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TRS Equational pair #487092807
details
property
value
status
complete
benchmark
BAG_complete-noand.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n148.star.cs.uiowa.edu
space
Mixed_AC
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
28.4871 seconds
cpu usage
27.3208
user time
23.9043
system time
3.41655
max virtual memory
805564.0
max residence set size
40640.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR A B V1 V2 X Y) (THEORY (AC mult plus union)) (RULES 0(z) -> z U101(tt,V1) -> U102(isBagKind(V1),V1) U102(tt,V1) -> U103(isBag(V1)) U103(tt) -> tt U11(tt,V1) -> U12(isBinKind(V1),V1) U111(tt) -> tt U12(tt,V1) -> U13(isBin(V1)) U121(tt) -> tt U13(tt) -> tt U131(tt,V2) -> U132(isBinKind(V2)) U132(tt) -> tt U141(tt,V2) -> U142(isBinKind(V2)) U142(tt) -> tt U151(tt) -> tt U161(tt) -> tt U171(tt,X) -> U172(isBinKind(X)) U172(tt) -> z U181(tt,X,Y) -> U182(isBinKind(X),X,Y) U182(tt,X,Y) -> U183(isBin(Y),X,Y) U183(tt,X,Y) -> U184(isBinKind(Y),X,Y) U184(tt,X,Y) -> 0(mult(X,Y)) U191(tt,X,Y) -> U192(isBinKind(X),X,Y) U192(tt,X,Y) -> U193(isBin(Y),X,Y) U193(tt,X,Y) -> U194(isBinKind(Y),X,Y) U194(tt,X,Y) -> plus(0(mult(X,Y)),Y) U201(tt,X) -> U202(isBinKind(X),X) U202(tt,X) -> X U21(tt,V1,V2) -> U22(isBagKind(V1),V1,V2) U211(tt,X,Y) -> U212(isBinKind(X),X,Y) U212(tt,X,Y) -> U213(isBin(Y),X,Y) U213(tt,X,Y) -> U214(isBinKind(Y),X,Y) U214(tt,X,Y) -> 0(plus(X,Y)) U22(tt,V1,V2) -> U23(isBagKind(V2),V1,V2) U221(tt,X,Y) -> U222(isBinKind(X),X,Y) U222(tt,X,Y) -> U223(isBin(Y),X,Y) U223(tt,X,Y) -> U224(isBinKind(Y),X,Y) U224(tt,X,Y) -> 1(plus(X,Y)) U23(tt,V1,V2) -> U24(isBagKind(V2),V1,V2) U231(tt,X,Y) -> U232(isBinKind(X),X,Y) U232(tt,X,Y) -> U233(isBin(Y),X,Y) U233(tt,X,Y) -> U234(isBinKind(Y),X,Y) U234(tt,X,Y) -> 0(plus(plus(X,Y),1(z))) U24(tt,V1,V2) -> U25(isBag(V1),V2) U241(tt,X) -> U242(isBinKind(X),X) U242(tt,X) -> X U25(tt,V2) -> U26(isBag(V2)) U251(tt,A,B) -> U252(isBagKind(A),A,B) U252(tt,A,B) -> U253(isBag(B),A,B) U253(tt,A,B) -> U254(isBagKind(B),A,B) U254(tt,A,B) -> mult(prod(A),prod(B)) U26(tt) -> tt U261(tt,X) -> U262(isBinKind(X),X) U262(tt,X) -> X U271(tt,A,B) -> U272(isBagKind(A),A,B) U272(tt,A,B) -> U273(isBag(B),A,B) U273(tt,A,B) -> U274(isBagKind(B),A,B) U274(tt,A,B) -> plus(sum(A),sum(B)) U31(tt) -> tt U41(tt,V2) -> U42(isBagKind(V2)) U42(tt) -> tt U51(tt,V1) -> U52(isBinKind(V1),V1) U52(tt,V1) -> U53(isBin(V1)) U53(tt) -> tt U61(tt,V1) -> U62(isBinKind(V1),V1) U62(tt,V1) -> U63(isBin(V1)) U63(tt) -> tt U71(tt,V1,V2) -> U72(isBinKind(V1),V1,V2) U72(tt,V1,V2) -> U73(isBinKind(V2),V1,V2) U73(tt,V1,V2) -> U74(isBinKind(V2),V1,V2) U74(tt,V1,V2) -> U75(isBin(V1),V2) U75(tt,V2) -> U76(isBin(V2)) U76(tt) -> tt U81(tt,V1,V2) -> U82(isBinKind(V1),V1,V2) U82(tt,V1,V2) -> U83(isBinKind(V2),V1,V2) U83(tt,V1,V2) -> U84(isBinKind(V2),V1,V2) U84(tt,V1,V2) -> U85(isBin(V1),V2) U85(tt,V2) -> U86(isBin(V2)) U86(tt) -> tt U91(tt,V1) -> U92(isBagKind(V1),V1) U92(tt,V1) -> U93(isBag(V1)) U93(tt) -> tt isBag(union(V1,V2)) -> U21(isBagKind(V1),V1,V2) isBag(empty) -> tt isBag(singl(V1)) -> U11(isBinKind(V1),V1) isBagKind(union(V1,V2)) -> U41(isBagKind(V1),V2) isBagKind(empty) -> tt isBagKind(singl(V1)) -> U31(isBinKind(V1)) isBin(0(V1)) -> U51(isBinKind(V1),V1) isBin(mult(V1,V2)) -> U71(isBinKind(V1),V1,V2) isBin(plus(V1,V2)) -> U81(isBinKind(V1),V1,V2) isBin(prod(V1)) -> U91(isBagKind(V1),V1) isBin(sum(V1)) -> U101(isBagKind(V1),V1)
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