details

property	value
status	complete
benchmark	AC04.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n120.star.cs.uiowa.edu
space	AProVE_AC_04

run statistics

property	value
solver	muterm 5.18
configuration	default
runtime (wallclock)	1.47537 seconds
cpu usage	1.25483
user time	0.745825
system time	0.509004
max virtual memory	564024.0
max residence set size	7032.0

stage attributes

key	value
starexec-result	YES

output

1.22/1.47 YES 1.22/1.47 1.22/1.47 Problem 1: 1.22/1.47 1.22/1.47 (VAR x y) 1.22/1.47 (THEORY 1.22/1.47 (AC plus times)) 1.22/1.47 (RULES 1.22/1.47 div(0,s(y)) -> 0 1.22/1.47 div(s(x),s(y)) -> s(div(minus(x,y),s(y))) 1.22/1.47 minus(s(x),s(y)) -> minus(x,y) 1.22/1.47 minus(x,0) -> x 1.22/1.47 plus(x,0) -> x 1.22/1.47 plus(x,s(y)) -> s(plus(x,y)) 1.22/1.47 times(x,0) -> 0 1.22/1.47 times(x,s(y)) -> plus(x,times(x,y)) 1.22/1.47 ) 1.22/1.47 1.22/1.47 Problem 1: 1.22/1.47 1.22/1.47 Dependency Pairs Processor: 1.22/1.47 -> FAxioms: 1.22/1.47 PLUS(plus(x2,x3),x4) = PLUS(x2,plus(x3,x4)) 1.22/1.47 PLUS(x2,x3) = PLUS(x3,x2) 1.22/1.47 TIMES(times(x2,x3),x4) = TIMES(x2,times(x3,x4)) 1.22/1.47 TIMES(x2,x3) = TIMES(x3,x2) 1.22/1.47 -> Pairs: 1.22/1.47 DIV(s(x),s(y)) -> DIV(minus(x,y),s(y)) 1.22/1.47 DIV(s(x),s(y)) -> MINUS(x,y) 1.22/1.47 MINUS(s(x),s(y)) -> MINUS(x,y) 1.22/1.47 PLUS(plus(x,0),x2) -> PLUS(x,x2) 1.22/1.47 PLUS(plus(x,s(y)),x2) -> PLUS(s(plus(x,y)),x2) 1.22/1.47 PLUS(plus(x,s(y)),x2) -> PLUS(x,y) 1.22/1.47 PLUS(x,s(y)) -> PLUS(x,y) 1.22/1.47 TIMES(times(x,0),x2) -> TIMES(0,x2) 1.22/1.47 TIMES(times(x,s(y)),x2) -> PLUS(x,times(x,y)) 1.22/1.47 TIMES(times(x,s(y)),x2) -> TIMES(plus(x,times(x,y)),x2) 1.22/1.47 TIMES(times(x,s(y)),x2) -> TIMES(x,y) 1.22/1.47 TIMES(x,s(y)) -> PLUS(x,times(x,y)) 1.22/1.47 TIMES(x,s(y)) -> TIMES(x,y) 1.22/1.47 -> EAxioms: 1.22/1.47 plus(plus(x2,x3),x4) = plus(x2,plus(x3,x4)) 1.22/1.47 plus(x2,x3) = plus(x3,x2) 1.22/1.47 times(times(x2,x3),x4) = times(x2,times(x3,x4)) 1.22/1.47 times(x2,x3) = times(x3,x2) 1.22/1.47 -> Rules: 1.22/1.47 div(0,s(y)) -> 0 1.22/1.47 div(s(x),s(y)) -> s(div(minus(x,y),s(y))) 1.22/1.47 minus(s(x),s(y)) -> minus(x,y) 1.22/1.47 minus(x,0) -> x 1.22/1.47 plus(x,0) -> x 1.22/1.47 plus(x,s(y)) -> s(plus(x,y)) 1.22/1.47 times(x,0) -> 0 1.22/1.47 times(x,s(y)) -> plus(x,times(x,y)) 1.22/1.47 -> SRules: 1.22/1.47 PLUS(plus(x2,x3),x4) -> PLUS(x2,x3) 1.22/1.47 PLUS(x2,plus(x3,x4)) -> PLUS(x3,x4) 1.22/1.47 TIMES(times(x2,x3),x4) -> TIMES(x2,x3) 1.22/1.47 TIMES(x2,times(x3,x4)) -> TIMES(x3,x4) 1.22/1.47 1.22/1.47 Problem 1: 1.22/1.47 1.22/1.47 SCC Processor: 1.22/1.47 -> FAxioms: 1.22/1.47 PLUS(plus(x2,x3),x4) = PLUS(x2,plus(x3,x4)) 1.22/1.47 PLUS(x2,x3) = PLUS(x3,x2) 1.22/1.47 TIMES(times(x2,x3),x4) = TIMES(x2,times(x3,x4)) 1.22/1.47 TIMES(x2,x3) = TIMES(x3,x2) 1.22/1.47 -> Pairs: 1.22/1.47 DIV(s(x),s(y)) -> DIV(minus(x,y),s(y)) 1.22/1.47 DIV(s(x),s(y)) -> MINUS(x,y) 1.22/1.47 MINUS(s(x),s(y)) -> MINUS(x,y) 1.22/1.47 PLUS(plus(x,0),x2) -> PLUS(x,x2) 1.22/1.47 PLUS(plus(x,s(y)),x2) -> PLUS(s(plus(x,y)),x2) 1.22/1.47 PLUS(plus(x,s(y)),x2) -> PLUS(x,y) 1.22/1.47 PLUS(x,s(y)) -> PLUS(x,y) 1.22/1.47 TIMES(times(x,0),x2) -> TIMES(0,x2) 1.22/1.47 TIMES(times(x,s(y)),x2) -> PLUS(x,times(x,y)) 1.22/1.47 TIMES(times(x,s(y)),x2) -> TIMES(plus(x,times(x,y)),x2) 1.22/1.47 TIMES(times(x,s(y)),x2) -> TIMES(x,y) 1.22/1.47 TIMES(x,s(y)) -> PLUS(x,times(x,y)) 1.22/1.47 TIMES(x,s(y)) -> TIMES(x,y) 1.22/1.47 -> EAxioms: 1.22/1.47 plus(plus(x2,x3),x4) = plus(x2,plus(x3,x4)) 1.22/1.47 plus(x2,x3) = plus(x3,x2) 1.22/1.47 times(times(x2,x3),x4) = times(x2,times(x3,x4)) 1.22/1.47 times(x2,x3) = times(x3,x2) 1.22/1.47 -> Rules: 1.22/1.47 div(0,s(y)) -> 0 1.22/1.47 div(s(x),s(y)) -> s(div(minus(x,y),s(y))) 1.22/1.47 minus(s(x),s(y)) -> minus(x,y) 1.22/1.47 minus(x,0) -> x 1.22/1.47 plus(x,0) -> x 1.22/1.47 plus(x,s(y)) -> s(plus(x,y)) 1.22/1.47 times(x,0) -> 0 1.22/1.47 times(x,s(y)) -> plus(x,times(x,y)) 1.22/1.47 -> SRules: 1.22/1.47 PLUS(plus(x2,x3),x4) -> PLUS(x2,x3) 1.22/1.47 PLUS(x2,plus(x3,x4)) -> PLUS(x3,x4) 1.22/1.47 TIMES(times(x2,x3),x4) -> TIMES(x2,x3) popout

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

job log

popout

actions

all output return to TRS_Equational 2019-03-21 05.09