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Runti Compl Full Rewri 10127 pair #381903561
details
property
value
status
complete
benchmark
ExIntrod_GM04_C.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n057.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
293.91513896 seconds
cpu usage
1148.19410391
max memory
1.5313883136E10
stage attributes
key
value
output-size
23266
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The Runtime Complexity (full) of the given CpxTRS could be proven to be BOUNDS(n^1, INF).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), 455 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), 83 ms] (14) typed CpxTrs (15) RewriteLemmaProof [LOWER BOUND(ID), 91 ms] (16) typed CpxTrs (17) RewriteLemmaProof [LOWER BOUND(ID), 42 ms] (18) 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(nats) -> mark(adx(zeros)) active(zeros) -> mark(cons(0, zeros)) active(incr(cons(X, Y))) -> mark(cons(s(X), incr(Y))) active(adx(cons(X, Y))) -> mark(incr(cons(X, adx(Y)))) active(hd(cons(X, Y))) -> mark(X) active(tl(cons(X, Y))) -> mark(Y) active(adx(X)) -> adx(active(X)) active(incr(X)) -> incr(active(X)) active(hd(X)) -> hd(active(X)) active(tl(X)) -> tl(active(X)) adx(mark(X)) -> mark(adx(X)) incr(mark(X)) -> mark(incr(X)) hd(mark(X)) -> mark(hd(X)) tl(mark(X)) -> mark(tl(X)) proper(nats) -> ok(nats) proper(adx(X)) -> adx(proper(X)) proper(zeros) -> ok(zeros) proper(cons(X1, X2)) -> cons(proper(X1), proper(X2)) proper(0) -> ok(0) proper(incr(X)) -> incr(proper(X)) proper(s(X)) -> s(proper(X)) proper(hd(X)) -> hd(proper(X)) proper(tl(X)) -> tl(proper(X)) adx(ok(X)) -> ok(adx(X)) cons(ok(X1), ok(X2)) -> ok(cons(X1, X2)) incr(ok(X)) -> ok(incr(X)) s(ok(X)) -> ok(s(X)) hd(ok(X)) -> ok(hd(X)) tl(ok(X)) -> ok(tl(X)) top(mark(X)) -> top(proper(X)) top(ok(X)) -> top(active(X)) S is empty. Rewrite Strategy: FULL ---------------------------------------- (1) RenamingProof (BOTH BOUNDS(ID, ID)) Renamed function symbols to avoid clashes with predefined symbol. ---------------------------------------- (2) 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(nats) -> mark(adx(zeros)) active(zeros) -> mark(cons(0', zeros)) active(incr(cons(X, Y))) -> mark(cons(s(X), incr(Y))) active(adx(cons(X, Y))) -> mark(incr(cons(X, adx(Y)))) active(hd(cons(X, Y))) -> mark(X) active(tl(cons(X, Y))) -> mark(Y) active(adx(X)) -> adx(active(X)) active(incr(X)) -> incr(active(X)) active(hd(X)) -> hd(active(X)) active(tl(X)) -> tl(active(X))
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