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TRS Innermost pair #487092926
details
property
value
status
complete
benchmark
#4.15.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
Applicative_AG01_innermost
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.0342579 seconds
cpu usage
0.034806
user time
0.02094
system time
0.013866
max virtual memory
113188.0
max residence set size
8308.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR v_NonEmpty:S fun:S x:S xs:S y:S z:S) (RULES app(app(app(app(f,0),1),app(app(g,x:S),y:S)),z:S) -> app(app(app(app(f,app(app(g,x:S),y:S)),app(app(g,x:S),y:S)),app(app(g,x:S),y:S)),app(h,x:S)) app(app(app(app(filter2,ffalse),fun:S),x:S),xs:S) -> app(app(filter,fun:S),xs:S) app(app(app(app(filter2,ttrue),fun:S),x:S),xs:S) -> app(app(cons,x:S),app(app(filter,fun:S),xs:S)) app(app(filter,fun:S),app(app(cons,x:S),xs:S)) -> app(app(app(app(filter2,app(fun:S,x:S)),fun:S),x:S),xs:S) app(app(filter,fun:S),nil) -> nil app(app(g,0),1) -> 0 app(app(g,0),1) -> 1 app(app(map,fun:S),app(app(cons,x:S),xs:S)) -> app(app(cons,app(fun:S,x:S)),app(app(map,fun:S),xs:S)) app(app(map,fun:S),nil) -> nil app(h,app(app(g,x:S),y:S)) -> app(h,x:S) ) (STRATEGY INNERMOST) Problem 1: Dependency Pairs Processor: -> Pairs: APP(app(app(app(f,0),1),app(app(g,x:S),y:S)),z:S) -> APP(app(app(app(f,app(app(g,x:S),y:S)),app(app(g,x:S),y:S)),app(app(g,x:S),y:S)),app(h,x:S)) APP(app(app(app(f,0),1),app(app(g,x:S),y:S)),z:S) -> APP(app(app(f,app(app(g,x:S),y:S)),app(app(g,x:S),y:S)),app(app(g,x:S),y:S)) APP(app(app(app(f,0),1),app(app(g,x:S),y:S)),z:S) -> APP(app(f,app(app(g,x:S),y:S)),app(app(g,x:S),y:S)) APP(app(app(app(f,0),1),app(app(g,x:S),y:S)),z:S) -> APP(f,app(app(g,x:S),y:S)) APP(app(app(app(f,0),1),app(app(g,x:S),y:S)),z:S) -> APP(h,x:S) APP(app(app(app(filter2,ffalse),fun:S),x:S),xs:S) -> APP(app(filter,fun:S),xs:S) APP(app(app(app(filter2,ttrue),fun:S),x:S),xs:S) -> APP(app(cons,x:S),app(app(filter,fun:S),xs:S)) APP(app(app(app(filter2,ttrue),fun:S),x:S),xs:S) -> APP(app(filter,fun:S),xs:S) APP(app(filter,fun:S),app(app(cons,x:S),xs:S)) -> APP(app(app(app(filter2,app(fun:S,x:S)),fun:S),x:S),xs:S) APP(app(filter,fun:S),app(app(cons,x:S),xs:S)) -> APP(app(app(filter2,app(fun:S,x:S)),fun:S),x:S) APP(app(filter,fun:S),app(app(cons,x:S),xs:S)) -> APP(app(filter2,app(fun:S,x:S)),fun:S) APP(app(filter,fun:S),app(app(cons,x:S),xs:S)) -> APP(filter2,app(fun:S,x:S)) APP(app(filter,fun:S),app(app(cons,x:S),xs:S)) -> APP(fun:S,x:S) APP(app(map,fun:S),app(app(cons,x:S),xs:S)) -> APP(app(cons,app(fun:S,x:S)),app(app(map,fun:S),xs:S)) APP(app(map,fun:S),app(app(cons,x:S),xs:S)) -> APP(app(map,fun:S),xs:S) APP(app(map,fun:S),app(app(cons,x:S),xs:S)) -> APP(cons,app(fun:S,x:S)) APP(app(map,fun:S),app(app(cons,x:S),xs:S)) -> APP(fun:S,x:S) APP(h,app(app(g,x:S),y:S)) -> APP(h,x:S) -> Rules: app(app(app(app(f,0),1),app(app(g,x:S),y:S)),z:S) -> app(app(app(app(f,app(app(g,x:S),y:S)),app(app(g,x:S),y:S)),app(app(g,x:S),y:S)),app(h,x:S)) app(app(app(app(filter2,ffalse),fun:S),x:S),xs:S) -> app(app(filter,fun:S),xs:S) app(app(app(app(filter2,ttrue),fun:S),x:S),xs:S) -> app(app(cons,x:S),app(app(filter,fun:S),xs:S)) app(app(filter,fun:S),app(app(cons,x:S),xs:S)) -> app(app(app(app(filter2,app(fun:S,x:S)),fun:S),x:S),xs:S) app(app(filter,fun:S),nil) -> nil app(app(g,0),1) -> 0 app(app(g,0),1) -> 1 app(app(map,fun:S),app(app(cons,x:S),xs:S)) -> app(app(cons,app(fun:S,x:S)),app(app(map,fun:S),xs:S)) app(app(map,fun:S),nil) -> nil app(h,app(app(g,x:S),y:S)) -> app(h,x:S) Problem 1: SCC Processor: -> Pairs: APP(app(app(app(f,0),1),app(app(g,x:S),y:S)),z:S) -> APP(app(app(app(f,app(app(g,x:S),y:S)),app(app(g,x:S),y:S)),app(app(g,x:S),y:S)),app(h,x:S)) APP(app(app(app(f,0),1),app(app(g,x:S),y:S)),z:S) -> APP(app(app(f,app(app(g,x:S),y:S)),app(app(g,x:S),y:S)),app(app(g,x:S),y:S)) APP(app(app(app(f,0),1),app(app(g,x:S),y:S)),z:S) -> APP(app(f,app(app(g,x:S),y:S)),app(app(g,x:S),y:S)) APP(app(app(app(f,0),1),app(app(g,x:S),y:S)),z:S) -> APP(f,app(app(g,x:S),y:S)) APP(app(app(app(f,0),1),app(app(g,x:S),y:S)),z:S) -> APP(h,x:S) APP(app(app(app(filter2,ffalse),fun:S),x:S),xs:S) -> APP(app(filter,fun:S),xs:S) APP(app(app(app(filter2,ttrue),fun:S),x:S),xs:S) -> APP(app(cons,x:S),app(app(filter,fun:S),xs:S)) APP(app(app(app(filter2,ttrue),fun:S),x:S),xs:S) -> APP(app(filter,fun:S),xs:S) APP(app(filter,fun:S),app(app(cons,x:S),xs:S)) -> APP(app(app(app(filter2,app(fun:S,x:S)),fun:S),x:S),xs:S) APP(app(filter,fun:S),app(app(cons,x:S),xs:S)) -> APP(app(app(filter2,app(fun:S,x:S)),fun:S),x:S) APP(app(filter,fun:S),app(app(cons,x:S),xs:S)) -> APP(app(filter2,app(fun:S,x:S)),fun:S) APP(app(filter,fun:S),app(app(cons,x:S),xs:S)) -> APP(filter2,app(fun:S,x:S)) APP(app(filter,fun:S),app(app(cons,x:S),xs:S)) -> APP(fun:S,x:S) APP(app(map,fun:S),app(app(cons,x:S),xs:S)) -> APP(app(cons,app(fun:S,x:S)),app(app(map,fun:S),xs:S)) APP(app(map,fun:S),app(app(cons,x:S),xs:S)) -> APP(app(map,fun:S),xs:S) APP(app(map,fun:S),app(app(cons,x:S),xs:S)) -> APP(cons,app(fun:S,x:S)) APP(app(map,fun:S),app(app(cons,x:S),xs:S)) -> APP(fun:S,x:S) APP(h,app(app(g,x:S),y:S)) -> APP(h,x:S) -> Rules: app(app(app(app(f,0),1),app(app(g,x:S),y:S)),z:S) -> app(app(app(app(f,app(app(g,x:S),y:S)),app(app(g,x:S),y:S)),app(app(g,x:S),y:S)),app(h,x:S)) app(app(app(app(filter2,ffalse),fun:S),x:S),xs:S) -> app(app(filter,fun:S),xs:S) app(app(app(app(filter2,ttrue),fun:S),x:S),xs:S) -> app(app(cons,x:S),app(app(filter,fun:S),xs:S)) app(app(filter,fun:S),app(app(cons,x:S),xs:S)) -> app(app(app(app(filter2,app(fun:S,x:S)),fun:S),x:S),xs:S) app(app(filter,fun:S),nil) -> nil app(app(g,0),1) -> 0 app(app(g,0),1) -> 1 app(app(map,fun:S),app(app(cons,x:S),xs:S)) -> app(app(cons,app(fun:S,x:S)),app(app(map,fun:S),xs:S)) app(app(map,fun:S),nil) -> nil app(h,app(app(g,x:S),y:S)) -> app(h,x:S) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: APP(h,app(app(g,x:S),y:S)) -> APP(h,x:S) ->->-> Rules: app(app(app(app(f,0),1),app(app(g,x:S),y:S)),z:S) -> app(app(app(app(f,app(app(g,x:S),y:S)),app(app(g,x:S),y:S)),app(app(g,x:S),y:S)),app(h,x:S)) app(app(app(app(filter2,ffalse),fun:S),x:S),xs:S) -> app(app(filter,fun:S),xs:S) app(app(app(app(filter2,ttrue),fun:S),x:S),xs:S) -> app(app(cons,x:S),app(app(filter,fun:S),xs:S)) app(app(filter,fun:S),app(app(cons,x:S),xs:S)) -> app(app(app(app(filter2,app(fun:S,x:S)),fun:S),x:S),xs:S) app(app(filter,fun:S),nil) -> nil app(app(g,0),1) -> 0 app(app(g,0),1) -> 1 app(app(map,fun:S),app(app(cons,x:S),xs:S)) -> app(app(cons,app(fun:S,x:S)),app(app(map,fun:S),xs:S)) app(app(map,fun:S),nil) -> nil
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