details

property	value
status	complete
benchmark	power.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n150.star.cs.uiowa.edu
space	Frederiksen_Glenstrup

run statistics

property	value
solver	AProVE
configuration	complexity
runtime (wallclock)	291.768 seconds
cpu usage	763.98
user time	758.351
system time	5.62898
max virtual memory	1.9192544E7
max residence set size	7679868.0

stage attributes

key	value
starexec-result	WORST_CASE(Omega(n^3), ?)

output

WORST_CASE(Omega(n^3), ?) proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(n^3, INF).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), 256 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), 76 ms] (16) BEST (17) proven lower bound (18) LowerBoundPropagationProof [FINISHED, 0 ms] (19) BOUNDS(n^3, INF) (20) typed CpxTrs (21) RewriteLemmaProof [LOWER BOUND(ID), 537 ms] (22) BOUNDS(1, INF) ---------------------------------------- (0) Obligation: The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(n^3, INF). The TRS R consists of the following rules: power(x', Cons(x, xs)) -> mult(x', power(x', xs)) mult(x', Cons(x, xs)) -> add0(x', mult(x', xs)) add0(x', Cons(x, xs)) -> Cons(Cons(Nil, Nil), add0(x', xs)) power(x, Nil) -> Cons(Nil, Nil) mult(x, Nil) -> Nil add0(x, Nil) -> x goal(x, y) -> power(x, y) S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- (1) RenamingProof (BOTH BOUNDS(ID, ID)) Renamed function symbols to avoid clashes with predefined symbol. ---------------------------------------- (2) Obligation: The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(n^3, INF). The TRS R consists of the following rules: power(x', Cons(x, xs)) -> mult(x', power(x', xs)) mult(x', Cons(x, xs)) -> add0(x', mult(x', xs)) add0(x', Cons(x, xs)) -> Cons(Cons(Nil, Nil), add0(x', xs)) power(x, Nil) -> Cons(Nil, Nil) mult(x, Nil) -> Nil add0(x, Nil) -> x goal(x, y) -> power(x, y) S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- (3) SlicingProof (LOWER BOUND(ID)) Sliced the following arguments: Cons/0 ---------------------------------------- (4) Obligation: The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(n^3, INF). The TRS R consists of the following rules: power(x', Cons(xs)) -> mult(x', power(x', xs)) mult(x', Cons(xs)) -> add0(x', mult(x', xs)) add0(x', Cons(xs)) -> Cons(add0(x', xs)) power(x, Nil) -> Cons(Nil) mult(x, Nil) -> Nil add0(x, Nil) -> x goal(x, y) -> power(x, y) S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- popout

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

job log

popout

actions

all output return to Runtime Complexity: TRS Innermost