/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 v_NonEmpty:S x:S)
(RULES
f(f(x:S)) -> f(c(f(x:S)))
f(f(x:S)) -> f(d(f(x:S)))
g(c(0)) -> g(d(1))
g(c(1)) -> g(d(0))
g(c(x:S)) -> x:S
g(d(x:S)) -> x:S
)

Problem 1: 

Dependency Pairs Processor:
-> Pairs:
 F(f(x:S)) -> F(c(f(x:S)))
 F(f(x:S)) -> F(d(f(x:S)))
 G(c(0)) -> G(d(1))
 G(c(1)) -> G(d(0))
-> Rules:
 f(f(x:S)) -> f(c(f(x:S)))
 f(f(x:S)) -> f(d(f(x:S)))
 g(c(0)) -> g(d(1))
 g(c(1)) -> g(d(0))
 g(c(x:S)) -> x:S
 g(d(x:S)) -> x:S

Problem 1: 

SCC Processor:
-> Pairs:
 F(f(x:S)) -> F(c(f(x:S)))
 F(f(x:S)) -> F(d(f(x:S)))
 G(c(0)) -> G(d(1))
 G(c(1)) -> G(d(0))
-> Rules:
 f(f(x:S)) -> f(c(f(x:S)))
 f(f(x:S)) -> f(d(f(x:S)))
 g(c(0)) -> g(d(1))
 g(c(1)) -> g(d(0))
 g(c(x:S)) -> x:S
 g(d(x:S)) -> x:S
->Strongly Connected Components:
 There is no strongly connected component

The problem is finite.