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TRS Standard pair #516964131
details
property
value
status
complete
benchmark
31.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
Der95
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.0787479877472 seconds
cpu usage
0.019695487
max memory
1630208.0
stage attributes
key
value
output-size
2109
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/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),z:S) -> +(:(x:S,z:S),:(y:S,z:S)) :(z:S,+(x:S,f(y:S))) -> :(g(z:S,y:S),+(x:S,a)) ) 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),z:S) -> :#(x: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)) :(+(x:S,y:S),z:S) -> +(:(x:S,z:S),:(y:S,z:S)) :(z:S,+(x:S,f(y:S))) -> :(g(z:S,y:S),+(x:S,a)) 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),z:S) -> :#(x: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)) :(+(x:S,y:S),z:S) -> +(:(x:S,z:S),:(y:S,z:S)) :(z:S,+(x:S,f(y:S))) -> :(g(z:S,y:S),+(x:S,a)) ->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),z:S) -> :#(x: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)) :(+(x:S,y:S),z:S) -> +(:(x:S,z:S),:(y:S,z:S)) :(z:S,+(x:S,f(y:S))) -> :(g(z:S,y:S),+(x:S,a)) 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),z:S) -> :#(x: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)) :(+(x:S,y:S),z:S) -> +(:(x:S,z:S),:(y:S,z:S)) :(z:S,+(x:S,f(y:S))) -> :(g(z:S,y:S),+(x:S,a)) ->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),z:S) -> +(:(x:S,z:S),:(y:S,z:S)) :(z:S,+(x:S,f(y:S))) -> :(g(z:S,y:S),+(x:S,a)) ->Strongly Connected Components: There is no strongly connected component The problem is finite.
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