _x32), X2) 
f#(f(f(_x52, n__f(n__g(_x52), activate(_x51))), _x22), X2) 
f#(f(n__f(_x51, _x52), _x22), X2) 
Thus, the rule activate#(n__f(n__f(n__f(_x61, _x42), _x22), X2)) → f#(f(f(_x61, _x42), _x22), X2) is replaced by the following rules:
activate#(n__f(n__f(n__f(_x51, _x52), _x22), X2)) → f#(f(n__f(_x51, _x52), _x22), X2)activate#(n__f(n__f(n__f(_x61, _x42), _x32), X2)) → f#(n__f(f(_x61, _x42), _x32), X2)
activate#(n__f(n__f(n__f(g(_x52), _x51), _x22), X2)) → f#(f(f(_x52, n__f(n__g(_x52), activate(_x51))), _x22), X2)

Problem 11: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

activate#(n__f(n__f(n__f(n__f(_x61, _x62), _x42), _x22), X2)) → f#(f(f(f(activate(_x61), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__g(_x32), _x31), X2)) → f#(f(_x32, n__f(n__g(_x32), activate(_x31))), X2)
activate#(n__f(n__g(_x21), X2)) → f#(g(activate(_x21)), X2)activate#(n__f(n__f(n__f(_x51, _x52), _x22), X2)) → f#(f(n__f(_x51, _x52), _x22), X2)
activate#(n__f(n__f(n__f(_x41, _x42), _x32), X2)) → f#(n__f(f(activate(_x41), _x42), _x32), X2)f#(g(X), Y) → f#(X, n__f(n__g(X), activate(Y)))
activate#(n__f(n__f(n__f(_x61, _x42), _x32), X2)) → f#(n__f(f(_x61, _x42), _x32), X2)activate#(n__f(n__f(n__g(_x41), _x22), X2)) → f#(f(n__g(activate(_x41)), _x22), X2)
activate#(n__f(n__f(n__g(_x41), _x31), X2)) → f#(f(activate(_x41), n__f(n__g(activate(_x41)), activate(_x31))), X2)activate#(n__f(n__f(_x21, _x32), X2)) → f#(n__f(activate(_x21), _x32), X2)
activate#(n__f(n__f(n__f(_x41, _x52), _x22), X2)) → f#(f(n__f(activate(_x41), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(_x61), _x42), _x22), X2)) → f#(f(f(g(activate(_x61)), _x42), _x22), X2)
activate#(n__f(n__f(n__g(n__f(_x61, _x62)), _x22), X2)) → f#(f(g(f(activate(_x61), _x62)), _x22), X2)activate#(n__f(n__f(n__g(_x41), _x32), X2)) → f#(n__f(n__g(_x41), _x32), X2)
activate#(n__f(n__f(n__g(_x61), _x32), X2)) → f#(n__f(g(_x61), _x32), X2)activate#(n__g(X)) → activate#(X)
activate#(n__f(_x21, X2)) → f#(_x21, X2)activate#(n__f(n__f(g(_x32), _x31), X2)) → f#(f(_x32, n__f(n__g(_x32), activate(_x31))), X2)
f#(g(X), Y) → activate#(Y)activate#(n__f(n__f(n__g(n__g(_x61)), _x22), X2)) → f#(f(g(g(activate(_x61))), _x22), X2)
activate#(n__f(n__f(n__f(g(_x52), _x51), _x22), X2)) → f#(f(f(_x52, n__f(n__g(_x52), activate(_x51))), _x22), X2)activate#(n__f(n__f(n__g(_x41), _x32), X2)) → f#(n__f(g(activate(_x41)), _x32), X2)
activate#(n__f(X1, X2)) → activate#(X1)

Rewrite Rules

f(g(X), Y) → f(X, n__f(n__g(X), activate(Y)))f(X1, X2) → n__f(X1, X2)
g(X) → n__g(X)activate(n__f(X1, X2)) → f(activate(X1), X2)
activate(n__g(X)) → g(activate(X))activate(X) → X

Original Signature

Termination of terms over the following signature is verified: f, activate, g, n__f, n__g

Strategy

The right-hand side of the rule activate#(n__f(n__f(n__f(n__f(_x61, _x62), _x42), _x22), X2)) → f#(f(f(f(activate(_x61), _x62), _x42), _x22), X2) 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
f#(f(f(n__f(activate(_x61), _x72), _x42), _x22), X2) 
f#(n__f(f(f(activate(_x61), _x62), _x42), _x32), X2) 
f#(f(f(f(g(activate(_x81)), _x62), _x42), _x22), X2) 
f#(f(n__f(f(activate(_x61), _x62), _x52), _x22), X2) 
f#(f(f(f(f(activate(_x81), _x82), _x62), _x42), _x22), X2) 
f#(f(f(f(_x81, _x62), _x42), _x22), X2) 
Thus, the rule activate#(n__f(n__f(n__f(n__f(_x61, _x62), _x42), _x22), X2)) → f#(f(f(f(activate(_x61), _x62), _x42), _x22), X2) is replaced by the following rules:
activate#(n__f(n__f(n__f(n__f(_x81, _x62), _x42), _x22), X2)) → f#(f(f(f(_x81, _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__g(_x81), _x62), _x42), _x22), X2)) → f#(f(f(f(g(activate(_x81)), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(activate(_x81), _x82), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(_x61, _x62), _x52), _x22), X2)) → f#(f(n__f(f(activate(_x61), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(_x61, _x62), _x42), _x32), X2)) → f#(n__f(f(f(activate(_x61), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(_x61, _x72), _x42), _x22), X2)) → f#(f(f(n__f(activate(_x61), _x72), _x42), _x22), X2)

Problem 12: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(activate(_x81), _x82), _x62), _x42), _x22), X2)activate#(n__f(n__g(_x21), X2)) → f#(g(activate(_x21)), X2)
activate#(n__f(n__f(n__f(_x51, _x52), _x22), X2)) → f#(f(n__f(_x51, _x52), _x22), X2)activate#(n__f(n__f(n__f(_x41, _x42), _x32), X2)) → f#(n__f(f(activate(_x41), _x42), _x32), X2)
activate#(n__f(n__f(n__f(_x61, _x42), _x32), X2)) → f#(n__f(f(_x61, _x42), _x32), X2)activate#(n__f(n__f(n__g(_x41), _x22), X2)) → f#(f(n__g(activate(_x41)), _x22), X2)
activate#(n__f(n__f(n__f(n__g(_x61), _x42), _x22), X2)) → f#(f(f(g(activate(_x61)), _x42), _x22), X2)activate#(n__f(n__f(n__g(n__f(_x61, _x62)), _x22), X2)) → f#(f(g(f(activate(_x61), _x62)), _x22), X2)
activate#(n__f(n__f(n__g(_x41), _x32), X2)) → f#(n__f(n__g(_x41), _x32), X2)activate#(n__f(n__f(n__g(_x61), _x32), X2)) → f#(n__f(g(_x61), _x32), X2)
activate#(n__g(X)) → activate#(X)activate#(n__f(_x21, X2)) → f#(_x21, X2)
activate#(n__f(n__f(g(_x32), _x31), X2)) → f#(f(_x32, n__f(n__g(_x32), activate(_x31))), X2)activate#(n__f(n__f(n__f(n__f(_x61, _x62), _x42), _x32), X2)) → f#(n__f(f(f(activate(_x61), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__g(n__g(_x61)), _x22), X2)) → f#(f(g(g(activate(_x61))), _x22), X2)f#(g(X), Y) → activate#(Y)
activate#(n__f(n__f(n__f(n__f(n__g(_x81), _x62), _x42), _x22), X2)) → f#(f(f(f(g(activate(_x81)), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__g(_x32), _x31), X2)) → f#(f(_x32, n__f(n__g(_x32), activate(_x31))), X2)
f#(g(X), Y) → f#(X, n__f(n__g(X), activate(Y)))activate#(n__f(n__f(n__g(_x41), _x31), X2)) → f#(f(activate(_x41), n__f(n__g(activate(_x41)), activate(_x31))), X2)
activate#(n__f(n__f(_x21, _x32), X2)) → f#(n__f(activate(_x21), _x32), X2)activate#(n__f(n__f(n__f(n__f(_x61, _x72), _x42), _x22), X2)) → f#(f(f(n__f(activate(_x61), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__f(_x41, _x52), _x22), X2)) → f#(f(n__f(activate(_x41), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(_x81, _x62), _x42), _x22), X2)) → f#(f(f(f(_x81, _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(_x61, _x62), _x52), _x22), X2)) → f#(f(n__f(f(activate(_x61), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(g(_x52), _x51), _x22), X2)) → f#(f(f(_x52, n__f(n__g(_x52), activate(_x51))), _x22), X2)
activate#(n__f(n__f(n__g(_x41), _x32), X2)) → f#(n__f(g(activate(_x41)), _x32), X2)activate#(n__f(X1, X2)) → activate#(X1)

Rewrite Rules

f(g(X), Y) → f(X, n__f(n__g(X), activate(Y)))f(X1, X2) → n__f(X1, X2)
g(X) → n__g(X)activate(n__f(X1, X2)) → f(activate(X1), X2)
activate(n__g(X)) → g(activate(X))activate(X) → X

Original Signature

Termination of terms over the following signature is verified: activate, f, g, n__f, n__g

Strategy

The right-hand side of the rule activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(activate(_x81), _x82), _x62), _x42), _x22), X2) 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
f#(f(n__f(f(f(activate(_x81), _x82), _x62), _x52), _x22), X2) 
f#(n__f(f(f(f(activate(_x81), _x82), _x62), _x42), _x32), X2) 
f#(f(f(n__f(f(activate(_x81), _x82), _x72), _x42), _x22), X2) 
f#(f(f(f(f(f(activate(_x101), _x102), _x82), _x62), _x42), _x22), X2) 
f#(f(f(f(n__f(activate(_x81), _x92), _x62), _x42), _x22), X2) 
f#(f(f(f(f(g(activate(_x101)), _x82), _x62), _x42), _x22), X2) 
f#(f(f(f(f(_x101, _x82), _x62), _x42), _x22), X2) 
Thus, the rule activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(activate(_x81), _x82), _x62), _x42), _x22), X2) is replaced by the following rules:
activate#(n__f(n__f(n__f(n__f(n__f(_x101, _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(_x101, _x82), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(g(activate(_x101)), _x82), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x72), _x42), _x22), X2)) → f#(f(f(n__f(f(activate(_x81), _x82), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x102), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(f(activate(_x101), _x102), _x82), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(activate(_x81), _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(activate(_x81), _x82), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x62), _x52), _x22), X2)) → f#(f(n__f(f(f(activate(_x81), _x82), _x62), _x52), _x22), X2)

Problem 13: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

activate#(n__f(n__g(_x21), X2)) → f#(g(activate(_x21)), X2)activate#(n__f(n__f(n__f(_x41, _x42), _x32), X2)) → f#(n__f(f(activate(_x41), _x42), _x32), X2)
activate#(n__f(n__f(n__f(_x51, _x52), _x22), X2)) → f#(f(n__f(_x51, _x52), _x22), X2)activate#(n__f(n__f(n__g(_x41), _x22), X2)) → f#(f(n__g(activate(_x41)), _x22), X2)
activate#(n__f(n__f(n__f(_x61, _x42), _x32), X2)) → f#(n__f(f(_x61, _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(activate(_x81), _x92), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(_x61), _x42), _x22), X2)) → f#(f(f(g(activate(_x61)), _x42), _x22), X2)activate#(n__f(n__f(n__g(n__f(_x61, _x62)), _x22), X2)) → f#(f(g(f(activate(_x61), _x62)), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(g(activate(_x101)), _x82), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__g(_x61), _x32), X2)) → f#(n__f(g(_x61), _x32), X2)
activate#(n__f(n__f(n__g(_x41), _x32), X2)) → f#(n__f(n__g(_x41), _x32), X2)activate#(n__g(X)) → activate#(X)
activate#(n__f(_x21, X2)) → f#(_x21, X2)activate#(n__f(n__f(g(_x32), _x31), X2)) → f#(f(_x32, n__f(n__g(_x32), activate(_x31))), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x102), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(f(activate(_x101), _x102), _x82), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(_x61, _x62), _x42), _x32), X2)) → f#(n__f(f(f(activate(_x61), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(activate(_x81), _x82), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__g(n__g(_x61)), _x22), X2)) → f#(f(g(g(activate(_x61))), _x22), X2)
f#(g(X), Y) → activate#(Y)activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x62), _x52), _x22), X2)) → f#(f(n__f(f(f(activate(_x81), _x82), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__g(_x81), _x62), _x42), _x22), X2)) → f#(f(f(f(g(activate(_x81)), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x72), _x42), _x22), X2)) → f#(f(f(n__f(f(activate(_x81), _x82), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__g(_x32), _x31), X2)) → f#(f(_x32, n__f(n__g(_x32), activate(_x31))), X2)f#(g(X), Y) → f#(X, n__f(n__g(X), activate(Y)))
activate#(n__f(n__f(n__g(_x41), _x31), X2)) → f#(f(activate(_x41), n__f(n__g(activate(_x41)), activate(_x31))), X2)activate#(n__f(n__f(_x21, _x32), X2)) → f#(n__f(activate(_x21), _x32), X2)
activate#(n__f(n__f(n__f(_x41, _x52), _x22), X2)) → f#(f(n__f(activate(_x41), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(_x61, _x72), _x42), _x22), X2)) → f#(f(f(n__f(activate(_x61), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x101, _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(_x101, _x82), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(_x81, _x62), _x42), _x22), X2)) → f#(f(f(f(_x81, _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(_x61, _x62), _x52), _x22), X2)) → f#(f(n__f(f(activate(_x61), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(g(_x52), _x51), _x22), X2)) → f#(f(f(_x52, n__f(n__g(_x52), activate(_x51))), _x22), X2)
activate#(n__f(X1, X2)) → activate#(X1)activate#(n__f(n__f(n__g(_x41), _x32), X2)) → f#(n__f(g(activate(_x41)), _x32), X2)

Rewrite Rules

f(g(X), Y) → f(X, n__f(n__g(X), activate(Y)))f(X1, X2) → n__f(X1, X2)
g(X) → n__g(X)activate(n__f(X1, X2)) → f(activate(X1), X2)
activate(n__g(X)) → g(activate(X))activate(X) → X

Original Signature

Termination of terms over the following signature is verified: f, activate, g, n__f, n__g

Strategy

The right-hand side of the rule activate#(n__f(n__f(n__f(_x51, _x52), _x22), X2)) → f#(f(n__f(_x51, _x52), _x22), X2) 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
f#(n__f(n__f(_x51, _x52), _x32), X2) 
Thus, the rule activate#(n__f(n__f(n__f(_x51, _x52), _x22), X2)) → f#(f(n__f(_x51, _x52), _x22), X2) is replaced by the following rules:
activate#(n__f(n__f(n__f(_x51, _x52), _x32), X2)) → f#(n__f(n__f(_x51, _x52), _x32), X2)

Problem 14: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

activate#(n__f(n__f(n__f(_x51, _x52), _x32), X2)) → f#(n__f(n__f(_x51, _x52), _x32), X2)activate#(n__f(n__g(_x21), X2)) → f#(g(activate(_x21)), X2)
activate#(n__f(n__f(n__f(_x41, _x42), _x32), X2)) → f#(n__f(f(activate(_x41), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(activate(_x81), _x92), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(_x61, _x42), _x32), X2)) → f#(n__f(f(_x61, _x42), _x32), X2)activate#(n__f(n__f(n__g(_x41), _x22), X2)) → f#(f(n__g(activate(_x41)), _x22), X2)
activate#(n__f(n__f(n__f(n__g(_x61), _x42), _x22), X2)) → f#(f(f(g(activate(_x61)), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(g(activate(_x101)), _x82), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__g(n__f(_x61, _x62)), _x22), X2)) → f#(f(g(f(activate(_x61), _x62)), _x22), X2)activate#(n__f(n__f(n__g(_x41), _x32), X2)) → f#(n__f(n__g(_x41), _x32), X2)
activate#(n__f(n__f(n__g(_x61), _x32), X2)) → f#(n__f(g(_x61), _x32), X2)activate#(n__g(X)) → activate#(X)
activate#(n__f(_x21, X2)) → f#(_x21, X2)activate#(n__f(n__f(g(_x32), _x31), X2)) → f#(f(_x32, n__f(n__g(_x32), activate(_x31))), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x102), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(f(activate(_x101), _x102), _x82), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(_x61, _x62), _x42), _x32), X2)) → f#(n__f(f(f(activate(_x61), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(activate(_x81), _x82), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__g(n__g(_x61)), _x22), X2)) → f#(f(g(g(activate(_x61))), _x22), X2)
f#(g(X), Y) → activate#(Y)activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x62), _x52), _x22), X2)) → f#(f(n__f(f(f(activate(_x81), _x82), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__g(_x81), _x62), _x42), _x22), X2)) → f#(f(f(f(g(activate(_x81)), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x72), _x42), _x22), X2)) → f#(f(f(n__f(f(activate(_x81), _x82), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__g(_x32), _x31), X2)) → f#(f(_x32, n__f(n__g(_x32), activate(_x31))), X2)f#(g(X), Y) → f#(X, n__f(n__g(X), activate(Y)))
activate#(n__f(n__f(n__g(_x41), _x31), X2)) → f#(f(activate(_x41), n__f(n__g(activate(_x41)), activate(_x31))), X2)activate#(n__f(n__f(_x21, _x32), X2)) → f#(n__f(activate(_x21), _x32), X2)
activate#(n__f(n__f(n__f(n__f(_x61, _x72), _x42), _x22), X2)) → f#(f(f(n__f(activate(_x61), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__f(_x41, _x52), _x22), X2)) → f#(f(n__f(activate(_x41), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x101, _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(_x101, _x82), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(_x81, _x62), _x42), _x22), X2)) → f#(f(f(f(_x81, _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(_x61, _x62), _x52), _x22), X2)) → f#(f(n__f(f(activate(_x61), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(g(_x52), _x51), _x22), X2)) → f#(f(f(_x52, n__f(n__g(_x52), activate(_x51))), _x22), X2)
activate#(n__f(n__f(n__g(_x41), _x32), X2)) → f#(n__f(g(activate(_x41)), _x32), X2)activate#(n__f(X1, X2)) → activate#(X1)

Rewrite Rules

f(g(X), Y) → f(X, n__f(n__g(X), activate(Y)))f(X1, X2) → n__f(X1, X2)
g(X) → n__g(X)activate(n__f(X1, X2)) → f(activate(X1), X2)
activate(n__g(X)) → g(activate(X))activate(X) → X

Original Signature

Termination of terms over the following signature is verified: activate, f, g, n__f, n__g

Strategy

The right-hand side of the rule activate#(n__f(n__f(n__f(_x51, _x52), _x32), X2)) → f#(n__f(n__f(_x51, _x52), _x32), X2) 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 activate#(n__f(n__f(n__f(_x51, _x52), _x32), X2)) → f#(n__f(n__f(_x51, _x52), _x32), X2) is deleted.

Problem 15: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

activate#(n__f(n__g(_x21), X2)) → f#(g(activate(_x21)), X2)activate#(n__f(n__f(n__f(_x41, _x42), _x32), X2)) → f#(n__f(f(activate(_x41), _x42), _x32), X2)
activate#(n__f(n__f(n__g(_x41), _x22), X2)) → f#(f(n__g(activate(_x41)), _x22), X2)activate#(n__f(n__f(n__f(_x61, _x42), _x32), X2)) → f#(n__f(f(_x61, _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(activate(_x81), _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(_x61), _x42), _x22), X2)) → f#(f(f(g(activate(_x61)), _x42), _x22), X2)
activate#(n__f(n__f(n__g(n__f(_x61, _x62)), _x22), X2)) → f#(f(g(f(activate(_x61), _x62)), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(g(activate(_x101)), _x82), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__g(_x61), _x32), X2)) → f#(n__f(g(_x61), _x32), X2)activate#(n__f(n__f(n__g(_x41), _x32), X2)) → f#(n__f(n__g(_x41), _x32), X2)
activate#(n__g(X)) → activate#(X)activate#(n__f(_x21, X2)) → f#(_x21, X2)
activate#(n__f(n__f(g(_x32), _x31), X2)) → f#(f(_x32, n__f(n__g(_x32), activate(_x31))), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x102), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(f(activate(_x101), _x102), _x82), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(_x61, _x62), _x42), _x32), X2)) → f#(n__f(f(f(activate(_x61), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(activate(_x81), _x82), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__g(n__g(_x61)), _x22), X2)) → f#(f(g(g(activate(_x61))), _x22), X2)f#(g(X), Y) → activate#(Y)
activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x62), _x52), _x22), X2)) → f#(f(n__f(f(f(activate(_x81), _x82), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__g(_x81), _x62), _x42), _x22), X2)) → f#(f(f(f(g(activate(_x81)), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x72), _x42), _x22), X2)) → f#(f(f(n__f(f(activate(_x81), _x82), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__g(_x32), _x31), X2)) → f#(f(_x32, n__f(n__g(_x32), activate(_x31))), X2)
f#(g(X), Y) → f#(X, n__f(n__g(X), activate(Y)))activate#(n__f(n__f(n__g(_x41), _x31), X2)) → f#(f(activate(_x41), n__f(n__g(activate(_x41)), activate(_x31))), X2)
activate#(n__f(n__f(_x21, _x32), X2)) → f#(n__f(activate(_x21), _x32), X2)activate#(n__f(n__f(n__f(_x41, _x52), _x22), X2)) → f#(f(n__f(activate(_x41), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(_x61, _x72), _x42), _x22), X2)) → f#(f(f(n__f(activate(_x61), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x101, _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(_x101, _x82), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(_x81, _x62), _x42), _x22), X2)) → f#(f(f(f(_x81, _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(_x61, _x62), _x52), _x22), X2)) → f#(f(n__f(f(activate(_x61), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(g(_x52), _x51), _x22), X2)) → f#(f(f(_x52, n__f(n__g(_x52), activate(_x51))), _x22), X2)activate#(n__f(X1, X2)) → activate#(X1)
activate#(n__f(n__f(n__g(_x41), _x32), X2)) → f#(n__f(g(activate(_x41)), _x32), X2)

Rewrite Rules

f(g(X), Y) → f(X, n__f(n__g(X), activate(Y)))f(X1, X2) → n__f(X1, X2)
g(X) → n__g(X)activate(n__f(X1, X2)) → f(activate(X1), X2)
activate(n__g(X)) → g(activate(X))activate(X) → X

Original Signature

Termination of terms over the following signature is verified: f, activate, g, n__f, n__g

Strategy

The right-hand side of the rule activate#(n__f(n__f(n__f(_x41, _x42), _x32), X2)) → f#(n__f(f(activate(_x41), _x42), _x32), X2) 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
f#(n__f(f(f(activate(_x51), _x52), _x42), _x32), X2) 
f#(n__f(n__f(activate(_x41), _x32), _x32), X2) 
f#(n__f(f(g(activate(_x51)), _x42), _x32), X2) 
f#(n__f(f(_x51, _x42), _x32), X2) 
Thus, the rule activate#(n__f(n__f(n__f(_x41, _x42), _x32), X2)) → f#(n__f(f(activate(_x41), _x42), _x32), X2) is replaced by the following rules:
activate#(n__f(n__f(n__f(_x51, _x42), _x32), X2)) → f#(n__f(f(_x51, _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(_x51, _x52), _x42), _x32), X2)) → f#(n__f(f(f(activate(_x51), _x52), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(_x51), _x42), _x32), X2)) → f#(n__f(f(g(activate(_x51)), _x42), _x32), X2)activate#(n__f(n__f(n__f(_x41, _x32), _x32), X2)) → f#(n__f(n__f(activate(_x41), _x32), _x32), X2)

Problem 16: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

activate#(n__f(n__g(_x21), X2)) → f#(g(activate(_x21)), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(activate(_x81), _x92), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(_x61, _x42), _x32), X2)) → f#(n__f(f(_x61, _x42), _x32), X2)activate#(n__f(n__f(n__g(_x41), _x22), X2)) → f#(f(n__g(activate(_x41)), _x22), X2)
activate#(n__f(n__f(n__f(n__g(_x61), _x42), _x22), X2)) → f#(f(f(g(activate(_x61)), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(g(activate(_x101)), _x82), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__g(n__f(_x61, _x62)), _x22), X2)) → f#(f(g(f(activate(_x61), _x62)), _x22), X2)activate#(n__f(n__f(n__g(_x41), _x32), X2)) → f#(n__f(n__g(_x41), _x32), X2)
activate#(n__f(n__f(n__g(_x61), _x32), X2)) → f#(n__f(g(_x61), _x32), X2)activate#(n__g(X)) → activate#(X)
activate#(n__f(n__f(n__f(_x51, _x42), _x32), X2)) → f#(n__f(f(_x51, _x42), _x32), X2)activate#(n__f(_x21, X2)) → f#(_x21, X2)
activate#(n__f(n__f(g(_x32), _x31), X2)) → f#(f(_x32, n__f(n__g(_x32), activate(_x31))), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x102), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(f(activate(_x101), _x102), _x82), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(_x61, _x62), _x42), _x32), X2)) → f#(n__f(f(f(activate(_x61), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(activate(_x81), _x82), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__g(n__g(_x61)), _x22), X2)) → f#(f(g(g(activate(_x61))), _x22), X2)f#(g(X), Y) → activate#(Y)
activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x62), _x52), _x22), X2)) → f#(f(n__f(f(f(activate(_x81), _x82), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__g(_x81), _x62), _x42), _x22), X2)) → f#(f(f(f(g(activate(_x81)), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x72), _x42), _x22), X2)) → f#(f(f(n__f(f(activate(_x81), _x82), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__g(_x32), _x31), X2)) → f#(f(_x32, n__f(n__g(_x32), activate(_x31))), X2)
f#(g(X), Y) → f#(X, n__f(n__g(X), activate(Y)))activate#(n__f(n__f(n__g(_x41), _x31), X2)) → f#(f(activate(_x41), n__f(n__g(activate(_x41)), activate(_x31))), X2)
activate#(n__f(n__f(_x21, _x32), X2)) → f#(n__f(activate(_x21), _x32), X2)activate#(n__f(n__f(n__f(n__f(_x61, _x72), _x42), _x22), X2)) → f#(f(f(n__f(activate(_x61), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__f(_x41, _x52), _x22), X2)) → f#(f(n__f(activate(_x41), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x101, _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(_x101, _x82), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(_x81, _x62), _x42), _x22), X2)) → f#(f(f(f(_x81, _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(_x61, _x62), _x52), _x22), X2)) → f#(f(n__f(f(activate(_x61), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(_x51, _x52), _x42), _x32), X2)) → f#(n__f(f(f(activate(_x51), _x52), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(_x51), _x42), _x32), X2)) → f#(n__f(f(g(activate(_x51)), _x42), _x32), X2)
activate#(n__f(n__f(n__f(_x41, _x32), _x32), X2)) → f#(n__f(n__f(activate(_x41), _x32), _x32), X2)activate#(n__f(n__f(n__f(g(_x52), _x51), _x22), X2)) → f#(f(f(_x52, n__f(n__g(_x52), activate(_x51))), _x22), X2)
activate#(n__f(n__f(n__g(_x41), _x32), X2)) → f#(n__f(g(activate(_x41)), _x32), X2)activate#(n__f(X1, X2)) → activate#(X1)

Rewrite Rules

f(g(X), Y) → f(X, n__f(n__g(X), activate(Y)))f(X1, X2) → n__f(X1, X2)
g(X) → n__g(X)activate(n__f(X1, X2)) → f(activate(X1), X2)
activate(n__g(X)) → g(activate(X))activate(X) → X

Original Signature

Termination of terms over the following signature is verified: activate, f, g, n__f, n__g

Strategy

The right-hand side of the rule activate#(n__f(n__f(n__g(_x41), _x22), X2)) → f#(f(n__g(activate(_x41)), _x22), X2) 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
f#(f(n__g(f(activate(_x61), _x62)), _x22), X2) 
f#(f(n__g(g(activate(_x61))), _x22), X2) 
f#(f(n__g(_x61), _x22), X2) 
f#(n__f(n__g(activate(_x41)), _x32), X2) 
Thus, the rule activate#(n__f(n__f(n__g(_x41), _x22), X2)) → f#(f(n__g(activate(_x41)), _x22), X2) is replaced by the following rules:
activate#(n__f(n__f(n__g(_x41), _x32), X2)) → f#(n__f(n__g(activate(_x41)), _x32), X2)activate#(n__f(n__f(n__g(n__f(_x61, _x62)), _x22), X2)) → f#(f(n__g(f(activate(_x61), _x62)), _x22), X2)
activate#(n__f(n__f(n__g(n__g(_x61)), _x22), X2)) → f#(f(n__g(g(activate(_x61))), _x22), X2)activate#(n__f(n__f(n__g(_x61), _x22), X2)) → f#(f(n__g(_x61), _x22), X2)

Problem 17: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

activate#(n__f(n__f(n__g(_x41), _x32), X2)) → f#(n__f(n__g(activate(_x41)), _x32), X2)activate#(n__f(n__g(_x21), X2)) → f#(g(activate(_x21)), X2)
activate#(n__f(n__f(n__g(n__f(_x61, _x62)), _x22), X2)) → f#(f(n__g(f(activate(_x61), _x62)), _x22), X2)activate#(n__f(n__f(n__f(_x61, _x42), _x32), X2)) → f#(n__f(f(_x61, _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(activate(_x81), _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(_x61), _x42), _x22), X2)) → f#(f(f(g(activate(_x61)), _x42), _x22), X2)
activate#(n__f(n__f(n__g(n__f(_x61, _x62)), _x22), X2)) → f#(f(g(f(activate(_x61), _x62)), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(g(activate(_x101)), _x82), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__g(_x61), _x32), X2)) → f#(n__f(g(_x61), _x32), X2)activate#(n__f(n__f(n__g(_x41), _x32), X2)) → f#(n__f(n__g(_x41), _x32), X2)
activate#(n__g(X)) → activate#(X)activate#(n__f(n__f(n__f(_x51, _x42), _x32), X2)) → f#(n__f(f(_x51, _x42), _x32), X2)
activate#(n__f(_x21, X2)) → f#(_x21, X2)activate#(n__f(n__f(g(_x32), _x31), X2)) → f#(f(_x32, n__f(n__g(_x32), activate(_x31))), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x102), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(f(activate(_x101), _x102), _x82), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(_x61, _x62), _x42), _x32), X2)) → f#(n__f(f(f(activate(_x61), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(activate(_x81), _x82), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__g(n__g(_x61)), _x22), X2)) → f#(f(g(g(activate(_x61))), _x22), X2)
f#(g(X), Y) → activate#(Y)activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x62), _x52), _x22), X2)) → f#(f(n__f(f(f(activate(_x81), _x82), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__g(_x81), _x62), _x42), _x22), X2)) → f#(f(f(f(g(activate(_x81)), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x72), _x42), _x22), X2)) → f#(f(f(n__f(f(activate(_x81), _x82), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__g(_x32), _x31), X2)) → f#(f(_x32, n__f(n__g(_x32), activate(_x31))), X2)f#(g(X), Y) → f#(X, n__f(n__g(X), activate(Y)))
activate#(n__f(n__f(n__g(_x41), _x31), X2)) → f#(f(activate(_x41), n__f(n__g(activate(_x41)), activate(_x31))), X2)activate#(n__f(n__f(_x21, _x32), X2)) → f#(n__f(activate(_x21), _x32), X2)
activate#(n__f(n__f(n__f(_x41, _x52), _x22), X2)) → f#(f(n__f(activate(_x41), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(_x61, _x72), _x42), _x22), X2)) → f#(f(f(n__f(activate(_x61), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__g(_x61), _x22), X2)) → f#(f(n__g(_x61), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x101, _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(_x101, _x82), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(_x81, _x62), _x42), _x22), X2)) → f#(f(f(f(_x81, _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(_x61, _x62), _x52), _x22), X2)) → f#(f(n__f(f(activate(_x61), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(_x51), _x42), _x32), X2)) → f#(n__f(f(g(activate(_x51)), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(_x51, _x52), _x42), _x32), X2)) → f#(n__f(f(f(activate(_x51), _x52), _x42), _x32), X2)
activate#(n__f(n__f(n__g(n__g(_x61)), _x22), X2)) → f#(f(n__g(g(activate(_x61))), _x22), X2)activate#(n__f(n__f(n__f(_x41, _x32), _x32), X2)) → f#(n__f(n__f(activate(_x41), _x32), _x32), X2)
activate#(n__f(n__f(n__f(g(_x52), _x51), _x22), X2)) → f#(f(f(_x52, n__f(n__g(_x52), activate(_x51))), _x22), X2)activate#(n__f(X1, X2)) → activate#(X1)
activate#(n__f(n__f(n__g(_x41), _x32), X2)) → f#(n__f(g(activate(_x41)), _x32), X2)

Rewrite Rules

f(g(X), Y) → f(X, n__f(n__g(X), activate(Y)))f(X1, X2) → n__f(X1, X2)
g(X) → n__g(X)activate(n__f(X1, X2)) → f(activate(X1), X2)
activate(n__g(X)) → g(activate(X))activate(X) → X

Original Signature

Termination of terms over the following signature is verified: f, activate, g, n__f, n__g

Strategy

The right-hand side of the rule activate#(n__f(n__f(n__g(_x41), _x32), X2)) → f#(n__f(n__g(activate(_x41)), _x32), X2) 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
f#(n__f(n__g(g(activate(_x51))), _x32), X2) 
f#(n__f(n__g(_x51), _x32), X2) 
f#(n__f(n__g(f(activate(_x51), _x52)), _x32), X2) 
Thus, the rule activate#(n__f(n__f(n__g(_x41), _x32), X2)) → f#(n__f(n__g(activate(_x41)), _x32), X2) is replaced by the following rules:
activate#(n__f(n__f(n__g(_x51), _x32), X2)) → f#(n__f(n__g(_x51), _x32), X2)activate#(n__f(n__f(n__g(n__g(_x51)), _x32), X2)) → f#(n__f(n__g(g(activate(_x51))), _x32), X2)
activate#(n__f(n__f(n__g(n__f(_x51, _x52)), _x32), X2)) → f#(n__f(n__g(f(activate(_x51), _x52)), _x32), X2)

Problem 18: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

activate#(n__f(n__f(n__g(n__f(_x61, _x62)), _x22), X2)) → f#(f(n__g(f(activate(_x61), _x62)), _x22), X2)activate#(n__f(n__g(_x21), X2)) → f#(g(activate(_x21)), X2)
activate#(n__f(n__f(n__g(_x51), _x32), X2)) → f#(n__f(n__g(_x51), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(activate(_x81), _x92), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(_x61, _x42), _x32), X2)) → f#(n__f(f(_x61, _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(_x61), _x42), _x22), X2)) → f#(f(f(g(activate(_x61)), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(g(activate(_x101)), _x82), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__g(n__f(_x61, _x62)), _x22), X2)) → f#(f(g(f(activate(_x61), _x62)), _x22), X2)
activate#(n__f(n__f(n__g(_x41), _x32), X2)) → f#(n__f(n__g(_x41), _x32), X2)activate#(n__f(n__f(n__g(_x61), _x32), X2)) → f#(n__f(g(_x61), _x32), X2)
activate#(n__g(X)) → activate#(X)activate#(n__f(n__f(n__f(_x51, _x42), _x32), X2)) → f#(n__f(f(_x51, _x42), _x32), X2)
activate#(n__f(_x21, X2)) → f#(_x21, X2)activate#(n__f(n__f(g(_x32), _x31), X2)) → f#(f(_x32, n__f(n__g(_x32), activate(_x31))), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x102), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(f(activate(_x101), _x102), _x82), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(_x61, _x62), _x42), _x32), X2)) → f#(n__f(f(f(activate(_x61), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(activate(_x81), _x82), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__g(n__g(_x61)), _x22), X2)) → f#(f(g(g(activate(_x61))), _x22), X2)
f#(g(X), Y) → activate#(Y)activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x62), _x52), _x22), X2)) → f#(f(n__f(f(f(activate(_x81), _x82), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__g(_x81), _x62), _x42), _x22), X2)) → f#(f(f(f(g(activate(_x81)), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x72), _x42), _x22), X2)) → f#(f(f(n__f(f(activate(_x81), _x82), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__g(_x32), _x31), X2)) → f#(f(_x32, n__f(n__g(_x32), activate(_x31))), X2)f#(g(X), Y) → f#(X, n__f(n__g(X), activate(Y)))
activate#(n__f(n__f(n__g(_x41), _x31), X2)) → f#(f(activate(_x41), n__f(n__g(activate(_x41)), activate(_x31))), X2)activate#(n__f(n__f(_x21, _x32), X2)) → f#(n__f(activate(_x21), _x32), X2)
activate#(n__f(n__f(n__f(n__f(_x61, _x72), _x42), _x22), X2)) → f#(f(f(n__f(activate(_x61), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__f(_x41, _x52), _x22), X2)) → f#(f(n__f(activate(_x41), _x52), _x22), X2)
activate#(n__f(n__f(n__g(_x61), _x22), X2)) → f#(f(n__g(_x61), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x101, _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(_x101, _x82), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(_x81, _x62), _x42), _x22), X2)) → f#(f(f(f(_x81, _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(_x61, _x62), _x52), _x22), X2)) → f#(f(n__f(f(activate(_x61), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(_x51, _x52), _x42), _x32), X2)) → f#(n__f(f(f(activate(_x51), _x52), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(_x51), _x42), _x32), X2)) → f#(n__f(f(g(activate(_x51)), _x42), _x32), X2)
activate#(n__f(n__f(n__g(n__g(_x61)), _x22), X2)) → f#(f(n__g(g(activate(_x61))), _x22), X2)activate#(n__f(n__f(n__g(n__g(_x51)), _x32), X2)) → f#(n__f(n__g(g(activate(_x51))), _x32), X2)
activate#(n__f(n__f(n__f(_x41, _x32), _x32), X2)) → f#(n__f(n__f(activate(_x41), _x32), _x32), X2)activate#(n__f(n__f(n__f(g(_x52), _x51), _x22), X2)) → f#(f(f(_x52, n__f(n__g(_x52), activate(_x51))), _x22), X2)
activate#(n__f(n__f(n__g(_x41), _x32), X2)) → f#(n__f(g(activate(_x41)), _x32), X2)activate#(n__f(X1, X2)) → activate#(X1)
activate#(n__f(n__f(n__g(n__f(_x51, _x52)), _x32), X2)) → f#(n__f(n__g(f(activate(_x51), _x52)), _x32), X2)

Rewrite Rules

f(g(X), Y) → f(X, n__f(n__g(X), activate(Y)))f(X1, X2) → n__f(X1, X2)
g(X) → n__g(X)activate(n__f(X1, X2)) → f(activate(X1), X2)
activate(n__g(X)) → g(activate(X))activate(X) → X

Original Signature

Termination of terms over the following signature is verified: activate, f, g, n__f, n__g

Strategy

The right-hand side of the rule activate#(n__f(n__f(n__g(_x51), _x32), X2)) → f#(n__f(n__g(_x51), _x32), X2) 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 activate#(n__f(n__f(n__g(_x51), _x32), X2)) → f#(n__f(n__g(_x51), _x32), X2) is deleted.

Problem 19: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

activate#(n__f(n__g(_x21), X2)) → f#(g(activate(_x21)), X2)activate#(n__f(n__f(n__g(n__f(_x61, _x62)), _x22), X2)) → f#(f(n__g(f(activate(_x61), _x62)), _x22), X2)
activate#(n__f(n__f(n__f(_x61, _x42), _x32), X2)) → f#(n__f(f(_x61, _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(activate(_x81), _x92), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(_x61), _x42), _x22), X2)) → f#(f(f(g(activate(_x61)), _x42), _x22), X2)activate#(n__f(n__f(n__g(n__f(_x61, _x62)), _x22), X2)) → f#(f(g(f(activate(_x61), _x62)), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(g(activate(_x101)), _x82), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__g(_x61), _x32), X2)) → f#(n__f(g(_x61), _x32), X2)
activate#(n__f(n__f(n__g(_x41), _x32), X2)) → f#(n__f(n__g(_x41), _x32), X2)activate#(n__g(X)) → activate#(X)
activate#(n__f(n__f(n__f(_x51, _x42), _x32), X2)) → f#(n__f(f(_x51, _x42), _x32), X2)activate#(n__f(_x21, X2)) → f#(_x21, X2)
activate#(n__f(n__f(g(_x32), _x31), X2)) → f#(f(_x32, n__f(n__g(_x32), activate(_x31))), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x102), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(f(activate(_x101), _x102), _x82), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(_x61, _x62), _x42), _x32), X2)) → f#(n__f(f(f(activate(_x61), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(activate(_x81), _x82), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__g(n__g(_x61)), _x22), X2)) → f#(f(g(g(activate(_x61))), _x22), X2)f#(g(X), Y) → activate#(Y)
activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x62), _x52), _x22), X2)) → f#(f(n__f(f(f(activate(_x81), _x82), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__g(_x81), _x62), _x42), _x22), X2)) → f#(f(f(f(g(activate(_x81)), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x72), _x42), _x22), X2)) → f#(f(f(n__f(f(activate(_x81), _x82), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__g(_x32), _x31), X2)) → f#(f(_x32, n__f(n__g(_x32), activate(_x31))), X2)
f#(g(X), Y) → f#(X, n__f(n__g(X), activate(Y)))activate#(n__f(n__f(n__g(_x41), _x31), X2)) → f#(f(activate(_x41), n__f(n__g(activate(_x41)), activate(_x31))), X2)
activate#(n__f(n__f(_x21, _x32), X2)) → f#(n__f(activate(_x21), _x32), X2)activate#(n__f(n__f(n__f(_x41, _x52), _x22), X2)) → f#(f(n__f(activate(_x41), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(_x61, _x72), _x42), _x22), X2)) → f#(f(f(n__f(activate(_x61), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__g(_x61), _x22), X2)) → f#(f(n__g(_x61), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x101, _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(_x101, _x82), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(_x81, _x62), _x42), _x22), X2)) → f#(f(f(f(_x81, _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(_x61, _x62), _x52), _x22), X2)) → f#(f(n__f(f(activate(_x61), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(_x51), _x42), _x32), X2)) → f#(n__f(f(g(activate(_x51)), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(_x51, _x52), _x42), _x32), X2)) → f#(n__f(f(f(activate(_x51), _x52), _x42), _x32), X2)activate#(n__f(n__f(n__g(n__g(_x61)), _x22), X2)) → f#(f(n__g(g(activate(_x61))), _x22), X2)
activate#(n__f(n__f(n__g(n__g(_x51)), _x32), X2)) → f#(n__f(n__g(g(activate(_x51))), _x32), X2)activate#(n__f(n__f(n__f(_x41, _x32), _x32), X2)) → f#(n__f(n__f(activate(_x41), _x32), _x32), X2)
activate#(n__f(n__f(n__f(g(_x52), _x51), _x22), X2)) → f#(f(f(_x52, n__f(n__g(_x52), activate(_x51))), _x22), X2)activate#(n__f(X1, X2)) → activate#(X1)
activate#(n__f(n__f(n__g(_x41), _x32), X2)) → f#(n__f(g(activate(_x41)), _x32), X2)activate#(n__f(n__f(n__g(n__f(_x51, _x52)), _x32), X2)) → f#(n__f(n__g(f(activate(_x51), _x52)), _x32), X2)

Rewrite Rules

f(g(X), Y) → f(X, n__f(n__g(X), activate(Y)))f(X1, X2) → n__f(X1, X2)
g(X) → n__g(X)activate(n__f(X1, X2)) → f(activate(X1), X2)
activate(n__g(X)) → g(activate(X))activate(X) → X

Original Signature

Termination of terms over the following signature is verified: f, activate, g, n__f, n__g

Strategy

The right-hand side of the rule activate#(n__f(n__f(n__g(n__f(_x61, _x62)), _x22), X2)) → f#(f(n__g(f(activate(_x61), _x62)), _x22), X2) 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
f#(f(n__g(f(_x71, _x62)), _x22), X2) 
f#(f(n__g(f(f(activate(_x71), _x72), _x62)), _x22), X2) 
f#(n__f(n__g(f(activate(_x61), _x62)), _x32), X2) 
f#(f(n__g(f(g(activate(_x71)), _x62)), _x22), X2) 
f#(f(n__g(n__f(activate(_x61), _x52)), _x22), X2) 
Thus, the rule activate#(n__f(n__f(n__g(n__f(_x61, _x62)), _x22), X2)) → f#(f(n__g(f(activate(_x61), _x62)), _x22), X2) is replaced by the following rules:
activate#(n__f(n__f(n__g(n__f(_x61, _x52)), _x22), X2)) → f#(f(n__g(n__f(activate(_x61), _x52)), _x22), X2)activate#(n__f(n__f(n__g(n__f(n__g(_x71), _x62)), _x22), X2)) → f#(f(n__g(f(g(activate(_x71)), _x62)), _x22), X2)
activate#(n__f(n__f(n__g(n__f(_x61, _x62)), _x32), X2)) → f#(n__f(n__g(f(activate(_x61), _x62)), _x32), X2)activate#(n__f(n__f(n__g(n__f(_x71, _x62)), _x22), X2)) → f#(f(n__g(f(_x71, _x62)), _x22), X2)
activate#(n__f(n__f(n__g(n__f(n__f(_x71, _x72), _x62)), _x22), X2)) → f#(f(n__g(f(f(activate(_x71), _x72), _x62)), _x22), X2)

Problem 20: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

activate#(n__f(n__g(_x21), X2)) → f#(g(activate(_x21)), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(activate(_x81), _x92), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(_x61, _x42), _x32), X2)) → f#(n__f(f(_x61, _x42), _x32), X2)activate#(n__f(n__f(n__g(n__f(_x61, _x62)), _x32), X2)) → f#(n__f(n__g(f(activate(_x61), _x62)), _x32), X2)
activate#(n__f(n__f(n__f(n__g(_x61), _x42), _x22), X2)) → f#(f(f(g(activate(_x61)), _x42), _x22), X2)activate#(n__f(n__f(n__g(n__f(_x71, _x62)), _x22), X2)) → f#(f(n__g(f(_x71, _x62)), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(g(activate(_x101)), _x82), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__g(n__f(_x61, _x62)), _x22), X2)) → f#(f(g(f(activate(_x61), _x62)), _x22), X2)
activate#(n__f(n__f(n__g(_x41), _x32), X2)) → f#(n__f(n__g(_x41), _x32), X2)activate#(n__f(n__f(n__g(_x61), _x32), X2)) → f#(n__f(g(_x61), _x32), X2)
activate#(n__g(X)) → activate#(X)activate#(n__f(n__f(n__f(_x51, _x42), _x32), X2)) → f#(n__f(f(_x51, _x42), _x32), X2)
activate#(n__f(n__f(n__g(n__f(_x61, _x52)), _x22), X2)) → f#(f(n__g(n__f(activate(_x61), _x52)), _x22), X2)activate#(n__f(_x21, X2)) → f#(_x21, X2)
activate#(n__f(n__f(g(_x32), _x31), X2)) → f#(f(_x32, n__f(n__g(_x32), activate(_x31))), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x102), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(f(activate(_x101), _x102), _x82), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(_x61, _x62), _x42), _x32), X2)) → f#(n__f(f(f(activate(_x61), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(activate(_x81), _x82), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__g(n__g(_x61)), _x22), X2)) → f#(f(g(g(activate(_x61))), _x22), X2)f#(g(X), Y) → activate#(Y)
activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x62), _x52), _x22), X2)) → f#(f(n__f(f(f(activate(_x81), _x82), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__g(_x81), _x62), _x42), _x22), X2)) → f#(f(f(f(g(activate(_x81)), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x72), _x42), _x22), X2)) → f#(f(f(n__f(f(activate(_x81), _x82), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__g(_x32), _x31), X2)) → f#(f(_x32, n__f(n__g(_x32), activate(_x31))), X2)
f#(g(X), Y) → f#(X, n__f(n__g(X), activate(Y)))activate#(n__f(n__f(n__g(_x41), _x31), X2)) → f#(f(activate(_x41), n__f(n__g(activate(_x41)), activate(_x31))), X2)
activate#(n__f(n__f(n__g(n__f(n__g(_x71), _x62)), _x22), X2)) → f#(f(n__g(f(g(activate(_x71)), _x62)), _x22), X2)activate#(n__f(n__f(_x21, _x32), X2)) → f#(n__f(activate(_x21), _x32), X2)
activate#(n__f(n__f(n__f(n__f(_x61, _x72), _x42), _x22), X2)) → f#(f(f(n__f(activate(_x61), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__f(_x41, _x52), _x22), X2)) → f#(f(n__f(activate(_x41), _x52), _x22), X2)
activate#(n__f(n__f(n__g(_x61), _x22), X2)) → f#(f(n__g(_x61), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x101, _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(_x101, _x82), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(_x81, _x62), _x42), _x22), X2)) → f#(f(f(f(_x81, _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(_x61, _x62), _x52), _x22), X2)) → f#(f(n__f(f(activate(_x61), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(_x51, _x52), _x42), _x32), X2)) → f#(n__f(f(f(activate(_x51), _x52), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(_x51), _x42), _x32), X2)) → f#(n__f(f(g(activate(_x51)), _x42), _x32), X2)
activate#(n__f(n__f(n__g(n__g(_x61)), _x22), X2)) → f#(f(n__g(g(activate(_x61))), _x22), X2)activate#(n__f(n__f(n__g(n__g(_x51)), _x32), X2)) → f#(n__f(n__g(g(activate(_x51))), _x32), X2)
activate#(n__f(n__f(n__f(_x41, _x32), _x32), X2)) → f#(n__f(n__f(activate(_x41), _x32), _x32), X2)activate#(n__f(n__f(n__f(g(_x52), _x51), _x22), X2)) → f#(f(f(_x52, n__f(n__g(_x52), activate(_x51))), _x22), X2)
activate#(n__f(n__f(n__g(_x41), _x32), X2)) → f#(n__f(g(activate(_x41)), _x32), X2)activate#(n__f(X1, X2)) → activate#(X1)
activate#(n__f(n__f(n__g(n__f(_x51, _x52)), _x32), X2)) → f#(n__f(n__g(f(activate(_x51), _x52)), _x32), X2)activate#(n__f(n__f(n__g(n__f(n__f(_x71, _x72), _x62)), _x22), X2)) → f#(f(n__g(f(f(activate(_x71), _x72), _x62)), _x22), X2)

Rewrite Rules

f(g(X), Y) → f(X, n__f(n__g(X), activate(Y)))f(X1, X2) → n__f(X1, X2)
g(X) → n__g(X)activate(n__f(X1, X2)) → f(activate(X1), X2)
activate(n__g(X)) → g(activate(X))activate(X) → X

Original Signature

Termination of terms over the following signature is verified: activate, f, g, n__f, n__g

Strategy

The right-hand side of the rule activate#(n__f(n__f(n__f(_x61, _x42), _x32), X2)) → f#(n__f(f(_x61, _x42), _x32), X2) 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
f#(n__f(n__f(_x31, _x32), _x32), X2) 
f#(n__f(f(_x32, n__f(n__g(_x32), activate(_x31))), _x32), X2) 
Thus, the rule activate#(n__f(n__f(n__f(_x61, _x42), _x32), X2)) → f#(n__f(f(_x61, _x42), _x32), X2) is replaced by the following rules:
activate#(n__f(n__f(n__f(_x31, _x32), _x32), X2)) → f#(n__f(n__f(_x31, _x32), _x32), X2)activate#(n__f(n__f(n__f(g(_x32), _x31), _x32), X2)) → f#(n__f(f(_x32, n__f(n__g(_x32), activate(_x31))), _x32), X2)

Problem 21: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

activate#(n__f(n__g(_x21), X2)) → f#(g(activate(_x21)), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(activate(_x81), _x92), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__g(n__f(_x61, _x62)), _x32), X2)) → f#(n__f(n__g(f(activate(_x61), _x62)), _x32), X2)activate#(n__f(n__f(n__g(n__f(_x71, _x62)), _x22), X2)) → f#(f(n__g(f(_x71, _x62)), _x22), X2)
activate#(n__f(n__f(n__f(n__g(_x61), _x42), _x22), X2)) → f#(f(f(g(activate(_x61)), _x42), _x22), X2)activate#(n__f(n__f(n__g(n__f(_x61, _x62)), _x22), X2)) → f#(f(g(f(activate(_x61), _x62)), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(g(activate(_x101)), _x82), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(_x31, _x32), _x32), X2)) → f#(n__f(n__f(_x31, _x32), _x32), X2)
activate#(n__f(n__f(n__g(_x61), _x32), X2)) → f#(n__f(g(_x61), _x32), X2)activate#(n__f(n__f(n__g(_x41), _x32), X2)) → f#(n__f(n__g(_x41), _x32), X2)
activate#(n__g(X)) → activate#(X)activate#(n__f(n__f(n__g(n__f(_x61, _x52)), _x22), X2)) → f#(f(n__g(n__f(activate(_x61), _x52)), _x22), X2)
activate#(n__f(n__f(n__f(_x51, _x42), _x32), X2)) → f#(n__f(f(_x51, _x42), _x32), X2)activate#(n__f(_x21, X2)) → f#(_x21, X2)
activate#(n__f(n__f(g(_x32), _x31), X2)) → f#(f(_x32, n__f(n__g(_x32), activate(_x31))), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x102), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(f(activate(_x101), _x102), _x82), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(_x61, _x62), _x42), _x32), X2)) → f#(n__f(f(f(activate(_x61), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(activate(_x81), _x82), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__g(n__g(_x61)), _x22), X2)) → f#(f(g(g(activate(_x61))), _x22), X2)f#(g(X), Y) → activate#(Y)
activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x62), _x52), _x22), X2)) → f#(f(n__f(f(f(activate(_x81), _x82), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__g(_x81), _x62), _x42), _x22), X2)) → f#(f(f(f(g(activate(_x81)), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x72), _x42), _x22), X2)) → f#(f(f(n__f(f(activate(_x81), _x82), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__g(_x32), _x31), X2)) → f#(f(_x32, n__f(n__g(_x32), activate(_x31))), X2)
f#(g(X), Y) → f#(X, n__f(n__g(X), activate(Y)))activate#(n__f(n__f(n__g(n__f(n__g(_x71), _x62)), _x22), X2)) → f#(f(n__g(f(g(activate(_x71)), _x62)), _x22), X2)
activate#(n__f(n__f(n__g(_x41), _x31), X2)) → f#(f(activate(_x41), n__f(n__g(activate(_x41)), activate(_x31))), X2)activate#(n__f(n__f(_x21, _x32), X2)) → f#(n__f(activate(_x21), _x32), X2)
activate#(n__f(n__f(n__f(_x41, _x52), _x22), X2)) → f#(f(n__f(activate(_x41), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(_x61, _x72), _x42), _x22), X2)) → f#(f(f(n__f(activate(_x61), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__g(_x61), _x22), X2)) → f#(f(n__g(_x61), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x101, _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(_x101, _x82), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(_x81, _x62), _x42), _x22), X2)) → f#(f(f(f(_x81, _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(_x61, _x62), _x52), _x22), X2)) → f#(f(n__f(f(activate(_x61), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(_x51), _x42), _x32), X2)) → f#(n__f(f(g(activate(_x51)), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(_x51, _x52), _x42), _x32), X2)) → f#(n__f(f(f(activate(_x51), _x52), _x42), _x32), X2)
activate#(n__f(n__f(n__g(n__g(_x61)), _x22), X2)) → f#(f(n__g(g(activate(_x61))), _x22), X2)activate#(n__f(n__f(n__g(n__g(_x51)), _x32), X2)) → f#(n__f(n__g(g(activate(_x51))), _x32), X2)
activate#(n__f(n__f(n__f(_x41, _x32), _x32), X2)) → f#(n__f(n__f(activate(_x41), _x32), _x32), X2)activate#(n__f(n__f(n__f(g(_x52), _x51), _x22), X2)) → f#(f(f(_x52, n__f(n__g(_x52), activate(_x51))), _x22), X2)
activate#(n__f(X1, X2)) → activate#(X1)activate#(n__f(n__f(n__g(_x41), _x32), X2)) → f#(n__f(g(activate(_x41)), _x32), X2)
activate#(n__f(n__f(n__g(n__f(n__f(_x71, _x72), _x62)), _x22), X2)) → f#(f(n__g(f(f(activate(_x71), _x72), _x62)), _x22), X2)activate#(n__f(n__f(n__g(n__f(_x51, _x52)), _x32), X2)) → f#(n__f(n__g(f(activate(_x51), _x52)), _x32), X2)
activate#(n__f(n__f(n__f(g(_x32), _x31), _x32), X2)) → f#(n__f(f(_x32, n__f(n__g(_x32), activate(_x31))), _x32), X2)

Rewrite Rules

f(g(X), Y) → f(X, n__f(n__g(X), activate(Y)))f(X1, X2) → n__f(X1, X2)
g(X) → n__g(X)activate(n__f(X1, X2)) → f(activate(X1), X2)
activate(n__g(X)) → g(activate(X))activate(X) → X

Original Signature

Termination of terms over the following signature is verified: f, activate, g, n__f, n__g

Strategy

The right-hand side of the rule activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(activate(_x81), _x92), _x62), _x42), _x22), X2) 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
f#(f(n__f(f(n__f(activate(_x81), _x92), _x62), _x52), _x22), X2) 
f#(n__f(f(f(n__f(activate(_x81), _x92), _x62), _x42), _x32), X2) 
f#(f(f(n__f(n__f(activate(_x81), _x92), _x72), _x42), _x22), X2) 
f#(f(f(f(n__f(_x111, _x92), _x62), _x42), _x22), X2) 
f#(f(f(f(n__f(g(activate(_x111)), _x92), _x62), _x42), _x22), X2) 
f#(f(f(f(n__f(f(activate(_x111), _x112), _x92), _x62), _x42), _x22), X2) 
Thus, the rule activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(activate(_x81), _x92), _x62), _x42), _x22), X2) is replaced by the following rules:
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x111, _x112), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(activate(_x111), _x112), _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(activate(_x81), _x92), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x92), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(activate(_x81), _x92), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(activate(_x81), _x92), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x111, _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(_x111, _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x111), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(g(activate(_x111)), _x92), _x62), _x42), _x22), X2)

Problem 22: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x101, _x92))), _x51), _x22), X2)) → f#(f(f(n__g(f(_x101, _x92)), n__f(n__g(n__g(f(_x101, _x92))), activate(_x51))), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x101), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(g(activate(_x101)), _x92))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(_x61), _x52), _x22), X2)) → f#(f(n__f(n__g(activate(_x61)), _x52), _x22), X2)activate#(n__f(n__f(n__g(n__f(n__g(_x81), _x52)), _x22), X2)) → f#(f(n__g(n__f(g(activate(_x81)), _x52)), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x102), _x82), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(f(f(activate(_x101), _x102), _x82), _x72), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x92), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(activate(_x81), _x92), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__g(_x41), _x31), X2)) → f#(f(activate(_x41), n__f(n__g(activate(_x41)), activate(_x31))), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x101))), _x42), _x22), X2)) → f#(f(f(g(g(g(_x101))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x52), _x62), _x32), _x32), X2)) → f#(n__f(n__f(f(n__f(activate(_x81), _x52), _x62), _x32), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x91), _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(g(activate(_x91)), _x92), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x61), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(g(activate(_x61)), _x82), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x101, _x102)))), _x51), _x22), X2)) → f#(f(f(g(g(f(activate(_x101), _x102))), n__f(n__g(g(g(f(activate(_x101), _x102)))), activate(_x51))), _x22), X2)
activate#(n__f(n__f(n__f(n__f(_x61, _x62), _x52), _x22), X2)) → f#(f(n__f(f(activate(_x61), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x102), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(f(n__f(activate(_x121), _x132), _x102), _x82), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(_x41, _x32), _x32), X2)) → f#(n__f(n__f(activate(_x41), _x32), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x62), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(activate(_x81), _x62), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x71, _x72), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(activate(_x71), _x72), _x92), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__g(_x41), _x32), X2)) → f#(n__f(g(activate(_x41)), _x32), X2)
activate#(n__f(n__f(n__f(n__g(_x61), _x42), _x32), X2)) → f#(n__f(f(g(activate(_x61)), _x42), _x32), X2)activate#(n__f(n__f(n__g(n__f(_x51, _x52)), _x32), X2)) → f#(n__f(n__g(f(activate(_x51), _x52)), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x111, _x112), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(activate(_x111), _x112), _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__g(n__f(n__f(_x81, _x72), _x52)), _x22), X2)) → f#(f(n__g(n__f(n__f(activate(_x81), _x72), _x52)), _x22), X2)
activate#(n__f(n__f(n__g(n__f(_x51, _x52)), _x32), X2)) → f#(n__f(n__g(n__f(_x51, _x52)), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x111, _x102)))), _x42), _x22), X2)) → f#(f(f(g(g(g(f(_x111, _x102)))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x71, _x52), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(_x71, _x52), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x111), _x92))), _x51), _x22), X2)) → f#(f(f(n__g(f(g(_x111), _x92)), n__f(n__g(n__g(f(g(_x111), _x92))), activate(_x51))), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(g(activate(_x101)), _x82), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__g(_x61), _x32), X2)) → f#(n__f(g(_x61), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x71), _x82), _x62), _x52), _x22), X2)) → f#(f(n__f(f(f(g(activate(_x71)), _x82), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x81, _x92))), _x52), _x22), X2)) → f#(f(n__f(g(n__g(f(_x81, _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(_x61), _x52), _x32), X2)) → f#(n__f(n__f(g(activate(_x61)), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(_x81)), _x42), _x22), X2)) → f#(f(f(n__g(g(activate(_x81))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x102), _x72), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(f(activate(_x101), _x102), _x72), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(_x61, _x72), _x42), _x22), X2)) → f#(f(f(n__f(activate(_x61), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__f(_x41, _x52), _x22), X2)) → f#(f(n__f(activate(_x41), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x91, _x92))), _x42), _x22), X2)) → f#(f(f(n__g(n__g(f(activate(_x91), _x92))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x61, _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(_x61, _x82), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x92), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(n__f(activate(_x81), _x92), _x72), _x42), _x32), X2)
activate#(n__f(n__f(n__g(n__g(_x61)), _x22), X2)) → f#(f(g(n__g(activate(_x61))), _x22), X2)activate#(n__f(n__f(n__g(n__f(_x71, _x62)), _x32), X2)) → f#(n__f(n__g(f(_x71, _x62)), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x91), _x92))), _x42), _x22), X2)) → f#(f(f(g(n__g(f(n__g(_x91), _x92))), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x102), _x82), _x62), _x52), _x22), X2)) → f#(f(n__f(f(f(f(activate(_x101), _x102), _x82), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(_x81, _x82), _x72))), _x52), _x22), X2)) → f#(f(n__f(g(n__g(n__f(f(activate(_x81), _x82), _x72))), _x52), _x22), X2)activate#(n__f(n__f(n__f(g(_x52), _x51), _x22), X2)) → f#(f(f(_x52, n__f(n__g(_x52), activate(_x51))), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x102), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(f(activate(_x101), _x102), _x82), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x81), _x92))), _x52), _x22), X2)) → f#(f(n__f(g(n__g(f(g(activate(_x81)), _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x91))), _x42), _x32), X2)) → f#(n__f(f(g(g(g(activate(_x91)))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x81, _x82))), _x42), _x22), X2)) → f#(f(f(g(n__g(n__f(_x81, _x82))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x91, _x92))), _x51), _x22), X2)) → f#(f(f(n__g(f(activate(_x91), _x92)), n__f(n__g(n__g(f(activate(_x91), _x92))), activate(_x51))), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x52), _x52), _x22), X2)) → f#(f(n__f(n__f(f(activate(_x81), _x82), _x52), _x52), _x22), X2)
activate#(n__f(n__f(g(_x32), _x31), X2)) → f#(f(_x32, n__f(n__g(_x32), activate(_x31))), X2)activate#(n__f(n__f(n__f(n__f(_x61, _x62), _x42), _x32), X2)) → f#(n__f(f(f(activate(_x61), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x91, _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(_x91, _x92), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x71, _x92), _x52), _x52), _x22), X2)) → f#(f(n__f(n__f(n__f(_x71, _x92), _x52), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x91))), _x42), _x22), X2)) → f#(f(f(n__g(g(g(activate(_x91)))), _x42), _x22), X2)f#(g(X), Y) → f#(X, n__f(n__g(X), activate(Y)))
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x101), _x92))), _x51), _x22), X2)) → f#(f(f(n__g(f(g(activate(_x101)), _x92)), n__f(n__g(n__g(f(g(activate(_x101)), _x92))), activate(_x51))), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(_x71)), _x52), _x22), X2)) → f#(f(n__f(g(g(activate(_x71))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x82), _x81))), _x42), _x22), X2)) → f#(f(f(g(n__g(f(_x82, n__f(n__g(_x82), activate(_x81))))), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x112), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(n__f(activate(_x101), _x112), _x82), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x91, _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(activate(_x91), _x92))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x92), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(n__f(activate(_x81), _x92), _x62), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x111), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(g(activate(_x111)), _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x111), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(g(_x111), _x92))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x141, _x122), _x102), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(f(f(_x141, _x122), _x102), _x82), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x61, _x62), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(f(activate(_x61), _x62), _x82), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x82), _x72), _x42), _x22), X2)) → f#(f(f(n__f(f(n__f(_x81, _x82), _x82), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x102), _x82), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(f(f(_x91, _x102), _x82), _x72), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x71, _x92), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(n__f(_x71, _x92), _x62), _x52), _x32), X2)activate#(n__f(n__f(n__g(n__f(_x61, _x62)), _x32), X2)) → f#(n__f(n__g(f(activate(_x61), _x62)), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x91), _x102), _x82), _x72), _x42), _x22), X2)) → f#(f(f(n__f(f(f(g(activate(_x91)), _x102), _x82), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(_x81)), _x52), _x22), X2)) → f#(f(n__f(g(g(activate(_x81))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(_x101, _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(g(n__g(f(f(_x101, _x82), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__g(_x41), _x32), X2)) → f#(n__f(n__g(_x41), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x71, _x82), _x62), _x52), _x22), X2)) → f#(f(n__f(f(f(_x71, _x82), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__g(n__g(_x71)), _x22), X2)) → f#(f(g(g(_x71)), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x92), _x102), _x82), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(f(f(f(activate(_x91), _x92), _x102), _x82), _x72), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x91))), _x51), _x22), X2)) → f#(f(f(g(g(activate(_x91))), n__f(n__g(g(g(activate(_x91)))), activate(_x51))), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__g(_x101)))), _x42), _x22), X2)) → f#(f(f(g(g(g(g(activate(_x101))))), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(_x81, _x92), _x92))), _x52), _x22), X2)) → f#(f(n__f(g(n__g(f(n__f(activate(_x81), _x92), _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x102), _x82), _x72), _x52), _x22), X2)) → f#(f(n__f(n__f(f(f(activate(_x101), _x102), _x82), _x72), _x52), _x22), X2)activate#(n__f(n__f(_x21, _x32), X2)) → f#(n__f(activate(_x21), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x101), _x81))), _x42), _x22), X2)) → f#(f(f(g(n__g(f(activate(_x101), n__f(n__g(activate(_x101)), activate(_x81))))), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x141), _x122), _x102), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(f(f(g(activate(_x141)), _x122), _x102), _x82), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x101, _x102)))), _x52), _x22), X2)) → f#(f(n__f(g(g(g(f(activate(_x101), _x102)))), _x52), _x22), X2)activate#(n__f(n__f(n__g(n__f(g(_x52), _x51)), _x22), X2)) → f#(f(n__g(f(_x52, n__f(n__g(_x52), activate(_x51)))), _x22), X2)
activate#(n__f(_x21, X2)) → f#(_x21, X2)activate#(n__f(n__f(n__g(n__g(_x61)), _x31), X2)) → f#(f(g(activate(_x61)), n__f(n__g(g(activate(_x61))), activate(_x31))), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x92), _x102), _x72), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(f(f(activate(_x91), _x92), _x102), _x72), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x91, _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(activate(_x91), _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x71, _x92))), _x52), _x32), X2)) → f#(n__f(n__f(g(n__g(f(_x71, _x92))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x42), _x42), _x32), X2)) → f#(n__f(f(n__f(f(activate(_x81), _x82), _x42), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x101, _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(_x101, _x92))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x91))), _x52), _x22), X2)) → f#(f(n__f(g(g(g(activate(_x91)))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x101), _x82))), _x42), _x22), X2)) → f#(f(f(g(n__g(n__f(g(activate(_x101)), _x82))), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x71), _x52), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(g(activate(_x71)), _x52), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(_x81)), _x42), _x32), X2)) → f#(n__f(f(g(g(activate(_x81))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x122), _x102), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(f(f(activate(_x121), _x122), _x102), _x82), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x102), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(f(_x121, _x102), _x82), _x62), _x42), _x22), X2)activate#(n__f(X1, X2)) → activate#(X1)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x141, _x142), _x122), _x102), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(f(f(f(activate(_x141), _x142), _x122), _x102), _x82), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__g(n__f(n__f(_x71, _x72), _x62)), _x22), X2)) → f#(f(n__g(f(f(activate(_x71), _x72), _x62)), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x101, _x102)))), _x42), _x22), X2)) → f#(f(f(g(n__g(g(f(activate(_x101), _x102)))), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x62), _x32), _x32), X2)) → f#(n__f(n__f(f(f(activate(_x81), _x82), _x62), _x32), _x32), X2)
activate#(n__f(n__g(_x21), X2)) → f#(g(activate(_x21)), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(n__g(_x111), _x102)))), _x42), _x22), X2)) → f#(f(f(g(g(g(f(g(activate(_x111)), _x102)))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x111, _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(_x111, _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__g(_x101), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(g(n__g(f(f(g(activate(_x101)), _x82), _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(_x91)), _x42), _x22), X2)) → f#(f(f(g(g(_x91)), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(n__f(_x111, _x112), _x102)))), _x42), _x22), X2)) → f#(f(f(g(g(g(f(f(activate(_x111), _x112), _x102)))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(_x81)), _x52), _x22), X2)) → f#(f(n__f(g(n__g(activate(_x81))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__f(_x81, _x82)), _x42), _x22), X2)) → f#(f(f(g(f(activate(_x81), _x82)), _x42), _x22), X2)
activate#(n__g(X)) → activate#(X)activate#(n__f(n__f(n__f(n__f(n__f(n__f(g(_x82), _x81), _x82), _x72), _x42), _x22), X2)) → f#(f(f(n__f(f(f(_x82, n__f(n__g(_x82), activate(_x81))), _x82), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__g(n__f(n__f(n__g(_x91), _x82), _x52)), _x22), X2)) → f#(f(n__g(n__f(f(g(activate(_x91)), _x82), _x52)), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x71, _x72), _x52), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(activate(_x71), _x72), _x52), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__g(n__f(n__f(n__f(_x91, _x92), _x82), _x52)), _x22), X2)) → f#(f(n__g(n__f(f(f(activate(_x91), _x92), _x82), _x52)), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x122), _x102), _x82), _x62), _x52), _x22), X2)) → f#(f(n__f(f(f(f(f(activate(_x121), _x122), _x102), _x82), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__g(_x32), _x31), X2)) → f#(f(_x32, n__f(n__g(_x32), activate(_x31))), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(g(_x82), _x81))), _x42), _x22), X2)) → f#(f(f(g(n__g(f(_x82, n__f(n__g(_x82), activate(_x81))))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x101, _x92))), _x52), _x22), X2)) → f#(f(n__f(g(n__g(f(_x101, _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__g(n__f(n__f(_x51, _x52), _x52)), _x32), X2)) → f#(n__f(n__g(n__f(f(activate(_x51), _x52), _x52)), _x32), X2)
activate#(n__f(n__f(n__g(n__f(n__g(_x71), _x62)), _x22), X2)) → f#(f(n__g(f(g(activate(_x71)), _x62)), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__f(_x71, _x72)), _x52), _x22), X2)) → f#(f(n__f(g(f(activate(_x71), _x72)), _x52), _x22), X2)
activate#(n__f(n__f(n__g(_x61), _x22), X2)) → f#(f(n__g(_x61), _x22), X2)activate#(n__f(n__f(n__g(n__g(_x61)), _x32), X2)) → f#(n__f(g(g(activate(_x61))), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x91))), _x42), _x22), X2)) → f#(f(f(g(n__g(g(activate(_x91)))), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x91, _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(f(activate(_x91), _x92))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x111, _x92), _x102), _x82), _x72), _x42), _x22), X2)) → f#(f(f(n__f(f(f(f(_x111, _x92), _x102), _x82), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(_x51), _x42), _x32), X2)) → f#(n__f(f(g(activate(_x51)), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x102), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(activate(_x101), _x102), _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x92), _x102), _x82), _x72), _x52), _x22), X2)) → f#(f(n__f(n__f(f(f(f(activate(_x91), _x92), _x102), _x82), _x72), _x52), _x22), X2)
activate#(n__f(n__f(n__f(g(_x32), _x31), _x32), X2)) → f#(n__f(f(_x32, n__f(n__g(_x32), activate(_x31))), _x32), X2)activate#(n__f(n__f(n__f(n__g(_x61), _x51), _x22), X2)) → f#(f(f(activate(_x61), n__f(n__g(activate(_x61)), activate(_x51))), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x71, _x72), _x82), _x62), _x52), _x22), X2)) → f#(f(n__f(f(f(f(activate(_x71), _x72), _x82), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__g(n__g(n__f(_x71, _x72))), _x22), X2)) → f#(f(g(g(f(activate(_x71), _x72))), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(_x111, _x112)), _x92))), _x42), _x22), X2)) → f#(f(f(g(n__g(f(g(f(activate(_x111), _x112)), _x92))), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(_x101, _x102), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(g(n__g(f(f(f(activate(_x101), _x102), _x82), _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x111), _x92), _x102), _x82), _x72), _x42), _x22), X2)) → f#(f(f(n__f(f(f(f(g(activate(_x111)), _x92), _x102), _x82), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x101), _x92))), _x52), _x22), X2)) → f#(f(n__f(g(n__g(f(g(activate(_x101)), _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(_x81)), _x42), _x22), X2)) → f#(f(f(n__g(n__g(activate(_x81))), _x42), _x22), X2)activate#(n__f(n__f(n__f(_x31, _x32), _x32), X2)) → f#(n__f(n__f(_x31, _x32), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(_x91)), _x42), _x22), X2)) → f#(f(f(g(n__g(_x91)), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(_x81, _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(f(activate(_x81), _x82), _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x92), _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(f(activate(_x91), _x92), _x92), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x111), _x82))), _x42), _x22), X2)) → f#(f(f(g(n__g(n__f(g(_x111), _x82))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x91, _x82))), _x42), _x22), X2)) → f#(f(f(g(n__g(n__f(activate(_x91), _x82))), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x91))), _x42), _x22), X2)) → f#(f(f(g(g(n__g(activate(_x91)))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x92), _x72), _x52), _x22), X2)) → f#(f(n__f(n__f(n__f(activate(_x81), _x92), _x72), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x101, _x92))), _x42), _x22), X2)) → f#(f(f(n__g(n__g(f(_x101, _x92))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x91, _x92))), _x42), _x22), X2)) → f#(f(f(g(g(f(activate(_x91), _x92))), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__g(_x81), _x62), _x42), _x22), X2)) → f#(f(f(f(g(activate(_x81)), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__g(n__f(n__f(_x81, _x82), _x52)), _x32), X2)) → f#(n__f(n__g(n__f(f(activate(_x81), _x82), _x52)), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x72), _x42), _x22), X2)) → f#(f(f(n__f(f(activate(_x81), _x82), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x101, _x102)))), _x42), _x32), X2)) → f#(n__f(f(g(g(g(f(activate(_x101), _x102)))), _x42), _x32), X2)activate#(n__f(n__f(n__g(n__f(n__f(_x91, _x82), _x52)), _x22), X2)) → f#(f(n__g(n__f(f(_x91, _x82), _x52)), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x121), _x102), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(f(g(activate(_x121)), _x102), _x82), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x101, _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(_x101, _x82), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x101, _x102)))), _x42), _x22), X2)) → f#(f(f(g(g(n__g(f(activate(_x101), _x102)))), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x101, _x92)))), _x42), _x22), X2)) → f#(f(f(g(g(g(n__f(activate(_x101), _x92)))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x122), _x112), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(n__f(f(activate(_x121), _x122), _x112), _x82), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(_x51, _x52), _x42), _x32), X2)) → f#(n__f(f(f(activate(_x51), _x52), _x42), _x32), X2)
activate#(n__f(n__f(n__g(n__g(_x61)), _x22), X2)) → f#(f(n__g(g(activate(_x61))), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x101, _x102)))), _x42), _x22), X2)) → f#(f(f(n__g(g(g(f(activate(_x101), _x102)))), _x42), _x22), X2)
activate#(n__f(n__f(n__g(n__g(_x51)), _x32), X2)) → f#(n__f(n__g(g(activate(_x51))), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x102), _x82), _x72), _x52), _x22), X2)) → f#(f(n__f(n__f(f(f(_x91, _x102), _x82), _x72), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x111, _x112), _x92), _x102), _x82), _x72), _x42), _x22), X2)) → f#(f(f(n__f(f(f(f(f(activate(_x111), _x112), _x92), _x102), _x82), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x122), _x102), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(f(activate(_x121), _x122), _x102), _x92), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__g(n__f(_x81, _x52)), _x22), X2)) → f#(f(n__g(n__f(_x81, _x52)), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x102), _x72), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(f(_x91, _x102), _x72), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x111), _x92))), _x42), _x22), X2)) → f#(f(f(n__g(n__g(f(g(_x111), _x92))), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(_x81, _x82), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(g(n__g(f(f(activate(_x81), _x82), _x92))), _x52), _x32), X2)
activate#(n__f(n__f(n__g(n__f(_x61, _x62)), _x22), X2)) → f#(f(g(f(activate(_x61), _x62)), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(_x101, _x102), _x92))), _x42), _x22), X2)) → f#(f(f(g(n__g(f(f(activate(_x101), _x102), _x92))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(_x51, _x42), _x32), X2)) → f#(n__f(f(_x51, _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x92), _x82), _x82), _x72), _x42), _x22), X2)) → f#(f(f(n__f(f(n__f(f(activate(_x91), _x92), _x82), _x82), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x122), _x102), _x82), _x72), _x42), _x22), X2)) → f#(f(f(n__f(f(f(f(activate(_x121), _x122), _x102), _x82), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x71), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(g(n__g(f(g(activate(_x71)), _x92))), _x52), _x32), X2)
activate#(n__f(n__f(n__g(n__g(n__g(_x71))), _x22), X2)) → f#(f(g(g(g(activate(_x71)))), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(_x81)), _x51), _x22), X2)) → f#(f(f(n__g(activate(_x81)), n__f(n__g(n__g(activate(_x81))), activate(_x51))), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(_x81)), _x51), _x22), X2)) → f#(f(f(g(activate(_x81)), n__f(n__g(g(activate(_x81))), activate(_x51))), _x22), X2)f#(g(X), Y) → activate#(Y)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(_x71, _x72), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(g(n__g(f(f(activate(_x71), _x72), _x92))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x71), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(g(activate(_x71)), _x92), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__g(_x111)), _x92))), _x42), _x22), X2)) → f#(f(f(g(n__g(f(g(g(activate(_x111))), _x92))), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x111), _x92))), _x52), _x22), X2)) → f#(f(n__f(g(n__g(f(g(_x111), _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x91, _x62))), _x52), _x32), X2)) → f#(n__f(n__f(g(n__g(n__f(activate(_x91), _x62))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x82), _x82), _x72), _x42), _x22), X2)) → f#(f(f(n__f(f(n__f(activate(_x101), _x82), _x82), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(_x81), _x42), _x22), X2)) → f#(f(f(g(_x81), _x42), _x22), X2)activate#(n__f(n__f(n__g(n__f(n__g(_x51), _x52)), _x32), X2)) → f#(n__f(n__g(n__f(g(activate(_x51)), _x52)), _x32), X2)
activate#(n__f(n__f(n__f(n__g(_x71), _x52), _x22), X2)) → f#(f(n__f(g(_x71), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x91, _x72))), _x52), _x22), X2)) → f#(f(n__f(g(n__g(n__f(activate(_x91), _x72))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x102), _x102), _x82), _x72), _x42), _x22), X2)) → f#(f(f(n__f(f(f(n__f(activate(_x91), _x102), _x102), _x82), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(f(activate(_x81), _x82), _x62), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(_x81)), _x42), _x32), X2)) → f#(n__f(f(g(n__g(activate(_x81))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(_x81, _x62), _x42), _x22), X2)) → f#(f(f(f(_x81, _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(_x61), _x42), _x22), X2)) → f#(f(f(n__g(activate(_x61)), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x101), _x92))), _x42), _x22), X2)) → f#(f(f(n__g(n__g(f(g(activate(_x101)), _x92))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x101), _x92))), _x42), _x22), X2)) → f#(f(f(g(n__g(f(n__g(activate(_x101)), _x92))), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x92), _x52), _x52), _x22), X2)) → f#(f(n__f(n__f(n__f(activate(_x81), _x92), _x52), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x52), _x42), _x42), _x32), X2)) → f#(n__f(f(n__f(n__f(activate(_x81), _x52), _x42), _x42), _x32), X2)

Rewrite Rules

f(g(X), Y) → f(X, n__f(n__g(X), activate(Y)))f(X1, X2) → n__f(X1, X2)
g(X) → n__g(X)activate(n__f(X1, X2)) → f(activate(X1), X2)
activate(n__g(X)) → g(activate(X))activate(X) → X

Original Signature

Termination of terms over the following signature is verified: activate, f, g, n__f, n__g

Strategy

The right-hand side of the rule activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x101), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(g(activate(_x101)), _x92))), _x42), _x32), X2) 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
f#(n__f(f(g(n__g(f(g(g(activate(_x81))), _x92))), _x42), _x32), X2) 
f#(n__f(f(g(n__g(f(activate(_x101), n__f(n__g(activate(_x101)), activate(_x61))))), _x42), _x32), X2) 
f#(n__f(f(n__g(n__g(f(g(activate(_x101)), _x92))), _x42), _x32), X2) 
f#(n__f(f(g(n__g(f(n__g(activate(_x101)), _x92))), _x42), _x32), X2) 
f#(n__f(n__f(g(n__g(f(g(activate(_x101)), _x92))), _x32), _x32), X2) 
f#(n__f(f(n__g(f(g(activate(_x101)), _x92)), n__f(n__g(n__g(f(g(activate(_x101)), _x92))), activate(_x31))), _x32), X2) 
f#(n__f(f(g(n__g(f(g(f(activate(_x81), _x82)), _x92))), _x42), _x32), X2) 
f#(n__f(f(g(n__g(n__f(g(activate(_x101)), _x62))), _x42), _x32), X2) 
f#(n__f(f(g(n__g(f(g(_x81), _x92))), _x42), _x32), X2) 
Thus, the rule activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x101), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(g(activate(_x101)), _x92))), _x42), _x32), X2) is replaced by the following rules:
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x81), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(g(_x81), _x92))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x101), _x92))), _x42), _x32), X2)) → f#(n__f(f(n__g(n__g(f(g(activate(_x101)), _x92))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(_x81, _x82)), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(g(f(activate(_x81), _x82)), _x92))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x101), _x92))), _x31), n__g(f(g(activate(_x101)), _x92))), X2)) → f#(n__f(f(n__g(f(g(activate(_x101)), _x92)), n__f(n__g(n__g(f(g(activate(_x101)), _x92))), activate(_x31))), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x101), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(n__g(activate(_x101)), _x92))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__g(_x81)), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(g(g(activate(_x81))), _x92))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x101), _x92))), _x32), _x32), X2)) → f#(n__f(n__f(g(n__g(f(g(activate(_x101)), _x92))), _x32), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x101), _x62))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(n__f(g(activate(_x101)), _x62))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x101), _x61))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(activate(_x101), n__f(n__g(activate(_x101)), activate(_x61))))), _x42), _x32), X2)

Problem 23: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

activate#(n__f(n__f(n__f(n__g(_x61), _x32), _x32), X2)) → f#(n__f(n__f(g(activate(_x61)), _x32), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x132), _x102), _x82), _x52), _x52), _x22), X2)) → f#(f(n__f(n__f(f(f(n__f(_x91, _x132), _x102), _x82), _x52), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x81, _x82)), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(g(f(activate(_x81), _x82)), _x82), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x81, _x82)), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(n__g(f(activate(_x81), _x82)), _x82), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x132), _x102), _x82), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(f(f(n__f(f(activate(_x81), _x82), _x132), _x102), _x82), _x62), _x52), _x32), X2)activate#(n__f(n__f(n__g(_x41), _x31), X2)) → f#(f(activate(_x41), n__f(n__g(activate(_x41)), activate(_x31))), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x52), _x62), _x32), _x32), X2)) → f#(n__f(n__f(f(n__f(activate(_x81), _x52), _x62), _x32), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x81), _x132), _x102), _x82), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(f(f(n__f(g(activate(_x81)), _x132), _x102), _x82), _x62), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x62), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(activate(_x81), _x62), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x102), _x82), _x42), _x52), _x32), X2)) → f#(n__f(n__f(n__f(f(f(n__f(activate(_x121), _x132), _x102), _x82), _x42), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x111), _x92))), _x51), _x22), X2)) → f#(f(f(n__g(f(g(_x111), _x92)), n__f(n__g(n__g(f(g(_x111), _x92))), activate(_x51))), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(_x81)), _x42), _x22), X2)) → f#(f(f(n__g(g(activate(_x81))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x102), _x82), _x72), _x32), _x32), X2)) → f#(n__f(n__f(n__f(f(f(activate(_x101), _x102), _x82), _x72), _x32), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x112), _x92), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(g(activate(_x101)), _x112), _x92), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(_x61), _x31), activate(_x61)), X2)) → f#(n__f(f(activate(_x61), n__f(n__g(activate(_x61)), activate(_x31))), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x102), _x82), _x42), _x42), _x32), X2)) → f#(n__f(f(n__f(f(f(n__f(activate(_x121), _x132), _x102), _x82), _x42), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x102), _x72), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(f(activate(_x101), _x102), _x72), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x81), _x92))), _x31), n__g(f(g(_x81), _x92))), X2)) → f#(n__f(f(n__g(f(g(_x81), _x92)), n__f(n__g(n__g(f(g(_x81), _x92))), activate(_x31))), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x102), _x52), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(n__f(activate(_x121), _x132), _x102), _x52), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__g(n__g(_x61)), _x22), X2)) → f#(f(g(n__g(activate(_x61))), _x22), X2)
activate#(n__f(n__f(n__f(n__g(_x61), _x52), _x32), X2)) → f#(n__f(n__f(n__g(activate(_x61)), _x52), _x32), X2)activate#(n__f(n__f(n__g(n__f(_x71, _x62)), _x32), X2)) → f#(n__f(n__g(f(_x71, _x62)), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x91), _x92))), _x42), _x22), X2)) → f#(f(f(g(n__g(f(n__g(_x91), _x92))), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x102), _x82), _x62), _x52), _x22), X2)) → f#(f(n__f(f(f(f(activate(_x101), _x102), _x82), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(_x81, _x82), _x72))), _x52), _x22), X2)) → f#(f(n__f(g(n__g(n__f(f(activate(_x81), _x82), _x72))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x111), _x132), _x102), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(n__f(g(activate(_x111)), _x132), _x102), _x92), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x102), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(f(activate(_x101), _x102), _x82), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x102), _x62), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(n__f(activate(_x121), _x132), _x102), _x62), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x132), _x72), _x82), _x62), _x52), _x22), X2)) → f#(f(n__f(f(f(n__f(n__f(_x91, _x132), _x72), _x82), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x91), _x72), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(g(activate(_x91)), _x72), _x92), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x61), _x82), _x62), _x32), _x32), X2)) → f#(n__f(n__f(f(f(g(activate(_x61)), _x82), _x62), _x32), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x91), _x62), _x42), _x22), X2)) → f#(f(f(f(f(activate(_x101), n__f(n__g(activate(_x101)), activate(_x91))), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x102), _x52), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(n__f(f(n__f(activate(_x121), _x132), _x102), _x52), _x62), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x92), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(n__f(n__f(activate(_x121), _x132), _x92), _x92), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(n__g(_x111))), _x62), _x82), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(f(n__f(g(g(g(activate(_x111)))), _x62), _x82), _x72), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(_x61, _x62), _x42), _x32), X2)) → f#(n__f(f(f(activate(_x61), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(_x71), _x52), _x22), X2)) → f#(f(n__f(n__g(_x71), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x111, _x132), _x102), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(n__f(_x111, _x132), _x102), _x92), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x71, _x92), _x52), _x52), _x22), X2)) → f#(f(n__f(n__f(n__f(_x71, _x92), _x52), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x92), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(n__f(g(activate(_x101)), _x92), _x92), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x121), _x112), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(g(_x121), _x112), _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x81), _x92))), _x32), _x32), X2)) → f#(n__f(n__f(g(n__g(f(g(_x81), _x92))), _x32), _x32), X2)
f#(g(X), Y) → f#(X, n__f(n__g(X), activate(Y)))activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x81))), _x42), _x22), X2)) → f#(f(f(g(g(n__g(_x81))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x81, _x92))), _x52), _x32), X2)) → f#(n__f(n__f(g(n__g(f(_x81, _x92))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x71, _x72), _x62), _x52), _x22), X2)) → f#(f(n__f(f(f(activate(_x71), _x72), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(_x81, _x82)), _x92))), _x32), _x32), X2)) → f#(n__f(n__f(g(n__g(f(g(f(activate(_x81), _x82)), _x92))), _x32), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x72), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(_x91, _x72), _x92), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x82), _x81))), _x42), _x22), X2)) → f#(f(f(g(n__g(f(_x82, n__f(n__g(_x82), activate(_x81))))), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(_x61, _x52), _x52), _x22), X2)) → f#(f(n__f(n__f(activate(_x61), _x52), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(n__f(_x131, _x132), _x122)), _x112), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(n__g(f(f(activate(_x131), _x132), _x122)), _x112), _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(n__g(activate(_x101)), _x82), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x81), _x62), _x82), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(f(n__f(n__g(activate(_x81)), _x62), _x82), _x72), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x111), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(g(activate(_x111)), _x92), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x101))), _x42), _x32), X2)) → f#(n__f(f(g(g(g(_x101))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x101), _x92))), _x42), _x32), X2)) → f#(n__f(f(n__g(n__g(f(g(activate(_x101)), _x92))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x61, _x62), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(f(activate(_x61), _x62), _x82), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x82), _x72), _x42), _x22), X2)) → f#(f(f(n__f(f(n__f(_x81, _x82), _x82), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x111, _x102)))), _x42), _x22), X2)) → f#(f(f(n__g(g(g(f(_x111, _x102)))), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x111, _x102)))), _x51), _x22), X2)) → f#(f(f(g(g(f(_x111, _x102))), n__f(n__g(g(g(f(_x111, _x102)))), activate(_x51))), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x71, _x92), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(n__f(_x71, _x92), _x62), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__f(_x81, _x72)), _x52), _x22), X2)) → f#(f(n__f(n__g(f(_x81, _x72)), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x132), _x102), _x82), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(f(f(n__f(_x91, _x132), _x102), _x82), _x62), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x91), _x102), _x82), _x72), _x42), _x22), X2)) → f#(f(f(n__f(f(f(g(activate(_x91)), _x102), _x82), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x121)), _x112), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(g(g(activate(_x121))), _x112), _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(_x101), _x82)), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(g(f(g(activate(_x101)), _x82)), _x92))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x71, _x72), _x102), _x82), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(f(f(f(activate(_x71), _x72), _x102), _x82), _x72), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(n__g(_x131), _x122)), _x112), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(n__g(f(g(activate(_x131)), _x122)), _x112), _x92), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x121, _x122)), _x112), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(n__g(f(activate(_x121), _x122)), _x112), _x92), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x101))), _x51), _x22), X2)) → f#(f(f(n__g(g(_x101)), n__f(n__g(n__g(g(_x101))), activate(_x51))), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x61, _x92), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(_x61, _x92), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x111, _x102)))), _x42), _x22), X2)) → f#(f(f(g(g(n__g(f(_x111, _x102)))), _x42), _x22), X2)
activate#(n__f(n__f(n__g(n__f(n__g(_x91), _x52)), _x22), X2)) → f#(f(n__g(n__f(g(_x91), _x52)), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(_x81, _x92), _x92))), _x52), _x22), X2)) → f#(f(n__f(g(n__g(f(n__f(activate(_x81), _x92), _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__g(_x81)), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(g(g(activate(_x81))), _x92))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x102), _x82), _x72), _x52), _x22), X2)) → f#(f(n__f(n__f(f(f(activate(_x101), _x102), _x82), _x72), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x111, _x112), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(activate(_x111), _x112), _x92), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x102), _x92), _x52), _x52), _x22), X2)) → f#(f(n__f(n__f(n__f(f(n__f(activate(_x121), _x132), _x102), _x92), _x52), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x101, _x102)))), _x52), _x22), X2)) → f#(f(n__f(g(g(g(f(activate(_x101), _x102)))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x112), _x92), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(n__g(activate(_x101)), _x112), _x92), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__g(_x71), _x62), _x52), _x22), X2)) → f#(f(n__f(f(g(activate(_x71)), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x112), _x92), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(n__f(f(n__g(activate(_x101)), _x112), _x92), _x62), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x102), _x82), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(n__f(f(activate(_x101), _x102), _x82), _x92), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__g(n__f(g(_x52), _x51)), _x22), X2)) → f#(f(n__g(f(_x52, n__f(n__g(_x52), activate(_x51)))), _x22), X2)
activate#(n__f(n__f(n__g(n__g(_x51)), _x32), X2)) → f#(n__f(g(g(activate(_x51))), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__f(_x71, _x62)), _x52), _x22), X2)) → f#(f(n__f(n__g(n__f(activate(_x71), _x62)), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x92), _x102), _x72), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(f(f(activate(_x91), _x92), _x102), _x72), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x91, _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(activate(_x91), _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x71, _x92))), _x52), _x32), X2)) → f#(n__f(n__f(g(n__g(f(_x71, _x92))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(g(activate(_x101)), _x92), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x72), _x82), _x62), _x52), _x22), X2)) → f#(f(n__f(f(f(n__f(n__f(activate(_x121), _x132), _x72), _x82), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(_x81, _x82)), _x92))), _x31), n__g(f(g(f(activate(_x81), _x82)), _x92))), X2)) → f#(n__f(f(n__g(f(g(f(activate(_x81), _x82)), _x92)), n__f(n__g(n__g(f(g(f(activate(_x81), _x82)), _x92))), activate(_x31))), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x101, _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(_x101, _x92))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x91))), _x52), _x22), X2)) → f#(f(n__f(g(g(g(activate(_x91)))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(_x71)), _x52), _x22), X2)) → f#(f(n__f(n__g(g(activate(_x71))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x71, _x72)))), _x42), _x32), X2)) → f#(n__f(f(g(g(g(n__f(_x71, _x72)))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x81), _x62), _x52), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(n__f(n__f(g(activate(_x81)), _x62), _x52), _x72), _x42), _x32), X2)activate#(n__f(n__f(n__g(n__f(n__g(n__f(_x91, _x82)), _x52)), _x22), X2)) → f#(f(n__g(n__f(g(n__f(activate(_x91), _x82)), _x52)), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x122), _x102), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(f(f(activate(_x121), _x122), _x102), _x82), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(_x81, _x82)), _x61))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(f(activate(_x81), _x82), n__f(n__g(f(activate(_x81), _x82)), activate(_x61))))), _x42), _x32), X2)
activate#(n__f(X1, X2)) → activate#(X1)activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x101, _x102)))), _x42), _x22), X2)) → f#(f(f(g(n__g(g(f(activate(_x101), _x102)))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x62), _x32), _x32), X2)) → f#(n__f(n__f(f(f(activate(_x81), _x82), _x62), _x32), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x121, _x122)), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(g(f(activate(_x121), _x122)), _x82), _x62), _x42), _x22), X2)
activate#(n__f(n__g(_x21), X2)) → f#(g(activate(_x21)), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x91, _x92)))), _x42), _x22), X2)) → f#(f(f(g(g(g(n__f(_x91, _x92)))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x91), activate(_x101)), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(activate(_x101), n__f(n__g(activate(_x101)), activate(_x91))), _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x121)), _x112), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(n__g(g(activate(_x121))), _x112), _x92), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__g(_x101), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(g(n__g(f(f(g(activate(_x101)), _x82), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(n__f(_x111, _x112), _x102)))), _x42), _x22), X2)) → f#(f(f(g(g(g(f(f(activate(_x111), _x112), _x102)))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__f(_x81, _x82)), _x42), _x22), X2)) → f#(f(f(g(f(activate(_x81), _x82)), _x42), _x22), X2)activate#(n__g(X)) → activate#(X)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(_x101, _x82)), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(g(f(_x101, _x82)), _x92))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x81)), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(n__g(g(activate(_x81))), _x82), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__g(_x51), _x32), X2)) → f#(n__f(g(_x51), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x112), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(g(activate(_x101)), _x112), _x92), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x101))), _x52), _x22), X2)) → f#(f(n__f(g(n__g(g(_x101))), _x52), _x22), X2)activate#(n__f(n__f(n__g(n__f(n__f(n__g(_x91), _x82), _x52)), _x22), X2)) → f#(f(n__g(n__f(f(g(activate(_x91)), _x82), _x52)), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x71, _x72), _x52), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(activate(_x71), _x72), _x52), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x92), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(n__f(n__g(activate(_x101)), _x92), _x92), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x122), _x102), _x82), _x62), _x52), _x22), X2)) → f#(f(n__f(f(f(f(f(activate(_x121), _x122), _x102), _x82), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__g(_x32), _x31), X2)) → f#(f(_x32, n__f(n__g(_x32), activate(_x31))), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x132), _x102), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(n__f(_x91, _x132), _x102), _x92), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x62), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(n__f(n__f(activate(_x121), _x132), _x62), _x82), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(g(_x101), _x92), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x101, _x92))), _x52), _x22), X2)) → f#(f(n__f(g(n__g(f(_x101, _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x82), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(n__f(g(activate(_x101)), _x82), _x92), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__g(n__f(n__g(_x71), _x62)), _x22), X2)) → f#(f(n__g(f(g(activate(_x71)), _x62)), _x22), X2)
activate#(n__f(n__f(n__g(_x61), _x22), X2)) → f#(f(n__g(_x61), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x81))), _x51), _x22), X2)) → f#(f(f(n__g(n__g(_x81)), n__f(n__g(n__g(n__g(_x81))), activate(_x51))), _x22), X2)
activate#(n__f(n__f(n__g(n__g(_x61)), _x32), X2)) → f#(n__f(g(g(activate(_x61))), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x91, _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(f(activate(_x91), _x92))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(_x81, _x82)), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(n__g(f(activate(_x81), _x82)), _x92))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x72), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(n__f(n__f(activate(_x121), _x132), _x72), _x92), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x111, _x92), _x102), _x82), _x72), _x42), _x22), X2)) → f#(f(f(n__f(f(f(f(_x111, _x92), _x102), _x82), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(_x51)), _x42), _x32), X2)) → f#(n__f(f(g(g(activate(_x51))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(g(_x32), _x31), _x32), X2)) → f#(n__f(f(_x32, n__f(n__g(_x32), activate(_x31))), _x32), X2)activate#(n__f(n__f(n__f(n__g(_x61), _x51), _x22), X2)) → f#(f(f(activate(_x61), n__f(n__g(activate(_x61)), activate(_x51))), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x71, _x72), _x82), _x62), _x52), _x22), X2)) → f#(f(n__f(f(f(f(activate(_x71), _x72), _x82), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x101), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(n__g(activate(_x101)), _x92))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__f(n__f(_x81, _x82), _x72)), _x52), _x22), X2)) → f#(f(n__f(n__g(f(f(activate(_x81), _x82), _x72)), _x52), _x22), X2)activate#(n__f(n__f(n__g(n__f(n__f(n__g(_x101), _x72), _x52)), _x22), X2)) → f#(f(n__g(n__f(n__f(g(activate(_x101)), _x72), _x52)), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(_x81, _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(f(activate(_x81), _x82), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(g(_x72), _x71)))), _x42), _x32), X2)) → f#(n__f(f(g(g(g(f(_x72, n__f(n__g(_x72), activate(_x71)))))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x81, _x132), _x102), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(f(n__f(_x81, _x132), _x102), _x82), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x101, _x92))), _x42), _x22), X2)) → f#(f(f(n__g(n__g(f(_x101, _x92))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x81), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(n__g(_x81), _x82), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x92), _x72), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(f(activate(_x91), _x92), _x72), _x92), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x92), _x62), _x32), _x32), X2)) → f#(n__f(n__f(f(n__f(activate(_x81), _x92), _x62), _x32), _x32), X2)activate#(n__f(n__f(n__g(n__f(n__g(_x81), _x52)), _x32), X2)) → f#(n__f(n__g(n__f(g(activate(_x81)), _x52)), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__g(_x81), _x62), _x42), _x22), X2)) → f#(f(f(f(g(activate(_x81)), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x72), _x42), _x22), X2)) → f#(f(f(n__f(f(activate(_x81), _x82), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__g(n__f(n__f(_x91, _x82), _x52)), _x22), X2)) → f#(f(n__g(n__f(f(_x91, _x82), _x52)), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x112), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(_x101, _x112), _x92), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x102), _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(f(n__f(activate(_x121), _x132), _x102), _x92), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x81), _x82), _x92), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(n__f(n__f(g(activate(_x81)), _x82), _x92), _x62), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__f(_x101, _x102), _x82)), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(g(f(f(activate(_x101), _x102), _x82)), _x92))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x102), _x82), _x92), _x42), _x52), _x32), X2)) → f#(n__f(n__f(n__f(n__f(n__f(f(activate(_x101), _x102), _x82), _x92), _x42), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x101, _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(_x101, _x82), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x71, _x72), _x92), _x52), _x52), _x22), X2)) → f#(f(n__f(n__f(n__f(f(activate(_x71), _x72), _x92), _x52), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x82), _x72), _x42), _x22), X2)) → f#(f(f(n__f(f(g(activate(_x101)), _x82), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x101, _x92)))), _x42), _x22), X2)) → f#(f(f(g(g(g(n__f(activate(_x101), _x92)))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(_x51, _x52), _x42), _x32), X2)) → f#(n__f(f(f(activate(_x51), _x52), _x42), _x32), X2)activate#(n__f(n__f(n__g(n__g(_x61)), _x22), X2)) → f#(f(n__g(g(activate(_x61))), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x101, _x102)))), _x42), _x22), X2)) → f#(f(f(n__g(g(g(f(activate(_x101), _x102)))), _x42), _x22), X2)activate#(n__f(n__f(n__g(n__f(n__g(n__g(n__f(_x101, _x102))), _x52)), _x22), X2)) → f#(f(n__g(n__f(g(g(f(activate(_x101), _x102))), _x52)), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x101))), _x42), _x22), X2)) → f#(f(f(n__g(n__g(g(_x101))), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x102), _x82), _x72), _x52), _x22), X2)) → f#(f(n__f(n__f(f(f(_x91, _x102), _x82), _x72), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x111, _x102)))), _x52), _x22), X2)) → f#(f(n__f(g(g(g(f(_x111, _x102)))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x122), _x102), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(f(activate(_x121), _x122), _x102), _x92), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__g(n__f(n__f(_x61, _x62), _x42)), _x32), X2)) → f#(n__f(n__g(n__f(f(activate(_x61), _x62), _x42)), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x92), _x132), _x102), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(n__f(f(activate(_x91), _x92), _x132), _x102), _x92), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x102), _x72), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(f(_x91, _x102), _x72), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__g(n__f(_x81, _x52)), _x22), X2)) → f#(f(n__g(n__f(_x81, _x52)), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(_x81, _x82), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(g(n__g(f(f(activate(_x81), _x82), _x92))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x132), _x102), _x62), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(n__f(_x91, _x132), _x102), _x62), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(g(_x72), _x71))), _x52), _x22), X2)) → f#(f(n__f(g(n__g(f(_x72, n__f(n__g(_x72), activate(_x71))))), _x52), _x22), X2)activate#(n__f(n__f(n__g(n__f(_x51, _x52)), _x32), X2)) → f#(n__f(g(f(activate(_x51), _x52)), _x32), X2)
activate#(n__f(n__f(n__g(n__f(n__g(n__f(n__g(_x101), _x92)), _x52)), _x22), X2)) → f#(f(n__g(n__f(g(f(g(activate(_x101)), _x92)), _x52)), _x22), X2)activate#(n__f(n__f(n__f(_x51, _x42), _x32), X2)) → f#(n__f(f(_x51, _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x101))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(g(_x101))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x92), _x82), _x82), _x72), _x42), _x22), X2)) → f#(f(f(n__f(f(n__f(f(activate(_x91), _x92), _x82), _x82), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x122), _x102), _x82), _x72), _x42), _x22), X2)) → f#(f(f(n__f(f(f(f(activate(_x121), _x122), _x102), _x82), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x81, _x132), _x102), _x82), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(f(f(n__f(_x81, _x132), _x102), _x82), _x62), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(_x81)), _x51), _x22), X2)) → f#(f(f(n__g(activate(_x81)), n__f(n__g(n__g(activate(_x81))), activate(_x51))), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x71), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(g(n__g(f(g(activate(_x71)), _x92))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(_x81)), _x51), _x22), X2)) → f#(f(f(g(activate(_x81)), n__f(n__g(g(activate(_x81))), activate(_x51))), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x81), _x62))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(n__f(g(_x81), _x62))), _x42), _x32), X2)
f#(g(X), Y) → activate#(Y)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x82), _x82), _x72), _x42), _x22), X2)) → f#(f(f(n__f(f(n__f(activate(_x101), _x82), _x82), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x91, _x62))), _x52), _x32), X2)) → f#(n__f(n__f(g(n__g(n__f(activate(_x91), _x62))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x91), _x92), _x72), _x52), _x22), X2)) → f#(f(n__f(n__f(n__f(g(activate(_x91)), _x92), _x72), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x111)), _x112), _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(f(n__g(g(activate(_x111))), _x112), _x92), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x61), _x92), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(g(activate(_x61)), _x92), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(_x61, _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(activate(_x61), _x62), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(g(activate(_x101)), _x82), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x121), _x112), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(n__g(_x121), _x112), _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x81, _x62), _x82), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(f(n__f(_x81, _x62), _x82), _x72), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x61), _x82), _x62), _x32), _x32), X2)) → f#(n__f(n__f(f(f(n__g(activate(_x61)), _x82), _x62), _x32), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x81), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(g(_x81), _x82), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(f(activate(_x81), _x82), _x62), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x102), _x102), _x82), _x72), _x42), _x22), X2)) → f#(f(f(n__f(f(f(n__f(activate(_x91), _x102), _x102), _x82), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__g(n__f(n__f(n__f(_x101, _x102), _x72), _x52)), _x22), X2)) → f#(f(n__g(n__f(n__f(f(activate(_x101), _x102), _x72), _x52)), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x101), _x92))), _x42), _x22), X2)) → f#(f(f(n__g(n__g(f(g(activate(_x101)), _x92))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x82), _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(n__f(n__g(activate(_x101)), _x82), _x92), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x102), _x82), _x62), _x32), _x32), X2)) → f#(n__f(n__f(f(f(f(n__f(activate(_x121), _x132), _x102), _x82), _x62), _x32), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x101), _x92))), _x42), _x22), X2)) → f#(f(f(g(n__g(f(n__g(activate(_x101)), _x92))), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x121), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(g(_x121), _x82), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__g(n__f(n__g(n__g(_x91)), _x52)), _x22), X2)) → f#(f(n__g(n__f(n__g(g(activate(_x91))), _x52)), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x112), _x92), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(n__f(f(n__g(activate(_x101)), _x112), _x92), _x72), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x92), _x52), _x52), _x22), X2)) → f#(f(n__f(n__f(n__f(activate(_x81), _x92), _x52), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x102), _x82), _x72), _x42), _x22), X2)) → f#(f(f(n__f(f(f(n__f(activate(_x121), _x132), _x102), _x82), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__g(n__f(n__f(_x81, _x72), _x52)), _x32), X2)) → f#(n__f(n__g(n__f(n__f(activate(_x81), _x72), _x52)), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x121, _x122)), _x112), _x92), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(n__g(f(activate(_x121), _x122)), _x112), _x92), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x101, _x92))), _x51), _x22), X2)) → f#(f(f(n__g(f(_x101, _x92)), n__f(n__g(n__g(f(_x101, _x92))), activate(_x51))), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x121, _x122)), _x112), _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(f(n__g(f(activate(_x121), _x122)), _x112), _x92), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__g(_x31), _x32), X2)) → f#(n__f(n__g(_x31), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x101, _x102)))), _x51), _x22), X2)) → f#(f(f(g(g(f(activate(_x101), _x102))), n__f(n__g(g(g(f(activate(_x101), _x102)))), activate(_x51))), _x22), X2)
activate#(n__f(n__f(n__f(_x41, _x32), _x32), X2)) → f#(n__f(n__f(activate(_x41), _x32), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x101)), _x62), _x82), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(f(n__f(n__g(g(activate(_x101))), _x62), _x82), _x72), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x132), _x102), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(f(n__f(f(activate(_x81), _x82), _x132), _x102), _x82), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__g(n__f(n__f(_x71, _x62), _x52)), _x32), X2)) → f#(n__f(n__g(f(f(_x71, _x62), _x52)), _x32), X2)
activate#(n__f(n__f(n__g(n__f(_x51, _x52)), _x32), X2)) → f#(n__f(n__g(n__f(_x51, _x52)), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x61), _x82), _x42), _x42), _x32), X2)) → f#(n__f(f(n__f(f(g(activate(_x61)), _x82), _x42), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x71, _x52), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(_x71, _x52), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x62), _x61))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(_x62, n__f(n__g(_x62), activate(_x61))))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x102), _x112), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(f(activate(_x101), _x102), _x112), _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x72), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(n__f(n__g(activate(_x101)), _x72), _x92), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x71), _x82), _x62), _x52), _x22), X2)) → f#(f(n__f(f(f(g(activate(_x71)), _x82), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(_x61), _x52), _x32), X2)) → f#(n__f(n__f(g(activate(_x61)), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x91), _x112), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(n__g(_x91), _x112), _x92), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x151, _x152), _x132), _x102), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(f(n__f(f(activate(_x151), _x152), _x132), _x102), _x82), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x101, _x102)), _x62), _x82), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(f(n__f(g(f(activate(_x101), _x102)), _x62), _x82), _x72), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x81), _x92))), _x42), _x32), X2)) → f#(n__f(f(n__g(n__g(f(g(_x81), _x92))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x151, _x132), _x102), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(f(n__f(_x151, _x132), _x102), _x82), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__g(n__f(n__g(_x81), _x52)), _x22), X2)) → f#(f(n__g(n__f(n__g(activate(_x81)), _x52)), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x121)), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(g(g(activate(_x121))), _x82), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(n__f(_x111, _x112))), _x62), _x82), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(f(n__f(g(g(f(activate(_x111), _x112))), _x62), _x82), _x72), _x42), _x32), X2)
activate#(n__f(n__f(n__g(n__f(n__g(n__f(_x91, _x92)), _x52)), _x22), X2)) → f#(f(n__g(n__f(n__g(f(activate(_x91), _x92)), _x52)), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x91, _x92))), _x42), _x22), X2)) → f#(f(f(n__g(n__g(f(activate(_x91), _x92))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(_x41, _x52), _x22), X2)) → f#(f(n__f(activate(_x41), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(_x61, _x72), _x42), _x22), X2)) → f#(f(f(n__f(activate(_x61), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x61, _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(_x61, _x82), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x101))), _x52), _x22), X2)) → f#(f(n__f(g(g(g(_x101))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x92), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(n__f(activate(_x81), _x92), _x72), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x101, _x102)), _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(g(f(activate(_x101), _x102)), _x92), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x101)), _x62), _x52), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(n__f(n__f(g(g(activate(_x101))), _x62), _x52), _x72), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x81), _x62), _x82), _x72), _x32), _x32), X2)) → f#(n__f(n__f(n__f(f(n__f(g(activate(_x81)), _x62), _x82), _x72), _x32), _x32), X2)
activate#(n__f(n__f(n__f(n__f(_x71, _x62), _x52), _x22), X2)) → f#(f(n__f(f(_x71, _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x92), _x42), _x52), _x32), X2)) → f#(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x92), _x42), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x102), _x52), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(n__f(f(activate(_x101), _x102), _x52), _x72), _x42), _x32), X2)activate#(n__f(n__f(n__f(g(_x52), _x51), _x22), X2)) → f#(f(f(_x52, n__f(n__g(_x52), activate(_x51))), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x62), _x92), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(n__f(n__f(activate(_x121), _x132), _x62), _x92), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__g(_x41), _x32), X2)) → f#(n__f(n__g(activate(_x41)), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x81), _x92))), _x52), _x22), X2)) → f#(f(n__f(g(n__g(f(g(activate(_x81)), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x91))), _x42), _x32), X2)) → f#(n__f(f(g(g(g(activate(_x91)))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x81, _x82))), _x42), _x22), X2)) → f#(f(f(g(n__g(n__f(_x81, _x82))), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x91), _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(n__g(activate(_x91)), _x92), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x91, _x92))), _x51), _x22), X2)) → f#(f(f(n__g(f(activate(_x91), _x92)), n__f(n__g(n__g(f(activate(_x91), _x92))), activate(_x51))), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x91), _x132), _x102), _x82), _x62), _x52), _x22), X2)) → f#(f(n__f(f(f(f(n__f(g(activate(_x91)), _x132), _x102), _x82), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x71), _x102), _x82), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(f(f(g(activate(_x71)), _x102), _x82), _x72), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x52), _x52), _x22), X2)) → f#(f(n__f(n__f(f(activate(_x81), _x82), _x52), _x52), _x22), X2)
activate#(n__f(n__f(g(_x32), _x31), X2)) → f#(f(_x32, n__f(n__g(_x32), activate(_x31))), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x91, _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(_x91, _x92), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x81, _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(_x81, _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__g(n__f(n__f(_x101, _x72), _x52)), _x22), X2)) → f#(f(n__g(n__f(n__f(_x101, _x72), _x52)), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x82), _x92), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(n__f(n__f(f(activate(_x81), _x82), _x82), _x92), _x62), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x71), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(n__g(_x71), _x92))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x81)), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(g(g(activate(_x81))), _x82), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x91))), _x42), _x22), X2)) → f#(f(f(n__g(g(g(activate(_x91)))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x101), _x92))), _x51), _x22), X2)) → f#(f(f(n__g(f(g(activate(_x101)), _x92)), n__f(n__g(n__g(f(g(activate(_x101)), _x92))), activate(_x51))), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x111, _x112), _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(f(activate(_x111), _x112), _x92), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x112), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(n__f(n__f(activate(_x121), _x132), _x112), _x82), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(_x71)), _x52), _x22), X2)) → f#(f(n__f(g(g(activate(_x71))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x112), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(n__f(activate(_x101), _x112), _x82), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x132), _x102), _x92), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(n__f(f(activate(_x81), _x82), _x132), _x102), _x92), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x71, _x72), _x92), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(n__f(f(activate(_x71), _x72), _x92), _x62), _x52), _x32), X2)activate#(n__f(n__f(n__g(n__f(n__g(n__f(_x101, _x92)), _x52)), _x22), X2)) → f#(f(n__g(n__f(g(f(_x101, _x92)), _x52)), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x91, _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(activate(_x91), _x92))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x111), _x112), _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(f(n__g(_x111), _x112), _x92), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x62), _x82), _x72), _x32), _x32), X2)) → f#(n__f(n__f(n__f(f(n__f(activate(_x101), _x62), _x82), _x72), _x32), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x111, _x102)))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(g(f(_x111, _x102)))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x92), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(n__f(activate(_x81), _x92), _x62), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x62), _x82), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(f(n__f(f(activate(_x81), _x82), _x62), _x82), _x72), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x111), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(g(_x111), _x92))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x141, _x122), _x102), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(f(f(_x141, _x122), _x102), _x82), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x102), _x82), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(f(f(_x91, _x102), _x82), _x72), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x62), _x82), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(f(n__f(g(_x101), _x62), _x82), _x72), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x112), _x92), _x52), _x52), _x22), X2)) → f#(f(n__f(n__f(n__f(f(n__g(activate(_x101)), _x112), _x92), _x52), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x101))), _x42), _x22), X2)) → f#(f(f(n__g(g(g(_x101))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x91, _x92)), _x112), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(n__g(f(activate(_x91), _x92)), _x112), _x92), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x61), _x82), _x42), _x42), _x32), X2)) → f#(n__f(f(n__f(f(n__g(activate(_x61)), _x82), _x42), _x42), _x32), X2)
activate#(n__f(n__f(n__g(n__f(_x61, _x62)), _x32), X2)) → f#(n__f(n__g(f(activate(_x61), _x62)), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(_x81)), _x52), _x22), X2)) → f#(f(n__f(g(g(activate(_x81))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x91)), _x112), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(n__g(g(activate(_x91))), _x112), _x92), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(_x101, _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(g(n__g(f(f(_x101, _x82), _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x121, _x112)), _x112), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(n__g(n__f(activate(_x121), _x112)), _x112), _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x101), _x92))), _x31), n__g(f(g(activate(_x101)), _x92))), X2)) → f#(n__f(f(n__g(f(g(activate(_x101)), _x92)), n__f(n__g(n__g(f(g(activate(_x101)), _x92))), activate(_x31))), _x32), X2)
activate#(n__f(n__f(n__g(_x41), _x32), X2)) → f#(n__f(n__g(_x41), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x71, _x82), _x62), _x52), _x22), X2)) → f#(f(n__f(f(f(_x71, _x82), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x121, _x122)), _x112), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(g(f(activate(_x121), _x122)), _x112), _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__g(n__g(_x71)), _x22), X2)) → f#(f(g(g(_x71)), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x92), _x102), _x82), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(f(f(f(activate(_x91), _x92), _x102), _x82), _x72), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x82), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(n__f(_x101, _x82), _x92), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x62), _x52), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(n__f(n__f(activate(_x101), _x62), _x52), _x72), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x101))), _x51), _x22), X2)) → f#(f(f(g(g(_x101)), n__f(n__g(g(g(_x101))), activate(_x51))), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x92), _x42), _x42), _x32), X2)) → f#(n__f(f(n__f(n__f(activate(_x81), _x92), _x42), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x91))), _x51), _x22), X2)) → f#(f(f(g(g(activate(_x91))), n__f(n__g(g(g(activate(_x91)))), activate(_x51))), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__g(_x101)))), _x42), _x22), X2)) → f#(f(f(g(g(g(g(activate(_x101))))), _x42), _x22), X2)activate#(n__f(n__f(_x21, _x32), X2)) → f#(n__f(activate(_x21), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x111, _x112), _x92), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(activate(_x111), _x112), _x92), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x131, _x122)), _x112), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(n__g(f(_x131, _x122)), _x112), _x92), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x101), _x81))), _x42), _x22), X2)) → f#(f(f(g(n__g(f(activate(_x101), n__f(n__g(activate(_x101)), activate(_x81))))), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(_x81, _x82)), _x92))), _x42), _x32), X2)) → f#(n__f(f(n__g(n__g(f(g(f(activate(_x81), _x82)), _x92))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x141), _x122), _x102), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(f(f(g(activate(_x141)), _x122), _x102), _x82), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x91), _x92), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(n__f(g(activate(_x91)), _x92), _x72), _x42), _x32), X2)
activate#(n__f(n__f(n__g(n__f(_x51, _x42)), _x32), X2)) → f#(n__f(n__g(n__f(activate(_x51), _x42)), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(g(_x92), _x91)))), _x42), _x22), X2)) → f#(f(f(g(g(g(f(_x92, n__f(n__g(_x92), activate(_x91)))))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x111, _x92), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(n__f(activate(_x111), _x92), _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x61, _x62), _x92), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(activate(_x61), _x62), _x92), _x62), _x42), _x32), X2)
activate#(n__f(_x21, X2)) → f#(_x21, X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x112), _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(f(g(activate(_x101)), _x112), _x92), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__g(n__g(_x61)), _x31), X2)) → f#(f(g(activate(_x61)), n__f(n__g(g(activate(_x61))), activate(_x31))), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x42), _x42), _x32), X2)) → f#(n__f(f(n__f(f(activate(_x81), _x82), _x42), _x42), _x32), X2)
activate#(n__f(n__f(n__g(n__f(n__f(_x61, _x52), _x52)), _x32), X2)) → f#(n__f(n__g(f(n__f(activate(_x61), _x52), _x52)), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x101)), _x62), _x82), _x72), _x32), _x32), X2)) → f#(n__f(n__f(n__f(f(n__f(g(g(activate(_x101))), _x62), _x82), _x72), _x32), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x61), _x52), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(n__g(activate(_x61)), _x52), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x111)), _x62), _x82), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(f(n__f(g(g(_x111)), _x62), _x82), _x72), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x101), _x82))), _x42), _x22), X2)) → f#(f(f(g(n__g(n__f(g(activate(_x101)), _x82))), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x101), _x92))), _x32), _x32), X2)) → f#(n__f(n__f(g(n__g(f(g(activate(_x101)), _x92))), _x32), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x71), _x52), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(g(activate(_x71)), _x52), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__g(n__f(n__f(n__g(_x71), _x62), _x52)), _x32), X2)) → f#(n__f(n__g(f(f(g(activate(_x71)), _x62), _x52)), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x81), _x132), _x102), _x92), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(n__f(g(activate(_x81)), _x132), _x102), _x92), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x111, _x102)))), _x31), g(g(f(_x111, _x102)))), X2)) → f#(n__f(f(g(g(f(_x111, _x102))), n__f(n__g(g(g(f(_x111, _x102)))), activate(_x31))), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x111, _x102)))), _x32), _x32), X2)) → f#(n__f(n__f(g(g(g(f(_x111, _x102)))), _x32), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(_x81)), _x42), _x32), X2)) → f#(n__f(f(g(g(activate(_x81))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x102), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(f(_x121, _x102), _x82), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x141, _x142), _x122), _x102), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(f(f(f(activate(_x141), _x142), _x122), _x102), _x82), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__g(n__f(n__f(_x71, _x72), _x62)), _x22), X2)) → f#(f(n__g(f(f(activate(_x71), _x72), _x62)), _x22), X2)activate#(n__f(n__f(n__g(n__f(n__g(n__g(_x91)), _x52)), _x32), X2)) → f#(n__f(n__g(n__f(g(g(activate(_x91))), _x52)), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x102), _x92), _x42), _x42), _x32), X2)) → f#(n__f(f(n__f(n__f(f(n__f(activate(_x121), _x132), _x102), _x92), _x42), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(n__g(_x111), _x102)))), _x42), _x22), X2)) → f#(f(f(g(g(g(f(g(activate(_x111)), _x102)))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x61), _x51), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(activate(_x61), n__f(n__g(activate(_x61)), activate(_x51))), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x81), _x132), _x102), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(f(n__f(g(activate(_x81)), _x132), _x102), _x82), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x111, _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(_x111, _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x81))), _x42), _x22), X2)) → f#(f(f(n__g(n__g(n__g(_x81))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(_x81)), _x52), _x22), X2)) → f#(f(n__f(g(n__g(activate(_x81))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(_x91)), _x42), _x22), X2)) → f#(f(f(g(g(_x91)), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(_x51), _x42), _x32), X2)) → f#(n__f(f(g(_x51), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(g(_x82), _x81), _x82), _x72), _x42), _x22), X2)) → f#(f(f(n__f(f(f(_x82, n__f(n__g(_x82), activate(_x81))), _x82), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x111, _x112), _x132), _x102), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(n__f(f(activate(_x111), _x112), _x132), _x102), _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x101), _x62))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(n__f(g(activate(_x101)), _x62))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x101)), _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(g(g(activate(_x101))), _x92), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__g(n__f(_x61, _x52)), _x32), X2)) → f#(n__f(n__g(f(_x61, _x52)), _x32), X2)
activate#(n__f(n__f(n__g(n__f(n__f(n__f(_x91, _x92), _x82), _x52)), _x22), X2)) → f#(f(n__g(n__f(f(f(activate(_x91), _x92), _x82), _x52)), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(g(_x82), _x81))), _x42), _x22), X2)) → f#(f(f(g(n__g(f(_x82, n__f(n__g(_x82), activate(_x81))))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x82), _x92), _x42), _x52), _x32), X2)) → f#(n__f(n__f(n__f(n__f(n__f(g(activate(_x101)), _x82), _x92), _x42), _x52), _x32), X2)activate#(n__f(n__f(n__g(n__f(n__f(_x51, _x52), _x52)), _x32), X2)) → f#(n__f(n__g(n__f(f(activate(_x51), _x52), _x52)), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__f(_x71, _x72)), _x52), _x22), X2)) → f#(f(n__f(g(f(activate(_x71), _x72)), _x52), _x22), X2)activate#(n__f(n__f(n__g(n__f(n__g(_x61), _x52)), _x32), X2)) → f#(n__f(n__g(f(g(activate(_x61)), _x52)), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x91), _x132), _x102), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(n__f(g(activate(_x91)), _x132), _x102), _x92), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x91))), _x42), _x22), X2)) → f#(f(f(g(n__g(g(activate(_x91)))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(_x51), _x42), _x32), X2)) → f#(n__f(f(g(activate(_x51)), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x102), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(activate(_x101), _x102), _x92), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x92), _x102), _x82), _x72), _x52), _x22), X2)) → f#(f(n__f(n__f(f(f(f(activate(_x91), _x92), _x102), _x82), _x72), _x52), _x22), X2)activate#(n__f(n__f(n__g(n__f(n__g(n__f(n__f(_x101, _x102), _x92)), _x52)), _x22), X2)) → f#(f(n__g(n__f(g(f(f(activate(_x101), _x102), _x92)), _x52)), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x102), _x92), _x62), _x32), _x32), X2)) → f#(n__f(n__f(f(n__f(f(n__f(activate(_x121), _x132), _x102), _x92), _x62), _x32), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(_x81, _x92)), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(g(n__f(activate(_x81), _x92)), _x92))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x82), _x92), _x42), _x52), _x32), X2)) → f#(n__f(n__f(n__f(n__f(n__f(_x101, _x82), _x92), _x42), _x52), _x32), X2)activate#(n__f(n__f(n__g(n__g(n__f(_x71, _x72))), _x22), X2)) → f#(f(g(g(f(activate(_x71), _x72))), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(_x111, _x112)), _x92))), _x42), _x22), X2)) → f#(f(f(g(n__g(f(g(f(activate(_x111), _x112)), _x92))), _x42), _x22), X2)activate#(n__f(n__f(n__g(n__f(n__f(n__f(_x71, _x72), _x62), _x52)), _x32), X2)) → f#(n__f(n__g(f(f(f(activate(_x71), _x72), _x62), _x52)), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x111), _x92), _x102), _x82), _x72), _x42), _x22), X2)) → f#(f(f(n__f(f(f(f(g(activate(_x111)), _x92), _x102), _x82), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(_x101, _x102), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(g(n__g(f(f(f(activate(_x101), _x102), _x82), _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x151), _x132), _x102), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(f(n__f(g(activate(_x151)), _x132), _x102), _x82), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x102), _x92), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(n__f(f(n__f(activate(_x121), _x132), _x102), _x92), _x62), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x82), _x62), _x52), _x22), X2)) → f#(f(n__f(f(f(g(activate(_x101)), _x82), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x101), _x92))), _x52), _x22), X2)) → f#(f(n__f(g(n__g(f(g(activate(_x101)), _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(_x81)), _x42), _x22), X2)) → f#(f(f(n__g(n__g(activate(_x81))), _x42), _x22), X2)activate#(n__f(n__f(n__f(_x31, _x32), _x32), X2)) → f#(n__f(n__f(_x31, _x32), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(_x91)), _x42), _x22), X2)) → f#(f(f(g(n__g(_x91)), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x71, _x72))), _x52), _x22), X2)) → f#(f(n__f(g(n__g(n__f(_x71, _x72))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x92), _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(f(activate(_x91), _x92), _x92), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x91, _x82))), _x42), _x22), X2)) → f#(f(f(g(n__g(n__f(activate(_x91), _x82))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x111), _x82))), _x42), _x22), X2)) → f#(f(f(g(n__g(n__f(g(_x111), _x82))), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x91))), _x42), _x22), X2)) → f#(f(f(g(g(n__g(activate(_x91)))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x92), _x72), _x52), _x22), X2)) → f#(f(n__f(n__f(n__f(activate(_x81), _x92), _x72), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x91, _x92))), _x42), _x22), X2)) → f#(f(f(g(g(f(activate(_x91), _x92))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x101), _x61))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(activate(_x101), n__f(n__g(activate(_x101)), activate(_x61))))), _x42), _x32), X2)activate#(n__f(n__f(n__g(n__f(n__g(n__g(_x91)), _x52)), _x22), X2)) → f#(f(n__g(n__f(g(n__g(activate(_x91))), _x52)), _x22), X2)
activate#(n__f(n__f(n__g(n__f(n__f(_x81, _x82), _x52)), _x32), X2)) → f#(n__f(n__g(n__f(f(activate(_x81), _x82), _x52)), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x71, _x82), _x92), _x52), _x52), _x22), X2)) → f#(f(n__f(n__f(n__f(n__f(activate(_x71), _x82), _x92), _x52), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x101, _x102)))), _x42), _x32), X2)) → f#(n__f(f(g(g(g(f(activate(_x101), _x102)))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x71, _x102), _x82), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(f(f(_x71, _x102), _x82), _x72), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x121), _x102), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(f(g(activate(_x121)), _x102), _x82), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x102), _x82), _x52), _x52), _x22), X2)) → f#(f(n__f(n__f(f(f(n__f(activate(_x121), _x132), _x102), _x82), _x52), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x81))), _x52), _x32), X2)) → f#(n__f(n__f(g(n__g(n__g(_x81))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x101, _x102)))), _x42), _x22), X2)) → f#(f(f(g(g(n__g(f(activate(_x101), _x102)))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x122), _x112), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(n__f(f(activate(_x121), _x122), _x112), _x82), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__g(n__g(_x51)), _x32), X2)) → f#(n__f(n__g(g(activate(_x51))), _x32), X2)
activate#(n__f(n__f(n__g(n__f(n__g(n__f(_x91, _x92)), _x52)), _x32), X2)) → f#(n__f(n__g(n__f(g(f(activate(_x91), _x92)), _x52)), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x111, _x102)))), _x42), _x22), X2)) → f#(f(f(g(n__g(g(f(_x111, _x102)))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x111, _x102)))), _x42), _x32), X2)) → f#(n__f(f(n__g(g(g(f(_x111, _x102)))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x111, _x112), _x92), _x102), _x82), _x72), _x42), _x22), X2)) → f#(f(f(n__f(f(f(f(f(activate(_x111), _x112), _x92), _x102), _x82), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x92), _x132), _x102), _x82), _x62), _x52), _x22), X2)) → f#(f(n__f(f(f(f(n__f(f(activate(_x91), _x92), _x132), _x102), _x82), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x101)), _x62), _x82), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(f(n__f(g(n__g(activate(_x101))), _x62), _x82), _x72), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x111), _x92))), _x42), _x22), X2)) → f#(f(f(n__g(n__g(f(g(_x111), _x92))), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x81))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(n__g(_x81))), _x42), _x32), X2)
activate#(n__f(n__f(n__g(n__f(_x61, _x62)), _x22), X2)) → f#(f(g(f(activate(_x61), _x62)), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__f(_x51, _x52)), _x42), _x32), X2)) → f#(n__f(f(g(f(activate(_x51), _x52)), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(_x101, _x102), _x92))), _x42), _x22), X2)) → f#(f(f(g(n__g(f(f(activate(_x101), _x102), _x92))), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x112), _x92), _x72), _x52), _x22), X2)) → f#(f(n__f(n__f(n__f(f(n__g(activate(_x101)), _x112), _x92), _x72), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x81))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(n__g(_x81))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(_x81, _x82)), _x62))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(n__f(g(f(activate(_x81), _x82)), _x62))), _x42), _x32), X2)
activate#(n__f(n__f(n__g(n__g(n__g(_x71))), _x22), X2)) → f#(f(g(g(g(activate(_x71)))), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x61), _x52), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(g(activate(_x61)), _x52), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(_x71, _x72), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(g(n__g(f(f(activate(_x71), _x72), _x92))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x71), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(g(activate(_x71)), _x92), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x81, _x132), _x102), _x92), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(n__f(_x81, _x132), _x102), _x92), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__g(_x111)), _x92))), _x42), _x22), X2)) → f#(f(f(g(n__g(f(g(g(activate(_x111))), _x92))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x111), _x92))), _x52), _x22), X2)) → f#(f(n__f(g(n__g(f(g(_x111), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(_x81), _x42), _x22), X2)) → f#(f(f(g(_x81), _x42), _x22), X2)
activate#(n__f(n__f(n__g(n__f(n__g(n__g(n__g(_x101))), _x52)), _x22), X2)) → f#(f(n__g(n__f(g(g(g(activate(_x101)))), _x52)), _x22), X2)activate#(n__f(n__f(n__f(n__g(_x61), _x42), _x32), X2)) → f#(n__f(f(n__g(activate(_x61)), _x42), _x32), X2)
activate#(n__f(n__f(n__g(n__f(n__g(_x51), _x52)), _x32), X2)) → f#(n__f(n__g(n__f(g(activate(_x51)), _x52)), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x62), _x82), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(f(n__f(n__f(activate(_x121), _x132), _x62), _x82), _x62), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(_x71), _x52), _x22), X2)) → f#(f(n__f(g(_x71), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__f(_x71, _x72)), _x52), _x32), X2)) → f#(n__f(n__f(n__g(f(activate(_x71), _x72)), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x111, _x102)))), _x42), _x32), X2)) → f#(n__f(f(g(g(n__g(f(_x111, _x102)))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x91, _x72))), _x52), _x22), X2)) → f#(f(n__f(g(n__g(n__f(activate(_x91), _x72))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(_x81)), _x42), _x32), X2)) → f#(n__f(f(g(n__g(activate(_x81))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(_x81, _x62), _x42), _x22), X2)) → f#(f(f(f(_x81, _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(_x61), _x42), _x22), X2)) → f#(f(f(n__g(activate(_x61)), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__f(n__g(_x81), _x72)), _x52), _x22), X2)) → f#(f(n__f(n__g(f(g(activate(_x81)), _x72)), _x52), _x22), X2)
activate#(n__f(n__f(n__g(n__f(n__g(n__g(_x101)), _x52)), _x22), X2)) → f#(f(n__g(n__f(g(g(_x101)), _x52)), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x121, _x122)), _x92), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(n__f(n__g(f(activate(_x121), _x122)), _x92), _x92), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x111, _x112)), _x112), _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(f(n__g(f(activate(_x111), _x112)), _x112), _x92), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x52), _x42), _x42), _x32), X2)) → f#(n__f(f(n__f(n__f(activate(_x81), _x52), _x42), _x42), _x32), X2)

Rewrite Rules

f(g(X), Y) → f(X, n__f(n__g(X), activate(Y)))f(X1, X2) → n__f(X1, X2)
g(X) → n__g(X)activate(n__f(X1, X2)) → f(activate(X1), X2)
activate(n__g(X)) → g(activate(X))activate(X) → X

Original Signature

Termination of terms over the following signature is verified: activate, f, g, n__f, n__g

Strategy

The right-hand side of the rule activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x81), _x132), _x102), _x82), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(f(f(n__f(g(activate(_x81)), _x132), _x102), _x82), _x62), _x52), _x32), X2) 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
f#(n__f(n__f(f(f(f(n__f(g(f(activate(_x101), _x102)), _x132), _x102), _x82), _x62), _x52), _x32), X2) 
f#(n__f(n__f(f(n__f(f(n__f(g(activate(_x81)), _x132), _x102), _x52), _x62), _x52), _x32), X2) 
f#(n__f(n__f(f(f(f(n__f(g(g(activate(_x101))), _x132), _x102), _x82), _x62), _x52), _x32), X2) 
f#(n__f(n__f(f(f(f(n__f(n__g(activate(_x81)), _x132), _x102), _x82), _x62), _x52), _x32), X2) 
f#(n__f(n__f(f(f(f(n__f(g(_x101), _x132), _x102), _x82), _x62), _x52), _x32), X2) 
f#(n__f(n__f(n__f(f(f(n__f(g(activate(_x81)), _x132), _x102), _x82), _x42), _x52), _x32), X2) 
f#(n__f(n__f(f(f(n__f(n__f(g(activate(_x81)), _x132), _x62), _x82), _x62), _x52), _x32), X2) 
Thus, the rule activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x81), _x132), _x102), _x82), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(f(f(n__f(g(activate(_x81)), _x132), _x102), _x82), _x62), _x52), _x32), X2) is replaced by the following rules:
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x132), _x102), _x82), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(f(f(n__f(g(_x101), _x132), _x102), _x82), _x62), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x101)), _x132), _x102), _x82), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(f(f(n__f(g(g(activate(_x101))), _x132), _x102), _x82), _x62), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x81), _x132), _x62), _x82), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(f(n__f(n__f(g(activate(_x81)), _x132), _x62), _x82), _x62), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x81), _x132), _x102), _x82), _x42), _x52), _x32), X2)) → f#(n__f(n__f(n__f(f(f(n__f(g(activate(_x81)), _x132), _x102), _x82), _x42), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x81), _x132), _x102), _x82), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(f(f(n__f(n__g(activate(_x81)), _x132), _x102), _x82), _x62), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x101, _x102)), _x132), _x102), _x82), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(f(f(n__f(g(f(activate(_x101), _x102)), _x132), _x102), _x82), _x62), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x81), _x132), _x102), _x52), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(n__f(f(n__f(g(activate(_x81)), _x132), _x102), _x52), _x62), _x52), _x32), X2)

Problem 24: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

activate#(n__f(n__f(n__f(n__g(_x61), _x32), _x32), X2)) → f#(n__f(n__f(g(activate(_x61)), _x32), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x91), _x72), _x92), _x52), _x52), _x22), X2)) → f#(f(n__f(n__f(n__f(f(g(activate(_x91)), _x72), _x92), _x52), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x132), _x102), _x82), _x52), _x52), _x22), X2)) → f#(f(n__f(n__f(f(f(n__f(_x91, _x132), _x102), _x82), _x52), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x81, _x82)), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(g(f(activate(_x81), _x82)), _x82), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x81, _x82)), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(n__g(f(activate(_x81), _x82)), _x82), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x132), _x102), _x82), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(f(f(n__f(f(activate(_x81), _x82), _x132), _x102), _x82), _x62), _x52), _x32), X2)
activate#(n__f(n__f(n__g(_x41), _x31), X2)) → f#(f(activate(_x41), n__f(n__g(activate(_x41)), activate(_x31))), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x52), _x62), _x32), _x32), X2)) → f#(n__f(n__f(f(n__f(activate(_x81), _x52), _x62), _x32), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x51, _x52), _x42), _x42), _x32), X2)) → f#(n__f(f(n__f(f(activate(_x51), _x52), _x42), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x62), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(activate(_x81), _x62), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x102), _x132), _x102), _x82), _x42), _x52), _x32), X2)) → f#(n__f(n__f(n__f(f(f(n__f(n__f(activate(_x91), _x102), _x132), _x102), _x82), _x42), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(_x111, _x122), _x122), _x102), _x92), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(n__f(f(f(n__f(activate(_x111), _x122), _x122), _x102), _x92), _x62))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x111), _x92))), _x51), _x22), X2)) → f#(f(f(n__g(f(g(_x111), _x92)), n__f(n__g(n__g(f(g(_x111), _x92))), activate(_x51))), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x102), _x62), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(activate(_x101), _x102), _x62), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x121, _x132), _x102), _x92), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(n__f(f(n__f(activate(_x121), _x132), _x102), _x92), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x102), _x82), _x72), _x32), _x32), X2)) → f#(n__f(n__f(n__f(f(f(activate(_x101), _x102), _x82), _x72), _x32), _x32), X2)
activate#(n__f(n__f(n__f(n__g(_x61), _x31), activate(_x61)), X2)) → f#(n__f(f(activate(_x61), n__f(n__g(activate(_x61)), activate(_x31))), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x102), _x82), _x42), _x42), _x32), X2)) → f#(n__f(f(n__f(f(f(n__f(activate(_x121), _x132), _x102), _x82), _x42), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x102), _x72), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(f(activate(_x101), _x102), _x72), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x81), _x92))), _x31), n__g(f(g(_x81), _x92))), X2)) → f#(n__f(f(n__g(f(g(_x81), _x92)), n__f(n__g(n__g(f(g(_x81), _x92))), activate(_x31))), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x151, _x132), _x102), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(f(f(n__f(_x151, _x132), _x102), _x82), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(_x141, _x142), _x112), _x112), _x82), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(f(n__f(n__f(f(activate(_x141), _x142), _x112), _x112), _x82), _x62))), _x52), _x32), X2)
activate#(n__f(n__f(n__g(n__g(_x61)), _x31), X2)) → f#(f(n__g(activate(_x61)), n__f(n__g(n__g(activate(_x61))), activate(_x31))), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x102), _x62), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(n__f(activate(_x121), _x132), _x102), _x62), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(n__g(_x141)), _x132), _x102), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(f(f(n__f(g(g(activate(_x141))), _x132), _x102), _x82), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x61), _x82), _x62), _x32), _x32), X2)) → f#(n__f(n__f(f(f(g(activate(_x61)), _x82), _x62), _x32), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x81), _x132), _x62), _x82), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(f(n__f(n__f(g(activate(_x81)), _x132), _x62), _x82), _x62), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x91), _x62), _x42), _x22), X2)) → f#(f(f(f(f(activate(_x101), n__f(n__g(activate(_x101)), activate(_x91))), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x102), _x52), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(n__f(f(n__f(activate(_x121), _x132), _x102), _x52), _x62), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(_x101, _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(g(f(f(_x101, _x82), _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x92), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(n__f(n__f(activate(_x121), _x132), _x92), _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(_x101, _x102), _x82), _x72))), _x52), _x22), X2)) → f#(f(n__f(n__g(g(n__f(f(f(activate(_x101), _x102), _x82), _x72))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x121, _x132), _x102), _x82), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(f(f(f(n__f(activate(_x121), _x132), _x102), _x82), _x92))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x91), _x92))), _x51), _x22), X2)) → f#(f(f(n__g(f(n__g(_x91), _x92)), n__f(n__g(n__g(f(n__g(_x91), _x92))), activate(_x51))), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x71, _x92), _x52), _x52), _x22), X2)) → f#(f(n__f(n__f(n__f(_x71, _x92), _x52), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x92), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(n__f(g(activate(_x101)), _x92), _x92), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x81), _x92))), _x32), _x32), X2)) → f#(n__f(n__f(g(n__g(f(g(_x81), _x92))), _x32), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(_x131, _x142), _x122), _x112), _x82), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(f(n__f(f(f(_x131, _x142), _x122), _x112), _x82), _x62))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x71), _x102), _x82), _x62), _x32), _x32), X2)) → f#(n__f(n__f(f(f(f(g(activate(_x71)), _x102), _x82), _x62), _x32), _x32), X2)f#(g(X), Y) → f#(X, n__f(n__g(X), activate(Y)))
activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x81))), _x42), _x22), X2)) → f#(f(f(g(g(n__g(_x81))), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x81, _x92))), _x52), _x32), X2)) → f#(n__f(n__f(g(n__g(f(_x81, _x92))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x71, _x72), _x62), _x52), _x22), X2)) → f#(f(n__f(f(f(activate(_x71), _x72), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(_x81, _x82)), _x92))), _x32), _x32), X2)) → f#(n__f(n__f(g(n__g(f(g(f(activate(_x81), _x82)), _x92))), _x32), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x91)), _x102), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(f(n__g(g(activate(_x91))), _x102), _x82), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x72), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(_x91, _x72), _x92), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x82), _x81))), _x42), _x22), X2)) → f#(f(f(g(n__g(f(_x82, n__f(n__g(_x82), activate(_x81))))), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(_x151), _x132), _x102), _x82), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(f(f(n__f(g(activate(_x151)), _x132), _x102), _x82), _x62))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x111)), _x72), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(g(g(activate(_x111))), _x72), _x92), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(_x61, _x52), _x52), _x22), X2)) → f#(f(n__f(n__f(activate(_x61), _x52), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(n__f(_x131, _x132), _x122)), _x112), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(n__g(f(f(activate(_x131), _x132), _x122)), _x112), _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x111, _x122), _x102), _x92), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(n__f(f(f(_x111, _x122), _x102), _x92), _x62))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x71), _x102), _x82), _x62), _x32), _x32), X2)) → f#(n__f(n__f(f(f(f(n__g(activate(_x71)), _x102), _x82), _x62), _x32), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(n__g(activate(_x101)), _x82), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x121, _x132), _x112), _x82), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(f(n__f(n__f(activate(_x121), _x132), _x112), _x82), _x62))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x151, _x132), _x102), _x92), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(n__f(f(n__f(_x151, _x132), _x102), _x92), _x62))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x81), _x62), _x82), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(f(n__f(n__g(activate(_x81)), _x62), _x82), _x72), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x111), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(g(activate(_x111)), _x92), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x101))), _x42), _x32), X2)) → f#(n__f(f(g(g(g(_x101))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x101), _x92))), _x42), _x32), X2)) → f#(n__f(f(n__g(n__g(f(g(activate(_x101)), _x92))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x61, _x62), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(f(activate(_x61), _x62), _x82), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x82), _x72), _x42), _x22), X2)) → f#(f(f(n__f(f(n__f(_x81, _x82), _x82), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x111, _x102)))), _x42), _x22), X2)) → f#(f(f(n__g(g(g(f(_x111, _x102)))), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(_x81)), _x42), _x32), X2)) → f#(n__f(f(n__g(g(activate(_x81))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x111, _x102)))), _x51), _x22), X2)) → f#(f(f(g(g(f(_x111, _x102))), n__f(n__g(g(g(f(_x111, _x102)))), activate(_x51))), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x71, _x92), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(n__f(_x71, _x92), _x62), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__f(_x81, _x72)), _x52), _x22), X2)) → f#(f(n__f(n__g(f(_x81, _x72)), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x121, _x122), _x92), _x92), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(n__f(n__f(f(activate(_x121), _x122), _x92), _x92), _x62))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x132), _x102), _x82), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(f(f(n__f(_x91, _x132), _x102), _x82), _x62), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(_x151), _x132), _x112), _x82), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(f(f(n__f(n__f(g(activate(_x151)), _x132), _x112), _x82), _x92))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x91), _x102), _x82), _x72), _x42), _x22), X2)) → f#(f(f(n__f(f(f(g(activate(_x91)), _x102), _x82), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x121)), _x112), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(g(g(activate(_x121))), _x112), _x92), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(_x101), _x82)), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(g(f(g(activate(_x101)), _x82)), _x92))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x71, _x72), _x102), _x82), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(f(f(f(activate(_x71), _x72), _x102), _x82), _x72), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(n__g(_x131), _x122)), _x112), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(n__g(f(g(activate(_x131)), _x122)), _x112), _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x101, _x92))), _x42), _x22), X2)) → f#(f(f(n__g(g(f(_x101, _x92))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x121, _x122)), _x112), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(n__g(f(activate(_x121), _x122)), _x112), _x92), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x111, _x112)), _x132), _x102), _x82), _x42), _x52), _x32), X2)) → f#(n__f(n__f(n__f(f(f(n__f(g(f(activate(_x111), _x112)), _x132), _x102), _x82), _x42), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x91, _x82))), _x42), _x22), X2)) → f#(f(f(n__g(g(n__f(activate(_x91), _x82))), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x101))), _x51), _x22), X2)) → f#(f(f(n__g(g(_x101)), n__f(n__g(n__g(g(_x101))), activate(_x51))), _x22), X2)
activate#(n__f(n__f(n__g(n__g(_x61)), _x22), X2)) → f#(f(n__g(n__g(activate(_x61))), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x61, _x92), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(_x61, _x92), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(_x141, _x142), _x122), _x112), _x92), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(n__f(n__f(f(f(activate(_x141), _x142), _x122), _x112), _x92), _x62))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x111, _x102)))), _x42), _x22), X2)) → f#(f(f(g(g(n__g(f(_x111, _x102)))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x102), _x52), _x62), _x32), _x32), X2)) → f#(n__f(n__f(f(n__f(f(activate(_x101), _x102), _x52), _x62), _x32), _x32), X2)activate#(n__f(n__f(n__g(n__f(n__g(_x91), _x52)), _x22), X2)) → f#(f(n__g(n__f(g(_x91), _x52)), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(_x81, _x92), _x92))), _x52), _x22), X2)) → f#(f(n__f(g(n__g(f(n__f(activate(_x81), _x92), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__g(_x81)), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(g(g(activate(_x81))), _x92))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x81, _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(g(f(_x81, _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x102), _x82), _x72), _x52), _x22), X2)) → f#(f(n__f(n__f(f(f(activate(_x101), _x102), _x82), _x72), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(_x141, _x142), _x132), _x102), _x82), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(f(f(n__f(f(activate(_x141), _x142), _x132), _x102), _x82), _x62))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x101, _x122), _x102), _x82), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(f(f(f(f(_x101, _x122), _x102), _x82), _x92))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x102), _x52), _x42), _x42), _x32), X2)) → f#(n__f(f(n__f(n__f(f(n__f(activate(_x121), _x132), _x102), _x52), _x42), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(_x91)), _x52), _x22), X2)) → f#(f(n__f(n__g(g(_x91)), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x111, _x112), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(activate(_x111), _x112), _x92), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(_x141, _x142), _x122), _x112), _x82), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(n__f(f(n__f(f(f(activate(_x141), _x142), _x122), _x112), _x82), _x62))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(_x101, _x102), _x82), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(f(f(f(activate(_x101), _x102), _x82), _x92))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(_x121, _x102), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(g(f(f(f(_x121, _x102), _x82), _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x102), _x92), _x52), _x52), _x22), X2)) → f#(f(n__f(n__f(n__f(f(n__f(activate(_x121), _x132), _x102), _x92), _x52), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x92), _x132), _x72), _x82), _x42), _x52), _x32), X2)) → f#(n__f(n__f(n__f(f(n__f(n__f(f(activate(_x91), _x92), _x132), _x72), _x82), _x42), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x92), _x132), _x102), _x62), _x42), _x52), _x32), X2)) → f#(n__f(n__f(n__f(n__f(f(n__f(f(activate(_x91), _x92), _x132), _x102), _x62), _x42), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x81, _x102), _x82), _x62), _x52), _x22), X2)) → f#(f(n__f(f(f(f(_x81, _x102), _x82), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x101, _x102)))), _x52), _x22), X2)) → f#(f(n__f(g(g(g(f(activate(_x101), _x102)))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x112), _x92), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(n__g(activate(_x101)), _x112), _x92), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(_x111, _x112), _x122), _x102), _x92), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(n__f(n__f(f(f(f(activate(_x111), _x112), _x122), _x102), _x92), _x62))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__g(_x71), _x62), _x52), _x22), X2)) → f#(f(n__f(f(g(activate(_x71)), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(_x141, _x142), _x122), _x102), _x92), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(n__f(f(f(f(activate(_x141), _x142), _x122), _x102), _x92), _x62))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x112), _x92), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(n__f(f(n__g(activate(_x101)), _x112), _x92), _x62), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x111, _x132), _x92), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(n__f(n__f(_x111, _x132), _x92), _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(n__g(_x111))), _x62), _x82), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(f(n__f(g(g(n__g(activate(_x111)))), _x62), _x82), _x72), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x102), _x82), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(n__f(f(activate(_x101), _x102), _x82), _x92), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x121, _x122), _x102), _x92), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(g(f(n__f(f(f(activate(_x121), _x122), _x102), _x92), _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__g(n__g(_x51)), _x32), X2)) → f#(n__f(g(g(activate(_x51))), _x32), X2)activate#(n__f(n__f(n__g(n__f(g(_x52), _x51)), _x22), X2)) → f#(f(n__g(f(_x52, n__f(n__g(_x52), activate(_x51)))), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__f(_x71, _x62)), _x52), _x22), X2)) → f#(f(n__f(n__g(n__f(activate(_x71), _x62)), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x81), _x112), _x92), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(g(_x81), _x112), _x92), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x92), _x102), _x72), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(f(f(activate(_x91), _x92), _x102), _x72), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x91, _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(activate(_x91), _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x71, _x92))), _x52), _x32), X2)) → f#(n__f(n__f(g(n__g(f(_x71, _x92))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x121, _x122), _x102), _x82), _x72))), _x52), _x22), X2)) → f#(f(n__f(n__g(g(n__f(f(f(f(activate(_x121), _x122), _x102), _x82), _x72))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x72), _x82), _x62), _x52), _x22), X2)) → f#(f(n__f(f(f(n__f(n__f(activate(_x121), _x132), _x72), _x82), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(g(activate(_x101)), _x92), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(_x81, _x82)), _x92))), _x31), n__g(f(g(f(activate(_x81), _x82)), _x92))), X2)) → f#(n__f(f(n__g(f(g(f(activate(_x81), _x82)), _x92)), n__f(n__g(n__g(f(g(f(activate(_x81), _x82)), _x92))), activate(_x31))), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(_x151), _x132), _x102), _x82), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(f(f(f(n__f(g(activate(_x151)), _x132), _x102), _x82), _x92))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x111, _x132), _x102), _x92), _x72), _x52), _x22), X2)) → f#(f(n__f(n__f(n__f(f(n__f(_x111, _x132), _x102), _x92), _x72), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x101, _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(_x101, _x92))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x111), _x132), _x102), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(n__f(n__g(activate(_x111)), _x132), _x102), _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x91))), _x52), _x22), X2)) → f#(f(n__f(g(g(g(activate(_x91)))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x102), _x52), _x62), _x32), _x32), X2)) → f#(n__f(n__f(f(n__f(f(n__f(activate(_x121), _x132), _x102), _x52), _x62), _x32), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x81), _x102), _x52), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(n__g(activate(_x81)), _x102), _x52), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(_x151), _x132), _x112), _x92), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(n__f(n__f(n__f(g(activate(_x151)), _x132), _x112), _x92), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(_x71)), _x52), _x22), X2)) → f#(f(n__f(n__g(g(activate(_x71))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x121)), _x132), _x102), _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(f(n__f(g(g(activate(_x121))), _x132), _x102), _x92), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x71, _x72)))), _x42), _x32), X2)) → f#(n__f(f(g(g(g(n__f(_x71, _x72)))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x81), _x62), _x52), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(n__f(n__f(g(activate(_x81)), _x62), _x52), _x72), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(_x81, _x102), _x72))), _x52), _x22), X2)) → f#(f(n__f(g(n__g(n__f(n__f(activate(_x81), _x102), _x72))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x71, _x72), _x52), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(f(activate(_x71), _x72), _x52), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__g(n__f(n__g(n__f(_x91, _x82)), _x52)), _x22), X2)) → f#(f(n__g(n__f(g(n__f(activate(_x91), _x82)), _x52)), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(_x111, _x112), _x82), _x72))), _x52), _x22), X2)) → f#(f(n__f(g(n__g(n__f(f(f(activate(_x111), _x112), _x82), _x72))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x91), _x72), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(n__g(activate(_x91)), _x72), _x92), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x122), _x102), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(f(f(activate(_x121), _x122), _x102), _x82), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(_x81, _x82)), _x61))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(f(activate(_x81), _x82), n__f(n__g(f(activate(_x81), _x82)), activate(_x61))))), _x42), _x32), X2)
activate#(n__f(X1, X2)) → activate#(X1)activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x101, _x102)))), _x42), _x22), X2)) → f#(f(f(g(n__g(g(f(activate(_x101), _x102)))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x62), _x32), _x32), X2)) → f#(n__f(n__f(f(f(activate(_x81), _x82), _x62), _x32), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x121, _x122)), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(g(f(activate(_x121), _x122)), _x82), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x111)), _x132), _x102), _x82), _x42), _x52), _x32), X2)) → f#(n__f(n__f(n__f(f(f(n__f(g(g(activate(_x111))), _x132), _x102), _x82), _x42), _x52), _x32), X2)activate#(n__f(n__g(_x21), X2)) → f#(g(activate(_x21)), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(_x81, _x82), _x72))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(n__f(f(activate(_x81), _x82), _x72))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x91, _x92)))), _x42), _x22), X2)) → f#(f(f(g(g(g(n__f(_x91, _x92)))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x91), activate(_x101)), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(activate(_x101), n__f(n__g(activate(_x101)), activate(_x91))), _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x121)), _x112), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(n__g(g(activate(_x121))), _x112), _x92), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__g(_x101), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(g(n__g(f(f(g(activate(_x101)), _x82), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(n__f(_x111, _x112), _x102)))), _x42), _x22), X2)) → f#(f(f(g(g(g(f(f(activate(_x111), _x112), _x102)))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__f(_x81, _x82)), _x42), _x22), X2)) → f#(f(f(g(f(activate(_x81), _x82)), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x71), _x102), _x82), _x42), _x42), _x32), X2)) → f#(n__f(f(n__f(f(f(g(activate(_x71)), _x102), _x82), _x42), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x102), _x132), _x102), _x82), _x42), _x52), _x32), X2)) → f#(n__f(n__f(n__f(f(f(n__f(n__f(_x101, _x102), _x132), _x102), _x82), _x42), _x52), _x32), X2)activate#(n__g(X)) → activate#(X)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(_x101, _x82)), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(g(f(_x101, _x82)), _x92))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x121, _x122), _x102), _x82), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(f(f(f(f(activate(_x121), _x122), _x102), _x82), _x92))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x81)), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(n__g(g(activate(_x81))), _x82), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__g(_x51), _x32), X2)) → f#(n__f(g(_x51), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x112), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(g(activate(_x101)), _x112), _x92), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x101))), _x52), _x22), X2)) → f#(f(n__f(g(n__g(g(_x101))), _x52), _x22), X2)
activate#(n__f(n__f(n__g(n__f(n__f(n__g(_x91), _x82), _x52)), _x22), X2)) → f#(f(n__g(n__f(f(g(activate(_x91)), _x82), _x52)), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x71, _x72), _x52), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(activate(_x71), _x72), _x52), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x92), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(n__f(n__g(activate(_x101)), _x92), _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x121, _x122), _x102), _x92), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(n__f(f(f(activate(_x121), _x122), _x102), _x92), _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x122), _x102), _x82), _x62), _x52), _x22), X2)) → f#(f(n__f(f(f(f(f(activate(_x121), _x122), _x102), _x82), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__g(_x32), _x31), X2)) → f#(f(_x32, n__f(n__g(_x32), activate(_x31))), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x132), _x102), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(n__f(_x91, _x132), _x102), _x92), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x91), _x132), _x102), _x62), _x42), _x52), _x32), X2)) → f#(n__f(n__f(n__f(n__f(f(n__f(g(activate(_x91)), _x132), _x102), _x62), _x42), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x62), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(n__f(n__f(activate(_x121), _x132), _x62), _x82), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(g(_x101), _x92), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x101, _x92))), _x52), _x22), X2)) → f#(f(n__f(g(n__g(f(_x101, _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x82), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(n__f(g(activate(_x101)), _x82), _x92), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__g(n__f(n__g(_x71), _x62)), _x22), X2)) → f#(f(n__g(f(g(activate(_x71)), _x62)), _x22), X2)activate#(n__f(n__f(n__g(_x61), _x22), X2)) → f#(f(n__g(_x61), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(n__g(_x111))), _x62), _x82), _x72), _x32), _x32), X2)) → f#(n__f(n__f(n__f(f(n__f(g(g(g(activate(_x111)))), _x62), _x82), _x72), _x32), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x81))), _x51), _x22), X2)) → f#(f(f(n__g(n__g(_x81)), n__f(n__g(n__g(n__g(_x81))), activate(_x51))), _x22), X2)
activate#(n__f(n__f(n__g(n__g(_x61)), _x32), X2)) → f#(n__f(g(g(activate(_x61))), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(n__f(_x141, _x142)), _x132), _x102), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(f(f(n__f(g(f(activate(_x141), _x142)), _x132), _x102), _x82), _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x91, _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(f(activate(_x91), _x92))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(_x81, _x82)), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(n__g(f(activate(_x81), _x82)), _x92))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x72), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(n__f(n__f(activate(_x121), _x132), _x72), _x92), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x132), _x72), _x62), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(n__f(n__f(_x91, _x132), _x72), _x62), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(n__g(_x111))), _x62), _x52), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(n__f(n__f(g(g(g(activate(_x111)))), _x62), _x52), _x72), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x111, _x92), _x102), _x82), _x72), _x42), _x22), X2)) → f#(f(f(n__f(f(f(f(_x111, _x92), _x102), _x82), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(_x141), _x122), _x102), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(g(f(f(f(f(g(activate(_x141)), _x122), _x102), _x82), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x71), _x102), _x52), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(g(activate(_x71)), _x102), _x52), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(_x51)), _x42), _x32), X2)) → f#(n__f(f(g(g(activate(_x51))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x141, _x122), _x102), _x82), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(f(f(f(_x141, _x122), _x102), _x82), _x62))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x72), _x82), _x42), _x52), _x32), X2)) → f#(n__f(n__f(n__f(f(n__f(n__f(activate(_x121), _x132), _x72), _x82), _x42), _x52), _x32), X2)activate#(n__f(n__f(n__f(g(_x32), _x31), _x32), X2)) → f#(n__f(f(_x32, n__f(n__g(_x32), activate(_x31))), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(_x81)), _x52), _x22), X2)) → f#(f(n__f(n__g(g(activate(_x81))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(_x131), _x132), _x112), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(f(n__f(n__f(g(_x131), _x132), _x112), _x82), _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(_x61), _x51), _x22), X2)) → f#(f(f(activate(_x61), n__f(n__g(activate(_x61)), activate(_x51))), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x71, _x72), _x82), _x62), _x52), _x22), X2)) → f#(f(n__f(f(f(f(activate(_x71), _x72), _x82), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x91)), _x102), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(f(g(g(activate(_x91))), _x102), _x82), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x101), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(n__g(activate(_x101)), _x92))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(_x141), _x122), _x102), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(f(f(f(g(activate(_x141)), _x122), _x102), _x82), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__g(n__f(n__f(n__g(_x101), _x72), _x52)), _x22), X2)) → f#(f(n__g(n__f(n__f(g(activate(_x101)), _x72), _x52)), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__f(n__f(_x81, _x82), _x72)), _x52), _x22), X2)) → f#(f(n__f(n__g(f(f(activate(_x81), _x82), _x72)), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(n__f(_x131, _x132), _x112), _x122), _x102), _x92), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(n__f(f(f(f(f(activate(_x131), _x132), _x112), _x122), _x102), _x92), _x62))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x112), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(n__g(_x101), _x112), _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x91), _x92))), _x52), _x22), X2)) → f#(f(n__f(g(n__g(f(n__g(_x91), _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x111), _x92), _x132), _x102), _x82), _x42), _x52), _x32), X2)) → f#(n__f(n__f(n__f(f(f(n__f(f(g(activate(_x111)), _x92), _x132), _x102), _x82), _x42), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(_x111), _x122), _x102), _x92), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(n__f(f(f(g(activate(_x111)), _x122), _x102), _x92), _x62))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(n__g(_x131)), _x132), _x112), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(f(n__f(n__f(g(g(activate(_x131))), _x132), _x112), _x82), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(_x71)), _x42), _x22), X2)) → f#(f(f(n__g(n__g(_x71)), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x111, _x132), _x82), _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(n__f(n__f(_x111, _x132), _x82), _x92), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(_x81, _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(f(activate(_x81), _x82), _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x101), _x92))), _x42), _x22), X2)) → f#(f(f(n__g(g(f(g(activate(_x101)), _x92))), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x102), _x82), _x42), _x42), _x32), X2)) → f#(n__f(f(n__f(f(f(activate(_x101), _x102), _x82), _x42), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(g(_x72), _x71)))), _x42), _x32), X2)) → f#(n__f(f(g(g(g(f(_x72, n__f(n__g(_x72), activate(_x71)))))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x91, _x92)), _x102), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(f(g(f(activate(_x91), _x92)), _x102), _x82), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x92), _x132), _x102), _x52), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(n__f(f(activate(_x91), _x92), _x132), _x102), _x52), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x81, _x132), _x102), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(f(n__f(_x81, _x132), _x102), _x82), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x101, _x92))), _x42), _x22), X2)) → f#(f(f(n__g(n__g(f(_x101, _x92))), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x92), _x72), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(f(activate(_x91), _x92), _x72), _x92), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x81), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(n__g(_x81), _x82), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x92), _x62), _x32), _x32), X2)) → f#(n__f(n__f(f(n__f(activate(_x81), _x92), _x62), _x32), _x32), X2)
activate#(n__f(n__f(n__g(n__f(n__g(_x81), _x52)), _x32), X2)) → f#(n__f(n__g(n__f(g(activate(_x81)), _x52)), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(n__g(_x161), _x142), _x122), _x102), _x82), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(f(f(f(f(g(activate(_x161)), _x142), _x122), _x102), _x82), _x62))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__g(_x81), _x62), _x42), _x22), X2)) → f#(f(f(f(g(activate(_x81)), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x72), _x42), _x22), X2)) → f#(f(f(n__f(f(activate(_x81), _x82), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(_x91)), _x42), _x32), X2)) → f#(n__f(f(n__g(g(_x91)), _x42), _x32), X2)activate#(n__f(n__f(n__g(n__f(n__f(_x91, _x82), _x52)), _x22), X2)) → f#(f(n__g(n__f(f(_x91, _x82), _x52)), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x112), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(_x101, _x112), _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x111, _x132), _x102), _x92), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(n__f(_x111, _x132), _x102), _x92), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x81), _x82), _x92), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(n__f(n__f(g(activate(_x81)), _x82), _x92), _x62), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x102), _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(f(n__f(activate(_x121), _x132), _x102), _x92), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x121, _x122), _x102), _x82), _x72))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(n__f(f(f(f(activate(_x121), _x122), _x102), _x82), _x72))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__f(_x101, _x102), _x82)), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(g(f(f(activate(_x101), _x102), _x82)), _x92))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(n__f(_x161, _x162), _x142), _x122), _x102), _x82), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(f(f(f(f(f(activate(_x161), _x162), _x142), _x122), _x102), _x82), _x62))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x102), _x82), _x92), _x42), _x52), _x32), X2)) → f#(n__f(n__f(n__f(n__f(n__f(f(activate(_x101), _x102), _x82), _x92), _x42), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x101, _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(_x101, _x82), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x71, _x72), _x92), _x52), _x52), _x22), X2)) → f#(f(n__f(n__f(n__f(f(activate(_x71), _x72), _x92), _x52), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x82), _x72), _x42), _x22), X2)) → f#(f(f(n__f(f(g(activate(_x101)), _x82), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x101, _x92)))), _x42), _x22), X2)) → f#(f(f(g(g(g(n__f(activate(_x101), _x92)))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(_x51, _x52), _x42), _x32), X2)) → f#(n__f(f(f(activate(_x51), _x52), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x101, _x102)))), _x42), _x22), X2)) → f#(f(f(n__g(g(g(f(activate(_x101), _x102)))), _x42), _x22), X2)
activate#(n__f(n__f(n__g(n__g(_x61)), _x22), X2)) → f#(f(n__g(g(activate(_x61))), _x22), X2)activate#(n__f(n__f(n__g(n__f(n__g(n__g(n__f(_x101, _x102))), _x52)), _x22), X2)) → f#(f(n__g(n__f(g(g(f(activate(_x101), _x102))), _x52)), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x112), _x92), _x42), _x42), _x32), X2)) → f#(n__f(f(n__f(n__f(f(g(activate(_x101)), _x112), _x92), _x42), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x102), _x82), _x72), _x52), _x22), X2)) → f#(f(n__f(n__f(f(f(_x91, _x102), _x82), _x72), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x101))), _x42), _x22), X2)) → f#(f(f(n__g(n__g(g(_x101))), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x111, _x102)))), _x52), _x22), X2)) → f#(f(n__f(g(g(g(f(_x111, _x102)))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x121, _x132), _x102), _x82), _x72))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(n__f(f(f(n__f(activate(_x121), _x132), _x102), _x82), _x72))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x122), _x102), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(f(activate(_x121), _x122), _x102), _x92), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x121, _x122)), _x132), _x102), _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(f(n__f(g(f(activate(_x121), _x122)), _x132), _x102), _x92), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__g(n__f(n__f(_x61, _x62), _x42)), _x32), X2)) → f#(n__f(n__g(n__f(f(activate(_x61), _x62), _x42)), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x92), _x132), _x102), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(n__f(f(activate(_x91), _x92), _x132), _x102), _x92), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x111), _x132), _x102), _x92), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(n__f(f(n__f(g(activate(_x111)), _x132), _x102), _x92), _x72), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x102), _x72), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(f(_x91, _x102), _x72), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__g(n__f(_x81, _x52)), _x22), X2)) → f#(f(n__g(n__f(_x81, _x52)), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x91), _x92))), _x42), _x22), X2)) → f#(f(f(n__g(n__g(f(n__g(_x91), _x92))), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(_x81, _x82), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(g(n__g(f(f(activate(_x81), _x82), _x92))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x132), _x102), _x62), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(n__f(_x91, _x132), _x102), _x62), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__g(n__f(_x51, _x52)), _x32), X2)) → f#(n__f(g(f(activate(_x51), _x52)), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(g(_x72), _x71))), _x52), _x22), X2)) → f#(f(n__f(g(n__g(f(_x72, n__f(n__g(_x72), activate(_x71))))), _x52), _x22), X2)activate#(n__f(n__f(n__f(_x51, _x42), _x32), X2)) → f#(n__f(f(_x51, _x42), _x32), X2)
activate#(n__f(n__f(n__g(n__f(n__g(n__f(n__g(_x101), _x92)), _x52)), _x22), X2)) → f#(f(n__g(n__f(g(f(g(activate(_x101)), _x92)), _x52)), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x101))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(g(_x101))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x92), _x82), _x82), _x72), _x42), _x22), X2)) → f#(f(f(n__f(f(n__f(f(activate(_x91), _x92), _x82), _x82), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x122), _x102), _x82), _x72), _x42), _x22), X2)) → f#(f(f(n__f(f(f(f(activate(_x121), _x122), _x102), _x82), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x81, _x132), _x102), _x82), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(f(f(n__f(_x81, _x132), _x102), _x82), _x62), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x71), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(g(n__g(f(g(activate(_x71)), _x92))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(_x81)), _x51), _x22), X2)) → f#(f(f(n__g(activate(_x81)), n__f(n__g(n__g(activate(_x81))), activate(_x51))), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(_x81)), _x51), _x22), X2)) → f#(f(f(g(activate(_x81)), n__f(n__g(g(activate(_x81))), activate(_x51))), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__g(_x111), _x82), _x72))), _x52), _x22), X2)) → f#(f(n__f(g(n__g(n__f(f(g(activate(_x111)), _x82), _x72))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x81), _x62))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(n__f(g(_x81), _x62))), _x42), _x32), X2)
f#(g(X), Y) → activate#(Y)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x101)), _x102), _x52), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(g(g(activate(_x101))), _x102), _x52), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(_x151), _x132), _x112), _x82), _x72))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(n__f(f(n__f(n__f(g(activate(_x151)), _x132), _x112), _x82), _x72))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x121, _x102), _x102), _x72), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(f(n__f(f(n__f(activate(_x121), _x102), _x102), _x72), _x92))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x91), _x132), _x102), _x52), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(n__f(g(activate(_x91)), _x132), _x102), _x52), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x82), _x82), _x72), _x42), _x22), X2)) → f#(f(f(n__f(f(n__f(activate(_x101), _x82), _x82), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x91, _x62))), _x52), _x32), X2)) → f#(n__f(n__f(g(n__g(n__f(activate(_x91), _x62))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x91), _x92), _x72), _x52), _x22), X2)) → f#(f(n__f(n__f(n__f(g(activate(_x91)), _x92), _x72), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x131)), _x132), _x102), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(n__f(g(g(activate(_x131))), _x132), _x102), _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x111)), _x112), _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(f(n__g(g(activate(_x111))), _x112), _x92), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x61), _x92), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(g(activate(_x61)), _x92), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x91, _x72))), _x52), _x22), X2)) → f#(f(n__f(n__g(g(n__f(activate(_x91), _x72))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x91), _x102), _x82), _x62), _x32), _x32), X2)) → f#(n__f(n__f(f(f(f(n__g(_x91), _x102), _x82), _x62), _x32), _x32), X2)activate#(n__f(n__f(n__f(n__f(_x61, _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(activate(_x61), _x62), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(g(activate(_x101)), _x82), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x121), _x112), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(n__g(_x121), _x112), _x92), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x81, _x62), _x82), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(f(n__f(_x81, _x62), _x82), _x72), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x61), _x82), _x62), _x32), _x32), X2)) → f#(n__f(n__f(f(f(n__g(activate(_x61)), _x82), _x62), _x32), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x81), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(g(_x81), _x82), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x121), _x112), _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(f(g(_x121), _x112), _x92), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(f(activate(_x81), _x82), _x62), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x102), _x102), _x82), _x72), _x42), _x22), X2)) → f#(f(f(n__f(f(f(n__f(activate(_x91), _x102), _x102), _x82), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__g(n__f(n__f(n__f(_x101, _x102), _x72), _x52)), _x22), X2)) → f#(f(n__g(n__f(n__f(f(activate(_x101), _x102), _x72), _x52)), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(_x151), _x132), _x102), _x92), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(n__f(f(n__f(g(activate(_x151)), _x132), _x102), _x92), _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x101), _x92))), _x42), _x22), X2)) → f#(f(f(n__g(n__g(f(g(activate(_x101)), _x92))), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x82), _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(n__f(n__g(activate(_x101)), _x82), _x92), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x102), _x82), _x62), _x32), _x32), X2)) → f#(n__f(n__f(f(f(f(n__f(activate(_x121), _x132), _x102), _x82), _x62), _x32), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x91), _x62), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(n__f(n__g(_x91), _x62), _x82), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x101), _x92))), _x42), _x22), X2)) → f#(f(f(g(n__g(f(n__g(activate(_x101)), _x92))), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x121), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(g(_x121), _x82), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(_x141), _x132), _x102), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(f(f(n__f(g(_x141), _x132), _x102), _x82), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(_x111, _x82), _x72))), _x52), _x22), X2)) → f#(f(n__f(g(n__g(n__f(f(_x111, _x82), _x72))), _x52), _x22), X2)
activate#(n__f(n__f(n__g(n__f(n__g(n__g(_x91)), _x52)), _x22), X2)) → f#(f(n__g(n__f(n__g(g(activate(_x91))), _x52)), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x112), _x92), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(n__f(f(n__g(activate(_x101)), _x112), _x92), _x72), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x92), _x52), _x52), _x22), X2)) → f#(f(n__f(n__f(n__f(activate(_x81), _x92), _x52), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x102), _x82), _x72), _x42), _x22), X2)) → f#(f(f(n__f(f(f(n__f(activate(_x121), _x132), _x102), _x82), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__g(n__f(n__f(_x81, _x72), _x52)), _x32), X2)) → f#(n__f(n__g(n__f(n__f(activate(_x81), _x72), _x52)), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x121, _x122), _x112), _x82), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(f(n__f(f(activate(_x121), _x122), _x112), _x82), _x62))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(n__g(_x131), _x142), _x122), _x112), _x82), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(f(n__f(f(f(g(activate(_x131)), _x142), _x122), _x112), _x82), _x62))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x62), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(n__f(activate(_x101), _x62), _x82), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__g(n__g(n__g(_x71))), _x22), X2)) → f#(f(g(n__g(g(activate(_x71)))), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x121, _x122), _x92), _x72), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(f(n__f(n__f(f(activate(_x121), _x122), _x92), _x72), _x92))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(_x101, _x112), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(g(f(f(n__f(activate(_x101), _x112), _x82), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(_x111, _x112), _x122), _x92), _x92), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(n__f(n__f(f(f(activate(_x111), _x112), _x122), _x92), _x92), _x62))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x132), _x102), _x82), _x42), _x52), _x32), X2)) → f#(n__f(n__f(n__f(f(f(n__f(_x91, _x132), _x102), _x82), _x42), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x121, _x122)), _x112), _x92), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(n__g(f(activate(_x121), _x122)), _x112), _x92), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x71), _x62), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(n__f(n__g(activate(_x71)), _x62), _x82), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x72), _x52), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(n__f(activate(_x101), _x72), _x52), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x101, _x92))), _x51), _x22), X2)) → f#(f(f(n__g(f(_x101, _x92)), n__f(n__g(n__g(f(_x101, _x92))), activate(_x51))), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x121, _x102), _x102), _x92), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(n__f(f(n__f(activate(_x121), _x102), _x102), _x92), _x62))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x121, _x132), _x102), _x82), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(n__f(f(f(n__f(activate(_x121), _x132), _x102), _x82), _x62))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(n__g(n__g(_x121)))), _x62), _x82), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(f(n__f(g(g(g(g(activate(_x121))))), _x62), _x82), _x72), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x102), _x52), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(g(_x101), _x102), _x52), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x121, _x122)), _x112), _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(f(n__g(f(activate(_x121), _x122)), _x112), _x92), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x81), _x132), _x102), _x52), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(n__f(f(n__f(g(activate(_x81)), _x132), _x102), _x52), _x62), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x91), _x82))), _x42), _x22), X2)) → f#(f(f(g(n__g(n__f(n__g(_x91), _x82))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x61), _x92), activate(_x101)), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(activate(_x101), n__f(n__g(activate(_x101)), activate(_x61))), _x92), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x111), _x132), _x102), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(n__f(g(activate(_x111)), _x132), _x102), _x92), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x132), _x102), _x82), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(f(f(n__f(g(_x101), _x132), _x102), _x82), _x62), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x91), _x102), _x82), _x42), _x42), _x32), X2)) → f#(n__f(f(n__f(f(f(n__g(_x91), _x102), _x82), _x42), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x72), _x82), _x62), _x52), _x22), X2)) → f#(f(n__f(f(f(n__f(activate(_x101), _x72), _x82), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x91), _x81), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(activate(_x91), n__f(n__g(activate(_x91)), activate(_x81))), _x92), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x101)), _x132), _x102), _x82), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(f(f(n__f(g(g(activate(_x101))), _x132), _x102), _x82), _x62), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x102), _x82), _x62), _x52), _x22), X2)) → f#(f(n__f(f(f(f(f(activate(_x81), _x82), _x102), _x82), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x141, _x122), _x102), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(g(f(f(f(f(_x141, _x122), _x102), _x82), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__g(_x31), _x32), X2)) → f#(n__f(n__g(_x31), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x101, _x102)))), _x51), _x22), X2)) → f#(f(f(g(g(f(activate(_x101), _x102))), n__f(n__g(g(g(f(activate(_x101), _x102)))), activate(_x51))), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x111, _x132), _x102), _x92), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(n__f(f(n__f(_x111, _x132), _x102), _x92), _x72), _x42), _x32), X2)
activate#(n__f(n__f(n__f(_x41, _x32), _x32), X2)) → f#(n__f(n__f(activate(_x41), _x32), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x62), _x92), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(n__f(g(activate(_x101)), _x62), _x92), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(_x151), _x132), _x112), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(f(n__f(n__f(n__g(activate(_x151)), _x132), _x112), _x82), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x101)), _x62), _x82), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(f(n__f(n__g(g(activate(_x101))), _x62), _x82), _x72), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x121), _x92), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(n__f(g(_x121), _x92), _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x132), _x102), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(f(n__f(f(activate(_x81), _x82), _x132), _x102), _x82), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__g(n__f(n__f(_x71, _x62), _x52)), _x32), X2)) → f#(n__f(n__g(f(f(_x71, _x62), _x52)), _x32), X2)activate#(n__f(n__f(n__g(n__f(_x51, _x52)), _x32), X2)) → f#(n__f(n__g(n__f(_x51, _x52)), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x61), _x82), _x42), _x42), _x32), X2)) → f#(n__f(f(n__f(f(g(activate(_x61)), _x82), _x42), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x132), _x72), _x82), _x52), _x52), _x22), X2)) → f#(f(n__f(n__f(f(n__f(n__f(_x91, _x132), _x72), _x82), _x52), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x71, _x52), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(_x71, _x52), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__g(_x51), _x62), _x42), _x32), X2)) → f#(n__f(f(f(g(activate(_x51)), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x62), _x61))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(_x62, n__f(n__g(_x62), activate(_x61))))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x81), _x132), _x102), _x82), _x42), _x52), _x32), X2)) → f#(n__f(n__f(n__f(f(f(n__f(g(activate(_x81)), _x132), _x102), _x82), _x42), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x102), _x112), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(f(activate(_x101), _x102), _x112), _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x91), _x132), _x72), _x82), _x42), _x52), _x32), X2)) → f#(n__f(n__f(n__f(f(n__f(n__f(g(activate(_x91)), _x132), _x72), _x82), _x42), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x72), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(n__f(n__g(activate(_x101)), _x72), _x92), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x71), _x82), _x62), _x52), _x22), X2)) → f#(f(n__f(f(f(g(activate(_x71)), _x82), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(_x61), _x52), _x32), X2)) → f#(n__f(n__f(g(activate(_x61)), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x112), _x92), _x62), _x32), _x32), X2)) → f#(n__f(n__f(f(n__f(f(g(activate(_x101)), _x112), _x92), _x62), _x32), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x91), _x112), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(n__g(_x91), _x112), _x92), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x151, _x152), _x132), _x102), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(f(n__f(f(activate(_x151), _x152), _x132), _x102), _x82), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(_x81, _x92), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(g(f(n__f(activate(_x81), _x92), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x71, _x102), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(f(_x71, _x102), _x82), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(_x141, _x152), _x122), _x102), _x82), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(f(f(f(n__f(activate(_x141), _x152), _x122), _x102), _x82), _x62))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x91), _x72), _x92), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(n__f(f(g(activate(_x91)), _x72), _x92), _x62), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x101, _x102)), _x62), _x82), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(f(n__f(g(f(activate(_x101), _x102)), _x62), _x82), _x72), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(n__g(_x111))), _x62), _x82), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(f(n__f(g(n__g(g(activate(_x111)))), _x62), _x82), _x72), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x81), _x92))), _x42), _x32), X2)) → f#(n__f(f(n__g(n__g(f(g(_x81), _x92))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x151, _x132), _x102), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(f(n__f(_x151, _x132), _x102), _x82), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__g(n__f(n__g(_x81), _x52)), _x22), X2)) → f#(f(n__g(n__f(n__g(activate(_x81)), _x52)), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x121)), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(g(g(activate(_x121))), _x82), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(n__f(_x111, _x112))), _x62), _x82), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(f(n__f(g(g(f(activate(_x111), _x112))), _x62), _x82), _x72), _x42), _x32), X2)activate#(n__f(n__f(n__g(n__f(n__g(n__f(_x91, _x92)), _x52)), _x22), X2)) → f#(f(n__g(n__f(n__g(f(activate(_x91), _x92)), _x52)), _x22), X2)
activate#(n__f(n__f(n__f(n__f(_x61, _x42), _x42), _x32), X2)) → f#(n__f(f(n__f(activate(_x61), _x42), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x121, _x122), _x102), _x82), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(n__f(f(f(f(activate(_x121), _x122), _x102), _x82), _x62))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x91, _x92))), _x42), _x22), X2)) → f#(f(f(n__g(n__g(f(activate(_x91), _x92))), _x42), _x22), X2)activate#(n__f(n__f(n__f(_x41, _x52), _x22), X2)) → f#(f(n__f(activate(_x41), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(_x61, _x72), _x42), _x22), X2)) → f#(f(f(n__f(activate(_x61), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x61, _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(_x61, _x82), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x81), _x72), _x52), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(n__f(g(activate(_x81)), _x72), _x52), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x101))), _x52), _x22), X2)) → f#(f(n__f(g(g(g(_x101))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x121, _x122), _x102), _x72), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(f(n__f(f(f(activate(_x121), _x122), _x102), _x72), _x92))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x92), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(n__f(activate(_x81), _x92), _x72), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(n__g(_x121))), _x62), _x82), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(f(n__f(g(g(g(_x121))), _x62), _x82), _x72), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x101)), _x62), _x52), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(n__f(n__f(g(g(activate(_x101))), _x62), _x52), _x72), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x101, _x102)), _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(g(f(activate(_x101), _x102)), _x92), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__g(n__g(n__f(_x71, _x72))), _x22), X2)) → f#(f(g(n__g(f(activate(_x71), _x72))), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x91), _x102), _x52), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(n__g(_x91), _x102), _x52), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x121, _x122), _x112), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(f(n__f(f(activate(_x121), _x122), _x112), _x82), _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x81), _x62), _x82), _x72), _x32), _x32), X2)) → f#(n__f(n__f(n__f(f(n__f(g(activate(_x81)), _x62), _x82), _x72), _x32), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(_x141, _x122), _x122), _x112), _x82), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(f(n__f(f(n__f(activate(_x141), _x122), _x122), _x112), _x82), _x62))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x111), _x132), _x82), _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(n__f(n__f(g(activate(_x111)), _x132), _x82), _x92), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(_x71, _x62), _x52), _x22), X2)) → f#(f(n__f(f(_x71, _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x92), _x42), _x52), _x32), X2)) → f#(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x92), _x42), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x81), _x102), _x52), _x62), _x32), _x32), X2)) → f#(n__f(n__f(f(n__f(f(g(activate(_x81)), _x102), _x52), _x62), _x32), _x32), X2)
activate#(n__f(n__f(n__f(g(_x52), _x51), _x22), X2)) → f#(f(f(_x52, n__f(n__g(_x52), activate(_x51))), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x102), _x52), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(n__f(f(activate(_x101), _x102), _x52), _x72), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x62), _x92), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(n__f(n__f(activate(_x121), _x132), _x62), _x92), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x71), _x61), _x82), activate(_x71)), _x42), _x32), X2)) → f#(n__f(f(f(f(f(activate(_x71), n__f(n__g(activate(_x71)), activate(_x61))), _x82), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__g(_x41), _x32), X2)) → f#(n__f(n__g(activate(_x41)), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x111), _x72), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(g(_x111), _x72), _x92), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x81), _x92))), _x52), _x22), X2)) → f#(f(n__f(g(n__g(f(g(activate(_x81)), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x91))), _x42), _x32), X2)) → f#(n__f(f(g(g(g(activate(_x91)))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x81, _x82))), _x42), _x22), X2)) → f#(f(f(g(n__g(n__f(_x81, _x82))), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x121), _x112), _x92), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(g(_x121), _x112), _x92), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x102), _x52), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(f(activate(_x81), _x82), _x102), _x52), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x91), _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(n__g(activate(_x91)), _x92), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x91, _x92))), _x51), _x22), X2)) → f#(f(f(n__g(f(activate(_x91), _x92)), n__f(n__g(n__g(f(activate(_x91), _x92))), activate(_x51))), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x91), _x132), _x102), _x82), _x62), _x52), _x22), X2)) → f#(f(n__f(f(f(f(n__f(g(activate(_x91)), _x132), _x102), _x82), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(_x131, _x112), _x122), _x102), _x92), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(n__f(f(f(f(_x131, _x112), _x122), _x102), _x92), _x62))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x52), _x52), _x22), X2)) → f#(f(n__f(n__f(f(activate(_x81), _x82), _x52), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x71), _x102), _x82), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(f(f(g(activate(_x71)), _x102), _x82), _x72), _x42), _x32), X2)activate#(n__f(n__f(g(_x32), _x31), X2)) → f#(f(_x32, n__f(n__g(_x32), activate(_x31))), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x91, _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(_x91, _x92), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x81, _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(_x81, _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x82), _x92), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(n__f(n__f(f(activate(_x81), _x82), _x82), _x92), _x62), _x52), _x32), X2)activate#(n__f(n__f(n__g(n__f(n__f(_x101, _x72), _x52)), _x22), X2)) → f#(f(n__g(n__f(n__f(_x101, _x72), _x52)), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x71), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(n__g(_x71), _x92))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x81)), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(g(g(activate(_x81))), _x82), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x111, _x92), _x132), _x72), _x82), _x42), _x52), _x32), X2)) → f#(n__f(n__f(n__f(f(n__f(n__f(f(_x111, _x92), _x132), _x72), _x82), _x42), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x91))), _x42), _x22), X2)) → f#(f(f(n__g(g(g(activate(_x91)))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(_x101, _x102), _x92), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(g(f(n__f(f(activate(_x101), _x102), _x92), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x101), _x92))), _x51), _x22), X2)) → f#(f(f(n__g(f(g(activate(_x101)), _x92)), n__f(n__g(n__g(f(g(activate(_x101)), _x92))), activate(_x51))), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x111, _x112), _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(f(activate(_x111), _x112), _x92), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x121, _x122), _x102), _x72), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(n__f(f(f(activate(_x121), _x122), _x102), _x72), _x62))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x111, _x132), _x102), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(n__f(_x111, _x132), _x102), _x92), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x112), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(n__f(n__f(activate(_x121), _x132), _x112), _x82), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(_x71)), _x52), _x22), X2)) → f#(f(n__f(g(g(activate(_x71))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(_x161, _x142), _x122), _x102), _x82), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(f(f(f(f(_x161, _x142), _x122), _x102), _x82), _x62))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x102), _x82), _x52), _x52), _x22), X2)) → f#(f(n__f(n__f(f(f(activate(_x101), _x102), _x82), _x52), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x112), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(n__f(activate(_x101), _x112), _x82), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x132), _x102), _x92), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(n__f(f(activate(_x81), _x82), _x132), _x102), _x92), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x121, _x122), _x102), _x92), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(n__f(n__f(f(f(activate(_x121), _x122), _x102), _x92), _x62))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x71, _x72), _x92), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(n__f(f(activate(_x71), _x72), _x92), _x62), _x52), _x32), X2)activate#(n__f(n__f(n__g(n__f(n__g(n__f(_x101, _x92)), _x52)), _x22), X2)) → f#(f(n__g(n__f(g(f(_x101, _x92)), _x52)), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x91, _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(activate(_x91), _x92))), _x42), _x32), X2)activate#(n__f(n__f(n__g(n__f(_x41, _x42)), _x32), X2)) → f#(n__f(n__g(n__f(_x41, _x42)), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x72), _x52), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(n__f(n__f(activate(_x121), _x132), _x72), _x52), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x111), _x112), _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(f(n__g(_x111), _x112), _x92), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x62), _x82), _x72), _x32), _x32), X2)) → f#(n__f(n__f(n__f(f(n__f(activate(_x101), _x62), _x82), _x72), _x32), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x92), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(n__f(activate(_x81), _x92), _x62), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x111, _x102)))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(g(f(_x111, _x102)))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x101, _x102)), _x132), _x102), _x82), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(f(f(n__f(g(f(activate(_x101), _x102)), _x132), _x102), _x82), _x62), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x92), _x91), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(_x92, n__f(n__g(_x92), activate(_x91))), _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x62), _x82), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(f(n__f(f(activate(_x81), _x82), _x62), _x82), _x72), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(n__g(_x111))), _x62), _x82), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(f(n__f(n__g(g(g(activate(_x111)))), _x62), _x82), _x72), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x111), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(g(_x111), _x92))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(_x111, _x112), _x122), _x102), _x72), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(f(n__f(f(f(f(activate(_x111), _x112), _x122), _x102), _x72), _x92))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x141, _x122), _x102), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(f(f(_x141, _x122), _x102), _x82), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x102), _x82), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(f(f(_x91, _x102), _x82), _x72), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x121, _x122)))), _x62), _x82), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(f(n__f(g(g(g(f(activate(_x121), _x122)))), _x62), _x82), _x72), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x111, _x112)), _x72), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(g(f(activate(_x111), _x112)), _x72), _x92), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__f(_x51, _x52)), _x52), _x32), X2)) → f#(n__f(n__f(n__g(f(activate(_x51), _x52)), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x62), _x82), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(f(n__f(g(_x101), _x62), _x82), _x72), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x112), _x92), _x52), _x52), _x22), X2)) → f#(f(n__f(n__f(n__f(f(n__g(activate(_x101)), _x112), _x92), _x52), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x101))), _x42), _x22), X2)) → f#(f(f(n__g(g(g(_x101))), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x91, _x92)), _x112), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(n__g(f(activate(_x91), _x92)), _x112), _x92), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x61), _x82), _x42), _x42), _x32), X2)) → f#(n__f(f(n__f(f(n__g(activate(_x61)), _x82), _x42), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x81), _x132), _x102), _x82), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(f(f(n__f(n__g(activate(_x81)), _x132), _x102), _x82), _x62), _x52), _x32), X2)
activate#(n__f(n__f(n__g(n__f(_x61, _x62)), _x32), X2)) → f#(n__f(n__g(f(activate(_x61), _x62)), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(_x81)), _x52), _x22), X2)) → f#(f(n__f(g(g(activate(_x81))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x111, _x122), _x102), _x72), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(f(n__f(f(f(_x111, _x122), _x102), _x72), _x92))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x91)), _x112), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(n__g(g(activate(_x91))), _x112), _x92), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(_x101, _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(g(n__g(f(f(_x101, _x82), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x121, _x112)), _x112), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(n__g(n__f(activate(_x121), _x112)), _x112), _x92), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__g(_x41), _x32), X2)) → f#(n__f(n__g(_x41), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x101), _x92))), _x31), n__g(f(g(activate(_x101)), _x92))), X2)) → f#(n__f(f(n__g(f(g(activate(_x101)), _x92)), n__f(n__g(n__g(f(g(activate(_x101)), _x92))), activate(_x31))), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x71, _x82), _x62), _x52), _x22), X2)) → f#(f(n__f(f(f(_x71, _x82), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x111), _x132), _x102), _x92), _x72), _x52), _x22), X2)) → f#(f(n__f(n__f(n__f(f(n__f(g(activate(_x111)), _x132), _x102), _x92), _x72), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x121, _x122)), _x112), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(g(f(activate(_x121), _x122)), _x112), _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__g(n__g(_x71)), _x22), X2)) → f#(f(g(g(_x71)), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x92), _x102), _x82), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(f(f(f(activate(_x91), _x92), _x102), _x82), _x72), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x91, _x92)), _x102), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(f(n__g(f(activate(_x91), _x92)), _x102), _x82), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x121, _x122), _x82), _x82), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(f(f(n__f(f(activate(_x121), _x122), _x82), _x82), _x92))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x82), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(n__f(_x101, _x82), _x92), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x62), _x52), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(n__f(n__f(activate(_x101), _x62), _x52), _x72), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x71), _x102), _x52), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(n__g(activate(_x71)), _x102), _x52), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__g(_x121), _x102), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(g(f(f(f(g(activate(_x121)), _x102), _x82), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x101))), _x51), _x22), X2)) → f#(f(f(g(g(_x101)), n__f(n__g(g(g(_x101))), activate(_x51))), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x92), _x42), _x42), _x32), X2)) → f#(n__f(f(n__f(n__f(activate(_x81), _x92), _x42), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x132), _x102), _x52), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(n__f(_x91, _x132), _x102), _x52), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x91))), _x51), _x22), X2)) → f#(f(f(g(g(activate(_x91))), n__f(n__g(g(g(activate(_x91)))), activate(_x51))), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__g(_x101)))), _x42), _x22), X2)) → f#(f(f(g(g(g(g(activate(_x101))))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x91), _x102), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(f(g(_x91), _x102), _x82), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x71), _x102), _x82), _x42), _x42), _x32), X2)) → f#(n__f(f(n__f(f(f(n__g(activate(_x71)), _x102), _x82), _x42), _x42), _x32), X2)
activate#(n__f(n__f(_x21, _x32), X2)) → f#(n__f(activate(_x21), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(_x141, _x142), _x122), _x102), _x82), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(n__f(f(f(f(f(activate(_x141), _x142), _x122), _x102), _x82), _x62))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x81), _x102), _x82), _x62), _x52), _x22), X2)) → f#(f(n__f(f(f(f(g(activate(_x81)), _x102), _x82), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x81, _x82)), _x112), _x92), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(g(f(activate(_x81), _x82)), _x112), _x92), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x111, _x112), _x92), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(activate(_x111), _x112), _x92), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x131, _x122)), _x112), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(n__g(f(_x131, _x122)), _x112), _x92), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(_x101), _x122), _x102), _x82), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(f(f(f(f(g(activate(_x101)), _x122), _x102), _x82), _x92))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x101), _x81))), _x42), _x22), X2)) → f#(f(f(g(n__g(f(activate(_x101), n__f(n__g(activate(_x101)), activate(_x81))))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(_x81, _x82)), _x92))), _x42), _x32), X2)) → f#(n__f(f(n__g(n__g(f(g(f(activate(_x81), _x82)), _x92))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x141), _x122), _x102), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(f(f(g(activate(_x141)), _x122), _x102), _x82), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x91), _x92), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(n__f(g(activate(_x91)), _x92), _x72), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x121), _x132), _x102), _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(f(n__f(g(_x121), _x132), _x102), _x92), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__g(n__f(_x51, _x42)), _x32), X2)) → f#(n__f(n__g(n__f(activate(_x51), _x42)), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(_x111, _x112), _x102), _x102), _x92), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(n__f(f(n__f(f(activate(_x111), _x112), _x102), _x102), _x92), _x62))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x121, _x92), _x102), _x82), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(f(f(f(n__f(activate(_x121), _x92), _x102), _x82), _x92))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(g(_x92), _x91)))), _x42), _x22), X2)) → f#(f(f(g(g(g(f(_x92, n__f(n__g(_x92), activate(_x91)))))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x121), _x112), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(g(_x121), _x112), _x92), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x71), _x62), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(n__f(g(activate(_x71)), _x62), _x82), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x111, _x92), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(n__f(activate(_x111), _x92), _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x111), _x132), _x92), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(n__f(n__f(g(activate(_x111)), _x132), _x92), _x92), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x61, _x62), _x92), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(activate(_x61), _x62), _x92), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__g(n__g(_x71)), _x22), X2)) → f#(f(g(n__g(_x71)), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x112), _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(f(g(activate(_x101)), _x112), _x92), _x72), _x42), _x22), X2)activate#(n__f(_x21, X2)) → f#(_x21, X2)
activate#(n__f(n__f(n__g(n__g(_x61)), _x31), X2)) → f#(f(g(activate(_x61)), n__f(n__g(g(activate(_x61))), activate(_x31))), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x81, _x102), _x52), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(_x81, _x102), _x52), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(_x81, _x82), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(f(f(activate(_x81), _x82), _x92))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x71, _x72), _x102), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(f(f(activate(_x71), _x72), _x102), _x82), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(n__g(_x131), _x112), _x122), _x102), _x92), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(n__f(f(f(f(g(activate(_x131)), _x112), _x122), _x102), _x92), _x62))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x91, _x92))), _x42), _x32), X2)) → f#(n__f(f(n__g(g(f(activate(_x91), _x92))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x42), _x42), _x32), X2)) → f#(n__f(f(n__f(f(activate(_x81), _x82), _x42), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x121, _x132), _x112), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(f(n__f(n__f(activate(_x121), _x132), _x112), _x82), _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__g(n__f(n__f(_x61, _x52), _x52)), _x32), X2)) → f#(n__f(n__g(f(n__f(activate(_x61), _x52), _x52)), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x101)), _x62), _x82), _x72), _x32), _x32), X2)) → f#(n__f(n__f(n__f(f(n__f(g(g(activate(_x101))), _x62), _x82), _x72), _x32), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x61), _x52), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(n__g(activate(_x61)), _x52), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x111)), _x62), _x82), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(f(n__f(g(g(_x111)), _x62), _x82), _x72), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x102), _x82), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(f(f(activate(_x101), _x102), _x82), _x62), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x101), _x82))), _x42), _x22), X2)) → f#(f(f(g(n__g(n__f(g(activate(_x101)), _x82))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x101), _x92))), _x32), _x32), X2)) → f#(n__f(n__f(g(n__g(f(g(activate(_x101)), _x92))), _x32), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x71), _x52), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(g(activate(_x71)), _x52), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__g(n__f(n__f(n__g(_x71), _x62), _x52)), _x32), X2)) → f#(n__f(n__g(f(f(g(activate(_x71)), _x62), _x52)), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x131), _x132), _x102), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(n__f(g(_x131), _x132), _x102), _x92), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x81), _x132), _x102), _x92), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(n__f(g(activate(_x81)), _x132), _x102), _x92), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x111, _x102)))), _x31), g(g(f(_x111, _x102)))), X2)) → f#(n__f(f(g(g(f(_x111, _x102))), n__f(n__g(g(g(f(_x111, _x102)))), activate(_x31))), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x141, _x122), _x102), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(f(f(f(_x141, _x122), _x102), _x82), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x111, _x102)))), _x32), _x32), X2)) → f#(n__f(n__f(g(g(g(f(_x111, _x102)))), _x32), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(_x81, _x82), _x72))), _x52), _x32), X2)) → f#(n__f(n__f(g(n__g(n__f(f(activate(_x81), _x82), _x72))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(_x81)), _x42), _x32), X2)) → f#(n__f(f(g(g(activate(_x81))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x102), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(f(_x121, _x102), _x82), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x141, _x142), _x122), _x102), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(f(f(f(activate(_x141), _x142), _x122), _x102), _x82), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__g(n__f(n__f(_x71, _x72), _x62)), _x22), X2)) → f#(f(n__g(f(f(activate(_x71), _x72), _x62)), _x22), X2)activate#(n__f(n__f(n__g(n__f(n__g(n__g(_x91)), _x52)), _x32), X2)) → f#(n__f(n__g(n__f(g(g(activate(_x91))), _x52)), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(_x151), _x132), _x102), _x82), _x72))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(n__f(f(f(n__f(g(activate(_x151)), _x132), _x102), _x82), _x72))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x102), _x92), _x42), _x42), _x32), X2)) → f#(n__f(f(n__f(n__f(f(n__f(activate(_x121), _x132), _x102), _x92), _x42), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x81), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(g(f(g(activate(_x81)), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(n__g(_x111), _x102)))), _x42), _x22), X2)) → f#(f(f(g(g(g(f(g(activate(_x111)), _x102)))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x61), _x51), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(activate(_x61), n__f(n__g(activate(_x61)), activate(_x51))), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x81), _x132), _x102), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(f(n__f(g(activate(_x81)), _x132), _x102), _x82), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x111, _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(_x111, _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x81))), _x42), _x22), X2)) → f#(f(f(n__g(n__g(n__g(_x81))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(_x91)), _x42), _x22), X2)) → f#(f(f(g(g(_x91)), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(_x81)), _x52), _x22), X2)) → f#(f(n__f(g(n__g(activate(_x81))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(_x51), _x42), _x32), X2)) → f#(n__f(f(g(_x51), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x91), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(n__g(_x91), _x92))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x111), _x132), _x102), _x92), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(n__f(g(activate(_x111)), _x132), _x102), _x92), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(_x151), _x132), _x102), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(f(f(n__f(n__g(activate(_x151)), _x132), _x102), _x82), _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(g(_x82), _x81), _x82), _x72), _x42), _x22), X2)) → f#(f(f(n__f(f(f(_x82, n__f(n__g(_x82), activate(_x81))), _x82), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(_x141), _x122), _x102), _x82), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(f(f(f(g(activate(_x141)), _x122), _x102), _x82), _x62))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(_x81, _x82), _x72))), _x52), _x22), X2)) → f#(f(n__f(n__g(g(n__f(f(activate(_x81), _x82), _x72))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x111, _x112), _x132), _x102), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(n__f(f(activate(_x111), _x112), _x132), _x102), _x92), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x101), _x62))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(n__f(g(activate(_x101)), _x62))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x101)), _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(g(g(activate(_x101))), _x92), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(_x61, _x62), _x32), _x32), X2)) → f#(n__f(n__f(f(activate(_x61), _x62), _x32), _x32), X2)activate#(n__f(n__f(n__g(n__f(_x61, _x52)), _x32), X2)) → f#(n__f(n__g(f(_x61, _x52)), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x71, _x52), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(_x71, _x52), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x91), _x82), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(n__f(g(activate(_x91)), _x82), _x92), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(_x101, _x102), _x92))), _x42), _x22), X2)) → f#(f(f(n__g(g(f(f(activate(_x101), _x102), _x92))), _x42), _x22), X2)activate#(n__f(n__f(n__g(n__f(n__f(n__f(_x91, _x92), _x82), _x52)), _x22), X2)) → f#(f(n__g(n__f(f(f(activate(_x91), _x92), _x82), _x52)), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(n__f(_x131, _x132)), _x132), _x112), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(f(n__f(n__f(g(f(activate(_x131), _x132)), _x132), _x112), _x82), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(g(_x82), _x81))), _x42), _x22), X2)) → f#(f(f(g(n__g(f(_x82, n__f(n__g(_x82), activate(_x81))))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x82), _x92), _x42), _x52), _x32), X2)) → f#(n__f(n__f(n__f(n__f(n__f(g(activate(_x101)), _x82), _x92), _x42), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(_x101, _x102), _x122), _x102), _x82), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(f(f(f(f(f(activate(_x101), _x102), _x122), _x102), _x82), _x92))), _x52), _x32), X2)
activate#(n__f(n__f(n__g(n__f(n__f(_x51, _x52), _x52)), _x32), X2)) → f#(n__f(n__g(n__f(f(activate(_x51), _x52), _x52)), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x71), _x52), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(g(activate(_x71)), _x52), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__f(_x71, _x72)), _x52), _x22), X2)) → f#(f(n__f(g(f(activate(_x71), _x72)), _x52), _x22), X2)activate#(n__f(n__f(n__g(n__f(n__g(_x61), _x52)), _x32), X2)) → f#(n__f(n__g(f(g(activate(_x61)), _x52)), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x111, _x112), _x92), _x132), _x102), _x82), _x42), _x52), _x32), X2)) → f#(n__f(n__f(n__f(f(f(n__f(f(f(activate(_x111), _x112), _x92), _x132), _x102), _x82), _x42), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x91), _x132), _x102), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(n__f(g(activate(_x91)), _x132), _x102), _x92), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x91), _x132), _x102), _x82), _x42), _x52), _x32), X2)) → f#(n__f(n__f(n__f(f(f(n__f(n__g(activate(_x91)), _x132), _x102), _x82), _x42), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(_x71), _x52), _x32), X2)) → f#(n__f(n__f(n__g(_x71), _x52), _x32), X2)
activate#(n__f(n__f(n__g(n__f(g(_x42), _x41)), _x32), X2)) → f#(n__f(n__g(f(_x42, n__f(n__g(_x42), activate(_x41)))), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x91))), _x42), _x22), X2)) → f#(f(f(g(n__g(g(activate(_x91)))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(_x111), _x122), _x102), _x72), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(f(n__f(f(f(g(activate(_x111)), _x122), _x102), _x72), _x92))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(_x51), _x42), _x32), X2)) → f#(n__f(f(g(activate(_x51)), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x102), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(activate(_x101), _x102), _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x151, _x132), _x102), _x82), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(n__f(f(f(n__f(_x151, _x132), _x102), _x82), _x62))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x92), _x102), _x82), _x72), _x52), _x22), X2)) → f#(f(n__f(n__f(f(f(f(activate(_x91), _x92), _x102), _x82), _x72), _x52), _x22), X2)activate#(n__f(n__f(n__g(n__f(n__g(n__f(n__f(_x101, _x102), _x92)), _x52)), _x22), X2)) → f#(f(n__g(n__f(g(f(f(activate(_x101), _x102), _x92)), _x52)), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x102), _x92), _x62), _x32), _x32), X2)) → f#(n__f(n__f(f(n__f(f(n__f(activate(_x121), _x132), _x102), _x92), _x62), _x32), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(_x81, _x92)), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(g(n__f(activate(_x81), _x92)), _x92))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x82), _x92), _x42), _x52), _x32), X2)) → f#(n__f(n__f(n__f(n__f(n__f(_x101, _x82), _x92), _x42), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__g(_x101), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(g(f(f(g(activate(_x101)), _x82), _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(_x111, _x112)), _x92))), _x42), _x22), X2)) → f#(f(f(g(n__g(f(g(f(activate(_x111), _x112)), _x92))), _x42), _x22), X2)activate#(n__f(n__f(n__g(n__g(n__f(_x71, _x72))), _x22), X2)) → f#(f(g(g(f(activate(_x71), _x72))), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(_x101, _x102), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(f(f(activate(_x101), _x102), _x82), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__g(n__f(n__f(n__f(_x71, _x72), _x62), _x52)), _x32), X2)) → f#(n__f(n__g(f(f(f(activate(_x71), _x72), _x62), _x52)), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(_x141, _x142), _x122), _x102), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(g(f(f(f(f(f(activate(_x141), _x142), _x122), _x102), _x82), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x111, _x92), _x132), _x102), _x62), _x42), _x52), _x32), X2)) → f#(n__f(n__f(n__f(n__f(f(n__f(f(_x111, _x92), _x132), _x102), _x62), _x42), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x111), _x92), _x102), _x82), _x72), _x42), _x22), X2)) → f#(f(f(n__f(f(f(f(g(activate(_x111)), _x92), _x102), _x82), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(_x101, _x102), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(g(n__g(f(f(f(activate(_x101), _x102), _x82), _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(_x141, _x142), _x122), _x102), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(f(f(f(f(activate(_x141), _x142), _x122), _x102), _x82), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(_x51)), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(activate(_x51))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x151), _x132), _x102), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(f(n__f(g(activate(_x151)), _x132), _x102), _x82), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x51, _x52), _x62), _x32), _x32), X2)) → f#(n__f(n__f(f(f(activate(_x51), _x52), _x62), _x32), _x32), X2)
activate#(n__f(n__f(n__f(n__f(_x51, _x62), _x42), _x32), X2)) → f#(n__f(f(f(_x51, _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x101, _x102)), _x102), _x52), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(g(f(activate(_x101), _x102)), _x102), _x52), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x102), _x92), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(n__f(f(n__f(activate(_x121), _x132), _x102), _x92), _x62), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x101), _x92))), _x52), _x22), X2)) → f#(f(n__f(g(n__g(f(g(activate(_x101)), _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x82), _x62), _x52), _x22), X2)) → f#(f(n__f(f(f(g(activate(_x101)), _x82), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x91, _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(f(activate(_x91), _x92))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(_x81)), _x42), _x22), X2)) → f#(f(f(n__g(n__g(activate(_x81))), _x42), _x22), X2)activate#(n__f(n__f(n__f(_x31, _x32), _x32), X2)) → f#(n__f(n__f(_x31, _x32), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(_x91)), _x42), _x22), X2)) → f#(f(f(g(n__g(_x91)), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x71, _x72))), _x52), _x22), X2)) → f#(f(n__f(g(n__g(n__f(_x71, _x72))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x92), _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(f(activate(_x91), _x92), _x92), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x91, _x82))), _x42), _x22), X2)) → f#(f(f(g(n__g(n__f(activate(_x91), _x82))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x111), _x82))), _x42), _x22), X2)) → f#(f(f(g(n__g(n__f(g(_x111), _x82))), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x91))), _x42), _x22), X2)) → f#(f(f(g(g(n__g(activate(_x91)))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x92), _x72), _x52), _x22), X2)) → f#(f(n__f(n__f(n__f(activate(_x81), _x92), _x72), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x91, _x92))), _x42), _x22), X2)) → f#(f(f(g(g(f(activate(_x91), _x92))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x81), _x71), _x52), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(activate(_x81), n__f(n__g(activate(_x81)), activate(_x71))), _x52), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x101), _x61))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(activate(_x101), n__f(n__g(activate(_x101)), activate(_x61))))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x102), _x82), _x62), _x32), _x32), X2)) → f#(n__f(n__f(f(f(f(activate(_x101), _x102), _x82), _x62), _x32), _x32), X2)activate#(n__f(n__f(n__g(n__f(n__g(n__g(_x91)), _x52)), _x22), X2)) → f#(f(n__g(n__f(g(n__g(activate(_x91))), _x52)), _x22), X2)
activate#(n__f(n__f(n__g(n__f(n__f(_x81, _x82), _x52)), _x32), X2)) → f#(n__f(n__g(n__f(f(activate(_x81), _x82), _x52)), _x32), X2)activate#(n__f(n__f(n__f(n__g(_x51), _x52), _x32), X2)) → f#(n__f(n__f(n__g(_x51), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x71, _x82), _x92), _x52), _x52), _x22), X2)) → f#(f(n__f(n__f(n__f(n__f(activate(_x71), _x82), _x92), _x52), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x101, _x102)))), _x42), _x32), X2)) → f#(n__f(f(g(g(g(f(activate(_x101), _x102)))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x102), _x62), _x42), _x52), _x32), X2)) → f#(n__f(n__f(n__f(n__f(f(n__f(activate(_x121), _x132), _x102), _x62), _x42), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x71, _x102), _x82), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(f(f(_x71, _x102), _x82), _x72), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x121), _x102), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(f(g(activate(_x121)), _x102), _x82), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x102), _x52), _x42), _x42), _x32), X2)) → f#(n__f(f(n__f(n__f(f(activate(_x101), _x102), _x52), _x42), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x131, _x132)), _x132), _x102), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(n__f(g(f(activate(_x131), _x132)), _x132), _x102), _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x102), _x82), _x52), _x52), _x22), X2)) → f#(f(n__f(n__f(f(f(n__f(activate(_x121), _x132), _x102), _x82), _x52), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x81))), _x52), _x32), X2)) → f#(n__f(n__f(g(n__g(n__g(_x81))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x101, _x102)))), _x42), _x22), X2)) → f#(f(f(g(g(n__g(f(activate(_x101), _x102)))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(_x151, _x152), _x132), _x102), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(f(f(n__f(f(activate(_x151), _x152), _x132), _x102), _x82), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(n__f(_x131, _x132), _x142), _x122), _x112), _x82), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(f(n__f(f(f(f(activate(_x131), _x132), _x142), _x122), _x112), _x82), _x62))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__f(g(_x102), _x101), _x132), _x102), _x82), _x42), _x52), _x32), X2)) → f#(n__f(n__f(n__f(f(f(n__f(f(_x102, n__f(n__g(_x102), activate(_x101))), _x132), _x102), _x82), _x42), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x111), _x132), _x102), _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(f(n__f(n__g(activate(_x111)), _x132), _x102), _x92), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x122), _x112), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(n__f(f(activate(_x121), _x122), _x112), _x82), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__g(n__g(_x51)), _x32), X2)) → f#(n__f(n__g(g(activate(_x51))), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x121, _x132), _x102), _x92), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(n__f(f(n__f(activate(_x121), _x132), _x102), _x92), _x62))), _x52), _x32), X2)activate#(n__f(n__f(n__g(n__f(n__g(n__f(_x91, _x92)), _x52)), _x32), X2)) → f#(n__f(n__g(n__f(g(f(activate(_x91), _x92)), _x52)), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x111, _x102)))), _x42), _x22), X2)) → f#(f(f(g(n__g(g(f(_x111, _x102)))), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x111, _x102)))), _x42), _x32), X2)) → f#(n__f(f(n__g(g(g(f(_x111, _x102)))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x151, _x132), _x112), _x82), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(f(n__f(n__f(_x151, _x132), _x112), _x82), _x62))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x111, _x112), _x92), _x102), _x82), _x72), _x42), _x22), X2)) → f#(f(f(n__f(f(f(f(f(activate(_x111), _x112), _x92), _x102), _x82), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__g(n__g(_x61)), _x32), X2)) → f#(n__f(g(n__g(activate(_x61))), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x92), _x132), _x102), _x82), _x62), _x52), _x22), X2)) → f#(f(n__f(f(f(f(n__f(f(activate(_x91), _x92), _x132), _x102), _x82), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x101)), _x62), _x82), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(f(n__f(g(n__g(activate(_x101))), _x62), _x82), _x72), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x111), _x92))), _x42), _x22), X2)) → f#(f(f(n__g(n__g(f(g(_x111), _x92))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x81))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(n__g(_x81))), _x42), _x32), X2)activate#(n__f(n__f(n__g(n__f(_x61, _x62)), _x22), X2)) → f#(f(g(f(activate(_x61), _x62)), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__f(_x51, _x52)), _x42), _x32), X2)) → f#(n__f(f(g(f(activate(_x51), _x52)), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(_x101, _x102), _x92))), _x42), _x22), X2)) → f#(f(f(g(n__g(f(f(activate(_x101), _x102), _x92))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x112), _x92), _x72), _x52), _x22), X2)) → f#(f(n__f(n__f(n__f(f(n__g(activate(_x101)), _x112), _x92), _x72), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x81))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(n__g(_x81))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(_x81, _x82)), _x62))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(n__f(g(f(activate(_x81), _x82)), _x62))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x132), _x72), _x82), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(f(n__f(n__f(_x91, _x132), _x72), _x82), _x62), _x52), _x32), X2)
activate#(n__f(n__f(n__g(n__g(n__g(_x71))), _x22), X2)) → f#(f(g(g(g(activate(_x71)))), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x81), _x102), _x52), _x42), _x42), _x32), X2)) → f#(n__f(f(n__f(n__f(f(g(activate(_x81)), _x102), _x52), _x42), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x61), _x52), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(g(activate(_x61)), _x52), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(_x71, _x72), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(g(n__g(f(f(activate(_x71), _x72), _x92))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x71), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(g(activate(_x71)), _x92), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x81, _x132), _x102), _x92), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(n__f(_x81, _x132), _x102), _x92), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x51, _x62), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(activate(_x51), _x62), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__g(_x111)), _x92))), _x42), _x22), X2)) → f#(f(f(g(n__g(f(g(g(activate(_x111))), _x92))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x111), _x92))), _x52), _x22), X2)) → f#(f(n__f(g(n__g(f(g(_x111), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(_x81), _x42), _x22), X2)) → f#(f(f(g(_x81), _x42), _x22), X2)
activate#(n__f(n__f(n__g(n__f(n__g(n__g(n__g(_x101))), _x52)), _x22), X2)) → f#(f(n__g(n__f(g(g(g(activate(_x101)))), _x52)), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x81)), _x112), _x92), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(g(g(activate(_x81))), _x112), _x92), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(_x61), _x42), _x32), X2)) → f#(n__f(f(n__g(activate(_x61)), _x42), _x32), X2)activate#(n__f(n__f(n__g(n__f(n__g(_x51), _x52)), _x32), X2)) → f#(n__f(n__g(n__f(g(activate(_x51)), _x52)), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x62), _x82), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(f(n__f(n__f(activate(_x121), _x132), _x62), _x82), _x62), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(_x71), _x52), _x22), X2)) → f#(f(n__f(g(_x71), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__f(_x71, _x72)), _x52), _x32), X2)) → f#(n__f(n__f(n__g(f(activate(_x71), _x72)), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x111, _x102)))), _x42), _x32), X2)) → f#(n__f(f(g(g(n__g(f(_x111, _x102)))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x91, _x72))), _x52), _x22), X2)) → f#(f(n__f(g(n__g(n__f(activate(_x91), _x72))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(_x81)), _x42), _x32), X2)) → f#(n__f(f(g(n__g(activate(_x81))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(_x81, _x62), _x42), _x22), X2)) → f#(f(f(f(_x81, _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x121, _x132), _x102), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(g(f(f(f(n__f(activate(_x121), _x132), _x102), _x82), _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(_x61), _x42), _x22), X2)) → f#(f(f(n__g(activate(_x61)), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__f(n__g(_x81), _x72)), _x52), _x22), X2)) → f#(f(n__f(n__g(f(g(activate(_x81)), _x72)), _x52), _x22), X2)
activate#(n__f(n__f(n__g(n__f(n__g(n__g(_x101)), _x52)), _x22), X2)) → f#(f(n__g(n__f(g(g(_x101)), _x52)), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x121, _x122)), _x92), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(n__f(n__g(f(activate(_x121), _x122)), _x92), _x92), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x111), _x132), _x102), _x82), _x42), _x52), _x32), X2)) → f#(n__f(n__f(n__f(f(f(n__f(g(_x111), _x132), _x102), _x82), _x42), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x121, _x122), _x112), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(g(f(f(n__f(f(activate(_x121), _x122), _x112), _x82), _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x111, _x112)), _x112), _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(f(n__g(f(activate(_x111), _x112)), _x112), _x92), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x52), _x42), _x42), _x32), X2)) → f#(n__f(f(n__f(n__f(activate(_x81), _x52), _x42), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(_x151, _x152), _x132), _x102), _x82), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(f(f(n__f(f(activate(_x151), _x152), _x132), _x102), _x82), _x62))), _x52), _x32), X2)

Rewrite Rules

f(g(X), Y) → f(X, n__f(n__g(X), activate(Y)))f(X1, X2) → n__f(X1, X2)
g(X) → n__g(X)activate(n__f(X1, X2)) → f(activate(X1), X2)
activate(n__g(X)) → g(activate(X))activate(X) → X

Original Signature

Termination of terms over the following signature is verified: activate, f, g, n__f, n__g

Strategy

The right-hand side of the rule activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x151, _x132), _x102), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(f(f(n__f(_x151, _x132), _x102), _x82), _x92))), _x52), _x22), X2) 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
f#(f(n__f(n__g(n__g(f(n__f(f(n__f(_x151, _x132), _x102), _x92), _x92))), _x52), _x22), X2) 
f#(n__f(n__f(n__g(n__g(f(f(f(n__f(_x151, _x132), _x102), _x82), _x92))), _x52), _x32), X2) 
f#(f(n__f(n__g(n__g(f(f(n__f(n__f(_x151, _x132), _x112), _x82), _x92))), _x52), _x22), X2) 
f#(f(n__f(n__g(n__g(n__f(f(f(n__f(_x151, _x132), _x102), _x82), _x72))), _x52), _x22), X2) 
Thus, the rule activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x151, _x132), _x102), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(f(f(n__f(_x151, _x132), _x102), _x82), _x92))), _x52), _x22), X2) is replaced by the following rules:
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x151, _x132), _x112), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(f(n__f(n__f(_x151, _x132), _x112), _x82), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x151, _x132), _x102), _x82), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(f(f(f(n__f(_x151, _x132), _x102), _x82), _x92))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x151, _x132), _x102), _x92), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(n__f(f(n__f(_x151, _x132), _x102), _x92), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x151, _x132), _x102), _x82), _x72))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(n__f(f(f(n__f(_x151, _x132), _x102), _x82), _x72))), _x52), _x22), X2)

Problem 25: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x91), _x72), _x92), _x52), _x52), _x22), X2)) → f#(f(n__f(n__f(n__f(f(g(activate(_x91)), _x72), _x92), _x52), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x121)), _x91), g(activate(_x121))), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(g(activate(_x121)), n__f(n__g(g(activate(_x121))), activate(_x91))), _x92), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x132), _x102), _x82), _x52), _x52), _x22), X2)) → f#(f(n__f(n__f(f(f(n__f(_x91, _x132), _x102), _x82), _x52), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x81, _x82)), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(g(f(activate(_x81), _x82)), _x82), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x81, _x82)), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(n__g(f(activate(_x81), _x82)), _x82), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__g(_x41), _x31), X2)) → f#(f(activate(_x41), n__f(n__g(activate(_x41)), activate(_x31))), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x62), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(activate(_x81), _x62), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(n__g(_x131))), _x92)), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(g(n__f(n__g(g(g(activate(_x131)))), _x92)), _x92))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x101))), _x31), g(g(_x101))), X2)) → f#(n__f(f(g(g(_x101)), n__f(n__g(g(g(_x101))), activate(_x31))), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(n__f(_x131, _x132))), _x92), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(n__f(g(g(f(activate(_x131), _x132))), _x92), _x92), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x81), _x72), _x52), _x52), _x22), X2)) → f#(f(n__f(n__f(f(g(activate(_x81)), _x72), _x52), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x121, _x132), _x102), _x92), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(n__f(f(n__f(activate(_x121), _x132), _x102), _x92), _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(_x131, _x102), _x72), _x72))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(n__f(f(_x131, _x102), _x72), _x72))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x71, _x62), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(activate(_x71), _x62), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(g(_x102), _x101), _x102), _x92), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(n__f(f(f(_x102, n__f(n__g(_x102), activate(_x101))), _x102), _x92), _x62))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x102), _x82), _x72), _x32), _x32), X2)) → f#(n__f(n__f(n__f(f(f(activate(_x101), _x102), _x82), _x72), _x32), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(_x101), _x82)), _x61))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(f(g(activate(_x101)), _x82), n__f(n__g(f(g(activate(_x101)), _x82)), activate(_x61))))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(_x61), _x31), activate(_x61)), X2)) → f#(n__f(f(activate(_x61), n__f(n__g(activate(_x61)), activate(_x31))), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x102), _x82), _x42), _x42), _x32), X2)) → f#(n__f(f(n__f(f(f(n__f(activate(_x121), _x132), _x102), _x82), _x42), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x102), _x72), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(f(activate(_x101), _x102), _x72), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x81), _x92))), _x31), n__g(f(g(_x81), _x92))), X2)) → f#(n__f(f(n__g(f(g(_x81), _x92)), n__f(n__g(n__g(f(g(_x81), _x92))), activate(_x31))), _x32), X2)activate#(n__f(n__f(n__g(n__g(_x61)), _x31), X2)) → f#(f(n__g(activate(_x61)), n__f(n__g(n__g(activate(_x61))), activate(_x31))), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x102), _x62), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(n__f(activate(_x121), _x132), _x102), _x62), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(_x121, _x122), _x122), _x112), _x82), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(f(n__f(f(n__f(_x121, _x122), _x122), _x112), _x82), _x62))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x61), _x82), _x62), _x32), _x32), X2)) → f#(n__f(n__f(f(f(g(activate(_x61)), _x82), _x62), _x32), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x102), _x52), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(n__f(f(n__f(activate(_x121), _x132), _x102), _x52), _x62), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(n__g(_x161)), _x132), _x102), _x92), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(n__f(f(n__f(n__g(g(_x161)), _x132), _x102), _x92), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x81), _x92))), _x32), _x32), X2)) → f#(n__f(n__f(g(n__g(f(g(_x81), _x92))), _x32), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(n__g(_x161)), _x132), _x102), _x92), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(n__f(f(n__f(g(g(_x161)), _x132), _x102), _x92), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x82), _x81))), _x42), _x22), X2)) → f#(f(f(g(n__g(f(_x82, n__f(n__g(_x82), activate(_x81))))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(_x61, _x52), _x52), _x22), X2)) → f#(f(n__f(n__f(activate(_x61), _x52), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x71), _x102), _x82), _x62), _x32), _x32), X2)) → f#(n__f(n__f(f(f(f(n__g(activate(_x71)), _x102), _x82), _x62), _x32), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x61, _x62), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(f(activate(_x61), _x62), _x82), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x111, _x102)))), _x51), _x22), X2)) → f#(f(f(g(g(f(_x111, _x102))), n__f(n__g(g(g(f(_x111, _x102)))), activate(_x51))), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x151, _x132), _x102), _x92), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(n__f(n__f(f(n__f(_x151, _x132), _x102), _x92), _x62))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x111, _x112)), _x132), _x102), _x82), _x42), _x52), _x32), X2)) → f#(n__f(n__f(n__f(f(f(n__f(g(f(activate(_x111), _x112)), _x132), _x102), _x82), _x42), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x101))), _x51), _x22), X2)) → f#(f(f(n__g(g(_x101)), n__f(n__g(n__g(g(_x101))), activate(_x51))), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x61, _x92), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(_x61, _x92), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__g(n__g(_x61)), _x22), X2)) → f#(f(n__g(n__g(activate(_x61))), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(n__f(n__f(_x141, _x142), _x132))), _x112), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(g(g(f(f(activate(_x141), _x142), _x132))), _x112), _x92), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x81), _x72), _x62), _x52), _x22), X2)) → f#(f(n__f(f(f(n__g(activate(_x81)), _x72), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x71, _x72), _x52), _x52), _x22), X2)) → f#(f(n__f(n__f(f(activate(_x71), _x72), _x52), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(_x81, _x92), _x92))), _x52), _x22), X2)) → f#(f(n__f(g(n__g(f(n__f(activate(_x81), _x92), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__g(_x81)), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(g(g(activate(_x81))), _x92))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x102), _x82), _x72), _x52), _x22), X2)) → f#(f(n__f(n__f(f(f(activate(_x101), _x102), _x82), _x72), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x91)), _x62), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(n__f(n__g(g(activate(_x91))), _x62), _x82), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(n__g(_x131), _x112)), _x112), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(n__g(n__f(g(activate(_x131)), _x112)), _x112), _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(_x141, _x142), _x132), _x102), _x82), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(f(f(n__f(f(activate(_x141), _x142), _x132), _x102), _x82), _x62))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x111, _x112), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(activate(_x111), _x112), _x92), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(_x141, _x142), _x122), _x112), _x82), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(n__f(f(n__f(f(f(activate(_x141), _x142), _x122), _x112), _x82), _x62))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(_x121, _x102), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(g(f(f(f(_x121, _x102), _x82), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x102), _x92), _x52), _x52), _x22), X2)) → f#(f(n__f(n__f(n__f(f(n__f(activate(_x121), _x132), _x102), _x92), _x52), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(n__g(n__f(_x141, _x142)))), _x82)), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(n__g(f(n__g(g(g(f(activate(_x141), _x142)))), _x82)), _x92))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x92), _x132), _x102), _x62), _x42), _x52), _x32), X2)) → f#(n__f(n__f(n__f(n__f(f(n__f(f(activate(_x91), _x92), _x132), _x102), _x62), _x42), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x101, _x102)))), _x52), _x22), X2)) → f#(f(n__f(g(g(g(f(activate(_x101), _x102)))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(n__g(_x141)), _x132), _x102), _x82), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(f(f(f(n__f(g(n__g(_x141)), _x132), _x102), _x82), _x92))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(n__g(_x161)), _x132), _x102), _x82), _x72))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(n__f(f(f(n__f(n__g(g(_x161)), _x132), _x102), _x82), _x72))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(_x141, _x142), _x122), _x102), _x92), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(n__f(f(f(f(activate(_x141), _x142), _x122), _x102), _x92), _x62))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x112), _x92), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(n__f(f(n__g(activate(_x101)), _x112), _x92), _x62), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(n__g(_x131))), _x82)), _x62))), _x42), _x32), X2)) → f#(n__f(f(n__g(n__g(n__f(g(f(n__g(g(g(activate(_x131)))), _x82)), _x62))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x102), _x82), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(n__f(f(activate(_x101), _x102), _x82), _x92), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(n__g(_x111))), _x62), _x82), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(f(n__f(g(g(n__g(activate(_x111)))), _x62), _x82), _x72), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(_x81)), _x32), _x32), X2)) → f#(n__f(n__f(n__g(g(activate(_x81))), _x32), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__f(_x71, _x62)), _x52), _x22), X2)) → f#(f(n__f(n__g(n__f(activate(_x71), _x62)), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(n__g(_x121))), _x72), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(g(g(g(activate(_x121)))), _x72), _x92), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x92), _x102), _x72), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(f(f(activate(_x91), _x92), _x102), _x72), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(g(activate(_x101)), _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x121, _x122), _x102), _x82), _x72))), _x52), _x22), X2)) → f#(f(n__f(n__g(g(n__f(f(f(f(activate(_x121), _x122), _x102), _x82), _x72))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x111, _x132), _x102), _x92), _x72), _x52), _x22), X2)) → f#(f(n__f(n__f(n__f(f(n__f(_x111, _x132), _x102), _x92), _x72), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(_x151), _x132), _x102), _x82), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(f(f(f(n__f(g(activate(_x151)), _x132), _x102), _x82), _x92))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(_x101), _x82)), _x92))), _x42), _x32), X2)) → f#(n__f(f(n__g(n__g(f(g(f(g(activate(_x101)), _x82)), _x92))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x101, _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(_x101, _x92))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x102), _x52), _x62), _x32), _x32), X2)) → f#(n__f(n__f(f(n__f(f(n__f(activate(_x121), _x132), _x102), _x52), _x62), _x32), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x111), _x132), _x102), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(n__f(n__g(activate(_x111)), _x132), _x102), _x92), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(_x101), _x132), _x102), _x82), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(f(f(f(n__f(g(activate(_x101)), _x132), _x102), _x82), _x92))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(_x151), _x132), _x112), _x92), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(n__f(n__f(n__f(g(activate(_x151)), _x132), _x112), _x92), _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x81), _x102), _x52), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(n__g(activate(_x81)), _x102), _x52), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x62), _x82), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(f(n__f(n__g(_x101), _x62), _x82), _x72), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x111, _x132), _x102), _x72), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(f(n__f(f(n__f(_x111, _x132), _x102), _x72), _x92))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x71, _x72)))), _x42), _x32), X2)) → f#(n__f(f(g(g(g(n__f(_x71, _x72)))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x71, _x72), _x52), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(f(activate(_x71), _x72), _x52), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(_x81, _x102), _x72))), _x52), _x22), X2)) → f#(f(n__f(g(n__g(n__f(n__f(activate(_x81), _x102), _x72))), _x52), _x22), X2)
activate#(n__f(n__f(n__g(n__f(n__g(n__f(_x91, _x82)), _x52)), _x22), X2)) → f#(f(n__g(n__f(g(n__f(activate(_x91), _x82)), _x52)), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(_x111, _x112), _x82), _x72))), _x52), _x22), X2)) → f#(f(n__f(g(n__g(n__f(f(f(activate(_x111), _x112), _x82), _x72))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(n__g(n__g(_x161))), _x132), _x102), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(f(f(n__f(g(g(g(activate(_x161)))), _x132), _x102), _x82), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x62), _x32), _x32), X2)) → f#(n__f(n__f(f(f(activate(_x81), _x82), _x62), _x32), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x121, _x122)), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(g(f(activate(_x121), _x122)), _x82), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x111)), _x132), _x102), _x82), _x42), _x52), _x32), X2)) → f#(n__f(n__f(n__f(f(f(n__f(g(g(activate(_x111))), _x132), _x102), _x82), _x42), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(_x81, _x82), _x72))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(n__f(f(activate(_x81), _x82), _x72))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x121)), _x112), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(n__g(g(activate(_x121))), _x112), _x92), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__g(_x101), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(g(n__g(f(f(g(activate(_x101)), _x82), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__f(_x81, _x82)), _x42), _x22), X2)) → f#(f(f(g(f(activate(_x81), _x82)), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x102), _x132), _x102), _x82), _x42), _x52), _x32), X2)) → f#(n__f(n__f(n__f(f(f(n__f(n__f(_x101, _x102), _x132), _x102), _x82), _x42), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x71), _x102), _x82), _x42), _x42), _x32), X2)) → f#(n__f(f(n__f(f(f(g(activate(_x71)), _x102), _x82), _x42), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(_x101, _x82)), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(g(f(_x101, _x82)), _x92))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x121, _x122), _x102), _x82), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(f(f(f(f(activate(_x121), _x122), _x102), _x82), _x92))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x101))), _x52), _x22), X2)) → f#(f(n__f(g(n__g(g(_x101))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(n__f(_x101, _x102))), _x102), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(f(n__g(g(f(activate(_x101), _x102))), _x102), _x82), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(n__g(_x131))), _x82)), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(g(f(g(n__g(g(activate(_x131)))), _x82)), _x92))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(n__g(_x161)), _x132), _x82), _x82), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(f(f(n__f(n__f(g(g(_x161)), _x132), _x82), _x82), _x92))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x121, _x122), _x102), _x92), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(n__f(f(f(activate(_x121), _x122), _x102), _x92), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x122), _x102), _x82), _x62), _x52), _x22), X2)) → f#(f(n__f(f(f(f(f(activate(_x121), _x122), _x102), _x82), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x91, _x92)), _x72), _x62), _x52), _x22), X2)) → f#(f(n__f(f(f(g(f(activate(_x91), _x92)), _x72), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x91), _x132), _x102), _x62), _x42), _x52), _x32), X2)) → f#(n__f(n__f(n__f(n__f(f(n__f(g(activate(_x91)), _x132), _x102), _x62), _x42), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x62), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(n__f(n__f(activate(_x121), _x132), _x62), _x82), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(g(_x101), _x92), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x101, _x92))), _x52), _x22), X2)) → f#(f(n__f(g(n__g(f(_x101, _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(_x101), _x92)), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(g(n__f(g(activate(_x101)), _x92)), _x92))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x81))), _x51), _x22), X2)) → f#(f(f(n__g(n__g(_x81)), n__f(n__g(n__g(n__g(_x81))), activate(_x51))), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(_x81, _x82)), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(n__g(f(activate(_x81), _x82)), _x92))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(n__g(_x111))), _x62), _x52), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(n__f(n__f(g(g(g(activate(_x111)))), _x62), _x52), _x72), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(n__g(_x131), _x122)), _x112), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(n__g(f(n__g(activate(_x131)), _x122)), _x112), _x92), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x71), _x102), _x52), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(g(activate(_x71)), _x102), _x52), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(_x51)), _x42), _x32), X2)) → f#(n__f(f(g(g(activate(_x51))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x141, _x122), _x102), _x82), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(f(f(f(_x141, _x122), _x102), _x82), _x62))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(g(_x112), _x111), _x122), _x112), _x92), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(n__f(n__f(n__f(f(f(_x112, n__f(n__g(_x112), activate(_x111))), _x122), _x112), _x92), _x62))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(_x81)), _x52), _x22), X2)) → f#(f(n__f(n__g(g(activate(_x81))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(_x131), _x132), _x112), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(f(n__f(n__f(g(_x131), _x132), _x112), _x82), _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(n__g(activate(_x101)), _x82), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(_x111), _x122), _x102), _x92), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(n__f(f(f(g(activate(_x111)), _x122), _x102), _x92), _x62))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x101, _x122)), _x112), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(n__g(f(_x101, _x122)), _x112), _x92), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(n__g(_x131)), _x132), _x112), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(f(n__f(n__f(g(g(activate(_x131))), _x132), _x112), _x82), _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(n__g(_x141), _x122)), _x112), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(n__g(f(g(_x141), _x122)), _x112), _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x121)), _x112), _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(f(g(g(activate(_x121))), _x112), _x92), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x101), _x92))), _x42), _x22), X2)) → f#(f(f(n__g(g(f(g(activate(_x101)), _x92))), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(g(_x72), _x71)))), _x42), _x32), X2)) → f#(n__f(f(g(g(g(f(_x72, n__f(n__g(_x72), activate(_x71)))))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x91, _x92)), _x102), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(f(g(f(activate(_x91), _x92)), _x102), _x82), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(_x121)), _x82)), _x92))), _x32), _x32), X2)) → f#(n__f(n__f(g(n__g(f(g(f(g(g(activate(_x121))), _x82)), _x92))), _x32), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x81, _x132), _x102), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(f(n__f(_x81, _x132), _x102), _x82), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x121, _x132), _x102), _x72), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(n__f(n__f(f(n__f(activate(_x121), _x132), _x102), _x72), _x62))), _x52), _x32), X2)
activate#(n__f(n__f(n__g(n__f(n__g(_x81), _x52)), _x32), X2)) → f#(n__f(n__g(n__f(g(activate(_x81)), _x52)), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x72), _x42), _x22), X2)) → f#(f(f(n__f(f(activate(_x81), _x82), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(_x91)), _x42), _x32), X2)) → f#(n__f(f(n__g(g(_x91)), _x42), _x32), X2)activate#(n__f(n__f(n__g(n__f(n__f(_x91, _x82), _x52)), _x22), X2)) → f#(f(n__g(n__f(f(_x91, _x82), _x52)), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x112), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(_x101, _x112), _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x111, _x132), _x102), _x92), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(n__f(_x111, _x132), _x102), _x92), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x102), _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(f(n__f(activate(_x121), _x132), _x102), _x92), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x81), _x82), _x92), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(n__f(n__f(g(activate(_x81)), _x82), _x92), _x62), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__f(_x101, _x102), _x82)), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(g(f(f(activate(_x101), _x102), _x82)), _x92))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x121, _x122), _x102), _x82), _x72))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(n__f(f(f(f(activate(_x121), _x122), _x102), _x82), _x72))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x101, _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(_x101, _x82), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(n__f(_x161, _x162), _x142), _x122), _x102), _x82), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(f(f(f(f(f(activate(_x161), _x162), _x142), _x122), _x102), _x82), _x62))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x71, _x72), _x92), _x52), _x52), _x22), X2)) → f#(f(n__f(n__f(n__f(f(activate(_x71), _x72), _x92), _x52), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x101, _x92)))), _x42), _x22), X2)) → f#(f(f(g(g(g(n__f(activate(_x101), _x92)))), _x42), _x22), X2)
activate#(n__f(n__f(n__g(n__g(_x61)), _x22), X2)) → f#(f(n__g(g(activate(_x61))), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(_x111), _x132), _x102), _x72), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(f(n__f(f(n__f(n__g(activate(_x111)), _x132), _x102), _x72), _x92))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x82), _x62), _x52), _x22), X2)) → f#(f(n__f(f(f(n__g(activate(_x101)), _x82), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x101))), _x42), _x22), X2)) → f#(f(f(n__g(n__g(g(_x101))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(n__g(_x141)), _x132), _x102), _x82), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(n__f(f(f(n__f(g(n__g(_x141)), _x132), _x102), _x82), _x62))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(n__g(n__g(_x141)))), _x82)), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(g(f(g(g(g(g(activate(_x141))))), _x82)), _x92))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x151, _x132), _x102), _x82), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(f(f(f(n__f(_x151, _x132), _x102), _x82), _x92))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x122), _x102), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(f(activate(_x121), _x122), _x102), _x92), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x121, _x122)), _x132), _x102), _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(f(n__f(g(f(activate(_x121), _x122)), _x132), _x102), _x92), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x102), _x72), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(f(_x91, _x102), _x72), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(g(_x122), _x121), _x82), _x72))), _x52), _x22), X2)) → f#(f(n__f(n__g(g(n__f(f(f(_x122, n__f(n__g(_x122), activate(_x121))), _x82), _x72))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(_x81, _x82), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(g(n__g(f(f(activate(_x81), _x82), _x92))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x91), _x92))), _x42), _x22), X2)) → f#(f(f(n__g(n__g(f(n__g(_x91), _x92))), _x42), _x22), X2)activate#(n__f(n__f(n__g(n__f(_x51, _x52)), _x32), X2)) → f#(n__f(g(f(activate(_x51), _x52)), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(n__g(n__f(_x161, _x162))), _x132), _x102), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(f(f(n__f(g(g(f(activate(_x161), _x162))), _x132), _x102), _x82), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(n__g(_x161)), _x132), _x112), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(f(n__f(n__f(n__g(g(_x161)), _x132), _x112), _x82), _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__g(n__f(n__g(n__f(n__g(_x101), _x92)), _x52)), _x22), X2)) → f#(f(n__g(n__f(g(f(g(activate(_x101)), _x92)), _x52)), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x81, _x82))), _x42), _x22), X2)) → f#(f(f(n__g(g(n__f(_x81, _x82))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x81, _x132), _x102), _x82), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(f(f(n__f(_x81, _x132), _x102), _x82), _x62), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x122), _x102), _x82), _x72), _x42), _x22), X2)) → f#(f(f(n__f(f(f(f(activate(_x121), _x122), _x102), _x82), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(_x121)), _x82)), _x92))), _x42), _x32), X2)) → f#(n__f(f(n__g(n__g(f(g(f(g(g(activate(_x121))), _x82)), _x92))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(_x81)), _x51), _x22), X2)) → f#(f(f(g(activate(_x81)), n__f(n__g(g(activate(_x81))), activate(_x51))), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x81), _x62))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(n__f(g(_x81), _x62))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x91), _x132), _x102), _x52), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(n__f(g(activate(_x91)), _x132), _x102), _x52), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(_x151), _x132), _x112), _x82), _x72))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(n__f(f(n__f(n__f(g(activate(_x151)), _x132), _x112), _x82), _x72))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x91, _x62))), _x52), _x32), X2)) → f#(n__f(n__f(g(n__g(n__f(activate(_x91), _x62))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(n__g(_x131))), _x92)), _x92))), _x42), _x32), X2)) → f#(n__f(f(n__g(n__g(f(g(n__f(n__g(g(n__g(activate(_x131)))), _x92)), _x92))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x111)), _x112), _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(f(n__g(g(activate(_x111))), _x112), _x92), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x131)), _x132), _x102), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(n__f(g(g(activate(_x131))), _x132), _x102), _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x81, _x62), _x82), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(f(n__f(_x81, _x62), _x82), _x72), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(g(activate(_x101)), _x82), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(_x61, _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(activate(_x61), _x62), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x91)), _x102), _x82), _x62), _x32), _x32), X2)) → f#(n__f(n__f(f(f(f(n__g(g(activate(_x91))), _x102), _x82), _x62), _x32), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x81), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(g(_x81), _x82), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(_x151), _x132), _x102), _x92), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(n__f(f(n__f(g(activate(_x151)), _x132), _x102), _x92), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(n__f(_x101, _x102), _x122)), _x112), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(n__g(f(f(activate(_x101), _x102), _x122)), _x112), _x92), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x102), _x82), _x62), _x32), _x32), X2)) → f#(n__f(n__f(f(f(f(n__f(activate(_x121), _x132), _x102), _x82), _x62), _x32), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x82), _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(n__f(n__g(activate(_x101)), _x82), _x92), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(n__g(_x131)), _x132), _x102), _x72), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(f(n__f(f(n__f(g(g(activate(_x131))), _x132), _x102), _x72), _x92))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x101), _x92))), _x42), _x22), X2)) → f#(f(f(g(n__g(f(n__g(activate(_x101)), _x92))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x91), _x62), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(n__f(n__g(_x91), _x62), _x82), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__g(n__f(n__g(n__g(_x91)), _x52)), _x22), X2)) → f#(f(n__g(n__f(n__g(g(activate(_x91))), _x52)), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(_x111, _x82), _x72))), _x52), _x22), X2)) → f#(f(n__f(g(n__g(n__f(f(_x111, _x82), _x72))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(_x141), _x132), _x102), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(f(f(n__f(g(_x141), _x132), _x102), _x82), _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(n__g(n__g(_x141)))), _x82)), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(g(f(n__g(g(g(g(activate(_x141))))), _x82)), _x92))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(n__g(_x141)), _x132), _x102), _x92), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(n__f(f(n__f(g(g(activate(_x141))), _x132), _x102), _x92), _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x121, _x122), _x112), _x82), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(f(n__f(f(activate(_x121), _x122), _x112), _x82), _x62))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(n__g(_x111)), _x132), _x102), _x82), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(f(f(f(n__f(n__g(n__g(_x111)), _x132), _x102), _x82), _x92))), _x52), _x32), X2)
activate#(n__f(n__f(n__g(n__g(n__g(_x71))), _x22), X2)) → f#(f(g(n__g(g(activate(_x71)))), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x62), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(n__f(activate(_x101), _x62), _x82), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(_x101, _x112), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(g(f(f(n__f(activate(_x101), _x112), _x82), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x72), _x52), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(n__f(activate(_x101), _x72), _x52), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x151, _x132), _x112), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(f(n__f(n__f(_x151, _x132), _x112), _x82), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(n__g(n__f(n__g(_x151), _x142)))), _x82)), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(g(f(n__g(g(g(f(g(activate(_x151)), _x142)))), _x82)), _x92))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x121, _x132), _x102), _x82), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(n__f(f(f(n__f(activate(_x121), _x132), _x102), _x82), _x62))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(n__g(n__g(_x121)))), _x62), _x82), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(f(n__f(g(g(g(g(activate(_x121))))), _x62), _x82), _x72), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(n__f(_x131, _x132))), _x91), g(f(activate(_x131), _x132))), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(g(f(activate(_x131), _x132)), n__f(n__g(g(f(activate(_x131), _x132))), activate(_x91))), _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x121, _x122)), _x112), _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(f(n__g(f(activate(_x121), _x122)), _x112), _x92), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x81), _x132), _x102), _x52), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(n__f(f(n__f(g(activate(_x81)), _x132), _x102), _x52), _x62), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x111), _x132), _x102), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(n__f(g(activate(_x111)), _x132), _x102), _x92), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x132), _x102), _x82), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(f(f(n__f(g(_x101), _x132), _x102), _x82), _x62), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x91), _x81), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(activate(_x91), n__f(n__g(activate(_x91)), activate(_x81))), _x92), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(n__g(n__f(_x141, _x142)), _x122)), _x112), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(n__g(f(g(f(activate(_x141), _x142)), _x122)), _x112), _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x101)), _x132), _x102), _x82), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(f(f(n__f(g(g(activate(_x101))), _x132), _x102), _x82), _x62), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(n__g(_x141)), _x132), _x102), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(f(f(n__f(g(n__g(activate(_x141))), _x132), _x102), _x82), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__g(_x31), _x32), X2)) → f#(n__f(n__g(_x31), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x101, _x102)))), _x51), _x22), X2)) → f#(f(f(g(g(f(activate(_x101), _x102))), n__f(n__g(g(g(f(activate(_x101), _x102)))), activate(_x51))), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(_x151), _x132), _x112), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(f(n__f(n__f(n__g(activate(_x151)), _x132), _x112), _x82), _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x121), _x92), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(n__f(g(_x121), _x92), _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x132), _x102), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(f(n__f(f(activate(_x81), _x82), _x132), _x102), _x82), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x61))), _x42), _x32), X2)) → f#(n__f(f(n__g(g(g(activate(_x61)))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x61), _x82), _x42), _x42), _x32), X2)) → f#(n__f(f(n__f(f(g(activate(_x61)), _x82), _x42), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x132), _x72), _x82), _x52), _x52), _x22), X2)) → f#(f(n__f(n__f(f(n__f(n__f(_x91, _x132), _x72), _x82), _x52), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__g(_x131), _x102), _x82), _x72))), _x52), _x22), X2)) → f#(f(n__f(n__g(g(n__f(f(f(g(activate(_x131)), _x102), _x82), _x72))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x81), _x132), _x102), _x82), _x42), _x52), _x32), X2)) → f#(n__f(n__f(n__f(f(f(n__f(g(activate(_x81)), _x132), _x102), _x82), _x42), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(n__g(_x131))), _x82)), _x92))), _x32), _x32), X2)) → f#(n__f(n__f(g(n__g(f(g(f(g(g(g(activate(_x131)))), _x82)), _x92))), _x32), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x102), _x112), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(f(activate(_x101), _x102), _x112), _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x91), _x132), _x72), _x82), _x42), _x52), _x32), X2)) → f#(n__f(n__f(n__f(f(n__f(n__f(g(activate(_x91)), _x132), _x72), _x82), _x42), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(n__g(_x141)), _x132), _x102), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(f(f(n__f(n__g(g(activate(_x141))), _x132), _x102), _x82), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x72), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(n__f(n__g(activate(_x101)), _x72), _x92), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x71), _x82), _x62), _x52), _x22), X2)) → f#(f(n__f(f(f(g(activate(_x71)), _x82), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x112), _x92), _x62), _x32), _x32), X2)) → f#(n__f(n__f(f(n__f(f(g(activate(_x101)), _x112), _x92), _x62), _x32), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x151, _x152), _x132), _x102), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(f(n__f(f(activate(_x151), _x152), _x132), _x102), _x82), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(_x81, _x92), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(g(f(n__f(activate(_x81), _x92), _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x71, _x102), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(f(_x71, _x102), _x82), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(_x141, _x152), _x122), _x102), _x82), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(f(f(f(n__f(activate(_x141), _x152), _x122), _x102), _x82), _x62))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(n__g(n__f(_x141, _x142)))), _x82)), _x92))), _x31), n__g(f(g(f(n__g(g(g(f(activate(_x141), _x142)))), _x82)), _x92))), X2)) → f#(n__f(f(n__g(f(g(f(n__g(g(g(f(activate(_x141), _x142)))), _x82)), _x92)), n__f(n__g(n__g(f(g(f(n__g(g(g(f(activate(_x141), _x142)))), _x82)), _x92))), activate(_x31))), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x101, _x102)), _x62), _x82), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(f(n__f(g(f(activate(_x101), _x102)), _x62), _x82), _x72), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(n__g(_x111))), _x62), _x82), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(f(n__f(g(n__g(g(activate(_x111)))), _x62), _x82), _x72), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x81), _x92))), _x42), _x32), X2)) → f#(n__f(f(n__g(n__g(f(g(_x81), _x92))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x151, _x132), _x102), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(f(n__f(_x151, _x132), _x102), _x82), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__g(n__f(n__g(_x81), _x52)), _x22), X2)) → f#(f(n__g(n__f(n__g(activate(_x81)), _x52)), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(n__f(_x111, _x112))), _x62), _x82), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(f(n__f(g(g(f(activate(_x111), _x112))), _x62), _x82), _x72), _x42), _x32), X2)activate#(n__f(n__f(n__g(n__f(n__g(n__f(_x91, _x92)), _x52)), _x22), X2)) → f#(f(n__g(n__f(n__g(f(activate(_x91), _x92)), _x52)), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x111)), _x72), _x92), _x52), _x52), _x22), X2)) → f#(f(n__f(n__f(n__f(f(n__g(g(activate(_x111))), _x72), _x92), _x52), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(_x101), _x82)), _x92))), _x32), _x32), X2)) → f#(n__f(n__f(g(n__g(f(g(f(g(activate(_x101)), _x82)), _x92))), _x32), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x61, _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(_x61, _x82), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x81), _x72), _x52), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(n__f(g(activate(_x81)), _x72), _x52), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x101))), _x52), _x22), X2)) → f#(f(n__f(g(g(g(_x101))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x91), _x102), _x52), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(n__g(_x91), _x102), _x52), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x101)), _x62), _x52), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(n__f(n__f(g(g(activate(_x101))), _x62), _x52), _x72), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x111), _x132), _x82), _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(n__f(n__f(g(activate(_x111)), _x132), _x82), _x92), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x111)), _x82), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(n__f(g(g(activate(_x111))), _x82), _x92), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(_x71, _x62), _x52), _x22), X2)) → f#(f(n__f(f(_x71, _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x121)), _x112), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(g(g(activate(_x121))), _x112), _x92), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(_x101, _x122), _x82), _x72))), _x52), _x22), X2)) → f#(f(n__f(n__g(g(n__f(f(n__f(activate(_x101), _x122), _x82), _x72))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x92), _x42), _x52), _x32), X2)) → f#(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x92), _x42), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x111, _x122), _x92), _x92), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(n__f(n__f(f(_x111, _x122), _x92), _x92), _x62))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x62), _x92), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(n__f(n__f(activate(_x121), _x132), _x62), _x92), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x71), _x61), _x82), activate(_x71)), _x42), _x32), X2)) → f#(n__f(f(f(f(f(activate(_x71), n__f(n__g(activate(_x71)), activate(_x61))), _x82), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__g(_x41), _x32), X2)) → f#(n__f(n__g(activate(_x41)), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x151, _x132), _x92), _x92), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(n__f(n__f(n__f(_x151, _x132), _x92), _x92), _x62))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(n__g(n__f(_x141, _x132)))), _x82)), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(g(f(n__g(g(g(n__f(activate(_x141), _x132)))), _x82)), _x92))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x91))), _x42), _x32), X2)) → f#(n__f(f(g(g(g(activate(_x91)))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x121), _x112), _x92), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(g(_x121), _x112), _x92), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(_x101, _x82), _x82), _x72))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(n__f(f(n__f(activate(_x101), _x82), _x82), _x72))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(_x121)), _x92)), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(g(n__f(g(g(activate(_x121))), _x92)), _x92))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(n__g(_x131))), _x82)), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(n__g(f(g(g(g(activate(_x131)))), _x82)), _x92))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(n__g(_x161)), _x132), _x102), _x82), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(f(f(f(n__f(n__g(g(_x161)), _x132), _x102), _x82), _x92))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x91), _x132), _x102), _x82), _x62), _x52), _x22), X2)) → f#(f(n__f(f(f(f(n__f(g(activate(_x91)), _x132), _x102), _x82), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(_x131, _x112), _x122), _x102), _x92), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(n__f(f(f(f(_x131, _x112), _x122), _x102), _x92), _x62))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x121, _x122)), _x112), _x92), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(n__f(f(n__g(f(activate(_x121), _x122)), _x112), _x92), _x62), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(g(_x92), _x91), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(g(f(f(_x92, n__f(n__g(_x92), activate(_x91))), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x81, _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(_x81, _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x71), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(n__g(_x71), _x92))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x81)), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(g(g(activate(_x81))), _x82), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x111, _x92), _x132), _x72), _x82), _x42), _x52), _x32), X2)) → f#(n__f(n__f(n__f(f(n__f(n__f(f(_x111, _x92), _x132), _x72), _x82), _x42), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x101), _x92))), _x51), _x22), X2)) → f#(f(f(n__g(f(g(activate(_x101)), _x92)), n__f(n__g(n__g(f(g(activate(_x101)), _x92))), activate(_x51))), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x121, _x122), _x102), _x72), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(n__f(f(f(activate(_x121), _x122), _x102), _x72), _x62))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x111, _x112), _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(f(activate(_x111), _x112), _x92), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x112), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(n__f(n__f(activate(_x121), _x132), _x112), _x82), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x102), _x82), _x52), _x52), _x22), X2)) → f#(f(n__f(n__f(f(f(activate(_x101), _x102), _x82), _x52), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(g(_x82), _x81), _x82), _x72))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(f(f(_x82, n__f(n__g(_x82), activate(_x81))), _x82), _x72))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x121, _x122), _x102), _x92), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(n__f(n__f(f(f(activate(_x121), _x122), _x102), _x92), _x62))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x132), _x102), _x92), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(n__f(f(activate(_x81), _x82), _x132), _x102), _x92), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(_x121, _x122), _x122), _x112), _x82), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(n__f(f(n__f(f(n__f(_x121, _x122), _x122), _x112), _x82), _x62))), _x52), _x32), X2)
activate#(n__f(n__f(n__g(n__f(n__g(n__f(_x101, _x92)), _x52)), _x22), X2)) → f#(f(n__g(n__f(g(f(_x101, _x92)), _x52)), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x91, _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(activate(_x91), _x92))), _x42), _x32), X2)
activate#(n__f(n__f(n__g(n__f(_x41, _x42)), _x32), X2)) → f#(n__f(n__g(n__f(_x41, _x42)), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x92), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(n__f(activate(_x81), _x92), _x62), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(_x131)), _x82)), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(g(f(g(g(_x131)), _x82)), _x92))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x62), _x82), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(f(n__f(f(activate(_x81), _x82), _x62), _x82), _x72), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(_x111, _x112), _x122), _x102), _x72), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(f(n__f(f(f(f(activate(_x111), _x112), _x122), _x102), _x72), _x92))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x111), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(g(_x111), _x92))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x121, _x92)), _x112), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(n__g(n__f(activate(_x121), _x92)), _x112), _x92), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x102), _x82), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(f(f(_x91, _x102), _x82), _x72), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__f(_x51, _x52)), _x52), _x32), X2)) → f#(n__f(n__f(n__g(f(activate(_x51), _x52)), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x111, _x112)), _x72), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(g(f(activate(_x111), _x112)), _x72), _x92), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x62), _x82), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(f(n__f(g(_x101), _x62), _x82), _x72), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x112), _x92), _x52), _x52), _x22), X2)) → f#(f(n__f(n__f(n__f(f(n__g(activate(_x101)), _x112), _x92), _x52), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x101))), _x42), _x22), X2)) → f#(f(f(n__g(g(g(_x101))), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x61), _x82), _x42), _x42), _x32), X2)) → f#(n__f(f(n__f(f(n__g(activate(_x61)), _x82), _x42), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x91, _x92)), _x112), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(n__g(f(activate(_x91), _x92)), _x112), _x92), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__g(n__f(_x61, _x62)), _x32), X2)) → f#(n__f(n__g(f(activate(_x61), _x62)), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x91), _x72), _x62), _x52), _x22), X2)) → f#(f(n__f(f(f(g(_x91), _x72), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x111, _x122), _x102), _x72), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(f(n__f(f(f(_x111, _x122), _x102), _x72), _x92))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(_x81)), _x52), _x22), X2)) → f#(f(n__f(g(g(activate(_x81))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(_x101, _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(g(n__g(f(f(_x101, _x82), _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__g(_x91), _x102), _x82), _x72))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(n__f(f(f(g(activate(_x91)), _x102), _x82), _x72))), _x52), _x32), X2)activate#(n__f(n__f(n__g(_x41), _x32), X2)) → f#(n__f(n__g(_x41), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x111), _x132), _x102), _x92), _x72), _x52), _x22), X2)) → f#(f(n__f(n__f(n__f(f(n__f(g(activate(_x111)), _x132), _x102), _x92), _x72), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x71, _x82), _x62), _x52), _x22), X2)) → f#(f(n__f(f(f(_x71, _x82), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x121, _x122)), _x112), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(g(f(activate(_x121), _x122)), _x112), _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x121, _x122), _x82), _x82), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(f(f(n__f(f(activate(_x121), _x122), _x82), _x82), _x92))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x82), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(n__f(_x101, _x82), _x92), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(n__f(_x121, _x122))), _x72), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(n__g(g(f(activate(_x121), _x122))), _x72), _x92), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__g(_x121), _x102), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(g(f(f(f(g(activate(_x121)), _x102), _x82), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x62), _x52), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(n__f(n__f(activate(_x101), _x62), _x52), _x72), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(_x131), _x132), _x102), _x72), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(f(n__f(f(n__f(g(_x131), _x132), _x102), _x72), _x92))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x132), _x102), _x52), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(n__f(_x91, _x132), _x102), _x52), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x92), _x42), _x42), _x32), X2)) → f#(n__f(f(n__f(n__f(activate(_x81), _x92), _x42), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x91))), _x51), _x22), X2)) → f#(f(f(g(g(activate(_x91))), n__f(n__g(g(g(activate(_x91)))), activate(_x51))), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__g(_x101)))), _x42), _x22), X2)) → f#(f(f(g(g(g(g(activate(_x101))))), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(n__g(_x131))), _x92)), _x92))), _x42), _x32), X2)) → f#(n__f(f(n__g(n__g(f(g(n__f(n__g(g(g(activate(_x131)))), _x92)), _x92))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(n__g(n__g(_x141)))), _x82)), _x92))), _x42), _x32), X2)) → f#(n__f(f(n__g(n__g(f(g(f(n__g(g(n__g(g(activate(_x141))))), _x82)), _x92))), _x42), _x32), X2)activate#(n__f(n__f(_x21, _x32), X2)) → f#(n__f(activate(_x21), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x91)), _x102), _x52), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(n__g(g(activate(_x91))), _x102), _x52), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x81, _x82)), _x112), _x92), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(g(f(activate(_x81), _x82)), _x112), _x92), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x111, _x112), _x92), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(activate(_x111), _x112), _x92), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x121, _x132), _x82), _x82), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(f(f(n__f(n__f(activate(_x121), _x132), _x82), _x82), _x92))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(_x101), _x122), _x102), _x82), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(f(f(f(f(g(activate(_x101)), _x122), _x102), _x82), _x92))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x131, _x122)), _x112), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(n__g(f(_x131, _x122)), _x112), _x92), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x101), _x81))), _x42), _x22), X2)) → f#(f(f(g(n__g(f(activate(_x101), n__f(n__g(activate(_x101)), activate(_x81))))), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x91), _x92), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(n__f(g(activate(_x91)), _x92), _x72), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(n__g(_x131))), _x82)), _x62))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(n__f(g(f(n__g(g(g(activate(_x131)))), _x82)), _x62))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(n__g(_x131))), _x82)), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(g(f(n__g(n__g(g(activate(_x131)))), _x82)), _x92))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(n__g(_x131), _x122)), _x112), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(n__g(f(g(activate(_x131)), _x122)), _x112), _x92), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x121), _x112), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(g(_x121), _x112), _x92), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(_x111, _x112), _x122), _x112), _x92), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(n__f(n__f(n__f(f(n__f(_x111, _x112), _x122), _x112), _x92), _x62))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(n__g(n__g(_x141)))), _x82)), _x92))), _x42), _x32), X2)) → f#(n__f(f(n__g(n__g(f(g(f(n__g(g(g(g(activate(_x141))))), _x82)), _x92))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x61, _x62), _x92), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(activate(_x61), _x62), _x92), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__g(n__g(_x71)), _x22), X2)) → f#(f(g(n__g(_x71)), _x22), X2)
activate#(n__f(_x21, X2)) → f#(_x21, X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x112), _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(f(g(activate(_x101)), _x112), _x92), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x81, _x102), _x52), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(_x81, _x102), _x52), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x61))), _x42), _x32), X2)) → f#(n__f(f(g(g(n__g(_x61))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x71, _x72), _x102), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(f(f(activate(_x71), _x72), _x102), _x82), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x42), _x42), _x32), X2)) → f#(n__f(f(n__f(f(activate(_x81), _x82), _x42), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x121, _x132), _x112), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(f(n__f(n__f(activate(_x121), _x132), _x112), _x82), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x101)), _x62), _x82), _x72), _x32), _x32), X2)) → f#(n__f(n__f(n__f(f(n__f(g(g(activate(_x101))), _x62), _x82), _x72), _x32), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(_x131, _x142), _x122), _x112), _x92), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(n__f(n__f(f(f(_x131, _x142), _x122), _x112), _x92), _x62))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x101), _x82))), _x42), _x22), X2)) → f#(f(f(g(n__g(n__f(g(activate(_x101)), _x82))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x101), _x92))), _x32), _x32), X2)) → f#(n__f(n__f(g(n__g(f(g(activate(_x101)), _x92))), _x32), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x71), _x52), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(g(activate(_x71)), _x52), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x111)), _x72), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(n__g(n__g(activate(_x111))), _x72), _x92), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__g(n__f(n__f(n__g(_x71), _x62), _x52)), _x32), X2)) → f#(n__f(n__g(f(f(g(activate(_x71)), _x62), _x52)), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x131), _x132), _x102), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(n__f(g(_x131), _x132), _x102), _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x141, _x122), _x102), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(f(f(f(_x141, _x122), _x102), _x82), _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x111, _x102)))), _x32), _x32), X2)) → f#(n__f(n__f(g(g(g(f(_x111, _x102)))), _x32), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x141, _x142), _x122), _x102), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(f(f(f(activate(_x141), _x142), _x122), _x102), _x82), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x102), _x92), _x42), _x42), _x32), X2)) → f#(n__f(f(n__f(n__f(f(n__f(activate(_x121), _x132), _x102), _x92), _x42), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(_x151), _x132), _x102), _x82), _x72))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(n__f(f(f(n__f(g(activate(_x151)), _x132), _x102), _x82), _x72))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(n__g(_x141)), _x132), _x112), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(f(n__f(n__f(g(g(activate(_x141))), _x132), _x112), _x82), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(n__g(_x111), _x102)))), _x42), _x22), X2)) → f#(f(f(g(g(g(f(g(activate(_x111)), _x102)))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(_x101), _x82)), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(n__g(f(g(activate(_x101)), _x82)), _x92))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(_x81)), _x52), _x22), X2)) → f#(f(n__f(g(n__g(activate(_x81))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(n__g(n__f(_x141, _x142)))), _x82)), _x92))), _x32), _x32), X2)) → f#(n__f(n__f(g(n__g(f(g(f(n__g(g(g(f(activate(_x141), _x142)))), _x82)), _x92))), _x32), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x91)), _x102), _x82), _x42), _x42), _x32), X2)) → f#(n__f(f(n__f(f(f(n__g(g(activate(_x91))), _x102), _x82), _x42), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x121, _x132), _x92), _x72), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(f(n__f(n__f(n__f(activate(_x121), _x132), _x92), _x72), _x92))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x121, _x122)), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(n__g(f(activate(_x121), _x122)), _x82), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x91), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(n__g(_x91), _x92))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x131, _x132), _x102), _x82), _x72))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(n__f(f(f(f(activate(_x131), _x132), _x102), _x82), _x72))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x111), _x132), _x102), _x92), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(n__f(g(activate(_x111)), _x132), _x102), _x92), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(g(_x82), _x81), _x82), _x72), _x42), _x22), X2)) → f#(f(f(n__f(f(f(_x82, n__f(n__g(_x82), activate(_x81))), _x82), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(_x81, _x82), _x72))), _x52), _x22), X2)) → f#(f(n__f(n__g(g(n__f(f(activate(_x81), _x82), _x72))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x101), _x62))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(n__f(g(activate(_x101)), _x62))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x111, _x112), _x132), _x102), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(n__f(f(activate(_x111), _x112), _x132), _x102), _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(n__f(_x131, _x132))), _x82)), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(g(f(g(g(f(activate(_x131), _x132))), _x82)), _x92))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x101)), _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(g(g(activate(_x101))), _x92), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(n__g(_x111)), _x132), _x82), _x82), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(f(f(n__f(n__f(g(n__g(_x111)), _x132), _x82), _x82), _x92))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x91), _x82), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(n__f(g(activate(_x91)), _x82), _x92), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(_x101, _x102), _x92))), _x42), _x22), X2)) → f#(f(f(n__g(g(f(f(activate(_x101), _x102), _x92))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(n__f(_x131, _x132)), _x132), _x112), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(f(n__f(n__f(g(f(activate(_x131), _x132)), _x132), _x112), _x82), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__f(_x71, _x72)), _x52), _x22), X2)) → f#(f(n__f(g(f(activate(_x71), _x72)), _x52), _x22), X2)
activate#(n__f(n__f(n__g(n__f(n__g(_x61), _x52)), _x32), X2)) → f#(n__f(n__g(f(g(activate(_x61)), _x52)), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x111, _x112), _x92), _x132), _x102), _x82), _x42), _x52), _x32), X2)) → f#(n__f(n__f(n__f(f(f(n__f(f(f(activate(_x111), _x112), _x92), _x132), _x102), _x82), _x42), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x111, _x122), _x102), _x92), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(n__f(n__f(f(f(_x111, _x122), _x102), _x92), _x62))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x91), _x132), _x102), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(n__f(g(activate(_x91)), _x132), _x102), _x92), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x91), _x132), _x102), _x82), _x42), _x52), _x32), X2)) → f#(n__f(n__f(n__f(f(f(n__f(n__g(activate(_x91)), _x132), _x102), _x82), _x42), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(n__g(_x121))), _x72), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(n__g(g(g(activate(_x121)))), _x72), _x92), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x91))), _x42), _x22), X2)) → f#(f(f(g(n__g(g(activate(_x91)))), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(_x121, _x122), _x72), _x72))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(n__f(n__f(_x121, _x122), _x72), _x72))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(_x111), _x122), _x102), _x72), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(f(n__f(f(f(g(activate(_x111)), _x122), _x102), _x72), _x92))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(_x51), _x42), _x32), X2)) → f#(n__f(f(g(activate(_x51)), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x102), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(activate(_x101), _x102), _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(_x101, _x102), _x112), _x72))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(n__f(n__f(f(activate(_x101), _x102), _x112), _x72))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x92), _x102), _x82), _x72), _x52), _x22), X2)) → f#(f(n__f(n__f(f(f(f(activate(_x91), _x92), _x102), _x82), _x72), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x102), _x92), _x62), _x32), _x32), X2)) → f#(n__f(n__f(f(n__f(f(n__f(activate(_x121), _x132), _x102), _x92), _x62), _x32), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(_x81, _x92)), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(g(n__f(activate(_x81), _x92)), _x92))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x82), _x92), _x42), _x52), _x32), X2)) → f#(n__f(n__f(n__f(n__f(n__f(_x101, _x82), _x92), _x42), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(n__g(_x131))), _x82)), _x92))), _x42), _x32), X2)) → f#(n__f(f(n__g(n__g(f(n__g(f(n__g(g(n__g(activate(_x131)))), _x82)), _x92))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(_x91, _x92), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(g(f(n__f(_x91, _x92), _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__g(n__g(n__f(_x71, _x72))), _x22), X2)) → f#(f(g(g(f(activate(_x71), _x72))), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(_x101, _x102), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(f(f(activate(_x101), _x102), _x82), _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(_x111, _x112)), _x92))), _x42), _x22), X2)) → f#(f(f(g(n__g(f(g(f(activate(_x111), _x112)), _x92))), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(_x101, _x102), _x82), _x72))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(f(f(activate(_x101), _x102), _x82), _x72))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(_x141, _x142), _x122), _x102), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(g(f(f(f(f(f(activate(_x141), _x142), _x122), _x102), _x82), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x111, _x92), _x132), _x102), _x62), _x42), _x52), _x32), X2)) → f#(n__f(n__f(n__f(n__f(f(n__f(f(_x111, _x92), _x132), _x102), _x62), _x42), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(_x141, _x142), _x122), _x102), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(f(f(f(f(activate(_x141), _x142), _x122), _x102), _x82), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(n__g(_x131))), _x82)), _x92))), _x42), _x32), X2)) → f#(n__f(f(n__g(n__g(f(g(f(n__g(n__g(g(activate(_x131)))), _x82)), _x92))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(_x51, _x62), _x42), _x32), X2)) → f#(n__f(f(f(_x51, _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x101), _x92))), _x52), _x22), X2)) → f#(f(n__f(g(n__g(f(g(activate(_x101)), _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x91, _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(f(activate(_x91), _x92))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(_x81)), _x42), _x22), X2)) → f#(f(f(n__g(n__g(activate(_x81))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(n__g(_x161)), _x132), _x102), _x82), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(n__f(f(f(n__f(n__g(g(_x161)), _x132), _x102), _x82), _x62))), _x52), _x32), X2)activate#(n__f(n__f(n__f(_x31, _x32), _x32), X2)) → f#(n__f(n__f(_x31, _x32), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x121)), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(n__g(g(activate(_x121))), _x82), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(_x101, _x122), _x82), _x72))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(n__f(f(n__f(activate(_x101), _x122), _x82), _x72))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x92), _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(f(activate(_x91), _x92), _x92), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(_x131, _x142), _x102), _x112), _x92), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(f(_x131, _x142), _x102), _x112), _x92), _x62))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x91))), _x42), _x22), X2)) → f#(f(f(g(g(n__g(activate(_x91)))), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x91, _x92))), _x42), _x22), X2)) → f#(f(f(g(g(f(activate(_x91), _x92))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(n__f(_x131, _x132))), _x112), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(g(g(f(activate(_x131), _x132))), _x112), _x92), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x101), _x61))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(activate(_x101), n__f(n__g(activate(_x101)), activate(_x61))))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(n__g(n__f(_x141, _x142)))), _x82)), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(g(f(n__g(g(n__g(f(activate(_x141), _x142)))), _x82)), _x92))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(n__g(activate(_x101)), _x92), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x102), _x62), _x42), _x52), _x32), X2)) → f#(n__f(n__f(n__f(n__f(f(n__f(activate(_x121), _x132), _x102), _x62), _x42), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x71, _x82), _x92), _x52), _x52), _x22), X2)) → f#(f(n__f(n__f(n__f(n__f(activate(_x71), _x82), _x92), _x52), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x71, _x102), _x82), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(f(f(_x71, _x102), _x82), _x72), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x121), _x102), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(f(g(activate(_x121)), _x102), _x82), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(_x101, _x102), _x132), _x102), _x82), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(f(f(f(n__f(f(activate(_x101), _x102), _x132), _x102), _x82), _x92))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x81))), _x52), _x32), X2)) → f#(n__f(n__f(g(n__g(n__g(_x81))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x101, _x102)))), _x42), _x22), X2)) → f#(f(f(g(g(n__g(f(activate(_x101), _x102)))), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__f(g(_x102), _x101), _x132), _x102), _x82), _x42), _x52), _x32), X2)) → f#(n__f(n__f(n__f(f(f(n__f(f(_x102, n__f(n__g(_x102), activate(_x101))), _x132), _x102), _x82), _x42), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x111), _x132), _x102), _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(f(n__f(n__g(activate(_x111)), _x132), _x102), _x92), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x122), _x112), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(n__f(f(activate(_x121), _x122), _x112), _x82), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__g(n__g(_x51)), _x32), X2)) → f#(n__f(n__g(g(activate(_x51))), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x121, _x132), _x102), _x92), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(n__f(f(n__f(activate(_x121), _x132), _x102), _x92), _x62))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x81), _x72), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(f(g(activate(_x81)), _x72), _x62), _x52), _x32), X2)activate#(n__f(n__f(n__g(n__f(n__g(n__f(_x91, _x92)), _x52)), _x32), X2)) → f#(n__f(n__g(n__f(g(f(activate(_x91), _x92)), _x52)), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(n__g(_x131))), _x82)), _x92))), _x32), _x32), X2)) → f#(n__f(n__f(g(n__g(f(g(f(n__g(g(g(activate(_x131)))), _x82)), _x92))), _x32), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x151, _x132), _x112), _x82), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(f(n__f(n__f(_x151, _x132), _x112), _x82), _x62))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(_x111, _x112), _x72))), _x52), _x22), X2)) → f#(f(n__f(n__g(g(n__f(n__f(_x111, _x112), _x72))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x111, _x112), _x92), _x102), _x82), _x72), _x42), _x22), X2)) → f#(f(f(n__f(f(f(f(f(activate(_x111), _x112), _x92), _x102), _x82), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x101)), _x62), _x82), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(f(n__f(g(n__g(activate(_x101))), _x62), _x82), _x72), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x111), _x92))), _x42), _x22), X2)) → f#(f(f(n__g(n__g(f(g(_x111), _x92))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x81))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(n__g(_x81))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x61, _x62))), _x42), _x32), X2)) → f#(n__f(f(n__g(g(f(activate(_x61), _x62))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x81))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(n__g(_x81))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x132), _x72), _x82), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(f(n__f(n__f(_x91, _x132), _x72), _x82), _x62), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x81, _x132), _x102), _x92), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(n__f(_x81, _x132), _x102), _x92), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__g(_x111)), _x92))), _x42), _x22), X2)) → f#(f(f(g(n__g(f(g(g(activate(_x111))), _x92))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(n__f(_x131, _x132))), _x112), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(n__g(g(f(activate(_x131), _x132))), _x112), _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(_x101, _x102), _x72), _x72))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(n__f(n__f(f(activate(_x101), _x102), _x72), _x72))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(_x131, _x102), _x82), _x72))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(n__f(f(f(_x131, _x102), _x82), _x72))), _x52), _x32), X2)activate#(n__f(n__f(n__g(n__f(n__g(n__g(n__g(_x101))), _x52)), _x22), X2)) → f#(f(n__g(n__f(g(g(g(activate(_x101)))), _x52)), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x81)), _x112), _x92), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(g(g(activate(_x81))), _x112), _x92), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(_x61), _x42), _x32), X2)) → f#(n__f(f(n__g(activate(_x61)), _x42), _x32), X2)
activate#(n__f(n__f(n__g(n__f(n__g(_x51), _x52)), _x32), X2)) → f#(n__f(n__g(n__f(g(activate(_x51)), _x52)), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(n__g(_x141))), _x82)), _x92))), _x42), _x32), X2)) → f#(n__f(f(n__g(n__g(f(g(f(n__g(g(n__g(_x141))), _x82)), _x92))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(_x71), _x52), _x22), X2)) → f#(f(n__f(g(_x71), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x91, _x72))), _x52), _x22), X2)) → f#(f(n__f(g(n__g(n__f(activate(_x91), _x72))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(_x81)), _x42), _x32), X2)) → f#(n__f(f(g(n__g(activate(_x81))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(_x61), _x42), _x22), X2)) → f#(f(f(n__g(activate(_x61)), _x42), _x22), X2)
activate#(n__f(n__f(n__g(n__f(n__g(n__g(_x101)), _x52)), _x22), X2)) → f#(f(n__g(n__f(g(g(_x101)), _x52)), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x111, _x112)), _x112), _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(f(n__g(f(activate(_x111), _x112)), _x112), _x92), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(n__g(_x131))), _x82)), _x92))), _x31), n__g(f(g(f(g(g(g(activate(_x131)))), _x82)), _x92))), X2)) → f#(n__f(f(n__g(f(g(f(g(g(g(activate(_x131)))), _x82)), _x92)), n__f(n__g(n__g(f(g(f(g(g(g(activate(_x131)))), _x82)), _x92))), activate(_x31))), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(n__g(_x161)), _x132), _x112), _x82), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(n__f(f(n__f(n__f(g(g(_x161)), _x132), _x112), _x82), _x62))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(_x61), _x32), _x32), X2)) → f#(n__f(n__f(g(activate(_x61)), _x32), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(n__f(_x131, _x132))), _x112), _x92), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(g(g(f(activate(_x131), _x132))), _x112), _x92), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(n__f(_x121, _x122))), _x72), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(g(g(f(activate(_x121), _x122))), _x72), _x92), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(n__g(_x131))), _x91)), g(g(activate(_x131)))))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(g(f(g(g(activate(_x131))), n__f(n__g(g(g(activate(_x131)))), activate(_x91)))), _x92))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x111)), _x82), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(n__f(n__g(g(activate(_x111))), _x82), _x92), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(n__g(n__f(n__f(_x151, _x152), _x142)))), _x82)), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(g(f(n__g(g(g(f(f(activate(_x151), _x152), _x142)))), _x82)), _x92))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x132), _x102), _x82), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(f(f(n__f(f(activate(_x81), _x82), _x132), _x102), _x82), _x62), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x52), _x62), _x32), _x32), X2)) → f#(n__f(n__f(f(n__f(activate(_x81), _x52), _x62), _x32), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x121)), _x72), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(g(g(_x121)), _x72), _x92), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x51, _x52), _x42), _x42), _x32), X2)) → f#(n__f(f(n__f(f(activate(_x51), _x52), _x42), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(n__g(n__f(_x141, _x142)))), _x82)), _x92))), _x42), _x32), X2)) → f#(n__f(f(n__g(n__g(f(g(f(n__g(g(g(f(activate(_x141), _x142)))), _x82)), _x92))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(_x151), _x132), _x112), _x82), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(f(n__f(n__f(g(activate(_x151)), _x132), _x112), _x82), _x62))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x102), _x132), _x102), _x82), _x42), _x52), _x32), X2)) → f#(n__f(n__f(n__f(f(f(n__f(n__f(activate(_x91), _x102), _x132), _x102), _x82), _x42), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(_x111, _x122), _x122), _x102), _x92), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(n__f(f(f(n__f(activate(_x111), _x122), _x122), _x102), _x92), _x62))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(n__g(_x161)), _x132), _x92), _x92), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(g(g(_x161)), _x132), _x92), _x92), _x62))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x111), _x92))), _x51), _x22), X2)) → f#(f(f(n__g(f(g(_x111), _x92)), n__f(n__g(n__g(f(g(_x111), _x92))), activate(_x51))), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x102), _x62), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(activate(_x101), _x102), _x62), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x111)), _x72), _x92), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(n__f(f(g(g(activate(_x111))), _x72), _x92), _x62), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(n__g(n__g(_x141)), _x122)), _x112), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(n__g(f(g(g(activate(_x141))), _x122)), _x112), _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(_x101), _x82)), _x62))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(n__f(g(f(g(activate(_x101)), _x82)), _x62))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(n__g(n__f(_x141, _x142)))), _x82)), _x92))), _x42), _x32), X2)) → f#(n__f(f(n__g(n__g(f(g(f(n__g(g(n__g(f(activate(_x141), _x142)))), _x82)), _x92))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(_x141, _x142), _x112), _x112), _x82), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(f(n__f(n__f(f(activate(_x141), _x142), _x112), _x112), _x82), _x62))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(_x151), _x132), _x102), _x82), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(n__f(f(f(n__f(g(activate(_x151)), _x132), _x102), _x82), _x62))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(n__g(_x141)), _x132), _x102), _x82), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(f(f(n__f(g(g(activate(_x141))), _x132), _x102), _x82), _x62))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(_x121), _x82)), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(g(f(g(_x121), _x82)), _x92))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x81), _x132), _x62), _x82), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(f(n__f(n__f(g(activate(_x81)), _x132), _x62), _x82), _x62), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x91), _x62), _x42), _x22), X2)) → f#(f(f(f(f(activate(_x101), n__f(n__g(activate(_x101)), activate(_x91))), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x92), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(n__f(n__f(activate(_x121), _x132), _x92), _x92), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(g(_x82), _x81))), _x42), _x22), X2)) → f#(f(f(n__g(g(f(_x82, n__f(n__g(_x82), activate(_x81))))), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x91), _x92))), _x51), _x22), X2)) → f#(f(f(n__g(f(n__g(_x91), _x92)), n__f(n__g(n__g(f(n__g(_x91), _x92))), activate(_x51))), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x91)), _x72), _x62), _x52), _x22), X2)) → f#(f(n__f(f(f(g(g(activate(_x91))), _x72), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x71, _x92), _x52), _x52), _x22), X2)) → f#(f(n__f(n__f(n__f(_x71, _x92), _x52), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x92), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(n__f(g(activate(_x101)), _x92), _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(n__g(_x131))), _x82)), _x92))), _x32), _x32), X2)) → f#(n__f(n__f(n__g(n__g(f(g(f(n__g(g(g(activate(_x131)))), _x82)), _x92))), _x32), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x71), _x102), _x82), _x62), _x32), _x32), X2)) → f#(n__f(n__f(f(f(f(g(activate(_x71)), _x102), _x82), _x62), _x32), _x32), X2)f#(g(X), Y) → f#(X, n__f(n__g(X), activate(Y)))
activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x81))), _x42), _x22), X2)) → f#(f(f(g(g(n__g(_x81))), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x81, _x92))), _x52), _x32), X2)) → f#(n__f(n__f(g(n__g(f(_x81, _x92))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(_x81, _x82)), _x92))), _x32), _x32), X2)) → f#(n__f(n__f(g(n__g(f(g(f(activate(_x81), _x82)), _x92))), _x32), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x72), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(_x91, _x72), _x92), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(_x121)), _x82)), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(g(f(n__g(g(activate(_x121))), _x82)), _x92))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x111)), _x81), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(g(activate(_x111)), n__f(n__g(g(activate(_x111))), activate(_x81))), _x92), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(n__f(_x131, _x132), _x122)), _x112), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(n__g(f(f(activate(_x131), _x132), _x122)), _x112), _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x121, _x132), _x112), _x82), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(f(n__f(n__f(activate(_x121), _x132), _x112), _x82), _x62))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(_x101, _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(f(_x101, _x82), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x111), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(g(activate(_x111)), _x92), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x101), _x92))), _x42), _x32), X2)) → f#(n__f(f(n__g(n__g(f(g(activate(_x101)), _x92))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(n__g(_x141)), _x132), _x112), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(f(n__f(n__f(g(n__g(_x141)), _x132), _x112), _x82), _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x82), _x72), _x42), _x22), X2)) → f#(f(f(n__f(f(n__f(_x81, _x82), _x82), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x111, _x102)))), _x42), _x22), X2)) → f#(f(f(n__g(g(g(f(_x111, _x102)))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(_x101), _x82)), _x92))), _x31), n__g(f(g(f(g(activate(_x101)), _x82)), _x92))), X2)) → f#(n__f(f(n__g(f(g(f(g(activate(_x101)), _x82)), _x92)), n__f(n__g(n__g(f(g(f(g(activate(_x101)), _x82)), _x92))), activate(_x31))), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x71, _x92), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(n__f(_x71, _x92), _x62), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__f(_x81, _x72)), _x52), _x22), X2)) → f#(f(n__f(n__g(f(_x81, _x72)), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x132), _x102), _x82), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(f(f(n__f(_x91, _x132), _x102), _x82), _x62), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x121, _x122), _x92), _x92), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(n__f(n__f(f(activate(_x121), _x122), _x92), _x92), _x62))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(_x151), _x132), _x102), _x92), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(n__f(f(n__f(g(activate(_x151)), _x132), _x102), _x92), _x62))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x91), _x102), _x82), _x72), _x42), _x22), X2)) → f#(f(f(n__f(f(f(g(activate(_x91)), _x102), _x82), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(_x151), _x132), _x112), _x82), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(f(f(n__f(n__f(g(activate(_x151)), _x132), _x112), _x82), _x92))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x71, _x72), _x102), _x82), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(f(f(f(activate(_x71), _x72), _x102), _x82), _x72), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(n__g(_x131))), _x82)), _x92))), _x31), n__g(f(g(f(n__g(g(g(activate(_x131)))), _x82)), _x92))), X2)) → f#(n__f(f(n__g(f(g(f(n__g(g(g(activate(_x131)))), _x82)), _x92)), n__f(n__g(n__g(f(g(f(n__g(g(g(activate(_x131)))), _x82)), _x92))), activate(_x31))), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(_x111), _x132), _x92), _x72), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(f(n__f(n__f(n__f(g(activate(_x111)), _x132), _x92), _x72), _x92))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(g(_x122), _x121), _x122), _x112), _x82), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(f(n__f(f(f(_x122, n__f(n__g(_x122), activate(_x121))), _x122), _x112), _x82), _x62))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x91, _x82))), _x42), _x22), X2)) → f#(f(f(n__g(g(n__f(activate(_x91), _x82))), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x111, _x102)))), _x42), _x22), X2)) → f#(f(f(g(g(n__g(f(_x111, _x102)))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(_x141, _x142), _x122), _x112), _x92), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(n__f(n__f(f(f(activate(_x141), _x142), _x122), _x112), _x92), _x62))), _x52), _x32), X2)activate#(n__f(n__f(n__g(n__f(n__g(_x91), _x52)), _x22), X2)) → f#(f(n__g(n__f(g(_x91), _x52)), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x102), _x52), _x62), _x32), _x32), X2)) → f#(n__f(n__f(f(n__f(f(activate(_x101), _x102), _x52), _x62), _x32), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x101, _x132), _x102), _x82), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(f(f(f(n__f(_x101, _x132), _x102), _x82), _x92))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x81, _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(g(f(_x81, _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x102), _x52), _x42), _x42), _x32), X2)) → f#(n__f(f(n__f(n__f(f(n__f(activate(_x121), _x132), _x102), _x52), _x42), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(_x91)), _x52), _x22), X2)) → f#(f(n__f(n__g(g(_x91)), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x101, _x122), _x102), _x82), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(f(f(f(f(_x101, _x122), _x102), _x82), _x92))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(_x101, _x102), _x82), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(f(f(f(activate(_x101), _x102), _x82), _x92))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x92), _x132), _x72), _x82), _x42), _x52), _x32), X2)) → f#(n__f(n__f(n__f(f(n__f(n__f(f(activate(_x91), _x92), _x132), _x72), _x82), _x42), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x81, _x102), _x82), _x62), _x52), _x22), X2)) → f#(f(n__f(f(f(f(_x81, _x102), _x82), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x112), _x92), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(n__g(activate(_x101)), _x112), _x92), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(_x111, _x112), _x122), _x102), _x92), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(n__f(n__f(f(f(f(activate(_x111), _x112), _x122), _x102), _x92), _x62))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x82), _x72), _x42), _x22), X2)) → f#(f(f(n__f(f(n__g(activate(_x101)), _x82), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__g(_x71), _x62), _x52), _x22), X2)) → f#(f(n__f(f(g(activate(_x71)), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x111, _x132), _x92), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(n__f(n__f(_x111, _x132), _x92), _x92), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(n__g(_x141)), _x132), _x102), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(f(f(n__f(n__g(n__g(_x141)), _x132), _x102), _x82), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x121, _x122), _x102), _x92), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(g(f(n__f(f(f(activate(_x121), _x122), _x102), _x92), _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__g(n__g(_x51)), _x32), X2)) → f#(n__f(g(g(activate(_x51))), _x32), X2)activate#(n__f(n__f(n__g(n__f(g(_x52), _x51)), _x22), X2)) → f#(f(n__g(f(_x52, n__f(n__g(_x52), activate(_x51)))), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x81), _x112), _x92), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(g(_x81), _x112), _x92), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x91, _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(activate(_x91), _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x71, _x92))), _x52), _x32), X2)) → f#(n__f(n__f(g(n__g(f(_x71, _x92))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(n__g(_x131))), _x82)), _x92))), _x32), _x32), X2)) → f#(n__f(n__f(n__g(n__g(f(g(f(n__g(g(n__g(activate(_x131)))), _x82)), _x92))), _x32), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x72), _x82), _x62), _x52), _x22), X2)) → f#(f(n__f(f(f(n__f(n__f(activate(_x121), _x132), _x72), _x82), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(_x81, _x82)), _x92))), _x31), n__g(f(g(f(activate(_x81), _x82)), _x92))), X2)) → f#(n__f(f(n__g(f(g(f(activate(_x81), _x82)), _x92)), n__f(n__g(n__g(f(g(f(activate(_x81), _x82)), _x92))), activate(_x31))), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(n__g(_x131))), _x82)), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(g(f(n__g(g(n__g(activate(_x131)))), _x82)), _x92))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(n__g(_x131), _x111)), activate(_x131)), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(n__g(f(activate(_x131), n__f(n__g(activate(_x131)), activate(_x111)))), _x112), _x92), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(n__g(n__f(_x141, _x142)))), _x82)), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(g(f(g(g(g(f(activate(_x141), _x142)))), _x82)), _x92))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x91))), _x52), _x22), X2)) → f#(f(n__f(g(g(g(activate(_x91)))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x151, _x132), _x102), _x82), _x72))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(n__f(f(f(n__f(_x151, _x132), _x102), _x82), _x72))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(_x101), _x82)), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(g(f(n__g(activate(_x101)), _x82)), _x92))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(_x71)), _x52), _x22), X2)) → f#(f(n__f(n__g(g(activate(_x71))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x72), _x62), _x52), _x22), X2)) → f#(f(n__f(f(f(f(activate(_x81), _x82), _x72), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x121)), _x132), _x102), _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(f(n__f(g(g(activate(_x121))), _x132), _x102), _x92), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x81), _x62), _x52), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(n__f(n__f(g(activate(_x81)), _x62), _x52), _x72), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x91), _x72), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(n__g(activate(_x91)), _x72), _x92), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x111)), _x72), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(g(n__g(activate(_x111))), _x72), _x92), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x122), _x102), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(f(f(activate(_x121), _x122), _x102), _x82), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(_x81, _x82)), _x61))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(f(activate(_x81), _x82), n__f(n__g(f(activate(_x81), _x82)), activate(_x61))))), _x42), _x32), X2)
activate#(n__f(X1, X2)) → activate#(X1)activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x101, _x102)))), _x42), _x22), X2)) → f#(f(f(g(n__g(g(f(activate(_x101), _x102)))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(n__g(_x161)), _x132), _x102), _x72), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(f(n__f(f(n__f(g(g(_x161)), _x132), _x102), _x72), _x92))), _x52), _x32), X2)activate#(n__f(n__g(_x21), X2)) → f#(g(activate(_x21)), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x91, _x92)))), _x42), _x22), X2)) → f#(f(f(g(g(g(n__f(_x91, _x92)))), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x91), activate(_x101)), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(activate(_x101), n__f(n__g(activate(_x101)), activate(_x91))), _x92), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(_x121, _x122), _x82), _x72))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(n__f(f(n__f(_x121, _x122), _x82), _x72))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(n__f(_x111, _x112), _x102)))), _x42), _x22), X2)) → f#(f(f(g(g(g(f(f(activate(_x111), _x112), _x102)))), _x42), _x22), X2)
activate#(n__g(X)) → activate#(X)activate#(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x81)), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(n__g(g(activate(_x81))), _x82), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__g(_x51), _x32), X2)) → f#(n__f(g(_x51), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(g(_x122), _x121), _x122), _x112), _x82), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(n__f(f(n__f(f(f(_x122, n__f(n__g(_x122), activate(_x121))), _x122), _x112), _x82), _x62))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(n__g(_x141))), _x82)), _x92))), _x42), _x32), X2)) → f#(n__f(f(n__g(n__g(f(g(f(n__g(g(g(_x141))), _x82)), _x92))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x112), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(g(activate(_x101)), _x112), _x92), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(_x131, _x142), _x112), _x112), _x82), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(n__f(f(n__f(n__f(f(_x131, _x142), _x112), _x112), _x82), _x62))), _x52), _x32), X2)activate#(n__f(n__f(n__g(n__f(n__f(n__g(_x91), _x82), _x52)), _x22), X2)) → f#(f(n__g(n__f(f(g(activate(_x91)), _x82), _x52)), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x71, _x72), _x52), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(activate(_x71), _x72), _x52), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x92), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(n__f(n__g(activate(_x101)), _x92), _x92), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x71, _x72), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(f(activate(_x71), _x72), _x62), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(n__g(_x131), _x122)), _x112), _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(f(n__g(f(g(activate(_x131)), _x122)), _x112), _x92), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__g(_x32), _x31), X2)) → f#(f(_x32, n__f(n__g(_x32), activate(_x31))), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x132), _x102), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(n__f(_x91, _x132), _x102), _x92), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x82), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(n__f(g(activate(_x101)), _x82), _x92), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(n__g(_x141)), _x132), _x102), _x82), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(f(f(f(n__f(g(g(activate(_x141))), _x132), _x102), _x82), _x92))), _x52), _x32), X2)
activate#(n__f(n__f(n__g(n__f(n__g(_x71), _x62)), _x22), X2)) → f#(f(n__g(f(g(activate(_x71)), _x62)), _x22), X2)activate#(n__f(n__f(n__g(_x61), _x22), X2)) → f#(f(n__g(_x61), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(n__g(_x111))), _x62), _x82), _x72), _x32), _x32), X2)) → f#(n__f(n__f(n__f(f(n__f(g(g(g(activate(_x111)))), _x62), _x82), _x72), _x32), _x32), X2)activate#(n__f(n__f(n__g(n__g(_x61)), _x32), X2)) → f#(n__f(g(g(activate(_x61))), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(_x81, _x82), _x82), _x72))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(f(n__f(_x81, _x82), _x82), _x72))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x72), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(n__f(n__f(activate(_x121), _x132), _x72), _x92), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x91, _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(f(activate(_x91), _x92))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(n__f(_x141, _x142)), _x132), _x102), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(f(f(n__f(g(f(activate(_x141), _x142)), _x132), _x102), _x82), _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(n__f(_x141, _x142)), _x132), _x102), _x82), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(f(f(n__f(g(f(activate(_x141), _x142)), _x132), _x102), _x82), _x62))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x132), _x72), _x62), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(n__f(n__f(_x91, _x132), _x72), _x62), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(n__g(_x131))), _x82)), _x92))), _x42), _x32), X2)) → f#(n__f(f(n__g(n__g(f(n__g(f(n__g(g(g(activate(_x131)))), _x82)), _x92))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x111, _x92), _x102), _x82), _x72), _x42), _x22), X2)) → f#(f(f(n__f(f(f(f(_x111, _x92), _x102), _x82), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(_x141), _x122), _x102), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(g(f(f(f(f(g(activate(_x141)), _x122), _x102), _x82), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x101, _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(g(f(_x101, _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x121, _x122)), _x112), _x92), _x52), _x52), _x22), X2)) → f#(f(n__f(n__f(n__f(f(n__g(f(activate(_x121), _x122)), _x112), _x92), _x52), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x72), _x82), _x42), _x52), _x32), X2)) → f#(n__f(n__f(n__f(f(n__f(n__f(activate(_x121), _x132), _x72), _x82), _x42), _x52), _x32), X2)
activate#(n__f(n__f(n__f(g(_x32), _x31), _x32), X2)) → f#(n__f(f(_x32, n__f(n__g(_x32), activate(_x31))), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(n__g(_x131))), _x82)), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(g(f(g(g(n__g(activate(_x131)))), _x82)), _x92))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(_x61), _x51), _x22), X2)) → f#(f(f(activate(_x61), n__f(n__g(activate(_x61)), activate(_x51))), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x91)), _x102), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(f(g(g(activate(_x91))), _x102), _x82), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x71, _x72), _x82), _x62), _x52), _x22), X2)) → f#(f(n__f(f(f(f(activate(_x71), _x72), _x82), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x81), _x62), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(g(activate(_x81)), _x62), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x101), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(n__g(activate(_x101)), _x92))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__f(n__f(_x81, _x82), _x72)), _x52), _x22), X2)) → f#(f(n__f(n__g(f(f(activate(_x81), _x82), _x72)), _x52), _x22), X2)
activate#(n__f(n__f(n__g(n__f(n__f(n__g(_x101), _x72), _x52)), _x22), X2)) → f#(f(n__g(n__f(n__f(g(activate(_x101)), _x72), _x52)), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(_x141), _x122), _x102), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(f(f(f(g(activate(_x141)), _x122), _x102), _x82), _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(n__g(_x161)), _x132), _x102), _x82), _x72))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(n__f(f(f(n__f(g(g(_x161)), _x132), _x102), _x82), _x72))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x112), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(n__g(_x101), _x112), _x92), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(n__f(_x131, _x132), _x112), _x122), _x102), _x92), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(n__f(f(f(f(f(activate(_x131), _x132), _x112), _x122), _x102), _x92), _x62))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x91), _x92))), _x52), _x22), X2)) → f#(f(n__f(g(n__g(f(n__g(_x91), _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x111), _x92), _x132), _x102), _x82), _x42), _x52), _x32), X2)) → f#(n__f(n__f(n__f(f(f(n__f(f(g(activate(_x111)), _x92), _x132), _x102), _x82), _x42), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x121, _x122)), _x72), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(n__f(n__g(f(activate(_x121), _x122)), _x72), _x92), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x111, _x132), _x82), _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(n__f(n__f(_x111, _x132), _x82), _x92), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(_x71)), _x42), _x22), X2)) → f#(f(f(n__g(n__g(_x71)), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(_x81, _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(f(activate(_x81), _x82), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(n__g(_x141))), _x82)), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(g(f(g(g(g(_x141))), _x82)), _x92))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x102), _x82), _x42), _x42), _x32), X2)) → f#(n__f(f(n__f(f(f(activate(_x101), _x102), _x82), _x42), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x92), _x132), _x102), _x52), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(n__f(f(activate(_x91), _x92), _x132), _x102), _x52), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x101, _x92))), _x42), _x22), X2)) → f#(f(f(n__g(n__g(f(_x101, _x92))), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x81), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(n__g(_x81), _x82), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x92), _x72), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(f(activate(_x91), _x92), _x72), _x92), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x92), _x62), _x32), _x32), X2)) → f#(n__f(n__f(f(n__f(activate(_x81), _x92), _x62), _x32), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(n__g(_x161), _x142), _x122), _x102), _x82), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(f(f(f(f(g(activate(_x161)), _x142), _x122), _x102), _x82), _x62))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__g(_x81), _x62), _x42), _x22), X2)) → f#(f(f(f(g(activate(_x81)), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x102), _x82), _x92), _x42), _x52), _x32), X2)) → f#(n__f(n__f(n__f(n__f(n__f(f(activate(_x101), _x102), _x82), _x92), _x42), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(_x121, _x122), _x102), _x72))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(n__f(n__f(n__f(_x121, _x122), _x102), _x72))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x82), _x72), _x42), _x22), X2)) → f#(f(f(n__f(f(g(activate(_x101)), _x82), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(_x51, _x52), _x42), _x32), X2)) → f#(n__f(f(f(activate(_x51), _x52), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x101, _x102)))), _x42), _x22), X2)) → f#(f(f(n__g(g(g(f(activate(_x101), _x102)))), _x42), _x22), X2)activate#(n__f(n__f(n__g(n__f(n__g(n__g(n__f(_x101, _x102))), _x52)), _x22), X2)) → f#(f(n__g(n__f(g(g(f(activate(_x101), _x102))), _x52)), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x112), _x92), _x42), _x42), _x32), X2)) → f#(n__f(f(n__f(n__f(f(g(activate(_x101)), _x112), _x92), _x42), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x102), _x82), _x72), _x52), _x22), X2)) → f#(f(n__f(n__f(f(f(_x91, _x102), _x82), _x72), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(n__g(_x131), _x122)), _x92), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(n__f(n__g(f(g(activate(_x131)), _x122)), _x92), _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x111, _x102)))), _x52), _x22), X2)) → f#(f(n__f(g(g(g(f(_x111, _x102)))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(n__g(_x131))), _x82)), _x61))), _x42), _x32), X2)) → f#(n__f(f(n__g(n__g(f(f(n__g(g(n__g(activate(_x131)))), _x82), n__f(n__g(f(n__g(g(n__g(activate(_x131)))), _x82)), activate(_x61))))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x121, _x132), _x102), _x82), _x72))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(n__f(f(f(n__f(activate(_x121), _x132), _x102), _x82), _x72))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(n__g(_x121)), _x132), _x102), _x92), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(n__f(n__f(f(n__f(g(n__g(_x121)), _x132), _x102), _x92), _x62))), _x52), _x32), X2)activate#(n__f(n__f(n__g(n__f(n__f(_x61, _x62), _x42)), _x32), X2)) → f#(n__f(n__g(n__f(f(activate(_x61), _x62), _x42)), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x92), _x132), _x102), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(n__f(f(activate(_x91), _x92), _x132), _x102), _x92), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__g(n__f(_x81, _x52)), _x22), X2)) → f#(f(n__g(n__f(_x81, _x52)), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x111), _x132), _x102), _x92), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(n__f(f(n__f(g(activate(_x111)), _x132), _x102), _x92), _x72), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x132), _x102), _x62), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(n__f(_x91, _x132), _x102), _x62), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(g(_x72), _x71))), _x52), _x22), X2)) → f#(f(n__f(g(n__g(f(_x72, n__f(n__g(_x72), activate(_x71))))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(_x121)), _x82)), _x61))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(f(g(g(activate(_x121))), _x82), n__f(n__g(f(g(g(activate(_x121))), _x82)), activate(_x61))))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x121)), _x112), _x92), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(g(g(activate(_x121))), _x112), _x92), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(_x51, _x42), _x32), X2)) → f#(n__f(f(_x51, _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(n__g(n__f(_x141, _x142)))), _x82)), _x62))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(n__f(g(f(n__g(g(g(f(activate(_x141), _x142)))), _x82)), _x62))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x92), _x82), _x82), _x72), _x42), _x22), X2)) → f#(f(f(n__f(f(n__f(f(activate(_x91), _x92), _x82), _x82), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x101))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(g(_x101))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(_x81)), _x51), _x22), X2)) → f#(f(f(n__g(activate(_x81)), n__f(n__g(n__g(activate(_x81))), activate(_x51))), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x71), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(g(n__g(f(g(activate(_x71)), _x92))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x121)), _x112), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(g(n__g(activate(_x121))), _x112), _x92), _x62), _x42), _x22), X2)
f#(g(X), Y) → activate#(Y)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__g(_x111), _x82), _x72))), _x52), _x22), X2)) → f#(f(n__f(g(n__g(n__f(f(g(activate(_x111)), _x82), _x72))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(_x121, _x122), _x102), _x72))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(n__f(n__f(n__f(_x121, _x122), _x102), _x72))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(n__g(n__f(_x141, _x142)))), _x82)), _x61))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(f(n__g(g(g(f(activate(_x141), _x142)))), _x82), n__f(n__g(f(n__g(g(g(f(activate(_x141), _x142)))), _x82)), activate(_x61))))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(_x131, _x142), _x112), _x112), _x82), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(f(n__f(n__f(f(_x131, _x142), _x112), _x112), _x82), _x62))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x101)), _x102), _x52), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(g(g(activate(_x101))), _x102), _x52), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x121, _x102), _x102), _x72), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(f(n__f(f(n__f(activate(_x121), _x102), _x102), _x72), _x92))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(n__g(_x131))), _x82)), _x62))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(n__f(g(f(g(g(g(activate(_x131)))), _x82)), _x62))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(n__g(_x101))), _x102), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(f(n__g(g(g(activate(_x101)))), _x102), _x82), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x82), _x82), _x72), _x42), _x22), X2)) → f#(f(f(n__f(f(n__f(activate(_x101), _x82), _x82), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x91), _x92), _x72), _x52), _x22), X2)) → f#(f(n__f(n__f(n__f(g(activate(_x91)), _x92), _x72), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x61), _x92), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(g(activate(_x61)), _x92), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x101, _x102), _x102), _x92), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(n__f(f(n__f(_x101, _x102), _x102), _x92), _x62))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x91, _x72))), _x52), _x22), X2)) → f#(f(n__f(n__g(g(n__f(activate(_x91), _x72))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(n__g(_x161)), _x132), _x112), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(f(n__f(n__f(g(g(_x161)), _x132), _x112), _x82), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(n__g(_x131))), _x82)), _x92))), _x42), _x32), X2)) → f#(n__f(f(n__g(n__g(f(g(f(n__g(n__g(n__g(activate(_x131)))), _x82)), _x92))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x121), _x112), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(n__g(_x121), _x112), _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x91), _x102), _x82), _x62), _x32), _x32), X2)) → f#(n__f(n__f(f(f(f(n__g(_x91), _x102), _x82), _x62), _x32), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x61), _x82), _x62), _x32), _x32), X2)) → f#(n__f(n__f(f(f(n__g(activate(_x61)), _x82), _x62), _x32), _x32), X2)activate#(n__f(n__f(n__g(n__f(n__f(n__f(_x101, _x102), _x72), _x52)), _x22), X2)) → f#(f(n__g(n__f(n__f(f(activate(_x101), _x102), _x72), _x52)), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x102), _x102), _x82), _x72), _x42), _x22), X2)) → f#(f(f(n__f(f(f(n__f(activate(_x91), _x102), _x102), _x82), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(f(activate(_x81), _x82), _x62), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x121), _x112), _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(f(g(_x121), _x112), _x92), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x101), _x92))), _x42), _x22), X2)) → f#(f(f(n__g(n__g(f(g(activate(_x101)), _x92))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x121), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(g(_x121), _x82), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x101, _x92))), _x42), _x32), X2)) → f#(n__f(f(n__g(g(f(_x101, _x92))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(n__g(_x131))), _x112), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(g(g(g(activate(_x131)))), _x112), _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x121), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(n__g(_x121), _x82), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x102), _x82), _x72), _x42), _x22), X2)) → f#(f(f(n__f(f(f(n__f(activate(_x121), _x132), _x102), _x82), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x92), _x52), _x52), _x22), X2)) → f#(f(n__f(n__f(n__f(activate(_x81), _x92), _x52), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x112), _x92), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(n__f(f(n__g(activate(_x101)), _x112), _x92), _x72), _x42), _x32), X2)activate#(n__f(n__f(n__g(n__f(n__f(_x81, _x72), _x52)), _x32), X2)) → f#(n__f(n__g(n__f(n__f(activate(_x81), _x72), _x52)), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(g(_x112), _x111), _x72))), _x52), _x22), X2)) → f#(f(n__f(n__g(g(n__f(f(_x112, n__f(n__g(_x112), activate(_x111))), _x72))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(n__g(_x131), _x142), _x122), _x112), _x82), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(f(n__f(f(f(g(activate(_x131)), _x142), _x122), _x112), _x82), _x62))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x121, _x122), _x92), _x72), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(f(n__f(n__f(f(activate(_x121), _x122), _x92), _x72), _x92))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(_x111, _x112), _x122), _x92), _x92), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(n__f(n__f(f(f(activate(_x111), _x112), _x122), _x92), _x92), _x62))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x132), _x102), _x82), _x42), _x52), _x32), X2)) → f#(n__f(n__f(n__f(f(f(n__f(_x91, _x132), _x102), _x82), _x42), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x121, _x122)), _x112), _x92), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(n__g(f(activate(_x121), _x122)), _x112), _x92), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(_x101, _x82), _x72))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(f(_x101, _x82), _x72))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(n__g(n__f(_x141, _x142)))), _x82)), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(g(f(n__g(n__g(g(f(activate(_x141), _x142)))), _x82)), _x92))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(_x101, _x102), _x112), _x72))), _x52), _x22), X2)) → f#(f(n__f(n__g(g(n__f(n__f(f(activate(_x101), _x102), _x112), _x72))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x71), _x62), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(n__f(n__g(activate(_x71)), _x62), _x82), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x101, _x92))), _x51), _x22), X2)) → f#(f(f(n__g(f(_x101, _x92)), n__f(n__g(n__g(f(_x101, _x92))), activate(_x51))), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x101))), _x42), _x32), X2)) → f#(n__f(f(n__g(g(g(_x101))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x121, _x102), _x102), _x92), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(n__f(f(n__f(activate(_x121), _x102), _x102), _x92), _x62))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x81), _x62), _x82), _x72), _x32), _x32), X2)) → f#(n__f(n__f(n__f(f(n__f(n__g(activate(_x81)), _x62), _x82), _x72), _x32), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x102), _x52), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(g(_x101), _x102), _x52), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x61), _x92), activate(_x101)), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(activate(_x101), n__f(n__g(activate(_x101)), activate(_x61))), _x92), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x91), _x82))), _x42), _x22), X2)) → f#(f(f(g(n__g(n__f(n__g(_x91), _x82))), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(n__g(_x131))), _x82)), _x62))), _x42), _x32), X2)) → f#(n__f(f(n__g(n__g(n__f(g(f(n__g(g(n__g(activate(_x131)))), _x82)), _x62))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x72), _x82), _x62), _x52), _x22), X2)) → f#(f(n__f(f(f(n__f(activate(_x101), _x72), _x82), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x91), _x102), _x82), _x42), _x42), _x32), X2)) → f#(n__f(f(n__f(f(f(n__g(_x91), _x102), _x82), _x42), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x102), _x82), _x62), _x52), _x22), X2)) → f#(f(n__f(f(f(f(f(activate(_x81), _x82), _x102), _x82), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x141, _x122), _x102), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(g(f(f(f(f(_x141, _x122), _x102), _x82), _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x151, _x132), _x102), _x92), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(n__f(f(n__f(_x151, _x132), _x102), _x92), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x111, _x132), _x102), _x92), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(n__f(f(n__f(_x111, _x132), _x102), _x92), _x72), _x42), _x32), X2)
activate#(n__f(n__f(n__f(_x41, _x32), _x32), X2)) → f#(n__f(n__f(activate(_x41), _x32), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(_x121)), _x82)), _x92))), _x31), n__g(f(g(f(g(g(activate(_x121))), _x82)), _x92))), X2)) → f#(n__f(f(n__g(f(g(f(g(g(activate(_x121))), _x82)), _x92)), n__f(n__g(n__g(f(g(f(g(g(activate(_x121))), _x82)), _x92))), activate(_x31))), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x62), _x92), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(n__f(g(activate(_x101)), _x62), _x92), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x101)), _x62), _x82), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(f(n__f(n__g(g(activate(_x101))), _x62), _x82), _x72), _x42), _x32), X2)
activate#(n__f(n__f(n__g(n__f(_x51, _x52)), _x32), X2)) → f#(n__f(n__g(n__f(_x51, _x52)), _x32), X2)activate#(n__f(n__f(n__g(n__f(n__f(_x71, _x62), _x52)), _x32), X2)) → f#(n__f(n__g(f(f(_x71, _x62), _x52)), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x71, _x52), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(_x71, _x52), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__g(_x51), _x62), _x42), _x32), X2)) → f#(n__f(f(f(g(activate(_x51)), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x62), _x61))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(_x62, n__f(n__g(_x62), activate(_x61))))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(_x61), _x52), _x32), X2)) → f#(n__f(n__f(g(activate(_x61)), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x91), _x112), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(n__g(_x91), _x112), _x92), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x131)), _x112), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(g(g(_x131)), _x112), _x92), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x91), _x72), _x92), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(n__f(f(g(activate(_x91)), _x72), _x92), _x62), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x121)), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(g(g(activate(_x121))), _x82), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(_x61, _x42), _x42), _x32), X2)) → f#(n__f(f(n__f(activate(_x61), _x42), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x121, _x122), _x102), _x82), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(n__f(f(f(f(activate(_x121), _x122), _x102), _x82), _x62))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(_x61, _x72), _x42), _x22), X2)) → f#(f(f(n__f(activate(_x61), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__f(_x41, _x52), _x22), X2)) → f#(f(n__f(activate(_x41), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x91, _x92))), _x42), _x22), X2)) → f#(f(f(n__g(n__g(f(activate(_x91), _x92))), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(n__g(_x141)), _x132), _x102), _x82), _x72))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(n__f(f(f(n__f(g(g(activate(_x141))), _x132), _x102), _x82), _x72))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__f(_x121, _x122)), _x82)), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(g(f(g(f(activate(_x121), _x122)), _x82)), _x92))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x121, _x122), _x102), _x72), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(f(n__f(f(f(activate(_x121), _x122), _x102), _x72), _x92))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x92), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(n__f(activate(_x81), _x92), _x72), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(n__g(_x121))), _x62), _x82), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(f(n__f(g(g(g(_x121))), _x62), _x82), _x72), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(_x61)), _x42), _x32), X2)) → f#(n__f(f(n__g(g(_x61)), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x101, _x102)), _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(g(f(activate(_x101), _x102)), _x92), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__g(n__g(n__f(_x71, _x72))), _x22), X2)) → f#(f(g(n__g(f(activate(_x71), _x72))), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x121, _x122), _x112), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(f(n__f(f(activate(_x121), _x122), _x112), _x82), _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x81), _x62), _x82), _x72), _x32), _x32), X2)) → f#(n__f(n__f(n__f(f(n__f(g(activate(_x81)), _x62), _x82), _x72), _x32), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(_x141, _x122), _x122), _x112), _x82), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(f(n__f(f(n__f(activate(_x141), _x122), _x122), _x112), _x82), _x62))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(n__g(n__f(_x141, _x142)))), _x92)), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(g(n__f(n__g(g(g(f(activate(_x141), _x142)))), _x92)), _x92))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(n__g(_x141)), _x132), _x102), _x82), _x72))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(n__f(f(f(n__f(g(n__g(_x141)), _x132), _x102), _x82), _x72))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(n__g(_x131))), _x82)), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(n__g(f(n__g(g(g(activate(_x131)))), _x82)), _x92))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x81), _x102), _x52), _x62), _x32), _x32), X2)) → f#(n__f(n__f(f(n__f(f(g(activate(_x81)), _x102), _x52), _x62), _x32), _x32), X2)
activate#(n__f(n__f(n__f(g(_x52), _x51), _x22), X2)) → f#(f(f(_x52, n__f(n__g(_x52), activate(_x51))), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x102), _x52), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(n__f(f(activate(_x101), _x102), _x52), _x72), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(_x121)), _x91)), g(activate(_x121))))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(g(f(g(activate(_x121)), n__f(n__g(g(activate(_x121))), activate(_x91)))), _x92))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x111), _x72), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(g(_x111), _x72), _x92), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x81), _x92))), _x52), _x22), X2)) → f#(f(n__f(g(n__g(f(g(activate(_x81)), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x81, _x82))), _x42), _x22), X2)) → f#(f(f(g(n__g(n__f(_x81, _x82))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(n__f(_x131, _x132)), _x132), _x102), _x72), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(f(n__f(f(n__f(g(f(activate(_x131), _x132)), _x132), _x102), _x72), _x92))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x102), _x52), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(f(activate(_x81), _x82), _x102), _x52), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x91), _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(n__g(activate(_x91)), _x92), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x91, _x92))), _x51), _x22), X2)) → f#(f(f(n__g(f(activate(_x91), _x92)), n__f(n__g(n__g(f(activate(_x91), _x92))), activate(_x51))), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(n__g(_x111)), _x132), _x102), _x82), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(n__f(f(f(n__f(g(n__g(_x111)), _x132), _x102), _x82), _x62))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x52), _x52), _x22), X2)) → f#(f(n__f(n__f(f(activate(_x81), _x82), _x52), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x71), _x102), _x82), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(f(f(g(activate(_x71)), _x102), _x82), _x72), _x42), _x32), X2)activate#(n__f(n__f(g(_x32), _x31), X2)) → f#(f(_x32, n__f(n__g(_x32), activate(_x31))), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x91, _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(_x91, _x92), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x81, _x82), _x82), _x92), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(n__f(n__f(f(activate(_x81), _x82), _x82), _x92), _x62), _x52), _x32), X2)
activate#(n__f(n__f(n__g(n__f(n__f(_x101, _x72), _x52)), _x22), X2)) → f#(f(n__g(n__f(n__f(_x101, _x72), _x52)), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(n__g(_x111)), _x132), _x102), _x72), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(f(n__f(f(n__f(g(n__g(_x111)), _x132), _x102), _x72), _x92))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(_x111), _x132), _x102), _x72), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(n__f(n__f(f(n__f(g(activate(_x111)), _x132), _x102), _x72), _x62))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x91))), _x42), _x22), X2)) → f#(f(f(n__g(g(g(activate(_x91)))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(_x101, _x102), _x92), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(g(f(n__f(f(activate(_x101), _x102), _x92), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x111, _x132), _x102), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(n__f(_x111, _x132), _x102), _x92), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(_x71)), _x52), _x22), X2)) → f#(f(n__f(g(g(activate(_x71))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x121)), _x92), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(n__f(g(g(activate(_x121))), _x92), _x92), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(_x161, _x142), _x122), _x102), _x82), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(f(f(f(f(_x161, _x142), _x122), _x102), _x82), _x62))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x112), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(n__f(activate(_x101), _x112), _x82), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(n__g(_x131))), _x82)), _x61))), _x42), _x32), X2)) → f#(n__f(f(n__g(n__g(f(f(n__g(g(g(activate(_x131)))), _x82), n__f(n__g(f(n__g(g(g(activate(_x131)))), _x82)), activate(_x61))))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x71, _x72), _x92), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(n__f(f(activate(_x71), _x72), _x92), _x62), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(_x151), _x132), _x102), _x82), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(f(f(n__f(n__g(activate(_x151)), _x132), _x102), _x82), _x62))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x62), _x82), _x72), _x32), _x32), X2)) → f#(n__f(n__f(n__f(f(n__f(activate(_x101), _x62), _x82), _x72), _x32), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x111), _x112), _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(f(n__g(_x111), _x112), _x92), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x72), _x52), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(n__f(n__f(activate(_x121), _x132), _x72), _x52), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x121)), _x72), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(n__g(g(_x121)), _x72), _x92), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x111, _x102)))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(g(f(_x111, _x102)))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x101, _x102)), _x132), _x102), _x82), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(f(f(n__f(g(f(activate(_x101), _x102)), _x132), _x102), _x82), _x62), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x92), _x91), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(_x92, n__f(n__g(_x92), activate(_x91))), _x92), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(n__g(_x111))), _x62), _x82), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(f(n__f(n__g(g(g(activate(_x111)))), _x62), _x82), _x72), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x141, _x122), _x102), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(f(f(_x141, _x122), _x102), _x82), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x121, _x122)))), _x62), _x82), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(f(n__f(g(g(g(f(activate(_x121), _x122)))), _x62), _x82), _x72), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x141), _x132))), _x112), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(g(g(f(g(activate(_x141)), _x132))), _x112), _x92), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x81), _x132), _x102), _x82), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(f(f(n__f(n__g(activate(_x81)), _x132), _x102), _x82), _x62), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x91)), _x112), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(n__g(g(activate(_x91))), _x112), _x92), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x121, _x112)), _x112), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(n__g(n__f(activate(_x121), _x112)), _x112), _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x101), _x92))), _x31), n__g(f(g(activate(_x101)), _x92))), X2)) → f#(n__f(f(n__g(f(g(activate(_x101)), _x92)), n__f(n__g(n__g(f(g(activate(_x101)), _x92))), activate(_x31))), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(_x121)), _x82)), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(g(f(g(n__g(activate(_x121))), _x82)), _x92))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x91, _x92)), _x102), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(f(n__g(f(activate(_x91), _x92)), _x102), _x82), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x92), _x102), _x82), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(f(f(f(activate(_x91), _x92), _x102), _x82), _x72), _x42), _x32), X2)activate#(n__f(n__f(n__g(n__g(_x71)), _x22), X2)) → f#(f(g(g(_x71)), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x71), _x102), _x52), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(n__g(activate(_x71)), _x102), _x52), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x101))), _x51), _x22), X2)) → f#(f(f(g(g(_x101)), n__f(n__g(g(g(_x101))), activate(_x51))), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(_x121)), _x82)), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(n__g(f(g(g(activate(_x121))), _x82)), _x92))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x81), _x62), _x52), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(n__f(n__f(n__g(activate(_x81)), _x62), _x52), _x72), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x91), _x102), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(f(g(_x91), _x102), _x82), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x71), _x102), _x82), _x42), _x42), _x32), X2)) → f#(n__f(f(n__f(f(f(n__g(activate(_x71)), _x102), _x82), _x42), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(_x141, _x142), _x122), _x102), _x82), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(n__f(f(f(f(f(activate(_x141), _x142), _x122), _x102), _x82), _x62))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x81), _x102), _x82), _x62), _x52), _x22), X2)) → f#(f(n__f(f(f(f(g(activate(_x81)), _x102), _x82), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x91)), _x102), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(f(n__g(n__g(activate(_x91))), _x102), _x82), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(_x81, _x82)), _x92))), _x42), _x32), X2)) → f#(n__f(f(n__g(n__g(f(g(f(activate(_x81), _x82)), _x92))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x141), _x122), _x102), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(f(f(g(activate(_x141)), _x122), _x102), _x82), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x121), _x132), _x102), _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(f(n__f(g(_x121), _x132), _x102), _x92), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__g(n__f(_x51, _x42)), _x32), X2)) → f#(n__f(n__g(n__f(activate(_x51), _x42)), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(_x91, _x102), _x82), _x72))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(n__f(f(f(_x91, _x102), _x82), _x72))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(_x111, _x112), _x102), _x102), _x92), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(n__f(f(n__f(f(activate(_x111), _x112), _x102), _x102), _x92), _x62))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x121, _x92), _x102), _x82), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(f(f(f(n__f(activate(_x121), _x92), _x102), _x82), _x92))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(g(_x92), _x91)))), _x42), _x22), X2)) → f#(f(f(g(g(g(f(_x92, n__f(n__g(_x92), activate(_x91)))))), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x71), _x62), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(n__f(g(activate(_x71)), _x62), _x82), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x111, _x92), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(n__f(activate(_x111), _x92), _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x111)), _x72), _x92), _x52), _x52), _x22), X2)) → f#(f(n__f(n__f(n__f(f(g(g(activate(_x111))), _x72), _x92), _x52), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x111), _x132), _x92), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(n__f(n__f(g(activate(_x111)), _x132), _x92), _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(n__g(_x131), _x122)), _x112), _x92), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(n__g(f(g(activate(_x131)), _x122)), _x112), _x92), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(n__g(_x131))), _x82)), _x92))), _x42), _x32), X2)) → f#(n__f(f(n__g(n__g(f(g(f(g(g(g(activate(_x131)))), _x82)), _x92))), _x42), _x32), X2)activate#(n__f(n__f(n__g(n__g(_x61)), _x31), X2)) → f#(f(g(activate(_x61)), n__f(n__g(g(activate(_x61))), activate(_x31))), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(_x81, _x82), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(f(f(activate(_x81), _x82), _x92))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(n__g(_x131), _x112), _x122), _x102), _x92), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(n__f(f(f(f(g(activate(_x131)), _x112), _x122), _x102), _x92), _x62))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x91, _x92))), _x42), _x32), X2)) → f#(n__f(f(n__g(g(f(activate(_x91), _x92))), _x42), _x32), X2)activate#(n__f(n__f(n__g(n__f(n__f(_x61, _x52), _x52)), _x32), X2)) → f#(n__f(n__g(f(n__f(activate(_x61), _x52), _x52)), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x81), _x61), activate(_x81)), _x52), _x22), X2)) → f#(f(n__f(f(f(activate(_x81), n__f(n__g(activate(_x81)), activate(_x61))), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x61), _x52), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(n__g(activate(_x61)), _x52), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x111)), _x62), _x82), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(f(n__f(g(g(_x111)), _x62), _x82), _x72), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x102), _x82), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(f(f(activate(_x101), _x102), _x82), _x62), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x81), _x132), _x102), _x92), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(n__f(g(activate(_x81)), _x132), _x102), _x92), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x111, _x102)))), _x31), g(g(f(_x111, _x102)))), X2)) → f#(n__f(f(g(g(f(_x111, _x102))), n__f(n__g(g(g(f(_x111, _x102)))), activate(_x31))), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x101))), _x32), _x32), X2)) → f#(n__f(n__f(g(g(g(_x101))), _x32), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(n__g(n__f(_x151, _x142)))), _x82)), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(g(f(n__g(g(g(f(_x151, _x142)))), _x82)), _x92))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(_x81, _x82), _x72))), _x52), _x32), X2)) → f#(n__f(n__f(g(n__g(n__f(f(activate(_x81), _x82), _x72))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(_x81)), _x42), _x32), X2)) → f#(n__f(f(g(g(activate(_x81))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x102), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(f(_x121, _x102), _x82), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__g(n__f(n__f(_x71, _x72), _x62)), _x22), X2)) → f#(f(n__g(f(f(activate(_x71), _x72), _x62)), _x22), X2)
activate#(n__f(n__f(n__g(n__f(n__g(n__g(_x91)), _x52)), _x32), X2)) → f#(n__f(n__g(n__f(g(g(activate(_x91))), _x52)), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x81), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(g(f(g(activate(_x81)), _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(_x141), _x132), _x102), _x82), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(f(f(n__f(g(_x141), _x132), _x102), _x82), _x62))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x61), _x51), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(activate(_x61), n__f(n__g(activate(_x61)), activate(_x51))), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(n__g(_x141)), _x132), _x102), _x92), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(n__f(f(n__f(g(n__g(_x141)), _x132), _x102), _x92), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x81), _x132), _x102), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(f(n__f(g(activate(_x81)), _x132), _x102), _x82), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x111, _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(_x111, _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(_x81))), _x42), _x22), X2)) → f#(f(f(n__g(n__g(n__g(_x81))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(_x91)), _x42), _x22), X2)) → f#(f(f(g(g(_x91)), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(_x51), _x42), _x32), X2)) → f#(n__f(f(g(_x51), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(_x121)), _x82)), _x62))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(n__f(g(f(g(g(activate(_x121))), _x82)), _x62))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(_x151), _x132), _x102), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(f(f(n__f(n__g(activate(_x151)), _x132), _x102), _x82), _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(_x141), _x122), _x102), _x82), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(f(f(f(g(activate(_x141)), _x122), _x102), _x82), _x62))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(_x61, _x62), _x32), _x32), X2)) → f#(n__f(n__f(f(activate(_x61), _x62), _x32), _x32), X2)
activate#(n__f(n__f(n__g(n__f(_x61, _x52)), _x32), X2)) → f#(n__f(n__g(f(_x61, _x52)), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x71, _x52), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(_x71, _x52), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__g(n__f(n__f(n__f(_x91, _x92), _x82), _x52)), _x22), X2)) → f#(f(n__g(n__f(f(f(activate(_x91), _x92), _x82), _x52)), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(n__g(_x131))), _x92)), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(g(n__f(g(g(g(activate(_x131)))), _x92)), _x92))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(_x101), _x91)), activate(_x101)))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(g(f(activate(_x101), n__f(n__g(activate(_x101)), activate(_x91)))), _x92))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(g(_x82), _x81))), _x42), _x22), X2)) → f#(f(f(g(n__g(f(_x82, n__f(n__g(_x82), activate(_x81))))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(_x101, _x102), _x122), _x102), _x82), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(f(f(f(f(f(activate(_x101), _x102), _x122), _x102), _x82), _x92))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x82), _x92), _x42), _x52), _x32), X2)) → f#(n__f(n__f(n__f(n__f(n__f(g(activate(_x101)), _x82), _x92), _x42), _x52), _x32), X2)
activate#(n__f(n__f(n__g(n__f(n__f(_x51, _x52), _x52)), _x32), X2)) → f#(n__f(n__g(n__f(f(activate(_x51), _x52), _x52)), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x71), _x52), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(g(activate(_x71)), _x52), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(_x71), _x52), _x32), X2)) → f#(n__f(n__f(n__g(_x71), _x52), _x32), X2)activate#(n__f(n__f(n__g(n__f(g(_x42), _x41)), _x32), X2)) → f#(n__f(n__g(f(_x42, n__f(n__g(_x42), activate(_x41)))), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x91, _x92), _x102), _x82), _x72))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(n__f(f(f(f(activate(_x91), _x92), _x102), _x82), _x72))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(_x101, _x82), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(f(f(_x101, _x82), _x92))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x151, _x132), _x102), _x82), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(n__f(f(f(n__f(_x151, _x132), _x102), _x82), _x62))), _x52), _x32), X2)activate#(n__f(n__f(n__g(n__f(n__g(n__f(n__f(_x101, _x102), _x92)), _x52)), _x22), X2)) → f#(f(n__g(n__f(g(f(f(activate(_x101), _x102), _x92)), _x52)), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(n__g(_x101), _x122)), _x112), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(f(n__g(f(g(activate(_x101)), _x122)), _x112), _x92), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(n__g(_x141))), _x82)), _x92))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(g(f(n__g(g(g(_x141))), _x82)), _x92))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__g(_x101), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(g(f(f(g(activate(_x101)), _x82), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__g(n__f(n__f(n__f(_x71, _x72), _x62), _x52)), _x32), X2)) → f#(n__f(n__g(f(f(f(activate(_x71), _x72), _x62), _x52)), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(_x101, _x102), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(g(n__g(f(f(f(activate(_x101), _x102), _x82), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x111), _x92), _x102), _x82), _x72), _x42), _x22), X2)) → f#(f(f(n__f(f(f(f(g(activate(_x111)), _x92), _x102), _x82), _x72), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(_x51)), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(activate(_x51))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x151), _x132), _x102), _x82), _x62), _x42), _x22), X2)) → f#(f(f(f(f(f(n__f(g(activate(_x151)), _x132), _x102), _x82), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x51, _x52), _x62), _x32), _x32), X2)) → f#(n__f(n__f(f(f(activate(_x51), _x52), _x62), _x32), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x101, _x102)), _x102), _x52), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(g(f(activate(_x101), _x102)), _x102), _x52), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x102), _x92), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(n__f(f(n__f(activate(_x121), _x132), _x102), _x92), _x62), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x82), _x62), _x52), _x22), X2)) → f#(f(n__f(f(f(g(activate(_x101)), _x82), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(_x91)), _x42), _x22), X2)) → f#(f(f(g(n__g(_x91)), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x71, _x72))), _x52), _x22), X2)) → f#(f(n__f(g(n__g(n__f(_x71, _x72))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__g(n__g(_x161)), _x132), _x102), _x92), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(n__f(n__f(f(n__f(n__g(g(_x161)), _x132), _x102), _x92), _x62))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x111), _x82))), _x42), _x22), X2)) → f#(f(f(g(n__g(n__f(g(_x111), _x82))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(_x91, _x82))), _x42), _x22), X2)) → f#(f(f(g(n__g(n__f(activate(_x91), _x82))), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x92), _x72), _x52), _x22), X2)) → f#(f(n__f(n__f(n__f(activate(_x81), _x92), _x72), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(_x111, _x112), _x132), _x102), _x72), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(f(n__f(f(n__f(f(activate(_x111), _x112), _x132), _x102), _x72), _x92))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x81), _x71), _x52), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(f(activate(_x81), n__f(n__g(activate(_x81)), activate(_x71))), _x52), _x62), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x102), _x82), _x62), _x32), _x32), X2)) → f#(n__f(n__f(f(f(f(activate(_x101), _x102), _x82), _x62), _x32), _x32), X2)activate#(n__f(n__f(n__g(n__f(n__g(n__g(_x91)), _x52)), _x22), X2)) → f#(f(n__g(n__f(g(n__g(activate(_x91))), _x52)), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(n__f(_x141, _x132))), _x112), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(g(g(f(_x141, _x132))), _x112), _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__g(n__f(n__f(_x81, _x82), _x52)), _x32), X2)) → f#(n__f(n__g(n__f(f(activate(_x81), _x82), _x52)), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x101, _x102)))), _x42), _x32), X2)) → f#(n__f(f(g(g(g(f(activate(_x101), _x102)))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(_x51), _x52), _x32), X2)) → f#(n__f(n__f(n__g(_x51), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x131, _x132), _x102), _x82), _x72))), _x52), _x22), X2)) → f#(f(n__f(n__g(g(n__f(f(f(f(activate(_x131), _x132), _x102), _x82), _x72))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(_x101, _x102), _x52), _x42), _x42), _x32), X2)) → f#(n__f(f(n__f(n__f(f(activate(_x101), _x102), _x52), _x42), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x131, _x132)), _x132), _x102), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(n__f(g(f(activate(_x131), _x132)), _x132), _x102), _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x111)), _x72), _x92), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(n__f(f(n__g(g(activate(_x111))), _x72), _x92), _x62), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x102), _x82), _x52), _x52), _x22), X2)) → f#(f(n__f(n__f(f(f(n__f(activate(_x121), _x132), _x102), _x82), _x52), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(_x121, _x122), _x82), _x72))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(n__f(f(n__f(_x121, _x122), _x82), _x72))), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(_x101)), _x102), _x82), _x62), _x42), _x32), X2)) → f#(n__f(f(f(f(f(n__g(g(_x101)), _x102), _x82), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(_x151, _x152), _x132), _x102), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(f(f(f(n__f(f(activate(_x151), _x152), _x132), _x102), _x82), _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(n__f(_x131, _x132), _x142), _x122), _x112), _x82), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(f(n__f(f(f(f(activate(_x131), _x132), _x142), _x122), _x112), _x82), _x62))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__g(_x131), _x102), _x82), _x72))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(n__f(f(f(g(activate(_x131)), _x102), _x82), _x72))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(_x131, _x102), _x82), _x72))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(n__f(f(f(_x131, _x102), _x82), _x72))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x111, _x102)))), _x42), _x22), X2)) → f#(f(f(g(n__g(g(f(_x111, _x102)))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(_x131, _x102), _x112), _x72))), _x52), _x22), X2)) → f#(f(n__f(n__g(g(n__f(n__f(f(_x131, _x102), _x112), _x72))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x111, _x102)))), _x42), _x32), X2)) → f#(n__f(f(n__g(g(g(f(_x111, _x102)))), _x42), _x32), X2)
activate#(n__f(n__f(n__g(n__g(_x61)), _x32), X2)) → f#(n__f(g(n__g(activate(_x61))), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x91, _x92), _x132), _x102), _x82), _x62), _x52), _x22), X2)) → f#(f(n__f(f(f(f(n__f(f(activate(_x91), _x92), _x132), _x102), _x82), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(n__f(_x131, _x122))), _x112), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(g(g(n__f(activate(_x131), _x122))), _x112), _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__g(n__f(_x61, _x62)), _x22), X2)) → f#(f(g(f(activate(_x61), _x62)), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__f(_x51, _x52)), _x42), _x32), X2)) → f#(n__f(f(g(f(activate(_x51), _x52)), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(_x101, _x102), _x92))), _x42), _x22), X2)) → f#(f(f(g(n__g(f(f(activate(_x101), _x102), _x92))), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x101), _x112), _x92), _x72), _x52), _x22), X2)) → f#(f(n__f(n__f(n__f(f(n__g(activate(_x101)), _x112), _x92), _x72), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(n__g(_x131))), _x82)), _x61))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(f(g(g(g(activate(_x131)))), _x82), n__f(n__g(f(g(g(g(activate(_x131)))), _x82)), activate(_x61))))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(_x81, _x82)), _x62))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(n__f(g(f(activate(_x81), _x82)), _x62))), _x42), _x32), X2)activate#(n__f(n__f(n__g(n__g(n__g(_x71))), _x22), X2)) → f#(f(g(g(g(activate(_x71)))), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x61), _x52), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(g(activate(_x61)), _x52), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x81), _x102), _x52), _x42), _x42), _x32), X2)) → f#(n__f(f(n__f(n__f(f(g(activate(_x81)), _x102), _x52), _x42), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(_x71, _x72), _x92))), _x52), _x32), X2)) → f#(n__f(n__f(g(n__g(f(f(activate(_x71), _x72), _x92))), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__g(_x71), _x92), _x62), _x52), _x22), X2)) → f#(f(n__f(f(n__f(g(activate(_x71)), _x92), _x62), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x51, _x62), _x62), _x42), _x32), X2)) → f#(n__f(f(f(n__f(activate(_x51), _x62), _x62), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(_x111), _x92))), _x52), _x22), X2)) → f#(f(n__f(g(n__g(f(g(_x111), _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(_x101, _x82), _x72))), _x52), _x22), X2)) → f#(f(n__f(n__g(n__g(n__f(f(_x101, _x82), _x72))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__g(_x81), _x42), _x22), X2)) → f#(f(f(g(_x81), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(n__f(_x131, _x132))), _x112), _x92), _x72), _x42), _x22), X2)) → f#(f(f(n__f(n__f(f(g(g(f(activate(_x131), _x132))), _x112), _x92), _x72), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(_x121, _x132), _x62), _x82), _x62), _x52), _x32), X2)) → f#(n__f(n__f(f(f(n__f(n__f(activate(_x121), _x132), _x62), _x82), _x62), _x52), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__f(_x71, _x72)), _x52), _x32), X2)) → f#(n__f(n__f(n__g(f(activate(_x71), _x72)), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__g(n__f(_x111, _x102)))), _x42), _x32), X2)) → f#(n__f(f(g(g(n__g(f(_x111, _x102)))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x72), _x62), _x52), _x22), X2)) → f#(f(n__f(f(f(_x81, _x72), _x62), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(_x81, _x62), _x42), _x22), X2)) → f#(f(f(f(_x81, _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__g(n__f(n__g(n__g(n__g(_x131))), _x82)), _x61))), _x42), _x32), X2)) → f#(n__f(f(g(n__g(f(f(n__g(g(g(activate(_x131)))), _x82), n__f(n__g(f(n__g(g(g(activate(_x131)))), _x82)), activate(_x61))))), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__f(n__g(_x81), _x72)), _x52), _x22), X2)) → f#(f(n__f(n__g(f(g(activate(_x81)), _x72)), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x121, _x132), _x102), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(g(f(f(f(n__f(activate(_x121), _x132), _x102), _x82), _x92))), _x52), _x22), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x121, _x122)), _x92), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(n__f(n__g(f(activate(_x121), _x122)), _x92), _x92), _x62), _x42), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__f(n__g(_x111), _x132), _x102), _x82), _x42), _x52), _x32), X2)) → f#(n__f(n__f(n__f(f(f(n__f(g(_x111), _x132), _x102), _x82), _x42), _x52), _x32), X2)activate#(n__f(n__f(n__f(n__g(n__g(_x81)), _x42), _x32), X2)) → f#(n__f(f(n__g(n__g(activate(_x81))), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__g(n__f(_x131, _x132))), _x112), _x92), _x62), _x42), _x22), X2)) → f#(f(f(f(n__f(f(g(n__g(f(activate(_x131), _x132))), _x112), _x92), _x62), _x42), _x22), X2)activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x121, _x122), _x112), _x82), _x92))), _x52), _x22), X2)) → f#(f(n__f(n__g(g(f(f(n__f(f(activate(_x121), _x122), _x112), _x82), _x92))), _x52), _x22), X2)
activate#(n__f(n__f(n__f(n__f(n__f(_x81, _x52), _x42), _x42), _x32), X2)) → f#(n__f(f(n__f(n__f(activate(_x81), _x52), _x42), _x42), _x32), X2)activate#(n__f(n__f(n__f(n__f(n__f(n__f(n__g(n__f(_x101, _x102)), _x62), _x82), _x72), _x42), _x32), X2)) → f#(n__f(f(n__f(f(n__f(n__g(f(activate(_x101), _x102)), _x62), _x82), _x72), _x42), _x32), X2)
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(n__f(_x151, _x152), _x132), _x102), _x82), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(g(n__f(f(f(n__f(f(activate(_x151), _x152), _x132), _x102), _x82), _x62))), _x52), _x32), X2)

Rewrite Rules

f(g(X), Y) → f(X, n__f(n__g(X), activate(Y)))f(X1, X2) → n__f(X1, X2)
g(X) → n__g(X)activate(n__f(X1, X2)) → f(activate(X1), X2)
activate(n__g(X)) → g(activate(X))activate(X) → X

Original Signature

Termination of terms over the following signature is verified: activate, f, g, n__f, n__g

Strategy

The right-hand side of the rule activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x151, _x132), _x102), _x92), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(n__f(n__f(f(n__f(_x151, _x132), _x102), _x92), _x62))), _x52), _x32), X2) 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
f#(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x151, _x132), _x92), _x92), _x62))), _x52), _x32), X2) 
Thus, the rule activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x151, _x132), _x102), _x92), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(n__f(n__f(f(n__f(_x151, _x132), _x102), _x92), _x62))), _x52), _x32), X2) is replaced by the following rules:
activate#(n__f(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x151, _x132), _x92), _x92), _x62))), _x52), _x32), X2)) → f#(n__f(n__f(n__g(n__g(n__f(n__f(n__f(n__f(_x151, _x132), _x92), _x92), _x62))), _x52), _x32), X2)