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TRS_Equational 2019-03-21 05.09 pair #429997335
details
property
value
status
complete
benchmark
BAG_nosorts.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n075.star.cs.uiowa.edu
space
Mixed_AC
run statistics
property
value
solver
NaTT
configuration
Default
runtime (wallclock)
0.107876 seconds
cpu usage
0.062916
user time
0.029448
system time
0.033468
max virtual memory
113176.0
max residence set size
8872.0
stage attributes
key
value
starexec-result
MAYBE
output
0.00/0.10 MAYBE 0.00/0.10 Input TRS: 0.00/0.10 AC symbols: plus union mult 0.00/0.10 1: union(X,empty()) -> X 0.00/0.10 2: union(empty(),X) -> X 0.00/0.10 3: 0(z()) -> z() 0.00/0.10 4: and(tt(),X) -> X 0.00/0.10 5: mult(z(),X) -> z() 0.00/0.10 6: mult(0(X),Y) -> 0(mult(X,Y)) 0.00/0.10 7: mult(1(X),Y) -> plus(0(mult(X,Y)),Y) 0.00/0.10 8: plus(z(),X) -> X 0.00/0.10 9: plus(0(X),0(Y)) -> 0(plus(X,Y)) 0.00/0.10 10: plus(0(X),1(Y)) -> 1(plus(X,Y)) 0.00/0.10 11: plus(1(X),1(Y)) -> 0(plus(plus(X,Y),1(z()))) 0.00/0.10 12: prod(empty()) -> 1(z()) 0.00/0.10 13: prod(singl(X)) -> X 0.00/0.10 14: prod(union(A,B)) -> mult(prod(A),prod(B)) 0.00/0.10 15: sum(empty()) -> 0(z()) 0.00/0.10 16: sum(singl(X)) -> X 0.00/0.10 17: sum(union(A,B)) -> plus(sum(A),sum(B)) 0.00/0.10 Number of strict rules: 17 0.00/0.10 Direct POLO(bPol) ... failed. 0.00/0.10 Uncurrying ... failed. 0.00/0.10 Dependency Pairs: 0.00/0.10 #1: #mult(0(X),Y) -> #0(mult(X,Y)) 0.00/0.10 #2: #mult(0(X),Y) -> #mult(X,Y) 0.00/0.10 #3: #plus(0(X),0(Y)) -> #0(plus(X,Y)) 0.00/0.10 #4: #plus(0(X),0(Y)) -> #plus(X,Y) 0.00/0.10 #5: #plus(1(X),1(Y)) -> #0(plus(plus(X,Y),1(z()))) 0.00/0.10 #6: #plus(1(X),1(Y)) -> #plus(plus(X,Y),1(z())) 0.00/0.10 #7: #plus(1(X),1(Y)) -> #plus(X,Y) 0.00/0.10 #8: #prod(union(A,B)) -> #mult(prod(A),prod(B)) 0.00/0.10 #9: #prod(union(A,B)) -> #prod(A) 0.00/0.10 #10: #prod(union(A,B)) -> #prod(B) 0.00/0.10 #11: #mult(x,mult(y,z)) ->= #mult(mult(x,y),z) 0.00/0.10 #12: #mult(x,mult(y,z)) ->= #mult(x,y) 0.00/0.10 #13: #mult(1(X),Y) -> #plus(0(mult(X,Y)),Y) 0.00/0.10 #14: #mult(1(X),Y) -> #0(mult(X,Y)) 0.00/0.10 #15: #mult(1(X),Y) -> #mult(X,Y) 0.00/0.10 #16: #plus(0(X),1(Y)) -> #plus(X,Y) 0.00/0.10 #17: #sum(union(A,B)) -> #plus(sum(A),sum(B)) 0.00/0.10 #18: #sum(union(A,B)) -> #sum(A) 0.00/0.10 #19: #sum(union(A,B)) -> #sum(B) 0.00/0.10 #20: #union(x,union(y,z)) ->= #union(union(x,y),z) 0.00/0.10 #21: #union(x,union(y,z)) ->= #union(x,y) 0.00/0.10 #22: #sum(empty()) -> #0(z()) 0.00/0.10 #23: #plus(x,plus(y,z)) ->= #plus(plus(x,y),z) 0.00/0.10 #24: #plus(x,plus(y,z)) ->= #plus(x,y) 0.00/0.10 Number of SCCs: 5, DPs: 16 0.00/0.10 SCC { #18 #19 } 0.00/0.10 POLO(Sum)... succeeded. 0.00/0.10 #0 w: 0 0.00/0.10 1 w: 0 0.00/0.10 prod w: 0 0.00/0.10 z w: 0 0.00/0.10 #prod w: 0 0.00/0.10 and w: 0 0.00/0.10 #plus w: 0 0.00/0.10 sum w: 0 0.00/0.10 mult w: 0 0.00/0.10 0 w: 0 0.00/0.10 union w: x1 + x2 + 1 0.00/0.10 singl w: 0 0.00/0.10 plus w: 0 0.00/0.10 empty w: 0 0.00/0.10 tt w: 0 0.00/0.10 #sum w: x1 0.00/0.10 #and w: 0 0.00/0.10 #union w: 0 0.00/0.10 #mult w: 0 0.00/0.10 USABLE RULES: { } 0.00/0.10 Removed DPs: #18 #19 0.00/0.10 Number of SCCs: 4, DPs: 14 0.00/0.10 SCC { #9 #10 } 0.00/0.10 POLO(Sum)... succeeded. 0.00/0.10 #0 w: 0 0.00/0.10 1 w: 0 0.00/0.10 prod w: 0 0.00/0.10 z w: 0 0.00/0.10 #prod w: x1 0.00/0.10 and w: 0 0.00/0.10 #plus w: 0 0.00/0.10 sum w: 0 0.00/0.10 mult w: 0 0.00/0.10 0 w: 0 0.00/0.10 union w: x1 + x2 + 1 0.00/0.10 singl w: 0 0.00/0.10 plus w: 0 0.00/0.10 empty w: 0 0.00/0.10 tt w: 0 0.00/0.10 #sum w: 0 0.00/0.10 #and w: 0 0.00/0.10 #union w: 0 0.00/0.10 #mult w: 0 0.00/0.10 USABLE RULES: { } 0.00/0.10 Removed DPs: #9 #10 0.00/0.10 Number of SCCs: 3, DPs: 12 0.00/0.10 SCC { #20 #21 } 0.00/0.10 only weak rules. 0.00/0.10 Number of SCCs: 2, DPs: 10
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