details

property	value
status	complete
benchmark	PALINDROME_nosorts_GM.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n175.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	0.635799 seconds
cpu usage	1.43397
user time	1.08098
system time	0.352982
max virtual memory	1260824.0
max residence set size	66268.0

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__and(tt(),X) -> mark(X) a__isNePal(__(I,__(P,I))) -> tt() mark(__(X1,X2)) -> a____(mark(X1),mark(X2)) mark(and(X1,X2)) -> a__and(mark(X1),X2) mark(isNePal(X)) -> a__isNePal(mark(X)) mark(nil()) -> nil() mark(tt()) -> tt() a____(X1,X2) -> __(X1,X2) a__and(X1,X2) -> and(X1,X2) a__isNePal(X) -> isNePal(X) Proof: Matrix Interpretation Processor: dim=1 interpretation: [tt] = 4, [isNePal](x0) = x0 + 4, [a____](x0, x1) = x0 + x1 + 2, [nil] = 0, [a__and](x0, x1) = x0 + 4x1, [__](x0, x1) = x0 + x1 + 2, [and](x0, x1) = x0 + 4x1, [a__isNePal](x0) = x0 + 4, [mark](x0) = x0 orientation: a____(__(X,Y),Z) = X + Y + Z + 4 >= X + Y + Z + 4 = a____(mark(X),a____(mark(Y),mark(Z))) a____(X,nil()) = X + 2 >= X = mark(X) a____(nil(),X) = X + 2 >= X = mark(X) a__and(tt(),X) = 4X + 4 >= X = mark(X) a__isNePal(__(I,__(P,I))) = 2I + P + 8 >= 4 = tt() mark(__(X1,X2)) = X1 + X2 + 2 >= X1 + X2 + 2 = a____(mark(X1),mark(X2)) mark(and(X1,X2)) = X1 + 4X2 >= X1 + 4X2 = a__and(mark(X1),X2) mark(isNePal(X)) = X + 4 >= X + 4 = a__isNePal(mark(X)) mark(nil()) = 0 >= 0 = nil() mark(tt()) = 4 >= 4 = tt() a____(X1,X2) = X1 + X2 + 2 >= X1 + X2 + 2 = __(X1,X2) a__and(X1,X2) = X1 + 4X2 >= X1 + 4X2 = and(X1,X2) a__isNePal(X) = X + 4 >= X + 4 = isNePal(X) problem: a____(__(X,Y),Z) -> a____(mark(X),a____(mark(Y),mark(Z))) mark(__(X1,X2)) -> a____(mark(X1),mark(X2)) mark(and(X1,X2)) -> a__and(mark(X1),X2) mark(isNePal(X)) -> a__isNePal(mark(X)) mark(nil()) -> nil() mark(tt()) -> tt() a____(X1,X2) -> __(X1,X2) a__and(X1,X2) -> and(X1,X2) a__isNePal(X) -> isNePal(X) Matrix Interpretation Processor: dim=1 interpretation: [tt] = 0, [isNePal](x0) = 2x0 + 2, [a____](x0, x1) = 2x0 + x1 + 4, [nil] = 0, [a__and](x0, x1) = x0 + x1, [__](x0, x1) = 2x0 + x1 + 4, [and](x0, x1) = x0 + x1, [a__isNePal](x0) = 2x0 + 2, [mark](x0) = x0 orientation: a____(__(X,Y),Z) = 4X + 2Y + Z + 12 >= 2X + 2Y + Z + 8 = a____(mark(X),a____(mark(Y),mark(Z))) mark(__(X1,X2)) = 2X1 + X2 + 4 >= 2X1 + X2 + 4 = a____(mark(X1),mark(X2)) mark(and(X1,X2)) = X1 + X2 >= X1 + X2 = a__and(mark(X1),X2) popout

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actions

all output return to TRS Standard