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TRS Standard pair #487071432
details
property
value
status
complete
benchmark
PALINDROME_nokinds_Z.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)
1.16299 seconds
cpu usage
3.40106
user time
2.69059
system time
0.710466
max virtual memory
1875420.0
max residence set size
78204.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: __(__(X,Y),Z) -> __(X,__(Y,Z)) __(X,nil()) -> X __(nil(),X) -> X and(tt(),X) -> activate(X) isList(V) -> isNeList(activate(V)) isList(n__nil()) -> tt() isList(n____(V1,V2)) -> and(isList(activate(V1)),n__isList(activate(V2))) isNeList(V) -> isQid(activate(V)) isNeList(n____(V1,V2)) -> and(isList(activate(V1)),n__isNeList(activate(V2))) isNeList(n____(V1,V2)) -> and(isNeList(activate(V1)),n__isList(activate(V2))) isNePal(V) -> isQid(activate(V)) isNePal(n____(I,__(P,I))) -> and(isQid(activate(I)),n__isPal(activate(P))) isPal(V) -> isNePal(activate(V)) isPal(n__nil()) -> tt() isQid(n__a()) -> tt() isQid(n__e()) -> tt() isQid(n__i()) -> tt() isQid(n__o()) -> tt() isQid(n__u()) -> tt() nil() -> n__nil() __(X1,X2) -> n____(X1,X2) isList(X) -> n__isList(X) isNeList(X) -> n__isNeList(X) isPal(X) -> n__isPal(X) a() -> n__a() e() -> n__e() i() -> n__i() o() -> n__o() u() -> n__u() activate(n__nil()) -> nil() activate(n____(X1,X2)) -> __(X1,X2) activate(n__isList(X)) -> isList(X) activate(n__isNeList(X)) -> isNeList(X) activate(n__isPal(X)) -> isPal(X) activate(n__a()) -> a() activate(n__e()) -> e() activate(n__i()) -> i() activate(n__o()) -> o() activate(n__u()) -> u() activate(X) -> X Proof: Matrix Interpretation Processor: dim=1 interpretation: [n__o] = 0, [activate](x0) = x0, [n__a] = 0, [n____](x0, x1) = 5x0 + x1, [nil] = 2, [and](x0, x1) = x0 + x1, [n__e] = 0, [e] = 0, [n__u] = 0, [n__i] = 4, [i] = 4, [isList](x0) = x0, [isQid](x0) = x0, [__](x0, x1) = 5x0 + x1, [n__nil] = 2, [a] = 0, [isPal](x0) = 4x0, [isNePal](x0) = x0, [o] = 0, [u] = 0, [n__isNeList](x0) = x0, [n__isList](x0) = x0, [n__isPal](x0) = 4x0, [isNeList](x0) = x0, [tt] = 0 orientation: __(__(X,Y),Z) = 25X + 5Y + Z >= 5X + 5Y + Z = __(X,__(Y,Z))
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