details

property	value
status	complete
benchmark	AC22.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n150.star.cs.uiowa.edu
space	AProVE_AC_04

run statistics

property	value
solver	muterm 5.18
configuration	default
runtime (wallclock)	74.6588 seconds
cpu usage	65.4932
user time	51.6796
system time	13.8136
max virtual memory	813060.0
max residence set size	36764.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR x y z) (THEORY (AC plus times)) (RULES minus(x,y) -> plus(x,neg(y)) neg(zero(x)) -> zero(neg(x)) neg(0) -> 0 neg(j(x)) -> un(neg(x)) neg(un(x)) -> j(neg(x)) plus(zero(x),zero(y)) -> zero(plus(x,y)) plus(zero(x),j(y)) -> j(plus(x,y)) plus(zero(x),un(y)) -> un(plus(x,y)) plus(j(x),j(y)) -> un(plus(x,plus(y,j(0)))) plus(un(x),j(y)) -> zero(plus(x,y)) plus(un(x),un(y)) -> j(plus(x,plus(y,un(0)))) plus(x,0) -> x times(x,times(zero(y),z)) -> times(zero(times(x,y)),z) times(x,times(0,z)) -> times(0,z) times(x,times(j(y),z)) -> times(plus(zero(times(x,y)),neg(x)),z) times(x,times(un(y),z)) -> times(plus(x,zero(times(x,y))),z) times(x,zero(y)) -> zero(times(x,y)) times(x,0) -> 0 times(x,j(y)) -> plus(zero(times(x,y)),neg(x)) times(x,un(y)) -> plus(x,zero(times(x,y))) zero(0) -> 0 ) Problem 1: Dependency Pairs Processor: -> FAxioms: PLUS(plus(x3,x4),x5) = PLUS(x3,plus(x4,x5)) PLUS(x3,x4) = PLUS(x4,x3) TIMES(times(x3,x4),x5) = TIMES(x3,times(x4,x5)) TIMES(x3,x4) = TIMES(x4,x3) -> Pairs: MINUS(x,y) -> NEG(y) MINUS(x,y) -> PLUS(x,neg(y)) NEG(zero(x)) -> NEG(x) NEG(zero(x)) -> ZERO(neg(x)) NEG(j(x)) -> NEG(x) NEG(un(x)) -> NEG(x) PLUS(plus(zero(x),zero(y)),x3) -> PLUS(zero(plus(x,y)),x3) PLUS(plus(zero(x),zero(y)),x3) -> PLUS(x,y) PLUS(plus(zero(x),zero(y)),x3) -> ZERO(plus(x,y)) PLUS(plus(zero(x),j(y)),x3) -> PLUS(j(plus(x,y)),x3) PLUS(plus(zero(x),j(y)),x3) -> PLUS(x,y) PLUS(plus(zero(x),un(y)),x3) -> PLUS(un(plus(x,y)),x3) PLUS(plus(zero(x),un(y)),x3) -> PLUS(x,y) PLUS(plus(j(x),j(y)),x3) -> PLUS(un(plus(x,plus(y,j(0)))),x3) PLUS(plus(j(x),j(y)),x3) -> PLUS(x,plus(y,j(0))) PLUS(plus(j(x),j(y)),x3) -> PLUS(y,j(0)) PLUS(plus(un(x),j(y)),x3) -> PLUS(zero(plus(x,y)),x3) PLUS(plus(un(x),j(y)),x3) -> PLUS(x,y) PLUS(plus(un(x),j(y)),x3) -> ZERO(plus(x,y)) PLUS(plus(un(x),un(y)),x3) -> PLUS(j(plus(x,plus(y,un(0)))),x3) PLUS(plus(un(x),un(y)),x3) -> PLUS(x,plus(y,un(0))) PLUS(plus(un(x),un(y)),x3) -> PLUS(y,un(0)) PLUS(plus(x,0),x3) -> PLUS(x,x3) PLUS(zero(x),zero(y)) -> PLUS(x,y) PLUS(zero(x),zero(y)) -> ZERO(plus(x,y)) PLUS(zero(x),j(y)) -> PLUS(x,y) PLUS(zero(x),un(y)) -> PLUS(x,y) PLUS(j(x),j(y)) -> PLUS(x,plus(y,j(0))) PLUS(j(x),j(y)) -> PLUS(y,j(0)) PLUS(un(x),j(y)) -> PLUS(x,y) PLUS(un(x),j(y)) -> ZERO(plus(x,y)) PLUS(un(x),un(y)) -> PLUS(x,plus(y,un(0))) PLUS(un(x),un(y)) -> PLUS(y,un(0)) TIMES(times(x,times(zero(y),z)),x3) -> TIMES(times(zero(times(x,y)),z),x3) TIMES(times(x,times(zero(y),z)),x3) -> TIMES(zero(times(x,y)),z) TIMES(times(x,times(zero(y),z)),x3) -> TIMES(x,y) TIMES(times(x,times(zero(y),z)),x3) -> ZERO(times(x,y)) TIMES(times(x,times(0,z)),x3) -> TIMES(times(0,z),x3) TIMES(times(x,times(j(y),z)),x3) -> NEG(x) TIMES(times(x,times(j(y),z)),x3) -> PLUS(zero(times(x,y)),neg(x)) TIMES(times(x,times(j(y),z)),x3) -> TIMES(plus(zero(times(x,y)),neg(x)),z) TIMES(times(x,times(j(y),z)),x3) -> TIMES(times(plus(zero(times(x,y)),neg(x)),z),x3) TIMES(times(x,times(j(y),z)),x3) -> TIMES(x,y) TIMES(times(x,times(j(y),z)),x3) -> ZERO(times(x,y)) TIMES(times(x,times(un(y),z)),x3) -> PLUS(x,zero(times(x,y))) TIMES(times(x,times(un(y),z)),x3) -> TIMES(plus(x,zero(times(x,y))),z) TIMES(times(x,times(un(y),z)),x3) -> TIMES(times(plus(x,zero(times(x,y))),z),x3) TIMES(times(x,times(un(y),z)),x3) -> TIMES(x,y) TIMES(times(x,times(un(y),z)),x3) -> ZERO(times(x,y)) TIMES(times(x,zero(y)),x3) -> TIMES(zero(times(x,y)),x3) TIMES(times(x,zero(y)),x3) -> TIMES(x,y) TIMES(times(x,zero(y)),x3) -> ZERO(times(x,y)) TIMES(times(x,0),x3) -> TIMES(0,x3) TIMES(times(x,j(y)),x3) -> NEG(x) TIMES(times(x,j(y)),x3) -> PLUS(zero(times(x,y)),neg(x)) TIMES(times(x,j(y)),x3) -> TIMES(plus(zero(times(x,y)),neg(x)),x3) TIMES(times(x,j(y)),x3) -> TIMES(x,y) TIMES(times(x,j(y)),x3) -> ZERO(times(x,y)) TIMES(times(x,un(y)),x3) -> PLUS(x,zero(times(x,y))) TIMES(times(x,un(y)),x3) -> TIMES(plus(x,zero(times(x,y))),x3) popout

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

job log

popout

actions

all output return to TRS Equational