/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 z)
(RULES
f(g(x),h(x),y,x) -> f(y,y,y,x)
f(x,y,z,0) -> 2
g(0) -> 2
h(0) -> 2
)

Problem 1: 

Dependency Pairs Processor:
-> Pairs:
 F(g(x),h(x),y,x) -> F(y,y,y,x)
-> Rules:
 f(g(x),h(x),y,x) -> f(y,y,y,x)
 f(x,y,z,0) -> 2
 g(0) -> 2
 h(0) -> 2

Problem 1: 

SCC Processor:
-> Pairs:
 F(g(x),h(x),y,x) -> F(y,y,y,x)
-> Rules:
 f(g(x),h(x),y,x) -> f(y,y,y,x)
 f(x,y,z,0) -> 2
 g(0) -> 2
 h(0) -> 2
->Strongly Connected Components:
->->Cycle:
->->-> Pairs:
 F(g(x),h(x),y,x) -> F(y,y,y,x)
->->-> Rules:
 f(g(x),h(x),y,x) -> f(y,y,y,x)
 f(x,y,z,0) -> 2
 g(0) -> 2
 h(0) -> 2

Problem 1: 

Forward Instantiation Processor:
-> Pairs:
 F(g(x),h(x),y,x) -> F(y,y,y,x)
-> Rules:
 f(g(x),h(x),y,x) -> f(y,y,y,x)
 f(x,y,z,0) -> 2
 g(0) -> 2
 h(0) -> 2
->Instantiated Pairs:
->->Original Pair:
 F(g(x),h(x),y,x) -> F(y,y,y,x)
->-> Instantiated pairs:
 Empty

Problem 1: 

SCC Processor:
-> Pairs:
 Empty
-> Rules:
 f(g(x),h(x),y,x) -> f(y,y,y,x)
 f(x,y,z,0) -> 2
 g(0) -> 2
 h(0) -> 2
->Strongly Connected Components:
 There is no strongly connected component

The problem is finite.