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Runti Compl Inner Rewri 22807 pair #381904389
details
property
value
status
complete
benchmark
#3.47.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
AG01
run statistics
property
value
solver
tct 2018-07-13
configuration
tct_rci
runtime (wallclock)
1.06116700172 seconds
cpu usage
4.392134887
max memory
6.7428352E7
stage attributes
key
value
output-size
2523
starexec-result
WORST_CASE(Omega(n^1),O(n^2))
output
/export/starexec/sandbox/solver/bin/starexec_run_tct_rci /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- WORST_CASE(Omega(n^1),O(n^2)) * Step 1: Sum WORST_CASE(Omega(n^1),O(n^2)) + Considered Problem: - Strict TRS: f(x,c(y)) -> f(x,s(f(y,y))) f(s(x),y) -> f(x,s(c(y))) - Signature: {f/2} / {c/1,s/1} - Obligation: innermost runtime complexity wrt. defined symbols {f} 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(x,c(y)) -> f(x,s(f(y,y))) f(s(x),y) -> f(x,s(c(y))) - Signature: {f/2} / {c/1,s/1} - Obligation: innermost runtime complexity wrt. defined symbols {f} and constructors {c,s} + Applied Processor: DecreasingLoops {bound = AnyLoop, narrow = 10} + Details: The system has following decreasing Loops: f(x,y){y -> c(y)} = f(x,c(y)) ->^+ f(x,s(f(y,y))) = C[f(y,y) = f(x,y){x -> y}] ** Step 1.b:1: Ara WORST_CASE(?,O(n^2)) + Considered Problem: - Strict TRS: f(x,c(y)) -> f(x,s(f(y,y))) f(s(x),y) -> f(x,s(c(y))) - Signature: {f/2} / {c/1,s/1} - Obligation: innermost runtime complexity wrt. defined symbols {f} and constructors {c,s} + Applied Processor: Ara {araHeuristics = NoHeuristics, minDegree = 1, maxDegree = 2, araTimeout = 5, araRuleShifting = Nothing} + Details: Signatures used: ---------------- c :: ["A"(15, 15)] -(15)-> "A"(0, 15) c :: ["A"(0, 0)] -(0)-> "A"(0, 0) f :: ["A"(15, 0) x "A"(0, 15)] -(5)-> "A"(12, 14) s :: ["A"(15, 0)] -(15)-> "A"(15, 0) s :: ["A"(0, 0)] -(0)-> "A"(0, 15) Cost-free Signatures used: -------------------------- Base Constructor Signatures used: --------------------------------- "c_A" :: ["A"(1, 0)] -(0)-> "A"(1, 0) "c_A" :: ["A"(1, 1)] -(1)-> "A"(0, 1) "s_A" :: ["A"(1, 0)] -(1)-> "A"(1, 0) "s_A" :: ["A"(0, 0)] -(0)-> "A"(0, 1) WORST_CASE(Omega(n^1),O(n^2))
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