details

property	value
status	complete
benchmark	BAG_nosorts.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n127.star.cs.uiowa.edu
space	Mixed_AC

run statistics

property	value
solver	muterm 5.18
configuration	default
runtime (wallclock)	3.16937 seconds
cpu usage	2.7032
user time	1.83062
system time	0.87258
max virtual memory	678224.0
max residence set size	15960.0

stage attributes

key	value
starexec-result	YES

output

2.59/3.15 YES 2.59/3.15 2.59/3.15 Problem 1: 2.59/3.15 2.59/3.15 (VAR A B X Y) 2.59/3.15 (THEORY 2.59/3.15 (AC mult plus union)) 2.59/3.15 (RULES 2.59/3.15 0(z) -> z 2.59/3.15 and(tt,X) -> X 2.59/3.15 mult(0(X),Y) -> 0(mult(X,Y)) 2.59/3.15 mult(1(X),Y) -> plus(0(mult(X,Y)),Y) 2.59/3.15 mult(z,X) -> z 2.59/3.15 plus(0(X),0(Y)) -> 0(plus(X,Y)) 2.59/3.15 plus(0(X),1(Y)) -> 1(plus(X,Y)) 2.59/3.15 plus(1(X),1(Y)) -> 0(plus(plus(X,Y),1(z))) 2.59/3.15 plus(z,X) -> X 2.59/3.15 prod(union(A,B)) -> mult(prod(A),prod(B)) 2.59/3.15 prod(empty) -> 1(z) 2.59/3.15 prod(singl(X)) -> X 2.59/3.15 sum(union(A,B)) -> plus(sum(A),sum(B)) 2.59/3.15 sum(empty) -> 0(z) 2.59/3.15 sum(singl(X)) -> X 2.59/3.15 union(empty,X) -> X 2.59/3.15 union(X,empty) -> X 2.59/3.15 ) 2.59/3.15 2.59/3.15 Problem 1: 2.59/3.15 2.59/3.15 Dependency Pairs Processor: 2.59/3.15 -> FAxioms: 2.59/3.15 MULT(mult(x4,x5),x6) = MULT(x4,mult(x5,x6)) 2.59/3.15 MULT(x4,x5) = MULT(x5,x4) 2.59/3.15 PLUS(plus(x4,x5),x6) = PLUS(x4,plus(x5,x6)) 2.59/3.15 PLUS(x4,x5) = PLUS(x5,x4) 2.59/3.15 UNION(union(x4,x5),x6) = UNION(x4,union(x5,x6)) 2.59/3.15 UNION(x4,x5) = UNION(x5,x4) 2.59/3.15 -> Pairs: 2.59/3.15 MULT(0(X),Y) -> 0#(mult(X,Y)) 2.59/3.15 MULT(0(X),Y) -> MULT(X,Y) 2.59/3.15 MULT(mult(0(X),Y),x4) -> 0#(mult(X,Y)) 2.59/3.15 MULT(mult(0(X),Y),x4) -> MULT(0(mult(X,Y)),x4) 2.59/3.15 MULT(mult(0(X),Y),x4) -> MULT(X,Y) 2.59/3.15 MULT(mult(1(X),Y),x4) -> 0#(mult(X,Y)) 2.59/3.15 MULT(mult(1(X),Y),x4) -> MULT(plus(0(mult(X,Y)),Y),x4) 2.59/3.15 MULT(mult(1(X),Y),x4) -> MULT(X,Y) 2.59/3.15 MULT(mult(1(X),Y),x4) -> PLUS(0(mult(X,Y)),Y) 2.59/3.15 MULT(mult(z,X),x4) -> MULT(z,x4) 2.59/3.15 MULT(1(X),Y) -> 0#(mult(X,Y)) 2.59/3.15 MULT(1(X),Y) -> MULT(X,Y) 2.59/3.15 MULT(1(X),Y) -> PLUS(0(mult(X,Y)),Y) 2.59/3.15 PLUS(0(X),0(Y)) -> 0#(plus(X,Y)) 2.59/3.15 PLUS(0(X),0(Y)) -> PLUS(X,Y) 2.59/3.15 PLUS(0(X),1(Y)) -> PLUS(X,Y) 2.59/3.15 PLUS(plus(0(X),0(Y)),x4) -> 0#(plus(X,Y)) 2.59/3.15 PLUS(plus(0(X),0(Y)),x4) -> PLUS(0(plus(X,Y)),x4) 2.59/3.15 PLUS(plus(0(X),0(Y)),x4) -> PLUS(X,Y) 2.59/3.15 PLUS(plus(0(X),1(Y)),x4) -> PLUS(1(plus(X,Y)),x4) 2.59/3.15 PLUS(plus(0(X),1(Y)),x4) -> PLUS(X,Y) 2.59/3.15 PLUS(plus(1(X),1(Y)),x4) -> 0#(plus(plus(X,Y),1(z))) 2.59/3.15 PLUS(plus(1(X),1(Y)),x4) -> PLUS(0(plus(plus(X,Y),1(z))),x4) 2.59/3.15 PLUS(plus(1(X),1(Y)),x4) -> PLUS(plus(X,Y),1(z)) 2.59/3.15 PLUS(plus(1(X),1(Y)),x4) -> PLUS(X,Y) 2.59/3.15 PLUS(plus(z,X),x4) -> PLUS(X,x4) 2.59/3.15 PLUS(1(X),1(Y)) -> 0#(plus(plus(X,Y),1(z))) 2.59/3.15 PLUS(1(X),1(Y)) -> PLUS(plus(X,Y),1(z)) 2.59/3.15 PLUS(1(X),1(Y)) -> PLUS(X,Y) 2.59/3.15 PROD(union(A,B)) -> MULT(prod(A),prod(B)) 2.59/3.15 PROD(union(A,B)) -> PROD(A) 2.59/3.15 PROD(union(A,B)) -> PROD(B) 2.59/3.15 SUM(union(A,B)) -> PLUS(sum(A),sum(B)) 2.59/3.15 SUM(union(A,B)) -> SUM(A) 2.59/3.15 SUM(union(A,B)) -> SUM(B) 2.59/3.15 SUM(empty) -> 0#(z) 2.59/3.15 UNION(union(empty,X),x4) -> UNION(X,x4) 2.59/3.15 UNION(union(X,empty),x4) -> UNION(X,x4) 2.59/3.15 -> EAxioms: 2.59/3.15 mult(mult(x4,x5),x6) = mult(x4,mult(x5,x6)) 2.59/3.15 mult(x4,x5) = mult(x5,x4) 2.59/3.15 plus(plus(x4,x5),x6) = plus(x4,plus(x5,x6)) 2.59/3.15 plus(x4,x5) = plus(x5,x4) 2.59/3.15 union(union(x4,x5),x6) = union(x4,union(x5,x6)) 2.59/3.15 union(x4,x5) = union(x5,x4) 2.59/3.15 -> Rules: 2.59/3.15 0(z) -> z 2.59/3.15 and(tt,X) -> X 2.59/3.15 mult(0(X),Y) -> 0(mult(X,Y)) 2.59/3.15 mult(1(X),Y) -> plus(0(mult(X,Y)),Y) 2.59/3.15 mult(z,X) -> z 2.59/3.15 plus(0(X),0(Y)) -> 0(plus(X,Y)) 2.59/3.15 plus(0(X),1(Y)) -> 1(plus(X,Y)) 2.59/3.15 plus(1(X),1(Y)) -> 0(plus(plus(X,Y),1(z))) 2.59/3.15 plus(z,X) -> X 2.59/3.15 prod(union(A,B)) -> mult(prod(A),prod(B)) 2.59/3.15 prod(empty) -> 1(z) 2.59/3.15 prod(singl(X)) -> X 2.59/3.15 sum(union(A,B)) -> plus(sum(A),sum(B)) 2.59/3.15 sum(empty) -> 0(z) 2.59/3.15 sum(singl(X)) -> X 2.59/3.15 union(empty,X) -> X popout

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actions

all output return to TRS_Equational 2019-03-21 05.09