/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 x y z)
(RULES
*(*(x,y),z) -> *(x,*(y,z))
*(1,y) -> y
*(i(x),x) -> 1
*(x,0) -> 0
)

Problem 1: 

Dependency Pairs Processor:
-> Pairs:
 *#(*(x,y),z) -> *#(x,*(y,z))
 *#(*(x,y),z) -> *#(y,z)
-> Rules:
 *(*(x,y),z) -> *(x,*(y,z))
 *(1,y) -> y
 *(i(x),x) -> 1
 *(x,0) -> 0

Problem 1: 

SCC Processor:
-> Pairs:
 *#(*(x,y),z) -> *#(x,*(y,z))
 *#(*(x,y),z) -> *#(y,z)
-> Rules:
 *(*(x,y),z) -> *(x,*(y,z))
 *(1,y) -> y
 *(i(x),x) -> 1
 *(x,0) -> 0
->Strongly Connected Components:
->->Cycle:
->->-> Pairs:
 *#(*(x,y),z) -> *#(x,*(y,z))
 *#(*(x,y),z) -> *#(y,z)
->->-> Rules:
 *(*(x,y),z) -> *(x,*(y,z))
 *(1,y) -> y
 *(i(x),x) -> 1
 *(x,0) -> 0

Problem 1: 

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

Problem 1: 

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

The problem is finite.