/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 y:S z:S)
(RULES
:(:(x:S,y:S),z:S) -> :(x:S,:(y:S,z:S))
:(+(x:S,y:S),z:S) -> +(:(x:S,z:S),:(y:S,z:S))
:(z:S,+(x:S,f(y:S))) -> :(g(z:S,y:S),+(x:S,a))
)

Problem 1: 

Dependency Pairs Processor:
-> Pairs:
 :#(:(x:S,y:S),z:S) -> :#(x:S,:(y:S,z:S))
 :#(:(x:S,y:S),z:S) -> :#(y:S,z:S)
 :#(+(x:S,y:S),z:S) -> :#(x:S,z:S)
 :#(+(x:S,y:S),z:S) -> :#(y:S,z:S)
-> Rules:
 :(:(x:S,y:S),z:S) -> :(x:S,:(y:S,z:S))
 :(+(x:S,y:S),z:S) -> +(:(x:S,z:S),:(y:S,z:S))
 :(z:S,+(x:S,f(y:S))) -> :(g(z:S,y:S),+(x:S,a))

Problem 1: 

SCC Processor:
-> Pairs:
 :#(:(x:S,y:S),z:S) -> :#(x:S,:(y:S,z:S))
 :#(:(x:S,y:S),z:S) -> :#(y:S,z:S)
 :#(+(x:S,y:S),z:S) -> :#(x:S,z:S)
 :#(+(x:S,y:S),z:S) -> :#(y:S,z:S)
-> Rules:
 :(:(x:S,y:S),z:S) -> :(x:S,:(y:S,z:S))
 :(+(x:S,y:S),z:S) -> +(:(x:S,z:S),:(y:S,z:S))
 :(z:S,+(x:S,f(y:S))) -> :(g(z:S,y:S),+(x:S,a))
->Strongly Connected Components:
->->Cycle:
->->-> Pairs:
 :#(:(x:S,y:S),z:S) -> :#(x:S,:(y:S,z:S))
 :#(:(x:S,y:S),z:S) -> :#(y:S,z:S)
 :#(+(x:S,y:S),z:S) -> :#(x:S,z:S)
 :#(+(x:S,y:S),z:S) -> :#(y:S,z:S)
->->-> Rules:
 :(:(x:S,y:S),z:S) -> :(x:S,:(y:S,z:S))
 :(+(x:S,y:S),z:S) -> +(:(x:S,z:S),:(y:S,z:S))
 :(z:S,+(x:S,f(y:S))) -> :(g(z:S,y:S),+(x:S,a))

Problem 1: 

Subterm Processor:
-> Pairs:
 :#(:(x:S,y:S),z:S) -> :#(x:S,:(y:S,z:S))
 :#(:(x:S,y:S),z:S) -> :#(y:S,z:S)
 :#(+(x:S,y:S),z:S) -> :#(x:S,z:S)
 :#(+(x:S,y:S),z:S) -> :#(y:S,z:S)
-> Rules:
 :(:(x:S,y:S),z:S) -> :(x:S,:(y:S,z:S))
 :(+(x:S,y:S),z:S) -> +(:(x:S,z:S),:(y:S,z:S))
 :(z:S,+(x:S,f(y:S))) -> :(g(z:S,y:S),+(x:S,a))
->Projection:
 pi(:#) = 1

Problem 1: 

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

The problem is finite.