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TRS_Equational 2019-03-21 05.09 pair #429997329
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
n110.star.cs.uiowa.edu
space
Mixed_AC
run statistics
property
value
solver
NaTT
configuration
Default
runtime (wallclock)
0.58265 seconds
cpu usage
0.61
user time
0.56
system time
0.05
max virtual memory
388844.0
max residence set size
8876.0
stage attributes
key
value
starexec-result
MAYBE
output
0.61/0.57 MAYBE 0.61/0.58 Input TRS: 0.61/0.58 AC symbols: plus union mult 0.61/0.58 1: union(X,empty()) -> X 0.61/0.58 2: union(empty(),X) -> X 0.61/0.58 3: 0(z()) -> z() 0.61/0.58 4: U101(tt(),X,Y) -> U102(isBin(Y),X,Y) 0.61/0.58 5: U102(tt(),X,Y) -> 0(mult(X,Y)) 0.61/0.58 6: U11(tt()) -> tt() 0.61/0.58 7: U111(tt(),X,Y) -> U112(isBin(Y),X,Y) 0.61/0.58 8: U112(tt(),X,Y) -> plus(0(mult(X,Y)),Y) 0.61/0.58 9: U121(tt(),X) -> X 0.61/0.58 10: U131(tt(),X,Y) -> U132(isBin(Y),X,Y) 0.61/0.58 11: U132(tt(),X,Y) -> 0(plus(X,Y)) 0.61/0.58 12: U141(tt(),X,Y) -> U142(isBin(Y),X,Y) 0.61/0.58 13: U142(tt(),X,Y) -> 1(plus(X,Y)) 0.61/0.58 14: U151(tt(),X,Y) -> U152(isBin(Y),X,Y) 0.61/0.58 15: U152(tt(),X,Y) -> 0(plus(plus(X,Y),1(z()))) 0.61/0.58 16: U161(tt(),X) -> X 0.61/0.58 17: U171(tt(),A,B) -> U172(isBag(B),A,B) 0.61/0.58 18: U172(tt(),A,B) -> mult(prod(A),prod(B)) 0.61/0.58 19: U181(tt(),X) -> X 0.61/0.58 20: U191(tt(),A,B) -> U192(isBag(B),A,B) 0.61/0.58 21: U192(tt(),A,B) -> plus(sum(A),sum(B)) 0.61/0.58 22: U21(tt(),V2) -> U22(isBag(V2)) 0.61/0.58 23: U22(tt()) -> tt() 0.61/0.58 24: U31(tt()) -> tt() 0.61/0.58 25: U41(tt()) -> tt() 0.61/0.58 26: U51(tt(),V2) -> U52(isBin(V2)) 0.61/0.58 27: U52(tt()) -> tt() 0.61/0.58 28: U61(tt(),V2) -> U62(isBin(V2)) 0.61/0.58 29: U62(tt()) -> tt() 0.61/0.58 30: U71(tt()) -> tt() 0.61/0.58 31: U81(tt()) -> tt() 0.61/0.58 32: U91(tt()) -> z() 0.61/0.58 33: isBag(empty()) -> tt() 0.61/0.58 34: isBag(singl(V1)) -> U11(isBin(V1)) 0.61/0.58 35: isBag(union(V1,V2)) -> U21(isBag(V1),V2) 0.61/0.58 36: isBin(z()) -> tt() 0.61/0.58 37: isBin(0(V1)) -> U31(isBin(V1)) 0.61/0.58 38: isBin(1(V1)) -> U41(isBin(V1)) 0.61/0.58 39: isBin(mult(V1,V2)) -> U51(isBin(V1),V2) 0.61/0.58 40: isBin(plus(V1,V2)) -> U61(isBin(V1),V2) 0.61/0.58 41: isBin(prod(V1)) -> U71(isBag(V1)) 0.61/0.58 42: isBin(sum(V1)) -> U81(isBag(V1)) 0.61/0.58 43: mult(z(),X) -> U91(isBin(X)) 0.61/0.58 44: mult(0(X),Y) -> U101(isBin(X),X,Y) 0.61/0.58 45: mult(1(X),Y) -> U111(isBin(X),X,Y) 0.61/0.58 46: plus(z(),X) -> U121(isBin(X),X) 0.61/0.58 47: plus(0(X),0(Y)) -> U131(isBin(X),X,Y) 0.61/0.58 48: plus(0(X),1(Y)) -> U141(isBin(X),X,Y) 0.61/0.58 49: plus(1(X),1(Y)) -> U151(isBin(X),X,Y) 0.61/0.58 50: prod(empty()) -> 1(z()) 0.61/0.58 51: prod(singl(X)) -> U161(isBin(X),X) 0.61/0.58 52: prod(union(A,B)) -> U171(isBag(A),A,B) 0.61/0.58 53: sum(empty()) -> 0(z()) 0.61/0.58 54: sum(singl(X)) -> U181(isBin(X),X) 0.61/0.58 55: sum(union(A,B)) -> U191(isBag(A),A,B) 0.61/0.58 Number of strict rules: 55 0.61/0.58 Direct POLO(bPol) ... failed. 0.61/0.58 Uncurrying ... failed. 0.61/0.58 Dependency Pairs: 0.61/0.58 #1: #mult(z(),X) -> #U91(isBin(X)) 0.61/0.58 #2: #mult(z(),X) -> #isBin(X) 0.61/0.58 #3: #isBag(union(V1,V2)) -> #U21(isBag(V1),V2) 0.61/0.58 #4: #isBag(union(V1,V2)) -> #isBag(V1) 0.61/0.58 #5: #plus(z(),X) -> #U121(isBin(X),X) 0.61/0.58 #6: #plus(z(),X) -> #isBin(X) 0.61/0.58 #7: #isBin(sum(V1)) -> #U81(isBag(V1)) 0.61/0.58 #8: #isBin(sum(V1)) -> #isBag(V1) 0.61/0.58 #9: #isBin(prod(V1)) -> #U71(isBag(V1)) 0.61/0.58 #10: #isBin(prod(V1)) -> #isBag(V1) 0.61/0.58 #11: #isBin(0(V1)) -> #U31(isBin(V1)) 0.61/0.58 #12: #isBin(0(V1)) -> #isBin(V1) 0.61/0.58 #13: #plus(0(X),0(Y)) -> #U131(isBin(X),X,Y) 0.61/0.58 #14: #plus(0(X),0(Y)) -> #isBin(X) 0.61/0.58 #15: #sum(empty()) -> #0(z()) 0.61/0.58 #16: #plus(0(X),1(Y)) -> #U141(isBin(X),X,Y) 0.61/0.58 #17: #plus(0(X),1(Y)) -> #isBin(X) 0.61/0.58 #18: #mult(x,mult(y,z)) ->= #mult(mult(x,y),z) 0.61/0.58 #19: #mult(x,mult(y,z)) ->= #mult(x,y) 0.61/0.58 #20: #isBin(1(V1)) -> #U41(isBin(V1)) 0.61/0.58 #21: #isBin(1(V1)) -> #isBin(V1) 0.61/0.58 #22: #sum(union(A,B)) -> #U191(isBag(A),A,B) 0.61/0.58 #23: #sum(union(A,B)) -> #isBag(A) 0.61/0.58 #24: #isBin(plus(V1,V2)) -> #U61(isBin(V1),V2) 0.61/0.58 #25: #isBin(plus(V1,V2)) -> #isBin(V1) 0.61/0.58 #26: #prod(singl(X)) -> #U161(isBin(X),X) 0.61/0.58 #27: #prod(singl(X)) -> #isBin(X) 0.61/0.58 #28: #U142(tt(),X,Y) -> #plus(X,Y) 0.61/0.58 #29: #U132(tt(),X,Y) -> #0(plus(X,Y)) 0.61/0.58 #30: #U132(tt(),X,Y) -> #plus(X,Y) 0.61/0.58 #31: #union(x,union(y,z)) ->= #union(union(x,y),z) 0.61/0.58 #32: #union(x,union(y,z)) ->= #union(x,y) 0.61/0.58 #33: #mult(1(X),Y) -> #U111(isBin(X),X,Y) 0.61/0.58 #34: #mult(1(X),Y) -> #isBin(X) 0.61/0.58 #35: #U141(tt(),X,Y) -> #U142(isBin(Y),X,Y) 0.61/0.58 #36: #U141(tt(),X,Y) -> #isBin(Y) 0.61/0.58 #37: #plus(x,plus(y,z)) ->= #plus(plus(x,y),z) 0.61/0.58 #38: #plus(x,plus(y,z)) ->= #plus(x,y)
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