MAYBE We are left with following problem, upon which TcT provides the certificate MAYBE. Strict Trs: { 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 } Obligation: innermost runtime complexity Answer: MAYBE The input cannot be shown compatible Arrrr..