/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 u x y z)
(RULES
+(*(x,y),+(*(x,z),u)) -> +(*(x,+(y,z)),u)
+(*(x,y),+(x,z)) -> *(x,+(y,z))
+(x,+(y,z)) -> +(+(x,y),z)
)

Problem 1: 

Dependency Pairs Processor:
-> Pairs:
 +#(*(x,y),+(*(x,z),u)) -> +#(*(x,+(y,z)),u)
 +#(*(x,y),+(*(x,z),u)) -> +#(y,z)
 +#(*(x,y),+(x,z)) -> +#(y,z)
 +#(x,+(y,z)) -> +#(+(x,y),z)
 +#(x,+(y,z)) -> +#(x,y)
-> Rules:
 +(*(x,y),+(*(x,z),u)) -> +(*(x,+(y,z)),u)
 +(*(x,y),+(x,z)) -> *(x,+(y,z))
 +(x,+(y,z)) -> +(+(x,y),z)

Problem 1: 

SCC Processor:
-> Pairs:
 +#(*(x,y),+(*(x,z),u)) -> +#(*(x,+(y,z)),u)
 +#(*(x,y),+(*(x,z),u)) -> +#(y,z)
 +#(*(x,y),+(x,z)) -> +#(y,z)
 +#(x,+(y,z)) -> +#(+(x,y),z)
 +#(x,+(y,z)) -> +#(x,y)
-> Rules:
 +(*(x,y),+(*(x,z),u)) -> +(*(x,+(y,z)),u)
 +(*(x,y),+(x,z)) -> *(x,+(y,z))
 +(x,+(y,z)) -> +(+(x,y),z)
->Strongly Connected Components:
->->Cycle:
->->-> Pairs:
 +#(*(x,y),+(*(x,z),u)) -> +#(*(x,+(y,z)),u)
 +#(*(x,y),+(*(x,z),u)) -> +#(y,z)
 +#(*(x,y),+(x,z)) -> +#(y,z)
 +#(x,+(y,z)) -> +#(+(x,y),z)
 +#(x,+(y,z)) -> +#(x,y)
->->-> Rules:
 +(*(x,y),+(*(x,z),u)) -> +(*(x,+(y,z)),u)
 +(*(x,y),+(x,z)) -> *(x,+(y,z))
 +(x,+(y,z)) -> +(+(x,y),z)

Problem 1: 

Subterm Processor:
-> Pairs:
 +#(*(x,y),+(*(x,z),u)) -> +#(*(x,+(y,z)),u)
 +#(*(x,y),+(*(x,z),u)) -> +#(y,z)
 +#(*(x,y),+(x,z)) -> +#(y,z)
 +#(x,+(y,z)) -> +#(+(x,y),z)
 +#(x,+(y,z)) -> +#(x,y)
-> Rules:
 +(*(x,y),+(*(x,z),u)) -> +(*(x,+(y,z)),u)
 +(*(x,y),+(x,z)) -> *(x,+(y,z))
 +(x,+(y,z)) -> +(+(x,y),z)
->Projection:
 pi(+#) = 2

Problem 1: 

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

The problem is finite.