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Runti Compl Full Rewri 10127 pair #381903261
details
property
value
status
complete
benchmark
Ex1_2_Luc02c_Z.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n078.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
tct 2018-07-13
configuration
tct_rc
runtime (wallclock)
0.577495098114 seconds
cpu usage
2.41894984
max memory
5.0806784E7
stage attributes
key
value
output-size
7649
starexec-result
WORST_CASE(?,O(n^1))
output
/export/starexec/sandbox/solver/bin/starexec_run_tct_rc /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?,O(n^1)) * Step 1: Sum WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: 2nd(cons(X,n__cons(Y,Z))) -> activate(Y) activate(X) -> X activate(n__cons(X1,X2)) -> cons(X1,X2) activate(n__from(X)) -> from(X) cons(X1,X2) -> n__cons(X1,X2) from(X) -> cons(X,n__from(s(X))) from(X) -> n__from(X) - Signature: {2nd/1,activate/1,cons/2,from/1} / {n__cons/2,n__from/1,s/1} - Obligation: runtime complexity wrt. defined symbols {2nd,activate,cons,from} and constructors {n__cons,n__from,s} + Applied Processor: Sum {left = someStrategy, right = someStrategy} + Details: () * Step 2: NaturalMI WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: 2nd(cons(X,n__cons(Y,Z))) -> activate(Y) activate(X) -> X activate(n__cons(X1,X2)) -> cons(X1,X2) activate(n__from(X)) -> from(X) cons(X1,X2) -> n__cons(X1,X2) from(X) -> cons(X,n__from(s(X))) from(X) -> n__from(X) - Signature: {2nd/1,activate/1,cons/2,from/1} / {n__cons/2,n__from/1,s/1} - Obligation: runtime complexity wrt. defined symbols {2nd,activate,cons,from} and constructors {n__cons,n__from,s} + Applied Processor: NaturalMI {miDimension = 1, miDegree = 1, miKind = Algebraic, uargs = UArgs, urules = URules, selector = Just any strict-rules} + Details: We apply a matrix interpretation of kind constructor based matrix interpretation: The following argument positions are considered usable: none Following symbols are considered usable: all TcT has computed the following interpretation: p(2nd) = [4] x1 + [8] p(activate) = [4] x1 + [6] p(cons) = [4] x1 + [1] x2 + [2] p(from) = [4] x1 + [4] p(n__cons) = [1] x1 + [1] x2 + [2] p(n__from) = [1] x1 + [0] p(s) = [0] Following rules are strictly oriented: 2nd(cons(X,n__cons(Y,Z))) = [16] X + [4] Y + [4] Z + [24] > [4] Y + [6] = activate(Y) activate(X) = [4] X + [6] > [1] X + [0] = X activate(n__cons(X1,X2)) = [4] X1 + [4] X2 + [14] > [4] X1 + [1] X2 + [2] = cons(X1,X2) activate(n__from(X)) = [4] X + [6] > [4] X + [4] = from(X) from(X) = [4] X + [4] > [4] X + [2] = cons(X,n__from(s(X))) from(X) = [4] X + [4] > [1] X + [0] = n__from(X) Following rules are (at-least) weakly oriented: cons(X1,X2) = [4] X1 + [1] X2 + [2] >= [1] X1 + [1] X2 + [2] = n__cons(X1,X2) * Step 3: NaturalMI WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: cons(X1,X2) -> n__cons(X1,X2) - Weak TRS: 2nd(cons(X,n__cons(Y,Z))) -> activate(Y) activate(X) -> X activate(n__cons(X1,X2)) -> cons(X1,X2) activate(n__from(X)) -> from(X) from(X) -> cons(X,n__from(s(X))) from(X) -> n__from(X) - Signature:
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