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Runti Compl Inner Rewri 22807 pair #381904816
details
property
value
status
complete
benchmark
add.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n058.star.cs.uiowa.edu
space
Frederiksen_Glenstrup
run statistics
property
value
solver
tct 2018-07-13
configuration
tct_rci
runtime (wallclock)
0.27376294136 seconds
cpu usage
1.086828933
max memory
2.2552576E7
stage attributes
key
value
output-size
3514
starexec-result
WORST_CASE(Omega(n^1),O(n^1))
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^1)) * Step 1: Sum WORST_CASE(Omega(n^1),O(n^1)) + Considered Problem: - Strict TRS: add0(x,Nil()) -> x add0(x',Cons(x,xs)) -> add0(Cons(Cons(Nil(),Nil()),x'),xs) goal(x,y) -> add0(x,y) notEmpty(Cons(x,xs)) -> True() notEmpty(Nil()) -> False() - Signature: {add0/2,goal/2,notEmpty/1} / {Cons/2,False/0,Nil/0,True/0} - Obligation: innermost runtime complexity wrt. defined symbols {add0,goal,notEmpty} and constructors {Cons,False,Nil ,True} + Applied Processor: Sum {left = someStrategy, right = someStrategy} + Details: () ** Step 1.a:1: DecreasingLoops WORST_CASE(Omega(n^1),?) + Considered Problem: - Strict TRS: add0(x,Nil()) -> x add0(x',Cons(x,xs)) -> add0(Cons(Cons(Nil(),Nil()),x'),xs) goal(x,y) -> add0(x,y) notEmpty(Cons(x,xs)) -> True() notEmpty(Nil()) -> False() - Signature: {add0/2,goal/2,notEmpty/1} / {Cons/2,False/0,Nil/0,True/0} - Obligation: innermost runtime complexity wrt. defined symbols {add0,goal,notEmpty} and constructors {Cons,False,Nil ,True} + Applied Processor: DecreasingLoops {bound = AnyLoop, narrow = 10} + Details: The system has following decreasing Loops: add0(x,z){z -> Cons(y,z)} = add0(x,Cons(y,z)) ->^+ add0(Cons(Cons(Nil(),Nil()),x),z) = C[add0(Cons(Cons(Nil(),Nil()),x),z) = add0(x,z){x -> Cons(Cons(Nil(),Nil()),x)}] ** Step 1.b:1: Ara WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: add0(x,Nil()) -> x add0(x',Cons(x,xs)) -> add0(Cons(Cons(Nil(),Nil()),x'),xs) goal(x,y) -> add0(x,y) notEmpty(Cons(x,xs)) -> True() notEmpty(Nil()) -> False() - Signature: {add0/2,goal/2,notEmpty/1} / {Cons/2,False/0,Nil/0,True/0} - Obligation: innermost runtime complexity wrt. defined symbols {add0,goal,notEmpty} and constructors {Cons,False,Nil ,True} + Applied Processor: Ara {araHeuristics = NoHeuristics, minDegree = 1, maxDegree = 2, araTimeout = 5, araRuleShifting = Nothing} + Details: Signatures used: ---------------- Cons :: ["A"(0) x "A"(14)] -(14)-> "A"(14) Cons :: ["A"(0) x "A"(11)] -(11)-> "A"(11) Cons :: ["A"(0) x "A"(0)] -(0)-> "A"(0) False :: [] -(0)-> "A"(14) Nil :: [] -(0)-> "A"(14) Nil :: [] -(0)-> "A"(11) Nil :: [] -(0)-> "A"(0) True :: [] -(0)-> "A"(10) add0 :: ["A"(0) x "A"(14)] -(8)-> "A"(0) goal :: ["A"(4) x "A"(14)] -(13)-> "A"(0) notEmpty :: ["A"(11)] -(15)-> "A"(0) Cost-free Signatures used: -------------------------- Base Constructor Signatures used: --------------------------------- "Cons_A" :: ["A"(0) x "A"(1)] -(1)-> "A"(1) "False_A" :: [] -(0)-> "A"(1) "Nil_A" :: [] -(0)-> "A"(1) "True_A" :: [] -(0)-> "A"(1) WORST_CASE(Omega(n^1),O(n^1))
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