details

property	value
status	complete
benchmark	AC09.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n176.star.cs.uiowa.edu
space	AProVE_AC_04

run statistics

property	value
solver	muterm 5.18
configuration	default
runtime (wallclock)	7.80094 seconds
cpu usage	7.06665
user time	4.91306
system time	2.15358
max virtual memory	692348.0
max residence set size	10856.0

stage attributes

key	value
starexec-result	YES

output

7.02/7.79 YES 7.02/7.79 7.02/7.79 Problem 1: 7.02/7.79 7.02/7.79 (VAR x y z) 7.02/7.79 (THEORY 7.02/7.79 (AC plus times)) 7.02/7.79 (RULES 7.02/7.79 i(i(x)) -> x 7.02/7.79 i(plus(x,y)) -> plus(i(x),i(y)) 7.02/7.79 i(0) -> 0 7.02/7.79 plus(x,i(x)) -> 0 7.02/7.79 plus(x,0) -> x 7.02/7.79 times(x,i(y)) -> i(times(x,y)) 7.02/7.79 times(x,plus(y,z)) -> plus(times(x,y),times(x,z)) 7.02/7.79 times(x,0) -> 0 7.02/7.79 times(x,1) -> x 7.02/7.79 ) 7.02/7.79 7.02/7.79 Problem 1: 7.02/7.79 7.02/7.79 Dependency Pairs Processor: 7.02/7.79 -> FAxioms: 7.02/7.79 PLUS(plus(x3,x4),x5) = PLUS(x3,plus(x4,x5)) 7.02/7.79 PLUS(x3,x4) = PLUS(x4,x3) 7.02/7.79 TIMES(times(x3,x4),x5) = TIMES(x3,times(x4,x5)) 7.02/7.79 TIMES(x3,x4) = TIMES(x4,x3) 7.02/7.79 -> Pairs: 7.02/7.79 I(plus(x,y)) -> I(x) 7.02/7.79 I(plus(x,y)) -> I(y) 7.02/7.79 I(plus(x,y)) -> PLUS(i(x),i(y)) 7.02/7.79 PLUS(plus(x,i(x)),x3) -> PLUS(0,x3) 7.02/7.79 PLUS(plus(x,0),x3) -> PLUS(x,x3) 7.02/7.79 TIMES(times(x,i(y)),x3) -> I(times(x,y)) 7.02/7.79 TIMES(times(x,i(y)),x3) -> TIMES(i(times(x,y)),x3) 7.02/7.79 TIMES(times(x,i(y)),x3) -> TIMES(x,y) 7.02/7.79 TIMES(times(x,plus(y,z)),x3) -> PLUS(times(x,y),times(x,z)) 7.02/7.79 TIMES(times(x,plus(y,z)),x3) -> TIMES(plus(times(x,y),times(x,z)),x3) 7.02/7.79 TIMES(times(x,plus(y,z)),x3) -> TIMES(x,y) 7.02/7.79 TIMES(times(x,plus(y,z)),x3) -> TIMES(x,z) 7.02/7.79 TIMES(times(x,0),x3) -> TIMES(0,x3) 7.02/7.79 TIMES(times(x,1),x3) -> TIMES(x,x3) 7.02/7.79 TIMES(x,i(y)) -> I(times(x,y)) 7.02/7.79 TIMES(x,i(y)) -> TIMES(x,y) 7.02/7.79 TIMES(x,plus(y,z)) -> PLUS(times(x,y),times(x,z)) 7.02/7.79 TIMES(x,plus(y,z)) -> TIMES(x,y) 7.02/7.79 TIMES(x,plus(y,z)) -> TIMES(x,z) 7.02/7.79 -> EAxioms: 7.02/7.79 plus(plus(x3,x4),x5) = plus(x3,plus(x4,x5)) 7.02/7.79 plus(x3,x4) = plus(x4,x3) 7.02/7.79 times(times(x3,x4),x5) = times(x3,times(x4,x5)) 7.02/7.79 times(x3,x4) = times(x4,x3) 7.02/7.79 -> Rules: 7.02/7.79 i(i(x)) -> x 7.02/7.79 i(plus(x,y)) -> plus(i(x),i(y)) 7.02/7.79 i(0) -> 0 7.02/7.79 plus(x,i(x)) -> 0 7.02/7.79 plus(x,0) -> x 7.02/7.79 times(x,i(y)) -> i(times(x,y)) 7.02/7.79 times(x,plus(y,z)) -> plus(times(x,y),times(x,z)) 7.02/7.79 times(x,0) -> 0 7.02/7.79 times(x,1) -> x 7.02/7.79 -> SRules: 7.02/7.79 PLUS(plus(x3,x4),x5) -> PLUS(x3,x4) 7.02/7.79 PLUS(x3,plus(x4,x5)) -> PLUS(x4,x5) 7.02/7.79 TIMES(times(x3,x4),x5) -> TIMES(x3,x4) 7.02/7.79 TIMES(x3,times(x4,x5)) -> TIMES(x4,x5) 7.02/7.79 7.02/7.79 Problem 1: 7.02/7.79 7.02/7.79 SCC Processor: 7.02/7.79 -> FAxioms: 7.02/7.79 PLUS(plus(x3,x4),x5) = PLUS(x3,plus(x4,x5)) 7.02/7.79 PLUS(x3,x4) = PLUS(x4,x3) 7.02/7.79 TIMES(times(x3,x4),x5) = TIMES(x3,times(x4,x5)) 7.02/7.79 TIMES(x3,x4) = TIMES(x4,x3) 7.02/7.79 -> Pairs: 7.02/7.79 I(plus(x,y)) -> I(x) 7.02/7.79 I(plus(x,y)) -> I(y) 7.02/7.79 I(plus(x,y)) -> PLUS(i(x),i(y)) 7.02/7.79 PLUS(plus(x,i(x)),x3) -> PLUS(0,x3) 7.02/7.79 PLUS(plus(x,0),x3) -> PLUS(x,x3) 7.02/7.79 TIMES(times(x,i(y)),x3) -> I(times(x,y)) 7.02/7.79 TIMES(times(x,i(y)),x3) -> TIMES(i(times(x,y)),x3) 7.02/7.79 TIMES(times(x,i(y)),x3) -> TIMES(x,y) 7.02/7.79 TIMES(times(x,plus(y,z)),x3) -> PLUS(times(x,y),times(x,z)) 7.02/7.79 TIMES(times(x,plus(y,z)),x3) -> TIMES(plus(times(x,y),times(x,z)),x3) 7.02/7.79 TIMES(times(x,plus(y,z)),x3) -> TIMES(x,y) 7.02/7.79 TIMES(times(x,plus(y,z)),x3) -> TIMES(x,z) 7.02/7.79 TIMES(times(x,0),x3) -> TIMES(0,x3) 7.02/7.79 TIMES(times(x,1),x3) -> TIMES(x,x3) 7.02/7.79 TIMES(x,i(y)) -> I(times(x,y)) 7.02/7.79 TIMES(x,i(y)) -> TIMES(x,y) 7.02/7.79 TIMES(x,plus(y,z)) -> PLUS(times(x,y),times(x,z)) 7.02/7.79 TIMES(x,plus(y,z)) -> TIMES(x,y) 7.02/7.79 TIMES(x,plus(y,z)) -> TIMES(x,z) 7.02/7.79 -> EAxioms: 7.02/7.79 plus(plus(x3,x4),x5) = plus(x3,plus(x4,x5)) 7.02/7.79 plus(x3,x4) = plus(x4,x3) 7.02/7.79 times(times(x3,x4),x5) = times(x3,times(x4,x5)) popout

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actions

all output return to TRS_Equational 2019-03-21 05.09