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	n142.star.cs.uiowa.edu
space	AProVE_AC_04

run statistics

property	value
solver	muterm 5.18
configuration	default
runtime (wallclock)	15.2833 seconds
cpu usage	13.8971
user time	10.5893
system time	3.30774
max virtual memory	699552.0
max residence set size	13452.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR x y z) (THEORY (AC plus times)) (RULES plus(zero(x),zero(y)) -> zero(plus(x,y)) plus(zero(x),un(y)) -> un(plus(x,y)) plus(un(x),un(y)) -> zero(plus(x,plus(y,un(S)))) plus(x,S) -> x times(x,times(zero(y),z)) -> times(zero(times(x,y)),z) times(x,times(S,z)) -> times(S,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,S) -> S times(x,un(y)) -> plus(x,zero(times(x,y))) zero(S) -> S ) 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: 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),un(y)),x3) -> PLUS(un(plus(x,y)),x3) PLUS(plus(zero(x),un(y)),x3) -> PLUS(x,y) PLUS(plus(un(x),un(y)),x3) -> PLUS(zero(plus(x,plus(y,un(S)))),x3) PLUS(plus(un(x),un(y)),x3) -> PLUS(x,plus(y,un(S))) PLUS(plus(un(x),un(y)),x3) -> PLUS(y,un(S)) PLUS(plus(un(x),un(y)),x3) -> ZERO(plus(x,plus(y,un(S)))) PLUS(plus(x,S),x3) -> PLUS(x,x3) PLUS(zero(x),zero(y)) -> PLUS(x,y) PLUS(zero(x),zero(y)) -> ZERO(plus(x,y)) PLUS(zero(x),un(y)) -> PLUS(x,y) PLUS(un(x),un(y)) -> PLUS(x,plus(y,un(S))) PLUS(un(x),un(y)) -> PLUS(y,un(S)) PLUS(un(x),un(y)) -> ZERO(plus(x,plus(y,un(S)))) 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(S,z)),x3) -> TIMES(times(S,z),x3) 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,S),x3) -> TIMES(S,x3) 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) TIMES(times(x,un(y)),x3) -> TIMES(x,y) TIMES(times(x,un(y)),x3) -> ZERO(times(x,y)) TIMES(x,times(zero(y),z)) -> TIMES(zero(times(x,y)),z) TIMES(x,times(zero(y),z)) -> TIMES(x,y) TIMES(x,times(zero(y),z)) -> ZERO(times(x,y)) TIMES(x,times(un(y),z)) -> PLUS(x,zero(times(x,y))) TIMES(x,times(un(y),z)) -> TIMES(plus(x,zero(times(x,y))),z) TIMES(x,times(un(y),z)) -> TIMES(x,y) TIMES(x,times(un(y),z)) -> ZERO(times(x,y)) TIMES(x,zero(y)) -> TIMES(x,y) TIMES(x,zero(y)) -> ZERO(times(x,y)) TIMES(x,un(y)) -> PLUS(x,zero(times(x,y))) TIMES(x,un(y)) -> TIMES(x,y) TIMES(x,un(y)) -> ZERO(times(x,y)) -> EAxioms: 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) -> Rules: plus(zero(x),zero(y)) -> zero(plus(x,y)) plus(zero(x),un(y)) -> un(plus(x,y)) plus(un(x),un(y)) -> zero(plus(x,plus(y,un(S)))) plus(x,S) -> x times(x,times(zero(y),z)) -> times(zero(times(x,y)),z) times(x,times(S,z)) -> times(S,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,S) -> S times(x,un(y)) -> plus(x,zero(times(x,y))) zero(S) -> S -> SRules: PLUS(plus(x3,x4),x5) -> PLUS(x3,x4) PLUS(x3,plus(x4,x5)) -> PLUS(x4,x5) TIMES(times(x3,x4),x5) -> TIMES(x3,x4) TIMES(x3,times(x4,x5)) -> TIMES(x4,x5) Problem 1: popout

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

job log

popout

actions

all output return to TRS Equational