details

property	value
status	complete
benchmark	2.31.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n190.star.cs.uiowa.edu
space	SK90

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.0279151 seconds
cpu usage	0.017672
user time	0.009191
system time	0.008481
max virtual memory	0.0
max residence set size	4404.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR v_NonEmpty:S x:S y:S) (RULES +(s(x:S),y:S) -> s(+(x:S,y:S)) +(x:S,0) -> x:S +(x:S,s(y:S)) -> s(+(x:S,y:S)) not(ffalse) -> ttrue not(ttrue) -> ffalse odd(0) -> ffalse odd(s(x:S)) -> not(odd(x:S)) ) Problem 1: Dependency Pairs Processor: -> Pairs: +#(s(x:S),y:S) -> +#(x:S,y:S) +#(x:S,s(y:S)) -> +#(x:S,y:S) ODD(s(x:S)) -> NOT(odd(x:S)) ODD(s(x:S)) -> ODD(x:S) -> Rules: +(s(x:S),y:S) -> s(+(x:S,y:S)) +(x:S,0) -> x:S +(x:S,s(y:S)) -> s(+(x:S,y:S)) not(ffalse) -> ttrue not(ttrue) -> ffalse odd(0) -> ffalse odd(s(x:S)) -> not(odd(x:S)) Problem 1: SCC Processor: -> Pairs: +#(s(x:S),y:S) -> +#(x:S,y:S) +#(x:S,s(y:S)) -> +#(x:S,y:S) ODD(s(x:S)) -> NOT(odd(x:S)) ODD(s(x:S)) -> ODD(x:S) -> Rules: +(s(x:S),y:S) -> s(+(x:S,y:S)) +(x:S,0) -> x:S +(x:S,s(y:S)) -> s(+(x:S,y:S)) not(ffalse) -> ttrue not(ttrue) -> ffalse odd(0) -> ffalse odd(s(x:S)) -> not(odd(x:S)) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: ODD(s(x:S)) -> ODD(x:S) ->->-> Rules: +(s(x:S),y:S) -> s(+(x:S,y:S)) +(x:S,0) -> x:S +(x:S,s(y:S)) -> s(+(x:S,y:S)) not(ffalse) -> ttrue not(ttrue) -> ffalse odd(0) -> ffalse odd(s(x:S)) -> not(odd(x:S)) ->->Cycle: ->->-> Pairs: +#(s(x:S),y:S) -> +#(x:S,y:S) +#(x:S,s(y:S)) -> +#(x:S,y:S) ->->-> Rules: +(s(x:S),y:S) -> s(+(x:S,y:S)) +(x:S,0) -> x:S +(x:S,s(y:S)) -> s(+(x:S,y:S)) not(ffalse) -> ttrue not(ttrue) -> ffalse odd(0) -> ffalse odd(s(x:S)) -> not(odd(x:S)) The problem is decomposed in 2 subproblems. Problem 1.1: Subterm Processor: -> Pairs: ODD(s(x:S)) -> ODD(x:S) -> Rules: +(s(x:S),y:S) -> s(+(x:S,y:S)) +(x:S,0) -> x:S +(x:S,s(y:S)) -> s(+(x:S,y:S)) not(ffalse) -> ttrue not(ttrue) -> ffalse odd(0) -> ffalse odd(s(x:S)) -> not(odd(x:S)) ->Projection: pi(ODD) = 1 Problem 1.1: SCC Processor: -> Pairs: Empty -> Rules: +(s(x:S),y:S) -> s(+(x:S,y:S)) +(x:S,0) -> x:S popout

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