details

property	value
status	complete
benchmark	AC48.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n142.star.cs.uiowa.edu
space	AProVE_AC_04

run statistics

property	value
solver	muterm 5.18
configuration	default
runtime (wallclock)	1.47984 seconds
cpu usage	1.38338
user time	0.838738
system time	0.544638
max virtual memory	434836.0
max residence set size	7280.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR x y) (THEORY (AC plus times)) (RULES plus(0,x) -> x plus(s(x),y) -> s(plus(x,y)) plus(x,0) -> x plus(x,s(y)) -> s(plus(x,y)) times(x,0) -> 0 times(x,s(y)) -> plus(times(x,y),x) ) Problem 1: Dependency Pairs Processor: -> FAxioms: PLUS(plus(x2,x3),x4) = PLUS(x2,plus(x3,x4)) PLUS(x2,x3) = PLUS(x3,x2) TIMES(times(x2,x3),x4) = TIMES(x2,times(x3,x4)) TIMES(x2,x3) = TIMES(x3,x2) -> Pairs: PLUS(plus(0,x),x2) -> PLUS(x,x2) PLUS(plus(s(x),y),x2) -> PLUS(s(plus(x,y)),x2) PLUS(plus(s(x),y),x2) -> PLUS(x,y) PLUS(plus(x,0),x2) -> PLUS(x,x2) PLUS(plus(x,s(y)),x2) -> PLUS(s(plus(x,y)),x2) PLUS(plus(x,s(y)),x2) -> PLUS(x,y) PLUS(s(x),y) -> PLUS(x,y) PLUS(x,s(y)) -> PLUS(x,y) TIMES(times(x,0),x2) -> TIMES(0,x2) TIMES(times(x,s(y)),x2) -> PLUS(times(x,y),x) TIMES(times(x,s(y)),x2) -> TIMES(plus(times(x,y),x),x2) TIMES(times(x,s(y)),x2) -> TIMES(x,y) TIMES(x,s(y)) -> PLUS(times(x,y),x) TIMES(x,s(y)) -> TIMES(x,y) -> EAxioms: plus(plus(x2,x3),x4) = plus(x2,plus(x3,x4)) plus(x2,x3) = plus(x3,x2) times(times(x2,x3),x4) = times(x2,times(x3,x4)) times(x2,x3) = times(x3,x2) -> Rules: plus(0,x) -> x plus(s(x),y) -> s(plus(x,y)) plus(x,0) -> x plus(x,s(y)) -> s(plus(x,y)) times(x,0) -> 0 times(x,s(y)) -> plus(times(x,y),x) -> SRules: PLUS(plus(x2,x3),x4) -> PLUS(x2,x3) PLUS(x2,plus(x3,x4)) -> PLUS(x3,x4) TIMES(times(x2,x3),x4) -> TIMES(x2,x3) TIMES(x2,times(x3,x4)) -> TIMES(x3,x4) Problem 1: SCC Processor: -> FAxioms: PLUS(plus(x2,x3),x4) = PLUS(x2,plus(x3,x4)) PLUS(x2,x3) = PLUS(x3,x2) TIMES(times(x2,x3),x4) = TIMES(x2,times(x3,x4)) TIMES(x2,x3) = TIMES(x3,x2) -> Pairs: PLUS(plus(0,x),x2) -> PLUS(x,x2) PLUS(plus(s(x),y),x2) -> PLUS(s(plus(x,y)),x2) PLUS(plus(s(x),y),x2) -> PLUS(x,y) PLUS(plus(x,0),x2) -> PLUS(x,x2) PLUS(plus(x,s(y)),x2) -> PLUS(s(plus(x,y)),x2) PLUS(plus(x,s(y)),x2) -> PLUS(x,y) PLUS(s(x),y) -> PLUS(x,y) PLUS(x,s(y)) -> PLUS(x,y) TIMES(times(x,0),x2) -> TIMES(0,x2) TIMES(times(x,s(y)),x2) -> PLUS(times(x,y),x) TIMES(times(x,s(y)),x2) -> TIMES(plus(times(x,y),x),x2) TIMES(times(x,s(y)),x2) -> TIMES(x,y) TIMES(x,s(y)) -> PLUS(times(x,y),x) TIMES(x,s(y)) -> TIMES(x,y) -> EAxioms: plus(plus(x2,x3),x4) = plus(x2,plus(x3,x4)) plus(x2,x3) = plus(x3,x2) times(times(x2,x3),x4) = times(x2,times(x3,x4)) times(x2,x3) = times(x3,x2) -> Rules: plus(0,x) -> x plus(s(x),y) -> s(plus(x,y)) plus(x,0) -> x plus(x,s(y)) -> s(plus(x,y)) times(x,0) -> 0 times(x,s(y)) -> plus(times(x,y),x) -> SRules: PLUS(plus(x2,x3),x4) -> PLUS(x2,x3) PLUS(x2,plus(x3,x4)) -> PLUS(x3,x4) TIMES(times(x2,x3),x4) -> TIMES(x2,x3) TIMES(x2,times(x3,x4)) -> TIMES(x3,x4) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: popout

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

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actions

all output return to TRS Equational