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Deriv Compl Full Rewri 33144 pair #381922109
details
property
value
status
complete
benchmark
jwtpa1.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n075.star.cs.uiowa.edu
space
Waldmann_06
run statistics
property
value
solver
tct 2018-07-13
configuration
tct_dc
runtime (wallclock)
24.9323470592 seconds
cpu usage
34.353639026
max memory
2.86113792E8
stage attributes
key
value
output-size
1803
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(f(a(),x),y) -> f(y,f(x,f(a(),f(h(a()),a())))) - 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() -> 4 a_1() -> 7 a_1() -> 8 a_2() -> 11 a_2() -> 14 a_2() -> 15 f_0(1,1) -> 1 f_1(1,2) -> 1 f_1(1,3) -> 2 f_1(2,2) -> 1 f_1(2,3) -> 2 f_1(3,2) -> 2 f_1(3,3) -> 2 f_1(4,5) -> 3 f_1(6,7) -> 5 f_1(9,2) -> 2 f_2(2,9) -> 2 f_2(3,9) -> 2 f_2(5,10) -> 9 f_2(9,9) -> 2 f_2(11,12) -> 10 f_2(13,14) -> 12 h_0(1) -> 1 h_1(8) -> 6 h_2(15) -> 13 * Step 2: EmptyProcessor WORST_CASE(?,O(1)) + Considered Problem: - Weak TRS: f(f(a(),x),y) -> f(y,f(x,f(a(),f(h(a()),a())))) - 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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