/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


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YES

Problem 1: 

(VAR x y)
(RULES
a(b) -> c
f(a(x),y) -> g(x,y)
g(x,y) -> h(x,y)
h(b,y) -> f(y,y)
) 
(STRATEGY INNERMOST)

Problem 1: 

Dependency Pairs Processor:
-> Pairs:
 F(a(x),y) -> G(x,y)
 G(x,y) -> H(x,y)
 H(b,y) -> F(y,y)
-> Rules:
 a(b) -> c
 f(a(x),y) -> g(x,y)
 g(x,y) -> h(x,y)
 h(b,y) -> f(y,y)

Problem 1: 

SCC Processor:
-> Pairs:
 F(a(x),y) -> G(x,y)
 G(x,y) -> H(x,y)
 H(b,y) -> F(y,y)
-> Rules:
 a(b) -> c
 f(a(x),y) -> g(x,y)
 g(x,y) -> h(x,y)
 h(b,y) -> f(y,y)
->Strongly Connected Components:
->->Cycle:
->->-> Pairs:
 F(a(x),y) -> G(x,y)
 G(x,y) -> H(x,y)
 H(b,y) -> F(y,y)
->->-> Rules:
 a(b) -> c
 f(a(x),y) -> g(x,y)
 g(x,y) -> h(x,y)
 h(b,y) -> f(y,y)

Problem 1: 

Instantiation Processor:
-> Pairs:
 F(a(x),y) -> G(x,y)
 G(x,y) -> H(x,y)
 H(b,y) -> F(y,y)
-> Rules:
 a(b) -> c
 f(a(x),y) -> g(x,y)
 g(x,y) -> h(x,y)
 h(b,y) -> f(y,y)
->Instantiated Pairs:
->->Original Pair:
 F(a(x),y) -> G(x,y)
->-> Instantiated pairs:
 F(a(x),a(x)) -> G(x,a(x))

Problem 1: 

SCC Processor:
-> Pairs:
 F(a(x),a(x)) -> G(x,a(x))
 G(x,y) -> H(x,y)
 H(b,y) -> F(y,y)
-> Rules:
 a(b) -> c
 f(a(x),y) -> g(x,y)
 g(x,y) -> h(x,y)
 h(b,y) -> f(y,y)
->Strongly Connected Components:
->->Cycle:
->->-> Pairs:
 F(a(x),a(x)) -> G(x,a(x))
 G(x,y) -> H(x,y)
 H(b,y) -> F(y,y)
->->-> Rules:
 a(b) -> c
 f(a(x),y) -> g(x,y)
 g(x,y) -> h(x,y)
 h(b,y) -> f(y,y)

Problem 1: 

Instantiation Processor:
-> Pairs:
 F(a(x),a(x)) -> G(x,a(x))
 G(x,y) -> H(x,y)
 H(b,y) -> F(y,y)
-> Rules:
 a(b) -> c
 f(a(x),y) -> g(x,y)
 g(x,y) -> h(x,y)
 h(b,y) -> f(y,y)
->Instantiated Pairs:
->->Original Pair:
 G(x,y) -> H(x,y)
->-> Instantiated pairs:
 G(x,a(x)) -> H(x,a(x))

Problem 1: 

SCC Processor:
-> Pairs:
 F(a(x),a(x)) -> G(x,a(x))
 G(x,a(x)) -> H(x,a(x))
 H(b,y) -> F(y,y)
-> Rules:
 a(b) -> c
 f(a(x),y) -> g(x,y)
 g(x,y) -> h(x,y)
 h(b,y) -> f(y,y)
->Strongly Connected Components:
 There is no strongly connected component

The problem is finite.