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Runti Compl Full Rewri 10127 pair #381903649
details
property
value
status
complete
benchmark
LengthOfFiniteLists_complete_noand_C.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n056.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
291.795887947 seconds
cpu usage
1158.25696903
max memory
1.5464935424E10
stage attributes
key
value
output-size
37989
starexec-result
WORST_CASE(Omega(n^1), ?)
output
/export/starexec/sandbox2/solver/bin/starexec_run_complexity /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- WORST_CASE(Omega(n^1), ?) 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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The Runtime Complexity (full) of the given CpxTRS could be proven to be BOUNDS(n^1, INF).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 ---------------------------------------- (0) Obligation: The Runtime Complexity (full) of the given CpxTRS could be proven to be BOUNDS(n^1, INF). The TRS R consists of the following rules: active(zeros) -> mark(cons(0, zeros)) active(U11(tt, V1)) -> mark(U12(isNatIListKind(V1), V1)) active(U12(tt, V1)) -> mark(U13(isNatList(V1))) active(U13(tt)) -> mark(tt) active(U21(tt, V1)) -> mark(U22(isNatKind(V1), V1)) active(U22(tt, V1)) -> mark(U23(isNat(V1))) active(U23(tt)) -> mark(tt) active(U31(tt, V)) -> mark(U32(isNatIListKind(V), V)) active(U32(tt, V)) -> mark(U33(isNatList(V))) active(U33(tt)) -> mark(tt) active(U41(tt, V1, V2)) -> mark(U42(isNatKind(V1), V1, V2)) active(U42(tt, V1, V2)) -> mark(U43(isNatIListKind(V2), V1, V2)) active(U43(tt, V1, V2)) -> mark(U44(isNatIListKind(V2), V1, V2)) active(U44(tt, V1, V2)) -> mark(U45(isNat(V1), V2)) active(U45(tt, V2)) -> mark(U46(isNatIList(V2))) active(U46(tt)) -> mark(tt) active(U51(tt, V2)) -> mark(U52(isNatIListKind(V2))) active(U52(tt)) -> mark(tt) active(U61(tt)) -> mark(tt) active(U71(tt)) -> mark(tt) active(U81(tt, V1, V2)) -> mark(U82(isNatKind(V1), V1, V2)) active(U82(tt, V1, V2)) -> mark(U83(isNatIListKind(V2), V1, V2)) active(U83(tt, V1, V2)) -> mark(U84(isNatIListKind(V2), V1, V2)) active(U84(tt, V1, V2)) -> mark(U85(isNat(V1), V2)) active(U85(tt, V2)) -> mark(U86(isNatList(V2))) active(U86(tt)) -> mark(tt) active(U91(tt, L, N)) -> mark(U92(isNatIListKind(L), L, N)) active(U92(tt, L, N)) -> mark(U93(isNat(N), L, N)) active(U93(tt, L, N)) -> mark(U94(isNatKind(N), L)) active(U94(tt, L)) -> mark(s(length(L))) active(isNat(0)) -> mark(tt) active(isNat(length(V1))) -> mark(U11(isNatIListKind(V1), V1)) active(isNat(s(V1))) -> mark(U21(isNatKind(V1), V1)) active(isNatIList(V)) -> mark(U31(isNatIListKind(V), V)) active(isNatIList(zeros)) -> mark(tt) active(isNatIList(cons(V1, V2))) -> mark(U41(isNatKind(V1), V1, V2)) active(isNatIListKind(nil)) -> mark(tt) active(isNatIListKind(zeros)) -> mark(tt) active(isNatIListKind(cons(V1, V2))) -> mark(U51(isNatKind(V1), V2)) active(isNatKind(0)) -> mark(tt) active(isNatKind(length(V1))) -> mark(U61(isNatIListKind(V1))) active(isNatKind(s(V1))) -> mark(U71(isNatKind(V1))) active(isNatList(nil)) -> mark(tt) active(isNatList(cons(V1, V2))) -> mark(U81(isNatKind(V1), V1, V2)) active(length(nil)) -> mark(0) active(length(cons(N, L))) -> mark(U91(isNatList(L), L, N)) active(cons(X1, X2)) -> cons(active(X1), X2) active(U11(X1, X2)) -> U11(active(X1), X2) active(U12(X1, X2)) -> U12(active(X1), X2) active(U13(X)) -> U13(active(X)) active(U21(X1, X2)) -> U21(active(X1), X2) active(U22(X1, X2)) -> U22(active(X1), X2) active(U23(X)) -> U23(active(X)) active(U31(X1, X2)) -> U31(active(X1), X2) active(U32(X1, X2)) -> U32(active(X1), X2) active(U33(X)) -> U33(active(X)) active(U41(X1, X2, X3)) -> U41(active(X1), X2, X3) active(U42(X1, X2, X3)) -> U42(active(X1), X2, X3) active(U43(X1, X2, X3)) -> U43(active(X1), X2, X3) active(U44(X1, X2, X3)) -> U44(active(X1), X2, X3) active(U45(X1, X2)) -> U45(active(X1), X2) active(U46(X)) -> U46(active(X)) active(U51(X1, X2)) -> U51(active(X1), X2) active(U52(X)) -> U52(active(X)) active(U61(X)) -> U61(active(X)) active(U71(X)) -> U71(active(X)) active(U81(X1, X2, X3)) -> U81(active(X1), X2, X3)
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