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Runti Compl Full Rewri 10127 pair #381903057
details
property
value
status
complete
benchmark
OvConsOS_complete-noand_FR.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n074.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
7.29736804962 seconds
cpu usage
24.613776698
max memory
3.883618304E9
stage attributes
key
value
output-size
20473
starexec-result
WORST_CASE(NON_POLY, ?)
output
/export/starexec/sandbox/solver/bin/starexec_run_complexity /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- WORST_CASE(NON_POLY, ?) proof of /export/starexec/sandbox/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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The Runtime Complexity (full) of the given CpxTRS could be proven to be BOUNDS(EXP, INF).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, 4338 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: zeros -> cons(0, n__zeros) U101(tt, V1, V2) -> U102(isNatKind(activate(V1)), activate(V1), activate(V2)) U102(tt, V1, V2) -> U103(isNatIListKind(activate(V2)), activate(V1), activate(V2)) U103(tt, V1, V2) -> U104(isNatIListKind(activate(V2)), activate(V1), activate(V2)) U104(tt, V1, V2) -> U105(isNat(activate(V1)), activate(V2)) U105(tt, V2) -> U106(isNatIList(activate(V2))) U106(tt) -> tt U11(tt, V1) -> U12(isNatIListKind(activate(V1)), activate(V1)) U111(tt, L, N) -> U112(isNatIListKind(activate(L)), activate(L), activate(N)) U112(tt, L, N) -> U113(isNat(activate(N)), activate(L), activate(N)) U113(tt, L, N) -> U114(isNatKind(activate(N)), activate(L)) U114(tt, L) -> s(length(activate(L))) U12(tt, V1) -> U13(isNatList(activate(V1))) U121(tt, IL) -> U122(isNatIListKind(activate(IL))) U122(tt) -> nil U13(tt) -> tt U131(tt, IL, M, N) -> U132(isNatIListKind(activate(IL)), activate(IL), activate(M), activate(N)) U132(tt, IL, M, N) -> U133(isNat(activate(M)), activate(IL), activate(M), activate(N)) U133(tt, IL, M, N) -> U134(isNatKind(activate(M)), activate(IL), activate(M), activate(N)) U134(tt, IL, M, N) -> U135(isNat(activate(N)), activate(IL), activate(M), activate(N)) U135(tt, IL, M, N) -> U136(isNatKind(activate(N)), activate(IL), activate(M), activate(N)) U136(tt, IL, M, N) -> cons(activate(N), n__take(activate(M), activate(IL))) U21(tt, V1) -> U22(isNatKind(activate(V1)), activate(V1)) U22(tt, V1) -> U23(isNat(activate(V1))) U23(tt) -> tt U31(tt, V) -> U32(isNatIListKind(activate(V)), activate(V)) U32(tt, V) -> U33(isNatList(activate(V))) U33(tt) -> tt U41(tt, V1, V2) -> U42(isNatKind(activate(V1)), activate(V1), activate(V2)) U42(tt, V1, V2) -> U43(isNatIListKind(activate(V2)), activate(V1), activate(V2)) U43(tt, V1, V2) -> U44(isNatIListKind(activate(V2)), activate(V1), activate(V2)) U44(tt, V1, V2) -> U45(isNat(activate(V1)), activate(V2)) U45(tt, V2) -> U46(isNatIList(activate(V2))) U46(tt) -> tt U51(tt, V2) -> U52(isNatIListKind(activate(V2))) U52(tt) -> tt U61(tt, V2) -> U62(isNatIListKind(activate(V2))) U62(tt) -> tt U71(tt) -> tt U81(tt) -> tt U91(tt, V1, V2) -> U92(isNatKind(activate(V1)), activate(V1), activate(V2)) U92(tt, V1, V2) -> U93(isNatIListKind(activate(V2)), activate(V1), activate(V2)) U93(tt, V1, V2) -> U94(isNatIListKind(activate(V2)), activate(V1), activate(V2)) U94(tt, V1, V2) -> U95(isNat(activate(V1)), activate(V2)) U95(tt, V2) -> U96(isNatList(activate(V2))) U96(tt) -> tt isNat(n__0) -> tt isNat(n__length(V1)) -> U11(isNatIListKind(activate(V1)), activate(V1)) isNat(n__s(V1)) -> U21(isNatKind(activate(V1)), activate(V1)) isNatIList(V) -> U31(isNatIListKind(activate(V)), activate(V)) isNatIList(n__zeros) -> tt isNatIList(n__cons(V1, V2)) -> U41(isNatKind(activate(V1)), activate(V1), activate(V2)) isNatIListKind(n__nil) -> tt isNatIListKind(n__zeros) -> tt isNatIListKind(n__cons(V1, V2)) -> U51(isNatKind(activate(V1)), activate(V2)) isNatIListKind(n__take(V1, V2)) -> U61(isNatKind(activate(V1)), activate(V2)) isNatKind(n__0) -> tt isNatKind(n__length(V1)) -> U71(isNatIListKind(activate(V1))) isNatKind(n__s(V1)) -> U81(isNatKind(activate(V1))) isNatList(n__nil) -> tt isNatList(n__cons(V1, V2)) -> U91(isNatKind(activate(V1)), activate(V1), activate(V2)) isNatList(n__take(V1, V2)) -> U101(isNatKind(activate(V1)), activate(V1), activate(V2)) length(nil) -> 0 length(cons(N, L)) -> U111(isNatList(activate(L)), activate(L), N) take(0, IL) -> U121(isNatIList(IL), IL)
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