details

property	value
status	complete
benchmark	AC13.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n095.star.cs.uiowa.edu
space	AProVE_AC_04

run statistics

property	value
solver	muterm 5.18
configuration	default
runtime (wallclock)	7.69054 seconds
cpu usage	6.54819
user time	4.59834
system time	1.94984
max virtual memory	691140.0
max residence set size	10600.0

stage attributes

key	value
starexec-result	YES

output

6.44/7.68 YES 6.44/7.68 6.44/7.68 Problem 1: 6.44/7.68 6.44/7.68 (VAR x y z) 6.44/7.68 (THEORY 6.44/7.68 (AC plus times)) 6.44/7.68 (RULES 6.44/7.68 i(i(x)) -> x 6.44/7.68 i(plus(x,y)) -> plus(i(x),i(y)) 6.44/7.68 i(0) -> 0 6.44/7.68 plus(x,i(x)) -> 0 6.44/7.68 plus(x,0) -> x 6.44/7.68 times(x,i(y)) -> i(times(x,y)) 6.44/7.68 times(x,plus(y,z)) -> plus(times(x,y),times(x,z)) 6.44/7.68 times(x,0) -> 0 6.44/7.68 ) 6.44/7.68 6.44/7.68 Problem 1: 6.44/7.68 6.44/7.68 Dependency Pairs Processor: 6.44/7.68 -> FAxioms: 6.44/7.68 PLUS(plus(x3,x4),x5) = PLUS(x3,plus(x4,x5)) 6.44/7.68 PLUS(x3,x4) = PLUS(x4,x3) 6.44/7.68 TIMES(times(x3,x4),x5) = TIMES(x3,times(x4,x5)) 6.44/7.68 TIMES(x3,x4) = TIMES(x4,x3) 6.44/7.68 -> Pairs: 6.44/7.68 I(plus(x,y)) -> I(x) 6.44/7.68 I(plus(x,y)) -> I(y) 6.44/7.68 I(plus(x,y)) -> PLUS(i(x),i(y)) 6.44/7.68 PLUS(plus(x,i(x)),x3) -> PLUS(0,x3) 6.44/7.68 PLUS(plus(x,0),x3) -> PLUS(x,x3) 6.44/7.68 TIMES(times(x,i(y)),x3) -> I(times(x,y)) 6.44/7.68 TIMES(times(x,i(y)),x3) -> TIMES(i(times(x,y)),x3) 6.44/7.68 TIMES(times(x,i(y)),x3) -> TIMES(x,y) 6.44/7.68 TIMES(times(x,plus(y,z)),x3) -> PLUS(times(x,y),times(x,z)) 6.44/7.68 TIMES(times(x,plus(y,z)),x3) -> TIMES(plus(times(x,y),times(x,z)),x3) 6.44/7.68 TIMES(times(x,plus(y,z)),x3) -> TIMES(x,y) 6.44/7.68 TIMES(times(x,plus(y,z)),x3) -> TIMES(x,z) 6.44/7.68 TIMES(times(x,0),x3) -> TIMES(0,x3) 6.44/7.68 TIMES(x,i(y)) -> I(times(x,y)) 6.44/7.68 TIMES(x,i(y)) -> TIMES(x,y) 6.44/7.68 TIMES(x,plus(y,z)) -> PLUS(times(x,y),times(x,z)) 6.44/7.68 TIMES(x,plus(y,z)) -> TIMES(x,y) 6.44/7.68 TIMES(x,plus(y,z)) -> TIMES(x,z) 6.44/7.68 -> EAxioms: 6.44/7.68 plus(plus(x3,x4),x5) = plus(x3,plus(x4,x5)) 6.44/7.68 plus(x3,x4) = plus(x4,x3) 6.44/7.68 times(times(x3,x4),x5) = times(x3,times(x4,x5)) 6.44/7.68 times(x3,x4) = times(x4,x3) 6.44/7.68 -> Rules: 6.44/7.68 i(i(x)) -> x 6.44/7.68 i(plus(x,y)) -> plus(i(x),i(y)) 6.44/7.68 i(0) -> 0 6.44/7.68 plus(x,i(x)) -> 0 6.44/7.68 plus(x,0) -> x 6.44/7.68 times(x,i(y)) -> i(times(x,y)) 6.44/7.68 times(x,plus(y,z)) -> plus(times(x,y),times(x,z)) 6.44/7.68 times(x,0) -> 0 6.44/7.68 -> SRules: 6.44/7.68 PLUS(plus(x3,x4),x5) -> PLUS(x3,x4) 6.44/7.68 PLUS(x3,plus(x4,x5)) -> PLUS(x4,x5) 6.44/7.68 TIMES(times(x3,x4),x5) -> TIMES(x3,x4) 6.44/7.68 TIMES(x3,times(x4,x5)) -> TIMES(x4,x5) 6.44/7.68 6.44/7.68 Problem 1: 6.44/7.68 6.44/7.68 SCC Processor: 6.44/7.68 -> FAxioms: 6.44/7.68 PLUS(plus(x3,x4),x5) = PLUS(x3,plus(x4,x5)) 6.44/7.68 PLUS(x3,x4) = PLUS(x4,x3) 6.44/7.68 TIMES(times(x3,x4),x5) = TIMES(x3,times(x4,x5)) 6.44/7.68 TIMES(x3,x4) = TIMES(x4,x3) 6.44/7.68 -> Pairs: 6.44/7.68 I(plus(x,y)) -> I(x) 6.44/7.68 I(plus(x,y)) -> I(y) 6.44/7.68 I(plus(x,y)) -> PLUS(i(x),i(y)) 6.44/7.68 PLUS(plus(x,i(x)),x3) -> PLUS(0,x3) 6.44/7.68 PLUS(plus(x,0),x3) -> PLUS(x,x3) 6.44/7.68 TIMES(times(x,i(y)),x3) -> I(times(x,y)) 6.44/7.68 TIMES(times(x,i(y)),x3) -> TIMES(i(times(x,y)),x3) 6.44/7.68 TIMES(times(x,i(y)),x3) -> TIMES(x,y) 6.44/7.68 TIMES(times(x,plus(y,z)),x3) -> PLUS(times(x,y),times(x,z)) 6.44/7.68 TIMES(times(x,plus(y,z)),x3) -> TIMES(plus(times(x,y),times(x,z)),x3) 6.44/7.68 TIMES(times(x,plus(y,z)),x3) -> TIMES(x,y) 6.44/7.68 TIMES(times(x,plus(y,z)),x3) -> TIMES(x,z) 6.44/7.68 TIMES(times(x,0),x3) -> TIMES(0,x3) 6.44/7.68 TIMES(x,i(y)) -> I(times(x,y)) 6.44/7.68 TIMES(x,i(y)) -> TIMES(x,y) 6.44/7.68 TIMES(x,plus(y,z)) -> PLUS(times(x,y),times(x,z)) 6.44/7.68 TIMES(x,plus(y,z)) -> TIMES(x,y) 6.44/7.68 TIMES(x,plus(y,z)) -> TIMES(x,z) 6.44/7.68 -> EAxioms: 6.44/7.68 plus(plus(x3,x4),x5) = plus(x3,plus(x4,x5)) 6.44/7.68 plus(x3,x4) = plus(x4,x3) 6.44/7.68 times(times(x3,x4),x5) = times(x3,times(x4,x5)) 6.44/7.68 times(x3,x4) = times(x4,x3) 6.44/7.68 -> Rules: 6.44/7.68 i(i(x)) -> x 6.44/7.68 i(plus(x,y)) -> plus(i(x),i(y)) popout

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all output return to TRS_Equational 2019-03-21 05.09