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TRS Standard pair #487071607
details
property
value
status
complete
benchmark
LengthOfFiniteLists_nokinds-noand_FR.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n073.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
70.8239 seconds
cpu usage
272.939
user time
267.48
system time
5.45967
max virtual memory
7070408.0
max residence set size
340500.0
stage attributes
key
value
starexec-result
NO
output
NO Problem: zeros() -> cons(0(),n__zeros()) U11(tt()) -> tt() U21(tt()) -> tt() U31(tt()) -> tt() U41(tt(),V2) -> U42(isNatIList(activate(V2))) U42(tt()) -> tt() U51(tt(),V2) -> U52(isNatList(activate(V2))) U52(tt()) -> tt() U61(tt(),L,N) -> U62(isNat(activate(N)),activate(L)) U62(tt(),L) -> s(length(activate(L))) isNat(n__0()) -> tt() isNat(n__length(V1)) -> U11(isNatList(activate(V1))) isNat(n__s(V1)) -> U21(isNat(activate(V1))) isNatIList(V) -> U31(isNatList(activate(V))) isNatIList(n__zeros()) -> tt() isNatIList(n__cons(V1,V2)) -> U41(isNat(activate(V1)),activate(V2)) isNatList(n__nil()) -> tt() isNatList(n__cons(V1,V2)) -> U51(isNat(activate(V1)),activate(V2)) length(nil()) -> 0() length(cons(N,L)) -> U61(isNatList(activate(L)),activate(L),N) zeros() -> n__zeros() 0() -> n__0() length(X) -> n__length(X) s(X) -> n__s(X) cons(X1,X2) -> n__cons(X1,X2) nil() -> n__nil() activate(n__zeros()) -> zeros() activate(n__0()) -> 0() activate(n__length(X)) -> length(activate(X)) activate(n__s(X)) -> s(activate(X)) activate(n__cons(X1,X2)) -> cons(activate(X1),X2) activate(n__nil()) -> nil() activate(X) -> X Proof: Matrix Interpretation Processor: dim=1 interpretation: [length](x0) = x0, [tt] = 0, [U61](x0, x1, x2) = x0 + 2x1 + 3x2, [U41](x0, x1) = 4x0 + 4x1 + 1, [0] = 0, [cons](x0, x1) = 4x0 + 4x1, [isNat](x0) = x0, [n__length](x0) = x0, [s](x0) = 2x0, [U62](x0, x1) = 2x0 + 2x1, [n__s](x0) = 2x0, [U11](x0) = x0, [isNatIList](x0) = x0 + 1, [zeros] = 0, [U31](x0) = x0 + 1, [n__0] = 0, [nil] = 4, [U52](x0) = x0, [U51](x0, x1) = 4x0 + x1, [n__cons](x0, x1) = 4x0 + 4x1, [n__nil] = 4, [U42](x0) = x0, [activate](x0) = x0, [isNatList](x0) = x0, [U21](x0) = x0, [n__zeros] = 0 orientation: zeros() = 0 >= 0 = cons(0(),n__zeros()) U11(tt()) = 0 >= 0 = tt() U21(tt()) = 0 >= 0 = tt() U31(tt()) = 1 >= 0 = tt()
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