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Runti Compl Inner Rewri 22807 pair #381905012
details
property
value
status
complete
benchmark
2.16.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n030.star.cs.uiowa.edu
space
SK90
run statistics
property
value
solver
tct 2018-07-13
configuration
tct_rci
runtime (wallclock)
0.94846200943 seconds
cpu usage
3.961659762
max memory
4.6485504E7
stage attributes
key
value
output-size
3161
starexec-result
WORST_CASE(Omega(n^1),O(n^2))
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^2)) * Step 1: Sum WORST_CASE(Omega(n^1),O(n^2)) + Considered Problem: - Strict TRS: +(x,0()) -> x +(x,s(y)) -> s(+(x,y)) f(0()) -> 1() f(s(x)) -> g(x,s(x)) g(0(),y) -> y g(s(x),y) -> g(x,+(y,s(x))) g(s(x),y) -> g(x,s(+(y,x))) - Signature: {+/2,f/1,g/2} / {0/0,1/0,s/1} - Obligation: innermost runtime complexity wrt. defined symbols {+,f,g} and constructors {0,1,s} + Applied Processor: Sum {left = someStrategy, right = someStrategy} + Details: () ** Step 1.a:1: DecreasingLoops WORST_CASE(Omega(n^1),?) + Considered Problem: - Strict TRS: +(x,0()) -> x +(x,s(y)) -> s(+(x,y)) f(0()) -> 1() f(s(x)) -> g(x,s(x)) g(0(),y) -> y g(s(x),y) -> g(x,+(y,s(x))) g(s(x),y) -> g(x,s(+(y,x))) - Signature: {+/2,f/1,g/2} / {0/0,1/0,s/1} - Obligation: innermost runtime complexity wrt. defined symbols {+,f,g} and constructors {0,1,s} + Applied Processor: DecreasingLoops {bound = AnyLoop, narrow = 10} + Details: The system has following decreasing Loops: +(x,y){y -> s(y)} = +(x,s(y)) ->^+ s(+(x,y)) = C[+(x,y) = +(x,y){}] ** Step 1.b:1: Ara WORST_CASE(?,O(n^2)) + Considered Problem: - Strict TRS: +(x,0()) -> x +(x,s(y)) -> s(+(x,y)) f(0()) -> 1() f(s(x)) -> g(x,s(x)) g(0(),y) -> y g(s(x),y) -> g(x,+(y,s(x))) g(s(x),y) -> g(x,s(+(y,x))) - Signature: {+/2,f/1,g/2} / {0/0,1/0,s/1} - Obligation: innermost runtime complexity wrt. defined symbols {+,f,g} and constructors {0,1,s} + Applied Processor: Ara {araHeuristics = Heuristics, minDegree = 1, maxDegree = 2, araTimeout = 3, araRuleShifting = Nothing} + Details: Signatures used: ---------------- + :: ["A"(0, 0) x "A"(1, 0)] -(1)-> "A"(0, 0) 0 :: [] -(0)-> "A"(1, 0) 0 :: [] -(0)-> "A"(2, 1) 0 :: [] -(0)-> "A"(3, 1) 1 :: [] -(0)-> "A"(0, 0) f :: ["A"(2, 1)] -(1)-> "A"(0, 0) g :: ["A"(3, 1) x "A"(0, 0)] -(1)-> "A"(0, 0) s :: ["A"(1, 0)] -(1)-> "A"(1, 0) s :: ["A"(3, 1)] -(2)-> "A"(2, 1) s :: ["A"(4, 1)] -(3)-> "A"(3, 1) s :: ["A"(0, 0)] -(0)-> "A"(0, 0) Cost-free Signatures used: -------------------------- Base Constructor Signatures used: --------------------------------- "0_A" :: [] -(0)-> "A"(0) "1_A" :: [] -(0)-> "A"(0) "s_A" :: ["A"(0)] -(0)-> "A"(0) WORST_CASE(Omega(n^1),O(n^2))
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