/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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YES

Problem 1: 

(VAR x y)
(RULES
f(g(x),g(y)) -> f(p(f(g(x),s(y))),g(s(p(x))))
g(s(p(x))) -> p(x)
p(0) -> g(0)
)

Problem 1: 

Dependency Pairs Processor:
-> Pairs:
 F(g(x),g(y)) -> F(g(x),s(y))
 F(g(x),g(y)) -> F(p(f(g(x),s(y))),g(s(p(x))))
 F(g(x),g(y)) -> G(s(p(x)))
 F(g(x),g(y)) -> P(f(g(x),s(y)))
 F(g(x),g(y)) -> P(x)
-> Rules:
 f(g(x),g(y)) -> f(p(f(g(x),s(y))),g(s(p(x))))
 g(s(p(x))) -> p(x)
 p(0) -> g(0)

Problem 1: 

SCC Processor:
-> Pairs:
 F(g(x),g(y)) -> F(g(x),s(y))
 F(g(x),g(y)) -> F(p(f(g(x),s(y))),g(s(p(x))))
 F(g(x),g(y)) -> G(s(p(x)))
 F(g(x),g(y)) -> P(f(g(x),s(y)))
 F(g(x),g(y)) -> P(x)
-> Rules:
 f(g(x),g(y)) -> f(p(f(g(x),s(y))),g(s(p(x))))
 g(s(p(x))) -> p(x)
 p(0) -> g(0)
->Strongly Connected Components:
 There is no strongly connected component

The problem is finite.