TRS_Equational 2019-03-21 05.09 pair #429997298

details

property	value
status	complete
benchmark	boolean_rings.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n042.star.cs.uiowa.edu
space	Mixed_AC

run statistics

property	value
solver	muterm 5.18
configuration	default
runtime (wallclock)	6.43513 seconds
cpu usage	3.73654
user time	2.37393
system time	1.36261
max virtual memory	689668.0
max residence set size	8336.0

stage attributes

key	value
starexec-result	YES

output

3.68/6.43	YES
3.68/6.43	
3.68/6.43	Problem 1: 
3.68/6.43	
3.68/6.43	(VAR x y z)
3.68/6.43	(THEORY 
3.68/6.43	(AC and or xor))
3.68/6.43	(RULES
3.68/6.43	and(xor(x,y),z) -> xor(and(x,z),and(y,z))
3.68/6.43	and(F,x) -> F
3.68/6.43	and(T,x) -> x
3.68/6.43	and(x,x) -> x
3.68/6.43	equiv(x,y) -> xor(xor(T,y),x)
3.68/6.43	impl(x,y) -> xor(and(x,y),xor(T,x))
3.68/6.43	neg(x) -> xor(T,x)
3.68/6.43	or(x,y) -> xor(and(x,y),xor(x,y))
3.68/6.43	xor(neg(x),x) -> F
3.68/6.43	xor(F,x) -> x
3.68/6.43	xor(x,x) -> F
3.68/6.43	)
3.68/6.43	
3.68/6.43	Problem 1: 
3.68/6.43	
3.68/6.43	Dependency Pairs Processor:
3.68/6.43	-> FAxioms:
3.68/6.43	 AND(and(x3,x4),x5) = AND(x3,and(x4,x5))
3.68/6.43	 AND(x3,x4) = AND(x4,x3)
3.68/6.43	 OR(or(x3,x4),x5) = OR(x3,or(x4,x5))
3.68/6.43	 OR(x3,x4) = OR(x4,x3)
3.68/6.43	 XOR(xor(x3,x4),x5) = XOR(x3,xor(x4,x5))
3.68/6.43	 XOR(x3,x4) = XOR(x4,x3)
3.68/6.43	-> Pairs:
3.68/6.43	 AND(and(xor(x,y),z),x3) -> AND(xor(and(x,z),and(y,z)),x3)
3.68/6.43	 AND(and(xor(x,y),z),x3) -> AND(x,z)
3.68/6.43	 AND(and(xor(x,y),z),x3) -> AND(y,z)
3.68/6.43	 AND(and(xor(x,y),z),x3) -> XOR(and(x,z),and(y,z))
3.68/6.43	 AND(and(F,x),x3) -> AND(F,x3)
3.68/6.43	 AND(and(T,x),x3) -> AND(x,x3)
3.68/6.43	 AND(and(x,x),x3) -> AND(x,x3)
3.68/6.43	 AND(xor(x,y),z) -> AND(x,z)
3.68/6.43	 AND(xor(x,y),z) -> AND(y,z)
3.68/6.43	 AND(xor(x,y),z) -> XOR(and(x,z),and(y,z))
3.68/6.43	 EQUIV(x,y) -> XOR(xor(T,y),x)
3.68/6.43	 EQUIV(x,y) -> XOR(T,y)
3.68/6.43	 IMPL(x,y) -> AND(x,y)
3.68/6.43	 IMPL(x,y) -> XOR(and(x,y),xor(T,x))
3.68/6.43	 IMPL(x,y) -> XOR(T,x)
3.68/6.43	 NEG(x) -> XOR(T,x)
3.68/6.43	 OR(or(x,y),x3) -> AND(x,y)
3.68/6.43	 OR(or(x,y),x3) -> OR(xor(and(x,y),xor(x,y)),x3)
3.68/6.43	 OR(or(x,y),x3) -> XOR(and(x,y),xor(x,y))
3.68/6.43	 OR(or(x,y),x3) -> XOR(x,y)
3.68/6.43	 OR(x,y) -> AND(x,y)
3.68/6.43	 OR(x,y) -> XOR(and(x,y),xor(x,y))
3.68/6.43	 OR(x,y) -> XOR(x,y)
3.68/6.43	 XOR(xor(neg(x),x),x3) -> XOR(F,x3)
3.68/6.43	 XOR(xor(F,x),x3) -> XOR(x,x3)
3.68/6.43	 XOR(xor(x,x),x3) -> XOR(F,x3)
3.68/6.43	-> EAxioms:
3.68/6.43	 and(and(x3,x4),x5) = and(x3,and(x4,x5))
3.68/6.43	 and(x3,x4) = and(x4,x3)
3.68/6.43	 or(or(x3,x4),x5) = or(x3,or(x4,x5))
3.68/6.43	 or(x3,x4) = or(x4,x3)
3.68/6.43	 xor(xor(x3,x4),x5) = xor(x3,xor(x4,x5))
3.68/6.43	 xor(x3,x4) = xor(x4,x3)
3.68/6.43	-> Rules:
3.68/6.43	 and(xor(x,y),z) -> xor(and(x,z),and(y,z))
3.68/6.43	 and(F,x) -> F
3.68/6.43	 and(T,x) -> x
3.68/6.43	 and(x,x) -> x
3.68/6.43	 equiv(x,y) -> xor(xor(T,y),x)
3.68/6.43	 impl(x,y) -> xor(and(x,y),xor(T,x))
3.68/6.43	 neg(x) -> xor(T,x)
3.68/6.43	 or(x,y) -> xor(and(x,y),xor(x,y))
3.68/6.43	 xor(neg(x),x) -> F
3.68/6.43	 xor(F,x) -> x
3.68/6.43	 xor(x,x) -> F
3.68/6.43	-> SRules:
3.68/6.43	 AND(and(x3,x4),x5) -> AND(x3,x4)
3.68/6.43	 AND(x3,and(x4,x5)) -> AND(x4,x5)
3.68/6.43	 OR(or(x3,x4),x5) -> OR(x3,x4)
3.68/6.43	 OR(x3,or(x4,x5)) -> OR(x4,x5)
3.68/6.43	 XOR(xor(x3,x4),x5) -> XOR(x3,x4)
3.68/6.43	 XOR(x3,xor(x4,x5)) -> XOR(x4,x5)
3.68/6.43	
3.68/6.43	Problem 1: 
3.68/6.43	
3.68/6.43	SCC Processor:
3.68/6.43	-> FAxioms:
3.68/6.43	 AND(and(x3,x4),x5) = AND(x3,and(x4,x5))
3.68/6.43	 AND(x3,x4) = AND(x4,x3)
3.68/6.43	 OR(or(x3,x4),x5) = OR(x3,or(x4,x5))
3.68/6.43	 OR(x3,x4) = OR(x4,x3)
3.68/6.43	 XOR(xor(x3,x4),x5) = XOR(x3,xor(x4,x5))
3.68/6.43	 XOR(x3,x4) = XOR(x4,x3)
3.68/6.43	-> Pairs:
3.68/6.43	 AND(and(xor(x,y),z),x3) -> AND(xor(and(x,z),and(y,z)),x3)
3.68/6.43	 AND(and(xor(x,y),z),x3) -> AND(x,z)
3.68/6.43	 AND(and(xor(x,y),z),x3) -> AND(y,z)
3.68/6.43	 AND(and(xor(x,y),z),x3) -> XOR(and(x,z),and(y,z))

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