details

property	value
status	complete
benchmark	AC48.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n038.star.cs.uiowa.edu
space	AProVE_AC_04

run statistics

property	value
solver	muterm 5.18
configuration	default
runtime (wallclock)	1.5584 seconds
cpu usage	1.43379
user time	0.851394
system time	0.5824
max virtual memory	677200.0
max residence set size	7272.0

stage attributes

key	value
starexec-result	YES

output

1.40/1.55 YES 1.40/1.55 1.40/1.55 Problem 1: 1.40/1.55 1.40/1.55 (VAR x y) 1.40/1.55 (THEORY 1.40/1.55 (AC plus times)) 1.40/1.55 (RULES 1.40/1.55 plus(0,x) -> x 1.40/1.55 plus(s(x),y) -> s(plus(x,y)) 1.40/1.55 plus(x,0) -> x 1.40/1.55 plus(x,s(y)) -> s(plus(x,y)) 1.40/1.55 times(x,0) -> 0 1.40/1.55 times(x,s(y)) -> plus(times(x,y),x) 1.40/1.55 ) 1.40/1.55 1.40/1.55 Problem 1: 1.40/1.55 1.40/1.55 Dependency Pairs Processor: 1.40/1.55 -> FAxioms: 1.40/1.55 PLUS(plus(x2,x3),x4) = PLUS(x2,plus(x3,x4)) 1.40/1.55 PLUS(x2,x3) = PLUS(x3,x2) 1.40/1.55 TIMES(times(x2,x3),x4) = TIMES(x2,times(x3,x4)) 1.40/1.55 TIMES(x2,x3) = TIMES(x3,x2) 1.40/1.55 -> Pairs: 1.40/1.55 PLUS(plus(0,x),x2) -> PLUS(x,x2) 1.40/1.55 PLUS(plus(s(x),y),x2) -> PLUS(s(plus(x,y)),x2) 1.40/1.55 PLUS(plus(s(x),y),x2) -> PLUS(x,y) 1.40/1.55 PLUS(plus(x,0),x2) -> PLUS(x,x2) 1.40/1.55 PLUS(plus(x,s(y)),x2) -> PLUS(s(plus(x,y)),x2) 1.40/1.55 PLUS(plus(x,s(y)),x2) -> PLUS(x,y) 1.40/1.55 PLUS(s(x),y) -> PLUS(x,y) 1.40/1.55 PLUS(x,s(y)) -> PLUS(x,y) 1.40/1.55 TIMES(times(x,0),x2) -> TIMES(0,x2) 1.40/1.55 TIMES(times(x,s(y)),x2) -> PLUS(times(x,y),x) 1.40/1.55 TIMES(times(x,s(y)),x2) -> TIMES(plus(times(x,y),x),x2) 1.40/1.55 TIMES(times(x,s(y)),x2) -> TIMES(x,y) 1.40/1.55 TIMES(x,s(y)) -> PLUS(times(x,y),x) 1.40/1.55 TIMES(x,s(y)) -> TIMES(x,y) 1.40/1.55 -> EAxioms: 1.40/1.55 plus(plus(x2,x3),x4) = plus(x2,plus(x3,x4)) 1.40/1.55 plus(x2,x3) = plus(x3,x2) 1.40/1.55 times(times(x2,x3),x4) = times(x2,times(x3,x4)) 1.40/1.55 times(x2,x3) = times(x3,x2) 1.40/1.55 -> Rules: 1.40/1.55 plus(0,x) -> x 1.40/1.55 plus(s(x),y) -> s(plus(x,y)) 1.40/1.55 plus(x,0) -> x 1.40/1.55 plus(x,s(y)) -> s(plus(x,y)) 1.40/1.55 times(x,0) -> 0 1.40/1.55 times(x,s(y)) -> plus(times(x,y),x) 1.40/1.55 -> SRules: 1.40/1.55 PLUS(plus(x2,x3),x4) -> PLUS(x2,x3) 1.40/1.55 PLUS(x2,plus(x3,x4)) -> PLUS(x3,x4) 1.40/1.55 TIMES(times(x2,x3),x4) -> TIMES(x2,x3) 1.40/1.55 TIMES(x2,times(x3,x4)) -> TIMES(x3,x4) 1.40/1.55 1.40/1.55 Problem 1: 1.40/1.55 1.40/1.55 SCC Processor: 1.40/1.55 -> FAxioms: 1.40/1.55 PLUS(plus(x2,x3),x4) = PLUS(x2,plus(x3,x4)) 1.40/1.55 PLUS(x2,x3) = PLUS(x3,x2) 1.40/1.55 TIMES(times(x2,x3),x4) = TIMES(x2,times(x3,x4)) 1.40/1.55 TIMES(x2,x3) = TIMES(x3,x2) 1.40/1.55 -> Pairs: 1.40/1.55 PLUS(plus(0,x),x2) -> PLUS(x,x2) 1.40/1.55 PLUS(plus(s(x),y),x2) -> PLUS(s(plus(x,y)),x2) 1.40/1.55 PLUS(plus(s(x),y),x2) -> PLUS(x,y) 1.40/1.55 PLUS(plus(x,0),x2) -> PLUS(x,x2) 1.40/1.55 PLUS(plus(x,s(y)),x2) -> PLUS(s(plus(x,y)),x2) 1.40/1.55 PLUS(plus(x,s(y)),x2) -> PLUS(x,y) 1.40/1.55 PLUS(s(x),y) -> PLUS(x,y) 1.40/1.55 PLUS(x,s(y)) -> PLUS(x,y) 1.40/1.55 TIMES(times(x,0),x2) -> TIMES(0,x2) 1.40/1.55 TIMES(times(x,s(y)),x2) -> PLUS(times(x,y),x) 1.40/1.55 TIMES(times(x,s(y)),x2) -> TIMES(plus(times(x,y),x),x2) 1.40/1.55 TIMES(times(x,s(y)),x2) -> TIMES(x,y) 1.40/1.55 TIMES(x,s(y)) -> PLUS(times(x,y),x) 1.40/1.55 TIMES(x,s(y)) -> TIMES(x,y) 1.40/1.55 -> EAxioms: 1.40/1.55 plus(plus(x2,x3),x4) = plus(x2,plus(x3,x4)) 1.40/1.55 plus(x2,x3) = plus(x3,x2) 1.40/1.55 times(times(x2,x3),x4) = times(x2,times(x3,x4)) 1.40/1.55 times(x2,x3) = times(x3,x2) 1.40/1.55 -> Rules: 1.40/1.55 plus(0,x) -> x 1.40/1.55 plus(s(x),y) -> s(plus(x,y)) 1.40/1.55 plus(x,0) -> x 1.40/1.55 plus(x,s(y)) -> s(plus(x,y)) 1.40/1.55 times(x,0) -> 0 1.40/1.55 times(x,s(y)) -> plus(times(x,y),x) 1.40/1.55 -> SRules: 1.40/1.55 PLUS(plus(x2,x3),x4) -> PLUS(x2,x3) 1.40/1.55 PLUS(x2,plus(x3,x4)) -> PLUS(x3,x4) 1.40/1.55 TIMES(times(x2,x3),x4) -> TIMES(x2,x3) 1.40/1.55 TIMES(x2,times(x3,x4)) -> TIMES(x3,x4) 1.40/1.55 ->Strongly Connected Components: 1.40/1.55 ->->Cycle: 1.40/1.55 ->->-> Pairs: popout

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

job log

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actions

all output return to TRS_Equational 2019-03-21 05.09