MAYBE

'Pop* with parameter subtitution (timeout of 60.0 seconds)'
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Answer:           MAYBE
Input Problem:    innermost runtime-complexity with respect to
  Rules:
    {  eq(0(), 0()) -> true()
     , eq(0(), s(x)) -> false()
     , eq(s(x), 0()) -> false()
     , eq(s(x), s(y)) -> eq(x, y)
     , or(true(), y) -> true()
     , or(false(), y) -> y
     , and(true(), y) -> y
     , and(false(), y) -> false()
     , size(empty()) -> 0()
     , size(edge(x, y, i)) -> s(size(i))
     , le(0(), y) -> true()
     , le(s(x), 0()) -> false()
     , le(s(x), s(y)) -> le(x, y)
     , reachable(x, y, i) -> reach(x, y, 0(), i, i)
     , reach(x, y, c, i, j) -> if1(eq(x, y), x, y, c, i, j)
     , if1(true(), x, y, c, i, j) -> true()
     , if1(false(), x, y, c, i, j) -> if2(le(c, size(j)), x, y, c, i, j)
     , if2(false(), x, y, c, i, j) -> false()
     , if2(true(), x, y, c, empty(), j) -> false()
     , if2(true(), x, y, c, edge(u, v, i), j) ->
       or(if2(true(), x, y, c, i, j),
          and(eq(x, u), reach(v, y, s(c), j, j)))}

Proof Output:    
  The input cannot be shown compatible