TRS_Equational 2019-03-21 05.09 pair #429997349

details

property	value
status	complete
benchmark	bag-sum-prod-distr.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n068.star.cs.uiowa.edu
space	Mixed_AC

run statistics

property	value
solver	muterm 5.18
configuration	default
runtime (wallclock)	17.5748 seconds
cpu usage	16.6575
user time	12.8676
system time	3.78991
max virtual memory	716008.0
max residence set size	26904.0

stage attributes

key	value
starexec-result	YES

output

16.60/17.56	YES
16.60/17.56	
16.60/17.56	Problem 1: 
16.60/17.56	
16.60/17.56	(VAR b x y z)
16.60/17.56	(THEORY 
16.60/17.56	(AC * + U))
16.60/17.56	(RULES
16.60/17.56	*(+(y,z),x) -> +(*(x,y),*(x,z))
16.60/17.56	*(0(x),y) -> 0(*(x,y))
16.60/17.56	*(#,x) -> #
16.60/17.56	*(1(x),y) -> +(0(*(x,y)),y)
16.60/17.56	+(0(x),0(y)) -> 0(+(x,y))
16.60/17.56	+(0(x),1(y)) -> 1(+(x,y))
16.60/17.56	+(#,x) -> x
16.60/17.56	+(1(x),1(y)) -> 0(+(1(#),+(x,y)))
16.60/17.56	0(#) -> #
16.60/17.56	U(empty,b) -> b
16.60/17.56	prod(U(x,y)) -> *(prod(x),prod(y))
16.60/17.56	prod(empty) -> 1(#)
16.60/17.56	prod(singl(x)) -> x
16.60/17.56	sum(U(x,y)) -> +(sum(x),sum(y))
16.60/17.56	sum(empty) -> 0(#)
16.60/17.56	sum(singl(x)) -> x
16.60/17.56	)
16.60/17.56	
16.60/17.56	Problem 1: 
16.60/17.56	
16.60/17.56	Dependency Pairs Processor:
16.60/17.56	-> FAxioms:
16.60/17.56	 *#(*(x4,x5),x6) = *#(x4,*(x5,x6))
16.60/17.56	 *#(x4,x5) = *#(x5,x4)
16.60/17.56	 +#(+(x4,x5),x6) = +#(x4,+(x5,x6))
16.60/17.56	 +#(x4,x5) = +#(x5,x4)
16.60/17.56	 U#(U(x4,x5),x6) = U#(x4,U(x5,x6))
16.60/17.56	 U#(x4,x5) = U#(x5,x4)
16.60/17.56	-> Pairs:
16.60/17.56	 *#(*(+(y,z),x),x4) -> *#(+(*(x,y),*(x,z)),x4)
16.60/17.56	 *#(*(+(y,z),x),x4) -> *#(x,y)
16.60/17.56	 *#(*(+(y,z),x),x4) -> *#(x,z)
16.60/17.56	 *#(*(+(y,z),x),x4) -> +#(*(x,y),*(x,z))
16.60/17.56	 *#(*(0(x),y),x4) -> *#(0(*(x,y)),x4)
16.60/17.56	 *#(*(0(x),y),x4) -> *#(x,y)
16.60/17.56	 *#(*(0(x),y),x4) -> 0#(*(x,y))
16.60/17.56	 *#(*(#,x),x4) -> *#(#,x4)
16.60/17.56	 *#(*(1(x),y),x4) -> *#(+(0(*(x,y)),y),x4)
16.60/17.56	 *#(*(1(x),y),x4) -> *#(x,y)
16.60/17.56	 *#(*(1(x),y),x4) -> +#(0(*(x,y)),y)
16.60/17.56	 *#(*(1(x),y),x4) -> 0#(*(x,y))
16.60/17.56	 *#(+(y,z),x) -> *#(x,y)
16.60/17.56	 *#(+(y,z),x) -> *#(x,z)
16.60/17.56	 *#(+(y,z),x) -> +#(*(x,y),*(x,z))
16.60/17.56	 *#(0(x),y) -> *#(x,y)
16.60/17.56	 *#(0(x),y) -> 0#(*(x,y))
16.60/17.56	 *#(1(x),y) -> *#(x,y)
16.60/17.56	 *#(1(x),y) -> +#(0(*(x,y)),y)
16.60/17.56	 *#(1(x),y) -> 0#(*(x,y))
16.60/17.56	 +#(+(0(x),0(y)),x4) -> +#(0(+(x,y)),x4)
16.60/17.56	 +#(+(0(x),0(y)),x4) -> +#(x,y)
16.60/17.56	 +#(+(0(x),0(y)),x4) -> 0#(+(x,y))
16.60/17.56	 +#(+(0(x),1(y)),x4) -> +#(1(+(x,y)),x4)
16.60/17.56	 +#(+(0(x),1(y)),x4) -> +#(x,y)
16.60/17.56	 +#(+(#,x),x4) -> +#(x,x4)
16.60/17.56	 +#(+(1(x),1(y)),x4) -> +#(0(+(1(#),+(x,y))),x4)
16.60/17.56	 +#(+(1(x),1(y)),x4) -> +#(1(#),+(x,y))
16.60/17.56	 +#(+(1(x),1(y)),x4) -> +#(x,y)
16.60/17.56	 +#(+(1(x),1(y)),x4) -> 0#(+(1(#),+(x,y)))
16.60/17.56	 +#(0(x),0(y)) -> +#(x,y)
16.60/17.56	 +#(0(x),0(y)) -> 0#(+(x,y))
16.60/17.56	 +#(0(x),1(y)) -> +#(x,y)
16.60/17.56	 +#(1(x),1(y)) -> +#(1(#),+(x,y))
16.60/17.56	 +#(1(x),1(y)) -> +#(x,y)
16.60/17.56	 +#(1(x),1(y)) -> 0#(+(1(#),+(x,y)))
16.60/17.56	 U#(U(empty,b),x4) -> U#(b,x4)
16.60/17.56	 PROD(U(x,y)) -> *#(prod(x),prod(y))
16.60/17.56	 PROD(U(x,y)) -> PROD(x)
16.60/17.56	 PROD(U(x,y)) -> PROD(y)
16.60/17.56	 SUM(U(x,y)) -> +#(sum(x),sum(y))
16.60/17.56	 SUM(U(x,y)) -> SUM(x)
16.60/17.56	 SUM(U(x,y)) -> SUM(y)
16.60/17.56	 SUM(empty) -> 0#(#)
16.60/17.56	-> EAxioms:
16.60/17.56	 *(*(x4,x5),x6) = *(x4,*(x5,x6))
16.60/17.56	 *(x4,x5) = *(x5,x4)
16.60/17.56	 +(+(x4,x5),x6) = +(x4,+(x5,x6))
16.60/17.56	 +(x4,x5) = +(x5,x4)
16.60/17.56	 U(U(x4,x5),x6) = U(x4,U(x5,x6))
16.60/17.56	 U(x4,x5) = U(x5,x4)
16.60/17.56	-> Rules:
16.60/17.56	 *(+(y,z),x) -> +(*(x,y),*(x,z))
16.60/17.56	 *(0(x),y) -> 0(*(x,y))
16.60/17.56	 *(#,x) -> #
16.60/17.56	 *(1(x),y) -> +(0(*(x,y)),y)
16.60/17.56	 +(0(x),0(y)) -> 0(+(x,y))
16.60/17.56	 +(0(x),1(y)) -> 1(+(x,y))
16.60/17.56	 +(#,x) -> x
16.60/17.56	 +(1(x),1(y)) -> 0(+(1(#),+(x,y)))
16.60/17.56	 0(#) -> #
16.60/17.56	 U(empty,b) -> b
16.60/17.56	 prod(U(x,y)) -> *(prod(x),prod(y))

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