/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))
*(1,y:S) -> y:S
*(i(x:S),x:S) -> 1
*(x:S,0) -> 0
)

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)
-> Rules:
 *(*(x:S,y:S),z:S) -> *(x:S,*(y:S,z:S))
 *(1,y:S) -> y:S
 *(i(x:S),x:S) -> 1
 *(x:S,0) -> 0

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)
-> Rules:
 *(*(x:S,y:S),z:S) -> *(x:S,*(y:S,z:S))
 *(1,y:S) -> y:S
 *(i(x:S),x:S) -> 1
 *(x:S,0) -> 0
->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)
->->-> Rules:
 *(*(x:S,y:S),z:S) -> *(x:S,*(y:S,z:S))
 *(1,y:S) -> y:S
 *(i(x:S),x:S) -> 1
 *(x:S,0) -> 0

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)
-> Rules:
 *(*(x:S,y:S),z:S) -> *(x:S,*(y:S,z:S))
 *(1,y:S) -> y:S
 *(i(x:S),x:S) -> 1
 *(x:S,0) -> 0
->Projection:
 pi(*#) = 1

Problem 1: 

SCC Processor:
-> Pairs:
 Empty
-> Rules:
 *(*(x:S,y:S),z:S) -> *(x:S,*(y:S,z:S))
 *(1,y:S) -> y:S
 *(i(x:S),x:S) -> 1
 *(x:S,0) -> 0
->Strongly Connected Components:
 There is no strongly connected component

The problem is finite.