details

property	value
status	complete
benchmark	AC53.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n140.star.cs.uiowa.edu
space	AProVE_AC_04

run statistics

property	value
solver	muterm 5.18
configuration	default
runtime (wallclock)	0.178693 seconds
cpu usage	0.123582
user time	0.065947
system time	0.057635
max virtual memory	113188.0
max residence set size	4648.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR x) (THEORY (AC times)) (RULES fac(0) -> s(0) fac(s(x)) -> times(s(x),fac(p(s(x)))) p(s(x)) -> x ) Problem 1: Dependency Pairs Processor: -> FAxioms: TIMES(times(x1,x2),x3) = TIMES(x1,times(x2,x3)) TIMES(x1,x2) = TIMES(x2,x1) -> Pairs: FAC(s(x)) -> FAC(p(s(x))) FAC(s(x)) -> P(s(x)) -> EAxioms: times(times(x1,x2),x3) = times(x1,times(x2,x3)) times(x1,x2) = times(x2,x1) -> Rules: fac(0) -> s(0) fac(s(x)) -> times(s(x),fac(p(s(x)))) p(s(x)) -> x -> SRules: TIMES(times(x1,x2),x3) -> TIMES(x1,x2) TIMES(x1,times(x2,x3)) -> TIMES(x2,x3) Problem 1: SCC Processor: -> FAxioms: TIMES(times(x1,x2),x3) = TIMES(x1,times(x2,x3)) TIMES(x1,x2) = TIMES(x2,x1) -> Pairs: FAC(s(x)) -> FAC(p(s(x))) FAC(s(x)) -> P(s(x)) -> EAxioms: times(times(x1,x2),x3) = times(x1,times(x2,x3)) times(x1,x2) = times(x2,x1) -> Rules: fac(0) -> s(0) fac(s(x)) -> times(s(x),fac(p(s(x)))) p(s(x)) -> x -> SRules: TIMES(times(x1,x2),x3) -> TIMES(x1,x2) TIMES(x1,times(x2,x3)) -> TIMES(x2,x3) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: FAC(s(x)) -> FAC(p(s(x))) -> FAxioms: times(times(x1,x2),x3) -> times(x1,times(x2,x3)) times(x1,x2) -> times(x2,x1) -> EAxioms: times(times(x1,x2),x3) = times(x1,times(x2,x3)) times(x1,x2) = times(x2,x1) ->->-> Rules: fac(0) -> s(0) fac(s(x)) -> times(s(x),fac(p(s(x)))) p(s(x)) -> x -> SRules: Empty Problem 1: Reduction Pairs Processor: -> FAxioms: Empty -> Pairs: FAC(s(x)) -> FAC(p(s(x))) -> EAxioms: times(times(x1,x2),x3) = times(x1,times(x2,x3)) times(x1,x2) = times(x2,x1) -> Usable Equations: Empty -> Rules: fac(0) -> s(0) fac(s(x)) -> times(s(x),fac(p(s(x)))) p(s(x)) -> x -> Usable Rules: p(s(x)) -> x -> SRules: Empty ->Interpretation type: Linear ->Coefficients: All rationals ->Dimension: 1 ->Bound: 3 ->Interpretation: [fac](X) = 0 popout

output may be truncated. 'popout' for the full output.

job log

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actions

all output return to TRS Equational