signed_rectangular_row_sums_exists

Exact expanded first-order arithmetic statement

forall m F o s t n. (exists dst_positive_code_exists_source dst_positive_scale_exists_source dst_negative_code_exists_source dst_negative_scale_exists_source. (((F) = (((((dst_positive_code_exists_source) + (dst_positive_scale_exists_source)) * S ((dst_positive_code_exists_source) + (dst_positive_scale_exists_source)) + ((dst_positive_scale_exists_source) + (dst_positive_scale_exists_source))) + (((dst_negative_code_exists_source) + (dst_negative_scale_exists_source)) * S ((dst_negative_code_exists_source) + (dst_negative_scale_exists_source)) + ((dst_negative_scale_exists_source) + (dst_negative_scale_exists_source)))) * S ((((dst_positive_code_exists_source) + (dst_positive_scale_exists_source)) * S ((dst_positive_code_exists_source) + (dst_positive_scale_exists_source)) + ((dst_positive_scale_exists_source) + (dst_positive_scale_exists_source))) + (((dst_negative_code_exists_source) + (dst_negative_scale_exists_source)) * S ((dst_negative_code_exists_source) + (dst_negative_scale_exists_source)) + ((dst_negative_scale_exists_source) + (dst_negative_scale_exists_source)))) + ((((dst_negative_code_exists_source) + (dst_negative_scale_exists_source)) * S ((dst_negative_code_exists_source) + (dst_negative_scale_exists_source)) + ((dst_negative_scale_exists_source) + (dst_negative_scale_exists_source))) + (((dst_negative_code_exists_source) + (dst_negative_scale_exists_source)) * S ((dst_negative_code_exists_source) + (dst_negative_scale_exists_source)) + ((dst_negative_scale_exists_source) + (dst_negative_scale_exists_source)))))) /\ (forall dst_index_exists_source. (exists pvs_le_gap_exists_sourcedomain. pvs_le_gap_exists_sourcedomain + (dst_index_exists_source) = (0)) -> exists dst_positive_exists_source dst_negative_exists_source dst_value_exists_source. ((((exists ff_h_pvs_exists_sourceentrypositive. ff_h_pvs_exists_sourceentrypositive + S (dst_positive_exists_source) = S ((S (dst_index_exists_source)) * dst_positive_scale_exists_source)) /\ exists ff_q_pvs_exists_sourceentrypositive. dst_positive_code_exists_source = ff_q_pvs_exists_sourceentrypositive * S ((S (dst_index_exists_source)) * dst_positive_scale_exists_source) + (dst_positive_exists_source))) /\ (((((exists ff_h_pvs_exists_sourceentrynegative. ff_h_pvs_exists_sourceentrynegative + S (dst_negative_exists_source) = S ((S (dst_index_exists_source)) * dst_negative_scale_exists_source)) /\ exists ff_q_pvs_exists_sourceentrynegative. dst_negative_code_exists_source = ff_q_pvs_exists_sourceentrynegative * S ((S (dst_index_exists_source)) * dst_negative_scale_exists_source) + (dst_negative_exists_source))) /\ (exists ge_balance_positive_exists_sourceentryvalue ge_balance_negative_exists_sourceentryvalue. (((((dst_value_exists_source) = 2 * (ge_balance_positive_exists_sourceentryvalue) /\ (ge_balance_negative_exists_sourceentryvalue) = 0) \/ exists ge_signed_half_exists_sourceentryvaluedecode. (((dst_value_exists_source) = 2 * ge_signed_half_exists_sourceentryvaluedecode + 1 /\ (ge_balance_positive_exists_sourceentryvalue) = 0) /\ (ge_balance_negative_exists_sourceentryvalue) = S ge_signed_half_exists_sourceentryvaluedecode))) /\ ((dst_positive_exists_source) + ge_balance_negative_exists_sourceentryvalue = (dst_negative_exists_source) + ge_balance_positive_exists_sourceentryvalue))))))))) -> exists R. (((exists dst_positive_code_exists_resultsource_table dst_positive_scale_exists_resultsource_table dst_negative_code_exists_resultsource_table dst_negative_scale_exists_resultsource_table. (((F) = (((((dst_positive_code_exists_resultsource_table) + (dst_positive_scale_exists_resultsource_table)) * S ((dst_positive_code_exists_resultsource_table) + (dst_positive_scale_exists_resultsource_table)) + ((dst_positive_scale_exists_resultsource_table) + (dst_positive_scale_exists_resultsource_table))) + (((dst_negative_code_exists_resultsource_table) + (dst_negative_scale_exists_resultsource_table)) * S ((dst_negative_code_exists_resultsource_table) + (dst_negative_scale_exists_resultsource_table)) + ((dst_negative_scale_exists_resultsource_table) + (dst_negative_scale_exists_resultsource_table)))) * S ((((dst_positive_code_exists_resultsource_table) + (dst_positive_scale_exists_resultsource_table)) * S ((dst_positive_code_exists_resultsource_table) + (dst_positive_scale_exists_resultsource_table)) + ((dst_positive_scale_exists_resultsource_table) + (dst_positive_scale_exists_resultsource_table))) + (((dst_negative_code_exists_resultsource_table) + (dst_negative_scale_exists_resultsource_table)) * S ((dst_negative_code_exists_resultsource_table) + (dst_negative_scale_exists_resultsource_table)) + ((dst_negative_scale_exists_resultsource_table) + (dst_negative_scale_exists_resultsource_table)))) + ((((dst_negative_code_exists_resultsource_table) + (dst_negative_scale_exists_resultsource_table)) * S ((dst_negative_code_exists_resultsource_table) + (dst_negative_scale_exists_resultsource_table)) + ((dst_negative_scale_exists_resultsource_table) + (dst_negative_scale_exists_resultsource_table))) + (((dst_negative_code_exists_resultsource_table) + (dst_negative_scale_exists_resultsource_table)) * S ((dst_negative_code_exists_resultsource_table) + (dst_negative_scale_exists_resultsource_table)) + ((dst_negative_scale_exists_resultsource_table) + (dst_negative_scale_exists_resultsource_table)))))) /\ (forall dst_index_exists_resultsource_table. (exists pvs_le_gap_exists_resultsource_tabledomain. pvs_le_gap_exists_resultsource_tabledomain + (dst_index_exists_resultsource_table) = (0)) -> exists dst_positive_exists_resultsource_table dst_negative_exists_resultsource_table dst_value_exists_resultsource_table. ((((exists ff_h_pvs_exists_resultsource_tableentrypositive. ff_h_pvs_exists_resultsource_tableentrypositive + S (dst_positive_exists_resultsource_table) = S ((S (dst_index_exists_resultsource_table)) * dst_positive_scale_exists_resultsource_table)) /\ exists ff_q_pvs_exists_resultsource_tableentrypositive. dst_positive_code_exists_resultsource_table = ff_q_pvs_exists_resultsource_tableentrypositive * S ((S (dst_index_exists_resultsource_table)) * dst_positive_scale_exists_resultsource_table) + (dst_positive_exists_resultsource_table))) /\ (((((exists ff_h_pvs_exists_resultsource_tableentrynegative. ff_h_pvs_exists_resultsource_tableentrynegative + S (dst_negative_exists_resultsource_table) = S ((S (dst_index_exists_resultsource_table)) * dst_negative_scale_exists_resultsource_table)) /\ exists ff_q_pvs_exists_resultsource_tableentrynegative. dst_negative_code_exists_resultsource_table = ff_q_pvs_exists_resultsource_tableentrynegative * S ((S (dst_index_exists_resultsource_table)) * dst_negative_scale_exists_resultsource_table) + (dst_negative_exists_resultsource_table))) /\ (exists ge_balance_positive_exists_resultsource_tableentryvalue ge_balance_negative_exists_resultsource_tableentryvalue. (((((dst_value_exists_resultsource_table) = 2 * (ge_balance_positive_exists_resultsource_tableentryvalue) /\ (ge_balance_negative_exists_resultsource_tableentryvalue) = 0) \/ exists ge_signed_half_exists_resultsource_tableentryvaluedecode. (((dst_value_exists_resultsource_table) = 2 * ge_signed_half_exists_resultsource_tableentryvaluedecode + 1 /\ (ge_balance_positive_exists_resultsource_tableentryvalue) = 0) /\ (ge_balance_negative_exists_resultsource_tableentryvalue) = S ge_signed_half_exists_resultsource_tableentryvaluedecode))) /\ ((dst_positive_exists_resultsource_table) + ge_balance_negative_exists_resultsource_tableentryvalue = (dst_negative_exists_resultsource_table) + ge_balance_positive_exists_resultsource_tableentryvalue))))))))) /\ (((exists dst_positive_code_exists_resultrow_table dst_positive_scale_exists_resultrow_table dst_negative_code_exists_resultrow_table dst_negative_scale_exists_resultrow_table. (((R) = (((((dst_positive_code_exists_resultrow_table) + (dst_positive_scale_exists_resultrow_table)) * S ((dst_positive_code_exists_resultrow_table) + (dst_positive_scale_exists_resultrow_table)) + ((dst_positive_scale_exists_resultrow_table) + (dst_positive_scale_exists_resultrow_table))) + (((dst_negative_code_exists_resultrow_table) + (dst_negative_scale_exists_resultrow_table)) * S ((dst_negative_code_exists_resultrow_table) + (dst_negative_scale_exists_resultrow_table)) + ((dst_negative_scale_exists_resultrow_table) + (dst_negative_scale_exists_resultrow_table)))) * S ((((dst_positive_code_exists_resultrow_table) + (dst_positive_scale_exists_resultrow_table)) * S ((dst_positive_code_exists_resultrow_table) + (dst_positive_scale_exists_resultrow_table)) + ((dst_positive_scale_exists_resultrow_table) + (dst_positive_scale_exists_resultrow_table))) + (((dst_negative_code_exists_resultrow_table) + (dst_negative_scale_exists_resultrow_table)) * S ((dst_negative_code_exists_resultrow_table) + (dst_negative_scale_exists_resultrow_table)) + ((dst_negative_scale_exists_resultrow_table) + (dst_negative_scale_exists_resultrow_table)))) + ((((dst_negative_code_exists_resultrow_table) + (dst_negative_scale_exists_resultrow_table)) * S ((dst_negative_code_exists_resultrow_table) + (dst_negative_scale_exists_resultrow_table)) + ((dst_negative_scale_exists_resultrow_table) + (dst_negative_scale_exists_resultrow_table))) + (((dst_negative_code_exists_resultrow_table) + (dst_negative_scale_exists_resultrow_table)) * S ((dst_negative_code_exists_resultrow_table) + (dst_negative_scale_exists_resultrow_table)) + ((dst_negative_scale_exists_resultrow_table) + (dst_negative_scale_exists_resultrow_table)))))) /\ (forall dst_index_exists_resultrow_table. (exists pvs_le_gap_exists_resultrow_tabledomain. pvs_le_gap_exists_resultrow_tabledomain + (dst_index_exists_resultrow_table) = (m)) -> exists dst_positive_exists_resultrow_table dst_negative_exists_resultrow_table dst_value_exists_resultrow_table. ((((exists ff_h_pvs_exists_resultrow_tableentrypositive. ff_h_pvs_exists_resultrow_tableentrypositive + S (dst_positive_exists_resultrow_table) = S ((S (dst_index_exists_resultrow_table)) * dst_positive_scale_exists_resultrow_table)) /\ exists ff_q_pvs_exists_resultrow_tableentrypositive. dst_positive_code_exists_resultrow_table = ff_q_pvs_exists_resultrow_tableentrypositive * S ((S (dst_index_exists_resultrow_table)) * dst_positive_scale_exists_resultrow_table) + (dst_positive_exists_resultrow_table))) /\ (((((exists ff_h_pvs_exists_resultrow_tableentrynegative. ff_h_pvs_exists_resultrow_tableentrynegative + S (dst_negative_exists_resultrow_table) = S ((S (dst_index_exists_resultrow_table)) * dst_negative_scale_exists_resultrow_table)) /\ exists ff_q_pvs_exists_resultrow_tableentrynegative. dst_negative_code_exists_resultrow_table = ff_q_pvs_exists_resultrow_tableentrynegative * S ((S (dst_index_exists_resultrow_table)) * dst_negative_scale_exists_resultrow_table) + (dst_negative_exists_resultrow_table))) /\ (exists ge_balance_positive_exists_resultrow_tableentryvalue ge_balance_negative_exists_resultrow_tableentryvalue. (((((dst_value_exists_resultrow_table) = 2 * (ge_balance_positive_exists_resultrow_tableentryvalue) /\ (ge_balance_negative_exists_resultrow_tableentryvalue) = 0) \/ exists ge_signed_half_exists_resultrow_tableentryvaluedecode. (((dst_value_exists_resultrow_table) = 2 * ge_signed_half_exists_resultrow_tableentryvaluedecode + 1 /\ (ge_balance_positive_exists_resultrow_tableentryvalue) = 0) /\ (ge_balance_negative_exists_resultrow_tableentryvalue) = S ge_signed_half_exists_resultrow_tableentryvaluedecode))) /\ ((dst_positive_exists_resultrow_table) + ge_balance_negative_exists_resultrow_tableentryvalue = (dst_negative_exists_resultrow_table) + ge_balance_positive_exists_resultrow_tableentryvalue))))))))) /\ (forall srt_index_exists_result. (exists pvs_gap_exists_resultbound. pvs_gap_exists_resultbound + S (srt_index_exists_result) = (m)) -> exists srt_value_exists_result. (((exists dst_positive_code_exists_resultrowentry dst_positive_scale_exists_resultrowentry dst_negative_code_exists_resultrowentry dst_negative_scale_exists_resultrowentry dst_positive_exists_resultrowentry dst_negative_exists_resultrowentry. (((R) = (((((dst_positive_code_exists_resultrowentry) + (dst_positive_scale_exists_resultrowentry)) * S ((dst_positive_code_exists_resultrowentry) + (dst_positive_scale_exists_resultrowentry)) + ((dst_positive_scale_exists_resultrowentry) + (dst_positive_scale_exists_resultrowentry))) + (((dst_negative_code_exists_resultrowentry) + (dst_negative_scale_exists_resultrowentry)) * S ((dst_negative_code_exists_resultrowentry) + (dst_negative_scale_exists_resultrowentry)) + ((dst_negative_scale_exists_resultrowentry) + (dst_negative_scale_exists_resultrowentry)))) * S ((((dst_positive_code_exists_resultrowentry) + (dst_positive_scale_exists_resultrowentry)) * S ((dst_positive_code_exists_resultrowentry) + (dst_positive_scale_exists_resultrowentry)) + ((dst_positive_scale_exists_resultrowentry) + (dst_positive_scale_exists_resultrowentry))) + (((dst_negative_code_exists_resultrowentry) + (dst_negative_scale_exists_resultrowentry)) * S ((dst_negative_code_exists_resultrowentry) + (dst_negative_scale_exists_resultrowentry)) + ((dst_negative_scale_exists_resultrowentry) + (dst_negative_scale_exists_resultrowentry)))) + ((((dst_negative_code_exists_resultrowentry) + (dst_negative_scale_exists_resultrowentry)) * S ((dst_negative_code_exists_resultrowentry) + (dst_negative_scale_exists_resultrowentry)) + ((dst_negative_scale_exists_resultrowentry) + (dst_negative_scale_exists_resultrowentry))) + (((dst_negative_code_exists_resultrowentry) + (dst_negative_scale_exists_resultrowentry)) * S ((dst_negative_code_exists_resultrowentry) + (dst_negative_scale_exists_resultrowentry)) + ((dst_negative_scale_exists_resultrowentry) + (dst_negative_scale_exists_resultrowentry)))))) /\ (((((exists ff_h_pvs_exists_resultrowentrypositive. ff_h_pvs_exists_resultrowentrypositive + S (dst_positive_exists_resultrowentry) = S ((S (srt_index_exists_result)) * dst_positive_scale_exists_resultrowentry)) /\ exists ff_q_pvs_exists_resultrowentrypositive. dst_positive_code_exists_resultrowentry = ff_q_pvs_exists_resultrowentrypositive * S ((S (srt_index_exists_result)) * dst_positive_scale_exists_resultrowentry) + (dst_positive_exists_resultrowentry))) /\ (((((exists ff_h_pvs_exists_resultrowentrynegative. ff_h_pvs_exists_resultrowentrynegative + S (dst_negative_exists_resultrowentry) = S ((S (srt_index_exists_result)) * dst_negative_scale_exists_resultrowentry)) /\ exists ff_q_pvs_exists_resultrowentrynegative. dst_negative_code_exists_resultrowentry = ff_q_pvs_exists_resultrowentrynegative * S ((S (srt_index_exists_result)) * dst_negative_scale_exists_resultrowentry) + (dst_negative_exists_resultrowentry))) /\ (exists ge_balance_positive_exists_resultrowentryvalue ge_balance_negative_exists_resultrowentryvalue. (((((srt_value_exists_result) = 2 * (ge_balance_positive_exists_resultrowentryvalue) /\ (ge_balance_negative_exists_resultrowentryvalue) = 0) \/ exists ge_signed_half_exists_resultrowentryvaluedecode. (((srt_value_exists_result) = 2 * ge_signed_half_exists_resultrowentryvaluedecode + 1 /\ (ge_balance_positive_exists_resultrowentryvalue) = 0) /\ (ge_balance_negative_exists_resultrowentryvalue) = S ge_signed_half_exists_resultrowentryvaluedecode))) /\ ((dst_positive_exists_resultrowentry) + ge_balance_negative_exists_resultrowentryvalue = (dst_negative_exists_resultrowentry) + ge_balance_positive_exists_resultrowentryvalue))))))))) /\ (exists srs_slice_exists_resultrowrow_sum. ((((exists dst_positive_code_exists_resultrowrow_sumslicesource_table dst_positive_scale_exists_resultrowrow_sumslicesource_table dst_negative_code_exists_resultrowrow_sumslicesource_table dst_negative_scale_exists_resultrowrow_sumslicesource_table. (((F) = (((((dst_positive_code_exists_resultrowrow_sumslicesource_table) + (dst_positive_scale_exists_resultrowrow_sumslicesource_table)) * S ((dst_positive_code_exists_resultrowrow_sumslicesource_table) + (dst_positive_scale_exists_resultrowrow_sumslicesource_table)) + ((dst_positive_scale_exists_resultrowrow_sumslicesource_table) + (dst_positive_scale_exists_resultrowrow_sumslicesource_table))) + (((dst_negative_code_exists_resultrowrow_sumslicesource_table) + (dst_negative_scale_exists_resultrowrow_sumslicesource_table)) * S ((dst_negative_code_exists_resultrowrow_sumslicesource_table) + (dst_negative_scale_exists_resultrowrow_sumslicesource_table)) + ((dst_negative_scale_exists_resultrowrow_sumslicesource_table) + (dst_negative_scale_exists_resultrowrow_sumslicesource_table)))) * S ((((dst_positive_code_exists_resultrowrow_sumslicesource_table) + (dst_positive_scale_exists_resultrowrow_sumslicesource_table)) * S ((dst_positive_code_exists_resultrowrow_sumslicesource_table) + (dst_positive_scale_exists_resultrowrow_sumslicesource_table)) + ((dst_positive_scale_exists_resultrowrow_sumslicesource_table) + (dst_positive_scale_exists_resultrowrow_sumslicesource_table))) + (((dst_negative_code_exists_resultrowrow_sumslicesource_table) + (dst_negative_scale_exists_resultrowrow_sumslicesource_table)) * S ((dst_negative_code_exists_resultrowrow_sumslicesource_table) + (dst_negative_scale_exists_resultrowrow_sumslicesource_table)) + ((dst_negative_scale_exists_resultrowrow_sumslicesource_table) + (dst_negative_scale_exists_resultrowrow_sumslicesource_table)))) + ((((dst_negative_code_exists_resultrowrow_sumslicesource_table) + (dst_negative_scale_exists_resultrowrow_sumslicesource_table)) * S ((dst_negative_code_exists_resultrowrow_sumslicesource_table) + (dst_negative_scale_exists_resultrowrow_sumslicesource_table)) + ((dst_negative_scale_exists_resultrowrow_sumslicesource_table) + (dst_negative_scale_exists_resultrowrow_sumslicesource_table))) + (((dst_negative_code_exists_resultrowrow_sumslicesource_table) + (dst_negative_scale_exists_resultrowrow_sumslicesource_table)) * S ((dst_negative_code_exists_resultrowrow_sumslicesource_table) + (dst_negative_scale_exists_resultrowrow_sumslicesource_table)) + ((dst_negative_scale_exists_resultrowrow_sumslicesource_table) + (dst_negative_scale_exists_resultrowrow_sumslicesource_table)))))) /\ (forall dst_index_exists_resultrowrow_sumslicesource_table. (exists pvs_le_gap_exists_resultrowrow_sumslicesource_tabledomain. pvs_le_gap_exists_resultrowrow_sumslicesource_tabledomain + (dst_index_exists_resultrowrow_sumslicesource_table) = (0)) -> exists dst_positive_exists_resultrowrow_sumslicesource_table dst_negative_exists_resultrowrow_sumslicesource_table dst_value_exists_resultrowrow_sumslicesource_table. ((((exists ff_h_pvs_exists_resultrowrow_sumslicesource_tableentrypositive. ff_h_pvs_exists_resultrowrow_sumslicesource_tableentrypositive + S (dst_positive_exists_resultrowrow_sumslicesource_table) = S ((S (dst_index_exists_resultrowrow_sumslicesource_table)) * dst_positive_scale_exists_resultrowrow_sumslicesource_table)) /\ exists ff_q_pvs_exists_resultrowrow_sumslicesource_tableentrypositive. dst_positive_code_exists_resultrowrow_sumslicesource_table = ff_q_pvs_exists_resultrowrow_sumslicesource_tableentrypositive * S ((S (dst_index_exists_resultrowrow_sumslicesource_table)) * dst_positive_scale_exists_resultrowrow_sumslicesource_table) + (dst_positive_exists_resultrowrow_sumslicesource_table))) /\ (((((exists ff_h_pvs_exists_resultrowrow_sumslicesource_tableentrynegative. ff_h_pvs_exists_resultrowrow_sumslicesource_tableentrynegative + S (dst_negative_exists_resultrowrow_sumslicesource_table) = S ((S (dst_index_exists_resultrowrow_sumslicesource_table)) * dst_negative_scale_exists_resultrowrow_sumslicesource_table)) /\ exists ff_q_pvs_exists_resultrowrow_sumslicesource_tableentrynegative. dst_negative_code_exists_resultrowrow_sumslicesource_table = ff_q_pvs_exists_resultrowrow_sumslicesource_tableentrynegative * S ((S (dst_index_exists_resultrowrow_sumslicesource_table)) * dst_negative_scale_exists_resultrowrow_sumslicesource_table) + (dst_negative_exists_resultrowrow_sumslicesource_table))) /\ (exists ge_balance_positive_exists_resultrowrow_sumslicesource_tableentryvalue ge_balance_negative_exists_resultrowrow_sumslicesource_tableentryvalue. (((((dst_value_exists_resultrowrow_sumslicesource_table) = 2 * (ge_balance_positive_exists_resultrowrow_sumslicesource_tableentryvalue) /\ (ge_balance_negative_exists_resultrowrow_sumslicesource_tableentryvalue) = 0) \/ exists ge_signed_half_exists_resultrowrow_sumslicesource_tableentryvaluedecode. (((dst_value_exists_resultrowrow_sumslicesource_table) = 2 * ge_signed_half_exists_resultrowrow_sumslicesource_tableentryvaluedecode + 1 /\ (ge_balance_positive_exists_resultrowrow_sumslicesource_tableentryvalue) = 0) /\ (ge_balance_negative_exists_resultrowrow_sumslicesource_tableentryvalue) = S ge_signed_half_exists_resultrowrow_sumslicesource_tableentryvaluedecode))) /\ ((dst_positive_exists_resultrowrow_sumslicesource_table) + ge_balance_negative_exists_resultrowrow_sumslicesource_tableentryvalue = (dst_negative_exists_resultrowrow_sumslicesource_table) + ge_balance_positive_exists_resultrowrow_sumslicesource_tableentryvalue))))))))) /\ (((exists dst_positive_code_exists_resultrowrow_sumsliceoutput_table dst_positive_scale_exists_resultrowrow_sumsliceoutput_table dst_negative_code_exists_resultrowrow_sumsliceoutput_table dst_negative_scale_exists_resultrowrow_sumsliceoutput_table. (((srs_slice_exists_resultrowrow_sum) = (((((dst_positive_code_exists_resultrowrow_sumsliceoutput_table) + (dst_positive_scale_exists_resultrowrow_sumsliceoutput_table)) * S ((dst_positive_code_exists_resultrowrow_sumsliceoutput_table) + (dst_positive_scale_exists_resultrowrow_sumsliceoutput_table)) + ((dst_positive_scale_exists_resultrowrow_sumsliceoutput_table) + (dst_positive_scale_exists_resultrowrow_sumsliceoutput_table))) + (((dst_negative_code_exists_resultrowrow_sumsliceoutput_table) + (dst_negative_scale_exists_resultrowrow_sumsliceoutput_table)) * S ((dst_negative_code_exists_resultrowrow_sumsliceoutput_table) + (dst_negative_scale_exists_resultrowrow_sumsliceoutput_table)) + ((dst_negative_scale_exists_resultrowrow_sumsliceoutput_table) + (dst_negative_scale_exists_resultrowrow_sumsliceoutput_table)))) * S ((((dst_positive_code_exists_resultrowrow_sumsliceoutput_table) + (dst_positive_scale_exists_resultrowrow_sumsliceoutput_table)) * S ((dst_positive_code_exists_resultrowrow_sumsliceoutput_table) + (dst_positive_scale_exists_resultrowrow_sumsliceoutput_table)) + ((dst_positive_scale_exists_resultrowrow_sumsliceoutput_table) + (dst_positive_scale_exists_resultrowrow_sumsliceoutput_table))) + (((dst_negative_code_exists_resultrowrow_sumsliceoutput_table) + (dst_negative_scale_exists_resultrowrow_sumsliceoutput_table)) * S ((dst_negative_code_exists_resultrowrow_sumsliceoutput_table) + (dst_negative_scale_exists_resultrowrow_sumsliceoutput_table)) + ((dst_negative_scale_exists_resultrowrow_sumsliceoutput_table) + (dst_negative_scale_exists_resultrowrow_sumsliceoutput_table)))) + ((((dst_negative_code_exists_resultrowrow_sumsliceoutput_table) + (dst_negative_scale_exists_resultrowrow_sumsliceoutput_table)) * S ((dst_negative_code_exists_resultrowrow_sumsliceoutput_table) + (dst_negative_scale_exists_resultrowrow_sumsliceoutput_table)) + ((dst_negative_scale_exists_resultrowrow_sumsliceoutput_table) + (dst_negative_scale_exists_resultrowrow_sumsliceoutput_table))) + (((dst_negative_code_exists_resultrowrow_sumsliceoutput_table) + (dst_negative_scale_exists_resultrowrow_sumsliceoutput_table)) * S ((dst_negative_code_exists_resultrowrow_sumsliceoutput_table) + (dst_negative_scale_exists_resultrowrow_sumsliceoutput_table)) + ((dst_negative_scale_exists_resultrowrow_sumsliceoutput_table) + (dst_negative_scale_exists_resultrowrow_sumsliceoutput_table)))))) /\ (forall dst_index_exists_resultrowrow_sumsliceoutput_table. (exists pvs_le_gap_exists_resultrowrow_sumsliceoutput_tabledomain. pvs_le_gap_exists_resultrowrow_sumsliceoutput_tabledomain + (dst_index_exists_resultrowrow_sumsliceoutput_table) = (n)) -> exists dst_positive_exists_resultrowrow_sumsliceoutput_table dst_negative_exists_resultrowrow_sumsliceoutput_table dst_value_exists_resultrowrow_sumsliceoutput_table. ((((exists ff_h_pvs_exists_resultrowrow_sumsliceoutput_tableentrypositive. ff_h_pvs_exists_resultrowrow_sumsliceoutput_tableentrypositive + S (dst_positive_exists_resultrowrow_sumsliceoutput_table) = S ((S (dst_index_exists_resultrowrow_sumsliceoutput_table)) * dst_positive_scale_exists_resultrowrow_sumsliceoutput_table)) /\ exists ff_q_pvs_exists_resultrowrow_sumsliceoutput_tableentrypositive. dst_positive_code_exists_resultrowrow_sumsliceoutput_table = ff_q_pvs_exists_resultrowrow_sumsliceoutput_tableentrypositive * S ((S (dst_index_exists_resultrowrow_sumsliceoutput_table)) * dst_positive_scale_exists_resultrowrow_sumsliceoutput_table) + (dst_positive_exists_resultrowrow_sumsliceoutput_table))) /\ (((((exists ff_h_pvs_exists_resultrowrow_sumsliceoutput_tableentrynegative. ff_h_pvs_exists_resultrowrow_sumsliceoutput_tableentrynegative + S (dst_negative_exists_resultrowrow_sumsliceoutput_table) = S ((S (dst_index_exists_resultrowrow_sumsliceoutput_table)) * dst_negative_scale_exists_resultrowrow_sumsliceoutput_table)) /\ exists ff_q_pvs_exists_resultrowrow_sumsliceoutput_tableentrynegative. dst_negative_code_exists_resultrowrow_sumsliceoutput_table = ff_q_pvs_exists_resultrowrow_sumsliceoutput_tableentrynegative * S ((S (dst_index_exists_resultrowrow_sumsliceoutput_table)) * dst_negative_scale_exists_resultrowrow_sumsliceoutput_table) + (dst_negative_exists_resultrowrow_sumsliceoutput_table))) /\ (exists ge_balance_positive_exists_resultrowrow_sumsliceoutput_tableentryvalue ge_balance_negative_exists_resultrowrow_sumsliceoutput_tableentryvalue. (((((dst_value_exists_resultrowrow_sumsliceoutput_table) = 2 * (ge_balance_positive_exists_resultrowrow_sumsliceoutput_tableentryvalue) /\ (ge_balance_negative_exists_resultrowrow_sumsliceoutput_tableentryvalue) = 0) \/ exists ge_signed_half_exists_resultrowrow_sumsliceoutput_tableentryvaluedecode. (((dst_value_exists_resultrowrow_sumsliceoutput_table) = 2 * ge_signed_half_exists_resultrowrow_sumsliceoutput_tableentryvaluedecode + 1 /\ (ge_balance_positive_exists_resultrowrow_sumsliceoutput_tableentryvalue) = 0) /\ (ge_balance_negative_exists_resultrowrow_sumsliceoutput_tableentryvalue) = S ge_signed_half_exists_resultrowrow_sumsliceoutput_tableentryvaluedecode))) /\ ((dst_positive_exists_resultrowrow_sumsliceoutput_table) + ge_balance_negative_exists_resultrowrow_sumsliceoutput_tableentryvalue = (dst_negative_exists_resultrowrow_sumsliceoutput_table) + ge_balance_positive_exists_resultrowrow_sumsliceoutput_tableentryvalue))))))))) /\ (forall srs_index_exists_resultrowrow_sumslice. (exists pvs_gap_exists_resultrowrow_sumslicebound. pvs_gap_exists_resultrowrow_sumslicebound + S (srs_index_exists_resultrowrow_sumslice) = (n)) -> exists srs_value_exists_resultrowrow_sumslice. (((exists dst_positive_code_exists_resultrowrow_sumsliceentrysource dst_positive_scale_exists_resultrowrow_sumsliceentrysource dst_negative_code_exists_resultrowrow_sumsliceentrysource dst_negative_scale_exists_resultrowrow_sumsliceentrysource dst_positive_exists_resultrowrow_sumsliceentrysource dst_negative_exists_resultrowrow_sumsliceentrysource. (((F) = (((((dst_positive_code_exists_resultrowrow_sumsliceentrysource) + (dst_positive_scale_exists_resultrowrow_sumsliceentrysource)) * S ((dst_positive_code_exists_resultrowrow_sumsliceentrysource) + (dst_positive_scale_exists_resultrowrow_sumsliceentrysource)) + ((dst_positive_scale_exists_resultrowrow_sumsliceentrysource) + (dst_positive_scale_exists_resultrowrow_sumsliceentrysource))) + (((dst_negative_code_exists_resultrowrow_sumsliceentrysource) + (dst_negative_scale_exists_resultrowrow_sumsliceentrysource)) * S ((dst_negative_code_exists_resultrowrow_sumsliceentrysource) + (dst_negative_scale_exists_resultrowrow_sumsliceentrysource)) + ((dst_negative_scale_exists_resultrowrow_sumsliceentrysource) + (dst_negative_scale_exists_resultrowrow_sumsliceentrysource)))) * S ((((dst_positive_code_exists_resultrowrow_sumsliceentrysource) + (dst_positive_scale_exists_resultrowrow_sumsliceentrysource)) * S ((dst_positive_code_exists_resultrowrow_sumsliceentrysource) + (dst_positive_scale_exists_resultrowrow_sumsliceentrysource)) + ((dst_positive_scale_exists_resultrowrow_sumsliceentrysource) + (dst_positive_scale_exists_resultrowrow_sumsliceentrysource))) + (((dst_negative_code_exists_resultrowrow_sumsliceentrysource) + (dst_negative_scale_exists_resultrowrow_sumsliceentrysource)) * S ((dst_negative_code_exists_resultrowrow_sumsliceentrysource) + (dst_negative_scale_exists_resultrowrow_sumsliceentrysource)) + ((dst_negative_scale_exists_resultrowrow_sumsliceentrysource) + (dst_negative_scale_exists_resultrowrow_sumsliceentrysource)))) + ((((dst_negative_code_exists_resultrowrow_sumsliceentrysource) + (dst_negative_scale_exists_resultrowrow_sumsliceentrysource)) * S ((dst_negative_code_exists_resultrowrow_sumsliceentrysource) + (dst_negative_scale_exists_resultrowrow_sumsliceentrysource)) + ((dst_negative_scale_exists_resultrowrow_sumsliceentrysource) + (dst_negative_scale_exists_resultrowrow_sumsliceentrysource))) + (((dst_negative_code_exists_resultrowrow_sumsliceentrysource) + (dst_negative_scale_exists_resultrowrow_sumsliceentrysource)) * S ((dst_negative_code_exists_resultrowrow_sumsliceentrysource) + (dst_negative_scale_exists_resultrowrow_sumsliceentrysource)) + ((dst_negative_scale_exists_resultrowrow_sumsliceentrysource) + (dst_negative_scale_exists_resultrowrow_sumsliceentrysource)))))) /\ (((((exists ff_h_pvs_exists_resultrowrow_sumsliceentrysourcepositive. ff_h_pvs_exists_resultrowrow_sumsliceentrysourcepositive + S (dst_positive_exists_resultrowrow_sumsliceentrysource) = S ((S (((((o) + ((s) * (srt_index_exists_result)))) + ((t) * (srs_index_exists_resultrowrow_sumslice))))) * dst_positive_scale_exists_resultrowrow_sumsliceentrysource)) /\ exists ff_q_pvs_exists_resultrowrow_sumsliceentrysourcepositive. dst_positive_code_exists_resultrowrow_sumsliceentrysource = ff_q_pvs_exists_resultrowrow_sumsliceentrysourcepositive * S ((S (((((o) + ((s) * (srt_index_exists_result)))) + ((t) * (srs_index_exists_resultrowrow_sumslice))))) * dst_positive_scale_exists_resultrowrow_sumsliceentrysource) + (dst_positive_exists_resultrowrow_sumsliceentrysource))) /\ (((((exists ff_h_pvs_exists_resultrowrow_sumsliceentrysourcenegative. ff_h_pvs_exists_resultrowrow_sumsliceentrysourcenegative + S (dst_negative_exists_resultrowrow_sumsliceentrysource) = S ((S (((((o) + ((s) * (srt_index_exists_result)))) + ((t) * (srs_index_exists_resultrowrow_sumslice))))) * dst_negative_scale_exists_resultrowrow_sumsliceentrysource)) /\ exists ff_q_pvs_exists_resultrowrow_sumsliceentrysourcenegative. dst_negative_code_exists_resultrowrow_sumsliceentrysource = ff_q_pvs_exists_resultrowrow_sumsliceentrysourcenegative * S ((S (((((o) + ((s) * (srt_index_exists_result)))) + ((t) * (srs_index_exists_resultrowrow_sumslice))))) * dst_negative_scale_exists_resultrowrow_sumsliceentrysource) + (dst_negative_exists_resultrowrow_sumsliceentrysource))) /\ (exists ge_balance_positive_exists_resultrowrow_sumsliceentrysourcevalue ge_balance_negative_exists_resultrowrow_sumsliceentrysourcevalue. (((((srs_value_exists_resultrowrow_sumslice) = 2 * (ge_balance_positive_exists_resultrowrow_sumsliceentrysourcevalue) /\ (ge_balance_negative_exists_resultrowrow_sumsliceentrysourcevalue) = 0) \/ exists ge_signed_half_exists_resultrowrow_sumsliceentrysourcevaluedecode. (((srs_value_exists_resultrowrow_sumslice) = 2 * ge_signed_half_exists_resultrowrow_sumsliceentrysourcevaluedecode + 1 /\ (ge_balance_positive_exists_resultrowrow_sumsliceentrysourcevalue) = 0) /\ (ge_balance_negative_exists_resultrowrow_sumsliceentrysourcevalue) = S ge_signed_half_exists_resultrowrow_sumsliceentrysourcevaluedecode))) /\ ((dst_positive_exists_resultrowrow_sumsliceentrysource) + ge_balance_negative_exists_resultrowrow_sumsliceentrysourcevalue = (dst_negative_exists_resultrowrow_sumsliceentrysource) + ge_balance_positive_exists_resultrowrow_sumsliceentrysourcevalue))))))))) /\ (exists dst_positive_code_exists_resultrowrow_sumsliceentryoutput dst_positive_scale_exists_resultrowrow_sumsliceentryoutput dst_negative_code_exists_resultrowrow_sumsliceentryoutput dst_negative_scale_exists_resultrowrow_sumsliceentryoutput dst_positive_exists_resultrowrow_sumsliceentryoutput dst_negative_exists_resultrowrow_sumsliceentryoutput. (((srs_slice_exists_resultrowrow_sum) = (((((dst_positive_code_exists_resultrowrow_sumsliceentryoutput) + (dst_positive_scale_exists_resultrowrow_sumsliceentryoutput)) * S ((dst_positive_code_exists_resultrowrow_sumsliceentryoutput) + (dst_positive_scale_exists_resultrowrow_sumsliceentryoutput)) + ((dst_positive_scale_exists_resultrowrow_sumsliceentryoutput) + (dst_positive_scale_exists_resultrowrow_sumsliceentryoutput))) + (((dst_negative_code_exists_resultrowrow_sumsliceentryoutput) + (dst_negative_scale_exists_resultrowrow_sumsliceentryoutput)) * S ((dst_negative_code_exists_resultrowrow_sumsliceentryoutput) + (dst_negative_scale_exists_resultrowrow_sumsliceentryoutput)) + ((dst_negative_scale_exists_resultrowrow_sumsliceentryoutput) + (dst_negative_scale_exists_resultrowrow_sumsliceentryoutput)))) * S ((((dst_positive_code_exists_resultrowrow_sumsliceentryoutput) + (dst_positive_scale_exists_resultrowrow_sumsliceentryoutput)) * S ((dst_positive_code_exists_resultrowrow_sumsliceentryoutput) + (dst_positive_scale_exists_resultrowrow_sumsliceentryoutput)) + ((dst_positive_scale_exists_resultrowrow_sumsliceentryoutput) + (dst_positive_scale_exists_resultrowrow_sumsliceentryoutput))) + (((dst_negative_code_exists_resultrowrow_sumsliceentryoutput) + (dst_negative_scale_exists_resultrowrow_sumsliceentryoutput)) * S ((dst_negative_code_exists_resultrowrow_sumsliceentryoutput) + (dst_negative_scale_exists_resultrowrow_sumsliceentryoutput)) + ((dst_negative_scale_exists_resultrowrow_sumsliceentryoutput) + (dst_negative_scale_exists_resultrowrow_sumsliceentryoutput)))) + ((((dst_negative_code_exists_resultrowrow_sumsliceentryoutput) + (dst_negative_scale_exists_resultrowrow_sumsliceentryoutput)) * S ((dst_negative_code_exists_resultrowrow_sumsliceentryoutput) + (dst_negative_scale_exists_resultrowrow_sumsliceentryoutput)) + ((dst_negative_scale_exists_resultrowrow_sumsliceentryoutput) + (dst_negative_scale_exists_resultrowrow_sumsliceentryoutput))) + (((dst_negative_code_exists_resultrowrow_sumsliceentryoutput) + (dst_negative_scale_exists_resultrowrow_sumsliceentryoutput)) * S ((dst_negative_code_exists_resultrowrow_sumsliceentryoutput) + (dst_negative_scale_exists_resultrowrow_sumsliceentryoutput)) + ((dst_negative_scale_exists_resultrowrow_sumsliceentryoutput) + (dst_negative_scale_exists_resultrowrow_sumsliceentryoutput)))))) /\ (((((exists ff_h_pvs_exists_resultrowrow_sumsliceentryoutputpositive. ff_h_pvs_exists_resultrowrow_sumsliceentryoutputpositive + S (dst_positive_exists_resultrowrow_sumsliceentryoutput) = S ((S (srs_index_exists_resultrowrow_sumslice)) * dst_positive_scale_exists_resultrowrow_sumsliceentryoutput)) /\ exists ff_q_pvs_exists_resultrowrow_sumsliceentryoutputpositive. dst_positive_code_exists_resultrowrow_sumsliceentryoutput = ff_q_pvs_exists_resultrowrow_sumsliceentryoutputpositive * S ((S (srs_index_exists_resultrowrow_sumslice)) * dst_positive_scale_exists_resultrowrow_sumsliceentryoutput) + (dst_positive_exists_resultrowrow_sumsliceentryoutput))) /\ (((((exists ff_h_pvs_exists_resultrowrow_sumsliceentryoutputnegative. ff_h_pvs_exists_resultrowrow_sumsliceentryoutputnegative + S (dst_negative_exists_resultrowrow_sumsliceentryoutput) = S ((S (srs_index_exists_resultrowrow_sumslice)) * dst_negative_scale_exists_resultrowrow_sumsliceentryoutput)) /\ exists ff_q_pvs_exists_resultrowrow_sumsliceentryoutputnegative. dst_negative_code_exists_resultrowrow_sumsliceentryoutput = ff_q_pvs_exists_resultrowrow_sumsliceentryoutputnegative * S ((S (srs_index_exists_resultrowrow_sumslice)) * dst_negative_scale_exists_resultrowrow_sumsliceentryoutput) + (dst_negative_exists_resultrowrow_sumsliceentryoutput))) /\ (exists ge_balance_positive_exists_resultrowrow_sumsliceentryoutputvalue ge_balance_negative_exists_resultrowrow_sumsliceentryoutputvalue. (((((srs_value_exists_resultrowrow_sumslice) = 2 * (ge_balance_positive_exists_resultrowrow_sumsliceentryoutputvalue) /\ (ge_balance_negative_exists_resultrowrow_sumsliceentryoutputvalue) = 0) \/ exists ge_signed_half_exists_resultrowrow_sumsliceentryoutputvaluedecode. (((srs_value_exists_resultrowrow_sumslice) = 2 * ge_signed_half_exists_resultrowrow_sumsliceentryoutputvaluedecode + 1 /\ (ge_balance_positive_exists_resultrowrow_sumsliceentryoutputvalue) = 0) /\ (ge_balance_negative_exists_resultrowrow_sumsliceentryoutputvalue) = S ge_signed_half_exists_resultrowrow_sumsliceentryoutputvaluedecode))) /\ ((dst_positive_exists_resultrowrow_sumsliceentryoutput) + ge_balance_negative_exists_resultrowrow_sumsliceentryoutputvalue = (dst_negative_exists_resultrowrow_sumsliceentryoutput) + ge_balance_positive_exists_resultrowrow_sumsliceentryoutputvalue)))))))))))))))) /\ (exists dst_positive_code_exists_resultrowrow_sumsum dst_positive_scale_exists_resultrowrow_sumsum dst_negative_code_exists_resultrowrow_sumsum dst_negative_scale_exists_resultrowrow_sumsum dst_positive_sum_exists_resultrowrow_sumsum dst_negative_sum_exists_resultrowrow_sumsum. (((srs_slice_exists_resultrowrow_sum) = (((((dst_positive_code_exists_resultrowrow_sumsum) + (dst_positive_scale_exists_resultrowrow_sumsum)) * S ((dst_positive_code_exists_resultrowrow_sumsum) + (dst_positive_scale_exists_resultrowrow_sumsum)) + ((dst_positive_scale_exists_resultrowrow_sumsum) + (dst_positive_scale_exists_resultrowrow_sumsum))) + (((dst_negative_code_exists_resultrowrow_sumsum) + (dst_negative_scale_exists_resultrowrow_sumsum)) * S ((dst_negative_code_exists_resultrowrow_sumsum) + (dst_negative_scale_exists_resultrowrow_sumsum)) + ((dst_negative_scale_exists_resultrowrow_sumsum) + (dst_negative_scale_exists_resultrowrow_sumsum)))) * S ((((dst_positive_code_exists_resultrowrow_sumsum) + (dst_positive_scale_exists_resultrowrow_sumsum)) * S ((dst_positive_code_exists_resultrowrow_sumsum) + (dst_positive_scale_exists_resultrowrow_sumsum)) + ((dst_positive_scale_exists_resultrowrow_sumsum) + (dst_positive_scale_exists_resultrowrow_sumsum))) + (((dst_negative_code_exists_resultrowrow_sumsum) + (dst_negative_scale_exists_resultrowrow_sumsum)) * S ((dst_negative_code_exists_resultrowrow_sumsum) + (dst_negative_scale_exists_resultrowrow_sumsum)) + ((dst_negative_scale_exists_resultrowrow_sumsum) + (dst_negative_scale_exists_resultrowrow_sumsum)))) + ((((dst_negative_code_exists_resultrowrow_sumsum) + (dst_negative_scale_exists_resultrowrow_sumsum)) * S ((dst_negative_code_exists_resultrowrow_sumsum) + (dst_negative_scale_exists_resultrowrow_sumsum)) + ((dst_negative_scale_exists_resultrowrow_sumsum) + (dst_negative_scale_exists_resultrowrow_sumsum))) + (((dst_negative_code_exists_resultrowrow_sumsum) + (dst_negative_scale_exists_resultrowrow_sumsum)) * S ((dst_negative_code_exists_resultrowrow_sumsum) + (dst_negative_scale_exists_resultrowrow_sumsum)) + ((dst_negative_scale_exists_resultrowrow_sumsum) + (dst_negative_scale_exists_resultrowrow_sumsum)))))) /\ (((exists fs_u_dst_exists_resultrowrow_sumsumpositive fs_v_dst_exists_resultrowrow_sumsumpositive. ((((exists fs_h_dst_exists_resultrowrow_sumsumpositive_body_start. fs_h_dst_exists_resultrowrow_sumsumpositive_body_start + S (0) = S ((S (0)) * fs_v_dst_exists_resultrowrow_sumsumpositive)) /\ exists fs_q_dst_exists_resultrowrow_sumsumpositive_body_start. fs_u_dst_exists_resultrowrow_sumsumpositive = fs_q_dst_exists_resultrowrow_sumsumpositive_body_start * S ((S (0)) * fs_v_dst_exists_resultrowrow_sumsumpositive) + (0))) /\ ((((exists fs_h_dst_exists_resultrowrow_sumsumpositive_body_terminal. fs_h_dst_exists_resultrowrow_sumsumpositive_body_terminal + S (dst_positive_sum_exists_resultrowrow_sumsum) = S ((S (n)) * fs_v_dst_exists_resultrowrow_sumsumpositive)) /\ exists fs_q_dst_exists_resultrowrow_sumsumpositive_body_terminal. fs_u_dst_exists_resultrowrow_sumsumpositive = fs_q_dst_exists_resultrowrow_sumsumpositive_body_terminal * S ((S (n)) * fs_v_dst_exists_resultrowrow_sumsumpositive) + (dst_positive_sum_exists_resultrowrow_sumsum))) /\ forall fs_i_dst_exists_resultrowrow_sumsumpositive_body_steps. (exists fs_lt_dst_exists_resultrowrow_sumsumpositive_body_steps_bound. fs_lt_dst_exists_resultrowrow_sumsumpositive_body_steps_bound + S fs_i_dst_exists_resultrowrow_sumsumpositive_body_steps = n) -> exists fs_a_dst_exists_resultrowrow_sumsumpositive_body_steps fs_r_dst_exists_resultrowrow_sumsumpositive_body_steps fs_s_dst_exists_resultrowrow_sumsumpositive_body_steps. ((((exists fs_h_dst_exists_resultrowrow_sumsumpositive_body_steps_summand. fs_h_dst_exists_resultrowrow_sumsumpositive_body_steps_summand + S (fs_a_dst_exists_resultrowrow_sumsumpositive_body_steps) = S ((S (fs_i_dst_exists_resultrowrow_sumsumpositive_body_steps)) * dst_positive_scale_exists_resultrowrow_sumsum)) /\ exists fs_q_dst_exists_resultrowrow_sumsumpositive_body_steps_summand. dst_positive_code_exists_resultrowrow_sumsum = fs_q_dst_exists_resultrowrow_sumsumpositive_body_steps_summand * S ((S (fs_i_dst_exists_resultrowrow_sumsumpositive_body_steps)) * dst_positive_scale_exists_resultrowrow_sumsum) + (fs_a_dst_exists_resultrowrow_sumsumpositive_body_steps))) /\ ((((exists fs_h_dst_exists_resultrowrow_sumsumpositive_body_steps_partial. fs_h_dst_exists_resultrowrow_sumsumpositive_body_steps_partial + S (fs_r_dst_exists_resultrowrow_sumsumpositive_body_steps) = S ((S (fs_i_dst_exists_resultrowrow_sumsumpositive_body_steps)) * fs_v_dst_exists_resultrowrow_sumsumpositive)) /\ exists fs_q_dst_exists_resultrowrow_sumsumpositive_body_steps_partial. fs_u_dst_exists_resultrowrow_sumsumpositive = fs_q_dst_exists_resultrowrow_sumsumpositive_body_steps_partial * S ((S (fs_i_dst_exists_resultrowrow_sumsumpositive_body_steps)) * fs_v_dst_exists_resultrowrow_sumsumpositive) + (fs_r_dst_exists_resultrowrow_sumsumpositive_body_steps))) /\ ((((exists fs_h_dst_exists_resultrowrow_sumsumpositive_body_steps_successor. fs_h_dst_exists_resultrowrow_sumsumpositive_body_steps_successor + S (fs_s_dst_exists_resultrowrow_sumsumpositive_body_steps) = S ((S (S fs_i_dst_exists_resultrowrow_sumsumpositive_body_steps)) * fs_v_dst_exists_resultrowrow_sumsumpositive)) /\ exists fs_q_dst_exists_resultrowrow_sumsumpositive_body_steps_successor. fs_u_dst_exists_resultrowrow_sumsumpositive = fs_q_dst_exists_resultrowrow_sumsumpositive_body_steps_successor * S ((S (S fs_i_dst_exists_resultrowrow_sumsumpositive_body_steps)) * fs_v_dst_exists_resultrowrow_sumsumpositive) + (fs_s_dst_exists_resultrowrow_sumsumpositive_body_steps))) /\ fs_s_dst_exists_resultrowrow_sumsumpositive_body_steps = fs_r_dst_exists_resultrowrow_sumsumpositive_body_steps + fs_a_dst_exists_resultrowrow_sumsumpositive_body_steps)))))) /\ (((exists fs_u_dst_exists_resultrowrow_sumsumnegative fs_v_dst_exists_resultrowrow_sumsumnegative. ((((exists fs_h_dst_exists_resultrowrow_sumsumnegative_body_start. fs_h_dst_exists_resultrowrow_sumsumnegative_body_start + S (0) = S ((S (0)) * fs_v_dst_exists_resultrowrow_sumsumnegative)) /\ exists fs_q_dst_exists_resultrowrow_sumsumnegative_body_start. fs_u_dst_exists_resultrowrow_sumsumnegative = fs_q_dst_exists_resultrowrow_sumsumnegative_body_start * S ((S (0)) * fs_v_dst_exists_resultrowrow_sumsumnegative) + (0))) /\ ((((exists fs_h_dst_exists_resultrowrow_sumsumnegative_body_terminal. fs_h_dst_exists_resultrowrow_sumsumnegative_body_terminal + S (dst_negative_sum_exists_resultrowrow_sumsum) = S ((S (n)) * fs_v_dst_exists_resultrowrow_sumsumnegative)) /\ exists fs_q_dst_exists_resultrowrow_sumsumnegative_body_terminal. fs_u_dst_exists_resultrowrow_sumsumnegative = fs_q_dst_exists_resultrowrow_sumsumnegative_body_terminal * S ((S (n)) * fs_v_dst_exists_resultrowrow_sumsumnegative) + (dst_negative_sum_exists_resultrowrow_sumsum))) /\ forall fs_i_dst_exists_resultrowrow_sumsumnegative_body_steps. (exists fs_lt_dst_exists_resultrowrow_sumsumnegative_body_steps_bound. fs_lt_dst_exists_resultrowrow_sumsumnegative_body_steps_bound + S fs_i_dst_exists_resultrowrow_sumsumnegative_body_steps = n) -> exists fs_a_dst_exists_resultrowrow_sumsumnegative_body_steps fs_r_dst_exists_resultrowrow_sumsumnegative_body_steps fs_s_dst_exists_resultrowrow_sumsumnegative_body_steps. ((((exists fs_h_dst_exists_resultrowrow_sumsumnegative_body_steps_summand. fs_h_dst_exists_resultrowrow_sumsumnegative_body_steps_summand + S (fs_a_dst_exists_resultrowrow_sumsumnegative_body_steps) = S ((S (fs_i_dst_exists_resultrowrow_sumsumnegative_body_steps)) * dst_negative_scale_exists_resultrowrow_sumsum)) /\ exists fs_q_dst_exists_resultrowrow_sumsumnegative_body_steps_summand. dst_negative_code_exists_resultrowrow_sumsum = fs_q_dst_exists_resultrowrow_sumsumnegative_body_steps_summand * S ((S (fs_i_dst_exists_resultrowrow_sumsumnegative_body_steps)) * dst_negative_scale_exists_resultrowrow_sumsum) + (fs_a_dst_exists_resultrowrow_sumsumnegative_body_steps))) /\ ((((exists fs_h_dst_exists_resultrowrow_sumsumnegative_body_steps_partial. fs_h_dst_exists_resultrowrow_sumsumnegative_body_steps_partial + S (fs_r_dst_exists_resultrowrow_sumsumnegative_body_steps) = S ((S (fs_i_dst_exists_resultrowrow_sumsumnegative_body_steps)) * fs_v_dst_exists_resultrowrow_sumsumnegative)) /\ exists fs_q_dst_exists_resultrowrow_sumsumnegative_body_steps_partial. fs_u_dst_exists_resultrowrow_sumsumnegative = fs_q_dst_exists_resultrowrow_sumsumnegative_body_steps_partial * S ((S (fs_i_dst_exists_resultrowrow_sumsumnegative_body_steps)) * fs_v_dst_exists_resultrowrow_sumsumnegative) + (fs_r_dst_exists_resultrowrow_sumsumnegative_body_steps))) /\ ((((exists fs_h_dst_exists_resultrowrow_sumsumnegative_body_steps_successor. fs_h_dst_exists_resultrowrow_sumsumnegative_body_steps_successor + S (fs_s_dst_exists_resultrowrow_sumsumnegative_body_steps) = S ((S (S fs_i_dst_exists_resultrowrow_sumsumnegative_body_steps)) * fs_v_dst_exists_resultrowrow_sumsumnegative)) /\ exists fs_q_dst_exists_resultrowrow_sumsumnegative_body_steps_successor. fs_u_dst_exists_resultrowrow_sumsumnegative = fs_q_dst_exists_resultrowrow_sumsumnegative_body_steps_successor * S ((S (S fs_i_dst_exists_resultrowrow_sumsumnegative_body_steps)) * fs_v_dst_exists_resultrowrow_sumsumnegative) + (fs_s_dst_exists_resultrowrow_sumsumnegative_body_steps))) /\ fs_s_dst_exists_resultrowrow_sumsumnegative_body_steps = fs_r_dst_exists_resultrowrow_sumsumnegative_body_steps + fs_a_dst_exists_resultrowrow_sumsumnegative_body_steps)))))) /\ (exists ge_balance_positive_exists_resultrowrow_sumsumresult ge_balance_negative_exists_resultrowrow_sumsumresult. (((((srt_value_exists_result) = 2 * (ge_balance_positive_exists_resultrowrow_sumsumresult) /\ (ge_balance_negative_exists_resultrowrow_sumsumresult) = 0) \/ exists ge_signed_half_exists_resultrowrow_sumsumresultdecode. (((srt_value_exists_result) = 2 * ge_signed_half_exists_resultrowrow_sumsumresultdecode + 1 /\ (ge_balance_positive_exists_resultrowrow_sumsumresult) = 0) /\ (ge_balance_negative_exists_resultrowrow_sumsumresult) = S ge_signed_half_exists_resultrowrow_sumsumresultdecode))) /\ ((dst_positive_sum_exists_resultrowrow_sumsum) + ge_balance_negative_exists_resultrowrow_sumsumresult = (dst_negative_sum_exists_resultrowrow_sumsum) + ge_balance_positive_exists_resultrowrow_sumsumresult))))))))))))))))))