TRS_Equational 2019-03-21 05.09 pair #429997229

details

property	value
status	complete
benchmark	AC22.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n067.star.cs.uiowa.edu
space	AProVE_AC_04

run statistics

property	value
solver	muterm 5.18
configuration	default
runtime (wallclock)	44.7621 seconds
cpu usage	42.4682
user time	33.9224
system time	8.5458
max virtual memory	812736.0
max residence set size	33848.0

stage attributes

key	value
starexec-result	YES

output

42.38/44.71	YES
42.38/44.71	
42.38/44.71	Problem 1: 
42.38/44.71	
42.38/44.71	(VAR x y z)
42.38/44.71	(THEORY 
42.38/44.71	(AC plus times))
42.38/44.71	(RULES
42.38/44.71	minus(x,y) -> plus(x,neg(y))
42.38/44.71	neg(zero(x)) -> zero(neg(x))
42.38/44.71	neg(0) -> 0
42.38/44.71	neg(j(x)) -> un(neg(x))
42.38/44.71	neg(un(x)) -> j(neg(x))
42.38/44.71	plus(zero(x),zero(y)) -> zero(plus(x,y))
42.38/44.71	plus(zero(x),j(y)) -> j(plus(x,y))
42.38/44.71	plus(zero(x),un(y)) -> un(plus(x,y))
42.38/44.71	plus(j(x),j(y)) -> un(plus(x,plus(y,j(0))))
42.38/44.71	plus(un(x),j(y)) -> zero(plus(x,y))
42.38/44.71	plus(un(x),un(y)) -> j(plus(x,plus(y,un(0))))
42.38/44.71	plus(x,0) -> x
42.38/44.71	times(x,times(zero(y),z)) -> times(zero(times(x,y)),z)
42.38/44.71	times(x,times(0,z)) -> times(0,z)
42.38/44.71	times(x,times(j(y),z)) -> times(plus(zero(times(x,y)),neg(x)),z)
42.38/44.71	times(x,times(un(y),z)) -> times(plus(x,zero(times(x,y))),z)
42.38/44.71	times(x,zero(y)) -> zero(times(x,y))
42.38/44.71	times(x,0) -> 0
42.38/44.71	times(x,j(y)) -> plus(zero(times(x,y)),neg(x))
42.38/44.71	times(x,un(y)) -> plus(x,zero(times(x,y)))
42.38/44.71	zero(0) -> 0
42.38/44.71	)
42.38/44.71	
42.38/44.71	Problem 1: 
42.38/44.71	
42.38/44.71	Dependency Pairs Processor:
42.38/44.71	-> FAxioms:
42.38/44.71	 PLUS(plus(x3,x4),x5) = PLUS(x3,plus(x4,x5))
42.38/44.71	 PLUS(x3,x4) = PLUS(x4,x3)
42.38/44.71	 TIMES(times(x3,x4),x5) = TIMES(x3,times(x4,x5))
42.38/44.71	 TIMES(x3,x4) = TIMES(x4,x3)
42.38/44.71	-> Pairs:
42.38/44.71	 MINUS(x,y) -> NEG(y)
42.38/44.71	 MINUS(x,y) -> PLUS(x,neg(y))
42.38/44.71	 NEG(zero(x)) -> NEG(x)
42.38/44.71	 NEG(zero(x)) -> ZERO(neg(x))
42.38/44.71	 NEG(j(x)) -> NEG(x)
42.38/44.71	 NEG(un(x)) -> NEG(x)
42.38/44.71	 PLUS(plus(zero(x),zero(y)),x3) -> PLUS(zero(plus(x,y)),x3)
42.38/44.71	 PLUS(plus(zero(x),zero(y)),x3) -> PLUS(x,y)
42.38/44.71	 PLUS(plus(zero(x),zero(y)),x3) -> ZERO(plus(x,y))
42.38/44.71	 PLUS(plus(zero(x),j(y)),x3) -> PLUS(j(plus(x,y)),x3)
42.38/44.71	 PLUS(plus(zero(x),j(y)),x3) -> PLUS(x,y)
42.38/44.71	 PLUS(plus(zero(x),un(y)),x3) -> PLUS(un(plus(x,y)),x3)
42.38/44.71	 PLUS(plus(zero(x),un(y)),x3) -> PLUS(x,y)
42.38/44.71	 PLUS(plus(j(x),j(y)),x3) -> PLUS(un(plus(x,plus(y,j(0)))),x3)
42.38/44.71	 PLUS(plus(j(x),j(y)),x3) -> PLUS(x,plus(y,j(0)))
42.38/44.71	 PLUS(plus(j(x),j(y)),x3) -> PLUS(y,j(0))
42.38/44.71	 PLUS(plus(un(x),j(y)),x3) -> PLUS(zero(plus(x,y)),x3)
42.38/44.71	 PLUS(plus(un(x),j(y)),x3) -> PLUS(x,y)
42.38/44.71	 PLUS(plus(un(x),j(y)),x3) -> ZERO(plus(x,y))
42.38/44.71	 PLUS(plus(un(x),un(y)),x3) -> PLUS(j(plus(x,plus(y,un(0)))),x3)
42.38/44.71	 PLUS(plus(un(x),un(y)),x3) -> PLUS(x,plus(y,un(0)))
42.38/44.71	 PLUS(plus(un(x),un(y)),x3) -> PLUS(y,un(0))
42.38/44.71	 PLUS(plus(x,0),x3) -> PLUS(x,x3)
42.38/44.71	 PLUS(zero(x),zero(y)) -> PLUS(x,y)
42.38/44.71	 PLUS(zero(x),zero(y)) -> ZERO(plus(x,y))
42.38/44.71	 PLUS(zero(x),j(y)) -> PLUS(x,y)
42.38/44.71	 PLUS(zero(x),un(y)) -> PLUS(x,y)
42.38/44.71	 PLUS(j(x),j(y)) -> PLUS(x,plus(y,j(0)))
42.38/44.71	 PLUS(j(x),j(y)) -> PLUS(y,j(0))
42.38/44.71	 PLUS(un(x),j(y)) -> PLUS(x,y)
42.38/44.71	 PLUS(un(x),j(y)) -> ZERO(plus(x,y))
42.38/44.71	 PLUS(un(x),un(y)) -> PLUS(x,plus(y,un(0)))
42.38/44.71	 PLUS(un(x),un(y)) -> PLUS(y,un(0))
42.38/44.71	 TIMES(times(x,times(zero(y),z)),x3) -> TIMES(times(zero(times(x,y)),z),x3)
42.38/44.71	 TIMES(times(x,times(zero(y),z)),x3) -> TIMES(zero(times(x,y)),z)
42.38/44.71	 TIMES(times(x,times(zero(y),z)),x3) -> TIMES(x,y)
42.38/44.71	 TIMES(times(x,times(zero(y),z)),x3) -> ZERO(times(x,y))
42.38/44.71	 TIMES(times(x,times(0,z)),x3) -> TIMES(times(0,z),x3)
42.38/44.71	 TIMES(times(x,times(j(y),z)),x3) -> NEG(x)
42.38/44.71	 TIMES(times(x,times(j(y),z)),x3) -> PLUS(zero(times(x,y)),neg(x))
42.38/44.71	 TIMES(times(x,times(j(y),z)),x3) -> TIMES(plus(zero(times(x,y)),neg(x)),z)
42.38/44.71	 TIMES(times(x,times(j(y),z)),x3) -> TIMES(times(plus(zero(times(x,y)),neg(x)),z),x3)
42.38/44.71	 TIMES(times(x,times(j(y),z)),x3) -> TIMES(x,y)
42.38/44.71	 TIMES(times(x,times(j(y),z)),x3) -> ZERO(times(x,y))
42.38/44.71	 TIMES(times(x,times(un(y),z)),x3) -> PLUS(x,zero(times(x,y)))
42.38/44.71	 TIMES(times(x,times(un(y),z)),x3) -> TIMES(plus(x,zero(times(x,y))),z)
42.38/44.71	 TIMES(times(x,times(un(y),z)),x3) -> TIMES(times(plus(x,zero(times(x,y))),z),x3)
42.38/44.71	 TIMES(times(x,times(un(y),z)),x3) -> TIMES(x,y)
42.38/44.71	 TIMES(times(x,times(un(y),z)),x3) -> ZERO(times(x,y))
42.38/44.71	 TIMES(times(x,zero(y)),x3) -> TIMES(zero(times(x,y)),x3)
42.38/44.71	 TIMES(times(x,zero(y)),x3) -> TIMES(x,y)
42.38/44.71	 TIMES(times(x,zero(y)),x3) -> ZERO(times(x,y))
42.38/44.71	 TIMES(times(x,0),x3) -> TIMES(0,x3)
42.38/44.71	 TIMES(times(x,j(y)),x3) -> NEG(x)
42.38/44.71	 TIMES(times(x,j(y)),x3) -> PLUS(zero(times(x,y)),neg(x))
42.38/44.71	 TIMES(times(x,j(y)),x3) -> TIMES(plus(zero(times(x,y)),neg(x)),x3)
42.38/44.71	 TIMES(times(x,j(y)),x3) -> TIMES(x,y)
42.38/44.71	 TIMES(times(x,j(y)),x3) -> ZERO(times(x,y))
42.38/44.71	 TIMES(times(x,un(y)),x3) -> PLUS(x,zero(times(x,y)))
42.38/44.71	 TIMES(times(x,un(y)),x3) -> TIMES(plus(x,zero(times(x,y))),x3)

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