signed_rectangular_row_sums_lookup

forall F R o s t m n i z. (((exists dst_positive_code_lookup_rowssource_table dst_positive_scale_lookup_rowssource_table dst_negative_code_lookup_rowssource_table dst_negative_scale_lookup_rowssource_table. (((F) = (((((dst_positive_code_lookup_rowssource_table) + (dst_positive_scale_lookup_rowssource_table)) * S ((dst_positive_code_lookup_rowssource_table) + (dst_positive_scale_lookup_rowssource_table)) + ((dst_positive_scale_lookup_rowssource_table) + (dst_positive_scale_lookup_rowssource_table))) + (((dst_negative_code_lookup_rowssource_table) + (dst_negative_scale_lookup_rowssource_table)) * S ((dst_negative_code_lookup_rowssource_table) + (dst_negative_scale_lookup_rowssource_table)) + ((dst_negative_scale_lookup_rowssource_table) + (dst_negative_scale_lookup_rowssource_table)))) * S ((((dst_positive_code_lookup_rowssource_table) + (dst_positive_scale_lookup_rowssource_table)) * S ((dst_positive_code_lookup_rowssource_table) + (dst_positive_scale_lookup_rowssource_table)) + ((dst_positive_scale_lookup_rowssource_table) + (dst_positive_scale_lookup_rowssource_table))) + (((dst_negative_code_lookup_rowssource_table) + (dst_negative_scale_lookup_rowssource_table)) * S ((dst_negative_code_lookup_rowssource_table) + (dst_negative_scale_lookup_rowssource_table)) + ((dst_negative_scale_lookup_rowssource_table) + (dst_negative_scale_lookup_rowssource_table)))) + ((((dst_negative_code_lookup_rowssource_table) + (dst_negative_scale_lookup_rowssource_table)) * S ((dst_negative_code_lookup_rowssource_table) + (dst_negative_scale_lookup_rowssource_table)) + ((dst_negative_scale_lookup_rowssource_table) + (dst_negative_scale_lookup_rowssource_table))) + (((dst_negative_code_lookup_rowssource_table) + (dst_negative_scale_lookup_rowssource_table)) * S ((dst_negative_code_lookup_rowssource_table) + (dst_negative_scale_lookup_rowssource_table)) + ((dst_negative_scale_lookup_rowssource_table) + (dst_negative_scale_lookup_rowssource_table)))))) /\ (forall dst_index_lookup_rowssource_table. (exists pvs_le_gap_lookup_rowssource_tabledomain. pvs_le_gap_lookup_rowssource_tabledomain + (dst_index_lookup_rowssource_table) = (0)) -> exists dst_positive_lookup_rowssource_table dst_negative_lookup_rowssource_table dst_value_lookup_rowssource_table. ((((exists ff_h_pvs_lookup_rowssource_tableentrypositive. ff_h_pvs_lookup_rowssource_tableentrypositive + S (dst_positive_lookup_rowssource_table) = S ((S (dst_index_lookup_rowssource_table)) * dst_positive_scale_lookup_rowssource_table)) /\ exists ff_q_pvs_lookup_rowssource_tableentrypositive. dst_positive_code_lookup_rowssource_table = ff_q_pvs_lookup_rowssource_tableentrypositive * S ((S (dst_index_lookup_rowssource_table)) * dst_positive_scale_lookup_rowssource_table) + (dst_positive_lookup_rowssource_table))) /\ (((((exists ff_h_pvs_lookup_rowssource_tableentrynegative. ff_h_pvs_lookup_rowssource_tableentrynegative + S (dst_negative_lookup_rowssource_table) = S ((S (dst_index_lookup_rowssource_table)) * dst_negative_scale_lookup_rowssource_table)) /\ exists ff_q_pvs_lookup_rowssource_tableentrynegative. dst_negative_code_lookup_rowssource_table = ff_q_pvs_lookup_rowssource_tableentrynegative * S ((S (dst_index_lookup_rowssource_table)) * dst_negative_scale_lookup_rowssource_table) + (dst_negative_lookup_rowssource_table))) /\ (exists ge_balance_positive_lookup_rowssource_tableentryvalue ge_balance_negative_lookup_rowssource_tableentryvalue. (((((dst_value_lookup_rowssource_table) = 2 * (ge_balance_positive_lookup_rowssource_tableentryvalue) /\ (ge_balance_negative_lookup_rowssource_tableentryvalue) = 0) \/ exists ge_signed_half_lookup_rowssource_tableentryvaluedecode. (((dst_value_lookup_rowssource_table) = 2 * ge_signed_half_lookup_rowssource_tableentryvaluedecode + 1 /\ (ge_balance_positive_lookup_rowssource_tableentryvalue) = 0) /\ (ge_balance_negative_lookup_rowssource_tableentryvalue) = S ge_signed_half_lookup_rowssource_tableentryvaluedecode))) /\ ((dst_positive_lookup_rowssource_table) + ge_balance_negative_lookup_rowssource_tableentryvalue = (dst_negative_lookup_rowssource_table) + ge_balance_positive_lookup_rowssource_tableentryvalue))))))))) /\ (((exists dst_positive_code_lookup_rowsrow_table dst_positive_scale_lookup_rowsrow_table dst_negative_code_lookup_rowsrow_table dst_negative_scale_lookup_rowsrow_table. (((R) = (((((dst_positive_code_lookup_rowsrow_table) + (dst_positive_scale_lookup_rowsrow_table)) * S ((dst_positive_code_lookup_rowsrow_table) + (dst_positive_scale_lookup_rowsrow_table)) + ((dst_positive_scale_lookup_rowsrow_table) + (dst_positive_scale_lookup_rowsrow_table))) + (((dst_negative_code_lookup_rowsrow_table) + (dst_negative_scale_lookup_rowsrow_table)) * S ((dst_negative_code_lookup_rowsrow_table) + (dst_negative_scale_lookup_rowsrow_table)) + ((dst_negative_scale_lookup_rowsrow_table) + (dst_negative_scale_lookup_rowsrow_table)))) * S ((((dst_positive_code_lookup_rowsrow_table) + (dst_positive_scale_lookup_rowsrow_table)) * S ((dst_positive_code_lookup_rowsrow_table) + (dst_positive_scale_lookup_rowsrow_table)) + ((dst_positive_scale_lookup_rowsrow_table) + (dst_positive_scale_lookup_rowsrow_table))) + (((dst_negative_code_lookup_rowsrow_table) + (dst_negative_scale_lookup_rowsrow_table)) * S ((dst_negative_code_lookup_rowsrow_table) + (dst_negative_scale_lookup_rowsrow_table)) + ((dst_negative_scale_lookup_rowsrow_table) + (dst_negative_scale_lookup_rowsrow_table)))) + ((((dst_negative_code_lookup_rowsrow_table) + (dst_negative_scale_lookup_rowsrow_table)) * S ((dst_negative_code_lookup_rowsrow_table) + (dst_negative_scale_lookup_rowsrow_table)) + ((dst_negative_scale_lookup_rowsrow_table) + (dst_negative_scale_lookup_rowsrow_table))) + (((dst_negative_code_lookup_rowsrow_table) + (dst_negative_scale_lookup_rowsrow_table)) * S ((dst_negative_code_lookup_rowsrow_table) + (dst_negative_scale_lookup_rowsrow_table)) + ((dst_negative_scale_lookup_rowsrow_table) + (dst_negative_scale_lookup_rowsrow_table)))))) /\ (forall dst_index_lookup_rowsrow_table. (exists pvs_le_gap_lookup_rowsrow_tabledomain. pvs_le_gap_lookup_rowsrow_tabledomain + (dst_index_lookup_rowsrow_table) = (m)) -> exists dst_positive_lookup_rowsrow_table dst_negative_lookup_rowsrow_table dst_value_lookup_rowsrow_table. ((((exists ff_h_pvs_lookup_rowsrow_tableentrypositive. ff_h_pvs_lookup_rowsrow_tableentrypositive + S (dst_positive_lookup_rowsrow_table) = S ((S (dst_index_lookup_rowsrow_table)) * dst_positive_scale_lookup_rowsrow_table)) /\ exists ff_q_pvs_lookup_rowsrow_tableentrypositive. dst_positive_code_lookup_rowsrow_table = ff_q_pvs_lookup_rowsrow_tableentrypositive * S ((S (dst_index_lookup_rowsrow_table)) * dst_positive_scale_lookup_rowsrow_table) + (dst_positive_lookup_rowsrow_table))) /\ (((((exists ff_h_pvs_lookup_rowsrow_tableentrynegative. ff_h_pvs_lookup_rowsrow_tableentrynegative + S (dst_negative_lookup_rowsrow_table) = S ((S (dst_index_lookup_rowsrow_table)) * dst_negative_scale_lookup_rowsrow_table)) /\ exists ff_q_pvs_lookup_rowsrow_tableentrynegative. dst_negative_code_lookup_rowsrow_table = ff_q_pvs_lookup_rowsrow_tableentrynegative * S ((S (dst_index_lookup_rowsrow_table)) * dst_negative_scale_lookup_rowsrow_table) + (dst_negative_lookup_rowsrow_table))) /\ (exists ge_balance_positive_lookup_rowsrow_tableentryvalue ge_balance_negative_lookup_rowsrow_tableentryvalue. (((((dst_value_lookup_rowsrow_table) = 2 * (ge_balance_positive_lookup_rowsrow_tableentryvalue) /\ (ge_balance_negative_lookup_rowsrow_tableentryvalue) = 0) \/ exists ge_signed_half_lookup_rowsrow_tableentryvaluedecode. (((dst_value_lookup_rowsrow_table) = 2 * ge_signed_half_lookup_rowsrow_tableentryvaluedecode + 1 /\ (ge_balance_positive_lookup_rowsrow_tableentryvalue) = 0) /\ (ge_balance_negative_lookup_rowsrow_tableentryvalue) = S ge_signed_half_lookup_rowsrow_tableentryvaluedecode))) /\ ((dst_positive_lookup_rowsrow_table) + ge_balance_negative_lookup_rowsrow_tableentryvalue = (dst_negative_lookup_rowsrow_table) + ge_balance_positive_lookup_rowsrow_tableentryvalue))))))))) /\ (forall srt_index_lookup_rows. (exists pvs_gap_lookup_rowsbound. pvs_gap_lookup_rowsbound + S (srt_index_lookup_rows) = (m)) -> exists srt_value_lookup_rows. (((exists dst_positive_code_lookup_rowsrowentry dst_positive_scale_lookup_rowsrowentry dst_negative_code_lookup_rowsrowentry dst_negative_scale_lookup_rowsrowentry dst_positive_lookup_rowsrowentry dst_negative_lookup_rowsrowentry. (((R) = (((((dst_positive_code_lookup_rowsrowentry) + (dst_positive_scale_lookup_rowsrowentry)) * S ((dst_positive_code_lookup_rowsrowentry) + (dst_positive_scale_lookup_rowsrowentry)) + ((dst_positive_scale_lookup_rowsrowentry) + (dst_positive_scale_lookup_rowsrowentry))) + (((dst_negative_code_lookup_rowsrowentry) + (dst_negative_scale_lookup_rowsrowentry)) * S ((dst_negative_code_lookup_rowsrowentry) + (dst_negative_scale_lookup_rowsrowentry)) + ((dst_negative_scale_lookup_rowsrowentry) + (dst_negative_scale_lookup_rowsrowentry)))) * S ((((dst_positive_code_lookup_rowsrowentry) + (dst_positive_scale_lookup_rowsrowentry)) * S ((dst_positive_code_lookup_rowsrowentry) + (dst_positive_scale_lookup_rowsrowentry)) + ((dst_positive_scale_lookup_rowsrowentry) + (dst_positive_scale_lookup_rowsrowentry))) + (((dst_negative_code_lookup_rowsrowentry) + (dst_negative_scale_lookup_rowsrowentry)) * S ((dst_negative_code_lookup_rowsrowentry) + (dst_negative_scale_lookup_rowsrowentry)) + ((dst_negative_scale_lookup_rowsrowentry) + (dst_negative_scale_lookup_rowsrowentry)))) + ((((dst_negative_code_lookup_rowsrowentry) + (dst_negative_scale_lookup_rowsrowentry)) * S ((dst_negative_code_lookup_rowsrowentry) + (dst_negative_scale_lookup_rowsrowentry)) + ((dst_negative_scale_lookup_rowsrowentry) + (dst_negative_scale_lookup_rowsrowentry))) + (((dst_negative_code_lookup_rowsrowentry) + (dst_negative_scale_lookup_rowsrowentry)) * S ((dst_negative_code_lookup_rowsrowentry) + (dst_negative_scale_lookup_rowsrowentry)) + ((dst_negative_scale_lookup_rowsrowentry) + (dst_negative_scale_lookup_rowsrowentry)))))) /\ (((((exists ff_h_pvs_lookup_rowsrowentrypositive. ff_h_pvs_lookup_rowsrowentrypositive + S (dst_positive_lookup_rowsrowentry) = S ((S (srt_index_lookup_rows)) * dst_positive_scale_lookup_rowsrowentry)) /\ exists ff_q_pvs_lookup_rowsrowentrypositive. dst_positive_code_lookup_rowsrowentry = ff_q_pvs_lookup_rowsrowentrypositive * S ((S (srt_index_lookup_rows)) * dst_positive_scale_lookup_rowsrowentry) + (dst_positive_lookup_rowsrowentry))) /\ (((((exists ff_h_pvs_lookup_rowsrowentrynegative. ff_h_pvs_lookup_rowsrowentrynegative + S (dst_negative_lookup_rowsrowentry) = S ((S (srt_index_lookup_rows)) * dst_negative_scale_lookup_rowsrowentry)) /\ exists ff_q_pvs_lookup_rowsrowentrynegative. dst_negative_code_lookup_rowsrowentry = ff_q_pvs_lookup_rowsrowentrynegative * S ((S (srt_index_lookup_rows)) * dst_negative_scale_lookup_rowsrowentry) + (dst_negative_lookup_rowsrowentry))) /\ (exists ge_balance_positive_lookup_rowsrowentryvalue ge_balance_negative_lookup_rowsrowentryvalue. (((((srt_value_lookup_rows) = 2 * (ge_balance_positive_lookup_rowsrowentryvalue) /\ (ge_balance_negative_lookup_rowsrowentryvalue) = 0) \/ exists ge_signed_half_lookup_rowsrowentryvaluedecode. (((srt_value_lookup_rows) = 2 * ge_signed_half_lookup_rowsrowentryvaluedecode + 1 /\ (ge_balance_positive_lookup_rowsrowentryvalue) = 0) /\ (ge_balance_negative_lookup_rowsrowentryvalue) = S ge_signed_half_lookup_rowsrowentryvaluedecode))) /\ ((dst_positive_lookup_rowsrowentry) + ge_balance_negative_lookup_rowsrowentryvalue = (dst_negative_lookup_rowsrowentry) + ge_balance_positive_lookup_rowsrowentryvalue))))))))) /\ (exists srs_slice_lookup_rowsrowrow_sum. ((((exists dst_positive_code_lookup_rowsrowrow_sumslicesource_table dst_positive_scale_lookup_rowsrowrow_sumslicesource_table dst_negative_code_lookup_rowsrowrow_sumslicesource_table dst_negative_scale_lookup_rowsrowrow_sumslicesource_table. (((F) = (((((dst_positive_code_lookup_rowsrowrow_sumslicesource_table) + (dst_positive_scale_lookup_rowsrowrow_sumslicesource_table)) * S ((dst_positive_code_lookup_rowsrowrow_sumslicesource_table) + (dst_positive_scale_lookup_rowsrowrow_sumslicesource_table)) + ((dst_positive_scale_lookup_rowsrowrow_sumslicesource_table) + (dst_positive_scale_lookup_rowsrowrow_sumslicesource_table))) + (((dst_negative_code_lookup_rowsrowrow_sumslicesource_table) + (dst_negative_scale_lookup_rowsrowrow_sumslicesource_table)) * S ((dst_negative_code_lookup_rowsrowrow_sumslicesource_table) + (dst_negative_scale_lookup_rowsrowrow_sumslicesource_table)) + ((dst_negative_scale_lookup_rowsrowrow_sumslicesource_table) + (dst_negative_scale_lookup_rowsrowrow_sumslicesource_table)))) * S ((((dst_positive_code_lookup_rowsrowrow_sumslicesource_table) + (dst_positive_scale_lookup_rowsrowrow_sumslicesource_table)) * S ((dst_positive_code_lookup_rowsrowrow_sumslicesource_table) + (dst_positive_scale_lookup_rowsrowrow_sumslicesource_table)) + ((dst_positive_scale_lookup_rowsrowrow_sumslicesource_table) + (dst_positive_scale_lookup_rowsrowrow_sumslicesource_table))) + (((dst_negative_code_lookup_rowsrowrow_sumslicesource_table) + (dst_negative_scale_lookup_rowsrowrow_sumslicesource_table)) * S ((dst_negative_code_lookup_rowsrowrow_sumslicesource_table) + (dst_negative_scale_lookup_rowsrowrow_sumslicesource_table)) + ((dst_negative_scale_lookup_rowsrowrow_sumslicesource_table) + (dst_negative_scale_lookup_rowsrowrow_sumslicesource_table)))) + ((((dst_negative_code_lookup_rowsrowrow_sumslicesource_table) + (dst_negative_scale_lookup_rowsrowrow_sumslicesource_table)) * S ((dst_negative_code_lookup_rowsrowrow_sumslicesource_table) + (dst_negative_scale_lookup_rowsrowrow_sumslicesource_table)) + ((dst_negative_scale_lookup_rowsrowrow_sumslicesource_table) + (dst_negative_scale_lookup_rowsrowrow_sumslicesource_table))) + (((dst_negative_code_lookup_rowsrowrow_sumslicesource_table) + (dst_negative_scale_lookup_rowsrowrow_sumslicesource_table)) * S ((dst_negative_code_lookup_rowsrowrow_sumslicesource_table) + (dst_negative_scale_lookup_rowsrowrow_sumslicesource_table)) + ((dst_negative_scale_lookup_rowsrowrow_sumslicesource_table) + (dst_negative_scale_lookup_rowsrowrow_sumslicesource_table)))))) /\ (forall dst_index_lookup_rowsrowrow_sumslicesource_table. (exists pvs_le_gap_lookup_rowsrowrow_sumslicesource_tabledomain. pvs_le_gap_lookup_rowsrowrow_sumslicesource_tabledomain + (dst_index_lookup_rowsrowrow_sumslicesource_table) = (0)) -> exists dst_positive_lookup_rowsrowrow_sumslicesource_table dst_negative_lookup_rowsrowrow_sumslicesource_table dst_value_lookup_rowsrowrow_sumslicesource_table. ((((exists ff_h_pvs_lookup_rowsrowrow_sumslicesource_tableentrypositive. ff_h_pvs_lookup_rowsrowrow_sumslicesource_tableentrypositive + S (dst_positive_lookup_rowsrowrow_sumslicesource_table) = S ((S (dst_index_lookup_rowsrowrow_sumslicesource_table)) * dst_positive_scale_lookup_rowsrowrow_sumslicesource_table)) /\ exists ff_q_pvs_lookup_rowsrowrow_sumslicesource_tableentrypositive. dst_positive_code_lookup_rowsrowrow_sumslicesource_table = ff_q_pvs_lookup_rowsrowrow_sumslicesource_tableentrypositive * S ((S (dst_index_lookup_rowsrowrow_sumslicesource_table)) * dst_positive_scale_lookup_rowsrowrow_sumslicesource_table) + (dst_positive_lookup_rowsrowrow_sumslicesource_table))) /\ (((((exists ff_h_pvs_lookup_rowsrowrow_sumslicesource_tableentrynegative. ff_h_pvs_lookup_rowsrowrow_sumslicesource_tableentrynegative + S (dst_negative_lookup_rowsrowrow_sumslicesource_table) = S ((S (dst_index_lookup_rowsrowrow_sumslicesource_table)) * dst_negative_scale_lookup_rowsrowrow_sumslicesource_table)) /\ exists ff_q_pvs_lookup_rowsrowrow_sumslicesource_tableentrynegative. dst_negative_code_lookup_rowsrowrow_sumslicesource_table = ff_q_pvs_lookup_rowsrowrow_sumslicesource_tableentrynegative * S ((S (dst_index_lookup_rowsrowrow_sumslicesource_table)) * dst_negative_scale_lookup_rowsrowrow_sumslicesource_table) + (dst_negative_lookup_rowsrowrow_sumslicesource_table))) /\ (exists ge_balance_positive_lookup_rowsrowrow_sumslicesource_tableentryvalue ge_balance_negative_lookup_rowsrowrow_sumslicesource_tableentryvalue. (((((dst_value_lookup_rowsrowrow_sumslicesource_table) = 2 * (ge_balance_positive_lookup_rowsrowrow_sumslicesource_tableentryvalue) /\ (ge_balance_negative_lookup_rowsrowrow_sumslicesource_tableentryvalue) = 0) \/ exists ge_signed_half_lookup_rowsrowrow_sumslicesource_tableentryvaluedecode. (((dst_value_lookup_rowsrowrow_sumslicesource_table) = 2 * ge_signed_half_lookup_rowsrowrow_sumslicesource_tableentryvaluedecode + 1 /\ (ge_balance_positive_lookup_rowsrowrow_sumslicesource_tableentryvalue) = 0) /\ (ge_balance_negative_lookup_rowsrowrow_sumslicesource_tableentryvalue) = S ge_signed_half_lookup_rowsrowrow_sumslicesource_tableentryvaluedecode))) /\ ((dst_positive_lookup_rowsrowrow_sumslicesource_table) + ge_balance_negative_lookup_rowsrowrow_sumslicesource_tableentryvalue = (dst_negative_lookup_rowsrowrow_sumslicesource_table) + ge_balance_positive_lookup_rowsrowrow_sumslicesource_tableentryvalue))))))))) /\ (((exists dst_positive_code_lookup_rowsrowrow_sumsliceoutput_table dst_positive_scale_lookup_rowsrowrow_sumsliceoutput_table dst_negative_code_lookup_rowsrowrow_sumsliceoutput_table dst_negative_scale_lookup_rowsrowrow_sumsliceoutput_table. (((srs_slice_lookup_rowsrowrow_sum) = (((((dst_positive_code_lookup_rowsrowrow_sumsliceoutput_table) + (dst_positive_scale_lookup_rowsrowrow_sumsliceoutput_table)) * S ((dst_positive_code_lookup_rowsrowrow_sumsliceoutput_table) + (dst_positive_scale_lookup_rowsrowrow_sumsliceoutput_table)) + ((dst_positive_scale_lookup_rowsrowrow_sumsliceoutput_table) + (dst_positive_scale_lookup_rowsrowrow_sumsliceoutput_table))) + (((dst_negative_code_lookup_rowsrowrow_sumsliceoutput_table) + (dst_negative_scale_lookup_rowsrowrow_sumsliceoutput_table)) * S ((dst_negative_code_lookup_rowsrowrow_sumsliceoutput_table) + (dst_negative_scale_lookup_rowsrowrow_sumsliceoutput_table)) + ((dst_negative_scale_lookup_rowsrowrow_sumsliceoutput_table) + (dst_negative_scale_lookup_rowsrowrow_sumsliceoutput_table)))) * S ((((dst_positive_code_lookup_rowsrowrow_sumsliceoutput_table) + (dst_positive_scale_lookup_rowsrowrow_sumsliceoutput_table)) * S ((dst_positive_code_lookup_rowsrowrow_sumsliceoutput_table) + (dst_positive_scale_lookup_rowsrowrow_sumsliceoutput_table)) + ((dst_positive_scale_lookup_rowsrowrow_sumsliceoutput_table) + (dst_positive_scale_lookup_rowsrowrow_sumsliceoutput_table))) + (((dst_negative_code_lookup_rowsrowrow_sumsliceoutput_table) + (dst_negative_scale_lookup_rowsrowrow_sumsliceoutput_table)) * S ((dst_negative_code_lookup_rowsrowrow_sumsliceoutput_table) + (dst_negative_scale_lookup_rowsrowrow_sumsliceoutput_table)) + ((dst_negative_scale_lookup_rowsrowrow_sumsliceoutput_table) + (dst_negative_scale_lookup_rowsrowrow_sumsliceoutput_table)))) + ((((dst_negative_code_lookup_rowsrowrow_sumsliceoutput_table) + (dst_negative_scale_lookup_rowsrowrow_sumsliceoutput_table)) * S ((dst_negative_code_lookup_rowsrowrow_sumsliceoutput_table) + (dst_negative_scale_lookup_rowsrowrow_sumsliceoutput_table)) + ((dst_negative_scale_lookup_rowsrowrow_sumsliceoutput_table) + (dst_negative_scale_lookup_rowsrowrow_sumsliceoutput_table))) + (((dst_negative_code_lookup_rowsrowrow_sumsliceoutput_table) + (dst_negative_scale_lookup_rowsrowrow_sumsliceoutput_table)) * S ((dst_negative_code_lookup_rowsrowrow_sumsliceoutput_table) + (dst_negative_scale_lookup_rowsrowrow_sumsliceoutput_table)) + ((dst_negative_scale_lookup_rowsrowrow_sumsliceoutput_table) + (dst_negative_scale_lookup_rowsrowrow_sumsliceoutput_table)))))) /\ (forall dst_index_lookup_rowsrowrow_sumsliceoutput_table. (exists pvs_le_gap_lookup_rowsrowrow_sumsliceoutput_tabledomain. pvs_le_gap_lookup_rowsrowrow_sumsliceoutput_tabledomain + (dst_index_lookup_rowsrowrow_sumsliceoutput_table) = (n)) -> exists dst_positive_lookup_rowsrowrow_sumsliceoutput_table dst_negative_lookup_rowsrowrow_sumsliceoutput_table dst_value_lookup_rowsrowrow_sumsliceoutput_table. ((((exists ff_h_pvs_lookup_rowsrowrow_sumsliceoutput_tableentrypositive. ff_h_pvs_lookup_rowsrowrow_sumsliceoutput_tableentrypositive + S (dst_positive_lookup_rowsrowrow_sumsliceoutput_table) = S ((S (dst_index_lookup_rowsrowrow_sumsliceoutput_table)) * dst_positive_scale_lookup_rowsrowrow_sumsliceoutput_table)) /\ exists ff_q_pvs_lookup_rowsrowrow_sumsliceoutput_tableentrypositive. dst_positive_code_lookup_rowsrowrow_sumsliceoutput_table = ff_q_pvs_lookup_rowsrowrow_sumsliceoutput_tableentrypositive * S ((S (dst_index_lookup_rowsrowrow_sumsliceoutput_table)) * dst_positive_scale_lookup_rowsrowrow_sumsliceoutput_table) + (dst_positive_lookup_rowsrowrow_sumsliceoutput_table))) /\ (((((exists ff_h_pvs_lookup_rowsrowrow_sumsliceoutput_tableentrynegative. ff_h_pvs_lookup_rowsrowrow_sumsliceoutput_tableentrynegative + S (dst_negative_lookup_rowsrowrow_sumsliceoutput_table) = S ((S (dst_index_lookup_rowsrowrow_sumsliceoutput_table)) * dst_negative_scale_lookup_rowsrowrow_sumsliceoutput_table)) /\ exists ff_q_pvs_lookup_rowsrowrow_sumsliceoutput_tableentrynegative. dst_negative_code_lookup_rowsrowrow_sumsliceoutput_table = ff_q_pvs_lookup_rowsrowrow_sumsliceoutput_tableentrynegative * S ((S (dst_index_lookup_rowsrowrow_sumsliceoutput_table)) * dst_negative_scale_lookup_rowsrowrow_sumsliceoutput_table) + (dst_negative_lookup_rowsrowrow_sumsliceoutput_table))) /\ (exists ge_balance_positive_lookup_rowsrowrow_sumsliceoutput_tableentryvalue ge_balance_negative_lookup_rowsrowrow_sumsliceoutput_tableentryvalue. (((((dst_value_lookup_rowsrowrow_sumsliceoutput_table) = 2 * (ge_balance_positive_lookup_rowsrowrow_sumsliceoutput_tableentryvalue) /\ (ge_balance_negative_lookup_rowsrowrow_sumsliceoutput_tableentryvalue) = 0) \/ exists ge_signed_half_lookup_rowsrowrow_sumsliceoutput_tableentryvaluedecode. (((dst_value_lookup_rowsrowrow_sumsliceoutput_table) = 2 * ge_signed_half_lookup_rowsrowrow_sumsliceoutput_tableentryvaluedecode + 1 /\ (ge_balance_positive_lookup_rowsrowrow_sumsliceoutput_tableentryvalue) = 0) /\ (ge_balance_negative_lookup_rowsrowrow_sumsliceoutput_tableentryvalue) = S ge_signed_half_lookup_rowsrowrow_sumsliceoutput_tableentryvaluedecode))) /\ ((dst_positive_lookup_rowsrowrow_sumsliceoutput_table) + ge_balance_negative_lookup_rowsrowrow_sumsliceoutput_tableentryvalue = (dst_negative_lookup_rowsrowrow_sumsliceoutput_table) + ge_balance_positive_lookup_rowsrowrow_sumsliceoutput_tableentryvalue))))))))) /\ (forall srs_index_lookup_rowsrowrow_sumslice. (exists pvs_gap_lookup_rowsrowrow_sumslicebound. pvs_gap_lookup_rowsrowrow_sumslicebound + S (srs_index_lookup_rowsrowrow_sumslice) = (n)) -> exists srs_value_lookup_rowsrowrow_sumslice. (((exists dst_positive_code_lookup_rowsrowrow_sumsliceentrysource dst_positive_scale_lookup_rowsrowrow_sumsliceentrysource dst_negative_code_lookup_rowsrowrow_sumsliceentrysource dst_negative_scale_lookup_rowsrowrow_sumsliceentrysource dst_positive_lookup_rowsrowrow_sumsliceentrysource dst_negative_lookup_rowsrowrow_sumsliceentrysource. (((F) = (((((dst_positive_code_lookup_rowsrowrow_sumsliceentrysource) + (dst_positive_scale_lookup_rowsrowrow_sumsliceentrysource)) * S ((dst_positive_code_lookup_rowsrowrow_sumsliceentrysource) + (dst_positive_scale_lookup_rowsrowrow_sumsliceentrysource)) + ((dst_positive_scale_lookup_rowsrowrow_sumsliceentrysource) + (dst_positive_scale_lookup_rowsrowrow_sumsliceentrysource))) + (((dst_negative_code_lookup_rowsrowrow_sumsliceentrysource) + (dst_negative_scale_lookup_rowsrowrow_sumsliceentrysource)) * S ((dst_negative_code_lookup_rowsrowrow_sumsliceentrysource) + (dst_negative_scale_lookup_rowsrowrow_sumsliceentrysource)) + ((dst_negative_scale_lookup_rowsrowrow_sumsliceentrysource) + (dst_negative_scale_lookup_rowsrowrow_sumsliceentrysource)))) * S ((((dst_positive_code_lookup_rowsrowrow_sumsliceentrysource) + (dst_positive_scale_lookup_rowsrowrow_sumsliceentrysource)) * S ((dst_positive_code_lookup_rowsrowrow_sumsliceentrysource) + (dst_positive_scale_lookup_rowsrowrow_sumsliceentrysource)) + ((dst_positive_scale_lookup_rowsrowrow_sumsliceentrysource) + (dst_positive_scale_lookup_rowsrowrow_sumsliceentrysource))) + (((dst_negative_code_lookup_rowsrowrow_sumsliceentrysource) + (dst_negative_scale_lookup_rowsrowrow_sumsliceentrysource)) * S ((dst_negative_code_lookup_rowsrowrow_sumsliceentrysource) + (dst_negative_scale_lookup_rowsrowrow_sumsliceentrysource)) + ((dst_negative_scale_lookup_rowsrowrow_sumsliceentrysource) + (dst_negative_scale_lookup_rowsrowrow_sumsliceentrysource)))) + ((((dst_negative_code_lookup_rowsrowrow_sumsliceentrysource) + (dst_negative_scale_lookup_rowsrowrow_sumsliceentrysource)) * S ((dst_negative_code_lookup_rowsrowrow_sumsliceentrysource) + (dst_negative_scale_lookup_rowsrowrow_sumsliceentrysource)) + ((dst_negative_scale_lookup_rowsrowrow_sumsliceentrysource) + (dst_negative_scale_lookup_rowsrowrow_sumsliceentrysource))) + (((dst_negative_code_lookup_rowsrowrow_sumsliceentrysource) + (dst_negative_scale_lookup_rowsrowrow_sumsliceentrysource)) * S ((dst_negative_code_lookup_rowsrowrow_sumsliceentrysource) + (dst_negative_scale_lookup_rowsrowrow_sumsliceentrysource)) + ((dst_negative_scale_lookup_rowsrowrow_sumsliceentrysource) + (dst_negative_scale_lookup_rowsrowrow_sumsliceentrysource)))))) /\ (((((exists ff_h_pvs_lookup_rowsrowrow_sumsliceentrysourcepositive. ff_h_pvs_lookup_rowsrowrow_sumsliceentrysourcepositive + S (dst_positive_lookup_rowsrowrow_sumsliceentrysource) = S ((S (((((o) + ((s) * (srt_index_lookup_rows)))) + ((t) * (srs_index_lookup_rowsrowrow_sumslice))))) * dst_positive_scale_lookup_rowsrowrow_sumsliceentrysource)) /\ exists ff_q_pvs_lookup_rowsrowrow_sumsliceentrysourcepositive. dst_positive_code_lookup_rowsrowrow_sumsliceentrysource = ff_q_pvs_lookup_rowsrowrow_sumsliceentrysourcepositive * S ((S (((((o) + ((s) * (srt_index_lookup_rows)))) + ((t) * (srs_index_lookup_rowsrowrow_sumslice))))) * dst_positive_scale_lookup_rowsrowrow_sumsliceentrysource) + (dst_positive_lookup_rowsrowrow_sumsliceentrysource))) /\ (((((exists ff_h_pvs_lookup_rowsrowrow_sumsliceentrysourcenegative. ff_h_pvs_lookup_rowsrowrow_sumsliceentrysourcenegative + S (dst_negative_lookup_rowsrowrow_sumsliceentrysource) = S ((S (((((o) + ((s) * (srt_index_lookup_rows)))) + ((t) * (srs_index_lookup_rowsrowrow_sumslice))))) * dst_negative_scale_lookup_rowsrowrow_sumsliceentrysource)) /\ exists ff_q_pvs_lookup_rowsrowrow_sumsliceentrysourcenegative. dst_negative_code_lookup_rowsrowrow_sumsliceentrysource = ff_q_pvs_lookup_rowsrowrow_sumsliceentrysourcenegative * S ((S (((((o) + ((s) * (srt_index_lookup_rows)))) + ((t) * (srs_index_lookup_rowsrowrow_sumslice))))) * dst_negative_scale_lookup_rowsrowrow_sumsliceentrysource) + (dst_negative_lookup_rowsrowrow_sumsliceentrysource))) /\ (exists ge_balance_positive_lookup_rowsrowrow_sumsliceentrysourcevalue ge_balance_negative_lookup_rowsrowrow_sumsliceentrysourcevalue. (((((srs_value_lookup_rowsrowrow_sumslice) = 2 * (ge_balance_positive_lookup_rowsrowrow_sumsliceentrysourcevalue) /\ (ge_balance_negative_lookup_rowsrowrow_sumsliceentrysourcevalue) = 0) \/ exists ge_signed_half_lookup_rowsrowrow_sumsliceentrysourcevaluedecode. (((srs_value_lookup_rowsrowrow_sumslice) = 2 * ge_signed_half_lookup_rowsrowrow_sumsliceentrysourcevaluedecode + 1 /\ (ge_balance_positive_lookup_rowsrowrow_sumsliceentrysourcevalue) = 0) /\ (ge_balance_negative_lookup_rowsrowrow_sumsliceentrysourcevalue) = S ge_signed_half_lookup_rowsrowrow_sumsliceentrysourcevaluedecode))) /\ ((dst_positive_lookup_rowsrowrow_sumsliceentrysource) + ge_balance_negative_lookup_rowsrowrow_sumsliceentrysourcevalue = (dst_negative_lookup_rowsrowrow_sumsliceentrysource) + ge_balance_positive_lookup_rowsrowrow_sumsliceentrysourcevalue))))))))) /\ (exists dst_positive_code_lookup_rowsrowrow_sumsliceentryoutput dst_positive_scale_lookup_rowsrowrow_sumsliceentryoutput dst_negative_code_lookup_rowsrowrow_sumsliceentryoutput dst_negative_scale_lookup_rowsrowrow_sumsliceentryoutput dst_positive_lookup_rowsrowrow_sumsliceentryoutput dst_negative_lookup_rowsrowrow_sumsliceentryoutput. (((srs_slice_lookup_rowsrowrow_sum) = (((((dst_positive_code_lookup_rowsrowrow_sumsliceentryoutput) + (dst_positive_scale_lookup_rowsrowrow_sumsliceentryoutput)) * S ((dst_positive_code_lookup_rowsrowrow_sumsliceentryoutput) + (dst_positive_scale_lookup_rowsrowrow_sumsliceentryoutput)) + ((dst_positive_scale_lookup_rowsrowrow_sumsliceentryoutput) + (dst_positive_scale_lookup_rowsrowrow_sumsliceentryoutput))) + (((dst_negative_code_lookup_rowsrowrow_sumsliceentryoutput) + (dst_negative_scale_lookup_rowsrowrow_sumsliceentryoutput)) * S ((dst_negative_code_lookup_rowsrowrow_sumsliceentryoutput) + (dst_negative_scale_lookup_rowsrowrow_sumsliceentryoutput)) + ((dst_negative_scale_lookup_rowsrowrow_sumsliceentryoutput) + (dst_negative_scale_lookup_rowsrowrow_sumsliceentryoutput)))) * S ((((dst_positive_code_lookup_rowsrowrow_sumsliceentryoutput) + (dst_positive_scale_lookup_rowsrowrow_sumsliceentryoutput)) * S ((dst_positive_code_lookup_rowsrowrow_sumsliceentryoutput) + (dst_positive_scale_lookup_rowsrowrow_sumsliceentryoutput)) + ((dst_positive_scale_lookup_rowsrowrow_sumsliceentryoutput) + (dst_positive_scale_lookup_rowsrowrow_sumsliceentryoutput))) + (((dst_negative_code_lookup_rowsrowrow_sumsliceentryoutput) + (dst_negative_scale_lookup_rowsrowrow_sumsliceentryoutput)) * S ((dst_negative_code_lookup_rowsrowrow_sumsliceentryoutput) + (dst_negative_scale_lookup_rowsrowrow_sumsliceentryoutput)) + ((dst_negative_scale_lookup_rowsrowrow_sumsliceentryoutput) + (dst_negative_scale_lookup_rowsrowrow_sumsliceentryoutput)))) + ((((dst_negative_code_lookup_rowsrowrow_sumsliceentryoutput) + (dst_negative_scale_lookup_rowsrowrow_sumsliceentryoutput)) * S ((dst_negative_code_lookup_rowsrowrow_sumsliceentryoutput) + (dst_negative_scale_lookup_rowsrowrow_sumsliceentryoutput)) + ((dst_negative_scale_lookup_rowsrowrow_sumsliceentryoutput) + (dst_negative_scale_lookup_rowsrowrow_sumsliceentryoutput))) + (((dst_negative_code_lookup_rowsrowrow_sumsliceentryoutput) + (dst_negative_scale_lookup_rowsrowrow_sumsliceentryoutput)) * S ((dst_negative_code_lookup_rowsrowrow_sumsliceentryoutput) + (dst_negative_scale_lookup_rowsrowrow_sumsliceentryoutput)) + ((dst_negative_scale_lookup_rowsrowrow_sumsliceentryoutput) + (dst_negative_scale_lookup_rowsrowrow_sumsliceentryoutput)))))) /\ (((((exists ff_h_pvs_lookup_rowsrowrow_sumsliceentryoutputpositive. ff_h_pvs_lookup_rowsrowrow_sumsliceentryoutputpositive + S (dst_positive_lookup_rowsrowrow_sumsliceentryoutput) = S ((S (srs_index_lookup_rowsrowrow_sumslice)) * dst_positive_scale_lookup_rowsrowrow_sumsliceentryoutput)) /\ exists ff_q_pvs_lookup_rowsrowrow_sumsliceentryoutputpositive. dst_positive_code_lookup_rowsrowrow_sumsliceentryoutput = ff_q_pvs_lookup_rowsrowrow_sumsliceentryoutputpositive * S ((S (srs_index_lookup_rowsrowrow_sumslice)) * dst_positive_scale_lookup_rowsrowrow_sumsliceentryoutput) + (dst_positive_lookup_rowsrowrow_sumsliceentryoutput))) /\ (((((exists ff_h_pvs_lookup_rowsrowrow_sumsliceentryoutputnegative. ff_h_pvs_lookup_rowsrowrow_sumsliceentryoutputnegative + S (dst_negative_lookup_rowsrowrow_sumsliceentryoutput) = S ((S (srs_index_lookup_rowsrowrow_sumslice)) * dst_negative_scale_lookup_rowsrowrow_sumsliceentryoutput)) /\ exists ff_q_pvs_lookup_rowsrowrow_sumsliceentryoutputnegative. dst_negative_code_lookup_rowsrowrow_sumsliceentryoutput = ff_q_pvs_lookup_rowsrowrow_sumsliceentryoutputnegative * S ((S (srs_index_lookup_rowsrowrow_sumslice)) * dst_negative_scale_lookup_rowsrowrow_sumsliceentryoutput) + (dst_negative_lookup_rowsrowrow_sumsliceentryoutput))) /\ (exists ge_balance_positive_lookup_rowsrowrow_sumsliceentryoutputvalue ge_balance_negative_lookup_rowsrowrow_sumsliceentryoutputvalue. (((((srs_value_lookup_rowsrowrow_sumslice) = 2 * (ge_balance_positive_lookup_rowsrowrow_sumsliceentryoutputvalue) /\ (ge_balance_negative_lookup_rowsrowrow_sumsliceentryoutputvalue) = 0) \/ exists ge_signed_half_lookup_rowsrowrow_sumsliceentryoutputvaluedecode. (((srs_value_lookup_rowsrowrow_sumslice) = 2 * ge_signed_half_lookup_rowsrowrow_sumsliceentryoutputvaluedecode + 1 /\ (ge_balance_positive_lookup_rowsrowrow_sumsliceentryoutputvalue) = 0) /\ (ge_balance_negative_lookup_rowsrowrow_sumsliceentryoutputvalue) = S ge_signed_half_lookup_rowsrowrow_sumsliceentryoutputvaluedecode))) /\ ((dst_positive_lookup_rowsrowrow_sumsliceentryoutput) + ge_balance_negative_lookup_rowsrowrow_sumsliceentryoutputvalue = (dst_negative_lookup_rowsrowrow_sumsliceentryoutput) + ge_balance_positive_lookup_rowsrowrow_sumsliceentryoutputvalue)))))))))))))))) /\ (exists dst_positive_code_lookup_rowsrowrow_sumsum dst_positive_scale_lookup_rowsrowrow_sumsum dst_negative_code_lookup_rowsrowrow_sumsum dst_negative_scale_lookup_rowsrowrow_sumsum dst_positive_sum_lookup_rowsrowrow_sumsum dst_negative_sum_lookup_rowsrowrow_sumsum. (((srs_slice_lookup_rowsrowrow_sum) = (((((dst_positive_code_lookup_rowsrowrow_sumsum) + (dst_positive_scale_lookup_rowsrowrow_sumsum)) * S ((dst_positive_code_lookup_rowsrowrow_sumsum) + (dst_positive_scale_lookup_rowsrowrow_sumsum)) + ((dst_positive_scale_lookup_rowsrowrow_sumsum) + (dst_positive_scale_lookup_rowsrowrow_sumsum))) + (((dst_negative_code_lookup_rowsrowrow_sumsum) + (dst_negative_scale_lookup_rowsrowrow_sumsum)) * S ((dst_negative_code_lookup_rowsrowrow_sumsum) + (dst_negative_scale_lookup_rowsrowrow_sumsum)) + ((dst_negative_scale_lookup_rowsrowrow_sumsum) + (dst_negative_scale_lookup_rowsrowrow_sumsum)))) * S ((((dst_positive_code_lookup_rowsrowrow_sumsum) + (dst_positive_scale_lookup_rowsrowrow_sumsum)) * S ((dst_positive_code_lookup_rowsrowrow_sumsum) + (dst_positive_scale_lookup_rowsrowrow_sumsum)) + ((dst_positive_scale_lookup_rowsrowrow_sumsum) + (dst_positive_scale_lookup_rowsrowrow_sumsum))) + (((dst_negative_code_lookup_rowsrowrow_sumsum) + (dst_negative_scale_lookup_rowsrowrow_sumsum)) * S ((dst_negative_code_lookup_rowsrowrow_sumsum) + (dst_negative_scale_lookup_rowsrowrow_sumsum)) + ((dst_negative_scale_lookup_rowsrowrow_sumsum) + (dst_negative_scale_lookup_rowsrowrow_sumsum)))) + ((((dst_negative_code_lookup_rowsrowrow_sumsum) + (dst_negative_scale_lookup_rowsrowrow_sumsum)) * S ((dst_negative_code_lookup_rowsrowrow_sumsum) + (dst_negative_scale_lookup_rowsrowrow_sumsum)) + ((dst_negative_scale_lookup_rowsrowrow_sumsum) + (dst_negative_scale_lookup_rowsrowrow_sumsum))) + (((dst_negative_code_lookup_rowsrowrow_sumsum) + (dst_negative_scale_lookup_rowsrowrow_sumsum)) * S ((dst_negative_code_lookup_rowsrowrow_sumsum) + (dst_negative_scale_lookup_rowsrowrow_sumsum)) + ((dst_negative_scale_lookup_rowsrowrow_sumsum) + (dst_negative_scale_lookup_rowsrowrow_sumsum)))))) /\ (((exists fs_u_dst_lookup_rowsrowrow_sumsumpositive fs_v_dst_lookup_rowsrowrow_sumsumpositive. ((((exists fs_h_dst_lookup_rowsrowrow_sumsumpositive_body_start. fs_h_dst_lookup_rowsrowrow_sumsumpositive_body_start + S (0) = S ((S (0)) * fs_v_dst_lookup_rowsrowrow_sumsumpositive)) /\ exists fs_q_dst_lookup_rowsrowrow_sumsumpositive_body_start. fs_u_dst_lookup_rowsrowrow_sumsumpositive = fs_q_dst_lookup_rowsrowrow_sumsumpositive_body_start * S ((S (0)) * fs_v_dst_lookup_rowsrowrow_sumsumpositive) + (0))) /\ ((((exists fs_h_dst_lookup_rowsrowrow_sumsumpositive_body_terminal. fs_h_dst_lookup_rowsrowrow_sumsumpositive_body_terminal + S (dst_positive_sum_lookup_rowsrowrow_sumsum) = S ((S (n)) * fs_v_dst_lookup_rowsrowrow_sumsumpositive)) /\ exists fs_q_dst_lookup_rowsrowrow_sumsumpositive_body_terminal. fs_u_dst_lookup_rowsrowrow_sumsumpositive = fs_q_dst_lookup_rowsrowrow_sumsumpositive_body_terminal * S ((S (n)) * fs_v_dst_lookup_rowsrowrow_sumsumpositive) + (dst_positive_sum_lookup_rowsrowrow_sumsum))) /\ forall fs_i_dst_lookup_rowsrowrow_sumsumpositive_body_steps. (exists fs_lt_dst_lookup_rowsrowrow_sumsumpositive_body_steps_bound. fs_lt_dst_lookup_rowsrowrow_sumsumpositive_body_steps_bound + S fs_i_dst_lookup_rowsrowrow_sumsumpositive_body_steps = n) -> exists fs_a_dst_lookup_rowsrowrow_sumsumpositive_body_steps fs_r_dst_lookup_rowsrowrow_sumsumpositive_body_steps fs_s_dst_lookup_rowsrowrow_sumsumpositive_body_steps. ((((exists fs_h_dst_lookup_rowsrowrow_sumsumpositive_body_steps_summand. fs_h_dst_lookup_rowsrowrow_sumsumpositive_body_steps_summand + S (fs_a_dst_lookup_rowsrowrow_sumsumpositive_body_steps) = S ((S (fs_i_dst_lookup_rowsrowrow_sumsumpositive_body_steps)) * dst_positive_scale_lookup_rowsrowrow_sumsum)) /\ exists fs_q_dst_lookup_rowsrowrow_sumsumpositive_body_steps_summand. dst_positive_code_lookup_rowsrowrow_sumsum = fs_q_dst_lookup_rowsrowrow_sumsumpositive_body_steps_summand * S ((S (fs_i_dst_lookup_rowsrowrow_sumsumpositive_body_steps)) * dst_positive_scale_lookup_rowsrowrow_sumsum) + (fs_a_dst_lookup_rowsrowrow_sumsumpositive_body_steps))) /\ ((((exists fs_h_dst_lookup_rowsrowrow_sumsumpositive_body_steps_partial. fs_h_dst_lookup_rowsrowrow_sumsumpositive_body_steps_partial + S (fs_r_dst_lookup_rowsrowrow_sumsumpositive_body_steps) = S ((S (fs_i_dst_lookup_rowsrowrow_sumsumpositive_body_steps)) * fs_v_dst_lookup_rowsrowrow_sumsumpositive)) /\ exists fs_q_dst_lookup_rowsrowrow_sumsumpositive_body_steps_partial. fs_u_dst_lookup_rowsrowrow_sumsumpositive = fs_q_dst_lookup_rowsrowrow_sumsumpositive_body_steps_partial * S ((S (fs_i_dst_lookup_rowsrowrow_sumsumpositive_body_steps)) * fs_v_dst_lookup_rowsrowrow_sumsumpositive) + (fs_r_dst_lookup_rowsrowrow_sumsumpositive_body_steps))) /\ ((((exists fs_h_dst_lookup_rowsrowrow_sumsumpositive_body_steps_successor. fs_h_dst_lookup_rowsrowrow_sumsumpositive_body_steps_successor + S (fs_s_dst_lookup_rowsrowrow_sumsumpositive_body_steps) = S ((S (S fs_i_dst_lookup_rowsrowrow_sumsumpositive_body_steps)) * fs_v_dst_lookup_rowsrowrow_sumsumpositive)) /\ exists fs_q_dst_lookup_rowsrowrow_sumsumpositive_body_steps_successor. fs_u_dst_lookup_rowsrowrow_sumsumpositive = fs_q_dst_lookup_rowsrowrow_sumsumpositive_body_steps_successor * S ((S (S fs_i_dst_lookup_rowsrowrow_sumsumpositive_body_steps)) * fs_v_dst_lookup_rowsrowrow_sumsumpositive) + (fs_s_dst_lookup_rowsrowrow_sumsumpositive_body_steps))) /\ fs_s_dst_lookup_rowsrowrow_sumsumpositive_body_steps = fs_r_dst_lookup_rowsrowrow_sumsumpositive_body_steps + fs_a_dst_lookup_rowsrowrow_sumsumpositive_body_steps)))))) /\ (((exists fs_u_dst_lookup_rowsrowrow_sumsumnegative fs_v_dst_lookup_rowsrowrow_sumsumnegative. ((((exists fs_h_dst_lookup_rowsrowrow_sumsumnegative_body_start. fs_h_dst_lookup_rowsrowrow_sumsumnegative_body_start + S (0) = S ((S (0)) * fs_v_dst_lookup_rowsrowrow_sumsumnegative)) /\ exists fs_q_dst_lookup_rowsrowrow_sumsumnegative_body_start. fs_u_dst_lookup_rowsrowrow_sumsumnegative = fs_q_dst_lookup_rowsrowrow_sumsumnegative_body_start * S ((S (0)) * fs_v_dst_lookup_rowsrowrow_sumsumnegative) + (0))) /\ ((((exists fs_h_dst_lookup_rowsrowrow_sumsumnegative_body_terminal. fs_h_dst_lookup_rowsrowrow_sumsumnegative_body_terminal + S (dst_negative_sum_lookup_rowsrowrow_sumsum) = S ((S (n)) * fs_v_dst_lookup_rowsrowrow_sumsumnegative)) /\ exists fs_q_dst_lookup_rowsrowrow_sumsumnegative_body_terminal. fs_u_dst_lookup_rowsrowrow_sumsumnegative = fs_q_dst_lookup_rowsrowrow_sumsumnegative_body_terminal * S ((S (n)) * fs_v_dst_lookup_rowsrowrow_sumsumnegative) + (dst_negative_sum_lookup_rowsrowrow_sumsum))) /\ forall fs_i_dst_lookup_rowsrowrow_sumsumnegative_body_steps. (exists fs_lt_dst_lookup_rowsrowrow_sumsumnegative_body_steps_bound. fs_lt_dst_lookup_rowsrowrow_sumsumnegative_body_steps_bound + S fs_i_dst_lookup_rowsrowrow_sumsumnegative_body_steps = n) -> exists fs_a_dst_lookup_rowsrowrow_sumsumnegative_body_steps fs_r_dst_lookup_rowsrowrow_sumsumnegative_body_steps fs_s_dst_lookup_rowsrowrow_sumsumnegative_body_steps. ((((exists fs_h_dst_lookup_rowsrowrow_sumsumnegative_body_steps_summand. fs_h_dst_lookup_rowsrowrow_sumsumnegative_body_steps_summand + S (fs_a_dst_lookup_rowsrowrow_sumsumnegative_body_steps) = S ((S (fs_i_dst_lookup_rowsrowrow_sumsumnegative_body_steps)) * dst_negative_scale_lookup_rowsrowrow_sumsum)) /\ exists fs_q_dst_lookup_rowsrowrow_sumsumnegative_body_steps_summand. dst_negative_code_lookup_rowsrowrow_sumsum = fs_q_dst_lookup_rowsrowrow_sumsumnegative_body_steps_summand * S ((S (fs_i_dst_lookup_rowsrowrow_sumsumnegative_body_steps)) * dst_negative_scale_lookup_rowsrowrow_sumsum) + (fs_a_dst_lookup_rowsrowrow_sumsumnegative_body_steps))) /\ ((((exists fs_h_dst_lookup_rowsrowrow_sumsumnegative_body_steps_partial. fs_h_dst_lookup_rowsrowrow_sumsumnegative_body_steps_partial + S (fs_r_dst_lookup_rowsrowrow_sumsumnegative_body_steps) = S ((S (fs_i_dst_lookup_rowsrowrow_sumsumnegative_body_steps)) * fs_v_dst_lookup_rowsrowrow_sumsumnegative)) /\ exists fs_q_dst_lookup_rowsrowrow_sumsumnegative_body_steps_partial. fs_u_dst_lookup_rowsrowrow_sumsumnegative = fs_q_dst_lookup_rowsrowrow_sumsumnegative_body_steps_partial * S ((S (fs_i_dst_lookup_rowsrowrow_sumsumnegative_body_steps)) * fs_v_dst_lookup_rowsrowrow_sumsumnegative) + (fs_r_dst_lookup_rowsrowrow_sumsumnegative_body_steps))) /\ ((((exists fs_h_dst_lookup_rowsrowrow_sumsumnegative_body_steps_successor. fs_h_dst_lookup_rowsrowrow_sumsumnegative_body_steps_successor + S (fs_s_dst_lookup_rowsrowrow_sumsumnegative_body_steps) = S ((S (S fs_i_dst_lookup_rowsrowrow_sumsumnegative_body_steps)) * fs_v_dst_lookup_rowsrowrow_sumsumnegative)) /\ exists fs_q_dst_lookup_rowsrowrow_sumsumnegative_body_steps_successor. fs_u_dst_lookup_rowsrowrow_sumsumnegative = fs_q_dst_lookup_rowsrowrow_sumsumnegative_body_steps_successor * S ((S (S fs_i_dst_lookup_rowsrowrow_sumsumnegative_body_steps)) * fs_v_dst_lookup_rowsrowrow_sumsumnegative) + (fs_s_dst_lookup_rowsrowrow_sumsumnegative_body_steps))) /\ fs_s_dst_lookup_rowsrowrow_sumsumnegative_body_steps = fs_r_dst_lookup_rowsrowrow_sumsumnegative_body_steps + fs_a_dst_lookup_rowsrowrow_sumsumnegative_body_steps)))))) /\ (exists ge_balance_positive_lookup_rowsrowrow_sumsumresult ge_balance_negative_lookup_rowsrowrow_sumsumresult. (((((srt_value_lookup_rows) = 2 * (ge_balance_positive_lookup_rowsrowrow_sumsumresult) /\ (ge_balance_negative_lookup_rowsrowrow_sumsumresult) = 0) \/ exists ge_signed_half_lookup_rowsrowrow_sumsumresultdecode. (((srt_value_lookup_rows) = 2 * ge_signed_half_lookup_rowsrowrow_sumsumresultdecode + 1 /\ (ge_balance_positive_lookup_rowsrowrow_sumsumresult) = 0) /\ (ge_balance_negative_lookup_rowsrowrow_sumsumresult) = S ge_signed_half_lookup_rowsrowrow_sumsumresultdecode))) /\ ((dst_positive_sum_lookup_rowsrowrow_sumsum) + ge_balance_negative_lookup_rowsrowrow_sumsumresult = (dst_negative_sum_lookup_rowsrowrow_sumsum) + ge_balance_positive_lookup_rowsrowrow_sumsumresult)))))))))))))))))) -> (exists pvs_gap_lookup_bound. pvs_gap_lookup_bound + S (i) = (m)) -> (exists dst_positive_code_lookup_value dst_positive_scale_lookup_value dst_negative_code_lookup_value dst_negative_scale_lookup_value dst_positive_lookup_value dst_negative_lookup_value. (((R) = (((((dst_positive_code_lookup_value) + (dst_positive_scale_lookup_value)) * S ((dst_positive_code_lookup_value) + (dst_positive_scale_lookup_value)) + ((dst_positive_scale_lookup_value) + (dst_positive_scale_lookup_value))) + (((dst_negative_code_lookup_value) + (dst_negative_scale_lookup_value)) * S ((dst_negative_code_lookup_value) + (dst_negative_scale_lookup_value)) + ((dst_negative_scale_lookup_value) + (dst_negative_scale_lookup_value)))) * S ((((dst_positive_code_lookup_value) + (dst_positive_scale_lookup_value)) * S ((dst_positive_code_lookup_value) + (dst_positive_scale_lookup_value)) + ((dst_positive_scale_lookup_value) + (dst_positive_scale_lookup_value))) + (((dst_negative_code_lookup_value) + (dst_negative_scale_lookup_value)) * S ((dst_negative_code_lookup_value) + (dst_negative_scale_lookup_value)) + ((dst_negative_scale_lookup_value) + (dst_negative_scale_lookup_value)))) + ((((dst_negative_code_lookup_value) + (dst_negative_scale_lookup_value)) * S ((dst_negative_code_lookup_value) + (dst_negative_scale_lookup_value)) + ((dst_negative_scale_lookup_value) + (dst_negative_scale_lookup_value))) + (((dst_negative_code_lookup_value) + (dst_negative_scale_lookup_value)) * S ((dst_negative_code_lookup_value) + (dst_negative_scale_lookup_value)) + ((dst_negative_scale_lookup_value) + (dst_negative_scale_lookup_value)))))) /\ (((((exists ff_h_pvs_lookup_valuepositive. ff_h_pvs_lookup_valuepositive + S (dst_positive_lookup_value) = S ((S (i)) * dst_positive_scale_lookup_value)) /\ exists ff_q_pvs_lookup_valuepositive. dst_positive_code_lookup_value = ff_q_pvs_lookup_valuepositive * S ((S (i)) * dst_positive_scale_lookup_value) + (dst_positive_lookup_value))) /\ (((((exists ff_h_pvs_lookup_valuenegative. ff_h_pvs_lookup_valuenegative + S (dst_negative_lookup_value) = S ((S (i)) * dst_negative_scale_lookup_value)) /\ exists ff_q_pvs_lookup_valuenegative. dst_negative_code_lookup_value = ff_q_pvs_lookup_valuenegative * S ((S (i)) * dst_negative_scale_lookup_value) + (dst_negative_lookup_value))) /\ (exists ge_balance_positive_lookup_valuevalue ge_balance_negative_lookup_valuevalue. (((((z) = 2 * (ge_balance_positive_lookup_valuevalue) /\ (ge_balance_negative_lookup_valuevalue) = 0) \/ exists ge_signed_half_lookup_valuevaluedecode. (((z) = 2 * ge_signed_half_lookup_valuevaluedecode + 1 /\ (ge_balance_positive_lookup_valuevalue) = 0) /\ (ge_balance_negative_lookup_valuevalue) = S ge_signed_half_lookup_valuevaluedecode))) /\ ((dst_positive_lookup_value) + ge_balance_negative_lookup_valuevalue = (dst_negative_lookup_value) + ge_balance_positive_lookup_valuevalue))))))))) -> (exists srs_slice_lookup_sum. ((((exists dst_positive_code_lookup_sumslicesource_table dst_positive_scale_lookup_sumslicesource_table dst_negative_code_lookup_sumslicesource_table dst_negative_scale_lookup_sumslicesource_table. (((F) = (((((dst_positive_code_lookup_sumslicesource_table) + (dst_positive_scale_lookup_sumslicesource_table)) * S ((dst_positive_code_lookup_sumslicesource_table) + (dst_positive_scale_lookup_sumslicesource_table)) + ((dst_positive_scale_lookup_sumslicesource_table) + (dst_positive_scale_lookup_sumslicesource_table))) + (((dst_negative_code_lookup_sumslicesource_table) + (dst_negative_scale_lookup_sumslicesource_table)) * S ((dst_negative_code_lookup_sumslicesource_table) + (dst_negative_scale_lookup_sumslicesource_table)) + ((dst_negative_scale_lookup_sumslicesource_table) + (dst_negative_scale_lookup_sumslicesource_table)))) * S ((((dst_positive_code_lookup_sumslicesource_table) + (dst_positive_scale_lookup_sumslicesource_table)) * S ((dst_positive_code_lookup_sumslicesource_table) + (dst_positive_scale_lookup_sumslicesource_table)) + ((dst_positive_scale_lookup_sumslicesource_table) + (dst_positive_scale_lookup_sumslicesource_table))) + (((dst_negative_code_lookup_sumslicesource_table) + (dst_negative_scale_lookup_sumslicesource_table)) * S ((dst_negative_code_lookup_sumslicesource_table) + (dst_negative_scale_lookup_sumslicesource_table)) + ((dst_negative_scale_lookup_sumslicesource_table) + (dst_negative_scale_lookup_sumslicesource_table)))) + ((((dst_negative_code_lookup_sumslicesource_table) + (dst_negative_scale_lookup_sumslicesource_table)) * S ((dst_negative_code_lookup_sumslicesource_table) + (dst_negative_scale_lookup_sumslicesource_table)) + ((dst_negative_scale_lookup_sumslicesource_table) + (dst_negative_scale_lookup_sumslicesource_table))) + (((dst_negative_code_lookup_sumslicesource_table) + (dst_negative_scale_lookup_sumslicesource_table)) * S ((dst_negative_code_lookup_sumslicesource_table) + (dst_negative_scale_lookup_sumslicesource_table)) + ((dst_negative_scale_lookup_sumslicesource_table) + (dst_negative_scale_lookup_sumslicesource_table)))))) /\ (forall dst_index_lookup_sumslicesource_table. (exists pvs_le_gap_lookup_sumslicesource_tabledomain. pvs_le_gap_lookup_sumslicesource_tabledomain + (dst_index_lookup_sumslicesource_table) = (0)) -> exists dst_positive_lookup_sumslicesource_table dst_negative_lookup_sumslicesource_table dst_value_lookup_sumslicesource_table. ((((exists ff_h_pvs_lookup_sumslicesource_tableentrypositive. ff_h_pvs_lookup_sumslicesource_tableentrypositive + S (dst_positive_lookup_sumslicesource_table) = S ((S (dst_index_lookup_sumslicesource_table)) * dst_positive_scale_lookup_sumslicesource_table)) /\ exists ff_q_pvs_lookup_sumslicesource_tableentrypositive. dst_positive_code_lookup_sumslicesource_table = ff_q_pvs_lookup_sumslicesource_tableentrypositive * S ((S (dst_index_lookup_sumslicesource_table)) * dst_positive_scale_lookup_sumslicesource_table) + (dst_positive_lookup_sumslicesource_table))) /\ (((((exists ff_h_pvs_lookup_sumslicesource_tableentrynegative. ff_h_pvs_lookup_sumslicesource_tableentrynegative + S (dst_negative_lookup_sumslicesource_table) = S ((S (dst_index_lookup_sumslicesource_table)) * dst_negative_scale_lookup_sumslicesource_table)) /\ exists ff_q_pvs_lookup_sumslicesource_tableentrynegative. dst_negative_code_lookup_sumslicesource_table = ff_q_pvs_lookup_sumslicesource_tableentrynegative * S ((S (dst_index_lookup_sumslicesource_table)) * dst_negative_scale_lookup_sumslicesource_table) + (dst_negative_lookup_sumslicesource_table))) /\ (exists ge_balance_positive_lookup_sumslicesource_tableentryvalue ge_balance_negative_lookup_sumslicesource_tableentryvalue. (((((dst_value_lookup_sumslicesource_table) = 2 * (ge_balance_positive_lookup_sumslicesource_tableentryvalue) /\ (ge_balance_negative_lookup_sumslicesource_tableentryvalue) = 0) \/ exists ge_signed_half_lookup_sumslicesource_tableentryvaluedecode. (((dst_value_lookup_sumslicesource_table) = 2 * ge_signed_half_lookup_sumslicesource_tableentryvaluedecode + 1 /\ (ge_balance_positive_lookup_sumslicesource_tableentryvalue) = 0) /\ (ge_balance_negative_lookup_sumslicesource_tableentryvalue) = S ge_signed_half_lookup_sumslicesource_tableentryvaluedecode))) /\ ((dst_positive_lookup_sumslicesource_table) + ge_balance_negative_lookup_sumslicesource_tableentryvalue = (dst_negative_lookup_sumslicesource_table) + ge_balance_positive_lookup_sumslicesource_tableentryvalue))))))))) /\ (((exists dst_positive_code_lookup_sumsliceoutput_table dst_positive_scale_lookup_sumsliceoutput_table dst_negative_code_lookup_sumsliceoutput_table dst_negative_scale_lookup_sumsliceoutput_table. (((srs_slice_lookup_sum) = (((((dst_positive_code_lookup_sumsliceoutput_table) + (dst_positive_scale_lookup_sumsliceoutput_table)) * S ((dst_positive_code_lookup_sumsliceoutput_table) + (dst_positive_scale_lookup_sumsliceoutput_table)) + ((dst_positive_scale_lookup_sumsliceoutput_table) + (dst_positive_scale_lookup_sumsliceoutput_table))) + (((dst_negative_code_lookup_sumsliceoutput_table) + (dst_negative_scale_lookup_sumsliceoutput_table)) * S ((dst_negative_code_lookup_sumsliceoutput_table) + (dst_negative_scale_lookup_sumsliceoutput_table)) + ((dst_negative_scale_lookup_sumsliceoutput_table) + (dst_negative_scale_lookup_sumsliceoutput_table)))) * S ((((dst_positive_code_lookup_sumsliceoutput_table) + (dst_positive_scale_lookup_sumsliceoutput_table)) * S ((dst_positive_code_lookup_sumsliceoutput_table) + (dst_positive_scale_lookup_sumsliceoutput_table)) + ((dst_positive_scale_lookup_sumsliceoutput_table) + (dst_positive_scale_lookup_sumsliceoutput_table))) + (((dst_negative_code_lookup_sumsliceoutput_table) + (dst_negative_scale_lookup_sumsliceoutput_table)) * S ((dst_negative_code_lookup_sumsliceoutput_table) + (dst_negative_scale_lookup_sumsliceoutput_table)) + ((dst_negative_scale_lookup_sumsliceoutput_table) + (dst_negative_scale_lookup_sumsliceoutput_table)))) + ((((dst_negative_code_lookup_sumsliceoutput_table) + (dst_negative_scale_lookup_sumsliceoutput_table)) * S ((dst_negative_code_lookup_sumsliceoutput_table) + (dst_negative_scale_lookup_sumsliceoutput_table)) + ((dst_negative_scale_lookup_sumsliceoutput_table) + (dst_negative_scale_lookup_sumsliceoutput_table))) + (((dst_negative_code_lookup_sumsliceoutput_table) + (dst_negative_scale_lookup_sumsliceoutput_table)) * S ((dst_negative_code_lookup_sumsliceoutput_table) + (dst_negative_scale_lookup_sumsliceoutput_table)) + ((dst_negative_scale_lookup_sumsliceoutput_table) + (dst_negative_scale_lookup_sumsliceoutput_table)))))) /\ (forall dst_index_lookup_sumsliceoutput_table. (exists pvs_le_gap_lookup_sumsliceoutput_tabledomain. pvs_le_gap_lookup_sumsliceoutput_tabledomain + (dst_index_lookup_sumsliceoutput_table) = (n)) -> exists dst_positive_lookup_sumsliceoutput_table dst_negative_lookup_sumsliceoutput_table dst_value_lookup_sumsliceoutput_table. ((((exists ff_h_pvs_lookup_sumsliceoutput_tableentrypositive. ff_h_pvs_lookup_sumsliceoutput_tableentrypositive + S (dst_positive_lookup_sumsliceoutput_table) = S ((S (dst_index_lookup_sumsliceoutput_table)) * dst_positive_scale_lookup_sumsliceoutput_table)) /\ exists ff_q_pvs_lookup_sumsliceoutput_tableentrypositive. dst_positive_code_lookup_sumsliceoutput_table = ff_q_pvs_lookup_sumsliceoutput_tableentrypositive * S ((S (dst_index_lookup_sumsliceoutput_table)) * dst_positive_scale_lookup_sumsliceoutput_table) + (dst_positive_lookup_sumsliceoutput_table))) /\ (((((exists ff_h_pvs_lookup_sumsliceoutput_tableentrynegative. ff_h_pvs_lookup_sumsliceoutput_tableentrynegative + S (dst_negative_lookup_sumsliceoutput_table) = S ((S (dst_index_lookup_sumsliceoutput_table)) * dst_negative_scale_lookup_sumsliceoutput_table)) /\ exists ff_q_pvs_lookup_sumsliceoutput_tableentrynegative. dst_negative_code_lookup_sumsliceoutput_table = ff_q_pvs_lookup_sumsliceoutput_tableentrynegative * S ((S (dst_index_lookup_sumsliceoutput_table)) * dst_negative_scale_lookup_sumsliceoutput_table) + (dst_negative_lookup_sumsliceoutput_table))) /\ (exists ge_balance_positive_lookup_sumsliceoutput_tableentryvalue ge_balance_negative_lookup_sumsliceoutput_tableentryvalue. (((((dst_value_lookup_sumsliceoutput_table) = 2 * (ge_balance_positive_lookup_sumsliceoutput_tableentryvalue) /\ (ge_balance_negative_lookup_sumsliceoutput_tableentryvalue) = 0) \/ exists ge_signed_half_lookup_sumsliceoutput_tableentryvaluedecode. (((dst_value_lookup_sumsliceoutput_table) = 2 * ge_signed_half_lookup_sumsliceoutput_tableentryvaluedecode + 1 /\ (ge_balance_positive_lookup_sumsliceoutput_tableentryvalue) = 0) /\ (ge_balance_negative_lookup_sumsliceoutput_tableentryvalue) = S ge_signed_half_lookup_sumsliceoutput_tableentryvaluedecode))) /\ ((dst_positive_lookup_sumsliceoutput_table) + ge_balance_negative_lookup_sumsliceoutput_tableentryvalue = (dst_negative_lookup_sumsliceoutput_table) + ge_balance_positive_lookup_sumsliceoutput_tableentryvalue))))))))) /\ (forall srs_index_lookup_sumslice. (exists pvs_gap_lookup_sumslicebound. pvs_gap_lookup_sumslicebound + S (srs_index_lookup_sumslice) = (n)) -> exists srs_value_lookup_sumslice. (((exists dst_positive_code_lookup_sumsliceentrysource dst_positive_scale_lookup_sumsliceentrysource dst_negative_code_lookup_sumsliceentrysource dst_negative_scale_lookup_sumsliceentrysource dst_positive_lookup_sumsliceentrysource dst_negative_lookup_sumsliceentrysource. (((F) = (((((dst_positive_code_lookup_sumsliceentrysource) + (dst_positive_scale_lookup_sumsliceentrysource)) * S ((dst_positive_code_lookup_sumsliceentrysource) + (dst_positive_scale_lookup_sumsliceentrysource)) + ((dst_positive_scale_lookup_sumsliceentrysource) + (dst_positive_scale_lookup_sumsliceentrysource))) + (((dst_negative_code_lookup_sumsliceentrysource) + (dst_negative_scale_lookup_sumsliceentrysource)) * S ((dst_negative_code_lookup_sumsliceentrysource) + (dst_negative_scale_lookup_sumsliceentrysource)) + ((dst_negative_scale_lookup_sumsliceentrysource) + (dst_negative_scale_lookup_sumsliceentrysource)))) * S ((((dst_positive_code_lookup_sumsliceentrysource) + (dst_positive_scale_lookup_sumsliceentrysource)) * S ((dst_positive_code_lookup_sumsliceentrysource) + (dst_positive_scale_lookup_sumsliceentrysource)) + ((dst_positive_scale_lookup_sumsliceentrysource) + (dst_positive_scale_lookup_sumsliceentrysource))) + (((dst_negative_code_lookup_sumsliceentrysource) + (dst_negative_scale_lookup_sumsliceentrysource)) * S ((dst_negative_code_lookup_sumsliceentrysource) + (dst_negative_scale_lookup_sumsliceentrysource)) + ((dst_negative_scale_lookup_sumsliceentrysource) + (dst_negative_scale_lookup_sumsliceentrysource)))) + ((((dst_negative_code_lookup_sumsliceentrysource) + (dst_negative_scale_lookup_sumsliceentrysource)) * S ((dst_negative_code_lookup_sumsliceentrysource) + (dst_negative_scale_lookup_sumsliceentrysource)) + ((dst_negative_scale_lookup_sumsliceentrysource) + (dst_negative_scale_lookup_sumsliceentrysource))) + (((dst_negative_code_lookup_sumsliceentrysource) + (dst_negative_scale_lookup_sumsliceentrysource)) * S ((dst_negative_code_lookup_sumsliceentrysource) + (dst_negative_scale_lookup_sumsliceentrysource)) + ((dst_negative_scale_lookup_sumsliceentrysource) + (dst_negative_scale_lookup_sumsliceentrysource)))))) /\ (((((exists ff_h_pvs_lookup_sumsliceentrysourcepositive. ff_h_pvs_lookup_sumsliceentrysourcepositive + S (dst_positive_lookup_sumsliceentrysource) = S ((S (((((o) + ((s) * (i)))) + ((t) * (srs_index_lookup_sumslice))))) * dst_positive_scale_lookup_sumsliceentrysource)) /\ exists ff_q_pvs_lookup_sumsliceentrysourcepositive. dst_positive_code_lookup_sumsliceentrysource = ff_q_pvs_lookup_sumsliceentrysourcepositive * S ((S (((((o) + ((s) * (i)))) + ((t) * (srs_index_lookup_sumslice))))) * dst_positive_scale_lookup_sumsliceentrysource) + (dst_positive_lookup_sumsliceentrysource))) /\ (((((exists ff_h_pvs_lookup_sumsliceentrysourcenegative. ff_h_pvs_lookup_sumsliceentrysourcenegative + S (dst_negative_lookup_sumsliceentrysource) = S ((S (((((o) + ((s) * (i)))) + ((t) * (srs_index_lookup_sumslice))))) * dst_negative_scale_lookup_sumsliceentrysource)) /\ exists ff_q_pvs_lookup_sumsliceentrysourcenegative. dst_negative_code_lookup_sumsliceentrysource = ff_q_pvs_lookup_sumsliceentrysourcenegative * S ((S (((((o) + ((s) * (i)))) + ((t) * (srs_index_lookup_sumslice))))) * dst_negative_scale_lookup_sumsliceentrysource) + (dst_negative_lookup_sumsliceentrysource))) /\ (exists ge_balance_positive_lookup_sumsliceentrysourcevalue ge_balance_negative_lookup_sumsliceentrysourcevalue. (((((srs_value_lookup_sumslice) = 2 * (ge_balance_positive_lookup_sumsliceentrysourcevalue) /\ (ge_balance_negative_lookup_sumsliceentrysourcevalue) = 0) \/ exists ge_signed_half_lookup_sumsliceentrysourcevaluedecode. (((srs_value_lookup_sumslice) = 2 * ge_signed_half_lookup_sumsliceentrysourcevaluedecode + 1 /\ (ge_balance_positive_lookup_sumsliceentrysourcevalue) = 0) /\ (ge_balance_negative_lookup_sumsliceentrysourcevalue) = S ge_signed_half_lookup_sumsliceentrysourcevaluedecode))) /\ ((dst_positive_lookup_sumsliceentrysource) + ge_balance_negative_lookup_sumsliceentrysourcevalue = (dst_negative_lookup_sumsliceentrysource) + ge_balance_positive_lookup_sumsliceentrysourcevalue))))))))) /\ (exists dst_positive_code_lookup_sumsliceentryoutput dst_positive_scale_lookup_sumsliceentryoutput dst_negative_code_lookup_sumsliceentryoutput dst_negative_scale_lookup_sumsliceentryoutput dst_positive_lookup_sumsliceentryoutput dst_negative_lookup_sumsliceentryoutput. (((srs_slice_lookup_sum) = (((((dst_positive_code_lookup_sumsliceentryoutput) + (dst_positive_scale_lookup_sumsliceentryoutput)) * S ((dst_positive_code_lookup_sumsliceentryoutput) + (dst_positive_scale_lookup_sumsliceentryoutput)) + ((dst_positive_scale_lookup_sumsliceentryoutput) + (dst_positive_scale_lookup_sumsliceentryoutput))) + (((dst_negative_code_lookup_sumsliceentryoutput) + (dst_negative_scale_lookup_sumsliceentryoutput)) * S ((dst_negative_code_lookup_sumsliceentryoutput) + (dst_negative_scale_lookup_sumsliceentryoutput)) + ((dst_negative_scale_lookup_sumsliceentryoutput) + (dst_negative_scale_lookup_sumsliceentryoutput)))) * S ((((dst_positive_code_lookup_sumsliceentryoutput) + (dst_positive_scale_lookup_sumsliceentryoutput)) * S ((dst_positive_code_lookup_sumsliceentryoutput) + (dst_positive_scale_lookup_sumsliceentryoutput)) + ((dst_positive_scale_lookup_sumsliceentryoutput) + (dst_positive_scale_lookup_sumsliceentryoutput))) + (((dst_negative_code_lookup_sumsliceentryoutput) + (dst_negative_scale_lookup_sumsliceentryoutput)) * S ((dst_negative_code_lookup_sumsliceentryoutput) + (dst_negative_scale_lookup_sumsliceentryoutput)) + ((dst_negative_scale_lookup_sumsliceentryoutput) + (dst_negative_scale_lookup_sumsliceentryoutput)))) + ((((dst_negative_code_lookup_sumsliceentryoutput) + (dst_negative_scale_lookup_sumsliceentryoutput)) * S ((dst_negative_code_lookup_sumsliceentryoutput) + (dst_negative_scale_lookup_sumsliceentryoutput)) + ((dst_negative_scale_lookup_sumsliceentryoutput) + (dst_negative_scale_lookup_sumsliceentryoutput))) + (((dst_negative_code_lookup_sumsliceentryoutput) + (dst_negative_scale_lookup_sumsliceentryoutput)) * S ((dst_negative_code_lookup_sumsliceentryoutput) + (dst_negative_scale_lookup_sumsliceentryoutput)) + ((dst_negative_scale_lookup_sumsliceentryoutput) + (dst_negative_scale_lookup_sumsliceentryoutput)))))) /\ (((((exists ff_h_pvs_lookup_sumsliceentryoutputpositive. ff_h_pvs_lookup_sumsliceentryoutputpositive + S (dst_positive_lookup_sumsliceentryoutput) = S ((S (srs_index_lookup_sumslice)) * dst_positive_scale_lookup_sumsliceentryoutput)) /\ exists ff_q_pvs_lookup_sumsliceentryoutputpositive. dst_positive_code_lookup_sumsliceentryoutput = ff_q_pvs_lookup_sumsliceentryoutputpositive * S ((S (srs_index_lookup_sumslice)) * dst_positive_scale_lookup_sumsliceentryoutput) + (dst_positive_lookup_sumsliceentryoutput))) /\ (((((exists ff_h_pvs_lookup_sumsliceentryoutputnegative. ff_h_pvs_lookup_sumsliceentryoutputnegative + S (dst_negative_lookup_sumsliceentryoutput) = S ((S (srs_index_lookup_sumslice)) * dst_negative_scale_lookup_sumsliceentryoutput)) /\ exists ff_q_pvs_lookup_sumsliceentryoutputnegative. dst_negative_code_lookup_sumsliceentryoutput = ff_q_pvs_lookup_sumsliceentryoutputnegative * S ((S (srs_index_lookup_sumslice)) * dst_negative_scale_lookup_sumsliceentryoutput) + (dst_negative_lookup_sumsliceentryoutput))) /\ (exists ge_balance_positive_lookup_sumsliceentryoutputvalue ge_balance_negative_lookup_sumsliceentryoutputvalue. (((((srs_value_lookup_sumslice) = 2 * (ge_balance_positive_lookup_sumsliceentryoutputvalue) /\ (ge_balance_negative_lookup_sumsliceentryoutputvalue) = 0) \/ exists ge_signed_half_lookup_sumsliceentryoutputvaluedecode. (((srs_value_lookup_sumslice) = 2 * ge_signed_half_lookup_sumsliceentryoutputvaluedecode + 1 /\ (ge_balance_positive_lookup_sumsliceentryoutputvalue) = 0) /\ (ge_balance_negative_lookup_sumsliceentryoutputvalue) = S ge_signed_half_lookup_sumsliceentryoutputvaluedecode))) /\ ((dst_positive_lookup_sumsliceentryoutput) + ge_balance_negative_lookup_sumsliceentryoutputvalue = (dst_negative_lookup_sumsliceentryoutput) + ge_balance_positive_lookup_sumsliceentryoutputvalue)))))))))))))))) /\ (exists dst_positive_code_lookup_sumsum dst_positive_scale_lookup_sumsum dst_negative_code_lookup_sumsum dst_negative_scale_lookup_sumsum dst_positive_sum_lookup_sumsum dst_negative_sum_lookup_sumsum. (((srs_slice_lookup_sum) = (((((dst_positive_code_lookup_sumsum) + (dst_positive_scale_lookup_sumsum)) * S ((dst_positive_code_lookup_sumsum) + (dst_positive_scale_lookup_sumsum)) + ((dst_positive_scale_lookup_sumsum) + (dst_positive_scale_lookup_sumsum))) + (((dst_negative_code_lookup_sumsum) + (dst_negative_scale_lookup_sumsum)) * S ((dst_negative_code_lookup_sumsum) + (dst_negative_scale_lookup_sumsum)) + ((dst_negative_scale_lookup_sumsum) + (dst_negative_scale_lookup_sumsum)))) * S ((((dst_positive_code_lookup_sumsum) + (dst_positive_scale_lookup_sumsum)) * S ((dst_positive_code_lookup_sumsum) + (dst_positive_scale_lookup_sumsum)) + ((dst_positive_scale_lookup_sumsum) + (dst_positive_scale_lookup_sumsum))) + (((dst_negative_code_lookup_sumsum) + (dst_negative_scale_lookup_sumsum)) * S ((dst_negative_code_lookup_sumsum) + (dst_negative_scale_lookup_sumsum)) + ((dst_negative_scale_lookup_sumsum) + (dst_negative_scale_lookup_sumsum)))) + ((((dst_negative_code_lookup_sumsum) + (dst_negative_scale_lookup_sumsum)) * S ((dst_negative_code_lookup_sumsum) + (dst_negative_scale_lookup_sumsum)) + ((dst_negative_scale_lookup_sumsum) + (dst_negative_scale_lookup_sumsum))) + (((dst_negative_code_lookup_sumsum) + (dst_negative_scale_lookup_sumsum)) * S ((dst_negative_code_lookup_sumsum) + (dst_negative_scale_lookup_sumsum)) + ((dst_negative_scale_lookup_sumsum) + (dst_negative_scale_lookup_sumsum)))))) /\ (((exists fs_u_dst_lookup_sumsumpositive fs_v_dst_lookup_sumsumpositive. ((((exists fs_h_dst_lookup_sumsumpositive_body_start. fs_h_dst_lookup_sumsumpositive_body_start + S (0) = S ((S (0)) * fs_v_dst_lookup_sumsumpositive)) /\ exists fs_q_dst_lookup_sumsumpositive_body_start. fs_u_dst_lookup_sumsumpositive = fs_q_dst_lookup_sumsumpositive_body_start * S ((S (0)) * fs_v_dst_lookup_sumsumpositive) + (0))) /\ ((((exists fs_h_dst_lookup_sumsumpositive_body_terminal. fs_h_dst_lookup_sumsumpositive_body_terminal + S (dst_positive_sum_lookup_sumsum) = S ((S (n)) * fs_v_dst_lookup_sumsumpositive)) /\ exists fs_q_dst_lookup_sumsumpositive_body_terminal. fs_u_dst_lookup_sumsumpositive = fs_q_dst_lookup_sumsumpositive_body_terminal * S ((S (n)) * fs_v_dst_lookup_sumsumpositive) + (dst_positive_sum_lookup_sumsum))) /\ forall fs_i_dst_lookup_sumsumpositive_body_steps. (exists fs_lt_dst_lookup_sumsumpositive_body_steps_bound. fs_lt_dst_lookup_sumsumpositive_body_steps_bound + S fs_i_dst_lookup_sumsumpositive_body_steps = n) -> exists fs_a_dst_lookup_sumsumpositive_body_steps fs_r_dst_lookup_sumsumpositive_body_steps fs_s_dst_lookup_sumsumpositive_body_steps. ((((exists fs_h_dst_lookup_sumsumpositive_body_steps_summand. fs_h_dst_lookup_sumsumpositive_body_steps_summand + S (fs_a_dst_lookup_sumsumpositive_body_steps) = S ((S (fs_i_dst_lookup_sumsumpositive_body_steps)) * dst_positive_scale_lookup_sumsum)) /\ exists fs_q_dst_lookup_sumsumpositive_body_steps_summand. dst_positive_code_lookup_sumsum = fs_q_dst_lookup_sumsumpositive_body_steps_summand * S ((S (fs_i_dst_lookup_sumsumpositive_body_steps)) * dst_positive_scale_lookup_sumsum) + (fs_a_dst_lookup_sumsumpositive_body_steps))) /\ ((((exists fs_h_dst_lookup_sumsumpositive_body_steps_partial. fs_h_dst_lookup_sumsumpositive_body_steps_partial + S (fs_r_dst_lookup_sumsumpositive_body_steps) = S ((S (fs_i_dst_lookup_sumsumpositive_body_steps)) * fs_v_dst_lookup_sumsumpositive)) /\ exists fs_q_dst_lookup_sumsumpositive_body_steps_partial. fs_u_dst_lookup_sumsumpositive = fs_q_dst_lookup_sumsumpositive_body_steps_partial * S ((S (fs_i_dst_lookup_sumsumpositive_body_steps)) * fs_v_dst_lookup_sumsumpositive) + (fs_r_dst_lookup_sumsumpositive_body_steps))) /\ ((((exists fs_h_dst_lookup_sumsumpositive_body_steps_successor. fs_h_dst_lookup_sumsumpositive_body_steps_successor + S (fs_s_dst_lookup_sumsumpositive_body_steps) = S ((S (S fs_i_dst_lookup_sumsumpositive_body_steps)) * fs_v_dst_lookup_sumsumpositive)) /\ exists fs_q_dst_lookup_sumsumpositive_body_steps_successor. fs_u_dst_lookup_sumsumpositive = fs_q_dst_lookup_sumsumpositive_body_steps_successor * S ((S (S fs_i_dst_lookup_sumsumpositive_body_steps)) * fs_v_dst_lookup_sumsumpositive) + (fs_s_dst_lookup_sumsumpositive_body_steps))) /\ fs_s_dst_lookup_sumsumpositive_body_steps = fs_r_dst_lookup_sumsumpositive_body_steps + fs_a_dst_lookup_sumsumpositive_body_steps)))))) /\ (((exists fs_u_dst_lookup_sumsumnegative fs_v_dst_lookup_sumsumnegative. ((((exists fs_h_dst_lookup_sumsumnegative_body_start. fs_h_dst_lookup_sumsumnegative_body_start + S (0) = S ((S (0)) * fs_v_dst_lookup_sumsumnegative)) /\ exists fs_q_dst_lookup_sumsumnegative_body_start. fs_u_dst_lookup_sumsumnegative = fs_q_dst_lookup_sumsumnegative_body_start * S ((S (0)) * fs_v_dst_lookup_sumsumnegative) + (0))) /\ ((((exists fs_h_dst_lookup_sumsumnegative_body_terminal. fs_h_dst_lookup_sumsumnegative_body_terminal + S (dst_negative_sum_lookup_sumsum) = S ((S (n)) * fs_v_dst_lookup_sumsumnegative)) /\ exists fs_q_dst_lookup_sumsumnegative_body_terminal. fs_u_dst_lookup_sumsumnegative = fs_q_dst_lookup_sumsumnegative_body_terminal * S ((S (n)) * fs_v_dst_lookup_sumsumnegative) + (dst_negative_sum_lookup_sumsum))) /\ forall fs_i_dst_lookup_sumsumnegative_body_steps. (exists fs_lt_dst_lookup_sumsumnegative_body_steps_bound. fs_lt_dst_lookup_sumsumnegative_body_steps_bound + S fs_i_dst_lookup_sumsumnegative_body_steps = n) -> exists fs_a_dst_lookup_sumsumnegative_body_steps fs_r_dst_lookup_sumsumnegative_body_steps fs_s_dst_lookup_sumsumnegative_body_steps. ((((exists fs_h_dst_lookup_sumsumnegative_body_steps_summand. fs_h_dst_lookup_sumsumnegative_body_steps_summand + S (fs_a_dst_lookup_sumsumnegative_body_steps) = S ((S (fs_i_dst_lookup_sumsumnegative_body_steps)) * dst_negative_scale_lookup_sumsum)) /\ exists fs_q_dst_lookup_sumsumnegative_body_steps_summand. dst_negative_code_lookup_sumsum = fs_q_dst_lookup_sumsumnegative_body_steps_summand * S ((S (fs_i_dst_lookup_sumsumnegative_body_steps)) * dst_negative_scale_lookup_sumsum) + (fs_a_dst_lookup_sumsumnegative_body_steps))) /\ ((((exists fs_h_dst_lookup_sumsumnegative_body_steps_partial. fs_h_dst_lookup_sumsumnegative_body_steps_partial + S (fs_r_dst_lookup_sumsumnegative_body_steps) = S ((S (fs_i_dst_lookup_sumsumnegative_body_steps)) * fs_v_dst_lookup_sumsumnegative)) /\ exists fs_q_dst_lookup_sumsumnegative_body_steps_partial. fs_u_dst_lookup_sumsumnegative = fs_q_dst_lookup_sumsumnegative_body_steps_partial * S ((S (fs_i_dst_lookup_sumsumnegative_body_steps)) * fs_v_dst_lookup_sumsumnegative) + (fs_r_dst_lookup_sumsumnegative_body_steps))) /\ ((((exists fs_h_dst_lookup_sumsumnegative_body_steps_successor. fs_h_dst_lookup_sumsumnegative_body_steps_successor + S (fs_s_dst_lookup_sumsumnegative_body_steps) = S ((S (S fs_i_dst_lookup_sumsumnegative_body_steps)) * fs_v_dst_lookup_sumsumnegative)) /\ exists fs_q_dst_lookup_sumsumnegative_body_steps_successor. fs_u_dst_lookup_sumsumnegative = fs_q_dst_lookup_sumsumnegative_body_steps_successor * S ((S (S fs_i_dst_lookup_sumsumnegative_body_steps)) * fs_v_dst_lookup_sumsumnegative) + (fs_s_dst_lookup_sumsumnegative_body_steps))) /\ fs_s_dst_lookup_sumsumnegative_body_steps = fs_r_dst_lookup_sumsumnegative_body_steps + fs_a_dst_lookup_sumsumnegative_body_steps)))))) /\ (exists ge_balance_positive_lookup_sumsumresult ge_balance_negative_lookup_sumsumresult. (((((z) = 2 * (ge_balance_positive_lookup_sumsumresult) /\ (ge_balance_negative_lookup_sumsumresult) = 0) \/ exists ge_signed_half_lookup_sumsumresultdecode. (((z) = 2 * ge_signed_half_lookup_sumsumresultdecode + 1 /\ (ge_balance_positive_lookup_sumsumresult) = 0) /\ (ge_balance_negative_lookup_sumsumresult) = S ge_signed_half_lookup_sumsumresultdecode))) /\ ((dst_positive_sum_lookup_sumsum) + ge_balance_negative_lookup_sumsumresult = (dst_negative_sum_lookup_sumsum) + ge_balance_positive_lookup_sumsumresult)))))))))))