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TRS Standard pair #487071472
details
property
value
status
complete
benchmark
PALINDROME_nosorts-noand_L.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n192.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.484229 seconds
cpu usage
0.890121
user time
0.628329
system time
0.261792
max virtual memory
96176.0
max residence set size
60612.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: __(__(X,Y),Z) -> __(X,__(Y,Z)) __(X,nil()) -> X __(nil(),X) -> X U11(tt()) -> U12(tt()) U12(tt()) -> tt() isNePal(__(I,__(P,I))) -> U11(tt()) Proof: Matrix Interpretation Processor: dim=1 interpretation: [U12](x0) = x0, [nil] = 0, [U11](x0) = x0, [isNePal](x0) = x0, [__](x0, x1) = x0 + x1 + 3, [tt] = 6 orientation: __(__(X,Y),Z) = X + Y + Z + 6 >= X + Y + Z + 6 = __(X,__(Y,Z)) __(X,nil()) = X + 3 >= X = X __(nil(),X) = X + 3 >= X = X U11(tt()) = 6 >= 6 = U12(tt()) U12(tt()) = 6 >= 6 = tt() isNePal(__(I,__(P,I))) = 2I + P + 6 >= 6 = U11(tt()) problem: __(__(X,Y),Z) -> __(X,__(Y,Z)) U11(tt()) -> U12(tt()) U12(tt()) -> tt() isNePal(__(I,__(P,I))) -> U11(tt()) Matrix Interpretation Processor: dim=1 interpretation: [U12](x0) = x0, [U11](x0) = x0 + 1, [isNePal](x0) = 2x0 + 2, [__](x0, x1) = x0 + x1, [tt] = 0 orientation: __(__(X,Y),Z) = X + Y + Z >= X + Y + Z = __(X,__(Y,Z)) U11(tt()) = 1 >= 0 = U12(tt()) U12(tt()) = 0 >= 0 = tt() isNePal(__(I,__(P,I))) = 4I + 2P + 2 >= 1 = U11(tt()) problem: __(__(X,Y),Z) -> __(X,__(Y,Z)) U12(tt()) -> tt() Matrix Interpretation Processor: dim=3 interpretation: [1 0 0] [1] [U12](x0) = [0 0 0]x0 + [1] [0 0 0] [0], [1 0 0] [1 0 0] [0] [__](x0, x1) = [0 1 1]x0 + [0 0 1]x1 + [0] [0 0 0] [0 0 0] [1], [0] [tt] = [0] [0] orientation: [1 0 0] [1 0 0] [1 0 0] [0] [1 0 0] [1 0 0] [1 0 0] [0] __(__(X,Y),Z) = [0 1 1]X + [0 0 1]Y + [0 0 1]Z + [1] >= [0 1 1]X + [0 0 0]Y + [0 0 0]Z + [1] = __(X,__(Y,Z)) [0 0 0] [0 0 0] [0 0 0] [1] [0 0 0] [0 0 0] [0 0 0] [1] [1] [0] U12(tt()) = [1] >= [0] = tt() [0] [0] problem: __(__(X,Y),Z) -> __(X,__(Y,Z)) Matrix Interpretation Processor: dim=3 interpretation: [1 0 1] [1 0 0] [1] [__](x0, x1) = [0 0 0]x0 + [0 0 0]x1 + [0] [1 0 0] [0 0 1] [1] orientation: [2 0 1] [1 0 1] [1 0 0] [3] [1 0 1] [1 0 1] [1 0 0] [2] __(__(X,Y),Z) = [0 0 0]X + [0 0 0]Y + [0 0 0]Z + [0] >= [0 0 0]X + [0 0 0]Y + [0 0 0]Z + [0] = __(X,__(Y,Z)) [1 0 1] [1 0 0] [0 0 1] [2] [1 0 0] [1 0 0] [0 0 1] [2] problem:
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