details

property	value
status	complete
benchmark	AC10.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n086.star.cs.uiowa.edu
space	AProVE_AC_04

run statistics

property	value
solver	muterm 5.18
configuration	default
runtime (wallclock)	4.74427 seconds
cpu usage	4.22351
user time	2.84192
system time	1.38159
max virtual memory	690992.0
max residence set size	9504.0

stage attributes

key	value
starexec-result	YES

output

4.12/4.74 YES 4.12/4.74 4.12/4.74 Problem 1: 4.12/4.74 4.12/4.74 (VAR x y z) 4.12/4.74 (THEORY 4.12/4.74 (AC plus times)) 4.12/4.74 (RULES 4.12/4.74 plus(s(x),y) -> s(plus(x,y)) 4.12/4.74 plus(x,0) -> x 4.12/4.74 times(s(x),y) -> plus(times(x,y),y) 4.12/4.74 times(x,plus(y,z)) -> plus(times(x,y),times(x,z)) 4.12/4.74 times(x,0) -> 0 4.12/4.74 ) 4.12/4.74 4.12/4.74 Problem 1: 4.12/4.74 4.12/4.74 Dependency Pairs Processor: 4.12/4.74 -> FAxioms: 4.12/4.74 PLUS(plus(x3,x4),x5) = PLUS(x3,plus(x4,x5)) 4.12/4.74 PLUS(x3,x4) = PLUS(x4,x3) 4.12/4.74 TIMES(times(x3,x4),x5) = TIMES(x3,times(x4,x5)) 4.12/4.74 TIMES(x3,x4) = TIMES(x4,x3) 4.12/4.74 -> Pairs: 4.12/4.74 PLUS(plus(s(x),y),x3) -> PLUS(s(plus(x,y)),x3) 4.12/4.74 PLUS(plus(s(x),y),x3) -> PLUS(x,y) 4.12/4.74 PLUS(plus(x,0),x3) -> PLUS(x,x3) 4.12/4.74 PLUS(s(x),y) -> PLUS(x,y) 4.12/4.74 TIMES(times(s(x),y),x3) -> PLUS(times(x,y),y) 4.12/4.74 TIMES(times(s(x),y),x3) -> TIMES(plus(times(x,y),y),x3) 4.12/4.74 TIMES(times(s(x),y),x3) -> TIMES(x,y) 4.12/4.74 TIMES(times(x,plus(y,z)),x3) -> PLUS(times(x,y),times(x,z)) 4.12/4.74 TIMES(times(x,plus(y,z)),x3) -> TIMES(plus(times(x,y),times(x,z)),x3) 4.12/4.74 TIMES(times(x,plus(y,z)),x3) -> TIMES(x,y) 4.12/4.74 TIMES(times(x,plus(y,z)),x3) -> TIMES(x,z) 4.12/4.74 TIMES(times(x,0),x3) -> TIMES(0,x3) 4.12/4.74 TIMES(s(x),y) -> PLUS(times(x,y),y) 4.12/4.74 TIMES(s(x),y) -> TIMES(x,y) 4.12/4.74 TIMES(x,plus(y,z)) -> PLUS(times(x,y),times(x,z)) 4.12/4.74 TIMES(x,plus(y,z)) -> TIMES(x,y) 4.12/4.74 TIMES(x,plus(y,z)) -> TIMES(x,z) 4.12/4.74 -> EAxioms: 4.12/4.74 plus(plus(x3,x4),x5) = plus(x3,plus(x4,x5)) 4.12/4.74 plus(x3,x4) = plus(x4,x3) 4.12/4.74 times(times(x3,x4),x5) = times(x3,times(x4,x5)) 4.12/4.74 times(x3,x4) = times(x4,x3) 4.12/4.74 -> Rules: 4.12/4.74 plus(s(x),y) -> s(plus(x,y)) 4.12/4.74 plus(x,0) -> x 4.12/4.74 times(s(x),y) -> plus(times(x,y),y) 4.12/4.74 times(x,plus(y,z)) -> plus(times(x,y),times(x,z)) 4.12/4.74 times(x,0) -> 0 4.12/4.74 -> SRules: 4.12/4.74 PLUS(plus(x3,x4),x5) -> PLUS(x3,x4) 4.12/4.74 PLUS(x3,plus(x4,x5)) -> PLUS(x4,x5) 4.12/4.74 TIMES(times(x3,x4),x5) -> TIMES(x3,x4) 4.12/4.74 TIMES(x3,times(x4,x5)) -> TIMES(x4,x5) 4.12/4.74 4.12/4.74 Problem 1: 4.12/4.74 4.12/4.74 SCC Processor: 4.12/4.74 -> FAxioms: 4.12/4.74 PLUS(plus(x3,x4),x5) = PLUS(x3,plus(x4,x5)) 4.12/4.74 PLUS(x3,x4) = PLUS(x4,x3) 4.12/4.74 TIMES(times(x3,x4),x5) = TIMES(x3,times(x4,x5)) 4.12/4.74 TIMES(x3,x4) = TIMES(x4,x3) 4.12/4.74 -> Pairs: 4.12/4.74 PLUS(plus(s(x),y),x3) -> PLUS(s(plus(x,y)),x3) 4.12/4.74 PLUS(plus(s(x),y),x3) -> PLUS(x,y) 4.12/4.74 PLUS(plus(x,0),x3) -> PLUS(x,x3) 4.12/4.74 PLUS(s(x),y) -> PLUS(x,y) 4.12/4.74 TIMES(times(s(x),y),x3) -> PLUS(times(x,y),y) 4.12/4.74 TIMES(times(s(x),y),x3) -> TIMES(plus(times(x,y),y),x3) 4.12/4.74 TIMES(times(s(x),y),x3) -> TIMES(x,y) 4.12/4.74 TIMES(times(x,plus(y,z)),x3) -> PLUS(times(x,y),times(x,z)) 4.12/4.74 TIMES(times(x,plus(y,z)),x3) -> TIMES(plus(times(x,y),times(x,z)),x3) 4.12/4.74 TIMES(times(x,plus(y,z)),x3) -> TIMES(x,y) 4.12/4.74 TIMES(times(x,plus(y,z)),x3) -> TIMES(x,z) 4.12/4.74 TIMES(times(x,0),x3) -> TIMES(0,x3) 4.12/4.74 TIMES(s(x),y) -> PLUS(times(x,y),y) 4.12/4.74 TIMES(s(x),y) -> TIMES(x,y) 4.12/4.74 TIMES(x,plus(y,z)) -> PLUS(times(x,y),times(x,z)) 4.12/4.74 TIMES(x,plus(y,z)) -> TIMES(x,y) 4.12/4.74 TIMES(x,plus(y,z)) -> TIMES(x,z) 4.12/4.74 -> EAxioms: 4.12/4.74 plus(plus(x3,x4),x5) = plus(x3,plus(x4,x5)) 4.12/4.74 plus(x3,x4) = plus(x4,x3) 4.12/4.74 times(times(x3,x4),x5) = times(x3,times(x4,x5)) 4.12/4.74 times(x3,x4) = times(x4,x3) 4.12/4.74 -> Rules: 4.12/4.74 plus(s(x),y) -> s(plus(x,y)) 4.12/4.74 plus(x,0) -> x 4.12/4.74 times(s(x),y) -> plus(times(x,y),y) 4.12/4.74 times(x,plus(y,z)) -> plus(times(x,y),times(x,z)) 4.12/4.74 times(x,0) -> 0 4.12/4.74 -> SRules: 4.12/4.74 PLUS(plus(x3,x4),x5) -> PLUS(x3,x4) 4.12/4.74 PLUS(x3,plus(x4,x5)) -> PLUS(x4,x5) 4.12/4.74 TIMES(times(x3,x4),x5) -> TIMES(x3,x4) 4.12/4.74 TIMES(x3,times(x4,x5)) -> TIMES(x4,x5) popout

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all output return to TRS_Equational 2019-03-21 05.09