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TRS Standard pair #516963786
details
property
value
status
complete
benchmark
jwttt.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n032.star.cs.uiowa.edu
space
Waldmann_06
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.309119939804 seconds
cpu usage
0.151107964
max memory
4120576.0
stage attributes
key
value
output-size
3359
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) (RULES f(x:S,f(a,y:S)) -> f(a,f(f(a,h(f(a,x:S))),y:S)) ) Problem 1: Dependency Pairs Processor: -> Pairs: F(x:S,f(a,y:S)) -> F(f(a,h(f(a,x:S))),y:S) F(x:S,f(a,y:S)) -> F(a,f(f(a,h(f(a,x:S))),y:S)) F(x:S,f(a,y:S)) -> F(a,h(f(a,x:S))) F(x:S,f(a,y:S)) -> F(a,x:S) -> Rules: f(x:S,f(a,y:S)) -> f(a,f(f(a,h(f(a,x:S))),y:S)) Problem 1: SCC Processor: -> Pairs: F(x:S,f(a,y:S)) -> F(f(a,h(f(a,x:S))),y:S) F(x:S,f(a,y:S)) -> F(a,f(f(a,h(f(a,x:S))),y:S)) F(x:S,f(a,y:S)) -> F(a,h(f(a,x:S))) F(x:S,f(a,y:S)) -> F(a,x:S) -> Rules: f(x:S,f(a,y:S)) -> f(a,f(f(a,h(f(a,x:S))),y:S)) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: F(x:S,f(a,y:S)) -> F(f(a,h(f(a,x:S))),y:S) F(x:S,f(a,y:S)) -> F(a,f(f(a,h(f(a,x:S))),y:S)) F(x:S,f(a,y:S)) -> F(a,x:S) ->->-> Rules: f(x:S,f(a,y:S)) -> f(a,f(f(a,h(f(a,x:S))),y:S)) Problem 1: Reduction Pair Processor: -> Pairs: F(x:S,f(a,y:S)) -> F(f(a,h(f(a,x:S))),y:S) F(x:S,f(a,y:S)) -> F(a,f(f(a,h(f(a,x:S))),y:S)) F(x:S,f(a,y:S)) -> F(a,x:S) -> Rules: f(x:S,f(a,y:S)) -> f(a,f(f(a,h(f(a,x:S))),y:S)) -> Usable rules: f(x:S,f(a,y:S)) -> f(a,f(f(a,h(f(a,x:S))),y:S)) ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 1 ->Bound: 2 ->Interpretation: [f](X1,X2) = 2.X2 + 1 [a] = 0 [h](X) = 0 [F](X1,X2) = 2.X1 + 2.X2 Problem 1: SCC Processor: -> Pairs: F(x:S,f(a,y:S)) -> F(f(a,h(f(a,x:S))),y:S) F(x:S,f(a,y:S)) -> F(a,f(f(a,h(f(a,x:S))),y:S)) -> Rules: f(x:S,f(a,y:S)) -> f(a,f(f(a,h(f(a,x:S))),y:S)) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: F(x:S,f(a,y:S)) -> F(f(a,h(f(a,x:S))),y:S) F(x:S,f(a,y:S)) -> F(a,f(f(a,h(f(a,x:S))),y:S)) ->->-> Rules: f(x:S,f(a,y:S)) -> f(a,f(f(a,h(f(a,x:S))),y:S)) Problem 1: Reduction Pair Processor: -> Pairs: F(x:S,f(a,y:S)) -> F(f(a,h(f(a,x:S))),y:S) F(x:S,f(a,y:S)) -> F(a,f(f(a,h(f(a,x:S))),y:S)) -> Rules: f(x:S,f(a,y:S)) -> f(a,f(f(a,h(f(a,x:S))),y:S)) -> Usable rules: f(x:S,f(a,y:S)) -> f(a,f(f(a,h(f(a,x:S))),y:S)) ->Interpretation type: Linear ->Coefficients:
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