details

property	value
status	complete
benchmark	Ex4_7_56_Bor03_Z.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n137.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	AProVE
configuration	complexity
runtime (wallclock)	291.549 seconds
cpu usage	306.699
user time	304.341
system time	2.35826
max virtual memory	1.8279408E7
max residence set size	5752116.0

stage attributes

key	value
starexec-result	WORST_CASE(Omega(n^1), ?)

output

WORST_CASE(Omega(n^1), ?) proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Runtime Complexity (full) of the given CpxTRS could be proven to be BOUNDS(n^1, INF).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), 208 ms] (10) proven lower bound (11) LowerBoundPropagationProof [FINISHED, 0 ms] (12) BOUNDS(n^1, INF) ---------------------------------------- (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: from(X) -> cons(X, n__from(s(X))) after(0, XS) -> XS after(s(N), cons(X, XS)) -> after(N, activate(XS)) from(X) -> n__from(X) activate(n__from(X)) -> from(X) activate(X) -> 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: from(X) -> cons(X, n__from(s(X))) after(0', XS) -> XS after(s(N), cons(X, XS)) -> after(N, activate(XS)) from(X) -> n__from(X) activate(n__from(X)) -> from(X) activate(X) -> X S is empty. Rewrite Strategy: FULL ---------------------------------------- (3) SlicingProof (LOWER BOUND(ID)) Sliced the following arguments: from/0 cons/0 n__from/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: from -> cons(n__from) after(0', XS) -> XS after(s(N), cons(XS)) -> after(N, activate(XS)) from -> n__from activate(n__from) -> from activate(X) -> X S is empty. Rewrite Strategy: FULL ---------------------------------------- (5) TypeInferenceProof (BOTH BOUNDS(ID, ID)) Infered types. ---------------------------------------- (6) Obligation: TRS: Rules: from -> cons(n__from) after(0', XS) -> XS popout

output may be truncated. 'popout' for the full output.

job log

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actions

all output return to Runtime Complexity: TRS