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TRS Standard pair #516965511
details
property
value
status
complete
benchmark
jw20.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n138.star.cs.uiowa.edu
space
Zantema_05
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.164470911026 seconds
cpu usage
0.113696104
max memory
5251072.0
stage attributes
key
value
output-size
1600
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(x:S,f(a,a)) -> f(f(a,f(f(a,a),a)),x:S) ) Problem 1: Innermost Equivalent Processor: -> Rules: f(x:S,f(a,a)) -> f(f(a,f(f(a,a),a)),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(x:S,f(a,a)) -> F(f(a,f(f(a,a),a)),x:S) -> Rules: f(x:S,f(a,a)) -> f(f(a,f(f(a,a),a)),x:S) Problem 1: SCC Processor: -> Pairs: F(x:S,f(a,a)) -> F(f(a,f(f(a,a),a)),x:S) -> Rules: f(x:S,f(a,a)) -> f(f(a,f(f(a,a),a)),x:S) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: F(x:S,f(a,a)) -> F(f(a,f(f(a,a),a)),x:S) ->->-> Rules: f(x:S,f(a,a)) -> f(f(a,f(f(a,a),a)),x:S) Problem 1: Reduction Pairs Processor: -> Pairs: F(x:S,f(a,a)) -> F(f(a,f(f(a,a),a)),x:S) -> Rules: f(x:S,f(a,a)) -> f(f(a,f(f(a,a),a)),x:S) -> Usable rules: f(x:S,f(a,a)) -> f(f(a,f(f(a,a),a)),x:S) ->Interpretation type: Linear ->Coefficients: All rationals ->Dimension: 1 ->Bound: 4 ->Interpretation: [f](X1,X2) = 1/3.X1 + 1/3.X2 [a] = 2 [fSNonEmpty] = 0 [F](X1,X2) = 1/4.X1 + 1/4.X2 Problem 1: SCC Processor: -> Pairs: Empty -> Rules: f(x:S,f(a,a)) -> f(f(a,f(f(a,a),a)),x:S) ->Strongly Connected Components: There is no strongly connected component The problem is finite.
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