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TRS Stand 20472 pair #381716431
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
n027.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.0622880458832 seconds
cpu usage
0.03959457
max memory
2969600.0
stage attributes
key
value
output-size
1578
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) (RULES f(0) -> cons(0) f(s(0)) -> f(p(s(0))) p(s(X)) -> X ) Problem 1: Innermost Equivalent Processor: -> Rules: f(0) -> cons(0) f(s(0)) -> f(p(s(0))) p(s(X)) -> X -> 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)) -> X 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)) -> X ->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)) -> X 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)) -> X -> Usable rules: p(s(X)) -> X ->Interpretation type: Linear ->Coefficients: All rationals ->Dimension: 1 ->Bound: 2 ->Interpretation: [p](X) = 1/2.X + 1/2 [0] = 0 [s](X) = 2.X + 2 [F](X) = 1/2.X Problem 1: SCC Processor: -> Pairs: Empty -> Rules: f(0) -> cons(0) f(s(0)) -> f(p(s(0))) p(s(X)) -> X ->Strongly Connected Components: There is no strongly connected component The problem is finite.
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