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TRS_Equational 2019-03-21 05.09 pair #429997317
details
property
value
status
complete
benchmark
BAG_nokinds.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n107.star.cs.uiowa.edu
space
Mixed_AC
run statistics
property
value
solver
NaTT
configuration
Default
runtime (wallclock)
0.384505 seconds
cpu usage
0.169197
user time
0.1214
system time
0.047797
max virtual memory
113176.0
max residence set size
8868.0
stage attributes
key
value
starexec-result
MAYBE
output
0.00/0.38 MAYBE 0.00/0.38 Input TRS: 0.00/0.38 AC symbols: plus union mult 0.00/0.38 1: union(X,empty()) -> X 0.00/0.38 2: union(empty(),X) -> X 0.00/0.38 3: 0(z()) -> z() 0.00/0.38 4: U101(tt(),X) -> X 0.00/0.38 5: U11(tt()) -> z() 0.00/0.38 6: U111(tt(),A,B) -> plus(sum(A),sum(B)) 0.00/0.38 7: U21(tt(),X,Y) -> 0(mult(X,Y)) 0.00/0.38 8: U31(tt(),X,Y) -> plus(0(mult(X,Y)),Y) 0.00/0.38 9: U41(tt(),X) -> X 0.00/0.38 10: U51(tt(),X,Y) -> 0(plus(X,Y)) 0.00/0.38 11: U61(tt(),X,Y) -> 1(plus(X,Y)) 0.00/0.38 12: U71(tt(),X,Y) -> 0(plus(plus(X,Y),1(z()))) 0.00/0.38 13: U81(tt(),X) -> X 0.00/0.38 14: U91(tt(),A,B) -> mult(prod(A),prod(B)) 0.00/0.38 15: and(tt(),X) -> X 0.00/0.38 16: isBag(empty()) -> tt() 0.00/0.38 17: isBag(singl(V1)) -> isBin(V1) 0.00/0.38 18: isBag(union(V1,V2)) -> and(isBag(V1),isBag(V2)) 0.00/0.38 19: isBin(z()) -> tt() 0.00/0.38 20: isBin(0(V1)) -> isBin(V1) 0.00/0.38 21: isBin(1(V1)) -> isBin(V1) 0.00/0.38 22: isBin(mult(V1,V2)) -> and(isBin(V1),isBin(V2)) 0.00/0.38 23: isBin(plus(V1,V2)) -> and(isBin(V1),isBin(V2)) 0.00/0.38 24: isBin(prod(V1)) -> isBag(V1) 0.00/0.38 25: isBin(sum(V1)) -> isBag(V1) 0.00/0.38 26: mult(z(),X) -> U11(isBin(X)) 0.00/0.38 27: mult(0(X),Y) -> U21(and(isBin(X),isBin(Y)),X,Y) 0.00/0.38 28: mult(1(X),Y) -> U31(and(isBin(X),isBin(Y)),X,Y) 0.00/0.38 29: plus(z(),X) -> U41(isBin(X),X) 0.00/0.38 30: plus(0(X),0(Y)) -> U51(and(isBin(X),isBin(Y)),X,Y) 0.00/0.38 31: plus(0(X),1(Y)) -> U61(and(isBin(X),isBin(Y)),X,Y) 0.00/0.38 32: plus(1(X),1(Y)) -> U71(and(isBin(X),isBin(Y)),X,Y) 0.00/0.38 33: prod(empty()) -> 1(z()) 0.00/0.38 34: prod(singl(X)) -> U81(isBin(X),X) 0.00/0.38 35: prod(union(A,B)) -> U91(and(isBag(A),isBag(B)),A,B) 0.00/0.38 36: sum(empty()) -> 0(z()) 0.00/0.38 37: sum(singl(X)) -> U101(isBin(X),X) 0.00/0.38 38: sum(union(A,B)) -> U111(and(isBag(A),isBag(B)),A,B) 0.00/0.38 Number of strict rules: 38 0.00/0.38 Direct POLO(bPol) ... failed. 0.00/0.38 Uncurrying ... failed. 0.00/0.38 Dependency Pairs: 0.00/0.38 #1: #plus(z(),X) -> #U41(isBin(X),X) 0.00/0.38 #2: #plus(z(),X) -> #isBin(X) 0.00/0.38 #3: #prod(union(A,B)) -> #U91(and(isBag(A),isBag(B)),A,B) 0.00/0.38 #4: #prod(union(A,B)) -> #and(isBag(A),isBag(B)) 0.00/0.38 #5: #prod(union(A,B)) -> #isBag(A) 0.00/0.38 #6: #prod(union(A,B)) -> #isBag(B) 0.00/0.38 #7: #mult(x,mult(y,z)) ->= #mult(mult(x,y),z) 0.00/0.38 #8: #mult(x,mult(y,z)) ->= #mult(x,y) 0.00/0.38 #9: #sum(singl(X)) -> #U101(isBin(X),X) 0.00/0.38 #10: #sum(singl(X)) -> #isBin(X) 0.00/0.38 #11: #sum(union(A,B)) -> #U111(and(isBag(A),isBag(B)),A,B) 0.00/0.38 #12: #sum(union(A,B)) -> #and(isBag(A),isBag(B)) 0.00/0.38 #13: #sum(union(A,B)) -> #isBag(A) 0.00/0.38 #14: #sum(union(A,B)) -> #isBag(B) 0.00/0.38 #15: #U111(tt(),A,B) -> #plus(sum(A),sum(B)) 0.00/0.38 #16: #U111(tt(),A,B) -> #sum(A) 0.00/0.38 #17: #U111(tt(),A,B) -> #sum(B) 0.00/0.38 #18: #union(x,union(y,z)) ->= #union(union(x,y),z) 0.00/0.38 #19: #union(x,union(y,z)) ->= #union(x,y) 0.00/0.38 #20: #U61(tt(),X,Y) -> #plus(X,Y) 0.00/0.38 #21: #isBin(prod(V1)) -> #isBag(V1) 0.00/0.38 #22: #isBin(plus(V1,V2)) -> #and(isBin(V1),isBin(V2)) 0.00/0.38 #23: #isBin(plus(V1,V2)) -> #isBin(V1) 0.00/0.38 #24: #isBin(plus(V1,V2)) -> #isBin(V2) 0.00/0.38 #25: #U71(tt(),X,Y) -> #0(plus(plus(X,Y),1(z()))) 0.00/0.38 #26: #U71(tt(),X,Y) -> #plus(plus(X,Y),1(z())) 0.00/0.38 #27: #U71(tt(),X,Y) -> #plus(X,Y) 0.00/0.38 #28: #plus(0(X),1(Y)) -> #U61(and(isBin(X),isBin(Y)),X,Y) 0.00/0.38 #29: #plus(0(X),1(Y)) -> #and(isBin(X),isBin(Y)) 0.00/0.38 #30: #plus(0(X),1(Y)) -> #isBin(X) 0.00/0.38 #31: #plus(0(X),1(Y)) -> #isBin(Y) 0.00/0.38 #32: #U91(tt(),A,B) -> #mult(prod(A),prod(B)) 0.00/0.38 #33: #U91(tt(),A,B) -> #prod(A) 0.00/0.38 #34: #U91(tt(),A,B) -> #prod(B) 0.00/0.38 #35: #plus(0(X),0(Y)) -> #U51(and(isBin(X),isBin(Y)),X,Y) 0.00/0.38 #36: #plus(0(X),0(Y)) -> #and(isBin(X),isBin(Y)) 0.00/0.38 #37: #plus(0(X),0(Y)) -> #isBin(X) 0.00/0.38 #38: #plus(0(X),0(Y)) -> #isBin(Y) 0.00/0.38 #39: #isBin(sum(V1)) -> #isBag(V1) 0.00/0.38 #40: #isBin(0(V1)) -> #isBin(V1) 0.00/0.38 #41: #U21(tt(),X,Y) -> #0(mult(X,Y)) 0.00/0.38 #42: #U21(tt(),X,Y) -> #mult(X,Y) 0.00/0.38 #43: #plus(x,plus(y,z)) ->= #plus(plus(x,y),z) 0.00/0.38 #44: #plus(x,plus(y,z)) ->= #plus(x,y) 0.00/0.38 #45: #U51(tt(),X,Y) -> #0(plus(X,Y)) 0.00/0.38 #46: #U51(tt(),X,Y) -> #plus(X,Y) 0.00/0.38 #47: #mult(1(X),Y) -> #U31(and(isBin(X),isBin(Y)),X,Y) 0.00/0.38 #48: #mult(1(X),Y) -> #and(isBin(X),isBin(Y)) 0.00/0.38 #49: #mult(1(X),Y) -> #isBin(X) 0.00/0.38 #50: #mult(1(X),Y) -> #isBin(Y) 0.00/0.38 #51: #isBin(mult(V1,V2)) -> #and(isBin(V1),isBin(V2)) 0.00/0.38 #52: #isBin(mult(V1,V2)) -> #isBin(V1) 0.00/0.38 #53: #isBin(mult(V1,V2)) -> #isBin(V2) 0.00/0.38 #54: #prod(singl(X)) -> #U81(isBin(X),X) 0.00/0.38 #55: #prod(singl(X)) -> #isBin(X)
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