dirichlet_coprime_product_data_construct

Exact expanded first-order arithmetic statement

forall N F G m n A B Q. (((~((N)=0)) /\ (((exists dst_positive_code_data_source_Ftable dst_positive_scale_data_source_Ftable dst_negative_code_data_source_Ftable dst_negative_scale_data_source_Ftable. (((F) = (((((dst_positive_code_data_source_Ftable) + (dst_positive_scale_data_source_Ftable)) * S ((dst_positive_code_data_source_Ftable) + (dst_positive_scale_data_source_Ftable)) + ((dst_positive_scale_data_source_Ftable) + (dst_positive_scale_data_source_Ftable))) + (((dst_negative_code_data_source_Ftable) + (dst_negative_scale_data_source_Ftable)) * S ((dst_negative_code_data_source_Ftable) + (dst_negative_scale_data_source_Ftable)) + ((dst_negative_scale_data_source_Ftable) + (dst_negative_scale_data_source_Ftable)))) * S ((((dst_positive_code_data_source_Ftable) + (dst_positive_scale_data_source_Ftable)) * S ((dst_positive_code_data_source_Ftable) + (dst_positive_scale_data_source_Ftable)) + ((dst_positive_scale_data_source_Ftable) + (dst_positive_scale_data_source_Ftable))) + (((dst_negative_code_data_source_Ftable) + (dst_negative_scale_data_source_Ftable)) * S ((dst_negative_code_data_source_Ftable) + (dst_negative_scale_data_source_Ftable)) + ((dst_negative_scale_data_source_Ftable) + (dst_negative_scale_data_source_Ftable)))) + ((((dst_negative_code_data_source_Ftable) + (dst_negative_scale_data_source_Ftable)) * S ((dst_negative_code_data_source_Ftable) + (dst_negative_scale_data_source_Ftable)) + ((dst_negative_scale_data_source_Ftable) + (dst_negative_scale_data_source_Ftable))) + (((dst_negative_code_data_source_Ftable) + (dst_negative_scale_data_source_Ftable)) * S ((dst_negative_code_data_source_Ftable) + (dst_negative_scale_data_source_Ftable)) + ((dst_negative_scale_data_source_Ftable) + (dst_negative_scale_data_source_Ftable)))))) /\ (forall dst_index_data_source_Ftable. (exists pvs_le_gap_data_source_Ftabledomain. pvs_le_gap_data_source_Ftabledomain + (dst_index_data_source_Ftable) = (N)) -> exists dst_positive_data_source_Ftable dst_negative_data_source_Ftable dst_value_data_source_Ftable. ((((exists ff_h_pvs_data_source_Ftableentrypositive. ff_h_pvs_data_source_Ftableentrypositive + S (dst_positive_data_source_Ftable) = S ((S (dst_index_data_source_Ftable)) * dst_positive_scale_data_source_Ftable)) /\ exists ff_q_pvs_data_source_Ftableentrypositive. dst_positive_code_data_source_Ftable = ff_q_pvs_data_source_Ftableentrypositive * S ((S (dst_index_data_source_Ftable)) * dst_positive_scale_data_source_Ftable) + (dst_positive_data_source_Ftable))) /\ (((((exists ff_h_pvs_data_source_Ftableentrynegative. ff_h_pvs_data_source_Ftableentrynegative + S (dst_negative_data_source_Ftable) = S ((S (dst_index_data_source_Ftable)) * dst_negative_scale_data_source_Ftable)) /\ exists ff_q_pvs_data_source_Ftableentrynegative. dst_negative_code_data_source_Ftable = ff_q_pvs_data_source_Ftableentrynegative * S ((S (dst_index_data_source_Ftable)) * dst_negative_scale_data_source_Ftable) + (dst_negative_data_source_Ftable))) /\ (exists ge_balance_positive_data_source_Ftableentryvalue ge_balance_negative_data_source_Ftableentryvalue. (((((dst_value_data_source_Ftable) = 2 * (ge_balance_positive_data_source_Ftableentryvalue) /\ (ge_balance_negative_data_source_Ftableentryvalue) = 0) \/ exists ge_signed_half_data_source_Ftableentryvaluedecode. (((dst_value_data_source_Ftable) = 2 * ge_signed_half_data_source_Ftableentryvaluedecode + 1 /\ (ge_balance_positive_data_source_Ftableentryvalue) = 0) /\ (ge_balance_negative_data_source_Ftableentryvalue) = S ge_signed_half_data_source_Ftableentryvaluedecode))) /\ ((dst_positive_data_source_Ftable) + ge_balance_negative_data_source_Ftableentryvalue = (dst_negative_data_source_Ftable) + ge_balance_positive_data_source_Ftableentryvalue))))))))) /\ (((exists dst_positive_code_data_source_Fone dst_positive_scale_data_source_Fone dst_negative_code_data_source_Fone dst_negative_scale_data_source_Fone dst_positive_data_source_Fone dst_negative_data_source_Fone. (((F) = (((((dst_positive_code_data_source_Fone) + (dst_positive_scale_data_source_Fone)) * S ((dst_positive_code_data_source_Fone) + (dst_positive_scale_data_source_Fone)) + ((dst_positive_scale_data_source_Fone) + (dst_positive_scale_data_source_Fone))) + (((dst_negative_code_data_source_Fone) + (dst_negative_scale_data_source_Fone)) * S ((dst_negative_code_data_source_Fone) + (dst_negative_scale_data_source_Fone)) + ((dst_negative_scale_data_source_Fone) + (dst_negative_scale_data_source_Fone)))) * S ((((dst_positive_code_data_source_Fone) + (dst_positive_scale_data_source_Fone)) * S ((dst_positive_code_data_source_Fone) + (dst_positive_scale_data_source_Fone)) + ((dst_positive_scale_data_source_Fone) + (dst_positive_scale_data_source_Fone))) + (((dst_negative_code_data_source_Fone) + (dst_negative_scale_data_source_Fone)) * S ((dst_negative_code_data_source_Fone) + (dst_negative_scale_data_source_Fone)) + ((dst_negative_scale_data_source_Fone) + (dst_negative_scale_data_source_Fone)))) + ((((dst_negative_code_data_source_Fone) + (dst_negative_scale_data_source_Fone)) * S ((dst_negative_code_data_source_Fone) + (dst_negative_scale_data_source_Fone)) + ((dst_negative_scale_data_source_Fone) + (dst_negative_scale_data_source_Fone))) + (((dst_negative_code_data_source_Fone) + (dst_negative_scale_data_source_Fone)) * S ((dst_negative_code_data_source_Fone) + (dst_negative_scale_data_source_Fone)) + ((dst_negative_scale_data_source_Fone) + (dst_negative_scale_data_source_Fone)))))) /\ (((((exists ff_h_pvs_data_source_Fonepositive. ff_h_pvs_data_source_Fonepositive + S (dst_positive_data_source_Fone) = S ((S (1)) * dst_positive_scale_data_source_Fone)) /\ exists ff_q_pvs_data_source_Fonepositive. dst_positive_code_data_source_Fone = ff_q_pvs_data_source_Fonepositive * S ((S (1)) * dst_positive_scale_data_source_Fone) + (dst_positive_data_source_Fone))) /\ (((((exists ff_h_pvs_data_source_Fonenegative. ff_h_pvs_data_source_Fonenegative + S (dst_negative_data_source_Fone) = S ((S (1)) * dst_negative_scale_data_source_Fone)) /\ exists ff_q_pvs_data_source_Fonenegative. dst_negative_code_data_source_Fone = ff_q_pvs_data_source_Fonenegative * S ((S (1)) * dst_negative_scale_data_source_Fone) + (dst_negative_data_source_Fone))) /\ (exists ge_balance_positive_data_source_Fonevalue ge_balance_negative_data_source_Fonevalue. (((((2) = 2 * (ge_balance_positive_data_source_Fonevalue) /\ (ge_balance_negative_data_source_Fonevalue) = 0) \/ exists ge_signed_half_data_source_Fonevaluedecode. (((2) = 2 * ge_signed_half_data_source_Fonevaluedecode + 1 /\ (ge_balance_positive_data_source_Fonevalue) = 0) /\ (ge_balance_negative_data_source_Fonevalue) = S ge_signed_half_data_source_Fonevaluedecode))) /\ ((dst_positive_data_source_Fone) + ge_balance_negative_data_source_Fonevalue = (dst_negative_data_source_Fone) + ge_balance_positive_data_source_Fonevalue))))))))) /\ (forall mp_a_data_source_F mp_b_data_source_F mp_x_data_source_F mp_y_data_source_F mp_z_data_source_F. ~(mp_a_data_source_F=0) -> ~(mp_b_data_source_F=0) -> (exists pvs_le_gap_data_source_Fbound. pvs_le_gap_data_source_Fbound + (mp_a_data_source_F*mp_b_data_source_F) = (N)) -> (forall frp_divisor_data_source_Fcoprime. (exists frp_left_factor_data_source_Fcoprime. mp_a_data_source_F = frp_divisor_data_source_Fcoprime * frp_left_factor_data_source_Fcoprime) -> (exists frp_right_factor_data_source_Fcoprime. mp_b_data_source_F = frp_divisor_data_source_Fcoprime * frp_right_factor_data_source_Fcoprime) -> frp_divisor_data_source_Fcoprime = 1) -> (exists dst_positive_code_data_source_Ffirst dst_positive_scale_data_source_Ffirst dst_negative_code_data_source_Ffirst dst_negative_scale_data_source_Ffirst dst_positive_data_source_Ffirst dst_negative_data_source_Ffirst. (((F) = (((((dst_positive_code_data_source_Ffirst) + (dst_positive_scale_data_source_Ffirst)) * S ((dst_positive_code_data_source_Ffirst) + (dst_positive_scale_data_source_Ffirst)) + ((dst_positive_scale_data_source_Ffirst) + (dst_positive_scale_data_source_Ffirst))) + (((dst_negative_code_data_source_Ffirst) + (dst_negative_scale_data_source_Ffirst)) * S ((dst_negative_code_data_source_Ffirst) + (dst_negative_scale_data_source_Ffirst)) + ((dst_negative_scale_data_source_Ffirst) + (dst_negative_scale_data_source_Ffirst)))) * S ((((dst_positive_code_data_source_Ffirst) + (dst_positive_scale_data_source_Ffirst)) * S ((dst_positive_code_data_source_Ffirst) + (dst_positive_scale_data_source_Ffirst)) + ((dst_positive_scale_data_source_Ffirst) + (dst_positive_scale_data_source_Ffirst))) + (((dst_negative_code_data_source_Ffirst) + (dst_negative_scale_data_source_Ffirst)) * S ((dst_negative_code_data_source_Ffirst) + (dst_negative_scale_data_source_Ffirst)) + ((dst_negative_scale_data_source_Ffirst) + (dst_negative_scale_data_source_Ffirst)))) + ((((dst_negative_code_data_source_Ffirst) + (dst_negative_scale_data_source_Ffirst)) * S ((dst_negative_code_data_source_Ffirst) + (dst_negative_scale_data_source_Ffirst)) + ((dst_negative_scale_data_source_Ffirst) + (dst_negative_scale_data_source_Ffirst))) + (((dst_negative_code_data_source_Ffirst) + (dst_negative_scale_data_source_Ffirst)) * S ((dst_negative_code_data_source_Ffirst) + (dst_negative_scale_data_source_Ffirst)) + ((dst_negative_scale_data_source_Ffirst) + (dst_negative_scale_data_source_Ffirst)))))) /\ (((((exists ff_h_pvs_data_source_Ffirstpositive. ff_h_pvs_data_source_Ffirstpositive + S (dst_positive_data_source_Ffirst) = S ((S (mp_a_data_source_F)) * dst_positive_scale_data_source_Ffirst)) /\ exists ff_q_pvs_data_source_Ffirstpositive. dst_positive_code_data_source_Ffirst = ff_q_pvs_data_source_Ffirstpositive * S ((S (mp_a_data_source_F)) * dst_positive_scale_data_source_Ffirst) + (dst_positive_data_source_Ffirst))) /\ (((((exists ff_h_pvs_data_source_Ffirstnegative. ff_h_pvs_data_source_Ffirstnegative + S (dst_negative_data_source_Ffirst) = S ((S (mp_a_data_source_F)) * dst_negative_scale_data_source_Ffirst)) /\ exists ff_q_pvs_data_source_Ffirstnegative. dst_negative_code_data_source_Ffirst = ff_q_pvs_data_source_Ffirstnegative * S ((S (mp_a_data_source_F)) * dst_negative_scale_data_source_Ffirst) + (dst_negative_data_source_Ffirst))) /\ (exists ge_balance_positive_data_source_Ffirstvalue ge_balance_negative_data_source_Ffirstvalue. (((((mp_x_data_source_F) = 2 * (ge_balance_positive_data_source_Ffirstvalue) /\ (ge_balance_negative_data_source_Ffirstvalue) = 0) \/ exists ge_signed_half_data_source_Ffirstvaluedecode. (((mp_x_data_source_F) = 2 * ge_signed_half_data_source_Ffirstvaluedecode + 1 /\ (ge_balance_positive_data_source_Ffirstvalue) = 0) /\ (ge_balance_negative_data_source_Ffirstvalue) = S ge_signed_half_data_source_Ffirstvaluedecode))) /\ ((dst_positive_data_source_Ffirst) + ge_balance_negative_data_source_Ffirstvalue = (dst_negative_data_source_Ffirst) + ge_balance_positive_data_source_Ffirstvalue))))))))) -> (exists dst_positive_code_data_source_Fsecond dst_positive_scale_data_source_Fsecond dst_negative_code_data_source_Fsecond dst_negative_scale_data_source_Fsecond dst_positive_data_source_Fsecond dst_negative_data_source_Fsecond. (((F) = (((((dst_positive_code_data_source_Fsecond) + (dst_positive_scale_data_source_Fsecond)) * S ((dst_positive_code_data_source_Fsecond) + (dst_positive_scale_data_source_Fsecond)) + ((dst_positive_scale_data_source_Fsecond) + (dst_positive_scale_data_source_Fsecond))) + (((dst_negative_code_data_source_Fsecond) + (dst_negative_scale_data_source_Fsecond)) * S ((dst_negative_code_data_source_Fsecond) + (dst_negative_scale_data_source_Fsecond)) + ((dst_negative_scale_data_source_Fsecond) + (dst_negative_scale_data_source_Fsecond)))) * S ((((dst_positive_code_data_source_Fsecond) + (dst_positive_scale_data_source_Fsecond)) * S ((dst_positive_code_data_source_Fsecond) + (dst_positive_scale_data_source_Fsecond)) + ((dst_positive_scale_data_source_Fsecond) + (dst_positive_scale_data_source_Fsecond))) + (((dst_negative_code_data_source_Fsecond) + (dst_negative_scale_data_source_Fsecond)) * S ((dst_negative_code_data_source_Fsecond) + (dst_negative_scale_data_source_Fsecond)) + ((dst_negative_scale_data_source_Fsecond) + (dst_negative_scale_data_source_Fsecond)))) + ((((dst_negative_code_data_source_Fsecond) + (dst_negative_scale_data_source_Fsecond)) * S ((dst_negative_code_data_source_Fsecond) + (dst_negative_scale_data_source_Fsecond)) + ((dst_negative_scale_data_source_Fsecond) + (dst_negative_scale_data_source_Fsecond))) + (((dst_negative_code_data_source_Fsecond) + (dst_negative_scale_data_source_Fsecond)) * S ((dst_negative_code_data_source_Fsecond) + (dst_negative_scale_data_source_Fsecond)) + ((dst_negative_scale_data_source_Fsecond) + (dst_negative_scale_data_source_Fsecond)))))) /\ (((((exists ff_h_pvs_data_source_Fsecondpositive. ff_h_pvs_data_source_Fsecondpositive + S (dst_positive_data_source_Fsecond) = S ((S (mp_b_data_source_F)) * dst_positive_scale_data_source_Fsecond)) /\ exists ff_q_pvs_data_source_Fsecondpositive. dst_positive_code_data_source_Fsecond = ff_q_pvs_data_source_Fsecondpositive * S ((S (mp_b_data_source_F)) * dst_positive_scale_data_source_Fsecond) + (dst_positive_data_source_Fsecond))) /\ (((((exists ff_h_pvs_data_source_Fsecondnegative. ff_h_pvs_data_source_Fsecondnegative + S (dst_negative_data_source_Fsecond) = S ((S (mp_b_data_source_F)) * dst_negative_scale_data_source_Fsecond)) /\ exists ff_q_pvs_data_source_Fsecondnegative. dst_negative_code_data_source_Fsecond = ff_q_pvs_data_source_Fsecondnegative * S ((S (mp_b_data_source_F)) * dst_negative_scale_data_source_Fsecond) + (dst_negative_data_source_Fsecond))) /\ (exists ge_balance_positive_data_source_Fsecondvalue ge_balance_negative_data_source_Fsecondvalue. (((((mp_y_data_source_F) = 2 * (ge_balance_positive_data_source_Fsecondvalue) /\ (ge_balance_negative_data_source_Fsecondvalue) = 0) \/ exists ge_signed_half_data_source_Fsecondvaluedecode. (((mp_y_data_source_F) = 2 * ge_signed_half_data_source_Fsecondvaluedecode + 1 /\ (ge_balance_positive_data_source_Fsecondvalue) = 0) /\ (ge_balance_negative_data_source_Fsecondvalue) = S ge_signed_half_data_source_Fsecondvaluedecode))) /\ ((dst_positive_data_source_Fsecond) + ge_balance_negative_data_source_Fsecondvalue = (dst_negative_data_source_Fsecond) + ge_balance_positive_data_source_Fsecondvalue))))))))) -> (exists dst_positive_code_data_source_Fproduct dst_positive_scale_data_source_Fproduct dst_negative_code_data_source_Fproduct dst_negative_scale_data_source_Fproduct dst_positive_data_source_Fproduct dst_negative_data_source_Fproduct. (((F) = (((((dst_positive_code_data_source_Fproduct) + (dst_positive_scale_data_source_Fproduct)) * S ((dst_positive_code_data_source_Fproduct) + (dst_positive_scale_data_source_Fproduct)) + ((dst_positive_scale_data_source_Fproduct) + (dst_positive_scale_data_source_Fproduct))) + (((dst_negative_code_data_source_Fproduct) + (dst_negative_scale_data_source_Fproduct)) * S ((dst_negative_code_data_source_Fproduct) + (dst_negative_scale_data_source_Fproduct)) + ((dst_negative_scale_data_source_Fproduct) + (dst_negative_scale_data_source_Fproduct)))) * S ((((dst_positive_code_data_source_Fproduct) + (dst_positive_scale_data_source_Fproduct)) * S ((dst_positive_code_data_source_Fproduct) + (dst_positive_scale_data_source_Fproduct)) + ((dst_positive_scale_data_source_Fproduct) + (dst_positive_scale_data_source_Fproduct))) + (((dst_negative_code_data_source_Fproduct) + (dst_negative_scale_data_source_Fproduct)) * S ((dst_negative_code_data_source_Fproduct) + (dst_negative_scale_data_source_Fproduct)) + ((dst_negative_scale_data_source_Fproduct) + (dst_negative_scale_data_source_Fproduct)))) + ((((dst_negative_code_data_source_Fproduct) + (dst_negative_scale_data_source_Fproduct)) * S ((dst_negative_code_data_source_Fproduct) + (dst_negative_scale_data_source_Fproduct)) + ((dst_negative_scale_data_source_Fproduct) + (dst_negative_scale_data_source_Fproduct))) + (((dst_negative_code_data_source_Fproduct) + (dst_negative_scale_data_source_Fproduct)) * S ((dst_negative_code_data_source_Fproduct) + (dst_negative_scale_data_source_Fproduct)) + ((dst_negative_scale_data_source_Fproduct) + (dst_negative_scale_data_source_Fproduct)))))) /\ (((((exists ff_h_pvs_data_source_Fproductpositive. ff_h_pvs_data_source_Fproductpositive + S (dst_positive_data_source_Fproduct) = S ((S (mp_a_data_source_F*mp_b_data_source_F)) * dst_positive_scale_data_source_Fproduct)) /\ exists ff_q_pvs_data_source_Fproductpositive. dst_positive_code_data_source_Fproduct = ff_q_pvs_data_source_Fproductpositive * S ((S (mp_a_data_source_F*mp_b_data_source_F)) * dst_positive_scale_data_source_Fproduct) + (dst_positive_data_source_Fproduct))) /\ (((((exists ff_h_pvs_data_source_Fproductnegative. ff_h_pvs_data_source_Fproductnegative + S (dst_negative_data_source_Fproduct) = S ((S (mp_a_data_source_F*mp_b_data_source_F)) * dst_negative_scale_data_source_Fproduct)) /\ exists ff_q_pvs_data_source_Fproductnegative. dst_negative_code_data_source_Fproduct = ff_q_pvs_data_source_Fproductnegative * S ((S (mp_a_data_source_F*mp_b_data_source_F)) * dst_negative_scale_data_source_Fproduct) + (dst_negative_data_source_Fproduct))) /\ (exists ge_balance_positive_data_source_Fproductvalue ge_balance_negative_data_source_Fproductvalue. (((((mp_z_data_source_F) = 2 * (ge_balance_positive_data_source_Fproductvalue) /\ (ge_balance_negative_data_source_Fproductvalue) = 0) \/ exists ge_signed_half_data_source_Fproductvaluedecode. (((mp_z_data_source_F) = 2 * ge_signed_half_data_source_Fproductvaluedecode + 1 /\ (ge_balance_positive_data_source_Fproductvalue) = 0) /\ (ge_balance_negative_data_source_Fproductvalue) = S ge_signed_half_data_source_Fproductvaluedecode))) /\ ((dst_positive_data_source_Fproduct) + ge_balance_negative_data_source_Fproductvalue = (dst_negative_data_source_Fproduct) + ge_balance_positive_data_source_Fproductvalue))))))))) -> (exists sto_ap_data_source_Flaw sto_an_data_source_Flaw sto_bp_data_source_Flaw sto_bn_data_source_Flaw sto_cp_data_source_Flaw sto_cn_data_source_Flaw. (((((mp_x_data_source_F) = 2 * (sto_ap_data_source_Flaw) /\ (sto_an_data_source_Flaw) = 0) \/ exists ge_signed_half_data_source_Flawleft. (((mp_x_data_source_F) = 2 * ge_signed_half_data_source_Flawleft + 1 /\ (sto_ap_data_source_Flaw) = 0) /\ (sto_an_data_source_Flaw) = S ge_signed_half_data_source_Flawleft))) /\ ((((((mp_y_data_source_F) = 2 * (sto_bp_data_source_Flaw) /\ (sto_bn_data_source_Flaw) = 0) \/ exists ge_signed_half_data_source_Flawright. (((mp_y_data_source_F) = 2 * ge_signed_half_data_source_Flawright + 1 /\ (sto_bp_data_source_Flaw) = 0) /\ (sto_bn_data_source_Flaw) = S ge_signed_half_data_source_Flawright))) /\ ((((((mp_z_data_source_F) = 2 * (sto_cp_data_source_Flaw) /\ (sto_cn_data_source_Flaw) = 0) \/ exists ge_signed_half_data_source_Flawoutput. (((mp_z_data_source_F) = 2 * ge_signed_half_data_source_Flawoutput + 1 /\ (sto_cp_data_source_Flaw) = 0) /\ (sto_cn_data_source_Flaw) = S ge_signed_half_data_source_Flawoutput))) /\ ((sto_ap_data_source_Flaw * sto_bp_data_source_Flaw + sto_an_data_source_Flaw * sto_bn_data_source_Flaw) + sto_cn_data_source_Flaw = (sto_ap_data_source_Flaw * sto_bn_data_source_Flaw + sto_an_data_source_Flaw * sto_bp_data_source_Flaw) + sto_cp_data_source_Flaw)))))))))))))) -> (((~((N)=0)) /\ (((exists dst_positive_code_data_source_Gtable dst_positive_scale_data_source_Gtable dst_negative_code_data_source_Gtable dst_negative_scale_data_source_Gtable. (((G) = (((((dst_positive_code_data_source_Gtable) + (dst_positive_scale_data_source_Gtable)) * S ((dst_positive_code_data_source_Gtable) + (dst_positive_scale_data_source_Gtable)) + ((dst_positive_scale_data_source_Gtable) + (dst_positive_scale_data_source_Gtable))) + (((dst_negative_code_data_source_Gtable) + (dst_negative_scale_data_source_Gtable)) * S ((dst_negative_code_data_source_Gtable) + (dst_negative_scale_data_source_Gtable)) + ((dst_negative_scale_data_source_Gtable) + (dst_negative_scale_data_source_Gtable)))) * S ((((dst_positive_code_data_source_Gtable) + (dst_positive_scale_data_source_Gtable)) * S ((dst_positive_code_data_source_Gtable) + (dst_positive_scale_data_source_Gtable)) + ((dst_positive_scale_data_source_Gtable) + (dst_positive_scale_data_source_Gtable))) + (((dst_negative_code_data_source_Gtable) + (dst_negative_scale_data_source_Gtable)) * S ((dst_negative_code_data_source_Gtable) + (dst_negative_scale_data_source_Gtable)) + ((dst_negative_scale_data_source_Gtable) + (dst_negative_scale_data_source_Gtable)))) + ((((dst_negative_code_data_source_Gtable) + (dst_negative_scale_data_source_Gtable)) * S ((dst_negative_code_data_source_Gtable) + (dst_negative_scale_data_source_Gtable)) + ((dst_negative_scale_data_source_Gtable) + (dst_negative_scale_data_source_Gtable))) + (((dst_negative_code_data_source_Gtable) + (dst_negative_scale_data_source_Gtable)) * S ((dst_negative_code_data_source_Gtable) + (dst_negative_scale_data_source_Gtable)) + ((dst_negative_scale_data_source_Gtable) + (dst_negative_scale_data_source_Gtable)))))) /\ (forall dst_index_data_source_Gtable. (exists pvs_le_gap_data_source_Gtabledomain. pvs_le_gap_data_source_Gtabledomain + (dst_index_data_source_Gtable) = (N)) -> exists dst_positive_data_source_Gtable dst_negative_data_source_Gtable dst_value_data_source_Gtable. ((((exists ff_h_pvs_data_source_Gtableentrypositive. ff_h_pvs_data_source_Gtableentrypositive + S (dst_positive_data_source_Gtable) = S ((S (dst_index_data_source_Gtable)) * dst_positive_scale_data_source_Gtable)) /\ exists ff_q_pvs_data_source_Gtableentrypositive. dst_positive_code_data_source_Gtable = ff_q_pvs_data_source_Gtableentrypositive * S ((S (dst_index_data_source_Gtable)) * dst_positive_scale_data_source_Gtable) + (dst_positive_data_source_Gtable))) /\ (((((exists ff_h_pvs_data_source_Gtableentrynegative. ff_h_pvs_data_source_Gtableentrynegative + S (dst_negative_data_source_Gtable) = S ((S (dst_index_data_source_Gtable)) * dst_negative_scale_data_source_Gtable)) /\ exists ff_q_pvs_data_source_Gtableentrynegative. dst_negative_code_data_source_Gtable = ff_q_pvs_data_source_Gtableentrynegative * S ((S (dst_index_data_source_Gtable)) * dst_negative_scale_data_source_Gtable) + (dst_negative_data_source_Gtable))) /\ (exists ge_balance_positive_data_source_Gtableentryvalue ge_balance_negative_data_source_Gtableentryvalue. (((((dst_value_data_source_Gtable) = 2 * (ge_balance_positive_data_source_Gtableentryvalue) /\ (ge_balance_negative_data_source_Gtableentryvalue) = 0) \/ exists ge_signed_half_data_source_Gtableentryvaluedecode. (((dst_value_data_source_Gtable) = 2 * ge_signed_half_data_source_Gtableentryvaluedecode + 1 /\ (ge_balance_positive_data_source_Gtableentryvalue) = 0) /\ (ge_balance_negative_data_source_Gtableentryvalue) = S ge_signed_half_data_source_Gtableentryvaluedecode))) /\ ((dst_positive_data_source_Gtable) + ge_balance_negative_data_source_Gtableentryvalue = (dst_negative_data_source_Gtable) + ge_balance_positive_data_source_Gtableentryvalue))))))))) /\ (((exists dst_positive_code_data_source_Gone dst_positive_scale_data_source_Gone dst_negative_code_data_source_Gone dst_negative_scale_data_source_Gone dst_positive_data_source_Gone dst_negative_data_source_Gone. (((G) = (((((dst_positive_code_data_source_Gone) + (dst_positive_scale_data_source_Gone)) * S ((dst_positive_code_data_source_Gone) + (dst_positive_scale_data_source_Gone)) + ((dst_positive_scale_data_source_Gone) + (dst_positive_scale_data_source_Gone))) + (((dst_negative_code_data_source_Gone) + (dst_negative_scale_data_source_Gone)) * S ((dst_negative_code_data_source_Gone) + (dst_negative_scale_data_source_Gone)) + ((dst_negative_scale_data_source_Gone) + (dst_negative_scale_data_source_Gone)))) * S ((((dst_positive_code_data_source_Gone) + (dst_positive_scale_data_source_Gone)) * S ((dst_positive_code_data_source_Gone) + (dst_positive_scale_data_source_Gone)) + ((dst_positive_scale_data_source_Gone) + (dst_positive_scale_data_source_Gone))) + (((dst_negative_code_data_source_Gone) + (dst_negative_scale_data_source_Gone)) * S ((dst_negative_code_data_source_Gone) + (dst_negative_scale_data_source_Gone)) + ((dst_negative_scale_data_source_Gone) + (dst_negative_scale_data_source_Gone)))) + ((((dst_negative_code_data_source_Gone) + (dst_negative_scale_data_source_Gone)) * S ((dst_negative_code_data_source_Gone) + (dst_negative_scale_data_source_Gone)) + ((dst_negative_scale_data_source_Gone) + (dst_negative_scale_data_source_Gone))) + (((dst_negative_code_data_source_Gone) + (dst_negative_scale_data_source_Gone)) * S ((dst_negative_code_data_source_Gone) + (dst_negative_scale_data_source_Gone)) + ((dst_negative_scale_data_source_Gone) + (dst_negative_scale_data_source_Gone)))))) /\ (((((exists ff_h_pvs_data_source_Gonepositive. ff_h_pvs_data_source_Gonepositive + S (dst_positive_data_source_Gone) = S ((S (1)) * dst_positive_scale_data_source_Gone)) /\ exists ff_q_pvs_data_source_Gonepositive. dst_positive_code_data_source_Gone = ff_q_pvs_data_source_Gonepositive * S ((S (1)) * dst_positive_scale_data_source_Gone) + (dst_positive_data_source_Gone))) /\ (((((exists ff_h_pvs_data_source_Gonenegative. ff_h_pvs_data_source_Gonenegative + S (dst_negative_data_source_Gone) = S ((S (1)) * dst_negative_scale_data_source_Gone)) /\ exists ff_q_pvs_data_source_Gonenegative. dst_negative_code_data_source_Gone = ff_q_pvs_data_source_Gonenegative * S ((S (1)) * dst_negative_scale_data_source_Gone) + (dst_negative_data_source_Gone))) /\ (exists ge_balance_positive_data_source_Gonevalue ge_balance_negative_data_source_Gonevalue. (((((2) = 2 * (ge_balance_positive_data_source_Gonevalue) /\ (ge_balance_negative_data_source_Gonevalue) = 0) \/ exists ge_signed_half_data_source_Gonevaluedecode. (((2) = 2 * ge_signed_half_data_source_Gonevaluedecode + 1 /\ (ge_balance_positive_data_source_Gonevalue) = 0) /\ (ge_balance_negative_data_source_Gonevalue) = S ge_signed_half_data_source_Gonevaluedecode))) /\ ((dst_positive_data_source_Gone) + ge_balance_negative_data_source_Gonevalue = (dst_negative_data_source_Gone) + ge_balance_positive_data_source_Gonevalue))))))))) /\ (forall mp_a_data_source_G mp_b_data_source_G mp_x_data_source_G mp_y_data_source_G mp_z_data_source_G. ~(mp_a_data_source_G=0) -> ~(mp_b_data_source_G=0) -> (exists pvs_le_gap_data_source_Gbound. pvs_le_gap_data_source_Gbound + (mp_a_data_source_G*mp_b_data_source_G) = (N)) -> (forall frp_divisor_data_source_Gcoprime. (exists frp_left_factor_data_source_Gcoprime. mp_a_data_source_G = frp_divisor_data_source_Gcoprime * frp_left_factor_data_source_Gcoprime) -> (exists frp_right_factor_data_source_Gcoprime. mp_b_data_source_G = frp_divisor_data_source_Gcoprime * frp_right_factor_data_source_Gcoprime) -> frp_divisor_data_source_Gcoprime = 1) -> (exists dst_positive_code_data_source_Gfirst dst_positive_scale_data_source_Gfirst dst_negative_code_data_source_Gfirst dst_negative_scale_data_source_Gfirst dst_positive_data_source_Gfirst dst_negative_data_source_Gfirst. (((G) = (((((dst_positive_code_data_source_Gfirst) + (dst_positive_scale_data_source_Gfirst)) * S ((dst_positive_code_data_source_Gfirst) + (dst_positive_scale_data_source_Gfirst)) + ((dst_positive_scale_data_source_Gfirst) + (dst_positive_scale_data_source_Gfirst))) + (((dst_negative_code_data_source_Gfirst) + (dst_negative_scale_data_source_Gfirst)) * S ((dst_negative_code_data_source_Gfirst) + (dst_negative_scale_data_source_Gfirst)) + ((dst_negative_scale_data_source_Gfirst) + (dst_negative_scale_data_source_Gfirst)))) * S ((((dst_positive_code_data_source_Gfirst) + (dst_positive_scale_data_source_Gfirst)) * S ((dst_positive_code_data_source_Gfirst) + (dst_positive_scale_data_source_Gfirst)) + ((dst_positive_scale_data_source_Gfirst) + (dst_positive_scale_data_source_Gfirst))) + (((dst_negative_code_data_source_Gfirst) + (dst_negative_scale_data_source_Gfirst)) * S ((dst_negative_code_data_source_Gfirst) + (dst_negative_scale_data_source_Gfirst)) + ((dst_negative_scale_data_source_Gfirst) + (dst_negative_scale_data_source_Gfirst)))) + ((((dst_negative_code_data_source_Gfirst) + (dst_negative_scale_data_source_Gfirst)) * S ((dst_negative_code_data_source_Gfirst) + (dst_negative_scale_data_source_Gfirst)) + ((dst_negative_scale_data_source_Gfirst) + (dst_negative_scale_data_source_Gfirst))) + (((dst_negative_code_data_source_Gfirst) + (dst_negative_scale_data_source_Gfirst)) * S ((dst_negative_code_data_source_Gfirst) + (dst_negative_scale_data_source_Gfirst)) + ((dst_negative_scale_data_source_Gfirst) + (dst_negative_scale_data_source_Gfirst)))))) /\ (((((exists ff_h_pvs_data_source_Gfirstpositive. ff_h_pvs_data_source_Gfirstpositive + S (dst_positive_data_source_Gfirst) = S ((S (mp_a_data_source_G)) * dst_positive_scale_data_source_Gfirst)) /\ exists ff_q_pvs_data_source_Gfirstpositive. dst_positive_code_data_source_Gfirst = ff_q_pvs_data_source_Gfirstpositive * S ((S (mp_a_data_source_G)) * dst_positive_scale_data_source_Gfirst) + (dst_positive_data_source_Gfirst))) /\ (((((exists ff_h_pvs_data_source_Gfirstnegative. ff_h_pvs_data_source_Gfirstnegative + S (dst_negative_data_source_Gfirst) = S ((S (mp_a_data_source_G)) * dst_negative_scale_data_source_Gfirst)) /\ exists ff_q_pvs_data_source_Gfirstnegative. dst_negative_code_data_source_Gfirst = ff_q_pvs_data_source_Gfirstnegative * S ((S (mp_a_data_source_G)) * dst_negative_scale_data_source_Gfirst) + (dst_negative_data_source_Gfirst))) /\ (exists ge_balance_positive_data_source_Gfirstvalue ge_balance_negative_data_source_Gfirstvalue. (((((mp_x_data_source_G) = 2 * (ge_balance_positive_data_source_Gfirstvalue) /\ (ge_balance_negative_data_source_Gfirstvalue) = 0) \/ exists ge_signed_half_data_source_Gfirstvaluedecode. (((mp_x_data_source_G) = 2 * ge_signed_half_data_source_Gfirstvaluedecode + 1 /\ (ge_balance_positive_data_source_Gfirstvalue) = 0) /\ (ge_balance_negative_data_source_Gfirstvalue) = S ge_signed_half_data_source_Gfirstvaluedecode))) /\ ((dst_positive_data_source_Gfirst) + ge_balance_negative_data_source_Gfirstvalue = (dst_negative_data_source_Gfirst) + ge_balance_positive_data_source_Gfirstvalue))))))))) -> (exists dst_positive_code_data_source_Gsecond dst_positive_scale_data_source_Gsecond dst_negative_code_data_source_Gsecond dst_negative_scale_data_source_Gsecond dst_positive_data_source_Gsecond dst_negative_data_source_Gsecond. (((G) = (((((dst_positive_code_data_source_Gsecond) + (dst_positive_scale_data_source_Gsecond)) * S ((dst_positive_code_data_source_Gsecond) + (dst_positive_scale_data_source_Gsecond)) + ((dst_positive_scale_data_source_Gsecond) + (dst_positive_scale_data_source_Gsecond))) + (((dst_negative_code_data_source_Gsecond) + (dst_negative_scale_data_source_Gsecond)) * S ((dst_negative_code_data_source_Gsecond) + (dst_negative_scale_data_source_Gsecond)) + ((dst_negative_scale_data_source_Gsecond) + (dst_negative_scale_data_source_Gsecond)))) * S ((((dst_positive_code_data_source_Gsecond) + (dst_positive_scale_data_source_Gsecond)) * S ((dst_positive_code_data_source_Gsecond) + (dst_positive_scale_data_source_Gsecond)) + ((dst_positive_scale_data_source_Gsecond) + (dst_positive_scale_data_source_Gsecond))) + (((dst_negative_code_data_source_Gsecond) + (dst_negative_scale_data_source_Gsecond)) * S ((dst_negative_code_data_source_Gsecond) + (dst_negative_scale_data_source_Gsecond)) + ((dst_negative_scale_data_source_Gsecond) + (dst_negative_scale_data_source_Gsecond)))) + ((((dst_negative_code_data_source_Gsecond) + (dst_negative_scale_data_source_Gsecond)) * S ((dst_negative_code_data_source_Gsecond) + (dst_negative_scale_data_source_Gsecond)) + ((dst_negative_scale_data_source_Gsecond) + (dst_negative_scale_data_source_Gsecond))) + (((dst_negative_code_data_source_Gsecond) + (dst_negative_scale_data_source_Gsecond)) * S ((dst_negative_code_data_source_Gsecond) + (dst_negative_scale_data_source_Gsecond)) + ((dst_negative_scale_data_source_Gsecond) + (dst_negative_scale_data_source_Gsecond)))))) /\ (((((exists ff_h_pvs_data_source_Gsecondpositive. ff_h_pvs_data_source_Gsecondpositive + S (dst_positive_data_source_Gsecond) = S ((S (mp_b_data_source_G)) * dst_positive_scale_data_source_Gsecond)) /\ exists ff_q_pvs_data_source_Gsecondpositive. dst_positive_code_data_source_Gsecond = ff_q_pvs_data_source_Gsecondpositive * S ((S (mp_b_data_source_G)) * dst_positive_scale_data_source_Gsecond) + (dst_positive_data_source_Gsecond))) /\ (((((exists ff_h_pvs_data_source_Gsecondnegative. ff_h_pvs_data_source_Gsecondnegative + S (dst_negative_data_source_Gsecond) = S ((S (mp_b_data_source_G)) * dst_negative_scale_data_source_Gsecond)) /\ exists ff_q_pvs_data_source_Gsecondnegative. dst_negative_code_data_source_Gsecond = ff_q_pvs_data_source_Gsecondnegative * S ((S (mp_b_data_source_G)) * dst_negative_scale_data_source_Gsecond) + (dst_negative_data_source_Gsecond))) /\ (exists ge_balance_positive_data_source_Gsecondvalue ge_balance_negative_data_source_Gsecondvalue. (((((mp_y_data_source_G) = 2 * (ge_balance_positive_data_source_Gsecondvalue) /\ (ge_balance_negative_data_source_Gsecondvalue) = 0) \/ exists ge_signed_half_data_source_Gsecondvaluedecode. (((mp_y_data_source_G) = 2 * ge_signed_half_data_source_Gsecondvaluedecode + 1 /\ (ge_balance_positive_data_source_Gsecondvalue) = 0) /\ (ge_balance_negative_data_source_Gsecondvalue) = S ge_signed_half_data_source_Gsecondvaluedecode))) /\ ((dst_positive_data_source_Gsecond) + ge_balance_negative_data_source_Gsecondvalue = (dst_negative_data_source_Gsecond) + ge_balance_positive_data_source_Gsecondvalue))))))))) -> (exists dst_positive_code_data_source_Gproduct dst_positive_scale_data_source_Gproduct dst_negative_code_data_source_Gproduct dst_negative_scale_data_source_Gproduct dst_positive_data_source_Gproduct dst_negative_data_source_Gproduct. (((G) = (((((dst_positive_code_data_source_Gproduct) + (dst_positive_scale_data_source_Gproduct)) * S ((dst_positive_code_data_source_Gproduct) + (dst_positive_scale_data_source_Gproduct)) + ((dst_positive_scale_data_source_Gproduct) + (dst_positive_scale_data_source_Gproduct))) + (((dst_negative_code_data_source_Gproduct) + (dst_negative_scale_data_source_Gproduct)) * S ((dst_negative_code_data_source_Gproduct) + (dst_negative_scale_data_source_Gproduct)) + ((dst_negative_scale_data_source_Gproduct) + (dst_negative_scale_data_source_Gproduct)))) * S ((((dst_positive_code_data_source_Gproduct) + (dst_positive_scale_data_source_Gproduct)) * S ((dst_positive_code_data_source_Gproduct) + (dst_positive_scale_data_source_Gproduct)) + ((dst_positive_scale_data_source_Gproduct) + (dst_positive_scale_data_source_Gproduct))) + (((dst_negative_code_data_source_Gproduct) + (dst_negative_scale_data_source_Gproduct)) * S ((dst_negative_code_data_source_Gproduct) + (dst_negative_scale_data_source_Gproduct)) + ((dst_negative_scale_data_source_Gproduct) + (dst_negative_scale_data_source_Gproduct)))) + ((((dst_negative_code_data_source_Gproduct) + (dst_negative_scale_data_source_Gproduct)) * S ((dst_negative_code_data_source_Gproduct) + (dst_negative_scale_data_source_Gproduct)) + ((dst_negative_scale_data_source_Gproduct) + (dst_negative_scale_data_source_Gproduct))) + (((dst_negative_code_data_source_Gproduct) + (dst_negative_scale_data_source_Gproduct)) * S ((dst_negative_code_data_source_Gproduct) + (dst_negative_scale_data_source_Gproduct)) + ((dst_negative_scale_data_source_Gproduct) + (dst_negative_scale_data_source_Gproduct)))))) /\ (((((exists ff_h_pvs_data_source_Gproductpositive. ff_h_pvs_data_source_Gproductpositive + S (dst_positive_data_source_Gproduct) = S ((S (mp_a_data_source_G*mp_b_data_source_G)) * dst_positive_scale_data_source_Gproduct)) /\ exists ff_q_pvs_data_source_Gproductpositive. dst_positive_code_data_source_Gproduct = ff_q_pvs_data_source_Gproductpositive * S ((S (mp_a_data_source_G*mp_b_data_source_G)) * dst_positive_scale_data_source_Gproduct) + (dst_positive_data_source_Gproduct))) /\ (((((exists ff_h_pvs_data_source_Gproductnegative. ff_h_pvs_data_source_Gproductnegative + S (dst_negative_data_source_Gproduct) = S ((S (mp_a_data_source_G*mp_b_data_source_G)) * dst_negative_scale_data_source_Gproduct)) /\ exists ff_q_pvs_data_source_Gproductnegative. dst_negative_code_data_source_Gproduct = ff_q_pvs_data_source_Gproductnegative * S ((S (mp_a_data_source_G*mp_b_data_source_G)) * dst_negative_scale_data_source_Gproduct) + (dst_negative_data_source_Gproduct))) /\ (exists ge_balance_positive_data_source_Gproductvalue ge_balance_negative_data_source_Gproductvalue. (((((mp_z_data_source_G) = 2 * (ge_balance_positive_data_source_Gproductvalue) /\ (ge_balance_negative_data_source_Gproductvalue) = 0) \/ exists ge_signed_half_data_source_Gproductvaluedecode. (((mp_z_data_source_G) = 2 * ge_signed_half_data_source_Gproductvaluedecode + 1 /\ (ge_balance_positive_data_source_Gproductvalue) = 0) /\ (ge_balance_negative_data_source_Gproductvalue) = S ge_signed_half_data_source_Gproductvaluedecode))) /\ ((dst_positive_data_source_Gproduct) + ge_balance_negative_data_source_Gproductvalue = (dst_negative_data_source_Gproduct) + ge_balance_positive_data_source_Gproductvalue))))))))) -> (exists sto_ap_data_source_Glaw sto_an_data_source_Glaw sto_bp_data_source_Glaw sto_bn_data_source_Glaw sto_cp_data_source_Glaw sto_cn_data_source_Glaw. (((((mp_x_data_source_G) = 2 * (sto_ap_data_source_Glaw) /\ (sto_an_data_source_Glaw) = 0) \/ exists ge_signed_half_data_source_Glawleft. (((mp_x_data_source_G) = 2 * ge_signed_half_data_source_Glawleft + 1 /\ (sto_ap_data_source_Glaw) = 0) /\ (sto_an_data_source_Glaw) = S ge_signed_half_data_source_Glawleft))) /\ ((((((mp_y_data_source_G) = 2 * (sto_bp_data_source_Glaw) /\ (sto_bn_data_source_Glaw) = 0) \/ exists ge_signed_half_data_source_Glawright. (((mp_y_data_source_G) = 2 * ge_signed_half_data_source_Glawright + 1 /\ (sto_bp_data_source_Glaw) = 0) /\ (sto_bn_data_source_Glaw) = S ge_signed_half_data_source_Glawright))) /\ ((((((mp_z_data_source_G) = 2 * (sto_cp_data_source_Glaw) /\ (sto_cn_data_source_Glaw) = 0) \/ exists ge_signed_half_data_source_Glawoutput. (((mp_z_data_source_G) = 2 * ge_signed_half_data_source_Glawoutput + 1 /\ (sto_cp_data_source_Glaw) = 0) /\ (sto_cn_data_source_Glaw) = S ge_signed_half_data_source_Glawoutput))) /\ ((sto_ap_data_source_Glaw * sto_bp_data_source_Glaw + sto_an_data_source_Glaw * sto_bn_data_source_Glaw) + sto_cn_data_source_Glaw = (sto_ap_data_source_Glaw * sto_bn_data_source_Glaw + sto_an_data_source_Glaw * sto_bp_data_source_Glaw) + sto_cp_data_source_Glaw)))))))))))))) -> (~(m=0)) -> (~(n=0)) -> (exists pvs_le_gap_data_source_bound. pvs_le_gap_data_source_bound + (m*n) = (N)) -> (forall sfd_common_divisor_data_source_coprime. (exists pvs_factor_data_source_coprimeleft. (m) = (sfd_common_divisor_data_source_coprime) * pvs_factor_data_source_coprimeleft) -> (exists pvs_factor_data_source_coprimeright. (n) = (sfd_common_divisor_data_source_coprime) * pvs_factor_data_source_coprimeright) -> sfd_common_divisor_data_source_coprime = 1) -> (((exists dst_positive_code_data_source_lefttable dst_positive_scale_data_source_lefttable dst_negative_code_data_source_lefttable dst_negative_scale_data_source_lefttable. (((A) = (((((dst_positive_code_data_source_lefttable) + (dst_positive_scale_data_source_lefttable)) * S ((dst_positive_code_data_source_lefttable) + (dst_positive_scale_data_source_lefttable)) + ((dst_positive_scale_data_source_lefttable) + (dst_positive_scale_data_source_lefttable))) + (((dst_negative_code_data_source_lefttable) + (dst_negative_scale_data_source_lefttable)) * S ((dst_negative_code_data_source_lefttable) + (dst_negative_scale_data_source_lefttable)) + ((dst_negative_scale_data_source_lefttable) + (dst_negative_scale_data_source_lefttable)))) * S ((((dst_positive_code_data_source_lefttable) + (dst_positive_scale_data_source_lefttable)) * S ((dst_positive_code_data_source_lefttable) + (dst_positive_scale_data_source_lefttable)) + ((dst_positive_scale_data_source_lefttable) + (dst_positive_scale_data_source_lefttable))) + (((dst_negative_code_data_source_lefttable) + (dst_negative_scale_data_source_lefttable)) * S ((dst_negative_code_data_source_lefttable) + (dst_negative_scale_data_source_lefttable)) + ((dst_negative_scale_data_source_lefttable) + (dst_negative_scale_data_source_lefttable)))) + ((((dst_negative_code_data_source_lefttable) + (dst_negative_scale_data_source_lefttable)) * S ((dst_negative_code_data_source_lefttable) + (dst_negative_scale_data_source_lefttable)) + ((dst_negative_scale_data_source_lefttable) + (dst_negative_scale_data_source_lefttable))) + (((dst_negative_code_data_source_lefttable) + (dst_negative_scale_data_source_lefttable)) * S ((dst_negative_code_data_source_lefttable) + (dst_negative_scale_data_source_lefttable)) + ((dst_negative_scale_data_source_lefttable) + (dst_negative_scale_data_source_lefttable)))))) /\ (forall dst_index_data_source_lefttable. (exists pvs_le_gap_data_source_lefttabledomain. pvs_le_gap_data_source_lefttabledomain + (dst_index_data_source_lefttable) = (m)) -> exists dst_positive_data_source_lefttable dst_negative_data_source_lefttable dst_value_data_source_lefttable. ((((exists ff_h_pvs_data_source_lefttableentrypositive. ff_h_pvs_data_source_lefttableentrypositive + S (dst_positive_data_source_lefttable) = S ((S (dst_index_data_source_lefttable)) * dst_positive_scale_data_source_lefttable)) /\ exists ff_q_pvs_data_source_lefttableentrypositive. dst_positive_code_data_source_lefttable = ff_q_pvs_data_source_lefttableentrypositive * S ((S (dst_index_data_source_lefttable)) * dst_positive_scale_data_source_lefttable) + (dst_positive_data_source_lefttable))) /\ (((((exists ff_h_pvs_data_source_lefttableentrynegative. ff_h_pvs_data_source_lefttableentrynegative + S (dst_negative_data_source_lefttable) = S ((S (dst_index_data_source_lefttable)) * dst_negative_scale_data_source_lefttable)) /\ exists ff_q_pvs_data_source_lefttableentrynegative. dst_negative_code_data_source_lefttable = ff_q_pvs_data_source_lefttableentrynegative * S ((S (dst_index_data_source_lefttable)) * dst_negative_scale_data_source_lefttable) + (dst_negative_data_source_lefttable))) /\ (exists ge_balance_positive_data_source_lefttableentryvalue ge_balance_negative_data_source_lefttableentryvalue. (((((dst_value_data_source_lefttable) = 2 * (ge_balance_positive_data_source_lefttableentryvalue) /\ (ge_balance_negative_data_source_lefttableentryvalue) = 0) \/ exists ge_signed_half_data_source_lefttableentryvaluedecode. (((dst_value_data_source_lefttable) = 2 * ge_signed_half_data_source_lefttableentryvaluedecode + 1 /\ (ge_balance_positive_data_source_lefttableentryvalue) = 0) /\ (ge_balance_negative_data_source_lefttableentryvalue) = S ge_signed_half_data_source_lefttableentryvaluedecode))) /\ ((dst_positive_data_source_lefttable) + ge_balance_negative_data_source_lefttableentryvalue = (dst_negative_data_source_lefttable) + ge_balance_positive_data_source_lefttableentryvalue))))))))) /\ (forall dc_index_data_source_left dc_value_data_source_left. (exists pvs_le_gap_data_source_leftdomain. pvs_le_gap_data_source_leftdomain + (dc_index_data_source_left) = (m)) -> (exists dst_positive_code_data_source_leftlookup dst_positive_scale_data_source_leftlookup dst_negative_code_data_source_leftlookup dst_negative_scale_data_source_leftlookup dst_positive_data_source_leftlookup dst_negative_data_source_leftlookup. (((A) = (((((dst_positive_code_data_source_leftlookup) + (dst_positive_scale_data_source_leftlookup)) * S ((dst_positive_code_data_source_leftlookup) + (dst_positive_scale_data_source_leftlookup)) + ((dst_positive_scale_data_source_leftlookup) + (dst_positive_scale_data_source_leftlookup))) + (((dst_negative_code_data_source_leftlookup) + (dst_negative_scale_data_source_leftlookup)) * S ((dst_negative_code_data_source_leftlookup) + (dst_negative_scale_data_source_leftlookup)) + ((dst_negative_scale_data_source_leftlookup) + (dst_negative_scale_data_source_leftlookup)))) * S ((((dst_positive_code_data_source_leftlookup) + (dst_positive_scale_data_source_leftlookup)) * S ((dst_positive_code_data_source_leftlookup) + (dst_positive_scale_data_source_leftlookup)) + ((dst_positive_scale_data_source_leftlookup) + (dst_positive_scale_data_source_leftlookup))) + (((dst_negative_code_data_source_leftlookup) + (dst_negative_scale_data_source_leftlookup)) * S ((dst_negative_code_data_source_leftlookup) + (dst_negative_scale_data_source_leftlookup)) + ((dst_negative_scale_data_source_leftlookup) + (dst_negative_scale_data_source_leftlookup)))) + ((((dst_negative_code_data_source_leftlookup) + (dst_negative_scale_data_source_leftlookup)) * S ((dst_negative_code_data_source_leftlookup) + (dst_negative_scale_data_source_leftlookup)) + ((dst_negative_scale_data_source_leftlookup) + (dst_negative_scale_data_source_leftlookup))) + (((dst_negative_code_data_source_leftlookup) + (dst_negative_scale_data_source_leftlookup)) * S ((dst_negative_code_data_source_leftlookup) + (dst_negative_scale_data_source_leftlookup)) + ((dst_negative_scale_data_source_leftlookup) + (dst_negative_scale_data_source_leftlookup)))))) /\ (((((exists ff_h_pvs_data_source_leftlookuppositive. ff_h_pvs_data_source_leftlookuppositive + S (dst_positive_data_source_leftlookup) = S ((S (dc_index_data_source_left)) * dst_positive_scale_data_source_leftlookup)) /\ exists ff_q_pvs_data_source_leftlookuppositive. dst_positive_code_data_source_leftlookup = ff_q_pvs_data_source_leftlookuppositive * S ((S (dc_index_data_source_left)) * dst_positive_scale_data_source_leftlookup) + (dst_positive_data_source_leftlookup))) /\ (((((exists ff_h_pvs_data_source_leftlookupnegative. ff_h_pvs_data_source_leftlookupnegative + S (dst_negative_data_source_leftlookup) = S ((S (dc_index_data_source_left)) * dst_negative_scale_data_source_leftlookup)) /\ exists ff_q_pvs_data_source_leftlookupnegative. dst_negative_code_data_source_leftlookup = ff_q_pvs_data_source_leftlookupnegative * S ((S (dc_index_data_source_left)) * dst_negative_scale_data_source_leftlookup) + (dst_negative_data_source_leftlookup))) /\ (exists ge_balance_positive_data_source_leftlookupvalue ge_balance_negative_data_source_leftlookupvalue. (((((dc_value_data_source_left) = 2 * (ge_balance_positive_data_source_leftlookupvalue) /\ (ge_balance_negative_data_source_leftlookupvalue) = 0) \/ exists ge_signed_half_data_source_leftlookupvaluedecode. (((dc_value_data_source_left) = 2 * ge_signed_half_data_source_leftlookupvaluedecode + 1 /\ (ge_balance_positive_data_source_leftlookupvalue) = 0) /\ (ge_balance_negative_data_source_leftlookupvalue) = S ge_signed_half_data_source_leftlookupvaluedecode))) /\ ((dst_positive_data_source_leftlookup) + ge_balance_negative_data_source_leftlookupvalue = (dst_negative_data_source_leftlookup) + ge_balance_positive_data_source_leftlookupvalue))))))))) -> ((((~((dc_index_data_source_left)=0)) /\ (exists dc_quotient_data_source_leftentry dc_left_data_source_leftentry dc_right_data_source_leftentry. (((m)=(dc_index_data_source_left)*dc_quotient_data_source_leftentry) /\ (((exists dst_positive_code_data_source_leftentryleft dst_positive_scale_data_source_leftentryleft dst_negative_code_data_source_leftentryleft dst_negative_scale_data_source_leftentryleft dst_positive_data_source_leftentryleft dst_negative_data_source_leftentryleft. (((F) = (((((dst_positive_code_data_source_leftentryleft) + (dst_positive_scale_data_source_leftentryleft)) * S ((dst_positive_code_data_source_leftentryleft) + (dst_positive_scale_data_source_leftentryleft)) + ((dst_positive_scale_data_source_leftentryleft) + (dst_positive_scale_data_source_leftentryleft))) + (((dst_negative_code_data_source_leftentryleft) + (dst_negative_scale_data_source_leftentryleft)) * S ((dst_negative_code_data_source_leftentryleft) + (dst_negative_scale_data_source_leftentryleft)) + ((dst_negative_scale_data_source_leftentryleft) + (dst_negative_scale_data_source_leftentryleft)))) * S ((((dst_positive_code_data_source_leftentryleft) + (dst_positive_scale_data_source_leftentryleft)) * S ((dst_positive_code_data_source_leftentryleft) + (dst_positive_scale_data_source_leftentryleft)) + ((dst_positive_scale_data_source_leftentryleft) + (dst_positive_scale_data_source_leftentryleft))) + (((dst_negative_code_data_source_leftentryleft) + (dst_negative_scale_data_source_leftentryleft)) * S ((dst_negative_code_data_source_leftentryleft) + (dst_negative_scale_data_source_leftentryleft)) + ((dst_negative_scale_data_source_leftentryleft) + (dst_negative_scale_data_source_leftentryleft)))) + ((((dst_negative_code_data_source_leftentryleft) + (dst_negative_scale_data_source_leftentryleft)) * S ((dst_negative_code_data_source_leftentryleft) + (dst_negative_scale_data_source_leftentryleft)) + ((dst_negative_scale_data_source_leftentryleft) + (dst_negative_scale_data_source_leftentryleft))) + (((dst_negative_code_data_source_leftentryleft) + (dst_negative_scale_data_source_leftentryleft)) * S ((dst_negative_code_data_source_leftentryleft) + (dst_negative_scale_data_source_leftentryleft)) + ((dst_negative_scale_data_source_leftentryleft) + (dst_negative_scale_data_source_leftentryleft)))))) /\ (((((exists ff_h_pvs_data_source_leftentryleftpositive. ff_h_pvs_data_source_leftentryleftpositive + S (dst_positive_data_source_leftentryleft) = S ((S (dc_index_data_source_left)) * dst_positive_scale_data_source_leftentryleft)) /\ exists ff_q_pvs_data_source_leftentryleftpositive. dst_positive_code_data_source_leftentryleft = ff_q_pvs_data_source_leftentryleftpositive * S ((S (dc_index_data_source_left)) * dst_positive_scale_data_source_leftentryleft) + (dst_positive_data_source_leftentryleft))) /\ (((((exists ff_h_pvs_data_source_leftentryleftnegative. ff_h_pvs_data_source_leftentryleftnegative + S (dst_negative_data_source_leftentryleft) = S ((S (dc_index_data_source_left)) * dst_negative_scale_data_source_leftentryleft)) /\ exists ff_q_pvs_data_source_leftentryleftnegative. dst_negative_code_data_source_leftentryleft = ff_q_pvs_data_source_leftentryleftnegative * S ((S (dc_index_data_source_left)) * dst_negative_scale_data_source_leftentryleft) + (dst_negative_data_source_leftentryleft))) /\ (exists ge_balance_positive_data_source_leftentryleftvalue ge_balance_negative_data_source_leftentryleftvalue. (((((dc_left_data_source_leftentry) = 2 * (ge_balance_positive_data_source_leftentryleftvalue) /\ (ge_balance_negative_data_source_leftentryleftvalue) = 0) \/ exists ge_signed_half_data_source_leftentryleftvaluedecode. (((dc_left_data_source_leftentry) = 2 * ge_signed_half_data_source_leftentryleftvaluedecode + 1 /\ (ge_balance_positive_data_source_leftentryleftvalue) = 0) /\ (ge_balance_negative_data_source_leftentryleftvalue) = S ge_signed_half_data_source_leftentryleftvaluedecode))) /\ ((dst_positive_data_source_leftentryleft) + ge_balance_negative_data_source_leftentryleftvalue = (dst_negative_data_source_leftentryleft) + ge_balance_positive_data_source_leftentryleftvalue))))))))) /\ (((exists dst_positive_code_data_source_leftentryright dst_positive_scale_data_source_leftentryright dst_negative_code_data_source_leftentryright dst_negative_scale_data_source_leftentryright dst_positive_data_source_leftentryright dst_negative_data_source_leftentryright. (((G) = (((((dst_positive_code_data_source_leftentryright) + (dst_positive_scale_data_source_leftentryright)) * S ((dst_positive_code_data_source_leftentryright) + (dst_positive_scale_data_source_leftentryright)) + ((dst_positive_scale_data_source_leftentryright) + (dst_positive_scale_data_source_leftentryright))) + (((dst_negative_code_data_source_leftentryright) + (dst_negative_scale_data_source_leftentryright)) * S ((dst_negative_code_data_source_leftentryright) + (dst_negative_scale_data_source_leftentryright)) + ((dst_negative_scale_data_source_leftentryright) + (dst_negative_scale_data_source_leftentryright)))) * S ((((dst_positive_code_data_source_leftentryright) + (dst_positive_scale_data_source_leftentryright)) * S ((dst_positive_code_data_source_leftentryright) + (dst_positive_scale_data_source_leftentryright)) + ((dst_positive_scale_data_source_leftentryright) + (dst_positive_scale_data_source_leftentryright))) + (((dst_negative_code_data_source_leftentryright) + (dst_negative_scale_data_source_leftentryright)) * S ((dst_negative_code_data_source_leftentryright) + (dst_negative_scale_data_source_leftentryright)) + ((dst_negative_scale_data_source_leftentryright) + (dst_negative_scale_data_source_leftentryright)))) + ((((dst_negative_code_data_source_leftentryright) + (dst_negative_scale_data_source_leftentryright)) * S ((dst_negative_code_data_source_leftentryright) + (dst_negative_scale_data_source_leftentryright)) + ((dst_negative_scale_data_source_leftentryright) + (dst_negative_scale_data_source_leftentryright))) + (((dst_negative_code_data_source_leftentryright) + (dst_negative_scale_data_source_leftentryright)) * S ((dst_negative_code_data_source_leftentryright) + (dst_negative_scale_data_source_leftentryright)) + ((dst_negative_scale_data_source_leftentryright) + (dst_negative_scale_data_source_leftentryright)))))) /\ (((((exists ff_h_pvs_data_source_leftentryrightpositive. ff_h_pvs_data_source_leftentryrightpositive + S (dst_positive_data_source_leftentryright) = S ((S (dc_quotient_data_source_leftentry)) * dst_positive_scale_data_source_leftentryright)) /\ exists ff_q_pvs_data_source_leftentryrightpositive. dst_positive_code_data_source_leftentryright = ff_q_pvs_data_source_leftentryrightpositive * S ((S (dc_quotient_data_source_leftentry)) * dst_positive_scale_data_source_leftentryright) + (dst_positive_data_source_leftentryright))) /\ (((((exists ff_h_pvs_data_source_leftentryrightnegative. ff_h_pvs_data_source_leftentryrightnegative + S (dst_negative_data_source_leftentryright) = S ((S (dc_quotient_data_source_leftentry)) * dst_negative_scale_data_source_leftentryright)) /\ exists ff_q_pvs_data_source_leftentryrightnegative. dst_negative_code_data_source_leftentryright = ff_q_pvs_data_source_leftentryrightnegative * S ((S (dc_quotient_data_source_leftentry)) * dst_negative_scale_data_source_leftentryright) + (dst_negative_data_source_leftentryright))) /\ (exists ge_balance_positive_data_source_leftentryrightvalue ge_balance_negative_data_source_leftentryrightvalue. (((((dc_right_data_source_leftentry) = 2 * (ge_balance_positive_data_source_leftentryrightvalue) /\ (ge_balance_negative_data_source_leftentryrightvalue) = 0) \/ exists ge_signed_half_data_source_leftentryrightvaluedecode. (((dc_right_data_source_leftentry) = 2 * ge_signed_half_data_source_leftentryrightvaluedecode + 1 /\ (ge_balance_positive_data_source_leftentryrightvalue) = 0) /\ (ge_balance_negative_data_source_leftentryrightvalue) = S ge_signed_half_data_source_leftentryrightvaluedecode))) /\ ((dst_positive_data_source_leftentryright) + ge_balance_negative_data_source_leftentryrightvalue = (dst_negative_data_source_leftentryright) + ge_balance_positive_data_source_leftentryrightvalue))))))))) /\ (exists sto_ap_data_source_leftentryproduct sto_an_data_source_leftentryproduct sto_bp_data_source_leftentryproduct sto_bn_data_source_leftentryproduct sto_cp_data_source_leftentryproduct sto_cn_data_source_leftentryproduct. (((((dc_left_data_source_leftentry) = 2 * (sto_ap_data_source_leftentryproduct) /\ (sto_an_data_source_leftentryproduct) = 0) \/ exists ge_signed_half_data_source_leftentryproductleft. (((dc_left_data_source_leftentry) = 2 * ge_signed_half_data_source_leftentryproductleft + 1 /\ (sto_ap_data_source_leftentryproduct) = 0) /\ (sto_an_data_source_leftentryproduct) = S ge_signed_half_data_source_leftentryproductleft))) /\ ((((((dc_right_data_source_leftentry) = 2 * (sto_bp_data_source_leftentryproduct) /\ (sto_bn_data_source_leftentryproduct) = 0) \/ exists ge_signed_half_data_source_leftentryproductright. (((dc_right_data_source_leftentry) = 2 * ge_signed_half_data_source_leftentryproductright + 1 /\ (sto_bp_data_source_leftentryproduct) = 0) /\ (sto_bn_data_source_leftentryproduct) = S ge_signed_half_data_source_leftentryproductright))) /\ ((((((dc_value_data_source_left) = 2 * (sto_cp_data_source_leftentryproduct) /\ (sto_cn_data_source_leftentryproduct) = 0) \/ exists ge_signed_half_data_source_leftentryproductoutput. (((dc_value_data_source_left) = 2 * ge_signed_half_data_source_leftentryproductoutput + 1 /\ (sto_cp_data_source_leftentryproduct) = 0) /\ (sto_cn_data_source_leftentryproduct) = S ge_signed_half_data_source_leftentryproductoutput))) /\ ((sto_ap_data_source_leftentryproduct * sto_bp_data_source_leftentryproduct + sto_an_data_source_leftentryproduct * sto_bn_data_source_leftentryproduct) + sto_cn_data_source_leftentryproduct = (sto_ap_data_source_leftentryproduct * sto_bn_data_source_leftentryproduct + sto_an_data_source_leftentryproduct * sto_bp_data_source_leftentryproduct) + sto_cp_data_source_leftentryproduct))))))))))))))) \/ ((((dc_index_data_source_left)=0 \/ ~(exists pvs_factor_data_source_leftentrynondivisor. (m) = (dc_index_data_source_left) * pvs_factor_data_source_leftentrynondivisor)) /\ ((dc_value_data_source_left)=0))))))) -> (((exists dst_positive_code_data_source_righttable dst_positive_scale_data_source_righttable dst_negative_code_data_source_righttable dst_negative_scale_data_source_righttable. (((B) = (((((dst_positive_code_data_source_righttable) + (dst_positive_scale_data_source_righttable)) * S ((dst_positive_code_data_source_righttable) + (dst_positive_scale_data_source_righttable)) + ((dst_positive_scale_data_source_righttable) + (dst_positive_scale_data_source_righttable))) + (((dst_negative_code_data_source_righttable) + (dst_negative_scale_data_source_righttable)) * S ((dst_negative_code_data_source_righttable) + (dst_negative_scale_data_source_righttable)) + ((dst_negative_scale_data_source_righttable) + (dst_negative_scale_data_source_righttable)))) * S ((((dst_positive_code_data_source_righttable) + (dst_positive_scale_data_source_righttable)) * S ((dst_positive_code_data_source_righttable) + (dst_positive_scale_data_source_righttable)) + ((dst_positive_scale_data_source_righttable) + (dst_positive_scale_data_source_righttable))) + (((dst_negative_code_data_source_righttable) + (dst_negative_scale_data_source_righttable)) * S ((dst_negative_code_data_source_righttable) + (dst_negative_scale_data_source_righttable)) + ((dst_negative_scale_data_source_righttable) + (dst_negative_scale_data_source_righttable)))) + ((((dst_negative_code_data_source_righttable) + (dst_negative_scale_data_source_righttable)) * S ((dst_negative_code_data_source_righttable) + (dst_negative_scale_data_source_righttable)) + ((dst_negative_scale_data_source_righttable) + (dst_negative_scale_data_source_righttable))) + (((dst_negative_code_data_source_righttable) + (dst_negative_scale_data_source_righttable)) * S ((dst_negative_code_data_source_righttable) + (dst_negative_scale_data_source_righttable)) + ((dst_negative_scale_data_source_righttable) + (dst_negative_scale_data_source_righttable)))))) /\ (forall dst_index_data_source_righttable. (exists pvs_le_gap_data_source_righttabledomain. pvs_le_gap_data_source_righttabledomain + (dst_index_data_source_righttable) = (n)) -> exists dst_positive_data_source_righttable dst_negative_data_source_righttable dst_value_data_source_righttable. ((((exists ff_h_pvs_data_source_righttableentrypositive. ff_h_pvs_data_source_righttableentrypositive + S (dst_positive_data_source_righttable) = S ((S (dst_index_data_source_righttable)) * dst_positive_scale_data_source_righttable)) /\ exists ff_q_pvs_data_source_righttableentrypositive. dst_positive_code_data_source_righttable = ff_q_pvs_data_source_righttableentrypositive * S ((S (dst_index_data_source_righttable)) * dst_positive_scale_data_source_righttable) + (dst_positive_data_source_righttable))) /\ (((((exists ff_h_pvs_data_source_righttableentrynegative. ff_h_pvs_data_source_righttableentrynegative + S (dst_negative_data_source_righttable) = S ((S (dst_index_data_source_righttable)) * dst_negative_scale_data_source_righttable)) /\ exists ff_q_pvs_data_source_righttableentrynegative. dst_negative_code_data_source_righttable = ff_q_pvs_data_source_righttableentrynegative * S ((S (dst_index_data_source_righttable)) * dst_negative_scale_data_source_righttable) + (dst_negative_data_source_righttable))) /\ (exists ge_balance_positive_data_source_righttableentryvalue ge_balance_negative_data_source_righttableentryvalue. (((((dst_value_data_source_righttable) = 2 * (ge_balance_positive_data_source_righttableentryvalue) /\ (ge_balance_negative_data_source_righttableentryvalue) = 0) \/ exists ge_signed_half_data_source_righttableentryvaluedecode. (((dst_value_data_source_righttable) = 2 * ge_signed_half_data_source_righttableentryvaluedecode + 1 /\ (ge_balance_positive_data_source_righttableentryvalue) = 0) /\ (ge_balance_negative_data_source_righttableentryvalue) = S ge_signed_half_data_source_righttableentryvaluedecode))) /\ ((dst_positive_data_source_righttable) + ge_balance_negative_data_source_righttableentryvalue = (dst_negative_data_source_righttable) + ge_balance_positive_data_source_righttableentryvalue))))))))) /\ (forall dc_index_data_source_right dc_value_data_source_right. (exists pvs_le_gap_data_source_rightdomain. pvs_le_gap_data_source_rightdomain + (dc_index_data_source_right) = (n)) -> (exists dst_positive_code_data_source_rightlookup dst_positive_scale_data_source_rightlookup dst_negative_code_data_source_rightlookup dst_negative_scale_data_source_rightlookup dst_positive_data_source_rightlookup dst_negative_data_source_rightlookup. (((B) = (((((dst_positive_code_data_source_rightlookup) + (dst_positive_scale_data_source_rightlookup)) * S ((dst_positive_code_data_source_rightlookup) + (dst_positive_scale_data_source_rightlookup)) + ((dst_positive_scale_data_source_rightlookup) + (dst_positive_scale_data_source_rightlookup))) + (((dst_negative_code_data_source_rightlookup) + (dst_negative_scale_data_source_rightlookup)) * S ((dst_negative_code_data_source_rightlookup) + (dst_negative_scale_data_source_rightlookup)) + ((dst_negative_scale_data_source_rightlookup) + (dst_negative_scale_data_source_rightlookup)))) * S ((((dst_positive_code_data_source_rightlookup) + (dst_positive_scale_data_source_rightlookup)) * S ((dst_positive_code_data_source_rightlookup) + (dst_positive_scale_data_source_rightlookup)) + ((dst_positive_scale_data_source_rightlookup) + (dst_positive_scale_data_source_rightlookup))) + (((dst_negative_code_data_source_rightlookup) + (dst_negative_scale_data_source_rightlookup)) * S ((dst_negative_code_data_source_rightlookup) + (dst_negative_scale_data_source_rightlookup)) + ((dst_negative_scale_data_source_rightlookup) + (dst_negative_scale_data_source_rightlookup)))) + ((((dst_negative_code_data_source_rightlookup) + (dst_negative_scale_data_source_rightlookup)) * S ((dst_negative_code_data_source_rightlookup) + (dst_negative_scale_data_source_rightlookup)) + ((dst_negative_scale_data_source_rightlookup) + (dst_negative_scale_data_source_rightlookup))) + (((dst_negative_code_data_source_rightlookup) + (dst_negative_scale_data_source_rightlookup)) * S ((dst_negative_code_data_source_rightlookup) + (dst_negative_scale_data_source_rightlookup)) + ((dst_negative_scale_data_source_rightlookup) + (dst_negative_scale_data_source_rightlookup)))))) /\ (((((exists ff_h_pvs_data_source_rightlookuppositive. ff_h_pvs_data_source_rightlookuppositive + S (dst_positive_data_source_rightlookup) = S ((S (dc_index_data_source_right)) * dst_positive_scale_data_source_rightlookup)) /\ exists ff_q_pvs_data_source_rightlookuppositive. dst_positive_code_data_source_rightlookup = ff_q_pvs_data_source_rightlookuppositive * S ((S (dc_index_data_source_right)) * dst_positive_scale_data_source_rightlookup) + (dst_positive_data_source_rightlookup))) /\ (((((exists ff_h_pvs_data_source_rightlookupnegative. ff_h_pvs_data_source_rightlookupnegative + S (dst_negative_data_source_rightlookup) = S ((S (dc_index_data_source_right)) * dst_negative_scale_data_source_rightlookup)) /\ exists ff_q_pvs_data_source_rightlookupnegative. dst_negative_code_data_source_rightlookup = ff_q_pvs_data_source_rightlookupnegative * S ((S (dc_index_data_source_right)) * dst_negative_scale_data_source_rightlookup) + (dst_negative_data_source_rightlookup))) /\ (exists ge_balance_positive_data_source_rightlookupvalue ge_balance_negative_data_source_rightlookupvalue. (((((dc_value_data_source_right) = 2 * (ge_balance_positive_data_source_rightlookupvalue) /\ (ge_balance_negative_data_source_rightlookupvalue) = 0) \/ exists ge_signed_half_data_source_rightlookupvaluedecode. (((dc_value_data_source_right) = 2 * ge_signed_half_data_source_rightlookupvaluedecode + 1 /\ (ge_balance_positive_data_source_rightlookupvalue) = 0) /\ (ge_balance_negative_data_source_rightlookupvalue) = S ge_signed_half_data_source_rightlookupvaluedecode))) /\ ((dst_positive_data_source_rightlookup) + ge_balance_negative_data_source_rightlookupvalue = (dst_negative_data_source_rightlookup) + ge_balance_positive_data_source_rightlookupvalue))))))))) -> ((((~((dc_index_data_source_right)=0)) /\ (exists dc_quotient_data_source_rightentry dc_left_data_source_rightentry dc_right_data_source_rightentry. (((n)=(dc_index_data_source_right)*dc_quotient_data_source_rightentry) /\ (((exists dst_positive_code_data_source_rightentryleft dst_positive_scale_data_source_rightentryleft dst_negative_code_data_source_rightentryleft dst_negative_scale_data_source_rightentryleft dst_positive_data_source_rightentryleft dst_negative_data_source_rightentryleft. (((F) = (((((dst_positive_code_data_source_rightentryleft) + (dst_positive_scale_data_source_rightentryleft)) * S ((dst_positive_code_data_source_rightentryleft) + (dst_positive_scale_data_source_rightentryleft)) + ((dst_positive_scale_data_source_rightentryleft) + (dst_positive_scale_data_source_rightentryleft))) + (((dst_negative_code_data_source_rightentryleft) + (dst_negative_scale_data_source_rightentryleft)) * S ((dst_negative_code_data_source_rightentryleft) + (dst_negative_scale_data_source_rightentryleft)) + ((dst_negative_scale_data_source_rightentryleft) + (dst_negative_scale_data_source_rightentryleft)))) * S ((((dst_positive_code_data_source_rightentryleft) + (dst_positive_scale_data_source_rightentryleft)) * S ((dst_positive_code_data_source_rightentryleft) + (dst_positive_scale_data_source_rightentryleft)) + ((dst_positive_scale_data_source_rightentryleft) + (dst_positive_scale_data_source_rightentryleft))) + (((dst_negative_code_data_source_rightentryleft) + (dst_negative_scale_data_source_rightentryleft)) * S ((dst_negative_code_data_source_rightentryleft) + (dst_negative_scale_data_source_rightentryleft)) + ((dst_negative_scale_data_source_rightentryleft) + (dst_negative_scale_data_source_rightentryleft)))) + ((((dst_negative_code_data_source_rightentryleft) + (dst_negative_scale_data_source_rightentryleft)) * S ((dst_negative_code_data_source_rightentryleft) + (dst_negative_scale_data_source_rightentryleft)) + ((dst_negative_scale_data_source_rightentryleft) + (dst_negative_scale_data_source_rightentryleft))) + (((dst_negative_code_data_source_rightentryleft) + (dst_negative_scale_data_source_rightentryleft)) * S ((dst_negative_code_data_source_rightentryleft) + (dst_negative_scale_data_source_rightentryleft)) + ((dst_negative_scale_data_source_rightentryleft) + (dst_negative_scale_data_source_rightentryleft)))))) /\ (((((exists ff_h_pvs_data_source_rightentryleftpositive. ff_h_pvs_data_source_rightentryleftpositive + S (dst_positive_data_source_rightentryleft) = S ((S (dc_index_data_source_right)) * dst_positive_scale_data_source_rightentryleft)) /\ exists ff_q_pvs_data_source_rightentryleftpositive. dst_positive_code_data_source_rightentryleft = ff_q_pvs_data_source_rightentryleftpositive * S ((S (dc_index_data_source_right)) * dst_positive_scale_data_source_rightentryleft) + (dst_positive_data_source_rightentryleft))) /\ (((((exists ff_h_pvs_data_source_rightentryleftnegative. ff_h_pvs_data_source_rightentryleftnegative + S (dst_negative_data_source_rightentryleft) = S ((S (dc_index_data_source_right)) * dst_negative_scale_data_source_rightentryleft)) /\ exists ff_q_pvs_data_source_rightentryleftnegative. dst_negative_code_data_source_rightentryleft = ff_q_pvs_data_source_rightentryleftnegative * S ((S (dc_index_data_source_right)) * dst_negative_scale_data_source_rightentryleft) + (dst_negative_data_source_rightentryleft))) /\ (exists ge_balance_positive_data_source_rightentryleftvalue ge_balance_negative_data_source_rightentryleftvalue. (((((dc_left_data_source_rightentry) = 2 * (ge_balance_positive_data_source_rightentryleftvalue) /\ (ge_balance_negative_data_source_rightentryleftvalue) = 0) \/ exists ge_signed_half_data_source_rightentryleftvaluedecode. (((dc_left_data_source_rightentry) = 2 * ge_signed_half_data_source_rightentryleftvaluedecode + 1 /\ (ge_balance_positive_data_source_rightentryleftvalue) = 0) /\ (ge_balance_negative_data_source_rightentryleftvalue) = S ge_signed_half_data_source_rightentryleftvaluedecode))) /\ ((dst_positive_data_source_rightentryleft) + ge_balance_negative_data_source_rightentryleftvalue = (dst_negative_data_source_rightentryleft) + ge_balance_positive_data_source_rightentryleftvalue))))))))) /\ (((exists dst_positive_code_data_source_rightentryright dst_positive_scale_data_source_rightentryright dst_negative_code_data_source_rightentryright dst_negative_scale_data_source_rightentryright dst_positive_data_source_rightentryright dst_negative_data_source_rightentryright. (((G) = (((((dst_positive_code_data_source_rightentryright) + (dst_positive_scale_data_source_rightentryright)) * S ((dst_positive_code_data_source_rightentryright) + (dst_positive_scale_data_source_rightentryright)) + ((dst_positive_scale_data_source_rightentryright) + (dst_positive_scale_data_source_rightentryright))) + (((dst_negative_code_data_source_rightentryright) + (dst_negative_scale_data_source_rightentryright)) * S ((dst_negative_code_data_source_rightentryright) + (dst_negative_scale_data_source_rightentryright)) + ((dst_negative_scale_data_source_rightentryright) + (dst_negative_scale_data_source_rightentryright)))) * S ((((dst_positive_code_data_source_rightentryright) + (dst_positive_scale_data_source_rightentryright)) * S ((dst_positive_code_data_source_rightentryright) + (dst_positive_scale_data_source_rightentryright)) + ((dst_positive_scale_data_source_rightentryright) + (dst_positive_scale_data_source_rightentryright))) + (((dst_negative_code_data_source_rightentryright) + (dst_negative_scale_data_source_rightentryright)) * S ((dst_negative_code_data_source_rightentryright) + (dst_negative_scale_data_source_rightentryright)) + ((dst_negative_scale_data_source_rightentryright) + (dst_negative_scale_data_source_rightentryright)))) + ((((dst_negative_code_data_source_rightentryright) + (dst_negative_scale_data_source_rightentryright)) * S ((dst_negative_code_data_source_rightentryright) + (dst_negative_scale_data_source_rightentryright)) + ((dst_negative_scale_data_source_rightentryright) + (dst_negative_scale_data_source_rightentryright))) + (((dst_negative_code_data_source_rightentryright) + (dst_negative_scale_data_source_rightentryright)) * S ((dst_negative_code_data_source_rightentryright) + (dst_negative_scale_data_source_rightentryright)) + ((dst_negative_scale_data_source_rightentryright) + (dst_negative_scale_data_source_rightentryright)))))) /\ (((((exists ff_h_pvs_data_source_rightentryrightpositive. ff_h_pvs_data_source_rightentryrightpositive + S (dst_positive_data_source_rightentryright) = S ((S (dc_quotient_data_source_rightentry)) * dst_positive_scale_data_source_rightentryright)) /\ exists ff_q_pvs_data_source_rightentryrightpositive. dst_positive_code_data_source_rightentryright = ff_q_pvs_data_source_rightentryrightpositive * S ((S (dc_quotient_data_source_rightentry)) * dst_positive_scale_data_source_rightentryright) + (dst_positive_data_source_rightentryright))) /\ (((((exists ff_h_pvs_data_source_rightentryrightnegative. ff_h_pvs_data_source_rightentryrightnegative + S (dst_negative_data_source_rightentryright) = S ((S (dc_quotient_data_source_rightentry)) * dst_negative_scale_data_source_rightentryright)) /\ exists ff_q_pvs_data_source_rightentryrightnegative. dst_negative_code_data_source_rightentryright = ff_q_pvs_data_source_rightentryrightnegative * S ((S (dc_quotient_data_source_rightentry)) * dst_negative_scale_data_source_rightentryright) + (dst_negative_data_source_rightentryright))) /\ (exists ge_balance_positive_data_source_rightentryrightvalue ge_balance_negative_data_source_rightentryrightvalue. (((((dc_right_data_source_rightentry) = 2 * (ge_balance_positive_data_source_rightentryrightvalue) /\ (ge_balance_negative_data_source_rightentryrightvalue) = 0) \/ exists ge_signed_half_data_source_rightentryrightvaluedecode. (((dc_right_data_source_rightentry) = 2 * ge_signed_half_data_source_rightentryrightvaluedecode + 1 /\ (ge_balance_positive_data_source_rightentryrightvalue) = 0) /\ (ge_balance_negative_data_source_rightentryrightvalue) = S ge_signed_half_data_source_rightentryrightvaluedecode))) /\ ((dst_positive_data_source_rightentryright) + ge_balance_negative_data_source_rightentryrightvalue = (dst_negative_data_source_rightentryright) + ge_balance_positive_data_source_rightentryrightvalue))))))))) /\ (exists sto_ap_data_source_rightentryproduct sto_an_data_source_rightentryproduct sto_bp_data_source_rightentryproduct sto_bn_data_source_rightentryproduct sto_cp_data_source_rightentryproduct sto_cn_data_source_rightentryproduct. (((((dc_left_data_source_rightentry) = 2 * (sto_ap_data_source_rightentryproduct) /\ (sto_an_data_source_rightentryproduct) = 0) \/ exists ge_signed_half_data_source_rightentryproductleft. (((dc_left_data_source_rightentry) = 2 * ge_signed_half_data_source_rightentryproductleft + 1 /\ (sto_ap_data_source_rightentryproduct) = 0) /\ (sto_an_data_source_rightentryproduct) = S ge_signed_half_data_source_rightentryproductleft))) /\ ((((((dc_right_data_source_rightentry) = 2 * (sto_bp_data_source_rightentryproduct) /\ (sto_bn_data_source_rightentryproduct) = 0) \/ exists ge_signed_half_data_source_rightentryproductright. (((dc_right_data_source_rightentry) = 2 * ge_signed_half_data_source_rightentryproductright + 1 /\ (sto_bp_data_source_rightentryproduct) = 0) /\ (sto_bn_data_source_rightentryproduct) = S ge_signed_half_data_source_rightentryproductright))) /\ ((((((dc_value_data_source_right) = 2 * (sto_cp_data_source_rightentryproduct) /\ (sto_cn_data_source_rightentryproduct) = 0) \/ exists ge_signed_half_data_source_rightentryproductoutput. (((dc_value_data_source_right) = 2 * ge_signed_half_data_source_rightentryproductoutput + 1 /\ (sto_cp_data_source_rightentryproduct) = 0) /\ (sto_cn_data_source_rightentryproduct) = S ge_signed_half_data_source_rightentryproductoutput))) /\ ((sto_ap_data_source_rightentryproduct * sto_bp_data_source_rightentryproduct + sto_an_data_source_rightentryproduct * sto_bn_data_source_rightentryproduct) + sto_cn_data_source_rightentryproduct = (sto_ap_data_source_rightentryproduct * sto_bn_data_source_rightentryproduct + sto_an_data_source_rightentryproduct * sto_bp_data_source_rightentryproduct) + sto_cp_data_source_rightentryproduct))))))))))))))) \/ ((((dc_index_data_source_right)=0 \/ ~(exists pvs_factor_data_source_rightentrynondivisor. (n) = (dc_index_data_source_right) * pvs_factor_data_source_rightentrynondivisor)) /\ ((dc_value_data_source_right)=0))))))) -> (((exists dst_positive_code_data_source_targettable dst_positive_scale_data_source_targettable dst_negative_code_data_source_targettable dst_negative_scale_data_source_targettable. (((Q) = (((((dst_positive_code_data_source_targettable) + (dst_positive_scale_data_source_targettable)) * S ((dst_positive_code_data_source_targettable) + (dst_positive_scale_data_source_targettable)) + ((dst_positive_scale_data_source_targettable) + (dst_positive_scale_data_source_targettable))) + (((dst_negative_code_data_source_targettable) + (dst_negative_scale_data_source_targettable)) * S ((dst_negative_code_data_source_targettable) + (dst_negative_scale_data_source_targettable)) + ((dst_negative_scale_data_source_targettable) + (dst_negative_scale_data_source_targettable)))) * S ((((dst_positive_code_data_source_targettable) + (dst_positive_scale_data_source_targettable)) * S ((dst_positive_code_data_source_targettable) + (dst_positive_scale_data_source_targettable)) + ((dst_positive_scale_data_source_targettable) + (dst_positive_scale_data_source_targettable))) + (((dst_negative_code_data_source_targettable) + (dst_negative_scale_data_source_targettable)) * S ((dst_negative_code_data_source_targettable) + (dst_negative_scale_data_source_targettable)) + ((dst_negative_scale_data_source_targettable) + (dst_negative_scale_data_source_targettable)))) + ((((dst_negative_code_data_source_targettable) + (dst_negative_scale_data_source_targettable)) * S ((dst_negative_code_data_source_targettable) + (dst_negative_scale_data_source_targettable)) + ((dst_negative_scale_data_source_targettable) + (dst_negative_scale_data_source_targettable))) + (((dst_negative_code_data_source_targettable) + (dst_negative_scale_data_source_targettable)) * S ((dst_negative_code_data_source_targettable) + (dst_negative_scale_data_source_targettable)) + ((dst_negative_scale_data_source_targettable) + (dst_negative_scale_data_source_targettable)))))) /\ (forall dst_index_data_source_targettable. (exists pvs_le_gap_data_source_targettabledomain. pvs_le_gap_data_source_targettabledomain + (dst_index_data_source_targettable) = (m*n)) -> exists dst_positive_data_source_targettable dst_negative_data_source_targettable dst_value_data_source_targettable. ((((exists ff_h_pvs_data_source_targettableentrypositive. ff_h_pvs_data_source_targettableentrypositive + S (dst_positive_data_source_targettable) = S ((S (dst_index_data_source_targettable)) * dst_positive_scale_data_source_targettable)) /\ exists ff_q_pvs_data_source_targettableentrypositive. dst_positive_code_data_source_targettable = ff_q_pvs_data_source_targettableentrypositive * S ((S (dst_index_data_source_targettable)) * dst_positive_scale_data_source_targettable) + (dst_positive_data_source_targettable))) /\ (((((exists ff_h_pvs_data_source_targettableentrynegative. ff_h_pvs_data_source_targettableentrynegative + S (dst_negative_data_source_targettable) = S ((S (dst_index_data_source_targettable)) * dst_negative_scale_data_source_targettable)) /\ exists ff_q_pvs_data_source_targettableentrynegative. dst_negative_code_data_source_targettable = ff_q_pvs_data_source_targettableentrynegative * S ((S (dst_index_data_source_targettable)) * dst_negative_scale_data_source_targettable) + (dst_negative_data_source_targettable))) /\ (exists ge_balance_positive_data_source_targettableentryvalue ge_balance_negative_data_source_targettableentryvalue. (((((dst_value_data_source_targettable) = 2 * (ge_balance_positive_data_source_targettableentryvalue) /\ (ge_balance_negative_data_source_targettableentryvalue) = 0) \/ exists ge_signed_half_data_source_targettableentryvaluedecode. (((dst_value_data_source_targettable) = 2 * ge_signed_half_data_source_targettableentryvaluedecode + 1 /\ (ge_balance_positive_data_source_targettableentryvalue) = 0) /\ (ge_balance_negative_data_source_targettableentryvalue) = S ge_signed_half_data_source_targettableentryvaluedecode))) /\ ((dst_positive_data_source_targettable) + ge_balance_negative_data_source_targettableentryvalue = (dst_negative_data_source_targettable) + ge_balance_positive_data_source_targettableentryvalue))))))))) /\ (forall dc_index_data_source_target dc_value_data_source_target. (exists pvs_le_gap_data_source_targetdomain. pvs_le_gap_data_source_targetdomain + (dc_index_data_source_target) = (m*n)) -> (exists dst_positive_code_data_source_targetlookup dst_positive_scale_data_source_targetlookup dst_negative_code_data_source_targetlookup dst_negative_scale_data_source_targetlookup dst_positive_data_source_targetlookup dst_negative_data_source_targetlookup. (((Q) = (((((dst_positive_code_data_source_targetlookup) + (dst_positive_scale_data_source_targetlookup)) * S ((dst_positive_code_data_source_targetlookup) + (dst_positive_scale_data_source_targetlookup)) + ((dst_positive_scale_data_source_targetlookup) + (dst_positive_scale_data_source_targetlookup))) + (((dst_negative_code_data_source_targetlookup) + (dst_negative_scale_data_source_targetlookup)) * S ((dst_negative_code_data_source_targetlookup) + (dst_negative_scale_data_source_targetlookup)) + ((dst_negative_scale_data_source_targetlookup) + (dst_negative_scale_data_source_targetlookup)))) * S ((((dst_positive_code_data_source_targetlookup) + (dst_positive_scale_data_source_targetlookup)) * S ((dst_positive_code_data_source_targetlookup) + (dst_positive_scale_data_source_targetlookup)) + ((dst_positive_scale_data_source_targetlookup) + (dst_positive_scale_data_source_targetlookup))) + (((dst_negative_code_data_source_targetlookup) + (dst_negative_scale_data_source_targetlookup)) * S ((dst_negative_code_data_source_targetlookup) + (dst_negative_scale_data_source_targetlookup)) + ((dst_negative_scale_data_source_targetlookup) + (dst_negative_scale_data_source_targetlookup)))) + ((((dst_negative_code_data_source_targetlookup) + (dst_negative_scale_data_source_targetlookup)) * S ((dst_negative_code_data_source_targetlookup) + (dst_negative_scale_data_source_targetlookup)) + ((dst_negative_scale_data_source_targetlookup) + (dst_negative_scale_data_source_targetlookup))) + (((dst_negative_code_data_source_targetlookup) + (dst_negative_scale_data_source_targetlookup)) * S ((dst_negative_code_data_source_targetlookup) + (dst_negative_scale_data_source_targetlookup)) + ((dst_negative_scale_data_source_targetlookup) + (dst_negative_scale_data_source_targetlookup)))))) /\ (((((exists ff_h_pvs_data_source_targetlookuppositive. ff_h_pvs_data_source_targetlookuppositive + S (dst_positive_data_source_targetlookup) = S ((S (dc_index_data_source_target)) * dst_positive_scale_data_source_targetlookup)) /\ exists ff_q_pvs_data_source_targetlookuppositive. dst_positive_code_data_source_targetlookup = ff_q_pvs_data_source_targetlookuppositive * S ((S (dc_index_data_source_target)) * dst_positive_scale_data_source_targetlookup) + (dst_positive_data_source_targetlookup))) /\ (((((exists ff_h_pvs_data_source_targetlookupnegative. ff_h_pvs_data_source_targetlookupnegative + S (dst_negative_data_source_targetlookup) = S ((S (dc_index_data_source_target)) * dst_negative_scale_data_source_targetlookup)) /\ exists ff_q_pvs_data_source_targetlookupnegative. dst_negative_code_data_source_targetlookup = ff_q_pvs_data_source_targetlookupnegative * S ((S (dc_index_data_source_target)) * dst_negative_scale_data_source_targetlookup) + (dst_negative_data_source_targetlookup))) /\ (exists ge_balance_positive_data_source_targetlookupvalue ge_balance_negative_data_source_targetlookupvalue. (((((dc_value_data_source_target) = 2 * (ge_balance_positive_data_source_targetlookupvalue) /\ (ge_balance_negative_data_source_targetlookupvalue) = 0) \/ exists ge_signed_half_data_source_targetlookupvaluedecode. (((dc_value_data_source_target) = 2 * ge_signed_half_data_source_targetlookupvaluedecode + 1 /\ (ge_balance_positive_data_source_targetlookupvalue) = 0) /\ (ge_balance_negative_data_source_targetlookupvalue) = S ge_signed_half_data_source_targetlookupvaluedecode))) /\ ((dst_positive_data_source_targetlookup) + ge_balance_negative_data_source_targetlookupvalue = (dst_negative_data_source_targetlookup) + ge_balance_positive_data_source_targetlookupvalue))))))))) -> ((((~((dc_index_data_source_target)=0)) /\ (exists dc_quotient_data_source_targetentry dc_left_data_source_targetentry dc_right_data_source_targetentry. (((m*n)=(dc_index_data_source_target)*dc_quotient_data_source_targetentry) /\ (((exists dst_positive_code_data_source_targetentryleft dst_positive_scale_data_source_targetentryleft dst_negative_code_data_source_targetentryleft dst_negative_scale_data_source_targetentryleft dst_positive_data_source_targetentryleft dst_negative_data_source_targetentryleft. (((F) = (((((dst_positive_code_data_source_targetentryleft) + (dst_positive_scale_data_source_targetentryleft)) * S ((dst_positive_code_data_source_targetentryleft) + (dst_positive_scale_data_source_targetentryleft)) + ((dst_positive_scale_data_source_targetentryleft) + (dst_positive_scale_data_source_targetentryleft))) + (((dst_negative_code_data_source_targetentryleft) + (dst_negative_scale_data_source_targetentryleft)) * S ((dst_negative_code_data_source_targetentryleft) + (dst_negative_scale_data_source_targetentryleft)) + ((dst_negative_scale_data_source_targetentryleft) + (dst_negative_scale_data_source_targetentryleft)))) * S ((((dst_positive_code_data_source_targetentryleft) + (dst_positive_scale_data_source_targetentryleft)) * S ((dst_positive_code_data_source_targetentryleft) + (dst_positive_scale_data_source_targetentryleft)) + ((dst_positive_scale_data_source_targetentryleft) + (dst_positive_scale_data_source_targetentryleft))) + (((dst_negative_code_data_source_targetentryleft) + (dst_negative_scale_data_source_targetentryleft)) * S ((dst_negative_code_data_source_targetentryleft) + (dst_negative_scale_data_source_targetentryleft)) + ((dst_negative_scale_data_source_targetentryleft) + (dst_negative_scale_data_source_targetentryleft)))) + ((((dst_negative_code_data_source_targetentryleft) + (dst_negative_scale_data_source_targetentryleft)) * S ((dst_negative_code_data_source_targetentryleft) + (dst_negative_scale_data_source_targetentryleft)) + ((dst_negative_scale_data_source_targetentryleft) + (dst_negative_scale_data_source_targetentryleft))) + (((dst_negative_code_data_source_targetentryleft) + (dst_negative_scale_data_source_targetentryleft)) * S ((dst_negative_code_data_source_targetentryleft) + (dst_negative_scale_data_source_targetentryleft)) + ((dst_negative_scale_data_source_targetentryleft) + (dst_negative_scale_data_source_targetentryleft)))))) /\ (((((exists ff_h_pvs_data_source_targetentryleftpositive. ff_h_pvs_data_source_targetentryleftpositive + S (dst_positive_data_source_targetentryleft) = S ((S (dc_index_data_source_target)) * dst_positive_scale_data_source_targetentryleft)) /\ exists ff_q_pvs_data_source_targetentryleftpositive. dst_positive_code_data_source_targetentryleft = ff_q_pvs_data_source_targetentryleftpositive * S ((S (dc_index_data_source_target)) * dst_positive_scale_data_source_targetentryleft) + (dst_positive_data_source_targetentryleft))) /\ (((((exists ff_h_pvs_data_source_targetentryleftnegative. ff_h_pvs_data_source_targetentryleftnegative + S (dst_negative_data_source_targetentryleft) = S ((S (dc_index_data_source_target)) * dst_negative_scale_data_source_targetentryleft)) /\ exists ff_q_pvs_data_source_targetentryleftnegative. dst_negative_code_data_source_targetentryleft = ff_q_pvs_data_source_targetentryleftnegative * S ((S (dc_index_data_source_target)) * dst_negative_scale_data_source_targetentryleft) + (dst_negative_data_source_targetentryleft))) /\ (exists ge_balance_positive_data_source_targetentryleftvalue ge_balance_negative_data_source_targetentryleftvalue. (((((dc_left_data_source_targetentry) = 2 * (ge_balance_positive_data_source_targetentryleftvalue) /\ (ge_balance_negative_data_source_targetentryleftvalue) = 0) \/ exists ge_signed_half_data_source_targetentryleftvaluedecode. (((dc_left_data_source_targetentry) = 2 * ge_signed_half_data_source_targetentryleftvaluedecode + 1 /\ (ge_balance_positive_data_source_targetentryleftvalue) = 0) /\ (ge_balance_negative_data_source_targetentryleftvalue) = S ge_signed_half_data_source_targetentryleftvaluedecode))) /\ ((dst_positive_data_source_targetentryleft) + ge_balance_negative_data_source_targetentryleftvalue = (dst_negative_data_source_targetentryleft) + ge_balance_positive_data_source_targetentryleftvalue))))))))) /\ (((exists dst_positive_code_data_source_targetentryright dst_positive_scale_data_source_targetentryright dst_negative_code_data_source_targetentryright dst_negative_scale_data_source_targetentryright dst_positive_data_source_targetentryright dst_negative_data_source_targetentryright. (((G) = (((((dst_positive_code_data_source_targetentryright) + (dst_positive_scale_data_source_targetentryright)) * S ((dst_positive_code_data_source_targetentryright) + (dst_positive_scale_data_source_targetentryright)) + ((dst_positive_scale_data_source_targetentryright) + (dst_positive_scale_data_source_targetentryright))) + (((dst_negative_code_data_source_targetentryright) + (dst_negative_scale_data_source_targetentryright)) * S ((dst_negative_code_data_source_targetentryright) + (dst_negative_scale_data_source_targetentryright)) + ((dst_negative_scale_data_source_targetentryright) + (dst_negative_scale_data_source_targetentryright)))) * S ((((dst_positive_code_data_source_targetentryright) + (dst_positive_scale_data_source_targetentryright)) * S ((dst_positive_code_data_source_targetentryright) + (dst_positive_scale_data_source_targetentryright)) + ((dst_positive_scale_data_source_targetentryright) + (dst_positive_scale_data_source_targetentryright))) + (((dst_negative_code_data_source_targetentryright) + (dst_negative_scale_data_source_targetentryright)) * S ((dst_negative_code_data_source_targetentryright) + (dst_negative_scale_data_source_targetentryright)) + ((dst_negative_scale_data_source_targetentryright) + (dst_negative_scale_data_source_targetentryright)))) + ((((dst_negative_code_data_source_targetentryright) + (dst_negative_scale_data_source_targetentryright)) * S ((dst_negative_code_data_source_targetentryright) + (dst_negative_scale_data_source_targetentryright)) + ((dst_negative_scale_data_source_targetentryright) + (dst_negative_scale_data_source_targetentryright))) + (((dst_negative_code_data_source_targetentryright) + (dst_negative_scale_data_source_targetentryright)) * S ((dst_negative_code_data_source_targetentryright) + (dst_negative_scale_data_source_targetentryright)) + ((dst_negative_scale_data_source_targetentryright) + (dst_negative_scale_data_source_targetentryright)))))) /\ (((((exists ff_h_pvs_data_source_targetentryrightpositive. ff_h_pvs_data_source_targetentryrightpositive + S (dst_positive_data_source_targetentryright) = S ((S (dc_quotient_data_source_targetentry)) * dst_positive_scale_data_source_targetentryright)) /\ exists ff_q_pvs_data_source_targetentryrightpositive. dst_positive_code_data_source_targetentryright = ff_q_pvs_data_source_targetentryrightpositive * S ((S (dc_quotient_data_source_targetentry)) * dst_positive_scale_data_source_targetentryright) + (dst_positive_data_source_targetentryright))) /\ (((((exists ff_h_pvs_data_source_targetentryrightnegative. ff_h_pvs_data_source_targetentryrightnegative + S (dst_negative_data_source_targetentryright) = S ((S (dc_quotient_data_source_targetentry)) * dst_negative_scale_data_source_targetentryright)) /\ exists ff_q_pvs_data_source_targetentryrightnegative. dst_negative_code_data_source_targetentryright = ff_q_pvs_data_source_targetentryrightnegative * S ((S (dc_quotient_data_source_targetentry)) * dst_negative_scale_data_source_targetentryright) + (dst_negative_data_source_targetentryright))) /\ (exists ge_balance_positive_data_source_targetentryrightvalue ge_balance_negative_data_source_targetentryrightvalue. (((((dc_right_data_source_targetentry) = 2 * (ge_balance_positive_data_source_targetentryrightvalue) /\ (ge_balance_negative_data_source_targetentryrightvalue) = 0) \/ exists ge_signed_half_data_source_targetentryrightvaluedecode. (((dc_right_data_source_targetentry) = 2 * ge_signed_half_data_source_targetentryrightvaluedecode + 1 /\ (ge_balance_positive_data_source_targetentryrightvalue) = 0) /\ (ge_balance_negative_data_source_targetentryrightvalue) = S ge_signed_half_data_source_targetentryrightvaluedecode))) /\ ((dst_positive_data_source_targetentryright) + ge_balance_negative_data_source_targetentryrightvalue = (dst_negative_data_source_targetentryright) + ge_balance_positive_data_source_targetentryrightvalue))))))))) /\ (exists sto_ap_data_source_targetentryproduct sto_an_data_source_targetentryproduct sto_bp_data_source_targetentryproduct sto_bn_data_source_targetentryproduct sto_cp_data_source_targetentryproduct sto_cn_data_source_targetentryproduct. (((((dc_left_data_source_targetentry) = 2 * (sto_ap_data_source_targetentryproduct) /\ (sto_an_data_source_targetentryproduct) = 0) \/ exists ge_signed_half_data_source_targetentryproductleft. (((dc_left_data_source_targetentry) = 2 * ge_signed_half_data_source_targetentryproductleft + 1 /\ (sto_ap_data_source_targetentryproduct) = 0) /\ (sto_an_data_source_targetentryproduct) = S ge_signed_half_data_source_targetentryproductleft))) /\ ((((((dc_right_data_source_targetentry) = 2 * (sto_bp_data_source_targetentryproduct) /\ (sto_bn_data_source_targetentryproduct) = 0) \/ exists ge_signed_half_data_source_targetentryproductright. (((dc_right_data_source_targetentry) = 2 * ge_signed_half_data_source_targetentryproductright + 1 /\ (sto_bp_data_source_targetentryproduct) = 0) /\ (sto_bn_data_source_targetentryproduct) = S ge_signed_half_data_source_targetentryproductright))) /\ ((((((dc_value_data_source_target) = 2 * (sto_cp_data_source_targetentryproduct) /\ (sto_cn_data_source_targetentryproduct) = 0) \/ exists ge_signed_half_data_source_targetentryproductoutput. (((dc_value_data_source_target) = 2 * ge_signed_half_data_source_targetentryproductoutput + 1 /\ (sto_cp_data_source_targetentryproduct) = 0) /\ (sto_cn_data_source_targetentryproduct) = S ge_signed_half_data_source_targetentryproductoutput))) /\ ((sto_ap_data_source_targetentryproduct * sto_bp_data_source_targetentryproduct + sto_an_data_source_targetentryproduct * sto_bn_data_source_targetentryproduct) + sto_cn_data_source_targetentryproduct = (sto_ap_data_source_targetentryproduct * sto_bn_data_source_targetentryproduct + sto_an_data_source_targetentryproduct * sto_bp_data_source_targetentryproduct) + sto_cp_data_source_targetentryproduct))))))))))))))) \/ ((((dc_index_data_source_target)=0 \/ ~(exists pvs_factor_data_source_targetentrynondivisor. (m*n) = (dc_index_data_source_target) * pvs_factor_data_source_targetentrynondivisor)) /\ ((dc_value_data_source_target)=0))))))) -> (exists T r s. (((((~((N)=0)) /\ (((exists dst_positive_code_data_constructedFtable dst_positive_scale_data_constructedFtable dst_negative_code_data_constructedFtable dst_negative_scale_data_constructedFtable. (((F) = (((((dst_positive_code_data_constructedFtable) + (dst_positive_scale_data_constructedFtable)) * S ((dst_positive_code_data_constructedFtable) + (dst_positive_scale_data_constructedFtable)) + ((dst_positive_scale_data_constructedFtable) + (dst_positive_scale_data_constructedFtable))) + (((dst_negative_code_data_constructedFtable) + (dst_negative_scale_data_constructedFtable)) * S ((dst_negative_code_data_constructedFtable) + (dst_negative_scale_data_constructedFtable)) + ((dst_negative_scale_data_constructedFtable) + (dst_negative_scale_data_constructedFtable)))) * S ((((dst_positive_code_data_constructedFtable) + (dst_positive_scale_data_constructedFtable)) * S ((dst_positive_code_data_constructedFtable) + (dst_positive_scale_data_constructedFtable)) + ((dst_positive_scale_data_constructedFtable) + (dst_positive_scale_data_constructedFtable))) + (((dst_negative_code_data_constructedFtable) + (dst_negative_scale_data_constructedFtable)) * S ((dst_negative_code_data_constructedFtable) + (dst_negative_scale_data_constructedFtable)) + ((dst_negative_scale_data_constructedFtable) + (dst_negative_scale_data_constructedFtable)))) + ((((dst_negative_code_data_constructedFtable) + (dst_negative_scale_data_constructedFtable)) * S ((dst_negative_code_data_constructedFtable) + (dst_negative_scale_data_constructedFtable)) + ((dst_negative_scale_data_constructedFtable) + (dst_negative_scale_data_constructedFtable))) + (((dst_negative_code_data_constructedFtable) + (dst_negative_scale_data_constructedFtable)) * S ((dst_negative_code_data_constructedFtable) + (dst_negative_scale_data_constructedFtable)) + ((dst_negative_scale_data_constructedFtable) + (dst_negative_scale_data_constructedFtable)))))) /\ (forall dst_index_data_constructedFtable. (exists pvs_le_gap_data_constructedFtabledomain. pvs_le_gap_data_constructedFtabledomain + (dst_index_data_constructedFtable) = (N)) -> exists dst_positive_data_constructedFtable dst_negative_data_constructedFtable dst_value_data_constructedFtable. ((((exists ff_h_pvs_data_constructedFtableentrypositive. ff_h_pvs_data_constructedFtableentrypositive + S (dst_positive_data_constructedFtable) = S ((S (dst_index_data_constructedFtable)) * dst_positive_scale_data_constructedFtable)) /\ exists ff_q_pvs_data_constructedFtableentrypositive. dst_positive_code_data_constructedFtable = ff_q_pvs_data_constructedFtableentrypositive * S ((S (dst_index_data_constructedFtable)) * dst_positive_scale_data_constructedFtable) + (dst_positive_data_constructedFtable))) /\ (((((exists ff_h_pvs_data_constructedFtableentrynegative. ff_h_pvs_data_constructedFtableentrynegative + S (dst_negative_data_constructedFtable) = S ((S (dst_index_data_constructedFtable)) * dst_negative_scale_data_constructedFtable)) /\ exists ff_q_pvs_data_constructedFtableentrynegative. dst_negative_code_data_constructedFtable = ff_q_pvs_data_constructedFtableentrynegative * S ((S (dst_index_data_constructedFtable)) * dst_negative_scale_data_constructedFtable) + (dst_negative_data_constructedFtable))) /\ (exists ge_balance_positive_data_constructedFtableentryvalue ge_balance_negative_data_constructedFtableentryvalue. (((((dst_value_data_constructedFtable) = 2 * (ge_balance_positive_data_constructedFtableentryvalue) /\ (ge_balance_negative_data_constructedFtableentryvalue) = 0) \/ exists ge_signed_half_data_constructedFtableentryvaluedecode. (((dst_value_data_constructedFtable) = 2 * ge_signed_half_data_constructedFtableentryvaluedecode + 1 /\ (ge_balance_positive_data_constructedFtableentryvalue) = 0) /\ (ge_balance_negative_data_constructedFtableentryvalue) = S ge_signed_half_data_constructedFtableentryvaluedecode))) /\ ((dst_positive_data_constructedFtable) + ge_balance_negative_data_constructedFtableentryvalue = (dst_negative_data_constructedFtable) + ge_balance_positive_data_constructedFtableentryvalue))))))))) /\ (((exists dst_positive_code_data_constructedFone dst_positive_scale_data_constructedFone dst_negative_code_data_constructedFone dst_negative_scale_data_constructedFone dst_positive_data_constructedFone dst_negative_data_constructedFone. (((F) = (((((dst_positive_code_data_constructedFone) + (dst_positive_scale_data_constructedFone)) * S ((dst_positive_code_data_constructedFone) + (dst_positive_scale_data_constructedFone)) + ((dst_positive_scale_data_constructedFone) + (dst_positive_scale_data_constructedFone))) + (((dst_negative_code_data_constructedFone) + (dst_negative_scale_data_constructedFone)) * S ((dst_negative_code_data_constructedFone) + (dst_negative_scale_data_constructedFone)) + ((dst_negative_scale_data_constructedFone) + (dst_negative_scale_data_constructedFone)))) * S ((((dst_positive_code_data_constructedFone) + (dst_positive_scale_data_constructedFone)) * S ((dst_positive_code_data_constructedFone) + (dst_positive_scale_data_constructedFone)) + ((dst_positive_scale_data_constructedFone) + (dst_positive_scale_data_constructedFone))) + (((dst_negative_code_data_constructedFone) + (dst_negative_scale_data_constructedFone)) * S ((dst_negative_code_data_constructedFone) + (dst_negative_scale_data_constructedFone)) + ((dst_negative_scale_data_constructedFone) + (dst_negative_scale_data_constructedFone)))) + ((((dst_negative_code_data_constructedFone) + (dst_negative_scale_data_constructedFone)) * S ((dst_negative_code_data_constructedFone) + (dst_negative_scale_data_constructedFone)) + ((dst_negative_scale_data_constructedFone) + (dst_negative_scale_data_constructedFone))) + (((dst_negative_code_data_constructedFone) + (dst_negative_scale_data_constructedFone)) * S ((dst_negative_code_data_constructedFone) + (dst_negative_scale_data_constructedFone)) + ((dst_negative_scale_data_constructedFone) + (dst_negative_scale_data_constructedFone)))))) /\ (((((exists ff_h_pvs_data_constructedFonepositive. ff_h_pvs_data_constructedFonepositive + S (dst_positive_data_constructedFone) = S ((S (1)) * dst_positive_scale_data_constructedFone)) /\ exists ff_q_pvs_data_constructedFonepositive. dst_positive_code_data_constructedFone = ff_q_pvs_data_constructedFonepositive * S ((S (1)) * dst_positive_scale_data_constructedFone) + (dst_positive_data_constructedFone))) /\ (((((exists ff_h_pvs_data_constructedFonenegative. ff_h_pvs_data_constructedFonenegative + S (dst_negative_data_constructedFone) = S ((S (1)) * dst_negative_scale_data_constructedFone)) /\ exists ff_q_pvs_data_constructedFonenegative. dst_negative_code_data_constructedFone = ff_q_pvs_data_constructedFonenegative * S ((S (1)) * dst_negative_scale_data_constructedFone) + (dst_negative_data_constructedFone))) /\ (exists ge_balance_positive_data_constructedFonevalue ge_balance_negative_data_constructedFonevalue. (((((2) = 2 * (ge_balance_positive_data_constructedFonevalue) /\ (ge_balance_negative_data_constructedFonevalue) = 0) \/ exists ge_signed_half_data_constructedFonevaluedecode. (((2) = 2 * ge_signed_half_data_constructedFonevaluedecode + 1 /\ (ge_balance_positive_data_constructedFonevalue) = 0) /\ (ge_balance_negative_data_constructedFonevalue) = S ge_signed_half_data_constructedFonevaluedecode))) /\ ((dst_positive_data_constructedFone) + ge_balance_negative_data_constructedFonevalue = (dst_negative_data_constructedFone) + ge_balance_positive_data_constructedFonevalue))))))))) /\ (forall mp_a_data_constructedF mp_b_data_constructedF mp_x_data_constructedF mp_y_data_constructedF mp_z_data_constructedF. ~(mp_a_data_constructedF=0) -> ~(mp_b_data_constructedF=0) -> (exists pvs_le_gap_data_constructedFbound. pvs_le_gap_data_constructedFbound + (mp_a_data_constructedF*mp_b_data_constructedF) = (N)) -> (forall frp_divisor_data_constructedFcoprime. (exists frp_left_factor_data_constructedFcoprime. mp_a_data_constructedF = frp_divisor_data_constructedFcoprime * frp_left_factor_data_constructedFcoprime) -> (exists frp_right_factor_data_constructedFcoprime. mp_b_data_constructedF = frp_divisor_data_constructedFcoprime * frp_right_factor_data_constructedFcoprime) -> frp_divisor_data_constructedFcoprime = 1) -> (exists dst_positive_code_data_constructedFfirst dst_positive_scale_data_constructedFfirst dst_negative_code_data_constructedFfirst dst_negative_scale_data_constructedFfirst dst_positive_data_constructedFfirst dst_negative_data_constructedFfirst. (((F) = (((((dst_positive_code_data_constructedFfirst) + (dst_positive_scale_data_constructedFfirst)) * S ((dst_positive_code_data_constructedFfirst) + (dst_positive_scale_data_constructedFfirst)) + ((dst_positive_scale_data_constructedFfirst) + (dst_positive_scale_data_constructedFfirst))) + (((dst_negative_code_data_constructedFfirst) + (dst_negative_scale_data_constructedFfirst)) * S ((dst_negative_code_data_constructedFfirst) + (dst_negative_scale_data_constructedFfirst)) + ((dst_negative_scale_data_constructedFfirst) + (dst_negative_scale_data_constructedFfirst)))) * S ((((dst_positive_code_data_constructedFfirst) + (dst_positive_scale_data_constructedFfirst)) * S ((dst_positive_code_data_constructedFfirst) + (dst_positive_scale_data_constructedFfirst)) + ((dst_positive_scale_data_constructedFfirst) + (dst_positive_scale_data_constructedFfirst))) + (((dst_negative_code_data_constructedFfirst) + (dst_negative_scale_data_constructedFfirst)) * S ((dst_negative_code_data_constructedFfirst) + (dst_negative_scale_data_constructedFfirst)) + ((dst_negative_scale_data_constructedFfirst) + (dst_negative_scale_data_constructedFfirst)))) + ((((dst_negative_code_data_constructedFfirst) + (dst_negative_scale_data_constructedFfirst)) * S ((dst_negative_code_data_constructedFfirst) + (dst_negative_scale_data_constructedFfirst)) + ((dst_negative_scale_data_constructedFfirst) + (dst_negative_scale_data_constructedFfirst))) + (((dst_negative_code_data_constructedFfirst) + (dst_negative_scale_data_constructedFfirst)) * S ((dst_negative_code_data_constructedFfirst) + (dst_negative_scale_data_constructedFfirst)) + ((dst_negative_scale_data_constructedFfirst) + (dst_negative_scale_data_constructedFfirst)))))) /\ (((((exists ff_h_pvs_data_constructedFfirstpositive. ff_h_pvs_data_constructedFfirstpositive + S (dst_positive_data_constructedFfirst) = S ((S (mp_a_data_constructedF)) * dst_positive_scale_data_constructedFfirst)) /\ exists ff_q_pvs_data_constructedFfirstpositive. dst_positive_code_data_constructedFfirst = ff_q_pvs_data_constructedFfirstpositive * S ((S (mp_a_data_constructedF)) * dst_positive_scale_data_constructedFfirst) + (dst_positive_data_constructedFfirst))) /\ (((((exists ff_h_pvs_data_constructedFfirstnegative. ff_h_pvs_data_constructedFfirstnegative + S (dst_negative_data_constructedFfirst) = S ((S (mp_a_data_constructedF)) * dst_negative_scale_data_constructedFfirst)) /\ exists ff_q_pvs_data_constructedFfirstnegative. dst_negative_code_data_constructedFfirst = ff_q_pvs_data_constructedFfirstnegative * S ((S (mp_a_data_constructedF)) * dst_negative_scale_data_constructedFfirst) + (dst_negative_data_constructedFfirst))) /\ (exists ge_balance_positive_data_constructedFfirstvalue ge_balance_negative_data_constructedFfirstvalue. (((((mp_x_data_constructedF) = 2 * (ge_balance_positive_data_constructedFfirstvalue) /\ (ge_balance_negative_data_constructedFfirstvalue) = 0) \/ exists ge_signed_half_data_constructedFfirstvaluedecode. (((mp_x_data_constructedF) = 2 * ge_signed_half_data_constructedFfirstvaluedecode + 1 /\ (ge_balance_positive_data_constructedFfirstvalue) = 0) /\ (ge_balance_negative_data_constructedFfirstvalue) = S ge_signed_half_data_constructedFfirstvaluedecode))) /\ ((dst_positive_data_constructedFfirst) + ge_balance_negative_data_constructedFfirstvalue = (dst_negative_data_constructedFfirst) + ge_balance_positive_data_constructedFfirstvalue))))))))) -> (exists dst_positive_code_data_constructedFsecond dst_positive_scale_data_constructedFsecond dst_negative_code_data_constructedFsecond dst_negative_scale_data_constructedFsecond dst_positive_data_constructedFsecond dst_negative_data_constructedFsecond. (((F) = (((((dst_positive_code_data_constructedFsecond) + (dst_positive_scale_data_constructedFsecond)) * S ((dst_positive_code_data_constructedFsecond) + (dst_positive_scale_data_constructedFsecond)) + ((dst_positive_scale_data_constructedFsecond) + (dst_positive_scale_data_constructedFsecond))) + (((dst_negative_code_data_constructedFsecond) + (dst_negative_scale_data_constructedFsecond)) * S ((dst_negative_code_data_constructedFsecond) + (dst_negative_scale_data_constructedFsecond)) + ((dst_negative_scale_data_constructedFsecond) + (dst_negative_scale_data_constructedFsecond)))) * S ((((dst_positive_code_data_constructedFsecond) + (dst_positive_scale_data_constructedFsecond)) * S ((dst_positive_code_data_constructedFsecond) + (dst_positive_scale_data_constructedFsecond)) + ((dst_positive_scale_data_constructedFsecond) + (dst_positive_scale_data_constructedFsecond))) + (((dst_negative_code_data_constructedFsecond) + (dst_negative_scale_data_constructedFsecond)) * S ((dst_negative_code_data_constructedFsecond) + (dst_negative_scale_data_constructedFsecond)) + ((dst_negative_scale_data_constructedFsecond) + (dst_negative_scale_data_constructedFsecond)))) + ((((dst_negative_code_data_constructedFsecond) + (dst_negative_scale_data_constructedFsecond)) * S ((dst_negative_code_data_constructedFsecond) + (dst_negative_scale_data_constructedFsecond)) + ((dst_negative_scale_data_constructedFsecond) + (dst_negative_scale_data_constructedFsecond))) + (((dst_negative_code_data_constructedFsecond) + (dst_negative_scale_data_constructedFsecond)) * S ((dst_negative_code_data_constructedFsecond) + (dst_negative_scale_data_constructedFsecond)) + ((dst_negative_scale_data_constructedFsecond) + (dst_negative_scale_data_constructedFsecond)))))) /\ (((((exists ff_h_pvs_data_constructedFsecondpositive. ff_h_pvs_data_constructedFsecondpositive + S (dst_positive_data_constructedFsecond) = S ((S (mp_b_data_constructedF)) * dst_positive_scale_data_constructedFsecond)) /\ exists ff_q_pvs_data_constructedFsecondpositive. dst_positive_code_data_constructedFsecond = ff_q_pvs_data_constructedFsecondpositive * S ((S (mp_b_data_constructedF)) * dst_positive_scale_data_constructedFsecond) + (dst_positive_data_constructedFsecond))) /\ (((((exists ff_h_pvs_data_constructedFsecondnegative. ff_h_pvs_data_constructedFsecondnegative + S (dst_negative_data_constructedFsecond) = S ((S (mp_b_data_constructedF)) * dst_negative_scale_data_constructedFsecond)) /\ exists ff_q_pvs_data_constructedFsecondnegative. dst_negative_code_data_constructedFsecond = ff_q_pvs_data_constructedFsecondnegative * S ((S (mp_b_data_constructedF)) * dst_negative_scale_data_constructedFsecond) + (dst_negative_data_constructedFsecond))) /\ (exists ge_balance_positive_data_constructedFsecondvalue ge_balance_negative_data_constructedFsecondvalue. (((((mp_y_data_constructedF) = 2 * (ge_balance_positive_data_constructedFsecondvalue) /\ (ge_balance_negative_data_constructedFsecondvalue) = 0) \/ exists ge_signed_half_data_constructedFsecondvaluedecode. (((mp_y_data_constructedF) = 2 * ge_signed_half_data_constructedFsecondvaluedecode + 1 /\ (ge_balance_positive_data_constructedFsecondvalue) = 0) /\ (ge_balance_negative_data_constructedFsecondvalue) = S ge_signed_half_data_constructedFsecondvaluedecode))) /\ ((dst_positive_data_constructedFsecond) + ge_balance_negative_data_constructedFsecondvalue = (dst_negative_data_constructedFsecond) + ge_balance_positive_data_constructedFsecondvalue))))))))) -> (exists dst_positive_code_data_constructedFproduct dst_positive_scale_data_constructedFproduct dst_negative_code_data_constructedFproduct dst_negative_scale_data_constructedFproduct dst_positive_data_constructedFproduct dst_negative_data_constructedFproduct. (((F) = (((((dst_positive_code_data_constructedFproduct) + (dst_positive_scale_data_constructedFproduct)) * S ((dst_positive_code_data_constructedFproduct) + (dst_positive_scale_data_constructedFproduct)) + ((dst_positive_scale_data_constructedFproduct) + (dst_positive_scale_data_constructedFproduct))) + (((dst_negative_code_data_constructedFproduct) + (dst_negative_scale_data_constructedFproduct)) * S ((dst_negative_code_data_constructedFproduct) + (dst_negative_scale_data_constructedFproduct)) + ((dst_negative_scale_data_constructedFproduct) + (dst_negative_scale_data_constructedFproduct)))) * S ((((dst_positive_code_data_constructedFproduct) + (dst_positive_scale_data_constructedFproduct)) * S ((dst_positive_code_data_constructedFproduct) + (dst_positive_scale_data_constructedFproduct)) + ((dst_positive_scale_data_constructedFproduct) + (dst_positive_scale_data_constructedFproduct))) + (((dst_negative_code_data_constructedFproduct) + (dst_negative_scale_data_constructedFproduct)) * S ((dst_negative_code_data_constructedFproduct) + (dst_negative_scale_data_constructedFproduct)) + ((dst_negative_scale_data_constructedFproduct) + (dst_negative_scale_data_constructedFproduct)))) + ((((dst_negative_code_data_constructedFproduct) + (dst_negative_scale_data_constructedFproduct)) * S ((dst_negative_code_data_constructedFproduct) + (dst_negative_scale_data_constructedFproduct)) + ((dst_negative_scale_data_constructedFproduct) + (dst_negative_scale_data_constructedFproduct))) + (((dst_negative_code_data_constructedFproduct) + (dst_negative_scale_data_constructedFproduct)) * S ((dst_negative_code_data_constructedFproduct) + (dst_negative_scale_data_constructedFproduct)) + ((dst_negative_scale_data_constructedFproduct) + (dst_negative_scale_data_constructedFproduct)))))) /\ (((((exists ff_h_pvs_data_constructedFproductpositive. ff_h_pvs_data_constructedFproductpositive + S (dst_positive_data_constructedFproduct) = S ((S (mp_a_data_constructedF*mp_b_data_constructedF)) * dst_positive_scale_data_constructedFproduct)) /\ exists ff_q_pvs_data_constructedFproductpositive. dst_positive_code_data_constructedFproduct = ff_q_pvs_data_constructedFproductpositive * S ((S (mp_a_data_constructedF*mp_b_data_constructedF)) * dst_positive_scale_data_constructedFproduct) + (dst_positive_data_constructedFproduct))) /\ (((((exists ff_h_pvs_data_constructedFproductnegative. ff_h_pvs_data_constructedFproductnegative + S (dst_negative_data_constructedFproduct) = S ((S (mp_a_data_constructedF*mp_b_data_constructedF)) * dst_negative_scale_data_constructedFproduct)) /\ exists ff_q_pvs_data_constructedFproductnegative. dst_negative_code_data_constructedFproduct = ff_q_pvs_data_constructedFproductnegative * S ((S (mp_a_data_constructedF*mp_b_data_constructedF)) * dst_negative_scale_data_constructedFproduct) + (dst_negative_data_constructedFproduct))) /\ (exists ge_balance_positive_data_constructedFproductvalue ge_balance_negative_data_constructedFproductvalue. (((((mp_z_data_constructedF) = 2 * (ge_balance_positive_data_constructedFproductvalue) /\ (ge_balance_negative_data_constructedFproductvalue) = 0) \/ exists ge_signed_half_data_constructedFproductvaluedecode. (((mp_z_data_constructedF) = 2 * ge_signed_half_data_constructedFproductvaluedecode + 1 /\ (ge_balance_positive_data_constructedFproductvalue) = 0) /\ (ge_balance_negative_data_constructedFproductvalue) = S ge_signed_half_data_constructedFproductvaluedecode))) /\ ((dst_positive_data_constructedFproduct) + ge_balance_negative_data_constructedFproductvalue = (dst_negative_data_constructedFproduct) + ge_balance_positive_data_constructedFproductvalue))))))))) -> (exists sto_ap_data_constructedFlaw sto_an_data_constructedFlaw sto_bp_data_constructedFlaw sto_bn_data_constructedFlaw sto_cp_data_constructedFlaw sto_cn_data_constructedFlaw. (((((mp_x_data_constructedF) = 2 * (sto_ap_data_constructedFlaw) /\ (sto_an_data_constructedFlaw) = 0) \/ exists ge_signed_half_data_constructedFlawleft. (((mp_x_data_constructedF) = 2 * ge_signed_half_data_constructedFlawleft + 1 /\ (sto_ap_data_constructedFlaw) = 0) /\ (sto_an_data_constructedFlaw) = S ge_signed_half_data_constructedFlawleft))) /\ ((((((mp_y_data_constructedF) = 2 * (sto_bp_data_constructedFlaw) /\ (sto_bn_data_constructedFlaw) = 0) \/ exists ge_signed_half_data_constructedFlawright. (((mp_y_data_constructedF) = 2 * ge_signed_half_data_constructedFlawright + 1 /\ (sto_bp_data_constructedFlaw) = 0) /\ (sto_bn_data_constructedFlaw) = S ge_signed_half_data_constructedFlawright))) /\ ((((((mp_z_data_constructedF) = 2 * (sto_cp_data_constructedFlaw) /\ (sto_cn_data_constructedFlaw) = 0) \/ exists ge_signed_half_data_constructedFlawoutput. (((mp_z_data_constructedF) = 2 * ge_signed_half_data_constructedFlawoutput + 1 /\ (sto_cp_data_constructedFlaw) = 0) /\ (sto_cn_data_constructedFlaw) = S ge_signed_half_data_constructedFlawoutput))) /\ ((sto_ap_data_constructedFlaw * sto_bp_data_constructedFlaw + sto_an_data_constructedFlaw * sto_bn_data_constructedFlaw) + sto_cn_data_constructedFlaw = (sto_ap_data_constructedFlaw * sto_bn_data_constructedFlaw + sto_an_data_constructedFlaw * sto_bp_data_constructedFlaw) + sto_cp_data_constructedFlaw)))))))))))))) /\ (((((~((N)=0)) /\ (((exists dst_positive_code_data_constructedGtable dst_positive_scale_data_constructedGtable dst_negative_code_data_constructedGtable dst_negative_scale_data_constructedGtable. (((G) = (((((dst_positive_code_data_constructedGtable) + (dst_positive_scale_data_constructedGtable)) * S ((dst_positive_code_data_constructedGtable) + (dst_positive_scale_data_constructedGtable)) + ((dst_positive_scale_data_constructedGtable) + (dst_positive_scale_data_constructedGtable))) + (((dst_negative_code_data_constructedGtable) + (dst_negative_scale_data_constructedGtable)) * S ((dst_negative_code_data_constructedGtable) + (dst_negative_scale_data_constructedGtable)) + ((dst_negative_scale_data_constructedGtable) + (dst_negative_scale_data_constructedGtable)))) * S ((((dst_positive_code_data_constructedGtable) + (dst_positive_scale_data_constructedGtable)) * S ((dst_positive_code_data_constructedGtable) + (dst_positive_scale_data_constructedGtable)) + ((dst_positive_scale_data_constructedGtable) + (dst_positive_scale_data_constructedGtable))) + (((dst_negative_code_data_constructedGtable) + (dst_negative_scale_data_constructedGtable)) * S ((dst_negative_code_data_constructedGtable) + (dst_negative_scale_data_constructedGtable)) + ((dst_negative_scale_data_constructedGtable) + (dst_negative_scale_data_constructedGtable)))) + ((((dst_negative_code_data_constructedGtable) + (dst_negative_scale_data_constructedGtable)) * S ((dst_negative_code_data_constructedGtable) + (dst_negative_scale_data_constructedGtable)) + ((dst_negative_scale_data_constructedGtable) + (dst_negative_scale_data_constructedGtable))) + (((dst_negative_code_data_constructedGtable) + (dst_negative_scale_data_constructedGtable)) * S ((dst_negative_code_data_constructedGtable) + (dst_negative_scale_data_constructedGtable)) + ((dst_negative_scale_data_constructedGtable) + (dst_negative_scale_data_constructedGtable)))))) /\ (forall dst_index_data_constructedGtable. (exists pvs_le_gap_data_constructedGtabledomain. pvs_le_gap_data_constructedGtabledomain + (dst_index_data_constructedGtable) = (N)) -> exists dst_positive_data_constructedGtable dst_negative_data_constructedGtable dst_value_data_constructedGtable. ((((exists ff_h_pvs_data_constructedGtableentrypositive. ff_h_pvs_data_constructedGtableentrypositive + S (dst_positive_data_constructedGtable) = S ((S (dst_index_data_constructedGtable)) * dst_positive_scale_data_constructedGtable)) /\ exists ff_q_pvs_data_constructedGtableentrypositive. dst_positive_code_data_constructedGtable = ff_q_pvs_data_constructedGtableentrypositive * S ((S (dst_index_data_constructedGtable)) * dst_positive_scale_data_constructedGtable) + (dst_positive_data_constructedGtable))) /\ (((((exists ff_h_pvs_data_constructedGtableentrynegative. ff_h_pvs_data_constructedGtableentrynegative + S (dst_negative_data_constructedGtable) = S ((S (dst_index_data_constructedGtable)) * dst_negative_scale_data_constructedGtable)) /\ exists ff_q_pvs_data_constructedGtableentrynegative. dst_negative_code_data_constructedGtable = ff_q_pvs_data_constructedGtableentrynegative * S ((S (dst_index_data_constructedGtable)) * dst_negative_scale_data_constructedGtable) + (dst_negative_data_constructedGtable))) /\ (exists ge_balance_positive_data_constructedGtableentryvalue ge_balance_negative_data_constructedGtableentryvalue. (((((dst_value_data_constructedGtable) = 2 * (ge_balance_positive_data_constructedGtableentryvalue) /\ (ge_balance_negative_data_constructedGtableentryvalue) = 0) \/ exists ge_signed_half_data_constructedGtableentryvaluedecode. (((dst_value_data_constructedGtable) = 2 * ge_signed_half_data_constructedGtableentryvaluedecode + 1 /\ (ge_balance_positive_data_constructedGtableentryvalue) = 0) /\ (ge_balance_negative_data_constructedGtableentryvalue) = S ge_signed_half_data_constructedGtableentryvaluedecode))) /\ ((dst_positive_data_constructedGtable) + ge_balance_negative_data_constructedGtableentryvalue = (dst_negative_data_constructedGtable) + ge_balance_positive_data_constructedGtableentryvalue))))))))) /\ (((exists dst_positive_code_data_constructedGone dst_positive_scale_data_constructedGone dst_negative_code_data_constructedGone dst_negative_scale_data_constructedGone dst_positive_data_constructedGone dst_negative_data_constructedGone. (((G) = (((((dst_positive_code_data_constructedGone) + (dst_positive_scale_data_constructedGone)) * S ((dst_positive_code_data_constructedGone) + (dst_positive_scale_data_constructedGone)) + ((dst_positive_scale_data_constructedGone) + (dst_positive_scale_data_constructedGone))) + (((dst_negative_code_data_constructedGone) + (dst_negative_scale_data_constructedGone)) * S ((dst_negative_code_data_constructedGone) + (dst_negative_scale_data_constructedGone)) + ((dst_negative_scale_data_constructedGone) + (dst_negative_scale_data_constructedGone)))) * S ((((dst_positive_code_data_constructedGone) + (dst_positive_scale_data_constructedGone)) * S ((dst_positive_code_data_constructedGone) + (dst_positive_scale_data_constructedGone)) + ((dst_positive_scale_data_constructedGone) + (dst_positive_scale_data_constructedGone))) + (((dst_negative_code_data_constructedGone) + (dst_negative_scale_data_constructedGone)) * S ((dst_negative_code_data_constructedGone) + (dst_negative_scale_data_constructedGone)) + ((dst_negative_scale_data_constructedGone) + (dst_negative_scale_data_constructedGone)))) + ((((dst_negative_code_data_constructedGone) + (dst_negative_scale_data_constructedGone)) * S ((dst_negative_code_data_constructedGone) + (dst_negative_scale_data_constructedGone)) + ((dst_negative_scale_data_constructedGone) + (dst_negative_scale_data_constructedGone))) + (((dst_negative_code_data_constructedGone) + (dst_negative_scale_data_constructedGone)) * S ((dst_negative_code_data_constructedGone) + (dst_negative_scale_data_constructedGone)) + ((dst_negative_scale_data_constructedGone) + (dst_negative_scale_data_constructedGone)))))) /\ (((((exists ff_h_pvs_data_constructedGonepositive. ff_h_pvs_data_constructedGonepositive + S (dst_positive_data_constructedGone) = S ((S (1)) * dst_positive_scale_data_constructedGone)) /\ exists ff_q_pvs_data_constructedGonepositive. dst_positive_code_data_constructedGone = ff_q_pvs_data_constructedGonepositive * S ((S (1)) * dst_positive_scale_data_constructedGone) + (dst_positive_data_constructedGone))) /\ (((((exists ff_h_pvs_data_constructedGonenegative. ff_h_pvs_data_constructedGonenegative + S (dst_negative_data_constructedGone) = S ((S (1)) * dst_negative_scale_data_constructedGone)) /\ exists ff_q_pvs_data_constructedGonenegative. dst_negative_code_data_constructedGone = ff_q_pvs_data_constructedGonenegative * S ((S (1)) * dst_negative_scale_data_constructedGone) + (dst_negative_data_constructedGone))) /\ (exists ge_balance_positive_data_constructedGonevalue ge_balance_negative_data_constructedGonevalue. (((((2) = 2 * (ge_balance_positive_data_constructedGonevalue) /\ (ge_balance_negative_data_constructedGonevalue) = 0) \/ exists ge_signed_half_data_constructedGonevaluedecode. (((2) = 2 * ge_signed_half_data_constructedGonevaluedecode + 1 /\ (ge_balance_positive_data_constructedGonevalue) = 0) /\ (ge_balance_negative_data_constructedGonevalue) = S ge_signed_half_data_constructedGonevaluedecode))) /\ ((dst_positive_data_constructedGone) + ge_balance_negative_data_constructedGonevalue = (dst_negative_data_constructedGone) + ge_balance_positive_data_constructedGonevalue))))))))) /\ (forall mp_a_data_constructedG mp_b_data_constructedG mp_x_data_constructedG mp_y_data_constructedG mp_z_data_constructedG. ~(mp_a_data_constructedG=0) -> ~(mp_b_data_constructedG=0) -> (exists pvs_le_gap_data_constructedGbound. pvs_le_gap_data_constructedGbound + (mp_a_data_constructedG*mp_b_data_constructedG) = (N)) -> (forall frp_divisor_data_constructedGcoprime. (exists frp_left_factor_data_constructedGcoprime. mp_a_data_constructedG = frp_divisor_data_constructedGcoprime * frp_left_factor_data_constructedGcoprime) -> (exists frp_right_factor_data_constructedGcoprime. mp_b_data_constructedG = frp_divisor_data_constructedGcoprime * frp_right_factor_data_constructedGcoprime) -> frp_divisor_data_constructedGcoprime = 1) -> (exists dst_positive_code_data_constructedGfirst dst_positive_scale_data_constructedGfirst dst_negative_code_data_constructedGfirst dst_negative_scale_data_constructedGfirst dst_positive_data_constructedGfirst dst_negative_data_constructedGfirst. (((G) = (((((dst_positive_code_data_constructedGfirst) + (dst_positive_scale_data_constructedGfirst)) * S ((dst_positive_code_data_constructedGfirst) + (dst_positive_scale_data_constructedGfirst)) + ((dst_positive_scale_data_constructedGfirst) + (dst_positive_scale_data_constructedGfirst))) + (((dst_negative_code_data_constructedGfirst) + (dst_negative_scale_data_constructedGfirst)) * S ((dst_negative_code_data_constructedGfirst) + (dst_negative_scale_data_constructedGfirst)) + ((dst_negative_scale_data_constructedGfirst) + (dst_negative_scale_data_constructedGfirst)))) * S ((((dst_positive_code_data_constructedGfirst) + (dst_positive_scale_data_constructedGfirst)) * S ((dst_positive_code_data_constructedGfirst) + (dst_positive_scale_data_constructedGfirst)) + ((dst_positive_scale_data_constructedGfirst) + (dst_positive_scale_data_constructedGfirst))) + (((dst_negative_code_data_constructedGfirst) + (dst_negative_scale_data_constructedGfirst)) * S ((dst_negative_code_data_constructedGfirst) + (dst_negative_scale_data_constructedGfirst)) + ((dst_negative_scale_data_constructedGfirst) + (dst_negative_scale_data_constructedGfirst)))) + ((((dst_negative_code_data_constructedGfirst) + (dst_negative_scale_data_constructedGfirst)) * S ((dst_negative_code_data_constructedGfirst) + (dst_negative_scale_data_constructedGfirst)) + ((dst_negative_scale_data_constructedGfirst) + (dst_negative_scale_data_constructedGfirst))) + (((dst_negative_code_data_constructedGfirst) + (dst_negative_scale_data_constructedGfirst)) * S ((dst_negative_code_data_constructedGfirst) + (dst_negative_scale_data_constructedGfirst)) + ((dst_negative_scale_data_constructedGfirst) + (dst_negative_scale_data_constructedGfirst)))))) /\ (((((exists ff_h_pvs_data_constructedGfirstpositive. ff_h_pvs_data_constructedGfirstpositive + S (dst_positive_data_constructedGfirst) = S ((S (mp_a_data_constructedG)) * dst_positive_scale_data_constructedGfirst)) /\ exists ff_q_pvs_data_constructedGfirstpositive. dst_positive_code_data_constructedGfirst = ff_q_pvs_data_constructedGfirstpositive * S ((S (mp_a_data_constructedG)) * dst_positive_scale_data_constructedGfirst) + (dst_positive_data_constructedGfirst))) /\ (((((exists ff_h_pvs_data_constructedGfirstnegative. ff_h_pvs_data_constructedGfirstnegative + S (dst_negative_data_constructedGfirst) = S ((S (mp_a_data_constructedG)) * dst_negative_scale_data_constructedGfirst)) /\ exists ff_q_pvs_data_constructedGfirstnegative. dst_negative_code_data_constructedGfirst = ff_q_pvs_data_constructedGfirstnegative * S ((S (mp_a_data_constructedG)) * dst_negative_scale_data_constructedGfirst) + (dst_negative_data_constructedGfirst))) /\ (exists ge_balance_positive_data_constructedGfirstvalue ge_balance_negative_data_constructedGfirstvalue. (((((mp_x_data_constructedG) = 2 * (ge_balance_positive_data_constructedGfirstvalue) /\ (ge_balance_negative_data_constructedGfirstvalue) = 0) \/ exists ge_signed_half_data_constructedGfirstvaluedecode. (((mp_x_data_constructedG) = 2 * ge_signed_half_data_constructedGfirstvaluedecode + 1 /\ (ge_balance_positive_data_constructedGfirstvalue) = 0) /\ (ge_balance_negative_data_constructedGfirstvalue) = S ge_signed_half_data_constructedGfirstvaluedecode))) /\ ((dst_positive_data_constructedGfirst) + ge_balance_negative_data_constructedGfirstvalue = (dst_negative_data_constructedGfirst) + ge_balance_positive_data_constructedGfirstvalue))))))))) -> (exists dst_positive_code_data_constructedGsecond dst_positive_scale_data_constructedGsecond dst_negative_code_data_constructedGsecond dst_negative_scale_data_constructedGsecond dst_positive_data_constructedGsecond dst_negative_data_constructedGsecond. (((G) = (((((dst_positive_code_data_constructedGsecond) + (dst_positive_scale_data_constructedGsecond)) * S ((dst_positive_code_data_constructedGsecond) + (dst_positive_scale_data_constructedGsecond)) + ((dst_positive_scale_data_constructedGsecond) + (dst_positive_scale_data_constructedGsecond))) + (((dst_negative_code_data_constructedGsecond) + (dst_negative_scale_data_constructedGsecond)) * S ((dst_negative_code_data_constructedGsecond) + (dst_negative_scale_data_constructedGsecond)) + ((dst_negative_scale_data_constructedGsecond) + (dst_negative_scale_data_constructedGsecond)))) * S ((((dst_positive_code_data_constructedGsecond) + (dst_positive_scale_data_constructedGsecond)) * S ((dst_positive_code_data_constructedGsecond) + (dst_positive_scale_data_constructedGsecond)) + ((dst_positive_scale_data_constructedGsecond) + (dst_positive_scale_data_constructedGsecond))) + (((dst_negative_code_data_constructedGsecond) + (dst_negative_scale_data_constructedGsecond)) * S ((dst_negative_code_data_constructedGsecond) + (dst_negative_scale_data_constructedGsecond)) + ((dst_negative_scale_data_constructedGsecond) + (dst_negative_scale_data_constructedGsecond)))) + ((((dst_negative_code_data_constructedGsecond) + (dst_negative_scale_data_constructedGsecond)) * S ((dst_negative_code_data_constructedGsecond) + (dst_negative_scale_data_constructedGsecond)) + ((dst_negative_scale_data_constructedGsecond) + (dst_negative_scale_data_constructedGsecond))) + (((dst_negative_code_data_constructedGsecond) + (dst_negative_scale_data_constructedGsecond)) * S ((dst_negative_code_data_constructedGsecond) + (dst_negative_scale_data_constructedGsecond)) + ((dst_negative_scale_data_constructedGsecond) + (dst_negative_scale_data_constructedGsecond)))))) /\ (((((exists ff_h_pvs_data_constructedGsecondpositive. ff_h_pvs_data_constructedGsecondpositive + S (dst_positive_data_constructedGsecond) = S ((S (mp_b_data_constructedG)) * dst_positive_scale_data_constructedGsecond)) /\ exists ff_q_pvs_data_constructedGsecondpositive. dst_positive_code_data_constructedGsecond = ff_q_pvs_data_constructedGsecondpositive * S ((S (mp_b_data_constructedG)) * dst_positive_scale_data_constructedGsecond) + (dst_positive_data_constructedGsecond))) /\ (((((exists ff_h_pvs_data_constructedGsecondnegative. ff_h_pvs_data_constructedGsecondnegative + S (dst_negative_data_constructedGsecond) = S ((S (mp_b_data_constructedG)) * dst_negative_scale_data_constructedGsecond)) /\ exists ff_q_pvs_data_constructedGsecondnegative. dst_negative_code_data_constructedGsecond = ff_q_pvs_data_constructedGsecondnegative * S ((S (mp_b_data_constructedG)) * dst_negative_scale_data_constructedGsecond) + (dst_negative_data_constructedGsecond))) /\ (exists ge_balance_positive_data_constructedGsecondvalue ge_balance_negative_data_constructedGsecondvalue. (((((mp_y_data_constructedG) = 2 * (ge_balance_positive_data_constructedGsecondvalue) /\ (ge_balance_negative_data_constructedGsecondvalue) = 0) \/ exists ge_signed_half_data_constructedGsecondvaluedecode. (((mp_y_data_constructedG) = 2 * ge_signed_half_data_constructedGsecondvaluedecode + 1 /\ (ge_balance_positive_data_constructedGsecondvalue) = 0) /\ (ge_balance_negative_data_constructedGsecondvalue) = S ge_signed_half_data_constructedGsecondvaluedecode))) /\ ((dst_positive_data_constructedGsecond) + ge_balance_negative_data_constructedGsecondvalue = (dst_negative_data_constructedGsecond) + ge_balance_positive_data_constructedGsecondvalue))))))))) -> (exists dst_positive_code_data_constructedGproduct dst_positive_scale_data_constructedGproduct dst_negative_code_data_constructedGproduct dst_negative_scale_data_constructedGproduct dst_positive_data_constructedGproduct dst_negative_data_constructedGproduct. (((G) = (((((dst_positive_code_data_constructedGproduct) + (dst_positive_scale_data_constructedGproduct)) * S ((dst_positive_code_data_constructedGproduct) + (dst_positive_scale_data_constructedGproduct)) + ((dst_positive_scale_data_constructedGproduct) + (dst_positive_scale_data_constructedGproduct))) + (((dst_negative_code_data_constructedGproduct) + (dst_negative_scale_data_constructedGproduct)) * S ((dst_negative_code_data_constructedGproduct) + (dst_negative_scale_data_constructedGproduct)) + ((dst_negative_scale_data_constructedGproduct) + (dst_negative_scale_data_constructedGproduct)))) * S ((((dst_positive_code_data_constructedGproduct) + (dst_positive_scale_data_constructedGproduct)) * S ((dst_positive_code_data_constructedGproduct) + (dst_positive_scale_data_constructedGproduct)) + ((dst_positive_scale_data_constructedGproduct) + (dst_positive_scale_data_constructedGproduct))) + (((dst_negative_code_data_constructedGproduct) + (dst_negative_scale_data_constructedGproduct)) * S ((dst_negative_code_data_constructedGproduct) + (dst_negative_scale_data_constructedGproduct)) + ((dst_negative_scale_data_constructedGproduct) + (dst_negative_scale_data_constructedGproduct)))) + ((((dst_negative_code_data_constructedGproduct) + (dst_negative_scale_data_constructedGproduct)) * S ((dst_negative_code_data_constructedGproduct) + (dst_negative_scale_data_constructedGproduct)) + ((dst_negative_scale_data_constructedGproduct) + (dst_negative_scale_data_constructedGproduct))) + (((dst_negative_code_data_constructedGproduct) + (dst_negative_scale_data_constructedGproduct)) * S ((dst_negative_code_data_constructedGproduct) + (dst_negative_scale_data_constructedGproduct)) + ((dst_negative_scale_data_constructedGproduct) + (dst_negative_scale_data_constructedGproduct)))))) /\ (((((exists ff_h_pvs_data_constructedGproductpositive. ff_h_pvs_data_constructedGproductpositive + S (dst_positive_data_constructedGproduct) = S ((S (mp_a_data_constructedG*mp_b_data_constructedG)) * dst_positive_scale_data_constructedGproduct)) /\ exists ff_q_pvs_data_constructedGproductpositive. dst_positive_code_data_constructedGproduct = ff_q_pvs_data_constructedGproductpositive * S ((S (mp_a_data_constructedG*mp_b_data_constructedG)) * dst_positive_scale_data_constructedGproduct) + (dst_positive_data_constructedGproduct))) /\ (((((exists ff_h_pvs_data_constructedGproductnegative. ff_h_pvs_data_constructedGproductnegative + S (dst_negative_data_constructedGproduct) = S ((S (mp_a_data_constructedG*mp_b_data_constructedG)) * dst_negative_scale_data_constructedGproduct)) /\ exists ff_q_pvs_data_constructedGproductnegative. dst_negative_code_data_constructedGproduct = ff_q_pvs_data_constructedGproductnegative * S ((S (mp_a_data_constructedG*mp_b_data_constructedG)) * dst_negative_scale_data_constructedGproduct) + (dst_negative_data_constructedGproduct))) /\ (exists ge_balance_positive_data_constructedGproductvalue ge_balance_negative_data_constructedGproductvalue. (((((mp_z_data_constructedG) = 2 * (ge_balance_positive_data_constructedGproductvalue) /\ (ge_balance_negative_data_constructedGproductvalue) = 0) \/ exists ge_signed_half_data_constructedGproductvaluedecode. (((mp_z_data_constructedG) = 2 * ge_signed_half_data_constructedGproductvaluedecode + 1 /\ (ge_balance_positive_data_constructedGproductvalue) = 0) /\ (ge_balance_negative_data_constructedGproductvalue) = S ge_signed_half_data_constructedGproductvaluedecode))) /\ ((dst_positive_data_constructedGproduct) + ge_balance_negative_data_constructedGproductvalue = (dst_negative_data_constructedGproduct) + ge_balance_positive_data_constructedGproductvalue))))))))) -> (exists sto_ap_data_constructedGlaw sto_an_data_constructedGlaw sto_bp_data_constructedGlaw sto_bn_data_constructedGlaw sto_cp_data_constructedGlaw sto_cn_data_constructedGlaw. (((((mp_x_data_constructedG) = 2 * (sto_ap_data_constructedGlaw) /\ (sto_an_data_constructedGlaw) = 0) \/ exists ge_signed_half_data_constructedGlawleft. (((mp_x_data_constructedG) = 2 * ge_signed_half_data_constructedGlawleft + 1 /\ (sto_ap_data_constructedGlaw) = 0) /\ (sto_an_data_constructedGlaw) = S ge_signed_half_data_constructedGlawleft))) /\ ((((((mp_y_data_constructedG) = 2 * (sto_bp_data_constructedGlaw) /\ (sto_bn_data_constructedGlaw) = 0) \/ exists ge_signed_half_data_constructedGlawright. (((mp_y_data_constructedG) = 2 * ge_signed_half_data_constructedGlawright + 1 /\ (sto_bp_data_constructedGlaw) = 0) /\ (sto_bn_data_constructedGlaw) = S ge_signed_half_data_constructedGlawright))) /\ ((((((mp_z_data_constructedG) = 2 * (sto_cp_data_constructedGlaw) /\ (sto_cn_data_constructedGlaw) = 0) \/ exists ge_signed_half_data_constructedGlawoutput. (((mp_z_data_constructedG) = 2 * ge_signed_half_data_constructedGlawoutput + 1 /\ (sto_cp_data_constructedGlaw) = 0) /\ (sto_cn_data_constructedGlaw) = S ge_signed_half_data_constructedGlawoutput))) /\ ((sto_ap_data_constructedGlaw * sto_bp_data_constructedGlaw + sto_an_data_constructedGlaw * sto_bn_data_constructedGlaw) + sto_cn_data_constructedGlaw = (sto_ap_data_constructedGlaw * sto_bn_data_constructedGlaw + sto_an_data_constructedGlaw * sto_bp_data_constructedGlaw) + sto_cp_data_constructedGlaw)))))))))))))) /\ (((~((m)=0)) /\ (((~((n)=0)) /\ (((exists pvs_le_gap_data_constructedbound. pvs_le_gap_data_constructedbound + ((m)*(n)) = (N)) /\ (((forall sfd_common_divisor_data_constructedcoprime. (exists pvs_factor_data_constructedcoprimeleft. (m) = (sfd_common_divisor_data_constructedcoprime) * pvs_factor_data_constructedcoprimeleft) -> (exists pvs_factor_data_constructedcoprimeright. (n) = (sfd_common_divisor_data_constructedcoprime) * pvs_factor_data_constructedcoprimeright) -> sfd_common_divisor_data_constructedcoprime = 1) /\ (((((exists dst_positive_code_data_constructedlefttable dst_positive_scale_data_constructedlefttable dst_negative_code_data_constructedlefttable dst_negative_scale_data_constructedlefttable. (((A) = (((((dst_positive_code_data_constructedlefttable) + (dst_positive_scale_data_constructedlefttable)) * S ((dst_positive_code_data_constructedlefttable) + (dst_positive_scale_data_constructedlefttable)) + ((dst_positive_scale_data_constructedlefttable) + (dst_positive_scale_data_constructedlefttable))) + (((dst_negative_code_data_constructedlefttable) + (dst_negative_scale_data_constructedlefttable)) * S ((dst_negative_code_data_constructedlefttable) + (dst_negative_scale_data_constructedlefttable)) + ((dst_negative_scale_data_constructedlefttable) + (dst_negative_scale_data_constructedlefttable)))) * S ((((dst_positive_code_data_constructedlefttable) + (dst_positive_scale_data_constructedlefttable)) * S ((dst_positive_code_data_constructedlefttable) + (dst_positive_scale_data_constructedlefttable)) + ((dst_positive_scale_data_constructedlefttable) + (dst_positive_scale_data_constructedlefttable))) + (((dst_negative_code_data_constructedlefttable) + (dst_negative_scale_data_constructedlefttable)) * S ((dst_negative_code_data_constructedlefttable) + (dst_negative_scale_data_constructedlefttable)) + ((dst_negative_scale_data_constructedlefttable) + (dst_negative_scale_data_constructedlefttable)))) + ((((dst_negative_code_data_constructedlefttable) + (dst_negative_scale_data_constructedlefttable)) * S ((dst_negative_code_data_constructedlefttable) + (dst_negative_scale_data_constructedlefttable)) + ((dst_negative_scale_data_constructedlefttable) + (dst_negative_scale_data_constructedlefttable))) + (((dst_negative_code_data_constructedlefttable) + (dst_negative_scale_data_constructedlefttable)) * S ((dst_negative_code_data_constructedlefttable) + (dst_negative_scale_data_constructedlefttable)) + ((dst_negative_scale_data_constructedlefttable) + (dst_negative_scale_data_constructedlefttable)))))) /\ (forall dst_index_data_constructedlefttable. (exists pvs_le_gap_data_constructedlefttabledomain. pvs_le_gap_data_constructedlefttabledomain + (dst_index_data_constructedlefttable) = (m)) -> exists dst_positive_data_constructedlefttable dst_negative_data_constructedlefttable dst_value_data_constructedlefttable. ((((exists ff_h_pvs_data_constructedlefttableentrypositive. ff_h_pvs_data_constructedlefttableentrypositive + S (dst_positive_data_constructedlefttable) = S ((S (dst_index_data_constructedlefttable)) * dst_positive_scale_data_constructedlefttable)) /\ exists ff_q_pvs_data_constructedlefttableentrypositive. dst_positive_code_data_constructedlefttable = ff_q_pvs_data_constructedlefttableentrypositive * S ((S (dst_index_data_constructedlefttable)) * dst_positive_scale_data_constructedlefttable) + (dst_positive_data_constructedlefttable))) /\ (((((exists ff_h_pvs_data_constructedlefttableentrynegative. ff_h_pvs_data_constructedlefttableentrynegative + S (dst_negative_data_constructedlefttable) = S ((S (dst_index_data_constructedlefttable)) * dst_negative_scale_data_constructedlefttable)) /\ exists ff_q_pvs_data_constructedlefttableentrynegative. dst_negative_code_data_constructedlefttable = ff_q_pvs_data_constructedlefttableentrynegative * S ((S (dst_index_data_constructedlefttable)) * dst_negative_scale_data_constructedlefttable) + (dst_negative_data_constructedlefttable))) /\ (exists ge_balance_positive_data_constructedlefttableentryvalue ge_balance_negative_data_constructedlefttableentryvalue. (((((dst_value_data_constructedlefttable) = 2 * (ge_balance_positive_data_constructedlefttableentryvalue) /\ (ge_balance_negative_data_constructedlefttableentryvalue) = 0) \/ exists ge_signed_half_data_constructedlefttableentryvaluedecode. (((dst_value_data_constructedlefttable) = 2 * ge_signed_half_data_constructedlefttableentryvaluedecode + 1 /\ (ge_balance_positive_data_constructedlefttableentryvalue) = 0) /\ (ge_balance_negative_data_constructedlefttableentryvalue) = S ge_signed_half_data_constructedlefttableentryvaluedecode))) /\ ((dst_positive_data_constructedlefttable) + ge_balance_negative_data_constructedlefttableentryvalue = (dst_negative_data_constructedlefttable) + ge_balance_positive_data_constructedlefttableentryvalue))))))))) /\ (forall dc_index_data_constructedleft dc_value_data_constructedleft. (exists pvs_le_gap_data_constructedleftdomain. pvs_le_gap_data_constructedleftdomain + (dc_index_data_constructedleft) = (m)) -> (exists dst_positive_code_data_constructedleftlookup dst_positive_scale_data_constructedleftlookup dst_negative_code_data_constructedleftlookup dst_negative_scale_data_constructedleftlookup dst_positive_data_constructedleftlookup dst_negative_data_constructedleftlookup. (((A) = (((((dst_positive_code_data_constructedleftlookup) + (dst_positive_scale_data_constructedleftlookup)) * S ((dst_positive_code_data_constructedleftlookup) + (dst_positive_scale_data_constructedleftlookup)) + ((dst_positive_scale_data_constructedleftlookup) + (dst_positive_scale_data_constructedleftlookup))) + (((dst_negative_code_data_constructedleftlookup) + (dst_negative_scale_data_constructedleftlookup)) * S ((dst_negative_code_data_constructedleftlookup) + (dst_negative_scale_data_constructedleftlookup)) + ((dst_negative_scale_data_constructedleftlookup) + (dst_negative_scale_data_constructedleftlookup)))) * S ((((dst_positive_code_data_constructedleftlookup) + (dst_positive_scale_data_constructedleftlookup)) * S ((dst_positive_code_data_constructedleftlookup) + (dst_positive_scale_data_constructedleftlookup)) + ((dst_positive_scale_data_constructedleftlookup) + (dst_positive_scale_data_constructedleftlookup))) + (((dst_negative_code_data_constructedleftlookup) + (dst_negative_scale_data_constructedleftlookup)) * S ((dst_negative_code_data_constructedleftlookup) + (dst_negative_scale_data_constructedleftlookup)) + ((dst_negative_scale_data_constructedleftlookup) + (dst_negative_scale_data_constructedleftlookup)))) + ((((dst_negative_code_data_constructedleftlookup) + (dst_negative_scale_data_constructedleftlookup)) * S ((dst_negative_code_data_constructedleftlookup) + (dst_negative_scale_data_constructedleftlookup)) + ((dst_negative_scale_data_constructedleftlookup) + (dst_negative_scale_data_constructedleftlookup))) + (((dst_negative_code_data_constructedleftlookup) + (dst_negative_scale_data_constructedleftlookup)) * S ((dst_negative_code_data_constructedleftlookup) + (dst_negative_scale_data_constructedleftlookup)) + ((dst_negative_scale_data_constructedleftlookup) + (dst_negative_scale_data_constructedleftlookup)))))) /\ (((((exists ff_h_pvs_data_constructedleftlookuppositive. ff_h_pvs_data_constructedleftlookuppositive + S (dst_positive_data_constructedleftlookup) = S ((S (dc_index_data_constructedleft)) * dst_positive_scale_data_constructedleftlookup)) /\ exists ff_q_pvs_data_constructedleftlookuppositive. dst_positive_code_data_constructedleftlookup = ff_q_pvs_data_constructedleftlookuppositive * S ((S (dc_index_data_constructedleft)) * dst_positive_scale_data_constructedleftlookup) + (dst_positive_data_constructedleftlookup))) /\ (((((exists ff_h_pvs_data_constructedleftlookupnegative. ff_h_pvs_data_constructedleftlookupnegative + S (dst_negative_data_constructedleftlookup) = S ((S (dc_index_data_constructedleft)) * dst_negative_scale_data_constructedleftlookup)) /\ exists ff_q_pvs_data_constructedleftlookupnegative. dst_negative_code_data_constructedleftlookup = ff_q_pvs_data_constructedleftlookupnegative * S ((S (dc_index_data_constructedleft)) * dst_negative_scale_data_constructedleftlookup) + (dst_negative_data_constructedleftlookup))) /\ (exists ge_balance_positive_data_constructedleftlookupvalue ge_balance_negative_data_constructedleftlookupvalue. (((((dc_value_data_constructedleft) = 2 * (ge_balance_positive_data_constructedleftlookupvalue) /\ (ge_balance_negative_data_constructedleftlookupvalue) = 0) \/ exists ge_signed_half_data_constructedleftlookupvaluedecode. (((dc_value_data_constructedleft) = 2 * ge_signed_half_data_constructedleftlookupvaluedecode + 1 /\ (ge_balance_positive_data_constructedleftlookupvalue) = 0) /\ (ge_balance_negative_data_constructedleftlookupvalue) = S ge_signed_half_data_constructedleftlookupvaluedecode))) /\ ((dst_positive_data_constructedleftlookup) + ge_balance_negative_data_constructedleftlookupvalue = (dst_negative_data_constructedleftlookup) + ge_balance_positive_data_constructedleftlookupvalue))))))))) -> ((((~((dc_index_data_constructedleft)=0)) /\ (exists dc_quotient_data_constructedleftentry dc_left_data_constructedleftentry dc_right_data_constructedleftentry. (((m)=(dc_index_data_constructedleft)*dc_quotient_data_constructedleftentry) /\ (((exists dst_positive_code_data_constructedleftentryleft dst_positive_scale_data_constructedleftentryleft dst_negative_code_data_constructedleftentryleft dst_negative_scale_data_constructedleftentryleft dst_positive_data_constructedleftentryleft dst_negative_data_constructedleftentryleft. (((F) = (((((dst_positive_code_data_constructedleftentryleft) + (dst_positive_scale_data_constructedleftentryleft)) * S ((dst_positive_code_data_constructedleftentryleft) + (dst_positive_scale_data_constructedleftentryleft)) + ((dst_positive_scale_data_constructedleftentryleft) + (dst_positive_scale_data_constructedleftentryleft))) + (((dst_negative_code_data_constructedleftentryleft) + (dst_negative_scale_data_constructedleftentryleft)) * S ((dst_negative_code_data_constructedleftentryleft) + (dst_negative_scale_data_constructedleftentryleft)) + ((dst_negative_scale_data_constructedleftentryleft) + (dst_negative_scale_data_constructedleftentryleft)))) * S ((((dst_positive_code_data_constructedleftentryleft) + (dst_positive_scale_data_constructedleftentryleft)) * S ((dst_positive_code_data_constructedleftentryleft) + (dst_positive_scale_data_constructedleftentryleft)) + ((dst_positive_scale_data_constructedleftentryleft) + (dst_positive_scale_data_constructedleftentryleft))) + (((dst_negative_code_data_constructedleftentryleft) + (dst_negative_scale_data_constructedleftentryleft)) * S ((dst_negative_code_data_constructedleftentryleft) + (dst_negative_scale_data_constructedleftentryleft)) + ((dst_negative_scale_data_constructedleftentryleft) + (dst_negative_scale_data_constructedleftentryleft)))) + ((((dst_negative_code_data_constructedleftentryleft) + (dst_negative_scale_data_constructedleftentryleft)) * S ((dst_negative_code_data_constructedleftentryleft) + (dst_negative_scale_data_constructedleftentryleft)) + ((dst_negative_scale_data_constructedleftentryleft) + (dst_negative_scale_data_constructedleftentryleft))) + (((dst_negative_code_data_constructedleftentryleft) + (dst_negative_scale_data_constructedleftentryleft)) * S ((dst_negative_code_data_constructedleftentryleft) + (dst_negative_scale_data_constructedleftentryleft)) + ((dst_negative_scale_data_constructedleftentryleft) + (dst_negative_scale_data_constructedleftentryleft)))))) /\ (((((exists ff_h_pvs_data_constructedleftentryleftpositive. ff_h_pvs_data_constructedleftentryleftpositive + S (dst_positive_data_constructedleftentryleft) = S ((S (dc_index_data_constructedleft)) * dst_positive_scale_data_constructedleftentryleft)) /\ exists ff_q_pvs_data_constructedleftentryleftpositive. dst_positive_code_data_constructedleftentryleft = ff_q_pvs_data_constructedleftentryleftpositive * S ((S (dc_index_data_constructedleft)) * dst_positive_scale_data_constructedleftentryleft) + (dst_positive_data_constructedleftentryleft))) /\ (((((exists ff_h_pvs_data_constructedleftentryleftnegative. ff_h_pvs_data_constructedleftentryleftnegative + S (dst_negative_data_constructedleftentryleft) = S ((S (dc_index_data_constructedleft)) * dst_negative_scale_data_constructedleftentryleft)) /\ exists ff_q_pvs_data_constructedleftentryleftnegative. dst_negative_code_data_constructedleftentryleft = ff_q_pvs_data_constructedleftentryleftnegative * S ((S (dc_index_data_constructedleft)) * dst_negative_scale_data_constructedleftentryleft) + (dst_negative_data_constructedleftentryleft))) /\ (exists ge_balance_positive_data_constructedleftentryleftvalue ge_balance_negative_data_constructedleftentryleftvalue. (((((dc_left_data_constructedleftentry) = 2 * (ge_balance_positive_data_constructedleftentryleftvalue) /\ (ge_balance_negative_data_constructedleftentryleftvalue) = 0) \/ exists ge_signed_half_data_constructedleftentryleftvaluedecode. (((dc_left_data_constructedleftentry) = 2 * ge_signed_half_data_constructedleftentryleftvaluedecode + 1 /\ (ge_balance_positive_data_constructedleftentryleftvalue) = 0) /\ (ge_balance_negative_data_constructedleftentryleftvalue) = S ge_signed_half_data_constructedleftentryleftvaluedecode))) /\ ((dst_positive_data_constructedleftentryleft) + ge_balance_negative_data_constructedleftentryleftvalue = (dst_negative_data_constructedleftentryleft) + ge_balance_positive_data_constructedleftentryleftvalue))))))))) /\ (((exists dst_positive_code_data_constructedleftentryright dst_positive_scale_data_constructedleftentryright dst_negative_code_data_constructedleftentryright dst_negative_scale_data_constructedleftentryright dst_positive_data_constructedleftentryright dst_negative_data_constructedleftentryright. (((G) = (((((dst_positive_code_data_constructedleftentryright) + (dst_positive_scale_data_constructedleftentryright)) * S ((dst_positive_code_data_constructedleftentryright) + (dst_positive_scale_data_constructedleftentryright)) + ((dst_positive_scale_data_constructedleftentryright) + (dst_positive_scale_data_constructedleftentryright))) + (((dst_negative_code_data_constructedleftentryright) + (dst_negative_scale_data_constructedleftentryright)) * S ((dst_negative_code_data_constructedleftentryright) + (dst_negative_scale_data_constructedleftentryright)) + ((dst_negative_scale_data_constructedleftentryright) + (dst_negative_scale_data_constructedleftentryright)))) * S ((((dst_positive_code_data_constructedleftentryright) + (dst_positive_scale_data_constructedleftentryright)) * S ((dst_positive_code_data_constructedleftentryright) + (dst_positive_scale_data_constructedleftentryright)) + ((dst_positive_scale_data_constructedleftentryright) + (dst_positive_scale_data_constructedleftentryright))) + (((dst_negative_code_data_constructedleftentryright) + (dst_negative_scale_data_constructedleftentryright)) * S ((dst_negative_code_data_constructedleftentryright) + (dst_negative_scale_data_constructedleftentryright)) + ((dst_negative_scale_data_constructedleftentryright) + (dst_negative_scale_data_constructedleftentryright)))) + ((((dst_negative_code_data_constructedleftentryright) + (dst_negative_scale_data_constructedleftentryright)) * S ((dst_negative_code_data_constructedleftentryright) + (dst_negative_scale_data_constructedleftentryright)) + ((dst_negative_scale_data_constructedleftentryright) + (dst_negative_scale_data_constructedleftentryright))) + (((dst_negative_code_data_constructedleftentryright) + (dst_negative_scale_data_constructedleftentryright)) * S ((dst_negative_code_data_constructedleftentryright) + (dst_negative_scale_data_constructedleftentryright)) + ((dst_negative_scale_data_constructedleftentryright) + (dst_negative_scale_data_constructedleftentryright)))))) /\ (((((exists ff_h_pvs_data_constructedleftentryrightpositive. ff_h_pvs_data_constructedleftentryrightpositive + S (dst_positive_data_constructedleftentryright) = S ((S (dc_quotient_data_constructedleftentry)) * dst_positive_scale_data_constructedleftentryright)) /\ exists ff_q_pvs_data_constructedleftentryrightpositive. dst_positive_code_data_constructedleftentryright = ff_q_pvs_data_constructedleftentryrightpositive * S ((S (dc_quotient_data_constructedleftentry)) * dst_positive_scale_data_constructedleftentryright) + (dst_positive_data_constructedleftentryright))) /\ (((((exists ff_h_pvs_data_constructedleftentryrightnegative. ff_h_pvs_data_constructedleftentryrightnegative + S (dst_negative_data_constructedleftentryright) = S ((S (dc_quotient_data_constructedleftentry)) * dst_negative_scale_data_constructedleftentryright)) /\ exists ff_q_pvs_data_constructedleftentryrightnegative. dst_negative_code_data_constructedleftentryright = ff_q_pvs_data_constructedleftentryrightnegative * S ((S (dc_quotient_data_constructedleftentry)) * dst_negative_scale_data_constructedleftentryright) + (dst_negative_data_constructedleftentryright))) /\ (exists ge_balance_positive_data_constructedleftentryrightvalue ge_balance_negative_data_constructedleftentryrightvalue. (((((dc_right_data_constructedleftentry) = 2 * (ge_balance_positive_data_constructedleftentryrightvalue) /\ (ge_balance_negative_data_constructedleftentryrightvalue) = 0) \/ exists ge_signed_half_data_constructedleftentryrightvaluedecode. (((dc_right_data_constructedleftentry) = 2 * ge_signed_half_data_constructedleftentryrightvaluedecode + 1 /\ (ge_balance_positive_data_constructedleftentryrightvalue) = 0) /\ (ge_balance_negative_data_constructedleftentryrightvalue) = S ge_signed_half_data_constructedleftentryrightvaluedecode))) /\ ((dst_positive_data_constructedleftentryright) + ge_balance_negative_data_constructedleftentryrightvalue = (dst_negative_data_constructedleftentryright) + ge_balance_positive_data_constructedleftentryrightvalue))))))))) /\ (exists sto_ap_data_constructedleftentryproduct sto_an_data_constructedleftentryproduct sto_bp_data_constructedleftentryproduct sto_bn_data_constructedleftentryproduct sto_cp_data_constructedleftentryproduct sto_cn_data_constructedleftentryproduct. (((((dc_left_data_constructedleftentry) = 2 * (sto_ap_data_constructedleftentryproduct) /\ (sto_an_data_constructedleftentryproduct) = 0) \/ exists ge_signed_half_data_constructedleftentryproductleft. (((dc_left_data_constructedleftentry) = 2 * ge_signed_half_data_constructedleftentryproductleft + 1 /\ (sto_ap_data_constructedleftentryproduct) = 0) /\ (sto_an_data_constructedleftentryproduct) = S ge_signed_half_data_constructedleftentryproductleft))) /\ ((((((dc_right_data_constructedleftentry) = 2 * (sto_bp_data_constructedleftentryproduct) /\ (sto_bn_data_constructedleftentryproduct) = 0) \/ exists ge_signed_half_data_constructedleftentryproductright. (((dc_right_data_constructedleftentry) = 2 * ge_signed_half_data_constructedleftentryproductright + 1 /\ (sto_bp_data_constructedleftentryproduct) = 0) /\ (sto_bn_data_constructedleftentryproduct) = S ge_signed_half_data_constructedleftentryproductright))) /\ ((((((dc_value_data_constructedleft) = 2 * (sto_cp_data_constructedleftentryproduct) /\ (sto_cn_data_constructedleftentryproduct) = 0) \/ exists ge_signed_half_data_constructedleftentryproductoutput. (((dc_value_data_constructedleft) = 2 * ge_signed_half_data_constructedleftentryproductoutput + 1 /\ (sto_cp_data_constructedleftentryproduct) = 0) /\ (sto_cn_data_constructedleftentryproduct) = S ge_signed_half_data_constructedleftentryproductoutput))) /\ ((sto_ap_data_constructedleftentryproduct * sto_bp_data_constructedleftentryproduct + sto_an_data_constructedleftentryproduct * sto_bn_data_constructedleftentryproduct) + sto_cn_data_constructedleftentryproduct = (sto_ap_data_constructedleftentryproduct * sto_bn_data_constructedleftentryproduct + sto_an_data_constructedleftentryproduct * sto_bp_data_constructedleftentryproduct) + sto_cp_data_constructedleftentryproduct))))))))))))))) \/ ((((dc_index_data_constructedleft)=0 \/ ~(exists pvs_factor_data_constructedleftentrynondivisor. (m) = (dc_index_data_constructedleft) * pvs_factor_data_constructedleftentrynondivisor)) /\ ((dc_value_data_constructedleft)=0))))))) /\ (((((exists dst_positive_code_data_constructedrighttable dst_positive_scale_data_constructedrighttable dst_negative_code_data_constructedrighttable dst_negative_scale_data_constructedrighttable. (((B) = (((((dst_positive_code_data_constructedrighttable) + (dst_positive_scale_data_constructedrighttable)) * S ((dst_positive_code_data_constructedrighttable) + (dst_positive_scale_data_constructedrighttable)) + ((dst_positive_scale_data_constructedrighttable) + (dst_positive_scale_data_constructedrighttable))) + (((dst_negative_code_data_constructedrighttable) + (dst_negative_scale_data_constructedrighttable)) * S ((dst_negative_code_data_constructedrighttable) + (dst_negative_scale_data_constructedrighttable)) + ((dst_negative_scale_data_constructedrighttable) + (dst_negative_scale_data_constructedrighttable)))) * S ((((dst_positive_code_data_constructedrighttable) + (dst_positive_scale_data_constructedrighttable)) * S ((dst_positive_code_data_constructedrighttable) + (dst_positive_scale_data_constructedrighttable)) + ((dst_positive_scale_data_constructedrighttable) + (dst_positive_scale_data_constructedrighttable))) + (((dst_negative_code_data_constructedrighttable) + (dst_negative_scale_data_constructedrighttable)) * S ((dst_negative_code_data_constructedrighttable) + (dst_negative_scale_data_constructedrighttable)) + ((dst_negative_scale_data_constructedrighttable) + (dst_negative_scale_data_constructedrighttable)))) + ((((dst_negative_code_data_constructedrighttable) + (dst_negative_scale_data_constructedrighttable)) * S ((dst_negative_code_data_constructedrighttable) + (dst_negative_scale_data_constructedrighttable)) + ((dst_negative_scale_data_constructedrighttable) + (dst_negative_scale_data_constructedrighttable))) + (((dst_negative_code_data_constructedrighttable) + (dst_negative_scale_data_constructedrighttable)) * S ((dst_negative_code_data_constructedrighttable) + (dst_negative_scale_data_constructedrighttable)) + ((dst_negative_scale_data_constructedrighttable) + (dst_negative_scale_data_constructedrighttable)))))) /\ (forall dst_index_data_constructedrighttable. (exists pvs_le_gap_data_constructedrighttabledomain. pvs_le_gap_data_constructedrighttabledomain + (dst_index_data_constructedrighttable) = (n)) -> exists dst_positive_data_constructedrighttable dst_negative_data_constructedrighttable dst_value_data_constructedrighttable. ((((exists ff_h_pvs_data_constructedrighttableentrypositive. ff_h_pvs_data_constructedrighttableentrypositive + S (dst_positive_data_constructedrighttable) = S ((S (dst_index_data_constructedrighttable)) * dst_positive_scale_data_constructedrighttable)) /\ exists ff_q_pvs_data_constructedrighttableentrypositive. dst_positive_code_data_constructedrighttable = ff_q_pvs_data_constructedrighttableentrypositive * S ((S (dst_index_data_constructedrighttable)) * dst_positive_scale_data_constructedrighttable) + (dst_positive_data_constructedrighttable))) /\ (((((exists ff_h_pvs_data_constructedrighttableentrynegative. ff_h_pvs_data_constructedrighttableentrynegative + S (dst_negative_data_constructedrighttable) = S ((S (dst_index_data_constructedrighttable)) * dst_negative_scale_data_constructedrighttable)) /\ exists ff_q_pvs_data_constructedrighttableentrynegative. dst_negative_code_data_constructedrighttable = ff_q_pvs_data_constructedrighttableentrynegative * S ((S (dst_index_data_constructedrighttable)) * dst_negative_scale_data_constructedrighttable) + (dst_negative_data_constructedrighttable))) /\ (exists ge_balance_positive_data_constructedrighttableentryvalue ge_balance_negative_data_constructedrighttableentryvalue. (((((dst_value_data_constructedrighttable) = 2 * (ge_balance_positive_data_constructedrighttableentryvalue) /\ (ge_balance_negative_data_constructedrighttableentryvalue) = 0) \/ exists ge_signed_half_data_constructedrighttableentryvaluedecode. (((dst_value_data_constructedrighttable) = 2 * ge_signed_half_data_constructedrighttableentryvaluedecode + 1 /\ (ge_balance_positive_data_constructedrighttableentryvalue) = 0) /\ (ge_balance_negative_data_constructedrighttableentryvalue) = S ge_signed_half_data_constructedrighttableentryvaluedecode))) /\ ((dst_positive_data_constructedrighttable) + ge_balance_negative_data_constructedrighttableentryvalue = (dst_negative_data_constructedrighttable) + ge_balance_positive_data_constructedrighttableentryvalue))))))))) /\ (forall dc_index_data_constructedright dc_value_data_constructedright. (exists pvs_le_gap_data_constructedrightdomain. pvs_le_gap_data_constructedrightdomain + (dc_index_data_constructedright) = (n)) -> (exists dst_positive_code_data_constructedrightlookup dst_positive_scale_data_constructedrightlookup dst_negative_code_data_constructedrightlookup dst_negative_scale_data_constructedrightlookup dst_positive_data_constructedrightlookup dst_negative_data_constructedrightlookup. (((B) = (((((dst_positive_code_data_constructedrightlookup) + (dst_positive_scale_data_constructedrightlookup)) * S ((dst_positive_code_data_constructedrightlookup) + (dst_positive_scale_data_constructedrightlookup)) + ((dst_positive_scale_data_constructedrightlookup) + (dst_positive_scale_data_constructedrightlookup))) + (((dst_negative_code_data_constructedrightlookup) + (dst_negative_scale_data_constructedrightlookup)) * S ((dst_negative_code_data_constructedrightlookup) + (dst_negative_scale_data_constructedrightlookup)) + ((dst_negative_scale_data_constructedrightlookup) + (dst_negative_scale_data_constructedrightlookup)))) * S ((((dst_positive_code_data_constructedrightlookup) + (dst_positive_scale_data_constructedrightlookup)) * S ((dst_positive_code_data_constructedrightlookup) + (dst_positive_scale_data_constructedrightlookup)) + ((dst_positive_scale_data_constructedrightlookup) + (dst_positive_scale_data_constructedrightlookup))) + (((dst_negative_code_data_constructedrightlookup) + (dst_negative_scale_data_constructedrightlookup)) * S ((dst_negative_code_data_constructedrightlookup) + (dst_negative_scale_data_constructedrightlookup)) + ((dst_negative_scale_data_constructedrightlookup) + (dst_negative_scale_data_constructedrightlookup)))) + ((((dst_negative_code_data_constructedrightlookup) + (dst_negative_scale_data_constructedrightlookup)) * S ((dst_negative_code_data_constructedrightlookup) + (dst_negative_scale_data_constructedrightlookup)) + ((dst_negative_scale_data_constructedrightlookup) + (dst_negative_scale_data_constructedrightlookup))) + (((dst_negative_code_data_constructedrightlookup) + (dst_negative_scale_data_constructedrightlookup)) * S ((dst_negative_code_data_constructedrightlookup) + (dst_negative_scale_data_constructedrightlookup)) + ((dst_negative_scale_data_constructedrightlookup) + (dst_negative_scale_data_constructedrightlookup)))))) /\ (((((exists ff_h_pvs_data_constructedrightlookuppositive. ff_h_pvs_data_constructedrightlookuppositive + S (dst_positive_data_constructedrightlookup) = S ((S (dc_index_data_constructedright)) * dst_positive_scale_data_constructedrightlookup)) /\ exists ff_q_pvs_data_constructedrightlookuppositive. dst_positive_code_data_constructedrightlookup = ff_q_pvs_data_constructedrightlookuppositive * S ((S (dc_index_data_constructedright)) * dst_positive_scale_data_constructedrightlookup) + (dst_positive_data_constructedrightlookup))) /\ (((((exists ff_h_pvs_data_constructedrightlookupnegative. ff_h_pvs_data_constructedrightlookupnegative + S (dst_negative_data_constructedrightlookup) = S ((S (dc_index_data_constructedright)) * dst_negative_scale_data_constructedrightlookup)) /\ exists ff_q_pvs_data_constructedrightlookupnegative. dst_negative_code_data_constructedrightlookup = ff_q_pvs_data_constructedrightlookupnegative * S ((S (dc_index_data_constructedright)) * dst_negative_scale_data_constructedrightlookup) + (dst_negative_data_constructedrightlookup))) /\ (exists ge_balance_positive_data_constructedrightlookupvalue ge_balance_negative_data_constructedrightlookupvalue. (((((dc_value_data_constructedright) = 2 * (ge_balance_positive_data_constructedrightlookupvalue) /\ (ge_balance_negative_data_constructedrightlookupvalue) = 0) \/ exists ge_signed_half_data_constructedrightlookupvaluedecode. (((dc_value_data_constructedright) = 2 * ge_signed_half_data_constructedrightlookupvaluedecode + 1 /\ (ge_balance_positive_data_constructedrightlookupvalue) = 0) /\ (ge_balance_negative_data_constructedrightlookupvalue) = S ge_signed_half_data_constructedrightlookupvaluedecode))) /\ ((dst_positive_data_constructedrightlookup) + ge_balance_negative_data_constructedrightlookupvalue = (dst_negative_data_constructedrightlookup) + ge_balance_positive_data_constructedrightlookupvalue))))))))) -> ((((~((dc_index_data_constructedright)=0)) /\ (exists dc_quotient_data_constructedrightentry dc_left_data_constructedrightentry dc_right_data_constructedrightentry. (((n)=(dc_index_data_constructedright)*dc_quotient_data_constructedrightentry) /\ (((exists dst_positive_code_data_constructedrightentryleft dst_positive_scale_data_constructedrightentryleft dst_negative_code_data_constructedrightentryleft dst_negative_scale_data_constructedrightentryleft dst_positive_data_constructedrightentryleft dst_negative_data_constructedrightentryleft. (((F) = (((((dst_positive_code_data_constructedrightentryleft) + (dst_positive_scale_data_constructedrightentryleft)) * S ((dst_positive_code_data_constructedrightentryleft) + (dst_positive_scale_data_constructedrightentryleft)) + ((dst_positive_scale_data_constructedrightentryleft) + (dst_positive_scale_data_constructedrightentryleft))) + (((dst_negative_code_data_constructedrightentryleft) + (dst_negative_scale_data_constructedrightentryleft)) * S ((dst_negative_code_data_constructedrightentryleft) + (dst_negative_scale_data_constructedrightentryleft)) + ((dst_negative_scale_data_constructedrightentryleft) + (dst_negative_scale_data_constructedrightentryleft)))) * S ((((dst_positive_code_data_constructedrightentryleft) + (dst_positive_scale_data_constructedrightentryleft)) * S ((dst_positive_code_data_constructedrightentryleft) + (dst_positive_scale_data_constructedrightentryleft)) + ((dst_positive_scale_data_constructedrightentryleft) + (dst_positive_scale_data_constructedrightentryleft))) + (((dst_negative_code_data_constructedrightentryleft) + (dst_negative_scale_data_constructedrightentryleft)) * S ((dst_negative_code_data_constructedrightentryleft) + (dst_negative_scale_data_constructedrightentryleft)) + ((dst_negative_scale_data_constructedrightentryleft) + (dst_negative_scale_data_constructedrightentryleft)))) + ((((dst_negative_code_data_constructedrightentryleft) + (dst_negative_scale_data_constructedrightentryleft)) * S ((dst_negative_code_data_constructedrightentryleft) + (dst_negative_scale_data_constructedrightentryleft)) + ((dst_negative_scale_data_constructedrightentryleft) + (dst_negative_scale_data_constructedrightentryleft))) + (((dst_negative_code_data_constructedrightentryleft) + (dst_negative_scale_data_constructedrightentryleft)) * S ((dst_negative_code_data_constructedrightentryleft) + (dst_negative_scale_data_constructedrightentryleft)) + ((dst_negative_scale_data_constructedrightentryleft) + (dst_negative_scale_data_constructedrightentryleft)))))) /\ (((((exists ff_h_pvs_data_constructedrightentryleftpositive. ff_h_pvs_data_constructedrightentryleftpositive + S (dst_positive_data_constructedrightentryleft) = S ((S (dc_index_data_constructedright)) * dst_positive_scale_data_constructedrightentryleft)) /\ exists ff_q_pvs_data_constructedrightentryleftpositive. dst_positive_code_data_constructedrightentryleft = ff_q_pvs_data_constructedrightentryleftpositive * S ((S (dc_index_data_constructedright)) * dst_positive_scale_data_constructedrightentryleft) + (dst_positive_data_constructedrightentryleft))) /\ (((((exists ff_h_pvs_data_constructedrightentryleftnegative. ff_h_pvs_data_constructedrightentryleftnegative + S (dst_negative_data_constructedrightentryleft) = S ((S (dc_index_data_constructedright)) * dst_negative_scale_data_constructedrightentryleft)) /\ exists ff_q_pvs_data_constructedrightentryleftnegative. dst_negative_code_data_constructedrightentryleft = ff_q_pvs_data_constructedrightentryleftnegative * S ((S (dc_index_data_constructedright)) * dst_negative_scale_data_constructedrightentryleft) + (dst_negative_data_constructedrightentryleft))) /\ (exists ge_balance_positive_data_constructedrightentryleftvalue ge_balance_negative_data_constructedrightentryleftvalue. (((((dc_left_data_constructedrightentry) = 2 * (ge_balance_positive_data_constructedrightentryleftvalue) /\ (ge_balance_negative_data_constructedrightentryleftvalue) = 0) \/ exists ge_signed_half_data_constructedrightentryleftvaluedecode. (((dc_left_data_constructedrightentry) = 2 * ge_signed_half_data_constructedrightentryleftvaluedecode + 1 /\ (ge_balance_positive_data_constructedrightentryleftvalue) = 0) /\ (ge_balance_negative_data_constructedrightentryleftvalue) = S ge_signed_half_data_constructedrightentryleftvaluedecode))) /\ ((dst_positive_data_constructedrightentryleft) + ge_balance_negative_data_constructedrightentryleftvalue = (dst_negative_data_constructedrightentryleft) + ge_balance_positive_data_constructedrightentryleftvalue))))))))) /\ (((exists dst_positive_code_data_constructedrightentryright dst_positive_scale_data_constructedrightentryright dst_negative_code_data_constructedrightentryright dst_negative_scale_data_constructedrightentryright dst_positive_data_constructedrightentryright dst_negative_data_constructedrightentryright. (((G) = (((((dst_positive_code_data_constructedrightentryright) + (dst_positive_scale_data_constructedrightentryright)) * S ((dst_positive_code_data_constructedrightentryright) + (dst_positive_scale_data_constructedrightentryright)) + ((dst_positive_scale_data_constructedrightentryright) + (dst_positive_scale_data_constructedrightentryright))) + (((dst_negative_code_data_constructedrightentryright) + (dst_negative_scale_data_constructedrightentryright)) * S ((dst_negative_code_data_constructedrightentryright) + (dst_negative_scale_data_constructedrightentryright)) + ((dst_negative_scale_data_constructedrightentryright) + (dst_negative_scale_data_constructedrightentryright)))) * S ((((dst_positive_code_data_constructedrightentryright) + (dst_positive_scale_data_constructedrightentryright)) * S ((dst_positive_code_data_constructedrightentryright) + (dst_positive_scale_data_constructedrightentryright)) + ((dst_positive_scale_data_constructedrightentryright) + (dst_positive_scale_data_constructedrightentryright))) + (((dst_negative_code_data_constructedrightentryright) + (dst_negative_scale_data_constructedrightentryright)) * S ((dst_negative_code_data_constructedrightentryright) + (dst_negative_scale_data_constructedrightentryright)) + ((dst_negative_scale_data_constructedrightentryright) + (dst_negative_scale_data_constructedrightentryright)))) + ((((dst_negative_code_data_constructedrightentryright) + (dst_negative_scale_data_constructedrightentryright)) * S ((dst_negative_code_data_constructedrightentryright) + (dst_negative_scale_data_constructedrightentryright)) + ((dst_negative_scale_data_constructedrightentryright) + (dst_negative_scale_data_constructedrightentryright))) + (((dst_negative_code_data_constructedrightentryright) + (dst_negative_scale_data_constructedrightentryright)) * S ((dst_negative_code_data_constructedrightentryright) + (dst_negative_scale_data_constructedrightentryright)) + ((dst_negative_scale_data_constructedrightentryright) + (dst_negative_scale_data_constructedrightentryright)))))) /\ (((((exists ff_h_pvs_data_constructedrightentryrightpositive. ff_h_pvs_data_constructedrightentryrightpositive + S (dst_positive_data_constructedrightentryright) = S ((S (dc_quotient_data_constructedrightentry)) * dst_positive_scale_data_constructedrightentryright)) /\ exists ff_q_pvs_data_constructedrightentryrightpositive. dst_positive_code_data_constructedrightentryright = ff_q_pvs_data_constructedrightentryrightpositive * S ((S (dc_quotient_data_constructedrightentry)) * dst_positive_scale_data_constructedrightentryright) + (dst_positive_data_constructedrightentryright))) /\ (((((exists ff_h_pvs_data_constructedrightentryrightnegative. ff_h_pvs_data_constructedrightentryrightnegative + S (dst_negative_data_constructedrightentryright) = S ((S (dc_quotient_data_constructedrightentry)) * dst_negative_scale_data_constructedrightentryright)) /\ exists ff_q_pvs_data_constructedrightentryrightnegative. dst_negative_code_data_constructedrightentryright = ff_q_pvs_data_constructedrightentryrightnegative * S ((S (dc_quotient_data_constructedrightentry)) * dst_negative_scale_data_constructedrightentryright) + (dst_negative_data_constructedrightentryright))) /\ (exists ge_balance_positive_data_constructedrightentryrightvalue ge_balance_negative_data_constructedrightentryrightvalue. (((((dc_right_data_constructedrightentry) = 2 * (ge_balance_positive_data_constructedrightentryrightvalue) /\ (ge_balance_negative_data_constructedrightentryrightvalue) = 0) \/ exists ge_signed_half_data_constructedrightentryrightvaluedecode. (((dc_right_data_constructedrightentry) = 2 * ge_signed_half_data_constructedrightentryrightvaluedecode + 1 /\ (ge_balance_positive_data_constructedrightentryrightvalue) = 0) /\ (ge_balance_negative_data_constructedrightentryrightvalue) = S ge_signed_half_data_constructedrightentryrightvaluedecode))) /\ ((dst_positive_data_constructedrightentryright) + ge_balance_negative_data_constructedrightentryrightvalue = (dst_negative_data_constructedrightentryright) + ge_balance_positive_data_constructedrightentryrightvalue))))))))) /\ (exists sto_ap_data_constructedrightentryproduct sto_an_data_constructedrightentryproduct sto_bp_data_constructedrightentryproduct sto_bn_data_constructedrightentryproduct sto_cp_data_constructedrightentryproduct sto_cn_data_constructedrightentryproduct. (((((dc_left_data_constructedrightentry) = 2 * (sto_ap_data_constructedrightentryproduct) /\ (sto_an_data_constructedrightentryproduct) = 0) \/ exists ge_signed_half_data_constructedrightentryproductleft. (((dc_left_data_constructedrightentry) = 2 * ge_signed_half_data_constructedrightentryproductleft + 1 /\ (sto_ap_data_constructedrightentryproduct) = 0) /\ (sto_an_data_constructedrightentryproduct) = S ge_signed_half_data_constructedrightentryproductleft))) /\ ((((((dc_right_data_constructedrightentry) = 2 * (sto_bp_data_constructedrightentryproduct) /\ (sto_bn_data_constructedrightentryproduct) = 0) \/ exists ge_signed_half_data_constructedrightentryproductright. (((dc_right_data_constructedrightentry) = 2 * ge_signed_half_data_constructedrightentryproductright + 1 /\ (sto_bp_data_constructedrightentryproduct) = 0) /\ (sto_bn_data_constructedrightentryproduct) = S ge_signed_half_data_constructedrightentryproductright))) /\ ((((((dc_value_data_constructedright) = 2 * (sto_cp_data_constructedrightentryproduct) /\ (sto_cn_data_constructedrightentryproduct) = 0) \/ exists ge_signed_half_data_constructedrightentryproductoutput. (((dc_value_data_constructedright) = 2 * ge_signed_half_data_constructedrightentryproductoutput + 1 /\ (sto_cp_data_constructedrightentryproduct) = 0) /\ (sto_cn_data_constructedrightentryproduct) = S ge_signed_half_data_constructedrightentryproductoutput))) /\ ((sto_ap_data_constructedrightentryproduct * sto_bp_data_constructedrightentryproduct + sto_an_data_constructedrightentryproduct * sto_bn_data_constructedrightentryproduct) + sto_cn_data_constructedrightentryproduct = (sto_ap_data_constructedrightentryproduct * sto_bn_data_constructedrightentryproduct + sto_an_data_constructedrightentryproduct * sto_bp_data_constructedrightentryproduct) + sto_cp_data_constructedrightentryproduct))))))))))))))) \/ ((((dc_index_data_constructedright)=0 \/ ~(exists pvs_factor_data_constructedrightentrynondivisor. (n) = (dc_index_data_constructedright) * pvs_factor_data_constructedrightentrynondivisor)) /\ ((dc_value_data_constructedright)=0))))))) /\ (((((exists dst_positive_code_data_constructedcartesianF dst_positive_scale_data_constructedcartesianF dst_negative_code_data_constructedcartesianF dst_negative_scale_data_constructedcartesianF. (((A) = (((((dst_positive_code_data_constructedcartesianF) + (dst_positive_scale_data_constructedcartesianF)) * S ((dst_positive_code_data_constructedcartesianF) + (dst_positive_scale_data_constructedcartesianF)) + ((dst_positive_scale_data_constructedcartesianF) + (dst_positive_scale_data_constructedcartesianF))) + (((dst_negative_code_data_constructedcartesianF) + (dst_negative_scale_data_constructedcartesianF)) * S ((dst_negative_code_data_constructedcartesianF) + (dst_negative_scale_data_constructedcartesianF)) + ((dst_negative_scale_data_constructedcartesianF) + (dst_negative_scale_data_constructedcartesianF)))) * S ((((dst_positive_code_data_constructedcartesianF) + (dst_positive_scale_data_constructedcartesianF)) * S ((dst_positive_code_data_constructedcartesianF) + (dst_positive_scale_data_constructedcartesianF)) + ((dst_positive_scale_data_constructedcartesianF) + (dst_positive_scale_data_constructedcartesianF))) + (((dst_negative_code_data_constructedcartesianF) + (dst_negative_scale_data_constructedcartesianF)) * S ((dst_negative_code_data_constructedcartesianF) + (dst_negative_scale_data_constructedcartesianF)) + ((dst_negative_scale_data_constructedcartesianF) + (dst_negative_scale_data_constructedcartesianF)))) + ((((dst_negative_code_data_constructedcartesianF) + (dst_negative_scale_data_constructedcartesianF)) * S ((dst_negative_code_data_constructedcartesianF) + (dst_negative_scale_data_constructedcartesianF)) + ((dst_negative_scale_data_constructedcartesianF) + (dst_negative_scale_data_constructedcartesianF))) + (((dst_negative_code_data_constructedcartesianF) + (dst_negative_scale_data_constructedcartesianF)) * S ((dst_negative_code_data_constructedcartesianF) + (dst_negative_scale_data_constructedcartesianF)) + ((dst_negative_scale_data_constructedcartesianF) + (dst_negative_scale_data_constructedcartesianF)))))) /\ (forall dst_index_data_constructedcartesianF. (exists pvs_le_gap_data_constructedcartesianFdomain. pvs_le_gap_data_constructedcartesianFdomain + (dst_index_data_constructedcartesianF) = (0)) -> exists dst_positive_data_constructedcartesianF dst_negative_data_constructedcartesianF dst_value_data_constructedcartesianF. ((((exists ff_h_pvs_data_constructedcartesianFentrypositive. ff_h_pvs_data_constructedcartesianFentrypositive + S (dst_positive_data_constructedcartesianF) = S ((S (dst_index_data_constructedcartesianF)) * dst_positive_scale_data_constructedcartesianF)) /\ exists ff_q_pvs_data_constructedcartesianFentrypositive. dst_positive_code_data_constructedcartesianF = ff_q_pvs_data_constructedcartesianFentrypositive * S ((S (dst_index_data_constructedcartesianF)) * dst_positive_scale_data_constructedcartesianF) + (dst_positive_data_constructedcartesianF))) /\ (((((exists ff_h_pvs_data_constructedcartesianFentrynegative. ff_h_pvs_data_constructedcartesianFentrynegative + S (dst_negative_data_constructedcartesianF) = S ((S (dst_index_data_constructedcartesianF)) * dst_negative_scale_data_constructedcartesianF)) /\ exists ff_q_pvs_data_constructedcartesianFentrynegative. dst_negative_code_data_constructedcartesianF = ff_q_pvs_data_constructedcartesianFentrynegative * S ((S (dst_index_data_constructedcartesianF)) * dst_negative_scale_data_constructedcartesianF) + (dst_negative_data_constructedcartesianF))) /\ (exists ge_balance_positive_data_constructedcartesianFentryvalue ge_balance_negative_data_constructedcartesianFentryvalue. (((((dst_value_data_constructedcartesianF) = 2 * (ge_balance_positive_data_constructedcartesianFentryvalue) /\ (ge_balance_negative_data_constructedcartesianFentryvalue) = 0) \/ exists ge_signed_half_data_constructedcartesianFentryvaluedecode. (((dst_value_data_constructedcartesianF) = 2 * ge_signed_half_data_constructedcartesianFentryvaluedecode + 1 /\ (ge_balance_positive_data_constructedcartesianFentryvalue) = 0) /\ (ge_balance_negative_data_constructedcartesianFentryvalue) = S ge_signed_half_data_constructedcartesianFentryvaluedecode))) /\ ((dst_positive_data_constructedcartesianF) + ge_balance_negative_data_constructedcartesianFentryvalue = (dst_negative_data_constructedcartesianF) + ge_balance_positive_data_constructedcartesianFentryvalue))))))))) /\ (((exists dst_positive_code_data_constructedcartesianG dst_positive_scale_data_constructedcartesianG dst_negative_code_data_constructedcartesianG dst_negative_scale_data_constructedcartesianG. (((B) = (((((dst_positive_code_data_constructedcartesianG) + (dst_positive_scale_data_constructedcartesianG)) * S ((dst_positive_code_data_constructedcartesianG) + (dst_positive_scale_data_constructedcartesianG)) + ((dst_positive_scale_data_constructedcartesianG) + (dst_positive_scale_data_constructedcartesianG))) + (((dst_negative_code_data_constructedcartesianG) + (dst_negative_scale_data_constructedcartesianG)) * S ((dst_negative_code_data_constructedcartesianG) + (dst_negative_scale_data_constructedcartesianG)) + ((dst_negative_scale_data_constructedcartesianG) + (dst_negative_scale_data_constructedcartesianG)))) * S ((((dst_positive_code_data_constructedcartesianG) + (dst_positive_scale_data_constructedcartesianG)) * S ((dst_positive_code_data_constructedcartesianG) + (dst_positive_scale_data_constructedcartesianG)) + ((dst_positive_scale_data_constructedcartesianG) + (dst_positive_scale_data_constructedcartesianG))) + (((dst_negative_code_data_constructedcartesianG) + (dst_negative_scale_data_constructedcartesianG)) * S ((dst_negative_code_data_constructedcartesianG) + (dst_negative_scale_data_constructedcartesianG)) + ((dst_negative_scale_data_constructedcartesianG) + (dst_negative_scale_data_constructedcartesianG)))) + ((((dst_negative_code_data_constructedcartesianG) + (dst_negative_scale_data_constructedcartesianG)) * S ((dst_negative_code_data_constructedcartesianG) + (dst_negative_scale_data_constructedcartesianG)) + ((dst_negative_scale_data_constructedcartesianG) + (dst_negative_scale_data_constructedcartesianG))) + (((dst_negative_code_data_constructedcartesianG) + (dst_negative_scale_data_constructedcartesianG)) * S ((dst_negative_code_data_constructedcartesianG) + (dst_negative_scale_data_constructedcartesianG)) + ((dst_negative_scale_data_constructedcartesianG) + (dst_negative_scale_data_constructedcartesianG)))))) /\ (forall dst_index_data_constructedcartesianG. (exists pvs_le_gap_data_constructedcartesianGdomain. pvs_le_gap_data_constructedcartesianGdomain + (dst_index_data_constructedcartesianG) = (0)) -> exists dst_positive_data_constructedcartesianG dst_negative_data_constructedcartesianG dst_value_data_constructedcartesianG. ((((exists ff_h_pvs_data_constructedcartesianGentrypositive. ff_h_pvs_data_constructedcartesianGentrypositive + S (dst_positive_data_constructedcartesianG) = S ((S (dst_index_data_constructedcartesianG)) * dst_positive_scale_data_constructedcartesianG)) /\ exists ff_q_pvs_data_constructedcartesianGentrypositive. dst_positive_code_data_constructedcartesianG = ff_q_pvs_data_constructedcartesianGentrypositive * S ((S (dst_index_data_constructedcartesianG)) * dst_positive_scale_data_constructedcartesianG) + (dst_positive_data_constructedcartesianG))) /\ (((((exists ff_h_pvs_data_constructedcartesianGentrynegative. ff_h_pvs_data_constructedcartesianGentrynegative + S (dst_negative_data_constructedcartesianG) = S ((S (dst_index_data_constructedcartesianG)) * dst_negative_scale_data_constructedcartesianG)) /\ exists ff_q_pvs_data_constructedcartesianGentrynegative. dst_negative_code_data_constructedcartesianG = ff_q_pvs_data_constructedcartesianGentrynegative * S ((S (dst_index_data_constructedcartesianG)) * dst_negative_scale_data_constructedcartesianG) + (dst_negative_data_constructedcartesianG))) /\ (exists ge_balance_positive_data_constructedcartesianGentryvalue ge_balance_negative_data_constructedcartesianGentryvalue. (((((dst_value_data_constructedcartesianG) = 2 * (ge_balance_positive_data_constructedcartesianGentryvalue) /\ (ge_balance_negative_data_constructedcartesianGentryvalue) = 0) \/ exists ge_signed_half_data_constructedcartesianGentryvaluedecode. (((dst_value_data_constructedcartesianG) = 2 * ge_signed_half_data_constructedcartesianGentryvaluedecode + 1 /\ (ge_balance_positive_data_constructedcartesianGentryvalue) = 0) /\ (ge_balance_negative_data_constructedcartesianGentryvalue) = S ge_signed_half_data_constructedcartesianGentryvaluedecode))) /\ ((dst_positive_data_constructedcartesianG) + ge_balance_negative_data_constructedcartesianGentryvalue = (dst_negative_data_constructedcartesianG) + ge_balance_positive_data_constructedcartesianGentryvalue))))))))) /\ (((exists dst_positive_code_data_constructedcartesianT dst_positive_scale_data_constructedcartesianT dst_negative_code_data_constructedcartesianT dst_negative_scale_data_constructedcartesianT. (((T) = (((((dst_positive_code_data_constructedcartesianT) + (dst_positive_scale_data_constructedcartesianT)) * S ((dst_positive_code_data_constructedcartesianT) + (dst_positive_scale_data_constructedcartesianT)) + ((dst_positive_scale_data_constructedcartesianT) + (dst_positive_scale_data_constructedcartesianT))) + (((dst_negative_code_data_constructedcartesianT) + (dst_negative_scale_data_constructedcartesianT)) * S ((dst_negative_code_data_constructedcartesianT) + (dst_negative_scale_data_constructedcartesianT)) + ((dst_negative_scale_data_constructedcartesianT) + (dst_negative_scale_data_constructedcartesianT)))) * S ((((dst_positive_code_data_constructedcartesianT) + (dst_positive_scale_data_constructedcartesianT)) * S ((dst_positive_code_data_constructedcartesianT) + (dst_positive_scale_data_constructedcartesianT)) + ((dst_positive_scale_data_constructedcartesianT) + (dst_positive_scale_data_constructedcartesianT))) + (((dst_negative_code_data_constructedcartesianT) + (dst_negative_scale_data_constructedcartesianT)) * S ((dst_negative_code_data_constructedcartesianT) + (dst_negative_scale_data_constructedcartesianT)) + ((dst_negative_scale_data_constructedcartesianT) + (dst_negative_scale_data_constructedcartesianT)))) + ((((dst_negative_code_data_constructedcartesianT) + (dst_negative_scale_data_constructedcartesianT)) * S ((dst_negative_code_data_constructedcartesianT) + (dst_negative_scale_data_constructedcartesianT)) + ((dst_negative_scale_data_constructedcartesianT) + (dst_negative_scale_data_constructedcartesianT))) + (((dst_negative_code_data_constructedcartesianT) + (dst_negative_scale_data_constructedcartesianT)) * S ((dst_negative_code_data_constructedcartesianT) + (dst_negative_scale_data_constructedcartesianT)) + ((dst_negative_scale_data_constructedcartesianT) + (dst_negative_scale_data_constructedcartesianT)))))) /\ (forall dst_index_data_constructedcartesianT. (exists pvs_le_gap_data_constructedcartesianTdomain. pvs_le_gap_data_constructedcartesianTdomain + (dst_index_data_constructedcartesianT) = ((S (m))*(S (n)))) -> exists dst_positive_data_constructedcartesianT dst_negative_data_constructedcartesianT dst_value_data_constructedcartesianT. ((((exists ff_h_pvs_data_constructedcartesianTentrypositive. ff_h_pvs_data_constructedcartesianTentrypositive + S (dst_positive_data_constructedcartesianT) = S ((S (dst_index_data_constructedcartesianT)) * dst_positive_scale_data_constructedcartesianT)) /\ exists ff_q_pvs_data_constructedcartesianTentrypositive. dst_positive_code_data_constructedcartesianT = ff_q_pvs_data_constructedcartesianTentrypositive * S ((S (dst_index_data_constructedcartesianT)) * dst_positive_scale_data_constructedcartesianT) + (dst_positive_data_constructedcartesianT))) /\ (((((exists ff_h_pvs_data_constructedcartesianTentrynegative. ff_h_pvs_data_constructedcartesianTentrynegative + S (dst_negative_data_constructedcartesianT) = S ((S (dst_index_data_constructedcartesianT)) * dst_negative_scale_data_constructedcartesianT)) /\ exists ff_q_pvs_data_constructedcartesianTentrynegative. dst_negative_code_data_constructedcartesianT = ff_q_pvs_data_constructedcartesianTentrynegative * S ((S (dst_index_data_constructedcartesianT)) * dst_negative_scale_data_constructedcartesianT) + (dst_negative_data_constructedcartesianT))) /\ (exists ge_balance_positive_data_constructedcartesianTentryvalue ge_balance_negative_data_constructedcartesianTentryvalue. (((((dst_value_data_constructedcartesianT) = 2 * (ge_balance_positive_data_constructedcartesianTentryvalue) /\ (ge_balance_negative_data_constructedcartesianTentryvalue) = 0) \/ exists ge_signed_half_data_constructedcartesianTentryvaluedecode. (((dst_value_data_constructedcartesianT) = 2 * ge_signed_half_data_constructedcartesianTentryvaluedecode + 1 /\ (ge_balance_positive_data_constructedcartesianTentryvalue) = 0) /\ (ge_balance_negative_data_constructedcartesianTentryvalue) = S ge_signed_half_data_constructedcartesianTentryvaluedecode))) /\ ((dst_positive_data_constructedcartesianT) + ge_balance_negative_data_constructedcartesianTentryvalue = (dst_negative_data_constructedcartesianT) + ge_balance_positive_data_constructedcartesianTentryvalue))))))))) /\ (forall scp_row_data_constructedcartesian scp_column_data_constructedcartesian scp_first_data_constructedcartesian scp_second_data_constructedcartesian scp_value_data_constructedcartesian. (exists pvs_gap_data_constructedcartesianrows. pvs_gap_data_constructedcartesianrows + S (scp_row_data_constructedcartesian) = (S (m))) -> (exists pvs_gap_data_constructedcartesiancolumns. pvs_gap_data_constructedcartesiancolumns + S (scp_column_data_constructedcartesian) = (S (n))) -> (exists dst_positive_code_data_constructedcartesianfirst dst_positive_scale_data_constructedcartesianfirst dst_negative_code_data_constructedcartesianfirst dst_negative_scale_data_constructedcartesianfirst dst_positive_data_constructedcartesianfirst dst_negative_data_constructedcartesianfirst. (((A) = (((((dst_positive_code_data_constructedcartesianfirst) + (dst_positive_scale_data_constructedcartesianfirst)) * S ((dst_positive_code_data_constructedcartesianfirst) + (dst_positive_scale_data_constructedcartesianfirst)) + ((dst_positive_scale_data_constructedcartesianfirst) + (dst_positive_scale_data_constructedcartesianfirst))) + (((dst_negative_code_data_constructedcartesianfirst) + (dst_negative_scale_data_constructedcartesianfirst)) * S ((dst_negative_code_data_constructedcartesianfirst) + (dst_negative_scale_data_constructedcartesianfirst)) + ((dst_negative_scale_data_constructedcartesianfirst) + (dst_negative_scale_data_constructedcartesianfirst)))) * S ((((dst_positive_code_data_constructedcartesianfirst) + (dst_positive_scale_data_constructedcartesianfirst)) * S ((dst_positive_code_data_constructedcartesianfirst) + (dst_positive_scale_data_constructedcartesianfirst)) + ((dst_positive_scale_data_constructedcartesianfirst) + (dst_positive_scale_data_constructedcartesianfirst))) + (((dst_negative_code_data_constructedcartesianfirst) + (dst_negative_scale_data_constructedcartesianfirst)) * S ((dst_negative_code_data_constructedcartesianfirst) + (dst_negative_scale_data_constructedcartesianfirst)) + ((dst_negative_scale_data_constructedcartesianfirst) + (dst_negative_scale_data_constructedcartesianfirst)))) + ((((dst_negative_code_data_constructedcartesianfirst) + (dst_negative_scale_data_constructedcartesianfirst)) * S ((dst_negative_code_data_constructedcartesianfirst) + (dst_negative_scale_data_constructedcartesianfirst)) + ((dst_negative_scale_data_constructedcartesianfirst) + (dst_negative_scale_data_constructedcartesianfirst))) + (((dst_negative_code_data_constructedcartesianfirst) + (dst_negative_scale_data_constructedcartesianfirst)) * S ((dst_negative_code_data_constructedcartesianfirst) + (dst_negative_scale_data_constructedcartesianfirst)) + ((dst_negative_scale_data_constructedcartesianfirst) + (dst_negative_scale_data_constructedcartesianfirst)))))) /\ (((((exists ff_h_pvs_data_constructedcartesianfirstpositive. ff_h_pvs_data_constructedcartesianfirstpositive + S (dst_positive_data_constructedcartesianfirst) = S ((S (scp_row_data_constructedcartesian)) * dst_positive_scale_data_constructedcartesianfirst)) /\ exists ff_q_pvs_data_constructedcartesianfirstpositive. dst_positive_code_data_constructedcartesianfirst = ff_q_pvs_data_constructedcartesianfirstpositive * S ((S (scp_row_data_constructedcartesian)) * dst_positive_scale_data_constructedcartesianfirst) + (dst_positive_data_constructedcartesianfirst))) /\ (((((exists ff_h_pvs_data_constructedcartesianfirstnegative. ff_h_pvs_data_constructedcartesianfirstnegative + S (dst_negative_data_constructedcartesianfirst) = S ((S (scp_row_data_constructedcartesian)) * dst_negative_scale_data_constructedcartesianfirst)) /\ exists ff_q_pvs_data_constructedcartesianfirstnegative. dst_negative_code_data_constructedcartesianfirst = ff_q_pvs_data_constructedcartesianfirstnegative * S ((S (scp_row_data_constructedcartesian)) * dst_negative_scale_data_constructedcartesianfirst) + (dst_negative_data_constructedcartesianfirst))) /\ (exists ge_balance_positive_data_constructedcartesianfirstvalue ge_balance_negative_data_constructedcartesianfirstvalue. (((((scp_first_data_constructedcartesian) = 2 * (ge_balance_positive_data_constructedcartesianfirstvalue) /\ (ge_balance_negative_data_constructedcartesianfirstvalue) = 0) \/ exists ge_signed_half_data_constructedcartesianfirstvaluedecode. (((scp_first_data_constructedcartesian) = 2 * ge_signed_half_data_constructedcartesianfirstvaluedecode + 1 /\ (ge_balance_positive_data_constructedcartesianfirstvalue) = 0) /\ (ge_balance_negative_data_constructedcartesianfirstvalue) = S ge_signed_half_data_constructedcartesianfirstvaluedecode))) /\ ((dst_positive_data_constructedcartesianfirst) + ge_balance_negative_data_constructedcartesianfirstvalue = (dst_negative_data_constructedcartesianfirst) + ge_balance_positive_data_constructedcartesianfirstvalue))))))))) -> (exists dst_positive_code_data_constructedcartesiansecond dst_positive_scale_data_constructedcartesiansecond dst_negative_code_data_constructedcartesiansecond dst_negative_scale_data_constructedcartesiansecond dst_positive_data_constructedcartesiansecond dst_negative_data_constructedcartesiansecond. (((B) = (((((dst_positive_code_data_constructedcartesiansecond) + (dst_positive_scale_data_constructedcartesiansecond)) * S ((dst_positive_code_data_constructedcartesiansecond) + (dst_positive_scale_data_constructedcartesiansecond)) + ((dst_positive_scale_data_constructedcartesiansecond) + (dst_positive_scale_data_constructedcartesiansecond))) + (((dst_negative_code_data_constructedcartesiansecond) + (dst_negative_scale_data_constructedcartesiansecond)) * S ((dst_negative_code_data_constructedcartesiansecond) + (dst_negative_scale_data_constructedcartesiansecond)) + ((dst_negative_scale_data_constructedcartesiansecond) + (dst_negative_scale_data_constructedcartesiansecond)))) * S ((((dst_positive_code_data_constructedcartesiansecond) + (dst_positive_scale_data_constructedcartesiansecond)) * S ((dst_positive_code_data_constructedcartesiansecond) + (dst_positive_scale_data_constructedcartesiansecond)) + ((dst_positive_scale_data_constructedcartesiansecond) + (dst_positive_scale_data_constructedcartesiansecond))) + (((dst_negative_code_data_constructedcartesiansecond) + (dst_negative_scale_data_constructedcartesiansecond)) * S ((dst_negative_code_data_constructedcartesiansecond) + (dst_negative_scale_data_constructedcartesiansecond)) + ((dst_negative_scale_data_constructedcartesiansecond) + (dst_negative_scale_data_constructedcartesiansecond)))) + ((((dst_negative_code_data_constructedcartesiansecond) + (dst_negative_scale_data_constructedcartesiansecond)) * S ((dst_negative_code_data_constructedcartesiansecond) + (dst_negative_scale_data_constructedcartesiansecond)) + ((dst_negative_scale_data_constructedcartesiansecond) + (dst_negative_scale_data_constructedcartesiansecond))) + (((dst_negative_code_data_constructedcartesiansecond) + (dst_negative_scale_data_constructedcartesiansecond)) * S ((dst_negative_code_data_constructedcartesiansecond) + (dst_negative_scale_data_constructedcartesiansecond)) + ((dst_negative_scale_data_constructedcartesiansecond) + (dst_negative_scale_data_constructedcartesiansecond)))))) /\ (((((exists ff_h_pvs_data_constructedcartesiansecondpositive. ff_h_pvs_data_constructedcartesiansecondpositive + S (dst_positive_data_constructedcartesiansecond) = S ((S (scp_column_data_constructedcartesian)) * dst_positive_scale_data_constructedcartesiansecond)) /\ exists ff_q_pvs_data_constructedcartesiansecondpositive. dst_positive_code_data_constructedcartesiansecond = ff_q_pvs_data_constructedcartesiansecondpositive * S ((S (scp_column_data_constructedcartesian)) * dst_positive_scale_data_constructedcartesiansecond) + (dst_positive_data_constructedcartesiansecond))) /\ (((((exists ff_h_pvs_data_constructedcartesiansecondnegative. ff_h_pvs_data_constructedcartesiansecondnegative + S (dst_negative_data_constructedcartesiansecond) = S ((S (scp_column_data_constructedcartesian)) * dst_negative_scale_data_constructedcartesiansecond)) /\ exists ff_q_pvs_data_constructedcartesiansecondnegative. dst_negative_code_data_constructedcartesiansecond = ff_q_pvs_data_constructedcartesiansecondnegative * S ((S (scp_column_data_constructedcartesian)) * dst_negative_scale_data_constructedcartesiansecond) + (dst_negative_data_constructedcartesiansecond))) /\ (exists ge_balance_positive_data_constructedcartesiansecondvalue ge_balance_negative_data_constructedcartesiansecondvalue. (((((scp_second_data_constructedcartesian) = 2 * (ge_balance_positive_data_constructedcartesiansecondvalue) /\ (ge_balance_negative_data_constructedcartesiansecondvalue) = 0) \/ exists ge_signed_half_data_constructedcartesiansecondvaluedecode. (((scp_second_data_constructedcartesian) = 2 * ge_signed_half_data_constructedcartesiansecondvaluedecode + 1 /\ (ge_balance_positive_data_constructedcartesiansecondvalue) = 0) /\ (ge_balance_negative_data_constructedcartesiansecondvalue) = S ge_signed_half_data_constructedcartesiansecondvaluedecode))) /\ ((dst_positive_data_constructedcartesiansecond) + ge_balance_negative_data_constructedcartesiansecondvalue = (dst_negative_data_constructedcartesiansecond) + ge_balance_positive_data_constructedcartesiansecondvalue))))))))) -> (exists dst_positive_code_data_constructedcartesianentry dst_positive_scale_data_constructedcartesianentry dst_negative_code_data_constructedcartesianentry dst_negative_scale_data_constructedcartesianentry dst_positive_data_constructedcartesianentry dst_negative_data_constructedcartesianentry. (((T) = (((((dst_positive_code_data_constructedcartesianentry) + (dst_positive_scale_data_constructedcartesianentry)) * S ((dst_positive_code_data_constructedcartesianentry) + (dst_positive_scale_data_constructedcartesianentry)) + ((dst_positive_scale_data_constructedcartesianentry) + (dst_positive_scale_data_constructedcartesianentry))) + (((dst_negative_code_data_constructedcartesianentry) + (dst_negative_scale_data_constructedcartesianentry)) * S ((dst_negative_code_data_constructedcartesianentry) + (dst_negative_scale_data_constructedcartesianentry)) + ((dst_negative_scale_data_constructedcartesianentry) + (dst_negative_scale_data_constructedcartesianentry)))) * S ((((dst_positive_code_data_constructedcartesianentry) + (dst_positive_scale_data_constructedcartesianentry)) * S ((dst_positive_code_data_constructedcartesianentry) + (dst_positive_scale_data_constructedcartesianentry)) + ((dst_positive_scale_data_constructedcartesianentry) + (dst_positive_scale_data_constructedcartesianentry))) + (((dst_negative_code_data_constructedcartesianentry) + (dst_negative_scale_data_constructedcartesianentry)) * S ((dst_negative_code_data_constructedcartesianentry) + (dst_negative_scale_data_constructedcartesianentry)) + ((dst_negative_scale_data_constructedcartesianentry) + (dst_negative_scale_data_constructedcartesianentry)))) + ((((dst_negative_code_data_constructedcartesianentry) + (dst_negative_scale_data_constructedcartesianentry)) * S ((dst_negative_code_data_constructedcartesianentry) + (dst_negative_scale_data_constructedcartesianentry)) + ((dst_negative_scale_data_constructedcartesianentry) + (dst_negative_scale_data_constructedcartesianentry))) + (((dst_negative_code_data_constructedcartesianentry) + (dst_negative_scale_data_constructedcartesianentry)) * S ((dst_negative_code_data_constructedcartesianentry) + (dst_negative_scale_data_constructedcartesianentry)) + ((dst_negative_scale_data_constructedcartesianentry) + (dst_negative_scale_data_constructedcartesianentry)))))) /\ (((((exists ff_h_pvs_data_constructedcartesianentrypositive. ff_h_pvs_data_constructedcartesianentrypositive + S (dst_positive_data_constructedcartesianentry) = S ((S (((S (n))*(scp_row_data_constructedcartesian)+(scp_column_data_constructedcartesian)))) * dst_positive_scale_data_constructedcartesianentry)) /\ exists ff_q_pvs_data_constructedcartesianentrypositive. dst_positive_code_data_constructedcartesianentry = ff_q_pvs_data_constructedcartesianentrypositive * S ((S (((S (n))*(scp_row_data_constructedcartesian)+(scp_column_data_constructedcartesian)))) * dst_positive_scale_data_constructedcartesianentry) + (dst_positive_data_constructedcartesianentry))) /\ (((((exists ff_h_pvs_data_constructedcartesianentrynegative. ff_h_pvs_data_constructedcartesianentrynegative + S (dst_negative_data_constructedcartesianentry) = S ((S (((S (n))*(scp_row_data_constructedcartesian)+(scp_column_data_constructedcartesian)))) * dst_negative_scale_data_constructedcartesianentry)) /\ exists ff_q_pvs_data_constructedcartesianentrynegative. dst_negative_code_data_constructedcartesianentry = ff_q_pvs_data_constructedcartesianentrynegative * S ((S (((S (n))*(scp_row_data_constructedcartesian)+(scp_column_data_constructedcartesian)))) * dst_negative_scale_data_constructedcartesianentry) + (dst_negative_data_constructedcartesianentry))) /\ (exists ge_balance_positive_data_constructedcartesianentryvalue ge_balance_negative_data_constructedcartesianentryvalue. (((((scp_value_data_constructedcartesian) = 2 * (ge_balance_positive_data_constructedcartesianentryvalue) /\ (ge_balance_negative_data_constructedcartesianentryvalue) = 0) \/ exists ge_signed_half_data_constructedcartesianentryvaluedecode. (((scp_value_data_constructedcartesian) = 2 * ge_signed_half_data_constructedcartesianentryvaluedecode + 1 /\ (ge_balance_positive_data_constructedcartesianentryvalue) = 0) /\ (ge_balance_negative_data_constructedcartesianentryvalue) = S ge_signed_half_data_constructedcartesianentryvaluedecode))) /\ ((dst_positive_data_constructedcartesianentry) + ge_balance_negative_data_constructedcartesianentryvalue = (dst_negative_data_constructedcartesianentry) + ge_balance_positive_data_constructedcartesianentryvalue))))))))) -> (exists sto_ap_data_constructedcartesianmultiply sto_an_data_constructedcartesianmultiply sto_bp_data_constructedcartesianmultiply sto_bn_data_constructedcartesianmultiply sto_cp_data_constructedcartesianmultiply sto_cn_data_constructedcartesianmultiply. (((((scp_first_data_constructedcartesian) = 2 * (sto_ap_data_constructedcartesianmultiply) /\ (sto_an_data_constructedcartesianmultiply) = 0) \/ exists ge_signed_half_data_constructedcartesianmultiplyleft. (((scp_first_data_constructedcartesian) = 2 * ge_signed_half_data_constructedcartesianmultiplyleft + 1 /\ (sto_ap_data_constructedcartesianmultiply) = 0) /\ (sto_an_data_constructedcartesianmultiply) = S ge_signed_half_data_constructedcartesianmultiplyleft))) /\ ((((((scp_second_data_constructedcartesian) = 2 * (sto_bp_data_constructedcartesianmultiply) /\ (sto_bn_data_constructedcartesianmultiply) = 0) \/ exists ge_signed_half_data_constructedcartesianmultiplyright. (((scp_second_data_constructedcartesian) = 2 * ge_signed_half_data_constructedcartesianmultiplyright + 1 /\ (sto_bp_data_constructedcartesianmultiply) = 0) /\ (sto_bn_data_constructedcartesianmultiply) = S ge_signed_half_data_constructedcartesianmultiplyright))) /\ ((((((scp_value_data_constructedcartesian) = 2 * (sto_cp_data_constructedcartesianmultiply) /\ (sto_cn_data_constructedcartesianmultiply) = 0) \/ exists ge_signed_half_data_constructedcartesianmultiplyoutput. (((scp_value_data_constructedcartesian) = 2 * ge_signed_half_data_constructedcartesianmultiplyoutput + 1 /\ (sto_cp_data_constructedcartesianmultiply) = 0) /\ (sto_cn_data_constructedcartesianmultiply) = S ge_signed_half_data_constructedcartesianmultiplyoutput))) /\ ((sto_ap_data_constructedcartesianmultiply * sto_bp_data_constructedcartesianmultiply + sto_an_data_constructedcartesianmultiply * sto_bn_data_constructedcartesianmultiply) + sto_cn_data_constructedcartesianmultiply = (sto_ap_data_constructedcartesianmultiply * sto_bn_data_constructedcartesianmultiply + sto_an_data_constructedcartesianmultiply * sto_bp_data_constructedcartesianmultiply) + sto_cp_data_constructedcartesianmultiply)))))))))))))) /\ (((((exists dst_positive_code_data_constructedtargettable dst_positive_scale_data_constructedtargettable dst_negative_code_data_constructedtargettable dst_negative_scale_data_constructedtargettable. (((Q) = (((((dst_positive_code_data_constructedtargettable) + (dst_positive_scale_data_constructedtargettable)) * S ((dst_positive_code_data_constructedtargettable) + (dst_positive_scale_data_constructedtargettable)) + ((dst_positive_scale_data_constructedtargettable) + (dst_positive_scale_data_constructedtargettable))) + (((dst_negative_code_data_constructedtargettable) + (dst_negative_scale_data_constructedtargettable)) * S ((dst_negative_code_data_constructedtargettable) + (dst_negative_scale_data_constructedtargettable)) + ((dst_negative_scale_data_constructedtargettable) + (dst_negative_scale_data_constructedtargettable)))) * S ((((dst_positive_code_data_constructedtargettable) + (dst_positive_scale_data_constructedtargettable)) * S ((dst_positive_code_data_constructedtargettable) + (dst_positive_scale_data_constructedtargettable)) + ((dst_positive_scale_data_constructedtargettable) + (dst_positive_scale_data_constructedtargettable))) + (((dst_negative_code_data_constructedtargettable) + (dst_negative_scale_data_constructedtargettable)) * S ((dst_negative_code_data_constructedtargettable) + (dst_negative_scale_data_constructedtargettable)) + ((dst_negative_scale_data_constructedtargettable) + (dst_negative_scale_data_constructedtargettable)))) + ((((dst_negative_code_data_constructedtargettable) + (dst_negative_scale_data_constructedtargettable)) * S ((dst_negative_code_data_constructedtargettable) + (dst_negative_scale_data_constructedtargettable)) + ((dst_negative_scale_data_constructedtargettable) + (dst_negative_scale_data_constructedtargettable))) + (((dst_negative_code_data_constructedtargettable) + (dst_negative_scale_data_constructedtargettable)) * S ((dst_negative_code_data_constructedtargettable) + (dst_negative_scale_data_constructedtargettable)) + ((dst_negative_scale_data_constructedtargettable) + (dst_negative_scale_data_constructedtargettable)))))) /\ (forall dst_index_data_constructedtargettable. (exists pvs_le_gap_data_constructedtargettabledomain. pvs_le_gap_data_constructedtargettabledomain + (dst_index_data_constructedtargettable) = ((m)*(n))) -> exists dst_positive_data_constructedtargettable dst_negative_data_constructedtargettable dst_value_data_constructedtargettable. ((((exists ff_h_pvs_data_constructedtargettableentrypositive. ff_h_pvs_data_constructedtargettableentrypositive + S (dst_positive_data_constructedtargettable) = S ((S (dst_index_data_constructedtargettable)) * dst_positive_scale_data_constructedtargettable)) /\ exists ff_q_pvs_data_constructedtargettableentrypositive. dst_positive_code_data_constructedtargettable = ff_q_pvs_data_constructedtargettableentrypositive * S ((S (dst_index_data_constructedtargettable)) * dst_positive_scale_data_constructedtargettable) + (dst_positive_data_constructedtargettable))) /\ (((((exists ff_h_pvs_data_constructedtargettableentrynegative. ff_h_pvs_data_constructedtargettableentrynegative + S (dst_negative_data_constructedtargettable) = S ((S (dst_index_data_constructedtargettable)) * dst_negative_scale_data_constructedtargettable)) /\ exists ff_q_pvs_data_constructedtargettableentrynegative. dst_negative_code_data_constructedtargettable = ff_q_pvs_data_constructedtargettableentrynegative * S ((S (dst_index_data_constructedtargettable)) * dst_negative_scale_data_constructedtargettable) + (dst_negative_data_constructedtargettable))) /\ (exists ge_balance_positive_data_constructedtargettableentryvalue ge_balance_negative_data_constructedtargettableentryvalue. (((((dst_value_data_constructedtargettable) = 2 * (ge_balance_positive_data_constructedtargettableentryvalue) /\ (ge_balance_negative_data_constructedtargettableentryvalue) = 0) \/ exists ge_signed_half_data_constructedtargettableentryvaluedecode. (((dst_value_data_constructedtargettable) = 2 * ge_signed_half_data_constructedtargettableentryvaluedecode + 1 /\ (ge_balance_positive_data_constructedtargettableentryvalue) = 0) /\ (ge_balance_negative_data_constructedtargettableentryvalue) = S ge_signed_half_data_constructedtargettableentryvaluedecode))) /\ ((dst_positive_data_constructedtargettable) + ge_balance_negative_data_constructedtargettableentryvalue = (dst_negative_data_constructedtargettable) + ge_balance_positive_data_constructedtargettableentryvalue))))))))) /\ (forall dc_index_data_constructedtarget dc_value_data_constructedtarget. (exists pvs_le_gap_data_constructedtargetdomain. pvs_le_gap_data_constructedtargetdomain + (dc_index_data_constructedtarget) = ((m)*(n))) -> (exists dst_positive_code_data_constructedtargetlookup dst_positive_scale_data_constructedtargetlookup dst_negative_code_data_constructedtargetlookup dst_negative_scale_data_constructedtargetlookup dst_positive_data_constructedtargetlookup dst_negative_data_constructedtargetlookup. (((Q) = (((((dst_positive_code_data_constructedtargetlookup) + (dst_positive_scale_data_constructedtargetlookup)) * S ((dst_positive_code_data_constructedtargetlookup) + (dst_positive_scale_data_constructedtargetlookup)) + ((dst_positive_scale_data_constructedtargetlookup) + (dst_positive_scale_data_constructedtargetlookup))) + (((dst_negative_code_data_constructedtargetlookup) + (dst_negative_scale_data_constructedtargetlookup)) * S ((dst_negative_code_data_constructedtargetlookup) + (dst_negative_scale_data_constructedtargetlookup)) + ((dst_negative_scale_data_constructedtargetlookup) + (dst_negative_scale_data_constructedtargetlookup)))) * S ((((dst_positive_code_data_constructedtargetlookup) + (dst_positive_scale_data_constructedtargetlookup)) * S ((dst_positive_code_data_constructedtargetlookup) + (dst_positive_scale_data_constructedtargetlookup)) + ((dst_positive_scale_data_constructedtargetlookup) + (dst_positive_scale_data_constructedtargetlookup))) + (((dst_negative_code_data_constructedtargetlookup) + (dst_negative_scale_data_constructedtargetlookup)) * S ((dst_negative_code_data_constructedtargetlookup) + (dst_negative_scale_data_constructedtargetlookup)) + ((dst_negative_scale_data_constructedtargetlookup) + (dst_negative_scale_data_constructedtargetlookup)))) + ((((dst_negative_code_data_constructedtargetlookup) + (dst_negative_scale_data_constructedtargetlookup)) * S ((dst_negative_code_data_constructedtargetlookup) + (dst_negative_scale_data_constructedtargetlookup)) + ((dst_negative_scale_data_constructedtargetlookup) + (dst_negative_scale_data_constructedtargetlookup))) + (((dst_negative_code_data_constructedtargetlookup) + (dst_negative_scale_data_constructedtargetlookup)) * S ((dst_negative_code_data_constructedtargetlookup) + (dst_negative_scale_data_constructedtargetlookup)) + ((dst_negative_scale_data_constructedtargetlookup) + (dst_negative_scale_data_constructedtargetlookup)))))) /\ (((((exists ff_h_pvs_data_constructedtargetlookuppositive. ff_h_pvs_data_constructedtargetlookuppositive + S (dst_positive_data_constructedtargetlookup) = S ((S (dc_index_data_constructedtarget)) * dst_positive_scale_data_constructedtargetlookup)) /\ exists ff_q_pvs_data_constructedtargetlookuppositive. dst_positive_code_data_constructedtargetlookup = ff_q_pvs_data_constructedtargetlookuppositive * S ((S (dc_index_data_constructedtarget)) * dst_positive_scale_data_constructedtargetlookup) + (dst_positive_data_constructedtargetlookup))) /\ (((((exists ff_h_pvs_data_constructedtargetlookupnegative. ff_h_pvs_data_constructedtargetlookupnegative + S (dst_negative_data_constructedtargetlookup) = S ((S (dc_index_data_constructedtarget)) * dst_negative_scale_data_constructedtargetlookup)) /\ exists ff_q_pvs_data_constructedtargetlookupnegative. dst_negative_code_data_constructedtargetlookup = ff_q_pvs_data_constructedtargetlookupnegative * S ((S (dc_index_data_constructedtarget)) * dst_negative_scale_data_constructedtargetlookup) + (dst_negative_data_constructedtargetlookup))) /\ (exists ge_balance_positive_data_constructedtargetlookupvalue ge_balance_negative_data_constructedtargetlookupvalue. (((((dc_value_data_constructedtarget) = 2 * (ge_balance_positive_data_constructedtargetlookupvalue) /\ (ge_balance_negative_data_constructedtargetlookupvalue) = 0) \/ exists ge_signed_half_data_constructedtargetlookupvaluedecode. (((dc_value_data_constructedtarget) = 2 * ge_signed_half_data_constructedtargetlookupvaluedecode + 1 /\ (ge_balance_positive_data_constructedtargetlookupvalue) = 0) /\ (ge_balance_negative_data_constructedtargetlookupvalue) = S ge_signed_half_data_constructedtargetlookupvaluedecode))) /\ ((dst_positive_data_constructedtargetlookup) + ge_balance_negative_data_constructedtargetlookupvalue = (dst_negative_data_constructedtargetlookup) + ge_balance_positive_data_constructedtargetlookupvalue))))))))) -> ((((~((dc_index_data_constructedtarget)=0)) /\ (exists dc_quotient_data_constructedtargetentry dc_left_data_constructedtargetentry dc_right_data_constructedtargetentry. ((((m)*(n))=(dc_index_data_constructedtarget)*dc_quotient_data_constructedtargetentry) /\ (((exists dst_positive_code_data_constructedtargetentryleft dst_positive_scale_data_constructedtargetentryleft dst_negative_code_data_constructedtargetentryleft dst_negative_scale_data_constructedtargetentryleft dst_positive_data_constructedtargetentryleft dst_negative_data_constructedtargetentryleft. (((F) = (((((dst_positive_code_data_constructedtargetentryleft) + (dst_positive_scale_data_constructedtargetentryleft)) * S ((dst_positive_code_data_constructedtargetentryleft) + (dst_positive_scale_data_constructedtargetentryleft)) + ((dst_positive_scale_data_constructedtargetentryleft) + (dst_positive_scale_data_constructedtargetentryleft))) + (((dst_negative_code_data_constructedtargetentryleft) + (dst_negative_scale_data_constructedtargetentryleft)) * S ((dst_negative_code_data_constructedtargetentryleft) + (dst_negative_scale_data_constructedtargetentryleft)) + ((dst_negative_scale_data_constructedtargetentryleft) + (dst_negative_scale_data_constructedtargetentryleft)))) * S ((((dst_positive_code_data_constructedtargetentryleft) + (dst_positive_scale_data_constructedtargetentryleft)) * S ((dst_positive_code_data_constructedtargetentryleft) + (dst_positive_scale_data_constructedtargetentryleft)) + ((dst_positive_scale_data_constructedtargetentryleft) + (dst_positive_scale_data_constructedtargetentryleft))) + (((dst_negative_code_data_constructedtargetentryleft) + (dst_negative_scale_data_constructedtargetentryleft)) * S ((dst_negative_code_data_constructedtargetentryleft) + (dst_negative_scale_data_constructedtargetentryleft)) + ((dst_negative_scale_data_constructedtargetentryleft) + (dst_negative_scale_data_constructedtargetentryleft)))) + ((((dst_negative_code_data_constructedtargetentryleft) + (dst_negative_scale_data_constructedtargetentryleft)) * S ((dst_negative_code_data_constructedtargetentryleft) + (dst_negative_scale_data_constructedtargetentryleft)) + ((dst_negative_scale_data_constructedtargetentryleft) + (dst_negative_scale_data_constructedtargetentryleft))) + (((dst_negative_code_data_constructedtargetentryleft) + (dst_negative_scale_data_constructedtargetentryleft)) * S ((dst_negative_code_data_constructedtargetentryleft) + (dst_negative_scale_data_constructedtargetentryleft)) + ((dst_negative_scale_data_constructedtargetentryleft) + (dst_negative_scale_data_constructedtargetentryleft)))))) /\ (((((exists ff_h_pvs_data_constructedtargetentryleftpositive. ff_h_pvs_data_constructedtargetentryleftpositive + S (dst_positive_data_constructedtargetentryleft) = S ((S (dc_index_data_constructedtarget)) * dst_positive_scale_data_constructedtargetentryleft)) /\ exists ff_q_pvs_data_constructedtargetentryleftpositive. dst_positive_code_data_constructedtargetentryleft = ff_q_pvs_data_constructedtargetentryleftpositive * S ((S (dc_index_data_constructedtarget)) * dst_positive_scale_data_constructedtargetentryleft) + (dst_positive_data_constructedtargetentryleft))) /\ (((((exists ff_h_pvs_data_constructedtargetentryleftnegative. ff_h_pvs_data_constructedtargetentryleftnegative + S (dst_negative_data_constructedtargetentryleft) = S ((S (dc_index_data_constructedtarget)) * dst_negative_scale_data_constructedtargetentryleft)) /\ exists ff_q_pvs_data_constructedtargetentryleftnegative. dst_negative_code_data_constructedtargetentryleft = ff_q_pvs_data_constructedtargetentryleftnegative * S ((S (dc_index_data_constructedtarget)) * dst_negative_scale_data_constructedtargetentryleft) + (dst_negative_data_constructedtargetentryleft))) /\ (exists ge_balance_positive_data_constructedtargetentryleftvalue ge_balance_negative_data_constructedtargetentryleftvalue. (((((dc_left_data_constructedtargetentry) = 2 * (ge_balance_positive_data_constructedtargetentryleftvalue) /\ (ge_balance_negative_data_constructedtargetentryleftvalue) = 0) \/ exists ge_signed_half_data_constructedtargetentryleftvaluedecode. (((dc_left_data_constructedtargetentry) = 2 * ge_signed_half_data_constructedtargetentryleftvaluedecode + 1 /\ (ge_balance_positive_data_constructedtargetentryleftvalue) = 0) /\ (ge_balance_negative_data_constructedtargetentryleftvalue) = S ge_signed_half_data_constructedtargetentryleftvaluedecode))) /\ ((dst_positive_data_constructedtargetentryleft) + ge_balance_negative_data_constructedtargetentryleftvalue = (dst_negative_data_constructedtargetentryleft) + ge_balance_positive_data_constructedtargetentryleftvalue))))))))) /\ (((exists dst_positive_code_data_constructedtargetentryright dst_positive_scale_data_constructedtargetentryright dst_negative_code_data_constructedtargetentryright dst_negative_scale_data_constructedtargetentryright dst_positive_data_constructedtargetentryright dst_negative_data_constructedtargetentryright. (((G) = (((((dst_positive_code_data_constructedtargetentryright) + (dst_positive_scale_data_constructedtargetentryright)) * S ((dst_positive_code_data_constructedtargetentryright) + (dst_positive_scale_data_constructedtargetentryright)) + ((dst_positive_scale_data_constructedtargetentryright) + (dst_positive_scale_data_constructedtargetentryright))) + (((dst_negative_code_data_constructedtargetentryright) + (dst_negative_scale_data_constructedtargetentryright)) * S ((dst_negative_code_data_constructedtargetentryright) + (dst_negative_scale_data_constructedtargetentryright)) + ((dst_negative_scale_data_constructedtargetentryright) + (dst_negative_scale_data_constructedtargetentryright)))) * S ((((dst_positive_code_data_constructedtargetentryright) + (dst_positive_scale_data_constructedtargetentryright)) * S ((dst_positive_code_data_constructedtargetentryright) + (dst_positive_scale_data_constructedtargetentryright)) + ((dst_positive_scale_data_constructedtargetentryright) + (dst_positive_scale_data_constructedtargetentryright))) + (((dst_negative_code_data_constructedtargetentryright) + (dst_negative_scale_data_constructedtargetentryright)) * S ((dst_negative_code_data_constructedtargetentryright) + (dst_negative_scale_data_constructedtargetentryright)) + ((dst_negative_scale_data_constructedtargetentryright) + (dst_negative_scale_data_constructedtargetentryright)))) + ((((dst_negative_code_data_constructedtargetentryright) + (dst_negative_scale_data_constructedtargetentryright)) * S ((dst_negative_code_data_constructedtargetentryright) + (dst_negative_scale_data_constructedtargetentryright)) + ((dst_negative_scale_data_constructedtargetentryright) + (dst_negative_scale_data_constructedtargetentryright))) + (((dst_negative_code_data_constructedtargetentryright) + (dst_negative_scale_data_constructedtargetentryright)) * S ((dst_negative_code_data_constructedtargetentryright) + (dst_negative_scale_data_constructedtargetentryright)) + ((dst_negative_scale_data_constructedtargetentryright) + (dst_negative_scale_data_constructedtargetentryright)))))) /\ (((((exists ff_h_pvs_data_constructedtargetentryrightpositive. ff_h_pvs_data_constructedtargetentryrightpositive + S (dst_positive_data_constructedtargetentryright) = S ((S (dc_quotient_data_constructedtargetentry)) * dst_positive_scale_data_constructedtargetentryright)) /\ exists ff_q_pvs_data_constructedtargetentryrightpositive. dst_positive_code_data_constructedtargetentryright = ff_q_pvs_data_constructedtargetentryrightpositive * S ((S (dc_quotient_data_constructedtargetentry)) * dst_positive_scale_data_constructedtargetentryright) + (dst_positive_data_constructedtargetentryright))) /\ (((((exists ff_h_pvs_data_constructedtargetentryrightnegative. ff_h_pvs_data_constructedtargetentryrightnegative + S (dst_negative_data_constructedtargetentryright) = S ((S (dc_quotient_data_constructedtargetentry)) * dst_negative_scale_data_constructedtargetentryright)) /\ exists ff_q_pvs_data_constructedtargetentryrightnegative. dst_negative_code_data_constructedtargetentryright = ff_q_pvs_data_constructedtargetentryrightnegative * S ((S (dc_quotient_data_constructedtargetentry)) * dst_negative_scale_data_constructedtargetentryright) + (dst_negative_data_constructedtargetentryright))) /\ (exists ge_balance_positive_data_constructedtargetentryrightvalue ge_balance_negative_data_constructedtargetentryrightvalue. (((((dc_right_data_constructedtargetentry) = 2 * (ge_balance_positive_data_constructedtargetentryrightvalue) /\ (ge_balance_negative_data_constructedtargetentryrightvalue) = 0) \/ exists ge_signed_half_data_constructedtargetentryrightvaluedecode. (((dc_right_data_constructedtargetentry) = 2 * ge_signed_half_data_constructedtargetentryrightvaluedecode + 1 /\ (ge_balance_positive_data_constructedtargetentryrightvalue) = 0) /\ (ge_balance_negative_data_constructedtargetentryrightvalue) = S ge_signed_half_data_constructedtargetentryrightvaluedecode))) /\ ((dst_positive_data_constructedtargetentryright) + ge_balance_negative_data_constructedtargetentryrightvalue = (dst_negative_data_constructedtargetentryright) + ge_balance_positive_data_constructedtargetentryrightvalue))))))))) /\ (exists sto_ap_data_constructedtargetentryproduct sto_an_data_constructedtargetentryproduct sto_bp_data_constructedtargetentryproduct sto_bn_data_constructedtargetentryproduct sto_cp_data_constructedtargetentryproduct sto_cn_data_constructedtargetentryproduct. (((((dc_left_data_constructedtargetentry) = 2 * (sto_ap_data_constructedtargetentryproduct) /\ (sto_an_data_constructedtargetentryproduct) = 0) \/ exists ge_signed_half_data_constructedtargetentryproductleft. (((dc_left_data_constructedtargetentry) = 2 * ge_signed_half_data_constructedtargetentryproductleft + 1 /\ (sto_ap_data_constructedtargetentryproduct) = 0) /\ (sto_an_data_constructedtargetentryproduct) = S ge_signed_half_data_constructedtargetentryproductleft))) /\ ((((((dc_right_data_constructedtargetentry) = 2 * (sto_bp_data_constructedtargetentryproduct) /\ (sto_bn_data_constructedtargetentryproduct) = 0) \/ exists ge_signed_half_data_constructedtargetentryproductright. (((dc_right_data_constructedtargetentry) = 2 * ge_signed_half_data_constructedtargetentryproductright + 1 /\ (sto_bp_data_constructedtargetentryproduct) = 0) /\ (sto_bn_data_constructedtargetentryproduct) = S ge_signed_half_data_constructedtargetentryproductright))) /\ ((((((dc_value_data_constructedtarget) = 2 * (sto_cp_data_constructedtargetentryproduct) /\ (sto_cn_data_constructedtargetentryproduct) = 0) \/ exists ge_signed_half_data_constructedtargetentryproductoutput. (((dc_value_data_constructedtarget) = 2 * ge_signed_half_data_constructedtargetentryproductoutput + 1 /\ (sto_cp_data_constructedtargetentryproduct) = 0) /\ (sto_cn_data_constructedtargetentryproduct) = S ge_signed_half_data_constructedtargetentryproductoutput))) /\ ((sto_ap_data_constructedtargetentryproduct * sto_bp_data_constructedtargetentryproduct + sto_an_data_constructedtargetentryproduct * sto_bn_data_constructedtargetentryproduct) + sto_cn_data_constructedtargetentryproduct = (sto_ap_data_constructedtargetentryproduct * sto_bn_data_constructedtargetentryproduct + sto_an_data_constructedtargetentryproduct * sto_bp_data_constructedtargetentryproduct) + sto_cp_data_constructedtargetentryproduct))))))))))))))) \/ ((((dc_index_data_constructedtarget)=0 \/ ~(exists pvs_factor_data_constructedtargetentrynondivisor. ((m)*(n)) = (dc_index_data_constructedtarget) * pvs_factor_data_constructedtargetentrynondivisor)) /\ ((dc_value_data_constructedtarget)=0))))))) /\ (((~((S (n))=0)) /\ (forall dpi_index_data_constructedmap dpi_row_data_constructedmap dpi_column_data_constructedmap. (exists pvs_gap_data_constructedmapwindow. pvs_gap_data_constructedmapwindow + S (dpi_index_data_constructedmap) = ((S (m))*(S (n)))) -> (exists pvs_gap_data_constructedmapremainder. pvs_gap_data_constructedmapremainder + S (dpi_column_data_constructedmap) = (S (n))) -> (dpi_index_data_constructedmap)=(S (n))*(dpi_row_data_constructedmap)+(dpi_column_data_constructedmap) -> (((exists ff_h_pvs_data_constructedmapvalue. ff_h_pvs_data_constructedmapvalue + S ((dpi_row_data_constructedmap)*(dpi_column_data_constructedmap)) = S ((S (dpi_index_data_constructedmap)) * s)) /\ exists ff_q_pvs_data_constructedmapvalue. r = ff_q_pvs_data_constructedmapvalue * S ((S (dpi_index_data_constructedmap)) * s) + ((dpi_row_data_constructedmap)*(dpi_column_data_constructedmap))))))))))))))))))))))))))))