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Runti Compl Full Rewri 10127 pair #381903883
details
property
value
status
complete
benchmark
OvConsOS_nokinds_noand_C.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n028.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
295.37183404 seconds
cpu usage
1172.6677414
max memory
1.5450017792E10
stage attributes
key
value
output-size
220977
starexec-result
WORST_CASE(Omega(n^1), ?)
output
/export/starexec/sandbox/solver/bin/starexec_run_complexity /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- WORST_CASE(Omega(n^1), ?) 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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The Runtime Complexity (full) of the given CpxTRS could be proven to be BOUNDS(n^1, INF). (0) CpxTRS (1) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms] (2) CpxTRS (3) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (4) typed CpxTrs (5) OrderProof [LOWER BOUND(ID), 0 ms] (6) typed CpxTrs (7) RewriteLemmaProof [LOWER BOUND(ID), 485 ms] (8) BEST (9) proven lower bound (10) LowerBoundPropagationProof [FINISHED, 0 ms] (11) BOUNDS(n^1, INF) (12) typed CpxTrs (13) RewriteLemmaProof [LOWER BOUND(ID), 124 ms] (14) typed CpxTrs (15) RewriteLemmaProof [LOWER BOUND(ID), 127 ms] (16) typed CpxTrs (17) RewriteLemmaProof [LOWER BOUND(ID), 93 ms] (18) typed CpxTrs (19) RewriteLemmaProof [LOWER BOUND(ID), 86 ms] (20) typed CpxTrs (21) RewriteLemmaProof [LOWER BOUND(ID), 107 ms] (22) typed CpxTrs (23) RewriteLemmaProof [LOWER BOUND(ID), 117 ms] (24) typed CpxTrs (25) RewriteLemmaProof [LOWER BOUND(ID), 228 ms] (26) typed CpxTrs (27) RewriteLemmaProof [LOWER BOUND(ID), 204 ms] (28) typed CpxTrs (29) RewriteLemmaProof [LOWER BOUND(ID), 141 ms] (30) typed CpxTrs (31) RewriteLemmaProof [LOWER BOUND(ID), 77 ms] (32) typed CpxTrs (33) RewriteLemmaProof [LOWER BOUND(ID), 114 ms] (34) typed CpxTrs (35) RewriteLemmaProof [LOWER BOUND(ID), 42 ms] (36) typed CpxTrs (37) RewriteLemmaProof [LOWER BOUND(ID), 122 ms] (38) typed CpxTrs (39) RewriteLemmaProof [LOWER BOUND(ID), 118 ms] (40) typed CpxTrs (41) RewriteLemmaProof [LOWER BOUND(ID), 145 ms] (42) typed CpxTrs (43) RewriteLemmaProof [LOWER BOUND(ID), 165 ms] (44) typed CpxTrs (45) RewriteLemmaProof [LOWER BOUND(ID), 55 ms] (46) typed CpxTrs (47) RewriteLemmaProof [LOWER BOUND(ID), 282 ms] (48) typed CpxTrs ---------------------------------------- (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)) -> mark(tt) active(U21(tt)) -> mark(tt) active(U31(tt)) -> mark(tt) active(U41(tt, V2)) -> mark(U42(isNatIList(V2))) active(U42(tt)) -> mark(tt) active(U51(tt, V2)) -> mark(U52(isNatList(V2))) active(U52(tt)) -> mark(tt) active(U61(tt, V2)) -> mark(U62(isNatIList(V2))) active(U62(tt)) -> mark(tt) active(U71(tt, L, N)) -> mark(U72(isNat(N), L)) active(U72(tt, L)) -> mark(s(length(L))) active(U81(tt)) -> mark(nil) active(U91(tt, IL, M, N)) -> mark(U92(isNat(M), IL, M, N)) active(U92(tt, IL, M, N)) -> mark(U93(isNat(N), IL, M, N)) active(U93(tt, IL, M, N)) -> mark(cons(N, take(M, IL))) active(isNat(0)) -> mark(tt) active(isNat(length(V1))) -> mark(U11(isNatList(V1))) active(isNat(s(V1))) -> mark(U21(isNat(V1))) active(isNatIList(V)) -> mark(U31(isNatList(V))) active(isNatIList(zeros)) -> mark(tt) active(isNatIList(cons(V1, V2))) -> mark(U41(isNat(V1), V2)) active(isNatList(nil)) -> mark(tt) active(isNatList(cons(V1, V2))) -> mark(U51(isNat(V1), V2)) active(isNatList(take(V1, V2))) -> mark(U61(isNat(V1), V2)) active(length(nil)) -> mark(0) active(length(cons(N, L))) -> mark(U71(isNatList(L), L, N))
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