Goal:
    G : t  HI : invariants  x : V.t  y : V.t
  ============================
   (match lsp x x with
    | Some 0 => true
    | _ => false
    end = match lsp x x with
          | Some 0 => true
          | _ => false
          end)


DEBUG:Going to execute:
let do_atom := solve
           [ trivial
           with eq_true
           | reflexivity
           | symmetry; trivial
           | contradiction
           | congruence ]
           in
           let rec do_ccl :=
            try do_atom; repeat (do_intro; try do_atom); try arith_congr;
             (solve [ split; do_ccl ])
           in
           (solve [ do_atom | use_hyps; do_ccl ]) ||
             fail "Cannot solve this goal"