details

property	value
status	complete
benchmark	AC03.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n148.star.cs.uiowa.edu
space	AProVE_AC_04

run statistics

property	value
solver	muterm 5.18
configuration	default
runtime (wallclock)	1.35535 seconds
cpu usage	1.18767
user time	0.710396
system time	0.477276
max virtual memory	677508.0
max residence set size	6912.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR x y) (THEORY (AC plus times)) (RULES plus(x,0) -> x plus(x,s(y)) -> s(plus(x,y)) power(x,0) -> s(0) power(x,s(y)) -> times(x,power(x,y)) times(x,0) -> 0 times(x,s(y)) -> plus(x,times(x,y)) ) 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(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(x,s(y)) -> PLUS(x,y) POWER(x,s(y)) -> POWER(x,y) POWER(x,s(y)) -> TIMES(x,power(x,y)) TIMES(times(x,0),x2) -> TIMES(0,x2) TIMES(times(x,s(y)),x2) -> PLUS(x,times(x,y)) TIMES(times(x,s(y)),x2) -> TIMES(plus(x,times(x,y)),x2) TIMES(times(x,s(y)),x2) -> TIMES(x,y) TIMES(x,s(y)) -> PLUS(x,times(x,y)) 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(x,0) -> x plus(x,s(y)) -> s(plus(x,y)) power(x,0) -> s(0) power(x,s(y)) -> times(x,power(x,y)) times(x,0) -> 0 times(x,s(y)) -> plus(x,times(x,y)) -> 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(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(x,s(y)) -> PLUS(x,y) POWER(x,s(y)) -> POWER(x,y) POWER(x,s(y)) -> TIMES(x,power(x,y)) TIMES(times(x,0),x2) -> TIMES(0,x2) TIMES(times(x,s(y)),x2) -> PLUS(x,times(x,y)) TIMES(times(x,s(y)),x2) -> TIMES(plus(x,times(x,y)),x2) TIMES(times(x,s(y)),x2) -> TIMES(x,y) TIMES(x,s(y)) -> PLUS(x,times(x,y)) 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(x,0) -> x plus(x,s(y)) -> s(plus(x,y)) power(x,0) -> s(0) power(x,s(y)) -> times(x,power(x,y)) times(x,0) -> 0 times(x,s(y)) -> plus(x,times(x,y)) -> 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: 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(x,s(y)) -> PLUS(x,y) popout

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