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Runti Compl Inner Rewri 22807 pair #381904952
details
property
value
status
complete
benchmark
rematch.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n071.star.cs.uiowa.edu
space
Frederiksen_Others
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
294.263476849 seconds
cpu usage
1162.35552521
max memory
1.79396608E10
stage attributes
key
value
output-size
1192487
starexec-result
WORST_CASE(Omega(n^2), ?)
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^2), ?) proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(n^2, INF). (0) CpxRelTRS (1) STerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 318 ms] (2) CpxRelTRS (3) RenamingProof [BOTH BOUNDS(ID, ID), 45 ms] (4) CpxRelTRS (5) SlicingProof [LOWER BOUND(ID), 824 ms] (6) CpxRelTRS (7) TypeInferenceProof [BOTH BOUNDS(ID, ID), 42 ms] (8) typed CpxTrs (9) OrderProof [LOWER BOUND(ID), 97 ms] (10) typed CpxTrs (11) RewriteLemmaProof [LOWER BOUND(ID), 2424 ms] (12) BEST (13) proven lower bound (14) LowerBoundPropagationProof [FINISHED, 0 ms] (15) BOUNDS(n^1, INF) (16) typed CpxTrs (17) RewriteLemmaProof [LOWER BOUND(ID), 1173 ms] (18) BEST (19) proven lower bound (20) LowerBoundPropagationProof [FINISHED, 0 ms] (21) BOUNDS(n^2, INF) (22) typed CpxTrs ---------------------------------------- (0) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(n^2, INF). The TRS R consists of the following rules: @(Cons(x, xs), ys) -> Cons(x, @(xs, ys)) @(Nil, ys) -> ys domatch(Pchar(Cslash), Cons(Cslash, xs)) -> Cons(Cslash, xs) domatch(Pchar(Clpar), Cons(Cslash, xs)) -> Nil domatch(Pchar(Crpar), Cons(Cslash, xs)) -> Nil domatch(Pchar(Cstar), Cons(Cslash, xs)) -> Nil domatch(Pchar(Cdot), Cons(Cslash, xs)) -> Nil domatch(Pchar(Z), Cons(Cslash, xs)) -> Nil domatch(Pchar(Y), Cons(Cslash, xs)) -> Nil domatch(Pchar(X), Cons(Cslash, xs)) -> Nil domatch(Pchar(W), Cons(Cslash, xs)) -> Nil domatch(Pchar(V), Cons(Cslash, xs)) -> Nil domatch(Pchar(U), Cons(Cslash, xs)) -> Nil domatch(Pchar(T), Cons(Cslash, xs)) -> Nil domatch(Pchar(S), Cons(Cslash, xs)) -> Nil domatch(Pchar(R), Cons(Cslash, xs)) -> Nil domatch(Pchar(Q), Cons(Cslash, xs)) -> Nil domatch(Pchar(P), Cons(Cslash, xs)) -> Nil domatch(Pchar(O), Cons(Cslash, xs)) -> Nil domatch(Pchar(N), Cons(Cslash, xs)) -> Nil domatch(Pchar(M), Cons(Cslash, xs)) -> Nil domatch(Pchar(L), Cons(Cslash, xs)) -> Nil domatch(Pchar(K), Cons(Cslash, xs)) -> Nil domatch(Pchar(J), Cons(Cslash, xs)) -> Nil domatch(Pchar(I), Cons(Cslash, xs)) -> Nil domatch(Pchar(H), Cons(Cslash, xs)) -> Nil domatch(Pchar(G), Cons(Cslash, xs)) -> Nil domatch(Pchar(F), Cons(Cslash, xs)) -> Nil domatch(Pchar(E), Cons(Cslash, xs)) -> Nil domatch(Pchar(D), Cons(Cslash, xs)) -> Nil domatch(Pchar(C), Cons(Cslash, xs)) -> Nil domatch(Pchar(B), Cons(Cslash, xs)) -> Nil domatch(Pchar(A), Cons(Cslash, xs)) -> Nil domatch(Pchar(Cslash), Cons(Clpar, xs)) -> Nil domatch(Pchar(Clpar), Cons(Clpar, xs)) -> Cons(Clpar, xs) domatch(Pchar(Crpar), Cons(Clpar, xs)) -> Nil domatch(Pchar(Cstar), Cons(Clpar, xs)) -> Nil domatch(Pchar(Cdot), Cons(Clpar, xs)) -> Nil domatch(Pchar(Z), Cons(Clpar, xs)) -> Nil domatch(Pchar(Y), Cons(Clpar, xs)) -> Nil domatch(Pchar(X), Cons(Clpar, xs)) -> Nil domatch(Pchar(W), Cons(Clpar, xs)) -> Nil domatch(Pchar(V), Cons(Clpar, xs)) -> Nil domatch(Pchar(U), Cons(Clpar, xs)) -> Nil domatch(Pchar(T), Cons(Clpar, xs)) -> Nil domatch(Pchar(S), Cons(Clpar, xs)) -> Nil domatch(Pchar(R), Cons(Clpar, xs)) -> Nil domatch(Pchar(Q), Cons(Clpar, xs)) -> Nil domatch(Pchar(P), Cons(Clpar, xs)) -> Nil domatch(Pchar(O), Cons(Clpar, xs)) -> Nil domatch(Pchar(N), Cons(Clpar, xs)) -> Nil domatch(Pchar(M), Cons(Clpar, xs)) -> Nil domatch(Pchar(L), Cons(Clpar, xs)) -> Nil
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