/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 w x y)
(RULES
f(x,y,a,a,w) -> g2(x,y,y,w)
f(x,y,a,w,w) -> g2(y,y,x,w)
f(x,y,w,a,a) -> g1(y,x,x,w)
f(x,y,w,w,a) -> g1(x,x,y,w)
g1(x,x,y,a) -> h(x,y)
g1(y,x,x,a) -> h(x,y)
g2(x,y,y,a) -> h(x,y)
g2(y,y,x,a) -> h(x,y)
h(x,x) -> x
)

Problem 1: 

Dependency Pairs Processor:
-> Pairs:
 F(x,y,a,a,w) -> G2(x,y,y,w)
 F(x,y,a,w,w) -> G2(y,y,x,w)
 F(x,y,w,a,a) -> G1(y,x,x,w)
 F(x,y,w,w,a) -> G1(x,x,y,w)
 G1(x,x,y,a) -> H(x,y)
 G1(y,x,x,a) -> H(x,y)
 G2(x,y,y,a) -> H(x,y)
 G2(y,y,x,a) -> H(x,y)
-> Rules:
 f(x,y,a,a,w) -> g2(x,y,y,w)
 f(x,y,a,w,w) -> g2(y,y,x,w)
 f(x,y,w,a,a) -> g1(y,x,x,w)
 f(x,y,w,w,a) -> g1(x,x,y,w)
 g1(x,x,y,a) -> h(x,y)
 g1(y,x,x,a) -> h(x,y)
 g2(x,y,y,a) -> h(x,y)
 g2(y,y,x,a) -> h(x,y)
 h(x,x) -> x

Problem 1: 

SCC Processor:
-> Pairs:
 F(x,y,a,a,w) -> G2(x,y,y,w)
 F(x,y,a,w,w) -> G2(y,y,x,w)
 F(x,y,w,a,a) -> G1(y,x,x,w)
 F(x,y,w,w,a) -> G1(x,x,y,w)
 G1(x,x,y,a) -> H(x,y)
 G1(y,x,x,a) -> H(x,y)
 G2(x,y,y,a) -> H(x,y)
 G2(y,y,x,a) -> H(x,y)
-> Rules:
 f(x,y,a,a,w) -> g2(x,y,y,w)
 f(x,y,a,w,w) -> g2(y,y,x,w)
 f(x,y,w,a,a) -> g1(y,x,x,w)
 f(x,y,w,w,a) -> g1(x,x,y,w)
 g1(x,x,y,a) -> h(x,y)
 g1(y,x,x,a) -> h(x,y)
 g2(x,y,y,a) -> h(x,y)
 g2(y,y,x,a) -> h(x,y)
 h(x,x) -> x
->Strongly Connected Components:
 There is no strongly connected component

The problem is finite.