details

property	value
status	complete
benchmark	BAG_nokinds.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n151.star.cs.uiowa.edu
space	Mixed_AC

run statistics

property	value
solver	muterm 5.18
configuration	default
runtime (wallclock)	4.48137 seconds
cpu usage	4.28893
user time	3.27759
system time	1.01134
max virtual memory	706360.0
max residence set size	19716.0

stage attributes

key	value
starexec-result	YES

output

4.16/4.46 YES 4.16/4.46 4.16/4.46 Problem 1: 4.16/4.46 4.16/4.46 (VAR A B V1 V2 X Y) 4.16/4.46 (THEORY 4.16/4.46 (AC mult plus union)) 4.16/4.46 (RULES 4.16/4.46 0(z) -> z 4.16/4.46 U101(tt,X) -> X 4.16/4.46 U11(tt) -> z 4.16/4.46 U111(tt,A,B) -> plus(sum(A),sum(B)) 4.16/4.46 U21(tt,X,Y) -> 0(mult(X,Y)) 4.16/4.46 U31(tt,X,Y) -> plus(0(mult(X,Y)),Y) 4.16/4.46 U41(tt,X) -> X 4.16/4.46 U51(tt,X,Y) -> 0(plus(X,Y)) 4.16/4.46 U61(tt,X,Y) -> 1(plus(X,Y)) 4.16/4.46 U71(tt,X,Y) -> 0(plus(plus(X,Y),1(z))) 4.16/4.46 U81(tt,X) -> X 4.16/4.46 U91(tt,A,B) -> mult(prod(A),prod(B)) 4.16/4.46 and(tt,X) -> X 4.16/4.46 isBag(union(V1,V2)) -> and(isBag(V1),isBag(V2)) 4.16/4.46 isBag(empty) -> tt 4.16/4.46 isBag(singl(V1)) -> isBin(V1) 4.16/4.46 isBin(0(V1)) -> isBin(V1) 4.16/4.46 isBin(mult(V1,V2)) -> and(isBin(V1),isBin(V2)) 4.16/4.46 isBin(plus(V1,V2)) -> and(isBin(V1),isBin(V2)) 4.16/4.46 isBin(prod(V1)) -> isBag(V1) 4.16/4.46 isBin(sum(V1)) -> isBag(V1) 4.16/4.46 isBin(1(V1)) -> isBin(V1) 4.16/4.46 isBin(z) -> tt 4.16/4.46 mult(0(X),Y) -> U21(and(isBin(X),isBin(Y)),X,Y) 4.16/4.46 mult(1(X),Y) -> U31(and(isBin(X),isBin(Y)),X,Y) 4.16/4.46 mult(z,X) -> U11(isBin(X)) 4.16/4.46 plus(0(X),0(Y)) -> U51(and(isBin(X),isBin(Y)),X,Y) 4.16/4.46 plus(0(X),1(Y)) -> U61(and(isBin(X),isBin(Y)),X,Y) 4.16/4.46 plus(1(X),1(Y)) -> U71(and(isBin(X),isBin(Y)),X,Y) 4.16/4.46 plus(z,X) -> U41(isBin(X),X) 4.16/4.46 prod(union(A,B)) -> U91(and(isBag(A),isBag(B)),A,B) 4.16/4.46 prod(empty) -> 1(z) 4.16/4.46 prod(singl(X)) -> U81(isBin(X),X) 4.16/4.46 sum(union(A,B)) -> U111(and(isBag(A),isBag(B)),A,B) 4.16/4.46 sum(empty) -> 0(z) 4.16/4.46 sum(singl(X)) -> U101(isBin(X),X) 4.16/4.46 union(empty,X) -> X 4.16/4.46 union(X,empty) -> X 4.16/4.46 ) 4.16/4.46 4.16/4.46 Problem 1: 4.16/4.46 4.16/4.46 Dependency Pairs Processor: 4.16/4.46 -> FAxioms: 4.16/4.46 MULT(mult(x6,x7),x8) = MULT(x6,mult(x7,x8)) 4.16/4.46 MULT(x6,x7) = MULT(x7,x6) 4.16/4.46 PLUS(plus(x6,x7),x8) = PLUS(x6,plus(x7,x8)) 4.16/4.46 PLUS(x6,x7) = PLUS(x7,x6) 4.16/4.46 UNION(union(x6,x7),x8) = UNION(x6,union(x7,x8)) 4.16/4.46 UNION(x6,x7) = UNION(x7,x6) 4.16/4.46 -> Pairs: 4.16/4.46 U111#(tt,A,B) -> PLUS(sum(A),sum(B)) 4.16/4.46 U111#(tt,A,B) -> SUM(A) 4.16/4.46 U111#(tt,A,B) -> SUM(B) 4.16/4.46 U21#(tt,X,Y) -> 0#(mult(X,Y)) 4.16/4.46 U21#(tt,X,Y) -> MULT(X,Y) 4.16/4.46 U31#(tt,X,Y) -> 0#(mult(X,Y)) 4.16/4.46 U31#(tt,X,Y) -> MULT(X,Y) 4.16/4.46 U31#(tt,X,Y) -> PLUS(0(mult(X,Y)),Y) 4.16/4.46 U51#(tt,X,Y) -> 0#(plus(X,Y)) 4.16/4.46 U51#(tt,X,Y) -> PLUS(X,Y) 4.16/4.46 U61#(tt,X,Y) -> PLUS(X,Y) 4.16/4.46 U71#(tt,X,Y) -> 0#(plus(plus(X,Y),1(z))) 4.16/4.46 U71#(tt,X,Y) -> PLUS(plus(X,Y),1(z)) 4.16/4.46 U71#(tt,X,Y) -> PLUS(X,Y) 4.16/4.46 U91#(tt,A,B) -> MULT(prod(A),prod(B)) 4.16/4.46 U91#(tt,A,B) -> PROD(A) 4.16/4.46 U91#(tt,A,B) -> PROD(B) 4.16/4.46 ISBAG(union(V1,V2)) -> AND(isBag(V1),isBag(V2)) 4.16/4.46 ISBAG(union(V1,V2)) -> ISBAG(V1) 4.16/4.46 ISBAG(union(V1,V2)) -> ISBAG(V2) 4.16/4.46 ISBAG(singl(V1)) -> ISBIN(V1) 4.16/4.46 ISBIN(0(V1)) -> ISBIN(V1) 4.16/4.46 ISBIN(mult(V1,V2)) -> AND(isBin(V1),isBin(V2)) 4.16/4.46 ISBIN(mult(V1,V2)) -> ISBIN(V1) 4.16/4.46 ISBIN(mult(V1,V2)) -> ISBIN(V2) 4.16/4.46 ISBIN(plus(V1,V2)) -> AND(isBin(V1),isBin(V2)) 4.16/4.46 ISBIN(plus(V1,V2)) -> ISBIN(V1) 4.16/4.46 ISBIN(plus(V1,V2)) -> ISBIN(V2) 4.16/4.46 ISBIN(prod(V1)) -> ISBAG(V1) 4.16/4.46 ISBIN(sum(V1)) -> ISBAG(V1) 4.16/4.46 ISBIN(1(V1)) -> ISBIN(V1) 4.16/4.46 MULT(0(X),Y) -> U21#(and(isBin(X),isBin(Y)),X,Y) 4.16/4.46 MULT(0(X),Y) -> AND(isBin(X),isBin(Y)) 4.16/4.46 MULT(0(X),Y) -> ISBIN(X) 4.16/4.46 MULT(0(X),Y) -> ISBIN(Y) 4.16/4.46 MULT(mult(0(X),Y),x6) -> U21#(and(isBin(X),isBin(Y)),X,Y) 4.16/4.46 MULT(mult(0(X),Y),x6) -> AND(isBin(X),isBin(Y)) 4.16/4.46 MULT(mult(0(X),Y),x6) -> ISBIN(X) 4.16/4.46 MULT(mult(0(X),Y),x6) -> ISBIN(Y) 4.16/4.46 MULT(mult(0(X),Y),x6) -> MULT(U21(and(isBin(X),isBin(Y)),X,Y),x6) 4.16/4.46 MULT(mult(1(X),Y),x6) -> U31#(and(isBin(X),isBin(Y)),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