TRS_Equational 2019-03-21 05.09 pair #429997304

details

property	value
status	complete
benchmark	YWHM14_2.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n181.star.cs.uiowa.edu
space	Mixed_AC

run statistics

property	value
solver	muterm 5.18
configuration	default
runtime (wallclock)	0.110633 seconds
cpu usage	0.115673
user time	0.063587
system time	0.052086
max virtual memory	113176.0
max residence set size	4868.0

stage attributes

key	value
starexec-result	YES

output

0.00/0.10	YES
0.00/0.10	
0.00/0.10	Problem 1: 
0.00/0.10	
0.00/0.10	(THEORY 
0.00/0.10	(AC plus))
0.00/0.10	(RULES
0.00/0.10	f(plus(a,a)) -> plus(f(a),f(a))
0.00/0.10	plus(f(a),f(a)) -> plus(a,f(f(a)))
0.00/0.10	)
0.00/0.10	
0.00/0.10	Problem 1: 
0.00/0.10	
0.00/0.10	Reduction Order Processor:
0.00/0.10	-> Rules:
0.00/0.10	 f(plus(a,a)) -> plus(f(a),f(a))
0.00/0.10	 plus(f(a),f(a)) -> plus(a,f(f(a)))
0.00/0.10	->Interpretation type:
0.00/0.10	 Linear
0.00/0.10	->Coefficients:
0.00/0.10	 Natural Numbers
0.00/0.10	->Dimension:
0.00/0.10	 1
0.00/0.10	->Bound:
0.00/0.10	 2
0.00/0.10	->Interpretation:
0.00/0.10	 
0.00/0.10	[f](X) = 2.X
0.00/0.10	[plus](X1,X2) = X1 + X2 + 2
0.00/0.10	[a] = 0
0.00/0.10	
0.00/0.10	Problem 1: 
0.00/0.10	
0.00/0.10	Dependency Pairs Processor:
0.00/0.10	-> FAxioms:
0.00/0.10	 PLUS(plus(x0,x1),x2) = PLUS(x0,plus(x1,x2))
0.00/0.10	 PLUS(x0,x1) = PLUS(x1,x0)
0.00/0.10	-> Pairs:
0.00/0.10	 PLUS(f(a),f(a)) -> F(f(a))
0.00/0.10	 PLUS(f(a),f(a)) -> PLUS(a,f(f(a)))
0.00/0.10	 PLUS(plus(f(a),f(a)),x0) -> F(f(a))
0.00/0.10	 PLUS(plus(f(a),f(a)),x0) -> PLUS(plus(a,f(f(a))),x0)
0.00/0.10	 PLUS(plus(f(a),f(a)),x0) -> PLUS(a,f(f(a)))
0.00/0.10	-> EAxioms:
0.00/0.10	 plus(plus(x0,x1),x2) = plus(x0,plus(x1,x2))
0.00/0.10	 plus(x0,x1) = plus(x1,x0)
0.00/0.10	-> Rules:
0.00/0.10	 plus(f(a),f(a)) -> plus(a,f(f(a)))
0.00/0.10	-> SRules:
0.00/0.10	 PLUS(plus(x0,x1),x2) -> PLUS(x0,x1)
0.00/0.10	 PLUS(x0,plus(x1,x2)) -> PLUS(x1,x2)
0.00/0.10	
0.00/0.10	Problem 1: 
0.00/0.10	
0.00/0.10	SCC Processor:
0.00/0.10	-> FAxioms:
0.00/0.10	 PLUS(plus(x0,x1),x2) = PLUS(x0,plus(x1,x2))
0.00/0.10	 PLUS(x0,x1) = PLUS(x1,x0)
0.00/0.10	-> Pairs:
0.00/0.10	 PLUS(f(a),f(a)) -> F(f(a))
0.00/0.10	 PLUS(f(a),f(a)) -> PLUS(a,f(f(a)))
0.00/0.10	 PLUS(plus(f(a),f(a)),x0) -> F(f(a))
0.00/0.10	 PLUS(plus(f(a),f(a)),x0) -> PLUS(plus(a,f(f(a))),x0)
0.00/0.10	 PLUS(plus(f(a),f(a)),x0) -> PLUS(a,f(f(a)))
0.00/0.10	-> EAxioms:
0.00/0.10	 plus(plus(x0,x1),x2) = plus(x0,plus(x1,x2))
0.00/0.10	 plus(x0,x1) = plus(x1,x0)
0.00/0.10	-> Rules:
0.00/0.10	 plus(f(a),f(a)) -> plus(a,f(f(a)))
0.00/0.10	-> SRules:
0.00/0.10	 PLUS(plus(x0,x1),x2) -> PLUS(x0,x1)
0.00/0.10	 PLUS(x0,plus(x1,x2)) -> PLUS(x1,x2)
0.00/0.10	->Strongly Connected Components:
0.00/0.10	->->Cycle:
0.00/0.10	->->-> Pairs:
0.00/0.10	 PLUS(f(a),f(a)) -> PLUS(a,f(f(a)))
0.00/0.10	 PLUS(plus(f(a),f(a)),x0) -> PLUS(plus(a,f(f(a))),x0)
0.00/0.10	 PLUS(plus(f(a),f(a)),x0) -> PLUS(a,f(f(a)))
0.00/0.10	-> FAxioms:
0.00/0.10	 plus(plus(x0,x1),x2) -> plus(x0,plus(x1,x2))
0.00/0.10	 plus(x0,x1) -> plus(x1,x0)
0.00/0.10	 PLUS(plus(x0,x1),x2) -> PLUS(x0,plus(x1,x2))
0.00/0.10	 PLUS(x0,x1) -> PLUS(x1,x0)
0.00/0.10	-> EAxioms:
0.00/0.10	 plus(plus(x0,x1),x2) = plus(x0,plus(x1,x2))
0.00/0.10	 plus(x0,x1) = plus(x1,x0)
0.00/0.10	->->-> Rules:
0.00/0.10	 plus(f(a),f(a)) -> plus(a,f(f(a)))
0.00/0.10	-> SRules:
0.00/0.10	 PLUS(plus(x0,x1),x2) -> PLUS(x0,x1)
0.00/0.10	 PLUS(x0,plus(x1,x2)) -> PLUS(x1,x2)
0.00/0.10	
0.00/0.10	Problem 1: 
0.00/0.10	
0.00/0.10	Reduction Pairs Processor:
0.00/0.10	-> FAxioms:
0.00/0.10	 PLUS(plus(x0,x1),x2) = PLUS(x0,plus(x1,x2))
0.00/0.10	 PLUS(x0,x1) = PLUS(x1,x0)
0.00/0.10	-> Pairs:
0.00/0.10	 PLUS(f(a),f(a)) -> PLUS(a,f(f(a)))

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