details

property	value
status	complete
benchmark	LengthOfFiniteLists_nokinds_noand_GM.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n190.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	1.86298 seconds
cpu usage	6.07681
user time	4.93949
system time	1.13732
max virtual memory	1987868.0
max residence set size	95432.0

stage attributes

key	value
starexec-result	YES

output

YES Problem: a__zeros() -> cons(0(),zeros()) a__U11(tt()) -> tt() a__U21(tt()) -> tt() a__U31(tt()) -> tt() a__U41(tt(),V2) -> a__U42(a__isNatIList(V2)) a__U42(tt()) -> tt() a__U51(tt(),V2) -> a__U52(a__isNatList(V2)) a__U52(tt()) -> tt() a__U61(tt(),L,N) -> a__U62(a__isNat(N),L) a__U62(tt(),L) -> s(a__length(mark(L))) a__isNat(0()) -> tt() a__isNat(length(V1)) -> a__U11(a__isNatList(V1)) a__isNat(s(V1)) -> a__U21(a__isNat(V1)) a__isNatIList(V) -> a__U31(a__isNatList(V)) a__isNatIList(zeros()) -> tt() a__isNatIList(cons(V1,V2)) -> a__U41(a__isNat(V1),V2) a__isNatList(nil()) -> tt() a__isNatList(cons(V1,V2)) -> a__U51(a__isNat(V1),V2) a__length(nil()) -> 0() a__length(cons(N,L)) -> a__U61(a__isNatList(L),L,N) mark(zeros()) -> a__zeros() mark(U11(X)) -> a__U11(mark(X)) mark(U21(X)) -> a__U21(mark(X)) mark(U31(X)) -> a__U31(mark(X)) mark(U41(X1,X2)) -> a__U41(mark(X1),X2) mark(U42(X)) -> a__U42(mark(X)) mark(isNatIList(X)) -> a__isNatIList(X) mark(U51(X1,X2)) -> a__U51(mark(X1),X2) mark(U52(X)) -> a__U52(mark(X)) mark(isNatList(X)) -> a__isNatList(X) mark(U61(X1,X2,X3)) -> a__U61(mark(X1),X2,X3) mark(U62(X1,X2)) -> a__U62(mark(X1),X2) mark(isNat(X)) -> a__isNat(X) mark(length(X)) -> a__length(mark(X)) mark(cons(X1,X2)) -> cons(mark(X1),X2) mark(0()) -> 0() mark(tt()) -> tt() mark(s(X)) -> s(mark(X)) mark(nil()) -> nil() a__zeros() -> zeros() a__U11(X) -> U11(X) a__U21(X) -> U21(X) a__U31(X) -> U31(X) a__U41(X1,X2) -> U41(X1,X2) a__U42(X) -> U42(X) a__isNatIList(X) -> isNatIList(X) a__U51(X1,X2) -> U51(X1,X2) a__U52(X) -> U52(X) a__isNatList(X) -> isNatList(X) a__U61(X1,X2,X3) -> U61(X1,X2,X3) a__U62(X1,X2) -> U62(X1,X2) a__isNat(X) -> isNat(X) a__length(X) -> length(X) Proof: Matrix Interpretation Processor: dim=1 interpretation: [a__length](x0) = 2x0 + 4, [tt] = 0, [a__isNat](x0) = 2x0, [a__U41](x0, x1) = x0 + 4x1, [0] = 0, [cons](x0, x1) = 2x0 + 4x1 + 1, [a__U62](x0, x1) = x0 + 4x1 + 6, [nil] = 2, [U42](x0) = x0, [U62](x0, x1) = x0 + 4x1 + 4, [s](x0) = x0, [mark](x0) = 2x0 + 1, [isNatIList](x0) = 4x0, [U11](x0) = x0 + 1, [U51](x0, x1) = 2x0 + 2x1 + 3, [a__U11](x0) = x0 + 2, [isNat](x0) = x0, [a__U42](x0) = x0, [a__zeros] = 1, [a__U31](x0) = x0, popout

output may be truncated. 'popout' for the full output.

job log

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actions

all output return to TRS Standard