Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
TRS Equat 89423 pair #381732783
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
n008.star.cs.uiowa.edu
space
Mixed_AC
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
19.5428340435 seconds
cpu usage
18.995018823
max memory
1.7352704E8
stage attributes
key
value
output-size
402485
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Problem 1: (VAR A B V1 V2 X Y) (THEORY (AC mult plus union)) (RULES 0(z) -> z U101(tt,X,Y) -> 0(mult(X,Y)) U11(tt,V1) -> U12(isBin(V1)) U111(tt,X,Y) -> plus(0(mult(X,Y)),Y) U12(tt) -> tt U121(tt,X) -> X U131(tt,X,Y) -> 0(plus(X,Y)) U141(tt,X,Y) -> 1(plus(X,Y)) U151(tt,X,Y) -> 0(plus(plus(X,Y),1(z))) U161(tt,X) -> X U171(tt,A,B) -> mult(prod(A),prod(B)) U181(tt,X) -> X U191(tt,A,B) -> plus(sum(A),sum(B)) U21(tt,V1,V2) -> U22(isBag(V1),V2) U22(tt,V2) -> U23(isBag(V2)) U23(tt) -> tt U31(tt,V1) -> U32(isBin(V1)) U32(tt) -> tt U41(tt,V1) -> U42(isBin(V1)) U42(tt) -> tt U51(tt,V1,V2) -> U52(isBin(V1),V2) U52(tt,V2) -> U53(isBin(V2)) U53(tt) -> tt U61(tt,V1,V2) -> U62(isBin(V1),V2) U62(tt,V2) -> U63(isBin(V2)) U63(tt) -> tt U71(tt,V1) -> U72(isBag(V1)) U72(tt) -> tt U81(tt,V1) -> U82(isBag(V1)) U82(tt) -> tt U91(tt) -> z and(tt,X) -> X isBag(union(V1,V2)) -> U21(and(isBagKind(V1),isBagKind(V2)),V1,V2) isBag(empty) -> tt isBag(singl(V1)) -> U11(isBinKind(V1),V1) isBagKind(union(V1,V2)) -> and(isBagKind(V1),isBagKind(V2)) isBagKind(empty) -> tt isBagKind(singl(V1)) -> isBinKind(V1) isBin(0(V1)) -> U31(isBinKind(V1),V1) isBin(mult(V1,V2)) -> U51(and(isBinKind(V1),isBinKind(V2)),V1,V2) isBin(plus(V1,V2)) -> U61(and(isBinKind(V1),isBinKind(V2)),V1,V2) isBin(prod(V1)) -> U71(isBagKind(V1),V1) isBin(sum(V1)) -> U81(isBagKind(V1),V1) isBin(1(V1)) -> U41(isBinKind(V1),V1) isBin(z) -> tt isBinKind(0(V1)) -> isBinKind(V1) isBinKind(mult(V1,V2)) -> and(isBinKind(V1),isBinKind(V2)) isBinKind(plus(V1,V2)) -> and(isBinKind(V1),isBinKind(V2)) isBinKind(prod(V1)) -> isBagKind(V1) isBinKind(sum(V1)) -> isBagKind(V1) isBinKind(1(V1)) -> isBinKind(V1) isBinKind(z) -> tt mult(0(X),Y) -> U101(and(and(isBin(X),isBinKind(X)),and(isBin(Y),isBinKind(Y))),X,Y) mult(1(X),Y) -> U111(and(and(isBin(X),isBinKind(X)),and(isBin(Y),isBinKind(Y))),X,Y) mult(z,X) -> U91(and(isBin(X),isBinKind(X))) plus(0(X),0(Y)) -> U131(and(and(isBin(X),isBinKind(X)),and(isBin(Y),isBinKind(Y))),X,Y) plus(0(X),1(Y)) -> U141(and(and(isBin(X),isBinKind(X)),and(isBin(Y),isBinKind(Y))),X,Y) plus(1(X),1(Y)) -> U151(and(and(isBin(X),isBinKind(X)),and(isBin(Y),isBinKind(Y))),X,Y) plus(z,X) -> U121(and(isBin(X),isBinKind(X)),X) prod(union(A,B)) -> U171(and(and(isBag(A),isBagKind(A)),and(isBag(B),isBagKind(B))),A,B) prod(empty) -> 1(z) prod(singl(X)) -> U161(and(isBin(X),isBinKind(X)),X) sum(union(A,B)) -> U191(and(and(isBag(A),isBagKind(A)),and(isBag(B),isBagKind(B))),A,B) sum(empty) -> 0(z) sum(singl(X)) -> U181(and(isBin(X),isBinKind(X)),X) union(empty,X) -> X union(X,empty) -> X ) Problem 1: Dependency Pairs Processor: -> FAxioms: MULT(mult(x6,x7),x8) = MULT(x6,mult(x7,x8)) MULT(x6,x7) = MULT(x7,x6) PLUS(plus(x6,x7),x8) = PLUS(x6,plus(x7,x8)) PLUS(x6,x7) = PLUS(x7,x6) UNION(union(x6,x7),x8) = UNION(x6,union(x7,x8)) UNION(x6,x7) = UNION(x7,x6) -> Pairs: U101#(tt,X,Y) -> 0#(mult(X,Y)) U101#(tt,X,Y) -> MULT(X,Y) U11#(tt,V1) -> U12#(isBin(V1)) U11#(tt,V1) -> ISBIN(V1) U111#(tt,X,Y) -> 0#(mult(X,Y)) U111#(tt,X,Y) -> MULT(X,Y)
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to TRS Equat 89423