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


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NO

Problem 1: 

(VAR v_NonEmpty:S X:S Y:S)
(RULES
*(X:S,+(Y:S,1)) -> +(*(X:S,+(Y:S,*(1,0))),X:S)
*(X:S,0) -> 0
*(X:S,0) -> X:S
*(X:S,1) -> X:S
)

Problem 1: 

Dependency Pairs Processor:
-> Pairs:
 *#(X:S,+(Y:S,1)) -> *#(1,0)
 *#(X:S,+(Y:S,1)) -> *#(X:S,+(Y:S,*(1,0)))
-> Rules:
 *(X:S,+(Y:S,1)) -> +(*(X:S,+(Y:S,*(1,0))),X:S)
 *(X:S,0) -> 0
 *(X:S,0) -> X:S
 *(X:S,1) -> X:S

Problem 1: 

SCC Processor:
-> Pairs:
 *#(X:S,+(Y:S,1)) -> *#(1,0)
 *#(X:S,+(Y:S,1)) -> *#(X:S,+(Y:S,*(1,0)))
-> Rules:
 *(X:S,+(Y:S,1)) -> +(*(X:S,+(Y:S,*(1,0))),X:S)
 *(X:S,0) -> 0
 *(X:S,0) -> X:S
 *(X:S,1) -> X:S
->Strongly Connected Components:
->->Cycle:
->->-> Pairs:
 *#(X:S,+(Y:S,1)) -> *#(X:S,+(Y:S,*(1,0)))
->->-> Rules:
 *(X:S,+(Y:S,1)) -> +(*(X:S,+(Y:S,*(1,0))),X:S)
 *(X:S,0) -> 0
 *(X:S,0) -> X:S
 *(X:S,1) -> X:S

Problem 1: 

Narrowing Processor:
-> Pairs:
 *#(X:S,+(Y:S,1)) -> *#(X:S,+(Y:S,*(1,0)))
-> Rules:
 *(X:S,+(Y:S,1)) -> +(*(X:S,+(Y:S,*(1,0))),X:S)
 *(X:S,0) -> 0
 *(X:S,0) -> X:S
 *(X:S,1) -> X:S
->Narrowed Pairs:
->->Original Pair:
 *#(X:S,+(Y:S,1)) -> *#(X:S,+(Y:S,*(1,0)))
->-> Narrowed pairs:
 *#(x3:S,+(x4:S,1)) -> *#(x3:S,+(x4:S,0))
 *#(x3:S,+(x4:S,1)) -> *#(x3:S,+(x4:S,1))

Problem 1: 

Infinite Processor:
-> Pairs:
 *#(x3:S,+(x4:S,1)) -> *#(x3:S,+(x4:S,0))
 *#(x3:S,+(x4:S,1)) -> *#(x3:S,+(x4:S,1))
-> Rules:
 *(X:S,+(Y:S,1)) -> +(*(X:S,+(Y:S,*(1,0))),X:S)
 *(X:S,0) -> 0
 *(X:S,0) -> X:S
 *(X:S,1) -> X:S
-> Pairs in cycle:
 *#(x3:S,+(x4:S,1)) -> *#(x3:S,+(x4:S,1))

The problem is infinite.