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TRS_Equational 2019-03-21 05.09 pair #429997328
details
property
value
status
complete
benchmark
BAG_nokinds-noand.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n171.star.cs.uiowa.edu
space
Mixed_AC
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
6.65396 seconds
cpu usage
6.31045
user time
5.08394
system time
1.22651
max virtual memory
693172.0
max residence set size
17644.0
stage attributes
key
value
starexec-result
YES
output
6.24/6.63 YES 6.24/6.63 6.24/6.63 Problem 1: 6.24/6.63 6.24/6.63 (VAR A B V1 V2 X Y) 6.24/6.63 (THEORY 6.24/6.63 (AC mult plus union)) 6.24/6.63 (RULES 6.24/6.63 0(z) -> z 6.24/6.63 U101(tt,X,Y) -> U102(isBin(Y),X,Y) 6.24/6.63 U102(tt,X,Y) -> 0(mult(X,Y)) 6.24/6.63 U11(tt) -> tt 6.24/6.63 U111(tt,X,Y) -> U112(isBin(Y),X,Y) 6.24/6.63 U112(tt,X,Y) -> plus(0(mult(X,Y)),Y) 6.24/6.63 U121(tt,X) -> X 6.24/6.63 U131(tt,X,Y) -> U132(isBin(Y),X,Y) 6.24/6.63 U132(tt,X,Y) -> 0(plus(X,Y)) 6.24/6.63 U141(tt,X,Y) -> U142(isBin(Y),X,Y) 6.24/6.63 U142(tt,X,Y) -> 1(plus(X,Y)) 6.24/6.63 U151(tt,X,Y) -> U152(isBin(Y),X,Y) 6.24/6.63 U152(tt,X,Y) -> 0(plus(plus(X,Y),1(z))) 6.24/6.63 U161(tt,X) -> X 6.24/6.63 U171(tt,A,B) -> U172(isBag(B),A,B) 6.24/6.63 U172(tt,A,B) -> mult(prod(A),prod(B)) 6.24/6.63 U181(tt,X) -> X 6.24/6.63 U191(tt,A,B) -> U192(isBag(B),A,B) 6.24/6.63 U192(tt,A,B) -> plus(sum(A),sum(B)) 6.24/6.63 U21(tt,V2) -> U22(isBag(V2)) 6.24/6.63 U22(tt) -> tt 6.24/6.63 U31(tt) -> tt 6.24/6.63 U41(tt) -> tt 6.24/6.63 U51(tt,V2) -> U52(isBin(V2)) 6.24/6.63 U52(tt) -> tt 6.24/6.63 U61(tt,V2) -> U62(isBin(V2)) 6.24/6.63 U62(tt) -> tt 6.24/6.63 U71(tt) -> tt 6.24/6.63 U81(tt) -> tt 6.24/6.63 U91(tt) -> z 6.24/6.63 isBag(union(V1,V2)) -> U21(isBag(V1),V2) 6.24/6.63 isBag(empty) -> tt 6.24/6.63 isBag(singl(V1)) -> U11(isBin(V1)) 6.24/6.63 isBin(0(V1)) -> U31(isBin(V1)) 6.24/6.63 isBin(mult(V1,V2)) -> U51(isBin(V1),V2) 6.24/6.63 isBin(plus(V1,V2)) -> U61(isBin(V1),V2) 6.24/6.63 isBin(prod(V1)) -> U71(isBag(V1)) 6.24/6.63 isBin(sum(V1)) -> U81(isBag(V1)) 6.24/6.63 isBin(1(V1)) -> U41(isBin(V1)) 6.24/6.63 isBin(z) -> tt 6.24/6.63 mult(0(X),Y) -> U101(isBin(X),X,Y) 6.24/6.63 mult(1(X),Y) -> U111(isBin(X),X,Y) 6.24/6.63 mult(z,X) -> U91(isBin(X)) 6.24/6.63 plus(0(X),0(Y)) -> U131(isBin(X),X,Y) 6.24/6.63 plus(0(X),1(Y)) -> U141(isBin(X),X,Y) 6.24/6.63 plus(1(X),1(Y)) -> U151(isBin(X),X,Y) 6.24/6.63 plus(z,X) -> U121(isBin(X),X) 6.24/6.63 prod(union(A,B)) -> U171(isBag(A),A,B) 6.24/6.63 prod(empty) -> 1(z) 6.24/6.63 prod(singl(X)) -> U161(isBin(X),X) 6.24/6.63 sum(union(A,B)) -> U191(isBag(A),A,B) 6.24/6.63 sum(empty) -> 0(z) 6.24/6.63 sum(singl(X)) -> U181(isBin(X),X) 6.24/6.63 union(empty,X) -> X 6.24/6.63 union(X,empty) -> X 6.24/6.63 ) 6.24/6.63 6.24/6.63 Problem 1: 6.24/6.63 6.24/6.63 Dependency Pairs Processor: 6.24/6.63 -> FAxioms: 6.24/6.63 MULT(mult(x6,x7),x8) = MULT(x6,mult(x7,x8)) 6.24/6.63 MULT(x6,x7) = MULT(x7,x6) 6.24/6.63 PLUS(plus(x6,x7),x8) = PLUS(x6,plus(x7,x8)) 6.24/6.63 PLUS(x6,x7) = PLUS(x7,x6) 6.24/6.63 UNION(union(x6,x7),x8) = UNION(x6,union(x7,x8)) 6.24/6.63 UNION(x6,x7) = UNION(x7,x6) 6.24/6.63 -> Pairs: 6.24/6.63 U101#(tt,X,Y) -> U102#(isBin(Y),X,Y) 6.24/6.63 U101#(tt,X,Y) -> ISBIN(Y) 6.24/6.63 U102#(tt,X,Y) -> 0#(mult(X,Y)) 6.24/6.63 U102#(tt,X,Y) -> MULT(X,Y) 6.24/6.63 U111#(tt,X,Y) -> U112#(isBin(Y),X,Y) 6.24/6.63 U111#(tt,X,Y) -> ISBIN(Y) 6.24/6.63 U112#(tt,X,Y) -> 0#(mult(X,Y)) 6.24/6.63 U112#(tt,X,Y) -> MULT(X,Y) 6.24/6.63 U112#(tt,X,Y) -> PLUS(0(mult(X,Y)),Y) 6.24/6.63 U131#(tt,X,Y) -> U132#(isBin(Y),X,Y) 6.24/6.63 U131#(tt,X,Y) -> ISBIN(Y) 6.24/6.63 U132#(tt,X,Y) -> 0#(plus(X,Y)) 6.24/6.63 U132#(tt,X,Y) -> PLUS(X,Y) 6.24/6.63 U141#(tt,X,Y) -> U142#(isBin(Y),X,Y) 6.24/6.63 U141#(tt,X,Y) -> ISBIN(Y) 6.24/6.63 U142#(tt,X,Y) -> PLUS(X,Y) 6.24/6.63 U151#(tt,X,Y) -> U152#(isBin(Y),X,Y) 6.24/6.63 U151#(tt,X,Y) -> ISBIN(Y) 6.24/6.63 U152#(tt,X,Y) -> 0#(plus(plus(X,Y),1(z))) 6.24/6.63 U152#(tt,X,Y) -> PLUS(plus(X,Y),1(z)) 6.24/6.63 U152#(tt,X,Y) -> PLUS(X,Y) 6.24/6.63 U171#(tt,A,B) -> U172#(isBag(B),A,B) 6.24/6.63 U171#(tt,A,B) -> ISBAG(B) 6.24/6.63 U172#(tt,A,B) -> MULT(prod(A),prod(B))
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