TRS_Equational 2019-03-21 05.09 pair #429997205

details

property	value
status	complete
benchmark	AC24.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n172.star.cs.uiowa.edu
space	AProVE_AC_04

run statistics

property	value
solver	muterm 5.18
configuration	default
runtime (wallclock)	2.36112 seconds
cpu usage	2.21536
user time	1.47271
system time	0.742657
max virtual memory	691484.0
max residence set size	9208.0

stage attributes

key	value
starexec-result	YES

output

2.11/2.35	YES
2.11/2.35	
2.11/2.35	Problem 1: 
2.11/2.35	
2.11/2.35	(VAR x y)
2.11/2.35	(THEORY 
2.11/2.35	(AC plus times))
2.11/2.35	(RULES
2.11/2.35	0(S) -> S
2.11/2.35	plus(0(x),0(y)) -> 0(plus(x,y))
2.11/2.35	plus(0(x),1(y)) -> 1(plus(x,y))
2.11/2.35	plus(1(x),1(y)) -> 0(plus(x,plus(y,1(S))))
2.11/2.35	plus(S,x) -> x
2.11/2.35	times(0(x),y) -> 0(times(x,y))
2.11/2.35	times(1(x),y) -> plus(0(times(x,y)),y)
2.11/2.35	times(S,x) -> S
2.11/2.35	)
2.11/2.35	
2.11/2.35	Problem 1: 
2.11/2.35	
2.11/2.35	Dependency Pairs Processor:
2.11/2.35	-> FAxioms:
2.11/2.35	 PLUS(plus(x2,x3),x4) = PLUS(x2,plus(x3,x4))
2.11/2.35	 PLUS(x2,x3) = PLUS(x3,x2)
2.11/2.35	 TIMES(times(x2,x3),x4) = TIMES(x2,times(x3,x4))
2.11/2.35	 TIMES(x2,x3) = TIMES(x3,x2)
2.11/2.35	-> Pairs:
2.11/2.35	 PLUS(0(x),0(y)) -> 0#(plus(x,y))
2.11/2.35	 PLUS(0(x),0(y)) -> PLUS(x,y)
2.11/2.35	 PLUS(0(x),1(y)) -> PLUS(x,y)
2.11/2.35	 PLUS(plus(0(x),0(y)),x2) -> 0#(plus(x,y))
2.11/2.35	 PLUS(plus(0(x),0(y)),x2) -> PLUS(0(plus(x,y)),x2)
2.11/2.35	 PLUS(plus(0(x),0(y)),x2) -> PLUS(x,y)
2.11/2.35	 PLUS(plus(0(x),1(y)),x2) -> PLUS(1(plus(x,y)),x2)
2.11/2.35	 PLUS(plus(0(x),1(y)),x2) -> PLUS(x,y)
2.11/2.35	 PLUS(plus(1(x),1(y)),x2) -> 0#(plus(x,plus(y,1(S))))
2.11/2.35	 PLUS(plus(1(x),1(y)),x2) -> PLUS(0(plus(x,plus(y,1(S)))),x2)
2.11/2.35	 PLUS(plus(1(x),1(y)),x2) -> PLUS(x,plus(y,1(S)))
2.11/2.35	 PLUS(plus(1(x),1(y)),x2) -> PLUS(y,1(S))
2.11/2.35	 PLUS(plus(S,x),x2) -> PLUS(x,x2)
2.11/2.35	 PLUS(1(x),1(y)) -> 0#(plus(x,plus(y,1(S))))
2.11/2.35	 PLUS(1(x),1(y)) -> PLUS(x,plus(y,1(S)))
2.11/2.35	 PLUS(1(x),1(y)) -> PLUS(y,1(S))
2.11/2.35	 TIMES(0(x),y) -> 0#(times(x,y))
2.11/2.35	 TIMES(0(x),y) -> TIMES(x,y)
2.11/2.35	 TIMES(times(0(x),y),x2) -> 0#(times(x,y))
2.11/2.35	 TIMES(times(0(x),y),x2) -> TIMES(0(times(x,y)),x2)
2.11/2.35	 TIMES(times(0(x),y),x2) -> TIMES(x,y)
2.11/2.35	 TIMES(times(1(x),y),x2) -> 0#(times(x,y))
2.11/2.35	 TIMES(times(1(x),y),x2) -> PLUS(0(times(x,y)),y)
2.11/2.35	 TIMES(times(1(x),y),x2) -> TIMES(plus(0(times(x,y)),y),x2)
2.11/2.35	 TIMES(times(1(x),y),x2) -> TIMES(x,y)
2.11/2.35	 TIMES(times(S,x),x2) -> TIMES(S,x2)
2.11/2.35	 TIMES(1(x),y) -> 0#(times(x,y))
2.11/2.35	 TIMES(1(x),y) -> PLUS(0(times(x,y)),y)
2.11/2.35	 TIMES(1(x),y) -> TIMES(x,y)
2.11/2.35	-> EAxioms:
2.11/2.35	 plus(plus(x2,x3),x4) = plus(x2,plus(x3,x4))
2.11/2.35	 plus(x2,x3) = plus(x3,x2)
2.11/2.35	 times(times(x2,x3),x4) = times(x2,times(x3,x4))
2.11/2.35	 times(x2,x3) = times(x3,x2)
2.11/2.35	-> Rules:
2.11/2.35	 0(S) -> S
2.11/2.35	 plus(0(x),0(y)) -> 0(plus(x,y))
2.11/2.35	 plus(0(x),1(y)) -> 1(plus(x,y))
2.11/2.35	 plus(1(x),1(y)) -> 0(plus(x,plus(y,1(S))))
2.11/2.35	 plus(S,x) -> x
2.11/2.35	 times(0(x),y) -> 0(times(x,y))
2.11/2.35	 times(1(x),y) -> plus(0(times(x,y)),y)
2.11/2.35	 times(S,x) -> S
2.11/2.35	-> SRules:
2.11/2.35	 PLUS(plus(x2,x3),x4) -> PLUS(x2,x3)
2.11/2.35	 PLUS(x2,plus(x3,x4)) -> PLUS(x3,x4)
2.11/2.35	 TIMES(times(x2,x3),x4) -> TIMES(x2,x3)
2.11/2.35	 TIMES(x2,times(x3,x4)) -> TIMES(x3,x4)
2.11/2.35	
2.11/2.35	Problem 1: 
2.11/2.35	
2.11/2.35	SCC Processor:
2.11/2.35	-> FAxioms:
2.11/2.35	 PLUS(plus(x2,x3),x4) = PLUS(x2,plus(x3,x4))
2.11/2.35	 PLUS(x2,x3) = PLUS(x3,x2)
2.11/2.35	 TIMES(times(x2,x3),x4) = TIMES(x2,times(x3,x4))
2.11/2.35	 TIMES(x2,x3) = TIMES(x3,x2)
2.11/2.35	-> Pairs:
2.11/2.35	 PLUS(0(x),0(y)) -> 0#(plus(x,y))
2.11/2.35	 PLUS(0(x),0(y)) -> PLUS(x,y)
2.11/2.35	 PLUS(0(x),1(y)) -> PLUS(x,y)
2.11/2.35	 PLUS(plus(0(x),0(y)),x2) -> 0#(plus(x,y))
2.11/2.35	 PLUS(plus(0(x),0(y)),x2) -> PLUS(0(plus(x,y)),x2)
2.11/2.35	 PLUS(plus(0(x),0(y)),x2) -> PLUS(x,y)
2.11/2.35	 PLUS(plus(0(x),1(y)),x2) -> PLUS(1(plus(x,y)),x2)
2.11/2.35	 PLUS(plus(0(x),1(y)),x2) -> PLUS(x,y)
2.11/2.35	 PLUS(plus(1(x),1(y)),x2) -> 0#(plus(x,plus(y,1(S))))
2.11/2.35	 PLUS(plus(1(x),1(y)),x2) -> PLUS(0(plus(x,plus(y,1(S)))),x2)
2.11/2.35	 PLUS(plus(1(x),1(y)),x2) -> PLUS(x,plus(y,1(S)))
2.11/2.35	 PLUS(plus(1(x),1(y)),x2) -> PLUS(y,1(S))
2.11/2.35	 PLUS(plus(S,x),x2) -> PLUS(x,x2)
2.11/2.35	 PLUS(1(x),1(y)) -> 0#(plus(x,plus(y,1(S))))
2.11/2.35	 PLUS(1(x),1(y)) -> PLUS(x,plus(y,1(S)))

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