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Deriv Compl Full Rewri 33144 pair #381922212
details
property
value
status
complete
benchmark
jwcime2.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n051.star.cs.uiowa.edu
space
Waldmann_06
run statistics
property
value
solver
tct 2018-07-13
configuration
tct_dc
runtime (wallclock)
32.4850029945 seconds
cpu usage
52.217055737
max memory
2.89538048E8
stage attributes
key
value
output-size
1707
starexec-result
WORST_CASE(?,O(n^1))
output
/export/starexec/sandbox/solver/bin/starexec_run_tct_dc /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?,O(n^1)) * Step 1: Bounds WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: f(x,f(y,a())) -> f(f(f(f(a(),a()),y),h(a())),x) - Signature: {f/2} / {a/0,h/1} - Obligation: derivational complexity wrt. signature {a,f,h} + Applied Processor: Bounds {initialAutomaton = minimal, enrichment = match} + Details: The problem is match-bounded by 2. The enriched problem is compatible with follwoing automaton. a_0() -> 1 a_1() -> 6 a_1() -> 7 a_1() -> 8 a_2() -> 13 a_2() -> 14 a_2() -> 15 f_0(1,1) -> 1 f_1(2,1) -> 1 f_1(2,2) -> 1 f_1(2,5) -> 3 f_1(3,4) -> 2 f_1(5,1) -> 3 f_1(5,2) -> 3 f_1(6,7) -> 5 f_2(9,2) -> 3 f_2(10,11) -> 9 f_2(12,6) -> 10 f_2(13,14) -> 12 h_0(1) -> 1 h_1(8) -> 4 h_2(15) -> 11 * Step 2: EmptyProcessor WORST_CASE(?,O(1)) + Considered Problem: - Weak TRS: f(x,f(y,a())) -> f(f(f(f(a(),a()),y),h(a())),x) - Signature: {f/2} / {a/0,h/1} - Obligation: derivational complexity wrt. signature {a,f,h} + Applied Processor: EmptyProcessor + Details: The problem is already closed. The intended complexity is O(1). WORST_CASE(?,O(n^1))
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