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TRS Standard pair #516961496
details
property
value
status
complete
benchmark
ExProp7_Luc06_L.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n143.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.103643894196 seconds
cpu usage
0.052611021
max memory
3272704.0
stage attributes
key
value
output-size
1673
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) (RULES f(0) -> cons(0) f(s(0)) -> f(p(s(0))) p(s(X:S)) -> X:S ) Problem 1: Innermost Equivalent Processor: -> Rules: f(0) -> cons(0) f(s(0)) -> f(p(s(0))) p(s(X:S)) -> X:S -> The term rewriting system is non-overlaping or locally confluent overlay system. Therefore, innermost termination implies termination. Problem 1: Dependency Pairs Processor: -> Pairs: F(s(0)) -> F(p(s(0))) F(s(0)) -> P(s(0)) -> Rules: f(0) -> cons(0) f(s(0)) -> f(p(s(0))) p(s(X:S)) -> X:S Problem 1: SCC Processor: -> Pairs: F(s(0)) -> F(p(s(0))) F(s(0)) -> P(s(0)) -> Rules: f(0) -> cons(0) f(s(0)) -> f(p(s(0))) p(s(X:S)) -> X:S ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: F(s(0)) -> F(p(s(0))) ->->-> Rules: f(0) -> cons(0) f(s(0)) -> f(p(s(0))) p(s(X:S)) -> X:S Problem 1: Reduction Pairs Processor: -> Pairs: F(s(0)) -> F(p(s(0))) -> Rules: f(0) -> cons(0) f(s(0)) -> f(p(s(0))) p(s(X:S)) -> X:S -> Usable rules: p(s(X:S)) -> X:S ->Interpretation type: Linear ->Coefficients: All rationals ->Dimension: 1 ->Bound: 2 ->Interpretation: [f](X) = 0 [p](X) = 1/2.X + 1 [0] = 2 [cons](X) = 0 [fSNonEmpty] = 0 [s](X) = 2.X [F](X) = 2.X [P](X) = 0 Problem 1: SCC Processor: -> Pairs: Empty -> Rules: f(0) -> cons(0) f(s(0)) -> f(p(s(0))) p(s(X:S)) -> X:S ->Strongly Connected Components: There is no strongly connected component The problem is finite.
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