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TRS Standard pair #516961604
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
n145.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.946344137192 seconds
cpu usage
2.32387226
max memory
2.60767744E8
stage attributes
key
value
output-size
15662
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_ttt2 /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- 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=1 interpretation: [tt] = 0, [U11](x0) = x0, [a____](x0, x1) = x0 + x1, [nil] = 4, [a__U11](x0) = x0, [isNePal](x0) = x0, [__](x0, x1) = x0 + x1, [a__isNePal](x0) = x0, [U12](x0) = 2x0, [a__U12](x0) = 2x0, [mark](x0) = x0 orientation: a____(__(X,Y),Z) = X + Y + Z >= X + Y + Z = a____(mark(X),a____(mark(Y),mark(Z))) a____(X,nil()) = X + 4 >= X = mark(X) a____(nil(),X) = X + 4 >= X = mark(X) a__U11(tt()) = 0 >= 0 = a__U12(tt()) a__U12(tt()) = 0 >= 0 = tt() a__isNePal(__(I,__(P,I))) = 2I + P >= 0 = a__U11(tt()) mark(__(X1,X2)) = X1 + X2 >= X1 + X2 = a____(mark(X1),mark(X2)) mark(U11(X)) = X >= X = a__U11(mark(X)) mark(U12(X)) = 2X >= 2X = a__U12(mark(X)) mark(isNePal(X)) = X >= X = a__isNePal(mark(X)) mark(nil()) = 4 >= 4 = nil() mark(tt()) = 0 >= 0 = tt() a____(X1,X2) = X1 + X2 >= X1 + X2 = __(X1,X2) a__U11(X) = X >= X = U11(X) a__U12(X) = 2X >= 2X = U12(X) a__isNePal(X) = X >= X = isNePal(X) problem: a____(__(X,Y),Z) -> a____(mark(X),a____(mark(Y),mark(Z))) 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) Matrix Interpretation Processor: dim=1
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