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TRS_Equational 2019-03-21 05.09 pair #429997352
details
property
value
status
complete
benchmark
BAG_complete.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n120.star.cs.uiowa.edu
space
Mixed_AC
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
21.2636 seconds
cpu usage
19.983
user time
17.8792
system time
2.10377
max virtual memory
851108.0
max residence set size
128204.0
stage attributes
key
value
starexec-result
YES
output
19.84/21.20 YES 19.84/21.20 19.84/21.20 Problem 1: 19.84/21.20 19.84/21.20 (VAR A B V1 V2 X Y) 19.84/21.20 (THEORY 19.84/21.20 (AC mult plus union)) 19.84/21.20 (RULES 19.84/21.20 0(z) -> z 19.84/21.20 U101(tt,X,Y) -> 0(mult(X,Y)) 19.84/21.20 U11(tt,V1) -> U12(isBin(V1)) 19.84/21.20 U111(tt,X,Y) -> plus(0(mult(X,Y)),Y) 19.84/21.20 U12(tt) -> tt 19.84/21.20 U121(tt,X) -> X 19.84/21.20 U131(tt,X,Y) -> 0(plus(X,Y)) 19.84/21.20 U141(tt,X,Y) -> 1(plus(X,Y)) 19.84/21.20 U151(tt,X,Y) -> 0(plus(plus(X,Y),1(z))) 19.84/21.20 U161(tt,X) -> X 19.84/21.20 U171(tt,A,B) -> mult(prod(A),prod(B)) 19.84/21.20 U181(tt,X) -> X 19.84/21.20 U191(tt,A,B) -> plus(sum(A),sum(B)) 19.84/21.20 U21(tt,V1,V2) -> U22(isBag(V1),V2) 19.84/21.20 U22(tt,V2) -> U23(isBag(V2)) 19.84/21.20 U23(tt) -> tt 19.84/21.20 U31(tt,V1) -> U32(isBin(V1)) 19.84/21.20 U32(tt) -> tt 19.84/21.20 U41(tt,V1) -> U42(isBin(V1)) 19.84/21.20 U42(tt) -> tt 19.84/21.20 U51(tt,V1,V2) -> U52(isBin(V1),V2) 19.84/21.20 U52(tt,V2) -> U53(isBin(V2)) 19.84/21.20 U53(tt) -> tt 19.84/21.20 U61(tt,V1,V2) -> U62(isBin(V1),V2) 19.84/21.20 U62(tt,V2) -> U63(isBin(V2)) 19.84/21.20 U63(tt) -> tt 19.84/21.20 U71(tt,V1) -> U72(isBag(V1)) 19.84/21.20 U72(tt) -> tt 19.84/21.20 U81(tt,V1) -> U82(isBag(V1)) 19.84/21.20 U82(tt) -> tt 19.84/21.20 U91(tt) -> z 19.84/21.20 and(tt,X) -> X 19.84/21.20 isBag(union(V1,V2)) -> U21(and(isBagKind(V1),isBagKind(V2)),V1,V2) 19.84/21.20 isBag(empty) -> tt 19.84/21.20 isBag(singl(V1)) -> U11(isBinKind(V1),V1) 19.84/21.20 isBagKind(union(V1,V2)) -> and(isBagKind(V1),isBagKind(V2)) 19.84/21.20 isBagKind(empty) -> tt 19.84/21.20 isBagKind(singl(V1)) -> isBinKind(V1) 19.84/21.20 isBin(0(V1)) -> U31(isBinKind(V1),V1) 19.84/21.20 isBin(mult(V1,V2)) -> U51(and(isBinKind(V1),isBinKind(V2)),V1,V2) 19.84/21.20 isBin(plus(V1,V2)) -> U61(and(isBinKind(V1),isBinKind(V2)),V1,V2) 19.84/21.20 isBin(prod(V1)) -> U71(isBagKind(V1),V1) 19.84/21.20 isBin(sum(V1)) -> U81(isBagKind(V1),V1) 19.84/21.20 isBin(1(V1)) -> U41(isBinKind(V1),V1) 19.84/21.20 isBin(z) -> tt 19.84/21.20 isBinKind(0(V1)) -> isBinKind(V1) 19.84/21.20 isBinKind(mult(V1,V2)) -> and(isBinKind(V1),isBinKind(V2)) 19.84/21.20 isBinKind(plus(V1,V2)) -> and(isBinKind(V1),isBinKind(V2)) 19.84/21.20 isBinKind(prod(V1)) -> isBagKind(V1) 19.84/21.20 isBinKind(sum(V1)) -> isBagKind(V1) 19.84/21.20 isBinKind(1(V1)) -> isBinKind(V1) 19.84/21.20 isBinKind(z) -> tt 19.84/21.20 mult(0(X),Y) -> U101(and(and(isBin(X),isBinKind(X)),and(isBin(Y),isBinKind(Y))),X,Y) 19.84/21.20 mult(1(X),Y) -> U111(and(and(isBin(X),isBinKind(X)),and(isBin(Y),isBinKind(Y))),X,Y) 19.84/21.20 mult(z,X) -> U91(and(isBin(X),isBinKind(X))) 19.84/21.20 plus(0(X),0(Y)) -> U131(and(and(isBin(X),isBinKind(X)),and(isBin(Y),isBinKind(Y))),X,Y) 19.84/21.20 plus(0(X),1(Y)) -> U141(and(and(isBin(X),isBinKind(X)),and(isBin(Y),isBinKind(Y))),X,Y) 19.84/21.20 plus(1(X),1(Y)) -> U151(and(and(isBin(X),isBinKind(X)),and(isBin(Y),isBinKind(Y))),X,Y) 19.84/21.20 plus(z,X) -> U121(and(isBin(X),isBinKind(X)),X) 19.84/21.20 prod(union(A,B)) -> U171(and(and(isBag(A),isBagKind(A)),and(isBag(B),isBagKind(B))),A,B) 19.84/21.20 prod(empty) -> 1(z) 19.84/21.20 prod(singl(X)) -> U161(and(isBin(X),isBinKind(X)),X) 19.84/21.20 sum(union(A,B)) -> U191(and(and(isBag(A),isBagKind(A)),and(isBag(B),isBagKind(B))),A,B) 19.84/21.20 sum(empty) -> 0(z) 19.84/21.20 sum(singl(X)) -> U181(and(isBin(X),isBinKind(X)),X) 19.84/21.20 union(empty,X) -> X 19.84/21.20 union(X,empty) -> X 19.84/21.20 ) 19.84/21.20 19.84/21.20 Problem 1: 19.84/21.20 19.84/21.20 Dependency Pairs Processor: 19.84/21.20 -> FAxioms: 19.84/21.20 MULT(mult(x6,x7),x8) = MULT(x6,mult(x7,x8)) 19.84/21.20 MULT(x6,x7) = MULT(x7,x6) 19.84/21.20 PLUS(plus(x6,x7),x8) = PLUS(x6,plus(x7,x8)) 19.84/21.20 PLUS(x6,x7) = PLUS(x7,x6) 19.84/21.20 UNION(union(x6,x7),x8) = UNION(x6,union(x7,x8)) 19.84/21.20 UNION(x6,x7) = UNION(x7,x6) 19.84/21.20 -> Pairs: 19.84/21.20 U101#(tt,X,Y) -> 0#(mult(X,Y)) 19.84/21.20 U101#(tt,X,Y) -> MULT(X,Y) 19.84/21.20 U11#(tt,V1) -> U12#(isBin(V1)) 19.84/21.20 U11#(tt,V1) -> ISBIN(V1) 19.84/21.20 U111#(tt,X,Y) -> 0#(mult(X,Y)) 19.84/21.20 U111#(tt,X,Y) -> MULT(X,Y) 19.84/21.20 U111#(tt,X,Y) -> PLUS(0(mult(X,Y)),Y) 19.84/21.20 U131#(tt,X,Y) -> 0#(plus(X,Y)) 19.84/21.20 U131#(tt,X,Y) -> PLUS(X,Y) 19.84/21.20 U141#(tt,X,Y) -> PLUS(X,Y) 19.84/21.20 U151#(tt,X,Y) -> 0#(plus(plus(X,Y),1(z))) 19.84/21.20 U151#(tt,X,Y) -> PLUS(plus(X,Y),1(z))
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