/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 v_NonEmpty:S x:S y:S)
(RULES
+(+(x:S,y:S),minus(y:S)) -> x:S
+(minus(x:S),+(x:S,y:S)) -> y:S
minus(minus(x:S)) -> x:S
minux(+(x:S,y:S)) -> +(minus(y:S),minus(x:S))
)

Problem 1: 

Dependency Pairs Processor:
-> Pairs:
 MINUX(+(x:S,y:S)) -> +#(minus(y:S),minus(x:S))
 MINUX(+(x:S,y:S)) -> MINUS(x:S)
 MINUX(+(x:S,y:S)) -> MINUS(y:S)
-> Rules:
 +(+(x:S,y:S),minus(y:S)) -> x:S
 +(minus(x:S),+(x:S,y:S)) -> y:S
 minus(minus(x:S)) -> x:S
 minux(+(x:S,y:S)) -> +(minus(y:S),minus(x:S))

Problem 1: 

SCC Processor:
-> Pairs:
 MINUX(+(x:S,y:S)) -> +#(minus(y:S),minus(x:S))
 MINUX(+(x:S,y:S)) -> MINUS(x:S)
 MINUX(+(x:S,y:S)) -> MINUS(y:S)
-> Rules:
 +(+(x:S,y:S),minus(y:S)) -> x:S
 +(minus(x:S),+(x:S,y:S)) -> y:S
 minus(minus(x:S)) -> x:S
 minux(+(x:S,y:S)) -> +(minus(y:S),minus(x:S))
->Strongly Connected Components:
 There is no strongly connected component

The problem is finite.