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Runti Compl Full Rewri 10127 pair #381903205
details
property
value
status
complete
benchmark
otto10.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n038.star.cs.uiowa.edu
space
AProVE_07
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
291.901494026 seconds
cpu usage
313.614132848
max memory
5.433245696E9
stage attributes
key
value
output-size
13669
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The Runtime Complexity (full) of the given CpxTRS could be proven to be BOUNDS(n^1, INF).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) SlicingProof [LOWER BOUND(ID), 0 ms] (4) CpxTRS (5) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (6) typed CpxTrs (7) OrderProof [LOWER BOUND(ID), 0 ms] (8) typed CpxTrs (9) RewriteLemmaProof [LOWER BOUND(ID), 286 ms] (10) BEST (11) proven lower bound (12) LowerBoundPropagationProof [FINISHED, 0 ms] (13) BOUNDS(n^1, INF) (14) typed CpxTrs (15) RewriteLemmaProof [LOWER BOUND(ID), 64 ms] (16) typed CpxTrs (17) RewriteLemmaProof [LOWER BOUND(ID), 51 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: ge(x, 0) -> true ge(0, s(y)) -> false ge(s(x), s(y)) -> ge(x, y) rev(x) -> if(x, eq(0, length(x)), nil, 0, length(x)) if(x, true, z, c, l) -> z if(x, false, z, c, l) -> help(s(c), l, x, z) help(c, l, cons(x, y), z) -> if(append(y, cons(x, nil)), ge(c, l), cons(x, z), c, l) append(nil, y) -> y append(cons(x, y), z) -> cons(x, append(y, z)) length(nil) -> 0 length(cons(x, y)) -> s(length(y)) 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: ge(x, 0') -> true ge(0', s(y)) -> false ge(s(x), s(y)) -> ge(x, y) rev(x) -> if(x, eq(0', length(x)), nil, 0', length(x)) if(x, true, z, c, l) -> z if(x, false, z, c, l) -> help(s(c), l, x, z) help(c, l, cons(x, y), z) -> if(append(y, cons(x, nil)), ge(c, l), cons(x, z), c, l) append(nil, y) -> y append(cons(x, y), z) -> cons(x, append(y, z)) length(nil) -> 0' length(cons(x, y)) -> s(length(y)) S is empty. Rewrite Strategy: FULL ---------------------------------------- (3) SlicingProof (LOWER BOUND(ID)) Sliced the following arguments: eq/0 cons/0 ---------------------------------------- (4) 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:
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