details

property	value
status	complete
benchmark	AC05.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n138.star.cs.uiowa.edu
space	AProVE_AC_04

run statistics

property	value
solver	muterm 5.18
configuration	default
runtime (wallclock)	1.62688 seconds
cpu usage	1.39075
user time	0.85906
system time	0.531688
max virtual memory	547000.0
max residence set size	6868.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR x y) (THEORY (AC plus times)) (RULES div(0,s(y)) -> 0 div(s(x),s(y)) -> s(div(minus(x,y),s(y))) minus(s(x),s(y)) -> minus(p(s(x)),p(s(y))) minus(x,0) -> x p(s(x)) -> x plus(x,0) -> x plus(x,s(y)) -> s(plus(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: DIV(s(x),s(y)) -> DIV(minus(x,y),s(y)) DIV(s(x),s(y)) -> MINUS(x,y) MINUS(s(x),s(y)) -> MINUS(p(s(x)),p(s(y))) MINUS(s(x),s(y)) -> P(s(x)) MINUS(s(x),s(y)) -> P(s(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(x,s(y)) -> PLUS(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: div(0,s(y)) -> 0 div(s(x),s(y)) -> s(div(minus(x,y),s(y))) minus(s(x),s(y)) -> minus(p(s(x)),p(s(y))) minus(x,0) -> x p(s(x)) -> x plus(x,0) -> x plus(x,s(y)) -> s(plus(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: DIV(s(x),s(y)) -> DIV(minus(x,y),s(y)) DIV(s(x),s(y)) -> MINUS(x,y) MINUS(s(x),s(y)) -> MINUS(p(s(x)),p(s(y))) MINUS(s(x),s(y)) -> P(s(x)) MINUS(s(x),s(y)) -> P(s(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(x,s(y)) -> PLUS(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: div(0,s(y)) -> 0 div(s(x),s(y)) -> s(div(minus(x,y),s(y))) minus(s(x),s(y)) -> minus(p(s(x)),p(s(y))) minus(x,0) -> x p(s(x)) -> x plus(x,0) -> x popout

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

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actions

all output return to TRS Equational