details

property	value
status	complete
benchmark	Ex4_DLMMU04_GM.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n180.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	52.8357 seconds
cpu usage	202.698
user time	188.356
system time	14.3426
max virtual memory	6525052.0
max residence set size	428616.0

stage attributes

key	value
starexec-result	YES

output

YES Problem: a__and(tt(),T) -> mark(T) a__isNatIList(IL) -> a__isNatList(IL) a__isNat(0()) -> tt() a__isNat(s(N)) -> a__isNat(N) a__isNat(length(L)) -> a__isNatList(L) a__isNatIList(zeros()) -> tt() a__isNatIList(cons(N,IL)) -> a__and(a__isNat(N),a__isNatIList(IL)) a__isNatList(nil()) -> tt() a__isNatList(cons(N,L)) -> a__and(a__isNat(N),a__isNatList(L)) a__isNatList(take(N,IL)) -> a__and(a__isNat(N),a__isNatIList(IL)) a__zeros() -> cons(0(),zeros()) a__take(0(),IL) -> a__uTake1(a__isNatIList(IL)) a__uTake1(tt()) -> nil() a__take(s(M),cons(N,IL)) -> a__uTake2(a__and(a__isNat(M),a__and(a__isNat(N),a__isNatIList(IL))),M,N,IL) a__uTake2(tt(),M,N,IL) -> cons(mark(N),take(M,IL)) a__length(cons(N,L)) -> a__uLength(a__and(a__isNat(N),a__isNatList(L)),L) a__uLength(tt(),L) -> s(a__length(mark(L))) mark(and(X1,X2)) -> a__and(mark(X1),mark(X2)) mark(isNatIList(X)) -> a__isNatIList(X) mark(isNatList(X)) -> a__isNatList(X) mark(isNat(X)) -> a__isNat(X) mark(length(X)) -> a__length(mark(X)) mark(zeros()) -> a__zeros() mark(take(X1,X2)) -> a__take(mark(X1),mark(X2)) mark(uTake1(X)) -> a__uTake1(mark(X)) mark(uTake2(X1,X2,X3,X4)) -> a__uTake2(mark(X1),X2,X3,X4) mark(uLength(X1,X2)) -> a__uLength(mark(X1),X2) mark(tt()) -> tt() mark(0()) -> 0() mark(s(X)) -> s(mark(X)) mark(cons(X1,X2)) -> cons(mark(X1),X2) mark(nil()) -> nil() a__and(X1,X2) -> and(X1,X2) a__isNatIList(X) -> isNatIList(X) a__isNatList(X) -> isNatList(X) a__isNat(X) -> isNat(X) a__length(X) -> length(X) a__zeros() -> zeros() a__take(X1,X2) -> take(X1,X2) a__uTake1(X) -> uTake1(X) a__uTake2(X1,X2,X3,X4) -> uTake2(X1,X2,X3,X4) a__uLength(X1,X2) -> uLength(X1,X2) Proof: DP Processor: DPs: a__and#(tt(),T) -> mark#(T) a__isNatIList#(IL) -> a__isNatList#(IL) a__isNat#(s(N)) -> a__isNat#(N) a__isNat#(length(L)) -> a__isNatList#(L) a__isNatIList#(cons(N,IL)) -> a__isNatIList#(IL) a__isNatIList#(cons(N,IL)) -> a__isNat#(N) a__isNatIList#(cons(N,IL)) -> a__and#(a__isNat(N),a__isNatIList(IL)) a__isNatList#(cons(N,L)) -> a__isNatList#(L) a__isNatList#(cons(N,L)) -> a__isNat#(N) a__isNatList#(cons(N,L)) -> a__and#(a__isNat(N),a__isNatList(L)) a__isNatList#(take(N,IL)) -> a__isNatIList#(IL) a__isNatList#(take(N,IL)) -> a__isNat#(N) a__isNatList#(take(N,IL)) -> a__and#(a__isNat(N),a__isNatIList(IL)) a__take#(0(),IL) -> a__isNatIList#(IL) a__take#(0(),IL) -> a__uTake1#(a__isNatIList(IL)) a__take#(s(M),cons(N,IL)) -> a__isNatIList#(IL) a__take#(s(M),cons(N,IL)) -> a__isNat#(N) a__take#(s(M),cons(N,IL)) -> a__and#(a__isNat(N),a__isNatIList(IL)) a__take#(s(M),cons(N,IL)) -> a__isNat#(M) a__take#(s(M),cons(N,IL)) -> a__and#(a__isNat(M),a__and(a__isNat(N),a__isNatIList(IL))) a__take#(s(M),cons(N,IL)) -> a__uTake2#(a__and(a__isNat(M),a__and(a__isNat(N),a__isNatIList(IL))),M,N,IL) a__uTake2#(tt(),M,N,IL) -> mark#(N) a__length#(cons(N,L)) -> a__isNatList#(L) a__length#(cons(N,L)) -> a__isNat#(N) a__length#(cons(N,L)) -> a__and#(a__isNat(N),a__isNatList(L)) a__length#(cons(N,L)) -> a__uLength#(a__and(a__isNat(N),a__isNatList(L)),L) a__uLength#(tt(),L) -> mark#(L) a__uLength#(tt(),L) -> a__length#(mark(L)) mark#(and(X1,X2)) -> mark#(X2) mark#(and(X1,X2)) -> mark#(X1) mark#(and(X1,X2)) -> a__and#(mark(X1),mark(X2)) mark#(isNatIList(X)) -> a__isNatIList#(X) mark#(isNatList(X)) -> a__isNatList#(X) mark#(isNat(X)) -> a__isNat#(X) mark#(length(X)) -> mark#(X) mark#(length(X)) -> a__length#(mark(X)) mark#(zeros()) -> a__zeros#() mark#(take(X1,X2)) -> mark#(X2) mark#(take(X1,X2)) -> mark#(X1) mark#(take(X1,X2)) -> a__take#(mark(X1),mark(X2)) mark#(uTake1(X)) -> mark#(X) mark#(uTake1(X)) -> a__uTake1#(mark(X)) mark#(uTake2(X1,X2,X3,X4)) -> mark#(X1) mark#(uTake2(X1,X2,X3,X4)) -> a__uTake2#(mark(X1),X2,X3,X4) mark#(uLength(X1,X2)) -> mark#(X1) mark#(uLength(X1,X2)) -> a__uLength#(mark(X1),X2) mark#(s(X)) -> mark#(X) mark#(cons(X1,X2)) -> mark#(X1) TRS: popout

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

job log

popout

actions

all output return to TRS Standard