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TRS Standard pair #516964081
details
property
value
status
complete
benchmark
26.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n144.star.cs.uiowa.edu
space
Various_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.107306003571 seconds
cpu usage
0.063814401
max memory
3796992.0
stage attributes
key
value
output-size
2992
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(f(x:S)) -> f(g(f(x:S),x:S)) f(f(x:S)) -> f(h(f(x:S),f(x:S))) g(x:S,y:S) -> y:S h(x:S,x:S) -> g(x:S,0) ) Problem 1: Dependency Pairs Processor: -> Pairs: F(f(x:S)) -> F(g(f(x:S),x:S)) F(f(x:S)) -> F(h(f(x:S),f(x:S))) F(f(x:S)) -> G(f(x:S),x:S) F(f(x:S)) -> H(f(x:S),f(x:S)) H(x:S,x:S) -> G(x:S,0) -> Rules: f(f(x:S)) -> f(g(f(x:S),x:S)) f(f(x:S)) -> f(h(f(x:S),f(x:S))) g(x:S,y:S) -> y:S h(x:S,x:S) -> g(x:S,0) Problem 1: SCC Processor: -> Pairs: F(f(x:S)) -> F(g(f(x:S),x:S)) F(f(x:S)) -> F(h(f(x:S),f(x:S))) F(f(x:S)) -> G(f(x:S),x:S) F(f(x:S)) -> H(f(x:S),f(x:S)) H(x:S,x:S) -> G(x:S,0) -> Rules: f(f(x:S)) -> f(g(f(x:S),x:S)) f(f(x:S)) -> f(h(f(x:S),f(x:S))) g(x:S,y:S) -> y:S h(x:S,x:S) -> g(x:S,0) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: F(f(x:S)) -> F(g(f(x:S),x:S)) F(f(x:S)) -> F(h(f(x:S),f(x:S))) ->->-> Rules: f(f(x:S)) -> f(g(f(x:S),x:S)) f(f(x:S)) -> f(h(f(x:S),f(x:S))) g(x:S,y:S) -> y:S h(x:S,x:S) -> g(x:S,0) Problem 1: Reduction Pair Processor: -> Pairs: F(f(x:S)) -> F(g(f(x:S),x:S)) F(f(x:S)) -> F(h(f(x:S),f(x:S))) -> Rules: f(f(x:S)) -> f(g(f(x:S),x:S)) f(f(x:S)) -> f(h(f(x:S),f(x:S))) g(x:S,y:S) -> y:S h(x:S,x:S) -> g(x:S,0) -> Usable rules: f(f(x:S)) -> f(g(f(x:S),x:S)) f(f(x:S)) -> f(h(f(x:S),f(x:S))) g(x:S,y:S) -> y:S h(x:S,x:S) -> g(x:S,0) ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 1 ->Bound: 2 ->Interpretation: [f](X) = 2.X + 2 [g](X1,X2) = 2.X2 [h](X1,X2) = X2 [0] = 0 [F](X) = 2.X Problem 1: SCC Processor: -> Pairs: F(f(x:S)) -> F(h(f(x:S),f(x:S))) -> Rules: f(f(x:S)) -> f(g(f(x:S),x:S)) f(f(x:S)) -> f(h(f(x:S),f(x:S))) g(x:S,y:S) -> y:S h(x:S,x:S) -> g(x:S,0)
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