details

property	value
status	complete
benchmark	AC18.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n144.star.cs.uiowa.edu
space	AProVE_AC_04

run statistics

property	value
solver	muterm 5.18
configuration	default
runtime (wallclock)	7.78378 seconds
cpu usage	7.42867
user time	5.49896
system time	1.92971
max virtual memory	693924.0
max residence set size	20472.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR x y) (THEORY (AC plus times)) (RULES 0(S) -> S minus(x,y) -> plus(opp(y),x) opp(0(x)) -> 0(opp(x)) opp(1(x)) -> j(opp(x)) opp(S) -> S opp(j(x)) -> 1(opp(x)) plus(0(x),0(y)) -> 0(plus(x,y)) plus(0(x),1(y)) -> 1(plus(x,y)) plus(0(x),j(y)) -> j(plus(x,y)) plus(1(x),1(y)) -> j(plus(1(S),plus(x,y))) plus(1(x),j(y)) -> 0(plus(x,y)) plus(S,x) -> x plus(j(x),j(y)) -> 1(plus(j(S),plus(x,y))) times(0(x),y) -> 0(times(x,y)) times(1(x),y) -> plus(0(times(x,y)),y) times(S,x) -> S times(j(x),y) -> minus(0(times(x,y)),y) ) Problem 1: Dependency Pairs Processor: -> FAxioms: PLUS(plus(x2,x3),x4) = PLUS(x2,plus(x3,x4)) PLUS(x2,x3) = PLUS(x3,x2) TIMES(times(x2,x3),x4) = TIMES(x2,times(x3,x4)) TIMES(x2,x3) = TIMES(x3,x2) -> Pairs: MINUS(x,y) -> OPP(y) MINUS(x,y) -> PLUS(opp(y),x) OPP(0(x)) -> 0#(opp(x)) OPP(0(x)) -> OPP(x) OPP(1(x)) -> OPP(x) OPP(j(x)) -> OPP(x) PLUS(0(x),0(y)) -> 0#(plus(x,y)) PLUS(0(x),0(y)) -> PLUS(x,y) PLUS(0(x),1(y)) -> PLUS(x,y) PLUS(0(x),j(y)) -> PLUS(x,y) PLUS(plus(0(x),0(y)),x2) -> 0#(plus(x,y)) PLUS(plus(0(x),0(y)),x2) -> PLUS(0(plus(x,y)),x2) PLUS(plus(0(x),0(y)),x2) -> PLUS(x,y) PLUS(plus(0(x),1(y)),x2) -> PLUS(1(plus(x,y)),x2) PLUS(plus(0(x),1(y)),x2) -> PLUS(x,y) PLUS(plus(0(x),j(y)),x2) -> PLUS(j(plus(x,y)),x2) PLUS(plus(0(x),j(y)),x2) -> PLUS(x,y) PLUS(plus(1(x),1(y)),x2) -> PLUS(1(S),plus(x,y)) PLUS(plus(1(x),1(y)),x2) -> PLUS(j(plus(1(S),plus(x,y))),x2) PLUS(plus(1(x),1(y)),x2) -> PLUS(x,y) PLUS(plus(1(x),j(y)),x2) -> 0#(plus(x,y)) PLUS(plus(1(x),j(y)),x2) -> PLUS(0(plus(x,y)),x2) PLUS(plus(1(x),j(y)),x2) -> PLUS(x,y) PLUS(plus(S,x),x2) -> PLUS(x,x2) PLUS(plus(j(x),j(y)),x2) -> PLUS(1(plus(j(S),plus(x,y))),x2) PLUS(plus(j(x),j(y)),x2) -> PLUS(j(S),plus(x,y)) PLUS(plus(j(x),j(y)),x2) -> PLUS(x,y) PLUS(1(x),1(y)) -> PLUS(1(S),plus(x,y)) PLUS(1(x),1(y)) -> PLUS(x,y) PLUS(1(x),j(y)) -> 0#(plus(x,y)) PLUS(1(x),j(y)) -> PLUS(x,y) PLUS(j(x),j(y)) -> PLUS(j(S),plus(x,y)) PLUS(j(x),j(y)) -> PLUS(x,y) TIMES(0(x),y) -> 0#(times(x,y)) TIMES(0(x),y) -> TIMES(x,y) TIMES(times(0(x),y),x2) -> 0#(times(x,y)) TIMES(times(0(x),y),x2) -> TIMES(0(times(x,y)),x2) TIMES(times(0(x),y),x2) -> TIMES(x,y) TIMES(times(1(x),y),x2) -> 0#(times(x,y)) TIMES(times(1(x),y),x2) -> PLUS(0(times(x,y)),y) TIMES(times(1(x),y),x2) -> TIMES(plus(0(times(x,y)),y),x2) TIMES(times(1(x),y),x2) -> TIMES(x,y) TIMES(times(S,x),x2) -> TIMES(S,x2) TIMES(times(j(x),y),x2) -> 0#(times(x,y)) TIMES(times(j(x),y),x2) -> MINUS(0(times(x,y)),y) TIMES(times(j(x),y),x2) -> TIMES(minus(0(times(x,y)),y),x2) TIMES(times(j(x),y),x2) -> TIMES(x,y) TIMES(1(x),y) -> 0#(times(x,y)) TIMES(1(x),y) -> PLUS(0(times(x,y)),y) TIMES(1(x),y) -> TIMES(x,y) TIMES(j(x),y) -> 0#(times(x,y)) TIMES(j(x),y) -> MINUS(0(times(x,y)),y) TIMES(j(x),y) -> TIMES(x,y) -> EAxioms: plus(plus(x2,x3),x4) = plus(x2,plus(x3,x4)) plus(x2,x3) = plus(x3,x2) times(times(x2,x3),x4) = times(x2,times(x3,x4)) times(x2,x3) = times(x3,x2) -> Rules: 0(S) -> S minus(x,y) -> plus(opp(y),x) opp(0(x)) -> 0(opp(x)) opp(1(x)) -> j(opp(x)) opp(S) -> S popout

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

job log

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actions

all output return to TRS Equational