*** 1 Progress [(O(1),O(n^1))]  ***
    Considered Problem:
      Strict DP Rules:
        
      Strict TRS Rules:
        f(c(s(x),y)) -> f(c(x,s(y)))
        g(c(x,s(y))) -> g(c(s(x),y))
        g(s(f(x))) -> g(f(x))
      Weak DP Rules:
        
      Weak TRS Rules:
        
      Signature:
        {f/1,g/1} / {c/2,s/1}
      Obligation:
        Innermost
        basic terms: {f,g}/{c,s}
    Applied Processor:
      Bounds {initialAutomaton = perSymbol, enrichment = match}
    Proof:
      The problem is match-bounded by 1.
      The enriched problem is compatible with follwoing automaton.
        c_0(1,1) -> 1
        c_0(1,4) -> 1
        c_0(4,1) -> 1
        c_0(4,4) -> 1
        c_1(1,6) -> 5
        c_1(4,6) -> 5
        c_1(6,1) -> 7
        c_1(6,4) -> 7
        f_0(1) -> 2
        f_0(4) -> 2
        f_1(5) -> 2
        g_0(1) -> 3
        g_0(4) -> 3
        g_1(7) -> 3
        s_0(1) -> 4
        s_0(4) -> 4
        s_1(1) -> 6
        s_1(4) -> 6
        s_1(6) -> 6
*** 1.1 Progress [(O(1),O(1))]  ***
    Considered Problem:
      Strict DP Rules:
        
      Strict TRS Rules:
        
      Weak DP Rules:
        
      Weak TRS Rules:
        f(c(s(x),y)) -> f(c(x,s(y)))
        g(c(x,s(y))) -> g(c(s(x),y))
        g(s(f(x))) -> g(f(x))
      Signature:
        {f/1,g/1} / {c/2,s/1}
      Obligation:
        Innermost
        basic terms: {f,g}/{c,s}
    Applied Processor:
      EmptyProcessor
    Proof:
      The problem is already closed. The intended complexity is O(1).