details

property	value
status	complete
benchmark	AC23.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n040.star.cs.uiowa.edu
space	AProVE_AC_04

run statistics

property	value
solver	muterm 5.18
configuration	default
runtime (wallclock)	15.4611 seconds
cpu usage	14.137
user time	10.5946
system time	3.54241
max virtual memory	699496.0
max residence set size	14048.0

stage attributes

key	value
starexec-result	YES

output

14.06/15.44 YES 14.06/15.44 14.06/15.44 Problem 1: 14.06/15.44 14.06/15.44 (VAR x y z) 14.06/15.44 (THEORY 14.06/15.44 (AC plus times)) 14.06/15.44 (RULES 14.06/15.44 plus(zero(x),zero(y)) -> zero(plus(x,y)) 14.06/15.44 plus(zero(x),un(y)) -> un(plus(x,y)) 14.06/15.44 plus(un(x),un(y)) -> zero(plus(x,plus(y,un(S)))) 14.06/15.44 plus(x,S) -> x 14.06/15.44 times(x,times(zero(y),z)) -> times(zero(times(x,y)),z) 14.06/15.44 times(x,times(S,z)) -> times(S,z) 14.06/15.44 times(x,times(un(y),z)) -> times(plus(x,zero(times(x,y))),z) 14.06/15.44 times(x,zero(y)) -> zero(times(x,y)) 14.06/15.44 times(x,S) -> S 14.06/15.44 times(x,un(y)) -> plus(x,zero(times(x,y))) 14.06/15.44 zero(S) -> S 14.06/15.44 ) 14.06/15.44 14.06/15.44 Problem 1: 14.06/15.44 14.06/15.44 Dependency Pairs Processor: 14.06/15.44 -> FAxioms: 14.06/15.44 PLUS(plus(x3,x4),x5) = PLUS(x3,plus(x4,x5)) 14.06/15.44 PLUS(x3,x4) = PLUS(x4,x3) 14.06/15.44 TIMES(times(x3,x4),x5) = TIMES(x3,times(x4,x5)) 14.06/15.44 TIMES(x3,x4) = TIMES(x4,x3) 14.06/15.44 -> Pairs: 14.06/15.44 PLUS(plus(zero(x),zero(y)),x3) -> PLUS(zero(plus(x,y)),x3) 14.06/15.44 PLUS(plus(zero(x),zero(y)),x3) -> PLUS(x,y) 14.06/15.44 PLUS(plus(zero(x),zero(y)),x3) -> ZERO(plus(x,y)) 14.06/15.44 PLUS(plus(zero(x),un(y)),x3) -> PLUS(un(plus(x,y)),x3) 14.06/15.44 PLUS(plus(zero(x),un(y)),x3) -> PLUS(x,y) 14.06/15.44 PLUS(plus(un(x),un(y)),x3) -> PLUS(zero(plus(x,plus(y,un(S)))),x3) 14.06/15.44 PLUS(plus(un(x),un(y)),x3) -> PLUS(x,plus(y,un(S))) 14.06/15.44 PLUS(plus(un(x),un(y)),x3) -> PLUS(y,un(S)) 14.06/15.44 PLUS(plus(un(x),un(y)),x3) -> ZERO(plus(x,plus(y,un(S)))) 14.06/15.44 PLUS(plus(x,S),x3) -> PLUS(x,x3) 14.06/15.44 PLUS(zero(x),zero(y)) -> PLUS(x,y) 14.06/15.44 PLUS(zero(x),zero(y)) -> ZERO(plus(x,y)) 14.06/15.44 PLUS(zero(x),un(y)) -> PLUS(x,y) 14.06/15.44 PLUS(un(x),un(y)) -> PLUS(x,plus(y,un(S))) 14.06/15.44 PLUS(un(x),un(y)) -> PLUS(y,un(S)) 14.06/15.44 PLUS(un(x),un(y)) -> ZERO(plus(x,plus(y,un(S)))) 14.06/15.44 TIMES(times(x,times(zero(y),z)),x3) -> TIMES(times(zero(times(x,y)),z),x3) 14.06/15.44 TIMES(times(x,times(zero(y),z)),x3) -> TIMES(zero(times(x,y)),z) 14.06/15.44 TIMES(times(x,times(zero(y),z)),x3) -> TIMES(x,y) 14.06/15.44 TIMES(times(x,times(zero(y),z)),x3) -> ZERO(times(x,y)) 14.06/15.44 TIMES(times(x,times(S,z)),x3) -> TIMES(times(S,z),x3) 14.06/15.44 TIMES(times(x,times(un(y),z)),x3) -> PLUS(x,zero(times(x,y))) 14.06/15.44 TIMES(times(x,times(un(y),z)),x3) -> TIMES(plus(x,zero(times(x,y))),z) 14.06/15.44 TIMES(times(x,times(un(y),z)),x3) -> TIMES(times(plus(x,zero(times(x,y))),z),x3) 14.06/15.44 TIMES(times(x,times(un(y),z)),x3) -> TIMES(x,y) 14.06/15.44 TIMES(times(x,times(un(y),z)),x3) -> ZERO(times(x,y)) 14.06/15.44 TIMES(times(x,zero(y)),x3) -> TIMES(zero(times(x,y)),x3) 14.06/15.44 TIMES(times(x,zero(y)),x3) -> TIMES(x,y) 14.06/15.44 TIMES(times(x,zero(y)),x3) -> ZERO(times(x,y)) 14.06/15.44 TIMES(times(x,S),x3) -> TIMES(S,x3) 14.06/15.44 TIMES(times(x,un(y)),x3) -> PLUS(x,zero(times(x,y))) 14.06/15.44 TIMES(times(x,un(y)),x3) -> TIMES(plus(x,zero(times(x,y))),x3) 14.06/15.44 TIMES(times(x,un(y)),x3) -> TIMES(x,y) 14.06/15.44 TIMES(times(x,un(y)),x3) -> ZERO(times(x,y)) 14.06/15.44 TIMES(x,times(zero(y),z)) -> TIMES(zero(times(x,y)),z) 14.06/15.44 TIMES(x,times(zero(y),z)) -> TIMES(x,y) 14.06/15.44 TIMES(x,times(zero(y),z)) -> ZERO(times(x,y)) 14.06/15.44 TIMES(x,times(un(y),z)) -> PLUS(x,zero(times(x,y))) 14.06/15.44 TIMES(x,times(un(y),z)) -> TIMES(plus(x,zero(times(x,y))),z) 14.06/15.44 TIMES(x,times(un(y),z)) -> TIMES(x,y) 14.06/15.44 TIMES(x,times(un(y),z)) -> ZERO(times(x,y)) 14.06/15.44 TIMES(x,zero(y)) -> TIMES(x,y) 14.06/15.44 TIMES(x,zero(y)) -> ZERO(times(x,y)) 14.06/15.44 TIMES(x,un(y)) -> PLUS(x,zero(times(x,y))) 14.06/15.44 TIMES(x,un(y)) -> TIMES(x,y) 14.06/15.44 TIMES(x,un(y)) -> ZERO(times(x,y)) 14.06/15.44 -> EAxioms: 14.06/15.44 plus(plus(x3,x4),x5) = plus(x3,plus(x4,x5)) 14.06/15.44 plus(x3,x4) = plus(x4,x3) 14.06/15.44 times(times(x3,x4),x5) = times(x3,times(x4,x5)) 14.06/15.44 times(x3,x4) = times(x4,x3) 14.06/15.44 -> Rules: 14.06/15.44 plus(zero(x),zero(y)) -> zero(plus(x,y)) 14.06/15.44 plus(zero(x),un(y)) -> un(plus(x,y)) 14.06/15.44 plus(un(x),un(y)) -> zero(plus(x,plus(y,un(S)))) 14.06/15.44 plus(x,S) -> x 14.06/15.44 times(x,times(zero(y),z)) -> times(zero(times(x,y)),z) 14.06/15.44 times(x,times(S,z)) -> times(S,z) 14.06/15.44 times(x,times(un(y),z)) -> times(plus(x,zero(times(x,y))),z) 14.06/15.44 times(x,zero(y)) -> zero(times(x,y)) 14.06/15.44 times(x,S) -> S 14.06/15.44 times(x,un(y)) -> plus(x,zero(times(x,y))) 14.06/15.44 zero(S) -> S 14.06/15.44 -> SRules: 14.06/15.44 PLUS(plus(x3,x4),x5) -> PLUS(x3,x4) 14.06/15.44 PLUS(x3,plus(x4,x5)) -> PLUS(x4,x5) 14.06/15.44 TIMES(times(x3,x4),x5) -> TIMES(x3,x4) 14.06/15.44 TIMES(x3,times(x4,x5)) -> TIMES(x4,x5) 14.06/15.44 14.06/15.44 Problem 1: popout

output may be truncated. 'popout' for the full output.

job log

popout

actions

all output return to TRS_Equational 2019-03-21 05.09