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Deriv Compl Full Rewri 33144 pair #381921941
details
property
value
status
complete
benchmark
jw44.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n052.star.cs.uiowa.edu
space
Zantema_05
run statistics
property
value
solver
tct 2018-07-13
configuration
tct_dc
runtime (wallclock)
31.7242479324 seconds
cpu usage
101.842062283
max memory
1.133568E8
stage attributes
key
value
output-size
1955
starexec-result
WORST_CASE(?,O(n^2))
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^2)) * Step 1: NaturalMI WORST_CASE(?,O(n^2)) + Considered Problem: - Strict TRS: f(a(),f(f(a(),x),a())) -> f(f(a(),f(a(),x)),a()) - Signature: {f/2} / {a/0} - Obligation: derivational complexity wrt. signature {a,f} + Applied Processor: NaturalMI {miDimension = 2, miDegree = 2, miKind = Algebraic, uargs = NoUArgs, urules = NoURules, selector = Just any strict-rules} + Details: We apply a matrix interpretation of kind triangular matrix interpretation: Following symbols are considered usable: all TcT has computed the following interpretation: p(a) = [0] [0] p(f) = [1 0] x1 + [1 1] x2 + [0] [0 1] [0 1] [2] Following rules are strictly oriented: f(a(),f(f(a(),x),a())) = [1 2] x + [4] [0 1] [6] > [1 2] x + [2] [0 1] [6] = f(f(a(),f(a(),x)),a()) Following rules are (at-least) weakly oriented: * Step 2: EmptyProcessor WORST_CASE(?,O(1)) + Considered Problem: - Weak TRS: f(a(),f(f(a(),x),a())) -> f(f(a(),f(a(),x)),a()) - Signature: {f/2} / {a/0} - Obligation: derivational complexity wrt. signature {a,f} + Applied Processor: EmptyProcessor + Details: The problem is already closed. The intended complexity is O(1). WORST_CASE(?,O(n^2))
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