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TRS Standard pair #516964016
details
property
value
status
complete
benchmark
18.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n071.star.cs.uiowa.edu
space
Various_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.086935043335 seconds
cpu usage
0.020133505
max memory
1781760.0
stage attributes
key
value
output-size
2360
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- 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)) +(*(x:S,y:S),+(*(x:S,z:S),u)) -> +(*(x:S,+(y:S,z:S)),u) +(*(x:S,y:S),*(x:S,z:S)) -> *(x:S,+(y:S,z:S)) ) 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) +#(*(x:S,y:S),+(*(x:S,z:S),u)) -> +#(*(x:S,+(y:S,z:S)),u) +#(*(x:S,y:S),+(*(x:S,z:S),u)) -> +#(y:S,z:S) +#(*(x:S,y:S),*(x:S,z:S)) -> +#(y:S,z:S) -> Rules: +(+(x:S,y:S),z:S) -> +(x:S,+(y:S,z:S)) +(*(x:S,y:S),+(*(x:S,z:S),u)) -> +(*(x:S,+(y:S,z:S)),u) +(*(x:S,y:S),*(x:S,z:S)) -> *(x:S,+(y:S,z:S)) 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) +#(*(x:S,y:S),+(*(x:S,z:S),u)) -> +#(*(x:S,+(y:S,z:S)),u) +#(*(x:S,y:S),+(*(x:S,z:S),u)) -> +#(y:S,z:S) +#(*(x:S,y:S),*(x:S,z:S)) -> +#(y:S,z:S) -> Rules: +(+(x:S,y:S),z:S) -> +(x:S,+(y:S,z:S)) +(*(x:S,y:S),+(*(x:S,z:S),u)) -> +(*(x:S,+(y:S,z:S)),u) +(*(x:S,y:S),*(x:S,z:S)) -> *(x:S,+(y:S,z:S)) ->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) +#(*(x:S,y:S),+(*(x:S,z:S),u)) -> +#(y:S,z:S) +#(*(x:S,y:S),*(x:S,z:S)) -> +#(y:S,z:S) ->->-> Rules: +(+(x:S,y:S),z:S) -> +(x:S,+(y:S,z:S)) +(*(x:S,y:S),+(*(x:S,z:S),u)) -> +(*(x:S,+(y:S,z:S)),u) +(*(x:S,y:S),*(x:S,z:S)) -> *(x:S,+(y:S,z:S)) 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) +#(*(x:S,y:S),+(*(x:S,z:S),u)) -> +#(y:S,z:S) +#(*(x:S,y:S),*(x:S,z:S)) -> +#(y:S,z:S) -> Rules: +(+(x:S,y:S),z:S) -> +(x:S,+(y:S,z:S)) +(*(x:S,y:S),+(*(x:S,z:S),u)) -> +(*(x:S,+(y:S,z:S)),u) +(*(x:S,y:S),*(x:S,z:S)) -> *(x:S,+(y:S,z:S)) ->Projection: pi(+#) = 1 Problem 1: SCC Processor: -> Pairs: Empty -> Rules: +(+(x:S,y:S),z:S) -> +(x:S,+(y:S,z:S)) +(*(x:S,y:S),+(*(x:S,z:S),u)) -> +(*(x:S,+(y:S,z:S)),u) +(*(x:S,y:S),*(x:S,z:S)) -> *(x:S,+(y:S,z:S)) ->Strongly Connected Components: There is no strongly connected component The problem is finite.
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