positive_determinant_matrix_data_nonzero

Exact expanded first-order arithmetic statement

forall ab ac bb bc d D. (((~(d = 0)) /\ ((~(D = 0)) /\ (exists mdr_p_positive_dataabsolute mdr_n_positive_dataabsolute. ((exists mdr_b_positive_dataabsoluteevaluation mdr_c_positive_dataabsoluteevaluation mdr_l_positive_dataabsoluteevaluation mdr_i_positive_dataabsoluteevaluation. ((forall mdr_i_positive_dataabsoluteevaluationh. (exists mdr_gap_positive_dataabsoluteevaluationhi. mdr_gap_positive_dataabsoluteevaluationhi + S (mdr_i_positive_dataabsoluteevaluationh) = (mdr_l_positive_dataabsoluteevaluation)) -> exists mdr_d_positive_dataabsoluteevaluationh mdr_pb_positive_dataabsoluteevaluationh mdr_pc_positive_dataabsoluteevaluationh mdr_nb_positive_dataabsoluteevaluationh mdr_nc_positive_dataabsoluteevaluationh mdr_p_positive_dataabsoluteevaluationh mdr_n_positive_dataabsoluteevaluationh. ((exists mdr_z_positive_dataabsoluteevaluationhr. ((exists mdr_a_positive_dataabsoluteevaluationhrc mdr_b_positive_dataabsoluteevaluationhrc mdr_c_positive_dataabsoluteevaluationhrc mdr_e_positive_dataabsoluteevaluationhrc mdr_f_positive_dataabsoluteevaluationhrc. ((mdr_a_positive_dataabsoluteevaluationhrc = ((mdr_d_positive_dataabsoluteevaluationh) + (mdr_pb_positive_dataabsoluteevaluationh)) * S ((mdr_d_positive_dataabsoluteevaluationh) + (mdr_pb_positive_dataabsoluteevaluationh)) + ((mdr_pb_positive_dataabsoluteevaluationh) + (mdr_pb_positive_dataabsoluteevaluationh))) /\ ((mdr_b_positive_dataabsoluteevaluationhrc = ((mdr_pc_positive_dataabsoluteevaluationh) + (mdr_nb_positive_dataabsoluteevaluationh)) * S ((mdr_pc_positive_dataabsoluteevaluationh) + (mdr_nb_positive_dataabsoluteevaluationh)) + ((mdr_nb_positive_dataabsoluteevaluationh) + (mdr_nb_positive_dataabsoluteevaluationh))) /\ ((mdr_c_positive_dataabsoluteevaluationhrc = ((mdr_a_positive_dataabsoluteevaluationhrc) + (mdr_b_positive_dataabsoluteevaluationhrc)) * S ((mdr_a_positive_dataabsoluteevaluationhrc) + (mdr_b_positive_dataabsoluteevaluationhrc)) + ((mdr_b_positive_dataabsoluteevaluationhrc) + (mdr_b_positive_dataabsoluteevaluationhrc))) /\ ((mdr_e_positive_dataabsoluteevaluationhrc = ((mdr_p_positive_dataabsoluteevaluationh) + (mdr_n_positive_dataabsoluteevaluationh)) * S ((mdr_p_positive_dataabsoluteevaluationh) + (mdr_n_positive_dataabsoluteevaluationh)) + ((mdr_n_positive_dataabsoluteevaluationh) + (mdr_n_positive_dataabsoluteevaluationh))) /\ ((mdr_f_positive_dataabsoluteevaluationhrc = ((mdr_nc_positive_dataabsoluteevaluationh) + (mdr_e_positive_dataabsoluteevaluationhrc)) * S ((mdr_nc_positive_dataabsoluteevaluationh) + (mdr_e_positive_dataabsoluteevaluationhrc)) + ((mdr_e_positive_dataabsoluteevaluationhrc) + (mdr_e_positive_dataabsoluteevaluationhrc))) /\ ((mdr_z_positive_dataabsoluteevaluationhr) = ((mdr_c_positive_dataabsoluteevaluationhrc) + (mdr_f_positive_dataabsoluteevaluationhrc)) * S ((mdr_c_positive_dataabsoluteevaluationhrc) + (mdr_f_positive_dataabsoluteevaluationhrc)) + ((mdr_f_positive_dataabsoluteevaluationhrc) + (mdr_f_positive_dataabsoluteevaluationhrc))))))))) /\ (((exists ff_h_mdr_positive_dataabsoluteevaluationhrb. ff_h_mdr_positive_dataabsoluteevaluationhrb + S (mdr_z_positive_dataabsoluteevaluationhr) = S ((S (mdr_i_positive_dataabsoluteevaluationh)) * mdr_c_positive_dataabsoluteevaluation)) /\ exists ff_q_mdr_positive_dataabsoluteevaluationhrb. mdr_b_positive_dataabsoluteevaluation = ff_q_mdr_positive_dataabsoluteevaluationhrb * S ((S (mdr_i_positive_dataabsoluteevaluationh)) * mdr_c_positive_dataabsoluteevaluation) + (mdr_z_positive_dataabsoluteevaluationhr))))) /\ (((((mdr_d_positive_dataabsoluteevaluationh) = 0) /\ (((mdr_p_positive_dataabsoluteevaluationh) = 1) /\ ((mdr_n_positive_dataabsoluteevaluationh) = 0))) \/ exists mdr_q_positive_dataabsoluteevaluationhs mdr_eb_positive_dataabsoluteevaluationhs mdr_ec_positive_dataabsoluteevaluationhs mdr_fb_positive_dataabsoluteevaluationhs mdr_fc_positive_dataabsoluteevaluationhs. (((mdr_d_positive_dataabsoluteevaluationh) = S (mdr_q_positive_dataabsoluteevaluationhs)) /\ ((forall mdr_j_positive_dataabsoluteevaluationhsc. (exists mdr_gap_positive_dataabsoluteevaluationhscj. mdr_gap_positive_dataabsoluteevaluationhscj + S (mdr_j_positive_dataabsoluteevaluationhsc) = (S (mdr_q_positive_dataabsoluteevaluationhs))) -> exists mdr_i_positive_dataabsoluteevaluationhsc mdr_up_positive_dataabsoluteevaluationhsc mdr_us_positive_dataabsoluteevaluationhsc mdr_un_positive_dataabsoluteevaluationhsc mdr_ut_positive_dataabsoluteevaluationhsc mdr_p_positive_dataabsoluteevaluationhsc mdr_n_positive_dataabsoluteevaluationhsc. ((exists mdr_gap_positive_dataabsoluteevaluationhsci. mdr_gap_positive_dataabsoluteevaluationhsci + S (mdr_i_positive_dataabsoluteevaluationhsc) = (mdr_i_positive_dataabsoluteevaluationh)) /\ ((exists mdr_z_positive_dataabsoluteevaluationhscr. ((exists mdr_a_positive_dataabsoluteevaluationhscrc mdr_b_positive_dataabsoluteevaluationhscrc mdr_c_positive_dataabsoluteevaluationhscrc mdr_e_positive_dataabsoluteevaluationhscrc mdr_f_positive_dataabsoluteevaluationhscrc. ((mdr_a_positive_dataabsoluteevaluationhscrc = ((mdr_q_positive_dataabsoluteevaluationhs) + (mdr_up_positive_dataabsoluteevaluationhsc)) * S ((mdr_q_positive_dataabsoluteevaluationhs) + (mdr_up_positive_dataabsoluteevaluationhsc)) + ((mdr_up_positive_dataabsoluteevaluationhsc) + (mdr_up_positive_dataabsoluteevaluationhsc))) /\ ((mdr_b_positive_dataabsoluteevaluationhscrc = ((mdr_us_positive_dataabsoluteevaluationhsc) + (mdr_un_positive_dataabsoluteevaluationhsc)) * S ((mdr_us_positive_dataabsoluteevaluationhsc) + (mdr_un_positive_dataabsoluteevaluationhsc)) + ((mdr_un_positive_dataabsoluteevaluationhsc) + (mdr_un_positive_dataabsoluteevaluationhsc))) /\ ((mdr_c_positive_dataabsoluteevaluationhscrc = ((mdr_a_positive_dataabsoluteevaluationhscrc) + (mdr_b_positive_dataabsoluteevaluationhscrc)) * S ((mdr_a_positive_dataabsoluteevaluationhscrc) + (mdr_b_positive_dataabsoluteevaluationhscrc)) + ((mdr_b_positive_dataabsoluteevaluationhscrc) + (mdr_b_positive_dataabsoluteevaluationhscrc))) /\ ((mdr_e_positive_dataabsoluteevaluationhscrc = ((mdr_p_positive_dataabsoluteevaluationhsc) + (mdr_n_positive_dataabsoluteevaluationhsc)) * S ((mdr_p_positive_dataabsoluteevaluationhsc) + (mdr_n_positive_dataabsoluteevaluationhsc)) + ((mdr_n_positive_dataabsoluteevaluationhsc) + (mdr_n_positive_dataabsoluteevaluationhsc))) /\ ((mdr_f_positive_dataabsoluteevaluationhscrc = ((mdr_ut_positive_dataabsoluteevaluationhsc) + (mdr_e_positive_dataabsoluteevaluationhscrc)) * S ((mdr_ut_positive_dataabsoluteevaluationhsc) + (mdr_e_positive_dataabsoluteevaluationhscrc)) + ((mdr_e_positive_dataabsoluteevaluationhscrc) + (mdr_e_positive_dataabsoluteevaluationhscrc))) /\ ((mdr_z_positive_dataabsoluteevaluationhscr) = ((mdr_c_positive_dataabsoluteevaluationhscrc) + (mdr_f_positive_dataabsoluteevaluationhscrc)) * S ((mdr_c_positive_dataabsoluteevaluationhscrc) + (mdr_f_positive_dataabsoluteevaluationhscrc)) + ((mdr_f_positive_dataabsoluteevaluationhscrc) + (mdr_f_positive_dataabsoluteevaluationhscrc))))))))) /\ (((exists ff_h_mdr_positive_dataabsoluteevaluationhscrb. ff_h_mdr_positive_dataabsoluteevaluationhscrb + S (mdr_z_positive_dataabsoluteevaluationhscr) = S ((S (mdr_i_positive_dataabsoluteevaluationhsc)) * mdr_c_positive_dataabsoluteevaluation)) /\ exists ff_q_mdr_positive_dataabsoluteevaluationhscrb. mdr_b_positive_dataabsoluteevaluation = ff_q_mdr_positive_dataabsoluteevaluationhscrb * S ((S (mdr_i_positive_dataabsoluteevaluationhsc)) * mdr_c_positive_dataabsoluteevaluation) + (mdr_z_positive_dataabsoluteevaluationhscr))))) /\ ((((forall ff_index_mdm_prefix_mdr_positive_dataabsoluteevaluationhscm_positive. (exists ff_gap_mdm_lt_mdr_positive_dataabsoluteevaluationhscm_positive_index_bound. ff_gap_mdm_lt_mdr_positive_dataabsoluteevaluationhscm_positive_index_bound + S (ff_index_mdm_prefix_mdr_positive_dataabsoluteevaluationhscm_positive) = ((mdr_q_positive_dataabsoluteevaluationhs) * (mdr_q_positive_dataabsoluteevaluationhs))) -> exists ff_row_mdm_prefix_mdr_positive_dataabsoluteevaluationhscm_positive ff_column_mdm_prefix_mdr_positive_dataabsoluteevaluationhscm_positive ff_value_mdm_prefix_mdr_positive_dataabsoluteevaluationhscm_positive. (ff_index_mdm_prefix_mdr_positive_dataabsoluteevaluationhscm_positive = (mdr_q_positive_dataabsoluteevaluationhs) * ff_row_mdm_prefix_mdr_positive_dataabsoluteevaluationhscm_positive + ff_column_mdm_prefix_mdr_positive_dataabsoluteevaluationhscm_positive /\ ((exists ff_gap_mdm_lt_mdr_positive_dataabsoluteevaluationhscm_positive_column_bound. ff_gap_mdm_lt_mdr_positive_dataabsoluteevaluationhscm_positive_column_bound + S (ff_column_mdm_prefix_mdr_positive_dataabsoluteevaluationhscm_positive) = (mdr_q_positive_dataabsoluteevaluationhs)) /\ ((exists ff_row_mdm_cell_mdr_positive_dataabsoluteevaluationhscm_positive_cell ff_column_mdm_cell_mdr_positive_dataabsoluteevaluationhscm_positive_cell. (((((exists ff_gap_mdm_lt_mdr_positive_dataabsoluteevaluationhscm_positive_cell_row_before. ff_gap_mdm_lt_mdr_positive_dataabsoluteevaluationhscm_positive_cell_row_before + S (ff_row_mdm_prefix_mdr_positive_dataabsoluteevaluationhscm_positive) = (0)) /\ ff_row_mdm_cell_mdr_positive_dataabsoluteevaluationhscm_positive_cell = ff_row_mdm_prefix_mdr_positive_dataabsoluteevaluationhscm_positive) \/ ((exists ff_gap_mdm_le_mdr_positive_dataabsoluteevaluationhscm_positive_cell_row_after. ff_gap_mdm_le_mdr_positive_dataabsoluteevaluationhscm_positive_cell_row_after + (0) = (ff_row_mdm_prefix_mdr_positive_dataabsoluteevaluationhscm_positive)) /\ ff_row_mdm_cell_mdr_positive_dataabsoluteevaluationhscm_positive_cell = S ff_row_mdm_prefix_mdr_positive_dataabsoluteevaluationhscm_positive))) /\ (((((exists ff_gap_mdm_lt_mdr_positive_dataabsoluteevaluationhscm_positive_cell_column_before. ff_gap_mdm_lt_mdr_positive_dataabsoluteevaluationhscm_positive_cell_column_before + S (ff_column_mdm_prefix_mdr_positive_dataabsoluteevaluationhscm_positive) = (mdr_j_positive_dataabsoluteevaluationhsc)) /\ ff_column_mdm_cell_mdr_positive_dataabsoluteevaluationhscm_positive_cell = ff_column_mdm_prefix_mdr_positive_dataabsoluteevaluationhscm_positive) \/ ((exists ff_gap_mdm_le_mdr_positive_dataabsoluteevaluationhscm_positive_cell_column_after. ff_gap_mdm_le_mdr_positive_dataabsoluteevaluationhscm_positive_cell_column_after + (mdr_j_positive_dataabsoluteevaluationhsc) = (ff_column_mdm_prefix_mdr_positive_dataabsoluteevaluationhscm_positive)) /\ ff_column_mdm_cell_mdr_positive_dataabsoluteevaluationhscm_positive_cell = S ff_column_mdm_prefix_mdr_positive_dataabsoluteevaluationhscm_positive))) /\ (((exists ff_h_mdm_mdr_positive_dataabsoluteevaluationhscm_positive_cell_source. ff_h_mdm_mdr_positive_dataabsoluteevaluationhscm_positive_cell_source + S (ff_value_mdm_prefix_mdr_positive_dataabsoluteevaluationhscm_positive) = S ((S ((ff_row_mdm_cell_mdr_positive_dataabsoluteevaluationhscm_positive_cell) * (S (mdr_q_positive_dataabsoluteevaluationhs)) + (ff_column_mdm_cell_mdr_positive_dataabsoluteevaluationhscm_positive_cell))) * mdr_pc_positive_dataabsoluteevaluationh)) /\ exists ff_q_mdm_mdr_positive_dataabsoluteevaluationhscm_positive_cell_source. mdr_pb_positive_dataabsoluteevaluationh = ff_q_mdm_mdr_positive_dataabsoluteevaluationhscm_positive_cell_source * S ((S ((ff_row_mdm_cell_mdr_positive_dataabsoluteevaluationhscm_positive_cell) * (S (mdr_q_positive_dataabsoluteevaluationhs)) + (ff_column_mdm_cell_mdr_positive_dataabsoluteevaluationhscm_positive_cell))) * mdr_pc_positive_dataabsoluteevaluationh) + (ff_value_mdm_prefix_mdr_positive_dataabsoluteevaluationhscm_positive)))))) /\ (((exists ff_h_mdm_mdr_positive_dataabsoluteevaluationhscm_positive_target. ff_h_mdm_mdr_positive_dataabsoluteevaluationhscm_positive_target + S (ff_value_mdm_prefix_mdr_positive_dataabsoluteevaluationhscm_positive) = S ((S (ff_index_mdm_prefix_mdr_positive_dataabsoluteevaluationhscm_positive)) * mdr_us_positive_dataabsoluteevaluationhsc)) /\ exists ff_q_mdm_mdr_positive_dataabsoluteevaluationhscm_positive_target. mdr_up_positive_dataabsoluteevaluationhsc = ff_q_mdm_mdr_positive_dataabsoluteevaluationhscm_positive_target * S ((S (ff_index_mdm_prefix_mdr_positive_dataabsoluteevaluationhscm_positive)) * mdr_us_positive_dataabsoluteevaluationhsc) + (ff_value_mdm_prefix_mdr_positive_dataabsoluteevaluationhscm_positive))))))) /\ (forall ff_index_mdm_prefix_mdr_positive_dataabsoluteevaluationhscm_negative. (exists ff_gap_mdm_lt_mdr_positive_dataabsoluteevaluationhscm_negative_index_bound. ff_gap_mdm_lt_mdr_positive_dataabsoluteevaluationhscm_negative_index_bound + S (ff_index_mdm_prefix_mdr_positive_dataabsoluteevaluationhscm_negative) = ((mdr_q_positive_dataabsoluteevaluationhs) * (mdr_q_positive_dataabsoluteevaluationhs))) -> exists ff_row_mdm_prefix_mdr_positive_dataabsoluteevaluationhscm_negative ff_column_mdm_prefix_mdr_positive_dataabsoluteevaluationhscm_negative ff_value_mdm_prefix_mdr_positive_dataabsoluteevaluationhscm_negative. (ff_index_mdm_prefix_mdr_positive_dataabsoluteevaluationhscm_negative = (mdr_q_positive_dataabsoluteevaluationhs) * ff_row_mdm_prefix_mdr_positive_dataabsoluteevaluationhscm_negative + ff_column_mdm_prefix_mdr_positive_dataabsoluteevaluationhscm_negative /\ ((exists ff_gap_mdm_lt_mdr_positive_dataabsoluteevaluationhscm_negative_column_bound. ff_gap_mdm_lt_mdr_positive_dataabsoluteevaluationhscm_negative_column_bound + S (ff_column_mdm_prefix_mdr_positive_dataabsoluteevaluationhscm_negative) = (mdr_q_positive_dataabsoluteevaluationhs)) /\ ((exists ff_row_mdm_cell_mdr_positive_dataabsoluteevaluationhscm_negative_cell ff_column_mdm_cell_mdr_positive_dataabsoluteevaluationhscm_negative_cell. (((((exists ff_gap_mdm_lt_mdr_positive_dataabsoluteevaluationhscm_negative_cell_row_before. ff_gap_mdm_lt_mdr_positive_dataabsoluteevaluationhscm_negative_cell_row_before + S (ff_row_mdm_prefix_mdr_positive_dataabsoluteevaluationhscm_negative) = (0)) /\ ff_row_mdm_cell_mdr_positive_dataabsoluteevaluationhscm_negative_cell = ff_row_mdm_prefix_mdr_positive_dataabsoluteevaluationhscm_negative) \/ ((exists ff_gap_mdm_le_mdr_positive_dataabsoluteevaluationhscm_negative_cell_row_after. ff_gap_mdm_le_mdr_positive_dataabsoluteevaluationhscm_negative_cell_row_after + (0) = (ff_row_mdm_prefix_mdr_positive_dataabsoluteevaluationhscm_negative)) /\ ff_row_mdm_cell_mdr_positive_dataabsoluteevaluationhscm_negative_cell = S ff_row_mdm_prefix_mdr_positive_dataabsoluteevaluationhscm_negative))) /\ (((((exists ff_gap_mdm_lt_mdr_positive_dataabsoluteevaluationhscm_negative_cell_column_before. ff_gap_mdm_lt_mdr_positive_dataabsoluteevaluationhscm_negative_cell_column_before + S (ff_column_mdm_prefix_mdr_positive_dataabsoluteevaluationhscm_negative) = (mdr_j_positive_dataabsoluteevaluationhsc)) /\ ff_column_mdm_cell_mdr_positive_dataabsoluteevaluationhscm_negative_cell = ff_column_mdm_prefix_mdr_positive_dataabsoluteevaluationhscm_negative) \/ ((exists ff_gap_mdm_le_mdr_positive_dataabsoluteevaluationhscm_negative_cell_column_after. ff_gap_mdm_le_mdr_positive_dataabsoluteevaluationhscm_negative_cell_column_after + (mdr_j_positive_dataabsoluteevaluationhsc) = (ff_column_mdm_prefix_mdr_positive_dataabsoluteevaluationhscm_negative)) /\ ff_column_mdm_cell_mdr_positive_dataabsoluteevaluationhscm_negative_cell = S ff_column_mdm_prefix_mdr_positive_dataabsoluteevaluationhscm_negative))) /\ (((exists ff_h_mdm_mdr_positive_dataabsoluteevaluationhscm_negative_cell_source. ff_h_mdm_mdr_positive_dataabsoluteevaluationhscm_negative_cell_source + S (ff_value_mdm_prefix_mdr_positive_dataabsoluteevaluationhscm_negative) = S ((S ((ff_row_mdm_cell_mdr_positive_dataabsoluteevaluationhscm_negative_cell) * (S (mdr_q_positive_dataabsoluteevaluationhs)) + (ff_column_mdm_cell_mdr_positive_dataabsoluteevaluationhscm_negative_cell))) * mdr_nc_positive_dataabsoluteevaluationh)) /\ exists ff_q_mdm_mdr_positive_dataabsoluteevaluationhscm_negative_cell_source. mdr_nb_positive_dataabsoluteevaluationh = ff_q_mdm_mdr_positive_dataabsoluteevaluationhscm_negative_cell_source * S ((S ((ff_row_mdm_cell_mdr_positive_dataabsoluteevaluationhscm_negative_cell) * (S (mdr_q_positive_dataabsoluteevaluationhs)) + (ff_column_mdm_cell_mdr_positive_dataabsoluteevaluationhscm_negative_cell))) * mdr_nc_positive_dataabsoluteevaluationh) + (ff_value_mdm_prefix_mdr_positive_dataabsoluteevaluationhscm_negative)))))) /\ (((exists ff_h_mdm_mdr_positive_dataabsoluteevaluationhscm_negative_target. ff_h_mdm_mdr_positive_dataabsoluteevaluationhscm_negative_target + S (ff_value_mdm_prefix_mdr_positive_dataabsoluteevaluationhscm_negative) = S ((S (ff_index_mdm_prefix_mdr_positive_dataabsoluteevaluationhscm_negative)) * mdr_ut_positive_dataabsoluteevaluationhsc)) /\ exists ff_q_mdm_mdr_positive_dataabsoluteevaluationhscm_negative_target. mdr_un_positive_dataabsoluteevaluationhsc = ff_q_mdm_mdr_positive_dataabsoluteevaluationhscm_negative_target * S ((S (ff_index_mdm_prefix_mdr_positive_dataabsoluteevaluationhscm_negative)) * mdr_ut_positive_dataabsoluteevaluationhsc) + (ff_value_mdm_prefix_mdr_positive_dataabsoluteevaluationhscm_negative))))))))) /\ ((((exists ff_h_mdr_positive_dataabsoluteevaluationhscp. ff_h_mdr_positive_dataabsoluteevaluationhscp + S (mdr_p_positive_dataabsoluteevaluationhsc) = S ((S (mdr_j_positive_dataabsoluteevaluationhsc)) * mdr_ec_positive_dataabsoluteevaluationhs)) /\ exists ff_q_mdr_positive_dataabsoluteevaluationhscp. mdr_eb_positive_dataabsoluteevaluationhs = ff_q_mdr_positive_dataabsoluteevaluationhscp * S ((S (mdr_j_positive_dataabsoluteevaluationhsc)) * mdr_ec_positive_dataabsoluteevaluationhs) + (mdr_p_positive_dataabsoluteevaluationhsc))) /\ (((exists ff_h_mdr_positive_dataabsoluteevaluationhscn. ff_h_mdr_positive_dataabsoluteevaluationhscn + S (mdr_n_positive_dataabsoluteevaluationhsc) = S ((S (mdr_j_positive_dataabsoluteevaluationhsc)) * mdr_fc_positive_dataabsoluteevaluationhs)) /\ exists ff_q_mdr_positive_dataabsoluteevaluationhscn. mdr_fb_positive_dataabsoluteevaluationhs = ff_q_mdr_positive_dataabsoluteevaluationhscn * S ((S (mdr_j_positive_dataabsoluteevaluationhsc)) * mdr_fc_positive_dataabsoluteevaluationhs) + (mdr_n_positive_dataabsoluteevaluationhsc)))))))) /\ (exists ff_ub_mce_fold_mdr_positive_dataabsoluteevaluationhsf ff_uc_mce_fold_mdr_positive_dataabsoluteevaluationhsf ff_vb_mce_fold_mdr_positive_dataabsoluteevaluationhsf ff_vc_mce_fold_mdr_positive_dataabsoluteevaluationhsf. ((forall ff_index_mce_alternating_mdr_positive_dataabsoluteevaluationhsf_prefix. (exists ff_gap_mce_mdr_positive_dataabsoluteevaluationhsf_prefix_index. ff_gap_mce_mdr_positive_dataabsoluteevaluationhsf_prefix_index + S (ff_index_mce_alternating_mdr_positive_dataabsoluteevaluationhsf_prefix) = (S (mdr_q_positive_dataabsoluteevaluationhs))) -> exists ff_ap_mce_alternating_mdr_positive_dataabsoluteevaluationhsf_prefix ff_an_mce_alternating_mdr_positive_dataabsoluteevaluationhsf_prefix ff_bp_mce_alternating_mdr_positive_dataabsoluteevaluationhsf_prefix ff_bn_mce_alternating_mdr_positive_dataabsoluteevaluationhsf_prefix ff_p_mce_alternating_mdr_positive_dataabsoluteevaluationhsf_prefix ff_n_mce_alternating_mdr_positive_dataabsoluteevaluationhsf_prefix. ((((exists ff_h_mce_mdr_positive_dataabsoluteevaluationhsf_prefix_ap. ff_h_mce_mdr_positive_dataabsoluteevaluationhsf_prefix_ap + S (ff_ap_mce_alternating_mdr_positive_dataabsoluteevaluationhsf_prefix) = S ((S (ff_index_mce_alternating_mdr_positive_dataabsoluteevaluationhsf_prefix)) * mdr_pc_positive_dataabsoluteevaluationh)) /\ exists ff_q_mce_mdr_positive_dataabsoluteevaluationhsf_prefix_ap. mdr_pb_positive_dataabsoluteevaluationh = ff_q_mce_mdr_positive_dataabsoluteevaluationhsf_prefix_ap * S ((S (ff_index_mce_alternating_mdr_positive_dataabsoluteevaluationhsf_prefix)) * mdr_pc_positive_dataabsoluteevaluationh) + (ff_ap_mce_alternating_mdr_positive_dataabsoluteevaluationhsf_prefix))) /\ ((((exists ff_h_mce_mdr_positive_dataabsoluteevaluationhsf_prefix_an. ff_h_mce_mdr_positive_dataabsoluteevaluationhsf_prefix_an + S (ff_an_mce_alternating_mdr_positive_dataabsoluteevaluationhsf_prefix) = S ((S (ff_index_mce_alternating_mdr_positive_dataabsoluteevaluationhsf_prefix)) * mdr_nc_positive_dataabsoluteevaluationh)) /\ exists ff_q_mce_mdr_positive_dataabsoluteevaluationhsf_prefix_an. mdr_nb_positive_dataabsoluteevaluationh = ff_q_mce_mdr_positive_dataabsoluteevaluationhsf_prefix_an * S ((S (ff_index_mce_alternating_mdr_positive_dataabsoluteevaluationhsf_prefix)) * mdr_nc_positive_dataabsoluteevaluationh) + (ff_an_mce_alternating_mdr_positive_dataabsoluteevaluationhsf_prefix))) /\ ((((exists ff_h_mce_mdr_positive_dataabsoluteevaluationhsf_prefix_bp. ff_h_mce_mdr_positive_dataabsoluteevaluationhsf_prefix_bp + S (ff_bp_mce_alternating_mdr_positive_dataabsoluteevaluationhsf_prefix) = S ((S (ff_index_mce_alternating_mdr_positive_dataabsoluteevaluationhsf_prefix)) * mdr_ec_positive_dataabsoluteevaluationhs)) /\ exists ff_q_mce_mdr_positive_dataabsoluteevaluationhsf_prefix_bp. mdr_eb_positive_dataabsoluteevaluationhs = ff_q_mce_mdr_positive_dataabsoluteevaluationhsf_prefix_bp * S ((S (ff_index_mce_alternating_mdr_positive_dataabsoluteevaluationhsf_prefix)) * mdr_ec_positive_dataabsoluteevaluationhs) + (ff_bp_mce_alternating_mdr_positive_dataabsoluteevaluationhsf_prefix))) /\ ((((exists ff_h_mce_mdr_positive_dataabsoluteevaluationhsf_prefix_bn. ff_h_mce_mdr_positive_dataabsoluteevaluationhsf_prefix_bn + S (ff_bn_mce_alternating_mdr_positive_dataabsoluteevaluationhsf_prefix) = S ((S (ff_index_mce_alternating_mdr_positive_dataabsoluteevaluationhsf_prefix)) * mdr_fc_positive_dataabsoluteevaluationhs)) /\ exists ff_q_mce_mdr_positive_dataabsoluteevaluationhsf_prefix_bn. mdr_fb_positive_dataabsoluteevaluationhs = ff_q_mce_mdr_positive_dataabsoluteevaluationhsf_prefix_bn * S ((S (ff_index_mce_alternating_mdr_positive_dataabsoluteevaluationhsf_prefix)) * mdr_fc_positive_dataabsoluteevaluationhs) + (ff_bn_mce_alternating_mdr_positive_dataabsoluteevaluationhsf_prefix))) /\ ((((exists ff_h_mce_mdr_positive_dataabsoluteevaluationhsf_prefix_positive. ff_h_mce_mdr_positive_dataabsoluteevaluationhsf_prefix_positive + S (ff_p_mce_alternating_mdr_positive_dataabsoluteevaluationhsf_prefix) = S ((S (ff_index_mce_alternating_mdr_positive_dataabsoluteevaluationhsf_prefix)) * ff_uc_mce_fold_mdr_positive_dataabsoluteevaluationhsf)) /\ exists ff_q_mce_mdr_positive_dataabsoluteevaluationhsf_prefix_positive. ff_ub_mce_fold_mdr_positive_dataabsoluteevaluationhsf = ff_q_mce_mdr_positive_dataabsoluteevaluationhsf_prefix_positive * S ((S (ff_index_mce_alternating_mdr_positive_dataabsoluteevaluationhsf_prefix)) * ff_uc_mce_fold_mdr_positive_dataabsoluteevaluationhsf) + (ff_p_mce_alternating_mdr_positive_dataabsoluteevaluationhsf_prefix))) /\ ((((exists ff_h_mce_mdr_positive_dataabsoluteevaluationhsf_prefix_negative. ff_h_mce_mdr_positive_dataabsoluteevaluationhsf_prefix_negative + S (ff_n_mce_alternating_mdr_positive_dataabsoluteevaluationhsf_prefix) = S ((S (ff_index_mce_alternating_mdr_positive_dataabsoluteevaluationhsf_prefix)) * ff_vc_mce_fold_mdr_positive_dataabsoluteevaluationhsf)) /\ exists ff_q_mce_mdr_positive_dataabsoluteevaluationhsf_prefix_negative. ff_vb_mce_fold_mdr_positive_dataabsoluteevaluationhsf = ff_q_mce_mdr_positive_dataabsoluteevaluationhsf_prefix_negative * S ((S (ff_index_mce_alternating_mdr_positive_dataabsoluteevaluationhsf_prefix)) * ff_vc_mce_fold_mdr_positive_dataabsoluteevaluationhsf) + (ff_n_mce_alternating_mdr_positive_dataabsoluteevaluationhsf_prefix))) /\ (((exists ff_even_mce_term_mdr_positive_dataabsoluteevaluationhsf_prefix_term. ff_index_mce_alternating_mdr_positive_dataabsoluteevaluationhsf_prefix = 2 * ff_even_mce_term_mdr_positive_dataabsoluteevaluationhsf_prefix_term) /\ (ff_p_mce_alternating_mdr_positive_dataabsoluteevaluationhsf_prefix = (ff_ap_mce_alternating_mdr_positive_dataabsoluteevaluationhsf_prefix) * (ff_bp_mce_alternating_mdr_positive_dataabsoluteevaluationhsf_prefix) + (ff_an_mce_alternating_mdr_positive_dataabsoluteevaluationhsf_prefix) * (ff_bn_mce_alternating_mdr_positive_dataabsoluteevaluationhsf_prefix) /\ ff_n_mce_alternating_mdr_positive_dataabsoluteevaluationhsf_prefix = (ff_ap_mce_alternating_mdr_positive_dataabsoluteevaluationhsf_prefix) * (ff_bn_mce_alternating_mdr_positive_dataabsoluteevaluationhsf_prefix) + (ff_an_mce_alternating_mdr_positive_dataabsoluteevaluationhsf_prefix) * (ff_bp_mce_alternating_mdr_positive_dataabsoluteevaluationhsf_prefix))) \/ ((exists ff_odd_mce_term_mdr_positive_dataabsoluteevaluationhsf_prefix_term. ff_index_mce_alternating_mdr_positive_dataabsoluteevaluationhsf_prefix = 2 * ff_odd_mce_term_mdr_positive_dataabsoluteevaluationhsf_prefix_term + 1) /\ (ff_p_mce_alternating_mdr_positive_dataabsoluteevaluationhsf_prefix = (ff_ap_mce_alternating_mdr_positive_dataabsoluteevaluationhsf_prefix) * (ff_bn_mce_alternating_mdr_positive_dataabsoluteevaluationhsf_prefix) + (ff_an_mce_alternating_mdr_positive_dataabsoluteevaluationhsf_prefix) * (ff_bp_mce_alternating_mdr_positive_dataabsoluteevaluationhsf_prefix) /\ ff_n_mce_alternating_mdr_positive_dataabsoluteevaluationhsf_prefix = (ff_ap_mce_alternating_mdr_positive_dataabsoluteevaluationhsf_prefix) * (ff_bp_mce_alternating_mdr_positive_dataabsoluteevaluationhsf_prefix) + (ff_an_mce_alternating_mdr_positive_dataabsoluteevaluationhsf_prefix) * (ff_bn_mce_alternating_mdr_positive_dataabsoluteevaluationhsf_prefix))))))))))) /\ ((exists ff_u_mce_mdr_positive_dataabsoluteevaluationhsf_positive ff_v_mce_mdr_positive_dataabsoluteevaluationhsf_positive. ((((exists ff_h_mce_mdr_positive_dataabsoluteevaluationhsf_positive_start. ff_h_mce_mdr_positive_dataabsoluteevaluationhsf_positive_start + S (0) = S ((S (0)) * ff_v_mce_mdr_positive_dataabsoluteevaluationhsf_positive)) /\ exists ff_q_mce_mdr_positive_dataabsoluteevaluationhsf_positive_start. ff_u_mce_mdr_positive_dataabsoluteevaluationhsf_positive = ff_q_mce_mdr_positive_dataabsoluteevaluationhsf_positive_start * S ((S (0)) * ff_v_mce_mdr_positive_dataabsoluteevaluationhsf_positive) + (0))) /\ ((((exists ff_h_mce_mdr_positive_dataabsoluteevaluationhsf_positive_terminal. ff_h_mce_mdr_positive_dataabsoluteevaluationhsf_positive_terminal + S (mdr_p_positive_dataabsoluteevaluationh) = S ((S ((S (mdr_q_positive_dataabsoluteevaluationhs)))) * ff_v_mce_mdr_positive_dataabsoluteevaluationhsf_positive)) /\ exists ff_q_mce_mdr_positive_dataabsoluteevaluationhsf_positive_terminal. ff_u_mce_mdr_positive_dataabsoluteevaluationhsf_positive = ff_q_mce_mdr_positive_dataabsoluteevaluationhsf_positive_terminal * S ((S ((S (mdr_q_positive_dataabsoluteevaluationhs)))) * ff_v_mce_mdr_positive_dataabsoluteevaluationhsf_positive) + (mdr_p_positive_dataabsoluteevaluationh))) /\ forall ff_i_mce_mdr_positive_dataabsoluteevaluationhsf_positive. (exists ff_lt_mce_mdr_positive_dataabsoluteevaluationhsf_positive_bound. ff_lt_mce_mdr_positive_dataabsoluteevaluationhsf_positive_bound + S ff_i_mce_mdr_positive_dataabsoluteevaluationhsf_positive = (S (mdr_q_positive_dataabsoluteevaluationhs))) -> exists ff_a_mce_mdr_positive_dataabsoluteevaluationhsf_positive ff_r_mce_mdr_positive_dataabsoluteevaluationhsf_positive ff_s_mce_mdr_positive_dataabsoluteevaluationhsf_positive. ((((exists ff_h_mce_mdr_positive_dataabsoluteevaluationhsf_positive_summand. ff_h_mce_mdr_positive_dataabsoluteevaluationhsf_positive_summand + S (ff_a_mce_mdr_positive_dataabsoluteevaluationhsf_positive) = S ((S (ff_i_mce_mdr_positive_dataabsoluteevaluationhsf_positive)) * ff_uc_mce_fold_mdr_positive_dataabsoluteevaluationhsf)) /\ exists ff_q_mce_mdr_positive_dataabsoluteevaluationhsf_positive_summand. ff_ub_mce_fold_mdr_positive_dataabsoluteevaluationhsf = ff_q_mce_mdr_positive_dataabsoluteevaluationhsf_positive_summand * S ((S (ff_i_mce_mdr_positive_dataabsoluteevaluationhsf_positive)) * ff_uc_mce_fold_mdr_positive_dataabsoluteevaluationhsf) + (ff_a_mce_mdr_positive_dataabsoluteevaluationhsf_positive))) /\ ((((exists ff_h_mce_mdr_positive_dataabsoluteevaluationhsf_positive_partial. ff_h_mce_mdr_positive_dataabsoluteevaluationhsf_positive_partial + S (ff_r_mce_mdr_positive_dataabsoluteevaluationhsf_positive) = S ((S (ff_i_mce_mdr_positive_dataabsoluteevaluationhsf_positive)) * ff_v_mce_mdr_positive_dataabsoluteevaluationhsf_positive)) /\ exists ff_q_mce_mdr_positive_dataabsoluteevaluationhsf_positive_partial. ff_u_mce_mdr_positive_dataabsoluteevaluationhsf_positive = ff_q_mce_mdr_positive_dataabsoluteevaluationhsf_positive_partial * S ((S (ff_i_mce_mdr_positive_dataabsoluteevaluationhsf_positive)) * ff_v_mce_mdr_positive_dataabsoluteevaluationhsf_positive) + (ff_r_mce_mdr_positive_dataabsoluteevaluationhsf_positive))) /\ ((((exists ff_h_mce_mdr_positive_dataabsoluteevaluationhsf_positive_successor. ff_h_mce_mdr_positive_dataabsoluteevaluationhsf_positive_successor + S (ff_s_mce_mdr_positive_dataabsoluteevaluationhsf_positive) = S ((S (S ff_i_mce_mdr_positive_dataabsoluteevaluationhsf_positive)) * ff_v_mce_mdr_positive_dataabsoluteevaluationhsf_positive)) /\ exists ff_q_mce_mdr_positive_dataabsoluteevaluationhsf_positive_successor. ff_u_mce_mdr_positive_dataabsoluteevaluationhsf_positive = ff_q_mce_mdr_positive_dataabsoluteevaluationhsf_positive_successor * S ((S (S ff_i_mce_mdr_positive_dataabsoluteevaluationhsf_positive)) * ff_v_mce_mdr_positive_dataabsoluteevaluationhsf_positive) + (ff_s_mce_mdr_positive_dataabsoluteevaluationhsf_positive))) /\ ff_s_mce_mdr_positive_dataabsoluteevaluationhsf_positive = ff_r_mce_mdr_positive_dataabsoluteevaluationhsf_positive + ff_a_mce_mdr_positive_dataabsoluteevaluationhsf_positive)))))) /\ (exists ff_u_mce_mdr_positive_dataabsoluteevaluationhsf_negative ff_v_mce_mdr_positive_dataabsoluteevaluationhsf_negative. ((((exists ff_h_mce_mdr_positive_dataabsoluteevaluationhsf_negative_start. ff_h_mce_mdr_positive_dataabsoluteevaluationhsf_negative_start + S (0) = S ((S (0)) * ff_v_mce_mdr_positive_dataabsoluteevaluationhsf_negative)) /\ exists ff_q_mce_mdr_positive_dataabsoluteevaluationhsf_negative_start. ff_u_mce_mdr_positive_dataabsoluteevaluationhsf_negative = ff_q_mce_mdr_positive_dataabsoluteevaluationhsf_negative_start * S ((S (0)) * ff_v_mce_mdr_positive_dataabsoluteevaluationhsf_negative) + (0))) /\ ((((exists ff_h_mce_mdr_positive_dataabsoluteevaluationhsf_negative_terminal. ff_h_mce_mdr_positive_dataabsoluteevaluationhsf_negative_terminal + S (mdr_n_positive_dataabsoluteevaluationh) = S ((S ((S (mdr_q_positive_dataabsoluteevaluationhs)))) * ff_v_mce_mdr_positive_dataabsoluteevaluationhsf_negative)) /\ exists ff_q_mce_mdr_positive_dataabsoluteevaluationhsf_negative_terminal. ff_u_mce_mdr_positive_dataabsoluteevaluationhsf_negative = ff_q_mce_mdr_positive_dataabsoluteevaluationhsf_negative_terminal * S ((S ((S (mdr_q_positive_dataabsoluteevaluationhs)))) * ff_v_mce_mdr_positive_dataabsoluteevaluationhsf_negative) + (mdr_n_positive_dataabsoluteevaluationh))) /\ forall ff_i_mce_mdr_positive_dataabsoluteevaluationhsf_negative. (exists ff_lt_mce_mdr_positive_dataabsoluteevaluationhsf_negative_bound. ff_lt_mce_mdr_positive_dataabsoluteevaluationhsf_negative_bound + S ff_i_mce_mdr_positive_dataabsoluteevaluationhsf_negative = (S (mdr_q_positive_dataabsoluteevaluationhs))) -> exists ff_a_mce_mdr_positive_dataabsoluteevaluationhsf_negative ff_r_mce_mdr_positive_dataabsoluteevaluationhsf_negative ff_s_mce_mdr_positive_dataabsoluteevaluationhsf_negative. ((((exists ff_h_mce_mdr_positive_dataabsoluteevaluationhsf_negative_summand. ff_h_mce_mdr_positive_dataabsoluteevaluationhsf_negative_summand + S (ff_a_mce_mdr_positive_dataabsoluteevaluationhsf_negative) = S ((S (ff_i_mce_mdr_positive_dataabsoluteevaluationhsf_negative)) * ff_vc_mce_fold_mdr_positive_dataabsoluteevaluationhsf)) /\ exists ff_q_mce_mdr_positive_dataabsoluteevaluationhsf_negative_summand. ff_vb_mce_fold_mdr_positive_dataabsoluteevaluationhsf = ff_q_mce_mdr_positive_dataabsoluteevaluationhsf_negative_summand * S ((S (ff_i_mce_mdr_positive_dataabsoluteevaluationhsf_negative)) * ff_vc_mce_fold_mdr_positive_dataabsoluteevaluationhsf) + (ff_a_mce_mdr_positive_dataabsoluteevaluationhsf_negative))) /\ ((((exists ff_h_mce_mdr_positive_dataabsoluteevaluationhsf_negative_partial. ff_h_mce_mdr_positive_dataabsoluteevaluationhsf_negative_partial + S (ff_r_mce_mdr_positive_dataabsoluteevaluationhsf_negative) = S ((S (ff_i_mce_mdr_positive_dataabsoluteevaluationhsf_negative)) * ff_v_mce_mdr_positive_dataabsoluteevaluationhsf_negative)) /\ exists ff_q_mce_mdr_positive_dataabsoluteevaluationhsf_negative_partial. ff_u_mce_mdr_positive_dataabsoluteevaluationhsf_negative = ff_q_mce_mdr_positive_dataabsoluteevaluationhsf_negative_partial * S ((S (ff_i_mce_mdr_positive_dataabsoluteevaluationhsf_negative)) * ff_v_mce_mdr_positive_dataabsoluteevaluationhsf_negative) + (ff_r_mce_mdr_positive_dataabsoluteevaluationhsf_negative))) /\ ((((exists ff_h_mce_mdr_positive_dataabsoluteevaluationhsf_negative_successor. ff_h_mce_mdr_positive_dataabsoluteevaluationhsf_negative_successor + S (ff_s_mce_mdr_positive_dataabsoluteevaluationhsf_negative) = S ((S (S ff_i_mce_mdr_positive_dataabsoluteevaluationhsf_negative)) * ff_v_mce_mdr_positive_dataabsoluteevaluationhsf_negative)) /\ exists ff_q_mce_mdr_positive_dataabsoluteevaluationhsf_negative_successor. ff_u_mce_mdr_positive_dataabsoluteevaluationhsf_negative = ff_q_mce_mdr_positive_dataabsoluteevaluationhsf_negative_successor * S ((S (S ff_i_mce_mdr_positive_dataabsoluteevaluationhsf_negative)) * ff_v_mce_mdr_positive_dataabsoluteevaluationhsf_negative) + (ff_s_mce_mdr_positive_dataabsoluteevaluationhsf_negative))) /\ ff_s_mce_mdr_positive_dataabsoluteevaluationhsf_negative = ff_r_mce_mdr_positive_dataabsoluteevaluationhsf_negative + ff_a_mce_mdr_positive_dataabsoluteevaluationhsf_negative))))))))))))))) /\ ((exists mdr_gap_positive_dataabsoluteevaluationi. mdr_gap_positive_dataabsoluteevaluationi + S (mdr_i_positive_dataabsoluteevaluation) = (mdr_l_positive_dataabsoluteevaluation)) /\ (exists mdr_z_positive_dataabsoluteevaluationr. ((exists mdr_a_positive_dataabsoluteevaluationrc mdr_b_positive_dataabsoluteevaluationrc mdr_c_positive_dataabsoluteevaluationrc mdr_e_positive_dataabsoluteevaluationrc mdr_f_positive_dataabsoluteevaluationrc. ((mdr_a_positive_dataabsoluteevaluationrc = ((d) + (ab)) * S ((d) + (ab)) + ((ab) + (ab))) /\ ((mdr_b_positive_dataabsoluteevaluationrc = ((ac) + (bb)) * S ((ac) + (bb)) + ((bb) + (bb))) /\ ((mdr_c_positive_dataabsoluteevaluationrc = ((mdr_a_positive_dataabsoluteevaluationrc) + (mdr_b_positive_dataabsoluteevaluationrc)) * S ((mdr_a_positive_dataabsoluteevaluationrc) + (mdr_b_positive_dataabsoluteevaluationrc)) + ((mdr_b_positive_dataabsoluteevaluationrc) + (mdr_b_positive_dataabsoluteevaluationrc))) /\ ((mdr_e_positive_dataabsoluteevaluationrc = ((mdr_p_positive_dataabsolute) + (mdr_n_positive_dataabsolute)) * S ((mdr_p_positive_dataabsolute) + (mdr_n_positive_dataabsolute)) + ((mdr_n_positive_dataabsolute) + (mdr_n_positive_dataabsolute))) /\ ((mdr_f_positive_dataabsoluteevaluationrc = ((bc) + (mdr_e_positive_dataabsoluteevaluationrc)) * S ((bc) + (mdr_e_positive_dataabsoluteevaluationrc)) + ((mdr_e_positive_dataabsoluteevaluationrc) + (mdr_e_positive_dataabsoluteevaluationrc))) /\ ((mdr_z_positive_dataabsoluteevaluationr) = ((mdr_c_positive_dataabsoluteevaluationrc) + (mdr_f_positive_dataabsoluteevaluationrc)) * S ((mdr_c_positive_dataabsoluteevaluationrc) + (mdr_f_positive_dataabsoluteevaluationrc)) + ((mdr_f_positive_dataabsoluteevaluationrc) + (mdr_f_positive_dataabsoluteevaluationrc))))))))) /\ (((exists ff_h_mdr_positive_dataabsoluteevaluationrb. ff_h_mdr_positive_dataabsoluteevaluationrb + S (mdr_z_positive_dataabsoluteevaluationr) = S ((S (mdr_i_positive_dataabsoluteevaluation)) * mdr_c_positive_dataabsoluteevaluation)) /\ exists ff_q_mdr_positive_dataabsoluteevaluationrb. mdr_b_positive_dataabsoluteevaluation = ff_q_mdr_positive_dataabsoluteevaluationrb * S ((S (mdr_i_positive_dataabsoluteevaluation)) * mdr_c_positive_dataabsoluteevaluation) + (mdr_z_positive_dataabsoluteevaluationr)))))))) /\ (((mdr_p_positive_dataabsolute) = (mdr_n_positive_dataabsolute) + (D)) \/ ((mdr_n_positive_dataabsolute) = (mdr_p_positive_dataabsolute) + (D)))))))) -> exists p n. (((exists mdr_b_positive_actual_det mdr_c_positive_actual_det mdr_l_positive_actual_det mdr_i_positive_actual_det. ((forall mdr_i_positive_actual_deth. (exists mdr_gap_positive_actual_dethi. mdr_gap_positive_actual_dethi + S (mdr_i_positive_actual_deth) = (mdr_l_positive_actual_det)) -> exists mdr_d_positive_actual_deth mdr_pb_positive_actual_deth mdr_pc_positive_actual_deth mdr_nb_positive_actual_deth mdr_nc_positive_actual_deth mdr_p_positive_actual_deth mdr_n_positive_actual_deth. ((exists mdr_z_positive_actual_dethr. ((exists mdr_a_positive_actual_dethrc mdr_b_positive_actual_dethrc mdr_c_positive_actual_dethrc mdr_e_positive_actual_dethrc mdr_f_positive_actual_dethrc. ((mdr_a_positive_actual_dethrc = ((mdr_d_positive_actual_deth) + (mdr_pb_positive_actual_deth)) * S ((mdr_d_positive_actual_deth) + (mdr_pb_positive_actual_deth)) + ((mdr_pb_positive_actual_deth) + (mdr_pb_positive_actual_deth))) /\ ((mdr_b_positive_actual_dethrc = ((mdr_pc_positive_actual_deth) + (mdr_nb_positive_actual_deth)) * S ((mdr_pc_positive_actual_deth) + (mdr_nb_positive_actual_deth)) + ((mdr_nb_positive_actual_deth) + (mdr_nb_positive_actual_deth))) /\ ((mdr_c_positive_actual_dethrc = ((mdr_a_positive_actual_dethrc) + (mdr_b_positive_actual_dethrc)) * S ((mdr_a_positive_actual_dethrc) + (mdr_b_positive_actual_dethrc)) + ((mdr_b_positive_actual_dethrc) + (mdr_b_positive_actual_dethrc))) /\ ((mdr_e_positive_actual_dethrc = ((mdr_p_positive_actual_deth) + (mdr_n_positive_actual_deth)) * S ((mdr_p_positive_actual_deth) + (mdr_n_positive_actual_deth)) + ((mdr_n_positive_actual_deth) + (mdr_n_positive_actual_deth))) /\ ((mdr_f_positive_actual_dethrc = ((mdr_nc_positive_actual_deth) + (mdr_e_positive_actual_dethrc)) * S ((mdr_nc_positive_actual_deth) + (mdr_e_positive_actual_dethrc)) + ((mdr_e_positive_actual_dethrc) + (mdr_e_positive_actual_dethrc))) /\ ((mdr_z_positive_actual_dethr) = ((mdr_c_positive_actual_dethrc) + (mdr_f_positive_actual_dethrc)) * S ((mdr_c_positive_actual_dethrc) + (mdr_f_positive_actual_dethrc)) + ((mdr_f_positive_actual_dethrc) + (mdr_f_positive_actual_dethrc))))))))) /\ (((exists ff_h_mdr_positive_actual_dethrb. ff_h_mdr_positive_actual_dethrb + S (mdr_z_positive_actual_dethr) = S ((S (mdr_i_positive_actual_deth)) * mdr_c_positive_actual_det)) /\ exists ff_q_mdr_positive_actual_dethrb. mdr_b_positive_actual_det = ff_q_mdr_positive_actual_dethrb * S ((S (mdr_i_positive_actual_deth)) * mdr_c_positive_actual_det) + (mdr_z_positive_actual_dethr))))) /\ (((((mdr_d_positive_actual_deth) = 0) /\ (((mdr_p_positive_actual_deth) = 1) /\ ((mdr_n_positive_actual_deth) = 0))) \/ exists mdr_q_positive_actual_deths mdr_eb_positive_actual_deths mdr_ec_positive_actual_deths mdr_fb_positive_actual_deths mdr_fc_positive_actual_deths. (((mdr_d_positive_actual_deth) = S (mdr_q_positive_actual_deths)) /\ ((forall mdr_j_positive_actual_dethsc. (exists mdr_gap_positive_actual_dethscj. mdr_gap_positive_actual_dethscj + S (mdr_j_positive_actual_dethsc) = (S (mdr_q_positive_actual_deths))) -> exists mdr_i_positive_actual_dethsc mdr_up_positive_actual_dethsc mdr_us_positive_actual_dethsc mdr_un_positive_actual_dethsc mdr_ut_positive_actual_dethsc mdr_p_positive_actual_dethsc mdr_n_positive_actual_dethsc. ((exists mdr_gap_positive_actual_dethsci. mdr_gap_positive_actual_dethsci + S (mdr_i_positive_actual_dethsc) = (mdr_i_positive_actual_deth)) /\ ((exists mdr_z_positive_actual_dethscr. ((exists mdr_a_positive_actual_dethscrc mdr_b_positive_actual_dethscrc mdr_c_positive_actual_dethscrc mdr_e_positive_actual_dethscrc mdr_f_positive_actual_dethscrc. ((mdr_a_positive_actual_dethscrc = ((mdr_q_positive_actual_deths) + (mdr_up_positive_actual_dethsc)) * S ((mdr_q_positive_actual_deths) + (mdr_up_positive_actual_dethsc)) + ((mdr_up_positive_actual_dethsc) + (mdr_up_positive_actual_dethsc))) /\ ((mdr_b_positive_actual_dethscrc = ((mdr_us_positive_actual_dethsc) + (mdr_un_positive_actual_dethsc)) * S ((mdr_us_positive_actual_dethsc) + (mdr_un_positive_actual_dethsc)) + ((mdr_un_positive_actual_dethsc) + (mdr_un_positive_actual_dethsc))) /\ ((mdr_c_positive_actual_dethscrc = ((mdr_a_positive_actual_dethscrc) + (mdr_b_positive_actual_dethscrc)) * S ((mdr_a_positive_actual_dethscrc) + (mdr_b_positive_actual_dethscrc)) + ((mdr_b_positive_actual_dethscrc) + (mdr_b_positive_actual_dethscrc))) /\ ((mdr_e_positive_actual_dethscrc = ((mdr_p_positive_actual_dethsc) + (mdr_n_positive_actual_dethsc)) * S ((mdr_p_positive_actual_dethsc) + (mdr_n_positive_actual_dethsc)) + ((mdr_n_positive_actual_dethsc) + (mdr_n_positive_actual_dethsc))) /\ ((mdr_f_positive_actual_dethscrc = ((mdr_ut_positive_actual_dethsc) + (mdr_e_positive_actual_dethscrc)) * S ((mdr_ut_positive_actual_dethsc) + (mdr_e_positive_actual_dethscrc)) + ((mdr_e_positive_actual_dethscrc) + (mdr_e_positive_actual_dethscrc))) /\ ((mdr_z_positive_actual_dethscr) = ((mdr_c_positive_actual_dethscrc) + (mdr_f_positive_actual_dethscrc)) * S ((mdr_c_positive_actual_dethscrc) + (mdr_f_positive_actual_dethscrc)) + ((mdr_f_positive_actual_dethscrc) + (mdr_f_positive_actual_dethscrc))))))))) /\ (((exists ff_h_mdr_positive_actual_dethscrb. ff_h_mdr_positive_actual_dethscrb + S (mdr_z_positive_actual_dethscr) = S ((S (mdr_i_positive_actual_dethsc)) * mdr_c_positive_actual_det)) /\ exists ff_q_mdr_positive_actual_dethscrb. mdr_b_positive_actual_det = ff_q_mdr_positive_actual_dethscrb * S ((S (mdr_i_positive_actual_dethsc)) * mdr_c_positive_actual_det) + (mdr_z_positive_actual_dethscr))))) /\ ((((forall ff_index_mdm_prefix_mdr_positive_actual_dethscm_positive. (exists ff_gap_mdm_lt_mdr_positive_actual_dethscm_positive_index_bound. ff_gap_mdm_lt_mdr_positive_actual_dethscm_positive_index_bound + S (ff_index_mdm_prefix_mdr_positive_actual_dethscm_positive) = ((mdr_q_positive_actual_deths) * (mdr_q_positive_actual_deths))) -> exists ff_row_mdm_prefix_mdr_positive_actual_dethscm_positive ff_column_mdm_prefix_mdr_positive_actual_dethscm_positive ff_value_mdm_prefix_mdr_positive_actual_dethscm_positive. (ff_index_mdm_prefix_mdr_positive_actual_dethscm_positive = (mdr_q_positive_actual_deths) * ff_row_mdm_prefix_mdr_positive_actual_dethscm_positive + ff_column_mdm_prefix_mdr_positive_actual_dethscm_positive /\ ((exists ff_gap_mdm_lt_mdr_positive_actual_dethscm_positive_column_bound. ff_gap_mdm_lt_mdr_positive_actual_dethscm_positive_column_bound + S (ff_column_mdm_prefix_mdr_positive_actual_dethscm_positive) = (mdr_q_positive_actual_deths)) /\ ((exists ff_row_mdm_cell_mdr_positive_actual_dethscm_positive_cell ff_column_mdm_cell_mdr_positive_actual_dethscm_positive_cell. (((((exists ff_gap_mdm_lt_mdr_positive_actual_dethscm_positive_cell_row_before. ff_gap_mdm_lt_mdr_positive_actual_dethscm_positive_cell_row_before + S (ff_row_mdm_prefix_mdr_positive_actual_dethscm_positive) = (0)) /\ ff_row_mdm_cell_mdr_positive_actual_dethscm_positive_cell = ff_row_mdm_prefix_mdr_positive_actual_dethscm_positive) \/ ((exists ff_gap_mdm_le_mdr_positive_actual_dethscm_positive_cell_row_after. ff_gap_mdm_le_mdr_positive_actual_dethscm_positive_cell_row_after + (0) = (ff_row_mdm_prefix_mdr_positive_actual_dethscm_positive)) /\ ff_row_mdm_cell_mdr_positive_actual_dethscm_positive_cell = S ff_row_mdm_prefix_mdr_positive_actual_dethscm_positive))) /\ (((((exists ff_gap_mdm_lt_mdr_positive_actual_dethscm_positive_cell_column_before. ff_gap_mdm_lt_mdr_positive_actual_dethscm_positive_cell_column_before + S (ff_column_mdm_prefix_mdr_positive_actual_dethscm_positive) = (mdr_j_positive_actual_dethsc)) /\ ff_column_mdm_cell_mdr_positive_actual_dethscm_positive_cell = ff_column_mdm_prefix_mdr_positive_actual_dethscm_positive) \/ ((exists ff_gap_mdm_le_mdr_positive_actual_dethscm_positive_cell_column_after. ff_gap_mdm_le_mdr_positive_actual_dethscm_positive_cell_column_after + (mdr_j_positive_actual_dethsc) = (ff_column_mdm_prefix_mdr_positive_actual_dethscm_positive)) /\ ff_column_mdm_cell_mdr_positive_actual_dethscm_positive_cell = S ff_column_mdm_prefix_mdr_positive_actual_dethscm_positive))) /\ (((exists ff_h_mdm_mdr_positive_actual_dethscm_positive_cell_source. ff_h_mdm_mdr_positive_actual_dethscm_positive_cell_source + S (ff_value_mdm_prefix_mdr_positive_actual_dethscm_positive) = S ((S ((ff_row_mdm_cell_mdr_positive_actual_dethscm_positive_cell) * (S (mdr_q_positive_actual_deths)) + (ff_column_mdm_cell_mdr_positive_actual_dethscm_positive_cell))) * mdr_pc_positive_actual_deth)) /\ exists ff_q_mdm_mdr_positive_actual_dethscm_positive_cell_source. mdr_pb_positive_actual_deth = ff_q_mdm_mdr_positive_actual_dethscm_positive_cell_source * S ((S ((ff_row_mdm_cell_mdr_positive_actual_dethscm_positive_cell) * (S (mdr_q_positive_actual_deths)) + (ff_column_mdm_cell_mdr_positive_actual_dethscm_positive_cell))) * mdr_pc_positive_actual_deth) + (ff_value_mdm_prefix_mdr_positive_actual_dethscm_positive)))))) /\ (((exists ff_h_mdm_mdr_positive_actual_dethscm_positive_target. ff_h_mdm_mdr_positive_actual_dethscm_positive_target + S (ff_value_mdm_prefix_mdr_positive_actual_dethscm_positive) = S ((S (ff_index_mdm_prefix_mdr_positive_actual_dethscm_positive)) * mdr_us_positive_actual_dethsc)) /\ exists ff_q_mdm_mdr_positive_actual_dethscm_positive_target. mdr_up_positive_actual_dethsc = ff_q_mdm_mdr_positive_actual_dethscm_positive_target * S ((S (ff_index_mdm_prefix_mdr_positive_actual_dethscm_positive)) * mdr_us_positive_actual_dethsc) + (ff_value_mdm_prefix_mdr_positive_actual_dethscm_positive))))))) /\ (forall ff_index_mdm_prefix_mdr_positive_actual_dethscm_negative. (exists ff_gap_mdm_lt_mdr_positive_actual_dethscm_negative_index_bound. ff_gap_mdm_lt_mdr_positive_actual_dethscm_negative_index_bound + S (ff_index_mdm_prefix_mdr_positive_actual_dethscm_negative) = ((mdr_q_positive_actual_deths) * (mdr_q_positive_actual_deths))) -> exists ff_row_mdm_prefix_mdr_positive_actual_dethscm_negative ff_column_mdm_prefix_mdr_positive_actual_dethscm_negative ff_value_mdm_prefix_mdr_positive_actual_dethscm_negative. (ff_index_mdm_prefix_mdr_positive_actual_dethscm_negative = (mdr_q_positive_actual_deths) * ff_row_mdm_prefix_mdr_positive_actual_dethscm_negative + ff_column_mdm_prefix_mdr_positive_actual_dethscm_negative /\ ((exists ff_gap_mdm_lt_mdr_positive_actual_dethscm_negative_column_bound. ff_gap_mdm_lt_mdr_positive_actual_dethscm_negative_column_bound + S (ff_column_mdm_prefix_mdr_positive_actual_dethscm_negative) = (mdr_q_positive_actual_deths)) /\ ((exists ff_row_mdm_cell_mdr_positive_actual_dethscm_negative_cell ff_column_mdm_cell_mdr_positive_actual_dethscm_negative_cell. (((((exists ff_gap_mdm_lt_mdr_positive_actual_dethscm_negative_cell_row_before. ff_gap_mdm_lt_mdr_positive_actual_dethscm_negative_cell_row_before + S (ff_row_mdm_prefix_mdr_positive_actual_dethscm_negative) = (0)) /\ ff_row_mdm_cell_mdr_positive_actual_dethscm_negative_cell = ff_row_mdm_prefix_mdr_positive_actual_dethscm_negative) \/ ((exists ff_gap_mdm_le_mdr_positive_actual_dethscm_negative_cell_row_after. ff_gap_mdm_le_mdr_positive_actual_dethscm_negative_cell_row_after + (0) = (ff_row_mdm_prefix_mdr_positive_actual_dethscm_negative)) /\ ff_row_mdm_cell_mdr_positive_actual_dethscm_negative_cell = S ff_row_mdm_prefix_mdr_positive_actual_dethscm_negative))) /\ (((((exists ff_gap_mdm_lt_mdr_positive_actual_dethscm_negative_cell_column_before. ff_gap_mdm_lt_mdr_positive_actual_dethscm_negative_cell_column_before + S (ff_column_mdm_prefix_mdr_positive_actual_dethscm_negative) = (mdr_j_positive_actual_dethsc)) /\ ff_column_mdm_cell_mdr_positive_actual_dethscm_negative_cell = ff_column_mdm_prefix_mdr_positive_actual_dethscm_negative) \/ ((exists ff_gap_mdm_le_mdr_positive_actual_dethscm_negative_cell_column_after. ff_gap_mdm_le_mdr_positive_actual_dethscm_negative_cell_column_after + (mdr_j_positive_actual_dethsc) = (ff_column_mdm_prefix_mdr_positive_actual_dethscm_negative)) /\ ff_column_mdm_cell_mdr_positive_actual_dethscm_negative_cell = S ff_column_mdm_prefix_mdr_positive_actual_dethscm_negative))) /\ (((exists ff_h_mdm_mdr_positive_actual_dethscm_negative_cell_source. ff_h_mdm_mdr_positive_actual_dethscm_negative_cell_source + S (ff_value_mdm_prefix_mdr_positive_actual_dethscm_negative) = S ((S ((ff_row_mdm_cell_mdr_positive_actual_dethscm_negative_cell) * (S (mdr_q_positive_actual_deths)) + (ff_column_mdm_cell_mdr_positive_actual_dethscm_negative_cell))) * mdr_nc_positive_actual_deth)) /\ exists ff_q_mdm_mdr_positive_actual_dethscm_negative_cell_source. mdr_nb_positive_actual_deth = ff_q_mdm_mdr_positive_actual_dethscm_negative_cell_source * S ((S ((ff_row_mdm_cell_mdr_positive_actual_dethscm_negative_cell) * (S (mdr_q_positive_actual_deths)) + (ff_column_mdm_cell_mdr_positive_actual_dethscm_negative_cell))) * mdr_nc_positive_actual_deth) + (ff_value_mdm_prefix_mdr_positive_actual_dethscm_negative)))))) /\ (((exists ff_h_mdm_mdr_positive_actual_dethscm_negative_target. ff_h_mdm_mdr_positive_actual_dethscm_negative_target + S (ff_value_mdm_prefix_mdr_positive_actual_dethscm_negative) = S ((S (ff_index_mdm_prefix_mdr_positive_actual_dethscm_negative)) * mdr_ut_positive_actual_dethsc)) /\ exists ff_q_mdm_mdr_positive_actual_dethscm_negative_target. mdr_un_positive_actual_dethsc = ff_q_mdm_mdr_positive_actual_dethscm_negative_target * S ((S (ff_index_mdm_prefix_mdr_positive_actual_dethscm_negative)) * mdr_ut_positive_actual_dethsc) + (ff_value_mdm_prefix_mdr_positive_actual_dethscm_negative))))))))) /\ ((((exists ff_h_mdr_positive_actual_dethscp. ff_h_mdr_positive_actual_dethscp + S (mdr_p_positive_actual_dethsc) = S ((S (mdr_j_positive_actual_dethsc)) * mdr_ec_positive_actual_deths)) /\ exists ff_q_mdr_positive_actual_dethscp. mdr_eb_positive_actual_deths = ff_q_mdr_positive_actual_dethscp * S ((S (mdr_j_positive_actual_dethsc)) * mdr_ec_positive_actual_deths) + (mdr_p_positive_actual_dethsc))) /\ (((exists ff_h_mdr_positive_actual_dethscn. ff_h_mdr_positive_actual_dethscn + S (mdr_n_positive_actual_dethsc) = S ((S (mdr_j_positive_actual_dethsc)) * mdr_fc_positive_actual_deths)) /\ exists ff_q_mdr_positive_actual_dethscn. mdr_fb_positive_actual_deths = ff_q_mdr_positive_actual_dethscn * S ((S (mdr_j_positive_actual_dethsc)) * mdr_fc_positive_actual_deths) + (mdr_n_positive_actual_dethsc)))))))) /\ (exists ff_ub_mce_fold_mdr_positive_actual_dethsf ff_uc_mce_fold_mdr_positive_actual_dethsf ff_vb_mce_fold_mdr_positive_actual_dethsf ff_vc_mce_fold_mdr_positive_actual_dethsf. ((forall ff_index_mce_alternating_mdr_positive_actual_dethsf_prefix. (exists ff_gap_mce_mdr_positive_actual_dethsf_prefix_index. ff_gap_mce_mdr_positive_actual_dethsf_prefix_index + S (ff_index_mce_alternating_mdr_positive_actual_dethsf_prefix) = (S (mdr_q_positive_actual_deths))) -> exists ff_ap_mce_alternating_mdr_positive_actual_dethsf_prefix ff_an_mce_alternating_mdr_positive_actual_dethsf_prefix ff_bp_mce_alternating_mdr_positive_actual_dethsf_prefix ff_bn_mce_alternating_mdr_positive_actual_dethsf_prefix ff_p_mce_alternating_mdr_positive_actual_dethsf_prefix ff_n_mce_alternating_mdr_positive_actual_dethsf_prefix. ((((exists ff_h_mce_mdr_positive_actual_dethsf_prefix_ap. ff_h_mce_mdr_positive_actual_dethsf_prefix_ap + S (ff_ap_mce_alternating_mdr_positive_actual_dethsf_prefix) = S ((S (ff_index_mce_alternating_mdr_positive_actual_dethsf_prefix)) * mdr_pc_positive_actual_deth)) /\ exists ff_q_mce_mdr_positive_actual_dethsf_prefix_ap. mdr_pb_positive_actual_deth = ff_q_mce_mdr_positive_actual_dethsf_prefix_ap * S ((S (ff_index_mce_alternating_mdr_positive_actual_dethsf_prefix)) * mdr_pc_positive_actual_deth) + (ff_ap_mce_alternating_mdr_positive_actual_dethsf_prefix))) /\ ((((exists ff_h_mce_mdr_positive_actual_dethsf_prefix_an. ff_h_mce_mdr_positive_actual_dethsf_prefix_an + S (ff_an_mce_alternating_mdr_positive_actual_dethsf_prefix) = S ((S (ff_index_mce_alternating_mdr_positive_actual_dethsf_prefix)) * mdr_nc_positive_actual_deth)) /\ exists ff_q_mce_mdr_positive_actual_dethsf_prefix_an. mdr_nb_positive_actual_deth = ff_q_mce_mdr_positive_actual_dethsf_prefix_an * S ((S (ff_index_mce_alternating_mdr_positive_actual_dethsf_prefix)) * mdr_nc_positive_actual_deth) + (ff_an_mce_alternating_mdr_positive_actual_dethsf_prefix))) /\ ((((exists ff_h_mce_mdr_positive_actual_dethsf_prefix_bp. ff_h_mce_mdr_positive_actual_dethsf_prefix_bp + S (ff_bp_mce_alternating_mdr_positive_actual_dethsf_prefix) = S ((S (ff_index_mce_alternating_mdr_positive_actual_dethsf_prefix)) * mdr_ec_positive_actual_deths)) /\ exists ff_q_mce_mdr_positive_actual_dethsf_prefix_bp. mdr_eb_positive_actual_deths = ff_q_mce_mdr_positive_actual_dethsf_prefix_bp * S ((S (ff_index_mce_alternating_mdr_positive_actual_dethsf_prefix)) * mdr_ec_positive_actual_deths) + (ff_bp_mce_alternating_mdr_positive_actual_dethsf_prefix))) /\ ((((exists ff_h_mce_mdr_positive_actual_dethsf_prefix_bn. ff_h_mce_mdr_positive_actual_dethsf_prefix_bn + S (ff_bn_mce_alternating_mdr_positive_actual_dethsf_prefix) = S ((S (ff_index_mce_alternating_mdr_positive_actual_dethsf_prefix)) * mdr_fc_positive_actual_deths)) /\ exists ff_q_mce_mdr_positive_actual_dethsf_prefix_bn. mdr_fb_positive_actual_deths = ff_q_mce_mdr_positive_actual_dethsf_prefix_bn * S ((S (ff_index_mce_alternating_mdr_positive_actual_dethsf_prefix)) * mdr_fc_positive_actual_deths) + (ff_bn_mce_alternating_mdr_positive_actual_dethsf_prefix))) /\ ((((exists ff_h_mce_mdr_positive_actual_dethsf_prefix_positive. ff_h_mce_mdr_positive_actual_dethsf_prefix_positive + S (ff_p_mce_alternating_mdr_positive_actual_dethsf_prefix) = S ((S (ff_index_mce_alternating_mdr_positive_actual_dethsf_prefix)) * ff_uc_mce_fold_mdr_positive_actual_dethsf)) /\ exists ff_q_mce_mdr_positive_actual_dethsf_prefix_positive. ff_ub_mce_fold_mdr_positive_actual_dethsf = ff_q_mce_mdr_positive_actual_dethsf_prefix_positive * S ((S (ff_index_mce_alternating_mdr_positive_actual_dethsf_prefix)) * ff_uc_mce_fold_mdr_positive_actual_dethsf) + (ff_p_mce_alternating_mdr_positive_actual_dethsf_prefix))) /\ ((((exists ff_h_mce_mdr_positive_actual_dethsf_prefix_negative. ff_h_mce_mdr_positive_actual_dethsf_prefix_negative + S (ff_n_mce_alternating_mdr_positive_actual_dethsf_prefix) = S ((S (ff_index_mce_alternating_mdr_positive_actual_dethsf_prefix)) * ff_vc_mce_fold_mdr_positive_actual_dethsf)) /\ exists ff_q_mce_mdr_positive_actual_dethsf_prefix_negative. ff_vb_mce_fold_mdr_positive_actual_dethsf = ff_q_mce_mdr_positive_actual_dethsf_prefix_negative * S ((S (ff_index_mce_alternating_mdr_positive_actual_dethsf_prefix)) * ff_vc_mce_fold_mdr_positive_actual_dethsf) + (ff_n_mce_alternating_mdr_positive_actual_dethsf_prefix))) /\ (((exists ff_even_mce_term_mdr_positive_actual_dethsf_prefix_term. ff_index_mce_alternating_mdr_positive_actual_dethsf_prefix = 2 * ff_even_mce_term_mdr_positive_actual_dethsf_prefix_term) /\ (ff_p_mce_alternating_mdr_positive_actual_dethsf_prefix = (ff_ap_mce_alternating_mdr_positive_actual_dethsf_prefix) * (ff_bp_mce_alternating_mdr_positive_actual_dethsf_prefix) + (ff_an_mce_alternating_mdr_positive_actual_dethsf_prefix) * (ff_bn_mce_alternating_mdr_positive_actual_dethsf_prefix) /\ ff_n_mce_alternating_mdr_positive_actual_dethsf_prefix = (ff_ap_mce_alternating_mdr_positive_actual_dethsf_prefix) * (ff_bn_mce_alternating_mdr_positive_actual_dethsf_prefix) + (ff_an_mce_alternating_mdr_positive_actual_dethsf_prefix) * (ff_bp_mce_alternating_mdr_positive_actual_dethsf_prefix))) \/ ((exists ff_odd_mce_term_mdr_positive_actual_dethsf_prefix_term. ff_index_mce_alternating_mdr_positive_actual_dethsf_prefix = 2 * ff_odd_mce_term_mdr_positive_actual_dethsf_prefix_term + 1) /\ (ff_p_mce_alternating_mdr_positive_actual_dethsf_prefix = (ff_ap_mce_alternating_mdr_positive_actual_dethsf_prefix) * (ff_bn_mce_alternating_mdr_positive_actual_dethsf_prefix) + (ff_an_mce_alternating_mdr_positive_actual_dethsf_prefix) * (ff_bp_mce_alternating_mdr_positive_actual_dethsf_prefix) /\ ff_n_mce_alternating_mdr_positive_actual_dethsf_prefix = (ff_ap_mce_alternating_mdr_positive_actual_dethsf_prefix) * (ff_bp_mce_alternating_mdr_positive_actual_dethsf_prefix) + (ff_an_mce_alternating_mdr_positive_actual_dethsf_prefix) * (ff_bn_mce_alternating_mdr_positive_actual_dethsf_prefix))))))))))) /\ ((exists ff_u_mce_mdr_positive_actual_dethsf_positive ff_v_mce_mdr_positive_actual_dethsf_positive. ((((exists ff_h_mce_mdr_positive_actual_dethsf_positive_start. ff_h_mce_mdr_positive_actual_dethsf_positive_start + S (0) = S ((S (0)) * ff_v_mce_mdr_positive_actual_dethsf_positive)) /\ exists ff_q_mce_mdr_positive_actual_dethsf_positive_start. ff_u_mce_mdr_positive_actual_dethsf_positive = ff_q_mce_mdr_positive_actual_dethsf_positive_start * S ((S (0)) * ff_v_mce_mdr_positive_actual_dethsf_positive) + (0))) /\ ((((exists ff_h_mce_mdr_positive_actual_dethsf_positive_terminal. ff_h_mce_mdr_positive_actual_dethsf_positive_terminal + S (mdr_p_positive_actual_deth) = S ((S ((S (mdr_q_positive_actual_deths)))) * ff_v_mce_mdr_positive_actual_dethsf_positive)) /\ exists ff_q_mce_mdr_positive_actual_dethsf_positive_terminal. ff_u_mce_mdr_positive_actual_dethsf_positive = ff_q_mce_mdr_positive_actual_dethsf_positive_terminal * S ((S ((S (mdr_q_positive_actual_deths)))) * ff_v_mce_mdr_positive_actual_dethsf_positive) + (mdr_p_positive_actual_deth))) /\ forall ff_i_mce_mdr_positive_actual_dethsf_positive. (exists ff_lt_mce_mdr_positive_actual_dethsf_positive_bound. ff_lt_mce_mdr_positive_actual_dethsf_positive_bound + S ff_i_mce_mdr_positive_actual_dethsf_positive = (S (mdr_q_positive_actual_deths))) -> exists ff_a_mce_mdr_positive_actual_dethsf_positive ff_r_mce_mdr_positive_actual_dethsf_positive ff_s_mce_mdr_positive_actual_dethsf_positive. ((((exists ff_h_mce_mdr_positive_actual_dethsf_positive_summand. ff_h_mce_mdr_positive_actual_dethsf_positive_summand + S (ff_a_mce_mdr_positive_actual_dethsf_positive) = S ((S (ff_i_mce_mdr_positive_actual_dethsf_positive)) * ff_uc_mce_fold_mdr_positive_actual_dethsf)) /\ exists ff_q_mce_mdr_positive_actual_dethsf_positive_summand. ff_ub_mce_fold_mdr_positive_actual_dethsf = ff_q_mce_mdr_positive_actual_dethsf_positive_summand * S ((S (ff_i_mce_mdr_positive_actual_dethsf_positive)) * ff_uc_mce_fold_mdr_positive_actual_dethsf) + (ff_a_mce_mdr_positive_actual_dethsf_positive))) /\ ((((exists ff_h_mce_mdr_positive_actual_dethsf_positive_partial. ff_h_mce_mdr_positive_actual_dethsf_positive_partial + S (ff_r_mce_mdr_positive_actual_dethsf_positive) = S ((S (ff_i_mce_mdr_positive_actual_dethsf_positive)) * ff_v_mce_mdr_positive_actual_dethsf_positive)) /\ exists ff_q_mce_mdr_positive_actual_dethsf_positive_partial. ff_u_mce_mdr_positive_actual_dethsf_positive = ff_q_mce_mdr_positive_actual_dethsf_positive_partial * S ((S (ff_i_mce_mdr_positive_actual_dethsf_positive)) * ff_v_mce_mdr_positive_actual_dethsf_positive) + (ff_r_mce_mdr_positive_actual_dethsf_positive))) /\ ((((exists ff_h_mce_mdr_positive_actual_dethsf_positive_successor. ff_h_mce_mdr_positive_actual_dethsf_positive_successor + S (ff_s_mce_mdr_positive_actual_dethsf_positive) = S ((S (S ff_i_mce_mdr_positive_actual_dethsf_positive)) * ff_v_mce_mdr_positive_actual_dethsf_positive)) /\ exists ff_q_mce_mdr_positive_actual_dethsf_positive_successor. ff_u_mce_mdr_positive_actual_dethsf_positive = ff_q_mce_mdr_positive_actual_dethsf_positive_successor * S ((S (S ff_i_mce_mdr_positive_actual_dethsf_positive)) * ff_v_mce_mdr_positive_actual_dethsf_positive) + (ff_s_mce_mdr_positive_actual_dethsf_positive))) /\ ff_s_mce_mdr_positive_actual_dethsf_positive = ff_r_mce_mdr_positive_actual_dethsf_positive + ff_a_mce_mdr_positive_actual_dethsf_positive)))))) /\ (exists ff_u_mce_mdr_positive_actual_dethsf_negative ff_v_mce_mdr_positive_actual_dethsf_negative. ((((exists ff_h_mce_mdr_positive_actual_dethsf_negative_start. ff_h_mce_mdr_positive_actual_dethsf_negative_start + S (0) = S ((S (0)) * ff_v_mce_mdr_positive_actual_dethsf_negative)) /\ exists ff_q_mce_mdr_positive_actual_dethsf_negative_start. ff_u_mce_mdr_positive_actual_dethsf_negative = ff_q_mce_mdr_positive_actual_dethsf_negative_start * S ((S (0)) * ff_v_mce_mdr_positive_actual_dethsf_negative) + (0))) /\ ((((exists ff_h_mce_mdr_positive_actual_dethsf_negative_terminal. ff_h_mce_mdr_positive_actual_dethsf_negative_terminal + S (mdr_n_positive_actual_deth) = S ((S ((S (mdr_q_positive_actual_deths)))) * ff_v_mce_mdr_positive_actual_dethsf_negative)) /\ exists ff_q_mce_mdr_positive_actual_dethsf_negative_terminal. ff_u_mce_mdr_positive_actual_dethsf_negative = ff_q_mce_mdr_positive_actual_dethsf_negative_terminal * S ((S ((S (mdr_q_positive_actual_deths)))) * ff_v_mce_mdr_positive_actual_dethsf_negative) + (mdr_n_positive_actual_deth))) /\ forall ff_i_mce_mdr_positive_actual_dethsf_negative. (exists ff_lt_mce_mdr_positive_actual_dethsf_negative_bound. ff_lt_mce_mdr_positive_actual_dethsf_negative_bound + S ff_i_mce_mdr_positive_actual_dethsf_negative = (S (mdr_q_positive_actual_deths))) -> exists ff_a_mce_mdr_positive_actual_dethsf_negative ff_r_mce_mdr_positive_actual_dethsf_negative ff_s_mce_mdr_positive_actual_dethsf_negative. ((((exists ff_h_mce_mdr_positive_actual_dethsf_negative_summand. ff_h_mce_mdr_positive_actual_dethsf_negative_summand + S (ff_a_mce_mdr_positive_actual_dethsf_negative) = S ((S (ff_i_mce_mdr_positive_actual_dethsf_negative)) * ff_vc_mce_fold_mdr_positive_actual_dethsf)) /\ exists ff_q_mce_mdr_positive_actual_dethsf_negative_summand. ff_vb_mce_fold_mdr_positive_actual_dethsf = ff_q_mce_mdr_positive_actual_dethsf_negative_summand * S ((S (ff_i_mce_mdr_positive_actual_dethsf_negative)) * ff_vc_mce_fold_mdr_positive_actual_dethsf) + (ff_a_mce_mdr_positive_actual_dethsf_negative))) /\ ((((exists ff_h_mce_mdr_positive_actual_dethsf_negative_partial. ff_h_mce_mdr_positive_actual_dethsf_negative_partial + S (ff_r_mce_mdr_positive_actual_dethsf_negative) = S ((S (ff_i_mce_mdr_positive_actual_dethsf_negative)) * ff_v_mce_mdr_positive_actual_dethsf_negative)) /\ exists ff_q_mce_mdr_positive_actual_dethsf_negative_partial. ff_u_mce_mdr_positive_actual_dethsf_negative = ff_q_mce_mdr_positive_actual_dethsf_negative_partial * S ((S (ff_i_mce_mdr_positive_actual_dethsf_negative)) * ff_v_mce_mdr_positive_actual_dethsf_negative) + (ff_r_mce_mdr_positive_actual_dethsf_negative))) /\ ((((exists ff_h_mce_mdr_positive_actual_dethsf_negative_successor. ff_h_mce_mdr_positive_actual_dethsf_negative_successor + S (ff_s_mce_mdr_positive_actual_dethsf_negative) = S ((S (S ff_i_mce_mdr_positive_actual_dethsf_negative)) * ff_v_mce_mdr_positive_actual_dethsf_negative)) /\ exists ff_q_mce_mdr_positive_actual_dethsf_negative_successor. ff_u_mce_mdr_positive_actual_dethsf_negative = ff_q_mce_mdr_positive_actual_dethsf_negative_successor * S ((S (S ff_i_mce_mdr_positive_actual_dethsf_negative)) * ff_v_mce_mdr_positive_actual_dethsf_negative) + (ff_s_mce_mdr_positive_actual_dethsf_negative))) /\ ff_s_mce_mdr_positive_actual_dethsf_negative = ff_r_mce_mdr_positive_actual_dethsf_negative + ff_a_mce_mdr_positive_actual_dethsf_negative))))))))))))))) /\ ((exists mdr_gap_positive_actual_deti. mdr_gap_positive_actual_deti + S (mdr_i_positive_actual_det) = (mdr_l_positive_actual_det)) /\ (exists mdr_z_positive_actual_detr. ((exists mdr_a_positive_actual_detrc mdr_b_positive_actual_detrc mdr_c_positive_actual_detrc mdr_e_positive_actual_detrc mdr_f_positive_actual_detrc. ((mdr_a_positive_actual_detrc = ((d) + (ab)) * S ((d) + (ab)) + ((ab) + (ab))) /\ ((mdr_b_positive_actual_detrc = ((ac) + (bb)) * S ((ac) + (bb)) + ((bb) + (bb))) /\ ((mdr_c_positive_actual_detrc = ((mdr_a_positive_actual_detrc) + (mdr_b_positive_actual_detrc)) * S ((mdr_a_positive_actual_detrc) + (mdr_b_positive_actual_detrc)) + ((mdr_b_positive_actual_detrc) + (mdr_b_positive_actual_detrc))) /\ ((mdr_e_positive_actual_detrc = ((p) + (n)) * S ((p) + (n)) + ((n) + (n))) /\ ((mdr_f_positive_actual_detrc = ((bc) + (mdr_e_positive_actual_detrc)) * S ((bc) + (mdr_e_positive_actual_detrc)) + ((mdr_e_positive_actual_detrc) + (mdr_e_positive_actual_detrc))) /\ ((mdr_z_positive_actual_detr) = ((mdr_c_positive_actual_detrc) + (mdr_f_positive_actual_detrc)) * S ((mdr_c_positive_actual_detrc) + (mdr_f_positive_actual_detrc)) + ((mdr_f_positive_actual_detrc) + (mdr_f_positive_actual_detrc))))))))) /\ (((exists ff_h_mdr_positive_actual_detrb. ff_h_mdr_positive_actual_detrb + S (mdr_z_positive_actual_detr) = S ((S (mdr_i_positive_actual_det)) * mdr_c_positive_actual_det)) /\ exists ff_q_mdr_positive_actual_detrb. mdr_b_positive_actual_det = ff_q_mdr_positive_actual_detrb * S ((S (mdr_i_positive_actual_det)) * mdr_c_positive_actual_det) + (mdr_z_positive_actual_detr)))))))) /\ (~(p = n))))