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Runti Compl Inner Rewri 22807 pair #381904518
details
property
value
status
complete
benchmark
test829.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n046.star.cs.uiowa.edu
space
Rubio_04
run statistics
property
value
solver
tct 2018-07-13
configuration
tct_rci
runtime (wallclock)
0.436007022858 seconds
cpu usage
1.8566383
max memory
3.995648E7
stage attributes
key
value
output-size
2514
starexec-result
WORST_CASE(Omega(n^1),O(n^1))
output
/export/starexec/sandbox2/solver/bin/starexec_run_tct_rci /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- WORST_CASE(Omega(n^1),O(n^1)) * Step 1: Sum WORST_CASE(Omega(n^1),O(n^1)) + Considered Problem: - Strict TRS: f(c(X,s(Y))) -> f(c(s(X),Y)) g(c(s(X),Y)) -> f(c(X,s(Y))) - Signature: {f/1,g/1} / {c/2,s/1} - Obligation: innermost runtime complexity wrt. defined symbols {f,g} and constructors {c,s} + Applied Processor: Sum {left = someStrategy, right = someStrategy} + Details: () ** Step 1.a:1: DecreasingLoops WORST_CASE(Omega(n^1),?) + Considered Problem: - Strict TRS: f(c(X,s(Y))) -> f(c(s(X),Y)) g(c(s(X),Y)) -> f(c(X,s(Y))) - Signature: {f/1,g/1} / {c/2,s/1} - Obligation: innermost runtime complexity wrt. defined symbols {f,g} and constructors {c,s} + Applied Processor: DecreasingLoops {bound = AnyLoop, narrow = 10} + Details: The system has following decreasing Loops: f(c(x,y)){y -> s(y)} = f(c(x,s(y))) ->^+ f(c(s(x),y)) = C[f(c(s(x),y)) = f(c(x,y)){x -> s(x)}] ** Step 1.b:1: Ara WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: f(c(X,s(Y))) -> f(c(s(X),Y)) g(c(s(X),Y)) -> f(c(X,s(Y))) - Signature: {f/1,g/1} / {c/2,s/1} - Obligation: innermost runtime complexity wrt. defined symbols {f,g} and constructors {c,s} + Applied Processor: Ara {araHeuristics = NoHeuristics, minDegree = 1, maxDegree = 2, araTimeout = 5, araRuleShifting = Nothing} + Details: Signatures used: ---------------- c :: ["A"(0) x "A"(3)] -(3)-> "A"(3) c :: ["A"(0) x "A"(7)] -(7)-> "A"(7) f :: ["A"(3)] -(2)-> "A"(14) g :: ["A"(7)] -(7)-> "A"(6) s :: ["A"(3)] -(3)-> "A"(3) s :: ["A"(0)] -(0)-> "A"(0) s :: ["A"(4)] -(4)-> "A"(4) Cost-free Signatures used: -------------------------- Base Constructor Signatures used: --------------------------------- "c_A" :: ["A"(0) x "A"(1)] -(1)-> "A"(1) "s_A" :: ["A"(1)] -(1)-> "A"(1) WORST_CASE(Omega(n^1),O(n^1))
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