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TRS Standard pair #516965671
details
property
value
status
complete
benchmark
jw50.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n169.star.cs.uiowa.edu
space
Zantema_05
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
1.66350507736 seconds
cpu usage
1.580736791
max memory
7258112.0
stage attributes
key
value
output-size
1634
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(f(a,f(a,a)),x:S) -> f(x:S,f(f(a,a),a)) ) Problem 1: Innermost Equivalent Processor: -> Rules: f(f(a,f(a,a)),x:S) -> f(x:S,f(f(a,a),a)) -> The term rewriting system is non-overlaping or locally confluent overlay system. Therefore, innermost termination implies termination. Problem 1: Dependency Pairs Processor: -> Pairs: F(f(a,f(a,a)),x:S) -> F(x:S,f(f(a,a),a)) -> Rules: f(f(a,f(a,a)),x:S) -> f(x:S,f(f(a,a),a)) Problem 1: SCC Processor: -> Pairs: F(f(a,f(a,a)),x:S) -> F(x:S,f(f(a,a),a)) -> Rules: f(f(a,f(a,a)),x:S) -> f(x:S,f(f(a,a),a)) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: F(f(a,f(a,a)),x:S) -> F(x:S,f(f(a,a),a)) ->->-> Rules: f(f(a,f(a,a)),x:S) -> f(x:S,f(f(a,a),a)) Problem 1: Reduction Pairs Processor: -> Pairs: F(f(a,f(a,a)),x:S) -> F(x:S,f(f(a,a),a)) -> Rules: f(f(a,f(a,a)),x:S) -> f(x:S,f(f(a,a),a)) -> Usable rules: f(f(a,f(a,a)),x:S) -> f(x:S,f(f(a,a),a)) ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 2 ->Bound: 1 ->Interpretation: [f](X1,X2) = [1 0;0 0].X1 + [1 1;0 0].X2 + [0;1] [a] = 0 [fSNonEmpty] = 0 [F](X1,X2) = [1 1;1 1].X1 + [1 1;1 1].X2 Problem 1: SCC Processor: -> Pairs: Empty -> Rules: f(f(a,f(a,a)),x:S) -> f(x:S,f(f(a,a),a)) ->Strongly Connected Components: There is no strongly connected component The problem is finite.
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