BinaryColumnCarryCount(p,a,b,e)

exists mkm_lb_secondwave mkm_lc_secondwave mkm_rb_secondwave mkm_rc_secondwave mkm_tb_secondwave mkm_tc_secondwave mkm_cb_secondwave mkm_cc_secondwave. (forall bls_index_mkm_secondwave_left. (exists bls_gap_mkm_secondwave_left_bound. bls_gap_mkm_secondwave_left_bound + S (bls_index_mkm_secondwave_left) = (a + b)) -> exists bls_power_mkm_secondwave_left bls_quotient_mkm_secondwave_left bls_remainder_mkm_secondwave_left. ((exists bpvi_b_bls_mkm_secondwave_left_power bpvi_c_bls_mkm_secondwave_left_power. ((forall bpvi_i_bls_mkm_secondwave_left_power. (exists bpvi_repeat_gap_bls_mkm_secondwave_left_power. bpvi_repeat_gap_bls_mkm_secondwave_left_power + S bpvi_i_bls_mkm_secondwave_left_power = S bls_index_mkm_secondwave_left) -> (((exists bpvi_h_bls_mkm_secondwave_left_power_repeat. bpvi_h_bls_mkm_secondwave_left_power_repeat + S (p) = S ((S (bpvi_i_bls_mkm_secondwave_left_power)) * bpvi_c_bls_mkm_secondwave_left_power)) /\ exists bpvi_q_bls_mkm_secondwave_left_power_repeat. bpvi_b_bls_mkm_secondwave_left_power = bpvi_q_bls_mkm_secondwave_left_power_repeat * S ((S (bpvi_i_bls_mkm_secondwave_left_power)) * bpvi_c_bls_mkm_secondwave_left_power) + (p)))) /\ (exists bpvi_u_bls_mkm_secondwave_left_power bpvi_v_bls_mkm_secondwave_left_power. ((((exists bpvi_h_bls_mkm_secondwave_left_power_start. bpvi_h_bls_mkm_secondwave_left_power_start + S (1) = S ((S (0)) * bpvi_v_bls_mkm_secondwave_left_power)) /\ exists bpvi_q_bls_mkm_secondwave_left_power_start. bpvi_u_bls_mkm_secondwave_left_power = bpvi_q_bls_mkm_secondwave_left_power_start * S ((S (0)) * bpvi_v_bls_mkm_secondwave_left_power) + (1))) /\ ((((exists bpvi_h_bls_mkm_secondwave_left_power_terminal. bpvi_h_bls_mkm_secondwave_left_power_terminal + S (bls_power_mkm_secondwave_left) = S ((S (S bls_index_mkm_secondwave_left)) * bpvi_v_bls_mkm_secondwave_left_power)) /\ exists bpvi_q_bls_mkm_secondwave_left_power_terminal. bpvi_u_bls_mkm_secondwave_left_power = bpvi_q_bls_mkm_secondwave_left_power_terminal * S ((S (S bls_index_mkm_secondwave_left)) * bpvi_v_bls_mkm_secondwave_left_power) + (bls_power_mkm_secondwave_left))) /\ forall bpvi_j_bls_mkm_secondwave_left_power. (exists bpvi_product_gap_bls_mkm_secondwave_left_power. bpvi_product_gap_bls_mkm_secondwave_left_power + S bpvi_j_bls_mkm_secondwave_left_power = S bls_index_mkm_secondwave_left) -> exists bpvi_factor_bls_mkm_secondwave_left_power bpvi_partial_bls_mkm_secondwave_left_power bpvi_successor_bls_mkm_secondwave_left_power. ((((exists bpvi_h_bls_mkm_secondwave_left_power_factor. bpvi_h_bls_mkm_secondwave_left_power_factor + S (bpvi_factor_bls_mkm_secondwave_left_power) = S ((S (bpvi_j_bls_mkm_secondwave_left_power)) * bpvi_c_bls_mkm_secondwave_left_power)) /\ exists bpvi_q_bls_mkm_secondwave_left_power_factor. bpvi_b_bls_mkm_secondwave_left_power = bpvi_q_bls_mkm_secondwave_left_power_factor * S ((S (bpvi_j_bls_mkm_secondwave_left_power)) * bpvi_c_bls_mkm_secondwave_left_power) + (bpvi_factor_bls_mkm_secondwave_left_power))) /\ ((((exists bpvi_h_bls_mkm_secondwave_left_power_partial. bpvi_h_bls_mkm_secondwave_left_power_partial + S (bpvi_partial_bls_mkm_secondwave_left_power) = S ((S (bpvi_j_bls_mkm_secondwave_left_power)) * bpvi_v_bls_mkm_secondwave_left_power)) /\ exists bpvi_q_bls_mkm_secondwave_left_power_partial. bpvi_u_bls_mkm_secondwave_left_power = bpvi_q_bls_mkm_secondwave_left_power_partial * S ((S (bpvi_j_bls_mkm_secondwave_left_power)) * bpvi_v_bls_mkm_secondwave_left_power) + (bpvi_partial_bls_mkm_secondwave_left_power))) /\ ((((exists bpvi_h_bls_mkm_secondwave_left_power_successor. bpvi_h_bls_mkm_secondwave_left_power_successor + S (bpvi_successor_bls_mkm_secondwave_left_power) = S ((S (S bpvi_j_bls_mkm_secondwave_left_power)) * bpvi_v_bls_mkm_secondwave_left_power)) /\ exists bpvi_q_bls_mkm_secondwave_left_power_successor. bpvi_u_bls_mkm_secondwave_left_power = bpvi_q_bls_mkm_secondwave_left_power_successor * S ((S (S bpvi_j_bls_mkm_secondwave_left_power)) * bpvi_v_bls_mkm_secondwave_left_power) + (bpvi_successor_bls_mkm_secondwave_left_power))) /\ bpvi_successor_bls_mkm_secondwave_left_power = bpvi_partial_bls_mkm_secondwave_left_power * bpvi_factor_bls_mkm_secondwave_left_power)))))))) /\ ((((exists ff_h_bls_mkm_secondwave_left_quotient_entry. ff_h_bls_mkm_secondwave_left_quotient_entry + S (bls_quotient_mkm_secondwave_left) = S ((S (bls_index_mkm_secondwave_left)) * mkm_lc_secondwave)) /\ exists ff_q_bls_mkm_secondwave_left_quotient_entry. mkm_lb_secondwave = ff_q_bls_mkm_secondwave_left_quotient_entry * S ((S (bls_index_mkm_secondwave_left)) * mkm_lc_secondwave) + (bls_quotient_mkm_secondwave_left))) /\ ((a = bls_power_mkm_secondwave_left * bls_quotient_mkm_secondwave_left + bls_remainder_mkm_secondwave_left /\ exists bls_remainder_gap_mkm_secondwave_left_division. bls_remainder_gap_mkm_secondwave_left_division + S (bls_remainder_mkm_secondwave_left) = bls_power_mkm_secondwave_left))))) /\ ((forall bls_index_mkm_secondwave_right. (exists bls_gap_mkm_secondwave_right_bound. bls_gap_mkm_secondwave_right_bound + S (bls_index_mkm_secondwave_right) = (a + b)) -> exists bls_power_mkm_secondwave_right bls_quotient_mkm_secondwave_right bls_remainder_mkm_secondwave_right. ((exists bpvi_b_bls_mkm_secondwave_right_power bpvi_c_bls_mkm_secondwave_right_power. ((forall bpvi_i_bls_mkm_secondwave_right_power. (exists bpvi_repeat_gap_bls_mkm_secondwave_right_power. bpvi_repeat_gap_bls_mkm_secondwave_right_power + S bpvi_i_bls_mkm_secondwave_right_power = S bls_index_mkm_secondwave_right) -> (((exists bpvi_h_bls_mkm_secondwave_right_power_repeat. bpvi_h_bls_mkm_secondwave_right_power_repeat + S (p) = S ((S (bpvi_i_bls_mkm_secondwave_right_power)) * bpvi_c_bls_mkm_secondwave_right_power)) /\ exists bpvi_q_bls_mkm_secondwave_right_power_repeat. bpvi_b_bls_mkm_secondwave_right_power = bpvi_q_bls_mkm_secondwave_right_power_repeat * S ((S (bpvi_i_bls_mkm_secondwave_right_power)) * bpvi_c_bls_mkm_secondwave_right_power) + (p)))) /\ (exists bpvi_u_bls_mkm_secondwave_right_power bpvi_v_bls_mkm_secondwave_right_power. ((((exists bpvi_h_bls_mkm_secondwave_right_power_start. bpvi_h_bls_mkm_secondwave_right_power_start + S (1) = S ((S (0)) * bpvi_v_bls_mkm_secondwave_right_power)) /\ exists bpvi_q_bls_mkm_secondwave_right_power_start. bpvi_u_bls_mkm_secondwave_right_power = bpvi_q_bls_mkm_secondwave_right_power_start * S ((S (0)) * bpvi_v_bls_mkm_secondwave_right_power) + (1))) /\ ((((exists bpvi_h_bls_mkm_secondwave_right_power_terminal. bpvi_h_bls_mkm_secondwave_right_power_terminal + S (bls_power_mkm_secondwave_right) = S ((S (S bls_index_mkm_secondwave_right)) * bpvi_v_bls_mkm_secondwave_right_power)) /\ exists bpvi_q_bls_mkm_secondwave_right_power_terminal. bpvi_u_bls_mkm_secondwave_right_power = bpvi_q_bls_mkm_secondwave_right_power_terminal * S ((S (S bls_index_mkm_secondwave_right)) * bpvi_v_bls_mkm_secondwave_right_power) + (bls_power_mkm_secondwave_right))) /\ forall bpvi_j_bls_mkm_secondwave_right_power. (exists bpvi_product_gap_bls_mkm_secondwave_right_power. bpvi_product_gap_bls_mkm_secondwave_right_power + S bpvi_j_bls_mkm_secondwave_right_power = S bls_index_mkm_secondwave_right) -> exists bpvi_factor_bls_mkm_secondwave_right_power bpvi_partial_bls_mkm_secondwave_right_power bpvi_successor_bls_mkm_secondwave_right_power. ((((exists bpvi_h_bls_mkm_secondwave_right_power_factor. bpvi_h_bls_mkm_secondwave_right_power_factor + S (bpvi_factor_bls_mkm_secondwave_right_power) = S ((S (bpvi_j_bls_mkm_secondwave_right_power)) * bpvi_c_bls_mkm_secondwave_right_power)) /\ exists bpvi_q_bls_mkm_secondwave_right_power_factor. bpvi_b_bls_mkm_secondwave_right_power = bpvi_q_bls_mkm_secondwave_right_power_factor * S ((S (bpvi_j_bls_mkm_secondwave_right_power)) * bpvi_c_bls_mkm_secondwave_right_power) + (bpvi_factor_bls_mkm_secondwave_right_power))) /\ ((((exists bpvi_h_bls_mkm_secondwave_right_power_partial. bpvi_h_bls_mkm_secondwave_right_power_partial + S (bpvi_partial_bls_mkm_secondwave_right_power) = S ((S (bpvi_j_bls_mkm_secondwave_right_power)) * bpvi_v_bls_mkm_secondwave_right_power)) /\ exists bpvi_q_bls_mkm_secondwave_right_power_partial. bpvi_u_bls_mkm_secondwave_right_power = bpvi_q_bls_mkm_secondwave_right_power_partial * S ((S (bpvi_j_bls_mkm_secondwave_right_power)) * bpvi_v_bls_mkm_secondwave_right_power) + (bpvi_partial_bls_mkm_secondwave_right_power))) /\ ((((exists bpvi_h_bls_mkm_secondwave_right_power_successor. bpvi_h_bls_mkm_secondwave_right_power_successor + S (bpvi_successor_bls_mkm_secondwave_right_power) = S ((S (S bpvi_j_bls_mkm_secondwave_right_power)) * bpvi_v_bls_mkm_secondwave_right_power)) /\ exists bpvi_q_bls_mkm_secondwave_right_power_successor. bpvi_u_bls_mkm_secondwave_right_power = bpvi_q_bls_mkm_secondwave_right_power_successor * S ((S (S bpvi_j_bls_mkm_secondwave_right_power)) * bpvi_v_bls_mkm_secondwave_right_power) + (bpvi_successor_bls_mkm_secondwave_right_power))) /\ bpvi_successor_bls_mkm_secondwave_right_power = bpvi_partial_bls_mkm_secondwave_right_power * bpvi_factor_bls_mkm_secondwave_right_power)))))))) /\ ((((exists ff_h_bls_mkm_secondwave_right_quotient_entry. ff_h_bls_mkm_secondwave_right_quotient_entry + S (bls_quotient_mkm_secondwave_right) = S ((S (bls_index_mkm_secondwave_right)) * mkm_rc_secondwave)) /\ exists ff_q_bls_mkm_secondwave_right_quotient_entry. mkm_rb_secondwave = ff_q_bls_mkm_secondwave_right_quotient_entry * S ((S (bls_index_mkm_secondwave_right)) * mkm_rc_secondwave) + (bls_quotient_mkm_secondwave_right))) /\ ((b = bls_power_mkm_secondwave_right * bls_quotient_mkm_secondwave_right + bls_remainder_mkm_secondwave_right /\ exists bls_remainder_gap_mkm_secondwave_right_division. bls_remainder_gap_mkm_secondwave_right_division + S (bls_remainder_mkm_secondwave_right) = bls_power_mkm_secondwave_right))))) /\ ((forall bls_index_mkm_secondwave_total. (exists bls_gap_mkm_secondwave_total_bound. bls_gap_mkm_secondwave_total_bound + S (bls_index_mkm_secondwave_total) = (a + b)) -> exists bls_power_mkm_secondwave_total bls_quotient_mkm_secondwave_total bls_remainder_mkm_secondwave_total. ((exists bpvi_b_bls_mkm_secondwave_total_power bpvi_c_bls_mkm_secondwave_total_power. ((forall bpvi_i_bls_mkm_secondwave_total_power. (exists bpvi_repeat_gap_bls_mkm_secondwave_total_power. bpvi_repeat_gap_bls_mkm_secondwave_total_power + S bpvi_i_bls_mkm_secondwave_total_power = S bls_index_mkm_secondwave_total) -> (((exists bpvi_h_bls_mkm_secondwave_total_power_repeat. bpvi_h_bls_mkm_secondwave_total_power_repeat + S (p) = S ((S (bpvi_i_bls_mkm_secondwave_total_power)) * bpvi_c_bls_mkm_secondwave_total_power)) /\ exists bpvi_q_bls_mkm_secondwave_total_power_repeat. bpvi_b_bls_mkm_secondwave_total_power = bpvi_q_bls_mkm_secondwave_total_power_repeat * S ((S (bpvi_i_bls_mkm_secondwave_total_power)) * bpvi_c_bls_mkm_secondwave_total_power) + (p)))) /\ (exists bpvi_u_bls_mkm_secondwave_total_power bpvi_v_bls_mkm_secondwave_total_power. ((((exists bpvi_h_bls_mkm_secondwave_total_power_start. bpvi_h_bls_mkm_secondwave_total_power_start + S (1) = S ((S (0)) * bpvi_v_bls_mkm_secondwave_total_power)) /\ exists bpvi_q_bls_mkm_secondwave_total_power_start. bpvi_u_bls_mkm_secondwave_total_power = bpvi_q_bls_mkm_secondwave_total_power_start * S ((S (0)) * bpvi_v_bls_mkm_secondwave_total_power) + (1))) /\ ((((exists bpvi_h_bls_mkm_secondwave_total_power_terminal. bpvi_h_bls_mkm_secondwave_total_power_terminal + S (bls_power_mkm_secondwave_total) = S ((S (S bls_index_mkm_secondwave_total)) * bpvi_v_bls_mkm_secondwave_total_power)) /\ exists bpvi_q_bls_mkm_secondwave_total_power_terminal. bpvi_u_bls_mkm_secondwave_total_power = bpvi_q_bls_mkm_secondwave_total_power_terminal * S ((S (S bls_index_mkm_secondwave_total)) * bpvi_v_bls_mkm_secondwave_total_power) + (bls_power_mkm_secondwave_total))) /\ forall bpvi_j_bls_mkm_secondwave_total_power. (exists bpvi_product_gap_bls_mkm_secondwave_total_power. bpvi_product_gap_bls_mkm_secondwave_total_power + S bpvi_j_bls_mkm_secondwave_total_power = S bls_index_mkm_secondwave_total) -> exists bpvi_factor_bls_mkm_secondwave_total_power bpvi_partial_bls_mkm_secondwave_total_power bpvi_successor_bls_mkm_secondwave_total_power. ((((exists bpvi_h_bls_mkm_secondwave_total_power_factor. bpvi_h_bls_mkm_secondwave_total_power_factor + S (bpvi_factor_bls_mkm_secondwave_total_power) = S ((S (bpvi_j_bls_mkm_secondwave_total_power)) * bpvi_c_bls_mkm_secondwave_total_power)) /\ exists bpvi_q_bls_mkm_secondwave_total_power_factor. bpvi_b_bls_mkm_secondwave_total_power = bpvi_q_bls_mkm_secondwave_total_power_factor * S ((S (bpvi_j_bls_mkm_secondwave_total_power)) * bpvi_c_bls_mkm_secondwave_total_power) + (bpvi_factor_bls_mkm_secondwave_total_power))) /\ ((((exists bpvi_h_bls_mkm_secondwave_total_power_partial. bpvi_h_bls_mkm_secondwave_total_power_partial + S (bpvi_partial_bls_mkm_secondwave_total_power) = S ((S (bpvi_j_bls_mkm_secondwave_total_power)) * bpvi_v_bls_mkm_secondwave_total_power)) /\ exists bpvi_q_bls_mkm_secondwave_total_power_partial. bpvi_u_bls_mkm_secondwave_total_power = bpvi_q_bls_mkm_secondwave_total_power_partial * S ((S (bpvi_j_bls_mkm_secondwave_total_power)) * bpvi_v_bls_mkm_secondwave_total_power) + (bpvi_partial_bls_mkm_secondwave_total_power))) /\ ((((exists bpvi_h_bls_mkm_secondwave_total_power_successor. bpvi_h_bls_mkm_secondwave_total_power_successor + S (bpvi_successor_bls_mkm_secondwave_total_power) = S ((S (S bpvi_j_bls_mkm_secondwave_total_power)) * bpvi_v_bls_mkm_secondwave_total_power)) /\ exists bpvi_q_bls_mkm_secondwave_total_power_successor. bpvi_u_bls_mkm_secondwave_total_power = bpvi_q_bls_mkm_secondwave_total_power_successor * S ((S (S bpvi_j_bls_mkm_secondwave_total_power)) * bpvi_v_bls_mkm_secondwave_total_power) + (bpvi_successor_bls_mkm_secondwave_total_power))) /\ bpvi_successor_bls_mkm_secondwave_total_power = bpvi_partial_bls_mkm_secondwave_total_power * bpvi_factor_bls_mkm_secondwave_total_power)))))))) /\ ((((exists ff_h_bls_mkm_secondwave_total_quotient_entry. ff_h_bls_mkm_secondwave_total_quotient_entry + S (bls_quotient_mkm_secondwave_total) = S ((S (bls_index_mkm_secondwave_total)) * mkm_tc_secondwave)) /\ exists ff_q_bls_mkm_secondwave_total_quotient_entry. mkm_tb_secondwave = ff_q_bls_mkm_secondwave_total_quotient_entry * S ((S (bls_index_mkm_secondwave_total)) * mkm_tc_secondwave) + (bls_quotient_mkm_secondwave_total))) /\ ((a + b = bls_power_mkm_secondwave_total * bls_quotient_mkm_secondwave_total + bls_remainder_mkm_secondwave_total /\ exists bls_remainder_gap_mkm_secondwave_total_division. bls_remainder_gap_mkm_secondwave_total_division + S (bls_remainder_mkm_secondwave_total) = bls_power_mkm_secondwave_total))))) /\ ((forall kmc_index_mkm_secondwave_carries. (exists bcf_lt_gap_mkm_secondwave_carries_bound. bcf_lt_gap_mkm_secondwave_carries_bound + S (kmc_index_mkm_secondwave_carries) = a + b) -> exists kmc_left_mkm_secondwave_carries kmc_right_mkm_secondwave_carries kmc_total_mkm_secondwave_carries kmc_bit_mkm_secondwave_carries. (((exists fs_h_mkm_secondwave_carries_left. fs_h_mkm_secondwave_carries_left + S (kmc_left_mkm_secondwave_carries) = S ((S (kmc_index_mkm_secondwave_carries)) * mkm_lc_secondwave)) /\ exists fs_q_mkm_secondwave_carries_left. mkm_lb_secondwave = fs_q_mkm_secondwave_carries_left * S ((S (kmc_index_mkm_secondwave_carries)) * mkm_lc_secondwave) + (kmc_left_mkm_secondwave_carries))) /\ ((((exists fs_h_mkm_secondwave_carries_right. fs_h_mkm_secondwave_carries_right + S (kmc_right_mkm_secondwave_carries) = S ((S (kmc_index_mkm_secondwave_carries)) * mkm_rc_secondwave)) /\ exists fs_q_mkm_secondwave_carries_right. mkm_rb_secondwave = fs_q_mkm_secondwave_carries_right * S ((S (kmc_index_mkm_secondwave_carries)) * mkm_rc_secondwave) + (kmc_right_mkm_secondwave_carries))) /\ ((((exists fs_h_mkm_secondwave_carries_total. fs_h_mkm_secondwave_carries_total + S (kmc_total_mkm_secondwave_carries) = S ((S (kmc_index_mkm_secondwave_carries)) * mkm_tc_secondwave)) /\ exists fs_q_mkm_secondwave_carries_total. mkm_tb_secondwave = fs_q_mkm_secondwave_carries_total * S ((S (kmc_index_mkm_secondwave_carries)) * mkm_tc_secondwave) + (kmc_total_mkm_secondwave_carries))) /\ ((((exists fs_h_mkm_secondwave_carries_bit. fs_h_mkm_secondwave_carries_bit + S (kmc_bit_mkm_secondwave_carries) = S ((S (kmc_index_mkm_secondwave_carries)) * mkm_cc_secondwave)) /\ exists fs_q_mkm_secondwave_carries_bit. mkm_cb_secondwave = fs_q_mkm_secondwave_carries_bit * S ((S (kmc_index_mkm_secondwave_carries)) * mkm_cc_secondwave) + (kmc_bit_mkm_secondwave_carries))) /\ (((kmc_bit_mkm_secondwave_carries = 0 /\ kmc_total_mkm_secondwave_carries = kmc_left_mkm_secondwave_carries + kmc_right_mkm_secondwave_carries) \/ (kmc_bit_mkm_secondwave_carries = 1 /\ kmc_total_mkm_secondwave_carries = S (kmc_left_mkm_secondwave_carries + kmc_right_mkm_secondwave_carries)))))))) /\ (((exists ff_u_mkm_secondwave_count_sum ff_v_mkm_secondwave_count_sum. ((((exists ff_h_mkm_secondwave_count_sum_start. ff_h_mkm_secondwave_count_sum_start + S (0) = S ((S (0)) * ff_v_mkm_secondwave_count_sum)) /\ exists ff_q_mkm_secondwave_count_sum_start. ff_u_mkm_secondwave_count_sum = ff_q_mkm_secondwave_count_sum_start * S ((S (0)) * ff_v_mkm_secondwave_count_sum) + (0))) /\ ((((exists ff_h_mkm_secondwave_count_sum_terminal. ff_h_mkm_secondwave_count_sum_terminal + S ((e)) = S ((S ((a + b))) * ff_v_mkm_secondwave_count_sum)) /\ exists ff_q_mkm_secondwave_count_sum_terminal. ff_u_mkm_secondwave_count_sum = ff_q_mkm_secondwave_count_sum_terminal * S ((S ((a + b))) * ff_v_mkm_secondwave_count_sum) + ((e)))) /\ forall ff_i_mkm_secondwave_count_sum. (exists ff_lt_mkm_secondwave_count_sum_bound. ff_lt_mkm_secondwave_count_sum_bound + S ff_i_mkm_secondwave_count_sum = (a + b)) -> exists ff_a_mkm_secondwave_count_sum ff_r_mkm_secondwave_count_sum ff_s_mkm_secondwave_count_sum. ((((exists ff_h_mkm_secondwave_count_sum_summand. ff_h_mkm_secondwave_count_sum_summand + S (ff_a_mkm_secondwave_count_sum) = S ((S (ff_i_mkm_secondwave_count_sum)) * mkm_cc_secondwave)) /\ exists ff_q_mkm_secondwave_count_sum_summand. mkm_cb_secondwave = ff_q_mkm_secondwave_count_sum_summand * S ((S (ff_i_mkm_secondwave_count_sum)) * mkm_cc_secondwave) + (ff_a_mkm_secondwave_count_sum))) /\ ((((exists ff_h_mkm_secondwave_count_sum_partial. ff_h_mkm_secondwave_count_sum_partial + S (ff_r_mkm_secondwave_count_sum) = S ((S (ff_i_mkm_secondwave_count_sum)) * ff_v_mkm_secondwave_count_sum)) /\ exists ff_q_mkm_secondwave_count_sum_partial. ff_u_mkm_secondwave_count_sum = ff_q_mkm_secondwave_count_sum_partial * S ((S (ff_i_mkm_secondwave_count_sum)) * ff_v_mkm_secondwave_count_sum) + (ff_r_mkm_secondwave_count_sum))) /\ ((((exists ff_h_mkm_secondwave_count_sum_successor. ff_h_mkm_secondwave_count_sum_successor + S (ff_s_mkm_secondwave_count_sum) = S ((S (S ff_i_mkm_secondwave_count_sum)) * ff_v_mkm_secondwave_count_sum)) /\ exists ff_q_mkm_secondwave_count_sum_successor. ff_u_mkm_secondwave_count_sum = ff_q_mkm_secondwave_count_sum_successor * S ((S (S ff_i_mkm_secondwave_count_sum)) * ff_v_mkm_secondwave_count_sum) + (ff_s_mkm_secondwave_count_sum))) /\ ff_s_mkm_secondwave_count_sum = ff_r_mkm_secondwave_count_sum + ff_a_mkm_secondwave_count_sum)))))) /\ (forall ff_i_mkm_secondwave_count_bits. (exists ff_lt_mkm_secondwave_count_bits_bound. ff_lt_mkm_secondwave_count_bits_bound + S ff_i_mkm_secondwave_count_bits = (a + b)) -> exists ff_bit_mkm_secondwave_count_bits. ((((exists ff_h_mkm_secondwave_count_bits_decoded. ff_h_mkm_secondwave_count_bits_decoded + S (ff_bit_mkm_secondwave_count_bits) = S ((S (ff_i_mkm_secondwave_count_bits)) * mkm_cc_secondwave)) /\ exists ff_q_mkm_secondwave_count_bits_decoded. mkm_cb_secondwave = ff_q_mkm_secondwave_count_bits_decoded * S ((S (ff_i_mkm_secondwave_count_bits)) * mkm_cc_secondwave) + (ff_bit_mkm_secondwave_count_bits))) /\ (ff_bit_mkm_secondwave_count_bits = 0 \/ ff_bit_mkm_secondwave_count_bits = 1))))))))

The unchanged native kernel never receives this surface symbol. Binder-safe expansion produces only its existing first-order syntax.