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Runtime_Complexity_Innermost_Rewriting 2019-04-01 06.40 pair #433313299
details
property
value
status
complete
benchmark
revlist.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n097.star.cs.uiowa.edu
space
Rubio_04
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
292.353 seconds
cpu usage
1126.82
user time
1111.67
system time
15.1505
max virtual memory
2.202242E7
max residence set size
1.4852196E7
stage attributes
key
value
starexec-result
WORST_CASE(Omega(n^1), ?)
output
1125.83/292.11 WORST_CASE(Omega(n^1), ?) 1126.11/292.15 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 1126.11/292.15 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 1126.11/292.15 1126.11/292.15 1126.11/292.15 The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(n^1, INF). 1126.11/292.15 1126.11/292.15 (0) CpxTRS 1126.11/292.15 (1) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms] 1126.11/292.15 (2) CpxTRS 1126.11/292.15 (3) SlicingProof [LOWER BOUND(ID), 0 ms] 1126.11/292.15 (4) CpxTRS 1126.11/292.15 (5) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] 1126.11/292.15 (6) typed CpxTrs 1126.11/292.15 (7) OrderProof [LOWER BOUND(ID), 0 ms] 1126.11/292.15 (8) typed CpxTrs 1126.11/292.15 (9) RewriteLemmaProof [LOWER BOUND(ID), 225 ms] 1126.11/292.15 (10) BEST 1126.11/292.15 (11) proven lower bound 1126.11/292.15 (12) LowerBoundPropagationProof [FINISHED, 0 ms] 1126.11/292.15 (13) BOUNDS(n^1, INF) 1126.11/292.15 (14) typed CpxTrs 1126.11/292.15 (15) RewriteLemmaProof [LOWER BOUND(ID), 578 ms] 1126.11/292.15 (16) typed CpxTrs 1126.11/292.15 1126.11/292.15 1126.11/292.15 ---------------------------------------- 1126.11/292.15 1126.11/292.15 (0) 1126.11/292.15 Obligation: 1126.11/292.15 The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(n^1, INF). 1126.11/292.15 1126.11/292.15 1126.11/292.15 The TRS R consists of the following rules: 1126.11/292.15 1126.11/292.15 rev1(0, nil) -> 0 1126.11/292.15 rev1(s(X), nil) -> s(X) 1126.11/292.16 rev1(X, cons(Y, L)) -> rev1(Y, L) 1126.11/292.16 rev(nil) -> nil 1126.11/292.16 rev(cons(X, L)) -> cons(rev1(X, L), rev2(X, L)) 1126.11/292.16 rev2(X, nil) -> nil 1126.11/292.16 rev2(X, cons(Y, L)) -> rev(cons(X, rev(rev2(Y, L)))) 1126.11/292.16 1126.11/292.16 S is empty. 1126.11/292.16 Rewrite Strategy: INNERMOST 1126.11/292.16 ---------------------------------------- 1126.11/292.16 1126.11/292.16 (1) RenamingProof (BOTH BOUNDS(ID, ID)) 1126.11/292.16 Renamed function symbols to avoid clashes with predefined symbol. 1126.11/292.16 ---------------------------------------- 1126.11/292.16 1126.11/292.16 (2) 1126.11/292.16 Obligation: 1126.11/292.16 The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(n^1, INF). 1126.11/292.16 1126.11/292.16 1126.11/292.16 The TRS R consists of the following rules: 1126.11/292.16 1126.11/292.16 rev1(0', nil) -> 0' 1126.11/292.16 rev1(s(X), nil) -> s(X) 1126.11/292.16 rev1(X, cons(Y, L)) -> rev1(Y, L) 1126.11/292.16 rev(nil) -> nil 1126.11/292.16 rev(cons(X, L)) -> cons(rev1(X, L), rev2(X, L)) 1126.11/292.16 rev2(X, nil) -> nil 1126.11/292.16 rev2(X, cons(Y, L)) -> rev(cons(X, rev(rev2(Y, L)))) 1126.11/292.16 1126.11/292.16 S is empty. 1126.11/292.16 Rewrite Strategy: INNERMOST 1126.11/292.16 ---------------------------------------- 1126.11/292.16 1126.11/292.16 (3) SlicingProof (LOWER BOUND(ID)) 1126.11/292.16 Sliced the following arguments: 1126.11/292.16 s/0 1126.11/292.16 1126.11/292.16 ---------------------------------------- 1126.11/292.16 1126.11/292.16 (4) 1126.11/292.16 Obligation: 1126.11/292.16 The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(n^1, INF). 1126.11/292.16 1126.11/292.16 1126.11/292.16 The TRS R consists of the following rules: 1126.11/292.16 1126.11/292.16 rev1(0', nil) -> 0' 1126.11/292.16 rev1(s, nil) -> s 1126.11/292.16 rev1(X, cons(Y, L)) -> rev1(Y, L) 1126.11/292.16 rev(nil) -> nil 1126.11/292.16 rev(cons(X, L)) -> cons(rev1(X, L), rev2(X, L)) 1126.11/292.16 rev2(X, nil) -> nil 1126.11/292.16 rev2(X, cons(Y, L)) -> rev(cons(X, rev(rev2(Y, L)))) 1126.11/292.16 1126.11/292.16 S is empty. 1126.11/292.16 Rewrite Strategy: INNERMOST 1126.11/292.16 ---------------------------------------- 1126.11/292.16 1126.11/292.16 (5) TypeInferenceProof (BOTH BOUNDS(ID, ID)) 1126.11/292.16 Infered types. 1126.11/292.16 ---------------------------------------- 1126.11/292.16 1126.11/292.16 (6)
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