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Runti Compl Full Rewri 10127 pair #381902654
details
property
value
status
complete
benchmark
Liveness6.3.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n041.star.cs.uiowa.edu
space
AProVE_04
run statistics
property
value
solver
tct 2018-07-13
configuration
tct_rc
runtime (wallclock)
0.217499017715 seconds
cpu usage
0.819366283
max memory
3.467264E7
stage attributes
key
value
output-size
5099
starexec-result
WORST_CASE(Omega(n^1),O(n^1))
output
/export/starexec/sandbox/solver/bin/starexec_run_tct_rc /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- WORST_CASE(Omega(n^1),O(n^1)) * Step 1: Sum WORST_CASE(Omega(n^1),O(n^1)) + Considered Problem: - Strict TRS: check(no(x)) -> no(x) check(no(x)) -> no(check(x)) check(rec(x)) -> rec(check(x)) check(sent(x)) -> sent(check(x)) check(up(x)) -> up(check(x)) no(up(x)) -> up(no(x)) rec(bot()) -> up(sent(bot())) rec(no(x)) -> sent(rec(x)) rec(rec(x)) -> sent(rec(x)) rec(sent(x)) -> sent(rec(x)) rec(up(x)) -> up(rec(x)) sent(up(x)) -> up(sent(x)) top(no(up(x))) -> top(check(rec(x))) top(rec(up(x))) -> top(check(rec(x))) top(sent(up(x))) -> top(check(rec(x))) - Signature: {check/1,no/1,rec/1,sent/1,top/1} / {bot/0,up/1} - Obligation: runtime complexity wrt. defined symbols {check,no,rec,sent,top} and constructors {bot,up} + Applied Processor: Sum {left = someStrategy, right = someStrategy} + Details: () ** Step 1.a:1: DecreasingLoops WORST_CASE(Omega(n^1),?) + Considered Problem: - Strict TRS: check(no(x)) -> no(x) check(no(x)) -> no(check(x)) check(rec(x)) -> rec(check(x)) check(sent(x)) -> sent(check(x)) check(up(x)) -> up(check(x)) no(up(x)) -> up(no(x)) rec(bot()) -> up(sent(bot())) rec(no(x)) -> sent(rec(x)) rec(rec(x)) -> sent(rec(x)) rec(sent(x)) -> sent(rec(x)) rec(up(x)) -> up(rec(x)) sent(up(x)) -> up(sent(x)) top(no(up(x))) -> top(check(rec(x))) top(rec(up(x))) -> top(check(rec(x))) top(sent(up(x))) -> top(check(rec(x))) - Signature: {check/1,no/1,rec/1,sent/1,top/1} / {bot/0,up/1} - Obligation: runtime complexity wrt. defined symbols {check,no,rec,sent,top} and constructors {bot,up} + Applied Processor: DecreasingLoops {bound = AnyLoop, narrow = 10} + Details: The system has following decreasing Loops: check(x){x -> up(x)} = check(up(x)) ->^+ up(check(x)) = C[check(x) = check(x){}] ** Step 1.b:1: Bounds WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: check(no(x)) -> no(x) check(no(x)) -> no(check(x)) check(rec(x)) -> rec(check(x)) check(sent(x)) -> sent(check(x)) check(up(x)) -> up(check(x)) no(up(x)) -> up(no(x)) rec(bot()) -> up(sent(bot())) rec(no(x)) -> sent(rec(x)) rec(rec(x)) -> sent(rec(x)) rec(sent(x)) -> sent(rec(x)) rec(up(x)) -> up(rec(x)) sent(up(x)) -> up(sent(x)) top(no(up(x))) -> top(check(rec(x))) top(rec(up(x))) -> top(check(rec(x))) top(sent(up(x))) -> top(check(rec(x))) - Signature: {check/1,no/1,rec/1,sent/1,top/1} / {bot/0,up/1} - Obligation: runtime complexity wrt. defined symbols {check,no,rec,sent,top} and constructors {bot,up} + Applied Processor: Bounds {initialAutomaton = minimal, enrichment = match} + Details: The problem is match-bounded by 1. The enriched problem is compatible with follwoing automaton. bot_0() -> 2 bot_1() -> 4 check_0(2) -> 1 check_1(2) -> 3 no_0(2) -> 1 no_1(2) -> 3 rec_0(2) -> 1 rec_1(2) -> 3 sent_0(2) -> 1 sent_1(2) -> 3
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