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TRS Stand 20472 pair #381714015
details
property
value
status
complete
benchmark
jw07.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n084.star.cs.uiowa.edu
space
Zantema_05
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.12912106514 seconds
cpu usage
0.094404271
max memory
3690496.0
stage attributes
key
value
output-size
2242
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(a,f(x,a)) -> f(a,f(x,f(f(a,a),a))) ) Problem 1: Innermost Equivalent Processor: -> Rules: f(a,f(x,a)) -> f(a,f(x,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(a,f(x,a)) -> F(a,f(x,f(f(a,a),a))) F(a,f(x,a)) -> F(x,f(f(a,a),a)) -> Rules: f(a,f(x,a)) -> f(a,f(x,f(f(a,a),a))) Problem 1: SCC Processor: -> Pairs: F(a,f(x,a)) -> F(a,f(x,f(f(a,a),a))) F(a,f(x,a)) -> F(x,f(f(a,a),a)) -> Rules: f(a,f(x,a)) -> f(a,f(x,f(f(a,a),a))) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: F(a,f(x,a)) -> F(a,f(x,f(f(a,a),a))) F(a,f(x,a)) -> F(x,f(f(a,a),a)) ->->-> Rules: f(a,f(x,a)) -> f(a,f(x,f(f(a,a),a))) Problem 1: Reduction Pairs Processor: -> Pairs: F(a,f(x,a)) -> F(a,f(x,f(f(a,a),a))) F(a,f(x,a)) -> F(x,f(f(a,a),a)) -> Rules: f(a,f(x,a)) -> f(a,f(x,f(f(a,a),a))) -> Usable rules: f(a,f(x,a)) -> f(a,f(x,f(f(a,a),a))) ->Interpretation type: Linear ->Coefficients: All rationals ->Dimension: 1 ->Bound: 2 ->Interpretation: [f](X1,X2) = 1/2.X2 [a] = 2 [F](X1,X2) = 2.X2 Problem 1: SCC Processor: -> Pairs: F(a,f(x,a)) -> F(x,f(f(a,a),a)) -> Rules: f(a,f(x,a)) -> f(a,f(x,f(f(a,a),a))) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: F(a,f(x,a)) -> F(x,f(f(a,a),a)) ->->-> Rules: f(a,f(x,a)) -> f(a,f(x,f(f(a,a),a))) Problem 1: Reduction Pairs Processor: -> Pairs: F(a,f(x,a)) -> F(x,f(f(a,a),a)) -> Rules: f(a,f(x,a)) -> f(a,f(x,f(f(a,a),a))) -> Usable rules: f(a,f(x,a)) -> f(a,f(x,f(f(a,a),a))) ->Interpretation type: Linear ->Coefficients: All rationals ->Dimension:
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