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TRS Stand 20472 pair #381712301
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
n078.star.cs.uiowa.edu
space
Waldmann_06
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.132208108902 seconds
cpu usage
0.118388864
max memory
3997696.0
stage attributes
key
value
output-size
3043
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 x y) (RULES f(x,f(a,y)) -> f(a,f(f(a,h(f(a,x))),y)) ) Problem 1: Dependency Pairs Processor: -> Pairs: F(x,f(a,y)) -> F(f(a,h(f(a,x))),y) F(x,f(a,y)) -> F(a,f(f(a,h(f(a,x))),y)) F(x,f(a,y)) -> F(a,h(f(a,x))) F(x,f(a,y)) -> F(a,x) -> Rules: f(x,f(a,y)) -> f(a,f(f(a,h(f(a,x))),y)) Problem 1: SCC Processor: -> Pairs: F(x,f(a,y)) -> F(f(a,h(f(a,x))),y) F(x,f(a,y)) -> F(a,f(f(a,h(f(a,x))),y)) F(x,f(a,y)) -> F(a,h(f(a,x))) F(x,f(a,y)) -> F(a,x) -> Rules: f(x,f(a,y)) -> f(a,f(f(a,h(f(a,x))),y)) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: F(x,f(a,y)) -> F(f(a,h(f(a,x))),y) F(x,f(a,y)) -> F(a,f(f(a,h(f(a,x))),y)) F(x,f(a,y)) -> F(a,x) ->->-> Rules: f(x,f(a,y)) -> f(a,f(f(a,h(f(a,x))),y)) Problem 1: Reduction Pair Processor: -> Pairs: F(x,f(a,y)) -> F(f(a,h(f(a,x))),y) F(x,f(a,y)) -> F(a,f(f(a,h(f(a,x))),y)) F(x,f(a,y)) -> F(a,x) -> Rules: f(x,f(a,y)) -> f(a,f(f(a,h(f(a,x))),y)) -> Usable rules: f(x,f(a,y)) -> f(a,f(f(a,h(f(a,x))),y)) ->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,f(a,y)) -> F(f(a,h(f(a,x))),y) F(x,f(a,y)) -> F(a,f(f(a,h(f(a,x))),y)) -> Rules: f(x,f(a,y)) -> f(a,f(f(a,h(f(a,x))),y)) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: F(x,f(a,y)) -> F(f(a,h(f(a,x))),y) F(x,f(a,y)) -> F(a,f(f(a,h(f(a,x))),y)) ->->-> Rules: f(x,f(a,y)) -> f(a,f(f(a,h(f(a,x))),y)) Problem 1: Reduction Pair Processor: -> Pairs: F(x,f(a,y)) -> F(f(a,h(f(a,x))),y) F(x,f(a,y)) -> F(a,f(f(a,h(f(a,x))),y)) -> Rules: f(x,f(a,y)) -> f(a,f(f(a,h(f(a,x))),y)) -> Usable rules: f(x,f(a,y)) -> f(a,f(f(a,h(f(a,x))),y)) ->Interpretation type: Linear ->Coefficients:
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