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TRS Standard pair #487071732
details
property
value
status
complete
benchmark
PALINDROME_nokinds_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n182.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
1.7196 seconds
cpu usage
4.754
user time
3.82323
system time
0.930774
max virtual memory
1951352.0
max residence set size
93936.0
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__isList(V) -> a__isNeList(V) a__isList(nil()) -> tt() a__isList(__(V1,V2)) -> a__and(a__isList(V1),isList(V2)) a__isNeList(V) -> a__isQid(V) a__isNeList(__(V1,V2)) -> a__and(a__isList(V1),isNeList(V2)) a__isNeList(__(V1,V2)) -> a__and(a__isNeList(V1),isList(V2)) a__isNePal(V) -> a__isQid(V) a__isNePal(__(I,__(P,I))) -> a__and(a__isQid(I),isPal(P)) a__isPal(V) -> a__isNePal(V) a__isPal(nil()) -> tt() a__isQid(a()) -> tt() a__isQid(e()) -> tt() a__isQid(i()) -> tt() a__isQid(o()) -> tt() a__isQid(u()) -> tt() mark(__(X1,X2)) -> a____(mark(X1),mark(X2)) mark(and(X1,X2)) -> a__and(mark(X1),X2) mark(isList(X)) -> a__isList(X) mark(isNeList(X)) -> a__isNeList(X) mark(isQid(X)) -> a__isQid(X) mark(isNePal(X)) -> a__isNePal(X) mark(isPal(X)) -> a__isPal(X) mark(nil()) -> nil() mark(tt()) -> tt() mark(a()) -> a() mark(e()) -> e() mark(i()) -> i() mark(o()) -> o() mark(u()) -> u() a____(X1,X2) -> __(X1,X2) a__and(X1,X2) -> and(X1,X2) a__isList(X) -> isList(X) a__isNeList(X) -> isNeList(X) a__isQid(X) -> isQid(X) a__isNePal(X) -> isNePal(X) a__isPal(X) -> isPal(X) Proof: Matrix Interpretation Processor: dim=1 interpretation: [u] = 4, [tt] = 0, [e] = 4, [isList](x0) = x0, [a____](x0, x1) = 4x0 + x1, [nil] = 0, [i] = 0, [isNePal](x0) = 2x0, [and](x0, x1) = 4x0 + x1, [o] = 4, [a__and](x0, x1) = 4x0 + x1, [isNeList](x0) = x0, [__](x0, x1) = 4x0 + x1, [a__isNeList](x0) = x0, [isQid](x0) = x0, [a] = 4, [isPal](x0) = 4x0, [a__isNePal](x0) = 2x0, [a__isQid](x0) = x0, [a__isPal](x0) = 4x0, [a__isList](x0) = x0, [mark](x0) = x0 orientation: a____(__(X,Y),Z) = 16X + 4Y + Z >= 4X + 4Y + Z = a____(mark(X),a____(mark(Y),mark(Z))) a____(X,nil()) = 4X >= X = mark(X) a____(nil(),X) = X >= X = mark(X) a__and(tt(),X) = X >= X = mark(X)
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