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TRS Equational pair #487092838
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
n148.star.cs.uiowa.edu
space
Mixed_AC
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.101685 seconds
cpu usage
0.061202
user time
0.038345
system time
0.022857
max virtual memory
113188.0
max residence set size
6996.0
stage attributes
key
value
starexec-result
MAYBE
output
MAYBE Input TRS: AC symbols: plus union mult 1: union(X,empty()) -> X 2: union(empty(),X) -> X 3: 0(z()) -> z() 4: and(tt(),X) -> X 5: mult(z(),X) -> z() 6: mult(0(X),Y) -> 0(mult(X,Y)) 7: mult(1(X),Y) -> plus(0(mult(X,Y)),Y) 8: plus(z(),X) -> X 9: plus(0(X),0(Y)) -> 0(plus(X,Y)) 10: plus(0(X),1(Y)) -> 1(plus(X,Y)) 11: plus(1(X),1(Y)) -> 0(plus(plus(X,Y),1(z()))) 12: prod(empty()) -> 1(z()) 13: prod(singl(X)) -> X 14: prod(union(A,B)) -> mult(prod(A),prod(B)) 15: sum(empty()) -> 0(z()) 16: sum(singl(X)) -> X 17: sum(union(A,B)) -> plus(sum(A),sum(B)) Number of strict rules: 17 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #mult(0(X),Y) -> #0(mult(X,Y)) #2: #mult(0(X),Y) -> #mult(X,Y) #3: #plus(0(X),0(Y)) -> #0(plus(X,Y)) #4: #plus(0(X),0(Y)) -> #plus(X,Y) #5: #plus(1(X),1(Y)) -> #0(plus(plus(X,Y),1(z()))) #6: #plus(1(X),1(Y)) -> #plus(plus(X,Y),1(z())) #7: #plus(1(X),1(Y)) -> #plus(X,Y) #8: #prod(union(A,B)) -> #mult(prod(A),prod(B)) #9: #prod(union(A,B)) -> #prod(A) #10: #prod(union(A,B)) -> #prod(B) #11: #mult(x,mult(y,z)) ->= #mult(mult(x,y),z) #12: #mult(x,mult(y,z)) ->= #mult(x,y) #13: #mult(1(X),Y) -> #plus(0(mult(X,Y)),Y) #14: #mult(1(X),Y) -> #0(mult(X,Y)) #15: #mult(1(X),Y) -> #mult(X,Y) #16: #plus(0(X),1(Y)) -> #plus(X,Y) #17: #sum(union(A,B)) -> #plus(sum(A),sum(B)) #18: #sum(union(A,B)) -> #sum(A) #19: #sum(union(A,B)) -> #sum(B) #20: #union(x,union(y,z)) ->= #union(union(x,y),z) #21: #union(x,union(y,z)) ->= #union(x,y) #22: #sum(empty()) -> #0(z()) #23: #plus(x,plus(y,z)) ->= #plus(plus(x,y),z) #24: #plus(x,plus(y,z)) ->= #plus(x,y) Number of SCCs: 5, DPs: 16 SCC { #18 #19 } POLO(Sum)... succeeded. #0 w: 0 1 w: 0 prod w: 0 z w: 0 #prod w: 0 and w: 0 #plus w: 0 sum w: 0 mult w: 0 0 w: 0 union w: x1 + x2 + 1 singl w: 0 plus w: 0 empty w: 0 tt w: 0 #sum w: x1 #and w: 0 #union w: 0 #mult w: 0 USABLE RULES: { } Removed DPs: #18 #19 Number of SCCs: 4, DPs: 14 SCC { #9 #10 } POLO(Sum)... succeeded. #0 w: 0 1 w: 0 prod w: 0 z w: 0 #prod w: x1 and w: 0 #plus w: 0 sum w: 0 mult w: 0 0 w: 0 union w: x1 + x2 + 1 singl w: 0 plus w: 0 empty w: 0 tt w: 0 #sum w: 0 #and w: 0 #union w: 0 #mult w: 0 USABLE RULES: { } Removed DPs: #9 #10 Number of SCCs: 3, DPs: 12 SCC { #20 #21 } only weak rules. Number of SCCs: 2, DPs: 10
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