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Deriv Compl Full Rewri 33144 pair #381922035
details
property
value
status
complete
benchmark
p266.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n029.star.cs.uiowa.edu
space
Rubio_04
run statistics
property
value
solver
tct 2018-07-13
configuration
tct_dc
runtime (wallclock)
1.24272179604 seconds
cpu usage
2.447858185
max memory
5.5701504E7
stage attributes
key
value
output-size
1715
starexec-result
WORST_CASE(?,O(n^1))
output
/export/starexec/sandbox2/solver/bin/starexec_run_tct_dc /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?,O(n^1)) * Step 1: Bounds WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: b(X) -> a(X) f(a(g(X))) -> b(X) f(f(X)) -> f(a(b(f(X)))) - Signature: {b/1,f/1} / {a/1,g/1} - Obligation: derivational complexity wrt. signature {a,b,f,g} + Applied Processor: Bounds {initialAutomaton = minimal, enrichment = match} + Details: The problem is match-bounded by 3. The enriched problem is compatible with follwoing automaton. a_0(1) -> 1 a_1(1) -> 1 a_1(3) -> 2 a_2(1) -> 1 a_2(1) -> 4 a_2(4) -> 3 a_2(6) -> 5 a_3(7) -> 6 b_0(1) -> 1 b_1(1) -> 1 b_1(1) -> 4 b_1(4) -> 3 b_2(7) -> 6 f_0(1) -> 1 f_1(1) -> 4 f_1(2) -> 1 f_1(2) -> 4 f_2(2) -> 7 f_2(5) -> 4 g_0(1) -> 1 * Step 2: EmptyProcessor WORST_CASE(?,O(1)) + Considered Problem: - Weak TRS: b(X) -> a(X) f(a(g(X))) -> b(X) f(f(X)) -> f(a(b(f(X)))) - Signature: {b/1,f/1} / {a/1,g/1} - Obligation: derivational complexity wrt. signature {a,b,f,g} + Applied Processor: EmptyProcessor + Details: The problem is already closed. The intended complexity is O(1). WORST_CASE(?,O(n^1))
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