TIMEOUT

The TRS could not be proven terminating. The proof attempt took 60000 ms.

The following DP Processors were used


Problem 1 was processed with processor DependencyGraph (33ms).
 | – Problem 2 was processed with processor PolynomialLinearRange4iUR (675ms).
 |    | – Problem 3 was processed with processor ForwardNarrowing (2ms).
 |    |    | – Problem 4 was processed with processor ForwardNarrowing (4ms).
 |    |    |    | – Problem 5 was processed with processor ForwardNarrowing (2ms).
 |    |    |    |    | – Problem 6 was processed with processor ForwardNarrowing (4ms).
 |    |    |    |    |    | – Problem 7 was processed with processor ForwardNarrowing (4ms).
 |    |    |    |    |    |    | – Problem 8 was processed with processor ForwardNarrowing (5ms).
 |    |    |    |    |    |    |    | – Problem 9 was processed with processor ForwardNarrowing (8ms).
 |    |    |    |    |    |    |    |    | – Problem 10 was processed with processor ForwardNarrowing (7ms).
 |    |    |    |    |    |    |    |    |    | – Problem 11 was processed with processor ForwardNarrowing (4ms).
 |    |    |    |    |    |    |    |    |    |    | – Problem 12 was processed with processor ForwardNarrowing (3ms).
 |    |    |    |    |    |    |    |    |    |    |    | – Problem 13 was processed with processor ForwardNarrowing (6ms).
 |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 14 was processed with processor ForwardNarrowing (46ms).
 |    |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 15 was processed with processor ForwardNarrowing (5ms).
 |    |    |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 16 was processed with processor ForwardNarrowing (8ms).
 |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 17 was processed with processor ForwardNarrowing (6ms).
 |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 18 was processed with processor ForwardNarrowing (12ms).
 |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 19 was processed with processor ForwardNarrowing (9ms).
 |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 20 was processed with processor ForwardNarrowing (9ms).
 |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 21 was processed with processor ForwardNarrowing (7ms).
 |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 22 was processed with processor ForwardNarrowing (42ms).
 |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 23 was processed with processor ForwardNarrowing (9ms).
 |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 24 was processed with processor ForwardNarrowing (58ms).
 |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 25 was processed with processor ForwardNarrowing (338ms).
 |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 26 was processed with processor ForwardNarrowing (489ms).
 |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 27 remains open; application of the following processors failed [ForwardNarrowing (393ms), ForwardNarrowing (464ms), ForwardNarrowing (255ms), ForwardNarrowing (464ms), ForwardNarrowing (481ms), ForwardNarrowing (470ms), ForwardNarrowing (319ms), ForwardNarrowing (115ms), ForwardNarrowing (490ms), ForwardNarrowing (503ms), ForwardNarrowing (timeout)].

The following open problems remain:

Open Dependency Pair Problem 3

Dependency Pairs

c#(a(c(c(y)), x)) → c#(c(c(a(x, 0))))

Rewrite Rules

a(a(y, 0), 0) → yc(c(y)) → y
c(a(c(c(y)), x)) → a(c(c(c(a(x, 0)))), y)

Original Signature

Termination of terms over the following signature is verified: 0, c, a

Problem 1: DependencyGraph

Dependency Pair Problem

Dependency Pairs

c#(a(c(c(y)), x)) → c#(c(c(a(x, 0))))c#(a(c(c(y)), x)) → c#(c(a(x, 0)))
c#(a(c(c(y)), x)) → a#(c(c(c(a(x, 0)))), y)c#(a(c(c(y)), x)) → c#(a(x, 0))
c#(a(c(c(y)), x)) → a#(x, 0)

Rewrite Rules

a(a(y, 0), 0) → yc(c(y)) → y
c(a(c(c(y)), x)) → a(c(c(c(a(x, 0)))), y)

Original Signature

Termination of terms over the following signature is verified: 0, c, a

Strategy

The following SCCs where found

c#(a(c(c(y)), x)) → c#(c(c(a(x, 0))))c#(a(c(c(y)), x)) → c#(c(a(x, 0)))
c#(a(c(c(y)), x)) → c#(a(x, 0))

Problem 2: PolynomialLinearRange4iUR

Dependency Pair Problem

Dependency Pairs

c#(a(c(c(y)), x)) → c#(c(c(a(x, 0))))c#(a(c(c(y)), x)) → c#(c(a(x, 0)))
c#(a(c(c(y)), x)) → c#(a(x, 0))

Rewrite Rules

a(a(y, 0), 0) → yc(c(y)) → y
c(a(c(c(y)), x)) → a(c(c(c(a(x, 0)))), y)

Original Signature

Termination of terms over the following signature is verified: 0, c, a

Strategy

Polynomial Interpretation

Improved Usable rules

c(a(c(c(y)), x)) → a(c(c(c(a(x, 0)))), y)c(c(y)) → y
a(a(y, 0), 0) → y

The following dependency pairs are strictly oriented by an ordering on the given polynomial interpretation, thus they are removed:

c#(a(c(c(y)), x)) → c#(c(a(x, 0)))c#(a(c(c(y)), x)) → c#(a(x, 0))

Problem 3: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

c#(a(c(c(y)), x)) → c#(c(c(a(x, 0))))

Rewrite Rules

a(a(y, 0), 0) → yc(c(y)) → y
c(a(c(c(y)), x)) → a(c(c(c(a(x, 0)))), y)

Original Signature

Termination of terms over the following signature is verified: 0, c, a

Strategy

The right-hand side of the rule c#(a(c(c(y)), x)) → c#(c(c(a(x, 0)))) 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
c#(a(x, 0)) 
c#(c(a(c(c(c(a(0, 0)))), _x31))) 
c#(c(c(_x41))) 
Thus, the rule c#(a(c(c(y)), x)) → c#(c(c(a(x, 0)))) is replaced by the following rules:
c#(a(c(c(y)), x)) → c#(a(x, 0))c#(a(c(c(y)), a(_x41, 0))) → c#(c(c(_x41)))
c#(a(c(c(y)), c(c(_x31)))) → c#(c(a(c(c(c(a(0, 0)))), _x31)))

Problem 4: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

c#(a(c(c(y)), x)) → c#(a(x, 0))c#(a(c(c(y)), a(_x41, 0))) → c#(c(c(_x41)))
c#(a(c(c(y)), c(c(_x31)))) → c#(c(a(c(c(c(a(0, 0)))), _x31)))

Rewrite Rules

a(a(y, 0), 0) → yc(c(y)) → y
c(a(c(c(y)), x)) → a(c(c(c(a(x, 0)))), y)

Original Signature

Termination of terms over the following signature is verified: 0, c, a

Strategy

The right-hand side of the rule c#(a(c(c(y)), a(_x41, 0))) → c#(c(c(_x41))) 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
c#(c(_x31)) 
c#(_x21) 
c#(c(a(c(c(c(a(_x32, 0)))), _x31))) 
Thus, the rule c#(a(c(c(y)), a(_x41, 0))) → c#(c(c(_x41))) is replaced by the following rules:
c#(a(c(c(y)), a(a(c(c(_x31)), _x32), 0))) → c#(c(a(c(c(c(a(_x32, 0)))), _x31)))c#(a(c(c(y)), a(_x21, 0))) → c#(_x21)
c#(a(c(c(y)), a(c(_x31), 0))) → c#(c(_x31))

Problem 5: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

c#(a(c(c(y)), a(a(c(c(_x31)), _x32), 0))) → c#(c(a(c(c(c(a(_x32, 0)))), _x31)))c#(a(c(c(y)), a(_x21, 0))) → c#(_x21)
c#(a(c(c(y)), x)) → c#(a(x, 0))c#(a(c(c(y)), a(c(_x31), 0))) → c#(c(_x31))
c#(a(c(c(y)), c(c(_x31)))) → c#(c(a(c(c(c(a(0, 0)))), _x31)))

Rewrite Rules

a(a(y, 0), 0) → yc(c(y)) → y
c(a(c(c(y)), x)) → a(c(c(c(a(x, 0)))), y)

Original Signature

Termination of terms over the following signature is verified: 0, c, a

Strategy

The right-hand side of the rule c#(a(c(c(y)), a(a(c(c(_x31)), _x32), 0))) → c#(c(a(c(c(c(a(_x32, 0)))), _x31))) 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
c#(c(a(c(a(_x32, 0)), _x31))) 
c#(c(a(c(c(c(_x81))), _x31))) 
c#(a(c(c(c(a(_x22, 0)))), c(a(_x32, 0)))) 
c#(c(a(c(c(a(c(c(c(a(0, 0)))), _x71))), _x31))) 
Thus, the rule c#(a(c(c(y)), a(a(c(c(_x31)), _x32), 0))) → c#(c(a(c(c(c(a(_x32, 0)))), _x31))) is replaced by the following rules:
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x71))), 0))) → c#(c(a(c(c(a(c(c(c(a(0, 0)))), _x71))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), a(_x81, 0)), 0))) → c#(c(a(c(c(c(_x81))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), _x32), 0))) → c#(c(a(c(a(_x32, 0)), _x31)))c#(a(c(c(y)), a(a(c(c(_x22)), _x32), 0))) → c#(a(c(c(c(a(_x22, 0)))), c(a(_x32, 0))))

Problem 6: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x71))), 0))) → c#(c(a(c(c(a(c(c(c(a(0, 0)))), _x71))), _x31)))c#(a(c(c(y)), a(_x21, 0))) → c#(_x21)
c#(a(c(c(y)), x)) → c#(a(x, 0))c#(a(c(c(y)), a(a(c(c(_x31)), a(_x81, 0)), 0))) → c#(c(a(c(c(c(_x81))), _x31)))
c#(a(c(c(y)), a(c(_x31), 0))) → c#(c(_x31))c#(a(c(c(y)), c(c(_x31)))) → c#(c(a(c(c(c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), _x32), 0))) → c#(c(a(c(a(_x32, 0)), _x31)))c#(a(c(c(y)), a(a(c(c(_x22)), _x32), 0))) → c#(a(c(c(c(a(_x22, 0)))), c(a(_x32, 0))))

Rewrite Rules

a(a(y, 0), 0) → yc(c(y)) → y
c(a(c(c(y)), x)) → a(c(c(c(a(x, 0)))), y)

Original Signature

Termination of terms over the following signature is verified: 0, c, a

Strategy

The right-hand side of the rule c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x71))), 0))) → c#(c(a(c(c(a(c(c(c(a(0, 0)))), _x71))), _x31))) 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
c#(c(a(a(c(c(c(a(0, 0)))), _x71), _x31))) 
c#(c(a(c(a(c(c(c(a(_x62, 0)))), c(a(0, 0)))), _x31))) 
c#(a(c(c(c(a(_x22, 0)))), a(c(c(c(a(0, 0)))), _x71))) 
c#(c(a(c(c(a(c(a(0, 0)), _x71))), _x31))) 
Thus, the rule c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x71))), 0))) → c#(c(a(c(c(a(c(c(c(a(0, 0)))), _x71))), _x31))) is replaced by the following rules:
c#(a(c(c(y)), a(a(c(c(_x22)), c(c(_x71))), 0))) → c#(a(c(c(c(a(_x22, 0)))), a(c(c(c(a(0, 0)))), _x71)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x71))), 0))) → c#(c(a(c(c(a(c(a(0, 0)), _x71))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x62))), 0))) → c#(c(a(c(a(c(c(c(a(_x62, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x71))), 0))) → c#(c(a(a(c(c(c(a(0, 0)))), _x71), _x31)))

Problem 7: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

c#(a(c(c(y)), a(a(c(c(_x22)), c(c(_x71))), 0))) → c#(a(c(c(c(a(_x22, 0)))), a(c(c(c(a(0, 0)))), _x71)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x71))), 0))) → c#(c(a(c(c(a(c(a(0, 0)), _x71))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x62))), 0))) → c#(c(a(c(a(c(c(c(a(_x62, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(_x21, 0))) → c#(_x21)
c#(a(c(c(y)), x)) → c#(a(x, 0))c#(a(c(c(y)), a(a(c(c(_x31)), a(_x81, 0)), 0))) → c#(c(a(c(c(c(_x81))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x71))), 0))) → c#(c(a(a(c(c(c(a(0, 0)))), _x71), _x31)))c#(a(c(c(y)), a(c(_x31), 0))) → c#(c(_x31))
c#(a(c(c(y)), a(a(c(c(_x31)), _x32), 0))) → c#(c(a(c(a(_x32, 0)), _x31)))c#(a(c(c(y)), c(c(_x31)))) → c#(c(a(c(c(c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x22)), _x32), 0))) → c#(a(c(c(c(a(_x22, 0)))), c(a(_x32, 0))))

Rewrite Rules

a(a(y, 0), 0) → yc(c(y)) → y
c(a(c(c(y)), x)) → a(c(c(c(a(x, 0)))), y)

Original Signature

Termination of terms over the following signature is verified: 0, c, a

Strategy

The right-hand side of the rule c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x71))), 0))) → c#(c(a(c(c(a(c(a(0, 0)), _x71))), _x31))) 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
c#(a(c(c(c(a(_x22, 0)))), a(c(a(0, 0)), _x71))) 
c#(c(a(a(c(a(0, 0)), _x71), _x31))) 
Thus, the rule c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x71))), 0))) → c#(c(a(c(c(a(c(a(0, 0)), _x71))), _x31))) is replaced by the following rules:
c#(a(c(c(y)), a(a(c(c(_x22)), c(c(_x71))), 0))) → c#(a(c(c(c(a(_x22, 0)))), a(c(a(0, 0)), _x71)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x71))), 0))) → c#(c(a(a(c(a(0, 0)), _x71), _x31)))

Problem 8: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

c#(a(c(c(y)), a(a(c(c(_x22)), c(c(_x71))), 0))) → c#(a(c(c(c(a(_x22, 0)))), a(c(c(c(a(0, 0)))), _x71)))c#(a(c(c(y)), a(a(c(c(_x22)), c(c(_x71))), 0))) → c#(a(c(c(c(a(_x22, 0)))), a(c(a(0, 0)), _x71)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x62))), 0))) → c#(c(a(c(a(c(c(c(a(_x62, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x71))), 0))) → c#(c(a(a(c(a(0, 0)), _x71), _x31)))
c#(a(c(c(y)), a(_x21, 0))) → c#(_x21)c#(a(c(c(y)), x)) → c#(a(x, 0))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x71))), 0))) → c#(c(a(a(c(c(c(a(0, 0)))), _x71), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), a(_x81, 0)), 0))) → c#(c(a(c(c(c(_x81))), _x31)))
c#(a(c(c(y)), a(c(_x31), 0))) → c#(c(_x31))c#(a(c(c(y)), c(c(_x31)))) → c#(c(a(c(c(c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), _x32), 0))) → c#(c(a(c(a(_x32, 0)), _x31)))c#(a(c(c(y)), a(a(c(c(_x22)), _x32), 0))) → c#(a(c(c(c(a(_x22, 0)))), c(a(_x32, 0))))

Rewrite Rules

a(a(y, 0), 0) → yc(c(y)) → y
c(a(c(c(y)), x)) → a(c(c(c(a(x, 0)))), y)

Original Signature

Termination of terms over the following signature is verified: 0, c, a

Strategy

The right-hand side of the rule c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x62))), 0))) → c#(c(a(c(a(c(c(c(a(_x62, 0)))), c(a(0, 0)))), _x31))) 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
c#(c(a(c(a(c(a(_x62, 0)), c(a(0, 0)))), _x31))) 
c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), c(a(_x62, 0))), _x31))) 
c#(c(a(c(a(c(c(a(c(c(c(a(0, 0)))), _x101))), c(a(0, 0)))), _x31))) 
c#(c(a(c(a(c(c(c(_x111))), c(a(0, 0)))), _x31))) 
Thus, the rule c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x62))), 0))) → c#(c(a(c(a(c(c(c(a(_x62, 0)))), c(a(0, 0)))), _x31))) is replaced by the following rules:
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(_x111, 0)))), 0))) → c#(c(a(c(a(c(c(c(_x111))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x62))), 0))) → c#(c(a(c(a(c(a(_x62, 0)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(c(a(c(c(a(c(c(c(a(0, 0)))), _x101))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x62))), 0))) → c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), c(a(_x62, 0))), _x31)))

Problem 9: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

c#(a(c(c(y)), a(a(c(c(_x22)), c(c(_x71))), 0))) → c#(a(c(c(c(a(_x22, 0)))), a(c(a(0, 0)), _x71)))c#(a(c(c(y)), a(_x21, 0))) → c#(_x21)
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(c(a(c(c(a(c(c(c(a(0, 0)))), _x101))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), x)) → c#(a(x, 0))
c#(a(c(c(y)), a(c(_x31), 0))) → c#(c(_x31))c#(a(c(c(y)), c(c(_x31)))) → c#(c(a(c(c(c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x62))), 0))) → c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), c(a(_x62, 0))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(_x111, 0)))), 0))) → c#(c(a(c(a(c(c(c(_x111))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x22)), c(c(_x71))), 0))) → c#(a(c(c(c(a(_x22, 0)))), a(c(c(c(a(0, 0)))), _x71)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x71))), 0))) → c#(c(a(a(c(a(0, 0)), _x71), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x62))), 0))) → c#(c(a(c(a(c(a(_x62, 0)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), a(_x81, 0)), 0))) → c#(c(a(c(c(c(_x81))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x71))), 0))) → c#(c(a(a(c(c(c(a(0, 0)))), _x71), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), _x32), 0))) → c#(c(a(c(a(_x32, 0)), _x31)))
c#(a(c(c(y)), a(a(c(c(_x22)), _x32), 0))) → c#(a(c(c(c(a(_x22, 0)))), c(a(_x32, 0))))

Rewrite Rules

a(a(y, 0), 0) → yc(c(y)) → y
c(a(c(c(y)), x)) → a(c(c(c(a(x, 0)))), y)

Original Signature

Termination of terms over the following signature is verified: 0, c, a

Strategy

The right-hand side of the rule c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(c(a(c(c(a(c(c(c(a(0, 0)))), _x101))), c(a(0, 0)))), _x31))) 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
c#(c(a(c(a(c(c(a(c(a(0, 0)), _x101))), c(a(0, 0)))), _x31))) 
c#(c(a(c(a(a(c(c(c(a(0, 0)))), _x101), c(a(0, 0)))), _x31))) 
c#(c(a(c(a(c(a(c(c(c(a(_x82, 0)))), c(a(0, 0)))), c(a(0, 0)))), _x31))) 
c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), a(c(c(c(a(0, 0)))), _x101)), _x31))) 
Thus, the rule c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(c(a(c(c(a(c(c(c(a(0, 0)))), _x101))), c(a(0, 0)))), _x31))) is replaced by the following rules:
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), a(c(c(c(a(0, 0)))), _x101)), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(c(a(0, 0))))))), 0))) → c#(c(a(c(a(c(c(a(c(a(0, 0)), _x101))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x82))))), 0))) → c#(c(a(c(a(c(a(c(c(c(a(_x82, 0)))), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(c(a(a(c(c(c(a(0, 0)))), _x101), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(c(a(c(c(a(c(a(0, 0)), _x101))), c(a(0, 0)))), _x31)))

Problem 10: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), a(c(c(c(a(0, 0)))), _x101)), _x31)))c#(a(c(c(y)), a(a(c(c(_x22)), c(c(_x71))), 0))) → c#(a(c(c(c(a(_x22, 0)))), a(c(a(0, 0)), _x71)))
c#(a(c(c(y)), a(_x21, 0))) → c#(_x21)c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x82))))), 0))) → c#(c(a(c(a(c(a(c(c(c(a(_x82, 0)))), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), x)) → c#(a(x, 0))c#(a(c(c(y)), a(c(_x31), 0))) → c#(c(_x31))
c#(a(c(c(y)), c(c(_x31)))) → c#(c(a(c(c(c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x62))), 0))) → c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), c(a(_x62, 0))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(_x111, 0)))), 0))) → c#(c(a(c(a(c(c(c(_x111))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x22)), c(c(_x71))), 0))) → c#(a(c(c(c(a(_x22, 0)))), a(c(c(c(a(0, 0)))), _x71)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(c(a(0, 0))))))), 0))) → c#(c(a(c(a(c(c(a(c(a(0, 0)), _x101))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x71))), 0))) → c#(c(a(a(c(a(0, 0)), _x71), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x62))), 0))) → c#(c(a(c(a(c(a(_x62, 0)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x71))), 0))) → c#(c(a(a(c(c(c(a(0, 0)))), _x71), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), a(_x81, 0)), 0))) → c#(c(a(c(c(c(_x81))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(c(a(a(c(c(c(a(0, 0)))), _x101), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), _x32), 0))) → c#(c(a(c(a(_x32, 0)), _x31)))c#(a(c(c(y)), a(a(c(c(_x22)), _x32), 0))) → c#(a(c(c(c(a(_x22, 0)))), c(a(_x32, 0))))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(c(a(c(c(a(c(a(0, 0)), _x101))), c(a(0, 0)))), _x31)))

Rewrite Rules

a(a(y, 0), 0) → yc(c(y)) → y
c(a(c(c(y)), x)) → a(c(c(c(a(x, 0)))), y)

Original Signature

Termination of terms over the following signature is verified: 0, c, a

Strategy

The right-hand side of the rule c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), a(c(c(c(a(0, 0)))), _x101)), _x31))) 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
c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), a(c(a(0, 0)), _x101)), _x31))) 
c#(c(a(a(c(a(c(a(0, 0)), 0)), a(c(c(c(a(0, 0)))), _x101)), _x31))) 
Thus, the rule c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), a(c(c(c(a(0, 0)))), _x101)), _x31))) is replaced by the following rules:
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(a(c(a(c(a(0, 0)), 0)), a(c(c(c(a(0, 0)))), _x101)), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), a(c(a(0, 0)), _x101)), _x31)))

Problem 11: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(a(c(a(c(a(0, 0)), 0)), a(c(c(c(a(0, 0)))), _x101)), _x31)))c#(a(c(c(y)), a(a(c(c(_x22)), c(c(_x71))), 0))) → c#(a(c(c(c(a(_x22, 0)))), a(c(a(0, 0)), _x71)))
c#(a(c(c(y)), a(_x21, 0))) → c#(_x21)c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x82))))), 0))) → c#(c(a(c(a(c(a(c(c(c(a(_x82, 0)))), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), x)) → c#(a(x, 0))c#(a(c(c(y)), a(c(_x31), 0))) → c#(c(_x31))
c#(a(c(c(y)), c(c(_x31)))) → c#(c(a(c(c(c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x62))), 0))) → c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), c(a(_x62, 0))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(_x111, 0)))), 0))) → c#(c(a(c(a(c(c(c(_x111))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x22)), c(c(_x71))), 0))) → c#(a(c(c(c(a(_x22, 0)))), a(c(c(c(a(0, 0)))), _x71)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(c(a(0, 0))))))), 0))) → c#(c(a(c(a(c(c(a(c(a(0, 0)), _x101))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x71))), 0))) → c#(c(a(a(c(a(0, 0)), _x71), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x62))), 0))) → c#(c(a(c(a(c(a(_x62, 0)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), a(_x81, 0)), 0))) → c#(c(a(c(c(c(_x81))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x71))), 0))) → c#(c(a(a(c(c(c(a(0, 0)))), _x71), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), a(c(a(0, 0)), _x101)), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(c(a(a(c(c(c(a(0, 0)))), _x101), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), _x32), 0))) → c#(c(a(c(a(_x32, 0)), _x31)))
c#(a(c(c(y)), a(a(c(c(_x22)), _x32), 0))) → c#(a(c(c(c(a(_x22, 0)))), c(a(_x32, 0))))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(c(a(c(c(a(c(a(0, 0)), _x101))), c(a(0, 0)))), _x31)))

Rewrite Rules

a(a(y, 0), 0) → yc(c(y)) → y
c(a(c(c(y)), x)) → a(c(c(c(a(x, 0)))), y)

Original Signature

Termination of terms over the following signature is verified: 0, c, a

Strategy

The right-hand side of the rule c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(a(c(a(c(a(0, 0)), 0)), a(c(c(c(a(0, 0)))), _x101)), _x31))) 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
c#(c(a(a(c(a(c(a(0, 0)), 0)), a(c(a(0, 0)), _x101)), _x31))) 
Thus, the rule c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(a(c(a(c(a(0, 0)), 0)), a(c(c(c(a(0, 0)))), _x101)), _x31))) is replaced by the following rules:
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(a(c(a(c(a(0, 0)), 0)), a(c(a(0, 0)), _x101)), _x31)))

Problem 12: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

c#(a(c(c(y)), a(a(c(c(_x22)), c(c(_x71))), 0))) → c#(a(c(c(c(a(_x22, 0)))), a(c(a(0, 0)), _x71)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(a(c(a(c(a(0, 0)), 0)), a(c(a(0, 0)), _x101)), _x31)))
c#(a(c(c(y)), a(_x21, 0))) → c#(_x21)c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x82))))), 0))) → c#(c(a(c(a(c(a(c(c(c(a(_x82, 0)))), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), x)) → c#(a(x, 0))c#(a(c(c(y)), a(c(_x31), 0))) → c#(c(_x31))
c#(a(c(c(y)), c(c(_x31)))) → c#(c(a(c(c(c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x62))), 0))) → c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), c(a(_x62, 0))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(_x111, 0)))), 0))) → c#(c(a(c(a(c(c(c(_x111))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x22)), c(c(_x71))), 0))) → c#(a(c(c(c(a(_x22, 0)))), a(c(c(c(a(0, 0)))), _x71)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(c(a(0, 0))))))), 0))) → c#(c(a(c(a(c(c(a(c(a(0, 0)), _x101))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x71))), 0))) → c#(c(a(a(c(a(0, 0)), _x71), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x62))), 0))) → c#(c(a(c(a(c(a(_x62, 0)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), a(c(a(0, 0)), _x101)), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x71))), 0))) → c#(c(a(a(c(c(c(a(0, 0)))), _x71), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), a(_x81, 0)), 0))) → c#(c(a(c(c(c(_x81))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(c(a(a(c(c(c(a(0, 0)))), _x101), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), _x32), 0))) → c#(c(a(c(a(_x32, 0)), _x31)))
c#(a(c(c(y)), a(a(c(c(_x22)), _x32), 0))) → c#(a(c(c(c(a(_x22, 0)))), c(a(_x32, 0))))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(c(a(c(c(a(c(a(0, 0)), _x101))), c(a(0, 0)))), _x31)))

Rewrite Rules

a(a(y, 0), 0) → yc(c(y)) → y
c(a(c(c(y)), x)) → a(c(c(c(a(x, 0)))), y)

Original Signature

Termination of terms over the following signature is verified: 0, c, a

Strategy

The right-hand side of the rule c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(a(c(a(c(a(0, 0)), 0)), a(c(a(0, 0)), _x101)), _x31))) 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 c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(a(c(a(c(a(0, 0)), 0)), a(c(a(0, 0)), _x101)), _x31))) is deleted.

Problem 13: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

c#(a(c(c(y)), a(a(c(c(_x22)), c(c(_x71))), 0))) → c#(a(c(c(c(a(_x22, 0)))), a(c(a(0, 0)), _x71)))c#(a(c(c(y)), a(_x21, 0))) → c#(_x21)
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x82))))), 0))) → c#(c(a(c(a(c(a(c(c(c(a(_x82, 0)))), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), x)) → c#(a(x, 0))
c#(a(c(c(y)), a(c(_x31), 0))) → c#(c(_x31))c#(a(c(c(y)), c(c(_x31)))) → c#(c(a(c(c(c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x62))), 0))) → c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), c(a(_x62, 0))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(_x111, 0)))), 0))) → c#(c(a(c(a(c(c(c(_x111))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x22)), c(c(_x71))), 0))) → c#(a(c(c(c(a(_x22, 0)))), a(c(c(c(a(0, 0)))), _x71)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(c(a(0, 0))))))), 0))) → c#(c(a(c(a(c(c(a(c(a(0, 0)), _x101))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x71))), 0))) → c#(c(a(a(c(a(0, 0)), _x71), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x62))), 0))) → c#(c(a(c(a(c(a(_x62, 0)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), a(_x81, 0)), 0))) → c#(c(a(c(c(c(_x81))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x71))), 0))) → c#(c(a(a(c(c(c(a(0, 0)))), _x71), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), a(c(a(0, 0)), _x101)), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(c(a(a(c(c(c(a(0, 0)))), _x101), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), _x32), 0))) → c#(c(a(c(a(_x32, 0)), _x31)))c#(a(c(c(y)), a(a(c(c(_x22)), _x32), 0))) → c#(a(c(c(c(a(_x22, 0)))), c(a(_x32, 0))))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(c(a(c(c(a(c(a(0, 0)), _x101))), c(a(0, 0)))), _x31)))

Rewrite Rules

a(a(y, 0), 0) → yc(c(y)) → y
c(a(c(c(y)), x)) → a(c(c(c(a(x, 0)))), y)

Original Signature

Termination of terms over the following signature is verified: 0, c, a

Strategy

The right-hand side of the rule c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x82))))), 0))) → c#(c(a(c(a(c(a(c(c(c(a(_x82, 0)))), c(a(0, 0)))), c(a(0, 0)))), _x31))) 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
c#(c(a(c(a(c(a(c(c(c(_x131))), c(a(0, 0)))), c(a(0, 0)))), _x31))) 
c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), c(a(_x82, 0))), c(a(0, 0)))), _x31))) 
c#(c(a(c(a(c(a(c(c(a(c(c(c(a(0, 0)))), _x121))), c(a(0, 0)))), c(a(0, 0)))), _x31))) 
c#(c(a(c(a(c(a(c(a(_x82, 0)), c(a(0, 0)))), c(a(0, 0)))), _x31))) 
Thus, the rule c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x82))))), 0))) → c#(c(a(c(a(c(a(c(c(c(a(_x82, 0)))), c(a(0, 0)))), c(a(0, 0)))), _x31))) is replaced by the following rules:
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(_x131, 0)))))), 0))) → c#(c(a(c(a(c(a(c(c(c(_x131))), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x82))))), 0))) → c#(c(a(c(a(c(a(c(a(_x82, 0)), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x82))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), c(a(_x82, 0))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(c(c(_x121))))))), 0))) → c#(c(a(c(a(c(a(c(c(a(c(c(c(a(0, 0)))), _x121))), c(a(0, 0)))), c(a(0, 0)))), _x31)))

Problem 14: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(_x131, 0)))))), 0))) → c#(c(a(c(a(c(a(c(c(c(_x131))), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x22)), c(c(_x71))), 0))) → c#(a(c(c(c(a(_x22, 0)))), a(c(a(0, 0)), _x71)))
c#(a(c(c(y)), a(_x21, 0))) → c#(_x21)c#(a(c(c(y)), x)) → c#(a(x, 0))
c#(a(c(c(y)), a(c(_x31), 0))) → c#(c(_x31))c#(a(c(c(y)), c(c(_x31)))) → c#(c(a(c(c(c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x62))), 0))) → c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), c(a(_x62, 0))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(_x111, 0)))), 0))) → c#(c(a(c(a(c(c(c(_x111))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x22)), c(c(_x71))), 0))) → c#(a(c(c(c(a(_x22, 0)))), a(c(c(c(a(0, 0)))), _x71)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(c(a(0, 0))))))), 0))) → c#(c(a(c(a(c(c(a(c(a(0, 0)), _x101))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x71))), 0))) → c#(c(a(a(c(a(0, 0)), _x71), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x62))), 0))) → c#(c(a(c(a(c(a(_x62, 0)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), a(c(a(0, 0)), _x101)), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x71))), 0))) → c#(c(a(a(c(c(c(a(0, 0)))), _x71), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), a(_x81, 0)), 0))) → c#(c(a(c(c(c(_x81))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x82))))), 0))) → c#(c(a(c(a(c(a(c(a(_x82, 0)), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x82))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), c(a(_x82, 0))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(c(a(a(c(c(c(a(0, 0)))), _x101), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(c(c(_x121))))))), 0))) → c#(c(a(c(a(c(a(c(c(a(c(c(c(a(0, 0)))), _x121))), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), _x32), 0))) → c#(c(a(c(a(_x32, 0)), _x31)))
c#(a(c(c(y)), a(a(c(c(_x22)), _x32), 0))) → c#(a(c(c(c(a(_x22, 0)))), c(a(_x32, 0))))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(c(a(c(c(a(c(a(0, 0)), _x101))), c(a(0, 0)))), _x31)))

Rewrite Rules

a(a(y, 0), 0) → yc(c(y)) → y
c(a(c(c(y)), x)) → a(c(c(c(a(x, 0)))), y)

Original Signature

Termination of terms over the following signature is verified: 0, c, a

Strategy

The right-hand side of the rule c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(_x131, 0)))))), 0))) → c#(c(a(c(a(c(a(c(c(c(_x131))), c(a(0, 0)))), c(a(0, 0)))), _x31))) 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
c#(c(a(c(a(c(a(c(_x101), c(a(0, 0)))), c(a(0, 0)))), _x31))) 
c#(c(a(c(a(c(a(c(_x131), c(a(0, 0)))), c(a(0, 0)))), _x31))) 
c#(c(a(c(a(c(a(c(c(a(c(c(c(a(_x112, 0)))), _x111))), c(a(0, 0)))), c(a(0, 0)))), _x31))) 
c#(c(a(c(a(c(a(c(c(_x111)), c(a(0, 0)))), c(a(0, 0)))), _x31))) 
c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), c(_x131)), c(a(0, 0)))), _x31))) 
Thus, the rule c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(_x131, 0)))))), 0))) → c#(c(a(c(a(c(a(c(c(c(_x131))), c(a(0, 0)))), c(a(0, 0)))), _x31))) is replaced by the following rules:
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(_x131, 0)))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), c(_x131)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x111)), _x112), 0)))))), 0))) → c#(c(a(c(a(c(a(c(c(a(c(c(c(a(_x112, 0)))), _x111))), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(_x131, 0)))))), 0))) → c#(c(a(c(a(c(a(c(_x131), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(_x101, 0)))))), 0))) → c#(c(a(c(a(c(a(c(_x101), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(c(_x111), 0)))))), 0))) → c#(c(a(c(a(c(a(c(c(_x111)), c(a(0, 0)))), c(a(0, 0)))), _x31)))

Problem 15: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

c#(a(c(c(y)), a(_x21, 0))) → c#(_x21)c#(a(c(c(y)), x)) → c#(a(x, 0))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(_x101, 0)))))), 0))) → c#(c(a(c(a(c(a(c(_x101), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x22)), c(c(_x71))), 0))) → c#(a(c(c(c(a(_x22, 0)))), a(c(c(c(a(0, 0)))), _x71)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x62))), 0))) → c#(c(a(c(a(c(a(_x62, 0)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x71))), 0))) → c#(c(a(a(c(c(c(a(0, 0)))), _x71), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x82))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), c(a(_x82, 0))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x22)), _x32), 0))) → c#(a(c(c(c(a(_x22, 0)))), c(a(_x32, 0))))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(c(a(c(c(a(c(a(0, 0)), _x101))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(c(_x111), 0)))))), 0))) → c#(c(a(c(a(c(a(c(c(_x111)), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x22)), c(c(_x71))), 0))) → c#(a(c(c(c(a(_x22, 0)))), a(c(a(0, 0)), _x71)))c#(a(c(c(y)), a(c(_x31), 0))) → c#(c(_x31))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(_x131, 0)))))), 0))) → c#(c(a(c(a(c(a(c(_x131), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), c(c(_x31)))) → c#(c(a(c(c(c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x62))), 0))) → c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), c(a(_x62, 0))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(_x111, 0)))), 0))) → c#(c(a(c(a(c(c(c(_x111))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(_x131, 0)))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), c(_x131)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x111)), _x112), 0)))))), 0))) → c#(c(a(c(a(c(a(c(c(a(c(c(c(a(_x112, 0)))), _x111))), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(c(a(0, 0))))))), 0))) → c#(c(a(c(a(c(c(a(c(a(0, 0)), _x101))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x71))), 0))) → c#(c(a(a(c(a(0, 0)), _x71), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x82))))), 0))) → c#(c(a(c(a(c(a(c(a(_x82, 0)), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), a(_x81, 0)), 0))) → c#(c(a(c(c(c(_x81))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), a(c(a(0, 0)), _x101)), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(c(c(_x121))))))), 0))) → c#(c(a(c(a(c(a(c(c(a(c(c(c(a(0, 0)))), _x121))), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(c(a(a(c(c(c(a(0, 0)))), _x101), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), _x32), 0))) → c#(c(a(c(a(_x32, 0)), _x31)))

Rewrite Rules

a(a(y, 0), 0) → yc(c(y)) → y
c(a(c(c(y)), x)) → a(c(c(c(a(x, 0)))), y)

Original Signature

Termination of terms over the following signature is verified: 0, c, a

Strategy

The right-hand side of the rule c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(_x101, 0)))))), 0))) → c#(c(a(c(a(c(a(c(_x101), c(a(0, 0)))), c(a(0, 0)))), _x31))) 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
c#(c(a(c(a(c(a(_x91, c(a(0, 0)))), c(a(0, 0)))), _x31))) 
c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), _x71), c(a(0, 0)))), _x31))) 
c#(c(a(c(a(c(a(a(c(c(c(a(_x92, 0)))), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31))) 
Thus, the rule c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(_x101, 0)))))), 0))) → c#(c(a(c(a(c(a(c(_x101), c(a(0, 0)))), c(a(0, 0)))), _x31))) is replaced by the following rules:
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(c(_x71), 0)))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), _x71), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(c(_x91), 0)))))), 0))) → c#(c(a(c(a(c(a(_x91, c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), _x92), 0)))))), 0))) → c#(c(a(c(a(c(a(a(c(c(c(a(_x92, 0)))), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))

Problem 16: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), _x92), 0)))))), 0))) → c#(c(a(c(a(c(a(a(c(c(c(a(_x92, 0)))), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(_x21, 0))) → c#(_x21)
c#(a(c(c(y)), x)) → c#(a(x, 0))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(c(_x71), 0)))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), _x71), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x22)), c(c(_x71))), 0))) → c#(a(c(c(c(a(_x22, 0)))), a(c(c(c(a(0, 0)))), _x71)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(c(_x91), 0)))))), 0))) → c#(c(a(c(a(c(a(_x91, c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x62))), 0))) → c#(c(a(c(a(c(a(_x62, 0)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x82))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), c(a(_x82, 0))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x71))), 0))) → c#(c(a(a(c(c(c(a(0, 0)))), _x71), _x31)))c#(a(c(c(y)), a(a(c(c(_x22)), _x32), 0))) → c#(a(c(c(c(a(_x22, 0)))), c(a(_x32, 0))))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(c(_x111), 0)))))), 0))) → c#(c(a(c(a(c(a(c(c(_x111)), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(c(a(c(c(a(c(a(0, 0)), _x101))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x22)), c(c(_x71))), 0))) → c#(a(c(c(c(a(_x22, 0)))), a(c(a(0, 0)), _x71)))c#(a(c(c(y)), a(c(_x31), 0))) → c#(c(_x31))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(_x131, 0)))))), 0))) → c#(c(a(c(a(c(a(c(_x131), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), c(c(_x31)))) → c#(c(a(c(c(c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x62))), 0))) → c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), c(a(_x62, 0))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(_x111, 0)))), 0))) → c#(c(a(c(a(c(c(c(_x111))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(_x131, 0)))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), c(_x131)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x111)), _x112), 0)))))), 0))) → c#(c(a(c(a(c(a(c(c(a(c(c(c(a(_x112, 0)))), _x111))), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(c(a(0, 0))))))), 0))) → c#(c(a(c(a(c(c(a(c(a(0, 0)), _x101))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x71))), 0))) → c#(c(a(a(c(a(0, 0)), _x71), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x82))))), 0))) → c#(c(a(c(a(c(a(c(a(_x82, 0)), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), a(_x81, 0)), 0))) → c#(c(a(c(c(c(_x81))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), a(c(a(0, 0)), _x101)), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(c(a(a(c(c(c(a(0, 0)))), _x101), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(c(c(_x121))))))), 0))) → c#(c(a(c(a(c(a(c(c(a(c(c(c(a(0, 0)))), _x121))), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), _x32), 0))) → c#(c(a(c(a(_x32, 0)), _x31)))

Rewrite Rules

a(a(y, 0), 0) → yc(c(y)) → y
c(a(c(c(y)), x)) → a(c(c(c(a(x, 0)))), y)

Original Signature

Termination of terms over the following signature is verified: 0, c, a

Strategy

The right-hand side of the rule c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), _x92), 0)))))), 0))) → c#(c(a(c(a(c(a(a(c(c(c(a(_x92, 0)))), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31))) 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
c#(c(a(c(a(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x131))), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31))) 
c#(c(a(c(a(c(a(a(c(a(_x92, 0)), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31))) 
c#(c(a(c(a(c(a(a(c(c(c(_x141))), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31))) 
Thus, the rule c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), _x92), 0)))))), 0))) → c#(c(a(c(a(c(a(a(c(c(c(a(_x92, 0)))), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31))) is replaced by the following rules:
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(_x141, 0)), 0)))))), 0))) → c#(c(a(c(a(c(a(a(c(c(c(_x141))), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), _x92), 0)))))), 0))) → c#(c(a(c(a(c(a(a(c(a(_x92, 0)), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), c(c(_x131))), 0)))))), 0))) → c#(c(a(c(a(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x131))), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))

Problem 17: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), _x92), 0)))))), 0))) → c#(c(a(c(a(c(a(a(c(a(_x92, 0)), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(_x21, 0))) → c#(_x21)
c#(a(c(c(y)), x)) → c#(a(x, 0))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), c(c(_x131))), 0)))))), 0))) → c#(c(a(c(a(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x131))), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(c(_x71), 0)))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), _x71), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x22)), c(c(_x71))), 0))) → c#(a(c(c(c(a(_x22, 0)))), a(c(c(c(a(0, 0)))), _x71)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(c(_x91), 0)))))), 0))) → c#(c(a(c(a(c(a(_x91, c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x62))), 0))) → c#(c(a(c(a(c(a(_x62, 0)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x71))), 0))) → c#(c(a(a(c(c(c(a(0, 0)))), _x71), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x82))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), c(a(_x82, 0))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x22)), _x32), 0))) → c#(a(c(c(c(a(_x22, 0)))), c(a(_x32, 0))))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(c(a(c(c(a(c(a(0, 0)), _x101))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(c(_x111), 0)))))), 0))) → c#(c(a(c(a(c(a(c(c(_x111)), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x22)), c(c(_x71))), 0))) → c#(a(c(c(c(a(_x22, 0)))), a(c(a(0, 0)), _x71)))
c#(a(c(c(y)), a(c(_x31), 0))) → c#(c(_x31))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(_x131, 0)))))), 0))) → c#(c(a(c(a(c(a(c(_x131), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), c(c(_x31)))) → c#(c(a(c(c(c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x62))), 0))) → c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), c(a(_x62, 0))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(_x141, 0)), 0)))))), 0))) → c#(c(a(c(a(c(a(a(c(c(c(_x141))), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(_x111, 0)))), 0))) → c#(c(a(c(a(c(c(c(_x111))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(_x131, 0)))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), c(_x131)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x111)), _x112), 0)))))), 0))) → c#(c(a(c(a(c(a(c(c(a(c(c(c(a(_x112, 0)))), _x111))), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(c(a(0, 0))))))), 0))) → c#(c(a(c(a(c(c(a(c(a(0, 0)), _x101))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x71))), 0))) → c#(c(a(a(c(a(0, 0)), _x71), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), a(c(a(0, 0)), _x101)), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), a(_x81, 0)), 0))) → c#(c(a(c(c(c(_x81))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x82))))), 0))) → c#(c(a(c(a(c(a(c(a(_x82, 0)), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(c(c(_x121))))))), 0))) → c#(c(a(c(a(c(a(c(c(a(c(c(c(a(0, 0)))), _x121))), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(c(a(a(c(c(c(a(0, 0)))), _x101), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), _x32), 0))) → c#(c(a(c(a(_x32, 0)), _x31)))

Rewrite Rules

a(a(y, 0), 0) → yc(c(y)) → y
c(a(c(c(y)), x)) → a(c(c(c(a(x, 0)))), y)

Original Signature

Termination of terms over the following signature is verified: 0, c, a

Strategy

The right-hand side of the rule c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), _x92), 0)))))), 0))) → c#(c(a(c(a(c(a(a(c(a(_x92, 0)), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31))) 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
c#(c(a(c(a(c(a(a(a(c(c(c(a(0, 0)))), _x111), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31))) 
c#(c(a(c(a(c(a(a(c(_x121), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31))) 
Thus, the rule c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), _x92), 0)))))), 0))) → c#(c(a(c(a(c(a(a(c(a(_x92, 0)), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31))) is replaced by the following rules:
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(_x121, 0)), 0)))))), 0))) → c#(c(a(c(a(c(a(a(c(_x121), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), c(c(_x111))), 0)))))), 0))) → c#(c(a(c(a(c(a(a(a(c(c(c(a(0, 0)))), _x111), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))

Problem 18: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(_x121, 0)), 0)))))), 0))) → c#(c(a(c(a(c(a(a(c(_x121), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(_x21, 0))) → c#(_x21)
c#(a(c(c(y)), x)) → c#(a(x, 0))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), c(c(_x131))), 0)))))), 0))) → c#(c(a(c(a(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x131))), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(c(_x71), 0)))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), _x71), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x22)), c(c(_x71))), 0))) → c#(a(c(c(c(a(_x22, 0)))), a(c(c(c(a(0, 0)))), _x71)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(c(_x91), 0)))))), 0))) → c#(c(a(c(a(c(a(_x91, c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), c(c(_x111))), 0)))))), 0))) → c#(c(a(c(a(c(a(a(a(c(c(c(a(0, 0)))), _x111), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x62))), 0))) → c#(c(a(c(a(c(a(_x62, 0)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x82))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), c(a(_x82, 0))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x71))), 0))) → c#(c(a(a(c(c(c(a(0, 0)))), _x71), _x31)))c#(a(c(c(y)), a(a(c(c(_x22)), _x32), 0))) → c#(a(c(c(c(a(_x22, 0)))), c(a(_x32, 0))))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(c(a(c(c(a(c(a(0, 0)), _x101))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(c(_x111), 0)))))), 0))) → c#(c(a(c(a(c(a(c(c(_x111)), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x22)), c(c(_x71))), 0))) → c#(a(c(c(c(a(_x22, 0)))), a(c(a(0, 0)), _x71)))c#(a(c(c(y)), a(c(_x31), 0))) → c#(c(_x31))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(_x131, 0)))))), 0))) → c#(c(a(c(a(c(a(c(_x131), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), c(c(_x31)))) → c#(c(a(c(c(c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x62))), 0))) → c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), c(a(_x62, 0))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(_x141, 0)), 0)))))), 0))) → c#(c(a(c(a(c(a(a(c(c(c(_x141))), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(_x111, 0)))), 0))) → c#(c(a(c(a(c(c(c(_x111))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(_x131, 0)))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), c(_x131)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x111)), _x112), 0)))))), 0))) → c#(c(a(c(a(c(a(c(c(a(c(c(c(a(_x112, 0)))), _x111))), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(c(a(0, 0))))))), 0))) → c#(c(a(c(a(c(c(a(c(a(0, 0)), _x101))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x71))), 0))) → c#(c(a(a(c(a(0, 0)), _x71), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x82))))), 0))) → c#(c(a(c(a(c(a(c(a(_x82, 0)), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), a(_x81, 0)), 0))) → c#(c(a(c(c(c(_x81))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), a(c(a(0, 0)), _x101)), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(c(a(a(c(c(c(a(0, 0)))), _x101), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(c(c(_x121))))))), 0))) → c#(c(a(c(a(c(a(c(c(a(c(c(c(a(0, 0)))), _x121))), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), _x32), 0))) → c#(c(a(c(a(_x32, 0)), _x31)))

Rewrite Rules

a(a(y, 0), 0) → yc(c(y)) → y
c(a(c(c(y)), x)) → a(c(c(c(a(x, 0)))), y)

Original Signature

Termination of terms over the following signature is verified: 0, c, a

Strategy

The right-hand side of the rule c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(_x121, 0)), 0)))))), 0))) → c#(c(a(c(a(c(a(a(c(_x121), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31))) 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
c#(c(a(c(a(c(a(a(a(c(c(c(a(_x112, 0)))), _x111), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31))) 
c#(c(a(c(a(c(a(a(_x111, _x91), c(a(0, 0)))), c(a(0, 0)))), _x31))) 
Thus, the rule c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(_x121, 0)), 0)))))), 0))) → c#(c(a(c(a(c(a(a(c(_x121), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31))) is replaced by the following rules:
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(a(c(c(_x111)), _x112), 0)), 0)))))), 0))) → c#(c(a(c(a(c(a(a(a(c(c(c(a(_x112, 0)))), _x111), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(c(_x111), 0)), 0)))))), 0))) → c#(c(a(c(a(c(a(a(_x111, _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))

Problem 19: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

c#(a(c(c(y)), a(_x21, 0))) → c#(_x21)c#(a(c(c(y)), x)) → c#(a(x, 0))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), c(c(_x131))), 0)))))), 0))) → c#(c(a(c(a(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x131))), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(c(_x71), 0)))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), _x71), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x22)), c(c(_x71))), 0))) → c#(a(c(c(c(a(_x22, 0)))), a(c(c(c(a(0, 0)))), _x71)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), c(c(_x111))), 0)))))), 0))) → c#(c(a(c(a(c(a(a(a(c(c(c(a(0, 0)))), _x111), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(c(_x91), 0)))))), 0))) → c#(c(a(c(a(c(a(_x91, c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x62))), 0))) → c#(c(a(c(a(c(a(_x62, 0)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x71))), 0))) → c#(c(a(a(c(c(c(a(0, 0)))), _x71), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x82))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), c(a(_x82, 0))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x22)), _x32), 0))) → c#(a(c(c(c(a(_x22, 0)))), c(a(_x32, 0))))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(c(_x111), 0)))))), 0))) → c#(c(a(c(a(c(a(c(c(_x111)), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(c(a(c(c(a(c(a(0, 0)), _x101))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x22)), c(c(_x71))), 0))) → c#(a(c(c(c(a(_x22, 0)))), a(c(a(0, 0)), _x71)))
c#(a(c(c(y)), a(c(_x31), 0))) → c#(c(_x31))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(_x131, 0)))))), 0))) → c#(c(a(c(a(c(a(c(_x131), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), c(c(_x31)))) → c#(c(a(c(c(c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x62))), 0))) → c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), c(a(_x62, 0))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(_x141, 0)), 0)))))), 0))) → c#(c(a(c(a(c(a(a(c(c(c(_x141))), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(_x111, 0)))), 0))) → c#(c(a(c(a(c(c(c(_x111))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(_x131, 0)))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), c(_x131)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x111)), _x112), 0)))))), 0))) → c#(c(a(c(a(c(a(c(c(a(c(c(c(a(_x112, 0)))), _x111))), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(a(c(c(_x111)), _x112), 0)), 0)))))), 0))) → c#(c(a(c(a(c(a(a(a(c(c(c(a(_x112, 0)))), _x111), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(c(a(0, 0))))))), 0))) → c#(c(a(c(a(c(c(a(c(a(0, 0)), _x101))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x71))), 0))) → c#(c(a(a(c(a(0, 0)), _x71), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(c(_x111), 0)), 0)))))), 0))) → c#(c(a(c(a(c(a(a(_x111, _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), a(c(a(0, 0)), _x101)), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), a(_x81, 0)), 0))) → c#(c(a(c(c(c(_x81))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x82))))), 0))) → c#(c(a(c(a(c(a(c(a(_x82, 0)), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(c(c(_x121))))))), 0))) → c#(c(a(c(a(c(a(c(c(a(c(c(c(a(0, 0)))), _x121))), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(c(a(a(c(c(c(a(0, 0)))), _x101), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), _x32), 0))) → c#(c(a(c(a(_x32, 0)), _x31)))

Rewrite Rules

a(a(y, 0), 0) → yc(c(y)) → y
c(a(c(c(y)), x)) → a(c(c(c(a(x, 0)))), y)

Original Signature

Termination of terms over the following signature is verified: 0, c, a

Strategy

The right-hand side of the rule c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), c(c(_x131))), 0)))))), 0))) → c#(c(a(c(a(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x131))), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31))) 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
c#(c(a(c(a(c(a(a(c(c(a(c(a(0, 0)), _x131))), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31))) 
c#(c(a(c(a(c(a(a(c(a(c(c(c(a(_x122, 0)))), c(a(0, 0)))), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31))) 
c#(c(a(c(a(c(a(a(a(c(c(c(a(0, 0)))), _x131), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31))) 
Thus, the rule c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), c(c(_x131))), 0)))))), 0))) → c#(c(a(c(a(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x131))), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31))) is replaced by the following rules:
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), c(c(_x122))), 0)))))), 0))) → c#(c(a(c(a(c(a(a(c(a(c(c(c(a(_x122, 0)))), c(a(0, 0)))), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), c(c(_x131))), 0)))))), 0))) → c#(c(a(c(a(c(a(a(c(c(a(c(a(0, 0)), _x131))), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), c(c(_x131))), 0)))))), 0))) → c#(c(a(c(a(c(a(a(a(c(c(c(a(0, 0)))), _x131), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))

Problem 20: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

c#(a(c(c(y)), a(_x21, 0))) → c#(_x21)c#(a(c(c(y)), x)) → c#(a(x, 0))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(c(_x71), 0)))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), _x71), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x22)), c(c(_x71))), 0))) → c#(a(c(c(c(a(_x22, 0)))), a(c(c(c(a(0, 0)))), _x71)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(c(_x91), 0)))))), 0))) → c#(c(a(c(a(c(a(_x91, c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), c(c(_x111))), 0)))))), 0))) → c#(c(a(c(a(c(a(a(a(c(c(c(a(0, 0)))), _x111), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x62))), 0))) → c#(c(a(c(a(c(a(_x62, 0)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x82))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), c(a(_x82, 0))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x71))), 0))) → c#(c(a(a(c(c(c(a(0, 0)))), _x71), _x31)))c#(a(c(c(y)), a(a(c(c(_x22)), _x32), 0))) → c#(a(c(c(c(a(_x22, 0)))), c(a(_x32, 0))))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(c(a(c(c(a(c(a(0, 0)), _x101))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(c(_x111), 0)))))), 0))) → c#(c(a(c(a(c(a(c(c(_x111)), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x22)), c(c(_x71))), 0))) → c#(a(c(c(c(a(_x22, 0)))), a(c(a(0, 0)), _x71)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), c(c(_x131))), 0)))))), 0))) → c#(c(a(c(a(c(a(a(a(c(c(c(a(0, 0)))), _x131), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(c(_x31), 0))) → c#(c(_x31))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(_x131, 0)))))), 0))) → c#(c(a(c(a(c(a(c(_x131), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), c(c(_x31)))) → c#(c(a(c(c(c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x62))), 0))) → c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), c(a(_x62, 0))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(_x141, 0)), 0)))))), 0))) → c#(c(a(c(a(c(a(a(c(c(c(_x141))), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(_x111, 0)))), 0))) → c#(c(a(c(a(c(c(c(_x111))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(_x131, 0)))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), c(_x131)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), c(c(_x122))), 0)))))), 0))) → c#(c(a(c(a(c(a(a(c(a(c(c(c(a(_x122, 0)))), c(a(0, 0)))), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x111)), _x112), 0)))))), 0))) → c#(c(a(c(a(c(a(c(c(a(c(c(c(a(_x112, 0)))), _x111))), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(a(c(c(_x111)), _x112), 0)), 0)))))), 0))) → c#(c(a(c(a(c(a(a(a(c(c(c(a(_x112, 0)))), _x111), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(c(a(0, 0))))))), 0))) → c#(c(a(c(a(c(c(a(c(a(0, 0)), _x101))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(c(_x111), 0)), 0)))))), 0))) → c#(c(a(c(a(c(a(a(_x111, _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x71))), 0))) → c#(c(a(a(c(a(0, 0)), _x71), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x82))))), 0))) → c#(c(a(c(a(c(a(c(a(_x82, 0)), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), a(_x81, 0)), 0))) → c#(c(a(c(c(c(_x81))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), a(c(a(0, 0)), _x101)), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), c(c(_x131))), 0)))))), 0))) → c#(c(a(c(a(c(a(a(c(c(a(c(a(0, 0)), _x131))), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(c(a(a(c(c(c(a(0, 0)))), _x101), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(c(c(_x121))))))), 0))) → c#(c(a(c(a(c(a(c(c(a(c(c(c(a(0, 0)))), _x121))), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), _x32), 0))) → c#(c(a(c(a(_x32, 0)), _x31)))

Rewrite Rules

a(a(y, 0), 0) → yc(c(y)) → y
c(a(c(c(y)), x)) → a(c(c(c(a(x, 0)))), y)

Original Signature

Termination of terms over the following signature is verified: 0, c, a

Strategy

The right-hand side of the rule c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(c(_x71), 0)))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), _x71), c(a(0, 0)))), _x31))) 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
c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), _x71), c(a(0, 0)))), _x31))) 
Thus, the rule c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(c(_x71), 0)))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), _x71), c(a(0, 0)))), _x31))) is replaced by the following rules:
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(c(_x71), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), _x71), c(a(0, 0)))), _x31)))

Problem 21: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

c#(a(c(c(y)), a(_x21, 0))) → c#(_x21)c#(a(c(c(y)), x)) → c#(a(x, 0))
c#(a(c(c(y)), a(a(c(c(_x22)), c(c(_x71))), 0))) → c#(a(c(c(c(a(_x22, 0)))), a(c(c(c(a(0, 0)))), _x71)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), c(c(_x111))), 0)))))), 0))) → c#(c(a(c(a(c(a(a(a(c(c(c(a(0, 0)))), _x111), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(c(_x91), 0)))))), 0))) → c#(c(a(c(a(c(a(_x91, c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x62))), 0))) → c#(c(a(c(a(c(a(_x62, 0)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x71))), 0))) → c#(c(a(a(c(c(c(a(0, 0)))), _x71), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x82))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), c(a(_x82, 0))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x22)), _x32), 0))) → c#(a(c(c(c(a(_x22, 0)))), c(a(_x32, 0))))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(c(_x111), 0)))))), 0))) → c#(c(a(c(a(c(a(c(c(_x111)), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(c(a(c(c(a(c(a(0, 0)), _x101))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x22)), c(c(_x71))), 0))) → c#(a(c(c(c(a(_x22, 0)))), a(c(a(0, 0)), _x71)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), c(c(_x131))), 0)))))), 0))) → c#(c(a(c(a(c(a(a(a(c(c(c(a(0, 0)))), _x131), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(c(_x31), 0))) → c#(c(_x31))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(_x131, 0)))))), 0))) → c#(c(a(c(a(c(a(c(_x131), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), c(c(_x31)))) → c#(c(a(c(c(c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x62))), 0))) → c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), c(a(_x62, 0))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(_x141, 0)), 0)))))), 0))) → c#(c(a(c(a(c(a(a(c(c(c(_x141))), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(_x111, 0)))), 0))) → c#(c(a(c(a(c(c(c(_x111))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(_x131, 0)))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), c(_x131)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), c(c(_x122))), 0)))))), 0))) → c#(c(a(c(a(c(a(a(c(a(c(c(c(a(_x122, 0)))), c(a(0, 0)))), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x111)), _x112), 0)))))), 0))) → c#(c(a(c(a(c(a(c(c(a(c(c(c(a(_x112, 0)))), _x111))), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(a(c(c(_x111)), _x112), 0)), 0)))))), 0))) → c#(c(a(c(a(c(a(a(a(c(c(c(a(_x112, 0)))), _x111), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(c(a(0, 0))))))), 0))) → c#(c(a(c(a(c(c(a(c(a(0, 0)), _x101))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x71))), 0))) → c#(c(a(a(c(a(0, 0)), _x71), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(c(_x111), 0)), 0)))))), 0))) → c#(c(a(c(a(c(a(a(_x111, _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), c(c(_x131))), 0)))))), 0))) → c#(c(a(c(a(c(a(a(c(c(a(c(a(0, 0)), _x131))), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), a(c(a(0, 0)), _x101)), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), a(_x81, 0)), 0))) → c#(c(a(c(c(c(_x81))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x82))))), 0))) → c#(c(a(c(a(c(a(c(a(_x82, 0)), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(c(_x71), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), _x71), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(c(c(_x121))))))), 0))) → c#(c(a(c(a(c(a(c(c(a(c(c(c(a(0, 0)))), _x121))), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(c(a(a(c(c(c(a(0, 0)))), _x101), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), _x32), 0))) → c#(c(a(c(a(_x32, 0)), _x31)))

Rewrite Rules

a(a(y, 0), 0) → yc(c(y)) → y
c(a(c(c(y)), x)) → a(c(c(c(a(x, 0)))), y)

Original Signature

Termination of terms over the following signature is verified: 0, c, a

Strategy

The right-hand side of the rule c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(c(_x91), 0)))))), 0))) → c#(c(a(c(a(c(a(_x91, c(a(0, 0)))), c(a(0, 0)))), _x31))) 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
c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), _x71), c(a(0, 0)))), _x31))) 
Thus, the rule c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(c(_x91), 0)))))), 0))) → c#(c(a(c(a(c(a(_x91, c(a(0, 0)))), c(a(0, 0)))), _x31))) is replaced by the following rules:
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(c(c(c(_x71))), 0)))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), _x71), c(a(0, 0)))), _x31)))

Problem 22: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

c#(a(c(c(y)), a(_x21, 0))) → c#(_x21)c#(a(c(c(y)), x)) → c#(a(x, 0))
c#(a(c(c(y)), a(a(c(c(_x22)), c(c(_x71))), 0))) → c#(a(c(c(c(a(_x22, 0)))), a(c(c(c(a(0, 0)))), _x71)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), c(c(_x111))), 0)))))), 0))) → c#(c(a(c(a(c(a(a(a(c(c(c(a(0, 0)))), _x111), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x62))), 0))) → c#(c(a(c(a(c(a(_x62, 0)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x82))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), c(a(_x82, 0))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x71))), 0))) → c#(c(a(a(c(c(c(a(0, 0)))), _x71), _x31)))c#(a(c(c(y)), a(a(c(c(_x22)), _x32), 0))) → c#(a(c(c(c(a(_x22, 0)))), c(a(_x32, 0))))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(c(a(c(c(a(c(a(0, 0)), _x101))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(c(_x111), 0)))))), 0))) → c#(c(a(c(a(c(a(c(c(_x111)), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x22)), c(c(_x71))), 0))) → c#(a(c(c(c(a(_x22, 0)))), a(c(a(0, 0)), _x71)))c#(a(c(c(y)), a(c(_x31), 0))) → c#(c(_x31))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), c(c(_x131))), 0)))))), 0))) → c#(c(a(c(a(c(a(a(a(c(c(c(a(0, 0)))), _x131), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(_x131, 0)))))), 0))) → c#(c(a(c(a(c(a(c(_x131), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), c(c(_x31)))) → c#(c(a(c(c(c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x62))), 0))) → c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), c(a(_x62, 0))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(_x141, 0)), 0)))))), 0))) → c#(c(a(c(a(c(a(a(c(c(c(_x141))), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(_x111, 0)))), 0))) → c#(c(a(c(a(c(c(c(_x111))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(_x131, 0)))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), c(_x131)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(c(c(c(_x71))), 0)))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), _x71), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), c(c(_x122))), 0)))))), 0))) → c#(c(a(c(a(c(a(a(c(a(c(c(c(a(_x122, 0)))), c(a(0, 0)))), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x111)), _x112), 0)))))), 0))) → c#(c(a(c(a(c(a(c(c(a(c(c(c(a(_x112, 0)))), _x111))), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(a(c(c(_x111)), _x112), 0)), 0)))))), 0))) → c#(c(a(c(a(c(a(a(a(c(c(c(a(_x112, 0)))), _x111), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(c(a(0, 0))))))), 0))) → c#(c(a(c(a(c(c(a(c(a(0, 0)), _x101))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(c(_x111), 0)), 0)))))), 0))) → c#(c(a(c(a(c(a(a(_x111, _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x71))), 0))) → c#(c(a(a(c(a(0, 0)), _x71), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(c(_x71), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), _x71), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x82))))), 0))) → c#(c(a(c(a(c(a(c(a(_x82, 0)), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), a(_x81, 0)), 0))) → c#(c(a(c(c(c(_x81))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), a(c(a(0, 0)), _x101)), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), c(c(_x131))), 0)))))), 0))) → c#(c(a(c(a(c(a(a(c(c(a(c(a(0, 0)), _x131))), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(c(a(a(c(c(c(a(0, 0)))), _x101), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(c(c(_x121))))))), 0))) → c#(c(a(c(a(c(a(c(c(a(c(c(c(a(0, 0)))), _x121))), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), _x32), 0))) → c#(c(a(c(a(_x32, 0)), _x31)))

Rewrite Rules

a(a(y, 0), 0) → yc(c(y)) → y
c(a(c(c(y)), x)) → a(c(c(c(a(x, 0)))), y)

Original Signature

Termination of terms over the following signature is verified: 0, c, a

Strategy

The right-hand side of the rule c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), c(c(_x111))), 0)))))), 0))) → c#(c(a(c(a(c(a(a(a(c(c(c(a(0, 0)))), _x111), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31))) 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
c#(c(a(c(a(c(a(c(c(c(a(0, 0)))), c(a(0, 0)))), c(a(0, 0)))), _x31))) 
c#(c(a(c(a(c(a(a(a(c(a(0, 0)), _x111), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31))) 
Thus, the rule c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), c(c(_x111))), 0)))))), 0))) → c#(c(a(c(a(c(a(a(a(c(c(c(a(0, 0)))), _x111), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31))) is replaced by the following rules:
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), c(c(_x111))), 0)))))), 0))) → c#(c(a(c(a(c(a(a(a(c(a(0, 0)), _x111), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(0)), c(c(0))), 0)))))), 0))) → c#(c(a(c(a(c(a(c(c(c(a(0, 0)))), c(a(0, 0)))), c(a(0, 0)))), _x31)))

Problem 23: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

c#(a(c(c(y)), a(_x21, 0))) → c#(_x21)c#(a(c(c(y)), x)) → c#(a(x, 0))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x62))), 0))) → c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), c(a(_x62, 0))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(_x111, 0)))), 0))) → c#(c(a(c(a(c(c(c(_x111))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(_x131, 0)))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), c(_x131)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(_x121, 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), a(c(_x121), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(a(c(a(0, 0)), 0))), c(c(_x131))), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(c(c(a(c(c(c(a(0, 0)))), _x131))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(a(c(c(_x111)), _x112), 0)), 0)))))), 0))) → c#(c(a(c(a(c(a(a(a(c(c(c(a(_x112, 0)))), _x111), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(c(a(0, 0))))))), 0))) → c#(c(a(c(a(c(c(a(c(a(0, 0)), _x101))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(c(_x111), 0)), 0)))))), 0))) → c#(c(a(c(a(c(a(a(_x111, _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x82))))), 0))) → c#(c(a(c(a(c(a(c(a(_x82, 0)), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(a(c(a(0, 0)), 0))), c(c(0))), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), c(a(0, 0))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(a(c(a(0, 0)), 0))), a(a(c(c(_x111)), _x112), 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(a(c(c(c(a(_x112, 0)))), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(c(a(c(c(_x21)), _x22)), 0))) → c#(a(c(c(c(a(_x22, 0)))), _x21))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(c(c(_x121))))))), 0))) → c#(c(a(c(a(c(a(c(c(a(c(c(c(a(0, 0)))), _x121))), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(c(c(_x91))))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(c(a(0, 0)), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(a(c(a(0, 0)), 0))), a(_x141, 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(a(c(a(0, 0)), 0))), a(c(_x111), 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(_x111, _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(0)), c(c(0))), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), c(a(0, 0))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x22)), c(c(_x71))), 0))) → c#(a(c(c(c(a(_x22, 0)))), a(c(c(c(a(0, 0)))), _x71)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(_x141, 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(c(c(_x21)), 0))) → c#(_x21)
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(c(_x91), 0)))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), _x91), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x71))), 0))) → c#(c(a(a(c(c(c(a(0, 0)))), _x71), _x31)))
c#(a(c(c(y)), a(a(c(c(_x22)), _x32), 0))) → c#(a(c(c(c(a(_x22, 0)))), c(a(_x32, 0))))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(c(a(c(c(a(c(a(0, 0)), _x101))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(c(_x111), 0)))))), 0))) → c#(c(a(c(a(c(a(c(c(_x111)), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x22)), c(c(_x71))), 0))) → c#(a(c(c(c(a(_x22, 0)))), a(c(a(0, 0)), _x71)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(_x91, 0)))), 0))) → c#(c(a(c(a(c(_x91), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(a(c(c(_x111)), _x112), 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(a(c(c(c(a(_x112, 0)))), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), _x92), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(c(c(c(a(_x92, 0)))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), c(c(_x131))), 0)))))), 0))) → c#(c(a(c(a(c(a(a(a(c(c(c(a(0, 0)))), _x131), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(0)), c(c(0))), 0)))))), 0))) → c#(c(a(c(a(c(a(c(a(0, 0)), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(_x131, 0)))))), 0))) → c#(c(a(c(a(c(a(c(_x131), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), c(c(_x31)))) → c#(c(a(c(c(c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), c(c(_x111))), 0)))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), a(a(c(a(0, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(_x141, 0)), 0)))))), 0))) → c#(c(a(c(a(c(a(a(c(c(c(_x141))), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(c(_x91), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), _x91), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x111)), _x112), 0)))))), 0))) → c#(c(a(c(a(c(a(c(c(a(c(c(c(a(_x112, 0)))), _x111))), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(c(c(_x91))))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), a(c(c(c(a(0, 0)))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(c(c(c(_x71))), 0)))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), _x71), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), c(c(_x122))), 0)))))), 0))) → c#(c(a(c(a(c(a(a(c(a(c(c(c(a(_x122, 0)))), c(a(0, 0)))), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), c(c(_x111))), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(a(c(c(c(a(0, 0)))), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x71))), 0))) → c#(c(a(a(c(a(0, 0)), _x71), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), c(c(_x131))), 0)))))), 0))) → c#(c(a(c(a(c(a(a(c(c(a(c(a(0, 0)), _x131))), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), a(c(a(0, 0)), _x101)), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), a(_x81, 0)), 0))) → c#(c(a(c(c(c(_x81))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(c(_x71), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), _x71), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), c(c(_x131))), 0)))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), a(c(c(a(c(c(c(a(0, 0)))), _x131))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(c(a(a(c(c(c(a(0, 0)))), _x101), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(c(_x111), 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(_x111, _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(a(c(a(0, 0)), 0))), c(c(_x111))), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(a(c(a(0, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), _x32), 0))) → c#(c(a(c(a(_x32, 0)), _x31)))

Rewrite Rules

a(a(y, 0), 0) → yc(c(y)) → y
c(a(c(c(y)), x)) → a(c(c(c(a(x, 0)))), y)

Original Signature

Termination of terms over the following signature is verified: 0, c, a

Strategy

The right-hand side of the rule c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x62))), 0))) → c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), c(a(_x62, 0))), _x31))) 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
c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), a(c(c(c(a(0, 0)))), _x71)), _x31))) 
c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), c(_x81)), _x31))) 
c#(c(a(a(c(a(c(a(0, 0)), 0)), c(a(_x62, 0))), _x31))) 
Thus, the rule c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x62))), 0))) → c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), c(a(_x62, 0))), _x31))) is replaced by the following rules:
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x71))))), 0))) → c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), a(c(c(c(a(0, 0)))), _x71)), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(_x81, 0)))), 0))) → c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), c(_x81)), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x62))), 0))) → c#(c(a(a(c(a(c(a(0, 0)), 0)), c(a(_x62, 0))), _x31)))

Problem 24: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), c(c(_x111))), 0))), a(a(c(c(c(a(c(c(_x111)), 0)))), a(a(c(c(_x111)), 0), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(a(c(c(c(a(0, 0)))), _x141), a(c(c(c(a(0, 0)))), _x111))), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(c(_x131), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x102, 0)))), _x101), a(c(c(_x131)), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(_x91, 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(_x91), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(_x91, 0))), a(a(c(c(_x91)), a(c(_x131), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(_x91), a(c(c(_x131)), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), a(_x151, 0)), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(_x151))), _x101))), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x111)), _x112), 0))), a(c(c(c(_x71))), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(a(_x112, 0)))), _x111))), _x71), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(_x121))), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(a(c(c(c(a(0, 0)))), _x121))), _x101), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(a(c(c(_x91)), _x92)), 0))), a(a(c(c(_x91)), _x92), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(c(a(_x92, 0)))), _x91)), a(c(a(_x92, 0)), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), a(c(c(c(_x101))), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(_x101, _x81)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x131))), _x102), 0))), a(a(c(c(0)), a(a(c(c(0)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(a(_x102, 0)))), _x101))), a(c(a(0, 0)), _x131)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(a(c(a(0, 0)), 0))), a(a(c(c(_x111)), _x112), 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(a(c(c(c(a(_x112, 0)))), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(a(c(a(0, 0)), 0))), c(c(0))), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), c(a(0, 0))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(c(c(a(0, 0)))), _x141))), c(a(_x102, 0)))), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(a(c(c(_x71)), c(c(_x111))), 0)))), 0))) → c#(c(a(a(c(a(c(a(0, 0)), 0)), a(c(c(a(c(a(0, 0)), _x111))), _x71)), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), a(a(c(c(_x121)), _x122), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(c(c(a(c(c(c(a(_x122, 0)))), _x121))), _x81)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(a(c(a(0, 0)), 0))), a(_x141, 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(_x121, 0))), a(c(c(c(_x71))), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(_x121), _x71), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), a(_x131, 0)), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(_x131))), _x101), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(c(_x91)), 0))), a(a(c(c(_x91)), _x92), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(_x91), a(c(c(c(a(_x92, 0)))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(_x121))), 0))), a(a(c(c(a(c(a(0, 0)), _x121))), a(a(c(c(_x111)), c(c(a(0, 0)))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(a(0, 0)), _x121), _x101), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(_x141, 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), c(c(_x101)))), 0)))), 0))) → c#(c(a(c(a(c(a(a(c(c(c(a(0, 0)))), _x101), _x81)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(a(c(c(0)), c(c(0))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(a(_x102, 0)))), _x101))), a(c(c(c(a(0, 0)))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(_x131, 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(a(_x102, 0)))), _x101))), c(_x131)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x72)), a(a(c(c(_x101)), _x102), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(a(_x72, 0)))), a(c(c(c(a(_x102, 0)))), _x101)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(a(c(c(_x71)), a(_x101, 0)), 0)))), 0))) → c#(c(a(a(c(a(c(a(0, 0)), 0)), a(c(_x101), _x71)), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), a(_x121, 0)), 0))), a(a(c(c(c(a(a(_x121, 0), 0)))), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(c(c(a(0, 0)))), _x141))), c(_x121))), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x71))), 0))) → c#(c(a(a(c(c(c(a(0, 0)))), _x71), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(c(c(0)))), a(c(c(c(0))), 0))), 0)))), 0))) → c#(c(a(c(a(c(c(c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x81)), _x82), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x82, 0)))), _x81), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(_x81, 0)))), 0))) → c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), c(_x81)), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), a(c(a(c(c(_x111)), _x112)), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(c(a(c(c(c(a(_x112, 0)))), _x111)), _x81)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x72)), a(c(_x101), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(a(_x72, 0)))), _x101), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(_x121, 0))), a(c(_x91), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(_x121))), _x91), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), a(a(c(c(_x101)), c(c(_x141))), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x141))), _x101), _x81)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(_x121, 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(_x121), a(c(_x141), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(a(c(c(_x111)), _x112), 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(a(c(c(c(a(_x112, 0)))), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x71))))), 0))) → c#(c(a(a(c(a(c(a(0, 0)), 0)), a(c(c(c(a(0, 0)))), _x71)), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(c(c(_x111)))), a(c(c(c(_x71))), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(0, 0)), _x111), _x71), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), c(c(_x151))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(a(_x102, 0)))), _x101))), a(a(c(c(a(c(c(c(a(0, 0)))), _x151))), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(_x141))), 0))), a(a(c(c(_x91)), a(_x121, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(a(c(c(c(a(0, 0)))), _x141))), _x101))), a(c(_x121), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(_x91, 0))), a(a(c(c(_x91)), _x92), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(_x91), a(c(c(c(a(_x92, 0)))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(c(c(c(a(0, 0))))))), 0))), a(a(c(c(_x91)), a(a(c(c(0)), c(c(0))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(a(c(c(c(a(0, 0)))), _x121))), _x101), a(c(c(c(a(0, 0)))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(a(c(c(_x71)), a(_x121, 0)), 0)))), 0))) → c#(c(a(a(c(a(c(a(0, 0)), 0)), a(c(c(c(_x121))), _x71)), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(_x81), 0))), a(c(_x91), 0))), 0)))), 0))) → c#(c(a(c(a(a(_x81, _x91), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(_x111), 0))), a(c(c(c(_x71))), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(_x111)), _x71), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(a(c(a(0, 0)), _x141), c(a(_x102, 0)))), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(c(c(c(_x71))), 0)))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), _x71), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(c(c(_x91))))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), a(c(c(c(a(0, 0)))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x71))), 0))) → c#(c(a(a(c(a(0, 0)), _x71), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), c(c(_x131))), 0)))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), a(c(c(a(c(c(c(a(0, 0)))), _x131))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(0)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(c(c(a(0, 0)))), _x141))), c(a(_x102, 0)))), c(a(_x112, 0))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(_x111)), a(_x141, 0)), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(c(c(a(0, 0)))), _x141))), c(a(_x102, 0)))), a(a(c(_x141), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(_x111)), a(_x141, 0)), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(a(c(c(c(a(0, 0)))), _x141), c(a(_x102, 0)))), a(a(c(_x141), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(a(c(c(_x131)), _x132), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x102, 0)))), _x101), a(c(c(a(c(c(c(a(_x132, 0)))), _x131))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), a(_x151, 0)), 0))), a(a(c(c(_x91)), a(_x121, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(_x151))), _x101))), a(c(_x121), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x102, 0)))), _x101), a(c(_x141), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x92)), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(c(a(_x92, 0)))), c(a(_x102, 0)))), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(_x21, 0))) → c#(_x21)c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(c(c(_x111)))), a(_x131, 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x111))), c(_x131)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x92)), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(_x121, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(c(a(_x92, 0)))), c(a(_x102, 0)))), a(c(_x121), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(_x121, 0))), a(a(c(c(_x91)), a(a(c(c(_x131)), _x132), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(_x121))), a(c(c(a(c(c(c(a(_x132, 0)))), _x131))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), a(_x131, 0)), 0))), a(a(c(c(_x91)), a(_x121, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(_x131))), _x101), a(c(_x121), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(_x121))), 0))), a(a(c(c(_x91)), a(_x121, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(a(c(c(c(a(0, 0)))), _x121))), _x101), a(c(_x121), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x81)), _x82), 0))), a(c(_x91), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x82, 0)))), _x81), _x91), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x92)), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(c(a(_x92, 0)))), c(a(_x102, 0)))), a(a(c(c(c(a(_x112, 0)))), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(_x121))), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), c(c(a(0, 0)))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(a(c(a(0, 0)), _x121))), _x101), a(a(a(c(a(0, 0)), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(c(a(0, 0))))), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(a(c(a(0, 0)), _x121))), _x101), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x131))), _x102), 0))), a(a(c(c(0)), a(a(c(c(0)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x102, 0)))), _x101), a(c(c(c(a(0, 0)))), _x131)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(_x81, 0)))), 0))) → c#(c(a(c(a(c(_x81), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(_x81), 0))), a(_x131, 0))), 0)))), 0))) → c#(c(a(c(a(a(_x81, c(_x131)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(_x102, 0)), _x101), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), a(_x111, 0))), 0)))), 0))) → c#(c(a(c(a(c(a(c(_x111), _x81)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(a(_x102, 0)))), _x101))), a(a(a(c(a(0, 0)), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(a(c(a(0, 0)), 0))), c(c(_x131))), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(c(c(a(c(c(c(a(0, 0)))), _x131))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), a(_x161, 0)), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(a(_x102, 0)))), _x101))), a(a(c(c(c(_x161))), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(a(c(c(_x111)), _x112), 0)), 0)))))), 0))) → c#(c(a(c(a(c(a(a(a(c(c(c(a(_x112, 0)))), _x111), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(c(a(0, 0))))))), 0))) → c#(c(a(c(a(c(c(a(c(a(0, 0)), _x101))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x92)), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(0)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(c(a(_x92, 0)))), c(a(_x102, 0)))), c(a(_x112, 0))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(c(_x111), 0)), 0)))))), 0))) → c#(c(a(c(a(c(a(a(_x111, _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(c(_x131), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(a(_x102, 0)))), _x101))), a(c(c(_x131)), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(a(c(c(a(_x102, 0))), c(c(0))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(_x102, 0)), _x101), a(c(c(c(a(0, 0)))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(c(a(c(c(_x21)), _x22)), 0))) → c#(a(c(c(c(a(_x22, 0)))), _x21))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(_x111, 0)))), 0))) → c#(c(a(c(a(c(_x111), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(c(c(c(a(0, 0))))))), 0))), a(a(c(c(_x91)), a(a(c(c(0)), c(c(a(0, 0)))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(a(c(a(0, 0)), _x121))), _x101), a(c(c(c(a(0, 0)))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x131))), c(c(_x121))), 0))), a(a(c(c(0)), a(a(c(c(0)), c(c(a(0, 0)))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(a(c(a(0, 0)), _x121))), _x101), a(c(c(c(a(0, 0)))), _x131)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(_x121, 0))), a(a(c(c(_x91)), a(c(a(c(c(_x121)), _x122)), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(_x121))), a(c(a(c(c(c(a(_x122, 0)))), _x121)), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x131))), _x102), 0))), a(a(c(c(0)), a(a(c(c(0)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(a(_x102, 0)), _x101))), a(c(c(c(a(0, 0)))), _x131)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(0)), c(c(0))), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), c(a(0, 0))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(c(a(_x102, 0)), 0)))), a(c(c(c(a(0, 0)))), _x141)), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(c(_x111), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x102, 0)))), _x101), a(_x111, _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(_x91, 0))), a(_x131, 0))), 0)))), 0))) → c#(c(a(c(a(a(c(_x91), c(_x131)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(_x71), 0)))), 0))) → c#(c(a(a(c(a(c(a(0, 0)), 0)), _x71), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), a(_x111, 0)), 0))), a(a(c(c(_x91)), a(a(c(c(a(a(_x111, 0), 0))), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(_x111), _x101), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(a(c(c(c(a(0, 0)))), _x141), c(a(_x102, 0)))), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(_x81), 0))), a(a(c(c(_x91)), a(_x121, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(_x81, a(c(_x121), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(c(_x91)), 0))), a(a(c(c(_x91)), _x92), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(_x91), a(c(a(_x92, 0)), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(a(c(c(_x71)), c(c(_x102))), 0)))), 0))) → c#(c(a(a(c(a(c(a(0, 0)), 0)), a(c(a(c(c(c(a(_x102, 0)))), c(a(0, 0)))), _x71)), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(a(c(c(_x91)), _x92)), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(c(a(_x92, 0)))), _x91)), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(_x121, 0))), a(a(c(c(_x91)), a(c(c(_x121)), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(_x121))), a(c(_x121), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), c(c(_x121)))), 0)))), 0))) → c#(c(a(c(a(c(a(c(c(a(c(c(c(a(0, 0)))), _x121))), _x81)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(a(_x102, 0)), _x101))), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(_x101), 0))), a(a(c(c(_x91)), a(_x121, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(_x101)), a(c(_x121), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x22)), _x32), 0))) → c#(a(c(c(c(a(_x22, 0)))), c(a(_x32, 0))))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), a(a(c(c(_x101)), _x102), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(a(c(a(_x102, 0)), _x101), _x81)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(c(a(0, 0)))), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(a(c(a(0, 0)), _x141), c(a(_x102, 0)))), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(_x101), 0))), a(a(c(c(_x91)), c(c(_x131))), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(_x101)), a(c(c(a(c(c(c(a(0, 0)))), _x131))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), _x92), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(c(c(c(a(_x92, 0)))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(a(c(c(_x91)), _x92), 0)))), 0))) → c#(c(a(c(a(c(c(a(c(c(c(a(_x92, 0)))), _x91))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), c(c(_x131))), 0)))))), 0))) → c#(c(a(c(a(c(a(a(a(c(c(c(a(0, 0)))), _x131), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(_x121, 0))), a(a(c(c(_x91)), a(a(c(c(_x131)), _x132), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(_x121), a(c(c(a(c(c(c(a(_x132, 0)))), _x131))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(c(_x91)), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(_x91), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(_x141, 0)), 0)))))), 0))) → c#(c(a(c(a(c(a(a(c(c(c(_x141))), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x111)), _x112), 0)))))), 0))) → c#(c(a(c(a(c(a(c(c(a(c(c(c(a(_x112, 0)))), _x111))), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), c(c(_x122))), 0)))))), 0))) → c#(c(a(c(a(c(a(a(c(a(c(c(c(a(_x122, 0)))), c(a(0, 0)))), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), a(_x141, 0)), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(a(_x102, 0)))), _x101))), a(a(c(_x141), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(_x101), 0))), a(a(c(c(_x91)), a(c(_x131), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(_x101)), a(c(c(_x131)), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x92)), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(a(_x92, 0)), c(a(_x102, 0)))), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), a(_x151, 0)), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(_x151))), _x101))), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(a(c(a(0, 0)), 0))), c(c(_x111))), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(a(c(a(0, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(c(a(_x102, 0)), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(a(_x102, 0)), _x101))), a(c(_x121), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), _x32), 0))) → c#(c(a(c(a(_x32, 0)), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(a(c(c(_x131)), _x132), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(a(_x102, 0)))), _x101))), a(c(c(a(c(c(c(a(_x132, 0)))), _x131))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(_x121, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x102, 0)))), _x101), a(c(_x121), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), x)) → c#(a(x, 0))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(a(c(c(_x91)), _x92)), 0))), a(a(c(c(_x91)), _x92), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(c(a(_x92, 0)))), _x91)), a(c(c(c(a(_x92, 0)))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(_x101), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(_x101)), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(_x81), 0))), a(a(c(c(_x91)), _x92), 0))), 0)))), 0))) → c#(c(a(c(a(a(_x81, a(c(c(c(a(_x92, 0)))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x131))), _x102), 0))), a(a(c(c(0)), a(a(c(c(a(_x102, 0))), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(_x102, 0)), _x101), a(c(c(c(a(0, 0)))), _x131)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x131))), c(c(_x141))), 0))), a(a(c(c(0)), a(a(c(c(0)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(a(c(c(c(a(0, 0)))), _x141))), _x101))), a(c(c(c(a(0, 0)))), _x131)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(c(_x111), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(a(_x102, 0)))), _x101))), a(_x111, _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), a(c(c(a(c(c(_x101)), a(_x151, 0)))), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(a(c(c(c(_x151))), _x101), _x81)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(_x141))), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(a(c(c(c(a(0, 0)))), _x141))), _x101))), a(a(c(c(c(a(_x112, 0)))), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(_x131, 0)))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), c(_x131)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(_x91), 0))), a(c(c(c(_x71))), 0))), 0)))), 0))) → c#(c(a(c(a(a(_x91, _x71), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(a(_x112, 0)))), _x102), 0))), a(a(c(c(0)), a(a(c(c(0)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(a(_x102, 0)))), _x101))), c(a(_x112, 0))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), a(a(c(c(_x101)), a(_x151, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(a(c(c(c(_x151))), _x101), _x81)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(a(_x151, 0))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(c(_x151))), c(a(_x102, 0)))), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x92)), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(c(a(_x92, 0)))), c(a(_x102, 0)))), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), c(c(_x111))), 0))), a(a(c(c(c(a(c(c(_x111)), 0)))), a(a(c(c(_x111)), 0), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(c(c(a(0, 0)))), _x141))), a(c(c(c(a(0, 0)))), _x111))), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x92)), a(_x141, 0)), 0))), a(a(c(c(c(a(a(_x141, 0), 0)))), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(c(a(_x92, 0)))), c(_x141))), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), a(c(_x101), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(_x101, _x81)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(a(_x102, 0)), _x101))), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x102, 0)))), _x101), a(a(a(c(a(0, 0)), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(0)), a(a(c(c(0)), _x102), 0))), 0)))), 0))) → c#(c(a(c(a(c(c(c(c(a(_x102, 0))))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(a(c(a(0, 0)), 0))), a(c(_x111), 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(_x111, _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(_x111, 0)))), 0))) → c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), c(_x111)), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x131))), c(c(_x121))), 0))), a(a(c(c(0)), a(a(c(c(0)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(a(c(c(c(a(0, 0)))), _x121))), _x101), a(c(c(c(a(0, 0)))), _x131)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(_x121, 0))), a(a(c(c(_x91)), a(_x121, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(_x121), a(c(_x121), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), _x92), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(a(_x102, 0)))), _x101))), a(c(c(c(a(_x92, 0)))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), c(c(a(_x102, 0)))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(a(_x102, 0)), _x101))), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x131))), a(_x151, 0)), 0))), a(a(c(c(0)), a(a(c(c(0)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(_x151))), _x101))), a(c(c(c(a(0, 0)))), _x131)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x72)), a(c(_x71), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(a(_x72, 0)))), _x71), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(c(c(_x21)), 0))) → c#(_x21)
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), a(_x151, 0)), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(_x151))), _x101))), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(c(a(c(c(a(c(a(0, 0)), _x101))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), a(c(c(a(c(c(_x101)), _x102))), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(a(c(a(_x102, 0)), _x101), _x81)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x72)), a(c(c(c(_x71))), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(_x72, 0)), _x71), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x22)), c(c(_x71))), 0))) → c#(a(c(c(c(a(_x22, 0)))), a(c(a(0, 0)), _x71)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(_x91, 0)))), 0))) → c#(c(a(c(a(c(_x91), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(a(_x102, 0)))), _x101))), a(c(_x141), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(_x131, 0)))))), 0))) → c#(c(a(c(a(c(a(c(_x131), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(c(c(a(0, 0))))), a(c(c(c(_x71))), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(0, 0)), _x111), _x71), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(a(c(c(0)), c(c(0))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x102, 0)))), _x101), a(c(c(c(a(0, 0)))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(c(_x91), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), _x91), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), a(c(c(a(c(c(_x101)), c(c(_x141))))), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x141))), _x101), _x81)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), c(c(_x111))), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(a(c(c(c(a(0, 0)))), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(a(c(c(_x71)), c(c(_x111))), 0)))), 0))) → c#(c(a(a(c(a(c(a(0, 0)), 0)), a(a(c(c(c(a(0, 0)))), _x111), _x71)), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(_x141))), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(a(c(c(c(a(0, 0)))), _x141))), _x101))), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(a(0, 0)))), c(c(_x102))), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(c(c(c(a(_x102, 0)))), c(a(0, 0)))), _x101), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x112)))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(c(a(0, 0)))), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(a(c(c(c(a(_x112, 0)))), c(a(0, 0)))), c(a(_x102, 0)))), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), c(c(_x131))), 0)))))), 0))) → c#(c(a(c(a(c(a(a(c(c(a(c(a(0, 0)), _x131))), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(c(_x71), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), _x71), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), a(_x81, 0)), 0))) → c#(c(a(c(c(c(_x81))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(_x51), 0)))), 0))) → c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), _x51), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(c(a(a(c(c(c(a(0, 0)))), _x101), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(_x121, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(a(_x102, 0)), _x101))), a(c(_x121), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(a(0, 0)), _x141))), c(a(_x102, 0)))), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(_x121, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(_x102, 0)), _x101), a(c(_x121), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x92)), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(c(a(_x102, 0)), 0)))), c(a(_x92, 0))), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(_x81), 0))), a(a(c(c(_x91)), c(c(_x111))), 0))), 0)))), 0))) → c#(c(a(c(a(a(_x81, a(a(c(c(c(a(0, 0)))), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), a(_x151, 0)), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(_x151))), _x101))), a(a(c(c(c(a(_x112, 0)))), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(a(0, 0))))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(a(0, 0)), _x141))), c(a(_x102, 0)))), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(_x121, 0))), a(a(c(c(_x91)), a(c(_x131), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(_x121), a(c(c(_x131)), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(0)), a(c(c(a(c(c(0)), _x102))), 0))), 0)))), 0))) → c#(c(a(c(a(c(c(c(c(a(_x102, 0))))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), a(_x121, 0)), 0))), a(a(c(c(c(a(a(_x121, 0), 0)))), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(a(c(c(c(a(0, 0)))), _x141), c(_x121))), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(a(_x102, 0)), _x101))), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x92)), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(_x111)), a(_x141, 0)), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(c(a(_x92, 0)))), c(a(_x102, 0)))), a(a(c(_x141), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(c(a(_x112, 0)))))), _x102), 0))), a(a(c(c(0)), a(a(c(c(0)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(a(_x102, 0)))), _x101))), c(c(c(a(_x112, 0))))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(a(_x102, 0)), _x101))), a(a(c(c(c(a(_x112, 0)))), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(_x121, 0))), a(a(c(c(_x91)), a(_x121, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(_x121))), a(c(_x121), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(_x121, 0))), a(a(c(c(_x91)), _x92), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(_x121), a(c(c(c(a(_x92, 0)))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x92)), c(c(_x131))), 0))), a(a(c(c(c(a(c(c(_x131)), 0)))), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(c(a(_x92, 0)))), a(c(c(c(a(0, 0)))), _x131))), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(_x121, 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), a(c(_x121), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), a(_x131, 0)), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(_x131))), _x101), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x72)), _x82)), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(a(_x72, 0)))), c(a(_x82, 0))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(_x121))), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(a(c(c(c(a(0, 0)))), _x121))), _x101), a(a(a(c(a(0, 0)), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x102, 0)))), _x101), a(a(c(c(c(a(_x112, 0)))), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(c(c(_x102)))), a(c(c(c(_x71))), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(c(a(_x102, 0)))), c(a(0, 0)))), _x71), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(_x121, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(_x102, 0)), _x101), a(c(_x121), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x82))))), 0))) → c#(c(a(c(a(c(a(c(a(_x82, 0)), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(a(c(c(_x71)), c(c(_x91))), 0)))), 0))) → c#(c(a(a(c(a(c(a(0, 0)), 0)), a(a(c(c(c(a(0, 0)))), _x91), _x71)), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(c(c(_x121))))))), 0))) → c#(c(a(c(a(c(a(c(c(a(c(c(c(a(0, 0)))), _x121))), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x91)), _x92), 0))), a(c(c(c(_x71))), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x92, 0)))), _x91), _x71), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(_x92, 0), 0))), a(a(c(c(_x91)), _x92), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(_x121))), a(c(a(_x92, 0)), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(c(c(_x91))))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(c(a(0, 0)), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(_x121, 0))), a(a(c(c(_x91)), c(c(_x131))), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(_x121))), a(c(c(a(c(c(c(a(0, 0)))), _x131))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x81)), _x82), 0))), a(_x131, 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x82, 0)))), _x81), c(_x131)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(a(c(c(a(_x102, 0))), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(_x102, 0)), _x101), a(a(a(c(a(0, 0)), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x102, 0)))), _x101), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x72)), a(_x131, 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(_x72, 0)), c(_x131)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(0)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(a(c(c(c(a(0, 0)))), _x141), c(a(_x102, 0)))), c(a(_x112, 0))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(_x141))), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(a(c(c(c(a(0, 0)))), _x141))), _x101))), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(_x101), 0))), a(a(c(c(_x91)), c(c(_x111))), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(_x101)), a(a(c(c(c(a(0, 0)))), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(c(_x81)), 0)))), 0))) → c#(c(a(c(a(c(_x81), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x22)), c(c(_x71))), 0))) → c#(a(c(c(c(a(_x22, 0)))), a(c(c(c(a(0, 0)))), _x71)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(_x141))), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(a(c(c(c(a(0, 0)))), _x141))), _x101))), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(_x101), 0))), a(_x131, 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(_x101)), c(_x131)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(c(_x91), 0)))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), _x91), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(_x91))), 0))), a(a(c(c(_x91)), a(a(c(c(a(c(c(_x91)), 0))), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(c(c(a(0, 0)))), _x91), _x101), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(c(_x111), 0)))))), 0))) → c#(c(a(c(a(c(a(c(c(_x111)), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(_x102, 0)), _x101), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(_x121, 0))), a(a(c(c(_x91)), a(c(_x111), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(_x121))), a(_x111, _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(_x101), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(_x101)), a(c(_x141), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(_x102, 0)), _x101), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(0)), c(c(0))), 0)))))), 0))) → c#(c(a(c(a(c(a(c(a(0, 0)), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(_x81), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(_x81, a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(a(c(c(c(a(0, 0)))), a(_x102, 0)))), _x102), 0))), a(a(c(c(0)), a(a(c(c(0)), c(c(a(_x102, 0)))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(a(_x102, 0)), _x101))), a(c(c(c(a(0, 0)))), _x131)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(_x121))), 0))), a(a(c(c(a(c(c(c(a(0, 0)))), _x121))), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(c(c(a(0, 0)))), _x121), _x101), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), c(c(_x31)))) → c#(c(a(c(c(c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x131))), _x102), 0))), a(a(c(c(0)), a(a(c(c(0)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(c(a(_x92, 0)))), c(a(_x102, 0)))), a(c(c(c(a(0, 0)))), _x131)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), c(c(_x111))), 0)))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), a(a(c(a(0, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x71))))), 0))) → c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), a(c(c(c(a(0, 0)))), _x71)), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(_x101), 0))), a(a(c(c(_x91)), a(a(c(c(_x131)), _x132), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(_x101)), a(c(c(a(c(c(c(a(_x132, 0)))), _x131))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), a(c(a(0, 0)), _x101)), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(c(_x111), 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(_x111, _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(_x121, 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(_x121))), a(c(_x141), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(c(c(_x51))), 0)))), 0))) → c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), _x51), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(_x121, 0))), a(a(c(c(_x91)), _x92), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(_x121))), a(c(a(_x92, 0)), _x91)), c(a(0, 0)))), _x31)))

Rewrite Rules

a(a(y, 0), 0) → yc(c(y)) → y
c(a(c(c(y)), x)) → a(c(c(c(a(x, 0)))), y)

Original Signature

Termination of terms over the following signature is verified: 0, c, a

Strategy

The right-hand side of the rule c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(c(_x131), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x102, 0)))), _x101), a(c(c(_x131)), _x91)), c(a(0, 0)))), _x31))) 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
c#(c(a(c(a(a(a(c(c(a(c(c(c(a(0, 0)))), _x121))), _x101), a(c(c(_x131)), _x91)), c(a(0, 0)))), _x31))) 
c#(c(a(c(a(a(a(c(a(_x102, 0)), _x101), a(c(c(_x131)), _x91)), c(a(0, 0)))), _x31))) 
c#(c(a(c(a(a(a(c(c(c(a(_x102, 0)))), _x101), a(_x111, _x91)), c(a(0, 0)))), _x31))) 
c#(c(a(c(a(a(a(c(c(c(a(_x102, 0)))), _x101), a(c(a(c(c(c(a(_x122, 0)))), _x121)), _x91)), c(a(0, 0)))), _x31))) 
c#(c(a(c(a(a(a(c(c(c(a(_x102, 0)))), _x101), a(c(_x121), _x91)), c(a(0, 0)))), _x31))) 
c#(c(a(c(a(a(a(c(c(c(_x131))), _x101), a(c(c(_x131)), _x91)), c(a(0, 0)))), _x31))) 
Thus, the rule c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(c(_x131), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x102, 0)))), _x101), a(c(c(_x131)), _x91)), c(a(0, 0)))), _x31))) is replaced by the following rules:
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(c(_x131), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(_x102, 0)), _x101), a(c(c(_x131)), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), a(_x131, 0)), 0))), a(a(c(c(_x91)), a(c(_x131), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(_x131))), _x101), a(c(c(_x131)), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(c(a(c(c(_x121)), _x122)), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x102, 0)))), _x101), a(c(a(c(c(c(a(_x122, 0)))), _x121)), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(c(_x111), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x102, 0)))), _x101), a(_x111, _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(c(_x131), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(_x102, 0)), _x101), a(c(c(_x131)), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(c(c(_x121)), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x102, 0)))), _x101), a(c(_x121), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(_x121))), 0))), a(a(c(c(_x91)), a(c(_x131), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(a(c(c(c(a(0, 0)))), _x121))), _x101), a(c(c(_x131)), _x91)), c(a(0, 0)))), _x31)))

Problem 25: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), c(c(_x111))), 0))), a(a(c(c(c(a(c(c(_x111)), 0)))), a(a(c(c(_x111)), 0), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(a(c(c(c(a(0, 0)))), _x141), a(c(c(c(a(0, 0)))), _x111))), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(a(0, 0))))), c(c(_x111))), 0))), a(a(c(c(c(a(c(c(_x111)), 0)))), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(a(c(a(0, 0)), _x141), a(c(c(c(a(0, 0)))), _x111))), a(a(a(c(a(0, 0)), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(a(0, 0))))), c(c(_x111))), 0))), a(a(c(c(c(a(c(c(_x111)), 0)))), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(a(0, 0)), _x141))), a(c(c(c(a(0, 0)))), _x111))), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(_x91, 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(_x91), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x131))), a(_x131, 0)), 0))), a(a(c(c(0)), a(a(c(c(0)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(_x131))), _x101), a(c(a(0, 0)), _x131)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(_x91, 0))), a(a(c(c(_x91)), a(c(_x131), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(_x91), a(c(c(_x131)), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(_x121))), 0))), a(a(c(c(a(c(c(c(a(0, 0)))), _x121))), a(_x121, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(c(c(a(0, 0)))), _x121), _x101), a(c(_x121), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(a(c(c(_x91)), _x92)), 0))), a(a(c(c(_x91)), _x92), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(c(a(_x92, 0)))), _x91)), a(c(a(_x92, 0)), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(a(0, 0))))), a(a(c(c(_x111)), _x112), 0)), 0))), a(a(c(c(c(a(a(a(c(c(_x111)), _x112), 0), 0)))), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(a(0, 0)), _x141))), a(c(c(c(a(_x112, 0)))), _x111))), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), a(_x131, 0)), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(_x131))), _x101), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(c(_x91)), 0))), a(a(c(c(_x91)), _x92), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(_x91), a(c(c(c(a(_x92, 0)))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(a(c(c(_x71)), c(c(_x111))), 0)))), 0))) → c#(c(a(a(c(a(c(a(0, 0)), 0)), a(a(c(a(0, 0)), _x111), _x71)), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(a(0, 0)))), c(c(_x112))), 0))), a(c(c(c(0))), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(c(c(c(a(_x112, 0)))), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), c(c(_x101)))), 0)))), 0))) → c#(c(a(c(a(c(a(a(c(c(c(a(0, 0)))), _x101), _x81)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(a(c(c(0)), c(c(0))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(a(_x102, 0)))), _x101))), a(c(c(c(a(0, 0)))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(_x131, 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(a(_x102, 0)))), _x101))), c(_x131)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x72)), a(a(c(c(_x101)), _x102), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(a(_x72, 0)))), a(c(c(c(a(_x102, 0)))), _x101)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(a(c(c(_x71)), a(_x101, 0)), 0)))), 0))) → c#(c(a(a(c(a(c(a(0, 0)), 0)), a(c(_x101), _x71)), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), a(_x121, 0)), 0))), a(a(c(c(c(a(a(_x121, 0), 0)))), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(c(c(a(0, 0)))), _x141))), c(_x121))), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x131))), c(c(_x121))), 0))), a(a(c(c(a(c(a(0, 0)), _x121))), a(a(c(c(0)), c(c(a(0, 0)))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(a(0, 0)), _x121), _x101), a(c(a(0, 0)), _x131)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), a(_x151, 0)), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(_x151))), _x101))), a(c(_x141), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x71))), 0))) → c#(c(a(a(c(c(c(a(0, 0)))), _x71), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(c(c(0)))), a(c(c(c(0))), 0))), 0)))), 0))) → c#(c(a(c(a(c(c(c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(_x81, 0)))), 0))) → c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), c(_x81)), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x81)), _x82), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x82, 0)))), _x81), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x131))), c(c(_x121))), 0))), a(a(c(c(0)), a(a(c(c(0)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(c(c(a(0, 0)))), _x121), _x101), a(c(a(0, 0)), _x131)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), a(c(a(c(c(_x111)), _x112)), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(c(a(c(c(c(a(_x112, 0)))), _x111)), _x81)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(a(c(c(_x122)), _x132), 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(c(a(c(c(c(a(_x122, 0)))), c(a(_x132, 0)))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x72)), a(c(_x101), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(a(_x72, 0)))), _x101), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(_x121, 0))), a(c(_x91), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(_x121))), _x91), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), a(a(c(c(_x101)), c(c(_x141))), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x141))), _x101), _x81)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(_x121, 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(_x121), a(c(_x141), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(a(c(c(_x111)), _x112), 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(a(c(c(c(a(_x112, 0)))), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x71))))), 0))) → c#(c(a(a(c(a(c(a(0, 0)), 0)), a(c(c(c(a(0, 0)))), _x71)), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(c(c(_x111)))), a(c(c(c(_x71))), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(0, 0)), _x111), _x71), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(a(c(a(0, 0)), 0))), a(a(c(c(0)), a(_x101, 0)), 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), c(_x101)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(a(0, 0))))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(0)), c(c(0))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(a(c(a(0, 0)), _x141), c(a(_x102, 0)))), a(c(a(0, 0)), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(_x121))), 0))), a(a(c(c(a(c(c(c(a(0, 0)))), _x121))), a(a(c(c(_x131)), _x132), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(c(c(a(0, 0)))), _x121), _x101), a(c(c(a(c(c(c(a(_x132, 0)))), _x131))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), c(c(_x151))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(a(_x102, 0)))), _x101))), a(a(c(c(a(c(c(c(a(0, 0)))), _x151))), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x112)))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(c(a(0, 0)))), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(a(c(c(c(a(_x112, 0)))), c(a(0, 0)))), c(a(_x102, 0)))), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(_x141))), 0))), a(a(c(c(_x91)), a(_x121, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(a(c(c(c(a(0, 0)))), _x141))), _x101))), a(c(_x121), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(c(c(c(a(0, 0))))))), 0))), a(a(c(c(_x91)), a(a(c(c(0)), c(c(0))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(a(c(c(c(a(0, 0)))), _x121))), _x101), a(c(c(c(a(0, 0)))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(_x91, 0))), a(a(c(c(_x91)), _x92), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(_x91), a(c(c(c(a(_x92, 0)))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(a(c(c(_x71)), a(_x121, 0)), 0)))), 0))) → c#(c(a(a(c(a(c(a(0, 0)), 0)), a(c(c(c(_x121))), _x71)), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(_x81), 0))), a(c(_x91), 0))), 0)))), 0))) → c#(c(a(c(a(a(_x81, _x91), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(_x111), 0))), a(c(c(c(_x71))), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(_x111)), _x71), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(a(0, 0))))), a(_x121, 0)), 0))), a(a(c(c(c(a(a(_x121, 0), 0)))), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(a(c(a(0, 0)), _x141), c(_x121))), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(a(c(a(0, 0)), _x141), c(a(_x102, 0)))), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(0)), c(c(c(a(0, 0))))), 0))), a(c(c(c(0))), 0))), 0)))), 0))) → c#(c(a(c(a(c(c(a(c(a(0, 0)), _x131))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(c(c(_x91))))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), a(c(c(c(a(0, 0)))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(a(c(a(0, 0)), 0))), a(a(c(c(_x111)), a(_x161, 0)), 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(a(c(c(c(_x161))), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(c(c(c(_x71))), 0)))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), _x71), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(a(c(c(_x131)), c(c(_x171))), 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(c(c(a(c(c(a(c(c(c(a(0, 0)))), _x171))), _x131))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x71))), 0))) → c#(c(a(a(c(a(0, 0)), _x71), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(a(0, 0))))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(0)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(c(a(_x102, 0)), 0)))), a(c(a(0, 0)), _x141)), a(c(c(c(a(0, 0)))), _x131)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), c(c(_x131))), 0)))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), a(c(c(a(c(c(c(a(0, 0)))), _x131))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(0)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(c(c(a(0, 0)))), _x141))), c(a(_x102, 0)))), c(a(_x112, 0))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(a(c(a(0, 0)), 0))), a(a(c(c(0)), c(c(_x102))), 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), c(a(c(c(c(a(_x102, 0)))), c(a(0, 0))))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(_x111)), a(_x141, 0)), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(c(c(a(0, 0)))), _x141))), c(a(_x102, 0)))), a(a(c(_x141), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), a(a(c(c(c(c(_x151)))), a(_x161, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(c(a(c(c(a(c(c(c(a(0, 0)))), _x151))), c(_x161))), _x81)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(_x111)), a(_x141, 0)), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(a(c(c(c(a(0, 0)))), _x141), c(a(_x102, 0)))), a(a(c(_x141), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(a(0, 0))))), a(_x121, 0)), 0))), a(a(c(c(c(a(a(_x121, 0), 0)))), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(a(c(a(0, 0)), _x141), c(_x121))), a(a(a(c(a(0, 0)), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(_x121))), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(a(c(a(0, 0)), _x121))), _x101), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(a(c(c(_x131)), _x132), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x102, 0)))), _x101), a(c(c(a(c(c(c(a(_x132, 0)))), _x131))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), a(_x111, 0)), 0))), a(a(c(c(_x91)), a(c(_x131), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(_x111), _x101), a(c(c(_x131)), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), a(_x151, 0)), 0))), a(a(c(c(_x91)), a(_x121, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(_x151))), _x101))), a(c(_x121), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x102, 0)))), _x101), a(c(_x141), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x131))), c(c(0))), 0))), a(a(c(c(0)), a(a(c(c(0)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(c(c(a(0, 0)))))), a(c(a(0, 0)), _x131)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x92)), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(c(a(_x92, 0)))), c(a(_x102, 0)))), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), a(a(c(c(c(c(_x161)))), _x122), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(c(a(c(c(a(c(c(c(a(0, 0)))), _x161))), c(a(_x122, 0)))), _x81)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(_x21, 0))) → c#(_x21)c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(c(c(_x111)))), a(_x131, 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x111))), c(_x131)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x92)), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(_x121, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(c(a(_x92, 0)))), c(a(_x102, 0)))), a(c(_x121), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(_x121))), 0))), a(a(c(c(_x91)), a(a(c(c(_x131)), _x132), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(a(c(c(c(a(0, 0)))), _x121))), _x101), a(c(c(a(c(c(c(a(_x132, 0)))), _x131))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(_x121, 0))), a(a(c(c(_x91)), a(a(c(c(_x131)), _x132), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(_x121))), a(c(c(a(c(c(c(a(_x132, 0)))), _x131))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), a(_x131, 0)), 0))), a(a(c(c(_x91)), a(_x121, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(_x131))), _x101), a(c(_x121), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), a(_x131, 0)), 0))), a(a(c(c(_x91)), a(c(_x131), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(_x131))), _x101), a(c(c(_x131)), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(_x121))), 0))), a(a(c(c(_x91)), a(_x121, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(a(c(c(c(a(0, 0)))), _x121))), _x101), a(c(_x121), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x81)), _x82), 0))), a(c(_x91), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x82, 0)))), _x81), _x91), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x131))), c(c(_x121))), 0))), a(a(c(c(0)), a(a(c(c(0)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(a(c(c(c(a(0, 0)))), _x121))), _x101), a(c(a(0, 0)), _x131)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(_x111)), c(c(c(a(0, 0))))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(a(0, 0)), _x141))), c(a(_x102, 0)))), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x92)), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(c(a(_x92, 0)))), c(a(_x102, 0)))), a(a(c(c(c(a(_x112, 0)))), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(_x121))), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), c(c(a(0, 0)))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(a(c(a(0, 0)), _x121))), _x101), a(a(a(c(a(0, 0)), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x72)), a(c(c(c(c(c(_x71))))), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(a(_x72, 0)))), _x71), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(c(a(0, 0))))), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(a(c(a(0, 0)), _x121))), _x101), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), a(a(c(c(a(_x161, 0))), a(_x161, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(c(a(c(c(c(_x161))), c(_x161))), _x81)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(a(0, 0))))), c(c(_x111))), 0))), a(a(c(c(c(a(c(c(_x111)), 0)))), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(a(c(a(0, 0)), _x141), a(c(c(c(a(0, 0)))), _x111))), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x131))), _x102), 0))), a(a(c(c(0)), a(a(c(c(0)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x102, 0)))), _x101), a(c(c(c(a(0, 0)))), _x131)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(_x81, 0)))), 0))) → c#(c(a(c(a(c(_x81), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(_x81), 0))), a(_x131, 0))), 0)))), 0))) → c#(c(a(c(a(a(_x81, c(_x131)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(_x102, 0)), _x101), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), a(_x111, 0))), 0)))), 0))) → c#(c(a(c(a(c(a(c(_x111), _x81)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(a(_x102, 0)))), _x101))), a(a(a(c(a(0, 0)), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), a(a(c(c(_x121)), c(c(_x161))), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(c(c(a(c(c(a(c(c(c(a(0, 0)))), _x161))), _x121))), _x81)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(0)), a(c(c(c(a(_x91, 0)))), 0))), 0)))), 0))) → c#(c(a(c(a(c(_x91), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(_x121))), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(a(c(c(c(a(0, 0)))), _x121))), _x101), a(c(_x141), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), a(_x151, 0)), 0))), a(a(c(c(_x91)), a(a(c(c(_x131)), _x132), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(_x151))), _x101))), a(c(c(a(c(c(c(a(_x132, 0)))), _x131))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(0)), c(c(_x131))), 0))), a(c(c(c(0))), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(a(0, 0)))), _x131), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(a(c(a(0, 0)), 0))), c(c(_x131))), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(c(c(a(c(c(c(a(0, 0)))), _x131))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), a(_x161, 0)), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(a(_x102, 0)))), _x101))), a(a(c(c(c(_x161))), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(a(c(c(_x111)), _x112), 0)), 0)))))), 0))) → c#(c(a(c(a(c(a(a(a(c(c(c(a(_x112, 0)))), _x111), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(c(a(0, 0))))))), 0))) → c#(c(a(c(a(c(c(a(c(a(0, 0)), _x101))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(c(_x111), 0)), 0)))))), 0))) → c#(c(a(c(a(c(a(a(_x111, _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x92)), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(0)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(c(a(_x92, 0)))), c(a(_x102, 0)))), c(a(_x112, 0))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(c(_x131), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(a(_x102, 0)))), _x101))), a(c(c(_x131)), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(a(c(c(a(_x102, 0))), c(c(0))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(_x102, 0)), _x101), a(c(c(c(a(0, 0)))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(_x111, 0)))), 0))) → c#(c(a(c(a(c(_x111), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(c(a(c(c(_x21)), _x22)), 0))) → c#(a(c(c(c(a(_x22, 0)))), _x21))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(c(c(c(a(0, 0))))))), 0))), a(a(c(c(_x91)), a(a(c(c(0)), c(c(a(0, 0)))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(a(c(a(0, 0)), _x121))), _x101), a(c(c(c(a(0, 0)))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x131))), c(c(_x121))), 0))), a(a(c(c(0)), a(a(c(c(0)), c(c(a(0, 0)))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(a(c(a(0, 0)), _x121))), _x101), a(c(c(c(a(0, 0)))), _x131)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(_x121, 0))), a(a(c(c(_x91)), a(c(a(c(c(_x121)), _x122)), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(_x121))), a(c(a(c(c(c(a(_x122, 0)))), _x121)), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(a(0, 0))))), c(c(_x111))), 0))), a(a(c(c(c(a(c(c(_x111)), 0)))), a(a(c(c(0)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(a(0, 0)), _x141))), a(c(c(c(a(0, 0)))), _x111))), a(c(c(c(a(0, 0)))), _x131)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(a(0, 0))))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(0)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(a(c(a(0, 0)), _x141), c(a(_x102, 0)))), a(c(a(0, 0)), _x131)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(a(0, 0))))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(0)), c(c(0))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(a(c(a(0, 0)), _x141), c(a(_x102, 0)))), a(c(c(c(a(0, 0)))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x131))), _x102), 0))), a(a(c(c(0)), a(a(c(c(0)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(a(_x102, 0)), _x101))), a(c(c(c(a(0, 0)))), _x131)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(0)), c(c(0))), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), c(a(0, 0))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(c(a(0, 0))))), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(a(c(a(0, 0)), _x121))), _x101), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(c(a(_x102, 0)), 0)))), a(c(c(c(a(0, 0)))), _x141)), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(c(_x111), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x102, 0)))), _x101), a(_x111, _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(_x91, 0))), a(_x131, 0))), 0)))), 0))) → c#(c(a(c(a(a(c(_x91), c(_x131)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x131))), a(_x131, 0)), 0))), a(a(c(c(0)), a(a(c(c(0)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(_x131), _x101))), a(c(a(0, 0)), _x131)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(_x71), 0)))), 0))) → c#(c(a(a(c(a(c(a(0, 0)), 0)), _x71), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), a(_x111, 0)), 0))), a(a(c(c(_x91)), a(a(c(c(a(a(_x111, 0), 0))), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(_x111), _x101), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(a(c(c(c(a(0, 0)))), _x141), c(a(_x102, 0)))), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(_x81), 0))), a(a(c(c(_x91)), a(_x121, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(_x81, a(c(_x121), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x111)), a(_x121, 0)), 0))), a(c(c(c(_x71))), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(_x121), _x111), _x71), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(c(_x91)), 0))), a(a(c(c(_x91)), _x92), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(_x91), a(c(a(_x92, 0)), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(a(c(c(_x71)), c(c(_x102))), 0)))), 0))) → c#(c(a(a(c(a(c(a(0, 0)), 0)), a(c(a(c(c(c(a(_x102, 0)))), c(a(0, 0)))), _x71)), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(a(c(c(_x91)), _x92)), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(c(a(_x92, 0)))), _x91)), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(_x121, 0))), a(a(c(c(_x91)), a(c(c(_x121)), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(_x121))), a(c(_x121), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), c(c(_x121)))), 0)))), 0))) → c#(c(a(c(a(c(a(c(c(a(c(c(c(a(0, 0)))), _x121))), _x81)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(c(_x131), 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(c(c(_x131)), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(a(_x102, 0)), _x101))), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(_x101), 0))), a(a(c(c(_x91)), a(_x121, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(_x101)), a(c(_x121), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x22)), _x32), 0))) → c#(a(c(c(c(a(_x22, 0)))), c(a(_x32, 0))))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(a(c(a(0, 0)), 0))), a(a(c(c(0)), c(c(_x91))), 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(c(c(c(a(0, 0)))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), a(a(c(c(_x101)), _x102), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(a(c(a(_x102, 0)), _x101), _x81)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(c(a(0, 0)))), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(a(c(a(0, 0)), _x141), c(a(_x102, 0)))), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(_x101), 0))), a(a(c(c(_x91)), c(c(_x131))), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(_x101)), a(c(c(a(c(c(c(a(0, 0)))), _x131))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), _x92), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(c(c(c(a(_x92, 0)))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x111)), _x112), 0))), a(c(c(c(_x71))), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(a(_x112, 0)), _x111))), _x71), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(0)), c(c(0))), 0))), a(c(c(c(_x71))), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(a(0, 0)))), _x71), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(a(c(c(_x91)), _x92), 0)))), 0))) → c#(c(a(c(a(c(c(a(c(c(c(a(_x92, 0)))), _x91))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), c(c(_x131))), 0)))))), 0))) → c#(c(a(c(a(c(a(a(a(c(c(c(a(0, 0)))), _x131), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x111)), c(c(_x131))), 0))), a(c(c(c(_x71))), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(a(c(a(0, 0)), _x131))), _x111), _x71), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(a(0, 0))))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(0)), c(c(0))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(a(0, 0)), _x141))), c(a(_x102, 0)))), a(c(c(c(a(0, 0)))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(c(_x131), 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), a(c(c(_x131)), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(_x121, 0))), a(a(c(c(_x91)), a(a(c(c(_x131)), _x132), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(_x121), a(c(c(a(c(c(c(a(_x132, 0)))), _x131))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(c(_x91)), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(_x91), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(_x141, 0)), 0)))))), 0))) → c#(c(a(c(a(c(a(a(c(c(c(_x141))), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x111)), _x112), 0)))))), 0))) → c#(c(a(c(a(c(a(c(c(a(c(c(c(a(_x112, 0)))), _x111))), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), c(c(_x122))), 0)))))), 0))) → c#(c(a(c(a(c(a(a(c(a(c(c(c(a(_x122, 0)))), c(a(0, 0)))), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), a(_x141, 0)), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(a(_x102, 0)))), _x101))), a(a(c(_x141), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(_x101), 0))), a(a(c(c(_x91)), a(c(_x131), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(_x101)), a(c(c(_x131)), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(_x121))), 0))), a(a(c(c(a(c(c(c(a(0, 0)))), _x121))), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(c(c(a(0, 0)))), _x121), _x101), a(c(_x141), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x131))), a(_x151, 0)), 0))), a(a(c(c(0)), a(a(c(c(0)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(_x151))), _x101))), a(c(a(0, 0)), _x131)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x92)), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(a(_x92, 0)), c(a(_x102, 0)))), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), a(_x151, 0)), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(_x151))), _x101))), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(a(c(a(0, 0)), 0))), c(c(_x111))), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(a(c(a(0, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), a(a(c(c(_x112)), a(_x161, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(c(a(c(a(_x112, 0)), c(_x161))), _x81)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(a(c(a(0, 0)), 0))), a(c(_x131), 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(c(c(_x131)), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x111)), c(c(_x151))), 0))), a(c(c(c(_x71))), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(a(c(c(c(a(0, 0)))), _x151))), _x111))), _x71), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(c(a(_x102, 0)), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(a(_x102, 0)), _x101))), a(c(_x121), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), _x32), 0))) → c#(c(a(c(a(_x32, 0)), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(a(c(c(_x131)), _x132), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(a(_x102, 0)))), _x101))), a(c(c(a(c(c(c(a(_x132, 0)))), _x131))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(_x121))), 0))), a(a(c(c(_x91)), a(c(_x131), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(a(c(c(c(a(0, 0)))), _x121))), _x101), a(c(c(_x131)), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x111)), a(_x161, 0)), 0))), a(c(c(c(_x71))), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(_x161))), _x111))), _x71), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), a(_x151, 0)), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(_x151))), _x101), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(_x121, 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(c(_x121), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(_x121, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x102, 0)))), _x101), a(c(_x121), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), x)) → c#(a(x, 0))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(a(c(c(_x91)), _x92)), 0))), a(a(c(c(_x91)), _x92), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(c(a(_x92, 0)))), _x91)), a(c(c(c(a(_x92, 0)))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x102)), _x112), 0))), a(c(c(c(_x71))), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(c(a(_x102, 0)))), c(a(_x112, 0)))), _x71), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), a(a(c(c(_x112)), c(c(_x151))), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(c(a(c(c(c(a(_x112, 0)))), a(c(c(c(a(0, 0)))), _x151))), _x81)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(0)), c(c(_x82))), 0))), a(c(c(c(0))), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(c(c(c(a(_x82, 0)))), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x111)), c(c(c(a(0, 0))))), 0))), a(c(c(c(_x71))), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(a(0, 0)), _x131), _x111), _x71), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), a(a(c(c(_x141)), _x142), 0)), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(a(c(c(c(a(_x142, 0)))), _x141))), _x101))), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(_x101), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(_x101)), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), a(a(c(c(_x112)), _x122), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(c(a(c(a(_x112, 0)), c(a(_x122, 0)))), _x81)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x111)), a(_x141, 0)), 0))), a(c(c(c(_x71))), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(_x141))), _x111), _x71), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x131))), c(c(_x121))), 0))), a(a(c(c(0)), a(a(c(c(0)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(a(c(a(0, 0)), _x121), _x101))), a(c(a(0, 0)), _x131)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x72)), a(a(c(c(_x121)), _x122), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(a(_x72, 0)))), a(c(c(c(a(_x122, 0)))), _x121)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(a(0, 0)))), c(c(c(c(_x151))))), 0))), a(c(c(c(_x71))), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(c(c(a(c(c(c(a(0, 0)))), _x151))), c(a(0, 0)))), _x111), _x71), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(_x81), 0))), a(a(c(c(_x91)), _x92), 0))), 0)))), 0))) → c#(c(a(c(a(a(_x81, a(c(c(c(a(_x92, 0)))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x131))), c(c(_x141))), 0))), a(a(c(c(0)), a(a(c(c(0)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(a(c(c(c(a(0, 0)))), _x141))), _x101))), a(c(a(0, 0)), _x131)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x131))), _x102), 0))), a(a(c(c(0)), a(a(c(c(a(_x102, 0))), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(_x102, 0)), _x101), a(c(c(c(a(0, 0)))), _x131)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x131))), c(c(_x141))), 0))), a(a(c(c(0)), a(a(c(c(0)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(a(c(c(c(a(0, 0)))), _x141))), _x101))), a(c(c(c(a(0, 0)))), _x131)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(c(_x111), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(a(_x102, 0)))), _x101))), a(_x111, _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), a(c(c(a(c(c(_x101)), a(_x151, 0)))), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(a(c(c(c(_x151))), _x101), _x81)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(_x141, 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), a(c(_x141), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(_x141))), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(a(c(c(c(a(0, 0)))), _x141))), _x101))), a(a(c(c(c(a(_x112, 0)))), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(c(a(0, 0))))), 0))), a(a(c(c(a(c(a(0, 0)), c(a(0, 0))))), a(a(c(c(0)), c(c(a(0, 0)))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(a(0, 0)), _x121), _x101), a(c(a(0, 0)), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(_x131, 0)))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), c(_x131)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(_x91), 0))), a(c(c(c(_x71))), 0))), 0)))), 0))) → c#(c(a(c(a(a(_x91, _x71), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(a(c(c(_x131)), _x132), 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(a(c(c(c(a(_x132, 0)))), _x131), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(a(_x112, 0)))), _x102), 0))), a(a(c(c(0)), a(a(c(c(0)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(a(_x102, 0)))), _x101))), c(a(_x112, 0))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), a(a(c(c(_x101)), a(_x151, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(a(c(c(c(_x151))), _x101), _x81)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), a(a(c(c(a(_x171, 0))), _x122), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(c(a(c(c(c(_x171))), c(a(_x122, 0)))), _x81)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(a(_x151, 0))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(c(_x151))), c(a(_x102, 0)))), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x92)), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(c(a(_x92, 0)))), c(a(_x102, 0)))), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(a(_x102, 0)), _x101))), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), a(c(_x101), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(_x101, _x81)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), c(c(_x111))), 0))), a(a(c(c(c(a(c(c(_x111)), 0)))), a(a(c(c(_x111)), 0), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(c(c(a(0, 0)))), _x141))), a(c(c(c(a(0, 0)))), _x111))), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x92)), a(_x141, 0)), 0))), a(a(c(c(c(a(a(_x141, 0), 0)))), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(c(a(_x92, 0)))), c(_x141))), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(_x121))), 0))), a(a(c(c(a(c(c(c(a(0, 0)))), _x121))), a(c(_x131), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(c(c(a(0, 0)))), _x121), _x101), a(c(c(_x131)), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), a(a(c(c(_x112)), a(_x161, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(a(c(c(c(a(c(_x161), 0)))), c(a(_x112, 0))), _x81)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x102, 0)))), _x101), a(a(a(c(a(0, 0)), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(0)), a(a(c(c(0)), _x102), 0))), 0)))), 0))) → c#(c(a(c(a(c(c(c(c(a(_x102, 0))))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x111)), c(c(_x131))), 0))), a(c(c(c(_x71))), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(a(0, 0)), _x131), _x111), _x71), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(a(c(a(0, 0)), 0))), a(c(_x111), 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(_x111, _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(_x111, 0)))), 0))) → c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), c(_x111)), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x131))), c(c(_x121))), 0))), a(a(c(c(0)), a(a(c(c(0)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(a(c(c(c(a(0, 0)))), _x121))), _x101), a(c(c(c(a(0, 0)))), _x131)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(_x121, 0))), a(a(c(c(_x91)), a(_x121, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(_x121), a(c(_x121), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(a(0, 0)))), c(c(a(_x161, 0)))), 0))), a(c(c(c(_x71))), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(c(c(c(_x161))), c(a(0, 0)))), _x111), _x71), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), _x92), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(a(_x102, 0)))), _x101))), a(c(c(c(a(_x92, 0)))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), c(c(a(_x102, 0)))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(a(_x102, 0)), _x101))), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x131))), a(_x151, 0)), 0))), a(a(c(c(0)), a(a(c(c(0)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(_x151))), _x101))), a(c(c(c(a(0, 0)))), _x131)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(0)), c(c(0))), 0))), a(a(c(c(a(c(a(0, 0)), 0))), a(a(c(c(_x111)), c(c(a(0, 0)))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(0, 0)), a(a(a(c(a(0, 0)), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), a(a(c(c(_x112)), a(a(c(c(_x141)), _x142), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(c(a(c(c(c(a(_x112, 0)))), a(c(c(c(a(_x142, 0)))), _x141))), _x81)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(c(c(a(0, 0)))), _x141))), c(a(_x102, 0)))), a(a(a(c(a(0, 0)), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(0)), _x112), 0))), a(c(c(c(0))), 0))), 0)))), 0))) → c#(c(a(c(a(c(c(c(a(_x112, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x72)), a(c(_x71), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(a(_x72, 0)))), _x71), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(a(0, 0))))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(a(0, 0)), _x141))), c(a(_x102, 0)))), a(a(a(c(a(0, 0)), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(c(c(_x21)), 0))) → c#(_x21)
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(_x121))), 0))), a(a(c(c(a(c(c(c(a(0, 0)))), _x121))), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(a(0, 0)), _x121), _x101), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), a(_x151, 0)), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(_x151))), _x101))), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(a(c(a(0, 0)), 0))), a(a(c(c(0)), c(c(_x121))), 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), c(c(a(c(a(0, 0)), _x121)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), a(_x121, 0)), 0))), a(a(c(c(c(a(a(_x121, 0), 0)))), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(c(c(a(0, 0)))), _x141))), c(_x121))), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(c(c(_x121)), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x102, 0)))), _x101), a(c(_x121), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(c(a(c(c(a(c(a(0, 0)), _x101))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), a(c(c(a(c(c(_x101)), _x102))), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(a(c(a(_x102, 0)), _x101), _x81)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x72)), a(c(c(c(_x71))), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(_x72, 0)), _x71), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(a(c(a(0, 0)), 0))), a(_x141, 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(c(_x141), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x22)), c(c(_x71))), 0))) → c#(a(c(c(c(a(_x22, 0)))), a(c(a(0, 0)), _x71)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(0)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(c(c(a(0, 0)))), _x141))), c(a(_x102, 0)))), a(c(c(c(a(0, 0)))), _x131)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), a(a(c(c(_x121)), _x122), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(c(c(a(c(a(_x122, 0)), _x121))), _x81)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(0)), c(c(0))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(c(c(a(0, 0)))), _x141))), c(a(_x102, 0)))), a(c(c(c(a(0, 0)))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(_x141, 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(c(_x141), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(_x91, 0)))), 0))) → c#(c(a(c(a(c(_x91), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), a(_x151, 0)), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(_x151), _x101))), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(a(_x102, 0)))), _x101))), a(c(_x141), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(a(0, 0)))), c(c(_x112))), 0))), a(c(c(c(_x71))), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(c(a(_x112, 0)), c(a(0, 0)))), _x111), _x71), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(_x131, 0)))))), 0))) → c#(c(a(c(a(c(a(c(_x131), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(_x91))), 0))), a(a(c(c(_x91)), a(c(_x131), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(c(c(a(0, 0)))), _x91), _x101), a(c(c(_x131)), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(c(c(a(0, 0))))), a(c(c(c(_x71))), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(0, 0)), _x111), _x71), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(a(c(c(_x131)), a(_x181, 0)), 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(c(c(a(c(c(c(_x181))), _x131))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(a(c(c(0)), c(c(0))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x102, 0)))), _x101), a(c(c(c(a(0, 0)))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(c(_x91), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), _x91), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), a(c(c(a(c(c(_x101)), c(c(_x141))))), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x141))), _x101), _x81)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), c(c(_x111))), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(a(c(c(c(a(0, 0)))), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(a(c(c(_x71)), c(c(_x111))), 0)))), 0))) → c#(c(a(a(c(a(c(a(0, 0)), 0)), a(a(c(c(c(a(0, 0)))), _x111), _x71)), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(_x141))), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(a(c(c(c(a(0, 0)))), _x141))), _x101))), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(a(0, 0)))), c(c(_x102))), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(c(c(c(a(_x102, 0)))), c(a(0, 0)))), _x101), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x112)))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(c(a(0, 0)))), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(a(c(c(c(a(_x112, 0)))), c(a(0, 0)))), c(a(_x102, 0)))), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), a(a(c(c(_x112)), a(c(_x141), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(c(a(c(c(c(a(_x112, 0)))), _x141)), _x81)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), a(_x81, 0)), 0))) → c#(c(a(c(c(c(_x81))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), c(c(_x131))), 0)))))), 0))) → c#(c(a(c(a(c(a(a(c(c(a(c(a(0, 0)), _x131))), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(c(_x71), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), _x71), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(_x51), 0)))), 0))) → c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), _x51), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(_x121, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(a(_x102, 0)), _x101))), a(c(_x121), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(c(a(a(c(c(c(a(0, 0)))), _x101), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(a(0, 0))))), a(c(c(c(a(0, 0)))), 0)), 0))), a(a(c(c(c(a(a(c(c(c(a(0, 0)))), 0), 0)))), a(a(c(c(0)), c(c(0))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(a(0, 0)), _x141))), c(_x121))), a(c(c(c(a(0, 0)))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(a(0, 0)), _x141))), c(a(_x102, 0)))), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(_x121, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(_x102, 0)), _x101), a(c(_x121), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(c(c(_x121)), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(_x102, 0)), _x101), a(c(_x121), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x131))), _x102), 0))), a(a(c(c(0)), a(a(c(c(0)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(c(a(_x92, 0)))), c(a(_x102, 0)))), a(c(a(0, 0)), _x131)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(a(0, 0))))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(0)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(a(c(a(0, 0)), _x141), c(a(_x102, 0)))), a(c(c(c(a(0, 0)))), _x131)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(a(0, 0))))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(c(a(_x102, 0)), 0)))), a(c(a(0, 0)), _x141)), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(a(c(a(0, 0)), 0))), a(_x121, 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(c(_x121), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x92)), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(c(a(_x102, 0)), 0)))), c(a(_x92, 0))), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(a(c(c(_x131)), _x132), 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(c(c(a(c(a(_x132, 0)), _x131))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(_x81), 0))), a(a(c(c(_x91)), c(c(_x111))), 0))), 0)))), 0))) → c#(c(a(c(a(a(_x81, a(a(c(c(c(a(0, 0)))), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), a(_x151, 0)), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(_x151))), _x101))), a(a(c(c(c(a(_x112, 0)))), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(a(c(a(0, 0)), 0))), a(a(c(c(0)), c(c(c(a(0, 0))))), 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(c(a(0, 0)), _x121)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(a(0, 0))))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(a(0, 0)), _x141))), c(a(_x102, 0)))), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(0)), c(c(0))), 0))), a(a(c(c(a(c(c(c(a(0, 0)))), 0))), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(a(0, 0)))), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), a(a(c(c(_x112)), _x122), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(a(c(c(c(a(c(a(_x122, 0)), 0)))), c(a(_x112, 0))), _x81)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(c(_x131), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(_x102, 0)), _x101), a(c(c(_x131)), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(_x121, 0))), a(a(c(c(_x91)), a(c(_x131), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(_x121), a(c(c(_x131)), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), a(a(c(c(_x121)), a(_x171, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(c(c(a(c(c(c(_x171))), _x121))), _x81)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(0)), a(c(c(a(c(c(0)), _x102))), 0))), 0)))), 0))) → c#(c(a(c(a(c(c(c(c(a(_x102, 0))))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(0)), c(c(c(c(c(a(0, 0))))))), 0))), a(a(c(c(a(c(a(0, 0)), c(c(c(a(0, 0))))))), a(a(c(c(0)), c(c(a(0, 0)))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(0, 0)), a(c(c(c(a(0, 0)))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(a(0, 0)))), c(c(_x131))), 0))), a(c(c(c(_x71))), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(a(0, 0)), _x131), _x111), _x71), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), a(_x121, 0)), 0))), a(a(c(c(c(a(a(_x121, 0), 0)))), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(a(c(c(c(a(0, 0)))), _x141), c(_x121))), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(a(_x102, 0)), _x101))), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x92)), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(_x111)), a(_x141, 0)), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(c(a(_x92, 0)))), c(a(_x102, 0)))), a(a(c(_x141), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(c(a(_x112, 0)))))), _x102), 0))), a(a(c(c(0)), a(a(c(c(0)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(a(_x102, 0)))), _x101))), c(c(c(a(_x112, 0))))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(a(_x102, 0)), _x101))), a(a(c(c(c(a(_x112, 0)))), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(0)), c(c(0))), 0))), a(a(c(c(a(c(a(0, 0)), 0))), a(a(c(c(_x111)), c(c(a(0, 0)))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(0, 0)), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(_x121, 0))), a(a(c(c(_x91)), a(_x121, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(_x121))), a(c(_x121), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), a(_x131, 0)), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(_x131), _x101))), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x92)), a(_x151, 0)), 0))), a(a(c(c(c(_x151))), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(c(a(_x92, 0)))), c(_x151))), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), c(c(_x111))), 0))), a(a(c(c(c(a(c(c(_x111)), 0)))), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(c(c(a(0, 0)))), _x141))), a(c(c(c(a(0, 0)))), _x111))), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(a(0, 0))))), a(c(_x111), 0)), 0))), a(a(c(c(c(a(a(c(_x111), 0), 0)))), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(a(0, 0)), _x141))), _x111)), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(_x121, 0))), a(a(c(c(_x91)), _x92), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(_x121), a(c(c(c(a(_x92, 0)))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x92)), c(c(_x131))), 0))), a(a(c(c(c(a(c(c(_x131)), 0)))), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(c(a(_x92, 0)))), a(c(c(c(a(0, 0)))), _x131))), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(a(c(a(0, 0)), 0))), a(a(c(c(_x131)), _x132), 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(c(c(a(c(c(c(a(_x132, 0)))), _x131))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(_x121, 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), a(c(_x121), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), a(_x131, 0)), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(_x131))), _x101), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x72)), _x82)), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(a(_x72, 0)))), c(a(_x82, 0))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(_x121))), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(a(c(c(c(a(0, 0)))), _x121))), _x101), a(a(a(c(a(0, 0)), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x102, 0)))), _x101), a(a(c(c(c(a(_x112, 0)))), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(c(c(_x102)))), a(c(c(c(_x71))), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(c(a(_x102, 0)))), c(a(0, 0)))), _x71), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(a(0, 0)))), c(c(_x121))), 0))), a(a(c(c(a(c(c(c(a(0, 0)))), _x121))), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(a(0, 0)), _x121), _x101), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(a(0, 0))))), a(_x121, 0)), 0))), a(a(c(c(c(a(a(_x121, 0), 0)))), a(a(c(c(0)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(a(0, 0)), _x141))), c(_x121))), a(c(c(c(a(0, 0)))), _x131)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(_x121, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(_x102, 0)), _x101), a(c(_x121), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x82))))), 0))) → c#(c(a(c(a(c(a(c(a(_x82, 0)), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(a(c(c(_x71)), c(c(_x91))), 0)))), 0))) → c#(c(a(a(c(a(c(a(0, 0)), 0)), a(a(c(c(c(a(0, 0)))), _x91), _x71)), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), a(a(c(c(_x121)), _x122), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(a(c(c(c(a(_x122, 0)))), _x121), _x81)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(c(c(_x121))))))), 0))) → c#(c(a(c(a(c(a(c(c(a(c(c(c(a(0, 0)))), _x121))), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x91)), _x92), 0))), a(c(c(c(_x71))), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x92, 0)))), _x91), _x71), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(_x92, 0), 0))), a(a(c(c(_x91)), _x92), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(_x121))), a(c(a(_x92, 0)), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(0)), c(c(c(c(c(a(0, 0))))))), 0))), a(a(c(c(a(c(a(0, 0)), c(c(c(a(0, 0))))))), a(a(c(c(0)), c(c(a(0, 0)))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(0, 0)), a(c(a(0, 0)), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(c(c(_x91))))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(c(a(0, 0)), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(c(a(_x102, 0)), 0)))), a(c(c(c(a(0, 0)))), _x141)), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(_x121, 0))), a(a(c(c(_x91)), c(c(_x131))), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(_x121))), a(c(c(a(c(c(c(a(0, 0)))), _x131))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(c(a(c(c(_x121)), _x122)), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(_x102, 0)), _x101), a(c(a(c(c(c(a(_x122, 0)))), _x121)), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x81)), _x82), 0))), a(_x131, 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x82, 0)))), _x81), c(_x131)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(0)), c(c(_x71))), 0))), a(c(c(c(0))), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(a(0, 0)))), _x71), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(a(c(c(a(_x102, 0))), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(_x102, 0)), _x101), a(a(a(c(a(0, 0)), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x102, 0)))), _x101), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x72)), a(_x131, 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(_x72, 0)), c(_x131)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(a(c(a(0, 0)), 0))), a(a(c(c(_x111)), _x112), 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(0)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(a(c(c(c(a(0, 0)))), _x141), c(a(_x102, 0)))), c(a(_x112, 0))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(_x141))), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(a(c(c(c(a(0, 0)))), _x141))), _x101))), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(_x101), 0))), a(a(c(c(_x91)), c(c(_x111))), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(_x101)), a(a(c(c(c(a(0, 0)))), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(c(_x81)), 0)))), 0))) → c#(c(a(c(a(c(_x81), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x22)), c(c(_x71))), 0))) → c#(a(c(c(c(a(_x22, 0)))), a(c(c(c(a(0, 0)))), _x71)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(a(c(c(c(a(0, 0)))), a(_x102, 0)))), _x102), 0))), a(a(c(c(0)), a(a(c(c(0)), c(c(a(_x102, 0)))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(a(_x102, 0)), _x101))), a(c(a(0, 0)), _x131)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(a(c(c(_x131)), _x132), 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), a(c(c(a(c(c(c(a(_x132, 0)))), _x131))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(_x141))), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(a(c(c(c(a(0, 0)))), _x141))), _x101))), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(_x101), 0))), a(_x131, 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(_x101)), c(_x131)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(a(c(a(0, 0)), 0))), a(a(c(c(_x111)), c(c(_x151))), 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(a(c(c(a(c(c(c(a(0, 0)))), _x151))), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(0)), a(_x81, 0)), 0))), a(c(c(c(0))), 0))), 0)))), 0))) → c#(c(a(c(a(c(_x81), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x131))), _x102), 0))), a(a(c(c(0)), a(a(c(c(0)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(_x102, 0)), _x101), a(c(a(0, 0)), _x131)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(c(_x91), 0)))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), _x91), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(a(0, 0))))), a(_x121, 0)), 0))), a(a(c(c(c(a(a(_x121, 0), 0)))), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(a(0, 0)), _x141))), c(_x121))), a(a(a(c(a(0, 0)), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(_x91))), 0))), a(a(c(c(_x91)), a(a(c(c(a(c(c(_x91)), 0))), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(c(c(a(0, 0)))), _x91), _x101), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(a(c(a(0, 0)), 0))), a(a(c(c(0)), a(_x131, 0)), 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), c(c(c(_x131)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(c(_x111), 0)))))), 0))) → c#(c(a(c(a(c(a(c(c(_x111)), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(a(0, 0))))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(0)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(a(0, 0)), _x141))), c(a(_x102, 0)))), a(c(a(0, 0)), _x131)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(a(0, 0))))), a(_x121, 0)), 0))), a(a(c(c(c(a(a(_x121, 0), 0)))), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(c(_x121), 0)))), a(c(a(0, 0)), _x141)), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(_x102, 0)), _x101), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(_x121, 0))), a(a(c(c(_x91)), a(c(_x111), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(_x121))), a(_x111, _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x111)), c(c(_x101))), 0))), a(c(c(c(_x71))), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(c(c(a(0, 0)))), _x101), _x111), _x71), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(_x101), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(_x101)), a(c(_x141), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(_x102, 0)), _x101), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(0)), c(c(_x131))), 0))), a(c(c(c(0))), 0))), 0)))), 0))) → c#(c(a(c(a(c(c(a(c(a(0, 0)), _x131))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(0)), c(c(0))), 0)))))), 0))) → c#(c(a(c(a(c(a(c(a(0, 0)), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(_x81), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(_x81, a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(a(c(c(c(a(0, 0)))), a(_x102, 0)))), _x102), 0))), a(a(c(c(0)), a(a(c(c(0)), c(c(a(_x102, 0)))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(a(_x102, 0)), _x101))), a(c(c(c(a(0, 0)))), _x131)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(_x121))), 0))), a(a(c(c(a(c(c(c(a(0, 0)))), _x121))), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(c(c(a(0, 0)))), _x121), _x101), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), c(c(_x31)))) → c#(c(a(c(c(c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x131))), _x102), 0))), a(a(c(c(0)), a(a(c(c(0)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(c(a(_x92, 0)))), c(a(_x102, 0)))), a(c(c(c(a(0, 0)))), _x131)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), c(c(_x111))), 0)))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), a(a(c(a(0, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), a(_x151, 0)), 0))), a(a(c(c(_x91)), a(c(_x131), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(_x151))), _x101))), a(c(c(_x131)), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(c(_x111), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(_x102, 0)), _x101), a(_x111, _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x71))))), 0))) → c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), a(c(c(c(a(0, 0)))), _x71)), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(c(a(c(c(_x121)), _x122)), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x102, 0)))), _x101), a(c(a(c(c(c(a(_x122, 0)))), _x121)), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(a(c(a(0, 0)), _x131))), c(c(_x121))), 0))), a(a(c(c(a(c(a(0, 0)), _x121))), a(a(c(c(0)), c(c(a(0, 0)))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(a(0, 0)), _x121), _x101), a(c(a(0, 0)), _x131)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(a(0, 0)))), c(c(_x102))), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(c(c(c(a(_x102, 0)))), c(a(0, 0)))), _x101), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(_x101), 0))), a(a(c(c(_x91)), a(a(c(c(_x131)), _x132), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(_x101)), a(c(c(a(c(c(c(a(_x132, 0)))), _x131))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(a(0, 0)))), c(c(_x112))), 0))), a(c(c(c(_x71))), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(c(c(a(c(a(0, 0)), 0)))), c(a(_x112, 0))), _x111), _x71), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), a(c(a(0, 0)), _x101)), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(0)), c(c(_x131))), 0))), a(c(c(c(0))), 0))), 0)))), 0))) → c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), a(c(c(c(a(0, 0)))), _x131)), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(c(_x111), 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(_x111, _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(_x121, 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(_x121))), a(c(_x141), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), a(c(_x141), 0)), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(_x141)), _x101))), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(c(c(_x51))), 0)))), 0))) → c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), _x51), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(_x121, 0))), a(a(c(c(_x91)), _x92), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(_x121))), a(c(a(_x92, 0)), _x91)), c(a(0, 0)))), _x31)))

Rewrite Rules

a(a(y, 0), 0) → yc(c(y)) → y
c(a(c(c(y)), x)) → a(c(c(c(a(x, 0)))), y)

Original Signature

Termination of terms over the following signature is verified: 0, c, a

Strategy

The right-hand side of the rule c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(a(c(c(_x71)), c(c(_x111))), 0)))), 0))) → c#(c(a(a(c(a(c(a(0, 0)), 0)), a(a(c(a(0, 0)), _x111), _x71)), _x31))) 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
c#(c(a(a(c(a(c(a(0, 0)), 0)), c(a(0, 0))), _x31))) 
Thus, the rule c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(a(c(c(_x71)), c(c(_x111))), 0)))), 0))) → c#(c(a(a(c(a(c(a(0, 0)), 0)), a(a(c(a(0, 0)), _x111), _x71)), _x31))) is replaced by the following rules:
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(a(c(c(0)), c(c(0))), 0)))), 0))) → c#(c(a(a(c(a(c(a(0, 0)), 0)), c(a(0, 0))), _x31)))

Problem 26: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), c(c(_x111))), 0))), a(a(c(c(c(a(c(c(_x111)), 0)))), a(a(c(c(_x111)), 0), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(a(c(c(c(a(0, 0)))), _x141), a(c(c(c(a(0, 0)))), _x111))), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(a(0, 0))))), c(c(_x111))), 0))), a(a(c(c(c(a(c(c(_x111)), 0)))), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(a(0, 0)), _x141))), a(c(c(c(a(0, 0)))), _x111))), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(_x91, 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(_x91), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x131))), a(_x131, 0)), 0))), a(a(c(c(0)), a(a(c(c(0)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(_x131))), _x101), a(c(a(0, 0)), _x131)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(a(c(c(_x91)), _x92)), 0))), a(a(c(c(_x91)), _x92), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(c(a(_x92, 0)))), _x91)), a(c(a(_x92, 0)), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(a(0, 0))))), a(a(c(c(_x111)), _x112), 0)), 0))), a(a(c(c(c(a(a(a(c(c(_x111)), _x112), 0), 0)))), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(a(0, 0)), _x141))), a(c(c(c(a(_x112, 0)))), _x111))), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), a(_x131, 0)), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(_x131))), _x101), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(c(c(c(a(0, 0)))))), a(a(c(c(_x101)), c(c(_x111))), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(a(0, 0)), _x111))), a(a(c(c(c(a(0, 0)))), _x111), _x101)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(_x101, 0))), a(a(c(c(_x101)), _x102), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(_x101), a(c(c(c(a(_x102, 0)))), _x101)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), a(_x121, 0)), 0))), a(a(c(c(c(a(a(_x121, 0), 0)))), a(a(c(c(_x111)), a(_x141, 0)), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(c(c(a(0, 0)))), _x141))), c(_x121))), a(a(c(_x141), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(_x111)), a(_x141, 0)), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(c(c(a(0, 0)))), _x141))), c(a(_x102, 0)))), a(a(c(_x141), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(c(a(a(_x171, 0), 0))))), 0))), a(a(c(c(a(c(c(c(a(0, 0)))), c(a(a(_x171, 0), 0))))), a(a(c(c(_x122)), a(_x171, 0)), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(a(0, 0)), _x121), _x101), a(c(a(c(c(c(a(_x122, 0)))), c(_x171))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(a(0, 0))))), a(_x121, 0)), 0))), a(a(c(c(c(a(a(_x121, 0), 0)))), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(a(c(a(0, 0)), _x141), c(_x121))), a(a(a(c(a(0, 0)), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(_x111)), a(_x141, 0)), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(a(c(c(c(a(0, 0)))), _x141), c(a(_x102, 0)))), a(a(c(_x141), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(a(c(c(_x131)), _x132), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x102, 0)))), _x101), a(c(c(a(c(c(c(a(_x132, 0)))), _x131))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), a(_x111, 0)), 0))), a(a(c(c(_x91)), a(c(_x131), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(_x111), _x101), a(c(c(_x131)), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(0)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(a(0, 0)), _x141))), c(a(_x102, 0)))), c(a(_x112, 0))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x102, 0)))), _x101), a(c(_x141), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x131))), c(c(0))), 0))), a(a(c(c(0)), a(a(c(c(0)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(c(c(a(0, 0)))))), a(c(a(0, 0)), _x131)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x92)), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(c(a(_x92, 0)))), c(a(_x102, 0)))), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), a(a(c(c(c(c(_x161)))), _x122), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(c(a(c(c(a(c(c(c(a(0, 0)))), _x161))), c(a(_x122, 0)))), _x81)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(c(c(_x111)))), a(_x131, 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x111))), c(_x131)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x72)), a(a(c(c(_x101)), _x102), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(a(_x72, 0)))), a(c(a(_x102, 0)), _x101)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x92)), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(_x121, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(c(a(_x92, 0)))), c(a(_x102, 0)))), a(c(_x121), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(_x121))), 0))), a(a(c(c(a(c(c(c(a(0, 0)))), _x121))), a(a(c(c(_x131)), _x132), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(c(c(a(0, 0)))), _x121), _x101), a(c(c(a(c(a(_x132, 0)), _x131))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(a(c(c(_x71)), a(a(c(c(_x91)), _x92), 0)), 0)))), 0))) → c#(c(a(a(c(a(c(a(0, 0)), 0)), a(a(c(c(c(a(_x92, 0)))), _x91), _x71)), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x81)), _x82), 0))), a(a(c(c(_x91)), a(a(c(c(_x131)), c(c(_x151))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x82, 0)))), _x81), a(a(c(c(a(c(c(c(a(0, 0)))), _x151))), _x131), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), a(_x131, 0)), 0))), a(a(c(c(_x91)), a(c(_x131), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(_x131))), _x101), a(c(c(_x131)), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(a(c(a(0, 0)), 0))), a(a(c(c(0)), c(c(c(c(_x141))))), 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), c(a(c(c(a(c(c(c(a(0, 0)))), _x141))), c(a(0, 0))))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(a(0, 0)))), c(c(_x121))), 0))), a(a(c(c(a(c(c(c(a(0, 0)))), _x121))), a(a(c(c(_x131)), _x132), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(a(0, 0)), _x121), _x101), a(c(c(a(c(c(c(a(_x132, 0)))), _x131))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x81)), _x82), 0))), a(c(_x91), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x82, 0)))), _x81), _x91), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x81)), _x82), 0))), a(a(c(c(_x91)), a(a(c(c(_x131)), _x132), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x82, 0)))), _x81), a(c(c(a(c(a(_x132, 0)), _x131))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x92)), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(c(a(_x92, 0)))), c(a(_x102, 0)))), a(a(c(c(c(a(_x112, 0)))), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(_x121))), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), c(c(a(0, 0)))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(a(c(a(0, 0)), _x121))), _x101), a(a(a(c(a(0, 0)), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x72)), a(c(c(c(c(c(_x71))))), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(a(_x72, 0)))), _x71), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x81)), _x82), 0))), a(a(c(c(_x91)), a(c(_x111), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x82, 0)))), _x81), a(_x111, _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(a(0, 0))))), c(c(_x111))), 0))), a(a(c(c(c(a(c(c(_x111)), 0)))), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(a(c(a(0, 0)), _x141), a(c(c(c(a(0, 0)))), _x111))), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), a(a(c(c(a(_x161, 0))), a(_x161, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(c(a(c(c(c(_x161))), c(_x161))), _x81)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(_x102, 0)), _x101), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x81)), _x82), 0))), a(a(c(c(_x91)), a(a(c(c(a(_x82, 0))), a(_x161, 0)), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(_x82, 0)), _x81), a(a(c(c(c(_x161))), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), a(a(c(c(_x121)), c(c(_x161))), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(c(c(a(c(c(a(c(c(c(a(0, 0)))), _x161))), _x121))), _x81)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), a(_x111, 0))), 0)))), 0))) → c#(c(a(c(a(c(a(c(_x111), _x81)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(a(_x102, 0)))), _x101))), a(a(a(c(a(0, 0)), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), a(_x151, 0)), 0))), a(a(c(c(_x91)), a(a(c(c(_x131)), _x132), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(_x151))), _x101))), a(c(c(a(c(c(c(a(_x132, 0)))), _x131))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(0)), c(c(_x131))), 0))), a(c(c(c(0))), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(a(0, 0)))), _x131), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(_x102, 0), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(a(_x102, 0)), _x101))), c(_x131)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(c(c(_x91)))), a(a(c(c(_x101)), _x102), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(0, 0)))), _x91), a(c(c(c(a(_x102, 0)))), _x101)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(c(_x131), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(a(_x102, 0)))), _x101))), a(c(c(_x131)), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(a(c(c(a(_x102, 0))), c(c(0))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(_x102, 0)), _x101), a(c(c(c(a(0, 0)))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x81)), c(c(_x121))), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(a(c(c(c(a(0, 0)))), _x121))), _x81), a(c(_x141), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x131))), c(c(_x121))), 0))), a(a(c(c(0)), a(a(c(c(0)), c(c(a(0, 0)))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(a(c(a(0, 0)), _x121))), _x101), a(c(c(c(a(0, 0)))), _x131)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(a(0, 0))))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(0)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(a(c(a(0, 0)), _x141), c(a(_x102, 0)))), a(c(a(0, 0)), _x131)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x131))), _x102), 0))), a(a(c(c(0)), a(a(c(c(0)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(a(_x102, 0)), _x101))), a(c(c(c(a(0, 0)))), _x131)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(c(a(_x102, 0)), 0)))), a(c(c(c(a(0, 0)))), _x141)), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(c(c(c(a(_x102, 0)))))), a(a(c(c(_x101)), _x102), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(a(0, 0)), _x111))), a(c(a(_x102, 0)), _x101)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(a(0, 0)))), c(c(_x112))), 0))), a(c(c(c(0))), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(c(a(_x112, 0)), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(_x71), 0)))), 0))) → c#(c(a(a(c(a(c(a(0, 0)), 0)), _x71), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(_x111)), a(_x141, 0)), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(a(c(a(0, 0)), _x141), c(a(_x102, 0)))), a(a(c(_x141), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(a(c(c(c(a(0, 0)))), _x141), c(a(_x102, 0)))), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(_x81), 0))), a(a(c(c(_x91)), a(_x121, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(_x81, a(c(_x121), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(0)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(a(c(a(0, 0)), _x141), c(a(_x102, 0)))), c(a(_x112, 0))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(_x121, 0))), a(a(c(c(_x91)), a(c(c(_x121)), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(_x121))), a(c(_x121), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(a(c(c(_x91)), _x92)), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(c(a(_x92, 0)))), _x91)), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(a(0, 0)))), c(c(c(c(c(a(0, 0))))))), 0))), a(a(c(c(_x91)), a(a(c(c(0)), c(c(0))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(c(_x121), c(a(0, 0)))), _x101), a(c(a(0, 0)), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(_x141))), 0))), a(_x131, 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(a(c(c(c(a(0, 0)))), _x141))), _x101))), c(_x131)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(_x101), 0))), a(a(c(c(_x91)), a(_x121, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(_x101)), a(c(_x121), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x22)), _x32), 0))) → c#(a(c(c(c(a(_x22, 0)))), c(a(_x32, 0))))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), a(_x151, 0)), 0))), a(_x131, 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(_x151))), _x101))), c(_x131)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(a(c(a(0, 0)), 0))), a(a(c(c(0)), c(c(_x91))), 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(c(c(c(a(0, 0)))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x81)), _x82), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(_x82, 0)), _x81), a(a(c(c(c(a(_x112, 0)))), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x112)))), a(_x121, 0)), 0))), a(a(c(c(c(a(a(_x121, 0), 0)))), a(a(c(c(c(a(0, 0)))), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(a(c(c(c(a(_x112, 0)))), c(a(0, 0)))), c(_x121))), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), a(a(c(c(_x101)), _x102), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(a(c(a(_x102, 0)), _x101), _x81)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), c(c(_x131))), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(c(c(a(c(a(0, 0)), _x131))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(_x101), 0))), a(a(c(c(_x91)), c(c(_x131))), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(_x101)), a(c(c(a(c(c(c(a(0, 0)))), _x131))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(c(a(0, 0)))), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(a(c(a(0, 0)), _x141), c(a(_x102, 0)))), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x81)), a(_x111, 0)), 0))), a(a(c(c(_x91)), a(a(c(c(a(a(_x111, 0), 0))), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(_x111), _x81), a(a(c(c(c(a(_x112, 0)))), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), c(c(_x131))), 0)))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), a(c(c(a(c(a(0, 0)), _x131))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(a(c(c(_x91)), _x92), 0)))), 0))) → c#(c(a(c(a(c(c(a(c(c(c(a(_x92, 0)))), _x91))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), c(c(_x131))), 0)))))), 0))) → c#(c(a(c(a(c(a(a(a(c(c(c(a(0, 0)))), _x131), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(a(0, 0))))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(0)), c(c(0))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(a(0, 0)), _x141))), c(a(_x102, 0)))), a(c(c(c(a(0, 0)))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), a(a(c(c(_x111)), _x112), 0)), 0))), a(a(c(c(c(a(a(a(c(c(_x111)), _x112), 0), 0)))), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(c(c(a(0, 0)))), _x141))), a(c(c(c(a(_x112, 0)))), _x111))), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x81)), a(_x131, 0)), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(_x131))), _x81), a(c(_x141), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(_x121, 0))), a(a(c(c(_x91)), a(a(c(c(_x131)), _x132), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(_x121), a(c(c(a(c(c(c(a(_x132, 0)))), _x131))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), c(c(_x122))), 0)))))), 0))) → c#(c(a(c(a(c(a(a(c(a(c(c(c(a(_x122, 0)))), c(a(0, 0)))), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x111)), _x112), 0)))))), 0))) → c#(c(a(c(a(c(a(c(c(a(c(c(c(a(_x112, 0)))), _x111))), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), a(_x121, 0)), 0))), a(a(c(c(c(a(a(_x121, 0), 0)))), a(a(c(c(_x111)), a(_x141, 0)), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(a(0, 0)), _x141))), c(_x121))), a(a(c(_x141), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(c(c(c(a(c(c(_x111)), 0)))))), a(a(c(c(_x101)), c(c(_x111))), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x111))), a(a(c(c(c(a(0, 0)))), _x111), _x101)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x92)), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(a(_x92, 0)), c(a(_x102, 0)))), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), _x32), 0))) → c#(c(a(c(a(_x32, 0)), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(c(a(_x102, 0)), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(a(_x102, 0)), _x101))), a(c(_x121), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x111)), c(c(_x151))), 0))), a(c(c(c(_x71))), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(a(c(c(c(a(0, 0)))), _x151))), _x111))), _x71), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(a(c(a(0, 0)), 0))), a(c(_x131), 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(c(c(_x131)), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(a(c(c(_x131)), _x132), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(a(_x102, 0)))), _x101))), a(c(c(a(c(c(c(a(_x132, 0)))), _x131))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(_x121))), 0))), a(a(c(c(_x91)), a(c(_x131), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(a(c(c(c(a(0, 0)))), _x121))), _x101), a(c(c(_x131)), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(_x121, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x102, 0)))), _x101), a(c(_x121), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x81)), c(c(_x101))), 0))), a(a(c(c(_x91)), a(a(c(c(a(c(c(_x101)), 0))), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(c(c(a(0, 0)))), _x101), _x81), a(a(c(c(c(a(_x112, 0)))), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(a(c(c(_x91)), _x92)), 0))), a(a(c(c(_x91)), _x92), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(c(a(_x92, 0)))), _x91)), a(c(c(c(a(_x92, 0)))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x102)), _x112), 0))), a(c(c(c(_x71))), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(c(a(_x102, 0)))), c(a(_x112, 0)))), _x71), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), a(a(c(c(_x112)), c(c(_x151))), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(c(a(c(c(c(a(_x112, 0)))), a(c(c(c(a(0, 0)))), _x151))), _x81)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), a(_x121, 0)), 0))), a(a(c(c(c(a(a(_x121, 0), 0)))), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(a(c(a(0, 0)), _x141), c(_x121))), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(a(0, 0)))), c(c(c(c(c(a(0, 0))))))), 0))), a(a(c(c(_x91)), a(a(c(c(0)), c(c(0))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(c(c(c(a(_x102, 0)))), c(a(0, 0)))), _x101), a(c(a(0, 0)), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x111)), c(c(c(a(0, 0))))), 0))), a(c(c(c(_x71))), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(a(0, 0)), _x131), _x111), _x71), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), a(a(c(c(_x141)), _x142), 0)), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(a(c(c(c(a(_x142, 0)))), _x141))), _x101))), a(c(_x141), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(_x101), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(_x101)), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x111)), a(_x141, 0)), 0))), a(c(c(c(_x71))), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(_x141))), _x111), _x71), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x92)), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(0)), c(c(0))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(c(a(_x92, 0)))), c(a(_x102, 0)))), a(c(a(0, 0)), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(a(0, 0)))), c(c(c(a(a(_x171, 0), 0))))), 0))), a(a(c(c(a(c(c(c(a(0, 0)))), c(a(a(_x171, 0), 0))))), a(a(c(c(_x122)), a(_x171, 0)), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(a(0, 0)), _x121), _x101), a(c(a(c(c(c(a(_x122, 0)))), c(_x171))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x131))), c(c(_x121))), 0))), a(a(c(c(0)), a(a(c(c(0)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(a(c(a(0, 0)), _x121), _x101))), a(c(a(0, 0)), _x131)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x72)), a(a(c(c(_x121)), _x122), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(a(_x72, 0)))), a(c(c(c(a(_x122, 0)))), _x121)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(a(0, 0)))), c(c(c(c(_x151))))), 0))), a(c(c(c(_x71))), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(c(c(a(c(c(c(a(0, 0)))), _x151))), c(a(0, 0)))), _x111), _x71), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), a(_x121, 0)), 0))), a(a(c(c(c(a(a(_x121, 0), 0)))), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(c(_x121), 0)))), a(c(a(0, 0)), _x141)), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), c(c(a(0, 0)))), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(a(c(a(0, 0)), _x131), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x81)), _x82), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(_x82, 0)), _x81), a(c(_x141), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x131))), c(c(_x141))), 0))), a(a(c(c(0)), a(a(c(c(0)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(a(c(c(c(a(0, 0)))), _x141))), _x101))), a(c(a(0, 0)), _x131)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x131))), c(c(_x141))), 0))), a(a(c(c(0)), a(a(c(c(0)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(a(c(c(c(a(0, 0)))), _x141))), _x101))), a(c(c(c(a(0, 0)))), _x131)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x81)), _x82), 0))), a(a(c(c(_x91)), a(c(_x131), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x82, 0)))), _x81), a(c(c(_x131)), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(a(0, 0)))), c(c(c(c(c(a(0, 0))))))), 0))), a(a(c(c(c(_x151))), a(a(c(c(0)), c(c(0))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(c(c(a(c(a(0, 0)), 0)))), c(_x151)), _x101), a(c(c(c(a(0, 0)))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x81)), _x82), 0))), a(a(c(c(_x91)), a(a(c(c(a(_x82, 0))), c(c(_x151))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(_x82, 0)), _x81), a(a(c(c(a(c(c(c(a(0, 0)))), _x151))), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), a(c(c(a(c(c(_x101)), a(_x151, 0)))), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(a(c(c(c(_x151))), _x101), _x81)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(_x141, 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), a(c(_x141), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(_x141))), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(a(c(c(c(a(0, 0)))), _x141))), _x101))), a(a(c(c(c(a(_x112, 0)))), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(c(a(0, 0))))), 0))), a(a(c(c(a(c(a(0, 0)), c(a(0, 0))))), a(a(c(c(0)), c(c(a(0, 0)))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(a(0, 0)), _x121), _x101), a(c(a(0, 0)), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(_x91), 0))), a(c(c(c(_x71))), 0))), 0)))), 0))) → c#(c(a(c(a(a(_x91, _x71), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), a(a(c(c(_x101)), a(_x151, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(a(c(c(c(_x151))), _x101), _x81)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x81)), a(_x131, 0)), 0))), a(a(c(c(_x91)), a(a(c(c(_x131)), _x132), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(_x131))), _x81), a(a(c(c(c(a(_x132, 0)))), _x131), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x92)), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(c(a(_x92, 0)))), c(a(_x102, 0)))), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x92)), a(_x141, 0)), 0))), a(a(c(c(c(a(a(_x141, 0), 0)))), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(c(a(_x92, 0)))), c(_x141))), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), c(c(_x111))), 0))), a(a(c(c(c(a(c(c(_x111)), 0)))), a(a(c(c(_x111)), 0), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(c(c(a(0, 0)))), _x141))), a(c(c(c(a(0, 0)))), _x111))), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(c(c(c(a(0, 0))))))), 0))), a(a(c(c(_x91)), a(a(c(c(0)), c(c(0))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(a(c(c(c(a(0, 0)))), _x121))), _x101), a(c(a(0, 0)), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(_x121))), 0))), a(a(c(c(a(c(c(c(a(0, 0)))), _x121))), a(c(_x131), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(c(c(a(0, 0)))), _x121), _x101), a(c(c(_x131)), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x102, 0)))), _x101), a(a(a(c(a(0, 0)), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(0)), a(a(c(c(0)), _x102), 0))), 0)))), 0))) → c#(c(a(c(a(c(c(c(c(a(_x102, 0))))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x111)), c(c(_x131))), 0))), a(c(c(c(_x71))), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(a(0, 0)), _x131), _x111), _x71), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(_x121))), 0))), a(a(c(c(a(c(c(c(a(0, 0)))), _x121))), a(a(c(c(_x131)), a(_x181, 0)), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(c(c(a(0, 0)))), _x121), _x101), a(c(c(a(c(c(c(_x181))), _x131))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(_x111, 0)))), 0))) → c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), c(_x111)), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x131))), c(c(_x121))), 0))), a(a(c(c(0)), a(a(c(c(0)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(a(c(c(c(a(0, 0)))), _x121))), _x101), a(c(c(c(a(0, 0)))), _x131)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(a(0, 0)))), c(c(c(c(c(a(0, 0))))))), 0))), a(a(c(c(_x91)), a(a(c(c(0)), c(c(0))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(c(c(a(c(c(c(a(0, 0)))), _x141))), c(a(0, 0)))), _x101), a(c(c(c(a(0, 0)))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(_x121, 0))), a(a(c(c(_x91)), a(_x121, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(_x121), a(c(_x121), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), _x92), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(a(_x102, 0)))), _x101))), a(c(c(c(a(_x92, 0)))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x81)), a(_x131, 0)), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(_x131))), _x81), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x131))), a(_x151, 0)), 0))), a(a(c(c(0)), a(a(c(c(0)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(_x151))), _x101))), a(c(c(c(a(0, 0)))), _x131)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(c(a(_x132, 0))))), 0))), a(a(c(c(a(c(c(c(a(0, 0)))), c(a(_x132, 0))))), a(a(c(c(_x122)), _x132), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(c(c(a(0, 0)))), _x121), _x101), a(a(c(c(c(a(c(a(_x132, 0)), 0)))), c(a(_x122, 0))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(c(c(a(0, 0)))), _x141))), c(a(_x102, 0)))), a(a(a(c(a(0, 0)), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), a(a(c(c(_x112)), a(a(c(c(_x141)), _x142), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(c(a(c(c(c(a(_x112, 0)))), a(c(c(c(a(_x142, 0)))), _x141))), _x81)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(a(0, 0)))), c(c(c(c(c(a(0, 0))))))), 0))), a(a(c(c(_x91)), a(a(c(c(0)), c(c(0))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(a(c(c(c(a(_x112, 0)))), _x111), c(a(0, 0)))), _x101), a(c(c(c(a(0, 0)))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(a(0, 0)))), c(c(_x112))), 0))), a(c(c(c(0))), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), c(a(_x112, 0))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x81)), a(_x131, 0)), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(_x131))), _x81), a(a(c(c(c(a(_x112, 0)))), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x81)), c(c(_x121))), 0))), a(a(c(c(_x91)), a(a(c(c(_x131)), _x132), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(a(c(c(c(a(0, 0)))), _x121))), _x81), a(c(c(a(c(c(c(a(_x132, 0)))), _x131))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(a(0, 0))))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(a(0, 0)), _x141))), c(a(_x102, 0)))), a(a(a(c(a(0, 0)), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(c(c(_x21)), 0))) → c#(_x21)
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), a(_x151, 0)), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(_x151))), _x101))), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(0)), c(c(0))), 0))), a(a(c(c(a(c(c(c(a(0, 0)))), 0))), a(a(c(c(_x131)), _x132), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(a(0, 0)))), a(c(c(a(c(c(c(a(_x132, 0)))), _x131))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(a(0, 0)))), c(c(c(c(c(a(0, 0))))))), 0))), a(a(c(c(_x91)), a(a(c(c(0)), c(c(0))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(c(a(_x102, 0)), c(a(0, 0)))), _x101), a(c(c(c(a(0, 0)))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(c(a(c(c(a(c(a(0, 0)), _x101))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(c(c(_x121)), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x102, 0)))), _x101), a(c(_x121), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(a(c(c(_x51)), 0)), 0))), a(c(0), 0))), 0)))), 0))) → c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), _x51), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), a(a(c(c(_x121)), _x122), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(c(c(a(c(a(_x122, 0)), _x121))), _x81)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(c(c(c(a(0, 0))))))), 0))), a(a(c(c(a(c(c(c(a(0, 0)))), a(0, 0)))), a(a(c(c(0)), c(c(0))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(a(0, 0)), _x121), _x101), a(c(a(0, 0)), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), a(_x151, 0)), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(_x151), _x101))), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(a(_x102, 0)))), _x101))), a(c(_x141), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x81)), _x82), 0))), a(a(c(c(_x91)), a(a(c(c(_x122)), _x132), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x82, 0)))), _x81), a(c(a(c(c(c(a(_x122, 0)))), c(a(_x132, 0)))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(c(c(a(0, 0))))), a(c(c(c(_x71))), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(0, 0)), _x111), _x71), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(0)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(c(a(_x102, 0)), 0)))), a(c(c(c(a(0, 0)))), _x141)), c(a(_x112, 0))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), a(c(c(a(c(c(_x101)), c(c(_x141))))), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x141))), _x101), _x81)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(c(c(c(a(0, 0))))))), 0))), a(a(c(c(_x91)), a(a(c(c(0)), c(c(0))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(a(c(a(0, 0)), _x121))), _x101), a(c(c(c(a(0, 0)))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), c(c(_x111))), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(a(c(c(c(a(0, 0)))), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x81)), _x82), 0))), a(a(c(c(_x91)), a(a(c(c(_x131)), a(_x161, 0)), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x82, 0)))), _x81), a(a(c(c(c(_x161))), _x131), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(a(c(c(_x71)), c(c(_x111))), 0)))), 0))) → c#(c(a(a(c(a(c(a(0, 0)), 0)), a(a(c(c(c(a(0, 0)))), _x111), _x71)), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(_x141))), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(a(c(c(c(a(0, 0)))), _x141))), _x101))), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(a(0, 0)))), c(c(_x102))), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(c(c(c(a(_x102, 0)))), c(a(0, 0)))), _x101), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(_x51), 0)))), 0))) → c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), _x51), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(c(a(a(c(c(c(a(0, 0)))), _x101), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(_x121, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(a(_x102, 0)), _x101))), a(c(_x121), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(a(0, 0))))), a(c(c(c(a(0, 0)))), 0)), 0))), a(a(c(c(c(a(a(c(c(c(a(0, 0)))), 0), 0)))), a(a(c(c(0)), c(c(0))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(a(0, 0)), _x141))), c(_x121))), a(c(c(c(a(0, 0)))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x131))), _x102), 0))), a(a(c(c(0)), a(a(c(c(0)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(c(a(_x92, 0)))), c(a(_x102, 0)))), a(c(a(0, 0)), _x131)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(c(c(_x121)), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(_x102, 0)), _x101), a(c(_x121), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x81)), a(_x131, 0)), 0))), a(a(c(c(_x91)), a(a(c(c(_x131)), _x132), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(_x131))), _x81), a(c(c(a(c(c(c(a(_x132, 0)))), _x131))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(a(c(c(_x131)), _x132), 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(c(c(a(c(a(_x132, 0)), _x131))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(a(c(a(0, 0)), 0))), a(_x121, 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(c(_x121), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(a(c(c(0)), c(c(0))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x102, 0)))), _x101), a(c(a(0, 0)), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), a(a(c(c(_x112)), _x122), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(a(c(c(c(a(c(a(_x122, 0)), 0)))), c(a(_x112, 0))), _x81)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(a(0, 0))))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(a(0, 0)), _x141))), c(a(_x102, 0)))), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(_x121, 0))), a(a(c(c(_x91)), a(c(_x131), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(_x121), a(c(c(_x131)), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(a(0, 0))))), a(c(c(c(a(0, 0)))), 0)), 0))), a(a(c(c(c(a(a(c(c(c(a(0, 0)))), 0), 0)))), a(a(c(c(0)), c(c(0))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(a(c(a(0, 0)), _x141), c(_x121))), a(c(c(c(a(0, 0)))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), a(a(c(c(_x121)), a(_x171, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(c(c(a(c(c(c(_x171))), _x121))), _x81)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(a(0, 0)))), c(c(_x131))), 0))), a(c(c(c(_x71))), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(a(0, 0)), _x131), _x111), _x71), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(a(_x102, 0)), _x101))), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), c(c(_x111))), 0))), a(a(c(c(c(a(c(c(_x111)), 0)))), a(a(c(c(0)), 0), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(c(c(a(0, 0)))), _x141))), a(c(c(c(a(0, 0)))), _x111))), c(a(_x112, 0))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x92)), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(_x111)), a(_x141, 0)), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(c(a(_x92, 0)))), c(a(_x102, 0)))), a(a(c(_x141), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(c(a(_x132, 0))))), 0))), a(a(c(c(a(c(c(c(a(0, 0)))), c(a(_x132, 0))))), a(a(c(c(_x122)), _x132), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(a(0, 0)), _x121), _x101), a(c(a(c(c(c(a(_x122, 0)))), c(a(_x132, 0)))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), c(c(_x122))), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(c(a(c(c(c(a(_x122, 0)))), c(a(0, 0)))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(0)), c(c(0))), 0))), a(a(c(c(a(c(a(0, 0)), 0))), a(a(c(c(_x111)), c(c(a(0, 0)))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(0, 0)), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(_x121, 0))), a(a(c(c(_x91)), a(_x121, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(_x121))), a(c(_x121), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), a(_x131, 0)), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(_x131), _x101))), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x92)), a(_x151, 0)), 0))), a(a(c(c(c(_x151))), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(c(a(_x92, 0)))), c(_x151))), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(a(0, 0)))), c(c(c(c(c(a(0, 0))))))), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(0)), c(c(0))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(c(c(a(c(a(0, 0)), 0)))), c(a(_x102, 0))), _x101), a(c(c(c(a(0, 0)))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), a(_x131, 0)), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(_x131))), _x101), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(_x121))), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(a(c(c(c(a(0, 0)))), _x121))), _x101), a(a(a(c(a(0, 0)), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(_x121, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(_x102, 0)), _x101), a(c(_x121), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), a(a(c(c(_x121)), _x122), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(a(c(c(c(a(_x122, 0)))), _x121), _x81)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(a(0, 0))))), a(_x121, 0)), 0))), a(a(c(c(c(a(a(_x121, 0), 0)))), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(a(0, 0)), _x141))), c(_x121))), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(a(0, 0)))), c(c(c(c(c(a(0, 0))))))), 0))), a(a(c(c(_x91)), a(a(c(c(0)), c(c(0))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(c(c(a(c(a(0, 0)), 0)))), _x91), _x101), a(c(c(c(a(0, 0)))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(_x92, 0), 0))), a(a(c(c(_x91)), _x92), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(_x121))), a(c(a(_x92, 0)), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(c(c(_x91))))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(c(a(0, 0)), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(_x121, 0))), a(a(c(c(_x91)), c(c(_x131))), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(_x121))), a(c(c(a(c(c(c(a(0, 0)))), _x131))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(c(c(0)))), a(c(c(c(0))), 0))), 0)))), 0))) → c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), c(a(0, 0))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x81)), _x82), 0))), a(_x131, 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x82, 0)))), _x81), c(_x131)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(a(c(c(_x71)), a(c(_x91), 0)), 0)))), 0))) → c#(c(a(a(c(a(c(a(0, 0)), 0)), a(_x91, _x71)), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x102, 0)))), _x101), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(c(a(a(c(_x151), 0), 0))))), 0))), a(a(c(c(a(c(c(c(a(0, 0)))), c(a(a(c(_x151), 0), 0))))), a(a(c(c(_x122)), a(c(_x151), 0)), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(c(c(a(0, 0)))), _x121), _x101), a(c(a(c(c(c(a(_x122, 0)))), _x151)), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(_x141))), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(a(c(c(c(a(0, 0)))), _x141))), _x101))), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(_x101), 0))), a(a(c(c(_x91)), c(c(_x111))), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(_x101)), a(a(c(c(c(a(0, 0)))), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(c(_x81)), 0)))), 0))) → c#(c(a(c(a(c(_x81), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(c(c(c(a(_x102, 0)))))), a(a(c(c(_x101)), _x102), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(0, 0)))), _x111), a(c(a(_x102, 0)), _x101)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(a(c(c(c(a(0, 0)))), a(_x102, 0)))), _x102), 0))), a(a(c(c(0)), a(a(c(c(0)), c(c(a(_x102, 0)))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(a(_x102, 0)), _x101))), a(c(a(0, 0)), _x131)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(a(c(c(_x131)), _x132), 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), a(c(c(a(c(c(c(a(_x132, 0)))), _x131))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(a(c(a(0, 0)), 0))), a(a(c(c(_x111)), c(c(_x151))), 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(a(c(c(a(c(c(c(a(0, 0)))), _x151))), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(_x101), 0))), a(_x131, 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(_x101)), c(_x131)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(c(c(c(a(0, 0)))))), a(a(c(c(_x101)), _x102), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(0, 0)), _x111), a(c(a(_x102, 0)), _x101)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(0)), a(_x81, 0)), 0))), a(c(c(c(0))), 0))), 0)))), 0))) → c#(c(a(c(a(c(_x81), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(0)), c(c(c(c(c(a(0, 0))))))), 0))), a(a(c(c(a(c(c(c(a(0, 0)))), 0))), a(a(c(c(0)), c(c(0))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(a(0, 0)))), a(c(c(c(a(0, 0)))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(_x91))), 0))), a(a(c(c(_x91)), a(a(c(c(a(c(c(_x91)), 0))), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(c(c(a(0, 0)))), _x91), _x101), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(a(0, 0))))), a(_x121, 0)), 0))), a(a(c(c(c(a(a(_x121, 0), 0)))), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(c(_x121), 0)))), a(c(a(0, 0)), _x141)), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), c(c(_x131))), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(a(c(a(0, 0)), _x131), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(0)), c(c(c(a(a(_x171, 0), 0))))), 0))), a(a(c(c(a(c(c(c(a(0, 0)))), c(a(a(_x171, 0), 0))))), a(a(c(c(_x122)), a(_x171, 0)), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(a(0, 0)))), a(c(a(c(c(c(a(_x122, 0)))), c(_x171))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(c(c(0)))), a(c(c(c(0))), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(0, 0)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(0)), c(c(_x131))), 0))), a(c(c(c(0))), 0))), 0)))), 0))) → c#(c(a(c(a(c(c(a(c(a(0, 0)), _x131))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), c(c(_x31)))) → c#(c(a(c(c(c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(_x121))), 0))), a(a(c(c(a(c(c(c(a(0, 0)))), _x121))), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(c(c(a(0, 0)))), _x121), _x101), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), a(_x131, 0)), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(_x131), _x101))), a(c(_x141), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x71))))), 0))) → c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), a(c(c(c(a(0, 0)))), _x71)), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(_x101), 0))), a(a(c(c(_x91)), a(a(c(c(_x131)), _x132), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(_x101)), a(c(c(a(c(c(c(a(_x132, 0)))), _x131))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(a(0, 0)))), c(c(_x102))), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(c(c(c(a(_x102, 0)))), c(a(0, 0)))), _x101), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(a(0, 0)))), c(c(_x112))), 0))), a(c(c(c(_x71))), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(c(c(a(c(a(0, 0)), 0)))), c(a(_x112, 0))), _x111), _x71), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(0)), c(c(_x131))), 0))), a(c(c(c(0))), 0))), 0)))), 0))) → c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), a(c(c(c(a(0, 0)))), _x131)), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(c(_x111), 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(_x111, _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(_x121, 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(_x121))), a(c(_x141), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), a(c(_x141), 0)), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(_x141)), _x101))), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(_x121, 0))), a(a(c(c(_x91)), _x92), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(_x121))), a(c(a(_x92, 0)), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x81)), _x82), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(_x82, 0)), _x81), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), a(c(_x111), 0)), 0))), a(a(c(c(c(a(a(c(_x111), 0), 0)))), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(a(0, 0)), _x141))), _x111)), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(a(c(a(0, 0)), 0))), a(a(c(c(0)), a(c(_x91), 0)), 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), _x91), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(a(0, 0))))), c(c(_x111))), 0))), a(a(c(c(c(a(c(c(_x111)), 0)))), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(a(c(a(0, 0)), _x141), a(c(c(c(a(0, 0)))), _x111))), a(a(a(c(a(0, 0)), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x72)), a(a(c(c(_x101)), c(c(_x141))), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(_x72, 0)), a(c(c(a(c(c(c(a(0, 0)))), _x141))), _x101)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x81)), c(c(_x121))), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(a(c(c(c(a(0, 0)))), _x121))), _x81), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(_x121))), 0))), a(a(c(c(a(c(c(c(a(0, 0)))), _x121))), a(a(c(c(_x131)), _x132), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(a(0, 0)), _x121), _x101), a(c(c(a(c(c(c(a(_x132, 0)))), _x131))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), a(_x151, 0)), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(_x151), _x101))), a(c(_x141), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x72)), a(a(c(c(_x101)), _x102), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(_x72, 0)), a(c(a(_x102, 0)), _x101)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(_x91, 0))), a(a(c(c(_x91)), a(c(_x131), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(_x91), a(c(c(_x131)), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(_x121))), 0))), a(a(c(c(a(c(c(c(a(0, 0)))), _x121))), a(_x121, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(c(c(a(0, 0)))), _x121), _x101), a(c(_x121), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x131))), c(c(0))), 0))), a(a(c(c(a(c(a(0, 0)), 0))), a(a(c(c(0)), c(c(a(0, 0)))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(0, 0)), a(c(a(0, 0)), _x131)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x81)), _x82), 0))), a(a(c(c(_x91)), a(a(c(c(_x131)), _x132), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x82, 0)))), _x81), a(a(c(a(_x132, 0)), _x131), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(c(_x91)), 0))), a(a(c(c(_x91)), _x92), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(_x91), a(c(c(c(a(_x92, 0)))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(c(c(_x111)))), a(a(c(c(_x101)), _x102), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x111))), a(c(a(_x102, 0)), _x101)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(a(0, 0))))), a(a(c(c(_x111)), _x112), 0)), 0))), a(a(c(c(c(a(a(a(c(c(_x111)), _x112), 0), 0)))), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(a(c(a(0, 0)), _x141), a(c(c(c(a(_x112, 0)))), _x111))), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x71))), 0))) → c#(c(a(a(c(c(c(a(0, 0)))), _x71), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(c(c(c(a(0, 0))))))), 0))), a(a(c(c(a(c(c(c(a(0, 0)))), _x121))), a(a(c(c(0)), c(c(0))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(c(c(a(0, 0)))), _x121), _x101), a(c(a(0, 0)), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(_x81, 0)))), 0))) → c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), c(_x81)), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x131))), c(c(_x121))), 0))), a(a(c(c(0)), a(a(c(c(0)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(c(c(a(0, 0)))), _x121), _x101), a(c(a(0, 0)), _x131)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), a(c(a(c(c(_x111)), _x112)), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(c(a(c(c(c(a(_x112, 0)))), _x111)), _x81)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(a(c(c(_x122)), _x132), 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(c(a(c(c(c(a(_x122, 0)))), c(a(_x132, 0)))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x72)), a(c(_x101), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(a(_x72, 0)))), _x101), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(_x121, 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(_x121), a(c(_x141), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), a(a(c(c(_x101)), c(c(_x141))), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x141))), _x101), _x81)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(_x121, 0))), a(c(_x91), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(_x121))), _x91), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(a(c(c(_x111)), _x112), 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(a(c(c(c(a(_x112, 0)))), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(c(c(_x111)))), a(c(c(c(_x71))), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(0, 0)), _x111), _x71), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), c(c(_x151))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(a(_x102, 0)))), _x101))), a(a(c(c(a(c(c(c(a(0, 0)))), _x151))), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(a(0, 0))))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(0)), c(c(0))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(a(c(a(0, 0)), _x141), c(a(_x102, 0)))), a(c(a(0, 0)), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x81)), _x82), 0))), a(a(c(c(_x91)), a(a(c(c(a(_x82, 0))), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(_x82, 0)), _x81), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(c(c(_x111)))), a(a(c(c(_x101)), _x102), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(a(0, 0)), _x111))), a(c(c(c(a(_x102, 0)))), _x101)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x112)))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(c(a(0, 0)))), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(a(c(c(c(a(_x112, 0)))), c(a(0, 0)))), c(a(_x102, 0)))), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(c(a(_x132, 0))))), 0))), a(a(c(c(a(c(c(c(a(0, 0)))), c(a(_x132, 0))))), a(a(c(c(c(c(_x171)))), _x132), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(c(c(a(0, 0)))), _x121), _x101), a(c(a(c(c(a(c(c(c(a(0, 0)))), _x171))), c(a(_x132, 0)))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(_x141))), 0))), a(a(c(c(_x91)), a(_x121, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(a(c(c(c(a(0, 0)))), _x141))), _x101))), a(c(_x121), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(_x91, 0))), a(a(c(c(_x91)), _x92), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(_x91), a(c(c(c(a(_x92, 0)))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(c(c(_x111)))), a(a(c(c(_x101)), _x102), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(0, 0)))), _x111), a(c(c(c(a(_x102, 0)))), _x101)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(a(c(c(_x71)), a(_x121, 0)), 0)))), 0))) → c#(c(a(a(c(a(c(a(0, 0)), 0)), a(c(c(c(_x121))), _x71)), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(c(c(c(a(0, 0))))))), 0))), a(a(c(c(a(c(c(c(a(0, 0)))), _x121))), a(a(c(c(0)), c(c(0))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(a(0, 0)), _x121), _x101), a(c(a(0, 0)), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x81)), _x82), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), a(_x161, 0)), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x82, 0)))), _x81), a(a(c(c(c(_x161))), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(_x111), 0))), a(c(c(c(_x71))), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(_x111)), _x71), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(a(c(a(0, 0)), 0))), a(a(c(c(_x111)), a(_x161, 0)), 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(a(c(c(c(_x161))), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(c(c(c(_x71))), 0)))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), _x71), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(c(c(_x91))))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), a(c(c(c(a(0, 0)))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(a(c(c(_x131)), c(c(_x171))), 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(c(c(a(c(c(a(c(c(c(a(0, 0)))), _x171))), _x131))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(a(c(c(0)), c(c(0))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(a(_x102, 0)), _x101))), a(c(a(0, 0)), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x81)), _x82), 0))), a(a(c(c(_x91)), a(a(c(c(_x131)), _x132), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(_x82, 0)), _x81), a(a(c(c(c(a(_x132, 0)))), _x131), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x81)), _x82), 0))), a(a(c(c(_x91)), a(a(c(c(_x131)), c(c(_x171))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x82, 0)))), _x81), a(c(c(a(c(c(a(c(c(c(a(0, 0)))), _x171))), _x131))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(_x71))), 0))) → c#(c(a(a(c(a(0, 0)), _x71), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(a(0, 0))))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(0)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(c(a(_x102, 0)), 0)))), a(c(a(0, 0)), _x141)), a(c(c(c(a(0, 0)))), _x131)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(a(c(a(0, 0)), 0))), a(a(c(c(0)), a(a(c(c(_x91)), _x92), 0)), 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(c(c(c(a(_x92, 0)))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), a(_x151, 0)), 0))), a(a(c(c(_x91)), a(a(c(c(0)), c(c(0))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(_x151))), _x101))), a(c(a(0, 0)), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), a(a(c(c(c(c(_x151)))), a(_x161, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(c(a(c(c(a(c(c(c(a(0, 0)))), _x151))), c(_x161))), _x81)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(_x121))), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(a(c(a(0, 0)), _x121))), _x101), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), a(_x151, 0)), 0))), a(a(c(c(_x91)), a(_x121, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(_x151))), _x101))), a(c(_x121), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), a(_x151, 0)), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(_x151))), _x101), a(c(_x141), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(a(c(c(0)), c(c(0))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(a(_x102, 0)), _x101))), a(c(c(c(a(0, 0)))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(_x21, 0))) → c#(_x21)c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x81)), c(c(_x121))), 0))), a(a(c(c(_x91)), a(a(c(c(_x131)), _x132), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(a(c(c(c(a(0, 0)))), _x121))), _x81), a(a(c(c(c(a(_x132, 0)))), _x131), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(_x121))), 0))), a(a(c(c(_x91)), a(a(c(c(_x131)), _x132), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(a(c(c(c(a(0, 0)))), _x121))), _x101), a(c(c(a(c(c(c(a(_x132, 0)))), _x131))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(_x121, 0))), a(a(c(c(_x91)), a(a(c(c(_x131)), _x132), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(_x121))), a(c(c(a(c(c(c(a(_x132, 0)))), _x131))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(a(0, 0)))), c(c(c(c(c(a(0, 0))))))), 0))), a(a(c(c(a(c(c(c(a(0, 0)))), _x121))), a(a(c(c(0)), c(c(0))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(a(0, 0)), _x121), _x101), a(c(a(0, 0)), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), a(_x131, 0)), 0))), a(a(c(c(_x91)), a(_x121, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(_x131))), _x101), a(c(_x121), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(c(a(_x132, 0))))), 0))), a(a(c(c(a(c(c(c(a(0, 0)))), c(a(_x132, 0))))), a(a(c(c(a(_x181, 0))), _x132), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(c(c(a(0, 0)))), _x121), _x101), a(c(a(c(c(c(_x181))), c(a(_x132, 0)))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(_x121))), 0))), a(a(c(c(_x91)), a(_x121, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(a(c(c(c(a(0, 0)))), _x121))), _x101), a(c(_x121), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(c(a(a(_x171, 0), 0))))), 0))), a(a(c(c(a(c(c(c(a(0, 0)))), c(a(a(_x171, 0), 0))))), a(a(c(c(_x122)), a(_x171, 0)), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(c(c(a(0, 0)))), _x121), _x101), a(c(a(c(a(_x122, 0)), c(_x171))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(_x131, 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(a(_x102, 0)), _x101))), c(_x131)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x131))), c(c(_x121))), 0))), a(a(c(c(0)), a(a(c(c(0)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(a(c(c(c(a(0, 0)))), _x121))), _x101), a(c(a(0, 0)), _x131)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(_x111)), c(c(c(a(0, 0))))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(a(0, 0)), _x141))), c(a(_x102, 0)))), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(c(c(c(a(0, 0)))))), a(a(c(c(_x101)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(a(0, 0)), _x111))), a(c(c(c(_x141))), _x101)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(c(a(0, 0))))), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(a(c(a(0, 0)), _x121))), _x101), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x72)), a(a(c(c(a(_x72, 0))), _x102), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(_x72, 0)), a(c(c(c(a(_x102, 0)))), _x101)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x131))), _x102), 0))), a(a(c(c(0)), a(a(c(c(0)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x102, 0)))), _x101), a(c(c(c(a(0, 0)))), _x131)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(_x81, 0)))), 0))) → c#(c(a(c(a(c(_x81), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(_x81), 0))), a(_x131, 0))), 0)))), 0))) → c#(c(a(c(a(a(_x81, c(_x131)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), c(c(_x122))), 0)))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), a(c(a(c(c(c(a(_x122, 0)))), c(a(0, 0)))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(0)), a(c(c(c(a(_x91, 0)))), 0))), 0)))), 0))) → c#(c(a(c(a(c(_x91), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(_x121))), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(a(c(c(c(a(0, 0)))), _x121))), _x101), a(c(_x141), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(a(c(a(0, 0)), 0))), c(c(_x131))), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(c(c(a(c(c(c(a(0, 0)))), _x131))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(a(c(a(0, 0)), 0))), a(a(c(c(0)), c(c(a(_x151, 0)))), 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), c(a(c(c(c(_x151))), c(a(0, 0))))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x81)), c(c(_x121))), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(a(c(c(c(a(0, 0)))), _x121))), _x81), a(a(c(c(c(a(_x112, 0)))), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), a(_x161, 0)), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(a(_x102, 0)))), _x101))), a(a(c(c(c(_x161))), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(c(a(0, 0))))))), 0))) → c#(c(a(c(a(c(c(a(c(a(0, 0)), _x101))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(a(c(c(_x111)), _x112), 0)), 0)))))), 0))) → c#(c(a(c(a(c(a(a(a(c(c(c(a(_x112, 0)))), _x111), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x92)), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(0)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(c(a(_x92, 0)))), c(a(_x102, 0)))), c(a(_x112, 0))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(c(_x111), 0)), 0)))))), 0))) → c#(c(a(c(a(c(a(a(_x111, _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), a(_x121, 0)), 0))), a(a(c(c(c(a(a(_x121, 0), 0)))), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(c(_x121), 0)))), a(c(c(c(a(0, 0)))), _x141)), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(c(a(c(c(_x21)), _x22)), 0))) → c#(a(c(c(c(a(_x22, 0)))), _x21))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(_x111, 0)))), 0))) → c#(c(a(c(a(c(_x111), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(c(c(c(a(0, 0))))))), 0))), a(a(c(c(_x91)), a(a(c(c(0)), c(c(a(0, 0)))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(a(c(a(0, 0)), _x121))), _x101), a(c(c(c(a(0, 0)))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(c(a(a(_x171, 0), 0))))), 0))), a(a(c(c(a(c(c(c(a(0, 0)))), c(a(a(_x171, 0), 0))))), a(a(c(c(a(_x171, 0))), a(_x171, 0)), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(c(c(a(0, 0)))), _x121), _x101), a(c(a(c(c(c(_x171))), c(_x171))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(_x121))), 0))), a(a(c(c(a(c(c(c(a(0, 0)))), _x121))), a(a(c(c(_x131)), _x132), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(c(c(a(0, 0)))), _x121), _x101), a(a(c(c(c(a(_x132, 0)))), _x131), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(_x121, 0))), a(a(c(c(_x91)), a(c(a(c(c(_x121)), _x122)), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(_x121))), a(c(a(c(c(c(a(_x122, 0)))), _x121)), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(a(0, 0))))), c(c(_x111))), 0))), a(a(c(c(c(a(c(c(_x111)), 0)))), a(a(c(c(0)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(a(0, 0)), _x141))), a(c(c(c(a(0, 0)))), _x111))), a(c(c(c(a(0, 0)))), _x131)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(a(0, 0))))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(0)), c(c(0))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(a(c(a(0, 0)), _x141), c(a(_x102, 0)))), a(c(c(c(a(0, 0)))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(c(a(0, 0))))), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(a(c(a(0, 0)), _x121))), _x101), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(0)), c(c(0))), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), c(a(0, 0))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(_x91, 0))), a(_x131, 0))), 0)))), 0))) → c#(c(a(c(a(a(c(_x91), c(_x131)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(c(_x111), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x102, 0)))), _x101), a(_x111, _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x131))), a(_x131, 0)), 0))), a(a(c(c(0)), a(a(c(c(0)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(_x131), _x101))), a(c(a(0, 0)), _x131)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), a(_x111, 0)), 0))), a(a(c(c(_x91)), a(a(c(c(a(a(_x111, 0), 0))), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(_x111), _x101), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(0)), c(c(c(a(_x132, 0))))), 0))), a(a(c(c(a(c(c(c(a(0, 0)))), c(a(_x132, 0))))), a(a(c(c(_x122)), _x132), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(a(0, 0)))), a(c(a(c(c(c(a(_x122, 0)))), c(a(_x132, 0)))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x111)), a(_x121, 0)), 0))), a(c(c(c(_x71))), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(_x121), _x111), _x71), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(a(c(c(_x71)), c(c(_x102))), 0)))), 0))) → c#(c(a(a(c(a(c(a(0, 0)), 0)), a(c(a(c(c(c(a(_x102, 0)))), c(a(0, 0)))), _x71)), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(c(_x91)), 0))), a(a(c(c(_x91)), _x92), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(_x91), a(c(a(_x92, 0)), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(c(a(_x132, 0))))), 0))), a(a(c(c(a(c(c(c(a(0, 0)))), c(a(_x132, 0))))), a(a(c(c(_x122)), _x132), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(c(c(a(0, 0)))), _x121), _x101), a(c(a(c(a(_x122, 0)), c(a(_x132, 0)))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x72)), a(a(c(c(_x101)), c(c(_x141))), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(a(_x72, 0)))), a(c(c(a(c(c(c(a(0, 0)))), _x141))), _x101)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), c(c(_x121)))), 0)))), 0))) → c#(c(a(c(a(c(a(c(c(a(c(c(c(a(0, 0)))), _x121))), _x81)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(a(c(a(0, 0)), 0))), a(a(c(c(0)), c(c(_x102))), 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), c(a(c(a(_x102, 0)), c(a(0, 0))))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(c(_x131), 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(c(c(_x131)), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), a(_x151, 0)), 0))), a(a(c(c(_x91)), a(a(c(c(0)), c(c(0))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(_x151))), _x101))), a(c(c(c(a(0, 0)))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(a(0, 0))))), a(_x121, 0)), 0))), a(a(c(c(c(a(a(_x121, 0), 0)))), a(a(c(c(0)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(a(c(a(0, 0)), _x141), c(_x121))), a(c(c(c(a(0, 0)))), _x131)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(a(_x102, 0)), _x101))), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), _x92), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(c(c(c(a(_x92, 0)))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x111)), _x112), 0))), a(c(c(c(_x71))), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(a(_x112, 0)), _x111))), _x71), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(0)), c(c(0))), 0))), a(c(c(c(_x71))), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(a(0, 0)))), _x71), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x111)), c(c(_x131))), 0))), a(c(c(c(_x71))), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(a(c(a(0, 0)), _x131))), _x111), _x71), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(_x141))), 0))), a(a(c(c(_x91)), a(a(c(c(0)), c(c(0))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(a(c(c(c(a(0, 0)))), _x141))), _x101))), a(c(a(0, 0)), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(c(_x131), 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), a(c(c(_x131)), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(c(a(a(_x171, 0), 0))))), 0))), a(a(c(c(a(c(c(c(a(0, 0)))), c(a(a(_x171, 0), 0))))), a(a(c(c(c(c(_x161)))), a(_x171, 0)), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(c(c(a(0, 0)))), _x121), _x101), a(c(a(c(c(a(c(c(c(a(0, 0)))), _x161))), c(_x171))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(_x141, 0)), 0)))))), 0))) → c#(c(a(c(a(c(a(a(c(c(c(_x141))), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(c(_x91)), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(_x91), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x72)), a(a(c(c(_x101)), a(_x151, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(_x72, 0)), a(c(c(c(_x151))), _x101)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), a(_x141, 0)), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(a(_x102, 0)))), _x101))), a(a(c(_x141), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(_x101), 0))), a(a(c(c(_x91)), a(c(_x131), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(_x101)), a(c(c(_x131)), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(_x121))), 0))), a(a(c(c(a(c(c(c(a(0, 0)))), _x121))), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(c(c(a(0, 0)))), _x121), _x101), a(c(_x141), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x131))), a(_x151, 0)), 0))), a(a(c(c(0)), a(a(c(c(0)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(_x151))), _x101))), a(c(a(0, 0)), _x131)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(a(0, 0))))), a(c(_x111), 0)), 0))), a(a(c(c(c(a(a(c(_x111), 0), 0)))), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(a(c(a(0, 0)), _x141), _x111)), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), a(_x151, 0)), 0))), a(a(c(c(_x91)), a(c(_x111), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(_x151))), _x101))), a(_x111, _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(a(c(a(0, 0)), 0))), c(c(_x111))), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(a(c(a(0, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), a(_x151, 0)), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(_x151))), _x101))), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), a(a(c(c(_x112)), a(_x161, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(c(a(c(a(_x112, 0)), c(_x161))), _x81)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(0)), c(c(c(a(0, 0))))), 0))), a(c(c(c(0))), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(0, 0)), _x131), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(0)), a(_x101, 0)), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(c(c(a(0, 0)))), _x141))), c(a(_x102, 0)))), c(_x101)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), a(_x151, 0)), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(_x151))), _x101), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x111)), a(_x161, 0)), 0))), a(c(c(c(_x71))), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(_x161))), _x111))), _x71), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), a(_x121, 0)), 0))), a(a(c(c(c(a(a(_x121, 0), 0)))), a(a(c(c(0)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(c(c(a(0, 0)))), _x141))), c(_x121))), c(a(_x112, 0))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(_x121, 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(c(_x121), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(a(0, 0)))), c(c(c(c(_x121))))), 0))), a(c(c(c(0))), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(c(c(a(c(c(c(a(0, 0)))), _x121))), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), x)) → c#(a(x, 0))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x81)), _x82), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x82, 0)))), _x81), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(_x121, 0))), a(a(c(c(_x101)), _x102), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(_x121))), a(c(c(c(a(_x102, 0)))), _x101)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(0)), c(c(_x82))), 0))), a(c(c(c(0))), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(c(c(c(a(_x82, 0)))), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(_x121))), 0))), a(a(c(c(a(c(c(c(a(0, 0)))), _x121))), a(a(c(c(_x131)), c(c(_x171))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(c(c(a(0, 0)))), _x121), _x101), a(c(c(a(c(c(a(c(c(c(a(0, 0)))), _x171))), _x131))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), a(a(c(c(_x141)), _x142), 0)), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(a(c(c(c(a(_x142, 0)))), _x141))), _x101))), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(c(a(c(c(_x161)), 0))))), 0))), a(a(c(c(a(c(c(c(a(0, 0)))), c(a(c(c(_x161)), 0))))), a(a(c(c(_x122)), c(c(_x161))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(c(c(a(0, 0)))), _x121), _x101), a(c(a(c(c(c(a(_x122, 0)))), a(c(c(c(a(0, 0)))), _x161))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), a(a(c(c(_x112)), _x122), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(c(a(c(a(_x112, 0)), c(a(_x122, 0)))), _x81)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(_x81), 0))), a(a(c(c(_x91)), _x92), 0))), 0)))), 0))) → c#(c(a(c(a(a(_x81, a(c(c(c(a(_x92, 0)))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), c(c(_x111))), 0))), a(a(c(c(c(a(c(c(_x111)), 0)))), a(a(c(c(_x111)), 0), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(a(c(a(0, 0)), _x141), a(c(c(c(a(0, 0)))), _x111))), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x131))), _x102), 0))), a(a(c(c(0)), a(a(c(c(a(_x102, 0))), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(_x102, 0)), _x101), a(c(c(c(a(0, 0)))), _x131)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(c(_x111), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(a(_x102, 0)))), _x101))), a(_x111, _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(c(c(c(a(0, 0)))))), a(a(c(c(_x101)), _x102), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(0, 0)), _x111), a(c(c(c(a(_x102, 0)))), _x101)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(c(c(_x111)))), a(a(c(c(_x101)), c(c(_x131))), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x111))), a(c(c(a(c(c(c(a(0, 0)))), _x131))), _x101)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x92)), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(0)), c(c(0))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(c(a(_x92, 0)))), c(a(_x102, 0)))), a(c(c(c(a(0, 0)))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(_x131, 0)))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), c(_x131)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(a(c(c(_x131)), _x132), 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(a(c(c(c(a(_x132, 0)))), _x131), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(a(_x112, 0)))), _x102), 0))), a(a(c(c(0)), a(a(c(c(0)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(a(_x102, 0)))), _x101))), c(a(_x112, 0))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), a(a(c(c(a(_x171, 0))), _x122), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(c(a(c(c(c(_x171))), c(a(_x122, 0)))), _x81)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(a(_x151, 0))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(c(_x151))), c(a(_x102, 0)))), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), a(c(_x101), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(_x101, _x81)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(a(_x102, 0)), _x101))), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(a(0, 0)))), c(c(c(c(c(a(0, 0))))))), 0))), a(a(c(c(a(c(c(c(a(0, 0)))), a(0, 0)))), a(a(c(c(0)), c(c(0))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(a(0, 0)), _x121), _x101), a(c(a(0, 0)), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(c(c(c(a(0, 0))))))), 0))), a(a(c(c(a(c(c(c(a(0, 0)))), a(0, 0)))), a(a(c(c(0)), c(c(0))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(c(c(a(0, 0)))), _x121), _x101), a(c(a(0, 0)), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), a(a(c(c(_x112)), a(_x161, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(a(c(c(c(a(c(_x161), 0)))), c(a(_x112, 0))), _x81)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(a(c(a(0, 0)), 0))), a(c(_x111), 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(_x111, _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), c(c(_x101)))), 0)))), 0))) → c#(c(a(c(a(c(a(a(c(a(0, 0)), _x101), _x81)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(a(0, 0)))), c(c(a(_x161, 0)))), 0))), a(c(c(c(_x71))), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(c(c(c(_x161))), c(a(0, 0)))), _x111), _x71), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), c(c(a(_x102, 0)))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(a(_x102, 0)), _x101))), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(a(0, 0)))), c(c(c(c(c(a(0, 0))))))), 0))), a(a(c(c(_x91)), a(a(c(c(0)), c(c(0))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(_x111, c(a(0, 0)))), _x101), a(c(c(c(a(0, 0)))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(0)), c(c(0))), 0))), a(a(c(c(a(c(a(0, 0)), 0))), a(a(c(c(_x111)), c(c(a(0, 0)))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(0, 0)), a(a(a(c(a(0, 0)), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(0)), _x112), 0))), a(c(c(c(0))), 0))), 0)))), 0))) → c#(c(a(c(a(c(c(c(a(_x112, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x72)), a(c(_x71), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(a(_x72, 0)))), _x71), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(c(a(a(a(c(c(_x151)), _x152), 0), 0))))), 0))), a(a(c(c(a(c(c(c(a(0, 0)))), c(a(a(a(c(c(_x151)), _x152), 0), 0))))), a(a(c(c(_x122)), a(a(c(c(_x151)), _x152), 0)), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(c(c(a(0, 0)))), _x121), _x101), a(c(a(c(c(c(a(_x122, 0)))), a(c(c(c(a(_x152, 0)))), _x151))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(_x121))), 0))), a(a(c(c(a(c(c(c(a(0, 0)))), _x121))), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(a(0, 0)), _x121), _x101), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(c(c(c(a(0, 0)))))), a(a(c(c(_x101)), a(_x121, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(a(0, 0)), _x111))), a(c(_x121), _x101)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(a(0, 0))))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(0)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(a(0, 0)), _x141))), c(a(_x102, 0)))), c(a(_x112, 0))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(a(c(a(0, 0)), 0))), a(a(c(c(0)), c(c(_x121))), 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), c(c(a(c(a(0, 0)), _x121)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), a(_x121, 0)), 0))), a(a(c(c(c(a(a(_x121, 0), 0)))), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(c(c(a(0, 0)))), _x141))), c(_x121))), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), a(c(c(a(c(c(_x101)), _x102))), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(a(c(a(_x102, 0)), _x101), _x81)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x72)), a(c(c(c(_x71))), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(_x72, 0)), _x71), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(a(c(a(0, 0)), 0))), a(_x141, 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(c(_x141), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x22)), c(c(_x71))), 0))) → c#(a(c(c(c(a(_x22, 0)))), a(c(a(0, 0)), _x71)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(0)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(c(c(a(0, 0)))), _x141))), c(a(_x102, 0)))), a(c(c(c(a(0, 0)))), _x131)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(0)), c(c(0))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(c(c(a(0, 0)))), _x141))), c(a(_x102, 0)))), a(c(c(c(a(0, 0)))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(_x91, 0)))), 0))) → c#(c(a(c(a(c(_x91), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(_x141, 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(c(_x141), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), c(c(_x131))), 0)))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), a(a(c(c(c(a(0, 0)))), _x131), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(c(c(_x111)))), a(a(c(c(_x101)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x111))), a(c(c(c(_x141))), _x101)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(a(0, 0)))), c(c(_x112))), 0))), a(c(c(c(_x71))), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(c(a(_x112, 0)), c(a(0, 0)))), _x111), _x71), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x92)), _x102), 0))), a(_x131, 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(c(a(_x92, 0)))), c(a(_x102, 0)))), c(_x131)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(_x141))), 0))), a(a(c(c(_x91)), a(a(c(c(0)), c(c(0))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(a(c(c(c(a(0, 0)))), _x141))), _x101))), a(c(c(c(a(0, 0)))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(_x131, 0)))))), 0))) → c#(c(a(c(a(c(a(c(_x131), c(a(0, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(a(c(c(_x131)), a(_x181, 0)), 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(c(c(a(c(c(c(_x181))), _x131))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(_x91))), 0))), a(a(c(c(_x91)), a(c(_x131), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(c(c(a(0, 0)))), _x91), _x101), a(c(c(_x131)), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(a(c(c(0)), c(c(0))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x102, 0)))), _x101), a(c(c(c(a(0, 0)))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(c(_x91), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), _x91), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x112)))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(c(a(0, 0)))), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(a(c(c(c(a(_x112, 0)))), c(a(0, 0)))), c(a(_x102, 0)))), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(c(_x71), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), _x71), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), c(c(_x131))), 0)))))), 0))) → c#(c(a(c(a(c(a(a(c(c(a(c(a(0, 0)), _x131))), _x91), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), a(_x81, 0)), 0))) → c#(c(a(c(c(c(_x81))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x81)), a(a(c(c(_x112)), a(c(_x141), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(c(a(c(c(c(a(_x112, 0)))), _x141)), _x81)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(a(0, 0)), _x141))), c(a(_x102, 0)))), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(_x121, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(_x102, 0)), _x101), a(c(_x121), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(0)), c(c(0)))), 0)))), 0))) → c#(c(a(c(a(c(c(c(c(a(0, 0))))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(a(0, 0)))), c(c(c(c(c(a(0, 0))))))), 0))), a(a(c(c(_x91)), a(a(c(c(0)), c(c(0))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(c(_x151), c(a(0, 0)))), _x101), a(c(c(c(a(0, 0)))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(a(0, 0))))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(0)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(a(c(a(0, 0)), _x141), c(a(_x102, 0)))), a(c(c(c(a(0, 0)))), _x131)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(a(0, 0))))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(c(a(_x102, 0)), 0)))), a(c(a(0, 0)), _x141)), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x72)), a(a(c(c(_x101)), a(_x151, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(a(_x72, 0)))), a(c(c(c(_x151))), _x101)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x92)), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(c(a(_x102, 0)), 0)))), c(a(_x92, 0))), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(_x81), 0))), a(a(c(c(_x91)), c(c(_x111))), 0))), 0)))), 0))) → c#(c(a(c(a(a(_x81, a(a(c(c(c(a(0, 0)))), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(0)), c(c(0))), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), c(c(c(a(0, 0))))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(a(c(a(0, 0)), 0))), a(a(c(c(0)), c(c(c(a(0, 0))))), 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(c(a(0, 0)), _x121)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), a(_x151, 0)), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(_x151))), _x101))), a(a(c(c(c(a(_x112, 0)))), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(0)), c(c(0))), 0))), a(a(c(c(a(c(c(c(a(0, 0)))), 0))), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(a(0, 0)))), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(c(_x131), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(_x102, 0)), _x101), a(c(c(_x131)), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), a(_x121, 0)), 0))), a(a(c(c(c(a(a(_x121, 0), 0)))), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(a(0, 0)), _x141))), c(_x121))), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(a(0, 0)))), c(c(a(_x131, 0)))), 0))), a(c(c(c(0))), 0))), 0)))), 0))) → c#(c(a(c(a(c(a(c(c(c(_x131))), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(0)), a(c(c(a(c(c(0)), _x102))), 0))), 0)))), 0))) → c#(c(a(c(a(c(c(c(c(a(_x102, 0))))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(0)), c(c(c(c(c(a(0, 0))))))), 0))), a(a(c(c(a(c(a(0, 0)), c(c(c(a(0, 0))))))), a(a(c(c(0)), c(c(a(0, 0)))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(0, 0)), a(c(c(c(a(0, 0)))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), a(_x121, 0)), 0))), a(a(c(c(c(a(a(_x121, 0), 0)))), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(a(c(c(c(a(0, 0)))), _x141), c(_x121))), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(a(0, 0)))), c(c(c(c(c(a(0, 0))))))), 0))), a(a(c(c(_x91)), a(a(c(c(0)), c(c(0))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(c(c(_x131)), c(a(0, 0)))), _x101), a(c(c(c(a(0, 0)))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(c(c(c(a(0, 0)))))), a(a(c(c(_x101)), c(c(_x131))), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(a(0, 0)), _x111))), a(c(c(a(c(c(c(a(0, 0)))), _x131))), _x101)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(c(a(_x112, 0)))))), _x102), 0))), a(a(c(c(0)), a(a(c(c(0)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(a(_x102, 0)))), _x101))), c(c(c(a(_x112, 0))))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(_x131, 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x102, 0)))), _x101), c(_x131)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(a(_x102, 0)), _x101))), a(a(c(c(c(a(_x112, 0)))), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x81)), _x82), 0))), a(a(c(c(0)), a(a(c(c(0)), _x132), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x82, 0)))), _x81), c(c(c(a(_x132, 0))))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), c(c(_x111))), 0))), a(a(c(c(c(a(c(c(_x111)), 0)))), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(c(c(a(0, 0)))), _x141))), a(c(c(c(a(0, 0)))), _x111))), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(a(0, 0))))), a(c(_x111), 0)), 0))), a(a(c(c(c(a(a(c(_x111), 0), 0)))), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(a(0, 0)), _x141))), _x111)), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(_x121, 0))), a(a(c(c(_x91)), _x92), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(_x121), a(c(c(c(a(_x92, 0)))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x92)), c(c(_x131))), 0))), a(a(c(c(c(a(c(c(_x131)), 0)))), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(c(a(_x92, 0)))), a(c(c(c(a(0, 0)))), _x131))), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(a(0, 0)))), c(c(c(a(_x132, 0))))), 0))), a(a(c(c(a(c(c(c(a(0, 0)))), c(a(_x132, 0))))), a(a(c(c(_x122)), _x132), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(a(0, 0)), _x121), _x101), a(c(a(c(c(c(a(_x122, 0)))), c(a(_x132, 0)))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x81)), _x82), 0))), a(a(c(c(0)), a(a(c(c(a(_x82, 0))), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(_x82, 0)), _x81), c(c(c(a(_x112, 0))))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(a(c(a(0, 0)), 0))), a(a(c(c(_x131)), _x132), 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(c(c(a(c(c(c(a(_x132, 0)))), _x131))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), a(_x121, 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), a(c(_x121), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x81)), _x82), 0))), a(a(c(c(_x91)), a(a(c(c(_x131)), _x132), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(_x82, 0)), _x81), a(c(c(a(c(c(c(a(_x132, 0)))), _x131))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x72)), _x82)), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(a(_x72, 0)))), c(a(_x82, 0))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(c(_x91), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(a(_x102, 0)))), _x101))), _x91), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x102, 0)))), _x101), a(a(c(c(c(a(_x112, 0)))), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(c(c(_x102)))), a(c(c(c(_x71))), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(c(a(_x102, 0)))), c(a(0, 0)))), _x71), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(a(0, 0)))), c(c(_x121))), 0))), a(a(c(c(a(c(c(c(a(0, 0)))), _x121))), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(a(0, 0)), _x121), _x101), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(a(0, 0))))), a(_x121, 0)), 0))), a(a(c(c(c(a(a(_x121, 0), 0)))), a(a(c(c(0)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(a(0, 0)), _x141))), c(_x121))), a(c(c(c(a(0, 0)))), _x131)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(a(c(c(_x71)), c(c(_x91))), 0)))), 0))) → c#(c(a(a(c(a(c(a(0, 0)), 0)), a(a(c(c(c(a(0, 0)))), _x91), _x71)), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x82))))), 0))) → c#(c(a(c(a(c(a(c(a(_x82, 0)), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), a(c(_x141), 0)), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(_x141)), _x101))), a(c(_x141), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(c(c(_x121))))))), 0))) → c#(c(a(c(a(c(a(c(c(a(c(c(c(a(0, 0)))), _x121))), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x81)), _x82), 0))), a(a(c(c(0)), a(a(c(c(0)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x82, 0)))), _x81), c(c(c(a(_x112, 0))))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(0)), c(c(c(c(c(a(0, 0))))))), 0))), a(a(c(c(a(c(a(0, 0)), c(c(c(a(0, 0))))))), a(a(c(c(0)), c(c(a(0, 0)))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(0, 0)), a(c(a(0, 0)), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x91)), _x92), 0))), a(c(c(c(_x71))), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x92, 0)))), _x91), _x71), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(c(a(_x102, 0)), 0)))), a(c(c(c(a(0, 0)))), _x141)), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(c(a(c(c(_x121)), _x122)), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(_x102, 0)), _x101), a(c(a(c(c(c(a(_x122, 0)))), _x121)), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(a(0, 0)))), c(c(c(c(c(a(0, 0))))))), 0))), a(a(c(c(_x91)), a(a(c(c(0)), c(c(0))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(c(c(a(c(c(c(a(_x132, 0)))), _x131))), c(a(0, 0)))), _x101), a(c(c(c(a(0, 0)))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(a(c(c(a(_x102, 0))), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(_x102, 0)), _x101), a(a(a(c(a(0, 0)), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(0)), c(c(_x71))), 0))), a(c(c(c(0))), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(a(0, 0)))), _x71), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), a(a(c(c(_x111)), _x112), 0)), 0))), a(a(c(c(c(a(a(a(c(c(_x111)), _x112), 0), 0)))), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(a(0, 0)), _x141))), a(c(c(c(a(_x112, 0)))), _x111))), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(c(c(c(a(a(_x121, 0), 0)))))), a(a(c(c(_x101)), a(_x121, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x111))), a(c(_x121), _x101)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(a(0, 0)))), c(c(c(c(c(a(0, 0))))))), 0))), a(a(c(c(_x91)), a(a(c(c(0)), c(c(0))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(c(c(c(_x151))), c(a(0, 0)))), _x101), a(c(a(0, 0)), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(a(c(a(0, 0)), 0))), a(a(c(c(_x111)), _x112), 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(_x72)), a(_x131, 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(_x72, 0)), c(_x131)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(0)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(a(c(c(c(a(0, 0)))), _x141), c(a(_x102, 0)))), c(a(_x112, 0))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x92)), a(_x151, 0)), 0))), a(a(c(c(c(_x151))), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(c(a(_x92, 0)))), c(_x151))), a(c(_x141), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x22)), c(c(_x71))), 0))) → c#(a(c(c(c(a(_x22, 0)))), a(c(c(c(a(0, 0)))), _x71)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(_x141))), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(a(c(c(c(a(0, 0)))), _x141))), _x101))), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x81)), _x82), 0))), a(a(c(c(_x91)), a(_x121, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x82, 0)))), _x81), a(c(_x121), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(c(c(_x92)))), a(a(c(c(_x101)), _x102), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(c(a(_x92, 0)))), c(a(0, 0)))), a(c(c(c(a(_x102, 0)))), _x101)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x131))), _x102), 0))), a(a(c(c(0)), a(a(c(c(0)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(_x102, 0)), _x101), a(c(a(0, 0)), _x131)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(c(_x91), 0)))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), _x91), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), a(_x121, 0)), 0))), a(a(c(c(c(a(a(_x121, 0), 0)))), a(a(c(c(0)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(a(0, 0)), _x141))), c(_x121))), c(a(_x112, 0))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(a(0, 0))))), a(_x121, 0)), 0))), a(a(c(c(c(a(a(_x121, 0), 0)))), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(a(0, 0)), _x141))), c(_x121))), a(a(a(c(a(0, 0)), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), a(c(_x111), 0)), 0))), a(a(c(c(c(a(a(c(_x111), 0), 0)))), a(a(c(c(_x111)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(c(c(a(0, 0)))), _x141))), _x111)), a(a(c(a(_x112, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(a(c(a(0, 0)), 0))), a(a(c(c(0)), a(_x131, 0)), 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), c(c(c(_x131)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(c(_x111), 0)))))), 0))) → c#(c(a(c(a(c(a(c(c(_x111)), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(_x102, 0)), _x101), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(a(0, 0))))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(0)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(a(0, 0)), _x141))), c(a(_x102, 0)))), a(c(a(0, 0)), _x131)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x111)), c(c(_x101))), 0))), a(c(c(c(_x71))), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(c(c(a(0, 0)))), _x101), _x111), _x71), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(_x121, 0))), a(a(c(c(_x91)), a(c(_x111), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(c(_x121))), a(_x111, _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(0)), c(c(c(c(c(a(0, 0))))))), 0))), a(a(c(c(a(c(c(c(a(0, 0)))), 0))), a(a(c(c(0)), c(c(0))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(0, 0)), a(c(a(0, 0)), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x71))))), 0))) → c#(c(a(a(c(a(c(a(0, 0)), 0)), a(c(a(0, 0)), _x71)), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(_x111)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(a(c(a(0, 0)), _x141), c(a(_x102, 0)))), a(a(a(c(c(c(a(0, 0)))), _x131), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(c(a(a(_x171, 0), 0))))), 0))), a(a(c(c(a(c(c(c(a(0, 0)))), c(a(a(_x171, 0), 0))))), a(a(c(c(_x122)), a(_x171, 0)), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(c(c(a(0, 0)))), _x121), _x101), a(a(c(c(c(a(c(_x171), 0)))), c(a(_x122, 0))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(_x101), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(_x101)), a(c(_x141), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(_x102, 0)), _x101), a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x81)), _x82), 0))), a(a(c(c(_x91)), a(a(c(c(_x111)), c(c(_x151))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x82, 0)))), _x81), a(a(c(c(a(c(c(c(a(0, 0)))), _x151))), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(0)), c(c(0))), 0)))))), 0))) → c#(c(a(c(a(c(a(c(a(0, 0)), c(a(0, 0)))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(c(_x81), 0))), a(a(c(c(_x91)), a(_x141, 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(_x81, a(c(c(c(_x141))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(a(c(c(c(a(0, 0)))), a(_x102, 0)))), _x102), 0))), a(a(c(c(0)), a(a(c(c(0)), c(c(a(_x102, 0)))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(a(_x102, 0)), _x101))), a(c(c(c(a(0, 0)))), _x131)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(a(c(c(c(a(0, 0)))), _x131))), _x102), 0))), a(a(c(c(0)), a(a(c(c(0)), c(c(_x131))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(c(a(_x92, 0)))), c(a(_x102, 0)))), a(c(c(c(a(0, 0)))), _x131)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x141)))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(0)), c(c(_x91))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(a(c(c(c(a(0, 0)))), _x141))), c(a(_x102, 0)))), a(c(c(c(a(0, 0)))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(_x91)), c(c(_x111))), 0)))))), 0))) → c#(c(a(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), a(a(c(a(0, 0)), _x111), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(c(_x111), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(a(_x102, 0)), _x101), a(_x111, _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), a(_x151, 0)), 0))), a(a(c(c(_x91)), a(c(_x131), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(c(a(c(c(c(_x151))), _x101))), a(c(c(_x131)), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), _x102), 0))), a(a(c(c(_x91)), a(c(a(c(c(_x121)), _x122)), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x102, 0)))), _x101), a(c(a(c(c(c(a(_x122, 0)))), _x121)), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(c(c(c(a(_x102, 0)))))), a(a(c(c(_x101)), _x102), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(c(c(a(_x92, 0)))), c(a(0, 0)))), a(c(a(_x102, 0)), _x101)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(a(c(a(0, 0)), _x131))), c(c(_x121))), 0))), a(a(c(c(a(c(a(0, 0)), _x121))), a(a(c(c(0)), c(c(a(0, 0)))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(a(0, 0)), _x121), _x101), a(c(a(0, 0)), _x131)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(_x101))))), 0))) → c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), a(c(a(0, 0)), _x101)), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(c(_x112)))), _x102), 0))), a(a(c(c(c(a(_x102, 0)))), a(a(c(c(0)), _x112), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(c(a(c(c(c(a(_x112, 0)))), c(a(0, 0)))), c(a(_x102, 0)))), c(a(_x112, 0))), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(c(a(0, 0)))), c(c(c(c(c(a(0, 0))))))), 0))), a(a(c(c(a(c(c(c(a(0, 0)))), 0))), a(a(c(c(0)), c(c(0))), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(0, 0)), a(c(c(c(a(0, 0)))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x81)), _x82), 0))), a(a(c(c(_x91)), a(a(c(c(_x131)), a(_x181, 0)), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(c(c(c(a(_x82, 0)))), _x81), a(c(c(a(c(c(c(_x181))), _x131))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(c(c(a(a(c(c(a(c(a(0, 0)), 0))), a(a(c(c(0)), c(c(_x102))), 0)), 0)))))), 0))) → c#(c(a(c(a(a(c(a(c(a(0, 0)), 0)), a(c(c(c(a(c(a(0, 0)), 0)))), c(a(_x102, 0)))), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(c(c(_x51))), 0)))), 0))) → c#(c(a(a(c(c(c(a(c(a(0, 0)), 0)))), _x51), _x31)))

Rewrite Rules

a(a(y, 0), 0) → yc(c(y)) → y
c(a(c(c(y)), x)) → a(c(c(c(a(x, 0)))), y)

Original Signature

Termination of terms over the following signature is verified: 0, c, a

Strategy

The right-hand side of the rule c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(c(a(a(_x171, 0), 0))))), 0))), a(a(c(c(a(c(c(c(a(0, 0)))), c(a(a(_x171, 0), 0))))), a(a(c(c(_x122)), a(_x171, 0)), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(a(0, 0)), _x121), _x101), a(c(a(c(c(c(a(_x122, 0)))), c(_x171))), _x91)), c(a(0, 0)))), _x31))) 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
c#(c(a(c(a(a(a(a(c(a(0, 0)), _x121), _x101), a(c(a(c(a(_x122, 0)), c(_x171))), _x91)), c(a(0, 0)))), _x31))) 
c#(c(a(c(a(a(a(a(c(a(0, 0)), _x121), _x101), a(c(a(c(c(c(a(_x122, 0)))), _x151)), _x91)), c(a(0, 0)))), _x31))) 
c#(c(a(c(a(a(c(a(0, 0)), a(c(a(c(c(c(a(_x122, 0)))), c(_x171))), _x91)), c(a(0, 0)))), _x31))) 
c#(c(a(c(a(a(a(a(c(a(0, 0)), _x121), _x101), a(c(a(c(c(c(a(_x122, 0)))), a(c(c(c(a(_x152, 0)))), _x151))), _x91)), c(a(0, 0)))), _x31))) 
c#(c(a(c(a(a(a(a(c(a(0, 0)), _x121), _x101), a(a(c(c(c(a(c(_x171), 0)))), c(a(_x122, 0))), _x91)), c(a(0, 0)))), _x31))) 
c#(c(a(c(a(a(a(a(c(a(0, 0)), _x121), _x101), a(c(a(c(c(c(_x171))), c(_x171))), _x91)), c(a(0, 0)))), _x31))) 
c#(c(a(c(a(a(a(a(c(a(0, 0)), _x121), _x101), a(c(a(c(c(a(c(c(c(a(0, 0)))), _x161))), c(_x171))), _x91)), c(a(0, 0)))), _x31))) 
Thus, the rule c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(c(a(a(_x171, 0), 0))))), 0))), a(a(c(c(a(c(c(c(a(0, 0)))), c(a(a(_x171, 0), 0))))), a(a(c(c(_x122)), a(_x171, 0)), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(a(0, 0)), _x121), _x101), a(c(a(c(c(c(a(_x122, 0)))), c(_x171))), _x91)), c(a(0, 0)))), _x31))) is replaced by the following rules:
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(c(a(a(a(c(c(_x151)), _x152), 0), 0))))), 0))), a(a(c(c(a(c(c(c(a(0, 0)))), c(a(a(a(c(c(_x151)), _x152), 0), 0))))), a(a(c(c(_x122)), a(a(c(c(_x151)), _x152), 0)), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(a(0, 0)), _x121), _x101), a(c(a(c(c(c(a(_x122, 0)))), a(c(c(c(a(_x152, 0)))), _x151))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(c(a(a(_x171, 0), 0))))), 0))), a(a(c(c(a(c(c(c(a(0, 0)))), c(a(a(_x171, 0), 0))))), a(a(c(c(a(_x171, 0))), a(_x171, 0)), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(a(0, 0)), _x121), _x101), a(c(a(c(c(c(_x171))), c(_x171))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(c(a(a(_x171, 0), 0))))), 0))), a(a(c(c(a(c(c(c(a(0, 0)))), c(a(a(_x171, 0), 0))))), a(a(c(c(_x122)), a(_x171, 0)), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(a(0, 0)), _x121), _x101), a(a(c(c(c(a(c(_x171), 0)))), c(a(_x122, 0))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(c(a(a(c(_x151), 0), 0))))), 0))), a(a(c(c(a(c(c(c(a(0, 0)))), c(a(a(c(_x151), 0), 0))))), a(a(c(c(_x122)), a(c(_x151), 0)), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(a(0, 0)), _x121), _x101), a(c(a(c(c(c(a(_x122, 0)))), _x151)), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(c(a(a(_x171, 0), 0))))), 0))), a(a(c(c(a(c(c(c(a(0, 0)))), c(a(a(_x171, 0), 0))))), a(a(c(c(_x122)), a(_x171, 0)), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(a(0, 0)), _x121), _x101), a(c(a(c(a(_x122, 0)), c(_x171))), _x91)), c(a(0, 0)))), _x31)))c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(0)), c(c(c(a(a(_x171, 0), 0))))), 0))), a(a(c(c(a(c(c(c(a(0, 0)))), c(a(a(_x171, 0), 0))))), a(a(c(c(_x122)), a(_x171, 0)), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(c(a(0, 0)), a(c(a(c(c(c(a(_x122, 0)))), c(_x171))), _x91)), c(a(0, 0)))), _x31)))
c#(a(c(c(y)), a(a(c(c(_x31)), c(c(a(c(a(c(c(a(a(c(c(_x101)), c(c(c(a(a(_x171, 0), 0))))), 0))), a(a(c(c(a(c(c(c(a(0, 0)))), c(a(a(_x171, 0), 0))))), a(a(c(c(c(c(_x161)))), a(_x171, 0)), 0)), 0))), 0)))), 0))) → c#(c(a(c(a(a(a(a(c(a(0, 0)), _x121), _x101), a(c(a(c(c(a(c(c(c(a(0, 0)))), _x161))), c(_x171))), _x91)), c(a(0, 0)))), _x31)))