TRS_Equational 2019-03-21 05.09 pair #429997220

details

property	value
status	complete
benchmark	AC06.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n078.star.cs.uiowa.edu
space	AProVE_AC_04

run statistics

property	value
solver	muterm 5.18
configuration	default
runtime (wallclock)	3.71688 seconds
cpu usage	3.38173
user time	2.27981
system time	1.10192
max virtual memory	687584.0
max residence set size	10872.0

stage attributes

key	value
starexec-result	YES

output

3.17/3.70	YES
3.17/3.70	
3.17/3.70	Problem 1: 
3.17/3.70	
3.17/3.70	(VAR x y)
3.17/3.70	(THEORY 
3.17/3.70	(AC plus times))
3.17/3.70	(RULES
3.17/3.70	i(i(x)) -> x
3.17/3.70	i(p(x)) -> s(i(x))
3.17/3.70	i(plus(x,y)) -> plus(i(y),i(x))
3.17/3.70	i(s(x)) -> p(i(x))
3.17/3.70	i(0) -> 0
3.17/3.70	p(s(x)) -> x
3.17/3.70	plus(i(x),x) -> 0
3.17/3.70	plus(p(x),y) -> p(plus(x,y))
3.17/3.70	plus(s(x),y) -> s(plus(x,y))
3.17/3.70	plus(0,y) -> y
3.17/3.70	plus(x,plus(i(x),y)) -> y
3.17/3.70	s(p(x)) -> x
3.17/3.70	times(p(x),y) -> plus(times(x,y),i(y))
3.17/3.70	times(s(x),y) -> plus(times(x,y),y)
3.17/3.70	times(0,y) -> 0
3.17/3.70	)
3.17/3.70	
3.17/3.70	Problem 1: 
3.17/3.70	
3.17/3.70	Dependency Pairs Processor:
3.17/3.70	-> FAxioms:
3.17/3.70	 PLUS(plus(x2,x3),x4) = PLUS(x2,plus(x3,x4))
3.17/3.70	 PLUS(x2,x3) = PLUS(x3,x2)
3.17/3.70	 TIMES(times(x2,x3),x4) = TIMES(x2,times(x3,x4))
3.17/3.70	 TIMES(x2,x3) = TIMES(x3,x2)
3.17/3.70	-> Pairs:
3.17/3.70	 I(p(x)) -> I(x)
3.17/3.70	 I(p(x)) -> S(i(x))
3.17/3.70	 I(plus(x,y)) -> I(x)
3.17/3.70	 I(plus(x,y)) -> I(y)
3.17/3.70	 I(plus(x,y)) -> PLUS(i(y),i(x))
3.17/3.70	 I(s(x)) -> I(x)
3.17/3.70	 I(s(x)) -> P(i(x))
3.17/3.70	 PLUS(p(x),y) -> P(plus(x,y))
3.17/3.70	 PLUS(p(x),y) -> PLUS(x,y)
3.17/3.70	 PLUS(plus(i(x),x),x2) -> PLUS(0,x2)
3.17/3.70	 PLUS(plus(p(x),y),x2) -> P(plus(x,y))
3.17/3.70	 PLUS(plus(p(x),y),x2) -> PLUS(p(plus(x,y)),x2)
3.17/3.70	 PLUS(plus(p(x),y),x2) -> PLUS(x,y)
3.17/3.70	 PLUS(plus(s(x),y),x2) -> PLUS(s(plus(x,y)),x2)
3.17/3.70	 PLUS(plus(s(x),y),x2) -> PLUS(x,y)
3.17/3.70	 PLUS(plus(s(x),y),x2) -> S(plus(x,y))
3.17/3.70	 PLUS(plus(0,y),x2) -> PLUS(y,x2)
3.17/3.70	 PLUS(plus(x,plus(i(x),y)),x2) -> PLUS(y,x2)
3.17/3.70	 PLUS(s(x),y) -> PLUS(x,y)
3.17/3.70	 PLUS(s(x),y) -> S(plus(x,y))
3.17/3.70	 TIMES(p(x),y) -> I(y)
3.17/3.70	 TIMES(p(x),y) -> PLUS(times(x,y),i(y))
3.17/3.70	 TIMES(p(x),y) -> TIMES(x,y)
3.17/3.70	 TIMES(s(x),y) -> PLUS(times(x,y),y)
3.17/3.70	 TIMES(s(x),y) -> TIMES(x,y)
3.17/3.70	 TIMES(times(p(x),y),x2) -> I(y)
3.17/3.70	 TIMES(times(p(x),y),x2) -> PLUS(times(x,y),i(y))
3.17/3.70	 TIMES(times(p(x),y),x2) -> TIMES(plus(times(x,y),i(y)),x2)
3.17/3.70	 TIMES(times(p(x),y),x2) -> TIMES(x,y)
3.17/3.70	 TIMES(times(s(x),y),x2) -> PLUS(times(x,y),y)
3.17/3.70	 TIMES(times(s(x),y),x2) -> TIMES(plus(times(x,y),y),x2)
3.17/3.70	 TIMES(times(s(x),y),x2) -> TIMES(x,y)
3.17/3.70	 TIMES(times(0,y),x2) -> TIMES(0,x2)
3.17/3.70	-> EAxioms:
3.17/3.70	 plus(plus(x2,x3),x4) = plus(x2,plus(x3,x4))
3.17/3.70	 plus(x2,x3) = plus(x3,x2)
3.17/3.70	 times(times(x2,x3),x4) = times(x2,times(x3,x4))
3.17/3.70	 times(x2,x3) = times(x3,x2)
3.17/3.70	-> Rules:
3.17/3.70	 i(i(x)) -> x
3.17/3.70	 i(p(x)) -> s(i(x))
3.17/3.70	 i(plus(x,y)) -> plus(i(y),i(x))
3.17/3.70	 i(s(x)) -> p(i(x))
3.17/3.70	 i(0) -> 0
3.17/3.70	 p(s(x)) -> x
3.17/3.70	 plus(i(x),x) -> 0
3.17/3.70	 plus(p(x),y) -> p(plus(x,y))
3.17/3.70	 plus(s(x),y) -> s(plus(x,y))
3.17/3.70	 plus(0,y) -> y
3.17/3.70	 plus(x,plus(i(x),y)) -> y
3.17/3.70	 s(p(x)) -> x
3.17/3.70	 times(p(x),y) -> plus(times(x,y),i(y))
3.17/3.70	 times(s(x),y) -> plus(times(x,y),y)
3.17/3.70	 times(0,y) -> 0
3.17/3.70	-> SRules:
3.17/3.70	 PLUS(plus(x2,x3),x4) -> PLUS(x2,x3)
3.17/3.70	 PLUS(x2,plus(x3,x4)) -> PLUS(x3,x4)
3.17/3.70	 TIMES(times(x2,x3),x4) -> TIMES(x2,x3)
3.17/3.70	 TIMES(x2,times(x3,x4)) -> TIMES(x3,x4)
3.17/3.70	
3.17/3.70	Problem 1: 
3.17/3.70	
3.17/3.70	SCC Processor:
3.17/3.70	-> FAxioms:
3.17/3.70	 PLUS(plus(x2,x3),x4) = PLUS(x2,plus(x3,x4))
3.17/3.70	 PLUS(x2,x3) = PLUS(x3,x2)

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actions all output return to TRS_Equational 2019-03-21 05.09