*** 1 Progress [(O(1),O(n^1))]  ***
    Considered Problem:
      Strict DP Rules:
        
      Strict TRS Rules:
        evenodd(x,0()) -> not(evenodd(x,s(0())))
        evenodd(0(),s(0())) -> false()
        evenodd(s(x),s(0())) -> evenodd(x,0())
        not(false()) -> true()
        not(true()) -> false()
      Weak DP Rules:
        
      Weak TRS Rules:
        
      Signature:
        {evenodd/2,not/1} / {0/0,false/0,s/1,true/0}
      Obligation:
        Full
        basic terms: {evenodd,not}/{0,false,s,true}
    Applied Processor:
      ToInnermost
    Proof:
      switch to innermost, as the system is overlay and right linear and does not contain weak rules
*** 1.1 Progress [(O(1),O(n^1))]  ***
    Considered Problem:
      Strict DP Rules:
        
      Strict TRS Rules:
        evenodd(x,0()) -> not(evenodd(x,s(0())))
        evenodd(0(),s(0())) -> false()
        evenodd(s(x),s(0())) -> evenodd(x,0())
        not(false()) -> true()
        not(true()) -> false()
      Weak DP Rules:
        
      Weak TRS Rules:
        
      Signature:
        {evenodd/2,not/1} / {0/0,false/0,s/1,true/0}
      Obligation:
        Innermost
        basic terms: {evenodd,not}/{0,false,s,true}
    Applied Processor:
      Bounds {initialAutomaton = minimal, enrichment = match}
    Proof:
      The problem is match-bounded by 3.
      The enriched problem is compatible with follwoing automaton.
        0_0() -> 2
        0_1() -> 5
        0_2() -> 8
        evenodd_0(2,2) -> 1
        evenodd_1(2,4) -> 3
        evenodd_1(2,5) -> 1
        evenodd_1(2,5) -> 3
        evenodd_1(2,5) -> 6
        evenodd_2(2,7) -> 6
        false_0() -> 2
        false_1() -> 1
        false_1() -> 3
        false_1() -> 6
        false_2() -> 1
        false_3() -> 1
        false_3() -> 3
        false_3() -> 6
        not_0(2) -> 1
        not_1(3) -> 1
        not_2(6) -> 1
        not_2(6) -> 3
        not_2(6) -> 6
        s_0(2) -> 2
        s_1(5) -> 4
        s_2(8) -> 7
        true_0() -> 2
        true_1() -> 1
        true_2() -> 1
        true_2() -> 3
        true_2() -> 6
        true_3() -> 1
        true_3() -> 3
        true_3() -> 6
*** 1.1.1 Progress [(O(1),O(1))]  ***
    Considered Problem:
      Strict DP Rules:
        
      Strict TRS Rules:
        
      Weak DP Rules:
        
      Weak TRS Rules:
        evenodd(x,0()) -> not(evenodd(x,s(0())))
        evenodd(0(),s(0())) -> false()
        evenodd(s(x),s(0())) -> evenodd(x,0())
        not(false()) -> true()
        not(true()) -> false()
      Signature:
        {evenodd/2,not/1} / {0/0,false/0,s/1,true/0}
      Obligation:
        Innermost
        basic terms: {evenodd,not}/{0,false,s,true}
    Applied Processor:
      EmptyProcessor
    Proof:
      The problem is already closed. The intended complexity is O(1).