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TRS Standard pair #516965086
details
property
value
status
complete
benchmark
017.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
AotoYamada_05
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.11394405365 seconds
cpu usage
0.038146184
max memory
3022848.0
stage attributes
key
value
output-size
2588
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 f:S x:S y:S) (RULES app(app(app(uncurry,f:S),x:S),y:S) -> app(app(f:S,x:S),y:S) ) Problem 1: Innermost Equivalent Processor: -> Rules: app(app(app(uncurry,f:S),x:S),y:S) -> app(app(f:S,x:S),y:S) -> The term rewriting system is non-overlaping or locally confluent overlay system. Therefore, innermost termination implies termination. Problem 1: Dependency Pairs Processor: -> Pairs: APP(app(app(uncurry,f:S),x:S),y:S) -> APP(app(f:S,x:S),y:S) APP(app(app(uncurry,f:S),x:S),y:S) -> APP(f:S,x:S) -> Rules: app(app(app(uncurry,f:S),x:S),y:S) -> app(app(f:S,x:S),y:S) Problem 1: SCC Processor: -> Pairs: APP(app(app(uncurry,f:S),x:S),y:S) -> APP(app(f:S,x:S),y:S) APP(app(app(uncurry,f:S),x:S),y:S) -> APP(f:S,x:S) -> Rules: app(app(app(uncurry,f:S),x:S),y:S) -> app(app(f:S,x:S),y:S) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: APP(app(app(uncurry,f:S),x:S),y:S) -> APP(app(f:S,x:S),y:S) APP(app(app(uncurry,f:S),x:S),y:S) -> APP(f:S,x:S) ->->-> Rules: app(app(app(uncurry,f:S),x:S),y:S) -> app(app(f:S,x:S),y:S) Problem 1: Reduction Pairs Processor: -> Pairs: APP(app(app(uncurry,f:S),x:S),y:S) -> APP(app(f:S,x:S),y:S) APP(app(app(uncurry,f:S),x:S),y:S) -> APP(f:S,x:S) -> Rules: app(app(app(uncurry,f:S),x:S),y:S) -> app(app(f:S,x:S),y:S) -> Usable rules: app(app(app(uncurry,f:S),x:S),y:S) -> app(app(f:S,x:S),y:S) ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 1 ->Bound: 2 ->Interpretation: [app](X1,X2) = X1 + 2.X2 + 2 [fSNonEmpty] = 0 [uncurry] = 2 [APP](X1,X2) = X1 + 2.X2 Problem 1: SCC Processor: -> Pairs: APP(app(app(uncurry,f:S),x:S),y:S) -> APP(f:S,x:S) -> Rules: app(app(app(uncurry,f:S),x:S),y:S) -> app(app(f:S,x:S),y:S) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: APP(app(app(uncurry,f:S),x:S),y:S) -> APP(f:S,x:S) ->->-> Rules: app(app(app(uncurry,f:S),x:S),y:S) -> app(app(f:S,x:S),y:S) Problem 1: Subterm Processor: -> Pairs: APP(app(app(uncurry,f:S),x:S),y:S) -> APP(f:S,x:S) -> Rules: app(app(app(uncurry,f:S),x:S),y:S) -> app(app(f:S,x:S),y:S) ->Projection: pi(APP) = 1 Problem 1: SCC Processor:
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