details

property	value
status	complete
benchmark	append-wrong.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n140.star.cs.uiowa.edu
space	CiME_04

run statistics

property	value
solver	AProVE
configuration	rcdcRelativeAlsoLower
runtime (wallclock)	1.90271 seconds
cpu usage	4.5664
user time	4.3579
system time	0.208507
max virtual memory	1.841096E7
max residence set size	327624.0

stage attributes

key	value
starexec-result	WORST_CASE(NON_POLY, ?)

output

WORST_CASE(NON_POLY, ?) proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(INF, INF). (0) DCpxTrs (1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms] (2) CpxRelTRS (3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 281 ms] (4) CpxRelTRS (5) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms] (6) TRS for Loop Detection (7) InfiniteLowerBoundProof [FINISHED, 28 ms] (8) BOUNDS(INF, INF) ---------------------------------------- (0) Obligation: The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(INF, INF). The TRS R consists of the following rules: is_empty(nil) -> true is_empty(cons(x, l)) -> false hd(cons(x, l)) -> x tl(cons(x, l)) -> cons(x, l) append(l1, l2) -> ifappend(l1, l2, is_empty(l1)) ifappend(l1, l2, true) -> l2 ifappend(l1, l2, false) -> cons(hd(l1), append(tl(l1), l2)) S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- (1) DerivationalComplexityToRuntimeComplexityProof (BOTH BOUNDS(ID, ID)) The following rules have been added to S to convert the given derivational complexity problem to a runtime complexity problem: encArg(nil) -> nil encArg(true) -> true encArg(cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2)) encArg(false) -> false encArg(cons_is_empty(x_1)) -> is_empty(encArg(x_1)) encArg(cons_hd(x_1)) -> hd(encArg(x_1)) encArg(cons_tl(x_1)) -> tl(encArg(x_1)) encArg(cons_append(x_1, x_2)) -> append(encArg(x_1), encArg(x_2)) encArg(cons_ifappend(x_1, x_2, x_3)) -> ifappend(encArg(x_1), encArg(x_2), encArg(x_3)) encode_is_empty(x_1) -> is_empty(encArg(x_1)) encode_nil -> nil encode_true -> true encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2)) encode_false -> false encode_hd(x_1) -> hd(encArg(x_1)) encode_tl(x_1) -> tl(encArg(x_1)) encode_append(x_1, x_2) -> append(encArg(x_1), encArg(x_2)) encode_ifappend(x_1, x_2, x_3) -> ifappend(encArg(x_1), encArg(x_2), encArg(x_3)) ---------------------------------------- (2) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(INF, INF). The TRS R consists of the following rules: is_empty(nil) -> true is_empty(cons(x, l)) -> false hd(cons(x, l)) -> x tl(cons(x, l)) -> cons(x, l) append(l1, l2) -> ifappend(l1, l2, is_empty(l1)) ifappend(l1, l2, true) -> l2 ifappend(l1, l2, false) -> cons(hd(l1), append(tl(l1), l2)) The (relative) TRS S consists of the following rules: encArg(nil) -> nil encArg(true) -> true encArg(cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2)) encArg(false) -> false encArg(cons_is_empty(x_1)) -> is_empty(encArg(x_1)) encArg(cons_hd(x_1)) -> hd(encArg(x_1)) encArg(cons_tl(x_1)) -> tl(encArg(x_1)) encArg(cons_append(x_1, x_2)) -> append(encArg(x_1), encArg(x_2)) encArg(cons_ifappend(x_1, x_2, x_3)) -> ifappend(encArg(x_1), encArg(x_2), encArg(x_3)) encode_is_empty(x_1) -> is_empty(encArg(x_1)) encode_nil -> nil encode_true -> true encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2)) encode_false -> false encode_hd(x_1) -> hd(encArg(x_1)) encode_tl(x_1) -> tl(encArg(x_1)) encode_append(x_1, x_2) -> append(encArg(x_1), encArg(x_2)) encode_ifappend(x_1, x_2, x_3) -> ifappend(encArg(x_1), encArg(x_2), encArg(x_3)) popout

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

job log

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actions

all output return to Derivational Complexity: TRS Innermost