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Deriv Compl Full Rewri 33144 pair #381922198
details
property
value
status
complete
benchmark
07.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n045.star.cs.uiowa.edu
space
Der95
run statistics
property
value
solver
tct 2018-07-13
configuration
tct_dc
runtime (wallclock)
99.1936850548 seconds
cpu usage
234.782457785
max memory
1.02453248E8
stage attributes
key
value
output-size
3899
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: b(r(x)) -> r(b(x)) b(w(x)) -> w(b(x)) w(r(x)) -> r(w(x)) - Signature: {b/1,w/1} / {r/1} - Obligation: derivational complexity wrt. signature {b,r,w} + 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(b) = [1 0] x1 + [68] [0 1] [0] p(r) = [1 0] x1 + [0] [0 1] [1] p(w) = [1 2] x1 + [4] [0 1] [0] Following rules are strictly oriented: w(r(x)) = [1 2] x + [6] [0 1] [1] > [1 2] x + [4] [0 1] [1] = r(w(x)) Following rules are (at-least) weakly oriented: b(r(x)) = [1 0] x + [68] [0 1] [1] >= [1 0] x + [68] [0 1] [1] = r(b(x)) b(w(x)) = [1 2] x + [72] [0 1] [0] >= [1 2] x + [72] [0 1] [0] = w(b(x)) * Step 2: NaturalMI WORST_CASE(?,O(n^2)) + Considered Problem: - Strict TRS: b(r(x)) -> r(b(x)) b(w(x)) -> w(b(x)) - Weak TRS: w(r(x)) -> r(w(x)) - Signature: {b/1,w/1} / {r/1} - Obligation: derivational complexity wrt. signature {b,r,w} + 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(b) = [1 48] x1 + [7] [0 1] [1] p(r) = [1 0] x1 + [164] [0 1] [2] p(w) = [1 40] x1 + [140] [0 1] [8] Following rules are strictly oriented: b(r(x)) = [1 48] x + [267] [0 1] [3] > [1 48] x + [171] [0 1] [3] = r(b(x)) b(w(x)) = [1 88] x + [531] [0 1] [9] > [1 88] x + [187] [0 1] [9] = w(b(x)) Following rules are (at-least) weakly oriented: w(r(x)) = [1 40] x + [384] [0 1] [10] >= [1 40] x + [304] [0 1] [10] = r(w(x))
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