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TRS Stand 20472 pair #381716669
details
property
value
status
complete
benchmark
Ex4_DLMMU04_Z.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n077.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
1.77118396759 seconds
cpu usage
5.442257642
max memory
2.9016064E8
stage attributes
key
value
output-size
1798
starexec-result
NO
output
/export/starexec/sandbox2/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- NO Problem: and(tt(),T) -> T isNatIList(IL) -> isNatList(activate(IL)) isNat(n__0()) -> tt() isNat(n__s(N)) -> isNat(activate(N)) isNat(n__length(L)) -> isNatList(activate(L)) isNatIList(n__zeros()) -> tt() isNatIList(n__cons(N,IL)) -> and(isNat(activate(N)),isNatIList(activate(IL))) isNatList(n__nil()) -> tt() isNatList(n__cons(N,L)) -> and(isNat(activate(N)),isNatList(activate(L))) isNatList(n__take(N,IL)) -> and(isNat(activate(N)),isNatIList(activate(IL))) zeros() -> cons(0(),n__zeros()) take(0(),IL) -> uTake1(isNatIList(IL)) uTake1(tt()) -> nil() take(s(M),cons(N,IL)) -> uTake2(and(isNat(M),and(isNat(N),isNatIList(activate(IL)))),M,N,activate(IL)) uTake2(tt(),M,N,IL) -> cons(activate(N),n__take(activate(M),activate(IL))) length(cons(N,L)) -> uLength(and(isNat(N),isNatList(activate(L))),activate(L)) uLength(tt(),L) -> s(length(activate(L))) 0() -> n__0() s(X) -> n__s(X) length(X) -> n__length(X) zeros() -> n__zeros() cons(X1,X2) -> n__cons(X1,X2) nil() -> n__nil() take(X1,X2) -> n__take(X1,X2) activate(n__0()) -> 0() activate(n__s(X)) -> s(X) activate(n__length(X)) -> length(X) activate(n__zeros()) -> zeros() activate(n__cons(X1,X2)) -> cons(X1,X2) activate(n__nil()) -> nil() activate(n__take(X1,X2)) -> take(X1,X2) activate(X) -> X Proof: Unfolding Processor: loop length: 4 terms: isNatIList(activate(n__zeros())) isNatIList(zeros()) isNatIList(cons(0(),n__zeros())) isNatIList(n__cons(0(),n__zeros())) context: and(isNat(activate(0())),[]) substitution: Qed
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