/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(0,1,x) -> h(x,x)
g(x,y) -> x
g(x,y) -> y
h(x,y) -> f(x,y,x)
) 
(STRATEGY INNERMOST)

Problem 1: 

Dependency Pairs Processor:
-> Pairs:
 F(0,1,x) -> H(x,x)
 H(x,y) -> F(x,y,x)
-> Rules:
 f(0,1,x) -> h(x,x)
 g(x,y) -> x
 g(x,y) -> y
 h(x,y) -> f(x,y,x)

Problem 1: 

SCC Processor:
-> Pairs:
 F(0,1,x) -> H(x,x)
 H(x,y) -> F(x,y,x)
-> Rules:
 f(0,1,x) -> h(x,x)
 g(x,y) -> x
 g(x,y) -> y
 h(x,y) -> f(x,y,x)
->Strongly Connected Components:
->->Cycle:
->->-> Pairs:
 F(0,1,x) -> H(x,x)
 H(x,y) -> F(x,y,x)
->->-> Rules:
 f(0,1,x) -> h(x,x)
 g(x,y) -> x
 g(x,y) -> y
 h(x,y) -> f(x,y,x)

Problem 1: 

Instantiation Processor:
-> Pairs:
 F(0,1,x) -> H(x,x)
 H(x,y) -> F(x,y,x)
-> Rules:
 f(0,1,x) -> h(x,x)
 g(x,y) -> x
 g(x,y) -> y
 h(x,y) -> f(x,y,x)
->Instantiated Pairs:
->->Original Pair:
 F(0,1,x) -> H(x,x)
->-> Instantiated pairs:
 F(0,1,0) -> H(0,0)
->->Original Pair:
 H(x,y) -> F(x,y,x)
->-> Instantiated pairs:
 H(y,y) -> F(y,y,y)

Problem 1: 

SCC Processor:
-> Pairs:
 F(0,1,0) -> H(0,0)
 H(y,y) -> F(y,y,y)
-> Rules:
 f(0,1,x) -> h(x,x)
 g(x,y) -> x
 g(x,y) -> y
 h(x,y) -> f(x,y,x)
->Strongly Connected Components:
 There is no strongly connected component

The problem is finite.