details

property	value
status	complete
benchmark	IJCAR_AC1.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n143.star.cs.uiowa.edu
space	AProVE_AC_04

run statistics

property	value
solver	muterm 5.18
configuration	default
runtime (wallclock)	2.3251 seconds
cpu usage	1.60435
user time	0.925994
system time	0.678353
max virtual memory	564192.0
max residence set size	7580.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR x y z) (THEORY (AC plus times)) (RULES div(div(x,y),z) -> div(x,times(y,z)) div(0,y) -> 0 div(x,y) -> quot(x,y,y) plus(0,y) -> y plus(s(x),y) -> s(plus(x,y)) plus(x,0) -> x quot(0,s(y),z) -> 0 quot(s(x),s(y),z) -> quot(x,y,z) quot(x,0,s(z)) -> s(div(x,s(z))) times(0,y) -> 0 times(s(0),y) -> y times(s(x),y) -> plus(y,times(x,y)) ) Problem 1: Dependency Pairs Processor: -> FAxioms: PLUS(plus(x3,x4),x5) = PLUS(x3,plus(x4,x5)) PLUS(x3,x4) = PLUS(x4,x3) TIMES(times(x3,x4),x5) = TIMES(x3,times(x4,x5)) TIMES(x3,x4) = TIMES(x4,x3) -> Pairs: DIV(div(x,y),z) -> DIV(x,times(y,z)) DIV(div(x,y),z) -> TIMES(y,z) DIV(x,y) -> QUOT(x,y,y) PLUS(plus(0,y),x3) -> PLUS(y,x3) PLUS(plus(s(x),y),x3) -> PLUS(s(plus(x,y)),x3) PLUS(plus(s(x),y),x3) -> PLUS(x,y) PLUS(plus(x,0),x3) -> PLUS(x,x3) PLUS(s(x),y) -> PLUS(x,y) QUOT(s(x),s(y),z) -> QUOT(x,y,z) QUOT(x,0,s(z)) -> DIV(x,s(z)) TIMES(times(0,y),x3) -> TIMES(0,x3) TIMES(times(s(0),y),x3) -> TIMES(y,x3) TIMES(times(s(x),y),x3) -> PLUS(y,times(x,y)) TIMES(times(s(x),y),x3) -> TIMES(plus(y,times(x,y)),x3) TIMES(times(s(x),y),x3) -> TIMES(x,y) TIMES(s(x),y) -> PLUS(y,times(x,y)) TIMES(s(x),y) -> TIMES(x,y) -> EAxioms: plus(plus(x3,x4),x5) = plus(x3,plus(x4,x5)) plus(x3,x4) = plus(x4,x3) times(times(x3,x4),x5) = times(x3,times(x4,x5)) times(x3,x4) = times(x4,x3) -> Rules: div(div(x,y),z) -> div(x,times(y,z)) div(0,y) -> 0 div(x,y) -> quot(x,y,y) plus(0,y) -> y plus(s(x),y) -> s(plus(x,y)) plus(x,0) -> x quot(0,s(y),z) -> 0 quot(s(x),s(y),z) -> quot(x,y,z) quot(x,0,s(z)) -> s(div(x,s(z))) times(0,y) -> 0 times(s(0),y) -> y times(s(x),y) -> plus(y,times(x,y)) -> SRules: PLUS(plus(x3,x4),x5) -> PLUS(x3,x4) PLUS(x3,plus(x4,x5)) -> PLUS(x4,x5) TIMES(times(x3,x4),x5) -> TIMES(x3,x4) TIMES(x3,times(x4,x5)) -> TIMES(x4,x5) Problem 1: SCC Processor: -> FAxioms: PLUS(plus(x3,x4),x5) = PLUS(x3,plus(x4,x5)) PLUS(x3,x4) = PLUS(x4,x3) TIMES(times(x3,x4),x5) = TIMES(x3,times(x4,x5)) TIMES(x3,x4) = TIMES(x4,x3) -> Pairs: DIV(div(x,y),z) -> DIV(x,times(y,z)) DIV(div(x,y),z) -> TIMES(y,z) DIV(x,y) -> QUOT(x,y,y) PLUS(plus(0,y),x3) -> PLUS(y,x3) PLUS(plus(s(x),y),x3) -> PLUS(s(plus(x,y)),x3) PLUS(plus(s(x),y),x3) -> PLUS(x,y) PLUS(plus(x,0),x3) -> PLUS(x,x3) PLUS(s(x),y) -> PLUS(x,y) QUOT(s(x),s(y),z) -> QUOT(x,y,z) QUOT(x,0,s(z)) -> DIV(x,s(z)) TIMES(times(0,y),x3) -> TIMES(0,x3) TIMES(times(s(0),y),x3) -> TIMES(y,x3) TIMES(times(s(x),y),x3) -> PLUS(y,times(x,y)) TIMES(times(s(x),y),x3) -> TIMES(plus(y,times(x,y)),x3) TIMES(times(s(x),y),x3) -> TIMES(x,y) TIMES(s(x),y) -> PLUS(y,times(x,y)) TIMES(s(x),y) -> TIMES(x,y) -> EAxioms: plus(plus(x3,x4),x5) = plus(x3,plus(x4,x5)) popout

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all output return to TRS Equational