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TRS Standard pair #487070692
details
property
value
status
complete
benchmark
PALINDROME_nosorts_C.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n186.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
2.16972 seconds
cpu usage
7.40146
user time
6.24391
system time
1.15755
max virtual memory
1980992.0
max residence set size
106076.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: active(__(__(X,Y),Z)) -> mark(__(X,__(Y,Z))) active(__(X,nil())) -> mark(X) active(__(nil(),X)) -> mark(X) active(and(tt(),X)) -> mark(X) active(isNePal(__(I,__(P,I)))) -> mark(tt()) active(__(X1,X2)) -> __(active(X1),X2) active(__(X1,X2)) -> __(X1,active(X2)) active(and(X1,X2)) -> and(active(X1),X2) active(isNePal(X)) -> isNePal(active(X)) __(mark(X1),X2) -> mark(__(X1,X2)) __(X1,mark(X2)) -> mark(__(X1,X2)) and(mark(X1),X2) -> mark(and(X1,X2)) isNePal(mark(X)) -> mark(isNePal(X)) proper(__(X1,X2)) -> __(proper(X1),proper(X2)) proper(nil()) -> ok(nil()) proper(and(X1,X2)) -> and(proper(X1),proper(X2)) proper(tt()) -> ok(tt()) proper(isNePal(X)) -> isNePal(proper(X)) __(ok(X1),ok(X2)) -> ok(__(X1,X2)) and(ok(X1),ok(X2)) -> ok(and(X1,X2)) isNePal(ok(X)) -> ok(isNePal(X)) top(mark(X)) -> top(proper(X)) top(ok(X)) -> top(active(X)) Proof: Matrix Interpretation Processor: dim=1 interpretation: [tt] = 0, [ok](x0) = x0, [active](x0) = x0, [nil] = 2, [and](x0, x1) = 2x0 + 4x1, [__](x0, x1) = x0 + x1, [proper](x0) = x0, [top](x0) = x0, [isNePal](x0) = 4x0, [mark](x0) = x0 orientation: active(__(__(X,Y),Z)) = X + Y + Z >= X + Y + Z = mark(__(X,__(Y,Z))) active(__(X,nil())) = X + 2 >= X = mark(X) active(__(nil(),X)) = X + 2 >= X = mark(X) active(and(tt(),X)) = 4X >= X = mark(X) active(isNePal(__(I,__(P,I)))) = 8I + 4P >= 0 = mark(tt()) active(__(X1,X2)) = X1 + X2 >= X1 + X2 = __(active(X1),X2) active(__(X1,X2)) = X1 + X2 >= X1 + X2 = __(X1,active(X2)) active(and(X1,X2)) = 2X1 + 4X2 >= 2X1 + 4X2 = and(active(X1),X2) active(isNePal(X)) = 4X >= 4X = isNePal(active(X)) __(mark(X1),X2) = X1 + X2 >= X1 + X2 = mark(__(X1,X2)) __(X1,mark(X2)) = X1 + X2 >= X1 + X2 = mark(__(X1,X2)) and(mark(X1),X2) = 2X1 + 4X2 >= 2X1 + 4X2 = mark(and(X1,X2)) isNePal(mark(X)) = 4X >= 4X = mark(isNePal(X)) proper(__(X1,X2)) = X1 + X2 >= X1 + X2 = __(proper(X1),proper(X2)) proper(nil()) = 2 >= 2 = ok(nil()) proper(and(X1,X2)) = 2X1 + 4X2 >= 2X1 + 4X2 = and(proper(X1),proper(X2)) proper(tt()) = 0 >= 0 = ok(tt()) proper(isNePal(X)) = 4X >= 4X = isNePal(proper(X)) __(ok(X1),ok(X2)) = X1 + X2 >= X1 + X2 = ok(__(X1,X2)) and(ok(X1),ok(X2)) = 2X1 + 4X2 >= 2X1 + 4X2 = ok(and(X1,X2)) isNePal(ok(X)) = 4X >= 4X = ok(isNePal(X)) top(mark(X)) = X >= X = top(proper(X)) top(ok(X)) = X >= X = top(active(X)) problem: active(__(__(X,Y),Z)) -> mark(__(X,__(Y,Z))) active(and(tt(),X)) -> mark(X) active(isNePal(__(I,__(P,I)))) -> mark(tt())
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