details

property	value
status	complete
benchmark	AC54.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n094.star.cs.uiowa.edu
space	AProVE_AC_04

run statistics

property	value
solver	muterm 5.18
configuration	default
runtime (wallclock)	0.629366 seconds
cpu usage	0.575263
user time	0.348625
system time	0.226638
max virtual memory	677200.0
max residence set size	8164.0

stage attributes

key	value
starexec-result	YES

output

0.53/0.62 YES 0.53/0.62 0.53/0.62 Problem 1: 0.53/0.62 0.53/0.62 (VAR k l x y z) 0.53/0.62 (THEORY 0.53/0.62 (AC plus)) 0.53/0.62 (RULES 0.53/0.62 app(cons(x,l),k) -> cons(x,app(l,k)) 0.53/0.62 app(nil,k) -> k 0.53/0.62 app(l,nil) -> l 0.53/0.62 minus(minus(x,y),z) -> minus(x,plus(y,z)) 0.53/0.62 minus(s(x),s(y)) -> minus(x,y) 0.53/0.62 minus(x,0) -> x 0.53/0.62 plus(0,y) -> y 0.53/0.62 plus(s(x),y) -> s(plus(x,y)) 0.53/0.62 quot(0,s(y)) -> 0 0.53/0.62 quot(s(x),s(y)) -> s(quot(minus(x,y),s(y))) 0.53/0.62 sum(app(l,cons(x,cons(y,k)))) -> sum(app(l,sum(cons(x,cons(y,k))))) 0.53/0.62 sum(cons(x,cons(y,l))) -> sum(cons(plus(x,y),l)) 0.53/0.62 sum(cons(x,nil)) -> cons(x,nil) 0.53/0.62 ) 0.53/0.62 0.53/0.62 Problem 1: 0.53/0.62 0.53/0.62 Dependency Pairs Processor: 0.53/0.62 -> FAxioms: 0.53/0.62 PLUS(plus(x5,x6),x7) = PLUS(x5,plus(x6,x7)) 0.53/0.62 PLUS(x5,x6) = PLUS(x6,x5) 0.53/0.62 -> Pairs: 0.53/0.62 APP(cons(x,l),k) -> APP(l,k) 0.53/0.62 MINUS(minus(x,y),z) -> MINUS(x,plus(y,z)) 0.53/0.62 MINUS(minus(x,y),z) -> PLUS(y,z) 0.53/0.62 MINUS(s(x),s(y)) -> MINUS(x,y) 0.53/0.62 PLUS(plus(0,y),x5) -> PLUS(y,x5) 0.53/0.62 PLUS(plus(s(x),y),x5) -> PLUS(s(plus(x,y)),x5) 0.53/0.62 PLUS(plus(s(x),y),x5) -> PLUS(x,y) 0.53/0.62 PLUS(s(x),y) -> PLUS(x,y) 0.53/0.62 QUOT(s(x),s(y)) -> MINUS(x,y) 0.53/0.62 QUOT(s(x),s(y)) -> QUOT(minus(x,y),s(y)) 0.53/0.62 SUM(app(l,cons(x,cons(y,k)))) -> APP(l,sum(cons(x,cons(y,k)))) 0.53/0.62 SUM(app(l,cons(x,cons(y,k)))) -> SUM(app(l,sum(cons(x,cons(y,k))))) 0.53/0.62 SUM(app(l,cons(x,cons(y,k)))) -> SUM(cons(x,cons(y,k))) 0.53/0.62 SUM(cons(x,cons(y,l))) -> PLUS(x,y) 0.53/0.62 SUM(cons(x,cons(y,l))) -> SUM(cons(plus(x,y),l)) 0.53/0.62 -> EAxioms: 0.53/0.62 plus(plus(x5,x6),x7) = plus(x5,plus(x6,x7)) 0.53/0.62 plus(x5,x6) = plus(x6,x5) 0.53/0.62 -> Rules: 0.53/0.62 app(cons(x,l),k) -> cons(x,app(l,k)) 0.53/0.62 app(nil,k) -> k 0.53/0.62 app(l,nil) -> l 0.53/0.62 minus(minus(x,y),z) -> minus(x,plus(y,z)) 0.53/0.62 minus(s(x),s(y)) -> minus(x,y) 0.53/0.62 minus(x,0) -> x 0.53/0.62 plus(0,y) -> y 0.53/0.62 plus(s(x),y) -> s(plus(x,y)) 0.53/0.62 quot(0,s(y)) -> 0 0.53/0.62 quot(s(x),s(y)) -> s(quot(minus(x,y),s(y))) 0.53/0.62 sum(app(l,cons(x,cons(y,k)))) -> sum(app(l,sum(cons(x,cons(y,k))))) 0.53/0.62 sum(cons(x,cons(y,l))) -> sum(cons(plus(x,y),l)) 0.53/0.62 sum(cons(x,nil)) -> cons(x,nil) 0.53/0.62 -> SRules: 0.53/0.62 PLUS(plus(x5,x6),x7) -> PLUS(x5,x6) 0.53/0.62 PLUS(x5,plus(x6,x7)) -> PLUS(x6,x7) 0.53/0.62 0.53/0.62 Problem 1: 0.53/0.62 0.53/0.62 SCC Processor: 0.53/0.62 -> FAxioms: 0.53/0.62 PLUS(plus(x5,x6),x7) = PLUS(x5,plus(x6,x7)) 0.53/0.62 PLUS(x5,x6) = PLUS(x6,x5) 0.53/0.62 -> Pairs: 0.53/0.62 APP(cons(x,l),k) -> APP(l,k) 0.53/0.62 MINUS(minus(x,y),z) -> MINUS(x,plus(y,z)) 0.53/0.62 MINUS(minus(x,y),z) -> PLUS(y,z) 0.53/0.62 MINUS(s(x),s(y)) -> MINUS(x,y) 0.53/0.62 PLUS(plus(0,y),x5) -> PLUS(y,x5) 0.53/0.62 PLUS(plus(s(x),y),x5) -> PLUS(s(plus(x,y)),x5) 0.53/0.62 PLUS(plus(s(x),y),x5) -> PLUS(x,y) 0.53/0.62 PLUS(s(x),y) -> PLUS(x,y) 0.53/0.62 QUOT(s(x),s(y)) -> MINUS(x,y) 0.53/0.62 QUOT(s(x),s(y)) -> QUOT(minus(x,y),s(y)) 0.53/0.62 SUM(app(l,cons(x,cons(y,k)))) -> APP(l,sum(cons(x,cons(y,k)))) 0.53/0.62 SUM(app(l,cons(x,cons(y,k)))) -> SUM(app(l,sum(cons(x,cons(y,k))))) 0.53/0.62 SUM(app(l,cons(x,cons(y,k)))) -> SUM(cons(x,cons(y,k))) 0.53/0.62 SUM(cons(x,cons(y,l))) -> PLUS(x,y) 0.53/0.62 SUM(cons(x,cons(y,l))) -> SUM(cons(plus(x,y),l)) 0.53/0.62 -> EAxioms: 0.53/0.62 plus(plus(x5,x6),x7) = plus(x5,plus(x6,x7)) 0.53/0.62 plus(x5,x6) = plus(x6,x5) 0.53/0.62 -> Rules: 0.53/0.62 app(cons(x,l),k) -> cons(x,app(l,k)) 0.53/0.62 app(nil,k) -> k 0.53/0.62 app(l,nil) -> l 0.53/0.62 minus(minus(x,y),z) -> minus(x,plus(y,z)) 0.53/0.62 minus(s(x),s(y)) -> minus(x,y) 0.53/0.62 minus(x,0) -> x 0.53/0.62 plus(0,y) -> y 0.53/0.62 plus(s(x),y) -> s(plus(x,y)) popout

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all output return to TRS_Equational 2019-03-21 05.09