dirichlet_multiplicative_pair_factorization

Exact expanded first-order arithmetic statement

forall N F G m n d e left right total. (((~((N)=0)) /\ (((exists dst_positive_code_factor_Ftable dst_positive_scale_factor_Ftable dst_negative_code_factor_Ftable dst_negative_scale_factor_Ftable. (((F) = (((((dst_positive_code_factor_Ftable) + (dst_positive_scale_factor_Ftable)) * S ((dst_positive_code_factor_Ftable) + (dst_positive_scale_factor_Ftable)) + ((dst_positive_scale_factor_Ftable) + (dst_positive_scale_factor_Ftable))) + (((dst_negative_code_factor_Ftable) + (dst_negative_scale_factor_Ftable)) * S ((dst_negative_code_factor_Ftable) + (dst_negative_scale_factor_Ftable)) + ((dst_negative_scale_factor_Ftable) + (dst_negative_scale_factor_Ftable)))) * S ((((dst_positive_code_factor_Ftable) + (dst_positive_scale_factor_Ftable)) * S ((dst_positive_code_factor_Ftable) + (dst_positive_scale_factor_Ftable)) + ((dst_positive_scale_factor_Ftable) + (dst_positive_scale_factor_Ftable))) + (((dst_negative_code_factor_Ftable) + (dst_negative_scale_factor_Ftable)) * S ((dst_negative_code_factor_Ftable) + (dst_negative_scale_factor_Ftable)) + ((dst_negative_scale_factor_Ftable) + (dst_negative_scale_factor_Ftable)))) + ((((dst_negative_code_factor_Ftable) + (dst_negative_scale_factor_Ftable)) * S ((dst_negative_code_factor_Ftable) + (dst_negative_scale_factor_Ftable)) + ((dst_negative_scale_factor_Ftable) + (dst_negative_scale_factor_Ftable))) + (((dst_negative_code_factor_Ftable) + (dst_negative_scale_factor_Ftable)) * S ((dst_negative_code_factor_Ftable) + (dst_negative_scale_factor_Ftable)) + ((dst_negative_scale_factor_Ftable) + (dst_negative_scale_factor_Ftable)))))) /\ (forall dst_index_factor_Ftable. (exists pvs_le_gap_factor_Ftabledomain. pvs_le_gap_factor_Ftabledomain + (dst_index_factor_Ftable) = (N)) -> exists dst_positive_factor_Ftable dst_negative_factor_Ftable dst_value_factor_Ftable. ((((exists ff_h_pvs_factor_Ftableentrypositive. ff_h_pvs_factor_Ftableentrypositive + S (dst_positive_factor_Ftable) = S ((S (dst_index_factor_Ftable)) * dst_positive_scale_factor_Ftable)) /\ exists ff_q_pvs_factor_Ftableentrypositive. dst_positive_code_factor_Ftable = ff_q_pvs_factor_Ftableentrypositive * S ((S (dst_index_factor_Ftable)) * dst_positive_scale_factor_Ftable) + (dst_positive_factor_Ftable))) /\ (((((exists ff_h_pvs_factor_Ftableentrynegative. ff_h_pvs_factor_Ftableentrynegative + S (dst_negative_factor_Ftable) = S ((S (dst_index_factor_Ftable)) * dst_negative_scale_factor_Ftable)) /\ exists ff_q_pvs_factor_Ftableentrynegative. dst_negative_code_factor_Ftable = ff_q_pvs_factor_Ftableentrynegative * S ((S (dst_index_factor_Ftable)) * dst_negative_scale_factor_Ftable) + (dst_negative_factor_Ftable))) /\ (exists ge_balance_positive_factor_Ftableentryvalue ge_balance_negative_factor_Ftableentryvalue. (((((dst_value_factor_Ftable) = 2 * (ge_balance_positive_factor_Ftableentryvalue) /\ (ge_balance_negative_factor_Ftableentryvalue) = 0) \/ exists ge_signed_half_factor_Ftableentryvaluedecode. (((dst_value_factor_Ftable) = 2 * ge_signed_half_factor_Ftableentryvaluedecode + 1 /\ (ge_balance_positive_factor_Ftableentryvalue) = 0) /\ (ge_balance_negative_factor_Ftableentryvalue) = S ge_signed_half_factor_Ftableentryvaluedecode))) /\ ((dst_positive_factor_Ftable) + ge_balance_negative_factor_Ftableentryvalue = (dst_negative_factor_Ftable) + ge_balance_positive_factor_Ftableentryvalue))))))))) /\ (((exists dst_positive_code_factor_Fone dst_positive_scale_factor_Fone dst_negative_code_factor_Fone dst_negative_scale_factor_Fone dst_positive_factor_Fone dst_negative_factor_Fone. (((F) = (((((dst_positive_code_factor_Fone) + (dst_positive_scale_factor_Fone)) * S ((dst_positive_code_factor_Fone) + (dst_positive_scale_factor_Fone)) + ((dst_positive_scale_factor_Fone) + (dst_positive_scale_factor_Fone))) + (((dst_negative_code_factor_Fone) + (dst_negative_scale_factor_Fone)) * S ((dst_negative_code_factor_Fone) + (dst_negative_scale_factor_Fone)) + ((dst_negative_scale_factor_Fone) + (dst_negative_scale_factor_Fone)))) * S ((((dst_positive_code_factor_Fone) + (dst_positive_scale_factor_Fone)) * S ((dst_positive_code_factor_Fone) + (dst_positive_scale_factor_Fone)) + ((dst_positive_scale_factor_Fone) + (dst_positive_scale_factor_Fone))) + (((dst_negative_code_factor_Fone) + (dst_negative_scale_factor_Fone)) * S ((dst_negative_code_factor_Fone) + (dst_negative_scale_factor_Fone)) + ((dst_negative_scale_factor_Fone) + (dst_negative_scale_factor_Fone)))) + ((((dst_negative_code_factor_Fone) + (dst_negative_scale_factor_Fone)) * S ((dst_negative_code_factor_Fone) + (dst_negative_scale_factor_Fone)) + ((dst_negative_scale_factor_Fone) + (dst_negative_scale_factor_Fone))) + (((dst_negative_code_factor_Fone) + (dst_negative_scale_factor_Fone)) * S ((dst_negative_code_factor_Fone) + (dst_negative_scale_factor_Fone)) + ((dst_negative_scale_factor_Fone) + (dst_negative_scale_factor_Fone)))))) /\ (((((exists ff_h_pvs_factor_Fonepositive. ff_h_pvs_factor_Fonepositive + S (dst_positive_factor_Fone) = S ((S (1)) * dst_positive_scale_factor_Fone)) /\ exists ff_q_pvs_factor_Fonepositive. dst_positive_code_factor_Fone = ff_q_pvs_factor_Fonepositive * S ((S (1)) * dst_positive_scale_factor_Fone) + (dst_positive_factor_Fone))) /\ (((((exists ff_h_pvs_factor_Fonenegative. ff_h_pvs_factor_Fonenegative + S (dst_negative_factor_Fone) = S ((S (1)) * dst_negative_scale_factor_Fone)) /\ exists ff_q_pvs_factor_Fonenegative. dst_negative_code_factor_Fone = ff_q_pvs_factor_Fonenegative * S ((S (1)) * dst_negative_scale_factor_Fone) + (dst_negative_factor_Fone))) /\ (exists ge_balance_positive_factor_Fonevalue ge_balance_negative_factor_Fonevalue. (((((2) = 2 * (ge_balance_positive_factor_Fonevalue) /\ (ge_balance_negative_factor_Fonevalue) = 0) \/ exists ge_signed_half_factor_Fonevaluedecode. (((2) = 2 * ge_signed_half_factor_Fonevaluedecode + 1 /\ (ge_balance_positive_factor_Fonevalue) = 0) /\ (ge_balance_negative_factor_Fonevalue) = S ge_signed_half_factor_Fonevaluedecode))) /\ ((dst_positive_factor_Fone) + ge_balance_negative_factor_Fonevalue = (dst_negative_factor_Fone) + ge_balance_positive_factor_Fonevalue))))))))) /\ (forall mp_a_factor_F mp_b_factor_F mp_x_factor_F mp_y_factor_F mp_z_factor_F. ~(mp_a_factor_F=0) -> ~(mp_b_factor_F=0) -> (exists pvs_le_gap_factor_Fbound. pvs_le_gap_factor_Fbound + (mp_a_factor_F*mp_b_factor_F) = (N)) -> (forall frp_divisor_factor_Fcoprime. (exists frp_left_factor_factor_Fcoprime. mp_a_factor_F = frp_divisor_factor_Fcoprime * frp_left_factor_factor_Fcoprime) -> (exists frp_right_factor_factor_Fcoprime. mp_b_factor_F = frp_divisor_factor_Fcoprime * frp_right_factor_factor_Fcoprime) -> frp_divisor_factor_Fcoprime = 1) -> (exists dst_positive_code_factor_Ffirst dst_positive_scale_factor_Ffirst dst_negative_code_factor_Ffirst dst_negative_scale_factor_Ffirst dst_positive_factor_Ffirst dst_negative_factor_Ffirst. (((F) = (((((dst_positive_code_factor_Ffirst) + (dst_positive_scale_factor_Ffirst)) * S ((dst_positive_code_factor_Ffirst) + (dst_positive_scale_factor_Ffirst)) + ((dst_positive_scale_factor_Ffirst) + (dst_positive_scale_factor_Ffirst))) + (((dst_negative_code_factor_Ffirst) + (dst_negative_scale_factor_Ffirst)) * S ((dst_negative_code_factor_Ffirst) + (dst_negative_scale_factor_Ffirst)) + ((dst_negative_scale_factor_Ffirst) + (dst_negative_scale_factor_Ffirst)))) * S ((((dst_positive_code_factor_Ffirst) + (dst_positive_scale_factor_Ffirst)) * S ((dst_positive_code_factor_Ffirst) + (dst_positive_scale_factor_Ffirst)) + ((dst_positive_scale_factor_Ffirst) + (dst_positive_scale_factor_Ffirst))) + (((dst_negative_code_factor_Ffirst) + (dst_negative_scale_factor_Ffirst)) * S ((dst_negative_code_factor_Ffirst) + (dst_negative_scale_factor_Ffirst)) + ((dst_negative_scale_factor_Ffirst) + (dst_negative_scale_factor_Ffirst)))) + ((((dst_negative_code_factor_Ffirst) + (dst_negative_scale_factor_Ffirst)) * S ((dst_negative_code_factor_Ffirst) + (dst_negative_scale_factor_Ffirst)) + ((dst_negative_scale_factor_Ffirst) + (dst_negative_scale_factor_Ffirst))) + (((dst_negative_code_factor_Ffirst) + (dst_negative_scale_factor_Ffirst)) * S ((dst_negative_code_factor_Ffirst) + (dst_negative_scale_factor_Ffirst)) + ((dst_negative_scale_factor_Ffirst) + (dst_negative_scale_factor_Ffirst)))))) /\ (((((exists ff_h_pvs_factor_Ffirstpositive. ff_h_pvs_factor_Ffirstpositive + S (dst_positive_factor_Ffirst) = S ((S (mp_a_factor_F)) * dst_positive_scale_factor_Ffirst)) /\ exists ff_q_pvs_factor_Ffirstpositive. dst_positive_code_factor_Ffirst = ff_q_pvs_factor_Ffirstpositive * S ((S (mp_a_factor_F)) * dst_positive_scale_factor_Ffirst) + (dst_positive_factor_Ffirst))) /\ (((((exists ff_h_pvs_factor_Ffirstnegative. ff_h_pvs_factor_Ffirstnegative + S (dst_negative_factor_Ffirst) = S ((S (mp_a_factor_F)) * dst_negative_scale_factor_Ffirst)) /\ exists ff_q_pvs_factor_Ffirstnegative. dst_negative_code_factor_Ffirst = ff_q_pvs_factor_Ffirstnegative * S ((S (mp_a_factor_F)) * dst_negative_scale_factor_Ffirst) + (dst_negative_factor_Ffirst))) /\ (exists ge_balance_positive_factor_Ffirstvalue ge_balance_negative_factor_Ffirstvalue. (((((mp_x_factor_F) = 2 * (ge_balance_positive_factor_Ffirstvalue) /\ (ge_balance_negative_factor_Ffirstvalue) = 0) \/ exists ge_signed_half_factor_Ffirstvaluedecode. (((mp_x_factor_F) = 2 * ge_signed_half_factor_Ffirstvaluedecode + 1 /\ (ge_balance_positive_factor_Ffirstvalue) = 0) /\ (ge_balance_negative_factor_Ffirstvalue) = S ge_signed_half_factor_Ffirstvaluedecode))) /\ ((dst_positive_factor_Ffirst) + ge_balance_negative_factor_Ffirstvalue = (dst_negative_factor_Ffirst) + ge_balance_positive_factor_Ffirstvalue))))))))) -> (exists dst_positive_code_factor_Fsecond dst_positive_scale_factor_Fsecond dst_negative_code_factor_Fsecond dst_negative_scale_factor_Fsecond dst_positive_factor_Fsecond dst_negative_factor_Fsecond. (((F) = (((((dst_positive_code_factor_Fsecond) + (dst_positive_scale_factor_Fsecond)) * S ((dst_positive_code_factor_Fsecond) + (dst_positive_scale_factor_Fsecond)) + ((dst_positive_scale_factor_Fsecond) + (dst_positive_scale_factor_Fsecond))) + (((dst_negative_code_factor_Fsecond) + (dst_negative_scale_factor_Fsecond)) * S ((dst_negative_code_factor_Fsecond) + (dst_negative_scale_factor_Fsecond)) + ((dst_negative_scale_factor_Fsecond) + (dst_negative_scale_factor_Fsecond)))) * S ((((dst_positive_code_factor_Fsecond) + (dst_positive_scale_factor_Fsecond)) * S ((dst_positive_code_factor_Fsecond) + (dst_positive_scale_factor_Fsecond)) + ((dst_positive_scale_factor_Fsecond) + (dst_positive_scale_factor_Fsecond))) + (((dst_negative_code_factor_Fsecond) + (dst_negative_scale_factor_Fsecond)) * S ((dst_negative_code_factor_Fsecond) + (dst_negative_scale_factor_Fsecond)) + ((dst_negative_scale_factor_Fsecond) + (dst_negative_scale_factor_Fsecond)))) + ((((dst_negative_code_factor_Fsecond) + (dst_negative_scale_factor_Fsecond)) * S ((dst_negative_code_factor_Fsecond) + (dst_negative_scale_factor_Fsecond)) + ((dst_negative_scale_factor_Fsecond) + (dst_negative_scale_factor_Fsecond))) + (((dst_negative_code_factor_Fsecond) + (dst_negative_scale_factor_Fsecond)) * S ((dst_negative_code_factor_Fsecond) + (dst_negative_scale_factor_Fsecond)) + ((dst_negative_scale_factor_Fsecond) + (dst_negative_scale_factor_Fsecond)))))) /\ (((((exists ff_h_pvs_factor_Fsecondpositive. ff_h_pvs_factor_Fsecondpositive + S (dst_positive_factor_Fsecond) = S ((S (mp_b_factor_F)) * dst_positive_scale_factor_Fsecond)) /\ exists ff_q_pvs_factor_Fsecondpositive. dst_positive_code_factor_Fsecond = ff_q_pvs_factor_Fsecondpositive * S ((S (mp_b_factor_F)) * dst_positive_scale_factor_Fsecond) + (dst_positive_factor_Fsecond))) /\ (((((exists ff_h_pvs_factor_Fsecondnegative. ff_h_pvs_factor_Fsecondnegative + S (dst_negative_factor_Fsecond) = S ((S (mp_b_factor_F)) * dst_negative_scale_factor_Fsecond)) /\ exists ff_q_pvs_factor_Fsecondnegative. dst_negative_code_factor_Fsecond = ff_q_pvs_factor_Fsecondnegative * S ((S (mp_b_factor_F)) * dst_negative_scale_factor_Fsecond) + (dst_negative_factor_Fsecond))) /\ (exists ge_balance_positive_factor_Fsecondvalue ge_balance_negative_factor_Fsecondvalue. (((((mp_y_factor_F) = 2 * (ge_balance_positive_factor_Fsecondvalue) /\ (ge_balance_negative_factor_Fsecondvalue) = 0) \/ exists ge_signed_half_factor_Fsecondvaluedecode. (((mp_y_factor_F) = 2 * ge_signed_half_factor_Fsecondvaluedecode + 1 /\ (ge_balance_positive_factor_Fsecondvalue) = 0) /\ (ge_balance_negative_factor_Fsecondvalue) = S ge_signed_half_factor_Fsecondvaluedecode))) /\ ((dst_positive_factor_Fsecond) + ge_balance_negative_factor_Fsecondvalue = (dst_negative_factor_Fsecond) + ge_balance_positive_factor_Fsecondvalue))))))))) -> (exists dst_positive_code_factor_Fproduct dst_positive_scale_factor_Fproduct dst_negative_code_factor_Fproduct dst_negative_scale_factor_Fproduct dst_positive_factor_Fproduct dst_negative_factor_Fproduct. (((F) = (((((dst_positive_code_factor_Fproduct) + (dst_positive_scale_factor_Fproduct)) * S ((dst_positive_code_factor_Fproduct) + (dst_positive_scale_factor_Fproduct)) + ((dst_positive_scale_factor_Fproduct) + (dst_positive_scale_factor_Fproduct))) + (((dst_negative_code_factor_Fproduct) + (dst_negative_scale_factor_Fproduct)) * S ((dst_negative_code_factor_Fproduct) + (dst_negative_scale_factor_Fproduct)) + ((dst_negative_scale_factor_Fproduct) + (dst_negative_scale_factor_Fproduct)))) * S ((((dst_positive_code_factor_Fproduct) + (dst_positive_scale_factor_Fproduct)) * S ((dst_positive_code_factor_Fproduct) + (dst_positive_scale_factor_Fproduct)) + ((dst_positive_scale_factor_Fproduct) + (dst_positive_scale_factor_Fproduct))) + (((dst_negative_code_factor_Fproduct) + (dst_negative_scale_factor_Fproduct)) * S ((dst_negative_code_factor_Fproduct) + (dst_negative_scale_factor_Fproduct)) + ((dst_negative_scale_factor_Fproduct) + (dst_negative_scale_factor_Fproduct)))) + ((((dst_negative_code_factor_Fproduct) + (dst_negative_scale_factor_Fproduct)) * S ((dst_negative_code_factor_Fproduct) + (dst_negative_scale_factor_Fproduct)) + ((dst_negative_scale_factor_Fproduct) + (dst_negative_scale_factor_Fproduct))) + (((dst_negative_code_factor_Fproduct) + (dst_negative_scale_factor_Fproduct)) * S ((dst_negative_code_factor_Fproduct) + (dst_negative_scale_factor_Fproduct)) + ((dst_negative_scale_factor_Fproduct) + (dst_negative_scale_factor_Fproduct)))))) /\ (((((exists ff_h_pvs_factor_Fproductpositive. ff_h_pvs_factor_Fproductpositive + S (dst_positive_factor_Fproduct) = S ((S (mp_a_factor_F*mp_b_factor_F)) * dst_positive_scale_factor_Fproduct)) /\ exists ff_q_pvs_factor_Fproductpositive. dst_positive_code_factor_Fproduct = ff_q_pvs_factor_Fproductpositive * S ((S (mp_a_factor_F*mp_b_factor_F)) * dst_positive_scale_factor_Fproduct) + (dst_positive_factor_Fproduct))) /\ (((((exists ff_h_pvs_factor_Fproductnegative. ff_h_pvs_factor_Fproductnegative + S (dst_negative_factor_Fproduct) = S ((S (mp_a_factor_F*mp_b_factor_F)) * dst_negative_scale_factor_Fproduct)) /\ exists ff_q_pvs_factor_Fproductnegative. dst_negative_code_factor_Fproduct = ff_q_pvs_factor_Fproductnegative * S ((S (mp_a_factor_F*mp_b_factor_F)) * dst_negative_scale_factor_Fproduct) + (dst_negative_factor_Fproduct))) /\ (exists ge_balance_positive_factor_Fproductvalue ge_balance_negative_factor_Fproductvalue. (((((mp_z_factor_F) = 2 * (ge_balance_positive_factor_Fproductvalue) /\ (ge_balance_negative_factor_Fproductvalue) = 0) \/ exists ge_signed_half_factor_Fproductvaluedecode. (((mp_z_factor_F) = 2 * ge_signed_half_factor_Fproductvaluedecode + 1 /\ (ge_balance_positive_factor_Fproductvalue) = 0) /\ (ge_balance_negative_factor_Fproductvalue) = S ge_signed_half_factor_Fproductvaluedecode))) /\ ((dst_positive_factor_Fproduct) + ge_balance_negative_factor_Fproductvalue = (dst_negative_factor_Fproduct) + ge_balance_positive_factor_Fproductvalue))))))))) -> (exists sto_ap_factor_Flaw sto_an_factor_Flaw sto_bp_factor_Flaw sto_bn_factor_Flaw sto_cp_factor_Flaw sto_cn_factor_Flaw. (((((mp_x_factor_F) = 2 * (sto_ap_factor_Flaw) /\ (sto_an_factor_Flaw) = 0) \/ exists ge_signed_half_factor_Flawleft. (((mp_x_factor_F) = 2 * ge_signed_half_factor_Flawleft + 1 /\ (sto_ap_factor_Flaw) = 0) /\ (sto_an_factor_Flaw) = S ge_signed_half_factor_Flawleft))) /\ ((((((mp_y_factor_F) = 2 * (sto_bp_factor_Flaw) /\ (sto_bn_factor_Flaw) = 0) \/ exists ge_signed_half_factor_Flawright. (((mp_y_factor_F) = 2 * ge_signed_half_factor_Flawright + 1 /\ (sto_bp_factor_Flaw) = 0) /\ (sto_bn_factor_Flaw) = S ge_signed_half_factor_Flawright))) /\ ((((((mp_z_factor_F) = 2 * (sto_cp_factor_Flaw) /\ (sto_cn_factor_Flaw) = 0) \/ exists ge_signed_half_factor_Flawoutput. (((mp_z_factor_F) = 2 * ge_signed_half_factor_Flawoutput + 1 /\ (sto_cp_factor_Flaw) = 0) /\ (sto_cn_factor_Flaw) = S ge_signed_half_factor_Flawoutput))) /\ ((sto_ap_factor_Flaw * sto_bp_factor_Flaw + sto_an_factor_Flaw * sto_bn_factor_Flaw) + sto_cn_factor_Flaw = (sto_ap_factor_Flaw * sto_bn_factor_Flaw + sto_an_factor_Flaw * sto_bp_factor_Flaw) + sto_cp_factor_Flaw)))))))))))))) -> (((~((N)=0)) /\ (((exists dst_positive_code_factor_Gtable dst_positive_scale_factor_Gtable dst_negative_code_factor_Gtable dst_negative_scale_factor_Gtable. (((G) = (((((dst_positive_code_factor_Gtable) + (dst_positive_scale_factor_Gtable)) * S ((dst_positive_code_factor_Gtable) + (dst_positive_scale_factor_Gtable)) + ((dst_positive_scale_factor_Gtable) + (dst_positive_scale_factor_Gtable))) + (((dst_negative_code_factor_Gtable) + (dst_negative_scale_factor_Gtable)) * S ((dst_negative_code_factor_Gtable) + (dst_negative_scale_factor_Gtable)) + ((dst_negative_scale_factor_Gtable) + (dst_negative_scale_factor_Gtable)))) * S ((((dst_positive_code_factor_Gtable) + (dst_positive_scale_factor_Gtable)) * S ((dst_positive_code_factor_Gtable) + (dst_positive_scale_factor_Gtable)) + ((dst_positive_scale_factor_Gtable) + (dst_positive_scale_factor_Gtable))) + (((dst_negative_code_factor_Gtable) + (dst_negative_scale_factor_Gtable)) * S ((dst_negative_code_factor_Gtable) + (dst_negative_scale_factor_Gtable)) + ((dst_negative_scale_factor_Gtable) + (dst_negative_scale_factor_Gtable)))) + ((((dst_negative_code_factor_Gtable) + (dst_negative_scale_factor_Gtable)) * S ((dst_negative_code_factor_Gtable) + (dst_negative_scale_factor_Gtable)) + ((dst_negative_scale_factor_Gtable) + (dst_negative_scale_factor_Gtable))) + (((dst_negative_code_factor_Gtable) + (dst_negative_scale_factor_Gtable)) * S ((dst_negative_code_factor_Gtable) + (dst_negative_scale_factor_Gtable)) + ((dst_negative_scale_factor_Gtable) + (dst_negative_scale_factor_Gtable)))))) /\ (forall dst_index_factor_Gtable. (exists pvs_le_gap_factor_Gtabledomain. pvs_le_gap_factor_Gtabledomain + (dst_index_factor_Gtable) = (N)) -> exists dst_positive_factor_Gtable dst_negative_factor_Gtable dst_value_factor_Gtable. ((((exists ff_h_pvs_factor_Gtableentrypositive. ff_h_pvs_factor_Gtableentrypositive + S (dst_positive_factor_Gtable) = S ((S (dst_index_factor_Gtable)) * dst_positive_scale_factor_Gtable)) /\ exists ff_q_pvs_factor_Gtableentrypositive. dst_positive_code_factor_Gtable = ff_q_pvs_factor_Gtableentrypositive * S ((S (dst_index_factor_Gtable)) * dst_positive_scale_factor_Gtable) + (dst_positive_factor_Gtable))) /\ (((((exists ff_h_pvs_factor_Gtableentrynegative. ff_h_pvs_factor_Gtableentrynegative + S (dst_negative_factor_Gtable) = S ((S (dst_index_factor_Gtable)) * dst_negative_scale_factor_Gtable)) /\ exists ff_q_pvs_factor_Gtableentrynegative. dst_negative_code_factor_Gtable = ff_q_pvs_factor_Gtableentrynegative * S ((S (dst_index_factor_Gtable)) * dst_negative_scale_factor_Gtable) + (dst_negative_factor_Gtable))) /\ (exists ge_balance_positive_factor_Gtableentryvalue ge_balance_negative_factor_Gtableentryvalue. (((((dst_value_factor_Gtable) = 2 * (ge_balance_positive_factor_Gtableentryvalue) /\ (ge_balance_negative_factor_Gtableentryvalue) = 0) \/ exists ge_signed_half_factor_Gtableentryvaluedecode. (((dst_value_factor_Gtable) = 2 * ge_signed_half_factor_Gtableentryvaluedecode + 1 /\ (ge_balance_positive_factor_Gtableentryvalue) = 0) /\ (ge_balance_negative_factor_Gtableentryvalue) = S ge_signed_half_factor_Gtableentryvaluedecode))) /\ ((dst_positive_factor_Gtable) + ge_balance_negative_factor_Gtableentryvalue = (dst_negative_factor_Gtable) + ge_balance_positive_factor_Gtableentryvalue))))))))) /\ (((exists dst_positive_code_factor_Gone dst_positive_scale_factor_Gone dst_negative_code_factor_Gone dst_negative_scale_factor_Gone dst_positive_factor_Gone dst_negative_factor_Gone. (((G) = (((((dst_positive_code_factor_Gone) + (dst_positive_scale_factor_Gone)) * S ((dst_positive_code_factor_Gone) + (dst_positive_scale_factor_Gone)) + ((dst_positive_scale_factor_Gone) + (dst_positive_scale_factor_Gone))) + (((dst_negative_code_factor_Gone) + (dst_negative_scale_factor_Gone)) * S ((dst_negative_code_factor_Gone) + (dst_negative_scale_factor_Gone)) + ((dst_negative_scale_factor_Gone) + (dst_negative_scale_factor_Gone)))) * S ((((dst_positive_code_factor_Gone) + (dst_positive_scale_factor_Gone)) * S ((dst_positive_code_factor_Gone) + (dst_positive_scale_factor_Gone)) + ((dst_positive_scale_factor_Gone) + (dst_positive_scale_factor_Gone))) + (((dst_negative_code_factor_Gone) + (dst_negative_scale_factor_Gone)) * S ((dst_negative_code_factor_Gone) + (dst_negative_scale_factor_Gone)) + ((dst_negative_scale_factor_Gone) + (dst_negative_scale_factor_Gone)))) + ((((dst_negative_code_factor_Gone) + (dst_negative_scale_factor_Gone)) * S ((dst_negative_code_factor_Gone) + (dst_negative_scale_factor_Gone)) + ((dst_negative_scale_factor_Gone) + (dst_negative_scale_factor_Gone))) + (((dst_negative_code_factor_Gone) + (dst_negative_scale_factor_Gone)) * S ((dst_negative_code_factor_Gone) + (dst_negative_scale_factor_Gone)) + ((dst_negative_scale_factor_Gone) + (dst_negative_scale_factor_Gone)))))) /\ (((((exists ff_h_pvs_factor_Gonepositive. ff_h_pvs_factor_Gonepositive + S (dst_positive_factor_Gone) = S ((S (1)) * dst_positive_scale_factor_Gone)) /\ exists ff_q_pvs_factor_Gonepositive. dst_positive_code_factor_Gone = ff_q_pvs_factor_Gonepositive * S ((S (1)) * dst_positive_scale_factor_Gone) + (dst_positive_factor_Gone))) /\ (((((exists ff_h_pvs_factor_Gonenegative. ff_h_pvs_factor_Gonenegative + S (dst_negative_factor_Gone) = S ((S (1)) * dst_negative_scale_factor_Gone)) /\ exists ff_q_pvs_factor_Gonenegative. dst_negative_code_factor_Gone = ff_q_pvs_factor_Gonenegative * S ((S (1)) * dst_negative_scale_factor_Gone) + (dst_negative_factor_Gone))) /\ (exists ge_balance_positive_factor_Gonevalue ge_balance_negative_factor_Gonevalue. (((((2) = 2 * (ge_balance_positive_factor_Gonevalue) /\ (ge_balance_negative_factor_Gonevalue) = 0) \/ exists ge_signed_half_factor_Gonevaluedecode. (((2) = 2 * ge_signed_half_factor_Gonevaluedecode + 1 /\ (ge_balance_positive_factor_Gonevalue) = 0) /\ (ge_balance_negative_factor_Gonevalue) = S ge_signed_half_factor_Gonevaluedecode))) /\ ((dst_positive_factor_Gone) + ge_balance_negative_factor_Gonevalue = (dst_negative_factor_Gone) + ge_balance_positive_factor_Gonevalue))))))))) /\ (forall mp_a_factor_G mp_b_factor_G mp_x_factor_G mp_y_factor_G mp_z_factor_G. ~(mp_a_factor_G=0) -> ~(mp_b_factor_G=0) -> (exists pvs_le_gap_factor_Gbound. pvs_le_gap_factor_Gbound + (mp_a_factor_G*mp_b_factor_G) = (N)) -> (forall frp_divisor_factor_Gcoprime. (exists frp_left_factor_factor_Gcoprime. mp_a_factor_G = frp_divisor_factor_Gcoprime * frp_left_factor_factor_Gcoprime) -> (exists frp_right_factor_factor_Gcoprime. mp_b_factor_G = frp_divisor_factor_Gcoprime * frp_right_factor_factor_Gcoprime) -> frp_divisor_factor_Gcoprime = 1) -> (exists dst_positive_code_factor_Gfirst dst_positive_scale_factor_Gfirst dst_negative_code_factor_Gfirst dst_negative_scale_factor_Gfirst dst_positive_factor_Gfirst dst_negative_factor_Gfirst. (((G) = (((((dst_positive_code_factor_Gfirst) + (dst_positive_scale_factor_Gfirst)) * S ((dst_positive_code_factor_Gfirst) + (dst_positive_scale_factor_Gfirst)) + ((dst_positive_scale_factor_Gfirst) + (dst_positive_scale_factor_Gfirst))) + (((dst_negative_code_factor_Gfirst) + (dst_negative_scale_factor_Gfirst)) * S ((dst_negative_code_factor_Gfirst) + (dst_negative_scale_factor_Gfirst)) + ((dst_negative_scale_factor_Gfirst) + (dst_negative_scale_factor_Gfirst)))) * S ((((dst_positive_code_factor_Gfirst) + (dst_positive_scale_factor_Gfirst)) * S ((dst_positive_code_factor_Gfirst) + (dst_positive_scale_factor_Gfirst)) + ((dst_positive_scale_factor_Gfirst) + (dst_positive_scale_factor_Gfirst))) + (((dst_negative_code_factor_Gfirst) + (dst_negative_scale_factor_Gfirst)) * S ((dst_negative_code_factor_Gfirst) + (dst_negative_scale_factor_Gfirst)) + ((dst_negative_scale_factor_Gfirst) + (dst_negative_scale_factor_Gfirst)))) + ((((dst_negative_code_factor_Gfirst) + (dst_negative_scale_factor_Gfirst)) * S ((dst_negative_code_factor_Gfirst) + (dst_negative_scale_factor_Gfirst)) + ((dst_negative_scale_factor_Gfirst) + (dst_negative_scale_factor_Gfirst))) + (((dst_negative_code_factor_Gfirst) + (dst_negative_scale_factor_Gfirst)) * S ((dst_negative_code_factor_Gfirst) + (dst_negative_scale_factor_Gfirst)) + ((dst_negative_scale_factor_Gfirst) + (dst_negative_scale_factor_Gfirst)))))) /\ (((((exists ff_h_pvs_factor_Gfirstpositive. ff_h_pvs_factor_Gfirstpositive + S (dst_positive_factor_Gfirst) = S ((S (mp_a_factor_G)) * dst_positive_scale_factor_Gfirst)) /\ exists ff_q_pvs_factor_Gfirstpositive. dst_positive_code_factor_Gfirst = ff_q_pvs_factor_Gfirstpositive * S ((S (mp_a_factor_G)) * dst_positive_scale_factor_Gfirst) + (dst_positive_factor_Gfirst))) /\ (((((exists ff_h_pvs_factor_Gfirstnegative. ff_h_pvs_factor_Gfirstnegative + S (dst_negative_factor_Gfirst) = S ((S (mp_a_factor_G)) * dst_negative_scale_factor_Gfirst)) /\ exists ff_q_pvs_factor_Gfirstnegative. dst_negative_code_factor_Gfirst = ff_q_pvs_factor_Gfirstnegative * S ((S (mp_a_factor_G)) * dst_negative_scale_factor_Gfirst) + (dst_negative_factor_Gfirst))) /\ (exists ge_balance_positive_factor_Gfirstvalue ge_balance_negative_factor_Gfirstvalue. (((((mp_x_factor_G) = 2 * (ge_balance_positive_factor_Gfirstvalue) /\ (ge_balance_negative_factor_Gfirstvalue) = 0) \/ exists ge_signed_half_factor_Gfirstvaluedecode. (((mp_x_factor_G) = 2 * ge_signed_half_factor_Gfirstvaluedecode + 1 /\ (ge_balance_positive_factor_Gfirstvalue) = 0) /\ (ge_balance_negative_factor_Gfirstvalue) = S ge_signed_half_factor_Gfirstvaluedecode))) /\ ((dst_positive_factor_Gfirst) + ge_balance_negative_factor_Gfirstvalue = (dst_negative_factor_Gfirst) + ge_balance_positive_factor_Gfirstvalue))))))))) -> (exists dst_positive_code_factor_Gsecond dst_positive_scale_factor_Gsecond dst_negative_code_factor_Gsecond dst_negative_scale_factor_Gsecond dst_positive_factor_Gsecond dst_negative_factor_Gsecond. (((G) = (((((dst_positive_code_factor_Gsecond) + (dst_positive_scale_factor_Gsecond)) * S ((dst_positive_code_factor_Gsecond) + (dst_positive_scale_factor_Gsecond)) + ((dst_positive_scale_factor_Gsecond) + (dst_positive_scale_factor_Gsecond))) + (((dst_negative_code_factor_Gsecond) + (dst_negative_scale_factor_Gsecond)) * S ((dst_negative_code_factor_Gsecond) + (dst_negative_scale_factor_Gsecond)) + ((dst_negative_scale_factor_Gsecond) + (dst_negative_scale_factor_Gsecond)))) * S ((((dst_positive_code_factor_Gsecond) + (dst_positive_scale_factor_Gsecond)) * S ((dst_positive_code_factor_Gsecond) + (dst_positive_scale_factor_Gsecond)) + ((dst_positive_scale_factor_Gsecond) + (dst_positive_scale_factor_Gsecond))) + (((dst_negative_code_factor_Gsecond) + (dst_negative_scale_factor_Gsecond)) * S ((dst_negative_code_factor_Gsecond) + (dst_negative_scale_factor_Gsecond)) + ((dst_negative_scale_factor_Gsecond) + (dst_negative_scale_factor_Gsecond)))) + ((((dst_negative_code_factor_Gsecond) + (dst_negative_scale_factor_Gsecond)) * S ((dst_negative_code_factor_Gsecond) + (dst_negative_scale_factor_Gsecond)) + ((dst_negative_scale_factor_Gsecond) + (dst_negative_scale_factor_Gsecond))) + (((dst_negative_code_factor_Gsecond) + (dst_negative_scale_factor_Gsecond)) * S ((dst_negative_code_factor_Gsecond) + (dst_negative_scale_factor_Gsecond)) + ((dst_negative_scale_factor_Gsecond) + (dst_negative_scale_factor_Gsecond)))))) /\ (((((exists ff_h_pvs_factor_Gsecondpositive. ff_h_pvs_factor_Gsecondpositive + S (dst_positive_factor_Gsecond) = S ((S (mp_b_factor_G)) * dst_positive_scale_factor_Gsecond)) /\ exists ff_q_pvs_factor_Gsecondpositive. dst_positive_code_factor_Gsecond = ff_q_pvs_factor_Gsecondpositive * S ((S (mp_b_factor_G)) * dst_positive_scale_factor_Gsecond) + (dst_positive_factor_Gsecond))) /\ (((((exists ff_h_pvs_factor_Gsecondnegative. ff_h_pvs_factor_Gsecondnegative + S (dst_negative_factor_Gsecond) = S ((S (mp_b_factor_G)) * dst_negative_scale_factor_Gsecond)) /\ exists ff_q_pvs_factor_Gsecondnegative. dst_negative_code_factor_Gsecond = ff_q_pvs_factor_Gsecondnegative * S ((S (mp_b_factor_G)) * dst_negative_scale_factor_Gsecond) + (dst_negative_factor_Gsecond))) /\ (exists ge_balance_positive_factor_Gsecondvalue ge_balance_negative_factor_Gsecondvalue. (((((mp_y_factor_G) = 2 * (ge_balance_positive_factor_Gsecondvalue) /\ (ge_balance_negative_factor_Gsecondvalue) = 0) \/ exists ge_signed_half_factor_Gsecondvaluedecode. (((mp_y_factor_G) = 2 * ge_signed_half_factor_Gsecondvaluedecode + 1 /\ (ge_balance_positive_factor_Gsecondvalue) = 0) /\ (ge_balance_negative_factor_Gsecondvalue) = S ge_signed_half_factor_Gsecondvaluedecode))) /\ ((dst_positive_factor_Gsecond) + ge_balance_negative_factor_Gsecondvalue = (dst_negative_factor_Gsecond) + ge_balance_positive_factor_Gsecondvalue))))))))) -> (exists dst_positive_code_factor_Gproduct dst_positive_scale_factor_Gproduct dst_negative_code_factor_Gproduct dst_negative_scale_factor_Gproduct dst_positive_factor_Gproduct dst_negative_factor_Gproduct. (((G) = (((((dst_positive_code_factor_Gproduct) + (dst_positive_scale_factor_Gproduct)) * S ((dst_positive_code_factor_Gproduct) + (dst_positive_scale_factor_Gproduct)) + ((dst_positive_scale_factor_Gproduct) + (dst_positive_scale_factor_Gproduct))) + (((dst_negative_code_factor_Gproduct) + (dst_negative_scale_factor_Gproduct)) * S ((dst_negative_code_factor_Gproduct) + (dst_negative_scale_factor_Gproduct)) + ((dst_negative_scale_factor_Gproduct) + (dst_negative_scale_factor_Gproduct)))) * S ((((dst_positive_code_factor_Gproduct) + (dst_positive_scale_factor_Gproduct)) * S ((dst_positive_code_factor_Gproduct) + (dst_positive_scale_factor_Gproduct)) + ((dst_positive_scale_factor_Gproduct) + (dst_positive_scale_factor_Gproduct))) + (((dst_negative_code_factor_Gproduct) + (dst_negative_scale_factor_Gproduct)) * S ((dst_negative_code_factor_Gproduct) + (dst_negative_scale_factor_Gproduct)) + ((dst_negative_scale_factor_Gproduct) + (dst_negative_scale_factor_Gproduct)))) + ((((dst_negative_code_factor_Gproduct) + (dst_negative_scale_factor_Gproduct)) * S ((dst_negative_code_factor_Gproduct) + (dst_negative_scale_factor_Gproduct)) + ((dst_negative_scale_factor_Gproduct) + (dst_negative_scale_factor_Gproduct))) + (((dst_negative_code_factor_Gproduct) + (dst_negative_scale_factor_Gproduct)) * S ((dst_negative_code_factor_Gproduct) + (dst_negative_scale_factor_Gproduct)) + ((dst_negative_scale_factor_Gproduct) + (dst_negative_scale_factor_Gproduct)))))) /\ (((((exists ff_h_pvs_factor_Gproductpositive. ff_h_pvs_factor_Gproductpositive + S (dst_positive_factor_Gproduct) = S ((S (mp_a_factor_G*mp_b_factor_G)) * dst_positive_scale_factor_Gproduct)) /\ exists ff_q_pvs_factor_Gproductpositive. dst_positive_code_factor_Gproduct = ff_q_pvs_factor_Gproductpositive * S ((S (mp_a_factor_G*mp_b_factor_G)) * dst_positive_scale_factor_Gproduct) + (dst_positive_factor_Gproduct))) /\ (((((exists ff_h_pvs_factor_Gproductnegative. ff_h_pvs_factor_Gproductnegative + S (dst_negative_factor_Gproduct) = S ((S (mp_a_factor_G*mp_b_factor_G)) * dst_negative_scale_factor_Gproduct)) /\ exists ff_q_pvs_factor_Gproductnegative. dst_negative_code_factor_Gproduct = ff_q_pvs_factor_Gproductnegative * S ((S (mp_a_factor_G*mp_b_factor_G)) * dst_negative_scale_factor_Gproduct) + (dst_negative_factor_Gproduct))) /\ (exists ge_balance_positive_factor_Gproductvalue ge_balance_negative_factor_Gproductvalue. (((((mp_z_factor_G) = 2 * (ge_balance_positive_factor_Gproductvalue) /\ (ge_balance_negative_factor_Gproductvalue) = 0) \/ exists ge_signed_half_factor_Gproductvaluedecode. (((mp_z_factor_G) = 2 * ge_signed_half_factor_Gproductvaluedecode + 1 /\ (ge_balance_positive_factor_Gproductvalue) = 0) /\ (ge_balance_negative_factor_Gproductvalue) = S ge_signed_half_factor_Gproductvaluedecode))) /\ ((dst_positive_factor_Gproduct) + ge_balance_negative_factor_Gproductvalue = (dst_negative_factor_Gproduct) + ge_balance_positive_factor_Gproductvalue))))))))) -> (exists sto_ap_factor_Glaw sto_an_factor_Glaw sto_bp_factor_Glaw sto_bn_factor_Glaw sto_cp_factor_Glaw sto_cn_factor_Glaw. (((((mp_x_factor_G) = 2 * (sto_ap_factor_Glaw) /\ (sto_an_factor_Glaw) = 0) \/ exists ge_signed_half_factor_Glawleft. (((mp_x_factor_G) = 2 * ge_signed_half_factor_Glawleft + 1 /\ (sto_ap_factor_Glaw) = 0) /\ (sto_an_factor_Glaw) = S ge_signed_half_factor_Glawleft))) /\ ((((((mp_y_factor_G) = 2 * (sto_bp_factor_Glaw) /\ (sto_bn_factor_Glaw) = 0) \/ exists ge_signed_half_factor_Glawright. (((mp_y_factor_G) = 2 * ge_signed_half_factor_Glawright + 1 /\ (sto_bp_factor_Glaw) = 0) /\ (sto_bn_factor_Glaw) = S ge_signed_half_factor_Glawright))) /\ ((((((mp_z_factor_G) = 2 * (sto_cp_factor_Glaw) /\ (sto_cn_factor_Glaw) = 0) \/ exists ge_signed_half_factor_Glawoutput. (((mp_z_factor_G) = 2 * ge_signed_half_factor_Glawoutput + 1 /\ (sto_cp_factor_Glaw) = 0) /\ (sto_cn_factor_Glaw) = S ge_signed_half_factor_Glawoutput))) /\ ((sto_ap_factor_Glaw * sto_bp_factor_Glaw + sto_an_factor_Glaw * sto_bn_factor_Glaw) + sto_cn_factor_Glaw = (sto_ap_factor_Glaw * sto_bn_factor_Glaw + sto_an_factor_Glaw * sto_bp_factor_Glaw) + sto_cp_factor_Glaw)))))))))))))) -> (~(m=0)) -> (~(n=0)) -> (exists pvs_le_gap_factor_bound. pvs_le_gap_factor_bound + (m*n) = (N)) -> (forall sfd_common_divisor_factor_coprime. (exists pvs_factor_factor_coprimeleft. (m) = (sfd_common_divisor_factor_coprime) * pvs_factor_factor_coprimeleft) -> (exists pvs_factor_factor_coprimeright. (n) = (sfd_common_divisor_factor_coprime) * pvs_factor_factor_coprimeright) -> sfd_common_divisor_factor_coprime = 1) -> (((~((d)=0)) /\ (((~((e)=0)) /\ (((exists pvs_factor_factor_pairleft. (m) = (d) * pvs_factor_factor_pairleft) /\ (((exists pvs_factor_factor_pairright. (n) = (e) * pvs_factor_factor_pairright) /\ ((d*e)=(d)*(e)))))))))) -> ((((~((d)=0)) /\ (exists dc_quotient_factor_left dc_left_factor_left dc_right_factor_left. (((m)=(d)*dc_quotient_factor_left) /\ (((exists dst_positive_code_factor_leftleft dst_positive_scale_factor_leftleft dst_negative_code_factor_leftleft dst_negative_scale_factor_leftleft dst_positive_factor_leftleft dst_negative_factor_leftleft. (((F) = (((((dst_positive_code_factor_leftleft) + (dst_positive_scale_factor_leftleft)) * S ((dst_positive_code_factor_leftleft) + (dst_positive_scale_factor_leftleft)) + ((dst_positive_scale_factor_leftleft) + (dst_positive_scale_factor_leftleft))) + (((dst_negative_code_factor_leftleft) + (dst_negative_scale_factor_leftleft)) * S ((dst_negative_code_factor_leftleft) + (dst_negative_scale_factor_leftleft)) + ((dst_negative_scale_factor_leftleft) + (dst_negative_scale_factor_leftleft)))) * S ((((dst_positive_code_factor_leftleft) + (dst_positive_scale_factor_leftleft)) * S ((dst_positive_code_factor_leftleft) + (dst_positive_scale_factor_leftleft)) + ((dst_positive_scale_factor_leftleft) + (dst_positive_scale_factor_leftleft))) + (((dst_negative_code_factor_leftleft) + (dst_negative_scale_factor_leftleft)) * S ((dst_negative_code_factor_leftleft) + (dst_negative_scale_factor_leftleft)) + ((dst_negative_scale_factor_leftleft) + (dst_negative_scale_factor_leftleft)))) + ((((dst_negative_code_factor_leftleft) + (dst_negative_scale_factor_leftleft)) * S ((dst_negative_code_factor_leftleft) + (dst_negative_scale_factor_leftleft)) + ((dst_negative_scale_factor_leftleft) + (dst_negative_scale_factor_leftleft))) + (((dst_negative_code_factor_leftleft) + (dst_negative_scale_factor_leftleft)) * S ((dst_negative_code_factor_leftleft) + (dst_negative_scale_factor_leftleft)) + ((dst_negative_scale_factor_leftleft) + (dst_negative_scale_factor_leftleft)))))) /\ (((((exists ff_h_pvs_factor_leftleftpositive. ff_h_pvs_factor_leftleftpositive + S (dst_positive_factor_leftleft) = S ((S (d)) * dst_positive_scale_factor_leftleft)) /\ exists ff_q_pvs_factor_leftleftpositive. dst_positive_code_factor_leftleft = ff_q_pvs_factor_leftleftpositive * S ((S (d)) * dst_positive_scale_factor_leftleft) + (dst_positive_factor_leftleft))) /\ (((((exists ff_h_pvs_factor_leftleftnegative. ff_h_pvs_factor_leftleftnegative + S (dst_negative_factor_leftleft) = S ((S (d)) * dst_negative_scale_factor_leftleft)) /\ exists ff_q_pvs_factor_leftleftnegative. dst_negative_code_factor_leftleft = ff_q_pvs_factor_leftleftnegative * S ((S (d)) * dst_negative_scale_factor_leftleft) + (dst_negative_factor_leftleft))) /\ (exists ge_balance_positive_factor_leftleftvalue ge_balance_negative_factor_leftleftvalue. (((((dc_left_factor_left) = 2 * (ge_balance_positive_factor_leftleftvalue) /\ (ge_balance_negative_factor_leftleftvalue) = 0) \/ exists ge_signed_half_factor_leftleftvaluedecode. (((dc_left_factor_left) = 2 * ge_signed_half_factor_leftleftvaluedecode + 1 /\ (ge_balance_positive_factor_leftleftvalue) = 0) /\ (ge_balance_negative_factor_leftleftvalue) = S ge_signed_half_factor_leftleftvaluedecode))) /\ ((dst_positive_factor_leftleft) + ge_balance_negative_factor_leftleftvalue = (dst_negative_factor_leftleft) + ge_balance_positive_factor_leftleftvalue))))))))) /\ (((exists dst_positive_code_factor_leftright dst_positive_scale_factor_leftright dst_negative_code_factor_leftright dst_negative_scale_factor_leftright dst_positive_factor_leftright dst_negative_factor_leftright. (((G) = (((((dst_positive_code_factor_leftright) + (dst_positive_scale_factor_leftright)) * S ((dst_positive_code_factor_leftright) + (dst_positive_scale_factor_leftright)) + ((dst_positive_scale_factor_leftright) + (dst_positive_scale_factor_leftright))) + (((dst_negative_code_factor_leftright) + (dst_negative_scale_factor_leftright)) * S ((dst_negative_code_factor_leftright) + (dst_negative_scale_factor_leftright)) + ((dst_negative_scale_factor_leftright) + (dst_negative_scale_factor_leftright)))) * S ((((dst_positive_code_factor_leftright) + (dst_positive_scale_factor_leftright)) * S ((dst_positive_code_factor_leftright) + (dst_positive_scale_factor_leftright)) + ((dst_positive_scale_factor_leftright) + (dst_positive_scale_factor_leftright))) + (((dst_negative_code_factor_leftright) + (dst_negative_scale_factor_leftright)) * S ((dst_negative_code_factor_leftright) + (dst_negative_scale_factor_leftright)) + ((dst_negative_scale_factor_leftright) + (dst_negative_scale_factor_leftright)))) + ((((dst_negative_code_factor_leftright) + (dst_negative_scale_factor_leftright)) * S ((dst_negative_code_factor_leftright) + (dst_negative_scale_factor_leftright)) + ((dst_negative_scale_factor_leftright) + (dst_negative_scale_factor_leftright))) + (((dst_negative_code_factor_leftright) + (dst_negative_scale_factor_leftright)) * S ((dst_negative_code_factor_leftright) + (dst_negative_scale_factor_leftright)) + ((dst_negative_scale_factor_leftright) + (dst_negative_scale_factor_leftright)))))) /\ (((((exists ff_h_pvs_factor_leftrightpositive. ff_h_pvs_factor_leftrightpositive + S (dst_positive_factor_leftright) = S ((S (dc_quotient_factor_left)) * dst_positive_scale_factor_leftright)) /\ exists ff_q_pvs_factor_leftrightpositive. dst_positive_code_factor_leftright = ff_q_pvs_factor_leftrightpositive * S ((S (dc_quotient_factor_left)) * dst_positive_scale_factor_leftright) + (dst_positive_factor_leftright))) /\ (((((exists ff_h_pvs_factor_leftrightnegative. ff_h_pvs_factor_leftrightnegative + S (dst_negative_factor_leftright) = S ((S (dc_quotient_factor_left)) * dst_negative_scale_factor_leftright)) /\ exists ff_q_pvs_factor_leftrightnegative. dst_negative_code_factor_leftright = ff_q_pvs_factor_leftrightnegative * S ((S (dc_quotient_factor_left)) * dst_negative_scale_factor_leftright) + (dst_negative_factor_leftright))) /\ (exists ge_balance_positive_factor_leftrightvalue ge_balance_negative_factor_leftrightvalue. (((((dc_right_factor_left) = 2 * (ge_balance_positive_factor_leftrightvalue) /\ (ge_balance_negative_factor_leftrightvalue) = 0) \/ exists ge_signed_half_factor_leftrightvaluedecode. (((dc_right_factor_left) = 2 * ge_signed_half_factor_leftrightvaluedecode + 1 /\ (ge_balance_positive_factor_leftrightvalue) = 0) /\ (ge_balance_negative_factor_leftrightvalue) = S ge_signed_half_factor_leftrightvaluedecode))) /\ ((dst_positive_factor_leftright) + ge_balance_negative_factor_leftrightvalue = (dst_negative_factor_leftright) + ge_balance_positive_factor_leftrightvalue))))))))) /\ (exists sto_ap_factor_leftproduct sto_an_factor_leftproduct sto_bp_factor_leftproduct sto_bn_factor_leftproduct sto_cp_factor_leftproduct sto_cn_factor_leftproduct. (((((dc_left_factor_left) = 2 * (sto_ap_factor_leftproduct) /\ (sto_an_factor_leftproduct) = 0) \/ exists ge_signed_half_factor_leftproductleft. (((dc_left_factor_left) = 2 * ge_signed_half_factor_leftproductleft + 1 /\ (sto_ap_factor_leftproduct) = 0) /\ (sto_an_factor_leftproduct) = S ge_signed_half_factor_leftproductleft))) /\ ((((((dc_right_factor_left) = 2 * (sto_bp_factor_leftproduct) /\ (sto_bn_factor_leftproduct) = 0) \/ exists ge_signed_half_factor_leftproductright. (((dc_right_factor_left) = 2 * ge_signed_half_factor_leftproductright + 1 /\ (sto_bp_factor_leftproduct) = 0) /\ (sto_bn_factor_leftproduct) = S ge_signed_half_factor_leftproductright))) /\ ((((((left) = 2 * (sto_cp_factor_leftproduct) /\ (sto_cn_factor_leftproduct) = 0) \/ exists ge_signed_half_factor_leftproductoutput. (((left) = 2 * ge_signed_half_factor_leftproductoutput + 1 /\ (sto_cp_factor_leftproduct) = 0) /\ (sto_cn_factor_leftproduct) = S ge_signed_half_factor_leftproductoutput))) /\ ((sto_ap_factor_leftproduct * sto_bp_factor_leftproduct + sto_an_factor_leftproduct * sto_bn_factor_leftproduct) + sto_cn_factor_leftproduct = (sto_ap_factor_leftproduct * sto_bn_factor_leftproduct + sto_an_factor_leftproduct * sto_bp_factor_leftproduct) + sto_cp_factor_leftproduct))))))))))))))) \/ ((((d)=0 \/ ~(exists pvs_factor_factor_leftnondivisor. (m) = (d) * pvs_factor_factor_leftnondivisor)) /\ ((left)=0)))) -> ((((~((e)=0)) /\ (exists dc_quotient_factor_right dc_left_factor_right dc_right_factor_right. (((n)=(e)*dc_quotient_factor_right) /\ (((exists dst_positive_code_factor_rightleft dst_positive_scale_factor_rightleft dst_negative_code_factor_rightleft dst_negative_scale_factor_rightleft dst_positive_factor_rightleft dst_negative_factor_rightleft. (((F) = (((((dst_positive_code_factor_rightleft) + (dst_positive_scale_factor_rightleft)) * S ((dst_positive_code_factor_rightleft) + (dst_positive_scale_factor_rightleft)) + ((dst_positive_scale_factor_rightleft) + (dst_positive_scale_factor_rightleft))) + (((dst_negative_code_factor_rightleft) + (dst_negative_scale_factor_rightleft)) * S ((dst_negative_code_factor_rightleft) + (dst_negative_scale_factor_rightleft)) + ((dst_negative_scale_factor_rightleft) + (dst_negative_scale_factor_rightleft)))) * S ((((dst_positive_code_factor_rightleft) + (dst_positive_scale_factor_rightleft)) * S ((dst_positive_code_factor_rightleft) + (dst_positive_scale_factor_rightleft)) + ((dst_positive_scale_factor_rightleft) + (dst_positive_scale_factor_rightleft))) + (((dst_negative_code_factor_rightleft) + (dst_negative_scale_factor_rightleft)) * S ((dst_negative_code_factor_rightleft) + (dst_negative_scale_factor_rightleft)) + ((dst_negative_scale_factor_rightleft) + (dst_negative_scale_factor_rightleft)))) + ((((dst_negative_code_factor_rightleft) + (dst_negative_scale_factor_rightleft)) * S ((dst_negative_code_factor_rightleft) + (dst_negative_scale_factor_rightleft)) + ((dst_negative_scale_factor_rightleft) + (dst_negative_scale_factor_rightleft))) + (((dst_negative_code_factor_rightleft) + (dst_negative_scale_factor_rightleft)) * S ((dst_negative_code_factor_rightleft) + (dst_negative_scale_factor_rightleft)) + ((dst_negative_scale_factor_rightleft) + (dst_negative_scale_factor_rightleft)))))) /\ (((((exists ff_h_pvs_factor_rightleftpositive. ff_h_pvs_factor_rightleftpositive + S (dst_positive_factor_rightleft) = S ((S (e)) * dst_positive_scale_factor_rightleft)) /\ exists ff_q_pvs_factor_rightleftpositive. dst_positive_code_factor_rightleft = ff_q_pvs_factor_rightleftpositive * S ((S (e)) * dst_positive_scale_factor_rightleft) + (dst_positive_factor_rightleft))) /\ (((((exists ff_h_pvs_factor_rightleftnegative. ff_h_pvs_factor_rightleftnegative + S (dst_negative_factor_rightleft) = S ((S (e)) * dst_negative_scale_factor_rightleft)) /\ exists ff_q_pvs_factor_rightleftnegative. dst_negative_code_factor_rightleft = ff_q_pvs_factor_rightleftnegative * S ((S (e)) * dst_negative_scale_factor_rightleft) + (dst_negative_factor_rightleft))) /\ (exists ge_balance_positive_factor_rightleftvalue ge_balance_negative_factor_rightleftvalue. (((((dc_left_factor_right) = 2 * (ge_balance_positive_factor_rightleftvalue) /\ (ge_balance_negative_factor_rightleftvalue) = 0) \/ exists ge_signed_half_factor_rightleftvaluedecode. (((dc_left_factor_right) = 2 * ge_signed_half_factor_rightleftvaluedecode + 1 /\ (ge_balance_positive_factor_rightleftvalue) = 0) /\ (ge_balance_negative_factor_rightleftvalue) = S ge_signed_half_factor_rightleftvaluedecode))) /\ ((dst_positive_factor_rightleft) + ge_balance_negative_factor_rightleftvalue = (dst_negative_factor_rightleft) + ge_balance_positive_factor_rightleftvalue))))))))) /\ (((exists dst_positive_code_factor_rightright dst_positive_scale_factor_rightright dst_negative_code_factor_rightright dst_negative_scale_factor_rightright dst_positive_factor_rightright dst_negative_factor_rightright. (((G) = (((((dst_positive_code_factor_rightright) + (dst_positive_scale_factor_rightright)) * S ((dst_positive_code_factor_rightright) + (dst_positive_scale_factor_rightright)) + ((dst_positive_scale_factor_rightright) + (dst_positive_scale_factor_rightright))) + (((dst_negative_code_factor_rightright) + (dst_negative_scale_factor_rightright)) * S ((dst_negative_code_factor_rightright) + (dst_negative_scale_factor_rightright)) + ((dst_negative_scale_factor_rightright) + (dst_negative_scale_factor_rightright)))) * S ((((dst_positive_code_factor_rightright) + (dst_positive_scale_factor_rightright)) * S ((dst_positive_code_factor_rightright) + (dst_positive_scale_factor_rightright)) + ((dst_positive_scale_factor_rightright) + (dst_positive_scale_factor_rightright))) + (((dst_negative_code_factor_rightright) + (dst_negative_scale_factor_rightright)) * S ((dst_negative_code_factor_rightright) + (dst_negative_scale_factor_rightright)) + ((dst_negative_scale_factor_rightright) + (dst_negative_scale_factor_rightright)))) + ((((dst_negative_code_factor_rightright) + (dst_negative_scale_factor_rightright)) * S ((dst_negative_code_factor_rightright) + (dst_negative_scale_factor_rightright)) + ((dst_negative_scale_factor_rightright) + (dst_negative_scale_factor_rightright))) + (((dst_negative_code_factor_rightright) + (dst_negative_scale_factor_rightright)) * S ((dst_negative_code_factor_rightright) + (dst_negative_scale_factor_rightright)) + ((dst_negative_scale_factor_rightright) + (dst_negative_scale_factor_rightright)))))) /\ (((((exists ff_h_pvs_factor_rightrightpositive. ff_h_pvs_factor_rightrightpositive + S (dst_positive_factor_rightright) = S ((S (dc_quotient_factor_right)) * dst_positive_scale_factor_rightright)) /\ exists ff_q_pvs_factor_rightrightpositive. dst_positive_code_factor_rightright = ff_q_pvs_factor_rightrightpositive * S ((S (dc_quotient_factor_right)) * dst_positive_scale_factor_rightright) + (dst_positive_factor_rightright))) /\ (((((exists ff_h_pvs_factor_rightrightnegative. ff_h_pvs_factor_rightrightnegative + S (dst_negative_factor_rightright) = S ((S (dc_quotient_factor_right)) * dst_negative_scale_factor_rightright)) /\ exists ff_q_pvs_factor_rightrightnegative. dst_negative_code_factor_rightright = ff_q_pvs_factor_rightrightnegative * S ((S (dc_quotient_factor_right)) * dst_negative_scale_factor_rightright) + (dst_negative_factor_rightright))) /\ (exists ge_balance_positive_factor_rightrightvalue ge_balance_negative_factor_rightrightvalue. (((((dc_right_factor_right) = 2 * (ge_balance_positive_factor_rightrightvalue) /\ (ge_balance_negative_factor_rightrightvalue) = 0) \/ exists ge_signed_half_factor_rightrightvaluedecode. (((dc_right_factor_right) = 2 * ge_signed_half_factor_rightrightvaluedecode + 1 /\ (ge_balance_positive_factor_rightrightvalue) = 0) /\ (ge_balance_negative_factor_rightrightvalue) = S ge_signed_half_factor_rightrightvaluedecode))) /\ ((dst_positive_factor_rightright) + ge_balance_negative_factor_rightrightvalue = (dst_negative_factor_rightright) + ge_balance_positive_factor_rightrightvalue))))))))) /\ (exists sto_ap_factor_rightproduct sto_an_factor_rightproduct sto_bp_factor_rightproduct sto_bn_factor_rightproduct sto_cp_factor_rightproduct sto_cn_factor_rightproduct. (((((dc_left_factor_right) = 2 * (sto_ap_factor_rightproduct) /\ (sto_an_factor_rightproduct) = 0) \/ exists ge_signed_half_factor_rightproductleft. (((dc_left_factor_right) = 2 * ge_signed_half_factor_rightproductleft + 1 /\ (sto_ap_factor_rightproduct) = 0) /\ (sto_an_factor_rightproduct) = S ge_signed_half_factor_rightproductleft))) /\ ((((((dc_right_factor_right) = 2 * (sto_bp_factor_rightproduct) /\ (sto_bn_factor_rightproduct) = 0) \/ exists ge_signed_half_factor_rightproductright. (((dc_right_factor_right) = 2 * ge_signed_half_factor_rightproductright + 1 /\ (sto_bp_factor_rightproduct) = 0) /\ (sto_bn_factor_rightproduct) = S ge_signed_half_factor_rightproductright))) /\ ((((((right) = 2 * (sto_cp_factor_rightproduct) /\ (sto_cn_factor_rightproduct) = 0) \/ exists ge_signed_half_factor_rightproductoutput. (((right) = 2 * ge_signed_half_factor_rightproductoutput + 1 /\ (sto_cp_factor_rightproduct) = 0) /\ (sto_cn_factor_rightproduct) = S ge_signed_half_factor_rightproductoutput))) /\ ((sto_ap_factor_rightproduct * sto_bp_factor_rightproduct + sto_an_factor_rightproduct * sto_bn_factor_rightproduct) + sto_cn_factor_rightproduct = (sto_ap_factor_rightproduct * sto_bn_factor_rightproduct + sto_an_factor_rightproduct * sto_bp_factor_rightproduct) + sto_cp_factor_rightproduct))))))))))))))) \/ ((((e)=0 \/ ~(exists pvs_factor_factor_rightnondivisor. (n) = (e) * pvs_factor_factor_rightnondivisor)) /\ ((right)=0)))) -> ((((~((d*e)=0)) /\ (exists dc_quotient_factor_target dc_left_factor_target dc_right_factor_target. (((m*n)=(d*e)*dc_quotient_factor_target) /\ (((exists dst_positive_code_factor_targetleft dst_positive_scale_factor_targetleft dst_negative_code_factor_targetleft dst_negative_scale_factor_targetleft dst_positive_factor_targetleft dst_negative_factor_targetleft. (((F) = (((((dst_positive_code_factor_targetleft) + (dst_positive_scale_factor_targetleft)) * S ((dst_positive_code_factor_targetleft) + (dst_positive_scale_factor_targetleft)) + ((dst_positive_scale_factor_targetleft) + (dst_positive_scale_factor_targetleft))) + (((dst_negative_code_factor_targetleft) + (dst_negative_scale_factor_targetleft)) * S ((dst_negative_code_factor_targetleft) + (dst_negative_scale_factor_targetleft)) + ((dst_negative_scale_factor_targetleft) + (dst_negative_scale_factor_targetleft)))) * S ((((dst_positive_code_factor_targetleft) + (dst_positive_scale_factor_targetleft)) * S ((dst_positive_code_factor_targetleft) + (dst_positive_scale_factor_targetleft)) + ((dst_positive_scale_factor_targetleft) + (dst_positive_scale_factor_targetleft))) + (((dst_negative_code_factor_targetleft) + (dst_negative_scale_factor_targetleft)) * S ((dst_negative_code_factor_targetleft) + (dst_negative_scale_factor_targetleft)) + ((dst_negative_scale_factor_targetleft) + (dst_negative_scale_factor_targetleft)))) + ((((dst_negative_code_factor_targetleft) + (dst_negative_scale_factor_targetleft)) * S ((dst_negative_code_factor_targetleft) + (dst_negative_scale_factor_targetleft)) + ((dst_negative_scale_factor_targetleft) + (dst_negative_scale_factor_targetleft))) + (((dst_negative_code_factor_targetleft) + (dst_negative_scale_factor_targetleft)) * S ((dst_negative_code_factor_targetleft) + (dst_negative_scale_factor_targetleft)) + ((dst_negative_scale_factor_targetleft) + (dst_negative_scale_factor_targetleft)))))) /\ (((((exists ff_h_pvs_factor_targetleftpositive. ff_h_pvs_factor_targetleftpositive + S (dst_positive_factor_targetleft) = S ((S (d*e)) * dst_positive_scale_factor_targetleft)) /\ exists ff_q_pvs_factor_targetleftpositive. dst_positive_code_factor_targetleft = ff_q_pvs_factor_targetleftpositive * S ((S (d*e)) * dst_positive_scale_factor_targetleft) + (dst_positive_factor_targetleft))) /\ (((((exists ff_h_pvs_factor_targetleftnegative. ff_h_pvs_factor_targetleftnegative + S (dst_negative_factor_targetleft) = S ((S (d*e)) * dst_negative_scale_factor_targetleft)) /\ exists ff_q_pvs_factor_targetleftnegative. dst_negative_code_factor_targetleft = ff_q_pvs_factor_targetleftnegative * S ((S (d*e)) * dst_negative_scale_factor_targetleft) + (dst_negative_factor_targetleft))) /\ (exists ge_balance_positive_factor_targetleftvalue ge_balance_negative_factor_targetleftvalue. (((((dc_left_factor_target) = 2 * (ge_balance_positive_factor_targetleftvalue) /\ (ge_balance_negative_factor_targetleftvalue) = 0) \/ exists ge_signed_half_factor_targetleftvaluedecode. (((dc_left_factor_target) = 2 * ge_signed_half_factor_targetleftvaluedecode + 1 /\ (ge_balance_positive_factor_targetleftvalue) = 0) /\ (ge_balance_negative_factor_targetleftvalue) = S ge_signed_half_factor_targetleftvaluedecode))) /\ ((dst_positive_factor_targetleft) + ge_balance_negative_factor_targetleftvalue = (dst_negative_factor_targetleft) + ge_balance_positive_factor_targetleftvalue))))))))) /\ (((exists dst_positive_code_factor_targetright dst_positive_scale_factor_targetright dst_negative_code_factor_targetright dst_negative_scale_factor_targetright dst_positive_factor_targetright dst_negative_factor_targetright. (((G) = (((((dst_positive_code_factor_targetright) + (dst_positive_scale_factor_targetright)) * S ((dst_positive_code_factor_targetright) + (dst_positive_scale_factor_targetright)) + ((dst_positive_scale_factor_targetright) + (dst_positive_scale_factor_targetright))) + (((dst_negative_code_factor_targetright) + (dst_negative_scale_factor_targetright)) * S ((dst_negative_code_factor_targetright) + (dst_negative_scale_factor_targetright)) + ((dst_negative_scale_factor_targetright) + (dst_negative_scale_factor_targetright)))) * S ((((dst_positive_code_factor_targetright) + (dst_positive_scale_factor_targetright)) * S ((dst_positive_code_factor_targetright) + (dst_positive_scale_factor_targetright)) + ((dst_positive_scale_factor_targetright) + (dst_positive_scale_factor_targetright))) + (((dst_negative_code_factor_targetright) + (dst_negative_scale_factor_targetright)) * S ((dst_negative_code_factor_targetright) + (dst_negative_scale_factor_targetright)) + ((dst_negative_scale_factor_targetright) + (dst_negative_scale_factor_targetright)))) + ((((dst_negative_code_factor_targetright) + (dst_negative_scale_factor_targetright)) * S ((dst_negative_code_factor_targetright) + (dst_negative_scale_factor_targetright)) + ((dst_negative_scale_factor_targetright) + (dst_negative_scale_factor_targetright))) + (((dst_negative_code_factor_targetright) + (dst_negative_scale_factor_targetright)) * S ((dst_negative_code_factor_targetright) + (dst_negative_scale_factor_targetright)) + ((dst_negative_scale_factor_targetright) + (dst_negative_scale_factor_targetright)))))) /\ (((((exists ff_h_pvs_factor_targetrightpositive. ff_h_pvs_factor_targetrightpositive + S (dst_positive_factor_targetright) = S ((S (dc_quotient_factor_target)) * dst_positive_scale_factor_targetright)) /\ exists ff_q_pvs_factor_targetrightpositive. dst_positive_code_factor_targetright = ff_q_pvs_factor_targetrightpositive * S ((S (dc_quotient_factor_target)) * dst_positive_scale_factor_targetright) + (dst_positive_factor_targetright))) /\ (((((exists ff_h_pvs_factor_targetrightnegative. ff_h_pvs_factor_targetrightnegative + S (dst_negative_factor_targetright) = S ((S (dc_quotient_factor_target)) * dst_negative_scale_factor_targetright)) /\ exists ff_q_pvs_factor_targetrightnegative. dst_negative_code_factor_targetright = ff_q_pvs_factor_targetrightnegative * S ((S (dc_quotient_factor_target)) * dst_negative_scale_factor_targetright) + (dst_negative_factor_targetright))) /\ (exists ge_balance_positive_factor_targetrightvalue ge_balance_negative_factor_targetrightvalue. (((((dc_right_factor_target) = 2 * (ge_balance_positive_factor_targetrightvalue) /\ (ge_balance_negative_factor_targetrightvalue) = 0) \/ exists ge_signed_half_factor_targetrightvaluedecode. (((dc_right_factor_target) = 2 * ge_signed_half_factor_targetrightvaluedecode + 1 /\ (ge_balance_positive_factor_targetrightvalue) = 0) /\ (ge_balance_negative_factor_targetrightvalue) = S ge_signed_half_factor_targetrightvaluedecode))) /\ ((dst_positive_factor_targetright) + ge_balance_negative_factor_targetrightvalue = (dst_negative_factor_targetright) + ge_balance_positive_factor_targetrightvalue))))))))) /\ (exists sto_ap_factor_targetproduct sto_an_factor_targetproduct sto_bp_factor_targetproduct sto_bn_factor_targetproduct sto_cp_factor_targetproduct sto_cn_factor_targetproduct. (((((dc_left_factor_target) = 2 * (sto_ap_factor_targetproduct) /\ (sto_an_factor_targetproduct) = 0) \/ exists ge_signed_half_factor_targetproductleft. (((dc_left_factor_target) = 2 * ge_signed_half_factor_targetproductleft + 1 /\ (sto_ap_factor_targetproduct) = 0) /\ (sto_an_factor_targetproduct) = S ge_signed_half_factor_targetproductleft))) /\ ((((((dc_right_factor_target) = 2 * (sto_bp_factor_targetproduct) /\ (sto_bn_factor_targetproduct) = 0) \/ exists ge_signed_half_factor_targetproductright. (((dc_right_factor_target) = 2 * ge_signed_half_factor_targetproductright + 1 /\ (sto_bp_factor_targetproduct) = 0) /\ (sto_bn_factor_targetproduct) = S ge_signed_half_factor_targetproductright))) /\ ((((((total) = 2 * (sto_cp_factor_targetproduct) /\ (sto_cn_factor_targetproduct) = 0) \/ exists ge_signed_half_factor_targetproductoutput. (((total) = 2 * ge_signed_half_factor_targetproductoutput + 1 /\ (sto_cp_factor_targetproduct) = 0) /\ (sto_cn_factor_targetproduct) = S ge_signed_half_factor_targetproductoutput))) /\ ((sto_ap_factor_targetproduct * sto_bp_factor_targetproduct + sto_an_factor_targetproduct * sto_bn_factor_targetproduct) + sto_cn_factor_targetproduct = (sto_ap_factor_targetproduct * sto_bn_factor_targetproduct + sto_an_factor_targetproduct * sto_bp_factor_targetproduct) + sto_cp_factor_targetproduct))))))))))))))) \/ ((((d*e)=0 \/ ~(exists pvs_factor_factor_targetnondivisor. (m*n) = (d*e) * pvs_factor_factor_targetnondivisor)) /\ ((total)=0)))) -> (exists sto_ap_factor_result sto_an_factor_result sto_bp_factor_result sto_bn_factor_result sto_cp_factor_result sto_cn_factor_result. (((((left) = 2 * (sto_ap_factor_result) /\ (sto_an_factor_result) = 0) \/ exists ge_signed_half_factor_resultleft. (((left) = 2 * ge_signed_half_factor_resultleft + 1 /\ (sto_ap_factor_result) = 0) /\ (sto_an_factor_result) = S ge_signed_half_factor_resultleft))) /\ ((((((right) = 2 * (sto_bp_factor_result) /\ (sto_bn_factor_result) = 0) \/ exists ge_signed_half_factor_resultright. (((right) = 2 * ge_signed_half_factor_resultright + 1 /\ (sto_bp_factor_result) = 0) /\ (sto_bn_factor_result) = S ge_signed_half_factor_resultright))) /\ ((((((total) = 2 * (sto_cp_factor_result) /\ (sto_cn_factor_result) = 0) \/ exists ge_signed_half_factor_resultoutput. (((total) = 2 * ge_signed_half_factor_resultoutput + 1 /\ (sto_cp_factor_result) = 0) /\ (sto_cn_factor_result) = S ge_signed_half_factor_resultoutput))) /\ ((sto_ap_factor_result * sto_bp_factor_result + sto_an_factor_result * sto_bn_factor_result) + sto_cn_factor_result = (sto_ap_factor_result * sto_bn_factor_result + sto_an_factor_result * sto_bp_factor_result) + sto_cp_factor_result)))))))