/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)
(RULES
a(f,a(f,x)) -> a(x,x)
a(h,x) -> a(f,a(g,a(f,x)))
)

Problem 1: 

Dependency Pairs Processor:
-> Pairs:
 A(f,a(f,x)) -> A(x,x)
 A(h,x) -> A(f,a(g,a(f,x)))
 A(h,x) -> A(f,x)
 A(h,x) -> A(g,a(f,x))
-> Rules:
 a(f,a(f,x)) -> a(x,x)
 a(h,x) -> a(f,a(g,a(f,x)))

Problem 1: 

SCC Processor:
-> Pairs:
 A(f,a(f,x)) -> A(x,x)
 A(h,x) -> A(f,a(g,a(f,x)))
 A(h,x) -> A(f,x)
 A(h,x) -> A(g,a(f,x))
-> Rules:
 a(f,a(f,x)) -> a(x,x)
 a(h,x) -> a(f,a(g,a(f,x)))
->Strongly Connected Components:
->->Cycle:
->->-> Pairs:
 A(f,a(f,x)) -> A(x,x)
 A(h,x) -> A(f,x)
->->-> Rules:
 a(f,a(f,x)) -> a(x,x)
 a(h,x) -> a(f,a(g,a(f,x)))

Problem 1: 

Subterm Processor:
-> Pairs:
 A(f,a(f,x)) -> A(x,x)
 A(h,x) -> A(f,x)
-> Rules:
 a(f,a(f,x)) -> a(x,x)
 a(h,x) -> a(f,a(g,a(f,x)))
->Projection:
 pi(A) = 2

Problem 1: 

SCC Processor:
-> Pairs:
 A(h,x) -> A(f,x)
-> Rules:
 a(f,a(f,x)) -> a(x,x)
 a(h,x) -> a(f,a(g,a(f,x)))
->Strongly Connected Components:
 There is no strongly connected component

The problem is finite.