MAYBE
Time: 0.001953
TRS:
 { cond2(true(), x) -> cond1(neq(x, 0()), div2 x),
  cond2(false(), x) -> cond1(neq(x, 0()), p x),
           even 0() -> true(),
         even s 0() -> false(),
         even s s x -> even x,
   cond1(true(), x) -> cond2(even x, x),
      neq(0(), 0()) -> false(),
      neq(0(), s x) -> true(),
      neq(s x, 0()) -> true(),
    neq(s x, s y()) -> neq(x, y()),
           div2 0() -> 0(),
         div2 s 0() -> 0(),
         div2 s s x -> s div2 x,
              p 0() -> 0(),
              p s x -> x}
 DP:
  DP:
   { cond2#(true(), x) -> cond1#(neq(x, 0()), div2 x),
     cond2#(true(), x) -> neq#(x, 0()),
     cond2#(true(), x) -> div2# x,
    cond2#(false(), x) -> cond1#(neq(x, 0()), p x),
    cond2#(false(), x) -> neq#(x, 0()),
    cond2#(false(), x) -> p# x,
           even# s s x -> even# x,
     cond1#(true(), x) -> cond2#(even x, x),
     cond1#(true(), x) -> even# x,
      neq#(s x, s y()) -> neq#(x, y()),
           div2# s s x -> div2# x}
  TRS:
  { cond2(true(), x) -> cond1(neq(x, 0()), div2 x),
   cond2(false(), x) -> cond1(neq(x, 0()), p x),
            even 0() -> true(),
          even s 0() -> false(),
          even s s x -> even x,
    cond1(true(), x) -> cond2(even x, x),
       neq(0(), 0()) -> false(),
       neq(0(), s x) -> true(),
       neq(s x, 0()) -> true(),
     neq(s x, s y()) -> neq(x, y()),
            div2 0() -> 0(),
          div2 s 0() -> 0(),
          div2 s s x -> s div2 x,
               p 0() -> 0(),
               p s x -> x}
  UR:
   {     even 0() -> true(),
       even s 0() -> false(),
       even s s x -> even x,
    neq(0(), 0()) -> false(),
    neq(s x, 0()) -> true(),
         div2 0() -> 0(),
       div2 s 0() -> 0(),
       div2 s s x -> s div2 x,
            p 0() -> 0(),
            p s x -> x,
          a(y, z) -> y,
          a(y, z) -> z}
   EDG:
    {(cond2#(true(), x) -> div2# x, div2# s s x -> div2# x)
     (cond1#(true(), x) -> even# x, even# s s x -> even# x)
     (cond2#(true(), x) -> neq#(x, 0()), neq#(s x, s y()) -> neq#(x, y()))
     (neq#(s x, s y()) -> neq#(x, y()), neq#(s x, s y()) -> neq#(x, y()))
     (cond1#(true(), x) -> cond2#(even x, x), cond2#(true(), x) -> cond1#(neq(x, 0()), div2 x))
     (cond1#(true(), x) -> cond2#(even x, x), cond2#(true(), x) -> neq#(x, 0()))
     (cond1#(true(), x) -> cond2#(even x, x), cond2#(true(), x) -> div2# x)
     (cond1#(true(), x) -> cond2#(even x, x), cond2#(false(), x) -> cond1#(neq(x, 0()), p x))
     (cond1#(true(), x) -> cond2#(even x, x), cond2#(false(), x) -> neq#(x, 0()))
     (cond1#(true(), x) -> cond2#(even x, x), cond2#(false(), x) -> p# x)
     (cond2#(false(), x) -> neq#(x, 0()), neq#(s x, s y()) -> neq#(x, y()))
     (div2# s s x -> div2# x, div2# s s x -> div2# x)
     (even# s s x -> even# x, even# s s x -> even# x)
     (cond2#(false(), x) -> cond1#(neq(x, 0()), p x), cond1#(true(), x) -> cond2#(even x, x))
     (cond2#(false(), x) -> cond1#(neq(x, 0()), p x), cond1#(true(), x) -> even# x)
     (cond2#(true(), x) -> cond1#(neq(x, 0()), div2 x), cond1#(true(), x) -> cond2#(even x, x))
     (cond2#(true(), x) -> cond1#(neq(x, 0()), div2 x), cond1#(true(), x) -> even# x)}
    STATUS:
     arrows: 0.859504
     SCCS (4):
      Scc:
       { cond2#(true(), x) -> cond1#(neq(x, 0()), div2 x),
        cond2#(false(), x) -> cond1#(neq(x, 0()), p x),
         cond1#(true(), x) -> cond2#(even x, x)}
      Scc:
       {even# s s x -> even# x}
      Scc:
       {div2# s s x -> div2# x}
      Scc:
       {neq#(s x, s y()) -> neq#(x, y())}
      
      SCC (3):
       Strict:
        { cond2#(true(), x) -> cond1#(neq(x, 0()), div2 x),
         cond2#(false(), x) -> cond1#(neq(x, 0()), p x),
          cond1#(true(), x) -> cond2#(even x, x)}
       Weak:
       { cond2(true(), x) -> cond1(neq(x, 0()), div2 x),
        cond2(false(), x) -> cond1(neq(x, 0()), p x),
                 even 0() -> true(),
               even s 0() -> false(),
               even s s x -> even x,
         cond1(true(), x) -> cond2(even x, x),
            neq(0(), 0()) -> false(),
            neq(0(), s x) -> true(),
            neq(s x, 0()) -> true(),
          neq(s x, s y()) -> neq(x, y()),
                 div2 0() -> 0(),
               div2 s 0() -> 0(),
               div2 s s x -> s div2 x,
                    p 0() -> 0(),
                    p s x -> x}
       Open
      
      
      
      SCC (1):
       Strict:
        {even# s s x -> even# x}
       Weak:
       { cond2(true(), x) -> cond1(neq(x, 0()), div2 x),
        cond2(false(), x) -> cond1(neq(x, 0()), p x),
                 even 0() -> true(),
               even s 0() -> false(),
               even s s x -> even x,
         cond1(true(), x) -> cond2(even x, x),
            neq(0(), 0()) -> false(),
            neq(0(), s x) -> true(),
            neq(s x, 0()) -> true(),
          neq(s x, s y()) -> neq(x, y()),
                 div2 0() -> 0(),
               div2 s 0() -> 0(),
               div2 s s x -> s div2 x,
                    p 0() -> 0(),
                    p s x -> x}
       Open
      
      SCC (1):
       Strict:
        {div2# s s x -> div2# x}
       Weak:
       { cond2(true(), x) -> cond1(neq(x, 0()), div2 x),
        cond2(false(), x) -> cond1(neq(x, 0()), p x),
                 even 0() -> true(),
               even s 0() -> false(),
               even s s x -> even x,
         cond1(true(), x) -> cond2(even x, x),
            neq(0(), 0()) -> false(),
            neq(0(), s x) -> true(),
            neq(s x, 0()) -> true(),
          neq(s x, s y()) -> neq(x, y()),
                 div2 0() -> 0(),
               div2 s 0() -> 0(),
               div2 s s x -> s div2 x,
                    p 0() -> 0(),
                    p s x -> x}
       Open
      
      SCC (1):
       Strict:
        {neq#(s x, s y()) -> neq#(x, y())}
       Weak:
       { cond2(true(), x) -> cond1(neq(x, 0()), div2 x),
        cond2(false(), x) -> cond1(neq(x, 0()), p x),
                 even 0() -> true(),
               even s 0() -> false(),
               even s s x -> even x,
         cond1(true(), x) -> cond2(even x, x),
            neq(0(), 0()) -> false(),
            neq(0(), s x) -> true(),
            neq(s x, 0()) -> true(),
          neq(s x, s y()) -> neq(x, y()),
                 div2 0() -> 0(),
               div2 s 0() -> 0(),
               div2 s s x -> s div2 x,
                    p 0() -> 0(),
                    p s x -> x}
       Open