/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
f(g(x,y)) -> g(f(x),f(y))
f(a) -> b
f(c) -> d
f(h(x,y)) -> g(h(y,f(x)),h(x,f(y)))
g(x,x) -> h(e,x)
)

Problem 1: 

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

Problem 1: 

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

Problem 1: 

Subterm Processor:
-> Pairs:
 F(g(x,y)) -> F(x)
 F(g(x,y)) -> F(y)
 F(h(x,y)) -> F(x)
 F(h(x,y)) -> F(y)
-> Rules:
 f(g(x,y)) -> g(f(x),f(y))
 f(a) -> b
 f(c) -> d
 f(h(x,y)) -> g(h(y,f(x)),h(x,f(y)))
 g(x,x) -> h(e,x)
->Projection:
 pi(F) = 1

Problem 1: 

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

The problem is finite.