TRS_Equational 2019-03-21 05.09 pair #429997208

details

property	value
status	complete
benchmark	AC02.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n036.star.cs.uiowa.edu
space	AProVE_AC_04

run statistics

property	value
solver	muterm 5.18
configuration	default
runtime (wallclock)	0.182498 seconds
cpu usage	0.192312
user time	0.104206
system time	0.088106
max virtual memory	113176.0
max residence set size	5004.0

stage attributes

key	value
starexec-result	YES

output

0.00/0.18	YES
0.00/0.18	
0.00/0.18	Problem 1: 
0.00/0.18	
0.00/0.18	(VAR x y)
0.00/0.18	(THEORY 
0.00/0.18	(AC plus))
0.00/0.18	(RULES
0.00/0.18	double(x) -> plus(x,x)
0.00/0.18	plus(x,0) -> x
0.00/0.18	plus(x,s(y)) -> s(plus(x,y))
0.00/0.18	)
0.00/0.18	
0.00/0.18	Problem 1: 
0.00/0.18	
0.00/0.18	Reduction Order Processor:
0.00/0.18	-> Rules:
0.00/0.18	 double(x) -> plus(x,x)
0.00/0.18	 plus(x,0) -> x
0.00/0.18	 plus(x,s(y)) -> s(plus(x,y))
0.00/0.18	->Interpretation type:
0.00/0.18	 Linear
0.00/0.18	->Coefficients:
0.00/0.18	 Natural Numbers
0.00/0.18	->Dimension:
0.00/0.18	 1
0.00/0.18	->Bound:
0.00/0.18	 2
0.00/0.18	->Interpretation:
0.00/0.18	 
0.00/0.18	[double](X) = 2.X + 2
0.00/0.18	[plus](X1,X2) = X1 + X2
0.00/0.18	[0] = 0
0.00/0.18	[s](X) = X + 2
0.00/0.18	
0.00/0.18	Problem 1: 
0.00/0.18	
0.00/0.18	Reduction Order Processor:
0.00/0.18	-> Rules:
0.00/0.18	 plus(x,0) -> x
0.00/0.18	 plus(x,s(y)) -> s(plus(x,y))
0.00/0.18	->Interpretation type:
0.00/0.18	 Linear
0.00/0.18	->Coefficients:
0.00/0.18	 Natural Numbers
0.00/0.18	->Dimension:
0.00/0.18	 1
0.00/0.18	->Bound:
0.00/0.18	 2
0.00/0.18	->Interpretation:
0.00/0.18	 
0.00/0.18	[double](X) = 2.X
0.00/0.18	[plus](X1,X2) = X1 + X2 + 2
0.00/0.18	[0] = 2
0.00/0.18	[s](X) = X + 1
0.00/0.18	
0.00/0.18	Problem 1: 
0.00/0.18	
0.00/0.18	Dependency Pairs Processor:
0.00/0.18	-> FAxioms:
0.00/0.18	 PLUS(plus(x2,x3),x4) = PLUS(x2,plus(x3,x4))
0.00/0.18	 PLUS(x2,x3) = PLUS(x3,x2)
0.00/0.18	-> Pairs:
0.00/0.18	 PLUS(plus(x,s(y)),x2) -> PLUS(s(plus(x,y)),x2)
0.00/0.18	 PLUS(plus(x,s(y)),x2) -> PLUS(x,y)
0.00/0.18	 PLUS(x,s(y)) -> PLUS(x,y)
0.00/0.18	-> EAxioms:
0.00/0.18	 plus(plus(x2,x3),x4) = plus(x2,plus(x3,x4))
0.00/0.18	 plus(x2,x3) = plus(x3,x2)
0.00/0.18	-> Rules:
0.00/0.18	 plus(x,s(y)) -> s(plus(x,y))
0.00/0.18	-> SRules:
0.00/0.18	 PLUS(plus(x2,x3),x4) -> PLUS(x2,x3)
0.00/0.18	 PLUS(x2,plus(x3,x4)) -> PLUS(x3,x4)
0.00/0.18	
0.00/0.18	Problem 1: 
0.00/0.18	
0.00/0.18	SCC Processor:
0.00/0.18	-> FAxioms:
0.00/0.18	 PLUS(plus(x2,x3),x4) = PLUS(x2,plus(x3,x4))
0.00/0.18	 PLUS(x2,x3) = PLUS(x3,x2)
0.00/0.18	-> Pairs:
0.00/0.18	 PLUS(plus(x,s(y)),x2) -> PLUS(s(plus(x,y)),x2)
0.00/0.18	 PLUS(plus(x,s(y)),x2) -> PLUS(x,y)
0.00/0.18	 PLUS(x,s(y)) -> PLUS(x,y)
0.00/0.18	-> EAxioms:
0.00/0.18	 plus(plus(x2,x3),x4) = plus(x2,plus(x3,x4))
0.00/0.18	 plus(x2,x3) = plus(x3,x2)
0.00/0.18	-> Rules:
0.00/0.18	 plus(x,s(y)) -> s(plus(x,y))
0.00/0.18	-> SRules:
0.00/0.18	 PLUS(plus(x2,x3),x4) -> PLUS(x2,x3)
0.00/0.18	 PLUS(x2,plus(x3,x4)) -> PLUS(x3,x4)
0.00/0.18	->Strongly Connected Components:
0.00/0.18	->->Cycle:
0.00/0.18	->->-> Pairs:
0.00/0.18	 PLUS(plus(x,s(y)),x2) -> PLUS(s(plus(x,y)),x2)
0.00/0.18	 PLUS(plus(x,s(y)),x2) -> PLUS(x,y)
0.00/0.18	 PLUS(x,s(y)) -> PLUS(x,y)
0.00/0.18	-> FAxioms:

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