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TRS Standard pair #487071912
details
property
value
status
complete
benchmark
PALINDROME_nosorts_noand_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n183.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
1.11122 seconds
cpu usage
3.20304
user time
2.42224
system time
0.780798
max virtual memory
1175308.0
max residence set size
78904.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a____(__(X,Y),Z) -> a____(mark(X),a____(mark(Y),mark(Z))) a____(X,nil()) -> mark(X) a____(nil(),X) -> mark(X) a__U11(tt()) -> a__U12(tt()) a__U12(tt()) -> tt() a__isNePal(__(I,__(P,I))) -> a__U11(tt()) mark(__(X1,X2)) -> a____(mark(X1),mark(X2)) mark(U11(X)) -> a__U11(mark(X)) mark(U12(X)) -> a__U12(mark(X)) mark(isNePal(X)) -> a__isNePal(mark(X)) mark(nil()) -> nil() mark(tt()) -> tt() a____(X1,X2) -> __(X1,X2) a__U11(X) -> U11(X) a__U12(X) -> U12(X) a__isNePal(X) -> isNePal(X) Proof: Matrix Interpretation Processor: dim=3 interpretation: [0] [tt] = [0] [0], [1 0 0] [U11](x0) = [0 0 0]x0 [0 0 0] , [1 1 1] [1 0 0] [a____](x0, x1) = [0 0 0]x0 + [0 0 0]x1 [0 0 0] [0 0 0] , [1] [nil] = [0] [0], [1 1 1] [a__U11](x0) = [0 0 0]x0 [0 0 0] , [1 0 0] [isNePal](x0) = [0 0 0]x0 [0 0 0] , [1 1 1] [1 0 0] [__](x0, x1) = [0 0 0]x0 + [0 0 0]x1 [0 0 0] [0 0 0] , [1 0 0] [a__isNePal](x0) = [0 1 0]x0 [0 0 0] , [1 0 0] [U12](x0) = [0 0 0]x0 [0 0 0] , [1 0 0] [a__U12](x0) = [0 1 1]x0 [0 0 0] , [1 0 0] [mark](x0) = [0 0 0]x0 [0 0 0] orientation: [1 1 1] [1 0 0] [1 0 0] [1 0 0] [1 0 0] [1 0 0] a____(__(X,Y),Z) = [0 0 0]X + [0 0 0]Y + [0 0 0]Z >= [0 0 0]X + [0 0 0]Y + [0 0 0]Z = a____(mark(X),a____(mark(Y),mark(Z))) [0 0 0] [0 0 0] [0 0 0] [0 0 0] [0 0 0] [0 0 0] [1 1 1] [1] [1 0 0] a____(X,nil()) = [0 0 0]X + [0] >= [0 0 0]X = mark(X) [0 0 0] [0] [0 0 0] [1 0 0] [1] [1 0 0] a____(nil(),X) = [0 0 0]X + [0] >= [0 0 0]X = mark(X) [0 0 0] [0] [0 0 0] [0] [0] a__U11(tt()) = [0] >= [0] = a__U12(tt()) [0] [0] [0] [0] a__U12(tt()) = [0] >= [0] = tt() [0] [0] [2 1 1] [1 1 1] [0] a__isNePal(__(I,__(P,I))) = [0 0 0]I + [0 0 0]P >= [0] = a__U11(tt()) [0 0 0] [0 0 0] [0] [1 1 1] [1 0 0] [1 0 0] [1 0 0] mark(__(X1,X2)) = [0 0 0]X1 + [0 0 0]X2 >= [0 0 0]X1 + [0 0 0]X2 = a____(mark(X1),mark(X2)) [0 0 0] [0 0 0] [0 0 0] [0 0 0] [1 0 0] [1 0 0] mark(U11(X)) = [0 0 0]X >= [0 0 0]X = a__U11(mark(X)) [0 0 0] [0 0 0]
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