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TRS Innermost pair #487523936
details
property
value
status
complete
benchmark
#4.24.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n053.star.cs.uiowa.edu
space
Applicative_AG01_innermost
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.0923600196838 seconds
cpu usage
0.037585664
max memory
2801664.0
stage attributes
key
value
output-size
14941
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 xs:S y:S) (RULES app(app(app(app(filter2,ffalse),f:S),x:S),xs:S) -> app(app(filter,f:S),xs:S) app(app(app(app(filter2,ttrue),f:S),x:S),xs:S) -> app(app(cons,x:S),app(app(filter,f:S),xs:S)) app(app(filter,f:S),app(app(cons,x:S),xs:S)) -> app(app(app(app(filter2,app(f:S,x:S)),f:S),x:S),xs:S) app(app(filter,f:S),nil) -> nil app(app(int,app(s,x:S)),app(s,y:S)) -> app(intlist,app(app(int,x:S),y:S)) app(app(int,app(s,x:S)),0) -> nil app(app(int,0),app(s,y:S)) -> app(app(cons,0),app(app(int,app(s,0)),app(s,y:S))) app(app(int,0),0) -> app(app(cons,0),nil) app(app(map,f:S),app(app(cons,x:S),xs:S)) -> app(app(cons,app(f:S,x:S)),app(app(map,f:S),xs:S)) app(app(map,f:S),nil) -> nil app(intlist,app(app(cons,x:S),y:S)) -> app(app(cons,app(s,x:S)),app(intlist,y:S)) app(intlist,nil) -> nil ) (STRATEGY INNERMOST) Problem 1: Dependency Pairs Processor: -> Pairs: APP(app(app(app(filter2,ffalse),f:S),x:S),xs:S) -> APP(app(filter,f:S),xs:S) APP(app(app(app(filter2,ttrue),f:S),x:S),xs:S) -> APP(app(cons,x:S),app(app(filter,f:S),xs:S)) APP(app(app(app(filter2,ttrue),f:S),x:S),xs:S) -> APP(app(filter,f:S),xs:S) APP(app(filter,f:S),app(app(cons,x:S),xs:S)) -> APP(app(app(app(filter2,app(f:S,x:S)),f:S),x:S),xs:S) APP(app(filter,f:S),app(app(cons,x:S),xs:S)) -> APP(app(app(filter2,app(f:S,x:S)),f:S),x:S) APP(app(filter,f:S),app(app(cons,x:S),xs:S)) -> APP(app(filter2,app(f:S,x:S)),f:S) APP(app(filter,f:S),app(app(cons,x:S),xs:S)) -> APP(filter2,app(f:S,x:S)) APP(app(filter,f:S),app(app(cons,x:S),xs:S)) -> APP(f:S,x:S) APP(app(int,app(s,x:S)),app(s,y:S)) -> APP(app(int,x:S),y:S) APP(app(int,app(s,x:S)),app(s,y:S)) -> APP(intlist,app(app(int,x:S),y:S)) APP(app(int,0),app(s,y:S)) -> APP(app(cons,0),app(app(int,app(s,0)),app(s,y:S))) APP(app(int,0),app(s,y:S)) -> APP(app(int,app(s,0)),app(s,y:S)) APP(app(map,f:S),app(app(cons,x:S),xs:S)) -> APP(app(cons,app(f:S,x:S)),app(app(map,f:S),xs:S)) APP(app(map,f:S),app(app(cons,x:S),xs:S)) -> APP(app(map,f:S),xs:S) APP(app(map,f:S),app(app(cons,x:S),xs:S)) -> APP(cons,app(f:S,x:S)) APP(app(map,f:S),app(app(cons,x:S),xs:S)) -> APP(f:S,x:S) APP(intlist,app(app(cons,x:S),y:S)) -> APP(app(cons,app(s,x:S)),app(intlist,y:S)) APP(intlist,app(app(cons,x:S),y:S)) -> APP(intlist,y:S) -> Rules: app(app(app(app(filter2,ffalse),f:S),x:S),xs:S) -> app(app(filter,f:S),xs:S) app(app(app(app(filter2,ttrue),f:S),x:S),xs:S) -> app(app(cons,x:S),app(app(filter,f:S),xs:S)) app(app(filter,f:S),app(app(cons,x:S),xs:S)) -> app(app(app(app(filter2,app(f:S,x:S)),f:S),x:S),xs:S) app(app(filter,f:S),nil) -> nil app(app(int,app(s,x:S)),app(s,y:S)) -> app(intlist,app(app(int,x:S),y:S)) app(app(int,app(s,x:S)),0) -> nil app(app(int,0),app(s,y:S)) -> app(app(cons,0),app(app(int,app(s,0)),app(s,y:S))) app(app(int,0),0) -> app(app(cons,0),nil) app(app(map,f:S),app(app(cons,x:S),xs:S)) -> app(app(cons,app(f:S,x:S)),app(app(map,f:S),xs:S)) app(app(map,f:S),nil) -> nil app(intlist,app(app(cons,x:S),y:S)) -> app(app(cons,app(s,x:S)),app(intlist,y:S)) app(intlist,nil) -> nil Problem 1: SCC Processor: -> Pairs: APP(app(app(app(filter2,ffalse),f:S),x:S),xs:S) -> APP(app(filter,f:S),xs:S) APP(app(app(app(filter2,ttrue),f:S),x:S),xs:S) -> APP(app(cons,x:S),app(app(filter,f:S),xs:S)) APP(app(app(app(filter2,ttrue),f:S),x:S),xs:S) -> APP(app(filter,f:S),xs:S) APP(app(filter,f:S),app(app(cons,x:S),xs:S)) -> APP(app(app(app(filter2,app(f:S,x:S)),f:S),x:S),xs:S) APP(app(filter,f:S),app(app(cons,x:S),xs:S)) -> APP(app(app(filter2,app(f:S,x:S)),f:S),x:S) APP(app(filter,f:S),app(app(cons,x:S),xs:S)) -> APP(app(filter2,app(f:S,x:S)),f:S) APP(app(filter,f:S),app(app(cons,x:S),xs:S)) -> APP(filter2,app(f:S,x:S)) APP(app(filter,f:S),app(app(cons,x:S),xs:S)) -> APP(f:S,x:S) APP(app(int,app(s,x:S)),app(s,y:S)) -> APP(app(int,x:S),y:S) APP(app(int,app(s,x:S)),app(s,y:S)) -> APP(intlist,app(app(int,x:S),y:S)) APP(app(int,0),app(s,y:S)) -> APP(app(cons,0),app(app(int,app(s,0)),app(s,y:S))) APP(app(int,0),app(s,y:S)) -> APP(app(int,app(s,0)),app(s,y:S)) APP(app(map,f:S),app(app(cons,x:S),xs:S)) -> APP(app(cons,app(f:S,x:S)),app(app(map,f:S),xs:S)) APP(app(map,f:S),app(app(cons,x:S),xs:S)) -> APP(app(map,f:S),xs:S) APP(app(map,f:S),app(app(cons,x:S),xs:S)) -> APP(cons,app(f:S,x:S)) APP(app(map,f:S),app(app(cons,x:S),xs:S)) -> APP(f:S,x:S) APP(intlist,app(app(cons,x:S),y:S)) -> APP(app(cons,app(s,x:S)),app(intlist,y:S)) APP(intlist,app(app(cons,x:S),y:S)) -> APP(intlist,y:S) -> Rules: app(app(app(app(filter2,ffalse),f:S),x:S),xs:S) -> app(app(filter,f:S),xs:S) app(app(app(app(filter2,ttrue),f:S),x:S),xs:S) -> app(app(cons,x:S),app(app(filter,f:S),xs:S)) app(app(filter,f:S),app(app(cons,x:S),xs:S)) -> app(app(app(app(filter2,app(f:S,x:S)),f:S),x:S),xs:S) app(app(filter,f:S),nil) -> nil app(app(int,app(s,x:S)),app(s,y:S)) -> app(intlist,app(app(int,x:S),y:S)) app(app(int,app(s,x:S)),0) -> nil app(app(int,0),app(s,y:S)) -> app(app(cons,0),app(app(int,app(s,0)),app(s,y:S))) app(app(int,0),0) -> app(app(cons,0),nil) app(app(map,f:S),app(app(cons,x:S),xs:S)) -> app(app(cons,app(f:S,x:S)),app(app(map,f:S),xs:S)) app(app(map,f:S),nil) -> nil app(intlist,app(app(cons,x:S),y:S)) -> app(app(cons,app(s,x:S)),app(intlist,y:S)) app(intlist,nil) -> nil ->Strongly Connected Components: ->->Cycle:
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