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TRS Outer 67415 pair #381918216
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
n057.star.cs.uiowa.edu
space
Strategy_outermost_added_08
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
3.8182489872 seconds
cpu usage
12.70227797
max memory
2.520358912E9
stage attributes
key
value
output-size
4416
starexec-result
NO
output
/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- NO proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Outermost Termination of the given OTRS could be disproven: (0) OTRS (1) OutermostNonTerminationProof [COMPLETE, 1264 ms] (2) NO ---------------------------------------- (0) Obligation: Term rewrite system R: The TRS R consists of the following rules: 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 Outermost Strategy. ---------------------------------------- (1) OutermostNonTerminationProof (COMPLETE) Term rewrite system R: The TRS R consists of the following rules: 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
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return to TRS Outer 67415