TRS_Equational 2019-03-21 05.09 pair #429997199

details

property	value
status	complete
benchmark	AC12.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n081.star.cs.uiowa.edu
space	AProVE_AC_04

run statistics

property	value
solver	muterm 5.18
configuration	default
runtime (wallclock)	0.194224 seconds
cpu usage	0.198335
user time	0.095624
system time	0.102711
max virtual memory	113176.0
max residence set size	5028.0

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 f))
0.00/0.18	(RULES
0.00/0.18	f(g(f(h(x),x)),x) -> f(h(x),f(x,x))
0.00/0.18	f(g(g(x)),x) -> f(g(x),g(x))
0.00/0.18	f(g(h(x)),f(x,f(x,y))) -> f(g(f(h(x),y)),x)
0.00/0.18	f(h(x),g(x)) -> f(g(h(x)),x)
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	 f(g(f(h(x),x)),x) -> f(h(x),f(x,x))
0.00/0.18	 f(g(g(x)),x) -> f(g(x),g(x))
0.00/0.18	 f(g(h(x)),f(x,f(x,y))) -> f(g(f(h(x),y)),x)
0.00/0.18	 f(h(x),g(x)) -> f(g(h(x)),x)
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	[f](X1,X2) = X1 + X2 + 2
0.00/0.18	[g](X) = X + 1
0.00/0.18	[h](X) = 2.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	 f(g(g(x)),x) -> f(g(x),g(x))
0.00/0.18	 f(g(h(x)),f(x,f(x,y))) -> f(g(f(h(x),y)),x)
0.00/0.18	 f(h(x),g(x)) -> f(g(h(x)),x)
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	[f](X1,X2) = X1 + X2 + 1
0.00/0.18	[g](X) = X + 1
0.00/0.18	[h](X) = 2.X
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	 f(g(g(x)),x) -> f(g(x),g(x))
0.00/0.18	 f(h(x),g(x)) -> f(g(h(x)),x)
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	[f](X1,X2) = X1 + X2 + 1
0.00/0.18	[g](X) = 2.X + 2
0.00/0.18	[h](X) = X
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	 F(f(x2,x3),x4) = F(x2,f(x3,x4))
0.00/0.18	 F(x2,x3) = F(x3,x2)
0.00/0.18	-> Pairs:
0.00/0.18	 F(f(h(x),g(x)),x2) -> F(f(g(h(x)),x),x2)
0.00/0.18	 F(f(h(x),g(x)),x2) -> F(g(h(x)),x)
0.00/0.18	 F(h(x),g(x)) -> F(g(h(x)),x)
0.00/0.18	-> EAxioms:
0.00/0.18	 f(f(x2,x3),x4) = f(x2,f(x3,x4))
0.00/0.18	 f(x2,x3) = f(x3,x2)
0.00/0.18	-> Rules:
0.00/0.18	 f(h(x),g(x)) -> f(g(h(x)),x)
0.00/0.18	-> SRules:
0.00/0.18	 F(f(x2,x3),x4) -> F(x2,x3)
0.00/0.18	 F(x2,f(x3,x4)) -> F(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:

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