details

property	value
status	complete
benchmark	22.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n042.star.cs.uiowa.edu
space	Beerendonk_07

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.221811771393 seconds
cpu usage	0.154564155
max memory	4153344.0

stage attributes

key	value
output-size	7099
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 x:S y:S) (RULES cond1(ttrue,x:S,y:S) -> cond2(gr(y:S,0),x:S,y:S) cond2(ffalse,x:S,y:S) -> cond1(gr(x:S,0),p(x:S),y:S) cond2(ttrue,x:S,y:S) -> cond2(gr(y:S,0),x:S,p(y:S)) gr(0,x:S) -> ffalse gr(s(x:S),0) -> ttrue gr(s(x:S),s(y:S)) -> gr(x:S,y:S) p(0) -> 0 p(s(x:S)) -> x:S ) Problem 1: Innermost Equivalent Processor: -> Rules: cond1(ttrue,x:S,y:S) -> cond2(gr(y:S,0),x:S,y:S) cond2(ffalse,x:S,y:S) -> cond1(gr(x:S,0),p(x:S),y:S) cond2(ttrue,x:S,y:S) -> cond2(gr(y:S,0),x:S,p(y:S)) gr(0,x:S) -> ffalse gr(s(x:S),0) -> ttrue gr(s(x:S),s(y:S)) -> gr(x:S,y:S) p(0) -> 0 p(s(x:S)) -> x:S -> The term rewriting system is non-overlaping or locally confluent overlay system. Therefore, innermost termination implies termination. Problem 1: Dependency Pairs Processor: -> Pairs: COND1(ttrue,x:S,y:S) -> COND2(gr(y:S,0),x:S,y:S) COND1(ttrue,x:S,y:S) -> GR(y:S,0) COND2(ffalse,x:S,y:S) -> COND1(gr(x:S,0),p(x:S),y:S) COND2(ffalse,x:S,y:S) -> GR(x:S,0) COND2(ffalse,x:S,y:S) -> P(x:S) COND2(ttrue,x:S,y:S) -> COND2(gr(y:S,0),x:S,p(y:S)) COND2(ttrue,x:S,y:S) -> GR(y:S,0) COND2(ttrue,x:S,y:S) -> P(y:S) GR(s(x:S),s(y:S)) -> GR(x:S,y:S) -> Rules: cond1(ttrue,x:S,y:S) -> cond2(gr(y:S,0),x:S,y:S) cond2(ffalse,x:S,y:S) -> cond1(gr(x:S,0),p(x:S),y:S) cond2(ttrue,x:S,y:S) -> cond2(gr(y:S,0),x:S,p(y:S)) gr(0,x:S) -> ffalse gr(s(x:S),0) -> ttrue gr(s(x:S),s(y:S)) -> gr(x:S,y:S) p(0) -> 0 p(s(x:S)) -> x:S Problem 1: SCC Processor: -> Pairs: COND1(ttrue,x:S,y:S) -> COND2(gr(y:S,0),x:S,y:S) COND1(ttrue,x:S,y:S) -> GR(y:S,0) COND2(ffalse,x:S,y:S) -> COND1(gr(x:S,0),p(x:S),y:S) COND2(ffalse,x:S,y:S) -> GR(x:S,0) COND2(ffalse,x:S,y:S) -> P(x:S) COND2(ttrue,x:S,y:S) -> COND2(gr(y:S,0),x:S,p(y:S)) COND2(ttrue,x:S,y:S) -> GR(y:S,0) COND2(ttrue,x:S,y:S) -> P(y:S) GR(s(x:S),s(y:S)) -> GR(x:S,y:S) -> Rules: cond1(ttrue,x:S,y:S) -> cond2(gr(y:S,0),x:S,y:S) cond2(ffalse,x:S,y:S) -> cond1(gr(x:S,0),p(x:S),y:S) cond2(ttrue,x:S,y:S) -> cond2(gr(y:S,0),x:S,p(y:S)) gr(0,x:S) -> ffalse gr(s(x:S),0) -> ttrue gr(s(x:S),s(y:S)) -> gr(x:S,y:S) p(0) -> 0 p(s(x:S)) -> x:S ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: GR(s(x:S),s(y:S)) -> GR(x:S,y:S) ->->-> Rules: cond1(ttrue,x:S,y:S) -> cond2(gr(y:S,0),x:S,y:S) cond2(ffalse,x:S,y:S) -> cond1(gr(x:S,0),p(x:S),y:S) cond2(ttrue,x:S,y:S) -> cond2(gr(y:S,0),x:S,p(y:S)) gr(0,x:S) -> ffalse gr(s(x:S),0) -> ttrue gr(s(x:S),s(y:S)) -> gr(x:S,y:S) p(0) -> 0 p(s(x:S)) -> x:S ->->Cycle: ->->-> Pairs: COND1(ttrue,x:S,y:S) -> COND2(gr(y:S,0),x:S,y:S) COND2(ffalse,x:S,y:S) -> COND1(gr(x:S,0),p(x:S),y:S) COND2(ttrue,x:S,y:S) -> COND2(gr(y:S,0),x:S,p(y:S)) popout

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actions

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