details

property	value
status	complete
benchmark	2.04.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n189.star.cs.uiowa.edu
space	SK90

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.0274731 seconds
cpu usage	0.017054
user time	0.003774
system time	0.01328
max virtual memory	0.0
max residence set size	4208.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR v_NonEmpty:S x:S y:S z:S) (RULES +(x:S,+(y:S,z:S)) -> +(+(x:S,y:S),z:S) f(+(x:S,0)) -> f(x:S) ) Problem 1: Dependency Pairs Processor: -> Pairs: +#(x:S,+(y:S,z:S)) -> +#(+(x:S,y:S),z:S) +#(x:S,+(y:S,z:S)) -> +#(x:S,y:S) F(+(x:S,0)) -> F(x:S) -> Rules: +(x:S,+(y:S,z:S)) -> +(+(x:S,y:S),z:S) f(+(x:S,0)) -> f(x:S) Problem 1: SCC Processor: -> Pairs: +#(x:S,+(y:S,z:S)) -> +#(+(x:S,y:S),z:S) +#(x:S,+(y:S,z:S)) -> +#(x:S,y:S) F(+(x:S,0)) -> F(x:S) -> Rules: +(x:S,+(y:S,z:S)) -> +(+(x:S,y:S),z:S) f(+(x:S,0)) -> f(x:S) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: F(+(x:S,0)) -> F(x:S) ->->-> Rules: +(x:S,+(y:S,z:S)) -> +(+(x:S,y:S),z:S) f(+(x:S,0)) -> f(x:S) ->->Cycle: ->->-> Pairs: +#(x:S,+(y:S,z:S)) -> +#(+(x:S,y:S),z:S) +#(x:S,+(y:S,z:S)) -> +#(x:S,y:S) ->->-> Rules: +(x:S,+(y:S,z:S)) -> +(+(x:S,y:S),z:S) f(+(x:S,0)) -> f(x:S) The problem is decomposed in 2 subproblems. Problem 1.1: Subterm Processor: -> Pairs: F(+(x:S,0)) -> F(x:S) -> Rules: +(x:S,+(y:S,z:S)) -> +(+(x:S,y:S),z:S) f(+(x:S,0)) -> f(x:S) ->Projection: pi(F) = 1 Problem 1.1: SCC Processor: -> Pairs: Empty -> Rules: +(x:S,+(y:S,z:S)) -> +(+(x:S,y:S),z:S) f(+(x:S,0)) -> f(x:S) ->Strongly Connected Components: There is no strongly connected component The problem is finite. Problem 1.2: Subterm Processor: -> Pairs: +#(x:S,+(y:S,z:S)) -> +#(+(x:S,y:S),z:S) +#(x:S,+(y:S,z:S)) -> +#(x:S,y:S) -> Rules: +(x:S,+(y:S,z:S)) -> +(+(x:S,y:S),z:S) f(+(x:S,0)) -> f(x:S) ->Projection: pi(+#) = 2 Problem 1.2: SCC Processor: -> Pairs: Empty -> Rules: +(x:S,+(y:S,z:S)) -> +(+(x:S,y:S),z:S) f(+(x:S,0)) -> f(x:S) ->Strongly Connected Components: There is no strongly connected component The problem is finite. popout

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