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Runti Compl Full Rewri 10127 pair #381903901
details
property
value
status
complete
benchmark
Ex4_DLMMU04_FR.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n029.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
2.28252410889 seconds
cpu usage
6.303878519
max memory
7.87853312E8
stage attributes
key
value
output-size
9160
starexec-result
WORST_CASE(NON_POLY, ?)
output
/export/starexec/sandbox2/solver/bin/starexec_run_complexity /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- WORST_CASE(NON_POLY, ?) proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The Runtime Complexity (full) of the given CpxTRS could be proven to be BOUNDS(EXP, INF). (0) CpxTRS (1) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms] (2) TRS for Loop Detection (3) DecreasingLoopProof [LOWER BOUND(ID), 0 ms] (4) BEST (5) proven lower bound (6) LowerBoundPropagationProof [FINISHED, 0 ms] (7) BOUNDS(n^1, INF) (8) TRS for Loop Detection (9) DecreasingLoopProof [FINISHED, 416 ms] (10) BOUNDS(EXP, INF) ---------------------------------------- (0) Obligation: The Runtime Complexity (full) of the given CpxTRS could be proven to be BOUNDS(EXP, INF). 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(activate(X)) activate(n__length(X)) -> length(activate(X)) activate(n__zeros) -> zeros activate(n__cons(X1, X2)) -> cons(activate(X1), X2) activate(n__nil) -> nil activate(n__take(X1, X2)) -> take(activate(X1), activate(X2)) activate(X) -> X S is empty. Rewrite Strategy: FULL ---------------------------------------- (1) RelTrsToDecreasingLoopProblemProof (LOWER BOUND(ID)) Transformed a relative TRS into a decreasing-loop problem. ---------------------------------------- (2) Obligation: Analyzing the following TRS for decreasing loops: The Runtime Complexity (full) of the given CpxTRS could be proven to be BOUNDS(EXP, INF). 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)))
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