/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


--------------------------------------------------------------------------------


YES

Problem 1: 

(VAR x y)
(RULES
+(0,y) -> y
+(s(x),y) -> +(x,s(y))
+(s(x),y) -> s(+(x,y))
)

Problem 1: 

Dependency Pairs Processor:
-> Pairs:
 +#(s(x),y) -> +#(x,s(y))
 +#(s(x),y) -> +#(x,y)
-> Rules:
 +(0,y) -> y
 +(s(x),y) -> +(x,s(y))
 +(s(x),y) -> s(+(x,y))

Problem 1: 

SCC Processor:
-> Pairs:
 +#(s(x),y) -> +#(x,s(y))
 +#(s(x),y) -> +#(x,y)
-> Rules:
 +(0,y) -> y
 +(s(x),y) -> +(x,s(y))
 +(s(x),y) -> s(+(x,y))
->Strongly Connected Components:
->->Cycle:
->->-> Pairs:
 +#(s(x),y) -> +#(x,s(y))
 +#(s(x),y) -> +#(x,y)
->->-> Rules:
 +(0,y) -> y
 +(s(x),y) -> +(x,s(y))
 +(s(x),y) -> s(+(x,y))

Problem 1: 

Subterm Processor:
-> Pairs:
 +#(s(x),y) -> +#(x,s(y))
 +#(s(x),y) -> +#(x,y)
-> Rules:
 +(0,y) -> y
 +(s(x),y) -> +(x,s(y))
 +(s(x),y) -> s(+(x,y))
->Projection:
 pi(+#) = 1

Problem 1: 

SCC Processor:
-> Pairs:
 Empty
-> Rules:
 +(0,y) -> y
 +(s(x),y) -> +(x,s(y))
 +(s(x),y) -> s(+(x,y))
->Strongly Connected Components:
 There is no strongly connected component

The problem is finite.