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:
    {  function(iszero(), 0(), dummy, dummy2) -> true()
     , function(iszero(), s(x), dummy, dummy2) -> false()
     , function(p(), 0(), dummy, dummy2) -> 0()
     , function(p(), s(0()), dummy, dummy2) -> 0()
     , function(p(), s(s(x)), dummy, dummy2) ->
       s(function(p(), s(x), x, x))
     , function(plus(), dummy, x, y) ->
       function(if(), function(iszero(), x, x, x), x, y)
     , function(if(), true(), x, y) -> y
     , function(if(), false(), x, y) ->
       function(plus(),
                function(third(), x, y, y),
                function(p(), x, x, y),
                s(y))
     , function(third(), x, y, z) -> z}

Proof Output:    
  The input cannot be shown compatible