details

property	value
status	complete
benchmark	AC21.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n170.star.cs.uiowa.edu
space	AProVE_AC_04

run statistics

property	value
solver	muterm 5.18
configuration	default
runtime (wallclock)	8.82845 seconds
cpu usage	8.52136
user time	6.34046
system time	2.1809
max virtual memory	699540.0
max residence set size	30280.0

stage attributes

key	value
starexec-result	YES

output

8.47/8.79 YES 8.47/8.79 8.47/8.79 Problem 1: 8.47/8.79 8.47/8.79 (VAR u x y z) 8.47/8.79 (THEORY 8.47/8.79 (AC plus times)) 8.47/8.79 (RULES 8.47/8.79 0(S) -> S 8.47/8.79 abs(x) -> if_abs(x,x,S) 8.47/8.79 if_abs(0(x),y,z) -> if_abs(x,y,z) 8.47/8.79 if_abs(1(x),y,z) -> if_abs(x,y,1(S)) 8.47/8.79 if_abs(S,x,1(S)) -> x 8.47/8.79 if_abs(S,x,S) -> S 8.47/8.79 if_abs(S,x,j(S)) -> opp(x) 8.47/8.79 if_abs(j(x),y,z) -> if_abs(x,y,j(S)) 8.47/8.79 if_min(0(x),y,z,u) -> if_min(x,y,z,u) 8.47/8.79 if_min(1(x),y,z,u) -> if_min(x,y,z,1(S)) 8.47/8.79 if_min(S,x,y,1(S)) -> x 8.47/8.79 if_min(S,x,y,S) -> x 8.47/8.79 if_min(S,x,y,j(S)) -> y 8.47/8.79 if_min(j(x),y,z,u) -> if_min(x,y,z,j(S)) 8.47/8.79 if_sign(0(x),y) -> if_sign(x,y) 8.47/8.79 if_sign(1(x),y) -> if_sign(x,1(S)) 8.47/8.79 if_sign(S,x) -> x 8.47/8.79 if_sign(j(x),y) -> if_sign(x,j(S)) 8.47/8.79 min(x,y) -> if_min(minus(abs(y),abs(x)),x,y,S) 8.47/8.79 min'(x,y) -> if_min(minus(abs(1(y)),abs(1(x))),x,y,S) 8.47/8.79 min''(x,y) -> if_min(minus(abs(j(y)),abs(j(x))),x,y,S) 8.47/8.79 minus(x,y) -> plus(opp(y),x) 8.47/8.79 opp(0(x)) -> 0(opp(x)) 8.47/8.79 opp(1(x)) -> j(opp(x)) 8.47/8.79 opp(S) -> S 8.47/8.79 opp(j(x)) -> 1(opp(x)) 8.47/8.79 plus(0(x),0(y)) -> 0(plus(x,y)) 8.47/8.79 plus(0(x),1(y)) -> 1(plus(x,y)) 8.47/8.79 plus(0(x),j(y)) -> j(plus(x,y)) 8.47/8.79 plus(1(x),1(y)) -> j(plus(1(S),plus(x,y))) 8.47/8.79 plus(1(x),j(y)) -> 0(plus(x,y)) 8.47/8.79 plus(S,x) -> x 8.47/8.79 plus(j(x),j(y)) -> 1(plus(j(S),plus(x,y))) 8.47/8.79 sign(x) -> if_sign(x,S) 8.47/8.79 times(0(x),y) -> 0(times(x,y)) 8.47/8.79 times(1(x),y) -> plus(0(times(x,y)),y) 8.47/8.79 times(S,x) -> S 8.47/8.79 times(j(x),y) -> minus(0(times(x,y)),y) 8.47/8.79 ) 8.47/8.79 8.47/8.79 Problem 1: 8.47/8.79 8.47/8.79 Dependency Pairs Processor: 8.47/8.79 -> FAxioms: 8.47/8.79 PLUS(plus(x4,x5),x6) = PLUS(x4,plus(x5,x6)) 8.47/8.79 PLUS(x4,x5) = PLUS(x5,x4) 8.47/8.79 TIMES(times(x4,x5),x6) = TIMES(x4,times(x5,x6)) 8.47/8.79 TIMES(x4,x5) = TIMES(x5,x4) 8.47/8.79 -> Pairs: 8.47/8.79 ABS(x) -> IF_ABS(x,x,S) 8.47/8.79 IF_ABS(0(x),y,z) -> IF_ABS(x,y,z) 8.47/8.79 IF_ABS(1(x),y,z) -> IF_ABS(x,y,1(S)) 8.47/8.79 IF_ABS(S,x,j(S)) -> OPP(x) 8.47/8.79 IF_ABS(j(x),y,z) -> IF_ABS(x,y,j(S)) 8.47/8.79 IF_MIN(0(x),y,z,u) -> IF_MIN(x,y,z,u) 8.47/8.79 IF_MIN(1(x),y,z,u) -> IF_MIN(x,y,z,1(S)) 8.47/8.79 IF_MIN(j(x),y,z,u) -> IF_MIN(x,y,z,j(S)) 8.47/8.79 IF_SIGN(0(x),y) -> IF_SIGN(x,y) 8.47/8.79 IF_SIGN(1(x),y) -> IF_SIGN(x,1(S)) 8.47/8.79 IF_SIGN(j(x),y) -> IF_SIGN(x,j(S)) 8.47/8.79 MIN(x,y) -> ABS(x) 8.47/8.79 MIN(x,y) -> ABS(y) 8.47/8.79 MIN(x,y) -> IF_MIN(minus(abs(y),abs(x)),x,y,S) 8.47/8.79 MIN(x,y) -> MINUS(abs(y),abs(x)) 8.47/8.79 MIN'(x,y) -> ABS(1(x)) 8.47/8.79 MIN'(x,y) -> ABS(1(y)) 8.47/8.79 MIN'(x,y) -> IF_MIN(minus(abs(1(y)),abs(1(x))),x,y,S) 8.47/8.79 MIN'(x,y) -> MINUS(abs(1(y)),abs(1(x))) 8.47/8.79 MIN''(x,y) -> ABS(j(x)) 8.47/8.79 MIN''(x,y) -> ABS(j(y)) 8.47/8.79 MIN''(x,y) -> IF_MIN(minus(abs(j(y)),abs(j(x))),x,y,S) 8.47/8.79 MIN''(x,y) -> MINUS(abs(j(y)),abs(j(x))) 8.47/8.79 MINUS(x,y) -> OPP(y) 8.47/8.79 MINUS(x,y) -> PLUS(opp(y),x) 8.47/8.79 OPP(0(x)) -> 0#(opp(x)) 8.47/8.79 OPP(0(x)) -> OPP(x) 8.47/8.79 OPP(1(x)) -> OPP(x) 8.47/8.79 OPP(j(x)) -> OPP(x) 8.47/8.79 PLUS(0(x),0(y)) -> 0#(plus(x,y)) 8.47/8.79 PLUS(0(x),0(y)) -> PLUS(x,y) 8.47/8.79 PLUS(0(x),1(y)) -> PLUS(x,y) 8.47/8.79 PLUS(0(x),j(y)) -> PLUS(x,y) 8.47/8.79 PLUS(plus(0(x),0(y)),x4) -> 0#(plus(x,y)) 8.47/8.79 PLUS(plus(0(x),0(y)),x4) -> PLUS(0(plus(x,y)),x4) 8.47/8.79 PLUS(plus(0(x),0(y)),x4) -> PLUS(x,y) 8.47/8.79 PLUS(plus(0(x),1(y)),x4) -> PLUS(1(plus(x,y)),x4) 8.47/8.79 PLUS(plus(0(x),1(y)),x4) -> PLUS(x,y) 8.47/8.79 PLUS(plus(0(x),j(y)),x4) -> PLUS(j(plus(x,y)),x4) 8.47/8.79 PLUS(plus(0(x),j(y)),x4) -> PLUS(x,y) 8.47/8.79 PLUS(plus(1(x),1(y)),x4) -> PLUS(1(S),plus(x,y)) 8.47/8.79 PLUS(plus(1(x),1(y)),x4) -> PLUS(j(plus(1(S),plus(x,y))),x4) 8.47/8.79 PLUS(plus(1(x),1(y)),x4) -> PLUS(x,y) popout

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

job log

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actions

all output return to TRS_Equational 2019-03-21 05.09