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TRS Standard pair #516964981
details
property
value
status
complete
benchmark
002.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n081.star.cs.uiowa.edu
space
AotoYamada_05
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.099622964859 seconds
cpu usage
0.022735168
max memory
1867776.0
stage attributes
key
value
output-size
5407
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 y:S ys:S) (RULES app(app(app(filtersub,ffalse),f:S),app(app(cons,y:S),ys:S)) -> app(app(filter,f:S),ys:S) app(app(app(filtersub,ttrue),f:S),app(app(cons,y:S),ys:S)) -> app(app(cons,y:S),app(app(filter,f:S),ys:S)) app(app(filter,f:S),app(app(cons,y:S),ys:S)) -> app(app(app(filtersub,app(f:S,y:S)),f:S),app(app(cons,y:S),ys:S)) app(app(filter,f:S),nil) -> nil ) Problem 1: Innermost Equivalent Processor: -> Rules: app(app(app(filtersub,ffalse),f:S),app(app(cons,y:S),ys:S)) -> app(app(filter,f:S),ys:S) app(app(app(filtersub,ttrue),f:S),app(app(cons,y:S),ys:S)) -> app(app(cons,y:S),app(app(filter,f:S),ys:S)) app(app(filter,f:S),app(app(cons,y:S),ys:S)) -> app(app(app(filtersub,app(f:S,y:S)),f:S),app(app(cons,y:S),ys:S)) app(app(filter,f:S),nil) -> nil -> 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(filtersub,ffalse),f:S),app(app(cons,y:S),ys:S)) -> APP(app(filter,f:S),ys:S) APP(app(app(filtersub,ttrue),f:S),app(app(cons,y:S),ys:S)) -> APP(app(cons,y:S),app(app(filter,f:S),ys:S)) APP(app(app(filtersub,ttrue),f:S),app(app(cons,y:S),ys:S)) -> APP(app(filter,f:S),ys:S) APP(app(filter,f:S),app(app(cons,y:S),ys:S)) -> APP(app(app(filtersub,app(f:S,y:S)),f:S),app(app(cons,y:S),ys:S)) APP(app(filter,f:S),app(app(cons,y:S),ys:S)) -> APP(app(filtersub,app(f:S,y:S)),f:S) APP(app(filter,f:S),app(app(cons,y:S),ys:S)) -> APP(filtersub,app(f:S,y:S)) APP(app(filter,f:S),app(app(cons,y:S),ys:S)) -> APP(f:S,y:S) -> Rules: app(app(app(filtersub,ffalse),f:S),app(app(cons,y:S),ys:S)) -> app(app(filter,f:S),ys:S) app(app(app(filtersub,ttrue),f:S),app(app(cons,y:S),ys:S)) -> app(app(cons,y:S),app(app(filter,f:S),ys:S)) app(app(filter,f:S),app(app(cons,y:S),ys:S)) -> app(app(app(filtersub,app(f:S,y:S)),f:S),app(app(cons,y:S),ys:S)) app(app(filter,f:S),nil) -> nil Problem 1: SCC Processor: -> Pairs: APP(app(app(filtersub,ffalse),f:S),app(app(cons,y:S),ys:S)) -> APP(app(filter,f:S),ys:S) APP(app(app(filtersub,ttrue),f:S),app(app(cons,y:S),ys:S)) -> APP(app(cons,y:S),app(app(filter,f:S),ys:S)) APP(app(app(filtersub,ttrue),f:S),app(app(cons,y:S),ys:S)) -> APP(app(filter,f:S),ys:S) APP(app(filter,f:S),app(app(cons,y:S),ys:S)) -> APP(app(app(filtersub,app(f:S,y:S)),f:S),app(app(cons,y:S),ys:S)) APP(app(filter,f:S),app(app(cons,y:S),ys:S)) -> APP(app(filtersub,app(f:S,y:S)),f:S) APP(app(filter,f:S),app(app(cons,y:S),ys:S)) -> APP(filtersub,app(f:S,y:S)) APP(app(filter,f:S),app(app(cons,y:S),ys:S)) -> APP(f:S,y:S) -> Rules: app(app(app(filtersub,ffalse),f:S),app(app(cons,y:S),ys:S)) -> app(app(filter,f:S),ys:S) app(app(app(filtersub,ttrue),f:S),app(app(cons,y:S),ys:S)) -> app(app(cons,y:S),app(app(filter,f:S),ys:S)) app(app(filter,f:S),app(app(cons,y:S),ys:S)) -> app(app(app(filtersub,app(f:S,y:S)),f:S),app(app(cons,y:S),ys:S)) app(app(filter,f:S),nil) -> nil ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: APP(app(app(filtersub,ffalse),f:S),app(app(cons,y:S),ys:S)) -> APP(app(filter,f:S),ys:S) APP(app(app(filtersub,ttrue),f:S),app(app(cons,y:S),ys:S)) -> APP(app(filter,f:S),ys:S) APP(app(filter,f:S),app(app(cons,y:S),ys:S)) -> APP(app(app(filtersub,app(f:S,y:S)),f:S),app(app(cons,y:S),ys:S)) APP(app(filter,f:S),app(app(cons,y:S),ys:S)) -> APP(f:S,y:S) ->->-> Rules: app(app(app(filtersub,ffalse),f:S),app(app(cons,y:S),ys:S)) -> app(app(filter,f:S),ys:S) app(app(app(filtersub,ttrue),f:S),app(app(cons,y:S),ys:S)) -> app(app(cons,y:S),app(app(filter,f:S),ys:S)) app(app(filter,f:S),app(app(cons,y:S),ys:S)) -> app(app(app(filtersub,app(f:S,y:S)),f:S),app(app(cons,y:S),ys:S)) app(app(filter,f:S),nil) -> nil Problem 1: Subterm Processor: -> Pairs: APP(app(app(filtersub,ffalse),f:S),app(app(cons,y:S),ys:S)) -> APP(app(filter,f:S),ys:S) APP(app(app(filtersub,ttrue),f:S),app(app(cons,y:S),ys:S)) -> APP(app(filter,f:S),ys:S) APP(app(filter,f:S),app(app(cons,y:S),ys:S)) -> APP(app(app(filtersub,app(f:S,y:S)),f:S),app(app(cons,y:S),ys:S)) APP(app(filter,f:S),app(app(cons,y:S),ys:S)) -> APP(f:S,y:S) -> Rules: app(app(app(filtersub,ffalse),f:S),app(app(cons,y:S),ys:S)) -> app(app(filter,f:S),ys:S) app(app(app(filtersub,ttrue),f:S),app(app(cons,y:S),ys:S)) -> app(app(cons,y:S),app(app(filter,f:S),ys:S)) app(app(filter,f:S),app(app(cons,y:S),ys:S)) -> app(app(app(filtersub,app(f:S,y:S)),f:S),app(app(cons,y:S),ys:S)) app(app(filter,f:S),nil) -> nil ->Projection: pi(APP) = 2 Problem 1: SCC Processor: -> Pairs: APP(app(filter,f:S),app(app(cons,y:S),ys:S)) -> APP(app(app(filtersub,app(f:S,y:S)),f:S),app(app(cons,y:S),ys:S)) -> Rules: app(app(app(filtersub,ffalse),f:S),app(app(cons,y:S),ys:S)) -> app(app(filter,f:S),ys:S) app(app(app(filtersub,ttrue),f:S),app(app(cons,y:S),ys:S)) -> app(app(cons,y:S),app(app(filter,f:S),ys:S)) app(app(filter,f:S),app(app(cons,y:S),ys:S)) -> app(app(app(filtersub,app(f:S,y:S)),f:S),app(app(cons,y:S),ys:S))
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