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TRS Standard pair #516967306
details
property
value
status
complete
benchmark
TakeDropWhile.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n174.star.cs.uiowa.edu
space
Applicative_05
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.0893201828003 seconds
cpu usage
0.02459794
max memory
2244608.0
stage attributes
key
value
output-size
9473
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 v_NonEmpty:S p:S x:S xs:S y:S) (RULES app(app(app(if,ttrue),x:S),y:S) -> x:S app(app(app(if,ttrue),x:S),y:S) -> y:S app(app(dropWhile,p:S),app(app(cons,x:S),xs:S)) -> app(app(app(if,app(p:S,x:S)),app(app(dropWhile,p:S),xs:S)),app(app(cons,x:S),xs:S)) app(app(dropWhile,p:S),nil) -> nil app(app(takeWhile,p:S),app(app(cons,x:S),xs:S)) -> app(app(app(if,app(p:S,x:S)),app(app(cons,x:S),app(app(takeWhile,p:S),xs:S))),nil) app(app(takeWhile,p:S),nil) -> nil ) Problem 1: Dependency Pairs Processor: -> Pairs: APP(app(dropWhile,p:S),app(app(cons,x:S),xs:S)) -> APP(app(app(if,app(p:S,x:S)),app(app(dropWhile,p:S),xs:S)),app(app(cons,x:S),xs:S)) APP(app(dropWhile,p:S),app(app(cons,x:S),xs:S)) -> APP(app(dropWhile,p:S),xs:S) APP(app(dropWhile,p:S),app(app(cons,x:S),xs:S)) -> APP(app(if,app(p:S,x:S)),app(app(dropWhile,p:S),xs:S)) APP(app(dropWhile,p:S),app(app(cons,x:S),xs:S)) -> APP(if,app(p:S,x:S)) APP(app(dropWhile,p:S),app(app(cons,x:S),xs:S)) -> APP(p:S,x:S) APP(app(takeWhile,p:S),app(app(cons,x:S),xs:S)) -> APP(app(app(if,app(p:S,x:S)),app(app(cons,x:S),app(app(takeWhile,p:S),xs:S))),nil) APP(app(takeWhile,p:S),app(app(cons,x:S),xs:S)) -> APP(app(cons,x:S),app(app(takeWhile,p:S),xs:S)) APP(app(takeWhile,p:S),app(app(cons,x:S),xs:S)) -> APP(app(if,app(p:S,x:S)),app(app(cons,x:S),app(app(takeWhile,p:S),xs:S))) APP(app(takeWhile,p:S),app(app(cons,x:S),xs:S)) -> APP(app(takeWhile,p:S),xs:S) APP(app(takeWhile,p:S),app(app(cons,x:S),xs:S)) -> APP(if,app(p:S,x:S)) APP(app(takeWhile,p:S),app(app(cons,x:S),xs:S)) -> APP(p:S,x:S) -> Rules: app(app(app(if,ttrue),x:S),y:S) -> x:S app(app(app(if,ttrue),x:S),y:S) -> y:S app(app(dropWhile,p:S),app(app(cons,x:S),xs:S)) -> app(app(app(if,app(p:S,x:S)),app(app(dropWhile,p:S),xs:S)),app(app(cons,x:S),xs:S)) app(app(dropWhile,p:S),nil) -> nil app(app(takeWhile,p:S),app(app(cons,x:S),xs:S)) -> app(app(app(if,app(p:S,x:S)),app(app(cons,x:S),app(app(takeWhile,p:S),xs:S))),nil) app(app(takeWhile,p:S),nil) -> nil Problem 1: SCC Processor: -> Pairs: APP(app(dropWhile,p:S),app(app(cons,x:S),xs:S)) -> APP(app(app(if,app(p:S,x:S)),app(app(dropWhile,p:S),xs:S)),app(app(cons,x:S),xs:S)) APP(app(dropWhile,p:S),app(app(cons,x:S),xs:S)) -> APP(app(dropWhile,p:S),xs:S) APP(app(dropWhile,p:S),app(app(cons,x:S),xs:S)) -> APP(app(if,app(p:S,x:S)),app(app(dropWhile,p:S),xs:S)) APP(app(dropWhile,p:S),app(app(cons,x:S),xs:S)) -> APP(if,app(p:S,x:S)) APP(app(dropWhile,p:S),app(app(cons,x:S),xs:S)) -> APP(p:S,x:S) APP(app(takeWhile,p:S),app(app(cons,x:S),xs:S)) -> APP(app(app(if,app(p:S,x:S)),app(app(cons,x:S),app(app(takeWhile,p:S),xs:S))),nil) APP(app(takeWhile,p:S),app(app(cons,x:S),xs:S)) -> APP(app(cons,x:S),app(app(takeWhile,p:S),xs:S)) APP(app(takeWhile,p:S),app(app(cons,x:S),xs:S)) -> APP(app(if,app(p:S,x:S)),app(app(cons,x:S),app(app(takeWhile,p:S),xs:S))) APP(app(takeWhile,p:S),app(app(cons,x:S),xs:S)) -> APP(app(takeWhile,p:S),xs:S) APP(app(takeWhile,p:S),app(app(cons,x:S),xs:S)) -> APP(if,app(p:S,x:S)) APP(app(takeWhile,p:S),app(app(cons,x:S),xs:S)) -> APP(p:S,x:S) -> Rules: app(app(app(if,ttrue),x:S),y:S) -> x:S app(app(app(if,ttrue),x:S),y:S) -> y:S app(app(dropWhile,p:S),app(app(cons,x:S),xs:S)) -> app(app(app(if,app(p:S,x:S)),app(app(dropWhile,p:S),xs:S)),app(app(cons,x:S),xs:S)) app(app(dropWhile,p:S),nil) -> nil app(app(takeWhile,p:S),app(app(cons,x:S),xs:S)) -> app(app(app(if,app(p:S,x:S)),app(app(cons,x:S),app(app(takeWhile,p:S),xs:S))),nil) app(app(takeWhile,p:S),nil) -> nil ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: APP(app(dropWhile,p:S),app(app(cons,x:S),xs:S)) -> APP(app(dropWhile,p:S),xs:S) APP(app(dropWhile,p:S),app(app(cons,x:S),xs:S)) -> APP(p:S,x:S) APP(app(takeWhile,p:S),app(app(cons,x:S),xs:S)) -> APP(app(takeWhile,p:S),xs:S) APP(app(takeWhile,p:S),app(app(cons,x:S),xs:S)) -> APP(p:S,x:S) ->->-> Rules: app(app(app(if,ttrue),x:S),y:S) -> x:S app(app(app(if,ttrue),x:S),y:S) -> y:S app(app(dropWhile,p:S),app(app(cons,x:S),xs:S)) -> app(app(app(if,app(p:S,x:S)),app(app(dropWhile,p:S),xs:S)),app(app(cons,x:S),xs:S)) app(app(dropWhile,p:S),nil) -> nil app(app(takeWhile,p:S),app(app(cons,x:S),xs:S)) -> app(app(app(if,app(p:S,x:S)),app(app(cons,x:S),app(app(takeWhile,p:S),xs:S))),nil) app(app(takeWhile,p:S),nil) -> nil Problem 1: Subterm Processor: -> Pairs: APP(app(dropWhile,p:S),app(app(cons,x:S),xs:S)) -> APP(app(dropWhile,p:S),xs:S) APP(app(dropWhile,p:S),app(app(cons,x:S),xs:S)) -> APP(p:S,x:S) APP(app(takeWhile,p:S),app(app(cons,x:S),xs:S)) -> APP(app(takeWhile,p:S),xs:S) APP(app(takeWhile,p:S),app(app(cons,x:S),xs:S)) -> APP(p:S,x:S) -> Rules: app(app(app(if,ttrue),x:S),y:S) -> x:S app(app(app(if,ttrue),x:S),y:S) -> y:S app(app(dropWhile,p:S),app(app(cons,x:S),xs:S)) -> app(app(app(if,app(p:S,x:S)),app(app(dropWhile,p:S),xs:S)),app(app(cons,x:S),xs:S)) app(app(dropWhile,p:S),nil) -> nil app(app(takeWhile,p:S),app(app(cons,x:S),xs:S)) -> app(app(app(if,app(p:S,x:S)),app(app(cons,x:S),app(app(takeWhile,p:S),xs:S))),nil) app(app(takeWhile,p:S),nil) -> nil ->Projection: pi(APP) = 1 Problem 1:
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