signed_divisor_sum_positive_source_extensional

forall F G n a b. (forall dm_index_sum_source_equal dm_first_value_sum_source_equal dm_second_value_sum_source_equal. ~(dm_index_sum_source_equal=0) -> (exists pvs_le_gap_sum_source_equaldomain. pvs_le_gap_sum_source_equaldomain + (dm_index_sum_source_equal) = (n)) -> (exists dst_positive_code_sum_source_equalfirst dst_positive_scale_sum_source_equalfirst dst_negative_code_sum_source_equalfirst dst_negative_scale_sum_source_equalfirst dst_positive_sum_source_equalfirst dst_negative_sum_source_equalfirst. (((F) = (((((dst_positive_code_sum_source_equalfirst) + (dst_positive_scale_sum_source_equalfirst)) * S ((dst_positive_code_sum_source_equalfirst) + (dst_positive_scale_sum_source_equalfirst)) + ((dst_positive_scale_sum_source_equalfirst) + (dst_positive_scale_sum_source_equalfirst))) + (((dst_negative_code_sum_source_equalfirst) + (dst_negative_scale_sum_source_equalfirst)) * S ((dst_negative_code_sum_source_equalfirst) + (dst_negative_scale_sum_source_equalfirst)) + ((dst_negative_scale_sum_source_equalfirst) + (dst_negative_scale_sum_source_equalfirst)))) * S ((((dst_positive_code_sum_source_equalfirst) + (dst_positive_scale_sum_source_equalfirst)) * S ((dst_positive_code_sum_source_equalfirst) + (dst_positive_scale_sum_source_equalfirst)) + ((dst_positive_scale_sum_source_equalfirst) + (dst_positive_scale_sum_source_equalfirst))) + (((dst_negative_code_sum_source_equalfirst) + (dst_negative_scale_sum_source_equalfirst)) * S ((dst_negative_code_sum_source_equalfirst) + (dst_negative_scale_sum_source_equalfirst)) + ((dst_negative_scale_sum_source_equalfirst) + (dst_negative_scale_sum_source_equalfirst)))) + ((((dst_negative_code_sum_source_equalfirst) + (dst_negative_scale_sum_source_equalfirst)) * S ((dst_negative_code_sum_source_equalfirst) + (dst_negative_scale_sum_source_equalfirst)) + ((dst_negative_scale_sum_source_equalfirst) + (dst_negative_scale_sum_source_equalfirst))) + (((dst_negative_code_sum_source_equalfirst) + (dst_negative_scale_sum_source_equalfirst)) * S ((dst_negative_code_sum_source_equalfirst) + (dst_negative_scale_sum_source_equalfirst)) + ((dst_negative_scale_sum_source_equalfirst) + (dst_negative_scale_sum_source_equalfirst)))))) /\ (((((exists ff_h_pvs_sum_source_equalfirstpositive. ff_h_pvs_sum_source_equalfirstpositive + S (dst_positive_sum_source_equalfirst) = S ((S (dm_index_sum_source_equal)) * dst_positive_scale_sum_source_equalfirst)) /\ exists ff_q_pvs_sum_source_equalfirstpositive. dst_positive_code_sum_source_equalfirst = ff_q_pvs_sum_source_equalfirstpositive * S ((S (dm_index_sum_source_equal)) * dst_positive_scale_sum_source_equalfirst) + (dst_positive_sum_source_equalfirst))) /\ (((((exists ff_h_pvs_sum_source_equalfirstnegative. ff_h_pvs_sum_source_equalfirstnegative + S (dst_negative_sum_source_equalfirst) = S ((S (dm_index_sum_source_equal)) * dst_negative_scale_sum_source_equalfirst)) /\ exists ff_q_pvs_sum_source_equalfirstnegative. dst_negative_code_sum_source_equalfirst = ff_q_pvs_sum_source_equalfirstnegative * S ((S (dm_index_sum_source_equal)) * dst_negative_scale_sum_source_equalfirst) + (dst_negative_sum_source_equalfirst))) /\ (exists ge_balance_positive_sum_source_equalfirstvalue ge_balance_negative_sum_source_equalfirstvalue. (((((dm_first_value_sum_source_equal) = 2 * (ge_balance_positive_sum_source_equalfirstvalue) /\ (ge_balance_negative_sum_source_equalfirstvalue) = 0) \/ exists ge_signed_half_sum_source_equalfirstvaluedecode. (((dm_first_value_sum_source_equal) = 2 * ge_signed_half_sum_source_equalfirstvaluedecode + 1 /\ (ge_balance_positive_sum_source_equalfirstvalue) = 0) /\ (ge_balance_negative_sum_source_equalfirstvalue) = S ge_signed_half_sum_source_equalfirstvaluedecode))) /\ ((dst_positive_sum_source_equalfirst) + ge_balance_negative_sum_source_equalfirstvalue = (dst_negative_sum_source_equalfirst) + ge_balance_positive_sum_source_equalfirstvalue))))))))) -> (exists dst_positive_code_sum_source_equalsecond dst_positive_scale_sum_source_equalsecond dst_negative_code_sum_source_equalsecond dst_negative_scale_sum_source_equalsecond dst_positive_sum_source_equalsecond dst_negative_sum_source_equalsecond. (((G) = (((((dst_positive_code_sum_source_equalsecond) + (dst_positive_scale_sum_source_equalsecond)) * S ((dst_positive_code_sum_source_equalsecond) + (dst_positive_scale_sum_source_equalsecond)) + ((dst_positive_scale_sum_source_equalsecond) + (dst_positive_scale_sum_source_equalsecond))) + (((dst_negative_code_sum_source_equalsecond) + (dst_negative_scale_sum_source_equalsecond)) * S ((dst_negative_code_sum_source_equalsecond) + (dst_negative_scale_sum_source_equalsecond)) + ((dst_negative_scale_sum_source_equalsecond) + (dst_negative_scale_sum_source_equalsecond)))) * S ((((dst_positive_code_sum_source_equalsecond) + (dst_positive_scale_sum_source_equalsecond)) * S ((dst_positive_code_sum_source_equalsecond) + (dst_positive_scale_sum_source_equalsecond)) + ((dst_positive_scale_sum_source_equalsecond) + (dst_positive_scale_sum_source_equalsecond))) + (((dst_negative_code_sum_source_equalsecond) + (dst_negative_scale_sum_source_equalsecond)) * S ((dst_negative_code_sum_source_equalsecond) + (dst_negative_scale_sum_source_equalsecond)) + ((dst_negative_scale_sum_source_equalsecond) + (dst_negative_scale_sum_source_equalsecond)))) + ((((dst_negative_code_sum_source_equalsecond) + (dst_negative_scale_sum_source_equalsecond)) * S ((dst_negative_code_sum_source_equalsecond) + (dst_negative_scale_sum_source_equalsecond)) + ((dst_negative_scale_sum_source_equalsecond) + (dst_negative_scale_sum_source_equalsecond))) + (((dst_negative_code_sum_source_equalsecond) + (dst_negative_scale_sum_source_equalsecond)) * S ((dst_negative_code_sum_source_equalsecond) + (dst_negative_scale_sum_source_equalsecond)) + ((dst_negative_scale_sum_source_equalsecond) + (dst_negative_scale_sum_source_equalsecond)))))) /\ (((((exists ff_h_pvs_sum_source_equalsecondpositive. ff_h_pvs_sum_source_equalsecondpositive + S (dst_positive_sum_source_equalsecond) = S ((S (dm_index_sum_source_equal)) * dst_positive_scale_sum_source_equalsecond)) /\ exists ff_q_pvs_sum_source_equalsecondpositive. dst_positive_code_sum_source_equalsecond = ff_q_pvs_sum_source_equalsecondpositive * S ((S (dm_index_sum_source_equal)) * dst_positive_scale_sum_source_equalsecond) + (dst_positive_sum_source_equalsecond))) /\ (((((exists ff_h_pvs_sum_source_equalsecondnegative. ff_h_pvs_sum_source_equalsecondnegative + S (dst_negative_sum_source_equalsecond) = S ((S (dm_index_sum_source_equal)) * dst_negative_scale_sum_source_equalsecond)) /\ exists ff_q_pvs_sum_source_equalsecondnegative. dst_negative_code_sum_source_equalsecond = ff_q_pvs_sum_source_equalsecondnegative * S ((S (dm_index_sum_source_equal)) * dst_negative_scale_sum_source_equalsecond) + (dst_negative_sum_source_equalsecond))) /\ (exists ge_balance_positive_sum_source_equalsecondvalue ge_balance_negative_sum_source_equalsecondvalue. (((((dm_second_value_sum_source_equal) = 2 * (ge_balance_positive_sum_source_equalsecondvalue) /\ (ge_balance_negative_sum_source_equalsecondvalue) = 0) \/ exists ge_signed_half_sum_source_equalsecondvaluedecode. (((dm_second_value_sum_source_equal) = 2 * ge_signed_half_sum_source_equalsecondvaluedecode + 1 /\ (ge_balance_positive_sum_source_equalsecondvalue) = 0) /\ (ge_balance_negative_sum_source_equalsecondvalue) = S ge_signed_half_sum_source_equalsecondvaluedecode))) /\ ((dst_positive_sum_source_equalsecond) + ge_balance_negative_sum_source_equalsecondvalue = (dst_negative_sum_source_equalsecond) + ge_balance_positive_sum_source_equalsecondvalue))))))))) -> dm_first_value_sum_source_equal=dm_second_value_sum_source_equal) -> (((~((n)=0)) /\ (exists dm_mask_table_sum_source_first. ((((exists dst_positive_code_sum_source_firstmasktable dst_positive_scale_sum_source_firstmasktable dst_negative_code_sum_source_firstmasktable dst_negative_scale_sum_source_firstmasktable. (((dm_mask_table_sum_source_first) = (((((dst_positive_code_sum_source_firstmasktable) + (dst_positive_scale_sum_source_firstmasktable)) * S ((dst_positive_code_sum_source_firstmasktable) + (dst_positive_scale_sum_source_firstmasktable)) + ((dst_positive_scale_sum_source_firstmasktable) + (dst_positive_scale_sum_source_firstmasktable))) + (((dst_negative_code_sum_source_firstmasktable) + (dst_negative_scale_sum_source_firstmasktable)) * S ((dst_negative_code_sum_source_firstmasktable) + (dst_negative_scale_sum_source_firstmasktable)) + ((dst_negative_scale_sum_source_firstmasktable) + (dst_negative_scale_sum_source_firstmasktable)))) * S ((((dst_positive_code_sum_source_firstmasktable) + (dst_positive_scale_sum_source_firstmasktable)) * S ((dst_positive_code_sum_source_firstmasktable) + (dst_positive_scale_sum_source_firstmasktable)) + ((dst_positive_scale_sum_source_firstmasktable) + (dst_positive_scale_sum_source_firstmasktable))) + (((dst_negative_code_sum_source_firstmasktable) + (dst_negative_scale_sum_source_firstmasktable)) * S ((dst_negative_code_sum_source_firstmasktable) + (dst_negative_scale_sum_source_firstmasktable)) + ((dst_negative_scale_sum_source_firstmasktable) + (dst_negative_scale_sum_source_firstmasktable)))) + ((((dst_negative_code_sum_source_firstmasktable) + (dst_negative_scale_sum_source_firstmasktable)) * S ((dst_negative_code_sum_source_firstmasktable) + (dst_negative_scale_sum_source_firstmasktable)) + ((dst_negative_scale_sum_source_firstmasktable) + (dst_negative_scale_sum_source_firstmasktable))) + (((dst_negative_code_sum_source_firstmasktable) + (dst_negative_scale_sum_source_firstmasktable)) * S ((dst_negative_code_sum_source_firstmasktable) + (dst_negative_scale_sum_source_firstmasktable)) + ((dst_negative_scale_sum_source_firstmasktable) + (dst_negative_scale_sum_source_firstmasktable)))))) /\ (forall dst_index_sum_source_firstmasktable. (exists pvs_le_gap_sum_source_firstmasktabledomain. pvs_le_gap_sum_source_firstmasktabledomain + (dst_index_sum_source_firstmasktable) = (n)) -> exists dst_positive_sum_source_firstmasktable dst_negative_sum_source_firstmasktable dst_value_sum_source_firstmasktable. ((((exists ff_h_pvs_sum_source_firstmasktableentrypositive. ff_h_pvs_sum_source_firstmasktableentrypositive + S (dst_positive_sum_source_firstmasktable) = S ((S (dst_index_sum_source_firstmasktable)) * dst_positive_scale_sum_source_firstmasktable)) /\ exists ff_q_pvs_sum_source_firstmasktableentrypositive. dst_positive_code_sum_source_firstmasktable = ff_q_pvs_sum_source_firstmasktableentrypositive * S ((S (dst_index_sum_source_firstmasktable)) * dst_positive_scale_sum_source_firstmasktable) + (dst_positive_sum_source_firstmasktable))) /\ (((((exists ff_h_pvs_sum_source_firstmasktableentrynegative. ff_h_pvs_sum_source_firstmasktableentrynegative + S (dst_negative_sum_source_firstmasktable) = S ((S (dst_index_sum_source_firstmasktable)) * dst_negative_scale_sum_source_firstmasktable)) /\ exists ff_q_pvs_sum_source_firstmasktableentrynegative. dst_negative_code_sum_source_firstmasktable = ff_q_pvs_sum_source_firstmasktableentrynegative * S ((S (dst_index_sum_source_firstmasktable)) * dst_negative_scale_sum_source_firstmasktable) + (dst_negative_sum_source_firstmasktable))) /\ (exists ge_balance_positive_sum_source_firstmasktableentryvalue ge_balance_negative_sum_source_firstmasktableentryvalue. (((((dst_value_sum_source_firstmasktable) = 2 * (ge_balance_positive_sum_source_firstmasktableentryvalue) /\ (ge_balance_negative_sum_source_firstmasktableentryvalue) = 0) \/ exists ge_signed_half_sum_source_firstmasktableentryvaluedecode. (((dst_value_sum_source_firstmasktable) = 2 * ge_signed_half_sum_source_firstmasktableentryvaluedecode + 1 /\ (ge_balance_positive_sum_source_firstmasktableentryvalue) = 0) /\ (ge_balance_negative_sum_source_firstmasktableentryvalue) = S ge_signed_half_sum_source_firstmasktableentryvaluedecode))) /\ ((dst_positive_sum_source_firstmasktable) + ge_balance_negative_sum_source_firstmasktableentryvalue = (dst_negative_sum_source_firstmasktable) + ge_balance_positive_sum_source_firstmasktableentryvalue))))))))) /\ (forall dm_index_sum_source_firstmask dm_value_sum_source_firstmask. (exists pvs_le_gap_sum_source_firstmaskdomain. pvs_le_gap_sum_source_firstmaskdomain + (dm_index_sum_source_firstmask) = (n)) -> (exists dst_positive_code_sum_source_firstmasklookup dst_positive_scale_sum_source_firstmasklookup dst_negative_code_sum_source_firstmasklookup dst_negative_scale_sum_source_firstmasklookup dst_positive_sum_source_firstmasklookup dst_negative_sum_source_firstmasklookup. (((dm_mask_table_sum_source_first) = (((((dst_positive_code_sum_source_firstmasklookup) + (dst_positive_scale_sum_source_firstmasklookup)) * S ((dst_positive_code_sum_source_firstmasklookup) + (dst_positive_scale_sum_source_firstmasklookup)) + ((dst_positive_scale_sum_source_firstmasklookup) + (dst_positive_scale_sum_source_firstmasklookup))) + (((dst_negative_code_sum_source_firstmasklookup) + (dst_negative_scale_sum_source_firstmasklookup)) * S ((dst_negative_code_sum_source_firstmasklookup) + (dst_negative_scale_sum_source_firstmasklookup)) + ((dst_negative_scale_sum_source_firstmasklookup) + (dst_negative_scale_sum_source_firstmasklookup)))) * S ((((dst_positive_code_sum_source_firstmasklookup) + (dst_positive_scale_sum_source_firstmasklookup)) * S ((dst_positive_code_sum_source_firstmasklookup) + (dst_positive_scale_sum_source_firstmasklookup)) + ((dst_positive_scale_sum_source_firstmasklookup) + (dst_positive_scale_sum_source_firstmasklookup))) + (((dst_negative_code_sum_source_firstmasklookup) + (dst_negative_scale_sum_source_firstmasklookup)) * S ((dst_negative_code_sum_source_firstmasklookup) + (dst_negative_scale_sum_source_firstmasklookup)) + ((dst_negative_scale_sum_source_firstmasklookup) + (dst_negative_scale_sum_source_firstmasklookup)))) + ((((dst_negative_code_sum_source_firstmasklookup) + (dst_negative_scale_sum_source_firstmasklookup)) * S ((dst_negative_code_sum_source_firstmasklookup) + (dst_negative_scale_sum_source_firstmasklookup)) + ((dst_negative_scale_sum_source_firstmasklookup) + (dst_negative_scale_sum_source_firstmasklookup))) + (((dst_negative_code_sum_source_firstmasklookup) + (dst_negative_scale_sum_source_firstmasklookup)) * S ((dst_negative_code_sum_source_firstmasklookup) + (dst_negative_scale_sum_source_firstmasklookup)) + ((dst_negative_scale_sum_source_firstmasklookup) + (dst_negative_scale_sum_source_firstmasklookup)))))) /\ (((((exists ff_h_pvs_sum_source_firstmasklookuppositive. ff_h_pvs_sum_source_firstmasklookuppositive + S (dst_positive_sum_source_firstmasklookup) = S ((S (dm_index_sum_source_firstmask)) * dst_positive_scale_sum_source_firstmasklookup)) /\ exists ff_q_pvs_sum_source_firstmasklookuppositive. dst_positive_code_sum_source_firstmasklookup = ff_q_pvs_sum_source_firstmasklookuppositive * S ((S (dm_index_sum_source_firstmask)) * dst_positive_scale_sum_source_firstmasklookup) + (dst_positive_sum_source_firstmasklookup))) /\ (((((exists ff_h_pvs_sum_source_firstmasklookupnegative. ff_h_pvs_sum_source_firstmasklookupnegative + S (dst_negative_sum_source_firstmasklookup) = S ((S (dm_index_sum_source_firstmask)) * dst_negative_scale_sum_source_firstmasklookup)) /\ exists ff_q_pvs_sum_source_firstmasklookupnegative. dst_negative_code_sum_source_firstmasklookup = ff_q_pvs_sum_source_firstmasklookupnegative * S ((S (dm_index_sum_source_firstmask)) * dst_negative_scale_sum_source_firstmasklookup) + (dst_negative_sum_source_firstmasklookup))) /\ (exists ge_balance_positive_sum_source_firstmasklookupvalue ge_balance_negative_sum_source_firstmasklookupvalue. (((((dm_value_sum_source_firstmask) = 2 * (ge_balance_positive_sum_source_firstmasklookupvalue) /\ (ge_balance_negative_sum_source_firstmasklookupvalue) = 0) \/ exists ge_signed_half_sum_source_firstmasklookupvaluedecode. (((dm_value_sum_source_firstmask) = 2 * ge_signed_half_sum_source_firstmasklookupvaluedecode + 1 /\ (ge_balance_positive_sum_source_firstmasklookupvalue) = 0) /\ (ge_balance_negative_sum_source_firstmasklookupvalue) = S ge_signed_half_sum_source_firstmasklookupvaluedecode))) /\ ((dst_positive_sum_source_firstmasklookup) + ge_balance_negative_sum_source_firstmasklookupvalue = (dst_negative_sum_source_firstmasklookup) + ge_balance_positive_sum_source_firstmasklookupvalue))))))))) -> ((((~((dm_index_sum_source_firstmask)=0)) /\ (exists dm_quotient_sum_source_firstmaskentry. (((n)=(dm_index_sum_source_firstmask)*dm_quotient_sum_source_firstmaskentry) /\ (exists dst_positive_code_sum_source_firstmaskentryinput dst_positive_scale_sum_source_firstmaskentryinput dst_negative_code_sum_source_firstmaskentryinput dst_negative_scale_sum_source_firstmaskentryinput dst_positive_sum_source_firstmaskentryinput dst_negative_sum_source_firstmaskentryinput. (((F) = (((((dst_positive_code_sum_source_firstmaskentryinput) + (dst_positive_scale_sum_source_firstmaskentryinput)) * S ((dst_positive_code_sum_source_firstmaskentryinput) + (dst_positive_scale_sum_source_firstmaskentryinput)) + ((dst_positive_scale_sum_source_firstmaskentryinput) + (dst_positive_scale_sum_source_firstmaskentryinput))) + (((dst_negative_code_sum_source_firstmaskentryinput) + (dst_negative_scale_sum_source_firstmaskentryinput)) * S ((dst_negative_code_sum_source_firstmaskentryinput) + (dst_negative_scale_sum_source_firstmaskentryinput)) + ((dst_negative_scale_sum_source_firstmaskentryinput) + (dst_negative_scale_sum_source_firstmaskentryinput)))) * S ((((dst_positive_code_sum_source_firstmaskentryinput) + (dst_positive_scale_sum_source_firstmaskentryinput)) * S ((dst_positive_code_sum_source_firstmaskentryinput) + (dst_positive_scale_sum_source_firstmaskentryinput)) + ((dst_positive_scale_sum_source_firstmaskentryinput) + (dst_positive_scale_sum_source_firstmaskentryinput))) + (((dst_negative_code_sum_source_firstmaskentryinput) + (dst_negative_scale_sum_source_firstmaskentryinput)) * S ((dst_negative_code_sum_source_firstmaskentryinput) + (dst_negative_scale_sum_source_firstmaskentryinput)) + ((dst_negative_scale_sum_source_firstmaskentryinput) + (dst_negative_scale_sum_source_firstmaskentryinput)))) + ((((dst_negative_code_sum_source_firstmaskentryinput) + (dst_negative_scale_sum_source_firstmaskentryinput)) * S ((dst_negative_code_sum_source_firstmaskentryinput) + (dst_negative_scale_sum_source_firstmaskentryinput)) + ((dst_negative_scale_sum_source_firstmaskentryinput) + (dst_negative_scale_sum_source_firstmaskentryinput))) + (((dst_negative_code_sum_source_firstmaskentryinput) + (dst_negative_scale_sum_source_firstmaskentryinput)) * S ((dst_negative_code_sum_source_firstmaskentryinput) + (dst_negative_scale_sum_source_firstmaskentryinput)) + ((dst_negative_scale_sum_source_firstmaskentryinput) + (dst_negative_scale_sum_source_firstmaskentryinput)))))) /\ (((((exists ff_h_pvs_sum_source_firstmaskentryinputpositive. ff_h_pvs_sum_source_firstmaskentryinputpositive + S (dst_positive_sum_source_firstmaskentryinput) = S ((S (dm_index_sum_source_firstmask)) * dst_positive_scale_sum_source_firstmaskentryinput)) /\ exists ff_q_pvs_sum_source_firstmaskentryinputpositive. dst_positive_code_sum_source_firstmaskentryinput = ff_q_pvs_sum_source_firstmaskentryinputpositive * S ((S (dm_index_sum_source_firstmask)) * dst_positive_scale_sum_source_firstmaskentryinput) + (dst_positive_sum_source_firstmaskentryinput))) /\ (((((exists ff_h_pvs_sum_source_firstmaskentryinputnegative. ff_h_pvs_sum_source_firstmaskentryinputnegative + S (dst_negative_sum_source_firstmaskentryinput) = S ((S (dm_index_sum_source_firstmask)) * dst_negative_scale_sum_source_firstmaskentryinput)) /\ exists ff_q_pvs_sum_source_firstmaskentryinputnegative. dst_negative_code_sum_source_firstmaskentryinput = ff_q_pvs_sum_source_firstmaskentryinputnegative * S ((S (dm_index_sum_source_firstmask)) * dst_negative_scale_sum_source_firstmaskentryinput) + (dst_negative_sum_source_firstmaskentryinput))) /\ (exists ge_balance_positive_sum_source_firstmaskentryinputvalue ge_balance_negative_sum_source_firstmaskentryinputvalue. (((((dm_value_sum_source_firstmask) = 2 * (ge_balance_positive_sum_source_firstmaskentryinputvalue) /\ (ge_balance_negative_sum_source_firstmaskentryinputvalue) = 0) \/ exists ge_signed_half_sum_source_firstmaskentryinputvaluedecode. (((dm_value_sum_source_firstmask) = 2 * ge_signed_half_sum_source_firstmaskentryinputvaluedecode + 1 /\ (ge_balance_positive_sum_source_firstmaskentryinputvalue) = 0) /\ (ge_balance_negative_sum_source_firstmaskentryinputvalue) = S ge_signed_half_sum_source_firstmaskentryinputvaluedecode))) /\ ((dst_positive_sum_source_firstmaskentryinput) + ge_balance_negative_sum_source_firstmaskentryinputvalue = (dst_negative_sum_source_firstmaskentryinput) + ge_balance_positive_sum_source_firstmaskentryinputvalue))))))))))))) \/ ((((dm_index_sum_source_firstmask)=0 \/ ~(exists pvs_factor_sum_source_firstmaskentrynondivisor. (n) = (dm_index_sum_source_firstmask) * pvs_factor_sum_source_firstmaskentrynondivisor)) /\ ((dm_value_sum_source_firstmask)=0))))))) /\ (exists dst_positive_code_sum_source_firstfold dst_positive_scale_sum_source_firstfold dst_negative_code_sum_source_firstfold dst_negative_scale_sum_source_firstfold dst_positive_sum_sum_source_firstfold dst_negative_sum_sum_source_firstfold. (((dm_mask_table_sum_source_first) = (((((dst_positive_code_sum_source_firstfold) + (dst_positive_scale_sum_source_firstfold)) * S ((dst_positive_code_sum_source_firstfold) + (dst_positive_scale_sum_source_firstfold)) + ((dst_positive_scale_sum_source_firstfold) + (dst_positive_scale_sum_source_firstfold))) + (((dst_negative_code_sum_source_firstfold) + (dst_negative_scale_sum_source_firstfold)) * S ((dst_negative_code_sum_source_firstfold) + (dst_negative_scale_sum_source_firstfold)) + ((dst_negative_scale_sum_source_firstfold) + (dst_negative_scale_sum_source_firstfold)))) * S ((((dst_positive_code_sum_source_firstfold) + (dst_positive_scale_sum_source_firstfold)) * S ((dst_positive_code_sum_source_firstfold) + (dst_positive_scale_sum_source_firstfold)) + ((dst_positive_scale_sum_source_firstfold) + (dst_positive_scale_sum_source_firstfold))) + (((dst_negative_code_sum_source_firstfold) + (dst_negative_scale_sum_source_firstfold)) * S ((dst_negative_code_sum_source_firstfold) + (dst_negative_scale_sum_source_firstfold)) + ((dst_negative_scale_sum_source_firstfold) + (dst_negative_scale_sum_source_firstfold)))) + ((((dst_negative_code_sum_source_firstfold) + (dst_negative_scale_sum_source_firstfold)) * S ((dst_negative_code_sum_source_firstfold) + (dst_negative_scale_sum_source_firstfold)) + ((dst_negative_scale_sum_source_firstfold) + (dst_negative_scale_sum_source_firstfold))) + (((dst_negative_code_sum_source_firstfold) + (dst_negative_scale_sum_source_firstfold)) * S ((dst_negative_code_sum_source_firstfold) + (dst_negative_scale_sum_source_firstfold)) + ((dst_negative_scale_sum_source_firstfold) + (dst_negative_scale_sum_source_firstfold)))))) /\ (((exists fs_u_dst_sum_source_firstfoldpositive fs_v_dst_sum_source_firstfoldpositive. ((((exists fs_h_dst_sum_source_firstfoldpositive_body_start. fs_h_dst_sum_source_firstfoldpositive_body_start + S (0) = S ((S (0)) * fs_v_dst_sum_source_firstfoldpositive)) /\ exists fs_q_dst_sum_source_firstfoldpositive_body_start. fs_u_dst_sum_source_firstfoldpositive = fs_q_dst_sum_source_firstfoldpositive_body_start * S ((S (0)) * fs_v_dst_sum_source_firstfoldpositive) + (0))) /\ ((((exists fs_h_dst_sum_source_firstfoldpositive_body_terminal. fs_h_dst_sum_source_firstfoldpositive_body_terminal + S (dst_positive_sum_sum_source_firstfold) = S ((S (S (n))) * fs_v_dst_sum_source_firstfoldpositive)) /\ exists fs_q_dst_sum_source_firstfoldpositive_body_terminal. fs_u_dst_sum_source_firstfoldpositive = fs_q_dst_sum_source_firstfoldpositive_body_terminal * S ((S (S (n))) * fs_v_dst_sum_source_firstfoldpositive) + (dst_positive_sum_sum_source_firstfold))) /\ forall fs_i_dst_sum_source_firstfoldpositive_body_steps. (exists fs_lt_dst_sum_source_firstfoldpositive_body_steps_bound. fs_lt_dst_sum_source_firstfoldpositive_body_steps_bound + S fs_i_dst_sum_source_firstfoldpositive_body_steps = S (n)) -> exists fs_a_dst_sum_source_firstfoldpositive_body_steps fs_r_dst_sum_source_firstfoldpositive_body_steps fs_s_dst_sum_source_firstfoldpositive_body_steps. ((((exists fs_h_dst_sum_source_firstfoldpositive_body_steps_summand. fs_h_dst_sum_source_firstfoldpositive_body_steps_summand + S (fs_a_dst_sum_source_firstfoldpositive_body_steps) = S ((S (fs_i_dst_sum_source_firstfoldpositive_body_steps)) * dst_positive_scale_sum_source_firstfold)) /\ exists fs_q_dst_sum_source_firstfoldpositive_body_steps_summand. dst_positive_code_sum_source_firstfold = fs_q_dst_sum_source_firstfoldpositive_body_steps_summand * S ((S (fs_i_dst_sum_source_firstfoldpositive_body_steps)) * dst_positive_scale_sum_source_firstfold) + (fs_a_dst_sum_source_firstfoldpositive_body_steps))) /\ ((((exists fs_h_dst_sum_source_firstfoldpositive_body_steps_partial. fs_h_dst_sum_source_firstfoldpositive_body_steps_partial + S (fs_r_dst_sum_source_firstfoldpositive_body_steps) = S ((S (fs_i_dst_sum_source_firstfoldpositive_body_steps)) * fs_v_dst_sum_source_firstfoldpositive)) /\ exists fs_q_dst_sum_source_firstfoldpositive_body_steps_partial. fs_u_dst_sum_source_firstfoldpositive = fs_q_dst_sum_source_firstfoldpositive_body_steps_partial * S ((S (fs_i_dst_sum_source_firstfoldpositive_body_steps)) * fs_v_dst_sum_source_firstfoldpositive) + (fs_r_dst_sum_source_firstfoldpositive_body_steps))) /\ ((((exists fs_h_dst_sum_source_firstfoldpositive_body_steps_successor. fs_h_dst_sum_source_firstfoldpositive_body_steps_successor + S (fs_s_dst_sum_source_firstfoldpositive_body_steps) = S ((S (S fs_i_dst_sum_source_firstfoldpositive_body_steps)) * fs_v_dst_sum_source_firstfoldpositive)) /\ exists fs_q_dst_sum_source_firstfoldpositive_body_steps_successor. fs_u_dst_sum_source_firstfoldpositive = fs_q_dst_sum_source_firstfoldpositive_body_steps_successor * S ((S (S fs_i_dst_sum_source_firstfoldpositive_body_steps)) * fs_v_dst_sum_source_firstfoldpositive) + (fs_s_dst_sum_source_firstfoldpositive_body_steps))) /\ fs_s_dst_sum_source_firstfoldpositive_body_steps = fs_r_dst_sum_source_firstfoldpositive_body_steps + fs_a_dst_sum_source_firstfoldpositive_body_steps)))))) /\ (((exists fs_u_dst_sum_source_firstfoldnegative fs_v_dst_sum_source_firstfoldnegative. ((((exists fs_h_dst_sum_source_firstfoldnegative_body_start. fs_h_dst_sum_source_firstfoldnegative_body_start + S (0) = S ((S (0)) * fs_v_dst_sum_source_firstfoldnegative)) /\ exists fs_q_dst_sum_source_firstfoldnegative_body_start. fs_u_dst_sum_source_firstfoldnegative = fs_q_dst_sum_source_firstfoldnegative_body_start * S ((S (0)) * fs_v_dst_sum_source_firstfoldnegative) + (0))) /\ ((((exists fs_h_dst_sum_source_firstfoldnegative_body_terminal. fs_h_dst_sum_source_firstfoldnegative_body_terminal + S (dst_negative_sum_sum_source_firstfold) = S ((S (S (n))) * fs_v_dst_sum_source_firstfoldnegative)) /\ exists fs_q_dst_sum_source_firstfoldnegative_body_terminal. fs_u_dst_sum_source_firstfoldnegative = fs_q_dst_sum_source_firstfoldnegative_body_terminal * S ((S (S (n))) * fs_v_dst_sum_source_firstfoldnegative) + (dst_negative_sum_sum_source_firstfold))) /\ forall fs_i_dst_sum_source_firstfoldnegative_body_steps. (exists fs_lt_dst_sum_source_firstfoldnegative_body_steps_bound. fs_lt_dst_sum_source_firstfoldnegative_body_steps_bound + S fs_i_dst_sum_source_firstfoldnegative_body_steps = S (n)) -> exists fs_a_dst_sum_source_firstfoldnegative_body_steps fs_r_dst_sum_source_firstfoldnegative_body_steps fs_s_dst_sum_source_firstfoldnegative_body_steps. ((((exists fs_h_dst_sum_source_firstfoldnegative_body_steps_summand. fs_h_dst_sum_source_firstfoldnegative_body_steps_summand + S (fs_a_dst_sum_source_firstfoldnegative_body_steps) = S ((S (fs_i_dst_sum_source_firstfoldnegative_body_steps)) * dst_negative_scale_sum_source_firstfold)) /\ exists fs_q_dst_sum_source_firstfoldnegative_body_steps_summand. dst_negative_code_sum_source_firstfold = fs_q_dst_sum_source_firstfoldnegative_body_steps_summand * S ((S (fs_i_dst_sum_source_firstfoldnegative_body_steps)) * dst_negative_scale_sum_source_firstfold) + (fs_a_dst_sum_source_firstfoldnegative_body_steps))) /\ ((((exists fs_h_dst_sum_source_firstfoldnegative_body_steps_partial. fs_h_dst_sum_source_firstfoldnegative_body_steps_partial + S (fs_r_dst_sum_source_firstfoldnegative_body_steps) = S ((S (fs_i_dst_sum_source_firstfoldnegative_body_steps)) * fs_v_dst_sum_source_firstfoldnegative)) /\ exists fs_q_dst_sum_source_firstfoldnegative_body_steps_partial. fs_u_dst_sum_source_firstfoldnegative = fs_q_dst_sum_source_firstfoldnegative_body_steps_partial * S ((S (fs_i_dst_sum_source_firstfoldnegative_body_steps)) * fs_v_dst_sum_source_firstfoldnegative) + (fs_r_dst_sum_source_firstfoldnegative_body_steps))) /\ ((((exists fs_h_dst_sum_source_firstfoldnegative_body_steps_successor. fs_h_dst_sum_source_firstfoldnegative_body_steps_successor + S (fs_s_dst_sum_source_firstfoldnegative_body_steps) = S ((S (S fs_i_dst_sum_source_firstfoldnegative_body_steps)) * fs_v_dst_sum_source_firstfoldnegative)) /\ exists fs_q_dst_sum_source_firstfoldnegative_body_steps_successor. fs_u_dst_sum_source_firstfoldnegative = fs_q_dst_sum_source_firstfoldnegative_body_steps_successor * S ((S (S fs_i_dst_sum_source_firstfoldnegative_body_steps)) * fs_v_dst_sum_source_firstfoldnegative) + (fs_s_dst_sum_source_firstfoldnegative_body_steps))) /\ fs_s_dst_sum_source_firstfoldnegative_body_steps = fs_r_dst_sum_source_firstfoldnegative_body_steps + fs_a_dst_sum_source_firstfoldnegative_body_steps)))))) /\ (exists ge_balance_positive_sum_source_firstfoldresult ge_balance_negative_sum_source_firstfoldresult. (((((a) = 2 * (ge_balance_positive_sum_source_firstfoldresult) /\ (ge_balance_negative_sum_source_firstfoldresult) = 0) \/ exists ge_signed_half_sum_source_firstfoldresultdecode. (((a) = 2 * ge_signed_half_sum_source_firstfoldresultdecode + 1 /\ (ge_balance_positive_sum_source_firstfoldresult) = 0) /\ (ge_balance_negative_sum_source_firstfoldresult) = S ge_signed_half_sum_source_firstfoldresultdecode))) /\ ((dst_positive_sum_sum_source_firstfold) + ge_balance_negative_sum_source_firstfoldresult = (dst_negative_sum_sum_source_firstfold) + ge_balance_positive_sum_source_firstfoldresult))))))))))))) -> (((~((n)=0)) /\ (exists dm_mask_table_sum_source_second. ((((exists dst_positive_code_sum_source_secondmasktable dst_positive_scale_sum_source_secondmasktable dst_negative_code_sum_source_secondmasktable dst_negative_scale_sum_source_secondmasktable. (((dm_mask_table_sum_source_second) = (((((dst_positive_code_sum_source_secondmasktable) + (dst_positive_scale_sum_source_secondmasktable)) * S ((dst_positive_code_sum_source_secondmasktable) + (dst_positive_scale_sum_source_secondmasktable)) + ((dst_positive_scale_sum_source_secondmasktable) + (dst_positive_scale_sum_source_secondmasktable))) + (((dst_negative_code_sum_source_secondmasktable) + (dst_negative_scale_sum_source_secondmasktable)) * S ((dst_negative_code_sum_source_secondmasktable) + (dst_negative_scale_sum_source_secondmasktable)) + ((dst_negative_scale_sum_source_secondmasktable) + (dst_negative_scale_sum_source_secondmasktable)))) * S ((((dst_positive_code_sum_source_secondmasktable) + (dst_positive_scale_sum_source_secondmasktable)) * S ((dst_positive_code_sum_source_secondmasktable) + (dst_positive_scale_sum_source_secondmasktable)) + ((dst_positive_scale_sum_source_secondmasktable) + (dst_positive_scale_sum_source_secondmasktable))) + (((dst_negative_code_sum_source_secondmasktable) + (dst_negative_scale_sum_source_secondmasktable)) * S ((dst_negative_code_sum_source_secondmasktable) + (dst_negative_scale_sum_source_secondmasktable)) + ((dst_negative_scale_sum_source_secondmasktable) + (dst_negative_scale_sum_source_secondmasktable)))) + ((((dst_negative_code_sum_source_secondmasktable) + (dst_negative_scale_sum_source_secondmasktable)) * S ((dst_negative_code_sum_source_secondmasktable) + (dst_negative_scale_sum_source_secondmasktable)) + ((dst_negative_scale_sum_source_secondmasktable) + (dst_negative_scale_sum_source_secondmasktable))) + (((dst_negative_code_sum_source_secondmasktable) + (dst_negative_scale_sum_source_secondmasktable)) * S ((dst_negative_code_sum_source_secondmasktable) + (dst_negative_scale_sum_source_secondmasktable)) + ((dst_negative_scale_sum_source_secondmasktable) + (dst_negative_scale_sum_source_secondmasktable)))))) /\ (forall dst_index_sum_source_secondmasktable. (exists pvs_le_gap_sum_source_secondmasktabledomain. pvs_le_gap_sum_source_secondmasktabledomain + (dst_index_sum_source_secondmasktable) = (n)) -> exists dst_positive_sum_source_secondmasktable dst_negative_sum_source_secondmasktable dst_value_sum_source_secondmasktable. ((((exists ff_h_pvs_sum_source_secondmasktableentrypositive. ff_h_pvs_sum_source_secondmasktableentrypositive + S (dst_positive_sum_source_secondmasktable) = S ((S (dst_index_sum_source_secondmasktable)) * dst_positive_scale_sum_source_secondmasktable)) /\ exists ff_q_pvs_sum_source_secondmasktableentrypositive. dst_positive_code_sum_source_secondmasktable = ff_q_pvs_sum_source_secondmasktableentrypositive * S ((S (dst_index_sum_source_secondmasktable)) * dst_positive_scale_sum_source_secondmasktable) + (dst_positive_sum_source_secondmasktable))) /\ (((((exists ff_h_pvs_sum_source_secondmasktableentrynegative. ff_h_pvs_sum_source_secondmasktableentrynegative + S (dst_negative_sum_source_secondmasktable) = S ((S (dst_index_sum_source_secondmasktable)) * dst_negative_scale_sum_source_secondmasktable)) /\ exists ff_q_pvs_sum_source_secondmasktableentrynegative. dst_negative_code_sum_source_secondmasktable = ff_q_pvs_sum_source_secondmasktableentrynegative * S ((S (dst_index_sum_source_secondmasktable)) * dst_negative_scale_sum_source_secondmasktable) + (dst_negative_sum_source_secondmasktable))) /\ (exists ge_balance_positive_sum_source_secondmasktableentryvalue ge_balance_negative_sum_source_secondmasktableentryvalue. (((((dst_value_sum_source_secondmasktable) = 2 * (ge_balance_positive_sum_source_secondmasktableentryvalue) /\ (ge_balance_negative_sum_source_secondmasktableentryvalue) = 0) \/ exists ge_signed_half_sum_source_secondmasktableentryvaluedecode. (((dst_value_sum_source_secondmasktable) = 2 * ge_signed_half_sum_source_secondmasktableentryvaluedecode + 1 /\ (ge_balance_positive_sum_source_secondmasktableentryvalue) = 0) /\ (ge_balance_negative_sum_source_secondmasktableentryvalue) = S ge_signed_half_sum_source_secondmasktableentryvaluedecode))) /\ ((dst_positive_sum_source_secondmasktable) + ge_balance_negative_sum_source_secondmasktableentryvalue = (dst_negative_sum_source_secondmasktable) + ge_balance_positive_sum_source_secondmasktableentryvalue))))))))) /\ (forall dm_index_sum_source_secondmask dm_value_sum_source_secondmask. (exists pvs_le_gap_sum_source_secondmaskdomain. pvs_le_gap_sum_source_secondmaskdomain + (dm_index_sum_source_secondmask) = (n)) -> (exists dst_positive_code_sum_source_secondmasklookup dst_positive_scale_sum_source_secondmasklookup dst_negative_code_sum_source_secondmasklookup dst_negative_scale_sum_source_secondmasklookup dst_positive_sum_source_secondmasklookup dst_negative_sum_source_secondmasklookup. (((dm_mask_table_sum_source_second) = (((((dst_positive_code_sum_source_secondmasklookup) + (dst_positive_scale_sum_source_secondmasklookup)) * S ((dst_positive_code_sum_source_secondmasklookup) + (dst_positive_scale_sum_source_secondmasklookup)) + ((dst_positive_scale_sum_source_secondmasklookup) + (dst_positive_scale_sum_source_secondmasklookup))) + (((dst_negative_code_sum_source_secondmasklookup) + (dst_negative_scale_sum_source_secondmasklookup)) * S ((dst_negative_code_sum_source_secondmasklookup) + (dst_negative_scale_sum_source_secondmasklookup)) + ((dst_negative_scale_sum_source_secondmasklookup) + (dst_negative_scale_sum_source_secondmasklookup)))) * S ((((dst_positive_code_sum_source_secondmasklookup) + (dst_positive_scale_sum_source_secondmasklookup)) * S ((dst_positive_code_sum_source_secondmasklookup) + (dst_positive_scale_sum_source_secondmasklookup)) + ((dst_positive_scale_sum_source_secondmasklookup) + (dst_positive_scale_sum_source_secondmasklookup))) + (((dst_negative_code_sum_source_secondmasklookup) + (dst_negative_scale_sum_source_secondmasklookup)) * S ((dst_negative_code_sum_source_secondmasklookup) + (dst_negative_scale_sum_source_secondmasklookup)) + ((dst_negative_scale_sum_source_secondmasklookup) + (dst_negative_scale_sum_source_secondmasklookup)))) + ((((dst_negative_code_sum_source_secondmasklookup) + (dst_negative_scale_sum_source_secondmasklookup)) * S ((dst_negative_code_sum_source_secondmasklookup) + (dst_negative_scale_sum_source_secondmasklookup)) + ((dst_negative_scale_sum_source_secondmasklookup) + (dst_negative_scale_sum_source_secondmasklookup))) + (((dst_negative_code_sum_source_secondmasklookup) + (dst_negative_scale_sum_source_secondmasklookup)) * S ((dst_negative_code_sum_source_secondmasklookup) + (dst_negative_scale_sum_source_secondmasklookup)) + ((dst_negative_scale_sum_source_secondmasklookup) + (dst_negative_scale_sum_source_secondmasklookup)))))) /\ (((((exists ff_h_pvs_sum_source_secondmasklookuppositive. ff_h_pvs_sum_source_secondmasklookuppositive + S (dst_positive_sum_source_secondmasklookup) = S ((S (dm_index_sum_source_secondmask)) * dst_positive_scale_sum_source_secondmasklookup)) /\ exists ff_q_pvs_sum_source_secondmasklookuppositive. dst_positive_code_sum_source_secondmasklookup = ff_q_pvs_sum_source_secondmasklookuppositive * S ((S (dm_index_sum_source_secondmask)) * dst_positive_scale_sum_source_secondmasklookup) + (dst_positive_sum_source_secondmasklookup))) /\ (((((exists ff_h_pvs_sum_source_secondmasklookupnegative. ff_h_pvs_sum_source_secondmasklookupnegative + S (dst_negative_sum_source_secondmasklookup) = S ((S (dm_index_sum_source_secondmask)) * dst_negative_scale_sum_source_secondmasklookup)) /\ exists ff_q_pvs_sum_source_secondmasklookupnegative. dst_negative_code_sum_source_secondmasklookup = ff_q_pvs_sum_source_secondmasklookupnegative * S ((S (dm_index_sum_source_secondmask)) * dst_negative_scale_sum_source_secondmasklookup) + (dst_negative_sum_source_secondmasklookup))) /\ (exists ge_balance_positive_sum_source_secondmasklookupvalue ge_balance_negative_sum_source_secondmasklookupvalue. (((((dm_value_sum_source_secondmask) = 2 * (ge_balance_positive_sum_source_secondmasklookupvalue) /\ (ge_balance_negative_sum_source_secondmasklookupvalue) = 0) \/ exists ge_signed_half_sum_source_secondmasklookupvaluedecode. (((dm_value_sum_source_secondmask) = 2 * ge_signed_half_sum_source_secondmasklookupvaluedecode + 1 /\ (ge_balance_positive_sum_source_secondmasklookupvalue) = 0) /\ (ge_balance_negative_sum_source_secondmasklookupvalue) = S ge_signed_half_sum_source_secondmasklookupvaluedecode))) /\ ((dst_positive_sum_source_secondmasklookup) + ge_balance_negative_sum_source_secondmasklookupvalue = (dst_negative_sum_source_secondmasklookup) + ge_balance_positive_sum_source_secondmasklookupvalue))))))))) -> ((((~((dm_index_sum_source_secondmask)=0)) /\ (exists dm_quotient_sum_source_secondmaskentry. (((n)=(dm_index_sum_source_secondmask)*dm_quotient_sum_source_secondmaskentry) /\ (exists dst_positive_code_sum_source_secondmaskentryinput dst_positive_scale_sum_source_secondmaskentryinput dst_negative_code_sum_source_secondmaskentryinput dst_negative_scale_sum_source_secondmaskentryinput dst_positive_sum_source_secondmaskentryinput dst_negative_sum_source_secondmaskentryinput. (((G) = (((((dst_positive_code_sum_source_secondmaskentryinput) + (dst_positive_scale_sum_source_secondmaskentryinput)) * S ((dst_positive_code_sum_source_secondmaskentryinput) + (dst_positive_scale_sum_source_secondmaskentryinput)) + ((dst_positive_scale_sum_source_secondmaskentryinput) + (dst_positive_scale_sum_source_secondmaskentryinput))) + (((dst_negative_code_sum_source_secondmaskentryinput) + (dst_negative_scale_sum_source_secondmaskentryinput)) * S ((dst_negative_code_sum_source_secondmaskentryinput) + (dst_negative_scale_sum_source_secondmaskentryinput)) + ((dst_negative_scale_sum_source_secondmaskentryinput) + (dst_negative_scale_sum_source_secondmaskentryinput)))) * S ((((dst_positive_code_sum_source_secondmaskentryinput) + (dst_positive_scale_sum_source_secondmaskentryinput)) * S ((dst_positive_code_sum_source_secondmaskentryinput) + (dst_positive_scale_sum_source_secondmaskentryinput)) + ((dst_positive_scale_sum_source_secondmaskentryinput) + (dst_positive_scale_sum_source_secondmaskentryinput))) + (((dst_negative_code_sum_source_secondmaskentryinput) + (dst_negative_scale_sum_source_secondmaskentryinput)) * S ((dst_negative_code_sum_source_secondmaskentryinput) + (dst_negative_scale_sum_source_secondmaskentryinput)) + ((dst_negative_scale_sum_source_secondmaskentryinput) + (dst_negative_scale_sum_source_secondmaskentryinput)))) + ((((dst_negative_code_sum_source_secondmaskentryinput) + (dst_negative_scale_sum_source_secondmaskentryinput)) * S ((dst_negative_code_sum_source_secondmaskentryinput) + (dst_negative_scale_sum_source_secondmaskentryinput)) + ((dst_negative_scale_sum_source_secondmaskentryinput) + (dst_negative_scale_sum_source_secondmaskentryinput))) + (((dst_negative_code_sum_source_secondmaskentryinput) + (dst_negative_scale_sum_source_secondmaskentryinput)) * S ((dst_negative_code_sum_source_secondmaskentryinput) + (dst_negative_scale_sum_source_secondmaskentryinput)) + ((dst_negative_scale_sum_source_secondmaskentryinput) + (dst_negative_scale_sum_source_secondmaskentryinput)))))) /\ (((((exists ff_h_pvs_sum_source_secondmaskentryinputpositive. ff_h_pvs_sum_source_secondmaskentryinputpositive + S (dst_positive_sum_source_secondmaskentryinput) = S ((S (dm_index_sum_source_secondmask)) * dst_positive_scale_sum_source_secondmaskentryinput)) /\ exists ff_q_pvs_sum_source_secondmaskentryinputpositive. dst_positive_code_sum_source_secondmaskentryinput = ff_q_pvs_sum_source_secondmaskentryinputpositive * S ((S (dm_index_sum_source_secondmask)) * dst_positive_scale_sum_source_secondmaskentryinput) + (dst_positive_sum_source_secondmaskentryinput))) /\ (((((exists ff_h_pvs_sum_source_secondmaskentryinputnegative. ff_h_pvs_sum_source_secondmaskentryinputnegative + S (dst_negative_sum_source_secondmaskentryinput) = S ((S (dm_index_sum_source_secondmask)) * dst_negative_scale_sum_source_secondmaskentryinput)) /\ exists ff_q_pvs_sum_source_secondmaskentryinputnegative. dst_negative_code_sum_source_secondmaskentryinput = ff_q_pvs_sum_source_secondmaskentryinputnegative * S ((S (dm_index_sum_source_secondmask)) * dst_negative_scale_sum_source_secondmaskentryinput) + (dst_negative_sum_source_secondmaskentryinput))) /\ (exists ge_balance_positive_sum_source_secondmaskentryinputvalue ge_balance_negative_sum_source_secondmaskentryinputvalue. (((((dm_value_sum_source_secondmask) = 2 * (ge_balance_positive_sum_source_secondmaskentryinputvalue) /\ (ge_balance_negative_sum_source_secondmaskentryinputvalue) = 0) \/ exists ge_signed_half_sum_source_secondmaskentryinputvaluedecode. (((dm_value_sum_source_secondmask) = 2 * ge_signed_half_sum_source_secondmaskentryinputvaluedecode + 1 /\ (ge_balance_positive_sum_source_secondmaskentryinputvalue) = 0) /\ (ge_balance_negative_sum_source_secondmaskentryinputvalue) = S ge_signed_half_sum_source_secondmaskentryinputvaluedecode))) /\ ((dst_positive_sum_source_secondmaskentryinput) + ge_balance_negative_sum_source_secondmaskentryinputvalue = (dst_negative_sum_source_secondmaskentryinput) + ge_balance_positive_sum_source_secondmaskentryinputvalue))))))))))))) \/ ((((dm_index_sum_source_secondmask)=0 \/ ~(exists pvs_factor_sum_source_secondmaskentrynondivisor. (n) = (dm_index_sum_source_secondmask) * pvs_factor_sum_source_secondmaskentrynondivisor)) /\ ((dm_value_sum_source_secondmask)=0))))))) /\ (exists dst_positive_code_sum_source_secondfold dst_positive_scale_sum_source_secondfold dst_negative_code_sum_source_secondfold dst_negative_scale_sum_source_secondfold dst_positive_sum_sum_source_secondfold dst_negative_sum_sum_source_secondfold. (((dm_mask_table_sum_source_second) = (((((dst_positive_code_sum_source_secondfold) + (dst_positive_scale_sum_source_secondfold)) * S ((dst_positive_code_sum_source_secondfold) + (dst_positive_scale_sum_source_secondfold)) + ((dst_positive_scale_sum_source_secondfold) + (dst_positive_scale_sum_source_secondfold))) + (((dst_negative_code_sum_source_secondfold) + (dst_negative_scale_sum_source_secondfold)) * S ((dst_negative_code_sum_source_secondfold) + (dst_negative_scale_sum_source_secondfold)) + ((dst_negative_scale_sum_source_secondfold) + (dst_negative_scale_sum_source_secondfold)))) * S ((((dst_positive_code_sum_source_secondfold) + (dst_positive_scale_sum_source_secondfold)) * S ((dst_positive_code_sum_source_secondfold) + (dst_positive_scale_sum_source_secondfold)) + ((dst_positive_scale_sum_source_secondfold) + (dst_positive_scale_sum_source_secondfold))) + (((dst_negative_code_sum_source_secondfold) + (dst_negative_scale_sum_source_secondfold)) * S ((dst_negative_code_sum_source_secondfold) + (dst_negative_scale_sum_source_secondfold)) + ((dst_negative_scale_sum_source_secondfold) + (dst_negative_scale_sum_source_secondfold)))) + ((((dst_negative_code_sum_source_secondfold) + (dst_negative_scale_sum_source_secondfold)) * S ((dst_negative_code_sum_source_secondfold) + (dst_negative_scale_sum_source_secondfold)) + ((dst_negative_scale_sum_source_secondfold) + (dst_negative_scale_sum_source_secondfold))) + (((dst_negative_code_sum_source_secondfold) + (dst_negative_scale_sum_source_secondfold)) * S ((dst_negative_code_sum_source_secondfold) + (dst_negative_scale_sum_source_secondfold)) + ((dst_negative_scale_sum_source_secondfold) + (dst_negative_scale_sum_source_secondfold)))))) /\ (((exists fs_u_dst_sum_source_secondfoldpositive fs_v_dst_sum_source_secondfoldpositive. ((((exists fs_h_dst_sum_source_secondfoldpositive_body_start. fs_h_dst_sum_source_secondfoldpositive_body_start + S (0) = S ((S (0)) * fs_v_dst_sum_source_secondfoldpositive)) /\ exists fs_q_dst_sum_source_secondfoldpositive_body_start. fs_u_dst_sum_source_secondfoldpositive = fs_q_dst_sum_source_secondfoldpositive_body_start * S ((S (0)) * fs_v_dst_sum_source_secondfoldpositive) + (0))) /\ ((((exists fs_h_dst_sum_source_secondfoldpositive_body_terminal. fs_h_dst_sum_source_secondfoldpositive_body_terminal + S (dst_positive_sum_sum_source_secondfold) = S ((S (S (n))) * fs_v_dst_sum_source_secondfoldpositive)) /\ exists fs_q_dst_sum_source_secondfoldpositive_body_terminal. fs_u_dst_sum_source_secondfoldpositive = fs_q_dst_sum_source_secondfoldpositive_body_terminal * S ((S (S (n))) * fs_v_dst_sum_source_secondfoldpositive) + (dst_positive_sum_sum_source_secondfold))) /\ forall fs_i_dst_sum_source_secondfoldpositive_body_steps. (exists fs_lt_dst_sum_source_secondfoldpositive_body_steps_bound. fs_lt_dst_sum_source_secondfoldpositive_body_steps_bound + S fs_i_dst_sum_source_secondfoldpositive_body_steps = S (n)) -> exists fs_a_dst_sum_source_secondfoldpositive_body_steps fs_r_dst_sum_source_secondfoldpositive_body_steps fs_s_dst_sum_source_secondfoldpositive_body_steps. ((((exists fs_h_dst_sum_source_secondfoldpositive_body_steps_summand. fs_h_dst_sum_source_secondfoldpositive_body_steps_summand + S (fs_a_dst_sum_source_secondfoldpositive_body_steps) = S ((S (fs_i_dst_sum_source_secondfoldpositive_body_steps)) * dst_positive_scale_sum_source_secondfold)) /\ exists fs_q_dst_sum_source_secondfoldpositive_body_steps_summand. dst_positive_code_sum_source_secondfold = fs_q_dst_sum_source_secondfoldpositive_body_steps_summand * S ((S (fs_i_dst_sum_source_secondfoldpositive_body_steps)) * dst_positive_scale_sum_source_secondfold) + (fs_a_dst_sum_source_secondfoldpositive_body_steps))) /\ ((((exists fs_h_dst_sum_source_secondfoldpositive_body_steps_partial. fs_h_dst_sum_source_secondfoldpositive_body_steps_partial + S (fs_r_dst_sum_source_secondfoldpositive_body_steps) = S ((S (fs_i_dst_sum_source_secondfoldpositive_body_steps)) * fs_v_dst_sum_source_secondfoldpositive)) /\ exists fs_q_dst_sum_source_secondfoldpositive_body_steps_partial. fs_u_dst_sum_source_secondfoldpositive = fs_q_dst_sum_source_secondfoldpositive_body_steps_partial * S ((S (fs_i_dst_sum_source_secondfoldpositive_body_steps)) * fs_v_dst_sum_source_secondfoldpositive) + (fs_r_dst_sum_source_secondfoldpositive_body_steps))) /\ ((((exists fs_h_dst_sum_source_secondfoldpositive_body_steps_successor. fs_h_dst_sum_source_secondfoldpositive_body_steps_successor + S (fs_s_dst_sum_source_secondfoldpositive_body_steps) = S ((S (S fs_i_dst_sum_source_secondfoldpositive_body_steps)) * fs_v_dst_sum_source_secondfoldpositive)) /\ exists fs_q_dst_sum_source_secondfoldpositive_body_steps_successor. fs_u_dst_sum_source_secondfoldpositive = fs_q_dst_sum_source_secondfoldpositive_body_steps_successor * S ((S (S fs_i_dst_sum_source_secondfoldpositive_body_steps)) * fs_v_dst_sum_source_secondfoldpositive) + (fs_s_dst_sum_source_secondfoldpositive_body_steps))) /\ fs_s_dst_sum_source_secondfoldpositive_body_steps = fs_r_dst_sum_source_secondfoldpositive_body_steps + fs_a_dst_sum_source_secondfoldpositive_body_steps)))))) /\ (((exists fs_u_dst_sum_source_secondfoldnegative fs_v_dst_sum_source_secondfoldnegative. ((((exists fs_h_dst_sum_source_secondfoldnegative_body_start. fs_h_dst_sum_source_secondfoldnegative_body_start + S (0) = S ((S (0)) * fs_v_dst_sum_source_secondfoldnegative)) /\ exists fs_q_dst_sum_source_secondfoldnegative_body_start. fs_u_dst_sum_source_secondfoldnegative = fs_q_dst_sum_source_secondfoldnegative_body_start * S ((S (0)) * fs_v_dst_sum_source_secondfoldnegative) + (0))) /\ ((((exists fs_h_dst_sum_source_secondfoldnegative_body_terminal. fs_h_dst_sum_source_secondfoldnegative_body_terminal + S (dst_negative_sum_sum_source_secondfold) = S ((S (S (n))) * fs_v_dst_sum_source_secondfoldnegative)) /\ exists fs_q_dst_sum_source_secondfoldnegative_body_terminal. fs_u_dst_sum_source_secondfoldnegative = fs_q_dst_sum_source_secondfoldnegative_body_terminal * S ((S (S (n))) * fs_v_dst_sum_source_secondfoldnegative) + (dst_negative_sum_sum_source_secondfold))) /\ forall fs_i_dst_sum_source_secondfoldnegative_body_steps. (exists fs_lt_dst_sum_source_secondfoldnegative_body_steps_bound. fs_lt_dst_sum_source_secondfoldnegative_body_steps_bound + S fs_i_dst_sum_source_secondfoldnegative_body_steps = S (n)) -> exists fs_a_dst_sum_source_secondfoldnegative_body_steps fs_r_dst_sum_source_secondfoldnegative_body_steps fs_s_dst_sum_source_secondfoldnegative_body_steps. ((((exists fs_h_dst_sum_source_secondfoldnegative_body_steps_summand. fs_h_dst_sum_source_secondfoldnegative_body_steps_summand + S (fs_a_dst_sum_source_secondfoldnegative_body_steps) = S ((S (fs_i_dst_sum_source_secondfoldnegative_body_steps)) * dst_negative_scale_sum_source_secondfold)) /\ exists fs_q_dst_sum_source_secondfoldnegative_body_steps_summand. dst_negative_code_sum_source_secondfold = fs_q_dst_sum_source_secondfoldnegative_body_steps_summand * S ((S (fs_i_dst_sum_source_secondfoldnegative_body_steps)) * dst_negative_scale_sum_source_secondfold) + (fs_a_dst_sum_source_secondfoldnegative_body_steps))) /\ ((((exists fs_h_dst_sum_source_secondfoldnegative_body_steps_partial. fs_h_dst_sum_source_secondfoldnegative_body_steps_partial + S (fs_r_dst_sum_source_secondfoldnegative_body_steps) = S ((S (fs_i_dst_sum_source_secondfoldnegative_body_steps)) * fs_v_dst_sum_source_secondfoldnegative)) /\ exists fs_q_dst_sum_source_secondfoldnegative_body_steps_partial. fs_u_dst_sum_source_secondfoldnegative = fs_q_dst_sum_source_secondfoldnegative_body_steps_partial * S ((S (fs_i_dst_sum_source_secondfoldnegative_body_steps)) * fs_v_dst_sum_source_secondfoldnegative) + (fs_r_dst_sum_source_secondfoldnegative_body_steps))) /\ ((((exists fs_h_dst_sum_source_secondfoldnegative_body_steps_successor. fs_h_dst_sum_source_secondfoldnegative_body_steps_successor + S (fs_s_dst_sum_source_secondfoldnegative_body_steps) = S ((S (S fs_i_dst_sum_source_secondfoldnegative_body_steps)) * fs_v_dst_sum_source_secondfoldnegative)) /\ exists fs_q_dst_sum_source_secondfoldnegative_body_steps_successor. fs_u_dst_sum_source_secondfoldnegative = fs_q_dst_sum_source_secondfoldnegative_body_steps_successor * S ((S (S fs_i_dst_sum_source_secondfoldnegative_body_steps)) * fs_v_dst_sum_source_secondfoldnegative) + (fs_s_dst_sum_source_secondfoldnegative_body_steps))) /\ fs_s_dst_sum_source_secondfoldnegative_body_steps = fs_r_dst_sum_source_secondfoldnegative_body_steps + fs_a_dst_sum_source_secondfoldnegative_body_steps)))))) /\ (exists ge_balance_positive_sum_source_secondfoldresult ge_balance_negative_sum_source_secondfoldresult. (((((b) = 2 * (ge_balance_positive_sum_source_secondfoldresult) /\ (ge_balance_negative_sum_source_secondfoldresult) = 0) \/ exists ge_signed_half_sum_source_secondfoldresultdecode. (((b) = 2 * ge_signed_half_sum_source_secondfoldresultdecode + 1 /\ (ge_balance_positive_sum_source_secondfoldresult) = 0) /\ (ge_balance_negative_sum_source_secondfoldresult) = S ge_signed_half_sum_source_secondfoldresultdecode))) /\ ((dst_positive_sum_sum_source_secondfold) + ge_balance_negative_sum_source_secondfoldresult = (dst_negative_sum_sum_source_secondfold) + ge_balance_positive_sum_source_secondfoldresult))))))))))))) -> a=b