LEO-II---2.3.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : LEO-II---2.3.1
% Problem  : ITP040^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Oct  7 10:23:44 AM UTC 2026

% Result   : Theorem 241.77s 40.94s
% Output   : CNFRefutation 241.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   34
%            Number of leaves      :  369
% Syntax   : Number of formulae    : 6133 (2441 unt;   0 typ;   0 def)
%            Number of atoms       : 42655 (15645 equ;   0 cnn)
%            Maximal formula atoms :   13 (   6 avg)
%            Number of connectives : 88471 (11383   ~;10872   |; 204   &;64887   @)
%                                         (   0 <=>;1125  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Number of types       :   34 (  33 usr)
%            Number of type conns  : 4219 (4219   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  258 ( 255 usr;  18 con; 0-4 aty)
%            Number of variables   : 19263 (2071   ^;17159   !;  33   ?;19263   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_c,type,
    c: $tType ).

thf(tp_d,type,
    d: $tType ).

thf(tp_denota231621370t_unit,type,
    denota231621370t_unit: $tType ).

thf(tp_finite1398487019real_c,type,
    finite1398487019real_c: $tType ).

thf(tp_formula_a_b_c,type,
    formula_a_b_c: $tType ).

thf(tp_oDE_a_c,type,
    oDE_a_c: $tType ).

thf(tp_produc190496183real_c,type,
    produc190496183real_c: $tType ).

thf(tp_produc214722967um_c_c,type,
    produc214722967um_c_c: $tType ).

thf(tp_produc957004601l_real,type,
    produc957004601l_real: $tType ).

thf(tp_real,type,
    real: $tType ).

thf(tp_set_Fi1407883041real_c,type,
    set_Fi1407883041real_c: $tType ).

thf(tp_set_Pr1389752855real_c,type,
    set_Pr1389752855real_c: $tType ).

thf(tp_set_Su1008197536um_c_d,type,
    set_Su1008197536um_c_d: $tType ).

thf(tp_set_Su1710027039um_c_c,type,
    set_Su1710027039um_c_c: $tType ).

thf(tp_set_Su1997276704um_c_c,type,
    set_Su1997276704um_c_c: $tType ).

thf(tp_set_Sum_sum_c_c,type,
    set_Sum_sum_c_c: $tType ).

thf(tp_set_Sum_sum_c_c_c,type,
    set_Sum_sum_c_c_c: $tType ).

thf(tp_set_Sum_sum_c_d,type,
    set_Sum_sum_c_d: $tType ).

thf(tp_set_Sum_sum_c_d_c,type,
    set_Sum_sum_c_d_c: $tType ).

thf(tp_set_c,type,
    set_c: $tType ).

thf(tp_set_c_655950471real_c,type,
    set_c_655950471real_c: $tType ).

thf(tp_set_c_Sum_sum_c_c,type,
    set_c_Sum_sum_c_c: $tType ).

thf(tp_set_c_Sum_sum_c_d,type,
    set_c_Sum_sum_c_d: $tType ).

thf(tp_set_c_c,type,
    set_c_c: $tType ).

thf(tp_set_re141277793al_c_c,type,
    set_re141277793al_c_c: $tType ).

thf(tp_set_re1692486081real_c,type,
    set_re1692486081real_c: $tType ).

thf(tp_set_re1812065969um_c_d,type,
    set_re1812065969um_c_d: $tType ).

thf(tp_set_re2066790124real_c,type,
    set_re2066790124real_c: $tType ).

thf(tp_set_re366411824um_c_c,type,
    set_re366411824um_c_c: $tType ).

thf(tp_set_re844416664real_c,type,
    set_re844416664real_c: $tType ).

thf(tp_set_real,type,
    set_real: $tType ).

thf(tp_sum_sum_c_c,type,
    sum_sum_c_c: $tType ).

thf(tp_sum_sum_c_d,type,
    sum_sum_c_d: $tType ).

thf(tp_aa,type,
    aa: finite1398487019real_c ).

thf(tp_ab,type,
    ab: finite1398487019real_c ).

thf(tp_ba,type,
    ba: finite1398487019real_c ).

thf(tp_bb,type,
    bb: finite1398487019real_c ).

thf(tp_coinci501627771_a_b_c,type,
    coinci501627771_a_b_c: formula_a_b_c > $o ).

thf(tp_collec1643251106real_c,type,
    collec1643251106real_c: ( produc190496183real_c > $o ) > set_Pr1389752855real_c ).

thf(tp_collec230941376real_c,type,
    collec230941376real_c: ( finite1398487019real_c > $o ) > set_Fi1407883041real_c ).

thf(tp_collec913357835real_c,type,
    collec913357835real_c: ( ( real > finite1398487019real_c ) > $o ) > set_re2066790124real_c ).

thf(tp_collect_Sum_sum_c_c,type,
    collect_Sum_sum_c_c: ( sum_sum_c_c > $o ) > set_Sum_sum_c_c ).

thf(tp_collect_Sum_sum_c_d,type,
    collect_Sum_sum_c_d: ( sum_sum_c_d > $o ) > set_Sum_sum_c_d ).

thf(tp_collect_c,type,
    collect_c: ( c > $o ) > set_c ).

thf(tp_denota1275485728_a_b_c,type,
    denota1275485728_a_b_c: denota231621370t_unit > oDE_a_c > finite1398487019real_c > finite1398487019real_c ).

thf(tp_denota1293057250_a_b_c,type,
    denota1293057250_a_b_c: denota231621370t_unit > oDE_a_c > set_Sum_sum_c_c ).

thf(tp_denota161327353_a_b_c,type,
    denota161327353_a_b_c: denota231621370t_unit > oDE_a_c > produc190496183real_c > finite1398487019real_c > produc190496183real_c ).

thf(tp_denota1896987029_a_b_c,type,
    denota1896987029_a_b_c: denota231621370t_unit > oDE_a_c > finite1398487019real_c > produc190496183real_c ).

thf(tp_denota1997846518gree_c,type,
    denota1997846518gree_c: produc190496183real_c > produc190496183real_c > set_Sum_sum_c_c > $o ).

thf(tp_denota256060419gree_c,type,
    denota256060419gree_c: finite1398487019real_c > finite1398487019real_c > set_c > $o ).

thf(tp_denota310462944_a_b_c,type,
    denota310462944_a_b_c: denota231621370t_unit > oDE_a_c > produc190496183real_c > finite1398487019real_c > produc190496183real_c ).

thf(tp_denota540094197_a_b_c,type,
    denota540094197_a_b_c: denota231621370t_unit > oDE_a_c > set_c ).

thf(tp_denota968303861_a_b_c,type,
    denota968303861_a_b_c: denota231621370t_unit > formula_a_b_c > set_Pr1389752855real_c ).

thf(tp_denotational_repd_c,type,
    denotational_repd_c: produc190496183real_c > c > real > produc190496183real_c ).

thf(tp_equiv_a_b_c,type,
    equiv_a_b_c: formula_a_b_c > formula_a_b_c > formula_a_b_c ).

thf(tp_finite557796307c_real,type,
    finite557796307c_real: ( c > real ) > finite1398487019real_c ).

thf(tp_finite772340578real_c,type,
    finite772340578real_c: finite1398487019real_c > c > real ).

thf(tp_fsafe_a_b_c,type,
    fsafe_a_b_c: formula_a_b_c > $o ).

thf(tp_i,type,
    i: denota231621370t_unit ).

thf(tp_i2,type,
    i2: c ).

thf(tp_if_Fin36944805real_c,type,
    if_Fin36944805real_c: $o > finite1398487019real_c > finite1398487019real_c > finite1398487019real_c ).

thf(tp_if_real,type,
    if_real: $o > real > real > real ).

thf(tp_image_1226855921real_c,type,
    image_1226855921real_c: ( c > real > finite1398487019real_c ) > set_c > set_re2066790124real_c ).

thf(tp_image_1260608398al_c_c,type,
    image_1260608398al_c_c: ( finite1398487019real_c > c ) > set_Fi1407883041real_c > set_c ).

thf(tp_image_1558941394um_c_c,type,
    image_1558941394um_c_c: ( sum_sum_c_d > sum_sum_c_c ) > set_Sum_sum_c_d > set_Sum_sum_c_c ).

thf(tp_image_1567202899um_c_d,type,
    image_1567202899um_c_d: ( sum_sum_c_d > sum_sum_c_d ) > set_Sum_sum_c_d > set_Sum_sum_c_d ).

thf(tp_image_266490115al_c_c,type,
    image_266490115al_c_c: ( ( real > finite1398487019real_c ) > c ) > set_re2066790124real_c > set_c ).

thf(tp_image_327677598real_c,type,
    image_327677598real_c: ( real > finite1398487019real_c ) > set_real > set_Fi1407883041real_c ).

thf(tp_image_666880337um_c_c,type,
    image_666880337um_c_c: ( sum_sum_c_c > sum_sum_c_c ) > set_Sum_sum_c_c > set_Sum_sum_c_c ).

thf(tp_image_675141842um_c_d,type,
    image_675141842um_c_d: ( sum_sum_c_c > sum_sum_c_d ) > set_Sum_sum_c_c > set_Sum_sum_c_d ).

thf(tp_image_687300774real_c,type,
    image_687300774real_c: ( c > finite1398487019real_c ) > set_c > set_Fi1407883041real_c ).

thf(tp_image_Sum_sum_c_c_c,type,
    image_Sum_sum_c_c_c: ( sum_sum_c_c > c ) > set_Sum_sum_c_c > set_c ).

thf(tp_image_Sum_sum_c_d_c,type,
    image_Sum_sum_c_d_c: ( sum_sum_c_d > c ) > set_Sum_sum_c_d > set_c ).

thf(tp_image_c_Sum_sum_c_c,type,
    image_c_Sum_sum_c_c: ( c > sum_sum_c_c ) > set_c > set_Sum_sum_c_c ).

thf(tp_image_c_Sum_sum_c_d,type,
    image_c_Sum_sum_c_d: ( c > sum_sum_c_d ) > set_c > set_Sum_sum_c_d ).

thf(tp_image_c_c,type,
    image_c_c: ( c > c ) > set_c > set_c ).

thf(tp_image_real_real,type,
    image_real_real: ( real > real ) > set_real > set_real ).

thf(tp_initia1631504802real_c,type,
    initia1631504802real_c: ( real > finite1398487019real_c ) > ( real > finite1398487019real_c > finite1398487019real_c ) > set_real > set_Fi1407883041real_c > $o ).

thf(tp_member1261661570real_c,type,
    member1261661570real_c: finite1398487019real_c > set_Fi1407883041real_c > $o ).

thf(tp_member1321351885real_c,type,
    member1321351885real_c: ( real > finite1398487019real_c ) > set_re2066790124real_c > $o ).

thf(tp_member1326674048um_c_c,type,
    member1326674048um_c_c: ( sum_sum_c_c > sum_sum_c_c ) > set_Su1710027039um_c_c > $o ).

thf(tp_member1494186770um_c_d,type,
    member1494186770um_c_d: ( ( real > finite1398487019real_c ) > sum_sum_c_d ) > set_re1812065969um_c_d > $o ).

thf(tp_member1851015714real_c,type,
    member1851015714real_c: ( ( real > finite1398487019real_c ) > real > finite1398487019real_c ) > set_re1692486081real_c > $o ).

thf(tp_member1895684704real_c,type,
    member1895684704real_c: produc190496183real_c > set_Pr1389752855real_c > $o ).

thf(tp_member318754689um_c_d,type,
    member318754689um_c_d: ( sum_sum_c_c > sum_sum_c_d ) > set_Su1008197536um_c_d > $o ).

thf(tp_member354622481um_c_c,type,
    member354622481um_c_c: ( ( real > finite1398487019real_c ) > sum_sum_c_c ) > set_re366411824um_c_c > $o ).

thf(tp_member469531344real_c,type,
    member469531344real_c: ( c > real > finite1398487019real_c ) > set_c_655950471real_c > $o ).

thf(tp_member527957930al_c_c,type,
    member527957930al_c_c: ( ( real > finite1398487019real_c ) > c ) > set_re141277793al_c_c > $o ).

thf(tp_member71251457um_c_c,type,
    member71251457um_c_c: ( sum_sum_c_d > sum_sum_c_c ) > set_Su1997276704um_c_c > $o ).

thf(tp_member954762593real_c,type,
    member954762593real_c: ( ( real > finite1398487019real_c ) > produc190496183real_c ) > set_re844416664real_c > $o ).

thf(tp_member_Sum_sum_c_c,type,
    member_Sum_sum_c_c: sum_sum_c_c > set_Sum_sum_c_c > $o ).

thf(tp_member_Sum_sum_c_c_c,type,
    member_Sum_sum_c_c_c: ( sum_sum_c_c > c ) > set_Sum_sum_c_c_c > $o ).

thf(tp_member_Sum_sum_c_d,type,
    member_Sum_sum_c_d: sum_sum_c_d > set_Sum_sum_c_d > $o ).

thf(tp_member_Sum_sum_c_d_c,type,
    member_Sum_sum_c_d_c: ( sum_sum_c_d > c ) > set_Sum_sum_c_d_c > $o ).

thf(tp_member_c,type,
    member_c: c > set_c > $o ).

thf(tp_member_c_Sum_sum_c_c,type,
    member_c_Sum_sum_c_c: ( c > sum_sum_c_c ) > set_c_Sum_sum_c_c > $o ).

thf(tp_member_c_Sum_sum_c_d,type,
    member_c_Sum_sum_c_d: ( c > sum_sum_c_d ) > set_c_Sum_sum_c_d > $o ).

thf(tp_member_c_c,type,
    member_c_c: ( c > c ) > set_c_c > $o ).

thf(tp_member_real,type,
    member_real: real > set_real > $o ).

thf(tp_oDEa,type,
    oDEa: oDE_a_c ).

thf(tp_ode,type,
    ode: oDE_a_c ).

thf(tp_ord_le1132241894al_c_o,type,
    ord_le1132241894al_c_o: ( produc190496183real_c > $o ) > ( produc190496183real_c > $o ) > $o ).

thf(tp_ord_le1315653386_c_c_o,type,
    ord_le1315653386_c_c_o: ( sum_sum_c_c > $o ) > ( sum_sum_c_c > $o ) > $o ).

thf(tp_ord_le1327118209real_c,type,
    ord_le1327118209real_c: set_Fi1407883041real_c > set_Fi1407883041real_c > $o ).

thf(tp_ord_le1342644953l_real,type,
    ord_le1342644953l_real: produc957004601l_real > produc957004601l_real > $o ).

thf(tp_ord_le1772180283um_c_c,type,
    ord_le1772180283um_c_c: set_Sum_sum_c_c > set_Sum_sum_c_c > $o ).

thf(tp_ord_le2143422793_c_d_o,type,
    ord_le2143422793_c_d_o: ( sum_sum_c_d > $o ) > ( sum_sum_c_d > $o ) > $o ).

thf(tp_ord_le35002188real_c,type,
    ord_le35002188real_c: set_re2066790124real_c > set_re2066790124real_c > $o ).

thf(tp_ord_le584953750real_c,type,
    ord_le584953750real_c: ( real > finite1398487019real_c ) > ( real > finite1398487019real_c ) > $o ).

thf(tp_ord_le764260924um_c_d,type,
    ord_le764260924um_c_d: set_Sum_sum_c_d > set_Sum_sum_c_d > $o ).

thf(tp_ord_le775706699real_c,type,
    ord_le775706699real_c: finite1398487019real_c > finite1398487019real_c > $o ).

thf(tp_ord_le818951225al_c_o,type,
    ord_le818951225al_c_o: ( ( real > finite1398487019real_c ) > $o ) > ( ( real > finite1398487019real_c ) > $o ) > $o ).

thf(tp_ord_le850691415real_c,type,
    ord_le850691415real_c: produc190496183real_c > produc190496183real_c > $o ).

thf(tp_ord_le977353143real_c,type,
    ord_le977353143real_c: set_Pr1389752855real_c > set_Pr1389752855real_c > $o ).

thf(tp_ord_less_eq_c_o,type,
    ord_less_eq_c_o: ( c > $o ) > ( c > $o ) > $o ).

thf(tp_ord_less_eq_real,type,
    ord_less_eq_real: real > real > $o ).

thf(tp_ord_less_eq_set_c,type,
    ord_less_eq_set_c: set_c > set_c > $o ).

thf(tp_ord_less_eq_set_real,type,
    ord_less_eq_set_real: set_real > set_real > $o ).

thf(tp_osafe_a_c,type,
    osafe_a_c: oDE_a_c > $o ).

thf(tp_p,type,
    p: formula_a_b_c ).

thf(tp_phi,type,
    phi: formula_a_b_c ).

thf(tp_pi_Sum1145067928um_c_c,type,
    pi_Sum1145067928um_c_c: set_Sum_sum_c_d > ( sum_sum_c_d > set_Sum_sum_c_c ) > set_Su1997276704um_c_c ).

thf(tp_pi_Sum253006871um_c_c,type,
    pi_Sum253006871um_c_c: set_Sum_sum_c_c > ( sum_sum_c_c > set_Sum_sum_c_c ) > set_Su1710027039um_c_c ).

thf(tp_pi_Sum261268376um_c_d,type,
    pi_Sum261268376um_c_d: set_Sum_sum_c_c > ( sum_sum_c_c > set_Sum_sum_c_d ) > set_Su1008197536um_c_d ).

thf(tp_pi_Sum_sum_c_c_c,type,
    pi_Sum_sum_c_c_c: set_Sum_sum_c_c > ( sum_sum_c_c > set_c ) > set_Sum_sum_c_c_c ).

thf(tp_pi_Sum_sum_c_d_c,type,
    pi_Sum_sum_c_d_c: set_Sum_sum_c_d > ( sum_sum_c_d > set_c ) > set_Sum_sum_c_d_c ).

thf(tp_pi_c_Sum_sum_c_c,type,
    pi_c_Sum_sum_c_c: set_c > ( c > set_Sum_sum_c_c ) > set_c_Sum_sum_c_c ).

thf(tp_pi_c_Sum_sum_c_d,type,
    pi_c_Sum_sum_c_d: set_c > ( c > set_Sum_sum_c_d ) > set_c_Sum_sum_c_d ).

thf(tp_pi_c_c,type,
    pi_c_c: set_c > ( c > set_c ) > set_c_c ).

thf(tp_pi_c_r41638571real_c,type,
    pi_c_r41638571real_c: set_c > ( c > set_re2066790124real_c ) > set_c_655950471real_c ).

thf(tp_pi_rea1111636068real_c,type,
    pi_rea1111636068real_c: set_real > ( real > set_Fi1407883041real_c ) > set_re2066790124real_c ).

thf(tp_pi_rea1228756413al_c_c,type,
    pi_rea1228756413al_c_c: set_re2066790124real_c > ( ( real > finite1398487019real_c ) > set_c ) > set_re141277793al_c_c ).

thf(tp_pi_rea1379668980real_c,type,
    pi_rea1379668980real_c: set_re2066790124real_c > ( ( real > finite1398487019real_c ) > set_Pr1389752855real_c ) > set_re844416664real_c ).

thf(tp_pi_rea1386151481real_c,type,
    pi_rea1386151481real_c: set_re2066790124real_c > ( ( real > finite1398487019real_c ) > set_re2066790124real_c ) > set_re1692486081real_c ).

thf(tp_pi_rea1500330408um_c_c,type,
    pi_rea1500330408um_c_c: set_re2066790124real_c > ( ( real > finite1398487019real_c ) > set_Sum_sum_c_c ) > set_re366411824um_c_c ).

thf(tp_pi_rea1508591913um_c_d,type,
    pi_rea1508591913um_c_d: set_re2066790124real_c > ( ( real > finite1398487019real_c ) > set_Sum_sum_c_d ) > set_re1812065969um_c_d ).

thf(tp_produc1132019837um_c_c,type,
    produc1132019837um_c_c: produc214722967um_c_c > set_Sum_sum_c_c ).

thf(tp_produc1407670175l_real,type,
    produc1407670175l_real: produc957004601l_real > real ).

thf(tp_produc1422991709l_real,type,
    produc1422991709l_real: produc957004601l_real > real ).

thf(tp_produc1439061071um_c_c,type,
    produc1439061071um_c_c: set_Sum_sum_c_c > set_Sum_sum_c_c > produc214722967um_c_c ).

thf(tp_produc1983230011um_c_c,type,
    produc1983230011um_c_c: produc214722967um_c_c > set_Sum_sum_c_c ).

thf(tp_produc2010422875real_c,type,
    produc2010422875real_c: produc190496183real_c > finite1398487019real_c ).

thf(tp_produc314122909real_c,type,
    produc314122909real_c: produc190496183real_c > finite1398487019real_c ).

thf(tp_produc394644079real_c,type,
    produc394644079real_c: finite1398487019real_c > finite1398487019real_c > produc190496183real_c ).

thf(tp_produc705216881l_real,type,
    produc705216881l_real: real > real > produc957004601l_real ).

thf(tp_sK100_SY2491,type,
    sK100_SY2491: ( c > sum_sum_c_c ) > sum_sum_c_c > set_c > c ).

thf(tp_sK101_SY2581,type,
    sK101_SY2581: ( c > sum_sum_c_c ) > set_Sum_sum_c_c > set_c > set_c ).

thf(tp_sK102_SY2673,type,
    sK102_SY2673: produc190496183real_c > produc190496183real_c > set_Sum_sum_c_c > c ).

thf(tp_sK103_SY2511,type,
    sK103_SY2511: sum_sum_c_c > ( c > sum_sum_c_c ) > ( sum_sum_c_c > $o ) > set_c > c ).

thf(tp_sK104_SY2585,type,
    sK104_SY2585: sum_sum_c_d > ( c > sum_sum_c_d ) > ( sum_sum_c_d > $o ) > set_c > c ).

thf(tp_sK105_SY2674,type,
    sK105_SY2674: produc190496183real_c > produc190496183real_c > set_Sum_sum_c_c > c ).

thf(tp_sK106_SY2674,type,
    sK106_SY2674: produc190496183real_c > produc190496183real_c > set_Sum_sum_c_c > c ).

thf(tp_sK107_SY2402,type,
    sK107_SY2402: set_c > ( c > sum_sum_c_d ) > set_Sum_sum_c_d > set_c > set_c ).

thf(tp_sK108_SY2406,type,
    sK108_SY2406: c > ( c > sum_sum_c_d ) > sum_sum_c_d > set_c > c ).

thf(tp_sK109_SY2491,type,
    sK109_SY2491: c > ( c > sum_sum_c_c ) > sum_sum_c_c > set_c > c ).

thf(tp_sK10_SY2212,type,
    sK10_SY2212: set_re2066790124real_c > set_re2066790124real_c > real > finite1398487019real_c ).

thf(tp_sK110_SY2581,type,
    sK110_SY2581: set_c > ( c > sum_sum_c_c ) > set_Sum_sum_c_c > set_c > set_c ).

thf(tp_sK11_SY2213,type,
    sK11_SY2213: ( c > $o ) > ( c > $o ) > c ).

thf(tp_sK12_SY2250,type,
    sK12_SY2250: ( c > $o ) > ( c > $o ) > c ).

thf(tp_sK13_SY2313,type,
    sK13_SY2313: set_Pr1389752855real_c > set_Pr1389752855real_c > produc190496183real_c ).

thf(tp_sK14_SY2329,type,
    sK14_SY2329: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(tp_sK15_SY2621,type,
    sK15_SY2621: finite1398487019real_c > oDE_a_c > denota231621370t_unit > produc190496183real_c > produc190496183real_c ).

thf(tp_sK16_SY2407,type,
    sK16_SY2407: set_re2066790124real_c > ( c > real > finite1398487019real_c ) > set_c > c ).

thf(tp_sK17_SY2412,type,
    sK17_SY2412: set_Sum_sum_c_c > ( sum_sum_c_d > sum_sum_c_c ) > set_Sum_sum_c_d > sum_sum_c_d ).

thf(tp_sK18_SY2415,type,
    sK18_SY2415: ( sum_sum_c_c > set_Sum_sum_c_d ) > ( sum_sum_c_c > sum_sum_c_d ) > set_Sum_sum_c_c > sum_sum_c_c ).

thf(tp_sK19_SY2417,type,
    sK19_SY2417: ( sum_sum_c_d > set_c ) > ( sum_sum_c_d > c ) > set_Sum_sum_c_d > sum_sum_c_d ).

thf(tp_sK1_SY1386,type,
    sK1_SY1386: produc190496183real_c > finite1398487019real_c ).

thf(tp_sK20_SY2418,type,
    sK20_SY2418: ( sum_sum_c_c > $o ) > set_c > ( c > sum_sum_c_c ) > sum_sum_c_c ).

thf(tp_sK21_SY2420,type,
    sK21_SY2420: set_Sum_sum_c_d > ( sum_sum_c_c > sum_sum_c_d ) > set_Sum_sum_c_c > sum_sum_c_c ).

thf(tp_sK22_SY2658,type,
    sK22_SY2658: produc190496183real_c > ( produc190496183real_c > $o ) > finite1398487019real_c ).

thf(tp_sK23_SY2425,type,
    sK23_SY2425: set_c > ( c > c ) > set_c > c ).

thf(tp_sK24_SY2659,type,
    sK24_SY2659: produc190496183real_c > ( produc190496183real_c > $o ) > finite1398487019real_c ).

thf(tp_sK25_SY2433,type,
    sK25_SY2433: set_c > ( sum_sum_c_d > c ) > set_Sum_sum_c_d > sum_sum_c_d ).

thf(tp_sK26_SY2438,type,
    sK26_SY2438: produc190496183real_c > finite1398487019real_c ).

thf(tp_sK27_SY2444,type,
    sK27_SY2444: set_c > ( c > c ) > set_c > c ).

thf(tp_sK28_SY2445,type,
    sK28_SY2445: set_Sum_sum_c_d > ( c > sum_sum_c_d ) > set_c > c ).

thf(tp_sK29_SY2456,type,
    sK29_SY2456: set_Sum_sum_c_d > ( sum_sum_c_d > sum_sum_c_d ) > set_Sum_sum_c_d > sum_sum_c_d ).

thf(tp_sK2_SY1870,type,
    sK2_SY1870: produc190496183real_c > finite1398487019real_c ).

thf(tp_sK30_SY2458,type,
    sK30_SY2458: set_Sum_sum_c_c > ( sum_sum_c_c > sum_sum_c_c ) > set_Sum_sum_c_c > sum_sum_c_c ).

thf(tp_sK31_SY2460,type,
    sK31_SY2460: ( real > set_Fi1407883041real_c ) > ( real > finite1398487019real_c ) > set_real > real ).

thf(tp_sK32_SY2464,type,
    sK32_SY2464: ( c > set_c ) > ( c > c ) > set_c > c ).

thf(tp_sK33_SY2466,type,
    sK33_SY2466: set_Sum_sum_c_c > ( sum_sum_c_d > sum_sum_c_c ) > set_Sum_sum_c_d > sum_sum_c_d ).

thf(tp_sK34_SY2469,type,
    sK34_SY2469: ( sum_sum_c_c > set_Sum_sum_c_d ) > ( sum_sum_c_c > sum_sum_c_d ) > set_Sum_sum_c_c > sum_sum_c_c ).

thf(tp_sK35_SY2473,type,
    sK35_SY2473: set_c > ( sum_sum_c_c > c ) > set_Sum_sum_c_c > sum_sum_c_c ).

thf(tp_sK36_SY2476,type,
    sK36_SY2476: ( c > set_re2066790124real_c ) > ( c > real > finite1398487019real_c ) > set_c > c ).

thf(tp_sK37_SY2484,type,
    sK37_SY2484: set_c > ( sum_sum_c_c > c ) > set_Sum_sum_c_c > sum_sum_c_c ).

thf(tp_sK38_SY2489,type,
    sK38_SY2489: ( sum_sum_c_d > $o ) > set_c > ( c > sum_sum_c_d ) > sum_sum_c_d ).

thf(tp_sK39_SY2493,type,
    sK39_SY2493: ( sum_sum_c_c > set_Sum_sum_c_c ) > ( sum_sum_c_c > sum_sum_c_c ) > set_Sum_sum_c_c > sum_sum_c_c ).

thf(tp_sK3_SY2591,type,
    sK3_SY2591: produc190496183real_c > finite1398487019real_c ).

thf(tp_sK40_SY2494,type,
    sK40_SY2494: ( real > set_Fi1407883041real_c ) > ( real > finite1398487019real_c ) > set_real > real ).

thf(tp_sK41_SY2512,type,
    sK41_SY2512: ( c > set_Sum_sum_c_d ) > ( c > sum_sum_c_d ) > set_c > c ).

thf(tp_sK42_SY2516,type,
    sK42_SY2516: set_Sum_sum_c_d > ( c > sum_sum_c_d ) > set_c > c ).

thf(tp_sK43_SY2519,type,
    sK43_SY2519: set_Sum_sum_c_d > ( sum_sum_c_c > sum_sum_c_d ) > set_Sum_sum_c_c > sum_sum_c_c ).

thf(tp_sK44_SY2524,type,
    sK44_SY2524: set_re2066790124real_c > ( c > real > finite1398487019real_c ) > set_c > c ).

thf(tp_sK45_SY2525,type,
    sK45_SY2525: ( sum_sum_c_d > set_c ) > ( sum_sum_c_d > c ) > set_Sum_sum_c_d > sum_sum_c_d ).

thf(tp_sK46_SY2526,type,
    sK46_SY2526: set_Sum_sum_c_c > ( sum_sum_c_c > sum_sum_c_c ) > set_Sum_sum_c_c > sum_sum_c_c ).

thf(tp_sK47_SY2532,type,
    sK47_SY2532: set_c > ( sum_sum_c_d > c ) > set_Sum_sum_c_d > sum_sum_c_d ).

thf(tp_sK48_SY2537,type,
    sK48_SY2537: set_Fi1407883041real_c > ( real > finite1398487019real_c ) > set_real > real ).

thf(tp_sK49_SY2542,type,
    sK49_SY2542: ( c > set_Sum_sum_c_c ) > ( c > sum_sum_c_c ) > set_c > c ).

thf(tp_sK4_SY1951,type,
    sK4_SY1951: set_Sum_sum_c_d > set_Sum_sum_c_d > sum_sum_c_d ).

thf(tp_sK50_SY2543,type,
    sK50_SY2543: set_Sum_sum_c_c > ( c > sum_sum_c_c ) > set_c > c ).

thf(tp_sK51_SY2547,type,
    sK51_SY2547: ( c > set_re2066790124real_c ) > ( c > real > finite1398487019real_c ) > set_c > c ).

thf(tp_sK52_SY2550,type,
    sK52_SY2550: ( sum_sum_c_c > set_Sum_sum_c_c ) > ( sum_sum_c_c > sum_sum_c_c ) > set_Sum_sum_c_c > sum_sum_c_c ).

thf(tp_sK53_SY2553,type,
    sK53_SY2553: ( c > set_Sum_sum_c_c ) > ( c > sum_sum_c_c ) > set_c > c ).

thf(tp_sK54_SY2558,type,
    sK54_SY2558: ( c > set_c ) > ( c > c ) > set_c > c ).

thf(tp_sK55_SY2562,type,
    sK55_SY2562: ( sum_sum_c_d > set_Sum_sum_c_c ) > ( sum_sum_c_d > sum_sum_c_c ) > set_Sum_sum_c_d > sum_sum_c_d ).

thf(tp_sK56_SY2567,type,
    sK56_SY2567: ( sum_sum_c_d > set_Sum_sum_c_c ) > ( sum_sum_c_d > sum_sum_c_c ) > set_Sum_sum_c_d > sum_sum_c_d ).

thf(tp_sK57_SY2568,type,
    sK57_SY2568: ( c > set_Sum_sum_c_d ) > ( c > sum_sum_c_d ) > set_c > c ).

thf(tp_sK58_SY2570,type,
    sK58_SY2570: ( sum_sum_c_c > set_c ) > ( sum_sum_c_c > c ) > set_Sum_sum_c_c > sum_sum_c_c ).

thf(tp_sK59_SY2573,type,
    sK59_SY2573: ( sum_sum_c_c > set_c ) > ( sum_sum_c_c > c ) > set_Sum_sum_c_c > sum_sum_c_c ).

thf(tp_sK5_SY1346,type,
    sK5_SY1346: produc190496183real_c > ( produc190496183real_c > $o ) > finite1398487019real_c ).

thf(tp_sK60_SY2592,type,
    sK60_SY2592: set_Sum_sum_c_c > ( c > sum_sum_c_c ) > set_c > c ).

thf(tp_sK61_SY1885,type,
    sK61_SY1885: ( c > real ) > finite1398487019real_c > c ).

thf(tp_sK62_SY2409,type,
    sK62_SY2409: set_Sum_sum_c_c > ( sum_sum_c_c > c ) > c > sum_sum_c_c ).

thf(tp_sK63_SY2429,type,
    sK63_SY2429: set_c > ( c > c ) > c > c ).

thf(tp_sK64_SY2024,type,
    sK64_SY2024: ( finite1398487019real_c > $o ) > ( finite1398487019real_c > $o ) > finite1398487019real_c ).

thf(tp_sK65_SY2430,type,
    sK65_SY2430: set_c > ( c > sum_sum_c_d ) > sum_sum_c_d > c ).

thf(tp_sK66_SY2432,type,
    sK66_SY2432: ( real > set_Fi1407883041real_c ) > ( real > finite1398487019real_c ) > ( real > finite1398487019real_c ) > set_real > real ).

thf(tp_sK67_SY2465,type,
    sK67_SY2465: ( c > sum_sum_c_c ) > set_Sum_sum_c_c > set_c > set_c ).

thf(tp_sK68_SY2475,type,
    sK68_SY2475: set_Sum_sum_c_d > ( sum_sum_c_d > sum_sum_c_c ) > sum_sum_c_c > sum_sum_c_d ).

thf(tp_sK69_SY2500,type,
    sK69_SY2500: set_c > ( c > sum_sum_c_c ) > sum_sum_c_c > c ).

thf(tp_sK6_SY2016,type,
    sK6_SY2016: ( finite1398487019real_c > $o ) > ( finite1398487019real_c > $o ) > finite1398487019real_c ).

thf(tp_sK70_SY2504,type,
    sK70_SY2504: ( c > sum_sum_c_d ) > set_Sum_sum_c_d > set_c > set_c ).

thf(tp_sK71_SY2509,type,
    sK71_SY2509: set_re2066790124real_c > ( ( real > finite1398487019real_c ) > c ) > c > real > finite1398487019real_c ).

thf(tp_sK72_SY2211,type,
    sK72_SY2211: ( c > $o ) > ( c > $o ) > c ).

thf(tp_sK73_SY2552,type,
    sK73_SY2552: set_Sum_sum_c_c > ( sum_sum_c_c > sum_sum_c_d ) > sum_sum_c_d > sum_sum_c_c ).

thf(tp_sK74_SY2565,type,
    sK74_SY2565: set_Sum_sum_c_c > ( sum_sum_c_c > sum_sum_c_c ) > sum_sum_c_c > sum_sum_c_c ).

thf(tp_sK75_SY2566,type,
    sK75_SY2566: set_Sum_sum_c_d > ( sum_sum_c_d > c ) > c > sum_sum_c_d ).

thf(tp_sK76_SY2569,type,
    sK76_SY2569: set_Sum_sum_c_d > ( sum_sum_c_d > sum_sum_c_d ) > sum_sum_c_d > sum_sum_c_d ).

thf(tp_sK77_SV963,type,
    sK77_SV963: finite1398487019real_c > finite1398487019real_c > c ).

thf(tp_sK78_SY2440,type,
    sK78_SY2440: set_Sum_sum_c_d > ( c > sum_sum_c_d ) > set_c > c ).

thf(tp_sK79_SY2448,type,
    sK79_SY2448: set_Sum_sum_c_c > ( c > sum_sum_c_c ) > set_c > c ).

thf(tp_sK7_SY1355,type,
    sK7_SY1355: produc190496183real_c > ( produc190496183real_c > $o ) > finite1398487019real_c ).

thf(tp_sK80_SV967,type,
    sK80_SV967: set_c > c > ( c > real > finite1398487019real_c ) > ( real > finite1398487019real_c ) > real ).

thf(tp_sK81_SY2577,type,
    sK81_SY2577: ( real > set_Fi1407883041real_c ) > ( real > finite1398487019real_c ) > set_real > real ).

thf(tp_sK82_SY2596,type,
    sK82_SY2596: finite1398487019real_c > finite1398487019real_c > c ).

thf(tp_sK83_SY2597,type,
    sK83_SY2597: finite1398487019real_c > finite1398487019real_c > c ).

thf(tp_sK84_SY2624,type,
    sK84_SY2624: set_Sum_sum_c_d > set_Sum_sum_c_d > sum_sum_c_d ).

thf(tp_sK85_SY2625,type,
    sK85_SY2625: set_re2066790124real_c > set_re2066790124real_c > real > finite1398487019real_c ).

thf(tp_sK86_SY2635,type,
    sK86_SY2635: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(tp_sK87_SY2636,type,
    sK87_SY2636: set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).

thf(tp_sK88_SY2637,type,
    sK88_SY2637: set_c > set_c > c ).

thf(tp_sK89_SY2638,type,
    sK89_SY2638: set_c > ( c > sum_sum_c_c ) > ( c > sum_sum_c_c ) > set_c > c ).

thf(tp_sK8_SY2117,type,
    sK8_SY2117: set_c > set_c > c ).

thf(tp_sK90_SY2639,type,
    sK90_SY2639: set_Sum_sum_c_d > set_Sum_sum_c_d > sum_sum_c_d ).

thf(tp_sK91_SY2640,type,
    sK91_SY2640: set_c > set_c > c ).

thf(tp_sK92_SY2643,type,
    sK92_SY2643: set_re2066790124real_c > set_re2066790124real_c > real > finite1398487019real_c ).

thf(tp_sK93_SY2644,type,
    sK93_SY2644: set_Pr1389752855real_c > set_Pr1389752855real_c > produc190496183real_c ).

thf(tp_sK94_SY2646,type,
    sK94_SY2646: set_c > ( c > sum_sum_c_d ) > ( c > sum_sum_c_d ) > set_c > c ).

thf(tp_sK95_SY2647,type,
    sK95_SY2647: set_Pr1389752855real_c > set_Pr1389752855real_c > produc190496183real_c ).

thf(tp_sK96_SV978,type,
    sK96_SV978: set_c > c > ( c > real > finite1398487019real_c ) > ( real > finite1398487019real_c ) > real ).

thf(tp_sK97_SY2672,type,
    sK97_SY2672: finite1398487019real_c > finite1398487019real_c > set_c > c ).

thf(tp_sK98_SY2402,type,
    sK98_SY2402: ( c > sum_sum_c_d ) > set_Sum_sum_c_d > set_c > set_c ).

thf(tp_sK99_SY2406,type,
    sK99_SY2406: ( c > sum_sum_c_d ) > sum_sum_c_d > set_c > c ).

thf(tp_sK9_SY2128,type,
    sK9_SY2128: ( finite1398487019real_c > $o ) > ( finite1398487019real_c > $o ) > finite1398487019real_c ).

thf(tp_set_or1308937537real_c,type,
    set_or1308937537real_c: ( real > finite1398487019real_c ) > ( real > finite1398487019real_c ) > set_re2066790124real_c ).

thf(tp_set_or385782508real_c,type,
    set_or385782508real_c: produc190496183real_c > produc190496183real_c > set_Pr1389752855real_c ).

thf(tp_set_or656347191t_real,type,
    set_or656347191t_real: real > real > set_real ).

thf(tp_sol,type,
    sol: real > finite1398487019real_c ).

thf(tp_static_BVO_a_c,type,
    static_BVO_a_c: oDE_a_c > set_Sum_sum_c_c ).

thf(tp_static_FVF_a_b_c,type,
    static_FVF_a_b_c: formula_a_b_c > set_Sum_sum_c_c ).

thf(tp_static_FVO_a_c,type,
    static_FVO_a_c: oDE_a_c > set_c ).

thf(tp_sum_Inl_c_c,type,
    sum_Inl_c_c: c > sum_sum_c_c ).

thf(tp_sum_Inl_c_d,type,
    sum_Inl_c_d: c > sum_sum_c_d ).

thf(tp_sum_Inr_c_c,type,
    sum_Inr_c_c: c > sum_sum_c_c ).

thf(tp_sum_Inr_d_c,type,
    sum_Inr_d_c: d > sum_sum_c_d ).

thf(tp_t,type,
    t: real ).

thf(tp_uminus102402154real_c,type,
    uminus102402154real_c: set_Fi1407883041real_c > set_Fi1407883041real_c ).

thf(tp_uminus1225118734um_c_c,type,
    uminus1225118734um_c_c: produc214722967um_c_c > produc214722967um_c_c ).

thf(tp_uminus1381786404um_c_c,type,
    uminus1381786404um_c_c: set_Sum_sum_c_c > set_Sum_sum_c_c ).

thf(tp_uminus1737280820real_c,type,
    uminus1737280820real_c: finite1398487019real_c > finite1398487019real_c ).

thf(tp_uminus1756072592al_c_o,type,
    uminus1756072592al_c_o: ( ( real > finite1398487019real_c ) > $o ) > ( real > finite1398487019real_c ) > $o ).

thf(tp_uminus17964590real_c,type,
    uminus17964590real_c: produc190496183real_c > produc190496183real_c ).

thf(tp_uminus232257166real_c,type,
    uminus232257166real_c: set_Pr1389752855real_c > set_Pr1389752855real_c ).

thf(tp_uminus23580315al_c_o,type,
    uminus23580315al_c_o: ( finite1398487019real_c > $o ) > finite1398487019real_c > $o ).

thf(tp_uminus32155087al_c_o,type,
    uminus32155087al_c_o: ( produc190496183real_c > $o ) > produc190496183real_c > $o ).

thf(tp_uminus373867045um_c_d,type,
    uminus373867045um_c_d: set_Sum_sum_c_d > set_Sum_sum_c_d ).

thf(tp_uminus88729697_c_c_o,type,
    uminus88729697_c_c_o: ( sum_sum_c_c > $o ) > sum_sum_c_c > $o ).

thf(tp_uminus916499104_c_d_o,type,
    uminus916499104_c_d_o: ( sum_sum_c_d > $o ) > sum_sum_c_d > $o ).

thf(tp_uminus946614837real_c,type,
    uminus946614837real_c: set_re2066790124real_c > set_re2066790124real_c ).

thf(tp_uminus_uminus_c_o,type,
    uminus_uminus_c_o: ( c > $o ) > c > $o ).

thf(tp_uminus_uminus_real,type,
    uminus_uminus_real: real > real ).

thf(tp_uminus_uminus_set_c,type,
    uminus_uminus_set_c: set_c > set_c ).

thf(tp_x,type,
    x: real ).

thf(tp_zero_z109254132real_c,type,
    zero_z109254132real_c: finite1398487019real_c ).

thf(tp_zero_z1506780526real_c,type,
    zero_z1506780526real_c: produc190496183real_c ).

thf(tp_zero_z659284464l_real,type,
    zero_z659284464l_real: produc957004601l_real ).

thf(tp_zero_zero_real,type,
    zero_zero_real: real ).

thf(1,axiom,
    ! [X: finite1398487019real_c,Y: finite1398487019real_c] :
      ( ( if_Fin36944805real_c @ $true @ X @ Y )
      = X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_If_1_1_If_001t__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J_T) ).

thf(2,axiom,
    ! [X: finite1398487019real_c,Y: finite1398487019real_c] :
      ( ( if_Fin36944805real_c @ $false @ X @ Y )
      = Y ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_If_2_1_If_001t__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J_T) ).

thf(3,axiom,
    ! [P: $o] :
      ( ( P = $true )
      | ( P = $false ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_If_3_1_If_001t__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__c_J_T) ).

thf(4,axiom,
    ! [X: real,Y: real] :
      ( ( if_real @ $true @ X @ Y )
      = X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_If_1_1_If_001t__Real__Oreal_T) ).

thf(5,axiom,
    ! [X: real,Y: real] :
      ( ( if_real @ $false @ X @ Y )
      = Y ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_If_2_1_If_001t__Real__Oreal_T) ).

thf(6,axiom,
    ! [F: real > finite1398487019real_c,A4: set_real,B4: set_Fi1407883041real_c,X: real] :
      ( ( member1321351885real_c @ F
        @ ( pi_rea1111636068real_c @ A4
          @ ^ [Uu: real] : B4 ) )
     => ( ( member_real @ X @ A4 )
       => ( member1261661570real_c @ ( F @ X ) @ B4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_351_funcset__mem) ).

thf(7,axiom,
    ! [F: ( real > finite1398487019real_c ) > real > finite1398487019real_c,A4: set_re2066790124real_c,B4: set_re2066790124real_c,X: real > finite1398487019real_c] :
      ( ( member1851015714real_c @ F
        @ ( pi_rea1386151481real_c @ A4
          @ ^ [Uu: real > finite1398487019real_c] : B4 ) )
     => ( ( member1321351885real_c @ X @ A4 )
       => ( member1321351885real_c @ ( F @ X ) @ B4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_350_funcset__mem) ).

thf(8,axiom,
    ! [F: ( real > finite1398487019real_c ) > produc190496183real_c,A4: set_re2066790124real_c,B4: set_Pr1389752855real_c,X: real > finite1398487019real_c] :
      ( ( member954762593real_c @ F
        @ ( pi_rea1379668980real_c @ A4
          @ ^ [Uu: real > finite1398487019real_c] : B4 ) )
     => ( ( member1321351885real_c @ X @ A4 )
       => ( member1895684704real_c @ ( F @ X ) @ B4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_349_funcset__mem) ).

thf(9,axiom,
    ! [F: ( real > finite1398487019real_c ) > sum_sum_c_d,A4: set_re2066790124real_c,B4: set_Sum_sum_c_d,X: real > finite1398487019real_c] :
      ( ( member1494186770um_c_d @ F
        @ ( pi_rea1508591913um_c_d @ A4
          @ ^ [Uu: real > finite1398487019real_c] : B4 ) )
     => ( ( member1321351885real_c @ X @ A4 )
       => ( member_Sum_sum_c_d @ ( F @ X ) @ B4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_348_funcset__mem) ).

thf(10,axiom,
    ! [F: ( real > finite1398487019real_c ) > c,A4: set_re2066790124real_c,B4: set_c,X: real > finite1398487019real_c] :
      ( ( member527957930al_c_c @ F
        @ ( pi_rea1228756413al_c_c @ A4
          @ ^ [Uu: real > finite1398487019real_c] : B4 ) )
     => ( ( member1321351885real_c @ X @ A4 )
       => ( member_c @ ( F @ X ) @ B4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_347_funcset__mem) ).

thf(11,axiom,
    ! [F: ( real > finite1398487019real_c ) > sum_sum_c_c,A4: set_re2066790124real_c,B4: set_Sum_sum_c_c,X: real > finite1398487019real_c] :
      ( ( member354622481um_c_c @ F
        @ ( pi_rea1500330408um_c_c @ A4
          @ ^ [Uu: real > finite1398487019real_c] : B4 ) )
     => ( ( member1321351885real_c @ X @ A4 )
       => ( member_Sum_sum_c_c @ ( F @ X ) @ B4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_346_funcset__mem) ).

thf(12,axiom,
    ! [A4: set_Sum_sum_c_d,F: sum_sum_c_d > sum_sum_c_c,B4: set_Sum_sum_c_c] :
      ( ! [X4: sum_sum_c_d] :
          ( ( member_Sum_sum_c_d @ X4 @ A4 )
         => ( member_Sum_sum_c_c @ ( F @ X4 ) @ B4 ) )
     => ( member71251457um_c_c @ F
        @ ( pi_Sum1145067928um_c_c @ A4
          @ ^ [Uu: sum_sum_c_d] : B4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_345_funcsetI) ).

thf(13,axiom,
    ! [A4: set_c,F: c > real > finite1398487019real_c,B4: set_re2066790124real_c] :
      ( ! [X4: c] :
          ( ( member_c @ X4 @ A4 )
         => ( member1321351885real_c @ ( F @ X4 ) @ B4 ) )
     => ( member469531344real_c @ F
        @ ( pi_c_r41638571real_c @ A4
          @ ^ [Uu: c] : B4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_344_funcsetI) ).

thf(14,axiom,
    ! [A4: set_Sum_sum_c_c,F: sum_sum_c_c > sum_sum_c_d,B4: set_Sum_sum_c_d] :
      ( ! [X4: sum_sum_c_c] :
          ( ( member_Sum_sum_c_c @ X4 @ A4 )
         => ( member_Sum_sum_c_d @ ( F @ X4 ) @ B4 ) )
     => ( member318754689um_c_d @ F
        @ ( pi_Sum261268376um_c_d @ A4
          @ ^ [Uu: sum_sum_c_c] : B4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_343_funcsetI) ).

thf(15,axiom,
    ! [A4: set_Sum_sum_c_c,F: sum_sum_c_c > sum_sum_c_c,B4: set_Sum_sum_c_c] :
      ( ! [X4: sum_sum_c_c] :
          ( ( member_Sum_sum_c_c @ X4 @ A4 )
         => ( member_Sum_sum_c_c @ ( F @ X4 ) @ B4 ) )
     => ( member1326674048um_c_c @ F
        @ ( pi_Sum253006871um_c_c @ A4
          @ ^ [Uu: sum_sum_c_c] : B4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_342_funcsetI) ).

thf(16,axiom,
    ! [A4: set_Sum_sum_c_d,F: sum_sum_c_d > c,B4: set_c] :
      ( ! [X4: sum_sum_c_d] :
          ( ( member_Sum_sum_c_d @ X4 @ A4 )
         => ( member_c @ ( F @ X4 ) @ B4 ) )
     => ( member_Sum_sum_c_d_c @ F
        @ ( pi_Sum_sum_c_d_c @ A4
          @ ^ [Uu: sum_sum_c_d] : B4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_341_funcsetI) ).

thf(17,axiom,
    ! [A4: set_c,F: c > sum_sum_c_d,B4: set_Sum_sum_c_d] :
      ( ! [X4: c] :
          ( ( member_c @ X4 @ A4 )
         => ( member_Sum_sum_c_d @ ( F @ X4 ) @ B4 ) )
     => ( member_c_Sum_sum_c_d @ F
        @ ( pi_c_Sum_sum_c_d @ A4
          @ ^ [Uu: c] : B4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_340_funcsetI) ).

thf(18,axiom,
    ! [A4: set_c,F: c > sum_sum_c_c,B4: set_Sum_sum_c_c] :
      ( ! [X4: c] :
          ( ( member_c @ X4 @ A4 )
         => ( member_Sum_sum_c_c @ ( F @ X4 ) @ B4 ) )
     => ( member_c_Sum_sum_c_c @ F
        @ ( pi_c_Sum_sum_c_c @ A4
          @ ^ [Uu: c] : B4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_339_funcsetI) ).

thf(19,axiom,
    ! [A4: set_Sum_sum_c_c,F: sum_sum_c_c > c,B4: set_c] :
      ( ! [X4: sum_sum_c_c] :
          ( ( member_Sum_sum_c_c @ X4 @ A4 )
         => ( member_c @ ( F @ X4 ) @ B4 ) )
     => ( member_Sum_sum_c_c_c @ F
        @ ( pi_Sum_sum_c_c_c @ A4
          @ ^ [Uu: sum_sum_c_c] : B4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_338_funcsetI) ).

thf(20,axiom,
    ! [A4: set_real,F: real > finite1398487019real_c,B4: set_Fi1407883041real_c] :
      ( ! [X4: real] :
          ( ( member_real @ X4 @ A4 )
         => ( member1261661570real_c @ ( F @ X4 ) @ B4 ) )
     => ( member1321351885real_c @ F
        @ ( pi_rea1111636068real_c @ A4
          @ ^ [Uu: real] : B4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_337_funcsetI) ).

thf(21,axiom,
    ! [A4: set_c,F: c > c,B4: set_c] :
      ( ! [X4: c] :
          ( ( member_c @ X4 @ A4 )
         => ( member_c @ ( F @ X4 ) @ B4 ) )
     => ( member_c_c @ F
        @ ( pi_c_c @ A4
          @ ^ [Uu: c] : B4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_336_funcsetI) ).

thf(22,axiom,
    ! [A4: set_real,F: real > finite1398487019real_c,G: real > finite1398487019real_c,B4: real > set_Fi1407883041real_c] :
      ( ! [W: real] :
          ( ( member_real @ W @ A4 )
         => ( ( F @ W )
            = ( G @ W ) ) )
     => ( ( member1321351885real_c @ F @ ( pi_rea1111636068real_c @ A4 @ B4 ) )
        = ( member1321351885real_c @ G @ ( pi_rea1111636068real_c @ A4 @ B4 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_335_Pi__cong) ).

thf(23,axiom,
    ! [F: sum_sum_c_d > sum_sum_c_c,A4: set_Sum_sum_c_d,B4: sum_sum_c_d > set_Sum_sum_c_c,X: sum_sum_c_d] :
      ( ( member71251457um_c_c @ F @ ( pi_Sum1145067928um_c_c @ A4 @ B4 ) )
     => ( ( member_Sum_sum_c_d @ X @ A4 )
       => ( member_Sum_sum_c_c @ ( F @ X ) @ ( B4 @ X ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_334_Pi__mem) ).

thf(24,axiom,
    ! [F: c > real > finite1398487019real_c,A4: set_c,B4: c > set_re2066790124real_c,X: c] :
      ( ( member469531344real_c @ F @ ( pi_c_r41638571real_c @ A4 @ B4 ) )
     => ( ( member_c @ X @ A4 )
       => ( member1321351885real_c @ ( F @ X ) @ ( B4 @ X ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_333_Pi__mem) ).

thf(25,axiom,
    ! [F: sum_sum_c_c > sum_sum_c_d,A4: set_Sum_sum_c_c,B4: sum_sum_c_c > set_Sum_sum_c_d,X: sum_sum_c_c] :
      ( ( member318754689um_c_d @ F @ ( pi_Sum261268376um_c_d @ A4 @ B4 ) )
     => ( ( member_Sum_sum_c_c @ X @ A4 )
       => ( member_Sum_sum_c_d @ ( F @ X ) @ ( B4 @ X ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_332_Pi__mem) ).

thf(26,axiom,
    ! [F: sum_sum_c_c > sum_sum_c_c,A4: set_Sum_sum_c_c,B4: sum_sum_c_c > set_Sum_sum_c_c,X: sum_sum_c_c] :
      ( ( member1326674048um_c_c @ F @ ( pi_Sum253006871um_c_c @ A4 @ B4 ) )
     => ( ( member_Sum_sum_c_c @ X @ A4 )
       => ( member_Sum_sum_c_c @ ( F @ X ) @ ( B4 @ X ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_331_Pi__mem) ).

thf(27,axiom,
    ! [F: real > finite1398487019real_c,A4: set_real,B4: real > set_Fi1407883041real_c,X: real] :
      ( ( member1321351885real_c @ F @ ( pi_rea1111636068real_c @ A4 @ B4 ) )
     => ( ( member_real @ X @ A4 )
       => ( member1261661570real_c @ ( F @ X ) @ ( B4 @ X ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_330_Pi__mem) ).

thf(28,axiom,
    ! [F: sum_sum_c_d > c,A4: set_Sum_sum_c_d,B4: sum_sum_c_d > set_c,X: sum_sum_c_d] :
      ( ( member_Sum_sum_c_d_c @ F @ ( pi_Sum_sum_c_d_c @ A4 @ B4 ) )
     => ( ( member_Sum_sum_c_d @ X @ A4 )
       => ( member_c @ ( F @ X ) @ ( B4 @ X ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_329_Pi__mem) ).

thf(29,axiom,
    ! [F: c > sum_sum_c_d,A4: set_c,B4: c > set_Sum_sum_c_d,X: c] :
      ( ( member_c_Sum_sum_c_d @ F @ ( pi_c_Sum_sum_c_d @ A4 @ B4 ) )
     => ( ( member_c @ X @ A4 )
       => ( member_Sum_sum_c_d @ ( F @ X ) @ ( B4 @ X ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_328_Pi__mem) ).

thf(30,axiom,
    ! [F: c > sum_sum_c_c,A4: set_c,B4: c > set_Sum_sum_c_c,X: c] :
      ( ( member_c_Sum_sum_c_c @ F @ ( pi_c_Sum_sum_c_c @ A4 @ B4 ) )
     => ( ( member_c @ X @ A4 )
       => ( member_Sum_sum_c_c @ ( F @ X ) @ ( B4 @ X ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_327_Pi__mem) ).

thf(31,axiom,
    ! [F: sum_sum_c_c > c,A4: set_Sum_sum_c_c,B4: sum_sum_c_c > set_c,X: sum_sum_c_c] :
      ( ( member_Sum_sum_c_c_c @ F @ ( pi_Sum_sum_c_c_c @ A4 @ B4 ) )
     => ( ( member_Sum_sum_c_c @ X @ A4 )
       => ( member_c @ ( F @ X ) @ ( B4 @ X ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_326_Pi__mem) ).

thf(32,axiom,
    ! [F: c > c,A4: set_c,B4: c > set_c,X: c] :
      ( ( member_c_c @ F @ ( pi_c_c @ A4 @ B4 ) )
     => ( ( member_c @ X @ A4 )
       => ( member_c @ ( F @ X ) @ ( B4 @ X ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_325_Pi__mem) ).

thf(33,axiom,
    ! [F: real > finite1398487019real_c,I: set_real,X8: real > set_Fi1407883041real_c] :
      ( ( member1321351885real_c @ F @ ( pi_rea1111636068real_c @ I @ X8 ) )
      = ( ! [X3: real] :
            ( ( member_real @ X3 @ I )
           => ( member1261661570real_c @ ( F @ X3 ) @ ( X8 @ X3 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_324_Pi__iff) ).

thf(34,axiom,
    ! [A4: set_Sum_sum_c_d,F: sum_sum_c_d > sum_sum_c_c,B4: sum_sum_c_d > set_Sum_sum_c_c] :
      ( ! [X4: sum_sum_c_d] :
          ( ( member_Sum_sum_c_d @ X4 @ A4 )
         => ( member_Sum_sum_c_c @ ( F @ X4 ) @ ( B4 @ X4 ) ) )
     => ( member71251457um_c_c @ F @ ( pi_Sum1145067928um_c_c @ A4 @ B4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_323_Pi__I_H) ).

thf(35,axiom,
    ! [A4: set_c,F: c > real > finite1398487019real_c,B4: c > set_re2066790124real_c] :
      ( ! [X4: c] :
          ( ( member_c @ X4 @ A4 )
         => ( member1321351885real_c @ ( F @ X4 ) @ ( B4 @ X4 ) ) )
     => ( member469531344real_c @ F @ ( pi_c_r41638571real_c @ A4 @ B4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_322_Pi__I_H) ).

thf(36,axiom,
    ! [A4: set_Sum_sum_c_c,F: sum_sum_c_c > sum_sum_c_d,B4: sum_sum_c_c > set_Sum_sum_c_d] :
      ( ! [X4: sum_sum_c_c] :
          ( ( member_Sum_sum_c_c @ X4 @ A4 )
         => ( member_Sum_sum_c_d @ ( F @ X4 ) @ ( B4 @ X4 ) ) )
     => ( member318754689um_c_d @ F @ ( pi_Sum261268376um_c_d @ A4 @ B4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_321_Pi__I_H) ).

thf(37,axiom,
    ! [A4: set_Sum_sum_c_c,F: sum_sum_c_c > sum_sum_c_c,B4: sum_sum_c_c > set_Sum_sum_c_c] :
      ( ! [X4: sum_sum_c_c] :
          ( ( member_Sum_sum_c_c @ X4 @ A4 )
         => ( member_Sum_sum_c_c @ ( F @ X4 ) @ ( B4 @ X4 ) ) )
     => ( member1326674048um_c_c @ F @ ( pi_Sum253006871um_c_c @ A4 @ B4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_320_Pi__I_H) ).

thf(38,axiom,
    ! [A4: set_Sum_sum_c_d,F: sum_sum_c_d > c,B4: sum_sum_c_d > set_c] :
      ( ! [X4: sum_sum_c_d] :
          ( ( member_Sum_sum_c_d @ X4 @ A4 )
         => ( member_c @ ( F @ X4 ) @ ( B4 @ X4 ) ) )
     => ( member_Sum_sum_c_d_c @ F @ ( pi_Sum_sum_c_d_c @ A4 @ B4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_319_Pi__I_H) ).

thf(39,axiom,
    ! [A4: set_c,F: c > sum_sum_c_d,B4: c > set_Sum_sum_c_d] :
      ( ! [X4: c] :
          ( ( member_c @ X4 @ A4 )
         => ( member_Sum_sum_c_d @ ( F @ X4 ) @ ( B4 @ X4 ) ) )
     => ( member_c_Sum_sum_c_d @ F @ ( pi_c_Sum_sum_c_d @ A4 @ B4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_318_Pi__I_H) ).

thf(40,axiom,
    ! [A4: set_c,F: c > sum_sum_c_c,B4: c > set_Sum_sum_c_c] :
      ( ! [X4: c] :
          ( ( member_c @ X4 @ A4 )
         => ( member_Sum_sum_c_c @ ( F @ X4 ) @ ( B4 @ X4 ) ) )
     => ( member_c_Sum_sum_c_c @ F @ ( pi_c_Sum_sum_c_c @ A4 @ B4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_317_Pi__I_H) ).

thf(41,axiom,
    ! [A4: set_Sum_sum_c_c,F: sum_sum_c_c > c,B4: sum_sum_c_c > set_c] :
      ( ! [X4: sum_sum_c_c] :
          ( ( member_Sum_sum_c_c @ X4 @ A4 )
         => ( member_c @ ( F @ X4 ) @ ( B4 @ X4 ) ) )
     => ( member_Sum_sum_c_c_c @ F @ ( pi_Sum_sum_c_c_c @ A4 @ B4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_316_Pi__I_H) ).

thf(42,axiom,
    ! [A4: set_real,F: real > finite1398487019real_c,B4: real > set_Fi1407883041real_c] :
      ( ! [X4: real] :
          ( ( member_real @ X4 @ A4 )
         => ( member1261661570real_c @ ( F @ X4 ) @ ( B4 @ X4 ) ) )
     => ( member1321351885real_c @ F @ ( pi_rea1111636068real_c @ A4 @ B4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_315_Pi__I_H) ).

thf(43,axiom,
    ! [A4: set_c,F: c > c,B4: c > set_c] :
      ( ! [X4: c] :
          ( ( member_c @ X4 @ A4 )
         => ( member_c @ ( F @ X4 ) @ ( B4 @ X4 ) ) )
     => ( member_c_c @ F @ ( pi_c_c @ A4 @ B4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_314_Pi__I_H) ).

thf(44,axiom,
    ! [F: sum_sum_c_c > sum_sum_c_d,A4: set_Sum_sum_c_c,B4: sum_sum_c_c > set_Sum_sum_c_d,X: sum_sum_c_c] :
      ( ( member318754689um_c_d @ F @ ( pi_Sum261268376um_c_d @ A4 @ B4 ) )
     => ( ~ ( member_Sum_sum_c_d @ ( F @ X ) @ ( B4 @ X ) )
       => ~ ( member_Sum_sum_c_c @ X @ A4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_313_PiE) ).

thf(45,axiom,
    ! [F: ( real > finite1398487019real_c ) > c,A4: set_re2066790124real_c,B4: ( real > finite1398487019real_c ) > set_c,X: real > finite1398487019real_c] :
      ( ( member527957930al_c_c @ F @ ( pi_rea1228756413al_c_c @ A4 @ B4 ) )
     => ( ~ ( member_c @ ( F @ X ) @ ( B4 @ X ) )
       => ~ ( member1321351885real_c @ X @ A4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_312_PiE) ).

thf(46,axiom,
    ! [F: sum_sum_c_d > sum_sum_c_c,A4: set_Sum_sum_c_d,B4: sum_sum_c_d > set_Sum_sum_c_c,X: sum_sum_c_d] :
      ( ( member71251457um_c_c @ F @ ( pi_Sum1145067928um_c_c @ A4 @ B4 ) )
     => ( ~ ( member_Sum_sum_c_c @ ( F @ X ) @ ( B4 @ X ) )
       => ~ ( member_Sum_sum_c_d @ X @ A4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_311_PiE) ).

thf(47,axiom,
    ! [F: sum_sum_c_c > sum_sum_c_c,A4: set_Sum_sum_c_c,B4: sum_sum_c_c > set_Sum_sum_c_c,X: sum_sum_c_c] :
      ( ( member1326674048um_c_c @ F @ ( pi_Sum253006871um_c_c @ A4 @ B4 ) )
     => ( ~ ( member_Sum_sum_c_c @ ( F @ X ) @ ( B4 @ X ) )
       => ~ ( member_Sum_sum_c_c @ X @ A4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_310_PiE) ).

thf(48,axiom,
    ! [F: real > finite1398487019real_c,A4: set_real,B4: real > set_Fi1407883041real_c,X: real] :
      ( ( member1321351885real_c @ F @ ( pi_rea1111636068real_c @ A4 @ B4 ) )
     => ( ~ ( member1261661570real_c @ ( F @ X ) @ ( B4 @ X ) )
       => ~ ( member_real @ X @ A4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_309_PiE) ).

thf(49,axiom,
    ! [F: c > sum_sum_c_d,A4: set_c,B4: c > set_Sum_sum_c_d,X: c] :
      ( ( member_c_Sum_sum_c_d @ F @ ( pi_c_Sum_sum_c_d @ A4 @ B4 ) )
     => ( ~ ( member_Sum_sum_c_d @ ( F @ X ) @ ( B4 @ X ) )
       => ~ ( member_c @ X @ A4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_308_PiE) ).

thf(50,axiom,
    ! [F: sum_sum_c_d > c,A4: set_Sum_sum_c_d,B4: sum_sum_c_d > set_c,X: sum_sum_c_d] :
      ( ( member_Sum_sum_c_d_c @ F @ ( pi_Sum_sum_c_d_c @ A4 @ B4 ) )
     => ( ~ ( member_c @ ( F @ X ) @ ( B4 @ X ) )
       => ~ ( member_Sum_sum_c_d @ X @ A4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_307_PiE) ).

thf(51,axiom,
    ! [F: sum_sum_c_c > c,A4: set_Sum_sum_c_c,B4: sum_sum_c_c > set_c,X: sum_sum_c_c] :
      ( ( member_Sum_sum_c_c_c @ F @ ( pi_Sum_sum_c_c_c @ A4 @ B4 ) )
     => ( ~ ( member_c @ ( F @ X ) @ ( B4 @ X ) )
       => ~ ( member_Sum_sum_c_c @ X @ A4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_306_PiE) ).

thf(52,axiom,
    ! [F: c > sum_sum_c_c,A4: set_c,B4: c > set_Sum_sum_c_c,X: c] :
      ( ( member_c_Sum_sum_c_c @ F @ ( pi_c_Sum_sum_c_c @ A4 @ B4 ) )
     => ( ~ ( member_Sum_sum_c_c @ ( F @ X ) @ ( B4 @ X ) )
       => ~ ( member_c @ X @ A4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_305_PiE) ).

thf(53,axiom,
    ! [F: c > c,A4: set_c,B4: c > set_c,X: c] :
      ( ( member_c_c @ F @ ( pi_c_c @ A4 @ B4 ) )
     => ( ~ ( member_c @ ( F @ X ) @ ( B4 @ X ) )
       => ~ ( member_c @ X @ A4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_304_PiE) ).

thf(54,axiom,
    ! [A4: set_Sum_sum_c_d,F: sum_sum_c_d > sum_sum_c_c,B4: sum_sum_c_d > set_Sum_sum_c_c] :
      ( ! [X4: sum_sum_c_d] :
          ( ( member_Sum_sum_c_d @ X4 @ A4 )
         => ( member_Sum_sum_c_c @ ( F @ X4 ) @ ( B4 @ X4 ) ) )
     => ( member71251457um_c_c @ F @ ( pi_Sum1145067928um_c_c @ A4 @ B4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_303_Pi__I) ).

thf(55,axiom,
    ! [A4: set_c,F: c > real > finite1398487019real_c,B4: c > set_re2066790124real_c] :
      ( ! [X4: c] :
          ( ( member_c @ X4 @ A4 )
         => ( member1321351885real_c @ ( F @ X4 ) @ ( B4 @ X4 ) ) )
     => ( member469531344real_c @ F @ ( pi_c_r41638571real_c @ A4 @ B4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_302_Pi__I) ).

thf(56,axiom,
    ! [A4: set_Sum_sum_c_c,F: sum_sum_c_c > sum_sum_c_d,B4: sum_sum_c_c > set_Sum_sum_c_d] :
      ( ! [X4: sum_sum_c_c] :
          ( ( member_Sum_sum_c_c @ X4 @ A4 )
         => ( member_Sum_sum_c_d @ ( F @ X4 ) @ ( B4 @ X4 ) ) )
     => ( member318754689um_c_d @ F @ ( pi_Sum261268376um_c_d @ A4 @ B4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_301_Pi__I) ).

thf(57,axiom,
    ! [A4: set_Sum_sum_c_c,F: sum_sum_c_c > sum_sum_c_c,B4: sum_sum_c_c > set_Sum_sum_c_c] :
      ( ! [X4: sum_sum_c_c] :
          ( ( member_Sum_sum_c_c @ X4 @ A4 )
         => ( member_Sum_sum_c_c @ ( F @ X4 ) @ ( B4 @ X4 ) ) )
     => ( member1326674048um_c_c @ F @ ( pi_Sum253006871um_c_c @ A4 @ B4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_300_Pi__I) ).

thf(58,axiom,
    ! [A4: set_Sum_sum_c_d,F: sum_sum_c_d > c,B4: sum_sum_c_d > set_c] :
      ( ! [X4: sum_sum_c_d] :
          ( ( member_Sum_sum_c_d @ X4 @ A4 )
         => ( member_c @ ( F @ X4 ) @ ( B4 @ X4 ) ) )
     => ( member_Sum_sum_c_d_c @ F @ ( pi_Sum_sum_c_d_c @ A4 @ B4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_299_Pi__I) ).

thf(59,axiom,
    ! [A4: set_c,F: c > sum_sum_c_d,B4: c > set_Sum_sum_c_d] :
      ( ! [X4: c] :
          ( ( member_c @ X4 @ A4 )
         => ( member_Sum_sum_c_d @ ( F @ X4 ) @ ( B4 @ X4 ) ) )
     => ( member_c_Sum_sum_c_d @ F @ ( pi_c_Sum_sum_c_d @ A4 @ B4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_298_Pi__I) ).

thf(60,axiom,
    ! [A4: set_c,F: c > sum_sum_c_c,B4: c > set_Sum_sum_c_c] :
      ( ! [X4: c] :
          ( ( member_c @ X4 @ A4 )
         => ( member_Sum_sum_c_c @ ( F @ X4 ) @ ( B4 @ X4 ) ) )
     => ( member_c_Sum_sum_c_c @ F @ ( pi_c_Sum_sum_c_c @ A4 @ B4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_297_Pi__I) ).

thf(61,axiom,
    ! [A4: set_Sum_sum_c_c,F: sum_sum_c_c > c,B4: sum_sum_c_c > set_c] :
      ( ! [X4: sum_sum_c_c] :
          ( ( member_Sum_sum_c_c @ X4 @ A4 )
         => ( member_c @ ( F @ X4 ) @ ( B4 @ X4 ) ) )
     => ( member_Sum_sum_c_c_c @ F @ ( pi_Sum_sum_c_c_c @ A4 @ B4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_296_Pi__I) ).

thf(62,axiom,
    ! [A4: set_real,F: real > finite1398487019real_c,B4: real > set_Fi1407883041real_c] :
      ( ! [X4: real] :
          ( ( member_real @ X4 @ A4 )
         => ( member1261661570real_c @ ( F @ X4 ) @ ( B4 @ X4 ) ) )
     => ( member1321351885real_c @ F @ ( pi_rea1111636068real_c @ A4 @ B4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_295_Pi__I) ).

thf(63,axiom,
    ! [A4: set_c,F: c > c,B4: c > set_c] :
      ( ! [X4: c] :
          ( ( member_c @ X4 @ A4 )
         => ( member_c @ ( F @ X4 ) @ ( B4 @ X4 ) ) )
     => ( member_c_c @ F @ ( pi_c_c @ A4 @ B4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_294_Pi__I) ).

thf(64,axiom,
    ! [F2: real > finite1398487019real_c,A4: set_real,B4: set_Fi1407883041real_c] :
      ( ( ord_le1327118209real_c @ ( image_327677598real_c @ F2 @ A4 ) @ B4 )
      = ( member1321351885real_c @ F2
        @ ( pi_rea1111636068real_c @ A4
          @ ^ [Uu: real] : B4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_293_image__subset__iff__funcset) ).

thf(65,axiom,
    ! [F2: c > sum_sum_c_d,A4: set_c,B4: set_Sum_sum_c_d] :
      ( ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ F2 @ A4 ) @ B4 )
      = ( member_c_Sum_sum_c_d @ F2
        @ ( pi_c_Sum_sum_c_d @ A4
          @ ^ [Uu: c] : B4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_292_image__subset__iff__funcset) ).

thf(66,axiom,
    ! [F2: c > sum_sum_c_c,A4: set_c,B4: set_Sum_sum_c_c] :
      ( ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ F2 @ A4 ) @ B4 )
      = ( member_c_Sum_sum_c_c @ F2
        @ ( pi_c_Sum_sum_c_c @ A4
          @ ^ [Uu: c] : B4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_291_image__subset__iff__funcset) ).

thf(67,axiom,
    ( denotational_repd_c
    = ( ^ [V3: produc190496183real_c,X3: c,R: real] :
          ( produc394644079real_c @ ( produc2010422875real_c @ V3 )
          @ ( finite557796307c_real
            @ ^ [Y3: c] : ( if_real @ ( X3 = Y3 ) @ R @ ( finite772340578real_c @ ( produc314122909real_c @ V3 ) @ Y3 ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_290_repd_Osimps) ).

thf(68,axiom,
    ! [X: produc190496183real_c,Xa: c,Xb: real,Y: produc190496183real_c] :
      ( ( ( denotational_repd_c @ X @ Xa @ Xb )
        = Y )
     => ( Y
        = ( produc394644079real_c @ ( produc2010422875real_c @ X )
          @ ( finite557796307c_real
            @ ^ [Y3: c] : ( if_real @ ( Xa = Y3 ) @ Xb @ ( finite772340578real_c @ ( produc314122909real_c @ X ) @ Y3 ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_289_repd_Oelims) ).

thf(69,axiom,
    ! [B4: set_Sum_sum_c_d,F: c > sum_sum_c_d,A4: set_c] :
      ( ( ord_le764260924um_c_d @ B4 @ ( image_c_Sum_sum_c_d @ F @ A4 ) )
      = ( ? [AA: set_c] :
            ( ( ord_less_eq_set_c @ AA @ A4 )
            & ( B4
              = ( image_c_Sum_sum_c_d @ F @ AA ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_288_subset__image__iff) ).

thf(70,axiom,
    ! [B4: set_Sum_sum_c_c,F: c > sum_sum_c_c,A4: set_c] :
      ( ( ord_le1772180283um_c_c @ B4 @ ( image_c_Sum_sum_c_c @ F @ A4 ) )
      = ( ? [AA: set_c] :
            ( ( ord_less_eq_set_c @ AA @ A4 )
            & ( B4
              = ( image_c_Sum_sum_c_c @ F @ AA ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_287_subset__image__iff) ).

thf(71,axiom,
    ! [F: c > sum_sum_c_d,A4: set_c,B4: set_Sum_sum_c_d] :
      ( ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ F @ A4 ) @ B4 )
      = ( ! [X3: c] :
            ( ( member_c @ X3 @ A4 )
           => ( member_Sum_sum_c_d @ ( F @ X3 ) @ B4 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_286_image__subset__iff) ).

thf(72,axiom,
    ! [F: c > sum_sum_c_c,A4: set_c,B4: set_Sum_sum_c_c] :
      ( ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ F @ A4 ) @ B4 )
      = ( ! [X3: c] :
            ( ( member_c @ X3 @ A4 )
           => ( member_Sum_sum_c_c @ ( F @ X3 ) @ B4 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_285_image__subset__iff) ).

thf(73,axiom,
    ! [B4: set_Sum_sum_c_d,F: c > sum_sum_c_d,A4: set_c] :
      ( ( ord_le764260924um_c_d @ B4 @ ( image_c_Sum_sum_c_d @ F @ A4 ) )
     => ~ ! [C2: set_c] :
            ( ( ord_less_eq_set_c @ C2 @ A4 )
           => ( B4
             != ( image_c_Sum_sum_c_d @ F @ C2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_284_subset__imageE) ).

thf(74,axiom,
    ! [B4: set_Sum_sum_c_c,F: c > sum_sum_c_c,A4: set_c] :
      ( ( ord_le1772180283um_c_c @ B4 @ ( image_c_Sum_sum_c_c @ F @ A4 ) )
     => ~ ! [C2: set_c] :
            ( ( ord_less_eq_set_c @ C2 @ A4 )
           => ( B4
             != ( image_c_Sum_sum_c_c @ F @ C2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_283_subset__imageE) ).

thf(75,axiom,
    ! [A4: set_Sum_sum_c_d,F: sum_sum_c_d > sum_sum_c_d,B4: set_Sum_sum_c_d] :
      ( ! [X4: sum_sum_c_d] :
          ( ( member_Sum_sum_c_d @ X4 @ A4 )
         => ( member_Sum_sum_c_d @ ( F @ X4 ) @ B4 ) )
     => ( ord_le764260924um_c_d @ ( image_1567202899um_c_d @ F @ A4 ) @ B4 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_282_image__subsetI) ).

thf(76,axiom,
    ! [A4: set_Sum_sum_c_d,F: sum_sum_c_d > sum_sum_c_c,B4: set_Sum_sum_c_c] :
      ( ! [X4: sum_sum_c_d] :
          ( ( member_Sum_sum_c_d @ X4 @ A4 )
         => ( member_Sum_sum_c_c @ ( F @ X4 ) @ B4 ) )
     => ( ord_le1772180283um_c_c @ ( image_1558941394um_c_c @ F @ A4 ) @ B4 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_281_image__subsetI) ).

thf(77,axiom,
    ! [A4: set_c,F: c > real > finite1398487019real_c,B4: set_re2066790124real_c] :
      ( ! [X4: c] :
          ( ( member_c @ X4 @ A4 )
         => ( member1321351885real_c @ ( F @ X4 ) @ B4 ) )
     => ( ord_le35002188real_c @ ( image_1226855921real_c @ F @ A4 ) @ B4 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_280_image__subsetI) ).

thf(78,axiom,
    ! [A4: set_Sum_sum_c_c,F: sum_sum_c_c > sum_sum_c_d,B4: set_Sum_sum_c_d] :
      ( ! [X4: sum_sum_c_c] :
          ( ( member_Sum_sum_c_c @ X4 @ A4 )
         => ( member_Sum_sum_c_d @ ( F @ X4 ) @ B4 ) )
     => ( ord_le764260924um_c_d @ ( image_675141842um_c_d @ F @ A4 ) @ B4 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_279_image__subsetI) ).

thf(79,axiom,
    ! [A4: set_Sum_sum_c_c,F: sum_sum_c_c > sum_sum_c_c,B4: set_Sum_sum_c_c] :
      ( ! [X4: sum_sum_c_c] :
          ( ( member_Sum_sum_c_c @ X4 @ A4 )
         => ( member_Sum_sum_c_c @ ( F @ X4 ) @ B4 ) )
     => ( ord_le1772180283um_c_c @ ( image_666880337um_c_c @ F @ A4 ) @ B4 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_278_image__subsetI) ).

thf(80,axiom,
    ! [A4: set_Sum_sum_c_d,F: sum_sum_c_d > c,B4: set_c] :
      ( ! [X4: sum_sum_c_d] :
          ( ( member_Sum_sum_c_d @ X4 @ A4 )
         => ( member_c @ ( F @ X4 ) @ B4 ) )
     => ( ord_less_eq_set_c @ ( image_Sum_sum_c_d_c @ F @ A4 ) @ B4 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_277_image__subsetI) ).

thf(81,axiom,
    ! [A4: set_c,F: c > sum_sum_c_d,B4: set_Sum_sum_c_d] :
      ( ! [X4: c] :
          ( ( member_c @ X4 @ A4 )
         => ( member_Sum_sum_c_d @ ( F @ X4 ) @ B4 ) )
     => ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ F @ A4 ) @ B4 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_276_image__subsetI) ).

thf(82,axiom,
    ! [A4: set_c,F: c > sum_sum_c_c,B4: set_Sum_sum_c_c] :
      ( ! [X4: c] :
          ( ( member_c @ X4 @ A4 )
         => ( member_Sum_sum_c_c @ ( F @ X4 ) @ B4 ) )
     => ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ F @ A4 ) @ B4 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_275_image__subsetI) ).

thf(83,axiom,
    ! [A4: set_Sum_sum_c_c,F: sum_sum_c_c > c,B4: set_c] :
      ( ! [X4: sum_sum_c_c] :
          ( ( member_Sum_sum_c_c @ X4 @ A4 )
         => ( member_c @ ( F @ X4 ) @ B4 ) )
     => ( ord_less_eq_set_c @ ( image_Sum_sum_c_c_c @ F @ A4 ) @ B4 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_274_image__subsetI) ).

thf(84,axiom,
    ! [A4: set_c,F: c > c,B4: set_c] :
      ( ! [X4: c] :
          ( ( member_c @ X4 @ A4 )
         => ( member_c @ ( F @ X4 ) @ B4 ) )
     => ( ord_less_eq_set_c @ ( image_c_c @ F @ A4 ) @ B4 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_273_image__subsetI) ).

thf(85,axiom,
    ! [A4: set_c,B4: set_c,F: c > sum_sum_c_d] :
      ( ( ord_less_eq_set_c @ A4 @ B4 )
     => ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ F @ A4 ) @ ( image_c_Sum_sum_c_d @ F @ B4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_272_image__mono) ).

thf(86,axiom,
    ! [A4: set_c,B4: set_c,F: c > sum_sum_c_c] :
      ( ( ord_less_eq_set_c @ A4 @ B4 )
     => ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ F @ A4 ) @ ( image_c_Sum_sum_c_c @ F @ B4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_271_image__mono) ).

thf(87,axiom,
    ( uminus1381786404um_c_c
    = ( ^ [A5: set_Sum_sum_c_c] :
          ( collect_Sum_sum_c_c
          @ ( uminus88729697_c_c_o
            @ ^ [X3: sum_sum_c_c] : ( member_Sum_sum_c_c @ X3 @ A5 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_270_uminus__set__def) ).

thf(88,axiom,
    ( uminus_uminus_set_c
    = ( ^ [A5: set_c] :
          ( collect_c
          @ ( uminus_uminus_c_o
            @ ^ [X3: c] : ( member_c @ X3 @ A5 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_269_uminus__set__def) ).

thf(89,axiom,
    ( uminus102402154real_c
    = ( ^ [A5: set_Fi1407883041real_c] :
          ( collec230941376real_c
          @ ( uminus23580315al_c_o
            @ ^ [X3: finite1398487019real_c] : ( member1261661570real_c @ X3 @ A5 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_268_uminus__set__def) ).

thf(90,axiom,
    ( uminus946614837real_c
    = ( ^ [A5: set_re2066790124real_c] :
          ( collec913357835real_c
          @ ( uminus1756072592al_c_o
            @ ^ [X3: real > finite1398487019real_c] : ( member1321351885real_c @ X3 @ A5 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_267_uminus__set__def) ).

thf(91,axiom,
    ( uminus232257166real_c
    = ( ^ [A5: set_Pr1389752855real_c] :
          ( collec1643251106real_c
          @ ( uminus32155087al_c_o
            @ ^ [X3: produc190496183real_c] : ( member1895684704real_c @ X3 @ A5 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_266_uminus__set__def) ).

thf(92,axiom,
    ( uminus373867045um_c_d
    = ( ^ [A5: set_Sum_sum_c_d] :
          ( collect_Sum_sum_c_d
          @ ( uminus916499104_c_d_o
            @ ^ [X3: sum_sum_c_d] : ( member_Sum_sum_c_d @ X3 @ A5 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_265_uminus__set__def) ).

thf(93,axiom,
    ( uminus1381786404um_c_c
    = ( ^ [A5: set_Sum_sum_c_c] :
          ( collect_Sum_sum_c_c
          @ ^ [X3: sum_sum_c_c] :
              ~ ( member_Sum_sum_c_c @ X3 @ A5 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_264_Compl__eq) ).

thf(94,axiom,
    ( uminus_uminus_set_c
    = ( ^ [A5: set_c] :
          ( collect_c
          @ ^ [X3: c] :
              ~ ( member_c @ X3 @ A5 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_263_Compl__eq) ).

thf(95,axiom,
    ( uminus102402154real_c
    = ( ^ [A5: set_Fi1407883041real_c] :
          ( collec230941376real_c
          @ ^ [X3: finite1398487019real_c] :
              ~ ( member1261661570real_c @ X3 @ A5 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_262_Compl__eq) ).

thf(96,axiom,
    ( uminus946614837real_c
    = ( ^ [A5: set_re2066790124real_c] :
          ( collec913357835real_c
          @ ^ [X3: real > finite1398487019real_c] :
              ~ ( member1321351885real_c @ X3 @ A5 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_261_Compl__eq) ).

thf(97,axiom,
    ( uminus232257166real_c
    = ( ^ [A5: set_Pr1389752855real_c] :
          ( collec1643251106real_c
          @ ^ [X3: produc190496183real_c] :
              ~ ( member1895684704real_c @ X3 @ A5 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_260_Compl__eq) ).

thf(98,axiom,
    ( uminus373867045um_c_d
    = ( ^ [A5: set_Sum_sum_c_d] :
          ( collect_Sum_sum_c_d
          @ ^ [X3: sum_sum_c_d] :
              ~ ( member_Sum_sum_c_d @ X3 @ A5 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_259_Compl__eq) ).

thf(99,axiom,
    ! [P: sum_sum_c_c > $o] :
      ( ( collect_Sum_sum_c_c
        @ ^ [X3: sum_sum_c_c] :
            ~ ( P @ X3 ) )
      = ( uminus1381786404um_c_c @ ( collect_Sum_sum_c_c @ P ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_258_Collect__neg__eq) ).

thf(100,axiom,
    ! [P: c > $o] :
      ( ( collect_c
        @ ^ [X3: c] :
            ~ ( P @ X3 ) )
      = ( uminus_uminus_set_c @ ( collect_c @ P ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_257_Collect__neg__eq) ).

thf(101,axiom,
    ! [P: finite1398487019real_c > $o] :
      ( ( collec230941376real_c
        @ ^ [X3: finite1398487019real_c] :
            ~ ( P @ X3 ) )
      = ( uminus102402154real_c @ ( collec230941376real_c @ P ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_256_Collect__neg__eq) ).

thf(102,axiom,
    ! [A4: set_c,P: c > $o] :
      ( ord_less_eq_set_c
      @ ( collect_c
        @ ^ [X3: c] :
            ( ( member_c @ X3 @ A4 )
            & ( P @ X3 ) ) )
      @ A4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_255_Collect__subset) ).

thf(103,axiom,
    ! [A4: set_Fi1407883041real_c,P: finite1398487019real_c > $o] :
      ( ord_le1327118209real_c
      @ ( collec230941376real_c
        @ ^ [X3: finite1398487019real_c] :
            ( ( member1261661570real_c @ X3 @ A4 )
            & ( P @ X3 ) ) )
      @ A4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_254_Collect__subset) ).

thf(104,axiom,
    ! [A4: set_re2066790124real_c,P: ( real > finite1398487019real_c ) > $o] :
      ( ord_le35002188real_c
      @ ( collec913357835real_c
        @ ^ [X3: real > finite1398487019real_c] :
            ( ( member1321351885real_c @ X3 @ A4 )
            & ( P @ X3 ) ) )
      @ A4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_253_Collect__subset) ).

thf(105,axiom,
    ! [A4: set_Pr1389752855real_c,P: produc190496183real_c > $o] :
      ( ord_le977353143real_c
      @ ( collec1643251106real_c
        @ ^ [X3: produc190496183real_c] :
            ( ( member1895684704real_c @ X3 @ A4 )
            & ( P @ X3 ) ) )
      @ A4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_252_Collect__subset) ).

thf(106,axiom,
    ! [A4: set_Sum_sum_c_d,P: sum_sum_c_d > $o] :
      ( ord_le764260924um_c_d
      @ ( collect_Sum_sum_c_d
        @ ^ [X3: sum_sum_c_d] :
            ( ( member_Sum_sum_c_d @ X3 @ A4 )
            & ( P @ X3 ) ) )
      @ A4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_251_Collect__subset) ).

thf(107,axiom,
    ! [A4: set_Sum_sum_c_c,P: sum_sum_c_c > $o] :
      ( ord_le1772180283um_c_c
      @ ( collect_Sum_sum_c_c
        @ ^ [X3: sum_sum_c_c] :
            ( ( member_Sum_sum_c_c @ X3 @ A4 )
            & ( P @ X3 ) ) )
      @ A4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_250_Collect__subset) ).

thf(108,axiom,
    ( ord_le35002188real_c
    = ( ^ [A5: set_re2066790124real_c,B5: set_re2066790124real_c] :
          ( ord_le818951225al_c_o
          @ ^ [X3: real > finite1398487019real_c] : ( member1321351885real_c @ X3 @ A5 )
          @ ^ [X3: real > finite1398487019real_c] : ( member1321351885real_c @ X3 @ B5 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_249_less__eq__set__def) ).

thf(109,axiom,
    ( ord_le977353143real_c
    = ( ^ [A5: set_Pr1389752855real_c,B5: set_Pr1389752855real_c] :
          ( ord_le1132241894al_c_o
          @ ^ [X3: produc190496183real_c] : ( member1895684704real_c @ X3 @ A5 )
          @ ^ [X3: produc190496183real_c] : ( member1895684704real_c @ X3 @ B5 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_248_less__eq__set__def) ).

thf(110,axiom,
    ( ord_le764260924um_c_d
    = ( ^ [A5: set_Sum_sum_c_d,B5: set_Sum_sum_c_d] :
          ( ord_le2143422793_c_d_o
          @ ^ [X3: sum_sum_c_d] : ( member_Sum_sum_c_d @ X3 @ A5 )
          @ ^ [X3: sum_sum_c_d] : ( member_Sum_sum_c_d @ X3 @ B5 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_247_less__eq__set__def) ).

thf(111,axiom,
    ( ord_less_eq_set_c
    = ( ^ [A5: set_c,B5: set_c] :
          ( ord_less_eq_c_o
          @ ^ [X3: c] : ( member_c @ X3 @ A5 )
          @ ^ [X3: c] : ( member_c @ X3 @ B5 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_246_less__eq__set__def) ).

thf(112,axiom,
    ( ord_le1772180283um_c_c
    = ( ^ [A5: set_Sum_sum_c_c,B5: set_Sum_sum_c_c] :
          ( ord_le1315653386_c_c_o
          @ ^ [X3: sum_sum_c_c] : ( member_Sum_sum_c_c @ X3 @ A5 )
          @ ^ [X3: sum_sum_c_c] : ( member_Sum_sum_c_c @ X3 @ B5 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_245_less__eq__set__def) ).

thf(113,axiom,
    ! [F: sum_sum_c_c > sum_sum_c_d,A4: set_Sum_sum_c_c,P: sum_sum_c_d > $o] :
      ( ( collect_Sum_sum_c_d
        @ ^ [X3: sum_sum_c_d] :
            ( ( member_Sum_sum_c_d @ X3 @ ( image_675141842um_c_d @ F @ A4 ) )
            & ( P @ X3 ) ) )
      = ( image_675141842um_c_d @ F
        @ ( collect_Sum_sum_c_c
          @ ^ [X3: sum_sum_c_c] :
              ( ( member_Sum_sum_c_c @ X3 @ A4 )
              & ( P @ ( F @ X3 ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_244_Compr__image__eq) ).

thf(114,axiom,
    ! [F: sum_sum_c_d > sum_sum_c_c,A4: set_Sum_sum_c_d,P: sum_sum_c_c > $o] :
      ( ( collect_Sum_sum_c_c
        @ ^ [X3: sum_sum_c_c] :
            ( ( member_Sum_sum_c_c @ X3 @ ( image_1558941394um_c_c @ F @ A4 ) )
            & ( P @ X3 ) ) )
      = ( image_1558941394um_c_c @ F
        @ ( collect_Sum_sum_c_d
          @ ^ [X3: sum_sum_c_d] :
              ( ( member_Sum_sum_c_d @ X3 @ A4 )
              & ( P @ ( F @ X3 ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_243_Compr__image__eq) ).

thf(115,axiom,
    ! [F: sum_sum_c_c > sum_sum_c_c,A4: set_Sum_sum_c_c,P: sum_sum_c_c > $o] :
      ( ( collect_Sum_sum_c_c
        @ ^ [X3: sum_sum_c_c] :
            ( ( member_Sum_sum_c_c @ X3 @ ( image_666880337um_c_c @ F @ A4 ) )
            & ( P @ X3 ) ) )
      = ( image_666880337um_c_c @ F
        @ ( collect_Sum_sum_c_c
          @ ^ [X3: sum_sum_c_c] :
              ( ( member_Sum_sum_c_c @ X3 @ A4 )
              & ( P @ ( F @ X3 ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_242_Compr__image__eq) ).

thf(116,axiom,
    ! [F: finite1398487019real_c > c,A4: set_Fi1407883041real_c,P: c > $o] :
      ( ( collect_c
        @ ^ [X3: c] :
            ( ( member_c @ X3 @ ( image_1260608398al_c_c @ F @ A4 ) )
            & ( P @ X3 ) ) )
      = ( image_1260608398al_c_c @ F
        @ ( collec230941376real_c
          @ ^ [X3: finite1398487019real_c] :
              ( ( member1261661570real_c @ X3 @ A4 )
              & ( P @ ( F @ X3 ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_241_Compr__image__eq) ).

thf(117,axiom,
    ! [F: sum_sum_c_d > c,A4: set_Sum_sum_c_d,P: c > $o] :
      ( ( collect_c
        @ ^ [X3: c] :
            ( ( member_c @ X3 @ ( image_Sum_sum_c_d_c @ F @ A4 ) )
            & ( P @ X3 ) ) )
      = ( image_Sum_sum_c_d_c @ F
        @ ( collect_Sum_sum_c_d
          @ ^ [X3: sum_sum_c_d] :
              ( ( member_Sum_sum_c_d @ X3 @ A4 )
              & ( P @ ( F @ X3 ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_240_Compr__image__eq) ).

thf(118,axiom,
    ! [F: sum_sum_c_c > c,A4: set_Sum_sum_c_c,P: c > $o] :
      ( ( collect_c
        @ ^ [X3: c] :
            ( ( member_c @ X3 @ ( image_Sum_sum_c_c_c @ F @ A4 ) )
            & ( P @ X3 ) ) )
      = ( image_Sum_sum_c_c_c @ F
        @ ( collect_Sum_sum_c_c
          @ ^ [X3: sum_sum_c_c] :
              ( ( member_Sum_sum_c_c @ X3 @ A4 )
              & ( P @ ( F @ X3 ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_239_Compr__image__eq) ).

thf(119,axiom,
    ! [F: c > finite1398487019real_c,A4: set_c,P: finite1398487019real_c > $o] :
      ( ( collec230941376real_c
        @ ^ [X3: finite1398487019real_c] :
            ( ( member1261661570real_c @ X3 @ ( image_687300774real_c @ F @ A4 ) )
            & ( P @ X3 ) ) )
      = ( image_687300774real_c @ F
        @ ( collect_c
          @ ^ [X3: c] :
              ( ( member_c @ X3 @ A4 )
              & ( P @ ( F @ X3 ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_238_Compr__image__eq) ).

thf(120,axiom,
    ! [F: c > sum_sum_c_d,A4: set_c,P: sum_sum_c_d > $o] :
      ( ( collect_Sum_sum_c_d
        @ ^ [X3: sum_sum_c_d] :
            ( ( member_Sum_sum_c_d @ X3 @ ( image_c_Sum_sum_c_d @ F @ A4 ) )
            & ( P @ X3 ) ) )
      = ( image_c_Sum_sum_c_d @ F
        @ ( collect_c
          @ ^ [X3: c] :
              ( ( member_c @ X3 @ A4 )
              & ( P @ ( F @ X3 ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_237_Compr__image__eq) ).

thf(121,axiom,
    ! [F: c > sum_sum_c_c,A4: set_c,P: sum_sum_c_c > $o] :
      ( ( collect_Sum_sum_c_c
        @ ^ [X3: sum_sum_c_c] :
            ( ( member_Sum_sum_c_c @ X3 @ ( image_c_Sum_sum_c_c @ F @ A4 ) )
            & ( P @ X3 ) ) )
      = ( image_c_Sum_sum_c_c @ F
        @ ( collect_c
          @ ^ [X3: c] :
              ( ( member_c @ X3 @ A4 )
              & ( P @ ( F @ X3 ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_236_Compr__image__eq) ).

thf(122,axiom,
    ! [F: c > c,A4: set_c,P: c > $o] :
      ( ( collect_c
        @ ^ [X3: c] :
            ( ( member_c @ X3 @ ( image_c_c @ F @ A4 ) )
            & ( P @ X3 ) ) )
      = ( image_c_c @ F
        @ ( collect_c
          @ ^ [X3: c] :
              ( ( member_c @ X3 @ A4 )
              & ( P @ ( F @ X3 ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_235_Compr__image__eq) ).

thf(123,axiom,
    ! [F: c > sum_sum_c_d,G: c > c,A4: set_c] :
      ( ( image_c_Sum_sum_c_d @ F @ ( image_c_c @ G @ A4 ) )
      = ( image_c_Sum_sum_c_d
        @ ^ [X3: c] : ( F @ ( G @ X3 ) )
        @ A4 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_234_image__image) ).

thf(124,axiom,
    ! [F: c > sum_sum_c_c,G: c > c,A4: set_c] :
      ( ( image_c_Sum_sum_c_c @ F @ ( image_c_c @ G @ A4 ) )
      = ( image_c_Sum_sum_c_c
        @ ^ [X3: c] : ( F @ ( G @ X3 ) )
        @ A4 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_233_image__image) ).

thf(125,axiom,
    ! [F: sum_sum_c_d > sum_sum_c_d,G: c > sum_sum_c_d,A4: set_c] :
      ( ( image_1567202899um_c_d @ F @ ( image_c_Sum_sum_c_d @ G @ A4 ) )
      = ( image_c_Sum_sum_c_d
        @ ^ [X3: c] : ( F @ ( G @ X3 ) )
        @ A4 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_232_image__image) ).

thf(126,axiom,
    ! [F: sum_sum_c_d > sum_sum_c_c,G: c > sum_sum_c_d,A4: set_c] :
      ( ( image_1558941394um_c_c @ F @ ( image_c_Sum_sum_c_d @ G @ A4 ) )
      = ( image_c_Sum_sum_c_c
        @ ^ [X3: c] : ( F @ ( G @ X3 ) )
        @ A4 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_231_image__image) ).

thf(127,axiom,
    ! [F: sum_sum_c_c > sum_sum_c_d,G: c > sum_sum_c_c,A4: set_c] :
      ( ( image_675141842um_c_d @ F @ ( image_c_Sum_sum_c_c @ G @ A4 ) )
      = ( image_c_Sum_sum_c_d
        @ ^ [X3: c] : ( F @ ( G @ X3 ) )
        @ A4 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_230_image__image) ).

thf(128,axiom,
    ! [F: sum_sum_c_c > sum_sum_c_c,G: c > sum_sum_c_c,A4: set_c] :
      ( ( image_666880337um_c_c @ F @ ( image_c_Sum_sum_c_c @ G @ A4 ) )
      = ( image_c_Sum_sum_c_c
        @ ^ [X3: c] : ( F @ ( G @ X3 ) )
        @ A4 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_229_image__image) ).

thf(129,axiom,
    ! [B: sum_sum_c_d,F: sum_sum_c_d > sum_sum_c_d,A4: set_Sum_sum_c_d] :
      ( ( member_Sum_sum_c_d @ B @ ( image_1567202899um_c_d @ F @ A4 ) )
     => ~ ! [X4: sum_sum_c_d] :
            ( ( B
              = ( F @ X4 ) )
           => ~ ( member_Sum_sum_c_d @ X4 @ A4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_228_imageE) ).

thf(130,axiom,
    ! [B: sum_sum_c_d,F: sum_sum_c_c > sum_sum_c_d,A4: set_Sum_sum_c_c] :
      ( ( member_Sum_sum_c_d @ B @ ( image_675141842um_c_d @ F @ A4 ) )
     => ~ ! [X4: sum_sum_c_c] :
            ( ( B
              = ( F @ X4 ) )
           => ~ ( member_Sum_sum_c_c @ X4 @ A4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_227_imageE) ).

thf(131,axiom,
    ! [B: c,F: ( real > finite1398487019real_c ) > c,A4: set_re2066790124real_c] :
      ( ( member_c @ B @ ( image_266490115al_c_c @ F @ A4 ) )
     => ~ ! [X4: real > finite1398487019real_c] :
            ( ( B
              = ( F @ X4 ) )
           => ~ ( member1321351885real_c @ X4 @ A4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_226_imageE) ).

thf(132,axiom,
    ! [B: sum_sum_c_c,F: sum_sum_c_d > sum_sum_c_c,A4: set_Sum_sum_c_d] :
      ( ( member_Sum_sum_c_c @ B @ ( image_1558941394um_c_c @ F @ A4 ) )
     => ~ ! [X4: sum_sum_c_d] :
            ( ( B
              = ( F @ X4 ) )
           => ~ ( member_Sum_sum_c_d @ X4 @ A4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_225_imageE) ).

thf(133,axiom,
    ! [B: sum_sum_c_c,F: sum_sum_c_c > sum_sum_c_c,A4: set_Sum_sum_c_c] :
      ( ( member_Sum_sum_c_c @ B @ ( image_666880337um_c_c @ F @ A4 ) )
     => ~ ! [X4: sum_sum_c_c] :
            ( ( B
              = ( F @ X4 ) )
           => ~ ( member_Sum_sum_c_c @ X4 @ A4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_224_imageE) ).

thf(134,axiom,
    ! [B: sum_sum_c_d,F: c > sum_sum_c_d,A4: set_c] :
      ( ( member_Sum_sum_c_d @ B @ ( image_c_Sum_sum_c_d @ F @ A4 ) )
     => ~ ! [X4: c] :
            ( ( B
              = ( F @ X4 ) )
           => ~ ( member_c @ X4 @ A4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_223_imageE) ).

thf(135,axiom,
    ! [B: c,F: sum_sum_c_d > c,A4: set_Sum_sum_c_d] :
      ( ( member_c @ B @ ( image_Sum_sum_c_d_c @ F @ A4 ) )
     => ~ ! [X4: sum_sum_c_d] :
            ( ( B
              = ( F @ X4 ) )
           => ~ ( member_Sum_sum_c_d @ X4 @ A4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_222_imageE) ).

thf(136,axiom,
    ! [B: c,F: sum_sum_c_c > c,A4: set_Sum_sum_c_c] :
      ( ( member_c @ B @ ( image_Sum_sum_c_c_c @ F @ A4 ) )
     => ~ ! [X4: sum_sum_c_c] :
            ( ( B
              = ( F @ X4 ) )
           => ~ ( member_Sum_sum_c_c @ X4 @ A4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_221_imageE) ).

thf(137,axiom,
    ! [B: sum_sum_c_c,F: c > sum_sum_c_c,A4: set_c] :
      ( ( member_Sum_sum_c_c @ B @ ( image_c_Sum_sum_c_c @ F @ A4 ) )
     => ~ ! [X4: c] :
            ( ( B
              = ( F @ X4 ) )
           => ~ ( member_c @ X4 @ A4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_220_imageE) ).

thf(138,axiom,
    ! [B: c,F: c > c,A4: set_c] :
      ( ( member_c @ B @ ( image_c_c @ F @ A4 ) )
     => ~ ! [X4: c] :
            ( ( B
              = ( F @ X4 ) )
           => ~ ( member_c @ X4 @ A4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_219_imageE) ).

thf(139,axiom,
    ! [C: sum_sum_c_c,A4: set_Sum_sum_c_c] :
      ( ( member_Sum_sum_c_c @ C @ ( uminus1381786404um_c_c @ A4 ) )
     => ~ ( member_Sum_sum_c_c @ C @ A4 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_218_ComplD) ).

thf(140,axiom,
    ! [C: real > finite1398487019real_c,A4: set_re2066790124real_c] :
      ( ( member1321351885real_c @ C @ ( uminus946614837real_c @ A4 ) )
     => ~ ( member1321351885real_c @ C @ A4 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_217_ComplD) ).

thf(141,axiom,
    ! [C: produc190496183real_c,A4: set_Pr1389752855real_c] :
      ( ( member1895684704real_c @ C @ ( uminus232257166real_c @ A4 ) )
     => ~ ( member1895684704real_c @ C @ A4 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_216_ComplD) ).

thf(142,axiom,
    ! [C: sum_sum_c_d,A4: set_Sum_sum_c_d] :
      ( ( member_Sum_sum_c_d @ C @ ( uminus373867045um_c_d @ A4 ) )
     => ~ ( member_Sum_sum_c_d @ C @ A4 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_215_ComplD) ).

thf(143,axiom,
    ! [C: c,A4: set_c] :
      ( ( member_c @ C @ ( uminus_uminus_set_c @ A4 ) )
     => ~ ( member_c @ C @ A4 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_214_ComplD) ).

thf(144,axiom,
    ! [A4: set_Sum_sum_c_c] :
      ( ( uminus1381786404um_c_c @ ( uminus1381786404um_c_c @ A4 ) )
      = A4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_213_double__complement) ).

thf(145,axiom,
    ! [A4: set_re2066790124real_c,B4: set_re2066790124real_c,X: real > finite1398487019real_c] :
      ( ( ord_le35002188real_c @ A4 @ B4 )
     => ( ( member1321351885real_c @ X @ A4 )
       => ( member1321351885real_c @ X @ B4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_212_in__mono) ).

thf(146,axiom,
    ! [A4: set_Pr1389752855real_c,B4: set_Pr1389752855real_c,X: produc190496183real_c] :
      ( ( ord_le977353143real_c @ A4 @ B4 )
     => ( ( member1895684704real_c @ X @ A4 )
       => ( member1895684704real_c @ X @ B4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_211_in__mono) ).

thf(147,axiom,
    ! [A4: set_Sum_sum_c_d,B4: set_Sum_sum_c_d,X: sum_sum_c_d] :
      ( ( ord_le764260924um_c_d @ A4 @ B4 )
     => ( ( member_Sum_sum_c_d @ X @ A4 )
       => ( member_Sum_sum_c_d @ X @ B4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_210_in__mono) ).

thf(148,axiom,
    ! [A4: set_c,B4: set_c,X: c] :
      ( ( ord_less_eq_set_c @ A4 @ B4 )
     => ( ( member_c @ X @ A4 )
       => ( member_c @ X @ B4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_209_in__mono) ).

thf(149,axiom,
    ! [A4: set_Sum_sum_c_c,B4: set_Sum_sum_c_c,X: sum_sum_c_c] :
      ( ( ord_le1772180283um_c_c @ A4 @ B4 )
     => ( ( member_Sum_sum_c_c @ X @ A4 )
       => ( member_Sum_sum_c_c @ X @ B4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_208_in__mono) ).

thf(150,axiom,
    ! [A4: set_re2066790124real_c,B4: set_re2066790124real_c,C: real > finite1398487019real_c] :
      ( ( ord_le35002188real_c @ A4 @ B4 )
     => ( ( member1321351885real_c @ C @ A4 )
       => ( member1321351885real_c @ C @ B4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_207_subsetD) ).

thf(151,axiom,
    ! [A4: set_Pr1389752855real_c,B4: set_Pr1389752855real_c,C: produc190496183real_c] :
      ( ( ord_le977353143real_c @ A4 @ B4 )
     => ( ( member1895684704real_c @ C @ A4 )
       => ( member1895684704real_c @ C @ B4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_206_subsetD) ).

thf(152,axiom,
    ! [A4: set_Sum_sum_c_d,B4: set_Sum_sum_c_d,C: sum_sum_c_d] :
      ( ( ord_le764260924um_c_d @ A4 @ B4 )
     => ( ( member_Sum_sum_c_d @ C @ A4 )
       => ( member_Sum_sum_c_d @ C @ B4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_205_subsetD) ).

thf(153,axiom,
    ! [A4: set_c,B4: set_c,C: c] :
      ( ( ord_less_eq_set_c @ A4 @ B4 )
     => ( ( member_c @ C @ A4 )
       => ( member_c @ C @ B4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_204_subsetD) ).

thf(154,axiom,
    ! [A4: set_Sum_sum_c_c,B4: set_Sum_sum_c_c,C: sum_sum_c_c] :
      ( ( ord_le1772180283um_c_c @ A4 @ B4 )
     => ( ( member_Sum_sum_c_c @ C @ A4 )
       => ( member_Sum_sum_c_c @ C @ B4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_203_subsetD) ).

thf(155,axiom,
    ( ord_le35002188real_c
    = ( ^ [A5: set_re2066790124real_c,B5: set_re2066790124real_c] :
        ! [X3: real > finite1398487019real_c] :
          ( ( member1321351885real_c @ X3 @ A5 )
         => ( member1321351885real_c @ X3 @ B5 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_202_subset__eq) ).

thf(156,axiom,
    ( ord_le977353143real_c
    = ( ^ [A5: set_Pr1389752855real_c,B5: set_Pr1389752855real_c] :
        ! [X3: produc190496183real_c] :
          ( ( member1895684704real_c @ X3 @ A5 )
         => ( member1895684704real_c @ X3 @ B5 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_201_subset__eq) ).

thf(157,axiom,
    ( ord_le764260924um_c_d
    = ( ^ [A5: set_Sum_sum_c_d,B5: set_Sum_sum_c_d] :
        ! [X3: sum_sum_c_d] :
          ( ( member_Sum_sum_c_d @ X3 @ A5 )
         => ( member_Sum_sum_c_d @ X3 @ B5 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_200_subset__eq) ).

thf(158,axiom,
    ( ord_less_eq_set_c
    = ( ^ [A5: set_c,B5: set_c] :
        ! [X3: c] :
          ( ( member_c @ X3 @ A5 )
         => ( member_c @ X3 @ B5 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_199_subset__eq) ).

thf(159,axiom,
    ( ord_le1772180283um_c_c
    = ( ^ [A5: set_Sum_sum_c_c,B5: set_Sum_sum_c_c] :
        ! [X3: sum_sum_c_c] :
          ( ( member_Sum_sum_c_c @ X3 @ A5 )
         => ( member_Sum_sum_c_c @ X3 @ B5 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_198_subset__eq) ).

thf(160,axiom,
    ( ord_le35002188real_c
    = ( ^ [A5: set_re2066790124real_c,B5: set_re2066790124real_c] :
        ! [T2: real > finite1398487019real_c] :
          ( ( member1321351885real_c @ T2 @ A5 )
         => ( member1321351885real_c @ T2 @ B5 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_197_subset__iff) ).

thf(161,axiom,
    ( ord_le977353143real_c
    = ( ^ [A5: set_Pr1389752855real_c,B5: set_Pr1389752855real_c] :
        ! [T2: produc190496183real_c] :
          ( ( member1895684704real_c @ T2 @ A5 )
         => ( member1895684704real_c @ T2 @ B5 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_196_subset__iff) ).

thf(162,axiom,
    ( ord_le764260924um_c_d
    = ( ^ [A5: set_Sum_sum_c_d,B5: set_Sum_sum_c_d] :
        ! [T2: sum_sum_c_d] :
          ( ( member_Sum_sum_c_d @ T2 @ A5 )
         => ( member_Sum_sum_c_d @ T2 @ B5 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_195_subset__iff) ).

thf(163,axiom,
    ( ord_less_eq_set_c
    = ( ^ [A5: set_c,B5: set_c] :
        ! [T2: c] :
          ( ( member_c @ T2 @ A5 )
         => ( member_c @ T2 @ B5 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_194_subset__iff) ).

thf(164,axiom,
    ( ord_le1772180283um_c_c
    = ( ^ [A5: set_Sum_sum_c_c,B5: set_Sum_sum_c_c] :
        ! [T2: sum_sum_c_c] :
          ( ( member_Sum_sum_c_c @ T2 @ A5 )
         => ( member_Sum_sum_c_c @ T2 @ B5 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_193_subset__iff) ).

thf(165,axiom,
    ! [P: c > $o,Q: c > $o] :
      ( ! [X4: c] :
          ( ( P @ X4 )
         => ( Q @ X4 ) )
     => ( ord_less_eq_set_c @ ( collect_c @ P ) @ ( collect_c @ Q ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_192_Collect__mono) ).

thf(166,axiom,
    ! [P: finite1398487019real_c > $o,Q: finite1398487019real_c > $o] :
      ( ! [X4: finite1398487019real_c] :
          ( ( P @ X4 )
         => ( Q @ X4 ) )
     => ( ord_le1327118209real_c @ ( collec230941376real_c @ P ) @ ( collec230941376real_c @ Q ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_191_Collect__mono) ).

thf(167,axiom,
    ! [P: c > $o,Q: c > $o] :
      ( ( ord_less_eq_set_c @ ( collect_c @ P ) @ ( collect_c @ Q ) )
      = ( ! [X3: c] :
            ( ( P @ X3 )
           => ( Q @ X3 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_190_Collect__mono__iff) ).

thf(168,axiom,
    ! [P: finite1398487019real_c > $o,Q: finite1398487019real_c > $o] :
      ( ( ord_le1327118209real_c @ ( collec230941376real_c @ P ) @ ( collec230941376real_c @ Q ) )
      = ( ! [X3: finite1398487019real_c] :
            ( ( P @ X3 )
           => ( Q @ X3 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_189_Collect__mono__iff) ).

thf(169,axiom,
    ! [X: sum_sum_c_d,A4: set_Sum_sum_c_d,B: sum_sum_c_d,F: sum_sum_c_d > sum_sum_c_d] :
      ( ( member_Sum_sum_c_d @ X @ A4 )
     => ( ( B
          = ( F @ X ) )
       => ( member_Sum_sum_c_d @ B @ ( image_1567202899um_c_d @ F @ A4 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_188_rev__image__eqI) ).

thf(170,axiom,
    ! [X: sum_sum_c_d,A4: set_Sum_sum_c_d,B: sum_sum_c_c,F: sum_sum_c_d > sum_sum_c_c] :
      ( ( member_Sum_sum_c_d @ X @ A4 )
     => ( ( B
          = ( F @ X ) )
       => ( member_Sum_sum_c_c @ B @ ( image_1558941394um_c_c @ F @ A4 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_187_rev__image__eqI) ).

thf(171,axiom,
    ! [X: c,A4: set_c,B: real > finite1398487019real_c,F: c > real > finite1398487019real_c] :
      ( ( member_c @ X @ A4 )
     => ( ( B
          = ( F @ X ) )
       => ( member1321351885real_c @ B @ ( image_1226855921real_c @ F @ A4 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_186_rev__image__eqI) ).

thf(172,axiom,
    ! [X: sum_sum_c_c,A4: set_Sum_sum_c_c,B: sum_sum_c_d,F: sum_sum_c_c > sum_sum_c_d] :
      ( ( member_Sum_sum_c_c @ X @ A4 )
     => ( ( B
          = ( F @ X ) )
       => ( member_Sum_sum_c_d @ B @ ( image_675141842um_c_d @ F @ A4 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_185_rev__image__eqI) ).

thf(173,axiom,
    ! [X: sum_sum_c_c,A4: set_Sum_sum_c_c,B: sum_sum_c_c,F: sum_sum_c_c > sum_sum_c_c] :
      ( ( member_Sum_sum_c_c @ X @ A4 )
     => ( ( B
          = ( F @ X ) )
       => ( member_Sum_sum_c_c @ B @ ( image_666880337um_c_c @ F @ A4 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_184_rev__image__eqI) ).

thf(174,axiom,
    ! [X: sum_sum_c_d,A4: set_Sum_sum_c_d,B: c,F: sum_sum_c_d > c] :
      ( ( member_Sum_sum_c_d @ X @ A4 )
     => ( ( B
          = ( F @ X ) )
       => ( member_c @ B @ ( image_Sum_sum_c_d_c @ F @ A4 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_183_rev__image__eqI) ).

thf(175,axiom,
    ! [X: c,A4: set_c,B: sum_sum_c_d,F: c > sum_sum_c_d] :
      ( ( member_c @ X @ A4 )
     => ( ( B
          = ( F @ X ) )
       => ( member_Sum_sum_c_d @ B @ ( image_c_Sum_sum_c_d @ F @ A4 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_182_rev__image__eqI) ).

thf(176,axiom,
    ! [X: c,A4: set_c,B: sum_sum_c_c,F: c > sum_sum_c_c] :
      ( ( member_c @ X @ A4 )
     => ( ( B
          = ( F @ X ) )
       => ( member_Sum_sum_c_c @ B @ ( image_c_Sum_sum_c_c @ F @ A4 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_181_rev__image__eqI) ).

thf(177,axiom,
    ! [X: sum_sum_c_c,A4: set_Sum_sum_c_c,B: c,F: sum_sum_c_c > c] :
      ( ( member_Sum_sum_c_c @ X @ A4 )
     => ( ( B
          = ( F @ X ) )
       => ( member_c @ B @ ( image_Sum_sum_c_c_c @ F @ A4 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_180_rev__image__eqI) ).

thf(178,axiom,
    ! [X: c,A4: set_c,B: c,F: c > c] :
      ( ( member_c @ X @ A4 )
     => ( ( B
          = ( F @ X ) )
       => ( member_c @ B @ ( image_c_c @ F @ A4 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_179_rev__image__eqI) ).

thf(179,axiom,
    ! [F: c > sum_sum_c_d,A4: set_c,P: sum_sum_c_d > $o] :
      ( ! [X4: sum_sum_c_d] :
          ( ( member_Sum_sum_c_d @ X4 @ ( image_c_Sum_sum_c_d @ F @ A4 ) )
         => ( P @ X4 ) )
     => ! [X7: c] :
          ( ( member_c @ X7 @ A4 )
         => ( P @ ( F @ X7 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_178_ball__imageD) ).

thf(180,axiom,
    ! [F: c > sum_sum_c_c,A4: set_c,P: sum_sum_c_c > $o] :
      ( ! [X4: sum_sum_c_c] :
          ( ( member_Sum_sum_c_c @ X4 @ ( image_c_Sum_sum_c_c @ F @ A4 ) )
         => ( P @ X4 ) )
     => ! [X7: c] :
          ( ( member_c @ X7 @ A4 )
         => ( P @ ( F @ X7 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_177_ball__imageD) ).

thf(181,axiom,
    ! [M: set_c,N: set_c,F: c > sum_sum_c_d,G: c > sum_sum_c_d] :
      ( ( M = N )
     => ( ! [X4: c] :
            ( ( member_c @ X4 @ N )
           => ( ( F @ X4 )
              = ( G @ X4 ) ) )
       => ( ( image_c_Sum_sum_c_d @ F @ M )
          = ( image_c_Sum_sum_c_d @ G @ N ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_176_image__cong) ).

thf(182,axiom,
    ! [M: set_c,N: set_c,F: c > sum_sum_c_c,G: c > sum_sum_c_c] :
      ( ( M = N )
     => ( ! [X4: c] :
            ( ( member_c @ X4 @ N )
           => ( ( F @ X4 )
              = ( G @ X4 ) ) )
       => ( ( image_c_Sum_sum_c_c @ F @ M )
          = ( image_c_Sum_sum_c_c @ G @ N ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_175_image__cong) ).

thf(183,axiom,
    ! [F: c > sum_sum_c_d,A4: set_c,P: sum_sum_c_d > $o] :
      ( ? [X7: sum_sum_c_d] :
          ( ( member_Sum_sum_c_d @ X7 @ ( image_c_Sum_sum_c_d @ F @ A4 ) )
          & ( P @ X7 ) )
     => ? [X4: c] :
          ( ( member_c @ X4 @ A4 )
          & ( P @ ( F @ X4 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_174_bex__imageD) ).

thf(184,axiom,
    ! [F: c > sum_sum_c_c,A4: set_c,P: sum_sum_c_c > $o] :
      ( ? [X7: sum_sum_c_c] :
          ( ( member_Sum_sum_c_c @ X7 @ ( image_c_Sum_sum_c_c @ F @ A4 ) )
          & ( P @ X7 ) )
     => ? [X4: c] :
          ( ( member_c @ X4 @ A4 )
          & ( P @ ( F @ X4 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_173_bex__imageD) ).

thf(185,axiom,
    ! [Z2: sum_sum_c_d,F: c > sum_sum_c_d,A4: set_c] :
      ( ( member_Sum_sum_c_d @ Z2 @ ( image_c_Sum_sum_c_d @ F @ A4 ) )
      = ( ? [X3: c] :
            ( ( member_c @ X3 @ A4 )
            & ( Z2
              = ( F @ X3 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_172_image__iff) ).

thf(186,axiom,
    ! [Z2: sum_sum_c_c,F: c > sum_sum_c_c,A4: set_c] :
      ( ( member_Sum_sum_c_c @ Z2 @ ( image_c_Sum_sum_c_c @ F @ A4 ) )
      = ( ? [X3: c] :
            ( ( member_c @ X3 @ A4 )
            & ( Z2
              = ( F @ X3 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_171_image__iff) ).

thf(187,axiom,
    ! [X: sum_sum_c_d,A4: set_Sum_sum_c_d,F: sum_sum_c_d > sum_sum_c_d] :
      ( ( member_Sum_sum_c_d @ X @ A4 )
     => ( member_Sum_sum_c_d @ ( F @ X ) @ ( image_1567202899um_c_d @ F @ A4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_170_imageI) ).

thf(188,axiom,
    ! [X: sum_sum_c_d,A4: set_Sum_sum_c_d,F: sum_sum_c_d > sum_sum_c_c] :
      ( ( member_Sum_sum_c_d @ X @ A4 )
     => ( member_Sum_sum_c_c @ ( F @ X ) @ ( image_1558941394um_c_c @ F @ A4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_169_imageI) ).

thf(189,axiom,
    ! [X: c,A4: set_c,F: c > real > finite1398487019real_c] :
      ( ( member_c @ X @ A4 )
     => ( member1321351885real_c @ ( F @ X ) @ ( image_1226855921real_c @ F @ A4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_168_imageI) ).

thf(190,axiom,
    ! [X: sum_sum_c_c,A4: set_Sum_sum_c_c,F: sum_sum_c_c > sum_sum_c_d] :
      ( ( member_Sum_sum_c_c @ X @ A4 )
     => ( member_Sum_sum_c_d @ ( F @ X ) @ ( image_675141842um_c_d @ F @ A4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_167_imageI) ).

thf(191,axiom,
    ! [X: sum_sum_c_c,A4: set_Sum_sum_c_c,F: sum_sum_c_c > sum_sum_c_c] :
      ( ( member_Sum_sum_c_c @ X @ A4 )
     => ( member_Sum_sum_c_c @ ( F @ X ) @ ( image_666880337um_c_c @ F @ A4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_166_imageI) ).

thf(192,axiom,
    ! [X: sum_sum_c_d,A4: set_Sum_sum_c_d,F: sum_sum_c_d > c] :
      ( ( member_Sum_sum_c_d @ X @ A4 )
     => ( member_c @ ( F @ X ) @ ( image_Sum_sum_c_d_c @ F @ A4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_165_imageI) ).

thf(193,axiom,
    ! [X: c,A4: set_c,F: c > sum_sum_c_d] :
      ( ( member_c @ X @ A4 )
     => ( member_Sum_sum_c_d @ ( F @ X ) @ ( image_c_Sum_sum_c_d @ F @ A4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_164_imageI) ).

thf(194,axiom,
    ! [X: c,A4: set_c,F: c > sum_sum_c_c] :
      ( ( member_c @ X @ A4 )
     => ( member_Sum_sum_c_c @ ( F @ X ) @ ( image_c_Sum_sum_c_c @ F @ A4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_163_imageI) ).

thf(195,axiom,
    ! [X: sum_sum_c_c,A4: set_Sum_sum_c_c,F: sum_sum_c_c > c] :
      ( ( member_Sum_sum_c_c @ X @ A4 )
     => ( member_c @ ( F @ X ) @ ( image_Sum_sum_c_c_c @ F @ A4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_162_imageI) ).

thf(196,axiom,
    ! [X: c,A4: set_c,F: c > c] :
      ( ( member_c @ X @ A4 )
     => ( member_c @ ( F @ X ) @ ( image_c_c @ F @ A4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_161_imageI) ).

thf(197,axiom,
    ! [I3: real,L: real,U: real] :
      ( ( member_real @ I3 @ ( set_or656347191t_real @ L @ U ) )
      = ( ( ord_less_eq_real @ L @ I3 )
        & ( ord_less_eq_real @ I3 @ U ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_160_atLeastAtMost__iff) ).

thf(198,axiom,
    ! [I3: real > finite1398487019real_c,L: real > finite1398487019real_c,U: real > finite1398487019real_c] :
      ( ( member1321351885real_c @ I3 @ ( set_or1308937537real_c @ L @ U ) )
      = ( ( ord_le584953750real_c @ L @ I3 )
        & ( ord_le584953750real_c @ I3 @ U ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_159_atLeastAtMost__iff) ).

thf(199,axiom,
    ! [I3: produc190496183real_c,L: produc190496183real_c,U: produc190496183real_c] :
      ( ( member1895684704real_c @ I3 @ ( set_or385782508real_c @ L @ U ) )
      = ( ( ord_le850691415real_c @ L @ I3 )
        & ( ord_le850691415real_c @ I3 @ U ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_158_atLeastAtMost__iff) ).

thf(200,axiom,
    ! [L: real,H: real,L2: real,H2: real] :
      ( ( ( set_or656347191t_real @ L @ H )
        = ( set_or656347191t_real @ L2 @ H2 ) )
      = ( ( ( L = L2 )
          & ( H = H2 ) )
        | ( ~ ( ord_less_eq_real @ L @ H )
          & ~ ( ord_less_eq_real @ L2 @ H2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_157_Icc__eq__Icc) ).

thf(201,axiom,
    ! [C: sum_sum_c_c,A4: set_Sum_sum_c_c] :
      ( ~ ( member_Sum_sum_c_c @ C @ A4 )
     => ( member_Sum_sum_c_c @ C @ ( uminus1381786404um_c_c @ A4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_156_ComplI) ).

thf(202,axiom,
    ! [C: real > finite1398487019real_c,A4: set_re2066790124real_c] :
      ( ~ ( member1321351885real_c @ C @ A4 )
     => ( member1321351885real_c @ C @ ( uminus946614837real_c @ A4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_155_ComplI) ).

thf(203,axiom,
    ! [C: produc190496183real_c,A4: set_Pr1389752855real_c] :
      ( ~ ( member1895684704real_c @ C @ A4 )
     => ( member1895684704real_c @ C @ ( uminus232257166real_c @ A4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_154_ComplI) ).

thf(204,axiom,
    ! [C: sum_sum_c_d,A4: set_Sum_sum_c_d] :
      ( ~ ( member_Sum_sum_c_d @ C @ A4 )
     => ( member_Sum_sum_c_d @ C @ ( uminus373867045um_c_d @ A4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_153_ComplI) ).

thf(205,axiom,
    ! [C: c,A4: set_c] :
      ( ~ ( member_c @ C @ A4 )
     => ( member_c @ C @ ( uminus_uminus_set_c @ A4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_152_ComplI) ).

thf(206,axiom,
    ! [C: sum_sum_c_c,A4: set_Sum_sum_c_c] :
      ( ( member_Sum_sum_c_c @ C @ ( uminus1381786404um_c_c @ A4 ) )
      = ( ~ ( member_Sum_sum_c_c @ C @ A4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_151_Compl__iff) ).

thf(207,axiom,
    ! [C: real > finite1398487019real_c,A4: set_re2066790124real_c] :
      ( ( member1321351885real_c @ C @ ( uminus946614837real_c @ A4 ) )
      = ( ~ ( member1321351885real_c @ C @ A4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_150_Compl__iff) ).

thf(208,axiom,
    ! [C: produc190496183real_c,A4: set_Pr1389752855real_c] :
      ( ( member1895684704real_c @ C @ ( uminus232257166real_c @ A4 ) )
      = ( ~ ( member1895684704real_c @ C @ A4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_149_Compl__iff) ).

thf(209,axiom,
    ! [C: sum_sum_c_d,A4: set_Sum_sum_c_d] :
      ( ( member_Sum_sum_c_d @ C @ ( uminus373867045um_c_d @ A4 ) )
      = ( ~ ( member_Sum_sum_c_d @ C @ A4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_148_Compl__iff) ).

thf(210,axiom,
    ! [C: c,A4: set_c] :
      ( ( member_c @ C @ ( uminus_uminus_set_c @ A4 ) )
      = ( ~ ( member_c @ C @ A4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_147_Compl__iff) ).

thf(211,axiom,
    ! [A4: set_Sum_sum_c_c,B4: set_Sum_sum_c_c] :
      ( ( ( uminus1381786404um_c_c @ A4 )
        = ( uminus1381786404um_c_c @ B4 ) )
      = ( A4 = B4 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_146_Compl__eq__Compl__iff) ).

thf(212,axiom,
    ! [A4: set_re2066790124real_c,B4: set_re2066790124real_c] :
      ( ! [X4: real > finite1398487019real_c] :
          ( ( member1321351885real_c @ X4 @ A4 )
         => ( member1321351885real_c @ X4 @ B4 ) )
     => ( ord_le35002188real_c @ A4 @ B4 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_145_subsetI) ).

thf(213,axiom,
    ! [A4: set_Pr1389752855real_c,B4: set_Pr1389752855real_c] :
      ( ! [X4: produc190496183real_c] :
          ( ( member1895684704real_c @ X4 @ A4 )
         => ( member1895684704real_c @ X4 @ B4 ) )
     => ( ord_le977353143real_c @ A4 @ B4 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_144_subsetI) ).

thf(214,axiom,
    ! [A4: set_Sum_sum_c_d,B4: set_Sum_sum_c_d] :
      ( ! [X4: sum_sum_c_d] :
          ( ( member_Sum_sum_c_d @ X4 @ A4 )
         => ( member_Sum_sum_c_d @ X4 @ B4 ) )
     => ( ord_le764260924um_c_d @ A4 @ B4 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_143_subsetI) ).

thf(215,axiom,
    ! [A4: set_c,B4: set_c] :
      ( ! [X4: c] :
          ( ( member_c @ X4 @ A4 )
         => ( member_c @ X4 @ B4 ) )
     => ( ord_less_eq_set_c @ A4 @ B4 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_142_subsetI) ).

thf(216,axiom,
    ! [A4: set_Sum_sum_c_c,B4: set_Sum_sum_c_c] :
      ( ! [X4: sum_sum_c_c] :
          ( ( member_Sum_sum_c_c @ X4 @ A4 )
         => ( member_Sum_sum_c_c @ X4 @ B4 ) )
     => ( ord_le1772180283um_c_c @ A4 @ B4 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_141_subsetI) ).

thf(217,axiom,
    ! [B: sum_sum_c_d,F: sum_sum_c_d > sum_sum_c_d,X: sum_sum_c_d,A4: set_Sum_sum_c_d] :
      ( ( B
        = ( F @ X ) )
     => ( ( member_Sum_sum_c_d @ X @ A4 )
       => ( member_Sum_sum_c_d @ B @ ( image_1567202899um_c_d @ F @ A4 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_140_image__eqI) ).

thf(218,axiom,
    ! [B: sum_sum_c_c,F: sum_sum_c_d > sum_sum_c_c,X: sum_sum_c_d,A4: set_Sum_sum_c_d] :
      ( ( B
        = ( F @ X ) )
     => ( ( member_Sum_sum_c_d @ X @ A4 )
       => ( member_Sum_sum_c_c @ B @ ( image_1558941394um_c_c @ F @ A4 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_139_image__eqI) ).

thf(219,axiom,
    ! [B: real > finite1398487019real_c,F: c > real > finite1398487019real_c,X: c,A4: set_c] :
      ( ( B
        = ( F @ X ) )
     => ( ( member_c @ X @ A4 )
       => ( member1321351885real_c @ B @ ( image_1226855921real_c @ F @ A4 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_138_image__eqI) ).

thf(220,axiom,
    ! [B: sum_sum_c_d,F: sum_sum_c_c > sum_sum_c_d,X: sum_sum_c_c,A4: set_Sum_sum_c_c] :
      ( ( B
        = ( F @ X ) )
     => ( ( member_Sum_sum_c_c @ X @ A4 )
       => ( member_Sum_sum_c_d @ B @ ( image_675141842um_c_d @ F @ A4 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_137_image__eqI) ).

thf(221,axiom,
    ! [B: sum_sum_c_c,F: sum_sum_c_c > sum_sum_c_c,X: sum_sum_c_c,A4: set_Sum_sum_c_c] :
      ( ( B
        = ( F @ X ) )
     => ( ( member_Sum_sum_c_c @ X @ A4 )
       => ( member_Sum_sum_c_c @ B @ ( image_666880337um_c_c @ F @ A4 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_136_image__eqI) ).

thf(222,axiom,
    ! [B: c,F: sum_sum_c_d > c,X: sum_sum_c_d,A4: set_Sum_sum_c_d] :
      ( ( B
        = ( F @ X ) )
     => ( ( member_Sum_sum_c_d @ X @ A4 )
       => ( member_c @ B @ ( image_Sum_sum_c_d_c @ F @ A4 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_135_image__eqI) ).

thf(223,axiom,
    ! [B: sum_sum_c_d,F: c > sum_sum_c_d,X: c,A4: set_c] :
      ( ( B
        = ( F @ X ) )
     => ( ( member_c @ X @ A4 )
       => ( member_Sum_sum_c_d @ B @ ( image_c_Sum_sum_c_d @ F @ A4 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_134_image__eqI) ).

thf(224,axiom,
    ! [B: sum_sum_c_c,F: c > sum_sum_c_c,X: c,A4: set_c] :
      ( ( B
        = ( F @ X ) )
     => ( ( member_c @ X @ A4 )
       => ( member_Sum_sum_c_c @ B @ ( image_c_Sum_sum_c_c @ F @ A4 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_133_image__eqI) ).

thf(225,axiom,
    ! [B: c,F: sum_sum_c_c > c,X: sum_sum_c_c,A4: set_Sum_sum_c_c] :
      ( ( B
        = ( F @ X ) )
     => ( ( member_Sum_sum_c_c @ X @ A4 )
       => ( member_c @ B @ ( image_Sum_sum_c_c_c @ F @ A4 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_132_image__eqI) ).

thf(226,axiom,
    ! [B: c,F: c > c,X: c,A4: set_c] :
      ( ( B
        = ( F @ X ) )
     => ( ( member_c @ X @ A4 )
       => ( member_c @ B @ ( image_c_c @ F @ A4 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_131_image__eqI) ).

thf(227,axiom,
    ! [A4: set_Sum_sum_c_c,B4: set_Sum_sum_c_c] :
      ( ( ord_le1772180283um_c_c @ A4 @ B4 )
     => ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ B4 ) @ ( uminus1381786404um_c_c @ A4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_130_Compl__anti__mono) ).

thf(228,axiom,
    ! [A4: set_Sum_sum_c_c,B4: set_Sum_sum_c_c] :
      ( ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ A4 ) @ ( uminus1381786404um_c_c @ B4 ) )
      = ( ord_le1772180283um_c_c @ B4 @ A4 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_129_Compl__subset__Compl__iff) ).

thf(229,axiom,
    ! [A: real,B: real,C: real,D: real] :
      ( ( ord_less_eq_set_real @ ( set_or656347191t_real @ A @ B ) @ ( set_or656347191t_real @ C @ D ) )
      = ( ~ ( ord_less_eq_real @ A @ B )
        | ( ( ord_less_eq_real @ C @ A )
          & ( ord_less_eq_real @ B @ D ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_128_atLeastatMost__subset__iff) ).

thf(230,axiom,
    ! [X: real,Y: real] :
      ( ( image_real_real @ uminus_uminus_real @ ( set_or656347191t_real @ X @ Y ) )
      = ( set_or656347191t_real @ ( uminus_uminus_real @ Y ) @ ( uminus_uminus_real @ X ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_127_image__uminus__atLeastAtMost) ).

thf(231,axiom,
    ! [Y: set_Sum_sum_c_c,X: set_Sum_sum_c_c] :
      ( ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ Y ) @ X )
     => ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ X ) @ Y ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_126_compl__le__swap2) ).

thf(232,axiom,
    ! [Y: set_Sum_sum_c_c,X: set_Sum_sum_c_c] :
      ( ( ord_le1772180283um_c_c @ Y @ ( uminus1381786404um_c_c @ X ) )
     => ( ord_le1772180283um_c_c @ X @ ( uminus1381786404um_c_c @ Y ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_125_compl__le__swap1) ).

thf(233,axiom,
    ! [X: set_Sum_sum_c_c,Y: set_Sum_sum_c_c] :
      ( ( ord_le1772180283um_c_c @ X @ Y )
     => ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ Y ) @ ( uminus1381786404um_c_c @ X ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_124_compl__mono) ).

thf(234,axiom,
    ( denota256060419gree_c
    = ( ^ [Nu: finite1398487019real_c,Nu2: finite1398487019real_c,V: set_c] :
        ! [X3: c] :
          ( ( member_c @ X3 @ V )
         => ( ( finite772340578real_c @ Nu @ X3 )
            = ( finite772340578real_c @ Nu2 @ X3 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_123_VSagree__def) ).

thf(235,axiom,
    ! [Nu3: finite1398487019real_c,A4: set_c] : ( denota256060419gree_c @ Nu3 @ Nu3 @ A4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_122_VSagree__refl) ).

thf(236,axiom,
    ! [B4: set_c,A4: set_c,Nu3: finite1398487019real_c,Nu4: finite1398487019real_c] :
      ( ( ord_less_eq_set_c @ B4 @ A4 )
     => ( ( denota256060419gree_c @ Nu3 @ Nu4 @ A4 )
       => ( denota256060419gree_c @ Nu3 @ Nu4 @ B4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_121_VSagree__supset) ).

thf(237,axiom,
    ! [A4: set_c,B4: set_c,Nu3: finite1398487019real_c,Omega: finite1398487019real_c] :
      ( ( ord_less_eq_set_c @ A4 @ B4 )
     => ( ( denota256060419gree_c @ Nu3 @ Omega @ B4 )
       => ( denota256060419gree_c @ Nu3 @ Omega @ A4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_120_VSagree__sub) ).

thf(238,axiom,
    ! [X: set_Sum_sum_c_c,Y: set_Sum_sum_c_c] :
      ( ( ( uminus1381786404um_c_c @ X )
        = ( uminus1381786404um_c_c @ Y ) )
      = ( X = Y ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_119_compl__eq__compl__iff) ).

thf(239,axiom,
    ! [X: set_Sum_sum_c_c] :
      ( ( uminus1381786404um_c_c @ ( uminus1381786404um_c_c @ X ) )
      = X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_118_double__compl) ).

thf(240,axiom,
    ! [Nu3: produc190496183real_c,I: denota231621370t_unit,A4: formula_a_b_c,B4: formula_a_b_c] :
      ( ( member1895684704real_c @ Nu3 @ ( denota968303861_a_b_c @ I @ ( equiv_a_b_c @ A4 @ B4 ) ) )
      = ( ( member1895684704real_c @ Nu3 @ ( denota968303861_a_b_c @ I @ A4 ) )
        = ( member1895684704real_c @ Nu3 @ ( denota968303861_a_b_c @ I @ B4 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_117_iff__sem) ).

thf(241,axiom,
    ! [X: set_Sum_sum_c_c,Y: set_Sum_sum_c_c] :
      ( ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ X ) @ ( uminus1381786404um_c_c @ Y ) )
      = ( ord_le1772180283um_c_c @ Y @ X ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_116_compl__le__compl__iff) ).

thf(242,axiom,
    ( member1321351885real_c @ sol
    @ ( pi_rea1111636068real_c @ ( set_or656347191t_real @ zero_zero_real @ t )
      @ ^ [Uu: real] :
          ( collec230941376real_c
          @ ^ [X3: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ X3 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_115_mkV) ).

thf(243,axiom,
    ( ( osafe_a_c @ oDEa )
   => ( ( fsafe_a_b_c @ phi )
     => ( ( ode = oDEa )
       => ( ( p = phi )
         => ( ( ord_less_eq_real @ zero_zero_real @ t )
           => ( ( ( produc394644079real_c @ aa @ ba )
                = ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
             => ( ( initia1631504802real_c @ sol
                  @ ^ [X6: real] : ( denota1275485728_a_b_c @ i @ oDEa )
                  @ ( set_or656347191t_real @ zero_zero_real @ t )
                  @ ( collec230941376real_c
                    @ ^ [X3: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ X3 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) )
               => ( ( denota256060419gree_c @ ( sol @ zero_zero_real ) @ ab
                    @ ( collect_c
                      @ ^ [Uu: c] :
                          ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ Uu ) @ ( static_BVO_a_c @ oDEa ) )
                          | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ Uu ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( static_FVO_a_c @ oDEa ) ) )
                          | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ Uu ) @ ( static_FVF_a_b_c @ phi ) ) ) ) )
                 => ( ord_less_eq_real @ zero_zero_real @ t ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_114__092_060open_062_092_060lbrakk_062osafe_AODE_059_Afsafe_A_092_060phi_062_059_AODE_____A_061_AODE_059_AP_A_061_A_092_060phi_062_059_A0_A_092_060le_062_At_059_A_Iaa_M_Aba_J_A_061_Amk__v_AI_AODE_A_Iab_M_Abb_J_A_Isol_At_J_059_A_Isol_Asolves__ode_A_I_092_060lambda_062a_O_AODE__sem_AI_AODE_J_J_A_1230_O_Ot_125_A_123x_O_Amk__v_AI_AODE_A_Iab_M_Abb_J_Ax_A_092_060in_062_Afml__sem_AI_A_092_060phi_062_125_059_AVSagree_A_Isol_A0_J_Aab_A_123uu___O_AInl_Auu___A_092_060in_062_ABVO_AODE_A_092_060or_062_AInl_Auu___A_092_060in_062_AInl_A_096_AFVO_AODE_A_092_060or_062_AInl_Auu___A_092_060in_062_AFVF_A_092_060phi_062_125_092_060rbrakk_062_A_092_060Longrightarrow_062_A0_A_092_060le_062_At_092_060close_062) ).

thf(244,axiom,
    ( ( osafe_a_c @ oDEa )
   => ( ( fsafe_a_b_c @ phi )
     => ( ( ode = oDEa )
       => ( ( p = phi )
         => ( ( ord_less_eq_real @ zero_zero_real @ t )
           => ( ( ( produc394644079real_c @ aa @ ba )
                = ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
             => ( ( initia1631504802real_c @ sol
                  @ ^ [X6: real] : ( denota1275485728_a_b_c @ i @ oDEa )
                  @ ( set_or656347191t_real @ zero_zero_real @ t )
                  @ ( collec230941376real_c
                    @ ^ [X3: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ X3 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) )
               => ( ( denota256060419gree_c @ ( sol @ zero_zero_real ) @ ab
                    @ ( collect_c
                      @ ^ [Uu: c] :
                          ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ Uu ) @ ( static_BVO_a_c @ oDEa ) )
                          | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ Uu ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( static_FVO_a_c @ oDEa ) ) )
                          | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ Uu ) @ ( static_FVF_a_b_c @ phi ) ) ) ) )
                 => ( ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) )
                    = ( denota161327353_a_b_c @ i @ oDEa
                      @ ( produc394644079real_c
                        @ ( finite557796307c_real
                          @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) )
                        @ bb )
                      @ ( finite557796307c_real
                        @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ t ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) ) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_113__092_060open_062_092_060lbrakk_062osafe_AODE_059_Afsafe_A_092_060phi_062_059_AODE_____A_061_AODE_059_AP_A_061_A_092_060phi_062_059_A0_A_092_060le_062_At_059_A_Iaa_M_Aba_J_A_061_Amk__v_AI_AODE_A_Iab_M_Abb_J_A_Isol_At_J_059_A_Isol_Asolves__ode_A_I_092_060lambda_062a_O_AODE__sem_AI_AODE_J_J_A_1230_O_Ot_125_A_123x_O_Amk__v_AI_AODE_A_Iab_M_Abb_J_Ax_A_092_060in_062_Afml__sem_AI_A_092_060phi_062_125_059_AVSagree_A_Isol_A0_J_Aab_A_123uu___O_AInl_Auu___A_092_060in_062_ABVO_AODE_A_092_060or_062_AInl_Auu___A_092_060in_062_AInl_A_096_AFVO_AODE_A_092_060or_062_AInl_Auu___A_092_060in_062_AFVF_A_092_060phi_062_125_092_060rbrakk_062_A_092_060Longrightarrow_062_Amk__v_AI_AODE_A_Iab_M_Abb_J_A_Isol_At_J_A_061_Amk__v_AI_AODE_A_I_092_060chi_062i_O_Aif_Ai_A_092_060in_062_AFVO_AODE_Athen_Asol_A0_A_E_Ai_Aelse_Aab_A_E_Ai_M_Abb_J_A_I_092_060chi_062i_O_Aif_Ai_A_092_060in_062_AFVO_AODE_Athen_Asol_At_A_E_Ai_Aelse_Aab_A_E_Ai_J_092_060close_062) ).

thf(245,axiom,
    ( ( osafe_a_c @ oDEa )
   => ( ( fsafe_a_b_c @ phi )
     => ( ( ode = oDEa )
       => ( ( p = phi )
         => ( ( ord_less_eq_real @ zero_zero_real @ t )
           => ( ( ( produc394644079real_c @ aa @ ba )
                = ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
             => ( ( initia1631504802real_c @ sol
                  @ ^ [X6: real] : ( denota1275485728_a_b_c @ i @ oDEa )
                  @ ( set_or656347191t_real @ zero_zero_real @ t )
                  @ ( collec230941376real_c
                    @ ^ [X3: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ X3 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) )
               => ( ( denota256060419gree_c @ ( sol @ zero_zero_real ) @ ab
                    @ ( collect_c
                      @ ^ [Uu: c] :
                          ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ Uu ) @ ( static_BVO_a_c @ oDEa ) )
                          | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ Uu ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( static_FVO_a_c @ oDEa ) ) )
                          | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ Uu ) @ ( static_FVF_a_b_c @ phi ) ) ) ) )
                 => ( ab
                    = ( finite557796307c_real
                      @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_112__092_060open_062_092_060lbrakk_062osafe_AODE_059_Afsafe_A_092_060phi_062_059_AODE_____A_061_AODE_059_AP_A_061_A_092_060phi_062_059_A0_A_092_060le_062_At_059_A_Iaa_M_Aba_J_A_061_Amk__v_AI_AODE_A_Iab_M_Abb_J_A_Isol_At_J_059_A_Isol_Asolves__ode_A_I_092_060lambda_062a_O_AODE__sem_AI_AODE_J_J_A_1230_O_Ot_125_A_123x_O_Amk__v_AI_AODE_A_Iab_M_Abb_J_Ax_A_092_060in_062_Afml__sem_AI_A_092_060phi_062_125_059_AVSagree_A_Isol_A0_J_Aab_A_123uu___O_AInl_Auu___A_092_060in_062_ABVO_AODE_A_092_060or_062_AInl_Auu___A_092_060in_062_AInl_A_096_AFVO_AODE_A_092_060or_062_AInl_Auu___A_092_060in_062_AFVF_A_092_060phi_062_125_092_060rbrakk_062_A_092_060Longrightarrow_062_Aab_A_061_A_I_092_060chi_062i_O_Aif_Ai_A_092_060in_062_AFVO_AODE_Athen_Asol_A0_A_E_Ai_Aelse_Aab_A_E_Ai_J_092_060close_062) ).

thf(246,axiom,
    ! [X: c,I: denota231621370t_unit,ODE: oDE_a_c] :
      ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ X ) @ ( denota1293057250_a_b_c @ I @ ODE ) )
      = ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ X ) @ ( denota1293057250_a_b_c @ I @ ODE ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_111_ODE__vars__lr) ).

thf(247,axiom,
    ( ord_le1342644953l_real
    = ( ^ [X3: produc957004601l_real,Y3: produc957004601l_real] :
          ( ( ord_less_eq_real @ ( produc1422991709l_real @ X3 ) @ ( produc1422991709l_real @ Y3 ) )
          & ( ord_less_eq_real @ ( produc1407670175l_real @ X3 ) @ ( produc1407670175l_real @ Y3 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_110_less__eq__prod__def) ).

thf(248,axiom,
    ( ord_le850691415real_c
    = ( ^ [X3: produc190496183real_c,Y3: produc190496183real_c] :
          ( ( ord_le775706699real_c @ ( produc2010422875real_c @ X3 ) @ ( produc2010422875real_c @ Y3 ) )
          & ( ord_le775706699real_c @ ( produc314122909real_c @ X3 ) @ ( produc314122909real_c @ Y3 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_109_less__eq__prod__def) ).

thf(249,axiom,
    ! [X: produc190496183real_c,Y: produc190496183real_c] :
      ( ( ord_le850691415real_c @ X @ Y )
     => ( ord_le775706699real_c @ ( produc314122909real_c @ X ) @ ( produc314122909real_c @ Y ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_108_snd__mono) ).

thf(250,axiom,
    ! [X: produc190496183real_c,Y: produc190496183real_c] :
      ( ( ord_le850691415real_c @ X @ Y )
     => ( ord_le775706699real_c @ ( produc2010422875real_c @ X ) @ ( produc2010422875real_c @ Y ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_107_fst__mono) ).

thf(251,axiom,
    ! [X: real,X5: real,Y: real,Y6: real] :
      ( ( ord_less_eq_real @ X @ X5 )
     => ( ( ord_less_eq_real @ Y @ Y6 )
       => ( ord_le1342644953l_real @ ( produc705216881l_real @ X @ Y ) @ ( produc705216881l_real @ X5 @ Y6 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_106_Pair__mono) ).

thf(252,axiom,
    ! [X: finite1398487019real_c,X5: finite1398487019real_c,Y: finite1398487019real_c,Y6: finite1398487019real_c] :
      ( ( ord_le775706699real_c @ X @ X5 )
     => ( ( ord_le775706699real_c @ Y @ Y6 )
       => ( ord_le850691415real_c @ ( produc394644079real_c @ X @ Y ) @ ( produc394644079real_c @ X5 @ Y6 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_105_Pair__mono) ).

thf(253,axiom,
    ! [A4: produc190496183real_c,B4: produc190496183real_c,V2: set_Sum_sum_c_c] :
      ( ( denota1997846518gree_c @ A4 @ B4 @ V2 )
     => ( denota1997846518gree_c @ B4 @ A4 @ V2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_104_agree__comm) ).

thf(254,axiom,
    ! [Nu3: produc190496183real_c,A4: set_Sum_sum_c_c] : ( denota1997846518gree_c @ Nu3 @ Nu3 @ A4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_103_agree__refl) ).

thf(255,axiom,
    ! [X: real] :
      ( ( zero_zero_real = X )
      = ( X = zero_zero_real ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_102_zero__reorient) ).

thf(256,axiom,
    ( denota1896987029_a_b_c
    = ( ^ [I5: denota231621370t_unit,ODE2: oDE_a_c,Sol2: finite1398487019real_c] : ( produc394644079real_c @ Sol2 @ ( denota1275485728_a_b_c @ I5 @ ODE2 @ Sol2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_101_mk__xode_Osimps) ).

thf(257,axiom,
    ! [X: denota231621370t_unit,Xa: oDE_a_c,Xb: finite1398487019real_c,Y: produc190496183real_c] :
      ( ( ( denota1896987029_a_b_c @ X @ Xa @ Xb )
        = Y )
     => ( Y
        = ( produc394644079real_c @ Xb @ ( denota1275485728_a_b_c @ X @ Xa @ Xb ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_100_mk__xode_Oelims) ).

thf(258,axiom,
    ! [I: denota231621370t_unit,ODE: oDE_a_c,Nu3: produc190496183real_c,Sol: finite1398487019real_c] :
      ( ( denota1997846518gree_c @ ( denota161327353_a_b_c @ I @ ODE @ Nu3 @ Sol ) @ Nu3 @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ I @ ODE ) ) )
      & ( denota1997846518gree_c @ ( denota161327353_a_b_c @ I @ ODE @ Nu3 @ Sol ) @ ( denota1896987029_a_b_c @ I @ ODE @ Sol ) @ ( denota1293057250_a_b_c @ I @ ODE ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_99_mk__v__agree) ).

thf(259,axiom,
    ( uminus1225118734um_c_c
    = ( ^ [X3: produc214722967um_c_c] : ( produc1439061071um_c_c @ ( uminus1381786404um_c_c @ ( produc1983230011um_c_c @ X3 ) ) @ ( uminus1381786404um_c_c @ ( produc1132019837um_c_c @ X3 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_98_uminus__prod__def) ).

thf(260,axiom,
    ( uminus17964590real_c
    = ( ^ [X3: produc190496183real_c] : ( produc394644079real_c @ ( uminus1737280820real_c @ ( produc2010422875real_c @ X3 ) ) @ ( uminus1737280820real_c @ ( produc314122909real_c @ X3 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_97_uminus__prod__def) ).

thf(261,axiom,
    ( uminus1737280820real_c
    = ( ^ [X3: finite1398487019real_c] :
          ( finite557796307c_real
          @ ^ [I2: c] : ( uminus_uminus_real @ ( finite772340578real_c @ X3 @ I2 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_96_uminus__vec__def) ).

thf(262,axiom,
    ! [Nu3: produc190496183real_c,I: denota231621370t_unit,ODE: oDE_a_c,Sol: finite1398487019real_c] :
    ? [Omega2: produc190496183real_c] :
      ( ( denota1997846518gree_c @ Omega2 @ Nu3 @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ I @ ODE ) ) )
      & ( denota1997846518gree_c @ Omega2 @ ( denota1896987029_a_b_c @ I @ ODE @ Sol ) @ ( denota1293057250_a_b_c @ I @ ODE ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_95_mk__v__exists) ).

thf(263,axiom,
    ! [A4: set_Sum_sum_c_c,B4: set_Sum_sum_c_c,Nu3: produc190496183real_c,Omega: produc190496183real_c] :
      ( ( ord_le1772180283um_c_c @ A4 @ B4 )
     => ( ( denota1997846518gree_c @ Nu3 @ Omega @ B4 )
       => ( denota1997846518gree_c @ Nu3 @ Omega @ A4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_94_agree__sub) ).

thf(264,axiom,
    ! [B4: set_Sum_sum_c_c,A4: set_Sum_sum_c_c,Nu3: produc190496183real_c,Nu4: produc190496183real_c] :
      ( ( ord_le1772180283um_c_c @ B4 @ A4 )
     => ( ( denota1997846518gree_c @ Nu3 @ Nu4 @ A4 )
       => ( denota1997846518gree_c @ Nu3 @ Nu4 @ B4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_93_agree__supset) ).

thf(265,axiom,
    ! [A: real,B: real] :
      ( ( ord_less_eq_real @ A @ ( uminus_uminus_real @ B ) )
      = ( ord_less_eq_real @ B @ ( uminus_uminus_real @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_92_le__minus__iff) ).

thf(266,axiom,
    ! [A: real,B: real] :
      ( ( ord_less_eq_real @ ( uminus_uminus_real @ A ) @ B )
      = ( ord_less_eq_real @ ( uminus_uminus_real @ B ) @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_91_minus__le__iff) ).

thf(267,axiom,
    ! [A: real,B: real] :
      ( ( ord_less_eq_real @ A @ B )
     => ( ord_less_eq_real @ ( uminus_uminus_real @ B ) @ ( uminus_uminus_real @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_90_le__imp__neg__le) ).

thf(268,axiom,
    ! [Nu3: produc190496183real_c,I: denota231621370t_unit,A4: formula_a_b_c,B4: formula_a_b_c] :
      ( ( ( member1895684704real_c @ Nu3 @ ( denota968303861_a_b_c @ I @ A4 ) )
        = ( member1895684704real_c @ Nu3 @ ( denota968303861_a_b_c @ I @ B4 ) ) )
      = ( ( ( member1895684704real_c @ Nu3 @ ( denota968303861_a_b_c @ I @ A4 ) )
         => ( member1895684704real_c @ Nu3 @ ( denota968303861_a_b_c @ I @ B4 ) ) )
        & ( ( member1895684704real_c @ Nu3 @ ( denota968303861_a_b_c @ I @ B4 ) )
         => ( member1895684704real_c @ Nu3 @ ( denota968303861_a_b_c @ I @ A4 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_89_iff__to__impl) ).

thf(269,axiom,
    ! [S2: real] :
      ( ( ord_less_eq_real @ zero_zero_real @ S2 )
     => ( ( ord_less_eq_real @ S2 @ t )
       => ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ S2 ) ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_88_allT) ).

thf(270,axiom,
    ! [A: real] :
      ( ( ord_less_eq_real @ zero_zero_real @ ( uminus_uminus_real @ A ) )
      = ( ord_less_eq_real @ A @ zero_zero_real ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_87_neg__0__le__iff__le) ).

thf(271,axiom,
    ! [A: real] :
      ( ( ord_less_eq_real @ ( uminus_uminus_real @ A ) @ zero_zero_real )
      = ( ord_less_eq_real @ zero_zero_real @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_86_neg__le__0__iff__le) ).

thf(272,axiom,
    ! [A: real] :
      ( ( ord_less_eq_real @ A @ ( uminus_uminus_real @ A ) )
      = ( ord_less_eq_real @ A @ zero_zero_real ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_85_less__eq__neg__nonpos) ).

thf(273,axiom,
    ! [A: real] :
      ( ( ord_less_eq_real @ ( uminus_uminus_real @ A ) @ A )
      = ( ord_less_eq_real @ zero_zero_real @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_84_neg__less__eq__nonneg) ).

thf(274,axiom,
    ! [X: produc190496183real_c] :
      ( ( produc314122909real_c @ ( uminus17964590real_c @ X ) )
      = ( uminus1737280820real_c @ ( produc314122909real_c @ X ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_83_snd__uminus) ).

thf(275,axiom,
    ! [X: produc190496183real_c] :
      ( ( produc2010422875real_c @ ( uminus17964590real_c @ X ) )
      = ( uminus1737280820real_c @ ( produc2010422875real_c @ X ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_82_fst__uminus) ).

thf(276,axiom,
    ! [X: finite1398487019real_c,I3: c] :
      ( ( finite772340578real_c @ ( uminus1737280820real_c @ X ) @ I3 )
      = ( uminus_uminus_real @ ( finite772340578real_c @ X @ I3 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_81_vector__uminus__component) ).

thf(277,axiom,
    ! [A: set_Sum_sum_c_c,B: set_Sum_sum_c_c] :
      ( ( uminus1225118734um_c_c @ ( produc1439061071um_c_c @ A @ B ) )
      = ( produc1439061071um_c_c @ ( uminus1381786404um_c_c @ A ) @ ( uminus1381786404um_c_c @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_80_uminus__Pair) ).

thf(278,axiom,
    ! [A: finite1398487019real_c,B: finite1398487019real_c] :
      ( ( uminus17964590real_c @ ( produc394644079real_c @ A @ B ) )
      = ( produc394644079real_c @ ( uminus1737280820real_c @ A ) @ ( uminus1737280820real_c @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_79_uminus__Pair) ).

thf(279,axiom,
    ! [B: real,A: real] :
      ( ( ord_less_eq_real @ ( uminus_uminus_real @ B ) @ ( uminus_uminus_real @ A ) )
      = ( ord_less_eq_real @ A @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_78_neg__le__iff__le) ).

thf(280,axiom,
    ! [A: real] :
      ( ( ( uminus_uminus_real @ A )
        = A )
      = ( A = zero_zero_real ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_77_neg__equal__zero) ).

thf(281,axiom,
    ! [A: real] :
      ( ( A
        = ( uminus_uminus_real @ A ) )
      = ( A = zero_zero_real ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_76_equal__neg__zero) ).

thf(282,axiom,
    ! [A: real] :
      ( ( ( uminus_uminus_real @ A )
        = zero_zero_real )
      = ( A = zero_zero_real ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_75_neg__equal__0__iff__equal) ).

thf(283,axiom,
    ! [A: real] :
      ( ( zero_zero_real
        = ( uminus_uminus_real @ A ) )
      = ( zero_zero_real = A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_74_neg__0__equal__iff__equal) ).

thf(284,axiom,
    ( ( uminus_uminus_real @ zero_zero_real )
    = zero_zero_real ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_73_add_Oinverse__neutral) ).

thf(285,axiom,
    ( ( produc394644079real_c @ aa @ ba )
    = ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_72_aaba) ).

thf(286,axiom,
    ! [Nu3: produc190496183real_c,Nu4: produc190496183real_c] :
      ( ( denota1997846518gree_c @ Nu3 @ Nu4 @ ( static_FVF_a_b_c @ p ) )
     => ( ( member1895684704real_c @ Nu3 @ ( denota968303861_a_b_c @ i @ p ) )
        = ( member1895684704real_c @ Nu4 @ ( denota968303861_a_b_c @ i @ p ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_71_sem) ).

thf(287,axiom,
    ! [A: real,B: real,C: real,D: real] :
      ( ( ord_le1342644953l_real @ ( produc705216881l_real @ A @ B ) @ ( produc705216881l_real @ C @ D ) )
      = ( ( ord_less_eq_real @ A @ C )
        & ( ord_less_eq_real @ B @ D ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_70_Pair__le) ).

thf(288,axiom,
    ! [A: finite1398487019real_c,B: finite1398487019real_c,C: finite1398487019real_c,D: finite1398487019real_c] :
      ( ( ord_le850691415real_c @ ( produc394644079real_c @ A @ B ) @ ( produc394644079real_c @ C @ D ) )
      = ( ( ord_le775706699real_c @ A @ C )
        & ( ord_le775706699real_c @ B @ D ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_69_Pair__le) ).

thf(289,axiom,
    ! [X: denota231621370t_unit,Xa: oDE_a_c,Xb: produc190496183real_c,Xc: finite1398487019real_c,Y: produc190496183real_c] :
      ( ( ( denota310462944_a_b_c @ X @ Xa @ Xb @ Xc )
        = Y )
     => ( Y
        = ( produc394644079real_c
          @ ( finite557796307c_real
            @ ^ [I2: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ I2 ) @ ( denota1293057250_a_b_c @ X @ Xa ) ) @ Xc @ ( produc2010422875real_c @ Xb ) ) @ I2 ) )
          @ ( finite557796307c_real
            @ ^ [I2: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ I2 ) @ ( denota1293057250_a_b_c @ X @ Xa ) ) @ ( denota1275485728_a_b_c @ X @ Xa @ Xc ) @ ( produc314122909real_c @ Xb ) ) @ I2 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_68_concrete__v_Oelims) ).

thf(290,axiom,
    ( denota310462944_a_b_c
    = ( ^ [I5: denota231621370t_unit,ODE2: oDE_a_c,Nu: produc190496183real_c,Sol2: finite1398487019real_c] :
          ( produc394644079real_c
          @ ( finite557796307c_real
            @ ^ [I2: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ I2 ) @ ( denota1293057250_a_b_c @ I5 @ ODE2 ) ) @ Sol2 @ ( produc2010422875real_c @ Nu ) ) @ I2 ) )
          @ ( finite557796307c_real
            @ ^ [I2: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ I2 ) @ ( denota1293057250_a_b_c @ I5 @ ODE2 ) ) @ ( denota1275485728_a_b_c @ I5 @ ODE2 @ Sol2 ) @ ( produc314122909real_c @ Nu ) ) @ I2 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_67_concrete__v_Osimps) ).

thf(291,axiom,
    ( ( denota1997846518gree_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) @ ( produc394644079real_c @ ab @ bb ) @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ i @ oDEa ) ) )
    & ( denota1997846518gree_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) @ ( denota1896987029_a_b_c @ i @ oDEa @ ( sol @ x ) ) @ ( denota1293057250_a_b_c @ i @ oDEa ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_66__092_060open_062Vagree_A_Imk__v_AI_AODE_A_Iab_M_Abb_J_A_Isol_Ax_J_J_A_Iab_M_Abb_J_A_I_N_AsemBV_AI_AODE_J_A_092_060and_062_AVagree_A_Imk__v_AI_AODE_A_Iab_M_Abb_J_A_Isol_Ax_J_J_A_Imk__xode_AI_AODE_A_Isol_Ax_J_J_A_IsemBV_AI_AODE_J_092_060close_062) ).

thf(292,axiom,
    ( denota1997846518gree_c
    = ( ^ [Nu: produc190496183real_c,Nu2: produc190496183real_c,V: set_Sum_sum_c_c] :
          ( ! [I2: c] :
              ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ I2 ) @ V )
             => ( ( finite772340578real_c @ ( produc2010422875real_c @ Nu ) @ I2 )
                = ( finite772340578real_c @ ( produc2010422875real_c @ Nu2 ) @ I2 ) ) )
          & ! [I2: c] :
              ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ I2 ) @ V )
             => ( ( finite772340578real_c @ ( produc314122909real_c @ Nu ) @ I2 )
                = ( finite772340578real_c @ ( produc314122909real_c @ Nu2 ) @ I2 ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_65_Vagree__def) ).

thf(293,axiom,
    ( ( denota1997846518gree_c
      @ ( denota161327353_a_b_c @ i @ oDEa
        @ ( produc394644079real_c
          @ ( finite557796307c_real
            @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) )
          @ bb )
        @ ( finite557796307c_real
          @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) ) )
      @ ( produc394644079real_c
        @ ( finite557796307c_real
          @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) )
        @ bb )
      @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ i @ oDEa ) ) )
    & ( denota1997846518gree_c
      @ ( denota161327353_a_b_c @ i @ oDEa
        @ ( produc394644079real_c
          @ ( finite557796307c_real
            @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) )
          @ bb )
        @ ( finite557796307c_real
          @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) ) )
      @ ( denota1896987029_a_b_c @ i @ oDEa
        @ ( finite557796307c_real
          @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) ) )
      @ ( denota1293057250_a_b_c @ i @ oDEa ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_64__092_060open_062Vagree_A_Imk__v_AI_AODE_A_I_092_060chi_062i_O_Aif_Ai_A_092_060in_062_AFVO_AODE_Athen_Asol_A0_A_E_Ai_Aelse_Aab_A_E_Ai_M_Abb_J_A_I_092_060chi_062i_O_Aif_Ai_A_092_060in_062_AFVO_AODE_Athen_Asol_Ax_A_E_Ai_Aelse_Aab_A_E_Ai_J_J_A_I_092_060chi_062i_O_Aif_Ai_A_092_060in_062_AFVO_AODE_Athen_Asol_A0_A_E_Ai_Aelse_Aab_A_E_Ai_M_Abb_J_A_I_N_AsemBV_AI_AODE_J_A_092_060and_062_AVagree_A_Imk__v_AI_AODE_A_I_092_060chi_062i_O_Aif_Ai_A_092_060in_062_AFVO_AODE_Athen_Asol_A0_A_E_Ai_Aelse_Aab_A_E_Ai_M_Abb_J_A_I_092_060chi_062i_O_Aif_Ai_A_092_060in_062_AFVO_AODE_Athen_Asol_Ax_A_E_Ai_Aelse_Aab_A_E_Ai_J_J_A_Imk__xode_AI_AODE_A_I_092_060chi_062i_O_Aif_Ai_A_092_060in_062_AFVO_AODE_Athen_Asol_Ax_A_E_Ai_Aelse_Aab_A_E_Ai_J_J_A_IsemBV_AI_AODE_J_092_060close_062) ).

thf(294,axiom,
    ( denota161327353_a_b_c
    = ( ^ [I5: denota231621370t_unit,ODE2: oDE_a_c,Nu: produc190496183real_c,Sol2: finite1398487019real_c] :
          ( produc394644079real_c
          @ ( finite557796307c_real
            @ ^ [I2: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ I2 ) @ ( denota1293057250_a_b_c @ I5 @ ODE2 ) ) @ Sol2 @ ( produc2010422875real_c @ Nu ) ) @ I2 ) )
          @ ( finite557796307c_real
            @ ^ [I2: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ I2 ) @ ( denota1293057250_a_b_c @ I5 @ ODE2 ) ) @ ( denota1275485728_a_b_c @ I5 @ ODE2 @ Sol2 ) @ ( produc314122909real_c @ Nu ) ) @ I2 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_63_mk__v__concrete) ).

thf(295,axiom,
    ! [Prod: produc190496183real_c] :
      ( Prod
      = ( produc394644079real_c @ ( produc2010422875real_c @ Prod ) @ ( produc314122909real_c @ Prod ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_62_prod_Oexhaust__sel) ).

thf(296,axiom,
    ! [T: produc190496183real_c] :
      ( T
      = ( produc394644079real_c @ ( produc2010422875real_c @ T ) @ ( produc314122909real_c @ T ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_61_surjective__pairing) ).

thf(297,axiom,
    ( zero_z109254132real_c
    = ( finite557796307c_real
      @ ^ [I2: c] : zero_zero_real ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_60_zero__vec__def) ).

thf(298,axiom,
    ! [F: finite1398487019real_c,G: c > real] :
      ( ( ! [I2: c] :
            ( ( finite772340578real_c @ F @ I2 )
            = ( G @ I2 ) ) )
      = ( ( finite557796307c_real @ G )
        = F ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_59_vec__lambda__unique) ).

thf(299,axiom,
    ! [X: finite1398487019real_c] :
      ( ( finite557796307c_real @ ( finite772340578real_c @ X ) )
      = X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_58_vec__nth__inverse) ).

thf(300,axiom,
    ! [P2: produc190496183real_c,Q2: produc190496183real_c] :
      ( ( ( produc2010422875real_c @ P2 )
        = ( produc2010422875real_c @ Q2 ) )
     => ( ( ( produc314122909real_c @ P2 )
          = ( produc314122909real_c @ Q2 ) )
       => ( P2 = Q2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_57_prod__eqI) ).

thf(301,axiom,
    ! [Prod: produc190496183real_c,Prod2: produc190496183real_c] :
      ( ( ( ( produc2010422875real_c @ Prod )
          = ( produc2010422875real_c @ Prod2 ) )
        & ( ( produc314122909real_c @ Prod )
          = ( produc314122909real_c @ Prod2 ) ) )
     => ( Prod = Prod2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_56_prod_Oexpand) ).

thf(302,axiom,
    ( ( ^ [Y5: produc190496183real_c,Z: produc190496183real_c] : ( Y5 = Z ) )
    = ( ^ [S: produc190496183real_c,T2: produc190496183real_c] :
          ( ( ( produc2010422875real_c @ S )
            = ( produc2010422875real_c @ T2 ) )
          & ( ( produc314122909real_c @ S )
            = ( produc314122909real_c @ T2 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_55_prod__eq__iff) ).

thf(303,axiom,
    ! [X: finite1398487019real_c,Y: finite1398487019real_c,A: finite1398487019real_c] :
      ( ( ( produc314122909real_c @ ( produc394644079real_c @ X @ Y ) )
        = A )
     => ( Y = A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_54_snd__eqD) ).

thf(304,axiom,
    ! [X1: finite1398487019real_c,X2: finite1398487019real_c] :
      ( ( produc314122909real_c @ ( produc394644079real_c @ X1 @ X2 ) )
      = X2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_53_snd__conv) ).

thf(305,axiom,
    ! [X: finite1398487019real_c,Y: finite1398487019real_c,A: finite1398487019real_c] :
      ( ( ( produc2010422875real_c @ ( produc394644079real_c @ X @ Y ) )
        = A )
     => ( X = A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_52_fst__eqD) ).

thf(306,axiom,
    ! [X1: finite1398487019real_c,X2: finite1398487019real_c] :
      ( ( produc2010422875real_c @ ( produc394644079real_c @ X1 @ X2 ) )
      = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_51_fst__conv) ).

thf(307,axiom,
    ! [P: c > $o,Q: c > $o] :
      ( ! [X4: c] :
          ( ( P @ X4 )
          = ( Q @ X4 ) )
     => ( ( collect_c @ P )
        = ( collect_c @ Q ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_50_Collect__cong) ).

thf(308,axiom,
    ! [P: finite1398487019real_c > $o,Q: finite1398487019real_c > $o] :
      ( ! [X4: finite1398487019real_c] :
          ( ( P @ X4 )
          = ( Q @ X4 ) )
     => ( ( collec230941376real_c @ P )
        = ( collec230941376real_c @ Q ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_49_Collect__cong) ).

thf(309,axiom,
    ! [A4: set_c] :
      ( ( collect_c
        @ ^ [X3: c] : ( member_c @ X3 @ A4 ) )
      = A4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_48_Collect__mem__eq) ).

thf(310,axiom,
    ! [A4: set_Fi1407883041real_c] :
      ( ( collec230941376real_c
        @ ^ [X3: finite1398487019real_c] : ( member1261661570real_c @ X3 @ A4 ) )
      = A4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_47_Collect__mem__eq) ).

thf(311,axiom,
    ! [A4: set_re2066790124real_c] :
      ( ( collec913357835real_c
        @ ^ [X3: real > finite1398487019real_c] : ( member1321351885real_c @ X3 @ A4 ) )
      = A4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_46_Collect__mem__eq) ).

thf(312,axiom,
    ! [A4: set_Pr1389752855real_c] :
      ( ( collec1643251106real_c
        @ ^ [X3: produc190496183real_c] : ( member1895684704real_c @ X3 @ A4 ) )
      = A4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_45_Collect__mem__eq) ).

thf(313,axiom,
    ! [A4: set_Sum_sum_c_d] :
      ( ( collect_Sum_sum_c_d
        @ ^ [X3: sum_sum_c_d] : ( member_Sum_sum_c_d @ X3 @ A4 ) )
      = A4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_44_Collect__mem__eq) ).

thf(314,axiom,
    ! [A4: set_Sum_sum_c_c] :
      ( ( collect_Sum_sum_c_c
        @ ^ [X3: sum_sum_c_c] : ( member_Sum_sum_c_c @ X3 @ A4 ) )
      = A4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_43_Collect__mem__eq) ).

thf(315,axiom,
    ! [A: c,P: c > $o] :
      ( ( member_c @ A @ ( collect_c @ P ) )
      = ( P @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_42_mem__Collect__eq) ).

thf(316,axiom,
    ! [A: finite1398487019real_c,P: finite1398487019real_c > $o] :
      ( ( member1261661570real_c @ A @ ( collec230941376real_c @ P ) )
      = ( P @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_41_mem__Collect__eq) ).

thf(317,axiom,
    ! [A: real > finite1398487019real_c,P: ( real > finite1398487019real_c ) > $o] :
      ( ( member1321351885real_c @ A @ ( collec913357835real_c @ P ) )
      = ( P @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_40_mem__Collect__eq) ).

thf(318,axiom,
    ! [A: produc190496183real_c,P: produc190496183real_c > $o] :
      ( ( member1895684704real_c @ A @ ( collec1643251106real_c @ P ) )
      = ( P @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_39_mem__Collect__eq) ).

thf(319,axiom,
    ! [A: sum_sum_c_d,P: sum_sum_c_d > $o] :
      ( ( member_Sum_sum_c_d @ A @ ( collect_Sum_sum_c_d @ P ) )
      = ( P @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_38_mem__Collect__eq) ).

thf(320,axiom,
    ! [A: sum_sum_c_c,P: sum_sum_c_c > $o] :
      ( ( member_Sum_sum_c_c @ A @ ( collect_Sum_sum_c_c @ P ) )
      = ( P @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_37_mem__Collect__eq) ).

thf(321,axiom,
    ( zero_z659284464l_real
    = ( produc705216881l_real @ zero_zero_real @ zero_zero_real ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_36_zero__prod__def) ).

thf(322,axiom,
    ( zero_z1506780526real_c
    = ( produc394644079real_c @ zero_z109254132real_c @ zero_z109254132real_c ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_35_zero__prod__def) ).

thf(323,axiom,
    ( ( ^ [Y5: finite1398487019real_c,Z: finite1398487019real_c] : ( Y5 = Z ) )
    = ( ^ [X3: finite1398487019real_c,Y3: finite1398487019real_c] :
        ! [I2: c] :
          ( ( finite772340578real_c @ X3 @ I2 )
          = ( finite772340578real_c @ Y3 @ I2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_34_vec__eq__iff) ).

thf(324,axiom,
    ! [B: $o,X: finite1398487019real_c,Y: finite1398487019real_c,I3: c] :
      ( ( B
       => ( ( finite772340578real_c @ ( if_Fin36944805real_c @ B @ X @ Y ) @ I3 )
          = ( finite772340578real_c @ X @ I3 ) ) )
      & ( ~ B
       => ( ( finite772340578real_c @ ( if_Fin36944805real_c @ B @ X @ Y ) @ I3 )
          = ( finite772340578real_c @ Y @ I3 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_33_cond__component) ).

thf(325,axiom,
    ! [X: finite1398487019real_c,Y: finite1398487019real_c] :
      ( ( ( finite772340578real_c @ X )
        = ( finite772340578real_c @ Y ) )
      = ( X = Y ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_32_vec__nth__inject) ).

thf(326,axiom,
    ! [P2: produc190496183real_c] :
    ? [X4: finite1398487019real_c,Y4: finite1398487019real_c] :
      ( P2
      = ( produc394644079real_c @ X4 @ Y4 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_31_surj__pair) ).

thf(327,axiom,
    ! [P: produc190496183real_c > $o,P2: produc190496183real_c] :
      ( ! [A3: finite1398487019real_c,B3: finite1398487019real_c] : ( P @ ( produc394644079real_c @ A3 @ B3 ) )
     => ( P @ P2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_30_prod__cases) ).

thf(328,axiom,
    ! [A: finite1398487019real_c,B: finite1398487019real_c,A2: finite1398487019real_c,B2: finite1398487019real_c] :
      ( ( ( produc394644079real_c @ A @ B )
        = ( produc394644079real_c @ A2 @ B2 ) )
     => ~ ( ( A = A2 )
         => ( B != B2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_29_Pair__inject) ).

thf(329,axiom,
    ! [Y: produc190496183real_c] :
      ~ ! [A3: finite1398487019real_c,B3: finite1398487019real_c] :
          ( Y
         != ( produc394644079real_c @ A3 @ B3 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_28_old_Oprod_Oexhaust) ).

thf(330,axiom,
    ! [P: produc190496183real_c > $o,Prod: produc190496183real_c] :
      ( ! [A3: finite1398487019real_c,B3: finite1398487019real_c] : ( P @ ( produc394644079real_c @ A3 @ B3 ) )
     => ( P @ Prod ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_27_old_Oprod_Oinducts) ).

thf(331,axiom,
    ( ord_le775706699real_c
    = ( ^ [X3: finite1398487019real_c,Y3: finite1398487019real_c] :
        ! [I2: c] : ( ord_less_eq_real @ ( finite772340578real_c @ X3 @ I2 ) @ ( finite772340578real_c @ Y3 @ I2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_26_less__eq__vec__def) ).

thf(332,axiom,
    ! [I4: c] :
      ( ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ I4 ) @ ( static_BVO_a_c @ oDEa ) )
       => ( ( finite772340578real_c @ ( sol @ zero_zero_real ) @ I4 )
          = ( finite772340578real_c @ ab @ I4 ) ) )
      & ( ( member_Sum_sum_c_d @ ( sum_Inl_c_d @ I4 ) @ ( image_c_Sum_sum_c_d @ sum_Inl_c_d @ ( static_FVO_a_c @ oDEa ) ) )
       => ( ( finite772340578real_c @ ( sol @ zero_zero_real ) @ I4 )
          = ( finite772340578real_c @ ab @ I4 ) ) )
      & ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ I4 ) @ ( static_FVF_a_b_c @ phi ) )
       => ( ( finite772340578real_c @ ( sol @ zero_zero_real ) @ I4 )
          = ( finite772340578real_c @ ab @ I4 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_25_all) ).

thf(333,axiom,
    ord_less_eq_real @ x @ t,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_24_t) ).

thf(334,axiom,
    ! [X1: finite1398487019real_c,X2: finite1398487019real_c,Y1: finite1398487019real_c,Y2: finite1398487019real_c] :
      ( ( ( produc394644079real_c @ X1 @ X2 )
        = ( produc394644079real_c @ Y1 @ Y2 ) )
      = ( ( X1 = Y1 )
        & ( X2 = Y2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_23_prod_Oinject) ).

thf(335,axiom,
    ! [A: finite1398487019real_c,B: finite1398487019real_c,A2: finite1398487019real_c,B2: finite1398487019real_c] :
      ( ( ( produc394644079real_c @ A @ B )
        = ( produc394644079real_c @ A2 @ B2 ) )
      = ( ( A = A2 )
        & ( B = B2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_22_old_Oprod_Oinject) ).

thf(336,axiom,
    fsafe_a_b_c @ p,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_21_hpsafe__Evolve_Ohyps_I2_J) ).

thf(337,axiom,
    osafe_a_c @ ode,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_20_hpsafe__Evolve_Ohyps_I1_J) ).

thf(338,axiom,
    coinci501627771_a_b_c @ p,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_19_hpsafe__Evolve_OIH) ).

thf(339,axiom,
    ! [I3: c] :
      ( ( finite772340578real_c @ zero_z109254132real_c @ I3 )
      = zero_zero_real ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_18_zero__index) ).

thf(340,axiom,
    ( ( produc2010422875real_c @ zero_z1506780526real_c )
    = zero_z109254132real_c ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_17_fst__zero) ).

thf(341,axiom,
    ( ( produc314122909real_c @ zero_z1506780526real_c )
    = zero_z109254132real_c ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_16_snd__zero) ).

thf(342,axiom,
    ! [ODE: oDE_a_c,I: denota231621370t_unit,Sol: real > finite1398487019real_c,T: real,Ab: finite1398487019real_c] :
      ( ( osafe_a_c @ ODE )
     => ( ( denota1275485728_a_b_c @ I @ ODE @ ( Sol @ T ) )
        = ( denota1275485728_a_b_c @ I @ ODE
          @ ( finite557796307c_real
            @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ ODE ) ) @ ( finite772340578real_c @ ( Sol @ T ) @ I2 ) @ ( finite772340578real_c @ Ab @ I2 ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_15_alt__sem__lemma) ).

thf(343,axiom,
    ! [G: c > real,I3: c] :
      ( ( finite772340578real_c @ ( finite557796307c_real @ G ) @ I3 )
      = ( G @ I3 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_14_vec__lambda__beta) ).

thf(344,axiom,
    ! [X: c,Y: c] :
      ( ( sum_Inr_c_c @ X )
     != ( sum_Inl_c_c @ Y ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_13_Inr__Inl__False) ).

thf(345,axiom,
    ! [X: d,Y: c] :
      ( ( sum_Inr_d_c @ X )
     != ( sum_Inl_c_d @ Y ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_12_Inr__Inl__False) ).

thf(346,axiom,
    ! [X: c,Y: c] :
      ( ( sum_Inl_c_c @ X )
     != ( sum_Inr_c_c @ Y ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_11_Inl__Inr__False) ).

thf(347,axiom,
    ! [X: c,Y: d] :
      ( ( sum_Inl_c_d @ X )
     != ( sum_Inr_d_c @ Y ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10_Inl__Inr__False) ).

thf(348,axiom,
    ! [G: finite1398487019real_c] :
      ( ( finite557796307c_real @ ( finite772340578real_c @ G ) )
      = G ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9_vec__lambda__eta) ).

thf(349,axiom,
    ! [X: c,ODE: oDE_a_c] :
      ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ X ) @ ( static_BVO_a_c @ ODE ) )
     => ( member_c @ X @ ( static_FVO_a_c @ ODE ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8_bvo__to__fvo) ).

thf(350,axiom,
    ! [Prod: produc190496183real_c] :
      ( ( produc394644079real_c @ ( produc2010422875real_c @ Prod ) @ ( produc314122909real_c @ Prod ) )
      = Prod ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7_prod_Ocollapse) ).

thf(351,axiom,
    ! [X: real] :
      ( denota1997846518gree_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ X ) )
      @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb )
        @ ( finite557796307c_real
          @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ X ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) ) )
      @ ( static_FVF_a_b_c @ phi ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6_VA) ).

thf(352,axiom,
    ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( denota1293057250_a_b_c @ i @ oDEa ) )
    = ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( denota1293057250_a_b_c @ i @ oDEa ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5__092_060open_062_IInl_Ai_A_092_060in_062_AsemBV_AI_AODE_J_A_061_A_IInr_Ai_A_092_060in_062_AsemBV_AI_AODE_J_092_060close_062) ).

thf(353,axiom,
    fsafe_a_b_c @ phi,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_fsafe) ).

thf(354,axiom,
    ord_less_eq_real @ zero_zero_real @ x,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_x) ).

thf(355,axiom,
    p = phi,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_eqP) ).

thf(356,axiom,
    osafe_a_c @ oDEa,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_osafe) ).

thf(357,axiom,
    ! [X: c,I: denota231621370t_unit,ODE: oDE_a_c] :
      ( ( member_c @ X @ ( denota540094197_a_b_c @ I @ ODE ) )
     => ( member_c @ X @ ( static_FVO_a_c @ ODE ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_ode__to__fvo) ).

thf(358,axiom,
    ( ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
     => ( ( finite772340578real_c @ ( produc314122909real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) ) @ i2 )
        = ( finite772340578real_c @ ( denota1275485728_a_b_c @ i @ oDEa @ ( sol @ x ) ) @ i2 ) ) )
    & ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
     => ( ( finite772340578real_c @ ( produc314122909real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) ) @ i2 )
        = ( finite772340578real_c @ ( denota1275485728_a_b_c @ i @ oDEa @ ( sol @ x ) ) @ i2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_10) ).

thf(359,axiom,
    ( ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
     => ( ( finite772340578real_c @ ( produc2010422875real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) ) @ i2 )
        = ( finite772340578real_c @ ( sol @ x ) @ i2 ) ) )
    & ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
     => ( ( finite772340578real_c @ ( produc2010422875real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) ) @ i2 )
        = ( finite772340578real_c @ ( sol @ x ) @ i2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_9) ).

thf(360,axiom,
    ( ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
     => ( ( finite772340578real_c
          @ ( produc314122909real_c
            @ ( denota161327353_a_b_c @ i @ oDEa
              @ ( produc394644079real_c
                @ ( finite557796307c_real
                  @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) )
                @ bb )
              @ ( finite557796307c_real
                @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) ) ) )
          @ i2 )
        = ( finite772340578real_c
          @ ( denota1275485728_a_b_c @ i @ oDEa
            @ ( finite557796307c_real
              @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) ) )
          @ i2 ) ) )
    & ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
     => ( ( finite772340578real_c
          @ ( produc314122909real_c
            @ ( denota161327353_a_b_c @ i @ oDEa
              @ ( produc394644079real_c
                @ ( finite557796307c_real
                  @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) )
                @ bb )
              @ ( finite557796307c_real
                @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) ) ) )
          @ i2 )
        = ( finite772340578real_c
          @ ( denota1275485728_a_b_c @ i @ oDEa
            @ ( finite557796307c_real
              @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) ) )
          @ i2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_8) ).

thf(361,axiom,
    ( ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
     => ( ( ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
         => ( ( finite772340578real_c
              @ ( produc2010422875real_c
                @ ( denota161327353_a_b_c @ i @ oDEa
                  @ ( produc394644079real_c
                    @ ( finite557796307c_real
                      @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) )
                    @ bb )
                  @ ( finite557796307c_real
                    @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) ) ) )
              @ i2 )
            = ( finite772340578real_c @ ( sol @ x ) @ i2 ) ) )
        & ( ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
         => ( ( finite772340578real_c
              @ ( produc2010422875real_c
                @ ( denota161327353_a_b_c @ i @ oDEa
                  @ ( produc394644079real_c
                    @ ( finite557796307c_real
                      @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) )
                    @ bb )
                  @ ( finite557796307c_real
                    @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) ) ) )
              @ i2 )
            = ( finite772340578real_c @ ab @ i2 ) ) ) ) )
    & ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
     => ( ( ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
         => ( ( finite772340578real_c
              @ ( produc2010422875real_c
                @ ( denota161327353_a_b_c @ i @ oDEa
                  @ ( produc394644079real_c
                    @ ( finite557796307c_real
                      @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) )
                    @ bb )
                  @ ( finite557796307c_real
                    @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) ) ) )
              @ i2 )
            = ( finite772340578real_c @ ( sol @ x ) @ i2 ) ) )
        & ( ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
         => ( ( finite772340578real_c
              @ ( produc2010422875real_c
                @ ( denota161327353_a_b_c @ i @ oDEa
                  @ ( produc394644079real_c
                    @ ( finite557796307c_real
                      @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) )
                    @ bb )
                  @ ( finite557796307c_real
                    @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) ) ) )
              @ i2 )
            = ( finite772340578real_c @ ab @ i2 ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_7) ).

thf(362,axiom,
    ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      & ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) ) )
   => ( ( finite772340578real_c @ ( produc314122909real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) ) @ i2 )
      = ( finite772340578real_c @ bb @ i2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_6) ).

thf(363,axiom,
    ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      & ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) ) )
   => ( ( finite772340578real_c
        @ ( produc314122909real_c
          @ ( denota161327353_a_b_c @ i @ oDEa
            @ ( produc394644079real_c
              @ ( finite557796307c_real
                @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) )
              @ bb )
            @ ( finite557796307c_real
              @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) ) ) )
        @ i2 )
      = ( finite772340578real_c @ bb @ i2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_5) ).

thf(364,axiom,
    ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      & ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) ) )
   => ( ( finite772340578real_c @ ( produc2010422875real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) ) @ i2 )
      = ( finite772340578real_c @ ab @ i2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_4) ).

thf(365,axiom,
    ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      & ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) ) )
   => ( ( ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
       => ( ( finite772340578real_c
            @ ( produc2010422875real_c
              @ ( denota161327353_a_b_c @ i @ oDEa
                @ ( produc394644079real_c
                  @ ( finite557796307c_real
                    @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) )
                  @ bb )
                @ ( finite557796307c_real
                  @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) ) ) )
            @ i2 )
          = ( finite772340578real_c @ ( sol @ zero_zero_real ) @ i2 ) ) )
      & ( ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
       => ( ( finite772340578real_c
            @ ( produc2010422875real_c
              @ ( denota161327353_a_b_c @ i @ oDEa
                @ ( produc394644079real_c
                  @ ( finite557796307c_real
                    @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) )
                  @ bb )
                @ ( finite557796307c_real
                  @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) ) ) )
            @ i2 )
          = ( finite772340578real_c @ ab @ i2 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_3) ).

thf(366,axiom,
    ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_2) ).

thf(367,axiom,
    member_c @ i2 @ ( denota540094197_a_b_c @ i @ oDEa ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).

thf(368,axiom,
    member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( static_FVF_a_b_c @ phi ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

thf(369,conjecture,
    ( ( finite772340578real_c @ ab @ i2 )
    = ( finite772340578real_c @ ( sol @ x ) @ i2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_11) ).

thf(370,negated_conjecture,
    ( ( ( finite772340578real_c @ ab @ i2 )
      = ( finite772340578real_c @ ( sol @ x ) @ i2 ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[369]) ).

thf(371,plain,
    ( ( ( finite772340578real_c @ ab @ i2 )
      = ( finite772340578real_c @ ( sol @ x ) @ i2 ) )
    = $false ),
    inference(unfold_def,[status(thm)],[370]) ).

thf(372,plain,
    ( ( ! [X: finite1398487019real_c,Y: finite1398487019real_c] :
          ( ( if_Fin36944805real_c @ $true @ X @ Y )
          = X ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1]) ).

thf(373,plain,
    ( ( ! [X: finite1398487019real_c,Y: finite1398487019real_c] :
          ( ( if_Fin36944805real_c @ $false @ X @ Y )
          = Y ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(374,plain,
    ( ( ! [P: $o] :
          ( ( P = $true )
          | ( P = $false ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3]) ).

thf(375,plain,
    ( ( ! [X: real,Y: real] :
          ( ( if_real @ $true @ X @ Y )
          = X ) )
    = $true ),
    inference(unfold_def,[status(thm)],[4]) ).

thf(376,plain,
    ( ( ! [X: real,Y: real] :
          ( ( if_real @ $false @ X @ Y )
          = Y ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5]) ).

thf(377,plain,
    ( ( ! [F: real > finite1398487019real_c,A4: set_real,B4: set_Fi1407883041real_c,X: real] :
          ( ( member1321351885real_c @ F
            @ ( pi_rea1111636068real_c @ A4
              @ ^ [Uu: real] : B4 ) )
         => ( ( member_real @ X @ A4 )
           => ( member1261661570real_c @ ( F @ X ) @ B4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[6]) ).

thf(378,plain,
    ( ( ! [F: ( real > finite1398487019real_c ) > real > finite1398487019real_c,A4: set_re2066790124real_c,B4: set_re2066790124real_c,X: real > finite1398487019real_c] :
          ( ( member1851015714real_c @ F
            @ ( pi_rea1386151481real_c @ A4
              @ ^ [Uu: real > finite1398487019real_c] : B4 ) )
         => ( ( member1321351885real_c @ X @ A4 )
           => ( member1321351885real_c @ ( F @ X ) @ B4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7]) ).

thf(379,plain,
    ( ( ! [F: ( real > finite1398487019real_c ) > produc190496183real_c,A4: set_re2066790124real_c,B4: set_Pr1389752855real_c,X: real > finite1398487019real_c] :
          ( ( member954762593real_c @ F
            @ ( pi_rea1379668980real_c @ A4
              @ ^ [Uu: real > finite1398487019real_c] : B4 ) )
         => ( ( member1321351885real_c @ X @ A4 )
           => ( member1895684704real_c @ ( F @ X ) @ B4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[8]) ).

thf(380,plain,
    ( ( ! [F: ( real > finite1398487019real_c ) > sum_sum_c_d,A4: set_re2066790124real_c,B4: set_Sum_sum_c_d,X: real > finite1398487019real_c] :
          ( ( member1494186770um_c_d @ F
            @ ( pi_rea1508591913um_c_d @ A4
              @ ^ [Uu: real > finite1398487019real_c] : B4 ) )
         => ( ( member1321351885real_c @ X @ A4 )
           => ( member_Sum_sum_c_d @ ( F @ X ) @ B4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[9]) ).

thf(381,plain,
    ( ( ! [F: ( real > finite1398487019real_c ) > c,A4: set_re2066790124real_c,B4: set_c,X: real > finite1398487019real_c] :
          ( ( member527957930al_c_c @ F
            @ ( pi_rea1228756413al_c_c @ A4
              @ ^ [Uu: real > finite1398487019real_c] : B4 ) )
         => ( ( member1321351885real_c @ X @ A4 )
           => ( member_c @ ( F @ X ) @ B4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10]) ).

thf(382,plain,
    ( ( ! [F: ( real > finite1398487019real_c ) > sum_sum_c_c,A4: set_re2066790124real_c,B4: set_Sum_sum_c_c,X: real > finite1398487019real_c] :
          ( ( member354622481um_c_c @ F
            @ ( pi_rea1500330408um_c_c @ A4
              @ ^ [Uu: real > finite1398487019real_c] : B4 ) )
         => ( ( member1321351885real_c @ X @ A4 )
           => ( member_Sum_sum_c_c @ ( F @ X ) @ B4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[11]) ).

thf(383,plain,
    ( ( ! [A4: set_Sum_sum_c_d,F: sum_sum_c_d > sum_sum_c_c,B4: set_Sum_sum_c_c] :
          ( ! [X4: sum_sum_c_d] :
              ( ( member_Sum_sum_c_d @ X4 @ A4 )
             => ( member_Sum_sum_c_c @ ( F @ X4 ) @ B4 ) )
         => ( member71251457um_c_c @ F
            @ ( pi_Sum1145067928um_c_c @ A4
              @ ^ [Uu: sum_sum_c_d] : B4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[12]) ).

thf(384,plain,
    ( ( ! [A4: set_c,F: c > real > finite1398487019real_c,B4: set_re2066790124real_c] :
          ( ! [X4: c] :
              ( ( member_c @ X4 @ A4 )
             => ( member1321351885real_c @ ( F @ X4 ) @ B4 ) )
         => ( member469531344real_c @ F
            @ ( pi_c_r41638571real_c @ A4
              @ ^ [Uu: c] : B4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[13]) ).

thf(385,plain,
    ( ( ! [A4: set_Sum_sum_c_c,F: sum_sum_c_c > sum_sum_c_d,B4: set_Sum_sum_c_d] :
          ( ! [X4: sum_sum_c_c] :
              ( ( member_Sum_sum_c_c @ X4 @ A4 )
             => ( member_Sum_sum_c_d @ ( F @ X4 ) @ B4 ) )
         => ( member318754689um_c_d @ F
            @ ( pi_Sum261268376um_c_d @ A4
              @ ^ [Uu: sum_sum_c_c] : B4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[14]) ).

thf(386,plain,
    ( ( ! [A4: set_Sum_sum_c_c,F: sum_sum_c_c > sum_sum_c_c,B4: set_Sum_sum_c_c] :
          ( ! [X4: sum_sum_c_c] :
              ( ( member_Sum_sum_c_c @ X4 @ A4 )
             => ( member_Sum_sum_c_c @ ( F @ X4 ) @ B4 ) )
         => ( member1326674048um_c_c @ F
            @ ( pi_Sum253006871um_c_c @ A4
              @ ^ [Uu: sum_sum_c_c] : B4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[15]) ).

thf(387,plain,
    ( ( ! [A4: set_Sum_sum_c_d,F: sum_sum_c_d > c,B4: set_c] :
          ( ! [X4: sum_sum_c_d] :
              ( ( member_Sum_sum_c_d @ X4 @ A4 )
             => ( member_c @ ( F @ X4 ) @ B4 ) )
         => ( member_Sum_sum_c_d_c @ F
            @ ( pi_Sum_sum_c_d_c @ A4
              @ ^ [Uu: sum_sum_c_d] : B4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[16]) ).

thf(388,plain,
    ( ( ! [A4: set_c,F: c > sum_sum_c_d,B4: set_Sum_sum_c_d] :
          ( ! [X4: c] :
              ( ( member_c @ X4 @ A4 )
             => ( member_Sum_sum_c_d @ ( F @ X4 ) @ B4 ) )
         => ( member_c_Sum_sum_c_d @ F
            @ ( pi_c_Sum_sum_c_d @ A4
              @ ^ [Uu: c] : B4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[17]) ).

thf(389,plain,
    ( ( ! [A4: set_c,F: c > sum_sum_c_c,B4: set_Sum_sum_c_c] :
          ( ! [X4: c] :
              ( ( member_c @ X4 @ A4 )
             => ( member_Sum_sum_c_c @ ( F @ X4 ) @ B4 ) )
         => ( member_c_Sum_sum_c_c @ F
            @ ( pi_c_Sum_sum_c_c @ A4
              @ ^ [Uu: c] : B4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[18]) ).

thf(390,plain,
    ( ( ! [A4: set_Sum_sum_c_c,F: sum_sum_c_c > c,B4: set_c] :
          ( ! [X4: sum_sum_c_c] :
              ( ( member_Sum_sum_c_c @ X4 @ A4 )
             => ( member_c @ ( F @ X4 ) @ B4 ) )
         => ( member_Sum_sum_c_c_c @ F
            @ ( pi_Sum_sum_c_c_c @ A4
              @ ^ [Uu: sum_sum_c_c] : B4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[19]) ).

thf(391,plain,
    ( ( ! [A4: set_real,F: real > finite1398487019real_c,B4: set_Fi1407883041real_c] :
          ( ! [X4: real] :
              ( ( member_real @ X4 @ A4 )
             => ( member1261661570real_c @ ( F @ X4 ) @ B4 ) )
         => ( member1321351885real_c @ F
            @ ( pi_rea1111636068real_c @ A4
              @ ^ [Uu: real] : B4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[20]) ).

thf(392,plain,
    ( ( ! [A4: set_c,F: c > c,B4: set_c] :
          ( ! [X4: c] :
              ( ( member_c @ X4 @ A4 )
             => ( member_c @ ( F @ X4 ) @ B4 ) )
         => ( member_c_c @ F
            @ ( pi_c_c @ A4
              @ ^ [Uu: c] : B4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[21]) ).

thf(393,plain,
    ( ( ! [A4: set_real,F: real > finite1398487019real_c,G: real > finite1398487019real_c,B4: real > set_Fi1407883041real_c] :
          ( ! [W: real] :
              ( ( member_real @ W @ A4 )
             => ( ( F @ W )
                = ( G @ W ) ) )
         => ( ( member1321351885real_c @ F @ ( pi_rea1111636068real_c @ A4 @ B4 ) )
            = ( member1321351885real_c @ G @ ( pi_rea1111636068real_c @ A4 @ B4 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[22]) ).

thf(394,plain,
    ( ( ! [F: sum_sum_c_d > sum_sum_c_c,A4: set_Sum_sum_c_d,B4: sum_sum_c_d > set_Sum_sum_c_c,X: sum_sum_c_d] :
          ( ( member71251457um_c_c @ F @ ( pi_Sum1145067928um_c_c @ A4 @ B4 ) )
         => ( ( member_Sum_sum_c_d @ X @ A4 )
           => ( member_Sum_sum_c_c @ ( F @ X ) @ ( B4 @ X ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[23]) ).

thf(395,plain,
    ( ( ! [F: c > real > finite1398487019real_c,A4: set_c,B4: c > set_re2066790124real_c,X: c] :
          ( ( member469531344real_c @ F @ ( pi_c_r41638571real_c @ A4 @ B4 ) )
         => ( ( member_c @ X @ A4 )
           => ( member1321351885real_c @ ( F @ X ) @ ( B4 @ X ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[24]) ).

thf(396,plain,
    ( ( ! [F: sum_sum_c_c > sum_sum_c_d,A4: set_Sum_sum_c_c,B4: sum_sum_c_c > set_Sum_sum_c_d,X: sum_sum_c_c] :
          ( ( member318754689um_c_d @ F @ ( pi_Sum261268376um_c_d @ A4 @ B4 ) )
         => ( ( member_Sum_sum_c_c @ X @ A4 )
           => ( member_Sum_sum_c_d @ ( F @ X ) @ ( B4 @ X ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[25]) ).

thf(397,plain,
    ( ( ! [F: sum_sum_c_c > sum_sum_c_c,A4: set_Sum_sum_c_c,B4: sum_sum_c_c > set_Sum_sum_c_c,X: sum_sum_c_c] :
          ( ( member1326674048um_c_c @ F @ ( pi_Sum253006871um_c_c @ A4 @ B4 ) )
         => ( ( member_Sum_sum_c_c @ X @ A4 )
           => ( member_Sum_sum_c_c @ ( F @ X ) @ ( B4 @ X ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[26]) ).

thf(398,plain,
    ( ( ! [F: real > finite1398487019real_c,A4: set_real,B4: real > set_Fi1407883041real_c,X: real] :
          ( ( member1321351885real_c @ F @ ( pi_rea1111636068real_c @ A4 @ B4 ) )
         => ( ( member_real @ X @ A4 )
           => ( member1261661570real_c @ ( F @ X ) @ ( B4 @ X ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[27]) ).

thf(399,plain,
    ( ( ! [F: sum_sum_c_d > c,A4: set_Sum_sum_c_d,B4: sum_sum_c_d > set_c,X: sum_sum_c_d] :
          ( ( member_Sum_sum_c_d_c @ F @ ( pi_Sum_sum_c_d_c @ A4 @ B4 ) )
         => ( ( member_Sum_sum_c_d @ X @ A4 )
           => ( member_c @ ( F @ X ) @ ( B4 @ X ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[28]) ).

thf(400,plain,
    ( ( ! [F: c > sum_sum_c_d,A4: set_c,B4: c > set_Sum_sum_c_d,X: c] :
          ( ( member_c_Sum_sum_c_d @ F @ ( pi_c_Sum_sum_c_d @ A4 @ B4 ) )
         => ( ( member_c @ X @ A4 )
           => ( member_Sum_sum_c_d @ ( F @ X ) @ ( B4 @ X ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[29]) ).

thf(401,plain,
    ( ( ! [F: c > sum_sum_c_c,A4: set_c,B4: c > set_Sum_sum_c_c,X: c] :
          ( ( member_c_Sum_sum_c_c @ F @ ( pi_c_Sum_sum_c_c @ A4 @ B4 ) )
         => ( ( member_c @ X @ A4 )
           => ( member_Sum_sum_c_c @ ( F @ X ) @ ( B4 @ X ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[30]) ).

thf(402,plain,
    ( ( ! [F: sum_sum_c_c > c,A4: set_Sum_sum_c_c,B4: sum_sum_c_c > set_c,X: sum_sum_c_c] :
          ( ( member_Sum_sum_c_c_c @ F @ ( pi_Sum_sum_c_c_c @ A4 @ B4 ) )
         => ( ( member_Sum_sum_c_c @ X @ A4 )
           => ( member_c @ ( F @ X ) @ ( B4 @ X ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[31]) ).

thf(403,plain,
    ( ( ! [F: c > c,A4: set_c,B4: c > set_c,X: c] :
          ( ( member_c_c @ F @ ( pi_c_c @ A4 @ B4 ) )
         => ( ( member_c @ X @ A4 )
           => ( member_c @ ( F @ X ) @ ( B4 @ X ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[32]) ).

thf(404,plain,
    ( ( ! [F: real > finite1398487019real_c,I: set_real,X8: real > set_Fi1407883041real_c] :
          ( ( member1321351885real_c @ F @ ( pi_rea1111636068real_c @ I @ X8 ) )
          = ( ! [X3: real] :
                ( ( member_real @ X3 @ I )
               => ( member1261661570real_c @ ( F @ X3 ) @ ( X8 @ X3 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[33]) ).

thf(405,plain,
    ( ( ! [A4: set_Sum_sum_c_d,F: sum_sum_c_d > sum_sum_c_c,B4: sum_sum_c_d > set_Sum_sum_c_c] :
          ( ! [X4: sum_sum_c_d] :
              ( ( member_Sum_sum_c_d @ X4 @ A4 )
             => ( member_Sum_sum_c_c @ ( F @ X4 ) @ ( B4 @ X4 ) ) )
         => ( member71251457um_c_c @ F @ ( pi_Sum1145067928um_c_c @ A4 @ B4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[34]) ).

thf(406,plain,
    ( ( ! [A4: set_c,F: c > real > finite1398487019real_c,B4: c > set_re2066790124real_c] :
          ( ! [X4: c] :
              ( ( member_c @ X4 @ A4 )
             => ( member1321351885real_c @ ( F @ X4 ) @ ( B4 @ X4 ) ) )
         => ( member469531344real_c @ F @ ( pi_c_r41638571real_c @ A4 @ B4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[35]) ).

thf(407,plain,
    ( ( ! [A4: set_Sum_sum_c_c,F: sum_sum_c_c > sum_sum_c_d,B4: sum_sum_c_c > set_Sum_sum_c_d] :
          ( ! [X4: sum_sum_c_c] :
              ( ( member_Sum_sum_c_c @ X4 @ A4 )
             => ( member_Sum_sum_c_d @ ( F @ X4 ) @ ( B4 @ X4 ) ) )
         => ( member318754689um_c_d @ F @ ( pi_Sum261268376um_c_d @ A4 @ B4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[36]) ).

thf(408,plain,
    ( ( ! [A4: set_Sum_sum_c_c,F: sum_sum_c_c > sum_sum_c_c,B4: sum_sum_c_c > set_Sum_sum_c_c] :
          ( ! [X4: sum_sum_c_c] :
              ( ( member_Sum_sum_c_c @ X4 @ A4 )
             => ( member_Sum_sum_c_c @ ( F @ X4 ) @ ( B4 @ X4 ) ) )
         => ( member1326674048um_c_c @ F @ ( pi_Sum253006871um_c_c @ A4 @ B4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[37]) ).

thf(409,plain,
    ( ( ! [A4: set_Sum_sum_c_d,F: sum_sum_c_d > c,B4: sum_sum_c_d > set_c] :
          ( ! [X4: sum_sum_c_d] :
              ( ( member_Sum_sum_c_d @ X4 @ A4 )
             => ( member_c @ ( F @ X4 ) @ ( B4 @ X4 ) ) )
         => ( member_Sum_sum_c_d_c @ F @ ( pi_Sum_sum_c_d_c @ A4 @ B4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[38]) ).

thf(410,plain,
    ( ( ! [A4: set_c,F: c > sum_sum_c_d,B4: c > set_Sum_sum_c_d] :
          ( ! [X4: c] :
              ( ( member_c @ X4 @ A4 )
             => ( member_Sum_sum_c_d @ ( F @ X4 ) @ ( B4 @ X4 ) ) )
         => ( member_c_Sum_sum_c_d @ F @ ( pi_c_Sum_sum_c_d @ A4 @ B4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[39]) ).

thf(411,plain,
    ( ( ! [A4: set_c,F: c > sum_sum_c_c,B4: c > set_Sum_sum_c_c] :
          ( ! [X4: c] :
              ( ( member_c @ X4 @ A4 )
             => ( member_Sum_sum_c_c @ ( F @ X4 ) @ ( B4 @ X4 ) ) )
         => ( member_c_Sum_sum_c_c @ F @ ( pi_c_Sum_sum_c_c @ A4 @ B4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[40]) ).

thf(412,plain,
    ( ( ! [A4: set_Sum_sum_c_c,F: sum_sum_c_c > c,B4: sum_sum_c_c > set_c] :
          ( ! [X4: sum_sum_c_c] :
              ( ( member_Sum_sum_c_c @ X4 @ A4 )
             => ( member_c @ ( F @ X4 ) @ ( B4 @ X4 ) ) )
         => ( member_Sum_sum_c_c_c @ F @ ( pi_Sum_sum_c_c_c @ A4 @ B4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[41]) ).

thf(413,plain,
    ( ( ! [A4: set_real,F: real > finite1398487019real_c,B4: real > set_Fi1407883041real_c] :
          ( ! [X4: real] :
              ( ( member_real @ X4 @ A4 )
             => ( member1261661570real_c @ ( F @ X4 ) @ ( B4 @ X4 ) ) )
         => ( member1321351885real_c @ F @ ( pi_rea1111636068real_c @ A4 @ B4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[42]) ).

thf(414,plain,
    ( ( ! [A4: set_c,F: c > c,B4: c > set_c] :
          ( ! [X4: c] :
              ( ( member_c @ X4 @ A4 )
             => ( member_c @ ( F @ X4 ) @ ( B4 @ X4 ) ) )
         => ( member_c_c @ F @ ( pi_c_c @ A4 @ B4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[43]) ).

thf(415,plain,
    ( ( ! [F: sum_sum_c_c > sum_sum_c_d,A4: set_Sum_sum_c_c,B4: sum_sum_c_c > set_Sum_sum_c_d,X: sum_sum_c_c] :
          ( ( member318754689um_c_d @ F @ ( pi_Sum261268376um_c_d @ A4 @ B4 ) )
         => ( ~ ( member_Sum_sum_c_d @ ( F @ X ) @ ( B4 @ X ) )
           => ~ ( member_Sum_sum_c_c @ X @ A4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[44]) ).

thf(416,plain,
    ( ( ! [F: ( real > finite1398487019real_c ) > c,A4: set_re2066790124real_c,B4: ( real > finite1398487019real_c ) > set_c,X: real > finite1398487019real_c] :
          ( ( member527957930al_c_c @ F @ ( pi_rea1228756413al_c_c @ A4 @ B4 ) )
         => ( ~ ( member_c @ ( F @ X ) @ ( B4 @ X ) )
           => ~ ( member1321351885real_c @ X @ A4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[45]) ).

thf(417,plain,
    ( ( ! [F: sum_sum_c_d > sum_sum_c_c,A4: set_Sum_sum_c_d,B4: sum_sum_c_d > set_Sum_sum_c_c,X: sum_sum_c_d] :
          ( ( member71251457um_c_c @ F @ ( pi_Sum1145067928um_c_c @ A4 @ B4 ) )
         => ( ~ ( member_Sum_sum_c_c @ ( F @ X ) @ ( B4 @ X ) )
           => ~ ( member_Sum_sum_c_d @ X @ A4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[46]) ).

thf(418,plain,
    ( ( ! [F: sum_sum_c_c > sum_sum_c_c,A4: set_Sum_sum_c_c,B4: sum_sum_c_c > set_Sum_sum_c_c,X: sum_sum_c_c] :
          ( ( member1326674048um_c_c @ F @ ( pi_Sum253006871um_c_c @ A4 @ B4 ) )
         => ( ~ ( member_Sum_sum_c_c @ ( F @ X ) @ ( B4 @ X ) )
           => ~ ( member_Sum_sum_c_c @ X @ A4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[47]) ).

thf(419,plain,
    ( ( ! [F: real > finite1398487019real_c,A4: set_real,B4: real > set_Fi1407883041real_c,X: real] :
          ( ( member1321351885real_c @ F @ ( pi_rea1111636068real_c @ A4 @ B4 ) )
         => ( ~ ( member1261661570real_c @ ( F @ X ) @ ( B4 @ X ) )
           => ~ ( member_real @ X @ A4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[48]) ).

thf(420,plain,
    ( ( ! [F: c > sum_sum_c_d,A4: set_c,B4: c > set_Sum_sum_c_d,X: c] :
          ( ( member_c_Sum_sum_c_d @ F @ ( pi_c_Sum_sum_c_d @ A4 @ B4 ) )
         => ( ~ ( member_Sum_sum_c_d @ ( F @ X ) @ ( B4 @ X ) )
           => ~ ( member_c @ X @ A4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[49]) ).

thf(421,plain,
    ( ( ! [F: sum_sum_c_d > c,A4: set_Sum_sum_c_d,B4: sum_sum_c_d > set_c,X: sum_sum_c_d] :
          ( ( member_Sum_sum_c_d_c @ F @ ( pi_Sum_sum_c_d_c @ A4 @ B4 ) )
         => ( ~ ( member_c @ ( F @ X ) @ ( B4 @ X ) )
           => ~ ( member_Sum_sum_c_d @ X @ A4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[50]) ).

thf(422,plain,
    ( ( ! [F: sum_sum_c_c > c,A4: set_Sum_sum_c_c,B4: sum_sum_c_c > set_c,X: sum_sum_c_c] :
          ( ( member_Sum_sum_c_c_c @ F @ ( pi_Sum_sum_c_c_c @ A4 @ B4 ) )
         => ( ~ ( member_c @ ( F @ X ) @ ( B4 @ X ) )
           => ~ ( member_Sum_sum_c_c @ X @ A4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[51]) ).

thf(423,plain,
    ( ( ! [F: c > sum_sum_c_c,A4: set_c,B4: c > set_Sum_sum_c_c,X: c] :
          ( ( member_c_Sum_sum_c_c @ F @ ( pi_c_Sum_sum_c_c @ A4 @ B4 ) )
         => ( ~ ( member_Sum_sum_c_c @ ( F @ X ) @ ( B4 @ X ) )
           => ~ ( member_c @ X @ A4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[52]) ).

thf(424,plain,
    ( ( ! [F: c > c,A4: set_c,B4: c > set_c,X: c] :
          ( ( member_c_c @ F @ ( pi_c_c @ A4 @ B4 ) )
         => ( ~ ( member_c @ ( F @ X ) @ ( B4 @ X ) )
           => ~ ( member_c @ X @ A4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[53]) ).

thf(425,plain,
    ( ( ! [A4: set_Sum_sum_c_d,F: sum_sum_c_d > sum_sum_c_c,B4: sum_sum_c_d > set_Sum_sum_c_c] :
          ( ! [X4: sum_sum_c_d] :
              ( ( member_Sum_sum_c_d @ X4 @ A4 )
             => ( member_Sum_sum_c_c @ ( F @ X4 ) @ ( B4 @ X4 ) ) )
         => ( member71251457um_c_c @ F @ ( pi_Sum1145067928um_c_c @ A4 @ B4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[54]) ).

thf(426,plain,
    ( ( ! [A4: set_c,F: c > real > finite1398487019real_c,B4: c > set_re2066790124real_c] :
          ( ! [X4: c] :
              ( ( member_c @ X4 @ A4 )
             => ( member1321351885real_c @ ( F @ X4 ) @ ( B4 @ X4 ) ) )
         => ( member469531344real_c @ F @ ( pi_c_r41638571real_c @ A4 @ B4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[55]) ).

thf(427,plain,
    ( ( ! [A4: set_Sum_sum_c_c,F: sum_sum_c_c > sum_sum_c_d,B4: sum_sum_c_c > set_Sum_sum_c_d] :
          ( ! [X4: sum_sum_c_c] :
              ( ( member_Sum_sum_c_c @ X4 @ A4 )
             => ( member_Sum_sum_c_d @ ( F @ X4 ) @ ( B4 @ X4 ) ) )
         => ( member318754689um_c_d @ F @ ( pi_Sum261268376um_c_d @ A4 @ B4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[56]) ).

thf(428,plain,
    ( ( ! [A4: set_Sum_sum_c_c,F: sum_sum_c_c > sum_sum_c_c,B4: sum_sum_c_c > set_Sum_sum_c_c] :
          ( ! [X4: sum_sum_c_c] :
              ( ( member_Sum_sum_c_c @ X4 @ A4 )
             => ( member_Sum_sum_c_c @ ( F @ X4 ) @ ( B4 @ X4 ) ) )
         => ( member1326674048um_c_c @ F @ ( pi_Sum253006871um_c_c @ A4 @ B4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[57]) ).

thf(429,plain,
    ( ( ! [A4: set_Sum_sum_c_d,F: sum_sum_c_d > c,B4: sum_sum_c_d > set_c] :
          ( ! [X4: sum_sum_c_d] :
              ( ( member_Sum_sum_c_d @ X4 @ A4 )
             => ( member_c @ ( F @ X4 ) @ ( B4 @ X4 ) ) )
         => ( member_Sum_sum_c_d_c @ F @ ( pi_Sum_sum_c_d_c @ A4 @ B4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[58]) ).

thf(430,plain,
    ( ( ! [A4: set_c,F: c > sum_sum_c_d,B4: c > set_Sum_sum_c_d] :
          ( ! [X4: c] :
              ( ( member_c @ X4 @ A4 )
             => ( member_Sum_sum_c_d @ ( F @ X4 ) @ ( B4 @ X4 ) ) )
         => ( member_c_Sum_sum_c_d @ F @ ( pi_c_Sum_sum_c_d @ A4 @ B4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[59]) ).

thf(431,plain,
    ( ( ! [A4: set_c,F: c > sum_sum_c_c,B4: c > set_Sum_sum_c_c] :
          ( ! [X4: c] :
              ( ( member_c @ X4 @ A4 )
             => ( member_Sum_sum_c_c @ ( F @ X4 ) @ ( B4 @ X4 ) ) )
         => ( member_c_Sum_sum_c_c @ F @ ( pi_c_Sum_sum_c_c @ A4 @ B4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[60]) ).

thf(432,plain,
    ( ( ! [A4: set_Sum_sum_c_c,F: sum_sum_c_c > c,B4: sum_sum_c_c > set_c] :
          ( ! [X4: sum_sum_c_c] :
              ( ( member_Sum_sum_c_c @ X4 @ A4 )
             => ( member_c @ ( F @ X4 ) @ ( B4 @ X4 ) ) )
         => ( member_Sum_sum_c_c_c @ F @ ( pi_Sum_sum_c_c_c @ A4 @ B4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[61]) ).

thf(433,plain,
    ( ( ! [A4: set_real,F: real > finite1398487019real_c,B4: real > set_Fi1407883041real_c] :
          ( ! [X4: real] :
              ( ( member_real @ X4 @ A4 )
             => ( member1261661570real_c @ ( F @ X4 ) @ ( B4 @ X4 ) ) )
         => ( member1321351885real_c @ F @ ( pi_rea1111636068real_c @ A4 @ B4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[62]) ).

thf(434,plain,
    ( ( ! [A4: set_c,F: c > c,B4: c > set_c] :
          ( ! [X4: c] :
              ( ( member_c @ X4 @ A4 )
             => ( member_c @ ( F @ X4 ) @ ( B4 @ X4 ) ) )
         => ( member_c_c @ F @ ( pi_c_c @ A4 @ B4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[63]) ).

thf(435,plain,
    ( ( ! [F2: real > finite1398487019real_c,A4: set_real,B4: set_Fi1407883041real_c] :
          ( ( ord_le1327118209real_c @ ( image_327677598real_c @ F2 @ A4 ) @ B4 )
          = ( member1321351885real_c @ F2
            @ ( pi_rea1111636068real_c @ A4
              @ ^ [Uu: real] : B4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[64]) ).

thf(436,plain,
    ( ( ! [F2: c > sum_sum_c_d,A4: set_c,B4: set_Sum_sum_c_d] :
          ( ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ F2 @ A4 ) @ B4 )
          = ( member_c_Sum_sum_c_d @ F2
            @ ( pi_c_Sum_sum_c_d @ A4
              @ ^ [Uu: c] : B4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[65]) ).

thf(437,plain,
    ( ( ! [F2: c > sum_sum_c_c,A4: set_c,B4: set_Sum_sum_c_c] :
          ( ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ F2 @ A4 ) @ B4 )
          = ( member_c_Sum_sum_c_c @ F2
            @ ( pi_c_Sum_sum_c_c @ A4
              @ ^ [Uu: c] : B4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[66]) ).

thf(438,plain,
    ( ( denotational_repd_c
      = ( ^ [V3: produc190496183real_c,X3: c,R: real] :
            ( produc394644079real_c @ ( produc2010422875real_c @ V3 )
            @ ( finite557796307c_real
              @ ^ [Y3: c] : ( if_real @ ( X3 = Y3 ) @ R @ ( finite772340578real_c @ ( produc314122909real_c @ V3 ) @ Y3 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[67]) ).

thf(439,plain,
    ( ( ! [X: produc190496183real_c,Xa: c,Xb: real,Y: produc190496183real_c] :
          ( ( ( denotational_repd_c @ X @ Xa @ Xb )
            = Y )
         => ( Y
            = ( produc394644079real_c @ ( produc2010422875real_c @ X )
              @ ( finite557796307c_real
                @ ^ [Y3: c] : ( if_real @ ( Xa = Y3 ) @ Xb @ ( finite772340578real_c @ ( produc314122909real_c @ X ) @ Y3 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[68]) ).

thf(440,plain,
    ( ( ! [B4: set_Sum_sum_c_d,F: c > sum_sum_c_d,A4: set_c] :
          ( ( ord_le764260924um_c_d @ B4 @ ( image_c_Sum_sum_c_d @ F @ A4 ) )
          = ( ? [AA: set_c] :
                ( ( ord_less_eq_set_c @ AA @ A4 )
                & ( B4
                  = ( image_c_Sum_sum_c_d @ F @ AA ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[69]) ).

thf(441,plain,
    ( ( ! [B4: set_Sum_sum_c_c,F: c > sum_sum_c_c,A4: set_c] :
          ( ( ord_le1772180283um_c_c @ B4 @ ( image_c_Sum_sum_c_c @ F @ A4 ) )
          = ( ? [AA: set_c] :
                ( ( ord_less_eq_set_c @ AA @ A4 )
                & ( B4
                  = ( image_c_Sum_sum_c_c @ F @ AA ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[70]) ).

thf(442,plain,
    ( ( ! [F: c > sum_sum_c_d,A4: set_c,B4: set_Sum_sum_c_d] :
          ( ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ F @ A4 ) @ B4 )
          = ( ! [X3: c] :
                ( ( member_c @ X3 @ A4 )
               => ( member_Sum_sum_c_d @ ( F @ X3 ) @ B4 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[71]) ).

thf(443,plain,
    ( ( ! [F: c > sum_sum_c_c,A4: set_c,B4: set_Sum_sum_c_c] :
          ( ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ F @ A4 ) @ B4 )
          = ( ! [X3: c] :
                ( ( member_c @ X3 @ A4 )
               => ( member_Sum_sum_c_c @ ( F @ X3 ) @ B4 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[72]) ).

thf(444,plain,
    ( ( ! [B4: set_Sum_sum_c_d,F: c > sum_sum_c_d,A4: set_c] :
          ( ( ord_le764260924um_c_d @ B4 @ ( image_c_Sum_sum_c_d @ F @ A4 ) )
         => ~ ! [C2: set_c] :
                ( ( ord_less_eq_set_c @ C2 @ A4 )
               => ( B4
                 != ( image_c_Sum_sum_c_d @ F @ C2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[73]) ).

thf(445,plain,
    ( ( ! [B4: set_Sum_sum_c_c,F: c > sum_sum_c_c,A4: set_c] :
          ( ( ord_le1772180283um_c_c @ B4 @ ( image_c_Sum_sum_c_c @ F @ A4 ) )
         => ~ ! [C2: set_c] :
                ( ( ord_less_eq_set_c @ C2 @ A4 )
               => ( B4
                 != ( image_c_Sum_sum_c_c @ F @ C2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[74]) ).

thf(446,plain,
    ( ( ! [A4: set_Sum_sum_c_d,F: sum_sum_c_d > sum_sum_c_d,B4: set_Sum_sum_c_d] :
          ( ! [X4: sum_sum_c_d] :
              ( ( member_Sum_sum_c_d @ X4 @ A4 )
             => ( member_Sum_sum_c_d @ ( F @ X4 ) @ B4 ) )
         => ( ord_le764260924um_c_d @ ( image_1567202899um_c_d @ F @ A4 ) @ B4 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[75]) ).

thf(447,plain,
    ( ( ! [A4: set_Sum_sum_c_d,F: sum_sum_c_d > sum_sum_c_c,B4: set_Sum_sum_c_c] :
          ( ! [X4: sum_sum_c_d] :
              ( ( member_Sum_sum_c_d @ X4 @ A4 )
             => ( member_Sum_sum_c_c @ ( F @ X4 ) @ B4 ) )
         => ( ord_le1772180283um_c_c @ ( image_1558941394um_c_c @ F @ A4 ) @ B4 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[76]) ).

thf(448,plain,
    ( ( ! [A4: set_c,F: c > real > finite1398487019real_c,B4: set_re2066790124real_c] :
          ( ! [X4: c] :
              ( ( member_c @ X4 @ A4 )
             => ( member1321351885real_c @ ( F @ X4 ) @ B4 ) )
         => ( ord_le35002188real_c @ ( image_1226855921real_c @ F @ A4 ) @ B4 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[77]) ).

thf(449,plain,
    ( ( ! [A4: set_Sum_sum_c_c,F: sum_sum_c_c > sum_sum_c_d,B4: set_Sum_sum_c_d] :
          ( ! [X4: sum_sum_c_c] :
              ( ( member_Sum_sum_c_c @ X4 @ A4 )
             => ( member_Sum_sum_c_d @ ( F @ X4 ) @ B4 ) )
         => ( ord_le764260924um_c_d @ ( image_675141842um_c_d @ F @ A4 ) @ B4 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[78]) ).

thf(450,plain,
    ( ( ! [A4: set_Sum_sum_c_c,F: sum_sum_c_c > sum_sum_c_c,B4: set_Sum_sum_c_c] :
          ( ! [X4: sum_sum_c_c] :
              ( ( member_Sum_sum_c_c @ X4 @ A4 )
             => ( member_Sum_sum_c_c @ ( F @ X4 ) @ B4 ) )
         => ( ord_le1772180283um_c_c @ ( image_666880337um_c_c @ F @ A4 ) @ B4 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[79]) ).

thf(451,plain,
    ( ( ! [A4: set_Sum_sum_c_d,F: sum_sum_c_d > c,B4: set_c] :
          ( ! [X4: sum_sum_c_d] :
              ( ( member_Sum_sum_c_d @ X4 @ A4 )
             => ( member_c @ ( F @ X4 ) @ B4 ) )
         => ( ord_less_eq_set_c @ ( image_Sum_sum_c_d_c @ F @ A4 ) @ B4 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[80]) ).

thf(452,plain,
    ( ( ! [A4: set_c,F: c > sum_sum_c_d,B4: set_Sum_sum_c_d] :
          ( ! [X4: c] :
              ( ( member_c @ X4 @ A4 )
             => ( member_Sum_sum_c_d @ ( F @ X4 ) @ B4 ) )
         => ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ F @ A4 ) @ B4 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[81]) ).

thf(453,plain,
    ( ( ! [A4: set_c,F: c > sum_sum_c_c,B4: set_Sum_sum_c_c] :
          ( ! [X4: c] :
              ( ( member_c @ X4 @ A4 )
             => ( member_Sum_sum_c_c @ ( F @ X4 ) @ B4 ) )
         => ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ F @ A4 ) @ B4 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[82]) ).

thf(454,plain,
    ( ( ! [A4: set_Sum_sum_c_c,F: sum_sum_c_c > c,B4: set_c] :
          ( ! [X4: sum_sum_c_c] :
              ( ( member_Sum_sum_c_c @ X4 @ A4 )
             => ( member_c @ ( F @ X4 ) @ B4 ) )
         => ( ord_less_eq_set_c @ ( image_Sum_sum_c_c_c @ F @ A4 ) @ B4 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[83]) ).

thf(455,plain,
    ( ( ! [A4: set_c,F: c > c,B4: set_c] :
          ( ! [X4: c] :
              ( ( member_c @ X4 @ A4 )
             => ( member_c @ ( F @ X4 ) @ B4 ) )
         => ( ord_less_eq_set_c @ ( image_c_c @ F @ A4 ) @ B4 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[84]) ).

thf(456,plain,
    ( ( ! [A4: set_c,B4: set_c,F: c > sum_sum_c_d] :
          ( ( ord_less_eq_set_c @ A4 @ B4 )
         => ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ F @ A4 ) @ ( image_c_Sum_sum_c_d @ F @ B4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[85]) ).

thf(457,plain,
    ( ( ! [A4: set_c,B4: set_c,F: c > sum_sum_c_c] :
          ( ( ord_less_eq_set_c @ A4 @ B4 )
         => ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ F @ A4 ) @ ( image_c_Sum_sum_c_c @ F @ B4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[86]) ).

thf(458,plain,
    ( ( uminus1381786404um_c_c
      = ( ^ [A5: set_Sum_sum_c_c] :
            ( collect_Sum_sum_c_c
            @ ( uminus88729697_c_c_o
              @ ^ [X3: sum_sum_c_c] : ( member_Sum_sum_c_c @ X3 @ A5 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[87]) ).

thf(459,plain,
    ( ( uminus_uminus_set_c
      = ( ^ [A5: set_c] :
            ( collect_c
            @ ( uminus_uminus_c_o
              @ ^ [X3: c] : ( member_c @ X3 @ A5 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[88]) ).

thf(460,plain,
    ( ( uminus102402154real_c
      = ( ^ [A5: set_Fi1407883041real_c] :
            ( collec230941376real_c
            @ ( uminus23580315al_c_o
              @ ^ [X3: finite1398487019real_c] : ( member1261661570real_c @ X3 @ A5 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[89]) ).

thf(461,plain,
    ( ( uminus946614837real_c
      = ( ^ [A5: set_re2066790124real_c] :
            ( collec913357835real_c
            @ ( uminus1756072592al_c_o
              @ ^ [X3: real > finite1398487019real_c] : ( member1321351885real_c @ X3 @ A5 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[90]) ).

thf(462,plain,
    ( ( uminus232257166real_c
      = ( ^ [A5: set_Pr1389752855real_c] :
            ( collec1643251106real_c
            @ ( uminus32155087al_c_o
              @ ^ [X3: produc190496183real_c] : ( member1895684704real_c @ X3 @ A5 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[91]) ).

thf(463,plain,
    ( ( uminus373867045um_c_d
      = ( ^ [A5: set_Sum_sum_c_d] :
            ( collect_Sum_sum_c_d
            @ ( uminus916499104_c_d_o
              @ ^ [X3: sum_sum_c_d] : ( member_Sum_sum_c_d @ X3 @ A5 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[92]) ).

thf(464,plain,
    ( ( uminus1381786404um_c_c
      = ( ^ [A5: set_Sum_sum_c_c] :
            ( collect_Sum_sum_c_c
            @ ^ [X3: sum_sum_c_c] :
                ~ ( member_Sum_sum_c_c @ X3 @ A5 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[93]) ).

thf(465,plain,
    ( ( uminus_uminus_set_c
      = ( ^ [A5: set_c] :
            ( collect_c
            @ ^ [X3: c] :
                ~ ( member_c @ X3 @ A5 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[94]) ).

thf(466,plain,
    ( ( uminus102402154real_c
      = ( ^ [A5: set_Fi1407883041real_c] :
            ( collec230941376real_c
            @ ^ [X3: finite1398487019real_c] :
                ~ ( member1261661570real_c @ X3 @ A5 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[95]) ).

thf(467,plain,
    ( ( uminus946614837real_c
      = ( ^ [A5: set_re2066790124real_c] :
            ( collec913357835real_c
            @ ^ [X3: real > finite1398487019real_c] :
                ~ ( member1321351885real_c @ X3 @ A5 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[96]) ).

thf(468,plain,
    ( ( uminus232257166real_c
      = ( ^ [A5: set_Pr1389752855real_c] :
            ( collec1643251106real_c
            @ ^ [X3: produc190496183real_c] :
                ~ ( member1895684704real_c @ X3 @ A5 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[97]) ).

thf(469,plain,
    ( ( uminus373867045um_c_d
      = ( ^ [A5: set_Sum_sum_c_d] :
            ( collect_Sum_sum_c_d
            @ ^ [X3: sum_sum_c_d] :
                ~ ( member_Sum_sum_c_d @ X3 @ A5 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[98]) ).

thf(470,plain,
    ( ( ! [P: sum_sum_c_c > $o] :
          ( ( collect_Sum_sum_c_c
            @ ^ [X3: sum_sum_c_c] :
                ~ ( P @ X3 ) )
          = ( uminus1381786404um_c_c @ ( collect_Sum_sum_c_c @ P ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[99]) ).

thf(471,plain,
    ( ( ! [P: c > $o] :
          ( ( collect_c
            @ ^ [X3: c] :
                ~ ( P @ X3 ) )
          = ( uminus_uminus_set_c @ ( collect_c @ P ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[100]) ).

thf(472,plain,
    ( ( ! [P: finite1398487019real_c > $o] :
          ( ( collec230941376real_c
            @ ^ [X3: finite1398487019real_c] :
                ~ ( P @ X3 ) )
          = ( uminus102402154real_c @ ( collec230941376real_c @ P ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[101]) ).

thf(473,plain,
    ( ( ! [A4: set_c,P: c > $o] :
          ( ord_less_eq_set_c
          @ ( collect_c
            @ ^ [X3: c] :
                ( ( member_c @ X3 @ A4 )
                & ( P @ X3 ) ) )
          @ A4 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[102]) ).

thf(474,plain,
    ( ( ! [A4: set_Fi1407883041real_c,P: finite1398487019real_c > $o] :
          ( ord_le1327118209real_c
          @ ( collec230941376real_c
            @ ^ [X3: finite1398487019real_c] :
                ( ( member1261661570real_c @ X3 @ A4 )
                & ( P @ X3 ) ) )
          @ A4 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[103]) ).

thf(475,plain,
    ( ( ! [A4: set_re2066790124real_c,P: ( real > finite1398487019real_c ) > $o] :
          ( ord_le35002188real_c
          @ ( collec913357835real_c
            @ ^ [X3: real > finite1398487019real_c] :
                ( ( member1321351885real_c @ X3 @ A4 )
                & ( P @ X3 ) ) )
          @ A4 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[104]) ).

thf(476,plain,
    ( ( ! [A4: set_Pr1389752855real_c,P: produc190496183real_c > $o] :
          ( ord_le977353143real_c
          @ ( collec1643251106real_c
            @ ^ [X3: produc190496183real_c] :
                ( ( member1895684704real_c @ X3 @ A4 )
                & ( P @ X3 ) ) )
          @ A4 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[105]) ).

thf(477,plain,
    ( ( ! [A4: set_Sum_sum_c_d,P: sum_sum_c_d > $o] :
          ( ord_le764260924um_c_d
          @ ( collect_Sum_sum_c_d
            @ ^ [X3: sum_sum_c_d] :
                ( ( member_Sum_sum_c_d @ X3 @ A4 )
                & ( P @ X3 ) ) )
          @ A4 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[106]) ).

thf(478,plain,
    ( ( ! [A4: set_Sum_sum_c_c,P: sum_sum_c_c > $o] :
          ( ord_le1772180283um_c_c
          @ ( collect_Sum_sum_c_c
            @ ^ [X3: sum_sum_c_c] :
                ( ( member_Sum_sum_c_c @ X3 @ A4 )
                & ( P @ X3 ) ) )
          @ A4 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[107]) ).

thf(479,plain,
    ( ( ord_le35002188real_c
      = ( ^ [A5: set_re2066790124real_c,B5: set_re2066790124real_c] :
            ( ord_le818951225al_c_o
            @ ^ [X3: real > finite1398487019real_c] : ( member1321351885real_c @ X3 @ A5 )
            @ ^ [X3: real > finite1398487019real_c] : ( member1321351885real_c @ X3 @ B5 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[108]) ).

thf(480,plain,
    ( ( ord_le977353143real_c
      = ( ^ [A5: set_Pr1389752855real_c,B5: set_Pr1389752855real_c] :
            ( ord_le1132241894al_c_o
            @ ^ [X3: produc190496183real_c] : ( member1895684704real_c @ X3 @ A5 )
            @ ^ [X3: produc190496183real_c] : ( member1895684704real_c @ X3 @ B5 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[109]) ).

thf(481,plain,
    ( ( ord_le764260924um_c_d
      = ( ^ [A5: set_Sum_sum_c_d,B5: set_Sum_sum_c_d] :
            ( ord_le2143422793_c_d_o
            @ ^ [X3: sum_sum_c_d] : ( member_Sum_sum_c_d @ X3 @ A5 )
            @ ^ [X3: sum_sum_c_d] : ( member_Sum_sum_c_d @ X3 @ B5 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[110]) ).

thf(482,plain,
    ( ( ord_less_eq_set_c
      = ( ^ [A5: set_c,B5: set_c] :
            ( ord_less_eq_c_o
            @ ^ [X3: c] : ( member_c @ X3 @ A5 )
            @ ^ [X3: c] : ( member_c @ X3 @ B5 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[111]) ).

thf(483,plain,
    ( ( ord_le1772180283um_c_c
      = ( ^ [A5: set_Sum_sum_c_c,B5: set_Sum_sum_c_c] :
            ( ord_le1315653386_c_c_o
            @ ^ [X3: sum_sum_c_c] : ( member_Sum_sum_c_c @ X3 @ A5 )
            @ ^ [X3: sum_sum_c_c] : ( member_Sum_sum_c_c @ X3 @ B5 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[112]) ).

thf(484,plain,
    ( ( ! [F: sum_sum_c_c > sum_sum_c_d,A4: set_Sum_sum_c_c,P: sum_sum_c_d > $o] :
          ( ( collect_Sum_sum_c_d
            @ ^ [X3: sum_sum_c_d] :
                ( ( member_Sum_sum_c_d @ X3 @ ( image_675141842um_c_d @ F @ A4 ) )
                & ( P @ X3 ) ) )
          = ( image_675141842um_c_d @ F
            @ ( collect_Sum_sum_c_c
              @ ^ [X3: sum_sum_c_c] :
                  ( ( member_Sum_sum_c_c @ X3 @ A4 )
                  & ( P @ ( F @ X3 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[113]) ).

thf(485,plain,
    ( ( ! [F: sum_sum_c_d > sum_sum_c_c,A4: set_Sum_sum_c_d,P: sum_sum_c_c > $o] :
          ( ( collect_Sum_sum_c_c
            @ ^ [X3: sum_sum_c_c] :
                ( ( member_Sum_sum_c_c @ X3 @ ( image_1558941394um_c_c @ F @ A4 ) )
                & ( P @ X3 ) ) )
          = ( image_1558941394um_c_c @ F
            @ ( collect_Sum_sum_c_d
              @ ^ [X3: sum_sum_c_d] :
                  ( ( member_Sum_sum_c_d @ X3 @ A4 )
                  & ( P @ ( F @ X3 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[114]) ).

thf(486,plain,
    ( ( ! [F: sum_sum_c_c > sum_sum_c_c,A4: set_Sum_sum_c_c,P: sum_sum_c_c > $o] :
          ( ( collect_Sum_sum_c_c
            @ ^ [X3: sum_sum_c_c] :
                ( ( member_Sum_sum_c_c @ X3 @ ( image_666880337um_c_c @ F @ A4 ) )
                & ( P @ X3 ) ) )
          = ( image_666880337um_c_c @ F
            @ ( collect_Sum_sum_c_c
              @ ^ [X3: sum_sum_c_c] :
                  ( ( member_Sum_sum_c_c @ X3 @ A4 )
                  & ( P @ ( F @ X3 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[115]) ).

thf(487,plain,
    ( ( ! [F: finite1398487019real_c > c,A4: set_Fi1407883041real_c,P: c > $o] :
          ( ( collect_c
            @ ^ [X3: c] :
                ( ( member_c @ X3 @ ( image_1260608398al_c_c @ F @ A4 ) )
                & ( P @ X3 ) ) )
          = ( image_1260608398al_c_c @ F
            @ ( collec230941376real_c
              @ ^ [X3: finite1398487019real_c] :
                  ( ( member1261661570real_c @ X3 @ A4 )
                  & ( P @ ( F @ X3 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[116]) ).

thf(488,plain,
    ( ( ! [F: sum_sum_c_d > c,A4: set_Sum_sum_c_d,P: c > $o] :
          ( ( collect_c
            @ ^ [X3: c] :
                ( ( member_c @ X3 @ ( image_Sum_sum_c_d_c @ F @ A4 ) )
                & ( P @ X3 ) ) )
          = ( image_Sum_sum_c_d_c @ F
            @ ( collect_Sum_sum_c_d
              @ ^ [X3: sum_sum_c_d] :
                  ( ( member_Sum_sum_c_d @ X3 @ A4 )
                  & ( P @ ( F @ X3 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[117]) ).

thf(489,plain,
    ( ( ! [F: sum_sum_c_c > c,A4: set_Sum_sum_c_c,P: c > $o] :
          ( ( collect_c
            @ ^ [X3: c] :
                ( ( member_c @ X3 @ ( image_Sum_sum_c_c_c @ F @ A4 ) )
                & ( P @ X3 ) ) )
          = ( image_Sum_sum_c_c_c @ F
            @ ( collect_Sum_sum_c_c
              @ ^ [X3: sum_sum_c_c] :
                  ( ( member_Sum_sum_c_c @ X3 @ A4 )
                  & ( P @ ( F @ X3 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[118]) ).

thf(490,plain,
    ( ( ! [F: c > finite1398487019real_c,A4: set_c,P: finite1398487019real_c > $o] :
          ( ( collec230941376real_c
            @ ^ [X3: finite1398487019real_c] :
                ( ( member1261661570real_c @ X3 @ ( image_687300774real_c @ F @ A4 ) )
                & ( P @ X3 ) ) )
          = ( image_687300774real_c @ F
            @ ( collect_c
              @ ^ [X3: c] :
                  ( ( member_c @ X3 @ A4 )
                  & ( P @ ( F @ X3 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[119]) ).

thf(491,plain,
    ( ( ! [F: c > sum_sum_c_d,A4: set_c,P: sum_sum_c_d > $o] :
          ( ( collect_Sum_sum_c_d
            @ ^ [X3: sum_sum_c_d] :
                ( ( member_Sum_sum_c_d @ X3 @ ( image_c_Sum_sum_c_d @ F @ A4 ) )
                & ( P @ X3 ) ) )
          = ( image_c_Sum_sum_c_d @ F
            @ ( collect_c
              @ ^ [X3: c] :
                  ( ( member_c @ X3 @ A4 )
                  & ( P @ ( F @ X3 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[120]) ).

thf(492,plain,
    ( ( ! [F: c > sum_sum_c_c,A4: set_c,P: sum_sum_c_c > $o] :
          ( ( collect_Sum_sum_c_c
            @ ^ [X3: sum_sum_c_c] :
                ( ( member_Sum_sum_c_c @ X3 @ ( image_c_Sum_sum_c_c @ F @ A4 ) )
                & ( P @ X3 ) ) )
          = ( image_c_Sum_sum_c_c @ F
            @ ( collect_c
              @ ^ [X3: c] :
                  ( ( member_c @ X3 @ A4 )
                  & ( P @ ( F @ X3 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[121]) ).

thf(493,plain,
    ( ( ! [F: c > c,A4: set_c,P: c > $o] :
          ( ( collect_c
            @ ^ [X3: c] :
                ( ( member_c @ X3 @ ( image_c_c @ F @ A4 ) )
                & ( P @ X3 ) ) )
          = ( image_c_c @ F
            @ ( collect_c
              @ ^ [X3: c] :
                  ( ( member_c @ X3 @ A4 )
                  & ( P @ ( F @ X3 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[122]) ).

thf(494,plain,
    ( ( ! [F: c > sum_sum_c_d,G: c > c,A4: set_c] :
          ( ( image_c_Sum_sum_c_d @ F @ ( image_c_c @ G @ A4 ) )
          = ( image_c_Sum_sum_c_d
            @ ^ [X3: c] : ( F @ ( G @ X3 ) )
            @ A4 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[123]) ).

thf(495,plain,
    ( ( ! [F: c > sum_sum_c_c,G: c > c,A4: set_c] :
          ( ( image_c_Sum_sum_c_c @ F @ ( image_c_c @ G @ A4 ) )
          = ( image_c_Sum_sum_c_c
            @ ^ [X3: c] : ( F @ ( G @ X3 ) )
            @ A4 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[124]) ).

thf(496,plain,
    ( ( ! [F: sum_sum_c_d > sum_sum_c_d,G: c > sum_sum_c_d,A4: set_c] :
          ( ( image_1567202899um_c_d @ F @ ( image_c_Sum_sum_c_d @ G @ A4 ) )
          = ( image_c_Sum_sum_c_d
            @ ^ [X3: c] : ( F @ ( G @ X3 ) )
            @ A4 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[125]) ).

thf(497,plain,
    ( ( ! [F: sum_sum_c_d > sum_sum_c_c,G: c > sum_sum_c_d,A4: set_c] :
          ( ( image_1558941394um_c_c @ F @ ( image_c_Sum_sum_c_d @ G @ A4 ) )
          = ( image_c_Sum_sum_c_c
            @ ^ [X3: c] : ( F @ ( G @ X3 ) )
            @ A4 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[126]) ).

thf(498,plain,
    ( ( ! [F: sum_sum_c_c > sum_sum_c_d,G: c > sum_sum_c_c,A4: set_c] :
          ( ( image_675141842um_c_d @ F @ ( image_c_Sum_sum_c_c @ G @ A4 ) )
          = ( image_c_Sum_sum_c_d
            @ ^ [X3: c] : ( F @ ( G @ X3 ) )
            @ A4 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[127]) ).

thf(499,plain,
    ( ( ! [F: sum_sum_c_c > sum_sum_c_c,G: c > sum_sum_c_c,A4: set_c] :
          ( ( image_666880337um_c_c @ F @ ( image_c_Sum_sum_c_c @ G @ A4 ) )
          = ( image_c_Sum_sum_c_c
            @ ^ [X3: c] : ( F @ ( G @ X3 ) )
            @ A4 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[128]) ).

thf(500,plain,
    ( ( ! [B: sum_sum_c_d,F: sum_sum_c_d > sum_sum_c_d,A4: set_Sum_sum_c_d] :
          ( ( member_Sum_sum_c_d @ B @ ( image_1567202899um_c_d @ F @ A4 ) )
         => ~ ! [X4: sum_sum_c_d] :
                ( ( B
                  = ( F @ X4 ) )
               => ~ ( member_Sum_sum_c_d @ X4 @ A4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[129]) ).

thf(501,plain,
    ( ( ! [B: sum_sum_c_d,F: sum_sum_c_c > sum_sum_c_d,A4: set_Sum_sum_c_c] :
          ( ( member_Sum_sum_c_d @ B @ ( image_675141842um_c_d @ F @ A4 ) )
         => ~ ! [X4: sum_sum_c_c] :
                ( ( B
                  = ( F @ X4 ) )
               => ~ ( member_Sum_sum_c_c @ X4 @ A4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[130]) ).

thf(502,plain,
    ( ( ! [B: c,F: ( real > finite1398487019real_c ) > c,A4: set_re2066790124real_c] :
          ( ( member_c @ B @ ( image_266490115al_c_c @ F @ A4 ) )
         => ~ ! [X4: real > finite1398487019real_c] :
                ( ( B
                  = ( F @ X4 ) )
               => ~ ( member1321351885real_c @ X4 @ A4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[131]) ).

thf(503,plain,
    ( ( ! [B: sum_sum_c_c,F: sum_sum_c_d > sum_sum_c_c,A4: set_Sum_sum_c_d] :
          ( ( member_Sum_sum_c_c @ B @ ( image_1558941394um_c_c @ F @ A4 ) )
         => ~ ! [X4: sum_sum_c_d] :
                ( ( B
                  = ( F @ X4 ) )
               => ~ ( member_Sum_sum_c_d @ X4 @ A4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[132]) ).

thf(504,plain,
    ( ( ! [B: sum_sum_c_c,F: sum_sum_c_c > sum_sum_c_c,A4: set_Sum_sum_c_c] :
          ( ( member_Sum_sum_c_c @ B @ ( image_666880337um_c_c @ F @ A4 ) )
         => ~ ! [X4: sum_sum_c_c] :
                ( ( B
                  = ( F @ X4 ) )
               => ~ ( member_Sum_sum_c_c @ X4 @ A4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[133]) ).

thf(505,plain,
    ( ( ! [B: sum_sum_c_d,F: c > sum_sum_c_d,A4: set_c] :
          ( ( member_Sum_sum_c_d @ B @ ( image_c_Sum_sum_c_d @ F @ A4 ) )
         => ~ ! [X4: c] :
                ( ( B
                  = ( F @ X4 ) )
               => ~ ( member_c @ X4 @ A4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[134]) ).

thf(506,plain,
    ( ( ! [B: c,F: sum_sum_c_d > c,A4: set_Sum_sum_c_d] :
          ( ( member_c @ B @ ( image_Sum_sum_c_d_c @ F @ A4 ) )
         => ~ ! [X4: sum_sum_c_d] :
                ( ( B
                  = ( F @ X4 ) )
               => ~ ( member_Sum_sum_c_d @ X4 @ A4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[135]) ).

thf(507,plain,
    ( ( ! [B: c,F: sum_sum_c_c > c,A4: set_Sum_sum_c_c] :
          ( ( member_c @ B @ ( image_Sum_sum_c_c_c @ F @ A4 ) )
         => ~ ! [X4: sum_sum_c_c] :
                ( ( B
                  = ( F @ X4 ) )
               => ~ ( member_Sum_sum_c_c @ X4 @ A4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[136]) ).

thf(508,plain,
    ( ( ! [B: sum_sum_c_c,F: c > sum_sum_c_c,A4: set_c] :
          ( ( member_Sum_sum_c_c @ B @ ( image_c_Sum_sum_c_c @ F @ A4 ) )
         => ~ ! [X4: c] :
                ( ( B
                  = ( F @ X4 ) )
               => ~ ( member_c @ X4 @ A4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[137]) ).

thf(509,plain,
    ( ( ! [B: c,F: c > c,A4: set_c] :
          ( ( member_c @ B @ ( image_c_c @ F @ A4 ) )
         => ~ ! [X4: c] :
                ( ( B
                  = ( F @ X4 ) )
               => ~ ( member_c @ X4 @ A4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[138]) ).

thf(510,plain,
    ( ( ! [C: sum_sum_c_c,A4: set_Sum_sum_c_c] :
          ( ( member_Sum_sum_c_c @ C @ ( uminus1381786404um_c_c @ A4 ) )
         => ~ ( member_Sum_sum_c_c @ C @ A4 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[139]) ).

thf(511,plain,
    ( ( ! [C: real > finite1398487019real_c,A4: set_re2066790124real_c] :
          ( ( member1321351885real_c @ C @ ( uminus946614837real_c @ A4 ) )
         => ~ ( member1321351885real_c @ C @ A4 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[140]) ).

thf(512,plain,
    ( ( ! [C: produc190496183real_c,A4: set_Pr1389752855real_c] :
          ( ( member1895684704real_c @ C @ ( uminus232257166real_c @ A4 ) )
         => ~ ( member1895684704real_c @ C @ A4 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[141]) ).

thf(513,plain,
    ( ( ! [C: sum_sum_c_d,A4: set_Sum_sum_c_d] :
          ( ( member_Sum_sum_c_d @ C @ ( uminus373867045um_c_d @ A4 ) )
         => ~ ( member_Sum_sum_c_d @ C @ A4 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[142]) ).

thf(514,plain,
    ( ( ! [C: c,A4: set_c] :
          ( ( member_c @ C @ ( uminus_uminus_set_c @ A4 ) )
         => ~ ( member_c @ C @ A4 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[143]) ).

thf(515,plain,
    ( ( ! [A4: set_Sum_sum_c_c] :
          ( ( uminus1381786404um_c_c @ ( uminus1381786404um_c_c @ A4 ) )
          = A4 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[144]) ).

thf(516,plain,
    ( ( ! [A4: set_re2066790124real_c,B4: set_re2066790124real_c,X: real > finite1398487019real_c] :
          ( ( ord_le35002188real_c @ A4 @ B4 )
         => ( ( member1321351885real_c @ X @ A4 )
           => ( member1321351885real_c @ X @ B4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[145]) ).

thf(517,plain,
    ( ( ! [A4: set_Pr1389752855real_c,B4: set_Pr1389752855real_c,X: produc190496183real_c] :
          ( ( ord_le977353143real_c @ A4 @ B4 )
         => ( ( member1895684704real_c @ X @ A4 )
           => ( member1895684704real_c @ X @ B4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[146]) ).

thf(518,plain,
    ( ( ! [A4: set_Sum_sum_c_d,B4: set_Sum_sum_c_d,X: sum_sum_c_d] :
          ( ( ord_le764260924um_c_d @ A4 @ B4 )
         => ( ( member_Sum_sum_c_d @ X @ A4 )
           => ( member_Sum_sum_c_d @ X @ B4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[147]) ).

thf(519,plain,
    ( ( ! [A4: set_c,B4: set_c,X: c] :
          ( ( ord_less_eq_set_c @ A4 @ B4 )
         => ( ( member_c @ X @ A4 )
           => ( member_c @ X @ B4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[148]) ).

thf(520,plain,
    ( ( ! [A4: set_Sum_sum_c_c,B4: set_Sum_sum_c_c,X: sum_sum_c_c] :
          ( ( ord_le1772180283um_c_c @ A4 @ B4 )
         => ( ( member_Sum_sum_c_c @ X @ A4 )
           => ( member_Sum_sum_c_c @ X @ B4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[149]) ).

thf(521,plain,
    ( ( ! [A4: set_re2066790124real_c,B4: set_re2066790124real_c,C: real > finite1398487019real_c] :
          ( ( ord_le35002188real_c @ A4 @ B4 )
         => ( ( member1321351885real_c @ C @ A4 )
           => ( member1321351885real_c @ C @ B4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[150]) ).

thf(522,plain,
    ( ( ! [A4: set_Pr1389752855real_c,B4: set_Pr1389752855real_c,C: produc190496183real_c] :
          ( ( ord_le977353143real_c @ A4 @ B4 )
         => ( ( member1895684704real_c @ C @ A4 )
           => ( member1895684704real_c @ C @ B4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[151]) ).

thf(523,plain,
    ( ( ! [A4: set_Sum_sum_c_d,B4: set_Sum_sum_c_d,C: sum_sum_c_d] :
          ( ( ord_le764260924um_c_d @ A4 @ B4 )
         => ( ( member_Sum_sum_c_d @ C @ A4 )
           => ( member_Sum_sum_c_d @ C @ B4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[152]) ).

thf(524,plain,
    ( ( ! [A4: set_c,B4: set_c,C: c] :
          ( ( ord_less_eq_set_c @ A4 @ B4 )
         => ( ( member_c @ C @ A4 )
           => ( member_c @ C @ B4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[153]) ).

thf(525,plain,
    ( ( ! [A4: set_Sum_sum_c_c,B4: set_Sum_sum_c_c,C: sum_sum_c_c] :
          ( ( ord_le1772180283um_c_c @ A4 @ B4 )
         => ( ( member_Sum_sum_c_c @ C @ A4 )
           => ( member_Sum_sum_c_c @ C @ B4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[154]) ).

thf(526,plain,
    ( ( ord_le35002188real_c
      = ( ^ [A5: set_re2066790124real_c,B5: set_re2066790124real_c] :
          ! [X3: real > finite1398487019real_c] :
            ( ( member1321351885real_c @ X3 @ A5 )
           => ( member1321351885real_c @ X3 @ B5 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[155]) ).

thf(527,plain,
    ( ( ord_le977353143real_c
      = ( ^ [A5: set_Pr1389752855real_c,B5: set_Pr1389752855real_c] :
          ! [X3: produc190496183real_c] :
            ( ( member1895684704real_c @ X3 @ A5 )
           => ( member1895684704real_c @ X3 @ B5 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[156]) ).

thf(528,plain,
    ( ( ord_le764260924um_c_d
      = ( ^ [A5: set_Sum_sum_c_d,B5: set_Sum_sum_c_d] :
          ! [X3: sum_sum_c_d] :
            ( ( member_Sum_sum_c_d @ X3 @ A5 )
           => ( member_Sum_sum_c_d @ X3 @ B5 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[157]) ).

thf(529,plain,
    ( ( ord_less_eq_set_c
      = ( ^ [A5: set_c,B5: set_c] :
          ! [X3: c] :
            ( ( member_c @ X3 @ A5 )
           => ( member_c @ X3 @ B5 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[158]) ).

thf(530,plain,
    ( ( ord_le1772180283um_c_c
      = ( ^ [A5: set_Sum_sum_c_c,B5: set_Sum_sum_c_c] :
          ! [X3: sum_sum_c_c] :
            ( ( member_Sum_sum_c_c @ X3 @ A5 )
           => ( member_Sum_sum_c_c @ X3 @ B5 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[159]) ).

thf(531,plain,
    ( ( ord_le35002188real_c
      = ( ^ [A5: set_re2066790124real_c,B5: set_re2066790124real_c] :
          ! [T2: real > finite1398487019real_c] :
            ( ( member1321351885real_c @ T2 @ A5 )
           => ( member1321351885real_c @ T2 @ B5 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[160]) ).

thf(532,plain,
    ( ( ord_le977353143real_c
      = ( ^ [A5: set_Pr1389752855real_c,B5: set_Pr1389752855real_c] :
          ! [T2: produc190496183real_c] :
            ( ( member1895684704real_c @ T2 @ A5 )
           => ( member1895684704real_c @ T2 @ B5 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[161]) ).

thf(533,plain,
    ( ( ord_le764260924um_c_d
      = ( ^ [A5: set_Sum_sum_c_d,B5: set_Sum_sum_c_d] :
          ! [T2: sum_sum_c_d] :
            ( ( member_Sum_sum_c_d @ T2 @ A5 )
           => ( member_Sum_sum_c_d @ T2 @ B5 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[162]) ).

thf(534,plain,
    ( ( ord_less_eq_set_c
      = ( ^ [A5: set_c,B5: set_c] :
          ! [T2: c] :
            ( ( member_c @ T2 @ A5 )
           => ( member_c @ T2 @ B5 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[163]) ).

thf(535,plain,
    ( ( ord_le1772180283um_c_c
      = ( ^ [A5: set_Sum_sum_c_c,B5: set_Sum_sum_c_c] :
          ! [T2: sum_sum_c_c] :
            ( ( member_Sum_sum_c_c @ T2 @ A5 )
           => ( member_Sum_sum_c_c @ T2 @ B5 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[164]) ).

thf(536,plain,
    ( ( ! [P: c > $o,Q: c > $o] :
          ( ! [X4: c] :
              ( ( P @ X4 )
             => ( Q @ X4 ) )
         => ( ord_less_eq_set_c @ ( collect_c @ P ) @ ( collect_c @ Q ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[165]) ).

thf(537,plain,
    ( ( ! [P: finite1398487019real_c > $o,Q: finite1398487019real_c > $o] :
          ( ! [X4: finite1398487019real_c] :
              ( ( P @ X4 )
             => ( Q @ X4 ) )
         => ( ord_le1327118209real_c @ ( collec230941376real_c @ P ) @ ( collec230941376real_c @ Q ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[166]) ).

thf(538,plain,
    ( ( ! [P: c > $o,Q: c > $o] :
          ( ( ord_less_eq_set_c @ ( collect_c @ P ) @ ( collect_c @ Q ) )
          = ( ! [X3: c] :
                ( ( P @ X3 )
               => ( Q @ X3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[167]) ).

thf(539,plain,
    ( ( ! [P: finite1398487019real_c > $o,Q: finite1398487019real_c > $o] :
          ( ( ord_le1327118209real_c @ ( collec230941376real_c @ P ) @ ( collec230941376real_c @ Q ) )
          = ( ! [X3: finite1398487019real_c] :
                ( ( P @ X3 )
               => ( Q @ X3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[168]) ).

thf(540,plain,
    ( ( ! [X: sum_sum_c_d,A4: set_Sum_sum_c_d,B: sum_sum_c_d,F: sum_sum_c_d > sum_sum_c_d] :
          ( ( member_Sum_sum_c_d @ X @ A4 )
         => ( ( B
              = ( F @ X ) )
           => ( member_Sum_sum_c_d @ B @ ( image_1567202899um_c_d @ F @ A4 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[169]) ).

thf(541,plain,
    ( ( ! [X: sum_sum_c_d,A4: set_Sum_sum_c_d,B: sum_sum_c_c,F: sum_sum_c_d > sum_sum_c_c] :
          ( ( member_Sum_sum_c_d @ X @ A4 )
         => ( ( B
              = ( F @ X ) )
           => ( member_Sum_sum_c_c @ B @ ( image_1558941394um_c_c @ F @ A4 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[170]) ).

thf(542,plain,
    ( ( ! [X: c,A4: set_c,B: real > finite1398487019real_c,F: c > real > finite1398487019real_c] :
          ( ( member_c @ X @ A4 )
         => ( ( B
              = ( F @ X ) )
           => ( member1321351885real_c @ B @ ( image_1226855921real_c @ F @ A4 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[171]) ).

thf(543,plain,
    ( ( ! [X: sum_sum_c_c,A4: set_Sum_sum_c_c,B: sum_sum_c_d,F: sum_sum_c_c > sum_sum_c_d] :
          ( ( member_Sum_sum_c_c @ X @ A4 )
         => ( ( B
              = ( F @ X ) )
           => ( member_Sum_sum_c_d @ B @ ( image_675141842um_c_d @ F @ A4 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[172]) ).

thf(544,plain,
    ( ( ! [X: sum_sum_c_c,A4: set_Sum_sum_c_c,B: sum_sum_c_c,F: sum_sum_c_c > sum_sum_c_c] :
          ( ( member_Sum_sum_c_c @ X @ A4 )
         => ( ( B
              = ( F @ X ) )
           => ( member_Sum_sum_c_c @ B @ ( image_666880337um_c_c @ F @ A4 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[173]) ).

thf(545,plain,
    ( ( ! [X: sum_sum_c_d,A4: set_Sum_sum_c_d,B: c,F: sum_sum_c_d > c] :
          ( ( member_Sum_sum_c_d @ X @ A4 )
         => ( ( B
              = ( F @ X ) )
           => ( member_c @ B @ ( image_Sum_sum_c_d_c @ F @ A4 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[174]) ).

thf(546,plain,
    ( ( ! [X: c,A4: set_c,B: sum_sum_c_d,F: c > sum_sum_c_d] :
          ( ( member_c @ X @ A4 )
         => ( ( B
              = ( F @ X ) )
           => ( member_Sum_sum_c_d @ B @ ( image_c_Sum_sum_c_d @ F @ A4 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[175]) ).

thf(547,plain,
    ( ( ! [X: c,A4: set_c,B: sum_sum_c_c,F: c > sum_sum_c_c] :
          ( ( member_c @ X @ A4 )
         => ( ( B
              = ( F @ X ) )
           => ( member_Sum_sum_c_c @ B @ ( image_c_Sum_sum_c_c @ F @ A4 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[176]) ).

thf(548,plain,
    ( ( ! [X: sum_sum_c_c,A4: set_Sum_sum_c_c,B: c,F: sum_sum_c_c > c] :
          ( ( member_Sum_sum_c_c @ X @ A4 )
         => ( ( B
              = ( F @ X ) )
           => ( member_c @ B @ ( image_Sum_sum_c_c_c @ F @ A4 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[177]) ).

thf(549,plain,
    ( ( ! [X: c,A4: set_c,B: c,F: c > c] :
          ( ( member_c @ X @ A4 )
         => ( ( B
              = ( F @ X ) )
           => ( member_c @ B @ ( image_c_c @ F @ A4 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[178]) ).

thf(550,plain,
    ( ( ! [F: c > sum_sum_c_d,A4: set_c,P: sum_sum_c_d > $o] :
          ( ! [X4: sum_sum_c_d] :
              ( ( member_Sum_sum_c_d @ X4 @ ( image_c_Sum_sum_c_d @ F @ A4 ) )
             => ( P @ X4 ) )
         => ! [X7: c] :
              ( ( member_c @ X7 @ A4 )
             => ( P @ ( F @ X7 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[179]) ).

thf(551,plain,
    ( ( ! [F: c > sum_sum_c_c,A4: set_c,P: sum_sum_c_c > $o] :
          ( ! [X4: sum_sum_c_c] :
              ( ( member_Sum_sum_c_c @ X4 @ ( image_c_Sum_sum_c_c @ F @ A4 ) )
             => ( P @ X4 ) )
         => ! [X7: c] :
              ( ( member_c @ X7 @ A4 )
             => ( P @ ( F @ X7 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[180]) ).

thf(552,plain,
    ( ( ! [M: set_c,N: set_c,F: c > sum_sum_c_d,G: c > sum_sum_c_d] :
          ( ( M = N )
         => ( ! [X4: c] :
                ( ( member_c @ X4 @ N )
               => ( ( F @ X4 )
                  = ( G @ X4 ) ) )
           => ( ( image_c_Sum_sum_c_d @ F @ M )
              = ( image_c_Sum_sum_c_d @ G @ N ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[181]) ).

thf(553,plain,
    ( ( ! [M: set_c,N: set_c,F: c > sum_sum_c_c,G: c > sum_sum_c_c] :
          ( ( M = N )
         => ( ! [X4: c] :
                ( ( member_c @ X4 @ N )
               => ( ( F @ X4 )
                  = ( G @ X4 ) ) )
           => ( ( image_c_Sum_sum_c_c @ F @ M )
              = ( image_c_Sum_sum_c_c @ G @ N ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[182]) ).

thf(554,plain,
    ( ( ! [F: c > sum_sum_c_d,A4: set_c,P: sum_sum_c_d > $o] :
          ( ? [X7: sum_sum_c_d] :
              ( ( member_Sum_sum_c_d @ X7 @ ( image_c_Sum_sum_c_d @ F @ A4 ) )
              & ( P @ X7 ) )
         => ? [X4: c] :
              ( ( member_c @ X4 @ A4 )
              & ( P @ ( F @ X4 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[183]) ).

thf(555,plain,
    ( ( ! [F: c > sum_sum_c_c,A4: set_c,P: sum_sum_c_c > $o] :
          ( ? [X7: sum_sum_c_c] :
              ( ( member_Sum_sum_c_c @ X7 @ ( image_c_Sum_sum_c_c @ F @ A4 ) )
              & ( P @ X7 ) )
         => ? [X4: c] :
              ( ( member_c @ X4 @ A4 )
              & ( P @ ( F @ X4 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[184]) ).

thf(556,plain,
    ( ( ! [Z2: sum_sum_c_d,F: c > sum_sum_c_d,A4: set_c] :
          ( ( member_Sum_sum_c_d @ Z2 @ ( image_c_Sum_sum_c_d @ F @ A4 ) )
          = ( ? [X3: c] :
                ( ( member_c @ X3 @ A4 )
                & ( Z2
                  = ( F @ X3 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[185]) ).

thf(557,plain,
    ( ( ! [Z2: sum_sum_c_c,F: c > sum_sum_c_c,A4: set_c] :
          ( ( member_Sum_sum_c_c @ Z2 @ ( image_c_Sum_sum_c_c @ F @ A4 ) )
          = ( ? [X3: c] :
                ( ( member_c @ X3 @ A4 )
                & ( Z2
                  = ( F @ X3 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[186]) ).

thf(558,plain,
    ( ( ! [X: sum_sum_c_d,A4: set_Sum_sum_c_d,F: sum_sum_c_d > sum_sum_c_d] :
          ( ( member_Sum_sum_c_d @ X @ A4 )
         => ( member_Sum_sum_c_d @ ( F @ X ) @ ( image_1567202899um_c_d @ F @ A4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[187]) ).

thf(559,plain,
    ( ( ! [X: sum_sum_c_d,A4: set_Sum_sum_c_d,F: sum_sum_c_d > sum_sum_c_c] :
          ( ( member_Sum_sum_c_d @ X @ A4 )
         => ( member_Sum_sum_c_c @ ( F @ X ) @ ( image_1558941394um_c_c @ F @ A4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[188]) ).

thf(560,plain,
    ( ( ! [X: c,A4: set_c,F: c > real > finite1398487019real_c] :
          ( ( member_c @ X @ A4 )
         => ( member1321351885real_c @ ( F @ X ) @ ( image_1226855921real_c @ F @ A4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[189]) ).

thf(561,plain,
    ( ( ! [X: sum_sum_c_c,A4: set_Sum_sum_c_c,F: sum_sum_c_c > sum_sum_c_d] :
          ( ( member_Sum_sum_c_c @ X @ A4 )
         => ( member_Sum_sum_c_d @ ( F @ X ) @ ( image_675141842um_c_d @ F @ A4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[190]) ).

thf(562,plain,
    ( ( ! [X: sum_sum_c_c,A4: set_Sum_sum_c_c,F: sum_sum_c_c > sum_sum_c_c] :
          ( ( member_Sum_sum_c_c @ X @ A4 )
         => ( member_Sum_sum_c_c @ ( F @ X ) @ ( image_666880337um_c_c @ F @ A4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[191]) ).

thf(563,plain,
    ( ( ! [X: sum_sum_c_d,A4: set_Sum_sum_c_d,F: sum_sum_c_d > c] :
          ( ( member_Sum_sum_c_d @ X @ A4 )
         => ( member_c @ ( F @ X ) @ ( image_Sum_sum_c_d_c @ F @ A4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[192]) ).

thf(564,plain,
    ( ( ! [X: c,A4: set_c,F: c > sum_sum_c_d] :
          ( ( member_c @ X @ A4 )
         => ( member_Sum_sum_c_d @ ( F @ X ) @ ( image_c_Sum_sum_c_d @ F @ A4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[193]) ).

thf(565,plain,
    ( ( ! [X: c,A4: set_c,F: c > sum_sum_c_c] :
          ( ( member_c @ X @ A4 )
         => ( member_Sum_sum_c_c @ ( F @ X ) @ ( image_c_Sum_sum_c_c @ F @ A4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[194]) ).

thf(566,plain,
    ( ( ! [X: sum_sum_c_c,A4: set_Sum_sum_c_c,F: sum_sum_c_c > c] :
          ( ( member_Sum_sum_c_c @ X @ A4 )
         => ( member_c @ ( F @ X ) @ ( image_Sum_sum_c_c_c @ F @ A4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[195]) ).

thf(567,plain,
    ( ( ! [X: c,A4: set_c,F: c > c] :
          ( ( member_c @ X @ A4 )
         => ( member_c @ ( F @ X ) @ ( image_c_c @ F @ A4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[196]) ).

thf(568,plain,
    ( ( ! [I3: real,L: real,U: real] :
          ( ( member_real @ I3 @ ( set_or656347191t_real @ L @ U ) )
          = ( ( ord_less_eq_real @ L @ I3 )
            & ( ord_less_eq_real @ I3 @ U ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[197]) ).

thf(569,plain,
    ( ( ! [I3: real > finite1398487019real_c,L: real > finite1398487019real_c,U: real > finite1398487019real_c] :
          ( ( member1321351885real_c @ I3 @ ( set_or1308937537real_c @ L @ U ) )
          = ( ( ord_le584953750real_c @ L @ I3 )
            & ( ord_le584953750real_c @ I3 @ U ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[198]) ).

thf(570,plain,
    ( ( ! [I3: produc190496183real_c,L: produc190496183real_c,U: produc190496183real_c] :
          ( ( member1895684704real_c @ I3 @ ( set_or385782508real_c @ L @ U ) )
          = ( ( ord_le850691415real_c @ L @ I3 )
            & ( ord_le850691415real_c @ I3 @ U ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[199]) ).

thf(571,plain,
    ( ( ! [L: real,H: real,L2: real,H2: real] :
          ( ( ( set_or656347191t_real @ L @ H )
            = ( set_or656347191t_real @ L2 @ H2 ) )
          = ( ( ( L = L2 )
              & ( H = H2 ) )
            | ( ~ ( ord_less_eq_real @ L @ H )
              & ~ ( ord_less_eq_real @ L2 @ H2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[200]) ).

thf(572,plain,
    ( ( ! [C: sum_sum_c_c,A4: set_Sum_sum_c_c] :
          ( ~ ( member_Sum_sum_c_c @ C @ A4 )
         => ( member_Sum_sum_c_c @ C @ ( uminus1381786404um_c_c @ A4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[201]) ).

thf(573,plain,
    ( ( ! [C: real > finite1398487019real_c,A4: set_re2066790124real_c] :
          ( ~ ( member1321351885real_c @ C @ A4 )
         => ( member1321351885real_c @ C @ ( uminus946614837real_c @ A4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[202]) ).

thf(574,plain,
    ( ( ! [C: produc190496183real_c,A4: set_Pr1389752855real_c] :
          ( ~ ( member1895684704real_c @ C @ A4 )
         => ( member1895684704real_c @ C @ ( uminus232257166real_c @ A4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[203]) ).

thf(575,plain,
    ( ( ! [C: sum_sum_c_d,A4: set_Sum_sum_c_d] :
          ( ~ ( member_Sum_sum_c_d @ C @ A4 )
         => ( member_Sum_sum_c_d @ C @ ( uminus373867045um_c_d @ A4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[204]) ).

thf(576,plain,
    ( ( ! [C: c,A4: set_c] :
          ( ~ ( member_c @ C @ A4 )
         => ( member_c @ C @ ( uminus_uminus_set_c @ A4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[205]) ).

thf(577,plain,
    ( ( ! [C: sum_sum_c_c,A4: set_Sum_sum_c_c] :
          ( ( member_Sum_sum_c_c @ C @ ( uminus1381786404um_c_c @ A4 ) )
          = ( ~ ( member_Sum_sum_c_c @ C @ A4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[206]) ).

thf(578,plain,
    ( ( ! [C: real > finite1398487019real_c,A4: set_re2066790124real_c] :
          ( ( member1321351885real_c @ C @ ( uminus946614837real_c @ A4 ) )
          = ( ~ ( member1321351885real_c @ C @ A4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[207]) ).

thf(579,plain,
    ( ( ! [C: produc190496183real_c,A4: set_Pr1389752855real_c] :
          ( ( member1895684704real_c @ C @ ( uminus232257166real_c @ A4 ) )
          = ( ~ ( member1895684704real_c @ C @ A4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[208]) ).

thf(580,plain,
    ( ( ! [C: sum_sum_c_d,A4: set_Sum_sum_c_d] :
          ( ( member_Sum_sum_c_d @ C @ ( uminus373867045um_c_d @ A4 ) )
          = ( ~ ( member_Sum_sum_c_d @ C @ A4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[209]) ).

thf(581,plain,
    ( ( ! [C: c,A4: set_c] :
          ( ( member_c @ C @ ( uminus_uminus_set_c @ A4 ) )
          = ( ~ ( member_c @ C @ A4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[210]) ).

thf(582,plain,
    ( ( ! [A4: set_Sum_sum_c_c,B4: set_Sum_sum_c_c] :
          ( ( ( uminus1381786404um_c_c @ A4 )
            = ( uminus1381786404um_c_c @ B4 ) )
          = ( A4 = B4 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[211]) ).

thf(583,plain,
    ( ( ! [A4: set_re2066790124real_c,B4: set_re2066790124real_c] :
          ( ! [X4: real > finite1398487019real_c] :
              ( ( member1321351885real_c @ X4 @ A4 )
             => ( member1321351885real_c @ X4 @ B4 ) )
         => ( ord_le35002188real_c @ A4 @ B4 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[212]) ).

thf(584,plain,
    ( ( ! [A4: set_Pr1389752855real_c,B4: set_Pr1389752855real_c] :
          ( ! [X4: produc190496183real_c] :
              ( ( member1895684704real_c @ X4 @ A4 )
             => ( member1895684704real_c @ X4 @ B4 ) )
         => ( ord_le977353143real_c @ A4 @ B4 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[213]) ).

thf(585,plain,
    ( ( ! [A4: set_Sum_sum_c_d,B4: set_Sum_sum_c_d] :
          ( ! [X4: sum_sum_c_d] :
              ( ( member_Sum_sum_c_d @ X4 @ A4 )
             => ( member_Sum_sum_c_d @ X4 @ B4 ) )
         => ( ord_le764260924um_c_d @ A4 @ B4 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[214]) ).

thf(586,plain,
    ( ( ! [A4: set_c,B4: set_c] :
          ( ! [X4: c] :
              ( ( member_c @ X4 @ A4 )
             => ( member_c @ X4 @ B4 ) )
         => ( ord_less_eq_set_c @ A4 @ B4 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[215]) ).

thf(587,plain,
    ( ( ! [A4: set_Sum_sum_c_c,B4: set_Sum_sum_c_c] :
          ( ! [X4: sum_sum_c_c] :
              ( ( member_Sum_sum_c_c @ X4 @ A4 )
             => ( member_Sum_sum_c_c @ X4 @ B4 ) )
         => ( ord_le1772180283um_c_c @ A4 @ B4 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[216]) ).

thf(588,plain,
    ( ( ! [B: sum_sum_c_d,F: sum_sum_c_d > sum_sum_c_d,X: sum_sum_c_d,A4: set_Sum_sum_c_d] :
          ( ( B
            = ( F @ X ) )
         => ( ( member_Sum_sum_c_d @ X @ A4 )
           => ( member_Sum_sum_c_d @ B @ ( image_1567202899um_c_d @ F @ A4 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[217]) ).

thf(589,plain,
    ( ( ! [B: sum_sum_c_c,F: sum_sum_c_d > sum_sum_c_c,X: sum_sum_c_d,A4: set_Sum_sum_c_d] :
          ( ( B
            = ( F @ X ) )
         => ( ( member_Sum_sum_c_d @ X @ A4 )
           => ( member_Sum_sum_c_c @ B @ ( image_1558941394um_c_c @ F @ A4 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[218]) ).

thf(590,plain,
    ( ( ! [B: real > finite1398487019real_c,F: c > real > finite1398487019real_c,X: c,A4: set_c] :
          ( ( B
            = ( F @ X ) )
         => ( ( member_c @ X @ A4 )
           => ( member1321351885real_c @ B @ ( image_1226855921real_c @ F @ A4 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[219]) ).

thf(591,plain,
    ( ( ! [B: sum_sum_c_d,F: sum_sum_c_c > sum_sum_c_d,X: sum_sum_c_c,A4: set_Sum_sum_c_c] :
          ( ( B
            = ( F @ X ) )
         => ( ( member_Sum_sum_c_c @ X @ A4 )
           => ( member_Sum_sum_c_d @ B @ ( image_675141842um_c_d @ F @ A4 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[220]) ).

thf(592,plain,
    ( ( ! [B: sum_sum_c_c,F: sum_sum_c_c > sum_sum_c_c,X: sum_sum_c_c,A4: set_Sum_sum_c_c] :
          ( ( B
            = ( F @ X ) )
         => ( ( member_Sum_sum_c_c @ X @ A4 )
           => ( member_Sum_sum_c_c @ B @ ( image_666880337um_c_c @ F @ A4 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[221]) ).

thf(593,plain,
    ( ( ! [B: c,F: sum_sum_c_d > c,X: sum_sum_c_d,A4: set_Sum_sum_c_d] :
          ( ( B
            = ( F @ X ) )
         => ( ( member_Sum_sum_c_d @ X @ A4 )
           => ( member_c @ B @ ( image_Sum_sum_c_d_c @ F @ A4 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[222]) ).

thf(594,plain,
    ( ( ! [B: sum_sum_c_d,F: c > sum_sum_c_d,X: c,A4: set_c] :
          ( ( B
            = ( F @ X ) )
         => ( ( member_c @ X @ A4 )
           => ( member_Sum_sum_c_d @ B @ ( image_c_Sum_sum_c_d @ F @ A4 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[223]) ).

thf(595,plain,
    ( ( ! [B: sum_sum_c_c,F: c > sum_sum_c_c,X: c,A4: set_c] :
          ( ( B
            = ( F @ X ) )
         => ( ( member_c @ X @ A4 )
           => ( member_Sum_sum_c_c @ B @ ( image_c_Sum_sum_c_c @ F @ A4 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[224]) ).

thf(596,plain,
    ( ( ! [B: c,F: sum_sum_c_c > c,X: sum_sum_c_c,A4: set_Sum_sum_c_c] :
          ( ( B
            = ( F @ X ) )
         => ( ( member_Sum_sum_c_c @ X @ A4 )
           => ( member_c @ B @ ( image_Sum_sum_c_c_c @ F @ A4 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[225]) ).

thf(597,plain,
    ( ( ! [B: c,F: c > c,X: c,A4: set_c] :
          ( ( B
            = ( F @ X ) )
         => ( ( member_c @ X @ A4 )
           => ( member_c @ B @ ( image_c_c @ F @ A4 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[226]) ).

thf(598,plain,
    ( ( ! [A4: set_Sum_sum_c_c,B4: set_Sum_sum_c_c] :
          ( ( ord_le1772180283um_c_c @ A4 @ B4 )
         => ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ B4 ) @ ( uminus1381786404um_c_c @ A4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[227]) ).

thf(599,plain,
    ( ( ! [A4: set_Sum_sum_c_c,B4: set_Sum_sum_c_c] :
          ( ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ A4 ) @ ( uminus1381786404um_c_c @ B4 ) )
          = ( ord_le1772180283um_c_c @ B4 @ A4 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[228]) ).

thf(600,plain,
    ( ( ! [A: real,B: real,C: real,D: real] :
          ( ( ord_less_eq_set_real @ ( set_or656347191t_real @ A @ B ) @ ( set_or656347191t_real @ C @ D ) )
          = ( ~ ( ord_less_eq_real @ A @ B )
            | ( ( ord_less_eq_real @ C @ A )
              & ( ord_less_eq_real @ B @ D ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[229]) ).

thf(601,plain,
    ( ( ! [X: real,Y: real] :
          ( ( image_real_real @ uminus_uminus_real @ ( set_or656347191t_real @ X @ Y ) )
          = ( set_or656347191t_real @ ( uminus_uminus_real @ Y ) @ ( uminus_uminus_real @ X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[230]) ).

thf(602,plain,
    ( ( ! [Y: set_Sum_sum_c_c,X: set_Sum_sum_c_c] :
          ( ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ Y ) @ X )
         => ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ X ) @ Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[231]) ).

thf(603,plain,
    ( ( ! [Y: set_Sum_sum_c_c,X: set_Sum_sum_c_c] :
          ( ( ord_le1772180283um_c_c @ Y @ ( uminus1381786404um_c_c @ X ) )
         => ( ord_le1772180283um_c_c @ X @ ( uminus1381786404um_c_c @ Y ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[232]) ).

thf(604,plain,
    ( ( ! [X: set_Sum_sum_c_c,Y: set_Sum_sum_c_c] :
          ( ( ord_le1772180283um_c_c @ X @ Y )
         => ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ Y ) @ ( uminus1381786404um_c_c @ X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[233]) ).

thf(605,plain,
    ( ( denota256060419gree_c
      = ( ^ [Nu: finite1398487019real_c,Nu2: finite1398487019real_c,V: set_c] :
          ! [X3: c] :
            ( ( member_c @ X3 @ V )
           => ( ( finite772340578real_c @ Nu @ X3 )
              = ( finite772340578real_c @ Nu2 @ X3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[234]) ).

thf(606,plain,
    ( ( ! [Nu3: finite1398487019real_c,A4: set_c] : ( denota256060419gree_c @ Nu3 @ Nu3 @ A4 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[235]) ).

thf(607,plain,
    ( ( ! [B4: set_c,A4: set_c,Nu3: finite1398487019real_c,Nu4: finite1398487019real_c] :
          ( ( ord_less_eq_set_c @ B4 @ A4 )
         => ( ( denota256060419gree_c @ Nu3 @ Nu4 @ A4 )
           => ( denota256060419gree_c @ Nu3 @ Nu4 @ B4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[236]) ).

thf(608,plain,
    ( ( ! [A4: set_c,B4: set_c,Nu3: finite1398487019real_c,Omega: finite1398487019real_c] :
          ( ( ord_less_eq_set_c @ A4 @ B4 )
         => ( ( denota256060419gree_c @ Nu3 @ Omega @ B4 )
           => ( denota256060419gree_c @ Nu3 @ Omega @ A4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[237]) ).

thf(609,plain,
    ( ( ! [X: set_Sum_sum_c_c,Y: set_Sum_sum_c_c] :
          ( ( ( uminus1381786404um_c_c @ X )
            = ( uminus1381786404um_c_c @ Y ) )
          = ( X = Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[238]) ).

thf(610,plain,
    ( ( ! [X: set_Sum_sum_c_c] :
          ( ( uminus1381786404um_c_c @ ( uminus1381786404um_c_c @ X ) )
          = X ) )
    = $true ),
    inference(unfold_def,[status(thm)],[239]) ).

thf(611,plain,
    ( ( ! [Nu3: produc190496183real_c,I: denota231621370t_unit,A4: formula_a_b_c,B4: formula_a_b_c] :
          ( ( member1895684704real_c @ Nu3 @ ( denota968303861_a_b_c @ I @ ( equiv_a_b_c @ A4 @ B4 ) ) )
          = ( ( member1895684704real_c @ Nu3 @ ( denota968303861_a_b_c @ I @ A4 ) )
            = ( member1895684704real_c @ Nu3 @ ( denota968303861_a_b_c @ I @ B4 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[240]) ).

thf(612,plain,
    ( ( ! [X: set_Sum_sum_c_c,Y: set_Sum_sum_c_c] :
          ( ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ X ) @ ( uminus1381786404um_c_c @ Y ) )
          = ( ord_le1772180283um_c_c @ Y @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[241]) ).

thf(613,plain,
    ( ( member1321351885real_c @ sol
      @ ( pi_rea1111636068real_c @ ( set_or656347191t_real @ zero_zero_real @ t )
        @ ^ [Uu: real] :
            ( collec230941376real_c
            @ ^ [X3: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ X3 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[242]) ).

thf(614,plain,
    ( ( ( osafe_a_c @ oDEa )
     => ( ( fsafe_a_b_c @ phi )
       => ( ( ode = oDEa )
         => ( ( p = phi )
           => ( ( ord_less_eq_real @ zero_zero_real @ t )
             => ( ( ( produc394644079real_c @ aa @ ba )
                  = ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
               => ( ( initia1631504802real_c @ sol
                    @ ^ [X6: real] : ( denota1275485728_a_b_c @ i @ oDEa )
                    @ ( set_or656347191t_real @ zero_zero_real @ t )
                    @ ( collec230941376real_c
                      @ ^ [X3: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ X3 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) )
                 => ( ( denota256060419gree_c @ ( sol @ zero_zero_real ) @ ab
                      @ ( collect_c
                        @ ^ [Uu: c] :
                            ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ Uu ) @ ( static_BVO_a_c @ oDEa ) )
                            | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ Uu ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( static_FVO_a_c @ oDEa ) ) )
                            | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ Uu ) @ ( static_FVF_a_b_c @ phi ) ) ) ) )
                   => ( ord_less_eq_real @ zero_zero_real @ t ) ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[243]) ).

thf(615,plain,
    ( ( ( osafe_a_c @ oDEa )
     => ( ( fsafe_a_b_c @ phi )
       => ( ( ode = oDEa )
         => ( ( p = phi )
           => ( ( ord_less_eq_real @ zero_zero_real @ t )
             => ( ( ( produc394644079real_c @ aa @ ba )
                  = ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
               => ( ( initia1631504802real_c @ sol
                    @ ^ [X6: real] : ( denota1275485728_a_b_c @ i @ oDEa )
                    @ ( set_or656347191t_real @ zero_zero_real @ t )
                    @ ( collec230941376real_c
                      @ ^ [X3: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ X3 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) )
                 => ( ( denota256060419gree_c @ ( sol @ zero_zero_real ) @ ab
                      @ ( collect_c
                        @ ^ [Uu: c] :
                            ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ Uu ) @ ( static_BVO_a_c @ oDEa ) )
                            | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ Uu ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( static_FVO_a_c @ oDEa ) ) )
                            | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ Uu ) @ ( static_FVF_a_b_c @ phi ) ) ) ) )
                   => ( ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) )
                      = ( denota161327353_a_b_c @ i @ oDEa
                        @ ( produc394644079real_c
                          @ ( finite557796307c_real
                            @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) )
                          @ bb )
                        @ ( finite557796307c_real
                          @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ t ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) ) ) ) ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[244]) ).

thf(616,plain,
    ( ( ( osafe_a_c @ oDEa )
     => ( ( fsafe_a_b_c @ phi )
       => ( ( ode = oDEa )
         => ( ( p = phi )
           => ( ( ord_less_eq_real @ zero_zero_real @ t )
             => ( ( ( produc394644079real_c @ aa @ ba )
                  = ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
               => ( ( initia1631504802real_c @ sol
                    @ ^ [X6: real] : ( denota1275485728_a_b_c @ i @ oDEa )
                    @ ( set_or656347191t_real @ zero_zero_real @ t )
                    @ ( collec230941376real_c
                      @ ^ [X3: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ X3 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) )
                 => ( ( denota256060419gree_c @ ( sol @ zero_zero_real ) @ ab
                      @ ( collect_c
                        @ ^ [Uu: c] :
                            ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ Uu ) @ ( static_BVO_a_c @ oDEa ) )
                            | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ Uu ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( static_FVO_a_c @ oDEa ) ) )
                            | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ Uu ) @ ( static_FVF_a_b_c @ phi ) ) ) ) )
                   => ( ab
                      = ( finite557796307c_real
                        @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) ) ) ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[245]) ).

thf(617,plain,
    ( ( ! [X: c,I: denota231621370t_unit,ODE: oDE_a_c] :
          ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ X ) @ ( denota1293057250_a_b_c @ I @ ODE ) )
          = ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ X ) @ ( denota1293057250_a_b_c @ I @ ODE ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[246]) ).

thf(618,plain,
    ( ( ord_le1342644953l_real
      = ( ^ [X3: produc957004601l_real,Y3: produc957004601l_real] :
            ( ( ord_less_eq_real @ ( produc1422991709l_real @ X3 ) @ ( produc1422991709l_real @ Y3 ) )
            & ( ord_less_eq_real @ ( produc1407670175l_real @ X3 ) @ ( produc1407670175l_real @ Y3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[247]) ).

thf(619,plain,
    ( ( ord_le850691415real_c
      = ( ^ [X3: produc190496183real_c,Y3: produc190496183real_c] :
            ( ( ord_le775706699real_c @ ( produc2010422875real_c @ X3 ) @ ( produc2010422875real_c @ Y3 ) )
            & ( ord_le775706699real_c @ ( produc314122909real_c @ X3 ) @ ( produc314122909real_c @ Y3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[248]) ).

thf(620,plain,
    ( ( ! [X: produc190496183real_c,Y: produc190496183real_c] :
          ( ( ord_le850691415real_c @ X @ Y )
         => ( ord_le775706699real_c @ ( produc314122909real_c @ X ) @ ( produc314122909real_c @ Y ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[249]) ).

thf(621,plain,
    ( ( ! [X: produc190496183real_c,Y: produc190496183real_c] :
          ( ( ord_le850691415real_c @ X @ Y )
         => ( ord_le775706699real_c @ ( produc2010422875real_c @ X ) @ ( produc2010422875real_c @ Y ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[250]) ).

thf(622,plain,
    ( ( ! [X: real,X5: real,Y: real,Y6: real] :
          ( ( ord_less_eq_real @ X @ X5 )
         => ( ( ord_less_eq_real @ Y @ Y6 )
           => ( ord_le1342644953l_real @ ( produc705216881l_real @ X @ Y ) @ ( produc705216881l_real @ X5 @ Y6 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[251]) ).

thf(623,plain,
    ( ( ! [X: finite1398487019real_c,X5: finite1398487019real_c,Y: finite1398487019real_c,Y6: finite1398487019real_c] :
          ( ( ord_le775706699real_c @ X @ X5 )
         => ( ( ord_le775706699real_c @ Y @ Y6 )
           => ( ord_le850691415real_c @ ( produc394644079real_c @ X @ Y ) @ ( produc394644079real_c @ X5 @ Y6 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[252]) ).

thf(624,plain,
    ( ( ! [A4: produc190496183real_c,B4: produc190496183real_c,V2: set_Sum_sum_c_c] :
          ( ( denota1997846518gree_c @ A4 @ B4 @ V2 )
         => ( denota1997846518gree_c @ B4 @ A4 @ V2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[253]) ).

thf(625,plain,
    ( ( ! [Nu3: produc190496183real_c,A4: set_Sum_sum_c_c] : ( denota1997846518gree_c @ Nu3 @ Nu3 @ A4 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[254]) ).

thf(626,plain,
    ( ( ! [X: real] :
          ( ( zero_zero_real = X )
          = ( X = zero_zero_real ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[255]) ).

thf(627,plain,
    ( ( denota1896987029_a_b_c
      = ( ^ [I5: denota231621370t_unit,ODE2: oDE_a_c,Sol2: finite1398487019real_c] : ( produc394644079real_c @ Sol2 @ ( denota1275485728_a_b_c @ I5 @ ODE2 @ Sol2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[256]) ).

thf(628,plain,
    ( ( ! [X: denota231621370t_unit,Xa: oDE_a_c,Xb: finite1398487019real_c,Y: produc190496183real_c] :
          ( ( ( denota1896987029_a_b_c @ X @ Xa @ Xb )
            = Y )
         => ( Y
            = ( produc394644079real_c @ Xb @ ( denota1275485728_a_b_c @ X @ Xa @ Xb ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[257]) ).

thf(629,plain,
    ( ( ! [I: denota231621370t_unit,ODE: oDE_a_c,Nu3: produc190496183real_c,Sol: finite1398487019real_c] :
          ( ( denota1997846518gree_c @ ( denota161327353_a_b_c @ I @ ODE @ Nu3 @ Sol ) @ Nu3 @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ I @ ODE ) ) )
          & ( denota1997846518gree_c @ ( denota161327353_a_b_c @ I @ ODE @ Nu3 @ Sol ) @ ( denota1896987029_a_b_c @ I @ ODE @ Sol ) @ ( denota1293057250_a_b_c @ I @ ODE ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[258]) ).

thf(630,plain,
    ( ( uminus1225118734um_c_c
      = ( ^ [X3: produc214722967um_c_c] : ( produc1439061071um_c_c @ ( uminus1381786404um_c_c @ ( produc1983230011um_c_c @ X3 ) ) @ ( uminus1381786404um_c_c @ ( produc1132019837um_c_c @ X3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[259]) ).

thf(631,plain,
    ( ( uminus17964590real_c
      = ( ^ [X3: produc190496183real_c] : ( produc394644079real_c @ ( uminus1737280820real_c @ ( produc2010422875real_c @ X3 ) ) @ ( uminus1737280820real_c @ ( produc314122909real_c @ X3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[260]) ).

thf(632,plain,
    ( ( uminus1737280820real_c
      = ( ^ [X3: finite1398487019real_c] :
            ( finite557796307c_real
            @ ^ [I2: c] : ( uminus_uminus_real @ ( finite772340578real_c @ X3 @ I2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[261]) ).

thf(633,plain,
    ( ( ! [Nu3: produc190496183real_c,I: denota231621370t_unit,ODE: oDE_a_c,Sol: finite1398487019real_c] :
        ? [Omega2: produc190496183real_c] :
          ( ( denota1997846518gree_c @ Omega2 @ Nu3 @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ I @ ODE ) ) )
          & ( denota1997846518gree_c @ Omega2 @ ( denota1896987029_a_b_c @ I @ ODE @ Sol ) @ ( denota1293057250_a_b_c @ I @ ODE ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[262]) ).

thf(634,plain,
    ( ( ! [A4: set_Sum_sum_c_c,B4: set_Sum_sum_c_c,Nu3: produc190496183real_c,Omega: produc190496183real_c] :
          ( ( ord_le1772180283um_c_c @ A4 @ B4 )
         => ( ( denota1997846518gree_c @ Nu3 @ Omega @ B4 )
           => ( denota1997846518gree_c @ Nu3 @ Omega @ A4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[263]) ).

thf(635,plain,
    ( ( ! [B4: set_Sum_sum_c_c,A4: set_Sum_sum_c_c,Nu3: produc190496183real_c,Nu4: produc190496183real_c] :
          ( ( ord_le1772180283um_c_c @ B4 @ A4 )
         => ( ( denota1997846518gree_c @ Nu3 @ Nu4 @ A4 )
           => ( denota1997846518gree_c @ Nu3 @ Nu4 @ B4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[264]) ).

thf(636,plain,
    ( ( ! [A: real,B: real] :
          ( ( ord_less_eq_real @ A @ ( uminus_uminus_real @ B ) )
          = ( ord_less_eq_real @ B @ ( uminus_uminus_real @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[265]) ).

thf(637,plain,
    ( ( ! [A: real,B: real] :
          ( ( ord_less_eq_real @ ( uminus_uminus_real @ A ) @ B )
          = ( ord_less_eq_real @ ( uminus_uminus_real @ B ) @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[266]) ).

thf(638,plain,
    ( ( ! [A: real,B: real] :
          ( ( ord_less_eq_real @ A @ B )
         => ( ord_less_eq_real @ ( uminus_uminus_real @ B ) @ ( uminus_uminus_real @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[267]) ).

thf(639,plain,
    ( ( ! [Nu3: produc190496183real_c,I: denota231621370t_unit,A4: formula_a_b_c,B4: formula_a_b_c] :
          ( ( ( member1895684704real_c @ Nu3 @ ( denota968303861_a_b_c @ I @ A4 ) )
            = ( member1895684704real_c @ Nu3 @ ( denota968303861_a_b_c @ I @ B4 ) ) )
          = ( ( ( member1895684704real_c @ Nu3 @ ( denota968303861_a_b_c @ I @ A4 ) )
             => ( member1895684704real_c @ Nu3 @ ( denota968303861_a_b_c @ I @ B4 ) ) )
            & ( ( member1895684704real_c @ Nu3 @ ( denota968303861_a_b_c @ I @ B4 ) )
             => ( member1895684704real_c @ Nu3 @ ( denota968303861_a_b_c @ I @ A4 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[268]) ).

thf(640,plain,
    ( ( ! [S2: real] :
          ( ( ord_less_eq_real @ zero_zero_real @ S2 )
         => ( ( ord_less_eq_real @ S2 @ t )
           => ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ S2 ) ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[269]) ).

thf(641,plain,
    ( ( ! [A: real] :
          ( ( ord_less_eq_real @ zero_zero_real @ ( uminus_uminus_real @ A ) )
          = ( ord_less_eq_real @ A @ zero_zero_real ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[270]) ).

thf(642,plain,
    ( ( ! [A: real] :
          ( ( ord_less_eq_real @ ( uminus_uminus_real @ A ) @ zero_zero_real )
          = ( ord_less_eq_real @ zero_zero_real @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[271]) ).

thf(643,plain,
    ( ( ! [A: real] :
          ( ( ord_less_eq_real @ A @ ( uminus_uminus_real @ A ) )
          = ( ord_less_eq_real @ A @ zero_zero_real ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[272]) ).

thf(644,plain,
    ( ( ! [A: real] :
          ( ( ord_less_eq_real @ ( uminus_uminus_real @ A ) @ A )
          = ( ord_less_eq_real @ zero_zero_real @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[273]) ).

thf(645,plain,
    ( ( ! [X: produc190496183real_c] :
          ( ( produc314122909real_c @ ( uminus17964590real_c @ X ) )
          = ( uminus1737280820real_c @ ( produc314122909real_c @ X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[274]) ).

thf(646,plain,
    ( ( ! [X: produc190496183real_c] :
          ( ( produc2010422875real_c @ ( uminus17964590real_c @ X ) )
          = ( uminus1737280820real_c @ ( produc2010422875real_c @ X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[275]) ).

thf(647,plain,
    ( ( ! [X: finite1398487019real_c,I3: c] :
          ( ( finite772340578real_c @ ( uminus1737280820real_c @ X ) @ I3 )
          = ( uminus_uminus_real @ ( finite772340578real_c @ X @ I3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[276]) ).

thf(648,plain,
    ( ( ! [A: set_Sum_sum_c_c,B: set_Sum_sum_c_c] :
          ( ( uminus1225118734um_c_c @ ( produc1439061071um_c_c @ A @ B ) )
          = ( produc1439061071um_c_c @ ( uminus1381786404um_c_c @ A ) @ ( uminus1381786404um_c_c @ B ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[277]) ).

thf(649,plain,
    ( ( ! [A: finite1398487019real_c,B: finite1398487019real_c] :
          ( ( uminus17964590real_c @ ( produc394644079real_c @ A @ B ) )
          = ( produc394644079real_c @ ( uminus1737280820real_c @ A ) @ ( uminus1737280820real_c @ B ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[278]) ).

thf(650,plain,
    ( ( ! [B: real,A: real] :
          ( ( ord_less_eq_real @ ( uminus_uminus_real @ B ) @ ( uminus_uminus_real @ A ) )
          = ( ord_less_eq_real @ A @ B ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[279]) ).

thf(651,plain,
    ( ( ! [A: real] :
          ( ( ( uminus_uminus_real @ A )
            = A )
          = ( A = zero_zero_real ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[280]) ).

thf(652,plain,
    ( ( ! [A: real] :
          ( ( A
            = ( uminus_uminus_real @ A ) )
          = ( A = zero_zero_real ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[281]) ).

thf(653,plain,
    ( ( ! [A: real] :
          ( ( ( uminus_uminus_real @ A )
            = zero_zero_real )
          = ( A = zero_zero_real ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[282]) ).

thf(654,plain,
    ( ( ! [A: real] :
          ( ( zero_zero_real
            = ( uminus_uminus_real @ A ) )
          = ( zero_zero_real = A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[283]) ).

thf(655,plain,
    ( ( ( uminus_uminus_real @ zero_zero_real )
      = zero_zero_real )
    = $true ),
    inference(unfold_def,[status(thm)],[284]) ).

thf(656,plain,
    ( ( ( produc394644079real_c @ aa @ ba )
      = ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[285]) ).

thf(657,plain,
    ( ( ! [Nu3: produc190496183real_c,Nu4: produc190496183real_c] :
          ( ( denota1997846518gree_c @ Nu3 @ Nu4 @ ( static_FVF_a_b_c @ p ) )
         => ( ( member1895684704real_c @ Nu3 @ ( denota968303861_a_b_c @ i @ p ) )
            = ( member1895684704real_c @ Nu4 @ ( denota968303861_a_b_c @ i @ p ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[286]) ).

thf(658,plain,
    ( ( ! [A: real,B: real,C: real,D: real] :
          ( ( ord_le1342644953l_real @ ( produc705216881l_real @ A @ B ) @ ( produc705216881l_real @ C @ D ) )
          = ( ( ord_less_eq_real @ A @ C )
            & ( ord_less_eq_real @ B @ D ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[287]) ).

thf(659,plain,
    ( ( ! [A: finite1398487019real_c,B: finite1398487019real_c,C: finite1398487019real_c,D: finite1398487019real_c] :
          ( ( ord_le850691415real_c @ ( produc394644079real_c @ A @ B ) @ ( produc394644079real_c @ C @ D ) )
          = ( ( ord_le775706699real_c @ A @ C )
            & ( ord_le775706699real_c @ B @ D ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[288]) ).

thf(660,plain,
    ( ( ! [X: denota231621370t_unit,Xa: oDE_a_c,Xb: produc190496183real_c,Xc: finite1398487019real_c,Y: produc190496183real_c] :
          ( ( ( denota310462944_a_b_c @ X @ Xa @ Xb @ Xc )
            = Y )
         => ( Y
            = ( produc394644079real_c
              @ ( finite557796307c_real
                @ ^ [I2: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ I2 ) @ ( denota1293057250_a_b_c @ X @ Xa ) ) @ Xc @ ( produc2010422875real_c @ Xb ) ) @ I2 ) )
              @ ( finite557796307c_real
                @ ^ [I2: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ I2 ) @ ( denota1293057250_a_b_c @ X @ Xa ) ) @ ( denota1275485728_a_b_c @ X @ Xa @ Xc ) @ ( produc314122909real_c @ Xb ) ) @ I2 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[289]) ).

thf(661,plain,
    ( ( denota310462944_a_b_c
      = ( ^ [I5: denota231621370t_unit,ODE2: oDE_a_c,Nu: produc190496183real_c,Sol2: finite1398487019real_c] :
            ( produc394644079real_c
            @ ( finite557796307c_real
              @ ^ [I2: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ I2 ) @ ( denota1293057250_a_b_c @ I5 @ ODE2 ) ) @ Sol2 @ ( produc2010422875real_c @ Nu ) ) @ I2 ) )
            @ ( finite557796307c_real
              @ ^ [I2: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ I2 ) @ ( denota1293057250_a_b_c @ I5 @ ODE2 ) ) @ ( denota1275485728_a_b_c @ I5 @ ODE2 @ Sol2 ) @ ( produc314122909real_c @ Nu ) ) @ I2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[290]) ).

thf(662,plain,
    ( ( ( denota1997846518gree_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) @ ( produc394644079real_c @ ab @ bb ) @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ i @ oDEa ) ) )
      & ( denota1997846518gree_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) @ ( denota1896987029_a_b_c @ i @ oDEa @ ( sol @ x ) ) @ ( denota1293057250_a_b_c @ i @ oDEa ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[291]) ).

thf(663,plain,
    ( ( denota1997846518gree_c
      = ( ^ [Nu: produc190496183real_c,Nu2: produc190496183real_c,V: set_Sum_sum_c_c] :
            ( ! [I2: c] :
                ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ I2 ) @ V )
               => ( ( finite772340578real_c @ ( produc2010422875real_c @ Nu ) @ I2 )
                  = ( finite772340578real_c @ ( produc2010422875real_c @ Nu2 ) @ I2 ) ) )
            & ! [I2: c] :
                ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ I2 ) @ V )
               => ( ( finite772340578real_c @ ( produc314122909real_c @ Nu ) @ I2 )
                  = ( finite772340578real_c @ ( produc314122909real_c @ Nu2 ) @ I2 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[292]) ).

thf(664,plain,
    ( ( ( denota1997846518gree_c
        @ ( denota161327353_a_b_c @ i @ oDEa
          @ ( produc394644079real_c
            @ ( finite557796307c_real
              @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) )
            @ bb )
          @ ( finite557796307c_real
            @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) ) )
        @ ( produc394644079real_c
          @ ( finite557796307c_real
            @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) )
          @ bb )
        @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ i @ oDEa ) ) )
      & ( denota1997846518gree_c
        @ ( denota161327353_a_b_c @ i @ oDEa
          @ ( produc394644079real_c
            @ ( finite557796307c_real
              @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) )
            @ bb )
          @ ( finite557796307c_real
            @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) ) )
        @ ( denota1896987029_a_b_c @ i @ oDEa
          @ ( finite557796307c_real
            @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) ) )
        @ ( denota1293057250_a_b_c @ i @ oDEa ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[293]) ).

thf(665,plain,
    ( ( denota161327353_a_b_c
      = ( ^ [I5: denota231621370t_unit,ODE2: oDE_a_c,Nu: produc190496183real_c,Sol2: finite1398487019real_c] :
            ( produc394644079real_c
            @ ( finite557796307c_real
              @ ^ [I2: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ I2 ) @ ( denota1293057250_a_b_c @ I5 @ ODE2 ) ) @ Sol2 @ ( produc2010422875real_c @ Nu ) ) @ I2 ) )
            @ ( finite557796307c_real
              @ ^ [I2: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ I2 ) @ ( denota1293057250_a_b_c @ I5 @ ODE2 ) ) @ ( denota1275485728_a_b_c @ I5 @ ODE2 @ Sol2 ) @ ( produc314122909real_c @ Nu ) ) @ I2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[294]) ).

thf(666,plain,
    ( ( ! [Prod: produc190496183real_c] :
          ( Prod
          = ( produc394644079real_c @ ( produc2010422875real_c @ Prod ) @ ( produc314122909real_c @ Prod ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[295]) ).

thf(667,plain,
    ( ( ! [T: produc190496183real_c] :
          ( T
          = ( produc394644079real_c @ ( produc2010422875real_c @ T ) @ ( produc314122909real_c @ T ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[296]) ).

thf(668,plain,
    ( ( zero_z109254132real_c
      = ( finite557796307c_real
        @ ^ [I2: c] : zero_zero_real ) )
    = $true ),
    inference(unfold_def,[status(thm)],[297]) ).

thf(669,plain,
    ( ( ! [F: finite1398487019real_c,G: c > real] :
          ( ( ! [I2: c] :
                ( ( finite772340578real_c @ F @ I2 )
                = ( G @ I2 ) ) )
          = ( ( finite557796307c_real @ G )
            = F ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[298]) ).

thf(670,plain,
    ( ( ! [X: finite1398487019real_c] :
          ( ( finite557796307c_real @ ( finite772340578real_c @ X ) )
          = X ) )
    = $true ),
    inference(unfold_def,[status(thm)],[299]) ).

thf(671,plain,
    ( ( ! [P2: produc190496183real_c,Q2: produc190496183real_c] :
          ( ( ( produc2010422875real_c @ P2 )
            = ( produc2010422875real_c @ Q2 ) )
         => ( ( ( produc314122909real_c @ P2 )
              = ( produc314122909real_c @ Q2 ) )
           => ( P2 = Q2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[300]) ).

thf(672,plain,
    ( ( ! [Prod: produc190496183real_c,Prod2: produc190496183real_c] :
          ( ( ( ( produc2010422875real_c @ Prod )
              = ( produc2010422875real_c @ Prod2 ) )
            & ( ( produc314122909real_c @ Prod )
              = ( produc314122909real_c @ Prod2 ) ) )
         => ( Prod = Prod2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[301]) ).

thf(673,plain,
    ( ( ( ^ [Y5: produc190496183real_c,Z: produc190496183real_c] : ( Y5 = Z ) )
      = ( ^ [S: produc190496183real_c,T2: produc190496183real_c] :
            ( ( ( produc2010422875real_c @ S )
              = ( produc2010422875real_c @ T2 ) )
            & ( ( produc314122909real_c @ S )
              = ( produc314122909real_c @ T2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[302]) ).

thf(674,plain,
    ( ( ! [X: finite1398487019real_c,Y: finite1398487019real_c,A: finite1398487019real_c] :
          ( ( ( produc314122909real_c @ ( produc394644079real_c @ X @ Y ) )
            = A )
         => ( Y = A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[303]) ).

thf(675,plain,
    ( ( ! [X1: finite1398487019real_c,X2: finite1398487019real_c] :
          ( ( produc314122909real_c @ ( produc394644079real_c @ X1 @ X2 ) )
          = X2 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[304]) ).

thf(676,plain,
    ( ( ! [X: finite1398487019real_c,Y: finite1398487019real_c,A: finite1398487019real_c] :
          ( ( ( produc2010422875real_c @ ( produc394644079real_c @ X @ Y ) )
            = A )
         => ( X = A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[305]) ).

thf(677,plain,
    ( ( ! [X1: finite1398487019real_c,X2: finite1398487019real_c] :
          ( ( produc2010422875real_c @ ( produc394644079real_c @ X1 @ X2 ) )
          = X1 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[306]) ).

thf(678,plain,
    ( ( ! [P: c > $o,Q: c > $o] :
          ( ! [X4: c] :
              ( ( P @ X4 )
              = ( Q @ X4 ) )
         => ( ( collect_c @ P )
            = ( collect_c @ Q ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[307]) ).

thf(679,plain,
    ( ( ! [P: finite1398487019real_c > $o,Q: finite1398487019real_c > $o] :
          ( ! [X4: finite1398487019real_c] :
              ( ( P @ X4 )
              = ( Q @ X4 ) )
         => ( ( collec230941376real_c @ P )
            = ( collec230941376real_c @ Q ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[308]) ).

thf(680,plain,
    ( ( ! [A4: set_c] :
          ( ( collect_c
            @ ^ [X3: c] : ( member_c @ X3 @ A4 ) )
          = A4 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[309]) ).

thf(681,plain,
    ( ( ! [A4: set_Fi1407883041real_c] :
          ( ( collec230941376real_c
            @ ^ [X3: finite1398487019real_c] : ( member1261661570real_c @ X3 @ A4 ) )
          = A4 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[310]) ).

thf(682,plain,
    ( ( ! [A4: set_re2066790124real_c] :
          ( ( collec913357835real_c
            @ ^ [X3: real > finite1398487019real_c] : ( member1321351885real_c @ X3 @ A4 ) )
          = A4 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[311]) ).

thf(683,plain,
    ( ( ! [A4: set_Pr1389752855real_c] :
          ( ( collec1643251106real_c
            @ ^ [X3: produc190496183real_c] : ( member1895684704real_c @ X3 @ A4 ) )
          = A4 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[312]) ).

thf(684,plain,
    ( ( ! [A4: set_Sum_sum_c_d] :
          ( ( collect_Sum_sum_c_d
            @ ^ [X3: sum_sum_c_d] : ( member_Sum_sum_c_d @ X3 @ A4 ) )
          = A4 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[313]) ).

thf(685,plain,
    ( ( ! [A4: set_Sum_sum_c_c] :
          ( ( collect_Sum_sum_c_c
            @ ^ [X3: sum_sum_c_c] : ( member_Sum_sum_c_c @ X3 @ A4 ) )
          = A4 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[314]) ).

thf(686,plain,
    ( ( ! [A: c,P: c > $o] :
          ( ( member_c @ A @ ( collect_c @ P ) )
          = ( P @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[315]) ).

thf(687,plain,
    ( ( ! [A: finite1398487019real_c,P: finite1398487019real_c > $o] :
          ( ( member1261661570real_c @ A @ ( collec230941376real_c @ P ) )
          = ( P @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[316]) ).

thf(688,plain,
    ( ( ! [A: real > finite1398487019real_c,P: ( real > finite1398487019real_c ) > $o] :
          ( ( member1321351885real_c @ A @ ( collec913357835real_c @ P ) )
          = ( P @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[317]) ).

thf(689,plain,
    ( ( ! [A: produc190496183real_c,P: produc190496183real_c > $o] :
          ( ( member1895684704real_c @ A @ ( collec1643251106real_c @ P ) )
          = ( P @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[318]) ).

thf(690,plain,
    ( ( ! [A: sum_sum_c_d,P: sum_sum_c_d > $o] :
          ( ( member_Sum_sum_c_d @ A @ ( collect_Sum_sum_c_d @ P ) )
          = ( P @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[319]) ).

thf(691,plain,
    ( ( ! [A: sum_sum_c_c,P: sum_sum_c_c > $o] :
          ( ( member_Sum_sum_c_c @ A @ ( collect_Sum_sum_c_c @ P ) )
          = ( P @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[320]) ).

thf(692,plain,
    ( ( zero_z659284464l_real
      = ( produc705216881l_real @ zero_zero_real @ zero_zero_real ) )
    = $true ),
    inference(unfold_def,[status(thm)],[321]) ).

thf(693,plain,
    ( ( zero_z1506780526real_c
      = ( produc394644079real_c @ zero_z109254132real_c @ zero_z109254132real_c ) )
    = $true ),
    inference(unfold_def,[status(thm)],[322]) ).

thf(694,plain,
    ( ( ( ^ [Y5: finite1398487019real_c,Z: finite1398487019real_c] : ( Y5 = Z ) )
      = ( ^ [X3: finite1398487019real_c,Y3: finite1398487019real_c] :
          ! [I2: c] :
            ( ( finite772340578real_c @ X3 @ I2 )
            = ( finite772340578real_c @ Y3 @ I2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[323]) ).

thf(695,plain,
    ( ( ! [B: $o,X: finite1398487019real_c,Y: finite1398487019real_c,I3: c] :
          ( ( B
           => ( ( finite772340578real_c @ ( if_Fin36944805real_c @ B @ X @ Y ) @ I3 )
              = ( finite772340578real_c @ X @ I3 ) ) )
          & ( ~ B
           => ( ( finite772340578real_c @ ( if_Fin36944805real_c @ B @ X @ Y ) @ I3 )
              = ( finite772340578real_c @ Y @ I3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[324]) ).

thf(696,plain,
    ( ( ! [X: finite1398487019real_c,Y: finite1398487019real_c] :
          ( ( ( finite772340578real_c @ X )
            = ( finite772340578real_c @ Y ) )
          = ( X = Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[325]) ).

thf(697,plain,
    ( ( ! [P2: produc190496183real_c] :
        ? [X4: finite1398487019real_c,Y4: finite1398487019real_c] :
          ( P2
          = ( produc394644079real_c @ X4 @ Y4 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[326]) ).

thf(698,plain,
    ( ( ! [P: produc190496183real_c > $o,P2: produc190496183real_c] :
          ( ! [A3: finite1398487019real_c,B3: finite1398487019real_c] : ( P @ ( produc394644079real_c @ A3 @ B3 ) )
         => ( P @ P2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[327]) ).

thf(699,plain,
    ( ( ! [A: finite1398487019real_c,B: finite1398487019real_c,A2: finite1398487019real_c,B2: finite1398487019real_c] :
          ( ( ( produc394644079real_c @ A @ B )
            = ( produc394644079real_c @ A2 @ B2 ) )
         => ~ ( ( A = A2 )
             => ( B != B2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[328]) ).

thf(700,plain,
    ( ( ! [Y: produc190496183real_c] :
          ~ ! [A3: finite1398487019real_c,B3: finite1398487019real_c] :
              ( Y
             != ( produc394644079real_c @ A3 @ B3 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[329]) ).

thf(701,plain,
    ( ( ! [P: produc190496183real_c > $o,Prod: produc190496183real_c] :
          ( ! [A3: finite1398487019real_c,B3: finite1398487019real_c] : ( P @ ( produc394644079real_c @ A3 @ B3 ) )
         => ( P @ Prod ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[330]) ).

thf(702,plain,
    ( ( ord_le775706699real_c
      = ( ^ [X3: finite1398487019real_c,Y3: finite1398487019real_c] :
          ! [I2: c] : ( ord_less_eq_real @ ( finite772340578real_c @ X3 @ I2 ) @ ( finite772340578real_c @ Y3 @ I2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[331]) ).

thf(703,plain,
    ( ( ! [I4: c] :
          ( ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ I4 ) @ ( static_BVO_a_c @ oDEa ) )
           => ( ( finite772340578real_c @ ( sol @ zero_zero_real ) @ I4 )
              = ( finite772340578real_c @ ab @ I4 ) ) )
          & ( ( member_Sum_sum_c_d @ ( sum_Inl_c_d @ I4 ) @ ( image_c_Sum_sum_c_d @ sum_Inl_c_d @ ( static_FVO_a_c @ oDEa ) ) )
           => ( ( finite772340578real_c @ ( sol @ zero_zero_real ) @ I4 )
              = ( finite772340578real_c @ ab @ I4 ) ) )
          & ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ I4 ) @ ( static_FVF_a_b_c @ phi ) )
           => ( ( finite772340578real_c @ ( sol @ zero_zero_real ) @ I4 )
              = ( finite772340578real_c @ ab @ I4 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[332]) ).

thf(704,plain,
    ( ( ord_less_eq_real @ x @ t )
    = $true ),
    inference(unfold_def,[status(thm)],[333]) ).

thf(705,plain,
    ( ( ! [X1: finite1398487019real_c,X2: finite1398487019real_c,Y1: finite1398487019real_c,Y2: finite1398487019real_c] :
          ( ( ( produc394644079real_c @ X1 @ X2 )
            = ( produc394644079real_c @ Y1 @ Y2 ) )
          = ( ( X1 = Y1 )
            & ( X2 = Y2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[334]) ).

thf(706,plain,
    ( ( ! [A: finite1398487019real_c,B: finite1398487019real_c,A2: finite1398487019real_c,B2: finite1398487019real_c] :
          ( ( ( produc394644079real_c @ A @ B )
            = ( produc394644079real_c @ A2 @ B2 ) )
          = ( ( A = A2 )
            & ( B = B2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[335]) ).

thf(707,plain,
    ( ( fsafe_a_b_c @ p )
    = $true ),
    inference(unfold_def,[status(thm)],[336]) ).

thf(708,plain,
    ( ( osafe_a_c @ ode )
    = $true ),
    inference(unfold_def,[status(thm)],[337]) ).

thf(709,plain,
    ( ( coinci501627771_a_b_c @ p )
    = $true ),
    inference(unfold_def,[status(thm)],[338]) ).

thf(710,plain,
    ( ( ! [I3: c] :
          ( ( finite772340578real_c @ zero_z109254132real_c @ I3 )
          = zero_zero_real ) )
    = $true ),
    inference(unfold_def,[status(thm)],[339]) ).

thf(711,plain,
    ( ( ( produc2010422875real_c @ zero_z1506780526real_c )
      = zero_z109254132real_c )
    = $true ),
    inference(unfold_def,[status(thm)],[340]) ).

thf(712,plain,
    ( ( ( produc314122909real_c @ zero_z1506780526real_c )
      = zero_z109254132real_c )
    = $true ),
    inference(unfold_def,[status(thm)],[341]) ).

thf(713,plain,
    ( ( ! [ODE: oDE_a_c,I: denota231621370t_unit,Sol: real > finite1398487019real_c,T: real,Ab: finite1398487019real_c] :
          ( ( osafe_a_c @ ODE )
         => ( ( denota1275485728_a_b_c @ I @ ODE @ ( Sol @ T ) )
            = ( denota1275485728_a_b_c @ I @ ODE
              @ ( finite557796307c_real
                @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ ODE ) ) @ ( finite772340578real_c @ ( Sol @ T ) @ I2 ) @ ( finite772340578real_c @ Ab @ I2 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[342]) ).

thf(714,plain,
    ( ( ! [G: c > real,I3: c] :
          ( ( finite772340578real_c @ ( finite557796307c_real @ G ) @ I3 )
          = ( G @ I3 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[343]) ).

thf(715,plain,
    ( ( ! [X: c,Y: c] :
          ( ( sum_Inr_c_c @ X )
         != ( sum_Inl_c_c @ Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[344]) ).

thf(716,plain,
    ( ( ! [X: d,Y: c] :
          ( ( sum_Inr_d_c @ X )
         != ( sum_Inl_c_d @ Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[345]) ).

thf(717,plain,
    ( ( ! [X: c,Y: c] :
          ( ( sum_Inl_c_c @ X )
         != ( sum_Inr_c_c @ Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[346]) ).

thf(718,plain,
    ( ( ! [X: c,Y: d] :
          ( ( sum_Inl_c_d @ X )
         != ( sum_Inr_d_c @ Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[347]) ).

thf(719,plain,
    ( ( ! [G: finite1398487019real_c] :
          ( ( finite557796307c_real @ ( finite772340578real_c @ G ) )
          = G ) )
    = $true ),
    inference(unfold_def,[status(thm)],[348]) ).

thf(720,plain,
    ( ( ! [X: c,ODE: oDE_a_c] :
          ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ X ) @ ( static_BVO_a_c @ ODE ) )
         => ( member_c @ X @ ( static_FVO_a_c @ ODE ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[349]) ).

thf(721,plain,
    ( ( ! [Prod: produc190496183real_c] :
          ( ( produc394644079real_c @ ( produc2010422875real_c @ Prod ) @ ( produc314122909real_c @ Prod ) )
          = Prod ) )
    = $true ),
    inference(unfold_def,[status(thm)],[350]) ).

thf(722,plain,
    ( ( ! [X: real] :
          ( denota1997846518gree_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ X ) )
          @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb )
            @ ( finite557796307c_real
              @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ X ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) ) )
          @ ( static_FVF_a_b_c @ phi ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[351]) ).

thf(723,plain,
    ( ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( denota1293057250_a_b_c @ i @ oDEa ) )
      = ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( denota1293057250_a_b_c @ i @ oDEa ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[352]) ).

thf(724,plain,
    ( ( fsafe_a_b_c @ phi )
    = $true ),
    inference(unfold_def,[status(thm)],[353]) ).

thf(725,plain,
    ( ( ord_less_eq_real @ zero_zero_real @ x )
    = $true ),
    inference(unfold_def,[status(thm)],[354]) ).

thf(726,plain,
    ( ( p = phi )
    = $true ),
    inference(unfold_def,[status(thm)],[355]) ).

thf(727,plain,
    ( ( osafe_a_c @ oDEa )
    = $true ),
    inference(unfold_def,[status(thm)],[356]) ).

thf(728,plain,
    ( ( ! [X: c,I: denota231621370t_unit,ODE: oDE_a_c] :
          ( ( member_c @ X @ ( denota540094197_a_b_c @ I @ ODE ) )
         => ( member_c @ X @ ( static_FVO_a_c @ ODE ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[357]) ).

thf(729,plain,
    ( ( ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
       => ( ( finite772340578real_c @ ( produc314122909real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) ) @ i2 )
          = ( finite772340578real_c @ ( denota1275485728_a_b_c @ i @ oDEa @ ( sol @ x ) ) @ i2 ) ) )
      & ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
       => ( ( finite772340578real_c @ ( produc314122909real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) ) @ i2 )
          = ( finite772340578real_c @ ( denota1275485728_a_b_c @ i @ oDEa @ ( sol @ x ) ) @ i2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[358]) ).

thf(730,plain,
    ( ( ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
       => ( ( finite772340578real_c @ ( produc2010422875real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) ) @ i2 )
          = ( finite772340578real_c @ ( sol @ x ) @ i2 ) ) )
      & ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
       => ( ( finite772340578real_c @ ( produc2010422875real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) ) @ i2 )
          = ( finite772340578real_c @ ( sol @ x ) @ i2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[359]) ).

thf(731,plain,
    ( ( ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
       => ( ( finite772340578real_c
            @ ( produc314122909real_c
              @ ( denota161327353_a_b_c @ i @ oDEa
                @ ( produc394644079real_c
                  @ ( finite557796307c_real
                    @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) )
                  @ bb )
                @ ( finite557796307c_real
                  @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) ) ) )
            @ i2 )
          = ( finite772340578real_c
            @ ( denota1275485728_a_b_c @ i @ oDEa
              @ ( finite557796307c_real
                @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) ) )
            @ i2 ) ) )
      & ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
       => ( ( finite772340578real_c
            @ ( produc314122909real_c
              @ ( denota161327353_a_b_c @ i @ oDEa
                @ ( produc394644079real_c
                  @ ( finite557796307c_real
                    @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) )
                  @ bb )
                @ ( finite557796307c_real
                  @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) ) ) )
            @ i2 )
          = ( finite772340578real_c
            @ ( denota1275485728_a_b_c @ i @ oDEa
              @ ( finite557796307c_real
                @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) ) )
            @ i2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[360]) ).

thf(732,plain,
    ( ( ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
       => ( ( ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
           => ( ( finite772340578real_c
                @ ( produc2010422875real_c
                  @ ( denota161327353_a_b_c @ i @ oDEa
                    @ ( produc394644079real_c
                      @ ( finite557796307c_real
                        @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) )
                      @ bb )
                    @ ( finite557796307c_real
                      @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) ) ) )
                @ i2 )
              = ( finite772340578real_c @ ( sol @ x ) @ i2 ) ) )
          & ( ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
           => ( ( finite772340578real_c
                @ ( produc2010422875real_c
                  @ ( denota161327353_a_b_c @ i @ oDEa
                    @ ( produc394644079real_c
                      @ ( finite557796307c_real
                        @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) )
                      @ bb )
                    @ ( finite557796307c_real
                      @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) ) ) )
                @ i2 )
              = ( finite772340578real_c @ ab @ i2 ) ) ) ) )
      & ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
       => ( ( ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
           => ( ( finite772340578real_c
                @ ( produc2010422875real_c
                  @ ( denota161327353_a_b_c @ i @ oDEa
                    @ ( produc394644079real_c
                      @ ( finite557796307c_real
                        @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) )
                      @ bb )
                    @ ( finite557796307c_real
                      @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) ) ) )
                @ i2 )
              = ( finite772340578real_c @ ( sol @ x ) @ i2 ) ) )
          & ( ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
           => ( ( finite772340578real_c
                @ ( produc2010422875real_c
                  @ ( denota161327353_a_b_c @ i @ oDEa
                    @ ( produc394644079real_c
                      @ ( finite557796307c_real
                        @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) )
                      @ bb )
                    @ ( finite557796307c_real
                      @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) ) ) )
                @ i2 )
              = ( finite772340578real_c @ ab @ i2 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[361]) ).

thf(733,plain,
    ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
        & ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) ) )
     => ( ( finite772340578real_c @ ( produc314122909real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) ) @ i2 )
        = ( finite772340578real_c @ bb @ i2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[362]) ).

thf(734,plain,
    ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
        & ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) ) )
     => ( ( finite772340578real_c
          @ ( produc314122909real_c
            @ ( denota161327353_a_b_c @ i @ oDEa
              @ ( produc394644079real_c
                @ ( finite557796307c_real
                  @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) )
                @ bb )
              @ ( finite557796307c_real
                @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) ) ) )
          @ i2 )
        = ( finite772340578real_c @ bb @ i2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[363]) ).

thf(735,plain,
    ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
        & ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) ) )
     => ( ( finite772340578real_c @ ( produc2010422875real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) ) @ i2 )
        = ( finite772340578real_c @ ab @ i2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[364]) ).

thf(736,plain,
    ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
        & ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) ) )
     => ( ( ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
         => ( ( finite772340578real_c
              @ ( produc2010422875real_c
                @ ( denota161327353_a_b_c @ i @ oDEa
                  @ ( produc394644079real_c
                    @ ( finite557796307c_real
                      @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) )
                    @ bb )
                  @ ( finite557796307c_real
                    @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) ) ) )
              @ i2 )
            = ( finite772340578real_c @ ( sol @ zero_zero_real ) @ i2 ) ) )
        & ( ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
         => ( ( finite772340578real_c
              @ ( produc2010422875real_c
                @ ( denota161327353_a_b_c @ i @ oDEa
                  @ ( produc394644079real_c
                    @ ( finite557796307c_real
                      @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) )
                    @ bb )
                  @ ( finite557796307c_real
                    @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) ) ) )
              @ i2 )
            = ( finite772340578real_c @ ab @ i2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[365]) ).

thf(737,plain,
    ( ( ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[366]) ).

thf(738,plain,
    ( ( member_c @ i2 @ ( denota540094197_a_b_c @ i @ oDEa ) )
    = $true ),
    inference(unfold_def,[status(thm)],[367]) ).

thf(739,plain,
    ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( static_FVF_a_b_c @ phi ) )
    = $true ),
    inference(unfold_def,[status(thm)],[368]) ).

thf(740,plain,
    ( ( ( finite772340578real_c @ ab @ i2 )
     != ( finite772340578real_c @ ( sol @ x ) @ i2 ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[371]) ).

thf(741,plain,
    ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( static_FVF_a_b_c @ phi ) )
    = $true ),
    inference(copy,[status(thm)],[739]) ).

thf(742,plain,
    ( ( member_c @ i2 @ ( denota540094197_a_b_c @ i @ oDEa ) )
    = $true ),
    inference(copy,[status(thm)],[738]) ).

thf(743,plain,
    ( ( ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) ) )
    = $true ),
    inference(copy,[status(thm)],[737]) ).

thf(744,plain,
    ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
        & ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) ) )
     => ( ( ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
         => ( ( finite772340578real_c
              @ ( produc2010422875real_c
                @ ( denota161327353_a_b_c @ i @ oDEa
                  @ ( produc394644079real_c
                    @ ( finite557796307c_real
                      @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) )
                    @ bb )
                  @ ( finite557796307c_real
                    @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) ) ) )
              @ i2 )
            = ( finite772340578real_c @ ( sol @ zero_zero_real ) @ i2 ) ) )
        & ( ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
         => ( ( finite772340578real_c
              @ ( produc2010422875real_c
                @ ( denota161327353_a_b_c @ i @ oDEa
                  @ ( produc394644079real_c
                    @ ( finite557796307c_real
                      @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) )
                    @ bb )
                  @ ( finite557796307c_real
                    @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) ) ) )
              @ i2 )
            = ( finite772340578real_c @ ab @ i2 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[736]) ).

thf(745,plain,
    ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
        & ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) ) )
     => ( ( finite772340578real_c @ ( produc2010422875real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) ) @ i2 )
        = ( finite772340578real_c @ ab @ i2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[735]) ).

thf(746,plain,
    ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
        & ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) ) )
     => ( ( finite772340578real_c
          @ ( produc314122909real_c
            @ ( denota161327353_a_b_c @ i @ oDEa
              @ ( produc394644079real_c
                @ ( finite557796307c_real
                  @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) )
                @ bb )
              @ ( finite557796307c_real
                @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) ) ) )
          @ i2 )
        = ( finite772340578real_c @ bb @ i2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[734]) ).

thf(747,plain,
    ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
        & ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) ) )
     => ( ( finite772340578real_c @ ( produc314122909real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) ) @ i2 )
        = ( finite772340578real_c @ bb @ i2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[733]) ).

thf(748,plain,
    ( ( ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
       => ( ( ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
           => ( ( finite772340578real_c
                @ ( produc2010422875real_c
                  @ ( denota161327353_a_b_c @ i @ oDEa
                    @ ( produc394644079real_c
                      @ ( finite557796307c_real
                        @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) )
                      @ bb )
                    @ ( finite557796307c_real
                      @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) ) ) )
                @ i2 )
              = ( finite772340578real_c @ ( sol @ x ) @ i2 ) ) )
          & ( ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
           => ( ( finite772340578real_c
                @ ( produc2010422875real_c
                  @ ( denota161327353_a_b_c @ i @ oDEa
                    @ ( produc394644079real_c
                      @ ( finite557796307c_real
                        @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) )
                      @ bb )
                    @ ( finite557796307c_real
                      @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) ) ) )
                @ i2 )
              = ( finite772340578real_c @ ab @ i2 ) ) ) ) )
      & ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
       => ( ( ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
           => ( ( finite772340578real_c
                @ ( produc2010422875real_c
                  @ ( denota161327353_a_b_c @ i @ oDEa
                    @ ( produc394644079real_c
                      @ ( finite557796307c_real
                        @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) )
                      @ bb )
                    @ ( finite557796307c_real
                      @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) ) ) )
                @ i2 )
              = ( finite772340578real_c @ ( sol @ x ) @ i2 ) ) )
          & ( ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
           => ( ( finite772340578real_c
                @ ( produc2010422875real_c
                  @ ( denota161327353_a_b_c @ i @ oDEa
                    @ ( produc394644079real_c
                      @ ( finite557796307c_real
                        @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) )
                      @ bb )
                    @ ( finite557796307c_real
                      @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) ) ) )
                @ i2 )
              = ( finite772340578real_c @ ab @ i2 ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[732]) ).

thf(749,plain,
    ( ( ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
       => ( ( finite772340578real_c
            @ ( produc314122909real_c
              @ ( denota161327353_a_b_c @ i @ oDEa
                @ ( produc394644079real_c
                  @ ( finite557796307c_real
                    @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) )
                  @ bb )
                @ ( finite557796307c_real
                  @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) ) ) )
            @ i2 )
          = ( finite772340578real_c
            @ ( denota1275485728_a_b_c @ i @ oDEa
              @ ( finite557796307c_real
                @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) ) )
            @ i2 ) ) )
      & ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
       => ( ( finite772340578real_c
            @ ( produc314122909real_c
              @ ( denota161327353_a_b_c @ i @ oDEa
                @ ( produc394644079real_c
                  @ ( finite557796307c_real
                    @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) )
                  @ bb )
                @ ( finite557796307c_real
                  @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) ) ) )
            @ i2 )
          = ( finite772340578real_c
            @ ( denota1275485728_a_b_c @ i @ oDEa
              @ ( finite557796307c_real
                @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) ) )
            @ i2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[731]) ).

thf(750,plain,
    ( ( ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
       => ( ( finite772340578real_c @ ( produc2010422875real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) ) @ i2 )
          = ( finite772340578real_c @ ( sol @ x ) @ i2 ) ) )
      & ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
       => ( ( finite772340578real_c @ ( produc2010422875real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) ) @ i2 )
          = ( finite772340578real_c @ ( sol @ x ) @ i2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[730]) ).

thf(751,plain,
    ( ( ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
       => ( ( finite772340578real_c @ ( produc314122909real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) ) @ i2 )
          = ( finite772340578real_c @ ( denota1275485728_a_b_c @ i @ oDEa @ ( sol @ x ) ) @ i2 ) ) )
      & ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
       => ( ( finite772340578real_c @ ( produc314122909real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) ) @ i2 )
          = ( finite772340578real_c @ ( denota1275485728_a_b_c @ i @ oDEa @ ( sol @ x ) ) @ i2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[729]) ).

thf(752,plain,
    ( ( ! [X: c,I: denota231621370t_unit,ODE: oDE_a_c] :
          ( ( member_c @ X @ ( denota540094197_a_b_c @ I @ ODE ) )
         => ( member_c @ X @ ( static_FVO_a_c @ ODE ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[728]) ).

thf(753,plain,
    ( ( osafe_a_c @ oDEa )
    = $true ),
    inference(copy,[status(thm)],[727]) ).

thf(754,plain,
    ( ( p = phi )
    = $true ),
    inference(copy,[status(thm)],[726]) ).

thf(755,plain,
    ( ( ord_less_eq_real @ zero_zero_real @ x )
    = $true ),
    inference(copy,[status(thm)],[725]) ).

thf(756,plain,
    ( ( fsafe_a_b_c @ phi )
    = $true ),
    inference(copy,[status(thm)],[724]) ).

thf(757,plain,
    ( ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( denota1293057250_a_b_c @ i @ oDEa ) )
      = ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( denota1293057250_a_b_c @ i @ oDEa ) ) )
    = $true ),
    inference(copy,[status(thm)],[723]) ).

thf(758,plain,
    ( ( ! [X: real] :
          ( denota1997846518gree_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ X ) )
          @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb )
            @ ( finite557796307c_real
              @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ X ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) ) )
          @ ( static_FVF_a_b_c @ phi ) ) )
    = $true ),
    inference(copy,[status(thm)],[722]) ).

thf(759,plain,
    ( ( ! [Prod: produc190496183real_c] :
          ( ( produc394644079real_c @ ( produc2010422875real_c @ Prod ) @ ( produc314122909real_c @ Prod ) )
          = Prod ) )
    = $true ),
    inference(copy,[status(thm)],[721]) ).

thf(760,plain,
    ( ( ! [X: c,ODE: oDE_a_c] :
          ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ X ) @ ( static_BVO_a_c @ ODE ) )
         => ( member_c @ X @ ( static_FVO_a_c @ ODE ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[720]) ).

thf(761,plain,
    ( ( ! [G: finite1398487019real_c] :
          ( ( finite557796307c_real @ ( finite772340578real_c @ G ) )
          = G ) )
    = $true ),
    inference(copy,[status(thm)],[719]) ).

thf(762,plain,
    ( ( ! [X: c,Y: d] :
          ( ( sum_Inl_c_d @ X )
         != ( sum_Inr_d_c @ Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[718]) ).

thf(763,plain,
    ( ( ! [X: c,Y: c] :
          ( ( sum_Inl_c_c @ X )
         != ( sum_Inr_c_c @ Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[717]) ).

thf(764,plain,
    ( ( ! [X: d,Y: c] :
          ( ( sum_Inr_d_c @ X )
         != ( sum_Inl_c_d @ Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[716]) ).

thf(765,plain,
    ( ( ! [X: c,Y: c] :
          ( ( sum_Inr_c_c @ X )
         != ( sum_Inl_c_c @ Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[715]) ).

thf(766,plain,
    ( ( ! [G: c > real,I3: c] :
          ( ( finite772340578real_c @ ( finite557796307c_real @ G ) @ I3 )
          = ( G @ I3 ) ) )
    = $true ),
    inference(copy,[status(thm)],[714]) ).

thf(767,plain,
    ( ( ! [ODE: oDE_a_c,I: denota231621370t_unit,Sol: real > finite1398487019real_c,T: real,Ab: finite1398487019real_c] :
          ( ( osafe_a_c @ ODE )
         => ( ( denota1275485728_a_b_c @ I @ ODE @ ( Sol @ T ) )
            = ( denota1275485728_a_b_c @ I @ ODE
              @ ( finite557796307c_real
                @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ ODE ) ) @ ( finite772340578real_c @ ( Sol @ T ) @ I2 ) @ ( finite772340578real_c @ Ab @ I2 ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[713]) ).

thf(768,plain,
    ( ( ( produc314122909real_c @ zero_z1506780526real_c )
      = zero_z109254132real_c )
    = $true ),
    inference(copy,[status(thm)],[712]) ).

thf(769,plain,
    ( ( ( produc2010422875real_c @ zero_z1506780526real_c )
      = zero_z109254132real_c )
    = $true ),
    inference(copy,[status(thm)],[711]) ).

thf(770,plain,
    ( ( ! [I3: c] :
          ( ( finite772340578real_c @ zero_z109254132real_c @ I3 )
          = zero_zero_real ) )
    = $true ),
    inference(copy,[status(thm)],[710]) ).

thf(771,plain,
    ( ( coinci501627771_a_b_c @ p )
    = $true ),
    inference(copy,[status(thm)],[709]) ).

thf(772,plain,
    ( ( osafe_a_c @ ode )
    = $true ),
    inference(copy,[status(thm)],[708]) ).

thf(773,plain,
    ( ( fsafe_a_b_c @ p )
    = $true ),
    inference(copy,[status(thm)],[707]) ).

thf(774,plain,
    ( ( ! [A: finite1398487019real_c,B: finite1398487019real_c,A2: finite1398487019real_c,B2: finite1398487019real_c] :
          ( ( ( produc394644079real_c @ A @ B )
            = ( produc394644079real_c @ A2 @ B2 ) )
          = ( ( A = A2 )
            & ( B = B2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[706]) ).

thf(775,plain,
    ( ( ! [X1: finite1398487019real_c,X2: finite1398487019real_c,Y1: finite1398487019real_c,Y2: finite1398487019real_c] :
          ( ( ( produc394644079real_c @ X1 @ X2 )
            = ( produc394644079real_c @ Y1 @ Y2 ) )
          = ( ( X1 = Y1 )
            & ( X2 = Y2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[705]) ).

thf(776,plain,
    ( ( ord_less_eq_real @ x @ t )
    = $true ),
    inference(copy,[status(thm)],[704]) ).

thf(777,plain,
    ( ( ! [I4: c] :
          ( ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ I4 ) @ ( static_BVO_a_c @ oDEa ) )
           => ( ( finite772340578real_c @ ( sol @ zero_zero_real ) @ I4 )
              = ( finite772340578real_c @ ab @ I4 ) ) )
          & ( ( member_Sum_sum_c_d @ ( sum_Inl_c_d @ I4 ) @ ( image_c_Sum_sum_c_d @ sum_Inl_c_d @ ( static_FVO_a_c @ oDEa ) ) )
           => ( ( finite772340578real_c @ ( sol @ zero_zero_real ) @ I4 )
              = ( finite772340578real_c @ ab @ I4 ) ) )
          & ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ I4 ) @ ( static_FVF_a_b_c @ phi ) )
           => ( ( finite772340578real_c @ ( sol @ zero_zero_real ) @ I4 )
              = ( finite772340578real_c @ ab @ I4 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[703]) ).

thf(778,plain,
    ( ( ord_le775706699real_c
      = ( ^ [X3: finite1398487019real_c,Y3: finite1398487019real_c] :
          ! [I2: c] : ( ord_less_eq_real @ ( finite772340578real_c @ X3 @ I2 ) @ ( finite772340578real_c @ Y3 @ I2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[702]) ).

thf(779,plain,
    ( ( ! [P: produc190496183real_c > $o,Prod: produc190496183real_c] :
          ( ! [A3: finite1398487019real_c,B3: finite1398487019real_c] : ( P @ ( produc394644079real_c @ A3 @ B3 ) )
         => ( P @ Prod ) ) )
    = $true ),
    inference(copy,[status(thm)],[701]) ).

thf(780,plain,
    ( ( ! [Y: produc190496183real_c] :
          ~ ! [A3: finite1398487019real_c,B3: finite1398487019real_c] :
              ( Y
             != ( produc394644079real_c @ A3 @ B3 ) ) )
    = $true ),
    inference(copy,[status(thm)],[700]) ).

thf(781,plain,
    ( ( ! [A: finite1398487019real_c,B: finite1398487019real_c,A2: finite1398487019real_c,B2: finite1398487019real_c] :
          ( ( ( produc394644079real_c @ A @ B )
            = ( produc394644079real_c @ A2 @ B2 ) )
         => ~ ( ( A = A2 )
             => ( B != B2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[699]) ).

thf(782,plain,
    ( ( ! [P: produc190496183real_c > $o,P2: produc190496183real_c] :
          ( ! [A3: finite1398487019real_c,B3: finite1398487019real_c] : ( P @ ( produc394644079real_c @ A3 @ B3 ) )
         => ( P @ P2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[698]) ).

thf(783,plain,
    ( ( ! [P2: produc190496183real_c] :
        ? [X4: finite1398487019real_c,Y4: finite1398487019real_c] :
          ( P2
          = ( produc394644079real_c @ X4 @ Y4 ) ) )
    = $true ),
    inference(copy,[status(thm)],[697]) ).

thf(784,plain,
    ( ( ! [X: finite1398487019real_c,Y: finite1398487019real_c] :
          ( ( ( finite772340578real_c @ X )
            = ( finite772340578real_c @ Y ) )
          = ( X = Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[696]) ).

thf(785,plain,
    ( ( ! [B: $o,X: finite1398487019real_c,Y: finite1398487019real_c,I3: c] :
          ( ( B
           => ( ( finite772340578real_c @ ( if_Fin36944805real_c @ B @ X @ Y ) @ I3 )
              = ( finite772340578real_c @ X @ I3 ) ) )
          & ( ~ B
           => ( ( finite772340578real_c @ ( if_Fin36944805real_c @ B @ X @ Y ) @ I3 )
              = ( finite772340578real_c @ Y @ I3 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[695]) ).

thf(786,plain,
    ( ( ( ^ [Y5: finite1398487019real_c,Z: finite1398487019real_c] : ( Y5 = Z ) )
      = ( ^ [X3: finite1398487019real_c,Y3: finite1398487019real_c] :
          ! [I2: c] :
            ( ( finite772340578real_c @ X3 @ I2 )
            = ( finite772340578real_c @ Y3 @ I2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[694]) ).

thf(787,plain,
    ( ( zero_z1506780526real_c
      = ( produc394644079real_c @ zero_z109254132real_c @ zero_z109254132real_c ) )
    = $true ),
    inference(copy,[status(thm)],[693]) ).

thf(788,plain,
    ( ( zero_z659284464l_real
      = ( produc705216881l_real @ zero_zero_real @ zero_zero_real ) )
    = $true ),
    inference(copy,[status(thm)],[692]) ).

thf(789,plain,
    ( ( ! [A: sum_sum_c_c,P: sum_sum_c_c > $o] :
          ( ( member_Sum_sum_c_c @ A @ ( collect_Sum_sum_c_c @ P ) )
          = ( P @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[691]) ).

thf(790,plain,
    ( ( ! [A: sum_sum_c_d,P: sum_sum_c_d > $o] :
          ( ( member_Sum_sum_c_d @ A @ ( collect_Sum_sum_c_d @ P ) )
          = ( P @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[690]) ).

thf(791,plain,
    ( ( ! [A: produc190496183real_c,P: produc190496183real_c > $o] :
          ( ( member1895684704real_c @ A @ ( collec1643251106real_c @ P ) )
          = ( P @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[689]) ).

thf(792,plain,
    ( ( ! [A: real > finite1398487019real_c,P: ( real > finite1398487019real_c ) > $o] :
          ( ( member1321351885real_c @ A @ ( collec913357835real_c @ P ) )
          = ( P @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[688]) ).

thf(793,plain,
    ( ( ! [A: finite1398487019real_c,P: finite1398487019real_c > $o] :
          ( ( member1261661570real_c @ A @ ( collec230941376real_c @ P ) )
          = ( P @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[687]) ).

thf(794,plain,
    ( ( ! [A: c,P: c > $o] :
          ( ( member_c @ A @ ( collect_c @ P ) )
          = ( P @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[686]) ).

thf(795,plain,
    ( ( ! [A4: set_Sum_sum_c_c] :
          ( ( collect_Sum_sum_c_c
            @ ^ [X3: sum_sum_c_c] : ( member_Sum_sum_c_c @ X3 @ A4 ) )
          = A4 ) )
    = $true ),
    inference(copy,[status(thm)],[685]) ).

thf(796,plain,
    ( ( ! [A4: set_Sum_sum_c_d] :
          ( ( collect_Sum_sum_c_d
            @ ^ [X3: sum_sum_c_d] : ( member_Sum_sum_c_d @ X3 @ A4 ) )
          = A4 ) )
    = $true ),
    inference(copy,[status(thm)],[684]) ).

thf(797,plain,
    ( ( ! [A4: set_Pr1389752855real_c] :
          ( ( collec1643251106real_c
            @ ^ [X3: produc190496183real_c] : ( member1895684704real_c @ X3 @ A4 ) )
          = A4 ) )
    = $true ),
    inference(copy,[status(thm)],[683]) ).

thf(798,plain,
    ( ( ! [A4: set_re2066790124real_c] :
          ( ( collec913357835real_c
            @ ^ [X3: real > finite1398487019real_c] : ( member1321351885real_c @ X3 @ A4 ) )
          = A4 ) )
    = $true ),
    inference(copy,[status(thm)],[682]) ).

thf(799,plain,
    ( ( ! [A4: set_Fi1407883041real_c] :
          ( ( collec230941376real_c
            @ ^ [X3: finite1398487019real_c] : ( member1261661570real_c @ X3 @ A4 ) )
          = A4 ) )
    = $true ),
    inference(copy,[status(thm)],[681]) ).

thf(800,plain,
    ( ( ! [A4: set_c] :
          ( ( collect_c
            @ ^ [X3: c] : ( member_c @ X3 @ A4 ) )
          = A4 ) )
    = $true ),
    inference(copy,[status(thm)],[680]) ).

thf(801,plain,
    ( ( ! [P: finite1398487019real_c > $o,Q: finite1398487019real_c > $o] :
          ( ! [X4: finite1398487019real_c] :
              ( ( P @ X4 )
              = ( Q @ X4 ) )
         => ( ( collec230941376real_c @ P )
            = ( collec230941376real_c @ Q ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[679]) ).

thf(802,plain,
    ( ( ! [P: c > $o,Q: c > $o] :
          ( ! [X4: c] :
              ( ( P @ X4 )
              = ( Q @ X4 ) )
         => ( ( collect_c @ P )
            = ( collect_c @ Q ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[678]) ).

thf(803,plain,
    ( ( ! [X1: finite1398487019real_c,X2: finite1398487019real_c] :
          ( ( produc2010422875real_c @ ( produc394644079real_c @ X1 @ X2 ) )
          = X1 ) )
    = $true ),
    inference(copy,[status(thm)],[677]) ).

thf(804,plain,
    ( ( ! [X: finite1398487019real_c,Y: finite1398487019real_c,A: finite1398487019real_c] :
          ( ( ( produc2010422875real_c @ ( produc394644079real_c @ X @ Y ) )
            = A )
         => ( X = A ) ) )
    = $true ),
    inference(copy,[status(thm)],[676]) ).

thf(805,plain,
    ( ( ! [X1: finite1398487019real_c,X2: finite1398487019real_c] :
          ( ( produc314122909real_c @ ( produc394644079real_c @ X1 @ X2 ) )
          = X2 ) )
    = $true ),
    inference(copy,[status(thm)],[675]) ).

thf(806,plain,
    ( ( ! [X: finite1398487019real_c,Y: finite1398487019real_c,A: finite1398487019real_c] :
          ( ( ( produc314122909real_c @ ( produc394644079real_c @ X @ Y ) )
            = A )
         => ( Y = A ) ) )
    = $true ),
    inference(copy,[status(thm)],[674]) ).

thf(807,plain,
    ( ( ( ^ [Y5: produc190496183real_c,Z: produc190496183real_c] : ( Y5 = Z ) )
      = ( ^ [S: produc190496183real_c,T2: produc190496183real_c] :
            ( ( ( produc2010422875real_c @ S )
              = ( produc2010422875real_c @ T2 ) )
            & ( ( produc314122909real_c @ S )
              = ( produc314122909real_c @ T2 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[673]) ).

thf(808,plain,
    ( ( ! [Prod: produc190496183real_c,Prod2: produc190496183real_c] :
          ( ( ( ( produc2010422875real_c @ Prod )
              = ( produc2010422875real_c @ Prod2 ) )
            & ( ( produc314122909real_c @ Prod )
              = ( produc314122909real_c @ Prod2 ) ) )
         => ( Prod = Prod2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[672]) ).

thf(809,plain,
    ( ( ! [P2: produc190496183real_c,Q2: produc190496183real_c] :
          ( ( ( produc2010422875real_c @ P2 )
            = ( produc2010422875real_c @ Q2 ) )
         => ( ( ( produc314122909real_c @ P2 )
              = ( produc314122909real_c @ Q2 ) )
           => ( P2 = Q2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[671]) ).

thf(810,plain,
    ( ( ! [X: finite1398487019real_c] :
          ( ( finite557796307c_real @ ( finite772340578real_c @ X ) )
          = X ) )
    = $true ),
    inference(copy,[status(thm)],[670]) ).

thf(811,plain,
    ( ( ! [F: finite1398487019real_c,G: c > real] :
          ( ( ! [I2: c] :
                ( ( finite772340578real_c @ F @ I2 )
                = ( G @ I2 ) ) )
          = ( ( finite557796307c_real @ G )
            = F ) ) )
    = $true ),
    inference(copy,[status(thm)],[669]) ).

thf(812,plain,
    ( ( zero_z109254132real_c
      = ( finite557796307c_real
        @ ^ [I2: c] : zero_zero_real ) )
    = $true ),
    inference(copy,[status(thm)],[668]) ).

thf(813,plain,
    ( ( ! [T: produc190496183real_c] :
          ( T
          = ( produc394644079real_c @ ( produc2010422875real_c @ T ) @ ( produc314122909real_c @ T ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[667]) ).

thf(814,plain,
    ( ( ! [Prod: produc190496183real_c] :
          ( Prod
          = ( produc394644079real_c @ ( produc2010422875real_c @ Prod ) @ ( produc314122909real_c @ Prod ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[666]) ).

thf(815,plain,
    ( ( denota161327353_a_b_c
      = ( ^ [I5: denota231621370t_unit,ODE2: oDE_a_c,Nu: produc190496183real_c,Sol2: finite1398487019real_c] :
            ( produc394644079real_c
            @ ( finite557796307c_real
              @ ^ [I2: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ I2 ) @ ( denota1293057250_a_b_c @ I5 @ ODE2 ) ) @ Sol2 @ ( produc2010422875real_c @ Nu ) ) @ I2 ) )
            @ ( finite557796307c_real
              @ ^ [I2: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ I2 ) @ ( denota1293057250_a_b_c @ I5 @ ODE2 ) ) @ ( denota1275485728_a_b_c @ I5 @ ODE2 @ Sol2 ) @ ( produc314122909real_c @ Nu ) ) @ I2 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[665]) ).

thf(816,plain,
    ( ( ( denota1997846518gree_c
        @ ( denota161327353_a_b_c @ i @ oDEa
          @ ( produc394644079real_c
            @ ( finite557796307c_real
              @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) )
            @ bb )
          @ ( finite557796307c_real
            @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) ) )
        @ ( produc394644079real_c
          @ ( finite557796307c_real
            @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) )
          @ bb )
        @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ i @ oDEa ) ) )
      & ( denota1997846518gree_c
        @ ( denota161327353_a_b_c @ i @ oDEa
          @ ( produc394644079real_c
            @ ( finite557796307c_real
              @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) )
            @ bb )
          @ ( finite557796307c_real
            @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) ) )
        @ ( denota1896987029_a_b_c @ i @ oDEa
          @ ( finite557796307c_real
            @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) ) )
        @ ( denota1293057250_a_b_c @ i @ oDEa ) ) )
    = $true ),
    inference(copy,[status(thm)],[664]) ).

thf(817,plain,
    ( ( denota1997846518gree_c
      = ( ^ [Nu: produc190496183real_c,Nu2: produc190496183real_c,V: set_Sum_sum_c_c] :
            ( ! [I2: c] :
                ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ I2 ) @ V )
               => ( ( finite772340578real_c @ ( produc2010422875real_c @ Nu ) @ I2 )
                  = ( finite772340578real_c @ ( produc2010422875real_c @ Nu2 ) @ I2 ) ) )
            & ! [I2: c] :
                ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ I2 ) @ V )
               => ( ( finite772340578real_c @ ( produc314122909real_c @ Nu ) @ I2 )
                  = ( finite772340578real_c @ ( produc314122909real_c @ Nu2 ) @ I2 ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[663]) ).

thf(818,plain,
    ( ( ( denota1997846518gree_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) @ ( produc394644079real_c @ ab @ bb ) @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ i @ oDEa ) ) )
      & ( denota1997846518gree_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) @ ( denota1896987029_a_b_c @ i @ oDEa @ ( sol @ x ) ) @ ( denota1293057250_a_b_c @ i @ oDEa ) ) )
    = $true ),
    inference(copy,[status(thm)],[662]) ).

thf(819,plain,
    ( ( denota310462944_a_b_c
      = ( ^ [I5: denota231621370t_unit,ODE2: oDE_a_c,Nu: produc190496183real_c,Sol2: finite1398487019real_c] :
            ( produc394644079real_c
            @ ( finite557796307c_real
              @ ^ [I2: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ I2 ) @ ( denota1293057250_a_b_c @ I5 @ ODE2 ) ) @ Sol2 @ ( produc2010422875real_c @ Nu ) ) @ I2 ) )
            @ ( finite557796307c_real
              @ ^ [I2: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ I2 ) @ ( denota1293057250_a_b_c @ I5 @ ODE2 ) ) @ ( denota1275485728_a_b_c @ I5 @ ODE2 @ Sol2 ) @ ( produc314122909real_c @ Nu ) ) @ I2 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[661]) ).

thf(820,plain,
    ( ( ! [X: denota231621370t_unit,Xa: oDE_a_c,Xb: produc190496183real_c,Xc: finite1398487019real_c,Y: produc190496183real_c] :
          ( ( ( denota310462944_a_b_c @ X @ Xa @ Xb @ Xc )
            = Y )
         => ( Y
            = ( produc394644079real_c
              @ ( finite557796307c_real
                @ ^ [I2: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ I2 ) @ ( denota1293057250_a_b_c @ X @ Xa ) ) @ Xc @ ( produc2010422875real_c @ Xb ) ) @ I2 ) )
              @ ( finite557796307c_real
                @ ^ [I2: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ I2 ) @ ( denota1293057250_a_b_c @ X @ Xa ) ) @ ( denota1275485728_a_b_c @ X @ Xa @ Xc ) @ ( produc314122909real_c @ Xb ) ) @ I2 ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[660]) ).

thf(821,plain,
    ( ( ! [A: finite1398487019real_c,B: finite1398487019real_c,C: finite1398487019real_c,D: finite1398487019real_c] :
          ( ( ord_le850691415real_c @ ( produc394644079real_c @ A @ B ) @ ( produc394644079real_c @ C @ D ) )
          = ( ( ord_le775706699real_c @ A @ C )
            & ( ord_le775706699real_c @ B @ D ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[659]) ).

thf(822,plain,
    ( ( ! [A: real,B: real,C: real,D: real] :
          ( ( ord_le1342644953l_real @ ( produc705216881l_real @ A @ B ) @ ( produc705216881l_real @ C @ D ) )
          = ( ( ord_less_eq_real @ A @ C )
            & ( ord_less_eq_real @ B @ D ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[658]) ).

thf(823,plain,
    ( ( ! [Nu3: produc190496183real_c,Nu4: produc190496183real_c] :
          ( ( denota1997846518gree_c @ Nu3 @ Nu4 @ ( static_FVF_a_b_c @ p ) )
         => ( ( member1895684704real_c @ Nu3 @ ( denota968303861_a_b_c @ i @ p ) )
            = ( member1895684704real_c @ Nu4 @ ( denota968303861_a_b_c @ i @ p ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[657]) ).

thf(824,plain,
    ( ( ( produc394644079real_c @ aa @ ba )
      = ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
    = $true ),
    inference(copy,[status(thm)],[656]) ).

thf(825,plain,
    ( ( ( uminus_uminus_real @ zero_zero_real )
      = zero_zero_real )
    = $true ),
    inference(copy,[status(thm)],[655]) ).

thf(826,plain,
    ( ( ! [A: real] :
          ( ( zero_zero_real
            = ( uminus_uminus_real @ A ) )
          = ( zero_zero_real = A ) ) )
    = $true ),
    inference(copy,[status(thm)],[654]) ).

thf(827,plain,
    ( ( ! [A: real] :
          ( ( ( uminus_uminus_real @ A )
            = zero_zero_real )
          = ( A = zero_zero_real ) ) )
    = $true ),
    inference(copy,[status(thm)],[653]) ).

thf(828,plain,
    ( ( ! [A: real] :
          ( ( A
            = ( uminus_uminus_real @ A ) )
          = ( A = zero_zero_real ) ) )
    = $true ),
    inference(copy,[status(thm)],[652]) ).

thf(829,plain,
    ( ( ! [A: real] :
          ( ( ( uminus_uminus_real @ A )
            = A )
          = ( A = zero_zero_real ) ) )
    = $true ),
    inference(copy,[status(thm)],[651]) ).

thf(830,plain,
    ( ( ! [B: real,A: real] :
          ( ( ord_less_eq_real @ ( uminus_uminus_real @ B ) @ ( uminus_uminus_real @ A ) )
          = ( ord_less_eq_real @ A @ B ) ) )
    = $true ),
    inference(copy,[status(thm)],[650]) ).

thf(831,plain,
    ( ( ! [A: finite1398487019real_c,B: finite1398487019real_c] :
          ( ( uminus17964590real_c @ ( produc394644079real_c @ A @ B ) )
          = ( produc394644079real_c @ ( uminus1737280820real_c @ A ) @ ( uminus1737280820real_c @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[649]) ).

thf(832,plain,
    ( ( ! [A: set_Sum_sum_c_c,B: set_Sum_sum_c_c] :
          ( ( uminus1225118734um_c_c @ ( produc1439061071um_c_c @ A @ B ) )
          = ( produc1439061071um_c_c @ ( uminus1381786404um_c_c @ A ) @ ( uminus1381786404um_c_c @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[648]) ).

thf(833,plain,
    ( ( ! [X: finite1398487019real_c,I3: c] :
          ( ( finite772340578real_c @ ( uminus1737280820real_c @ X ) @ I3 )
          = ( uminus_uminus_real @ ( finite772340578real_c @ X @ I3 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[647]) ).

thf(834,plain,
    ( ( ! [X: produc190496183real_c] :
          ( ( produc2010422875real_c @ ( uminus17964590real_c @ X ) )
          = ( uminus1737280820real_c @ ( produc2010422875real_c @ X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[646]) ).

thf(835,plain,
    ( ( ! [X: produc190496183real_c] :
          ( ( produc314122909real_c @ ( uminus17964590real_c @ X ) )
          = ( uminus1737280820real_c @ ( produc314122909real_c @ X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[645]) ).

thf(836,plain,
    ( ( ! [A: real] :
          ( ( ord_less_eq_real @ ( uminus_uminus_real @ A ) @ A )
          = ( ord_less_eq_real @ zero_zero_real @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[644]) ).

thf(837,plain,
    ( ( ! [A: real] :
          ( ( ord_less_eq_real @ A @ ( uminus_uminus_real @ A ) )
          = ( ord_less_eq_real @ A @ zero_zero_real ) ) )
    = $true ),
    inference(copy,[status(thm)],[643]) ).

thf(838,plain,
    ( ( ! [A: real] :
          ( ( ord_less_eq_real @ ( uminus_uminus_real @ A ) @ zero_zero_real )
          = ( ord_less_eq_real @ zero_zero_real @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[642]) ).

thf(839,plain,
    ( ( ! [A: real] :
          ( ( ord_less_eq_real @ zero_zero_real @ ( uminus_uminus_real @ A ) )
          = ( ord_less_eq_real @ A @ zero_zero_real ) ) )
    = $true ),
    inference(copy,[status(thm)],[641]) ).

thf(840,plain,
    ( ( ! [S2: real] :
          ( ( ord_less_eq_real @ zero_zero_real @ S2 )
         => ( ( ord_less_eq_real @ S2 @ t )
           => ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ S2 ) ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[640]) ).

thf(841,plain,
    ( ( ! [Nu3: produc190496183real_c,I: denota231621370t_unit,A4: formula_a_b_c,B4: formula_a_b_c] :
          ( ( ( member1895684704real_c @ Nu3 @ ( denota968303861_a_b_c @ I @ A4 ) )
            = ( member1895684704real_c @ Nu3 @ ( denota968303861_a_b_c @ I @ B4 ) ) )
          = ( ( ( member1895684704real_c @ Nu3 @ ( denota968303861_a_b_c @ I @ A4 ) )
             => ( member1895684704real_c @ Nu3 @ ( denota968303861_a_b_c @ I @ B4 ) ) )
            & ( ( member1895684704real_c @ Nu3 @ ( denota968303861_a_b_c @ I @ B4 ) )
             => ( member1895684704real_c @ Nu3 @ ( denota968303861_a_b_c @ I @ A4 ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[639]) ).

thf(842,plain,
    ( ( ! [A: real,B: real] :
          ( ( ord_less_eq_real @ A @ B )
         => ( ord_less_eq_real @ ( uminus_uminus_real @ B ) @ ( uminus_uminus_real @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[638]) ).

thf(843,plain,
    ( ( ! [A: real,B: real] :
          ( ( ord_less_eq_real @ ( uminus_uminus_real @ A ) @ B )
          = ( ord_less_eq_real @ ( uminus_uminus_real @ B ) @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[637]) ).

thf(844,plain,
    ( ( ! [A: real,B: real] :
          ( ( ord_less_eq_real @ A @ ( uminus_uminus_real @ B ) )
          = ( ord_less_eq_real @ B @ ( uminus_uminus_real @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[636]) ).

thf(845,plain,
    ( ( ! [B4: set_Sum_sum_c_c,A4: set_Sum_sum_c_c,Nu3: produc190496183real_c,Nu4: produc190496183real_c] :
          ( ( ord_le1772180283um_c_c @ B4 @ A4 )
         => ( ( denota1997846518gree_c @ Nu3 @ Nu4 @ A4 )
           => ( denota1997846518gree_c @ Nu3 @ Nu4 @ B4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[635]) ).

thf(846,plain,
    ( ( ! [A4: set_Sum_sum_c_c,B4: set_Sum_sum_c_c,Nu3: produc190496183real_c,Omega: produc190496183real_c] :
          ( ( ord_le1772180283um_c_c @ A4 @ B4 )
         => ( ( denota1997846518gree_c @ Nu3 @ Omega @ B4 )
           => ( denota1997846518gree_c @ Nu3 @ Omega @ A4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[634]) ).

thf(847,plain,
    ( ( ! [Nu3: produc190496183real_c,I: denota231621370t_unit,ODE: oDE_a_c,Sol: finite1398487019real_c] :
        ? [Omega2: produc190496183real_c] :
          ( ( denota1997846518gree_c @ Omega2 @ Nu3 @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ I @ ODE ) ) )
          & ( denota1997846518gree_c @ Omega2 @ ( denota1896987029_a_b_c @ I @ ODE @ Sol ) @ ( denota1293057250_a_b_c @ I @ ODE ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[633]) ).

thf(848,plain,
    ( ( uminus1737280820real_c
      = ( ^ [X3: finite1398487019real_c] :
            ( finite557796307c_real
            @ ^ [I2: c] : ( uminus_uminus_real @ ( finite772340578real_c @ X3 @ I2 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[632]) ).

thf(849,plain,
    ( ( uminus17964590real_c
      = ( ^ [X3: produc190496183real_c] : ( produc394644079real_c @ ( uminus1737280820real_c @ ( produc2010422875real_c @ X3 ) ) @ ( uminus1737280820real_c @ ( produc314122909real_c @ X3 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[631]) ).

thf(850,plain,
    ( ( uminus1225118734um_c_c
      = ( ^ [X3: produc214722967um_c_c] : ( produc1439061071um_c_c @ ( uminus1381786404um_c_c @ ( produc1983230011um_c_c @ X3 ) ) @ ( uminus1381786404um_c_c @ ( produc1132019837um_c_c @ X3 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[630]) ).

thf(851,plain,
    ( ( ! [I: denota231621370t_unit,ODE: oDE_a_c,Nu3: produc190496183real_c,Sol: finite1398487019real_c] :
          ( ( denota1997846518gree_c @ ( denota161327353_a_b_c @ I @ ODE @ Nu3 @ Sol ) @ Nu3 @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ I @ ODE ) ) )
          & ( denota1997846518gree_c @ ( denota161327353_a_b_c @ I @ ODE @ Nu3 @ Sol ) @ ( denota1896987029_a_b_c @ I @ ODE @ Sol ) @ ( denota1293057250_a_b_c @ I @ ODE ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[629]) ).

thf(852,plain,
    ( ( ! [X: denota231621370t_unit,Xa: oDE_a_c,Xb: finite1398487019real_c,Y: produc190496183real_c] :
          ( ( ( denota1896987029_a_b_c @ X @ Xa @ Xb )
            = Y )
         => ( Y
            = ( produc394644079real_c @ Xb @ ( denota1275485728_a_b_c @ X @ Xa @ Xb ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[628]) ).

thf(853,plain,
    ( ( denota1896987029_a_b_c
      = ( ^ [I5: denota231621370t_unit,ODE2: oDE_a_c,Sol2: finite1398487019real_c] : ( produc394644079real_c @ Sol2 @ ( denota1275485728_a_b_c @ I5 @ ODE2 @ Sol2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[627]) ).

thf(854,plain,
    ( ( ! [X: real] :
          ( ( zero_zero_real = X )
          = ( X = zero_zero_real ) ) )
    = $true ),
    inference(copy,[status(thm)],[626]) ).

thf(855,plain,
    ( ( ! [Nu3: produc190496183real_c,A4: set_Sum_sum_c_c] : ( denota1997846518gree_c @ Nu3 @ Nu3 @ A4 ) )
    = $true ),
    inference(copy,[status(thm)],[625]) ).

thf(856,plain,
    ( ( ! [A4: produc190496183real_c,B4: produc190496183real_c,V2: set_Sum_sum_c_c] :
          ( ( denota1997846518gree_c @ A4 @ B4 @ V2 )
         => ( denota1997846518gree_c @ B4 @ A4 @ V2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[624]) ).

thf(857,plain,
    ( ( ! [X: finite1398487019real_c,X5: finite1398487019real_c,Y: finite1398487019real_c,Y6: finite1398487019real_c] :
          ( ( ord_le775706699real_c @ X @ X5 )
         => ( ( ord_le775706699real_c @ Y @ Y6 )
           => ( ord_le850691415real_c @ ( produc394644079real_c @ X @ Y ) @ ( produc394644079real_c @ X5 @ Y6 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[623]) ).

thf(858,plain,
    ( ( ! [X: real,X5: real,Y: real,Y6: real] :
          ( ( ord_less_eq_real @ X @ X5 )
         => ( ( ord_less_eq_real @ Y @ Y6 )
           => ( ord_le1342644953l_real @ ( produc705216881l_real @ X @ Y ) @ ( produc705216881l_real @ X5 @ Y6 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[622]) ).

thf(859,plain,
    ( ( ! [X: produc190496183real_c,Y: produc190496183real_c] :
          ( ( ord_le850691415real_c @ X @ Y )
         => ( ord_le775706699real_c @ ( produc2010422875real_c @ X ) @ ( produc2010422875real_c @ Y ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[621]) ).

thf(860,plain,
    ( ( ! [X: produc190496183real_c,Y: produc190496183real_c] :
          ( ( ord_le850691415real_c @ X @ Y )
         => ( ord_le775706699real_c @ ( produc314122909real_c @ X ) @ ( produc314122909real_c @ Y ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[620]) ).

thf(861,plain,
    ( ( ord_le850691415real_c
      = ( ^ [X3: produc190496183real_c,Y3: produc190496183real_c] :
            ( ( ord_le775706699real_c @ ( produc2010422875real_c @ X3 ) @ ( produc2010422875real_c @ Y3 ) )
            & ( ord_le775706699real_c @ ( produc314122909real_c @ X3 ) @ ( produc314122909real_c @ Y3 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[619]) ).

thf(862,plain,
    ( ( ord_le1342644953l_real
      = ( ^ [X3: produc957004601l_real,Y3: produc957004601l_real] :
            ( ( ord_less_eq_real @ ( produc1422991709l_real @ X3 ) @ ( produc1422991709l_real @ Y3 ) )
            & ( ord_less_eq_real @ ( produc1407670175l_real @ X3 ) @ ( produc1407670175l_real @ Y3 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[618]) ).

thf(863,plain,
    ( ( ! [X: c,I: denota231621370t_unit,ODE: oDE_a_c] :
          ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ X ) @ ( denota1293057250_a_b_c @ I @ ODE ) )
          = ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ X ) @ ( denota1293057250_a_b_c @ I @ ODE ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[617]) ).

thf(864,plain,
    ( ( ( osafe_a_c @ oDEa )
     => ( ( fsafe_a_b_c @ phi )
       => ( ( ode = oDEa )
         => ( ( p = phi )
           => ( ( ord_less_eq_real @ zero_zero_real @ t )
             => ( ( ( produc394644079real_c @ aa @ ba )
                  = ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
               => ( ( initia1631504802real_c @ sol
                    @ ^ [X6: real] : ( denota1275485728_a_b_c @ i @ oDEa )
                    @ ( set_or656347191t_real @ zero_zero_real @ t )
                    @ ( collec230941376real_c
                      @ ^ [X3: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ X3 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) )
                 => ( ( denota256060419gree_c @ ( sol @ zero_zero_real ) @ ab
                      @ ( collect_c
                        @ ^ [Uu: c] :
                            ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ Uu ) @ ( static_BVO_a_c @ oDEa ) )
                            | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ Uu ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( static_FVO_a_c @ oDEa ) ) )
                            | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ Uu ) @ ( static_FVF_a_b_c @ phi ) ) ) ) )
                   => ( ab
                      = ( finite557796307c_real
                        @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) ) ) ) ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[616]) ).

thf(865,plain,
    ( ( ( osafe_a_c @ oDEa )
     => ( ( fsafe_a_b_c @ phi )
       => ( ( ode = oDEa )
         => ( ( p = phi )
           => ( ( ord_less_eq_real @ zero_zero_real @ t )
             => ( ( ( produc394644079real_c @ aa @ ba )
                  = ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
               => ( ( initia1631504802real_c @ sol
                    @ ^ [X6: real] : ( denota1275485728_a_b_c @ i @ oDEa )
                    @ ( set_or656347191t_real @ zero_zero_real @ t )
                    @ ( collec230941376real_c
                      @ ^ [X3: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ X3 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) )
                 => ( ( denota256060419gree_c @ ( sol @ zero_zero_real ) @ ab
                      @ ( collect_c
                        @ ^ [Uu: c] :
                            ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ Uu ) @ ( static_BVO_a_c @ oDEa ) )
                            | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ Uu ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( static_FVO_a_c @ oDEa ) ) )
                            | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ Uu ) @ ( static_FVF_a_b_c @ phi ) ) ) ) )
                   => ( ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) )
                      = ( denota161327353_a_b_c @ i @ oDEa
                        @ ( produc394644079real_c
                          @ ( finite557796307c_real
                            @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) )
                          @ bb )
                        @ ( finite557796307c_real
                          @ ^ [I2: c] : ( if_real @ ( member_c @ I2 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ t ) @ I2 ) @ ( finite772340578real_c @ ab @ I2 ) ) ) ) ) ) ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[615]) ).

thf(866,plain,
    ( ( ( osafe_a_c @ oDEa )
     => ( ( fsafe_a_b_c @ phi )
       => ( ( ode = oDEa )
         => ( ( p = phi )
           => ( ( ord_less_eq_real @ zero_zero_real @ t )
             => ( ( ( produc394644079real_c @ aa @ ba )
                  = ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
               => ( ( initia1631504802real_c @ sol
                    @ ^ [X6: real] : ( denota1275485728_a_b_c @ i @ oDEa )
                    @ ( set_or656347191t_real @ zero_zero_real @ t )
                    @ ( collec230941376real_c
                      @ ^ [X3: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ X3 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) )
                 => ( ( denota256060419gree_c @ ( sol @ zero_zero_real ) @ ab
                      @ ( collect_c
                        @ ^ [Uu: c] :
                            ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ Uu ) @ ( static_BVO_a_c @ oDEa ) )
                            | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ Uu ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( static_FVO_a_c @ oDEa ) ) )
                            | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ Uu ) @ ( static_FVF_a_b_c @ phi ) ) ) ) )
                   => ( ord_less_eq_real @ zero_zero_real @ t ) ) ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[614]) ).

thf(867,plain,
    ( ( member1321351885real_c @ sol
      @ ( pi_rea1111636068real_c @ ( set_or656347191t_real @ zero_zero_real @ t )
        @ ^ [Uu: real] :
            ( collec230941376real_c
            @ ^ [X3: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ X3 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[613]) ).

thf(868,plain,
    ( ( ! [X: set_Sum_sum_c_c,Y: set_Sum_sum_c_c] :
          ( ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ X ) @ ( uminus1381786404um_c_c @ Y ) )
          = ( ord_le1772180283um_c_c @ Y @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[612]) ).

thf(869,plain,
    ( ( ! [Nu3: produc190496183real_c,I: denota231621370t_unit,A4: formula_a_b_c,B4: formula_a_b_c] :
          ( ( member1895684704real_c @ Nu3 @ ( denota968303861_a_b_c @ I @ ( equiv_a_b_c @ A4 @ B4 ) ) )
          = ( ( member1895684704real_c @ Nu3 @ ( denota968303861_a_b_c @ I @ A4 ) )
            = ( member1895684704real_c @ Nu3 @ ( denota968303861_a_b_c @ I @ B4 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[611]) ).

thf(870,plain,
    ( ( ! [X: set_Sum_sum_c_c] :
          ( ( uminus1381786404um_c_c @ ( uminus1381786404um_c_c @ X ) )
          = X ) )
    = $true ),
    inference(copy,[status(thm)],[610]) ).

thf(871,plain,
    ( ( ! [X: set_Sum_sum_c_c,Y: set_Sum_sum_c_c] :
          ( ( ( uminus1381786404um_c_c @ X )
            = ( uminus1381786404um_c_c @ Y ) )
          = ( X = Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[609]) ).

thf(872,plain,
    ( ( ! [A4: set_c,B4: set_c,Nu3: finite1398487019real_c,Omega: finite1398487019real_c] :
          ( ( ord_less_eq_set_c @ A4 @ B4 )
         => ( ( denota256060419gree_c @ Nu3 @ Omega @ B4 )
           => ( denota256060419gree_c @ Nu3 @ Omega @ A4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[608]) ).

thf(873,plain,
    ( ( ! [B4: set_c,A4: set_c,Nu3: finite1398487019real_c,Nu4: finite1398487019real_c] :
          ( ( ord_less_eq_set_c @ B4 @ A4 )
         => ( ( denota256060419gree_c @ Nu3 @ Nu4 @ A4 )
           => ( denota256060419gree_c @ Nu3 @ Nu4 @ B4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[607]) ).

thf(874,plain,
    ( ( ! [Nu3: finite1398487019real_c,A4: set_c] : ( denota256060419gree_c @ Nu3 @ Nu3 @ A4 ) )
    = $true ),
    inference(copy,[status(thm)],[606]) ).

thf(875,plain,
    ( ( denota256060419gree_c
      = ( ^ [Nu: finite1398487019real_c,Nu2: finite1398487019real_c,V: set_c] :
          ! [X3: c] :
            ( ( member_c @ X3 @ V )
           => ( ( finite772340578real_c @ Nu @ X3 )
              = ( finite772340578real_c @ Nu2 @ X3 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[605]) ).

thf(876,plain,
    ( ( ! [X: set_Sum_sum_c_c,Y: set_Sum_sum_c_c] :
          ( ( ord_le1772180283um_c_c @ X @ Y )
         => ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ Y ) @ ( uminus1381786404um_c_c @ X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[604]) ).

thf(877,plain,
    ( ( ! [Y: set_Sum_sum_c_c,X: set_Sum_sum_c_c] :
          ( ( ord_le1772180283um_c_c @ Y @ ( uminus1381786404um_c_c @ X ) )
         => ( ord_le1772180283um_c_c @ X @ ( uminus1381786404um_c_c @ Y ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[603]) ).

thf(878,plain,
    ( ( ! [Y: set_Sum_sum_c_c,X: set_Sum_sum_c_c] :
          ( ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ Y ) @ X )
         => ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ X ) @ Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[602]) ).

thf(879,plain,
    ( ( ! [X: real,Y: real] :
          ( ( image_real_real @ uminus_uminus_real @ ( set_or656347191t_real @ X @ Y ) )
          = ( set_or656347191t_real @ ( uminus_uminus_real @ Y ) @ ( uminus_uminus_real @ X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[601]) ).

thf(880,plain,
    ( ( ! [A: real,B: real,C: real,D: real] :
          ( ( ord_less_eq_set_real @ ( set_or656347191t_real @ A @ B ) @ ( set_or656347191t_real @ C @ D ) )
          = ( ~ ( ord_less_eq_real @ A @ B )
            | ( ( ord_less_eq_real @ C @ A )
              & ( ord_less_eq_real @ B @ D ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[600]) ).

thf(881,plain,
    ( ( ! [A4: set_Sum_sum_c_c,B4: set_Sum_sum_c_c] :
          ( ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ A4 ) @ ( uminus1381786404um_c_c @ B4 ) )
          = ( ord_le1772180283um_c_c @ B4 @ A4 ) ) )
    = $true ),
    inference(copy,[status(thm)],[599]) ).

thf(882,plain,
    ( ( ! [A4: set_Sum_sum_c_c,B4: set_Sum_sum_c_c] :
          ( ( ord_le1772180283um_c_c @ A4 @ B4 )
         => ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ B4 ) @ ( uminus1381786404um_c_c @ A4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[598]) ).

thf(883,plain,
    ( ( ! [B: c,F: c > c,X: c,A4: set_c] :
          ( ( B
            = ( F @ X ) )
         => ( ( member_c @ X @ A4 )
           => ( member_c @ B @ ( image_c_c @ F @ A4 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[597]) ).

thf(884,plain,
    ( ( ! [B: c,F: sum_sum_c_c > c,X: sum_sum_c_c,A4: set_Sum_sum_c_c] :
          ( ( B
            = ( F @ X ) )
         => ( ( member_Sum_sum_c_c @ X @ A4 )
           => ( member_c @ B @ ( image_Sum_sum_c_c_c @ F @ A4 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[596]) ).

thf(885,plain,
    ( ( ! [B: sum_sum_c_c,F: c > sum_sum_c_c,X: c,A4: set_c] :
          ( ( B
            = ( F @ X ) )
         => ( ( member_c @ X @ A4 )
           => ( member_Sum_sum_c_c @ B @ ( image_c_Sum_sum_c_c @ F @ A4 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[595]) ).

thf(886,plain,
    ( ( ! [B: sum_sum_c_d,F: c > sum_sum_c_d,X: c,A4: set_c] :
          ( ( B
            = ( F @ X ) )
         => ( ( member_c @ X @ A4 )
           => ( member_Sum_sum_c_d @ B @ ( image_c_Sum_sum_c_d @ F @ A4 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[594]) ).

thf(887,plain,
    ( ( ! [B: c,F: sum_sum_c_d > c,X: sum_sum_c_d,A4: set_Sum_sum_c_d] :
          ( ( B
            = ( F @ X ) )
         => ( ( member_Sum_sum_c_d @ X @ A4 )
           => ( member_c @ B @ ( image_Sum_sum_c_d_c @ F @ A4 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[593]) ).

thf(888,plain,
    ( ( ! [B: sum_sum_c_c,F: sum_sum_c_c > sum_sum_c_c,X: sum_sum_c_c,A4: set_Sum_sum_c_c] :
          ( ( B
            = ( F @ X ) )
         => ( ( member_Sum_sum_c_c @ X @ A4 )
           => ( member_Sum_sum_c_c @ B @ ( image_666880337um_c_c @ F @ A4 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[592]) ).

thf(889,plain,
    ( ( ! [B: sum_sum_c_d,F: sum_sum_c_c > sum_sum_c_d,X: sum_sum_c_c,A4: set_Sum_sum_c_c] :
          ( ( B
            = ( F @ X ) )
         => ( ( member_Sum_sum_c_c @ X @ A4 )
           => ( member_Sum_sum_c_d @ B @ ( image_675141842um_c_d @ F @ A4 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[591]) ).

thf(890,plain,
    ( ( ! [B: real > finite1398487019real_c,F: c > real > finite1398487019real_c,X: c,A4: set_c] :
          ( ( B
            = ( F @ X ) )
         => ( ( member_c @ X @ A4 )
           => ( member1321351885real_c @ B @ ( image_1226855921real_c @ F @ A4 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[590]) ).

thf(891,plain,
    ( ( ! [B: sum_sum_c_c,F: sum_sum_c_d > sum_sum_c_c,X: sum_sum_c_d,A4: set_Sum_sum_c_d] :
          ( ( B
            = ( F @ X ) )
         => ( ( member_Sum_sum_c_d @ X @ A4 )
           => ( member_Sum_sum_c_c @ B @ ( image_1558941394um_c_c @ F @ A4 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[589]) ).

thf(892,plain,
    ( ( ! [B: sum_sum_c_d,F: sum_sum_c_d > sum_sum_c_d,X: sum_sum_c_d,A4: set_Sum_sum_c_d] :
          ( ( B
            = ( F @ X ) )
         => ( ( member_Sum_sum_c_d @ X @ A4 )
           => ( member_Sum_sum_c_d @ B @ ( image_1567202899um_c_d @ F @ A4 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[588]) ).

thf(893,plain,
    ( ( ! [A4: set_Sum_sum_c_c,B4: set_Sum_sum_c_c] :
          ( ! [X4: sum_sum_c_c] :
              ( ( member_Sum_sum_c_c @ X4 @ A4 )
             => ( member_Sum_sum_c_c @ X4 @ B4 ) )
         => ( ord_le1772180283um_c_c @ A4 @ B4 ) ) )
    = $true ),
    inference(copy,[status(thm)],[587]) ).

thf(894,plain,
    ( ( ! [A4: set_c,B4: set_c] :
          ( ! [X4: c] :
              ( ( member_c @ X4 @ A4 )
             => ( member_c @ X4 @ B4 ) )
         => ( ord_less_eq_set_c @ A4 @ B4 ) ) )
    = $true ),
    inference(copy,[status(thm)],[586]) ).

thf(895,plain,
    ( ( ! [A4: set_Sum_sum_c_d,B4: set_Sum_sum_c_d] :
          ( ! [X4: sum_sum_c_d] :
              ( ( member_Sum_sum_c_d @ X4 @ A4 )
             => ( member_Sum_sum_c_d @ X4 @ B4 ) )
         => ( ord_le764260924um_c_d @ A4 @ B4 ) ) )
    = $true ),
    inference(copy,[status(thm)],[585]) ).

thf(896,plain,
    ( ( ! [A4: set_Pr1389752855real_c,B4: set_Pr1389752855real_c] :
          ( ! [X4: produc190496183real_c] :
              ( ( member1895684704real_c @ X4 @ A4 )
             => ( member1895684704real_c @ X4 @ B4 ) )
         => ( ord_le977353143real_c @ A4 @ B4 ) ) )
    = $true ),
    inference(copy,[status(thm)],[584]) ).

thf(897,plain,
    ( ( ! [A4: set_re2066790124real_c,B4: set_re2066790124real_c] :
          ( ! [X4: real > finite1398487019real_c] :
              ( ( member1321351885real_c @ X4 @ A4 )
             => ( member1321351885real_c @ X4 @ B4 ) )
         => ( ord_le35002188real_c @ A4 @ B4 ) ) )
    = $true ),
    inference(copy,[status(thm)],[583]) ).

thf(898,plain,
    ( ( ! [A4: set_Sum_sum_c_c,B4: set_Sum_sum_c_c] :
          ( ( ( uminus1381786404um_c_c @ A4 )
            = ( uminus1381786404um_c_c @ B4 ) )
          = ( A4 = B4 ) ) )
    = $true ),
    inference(copy,[status(thm)],[582]) ).

thf(899,plain,
    ( ( ! [C: c,A4: set_c] :
          ( ( member_c @ C @ ( uminus_uminus_set_c @ A4 ) )
          = ( ~ ( member_c @ C @ A4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[581]) ).

thf(900,plain,
    ( ( ! [C: sum_sum_c_d,A4: set_Sum_sum_c_d] :
          ( ( member_Sum_sum_c_d @ C @ ( uminus373867045um_c_d @ A4 ) )
          = ( ~ ( member_Sum_sum_c_d @ C @ A4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[580]) ).

thf(901,plain,
    ( ( ! [C: produc190496183real_c,A4: set_Pr1389752855real_c] :
          ( ( member1895684704real_c @ C @ ( uminus232257166real_c @ A4 ) )
          = ( ~ ( member1895684704real_c @ C @ A4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[579]) ).

thf(902,plain,
    ( ( ! [C: real > finite1398487019real_c,A4: set_re2066790124real_c] :
          ( ( member1321351885real_c @ C @ ( uminus946614837real_c @ A4 ) )
          = ( ~ ( member1321351885real_c @ C @ A4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[578]) ).

thf(903,plain,
    ( ( ! [C: sum_sum_c_c,A4: set_Sum_sum_c_c] :
          ( ( member_Sum_sum_c_c @ C @ ( uminus1381786404um_c_c @ A4 ) )
          = ( ~ ( member_Sum_sum_c_c @ C @ A4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[577]) ).

thf(904,plain,
    ( ( ! [C: c,A4: set_c] :
          ( ~ ( member_c @ C @ A4 )
         => ( member_c @ C @ ( uminus_uminus_set_c @ A4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[576]) ).

thf(905,plain,
    ( ( ! [C: sum_sum_c_d,A4: set_Sum_sum_c_d] :
          ( ~ ( member_Sum_sum_c_d @ C @ A4 )
         => ( member_Sum_sum_c_d @ C @ ( uminus373867045um_c_d @ A4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[575]) ).

thf(906,plain,
    ( ( ! [C: produc190496183real_c,A4: set_Pr1389752855real_c] :
          ( ~ ( member1895684704real_c @ C @ A4 )
         => ( member1895684704real_c @ C @ ( uminus232257166real_c @ A4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[574]) ).

thf(907,plain,
    ( ( ! [C: real > finite1398487019real_c,A4: set_re2066790124real_c] :
          ( ~ ( member1321351885real_c @ C @ A4 )
         => ( member1321351885real_c @ C @ ( uminus946614837real_c @ A4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[573]) ).

thf(908,plain,
    ( ( ! [C: sum_sum_c_c,A4: set_Sum_sum_c_c] :
          ( ~ ( member_Sum_sum_c_c @ C @ A4 )
         => ( member_Sum_sum_c_c @ C @ ( uminus1381786404um_c_c @ A4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[572]) ).

thf(909,plain,
    ( ( ! [L: real,H: real,L2: real,H2: real] :
          ( ( ( set_or656347191t_real @ L @ H )
            = ( set_or656347191t_real @ L2 @ H2 ) )
          = ( ( ( L = L2 )
              & ( H = H2 ) )
            | ( ~ ( ord_less_eq_real @ L @ H )
              & ~ ( ord_less_eq_real @ L2 @ H2 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[571]) ).

thf(910,plain,
    ( ( ! [I3: produc190496183real_c,L: produc190496183real_c,U: produc190496183real_c] :
          ( ( member1895684704real_c @ I3 @ ( set_or385782508real_c @ L @ U ) )
          = ( ( ord_le850691415real_c @ L @ I3 )
            & ( ord_le850691415real_c @ I3 @ U ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[570]) ).

thf(911,plain,
    ( ( ! [I3: real > finite1398487019real_c,L: real > finite1398487019real_c,U: real > finite1398487019real_c] :
          ( ( member1321351885real_c @ I3 @ ( set_or1308937537real_c @ L @ U ) )
          = ( ( ord_le584953750real_c @ L @ I3 )
            & ( ord_le584953750real_c @ I3 @ U ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[569]) ).

thf(912,plain,
    ( ( ! [I3: real,L: real,U: real] :
          ( ( member_real @ I3 @ ( set_or656347191t_real @ L @ U ) )
          = ( ( ord_less_eq_real @ L @ I3 )
            & ( ord_less_eq_real @ I3 @ U ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[568]) ).

thf(913,plain,
    ( ( ! [X: c,A4: set_c,F: c > c] :
          ( ( member_c @ X @ A4 )
         => ( member_c @ ( F @ X ) @ ( image_c_c @ F @ A4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[567]) ).

thf(914,plain,
    ( ( ! [X: sum_sum_c_c,A4: set_Sum_sum_c_c,F: sum_sum_c_c > c] :
          ( ( member_Sum_sum_c_c @ X @ A4 )
         => ( member_c @ ( F @ X ) @ ( image_Sum_sum_c_c_c @ F @ A4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[566]) ).

thf(915,plain,
    ( ( ! [X: c,A4: set_c,F: c > sum_sum_c_c] :
          ( ( member_c @ X @ A4 )
         => ( member_Sum_sum_c_c @ ( F @ X ) @ ( image_c_Sum_sum_c_c @ F @ A4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[565]) ).

thf(916,plain,
    ( ( ! [X: c,A4: set_c,F: c > sum_sum_c_d] :
          ( ( member_c @ X @ A4 )
         => ( member_Sum_sum_c_d @ ( F @ X ) @ ( image_c_Sum_sum_c_d @ F @ A4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[564]) ).

thf(917,plain,
    ( ( ! [X: sum_sum_c_d,A4: set_Sum_sum_c_d,F: sum_sum_c_d > c] :
          ( ( member_Sum_sum_c_d @ X @ A4 )
         => ( member_c @ ( F @ X ) @ ( image_Sum_sum_c_d_c @ F @ A4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[563]) ).

thf(918,plain,
    ( ( ! [X: sum_sum_c_c,A4: set_Sum_sum_c_c,F: sum_sum_c_c > sum_sum_c_c] :
          ( ( member_Sum_sum_c_c @ X @ A4 )
         => ( member_Sum_sum_c_c @ ( F @ X ) @ ( image_666880337um_c_c @ F @ A4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[562]) ).

thf(919,plain,
    ( ( ! [X: sum_sum_c_c,A4: set_Sum_sum_c_c,F: sum_sum_c_c > sum_sum_c_d] :
          ( ( member_Sum_sum_c_c @ X @ A4 )
         => ( member_Sum_sum_c_d @ ( F @ X ) @ ( image_675141842um_c_d @ F @ A4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[561]) ).

thf(920,plain,
    ( ( ! [X: c,A4: set_c,F: c > real > finite1398487019real_c] :
          ( ( member_c @ X @ A4 )
         => ( member1321351885real_c @ ( F @ X ) @ ( image_1226855921real_c @ F @ A4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[560]) ).

thf(921,plain,
    ( ( ! [X: sum_sum_c_d,A4: set_Sum_sum_c_d,F: sum_sum_c_d > sum_sum_c_c] :
          ( ( member_Sum_sum_c_d @ X @ A4 )
         => ( member_Sum_sum_c_c @ ( F @ X ) @ ( image_1558941394um_c_c @ F @ A4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[559]) ).

thf(922,plain,
    ( ( ! [X: sum_sum_c_d,A4: set_Sum_sum_c_d,F: sum_sum_c_d > sum_sum_c_d] :
          ( ( member_Sum_sum_c_d @ X @ A4 )
         => ( member_Sum_sum_c_d @ ( F @ X ) @ ( image_1567202899um_c_d @ F @ A4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[558]) ).

thf(923,plain,
    ( ( ! [Z2: sum_sum_c_c,F: c > sum_sum_c_c,A4: set_c] :
          ( ( member_Sum_sum_c_c @ Z2 @ ( image_c_Sum_sum_c_c @ F @ A4 ) )
          = ( ? [X3: c] :
                ( ( member_c @ X3 @ A4 )
                & ( Z2
                  = ( F @ X3 ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[557]) ).

thf(924,plain,
    ( ( ! [Z2: sum_sum_c_d,F: c > sum_sum_c_d,A4: set_c] :
          ( ( member_Sum_sum_c_d @ Z2 @ ( image_c_Sum_sum_c_d @ F @ A4 ) )
          = ( ? [X3: c] :
                ( ( member_c @ X3 @ A4 )
                & ( Z2
                  = ( F @ X3 ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[556]) ).

thf(925,plain,
    ( ( ! [F: c > sum_sum_c_c,A4: set_c,P: sum_sum_c_c > $o] :
          ( ? [X7: sum_sum_c_c] :
              ( ( member_Sum_sum_c_c @ X7 @ ( image_c_Sum_sum_c_c @ F @ A4 ) )
              & ( P @ X7 ) )
         => ? [X4: c] :
              ( ( member_c @ X4 @ A4 )
              & ( P @ ( F @ X4 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[555]) ).

thf(926,plain,
    ( ( ! [F: c > sum_sum_c_d,A4: set_c,P: sum_sum_c_d > $o] :
          ( ? [X7: sum_sum_c_d] :
              ( ( member_Sum_sum_c_d @ X7 @ ( image_c_Sum_sum_c_d @ F @ A4 ) )
              & ( P @ X7 ) )
         => ? [X4: c] :
              ( ( member_c @ X4 @ A4 )
              & ( P @ ( F @ X4 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[554]) ).

thf(927,plain,
    ( ( ! [M: set_c,N: set_c,F: c > sum_sum_c_c,G: c > sum_sum_c_c] :
          ( ( M = N )
         => ( ! [X4: c] :
                ( ( member_c @ X4 @ N )
               => ( ( F @ X4 )
                  = ( G @ X4 ) ) )
           => ( ( image_c_Sum_sum_c_c @ F @ M )
              = ( image_c_Sum_sum_c_c @ G @ N ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[553]) ).

thf(928,plain,
    ( ( ! [M: set_c,N: set_c,F: c > sum_sum_c_d,G: c > sum_sum_c_d] :
          ( ( M = N )
         => ( ! [X4: c] :
                ( ( member_c @ X4 @ N )
               => ( ( F @ X4 )
                  = ( G @ X4 ) ) )
           => ( ( image_c_Sum_sum_c_d @ F @ M )
              = ( image_c_Sum_sum_c_d @ G @ N ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[552]) ).

thf(929,plain,
    ( ( ! [F: c > sum_sum_c_c,A4: set_c,P: sum_sum_c_c > $o] :
          ( ! [X4: sum_sum_c_c] :
              ( ( member_Sum_sum_c_c @ X4 @ ( image_c_Sum_sum_c_c @ F @ A4 ) )
             => ( P @ X4 ) )
         => ! [X7: c] :
              ( ( member_c @ X7 @ A4 )
             => ( P @ ( F @ X7 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[551]) ).

thf(930,plain,
    ( ( ! [F: c > sum_sum_c_d,A4: set_c,P: sum_sum_c_d > $o] :
          ( ! [X4: sum_sum_c_d] :
              ( ( member_Sum_sum_c_d @ X4 @ ( image_c_Sum_sum_c_d @ F @ A4 ) )
             => ( P @ X4 ) )
         => ! [X7: c] :
              ( ( member_c @ X7 @ A4 )
             => ( P @ ( F @ X7 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[550]) ).

thf(931,plain,
    ( ( ! [X: c,A4: set_c,B: c,F: c > c] :
          ( ( member_c @ X @ A4 )
         => ( ( B
              = ( F @ X ) )
           => ( member_c @ B @ ( image_c_c @ F @ A4 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[549]) ).

thf(932,plain,
    ( ( ! [X: sum_sum_c_c,A4: set_Sum_sum_c_c,B: c,F: sum_sum_c_c > c] :
          ( ( member_Sum_sum_c_c @ X @ A4 )
         => ( ( B
              = ( F @ X ) )
           => ( member_c @ B @ ( image_Sum_sum_c_c_c @ F @ A4 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[548]) ).

thf(933,plain,
    ( ( ! [X: c,A4: set_c,B: sum_sum_c_c,F: c > sum_sum_c_c] :
          ( ( member_c @ X @ A4 )
         => ( ( B
              = ( F @ X ) )
           => ( member_Sum_sum_c_c @ B @ ( image_c_Sum_sum_c_c @ F @ A4 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[547]) ).

thf(934,plain,
    ( ( ! [X: c,A4: set_c,B: sum_sum_c_d,F: c > sum_sum_c_d] :
          ( ( member_c @ X @ A4 )
         => ( ( B
              = ( F @ X ) )
           => ( member_Sum_sum_c_d @ B @ ( image_c_Sum_sum_c_d @ F @ A4 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[546]) ).

thf(935,plain,
    ( ( ! [X: sum_sum_c_d,A4: set_Sum_sum_c_d,B: c,F: sum_sum_c_d > c] :
          ( ( member_Sum_sum_c_d @ X @ A4 )
         => ( ( B
              = ( F @ X ) )
           => ( member_c @ B @ ( image_Sum_sum_c_d_c @ F @ A4 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[545]) ).

thf(936,plain,
    ( ( ! [X: sum_sum_c_c,A4: set_Sum_sum_c_c,B: sum_sum_c_c,F: sum_sum_c_c > sum_sum_c_c] :
          ( ( member_Sum_sum_c_c @ X @ A4 )
         => ( ( B
              = ( F @ X ) )
           => ( member_Sum_sum_c_c @ B @ ( image_666880337um_c_c @ F @ A4 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[544]) ).

thf(937,plain,
    ( ( ! [X: sum_sum_c_c,A4: set_Sum_sum_c_c,B: sum_sum_c_d,F: sum_sum_c_c > sum_sum_c_d] :
          ( ( member_Sum_sum_c_c @ X @ A4 )
         => ( ( B
              = ( F @ X ) )
           => ( member_Sum_sum_c_d @ B @ ( image_675141842um_c_d @ F @ A4 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[543]) ).

thf(938,plain,
    ( ( ! [X: c,A4: set_c,B: real > finite1398487019real_c,F: c > real > finite1398487019real_c] :
          ( ( member_c @ X @ A4 )
         => ( ( B
              = ( F @ X ) )
           => ( member1321351885real_c @ B @ ( image_1226855921real_c @ F @ A4 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[542]) ).

thf(939,plain,
    ( ( ! [X: sum_sum_c_d,A4: set_Sum_sum_c_d,B: sum_sum_c_c,F: sum_sum_c_d > sum_sum_c_c] :
          ( ( member_Sum_sum_c_d @ X @ A4 )
         => ( ( B
              = ( F @ X ) )
           => ( member_Sum_sum_c_c @ B @ ( image_1558941394um_c_c @ F @ A4 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[541]) ).

thf(940,plain,
    ( ( ! [X: sum_sum_c_d,A4: set_Sum_sum_c_d,B: sum_sum_c_d,F: sum_sum_c_d > sum_sum_c_d] :
          ( ( member_Sum_sum_c_d @ X @ A4 )
         => ( ( B
              = ( F @ X ) )
           => ( member_Sum_sum_c_d @ B @ ( image_1567202899um_c_d @ F @ A4 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[540]) ).

thf(941,plain,
    ( ( ! [P: finite1398487019real_c > $o,Q: finite1398487019real_c > $o] :
          ( ( ord_le1327118209real_c @ ( collec230941376real_c @ P ) @ ( collec230941376real_c @ Q ) )
          = ( ! [X3: finite1398487019real_c] :
                ( ( P @ X3 )
               => ( Q @ X3 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[539]) ).

thf(942,plain,
    ( ( ! [P: c > $o,Q: c > $o] :
          ( ( ord_less_eq_set_c @ ( collect_c @ P ) @ ( collect_c @ Q ) )
          = ( ! [X3: c] :
                ( ( P @ X3 )
               => ( Q @ X3 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[538]) ).

thf(943,plain,
    ( ( ! [P: finite1398487019real_c > $o,Q: finite1398487019real_c > $o] :
          ( ! [X4: finite1398487019real_c] :
              ( ( P @ X4 )
             => ( Q @ X4 ) )
         => ( ord_le1327118209real_c @ ( collec230941376real_c @ P ) @ ( collec230941376real_c @ Q ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[537]) ).

thf(944,plain,
    ( ( ! [P: c > $o,Q: c > $o] :
          ( ! [X4: c] :
              ( ( P @ X4 )
             => ( Q @ X4 ) )
         => ( ord_less_eq_set_c @ ( collect_c @ P ) @ ( collect_c @ Q ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[536]) ).

thf(945,plain,
    ( ( ord_le1772180283um_c_c
      = ( ^ [A5: set_Sum_sum_c_c,B5: set_Sum_sum_c_c] :
          ! [T2: sum_sum_c_c] :
            ( ( member_Sum_sum_c_c @ T2 @ A5 )
           => ( member_Sum_sum_c_c @ T2 @ B5 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[535]) ).

thf(946,plain,
    ( ( ord_less_eq_set_c
      = ( ^ [A5: set_c,B5: set_c] :
          ! [T2: c] :
            ( ( member_c @ T2 @ A5 )
           => ( member_c @ T2 @ B5 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[534]) ).

thf(947,plain,
    ( ( ord_le764260924um_c_d
      = ( ^ [A5: set_Sum_sum_c_d,B5: set_Sum_sum_c_d] :
          ! [T2: sum_sum_c_d] :
            ( ( member_Sum_sum_c_d @ T2 @ A5 )
           => ( member_Sum_sum_c_d @ T2 @ B5 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[533]) ).

thf(948,plain,
    ( ( ord_le977353143real_c
      = ( ^ [A5: set_Pr1389752855real_c,B5: set_Pr1389752855real_c] :
          ! [T2: produc190496183real_c] :
            ( ( member1895684704real_c @ T2 @ A5 )
           => ( member1895684704real_c @ T2 @ B5 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[532]) ).

thf(949,plain,
    ( ( ord_le35002188real_c
      = ( ^ [A5: set_re2066790124real_c,B5: set_re2066790124real_c] :
          ! [T2: real > finite1398487019real_c] :
            ( ( member1321351885real_c @ T2 @ A5 )
           => ( member1321351885real_c @ T2 @ B5 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[531]) ).

thf(950,plain,
    ( ( ord_le1772180283um_c_c
      = ( ^ [A5: set_Sum_sum_c_c,B5: set_Sum_sum_c_c] :
          ! [X3: sum_sum_c_c] :
            ( ( member_Sum_sum_c_c @ X3 @ A5 )
           => ( member_Sum_sum_c_c @ X3 @ B5 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[530]) ).

thf(951,plain,
    ( ( ord_less_eq_set_c
      = ( ^ [A5: set_c,B5: set_c] :
          ! [X3: c] :
            ( ( member_c @ X3 @ A5 )
           => ( member_c @ X3 @ B5 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[529]) ).

thf(952,plain,
    ( ( ord_le764260924um_c_d
      = ( ^ [A5: set_Sum_sum_c_d,B5: set_Sum_sum_c_d] :
          ! [X3: sum_sum_c_d] :
            ( ( member_Sum_sum_c_d @ X3 @ A5 )
           => ( member_Sum_sum_c_d @ X3 @ B5 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[528]) ).

thf(953,plain,
    ( ( ord_le977353143real_c
      = ( ^ [A5: set_Pr1389752855real_c,B5: set_Pr1389752855real_c] :
          ! [X3: produc190496183real_c] :
            ( ( member1895684704real_c @ X3 @ A5 )
           => ( member1895684704real_c @ X3 @ B5 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[527]) ).

thf(954,plain,
    ( ( ord_le35002188real_c
      = ( ^ [A5: set_re2066790124real_c,B5: set_re2066790124real_c] :
          ! [X3: real > finite1398487019real_c] :
            ( ( member1321351885real_c @ X3 @ A5 )
           => ( member1321351885real_c @ X3 @ B5 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[526]) ).

thf(955,plain,
    ( ( ! [A4: set_Sum_sum_c_c,B4: set_Sum_sum_c_c,C: sum_sum_c_c] :
          ( ( ord_le1772180283um_c_c @ A4 @ B4 )
         => ( ( member_Sum_sum_c_c @ C @ A4 )
           => ( member_Sum_sum_c_c @ C @ B4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[525]) ).

thf(956,plain,
    ( ( ! [A4: set_c,B4: set_c,C: c] :
          ( ( ord_less_eq_set_c @ A4 @ B4 )
         => ( ( member_c @ C @ A4 )
           => ( member_c @ C @ B4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[524]) ).

thf(957,plain,
    ( ( ! [A4: set_Sum_sum_c_d,B4: set_Sum_sum_c_d,C: sum_sum_c_d] :
          ( ( ord_le764260924um_c_d @ A4 @ B4 )
         => ( ( member_Sum_sum_c_d @ C @ A4 )
           => ( member_Sum_sum_c_d @ C @ B4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[523]) ).

thf(958,plain,
    ( ( ! [A4: set_Pr1389752855real_c,B4: set_Pr1389752855real_c,C: produc190496183real_c] :
          ( ( ord_le977353143real_c @ A4 @ B4 )
         => ( ( member1895684704real_c @ C @ A4 )
           => ( member1895684704real_c @ C @ B4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[522]) ).

thf(959,plain,
    ( ( ! [A4: set_re2066790124real_c,B4: set_re2066790124real_c,C: real > finite1398487019real_c] :
          ( ( ord_le35002188real_c @ A4 @ B4 )
         => ( ( member1321351885real_c @ C @ A4 )
           => ( member1321351885real_c @ C @ B4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[521]) ).

thf(960,plain,
    ( ( ! [A4: set_Sum_sum_c_c,B4: set_Sum_sum_c_c,X: sum_sum_c_c] :
          ( ( ord_le1772180283um_c_c @ A4 @ B4 )
         => ( ( member_Sum_sum_c_c @ X @ A4 )
           => ( member_Sum_sum_c_c @ X @ B4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[520]) ).

thf(961,plain,
    ( ( ! [A4: set_c,B4: set_c,X: c] :
          ( ( ord_less_eq_set_c @ A4 @ B4 )
         => ( ( member_c @ X @ A4 )
           => ( member_c @ X @ B4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[519]) ).

thf(962,plain,
    ( ( ! [A4: set_Sum_sum_c_d,B4: set_Sum_sum_c_d,X: sum_sum_c_d] :
          ( ( ord_le764260924um_c_d @ A4 @ B4 )
         => ( ( member_Sum_sum_c_d @ X @ A4 )
           => ( member_Sum_sum_c_d @ X @ B4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[518]) ).

thf(963,plain,
    ( ( ! [A4: set_Pr1389752855real_c,B4: set_Pr1389752855real_c,X: produc190496183real_c] :
          ( ( ord_le977353143real_c @ A4 @ B4 )
         => ( ( member1895684704real_c @ X @ A4 )
           => ( member1895684704real_c @ X @ B4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[517]) ).

thf(964,plain,
    ( ( ! [A4: set_re2066790124real_c,B4: set_re2066790124real_c,X: real > finite1398487019real_c] :
          ( ( ord_le35002188real_c @ A4 @ B4 )
         => ( ( member1321351885real_c @ X @ A4 )
           => ( member1321351885real_c @ X @ B4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[516]) ).

thf(965,plain,
    ( ( ! [A4: set_Sum_sum_c_c] :
          ( ( uminus1381786404um_c_c @ ( uminus1381786404um_c_c @ A4 ) )
          = A4 ) )
    = $true ),
    inference(copy,[status(thm)],[515]) ).

thf(966,plain,
    ( ( ! [C: c,A4: set_c] :
          ( ( member_c @ C @ ( uminus_uminus_set_c @ A4 ) )
         => ~ ( member_c @ C @ A4 ) ) )
    = $true ),
    inference(copy,[status(thm)],[514]) ).

thf(967,plain,
    ( ( ! [C: sum_sum_c_d,A4: set_Sum_sum_c_d] :
          ( ( member_Sum_sum_c_d @ C @ ( uminus373867045um_c_d @ A4 ) )
         => ~ ( member_Sum_sum_c_d @ C @ A4 ) ) )
    = $true ),
    inference(copy,[status(thm)],[513]) ).

thf(968,plain,
    ( ( ! [C: produc190496183real_c,A4: set_Pr1389752855real_c] :
          ( ( member1895684704real_c @ C @ ( uminus232257166real_c @ A4 ) )
         => ~ ( member1895684704real_c @ C @ A4 ) ) )
    = $true ),
    inference(copy,[status(thm)],[512]) ).

thf(969,plain,
    ( ( ! [C: real > finite1398487019real_c,A4: set_re2066790124real_c] :
          ( ( member1321351885real_c @ C @ ( uminus946614837real_c @ A4 ) )
         => ~ ( member1321351885real_c @ C @ A4 ) ) )
    = $true ),
    inference(copy,[status(thm)],[511]) ).

thf(970,plain,
    ( ( ! [C: sum_sum_c_c,A4: set_Sum_sum_c_c] :
          ( ( member_Sum_sum_c_c @ C @ ( uminus1381786404um_c_c @ A4 ) )
         => ~ ( member_Sum_sum_c_c @ C @ A4 ) ) )
    = $true ),
    inference(copy,[status(thm)],[510]) ).

thf(971,plain,
    ( ( ! [B: c,F: c > c,A4: set_c] :
          ( ( member_c @ B @ ( image_c_c @ F @ A4 ) )
         => ~ ! [X4: c] :
                ( ( B
                  = ( F @ X4 ) )
               => ~ ( member_c @ X4 @ A4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[509]) ).

thf(972,plain,
    ( ( ! [B: sum_sum_c_c,F: c > sum_sum_c_c,A4: set_c] :
          ( ( member_Sum_sum_c_c @ B @ ( image_c_Sum_sum_c_c @ F @ A4 ) )
         => ~ ! [X4: c] :
                ( ( B
                  = ( F @ X4 ) )
               => ~ ( member_c @ X4 @ A4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[508]) ).

thf(973,plain,
    ( ( ! [B: c,F: sum_sum_c_c > c,A4: set_Sum_sum_c_c] :
          ( ( member_c @ B @ ( image_Sum_sum_c_c_c @ F @ A4 ) )
         => ~ ! [X4: sum_sum_c_c] :
                ( ( B
                  = ( F @ X4 ) )
               => ~ ( member_Sum_sum_c_c @ X4 @ A4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[507]) ).

thf(974,plain,
    ( ( ! [B: c,F: sum_sum_c_d > c,A4: set_Sum_sum_c_d] :
          ( ( member_c @ B @ ( image_Sum_sum_c_d_c @ F @ A4 ) )
         => ~ ! [X4: sum_sum_c_d] :
                ( ( B
                  = ( F @ X4 ) )
               => ~ ( member_Sum_sum_c_d @ X4 @ A4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[506]) ).

thf(975,plain,
    ( ( ! [B: sum_sum_c_d,F: c > sum_sum_c_d,A4: set_c] :
          ( ( member_Sum_sum_c_d @ B @ ( image_c_Sum_sum_c_d @ F @ A4 ) )
         => ~ ! [X4: c] :
                ( ( B
                  = ( F @ X4 ) )
               => ~ ( member_c @ X4 @ A4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[505]) ).

thf(976,plain,
    ( ( ! [B: sum_sum_c_c,F: sum_sum_c_c > sum_sum_c_c,A4: set_Sum_sum_c_c] :
          ( ( member_Sum_sum_c_c @ B @ ( image_666880337um_c_c @ F @ A4 ) )
         => ~ ! [X4: sum_sum_c_c] :
                ( ( B
                  = ( F @ X4 ) )
               => ~ ( member_Sum_sum_c_c @ X4 @ A4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[504]) ).

thf(977,plain,
    ( ( ! [B: sum_sum_c_c,F: sum_sum_c_d > sum_sum_c_c,A4: set_Sum_sum_c_d] :
          ( ( member_Sum_sum_c_c @ B @ ( image_1558941394um_c_c @ F @ A4 ) )
         => ~ ! [X4: sum_sum_c_d] :
                ( ( B
                  = ( F @ X4 ) )
               => ~ ( member_Sum_sum_c_d @ X4 @ A4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[503]) ).

thf(978,plain,
    ( ( ! [B: c,F: ( real > finite1398487019real_c ) > c,A4: set_re2066790124real_c] :
          ( ( member_c @ B @ ( image_266490115al_c_c @ F @ A4 ) )
         => ~ ! [X4: real > finite1398487019real_c] :
                ( ( B
                  = ( F @ X4 ) )
               => ~ ( member1321351885real_c @ X4 @ A4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[502]) ).

thf(979,plain,
    ( ( ! [B: sum_sum_c_d,F: sum_sum_c_c > sum_sum_c_d,A4: set_Sum_sum_c_c] :
          ( ( member_Sum_sum_c_d @ B @ ( image_675141842um_c_d @ F @ A4 ) )
         => ~ ! [X4: sum_sum_c_c] :
                ( ( B
                  = ( F @ X4 ) )
               => ~ ( member_Sum_sum_c_c @ X4 @ A4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[501]) ).

thf(980,plain,
    ( ( ! [B: sum_sum_c_d,F: sum_sum_c_d > sum_sum_c_d,A4: set_Sum_sum_c_d] :
          ( ( member_Sum_sum_c_d @ B @ ( image_1567202899um_c_d @ F @ A4 ) )
         => ~ ! [X4: sum_sum_c_d] :
                ( ( B
                  = ( F @ X4 ) )
               => ~ ( member_Sum_sum_c_d @ X4 @ A4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[500]) ).

thf(981,plain,
    ( ( ! [F: sum_sum_c_c > sum_sum_c_c,G: c > sum_sum_c_c,A4: set_c] :
          ( ( image_666880337um_c_c @ F @ ( image_c_Sum_sum_c_c @ G @ A4 ) )
          = ( image_c_Sum_sum_c_c
            @ ^ [X3: c] : ( F @ ( G @ X3 ) )
            @ A4 ) ) )
    = $true ),
    inference(copy,[status(thm)],[499]) ).

thf(982,plain,
    ( ( ! [F: sum_sum_c_c > sum_sum_c_d,G: c > sum_sum_c_c,A4: set_c] :
          ( ( image_675141842um_c_d @ F @ ( image_c_Sum_sum_c_c @ G @ A4 ) )
          = ( image_c_Sum_sum_c_d
            @ ^ [X3: c] : ( F @ ( G @ X3 ) )
            @ A4 ) ) )
    = $true ),
    inference(copy,[status(thm)],[498]) ).

thf(983,plain,
    ( ( ! [F: sum_sum_c_d > sum_sum_c_c,G: c > sum_sum_c_d,A4: set_c] :
          ( ( image_1558941394um_c_c @ F @ ( image_c_Sum_sum_c_d @ G @ A4 ) )
          = ( image_c_Sum_sum_c_c
            @ ^ [X3: c] : ( F @ ( G @ X3 ) )
            @ A4 ) ) )
    = $true ),
    inference(copy,[status(thm)],[497]) ).

thf(984,plain,
    ( ( ! [F: sum_sum_c_d > sum_sum_c_d,G: c > sum_sum_c_d,A4: set_c] :
          ( ( image_1567202899um_c_d @ F @ ( image_c_Sum_sum_c_d @ G @ A4 ) )
          = ( image_c_Sum_sum_c_d
            @ ^ [X3: c] : ( F @ ( G @ X3 ) )
            @ A4 ) ) )
    = $true ),
    inference(copy,[status(thm)],[496]) ).

thf(985,plain,
    ( ( ! [F: c > sum_sum_c_c,G: c > c,A4: set_c] :
          ( ( image_c_Sum_sum_c_c @ F @ ( image_c_c @ G @ A4 ) )
          = ( image_c_Sum_sum_c_c
            @ ^ [X3: c] : ( F @ ( G @ X3 ) )
            @ A4 ) ) )
    = $true ),
    inference(copy,[status(thm)],[495]) ).

thf(986,plain,
    ( ( ! [F: c > sum_sum_c_d,G: c > c,A4: set_c] :
          ( ( image_c_Sum_sum_c_d @ F @ ( image_c_c @ G @ A4 ) )
          = ( image_c_Sum_sum_c_d
            @ ^ [X3: c] : ( F @ ( G @ X3 ) )
            @ A4 ) ) )
    = $true ),
    inference(copy,[status(thm)],[494]) ).

thf(987,plain,
    ( ( ! [F: c > c,A4: set_c,P: c > $o] :
          ( ( collect_c
            @ ^ [X3: c] :
                ( ( member_c @ X3 @ ( image_c_c @ F @ A4 ) )
                & ( P @ X3 ) ) )
          = ( image_c_c @ F
            @ ( collect_c
              @ ^ [X3: c] :
                  ( ( member_c @ X3 @ A4 )
                  & ( P @ ( F @ X3 ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[493]) ).

thf(988,plain,
    ( ( ! [F: c > sum_sum_c_c,A4: set_c,P: sum_sum_c_c > $o] :
          ( ( collect_Sum_sum_c_c
            @ ^ [X3: sum_sum_c_c] :
                ( ( member_Sum_sum_c_c @ X3 @ ( image_c_Sum_sum_c_c @ F @ A4 ) )
                & ( P @ X3 ) ) )
          = ( image_c_Sum_sum_c_c @ F
            @ ( collect_c
              @ ^ [X3: c] :
                  ( ( member_c @ X3 @ A4 )
                  & ( P @ ( F @ X3 ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[492]) ).

thf(989,plain,
    ( ( ! [F: c > sum_sum_c_d,A4: set_c,P: sum_sum_c_d > $o] :
          ( ( collect_Sum_sum_c_d
            @ ^ [X3: sum_sum_c_d] :
                ( ( member_Sum_sum_c_d @ X3 @ ( image_c_Sum_sum_c_d @ F @ A4 ) )
                & ( P @ X3 ) ) )
          = ( image_c_Sum_sum_c_d @ F
            @ ( collect_c
              @ ^ [X3: c] :
                  ( ( member_c @ X3 @ A4 )
                  & ( P @ ( F @ X3 ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[491]) ).

thf(990,plain,
    ( ( ! [F: c > finite1398487019real_c,A4: set_c,P: finite1398487019real_c > $o] :
          ( ( collec230941376real_c
            @ ^ [X3: finite1398487019real_c] :
                ( ( member1261661570real_c @ X3 @ ( image_687300774real_c @ F @ A4 ) )
                & ( P @ X3 ) ) )
          = ( image_687300774real_c @ F
            @ ( collect_c
              @ ^ [X3: c] :
                  ( ( member_c @ X3 @ A4 )
                  & ( P @ ( F @ X3 ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[490]) ).

thf(991,plain,
    ( ( ! [F: sum_sum_c_c > c,A4: set_Sum_sum_c_c,P: c > $o] :
          ( ( collect_c
            @ ^ [X3: c] :
                ( ( member_c @ X3 @ ( image_Sum_sum_c_c_c @ F @ A4 ) )
                & ( P @ X3 ) ) )
          = ( image_Sum_sum_c_c_c @ F
            @ ( collect_Sum_sum_c_c
              @ ^ [X3: sum_sum_c_c] :
                  ( ( member_Sum_sum_c_c @ X3 @ A4 )
                  & ( P @ ( F @ X3 ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[489]) ).

thf(992,plain,
    ( ( ! [F: sum_sum_c_d > c,A4: set_Sum_sum_c_d,P: c > $o] :
          ( ( collect_c
            @ ^ [X3: c] :
                ( ( member_c @ X3 @ ( image_Sum_sum_c_d_c @ F @ A4 ) )
                & ( P @ X3 ) ) )
          = ( image_Sum_sum_c_d_c @ F
            @ ( collect_Sum_sum_c_d
              @ ^ [X3: sum_sum_c_d] :
                  ( ( member_Sum_sum_c_d @ X3 @ A4 )
                  & ( P @ ( F @ X3 ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[488]) ).

thf(993,plain,
    ( ( ! [F: finite1398487019real_c > c,A4: set_Fi1407883041real_c,P: c > $o] :
          ( ( collect_c
            @ ^ [X3: c] :
                ( ( member_c @ X3 @ ( image_1260608398al_c_c @ F @ A4 ) )
                & ( P @ X3 ) ) )
          = ( image_1260608398al_c_c @ F
            @ ( collec230941376real_c
              @ ^ [X3: finite1398487019real_c] :
                  ( ( member1261661570real_c @ X3 @ A4 )
                  & ( P @ ( F @ X3 ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[487]) ).

thf(994,plain,
    ( ( ! [F: sum_sum_c_c > sum_sum_c_c,A4: set_Sum_sum_c_c,P: sum_sum_c_c > $o] :
          ( ( collect_Sum_sum_c_c
            @ ^ [X3: sum_sum_c_c] :
                ( ( member_Sum_sum_c_c @ X3 @ ( image_666880337um_c_c @ F @ A4 ) )
                & ( P @ X3 ) ) )
          = ( image_666880337um_c_c @ F
            @ ( collect_Sum_sum_c_c
              @ ^ [X3: sum_sum_c_c] :
                  ( ( member_Sum_sum_c_c @ X3 @ A4 )
                  & ( P @ ( F @ X3 ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[486]) ).

thf(995,plain,
    ( ( ! [F: sum_sum_c_d > sum_sum_c_c,A4: set_Sum_sum_c_d,P: sum_sum_c_c > $o] :
          ( ( collect_Sum_sum_c_c
            @ ^ [X3: sum_sum_c_c] :
                ( ( member_Sum_sum_c_c @ X3 @ ( image_1558941394um_c_c @ F @ A4 ) )
                & ( P @ X3 ) ) )
          = ( image_1558941394um_c_c @ F
            @ ( collect_Sum_sum_c_d
              @ ^ [X3: sum_sum_c_d] :
                  ( ( member_Sum_sum_c_d @ X3 @ A4 )
                  & ( P @ ( F @ X3 ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[485]) ).

thf(996,plain,
    ( ( ! [F: sum_sum_c_c > sum_sum_c_d,A4: set_Sum_sum_c_c,P: sum_sum_c_d > $o] :
          ( ( collect_Sum_sum_c_d
            @ ^ [X3: sum_sum_c_d] :
                ( ( member_Sum_sum_c_d @ X3 @ ( image_675141842um_c_d @ F @ A4 ) )
                & ( P @ X3 ) ) )
          = ( image_675141842um_c_d @ F
            @ ( collect_Sum_sum_c_c
              @ ^ [X3: sum_sum_c_c] :
                  ( ( member_Sum_sum_c_c @ X3 @ A4 )
                  & ( P @ ( F @ X3 ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[484]) ).

thf(997,plain,
    ( ( ord_le1772180283um_c_c
      = ( ^ [A5: set_Sum_sum_c_c,B5: set_Sum_sum_c_c] :
            ( ord_le1315653386_c_c_o
            @ ^ [X3: sum_sum_c_c] : ( member_Sum_sum_c_c @ X3 @ A5 )
            @ ^ [X3: sum_sum_c_c] : ( member_Sum_sum_c_c @ X3 @ B5 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[483]) ).

thf(998,plain,
    ( ( ord_less_eq_set_c
      = ( ^ [A5: set_c,B5: set_c] :
            ( ord_less_eq_c_o
            @ ^ [X3: c] : ( member_c @ X3 @ A5 )
            @ ^ [X3: c] : ( member_c @ X3 @ B5 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[482]) ).

thf(999,plain,
    ( ( ord_le764260924um_c_d
      = ( ^ [A5: set_Sum_sum_c_d,B5: set_Sum_sum_c_d] :
            ( ord_le2143422793_c_d_o
            @ ^ [X3: sum_sum_c_d] : ( member_Sum_sum_c_d @ X3 @ A5 )
            @ ^ [X3: sum_sum_c_d] : ( member_Sum_sum_c_d @ X3 @ B5 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[481]) ).

thf(1000,plain,
    ( ( ord_le977353143real_c
      = ( ^ [A5: set_Pr1389752855real_c,B5: set_Pr1389752855real_c] :
            ( ord_le1132241894al_c_o
            @ ^ [X3: produc190496183real_c] : ( member1895684704real_c @ X3 @ A5 )
            @ ^ [X3: produc190496183real_c] : ( member1895684704real_c @ X3 @ B5 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[480]) ).

thf(1001,plain,
    ( ( ord_le35002188real_c
      = ( ^ [A5: set_re2066790124real_c,B5: set_re2066790124real_c] :
            ( ord_le818951225al_c_o
            @ ^ [X3: real > finite1398487019real_c] : ( member1321351885real_c @ X3 @ A5 )
            @ ^ [X3: real > finite1398487019real_c] : ( member1321351885real_c @ X3 @ B5 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[479]) ).

thf(1002,plain,
    ( ( ! [A4: set_Sum_sum_c_c,P: sum_sum_c_c > $o] :
          ( ord_le1772180283um_c_c
          @ ( collect_Sum_sum_c_c
            @ ^ [X3: sum_sum_c_c] :
                ( ( member_Sum_sum_c_c @ X3 @ A4 )
                & ( P @ X3 ) ) )
          @ A4 ) )
    = $true ),
    inference(copy,[status(thm)],[478]) ).

thf(1003,plain,
    ( ( ! [A4: set_Sum_sum_c_d,P: sum_sum_c_d > $o] :
          ( ord_le764260924um_c_d
          @ ( collect_Sum_sum_c_d
            @ ^ [X3: sum_sum_c_d] :
                ( ( member_Sum_sum_c_d @ X3 @ A4 )
                & ( P @ X3 ) ) )
          @ A4 ) )
    = $true ),
    inference(copy,[status(thm)],[477]) ).

thf(1004,plain,
    ( ( ! [A4: set_Pr1389752855real_c,P: produc190496183real_c > $o] :
          ( ord_le977353143real_c
          @ ( collec1643251106real_c
            @ ^ [X3: produc190496183real_c] :
                ( ( member1895684704real_c @ X3 @ A4 )
                & ( P @ X3 ) ) )
          @ A4 ) )
    = $true ),
    inference(copy,[status(thm)],[476]) ).

thf(1005,plain,
    ( ( ! [A4: set_re2066790124real_c,P: ( real > finite1398487019real_c ) > $o] :
          ( ord_le35002188real_c
          @ ( collec913357835real_c
            @ ^ [X3: real > finite1398487019real_c] :
                ( ( member1321351885real_c @ X3 @ A4 )
                & ( P @ X3 ) ) )
          @ A4 ) )
    = $true ),
    inference(copy,[status(thm)],[475]) ).

thf(1006,plain,
    ( ( ! [A4: set_Fi1407883041real_c,P: finite1398487019real_c > $o] :
          ( ord_le1327118209real_c
          @ ( collec230941376real_c
            @ ^ [X3: finite1398487019real_c] :
                ( ( member1261661570real_c @ X3 @ A4 )
                & ( P @ X3 ) ) )
          @ A4 ) )
    = $true ),
    inference(copy,[status(thm)],[474]) ).

thf(1007,plain,
    ( ( ! [A4: set_c,P: c > $o] :
          ( ord_less_eq_set_c
          @ ( collect_c
            @ ^ [X3: c] :
                ( ( member_c @ X3 @ A4 )
                & ( P @ X3 ) ) )
          @ A4 ) )
    = $true ),
    inference(copy,[status(thm)],[473]) ).

thf(1008,plain,
    ( ( ! [P: finite1398487019real_c > $o] :
          ( ( collec230941376real_c
            @ ^ [X3: finite1398487019real_c] :
                ~ ( P @ X3 ) )
          = ( uminus102402154real_c @ ( collec230941376real_c @ P ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[472]) ).

thf(1009,plain,
    ( ( ! [P: c > $o] :
          ( ( collect_c
            @ ^ [X3: c] :
                ~ ( P @ X3 ) )
          = ( uminus_uminus_set_c @ ( collect_c @ P ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[471]) ).

thf(1010,plain,
    ( ( ! [P: sum_sum_c_c > $o] :
          ( ( collect_Sum_sum_c_c
            @ ^ [X3: sum_sum_c_c] :
                ~ ( P @ X3 ) )
          = ( uminus1381786404um_c_c @ ( collect_Sum_sum_c_c @ P ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[470]) ).

thf(1011,plain,
    ( ( uminus373867045um_c_d
      = ( ^ [A5: set_Sum_sum_c_d] :
            ( collect_Sum_sum_c_d
            @ ^ [X3: sum_sum_c_d] :
                ~ ( member_Sum_sum_c_d @ X3 @ A5 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[469]) ).

thf(1012,plain,
    ( ( uminus232257166real_c
      = ( ^ [A5: set_Pr1389752855real_c] :
            ( collec1643251106real_c
            @ ^ [X3: produc190496183real_c] :
                ~ ( member1895684704real_c @ X3 @ A5 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[468]) ).

thf(1013,plain,
    ( ( uminus946614837real_c
      = ( ^ [A5: set_re2066790124real_c] :
            ( collec913357835real_c
            @ ^ [X3: real > finite1398487019real_c] :
                ~ ( member1321351885real_c @ X3 @ A5 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[467]) ).

thf(1014,plain,
    ( ( uminus102402154real_c
      = ( ^ [A5: set_Fi1407883041real_c] :
            ( collec230941376real_c
            @ ^ [X3: finite1398487019real_c] :
                ~ ( member1261661570real_c @ X3 @ A5 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[466]) ).

thf(1015,plain,
    ( ( uminus_uminus_set_c
      = ( ^ [A5: set_c] :
            ( collect_c
            @ ^ [X3: c] :
                ~ ( member_c @ X3 @ A5 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[465]) ).

thf(1016,plain,
    ( ( uminus1381786404um_c_c
      = ( ^ [A5: set_Sum_sum_c_c] :
            ( collect_Sum_sum_c_c
            @ ^ [X3: sum_sum_c_c] :
                ~ ( member_Sum_sum_c_c @ X3 @ A5 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[464]) ).

thf(1017,plain,
    ( ( uminus373867045um_c_d
      = ( ^ [A5: set_Sum_sum_c_d] :
            ( collect_Sum_sum_c_d
            @ ( uminus916499104_c_d_o
              @ ^ [X3: sum_sum_c_d] : ( member_Sum_sum_c_d @ X3 @ A5 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[463]) ).

thf(1018,plain,
    ( ( uminus232257166real_c
      = ( ^ [A5: set_Pr1389752855real_c] :
            ( collec1643251106real_c
            @ ( uminus32155087al_c_o
              @ ^ [X3: produc190496183real_c] : ( member1895684704real_c @ X3 @ A5 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[462]) ).

thf(1019,plain,
    ( ( uminus946614837real_c
      = ( ^ [A5: set_re2066790124real_c] :
            ( collec913357835real_c
            @ ( uminus1756072592al_c_o
              @ ^ [X3: real > finite1398487019real_c] : ( member1321351885real_c @ X3 @ A5 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[461]) ).

thf(1020,plain,
    ( ( uminus102402154real_c
      = ( ^ [A5: set_Fi1407883041real_c] :
            ( collec230941376real_c
            @ ( uminus23580315al_c_o
              @ ^ [X3: finite1398487019real_c] : ( member1261661570real_c @ X3 @ A5 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[460]) ).

thf(1021,plain,
    ( ( uminus_uminus_set_c
      = ( ^ [A5: set_c] :
            ( collect_c
            @ ( uminus_uminus_c_o
              @ ^ [X3: c] : ( member_c @ X3 @ A5 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[459]) ).

thf(1022,plain,
    ( ( uminus1381786404um_c_c
      = ( ^ [A5: set_Sum_sum_c_c] :
            ( collect_Sum_sum_c_c
            @ ( uminus88729697_c_c_o
              @ ^ [X3: sum_sum_c_c] : ( member_Sum_sum_c_c @ X3 @ A5 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[458]) ).

thf(1023,plain,
    ( ( ! [A4: set_c,B4: set_c,F: c > sum_sum_c_c] :
          ( ( ord_less_eq_set_c @ A4 @ B4 )
         => ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ F @ A4 ) @ ( image_c_Sum_sum_c_c @ F @ B4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[457]) ).

thf(1024,plain,
    ( ( ! [A4: set_c,B4: set_c,F: c > sum_sum_c_d] :
          ( ( ord_less_eq_set_c @ A4 @ B4 )
         => ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ F @ A4 ) @ ( image_c_Sum_sum_c_d @ F @ B4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[456]) ).

thf(1025,plain,
    ( ( ! [A4: set_c,F: c > c,B4: set_c] :
          ( ! [X4: c] :
              ( ( member_c @ X4 @ A4 )
             => ( member_c @ ( F @ X4 ) @ B4 ) )
         => ( ord_less_eq_set_c @ ( image_c_c @ F @ A4 ) @ B4 ) ) )
    = $true ),
    inference(copy,[status(thm)],[455]) ).

thf(1026,plain,
    ( ( ! [A4: set_Sum_sum_c_c,F: sum_sum_c_c > c,B4: set_c] :
          ( ! [X4: sum_sum_c_c] :
              ( ( member_Sum_sum_c_c @ X4 @ A4 )
             => ( member_c @ ( F @ X4 ) @ B4 ) )
         => ( ord_less_eq_set_c @ ( image_Sum_sum_c_c_c @ F @ A4 ) @ B4 ) ) )
    = $true ),
    inference(copy,[status(thm)],[454]) ).

thf(1027,plain,
    ( ( ! [A4: set_c,F: c > sum_sum_c_c,B4: set_Sum_sum_c_c] :
          ( ! [X4: c] :
              ( ( member_c @ X4 @ A4 )
             => ( member_Sum_sum_c_c @ ( F @ X4 ) @ B4 ) )
         => ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ F @ A4 ) @ B4 ) ) )
    = $true ),
    inference(copy,[status(thm)],[453]) ).

thf(1028,plain,
    ( ( ! [A4: set_c,F: c > sum_sum_c_d,B4: set_Sum_sum_c_d] :
          ( ! [X4: c] :
              ( ( member_c @ X4 @ A4 )
             => ( member_Sum_sum_c_d @ ( F @ X4 ) @ B4 ) )
         => ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ F @ A4 ) @ B4 ) ) )
    = $true ),
    inference(copy,[status(thm)],[452]) ).

thf(1029,plain,
    ( ( ! [A4: set_Sum_sum_c_d,F: sum_sum_c_d > c,B4: set_c] :
          ( ! [X4: sum_sum_c_d] :
              ( ( member_Sum_sum_c_d @ X4 @ A4 )
             => ( member_c @ ( F @ X4 ) @ B4 ) )
         => ( ord_less_eq_set_c @ ( image_Sum_sum_c_d_c @ F @ A4 ) @ B4 ) ) )
    = $true ),
    inference(copy,[status(thm)],[451]) ).

thf(1030,plain,
    ( ( ! [A4: set_Sum_sum_c_c,F: sum_sum_c_c > sum_sum_c_c,B4: set_Sum_sum_c_c] :
          ( ! [X4: sum_sum_c_c] :
              ( ( member_Sum_sum_c_c @ X4 @ A4 )
             => ( member_Sum_sum_c_c @ ( F @ X4 ) @ B4 ) )
         => ( ord_le1772180283um_c_c @ ( image_666880337um_c_c @ F @ A4 ) @ B4 ) ) )
    = $true ),
    inference(copy,[status(thm)],[450]) ).

thf(1031,plain,
    ( ( ! [A4: set_Sum_sum_c_c,F: sum_sum_c_c > sum_sum_c_d,B4: set_Sum_sum_c_d] :
          ( ! [X4: sum_sum_c_c] :
              ( ( member_Sum_sum_c_c @ X4 @ A4 )
             => ( member_Sum_sum_c_d @ ( F @ X4 ) @ B4 ) )
         => ( ord_le764260924um_c_d @ ( image_675141842um_c_d @ F @ A4 ) @ B4 ) ) )
    = $true ),
    inference(copy,[status(thm)],[449]) ).

thf(1032,plain,
    ( ( ! [A4: set_c,F: c > real > finite1398487019real_c,B4: set_re2066790124real_c] :
          ( ! [X4: c] :
              ( ( member_c @ X4 @ A4 )
             => ( member1321351885real_c @ ( F @ X4 ) @ B4 ) )
         => ( ord_le35002188real_c @ ( image_1226855921real_c @ F @ A4 ) @ B4 ) ) )
    = $true ),
    inference(copy,[status(thm)],[448]) ).

thf(1033,plain,
    ( ( ! [A4: set_Sum_sum_c_d,F: sum_sum_c_d > sum_sum_c_c,B4: set_Sum_sum_c_c] :
          ( ! [X4: sum_sum_c_d] :
              ( ( member_Sum_sum_c_d @ X4 @ A4 )
             => ( member_Sum_sum_c_c @ ( F @ X4 ) @ B4 ) )
         => ( ord_le1772180283um_c_c @ ( image_1558941394um_c_c @ F @ A4 ) @ B4 ) ) )
    = $true ),
    inference(copy,[status(thm)],[447]) ).

thf(1034,plain,
    ( ( ! [A4: set_Sum_sum_c_d,F: sum_sum_c_d > sum_sum_c_d,B4: set_Sum_sum_c_d] :
          ( ! [X4: sum_sum_c_d] :
              ( ( member_Sum_sum_c_d @ X4 @ A4 )
             => ( member_Sum_sum_c_d @ ( F @ X4 ) @ B4 ) )
         => ( ord_le764260924um_c_d @ ( image_1567202899um_c_d @ F @ A4 ) @ B4 ) ) )
    = $true ),
    inference(copy,[status(thm)],[446]) ).

thf(1035,plain,
    ( ( ! [B4: set_Sum_sum_c_c,F: c > sum_sum_c_c,A4: set_c] :
          ( ( ord_le1772180283um_c_c @ B4 @ ( image_c_Sum_sum_c_c @ F @ A4 ) )
         => ~ ! [C2: set_c] :
                ( ( ord_less_eq_set_c @ C2 @ A4 )
               => ( B4
                 != ( image_c_Sum_sum_c_c @ F @ C2 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[445]) ).

thf(1036,plain,
    ( ( ! [B4: set_Sum_sum_c_d,F: c > sum_sum_c_d,A4: set_c] :
          ( ( ord_le764260924um_c_d @ B4 @ ( image_c_Sum_sum_c_d @ F @ A4 ) )
         => ~ ! [C2: set_c] :
                ( ( ord_less_eq_set_c @ C2 @ A4 )
               => ( B4
                 != ( image_c_Sum_sum_c_d @ F @ C2 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[444]) ).

thf(1037,plain,
    ( ( ! [F: c > sum_sum_c_c,A4: set_c,B4: set_Sum_sum_c_c] :
          ( ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ F @ A4 ) @ B4 )
          = ( ! [X3: c] :
                ( ( member_c @ X3 @ A4 )
               => ( member_Sum_sum_c_c @ ( F @ X3 ) @ B4 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[443]) ).

thf(1038,plain,
    ( ( ! [F: c > sum_sum_c_d,A4: set_c,B4: set_Sum_sum_c_d] :
          ( ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ F @ A4 ) @ B4 )
          = ( ! [X3: c] :
                ( ( member_c @ X3 @ A4 )
               => ( member_Sum_sum_c_d @ ( F @ X3 ) @ B4 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[442]) ).

thf(1039,plain,
    ( ( ! [B4: set_Sum_sum_c_c,F: c > sum_sum_c_c,A4: set_c] :
          ( ( ord_le1772180283um_c_c @ B4 @ ( image_c_Sum_sum_c_c @ F @ A4 ) )
          = ( ? [AA: set_c] :
                ( ( ord_less_eq_set_c @ AA @ A4 )
                & ( B4
                  = ( image_c_Sum_sum_c_c @ F @ AA ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[441]) ).

thf(1040,plain,
    ( ( ! [B4: set_Sum_sum_c_d,F: c > sum_sum_c_d,A4: set_c] :
          ( ( ord_le764260924um_c_d @ B4 @ ( image_c_Sum_sum_c_d @ F @ A4 ) )
          = ( ? [AA: set_c] :
                ( ( ord_less_eq_set_c @ AA @ A4 )
                & ( B4
                  = ( image_c_Sum_sum_c_d @ F @ AA ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[440]) ).

thf(1041,plain,
    ( ( ! [X: produc190496183real_c,Xa: c,Xb: real,Y: produc190496183real_c] :
          ( ( ( denotational_repd_c @ X @ Xa @ Xb )
            = Y )
         => ( Y
            = ( produc394644079real_c @ ( produc2010422875real_c @ X )
              @ ( finite557796307c_real
                @ ^ [Y3: c] : ( if_real @ ( Xa = Y3 ) @ Xb @ ( finite772340578real_c @ ( produc314122909real_c @ X ) @ Y3 ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[439]) ).

thf(1042,plain,
    ( ( denotational_repd_c
      = ( ^ [V3: produc190496183real_c,X3: c,R: real] :
            ( produc394644079real_c @ ( produc2010422875real_c @ V3 )
            @ ( finite557796307c_real
              @ ^ [Y3: c] : ( if_real @ ( X3 = Y3 ) @ R @ ( finite772340578real_c @ ( produc314122909real_c @ V3 ) @ Y3 ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[438]) ).

thf(1043,plain,
    ( ( ! [F2: c > sum_sum_c_c,A4: set_c,B4: set_Sum_sum_c_c] :
          ( ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ F2 @ A4 ) @ B4 )
          = ( member_c_Sum_sum_c_c @ F2
            @ ( pi_c_Sum_sum_c_c @ A4
              @ ^ [Uu: c] : B4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[437]) ).

thf(1044,plain,
    ( ( ! [F2: c > sum_sum_c_d,A4: set_c,B4: set_Sum_sum_c_d] :
          ( ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ F2 @ A4 ) @ B4 )
          = ( member_c_Sum_sum_c_d @ F2
            @ ( pi_c_Sum_sum_c_d @ A4
              @ ^ [Uu: c] : B4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[436]) ).

thf(1045,plain,
    ( ( ! [F2: real > finite1398487019real_c,A4: set_real,B4: set_Fi1407883041real_c] :
          ( ( ord_le1327118209real_c @ ( image_327677598real_c @ F2 @ A4 ) @ B4 )
          = ( member1321351885real_c @ F2
            @ ( pi_rea1111636068real_c @ A4
              @ ^ [Uu: real] : B4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[435]) ).

thf(1046,plain,
    ( ( ! [A4: set_c,F: c > c,B4: c > set_c] :
          ( ! [X4: c] :
              ( ( member_c @ X4 @ A4 )
             => ( member_c @ ( F @ X4 ) @ ( B4 @ X4 ) ) )
         => ( member_c_c @ F @ ( pi_c_c @ A4 @ B4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[434]) ).

thf(1047,plain,
    ( ( ! [A4: set_real,F: real > finite1398487019real_c,B4: real > set_Fi1407883041real_c] :
          ( ! [X4: real] :
              ( ( member_real @ X4 @ A4 )
             => ( member1261661570real_c @ ( F @ X4 ) @ ( B4 @ X4 ) ) )
         => ( member1321351885real_c @ F @ ( pi_rea1111636068real_c @ A4 @ B4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[433]) ).

thf(1048,plain,
    ( ( ! [A4: set_Sum_sum_c_c,F: sum_sum_c_c > c,B4: sum_sum_c_c > set_c] :
          ( ! [X4: sum_sum_c_c] :
              ( ( member_Sum_sum_c_c @ X4 @ A4 )
             => ( member_c @ ( F @ X4 ) @ ( B4 @ X4 ) ) )
         => ( member_Sum_sum_c_c_c @ F @ ( pi_Sum_sum_c_c_c @ A4 @ B4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[432]) ).

thf(1049,plain,
    ( ( ! [A4: set_c,F: c > sum_sum_c_c,B4: c > set_Sum_sum_c_c] :
          ( ! [X4: c] :
              ( ( member_c @ X4 @ A4 )
             => ( member_Sum_sum_c_c @ ( F @ X4 ) @ ( B4 @ X4 ) ) )
         => ( member_c_Sum_sum_c_c @ F @ ( pi_c_Sum_sum_c_c @ A4 @ B4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[431]) ).

thf(1050,plain,
    ( ( ! [A4: set_c,F: c > sum_sum_c_d,B4: c > set_Sum_sum_c_d] :
          ( ! [X4: c] :
              ( ( member_c @ X4 @ A4 )
             => ( member_Sum_sum_c_d @ ( F @ X4 ) @ ( B4 @ X4 ) ) )
         => ( member_c_Sum_sum_c_d @ F @ ( pi_c_Sum_sum_c_d @ A4 @ B4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[430]) ).

thf(1051,plain,
    ( ( ! [A4: set_Sum_sum_c_d,F: sum_sum_c_d > c,B4: sum_sum_c_d > set_c] :
          ( ! [X4: sum_sum_c_d] :
              ( ( member_Sum_sum_c_d @ X4 @ A4 )
             => ( member_c @ ( F @ X4 ) @ ( B4 @ X4 ) ) )
         => ( member_Sum_sum_c_d_c @ F @ ( pi_Sum_sum_c_d_c @ A4 @ B4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[429]) ).

thf(1052,plain,
    ( ( ! [A4: set_Sum_sum_c_c,F: sum_sum_c_c > sum_sum_c_c,B4: sum_sum_c_c > set_Sum_sum_c_c] :
          ( ! [X4: sum_sum_c_c] :
              ( ( member_Sum_sum_c_c @ X4 @ A4 )
             => ( member_Sum_sum_c_c @ ( F @ X4 ) @ ( B4 @ X4 ) ) )
         => ( member1326674048um_c_c @ F @ ( pi_Sum253006871um_c_c @ A4 @ B4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[428]) ).

thf(1053,plain,
    ( ( ! [A4: set_Sum_sum_c_c,F: sum_sum_c_c > sum_sum_c_d,B4: sum_sum_c_c > set_Sum_sum_c_d] :
          ( ! [X4: sum_sum_c_c] :
              ( ( member_Sum_sum_c_c @ X4 @ A4 )
             => ( member_Sum_sum_c_d @ ( F @ X4 ) @ ( B4 @ X4 ) ) )
         => ( member318754689um_c_d @ F @ ( pi_Sum261268376um_c_d @ A4 @ B4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[427]) ).

thf(1054,plain,
    ( ( ! [A4: set_c,F: c > real > finite1398487019real_c,B4: c > set_re2066790124real_c] :
          ( ! [X4: c] :
              ( ( member_c @ X4 @ A4 )
             => ( member1321351885real_c @ ( F @ X4 ) @ ( B4 @ X4 ) ) )
         => ( member469531344real_c @ F @ ( pi_c_r41638571real_c @ A4 @ B4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[426]) ).

thf(1055,plain,
    ( ( ! [A4: set_Sum_sum_c_d,F: sum_sum_c_d > sum_sum_c_c,B4: sum_sum_c_d > set_Sum_sum_c_c] :
          ( ! [X4: sum_sum_c_d] :
              ( ( member_Sum_sum_c_d @ X4 @ A4 )
             => ( member_Sum_sum_c_c @ ( F @ X4 ) @ ( B4 @ X4 ) ) )
         => ( member71251457um_c_c @ F @ ( pi_Sum1145067928um_c_c @ A4 @ B4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[425]) ).

thf(1056,plain,
    ( ( ! [F: c > c,A4: set_c,B4: c > set_c,X: c] :
          ( ( member_c_c @ F @ ( pi_c_c @ A4 @ B4 ) )
         => ( ~ ( member_c @ ( F @ X ) @ ( B4 @ X ) )
           => ~ ( member_c @ X @ A4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[424]) ).

thf(1057,plain,
    ( ( ! [F: c > sum_sum_c_c,A4: set_c,B4: c > set_Sum_sum_c_c,X: c] :
          ( ( member_c_Sum_sum_c_c @ F @ ( pi_c_Sum_sum_c_c @ A4 @ B4 ) )
         => ( ~ ( member_Sum_sum_c_c @ ( F @ X ) @ ( B4 @ X ) )
           => ~ ( member_c @ X @ A4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[423]) ).

thf(1058,plain,
    ( ( ! [F: sum_sum_c_c > c,A4: set_Sum_sum_c_c,B4: sum_sum_c_c > set_c,X: sum_sum_c_c] :
          ( ( member_Sum_sum_c_c_c @ F @ ( pi_Sum_sum_c_c_c @ A4 @ B4 ) )
         => ( ~ ( member_c @ ( F @ X ) @ ( B4 @ X ) )
           => ~ ( member_Sum_sum_c_c @ X @ A4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[422]) ).

thf(1059,plain,
    ( ( ! [F: sum_sum_c_d > c,A4: set_Sum_sum_c_d,B4: sum_sum_c_d > set_c,X: sum_sum_c_d] :
          ( ( member_Sum_sum_c_d_c @ F @ ( pi_Sum_sum_c_d_c @ A4 @ B4 ) )
         => ( ~ ( member_c @ ( F @ X ) @ ( B4 @ X ) )
           => ~ ( member_Sum_sum_c_d @ X @ A4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[421]) ).

thf(1060,plain,
    ( ( ! [F: c > sum_sum_c_d,A4: set_c,B4: c > set_Sum_sum_c_d,X: c] :
          ( ( member_c_Sum_sum_c_d @ F @ ( pi_c_Sum_sum_c_d @ A4 @ B4 ) )
         => ( ~ ( member_Sum_sum_c_d @ ( F @ X ) @ ( B4 @ X ) )
           => ~ ( member_c @ X @ A4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[420]) ).

thf(1061,plain,
    ( ( ! [F: real > finite1398487019real_c,A4: set_real,B4: real > set_Fi1407883041real_c,X: real] :
          ( ( member1321351885real_c @ F @ ( pi_rea1111636068real_c @ A4 @ B4 ) )
         => ( ~ ( member1261661570real_c @ ( F @ X ) @ ( B4 @ X ) )
           => ~ ( member_real @ X @ A4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[419]) ).

thf(1062,plain,
    ( ( ! [F: sum_sum_c_c > sum_sum_c_c,A4: set_Sum_sum_c_c,B4: sum_sum_c_c > set_Sum_sum_c_c,X: sum_sum_c_c] :
          ( ( member1326674048um_c_c @ F @ ( pi_Sum253006871um_c_c @ A4 @ B4 ) )
         => ( ~ ( member_Sum_sum_c_c @ ( F @ X ) @ ( B4 @ X ) )
           => ~ ( member_Sum_sum_c_c @ X @ A4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[418]) ).

thf(1063,plain,
    ( ( ! [F: sum_sum_c_d > sum_sum_c_c,A4: set_Sum_sum_c_d,B4: sum_sum_c_d > set_Sum_sum_c_c,X: sum_sum_c_d] :
          ( ( member71251457um_c_c @ F @ ( pi_Sum1145067928um_c_c @ A4 @ B4 ) )
         => ( ~ ( member_Sum_sum_c_c @ ( F @ X ) @ ( B4 @ X ) )
           => ~ ( member_Sum_sum_c_d @ X @ A4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[417]) ).

thf(1064,plain,
    ( ( ! [F: ( real > finite1398487019real_c ) > c,A4: set_re2066790124real_c,B4: ( real > finite1398487019real_c ) > set_c,X: real > finite1398487019real_c] :
          ( ( member527957930al_c_c @ F @ ( pi_rea1228756413al_c_c @ A4 @ B4 ) )
         => ( ~ ( member_c @ ( F @ X ) @ ( B4 @ X ) )
           => ~ ( member1321351885real_c @ X @ A4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[416]) ).

thf(1065,plain,
    ( ( ! [F: sum_sum_c_c > sum_sum_c_d,A4: set_Sum_sum_c_c,B4: sum_sum_c_c > set_Sum_sum_c_d,X: sum_sum_c_c] :
          ( ( member318754689um_c_d @ F @ ( pi_Sum261268376um_c_d @ A4 @ B4 ) )
         => ( ~ ( member_Sum_sum_c_d @ ( F @ X ) @ ( B4 @ X ) )
           => ~ ( member_Sum_sum_c_c @ X @ A4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[415]) ).

thf(1066,plain,
    ( ( ! [A4: set_c,F: c > c,B4: c > set_c] :
          ( ! [X4: c] :
              ( ( member_c @ X4 @ A4 )
             => ( member_c @ ( F @ X4 ) @ ( B4 @ X4 ) ) )
         => ( member_c_c @ F @ ( pi_c_c @ A4 @ B4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[414]) ).

thf(1067,plain,
    ( ( ! [A4: set_real,F: real > finite1398487019real_c,B4: real > set_Fi1407883041real_c] :
          ( ! [X4: real] :
              ( ( member_real @ X4 @ A4 )
             => ( member1261661570real_c @ ( F @ X4 ) @ ( B4 @ X4 ) ) )
         => ( member1321351885real_c @ F @ ( pi_rea1111636068real_c @ A4 @ B4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[413]) ).

thf(1068,plain,
    ( ( ! [A4: set_Sum_sum_c_c,F: sum_sum_c_c > c,B4: sum_sum_c_c > set_c] :
          ( ! [X4: sum_sum_c_c] :
              ( ( member_Sum_sum_c_c @ X4 @ A4 )
             => ( member_c @ ( F @ X4 ) @ ( B4 @ X4 ) ) )
         => ( member_Sum_sum_c_c_c @ F @ ( pi_Sum_sum_c_c_c @ A4 @ B4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[412]) ).

thf(1069,plain,
    ( ( ! [A4: set_c,F: c > sum_sum_c_c,B4: c > set_Sum_sum_c_c] :
          ( ! [X4: c] :
              ( ( member_c @ X4 @ A4 )
             => ( member_Sum_sum_c_c @ ( F @ X4 ) @ ( B4 @ X4 ) ) )
         => ( member_c_Sum_sum_c_c @ F @ ( pi_c_Sum_sum_c_c @ A4 @ B4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[411]) ).

thf(1070,plain,
    ( ( ! [A4: set_c,F: c > sum_sum_c_d,B4: c > set_Sum_sum_c_d] :
          ( ! [X4: c] :
              ( ( member_c @ X4 @ A4 )
             => ( member_Sum_sum_c_d @ ( F @ X4 ) @ ( B4 @ X4 ) ) )
         => ( member_c_Sum_sum_c_d @ F @ ( pi_c_Sum_sum_c_d @ A4 @ B4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[410]) ).

thf(1071,plain,
    ( ( ! [A4: set_Sum_sum_c_d,F: sum_sum_c_d > c,B4: sum_sum_c_d > set_c] :
          ( ! [X4: sum_sum_c_d] :
              ( ( member_Sum_sum_c_d @ X4 @ A4 )
             => ( member_c @ ( F @ X4 ) @ ( B4 @ X4 ) ) )
         => ( member_Sum_sum_c_d_c @ F @ ( pi_Sum_sum_c_d_c @ A4 @ B4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[409]) ).

thf(1072,plain,
    ( ( ! [A4: set_Sum_sum_c_c,F: sum_sum_c_c > sum_sum_c_c,B4: sum_sum_c_c > set_Sum_sum_c_c] :
          ( ! [X4: sum_sum_c_c] :
              ( ( member_Sum_sum_c_c @ X4 @ A4 )
             => ( member_Sum_sum_c_c @ ( F @ X4 ) @ ( B4 @ X4 ) ) )
         => ( member1326674048um_c_c @ F @ ( pi_Sum253006871um_c_c @ A4 @ B4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[408]) ).

thf(1073,plain,
    ( ( ! [A4: set_Sum_sum_c_c,F: sum_sum_c_c > sum_sum_c_d,B4: sum_sum_c_c > set_Sum_sum_c_d] :
          ( ! [X4: sum_sum_c_c] :
              ( ( member_Sum_sum_c_c @ X4 @ A4 )
             => ( member_Sum_sum_c_d @ ( F @ X4 ) @ ( B4 @ X4 ) ) )
         => ( member318754689um_c_d @ F @ ( pi_Sum261268376um_c_d @ A4 @ B4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[407]) ).

thf(1074,plain,
    ( ( ! [A4: set_c,F: c > real > finite1398487019real_c,B4: c > set_re2066790124real_c] :
          ( ! [X4: c] :
              ( ( member_c @ X4 @ A4 )
             => ( member1321351885real_c @ ( F @ X4 ) @ ( B4 @ X4 ) ) )
         => ( member469531344real_c @ F @ ( pi_c_r41638571real_c @ A4 @ B4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[406]) ).

thf(1075,plain,
    ( ( ! [A4: set_Sum_sum_c_d,F: sum_sum_c_d > sum_sum_c_c,B4: sum_sum_c_d > set_Sum_sum_c_c] :
          ( ! [X4: sum_sum_c_d] :
              ( ( member_Sum_sum_c_d @ X4 @ A4 )
             => ( member_Sum_sum_c_c @ ( F @ X4 ) @ ( B4 @ X4 ) ) )
         => ( member71251457um_c_c @ F @ ( pi_Sum1145067928um_c_c @ A4 @ B4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[405]) ).

thf(1076,plain,
    ( ( ! [F: real > finite1398487019real_c,I: set_real,X8: real > set_Fi1407883041real_c] :
          ( ( member1321351885real_c @ F @ ( pi_rea1111636068real_c @ I @ X8 ) )
          = ( ! [X3: real] :
                ( ( member_real @ X3 @ I )
               => ( member1261661570real_c @ ( F @ X3 ) @ ( X8 @ X3 ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[404]) ).

thf(1077,plain,
    ( ( ! [F: c > c,A4: set_c,B4: c > set_c,X: c] :
          ( ( member_c_c @ F @ ( pi_c_c @ A4 @ B4 ) )
         => ( ( member_c @ X @ A4 )
           => ( member_c @ ( F @ X ) @ ( B4 @ X ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[403]) ).

thf(1078,plain,
    ( ( ! [F: sum_sum_c_c > c,A4: set_Sum_sum_c_c,B4: sum_sum_c_c > set_c,X: sum_sum_c_c] :
          ( ( member_Sum_sum_c_c_c @ F @ ( pi_Sum_sum_c_c_c @ A4 @ B4 ) )
         => ( ( member_Sum_sum_c_c @ X @ A4 )
           => ( member_c @ ( F @ X ) @ ( B4 @ X ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[402]) ).

thf(1079,plain,
    ( ( ! [F: c > sum_sum_c_c,A4: set_c,B4: c > set_Sum_sum_c_c,X: c] :
          ( ( member_c_Sum_sum_c_c @ F @ ( pi_c_Sum_sum_c_c @ A4 @ B4 ) )
         => ( ( member_c @ X @ A4 )
           => ( member_Sum_sum_c_c @ ( F @ X ) @ ( B4 @ X ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[401]) ).

thf(1080,plain,
    ( ( ! [F: c > sum_sum_c_d,A4: set_c,B4: c > set_Sum_sum_c_d,X: c] :
          ( ( member_c_Sum_sum_c_d @ F @ ( pi_c_Sum_sum_c_d @ A4 @ B4 ) )
         => ( ( member_c @ X @ A4 )
           => ( member_Sum_sum_c_d @ ( F @ X ) @ ( B4 @ X ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[400]) ).

thf(1081,plain,
    ( ( ! [F: sum_sum_c_d > c,A4: set_Sum_sum_c_d,B4: sum_sum_c_d > set_c,X: sum_sum_c_d] :
          ( ( member_Sum_sum_c_d_c @ F @ ( pi_Sum_sum_c_d_c @ A4 @ B4 ) )
         => ( ( member_Sum_sum_c_d @ X @ A4 )
           => ( member_c @ ( F @ X ) @ ( B4 @ X ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[399]) ).

thf(1082,plain,
    ( ( ! [F: real > finite1398487019real_c,A4: set_real,B4: real > set_Fi1407883041real_c,X: real] :
          ( ( member1321351885real_c @ F @ ( pi_rea1111636068real_c @ A4 @ B4 ) )
         => ( ( member_real @ X @ A4 )
           => ( member1261661570real_c @ ( F @ X ) @ ( B4 @ X ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[398]) ).

thf(1083,plain,
    ( ( ! [F: sum_sum_c_c > sum_sum_c_c,A4: set_Sum_sum_c_c,B4: sum_sum_c_c > set_Sum_sum_c_c,X: sum_sum_c_c] :
          ( ( member1326674048um_c_c @ F @ ( pi_Sum253006871um_c_c @ A4 @ B4 ) )
         => ( ( member_Sum_sum_c_c @ X @ A4 )
           => ( member_Sum_sum_c_c @ ( F @ X ) @ ( B4 @ X ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[397]) ).

thf(1084,plain,
    ( ( ! [F: sum_sum_c_c > sum_sum_c_d,A4: set_Sum_sum_c_c,B4: sum_sum_c_c > set_Sum_sum_c_d,X: sum_sum_c_c] :
          ( ( member318754689um_c_d @ F @ ( pi_Sum261268376um_c_d @ A4 @ B4 ) )
         => ( ( member_Sum_sum_c_c @ X @ A4 )
           => ( member_Sum_sum_c_d @ ( F @ X ) @ ( B4 @ X ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[396]) ).

thf(1085,plain,
    ( ( ! [F: c > real > finite1398487019real_c,A4: set_c,B4: c > set_re2066790124real_c,X: c] :
          ( ( member469531344real_c @ F @ ( pi_c_r41638571real_c @ A4 @ B4 ) )
         => ( ( member_c @ X @ A4 )
           => ( member1321351885real_c @ ( F @ X ) @ ( B4 @ X ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[395]) ).

thf(1086,plain,
    ( ( ! [F: sum_sum_c_d > sum_sum_c_c,A4: set_Sum_sum_c_d,B4: sum_sum_c_d > set_Sum_sum_c_c,X: sum_sum_c_d] :
          ( ( member71251457um_c_c @ F @ ( pi_Sum1145067928um_c_c @ A4 @ B4 ) )
         => ( ( member_Sum_sum_c_d @ X @ A4 )
           => ( member_Sum_sum_c_c @ ( F @ X ) @ ( B4 @ X ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[394]) ).

thf(1087,plain,
    ( ( ! [A4: set_real,F: real > finite1398487019real_c,G: real > finite1398487019real_c,B4: real > set_Fi1407883041real_c] :
          ( ! [W: real] :
              ( ( member_real @ W @ A4 )
             => ( ( F @ W )
                = ( G @ W ) ) )
         => ( ( member1321351885real_c @ F @ ( pi_rea1111636068real_c @ A4 @ B4 ) )
            = ( member1321351885real_c @ G @ ( pi_rea1111636068real_c @ A4 @ B4 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[393]) ).

thf(1088,plain,
    ( ( ! [A4: set_c,F: c > c,B4: set_c] :
          ( ! [X4: c] :
              ( ( member_c @ X4 @ A4 )
             => ( member_c @ ( F @ X4 ) @ B4 ) )
         => ( member_c_c @ F
            @ ( pi_c_c @ A4
              @ ^ [Uu: c] : B4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[392]) ).

thf(1089,plain,
    ( ( ! [A4: set_real,F: real > finite1398487019real_c,B4: set_Fi1407883041real_c] :
          ( ! [X4: real] :
              ( ( member_real @ X4 @ A4 )
             => ( member1261661570real_c @ ( F @ X4 ) @ B4 ) )
         => ( member1321351885real_c @ F
            @ ( pi_rea1111636068real_c @ A4
              @ ^ [Uu: real] : B4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[391]) ).

thf(1090,plain,
    ( ( ! [A4: set_Sum_sum_c_c,F: sum_sum_c_c > c,B4: set_c] :
          ( ! [X4: sum_sum_c_c] :
              ( ( member_Sum_sum_c_c @ X4 @ A4 )
             => ( member_c @ ( F @ X4 ) @ B4 ) )
         => ( member_Sum_sum_c_c_c @ F
            @ ( pi_Sum_sum_c_c_c @ A4
              @ ^ [Uu: sum_sum_c_c] : B4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[390]) ).

thf(1091,plain,
    ( ( ! [A4: set_c,F: c > sum_sum_c_c,B4: set_Sum_sum_c_c] :
          ( ! [X4: c] :
              ( ( member_c @ X4 @ A4 )
             => ( member_Sum_sum_c_c @ ( F @ X4 ) @ B4 ) )
         => ( member_c_Sum_sum_c_c @ F
            @ ( pi_c_Sum_sum_c_c @ A4
              @ ^ [Uu: c] : B4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[389]) ).

thf(1092,plain,
    ( ( ! [A4: set_c,F: c > sum_sum_c_d,B4: set_Sum_sum_c_d] :
          ( ! [X4: c] :
              ( ( member_c @ X4 @ A4 )
             => ( member_Sum_sum_c_d @ ( F @ X4 ) @ B4 ) )
         => ( member_c_Sum_sum_c_d @ F
            @ ( pi_c_Sum_sum_c_d @ A4
              @ ^ [Uu: c] : B4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[388]) ).

thf(1093,plain,
    ( ( ! [A4: set_Sum_sum_c_d,F: sum_sum_c_d > c,B4: set_c] :
          ( ! [X4: sum_sum_c_d] :
              ( ( member_Sum_sum_c_d @ X4 @ A4 )
             => ( member_c @ ( F @ X4 ) @ B4 ) )
         => ( member_Sum_sum_c_d_c @ F
            @ ( pi_Sum_sum_c_d_c @ A4
              @ ^ [Uu: sum_sum_c_d] : B4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[387]) ).

thf(1094,plain,
    ( ( ! [A4: set_Sum_sum_c_c,F: sum_sum_c_c > sum_sum_c_c,B4: set_Sum_sum_c_c] :
          ( ! [X4: sum_sum_c_c] :
              ( ( member_Sum_sum_c_c @ X4 @ A4 )
             => ( member_Sum_sum_c_c @ ( F @ X4 ) @ B4 ) )
         => ( member1326674048um_c_c @ F
            @ ( pi_Sum253006871um_c_c @ A4
              @ ^ [Uu: sum_sum_c_c] : B4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[386]) ).

thf(1095,plain,
    ( ( ! [A4: set_Sum_sum_c_c,F: sum_sum_c_c > sum_sum_c_d,B4: set_Sum_sum_c_d] :
          ( ! [X4: sum_sum_c_c] :
              ( ( member_Sum_sum_c_c @ X4 @ A4 )
             => ( member_Sum_sum_c_d @ ( F @ X4 ) @ B4 ) )
         => ( member318754689um_c_d @ F
            @ ( pi_Sum261268376um_c_d @ A4
              @ ^ [Uu: sum_sum_c_c] : B4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[385]) ).

thf(1096,plain,
    ( ( ! [A4: set_c,F: c > real > finite1398487019real_c,B4: set_re2066790124real_c] :
          ( ! [X4: c] :
              ( ( member_c @ X4 @ A4 )
             => ( member1321351885real_c @ ( F @ X4 ) @ B4 ) )
         => ( member469531344real_c @ F
            @ ( pi_c_r41638571real_c @ A4
              @ ^ [Uu: c] : B4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[384]) ).

thf(1097,plain,
    ( ( ! [A4: set_Sum_sum_c_d,F: sum_sum_c_d > sum_sum_c_c,B4: set_Sum_sum_c_c] :
          ( ! [X4: sum_sum_c_d] :
              ( ( member_Sum_sum_c_d @ X4 @ A4 )
             => ( member_Sum_sum_c_c @ ( F @ X4 ) @ B4 ) )
         => ( member71251457um_c_c @ F
            @ ( pi_Sum1145067928um_c_c @ A4
              @ ^ [Uu: sum_sum_c_d] : B4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[383]) ).

thf(1098,plain,
    ( ( ! [F: ( real > finite1398487019real_c ) > sum_sum_c_c,A4: set_re2066790124real_c,B4: set_Sum_sum_c_c,X: real > finite1398487019real_c] :
          ( ( member354622481um_c_c @ F
            @ ( pi_rea1500330408um_c_c @ A4
              @ ^ [Uu: real > finite1398487019real_c] : B4 ) )
         => ( ( member1321351885real_c @ X @ A4 )
           => ( member_Sum_sum_c_c @ ( F @ X ) @ B4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[382]) ).

thf(1099,plain,
    ( ( ! [F: ( real > finite1398487019real_c ) > c,A4: set_re2066790124real_c,B4: set_c,X: real > finite1398487019real_c] :
          ( ( member527957930al_c_c @ F
            @ ( pi_rea1228756413al_c_c @ A4
              @ ^ [Uu: real > finite1398487019real_c] : B4 ) )
         => ( ( member1321351885real_c @ X @ A4 )
           => ( member_c @ ( F @ X ) @ B4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[381]) ).

thf(1100,plain,
    ( ( ! [F: ( real > finite1398487019real_c ) > sum_sum_c_d,A4: set_re2066790124real_c,B4: set_Sum_sum_c_d,X: real > finite1398487019real_c] :
          ( ( member1494186770um_c_d @ F
            @ ( pi_rea1508591913um_c_d @ A4
              @ ^ [Uu: real > finite1398487019real_c] : B4 ) )
         => ( ( member1321351885real_c @ X @ A4 )
           => ( member_Sum_sum_c_d @ ( F @ X ) @ B4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[380]) ).

thf(1101,plain,
    ( ( ! [F: ( real > finite1398487019real_c ) > produc190496183real_c,A4: set_re2066790124real_c,B4: set_Pr1389752855real_c,X: real > finite1398487019real_c] :
          ( ( member954762593real_c @ F
            @ ( pi_rea1379668980real_c @ A4
              @ ^ [Uu: real > finite1398487019real_c] : B4 ) )
         => ( ( member1321351885real_c @ X @ A4 )
           => ( member1895684704real_c @ ( F @ X ) @ B4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[379]) ).

thf(1102,plain,
    ( ( ! [F: ( real > finite1398487019real_c ) > real > finite1398487019real_c,A4: set_re2066790124real_c,B4: set_re2066790124real_c,X: real > finite1398487019real_c] :
          ( ( member1851015714real_c @ F
            @ ( pi_rea1386151481real_c @ A4
              @ ^ [Uu: real > finite1398487019real_c] : B4 ) )
         => ( ( member1321351885real_c @ X @ A4 )
           => ( member1321351885real_c @ ( F @ X ) @ B4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[378]) ).

thf(1103,plain,
    ( ( ! [F: real > finite1398487019real_c,A4: set_real,B4: set_Fi1407883041real_c,X: real] :
          ( ( member1321351885real_c @ F
            @ ( pi_rea1111636068real_c @ A4
              @ ^ [Uu: real] : B4 ) )
         => ( ( member_real @ X @ A4 )
           => ( member1261661570real_c @ ( F @ X ) @ B4 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[377]) ).

thf(1104,plain,
    ( ( ! [X: real,Y: real] :
          ( ( if_real @ $false @ X @ Y )
          = Y ) )
    = $true ),
    inference(copy,[status(thm)],[376]) ).

thf(1105,plain,
    ( ( ! [X: real,Y: real] :
          ( ( if_real @ $true @ X @ Y )
          = X ) )
    = $true ),
    inference(copy,[status(thm)],[375]) ).

thf(1106,plain,
    ( ( ! [P: $o] :
          ( ( P = $true )
          | ( P = $false ) ) )
    = $true ),
    inference(copy,[status(thm)],[374]) ).

thf(1107,plain,
    ( ( ! [X: finite1398487019real_c,Y: finite1398487019real_c] :
          ( ( if_Fin36944805real_c @ $false @ X @ Y )
          = Y ) )
    = $true ),
    inference(copy,[status(thm)],[373]) ).

thf(1108,plain,
    ( ( ! [X: finite1398487019real_c,Y: finite1398487019real_c] :
          ( ( if_Fin36944805real_c @ $true @ X @ Y )
          = X ) )
    = $true ),
    inference(copy,[status(thm)],[372]) ).

thf(1109,plain,
    ( ( ( finite772340578real_c @ ab @ i2 )
     != ( finite772340578real_c @ ( sol @ x ) @ i2 ) )
    = $true ),
    inference(copy,[status(thm)],[740]) ).

thf(1110,plain,
    ( ( ! [SX0: set_Sum_sum_c_d,SX1: set_Sum_sum_c_d,SX2: sum_sum_c_d] :
          ( ~ ( ord_le764260924um_c_d @ SX0 @ SX1 )
          | ~ ( member_Sum_sum_c_d @ SX2 @ SX0 )
          | ( member_Sum_sum_c_d @ SX2 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[957]) ).

thf(1111,plain,
    ( ( ! [SX0: set_Sum_sum_c_d,SX1: set_Sum_sum_c_d] :
          ( ~ ! [SX2: sum_sum_c_d] :
                ( ~ ( member_Sum_sum_c_d @ SX2 @ SX0 )
                | ( member_Sum_sum_c_d @ SX2 @ SX1 ) )
          | ( ord_le764260924um_c_d @ SX0 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[895]) ).

thf(1112,plain,
    ( ( ! [SX0: real > finite1398487019real_c,SX1: set_real,SX2: set_Fi1407883041real_c,SX3: real] :
          ( ~ ( member1321351885real_c @ SX0
              @ ( pi_rea1111636068real_c @ SX1
                @ ^ [SX4: real] : SX2 ) )
          | ~ ( member_real @ SX3 @ SX1 )
          | ( member1261661570real_c @ ( SX0 @ SX3 ) @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1103]) ).

thf(1113,plain,
    ( ( ! [SX0: sum_sum_c_c > c,SX1: set_Sum_sum_c_c,SX2: sum_sum_c_c > set_c,SX3: sum_sum_c_c] :
          ( ~ ( member_Sum_sum_c_c_c @ SX0 @ ( pi_Sum_sum_c_c_c @ SX1 @ SX2 ) )
          | ~ ( member_Sum_sum_c_c @ SX3 @ SX1 )
          | ( member_c @ ( SX0 @ SX3 ) @ ( SX2 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1078]) ).

thf(1114,plain,
    ( ( ! [SX0: set_c,SX1: set_c,SX2: c] :
          ( ~ ( ord_less_eq_set_c @ SX0 @ SX1 )
          | ~ ( member_c @ SX2 @ SX0 )
          | ( member_c @ SX2 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[961]) ).

thf(1115,plain,
    ( ( ! [SX0: ( real > finite1398487019real_c ) > real > finite1398487019real_c,SX1: set_re2066790124real_c,SX2: set_re2066790124real_c,SX3: real > finite1398487019real_c] :
          ( ~ ( member1851015714real_c @ SX0
              @ ( pi_rea1386151481real_c @ SX1
                @ ^ [SX4: real > finite1398487019real_c] : SX2 ) )
          | ~ ( member1321351885real_c @ SX3 @ SX1 )
          | ( member1321351885real_c @ ( SX0 @ SX3 ) @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1102]) ).

thf(1116,plain,
    ( ( ! [SX0: finite1398487019real_c,SX1: finite1398487019real_c,SX2: finite1398487019real_c,SX3: finite1398487019real_c] :
          ( ( ( produc394644079real_c @ SX0 @ SX1 )
            = ( produc394644079real_c @ SX2 @ SX3 ) )
          = ( ~ ( ( SX0 != SX2 )
                | ( SX1 != SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[775]) ).

thf(1117,plain,
    ( ( ! [SX0: sum_sum_c_d > c,SX1: set_Sum_sum_c_d,SX2: c > $o] :
          ( ( collect_c
            @ ^ [SX3: c] :
                ~ ( ~ ( member_c @ SX3 @ ( image_Sum_sum_c_d_c @ SX0 @ SX1 ) )
                  | ~ ( SX2 @ SX3 ) ) )
          = ( image_Sum_sum_c_d_c @ SX0
            @ ( collect_Sum_sum_c_d
              @ ^ [SX3: sum_sum_c_d] :
                  ~ ( ~ ( member_Sum_sum_c_d @ SX3 @ SX1 )
                    | ~ ( SX2 @ ( SX0 @ SX3 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[992]) ).

thf(1118,plain,
    ( ( ! [SX0: set_Sum_sum_c_d,SX1: c > sum_sum_c_d,SX2: set_c] :
          ( ( ord_le764260924um_c_d @ SX0 @ ( image_c_Sum_sum_c_d @ SX1 @ SX2 ) )
          = ( ~ ! [SX3: set_c] :
                  ~ ~ ( ~ ( ord_less_eq_set_c @ SX3 @ SX2 )
                      | ( SX0
                       != ( image_c_Sum_sum_c_d @ SX1 @ SX3 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1040]) ).

thf(1119,plain,
    ( ( ! [SX0: produc190496183real_c,SX1: denota231621370t_unit,SX2: oDE_a_c,SX3: finite1398487019real_c] :
          ~ ! [SX4: produc190496183real_c] :
              ~ ~ ( ~ ( denota1997846518gree_c @ SX4 @ SX0 @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ SX1 @ SX2 ) ) )
                  | ~ ( denota1997846518gree_c @ SX4 @ ( denota1896987029_a_b_c @ SX1 @ SX2 @ SX3 ) @ ( denota1293057250_a_b_c @ SX1 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[847]) ).

thf(1120,plain,
    ( ( ~ ( osafe_a_c @ oDEa )
      | ~ ( fsafe_a_b_c @ phi )
      | ( ode != oDEa )
      | ( p != phi )
      | ~ ( ord_less_eq_real @ zero_zero_real @ t )
      | ( ( produc394644079real_c @ aa @ ba )
       != ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
      | ~ ( initia1631504802real_c @ sol
          @ ^ [SX0: real] : ( denota1275485728_a_b_c @ i @ oDEa )
          @ ( set_or656347191t_real @ zero_zero_real @ t )
          @ ( collec230941376real_c
            @ ^ [SX0: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ SX0 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) )
      | ~ ( denota256060419gree_c @ ( sol @ zero_zero_real ) @ ab
          @ ( collect_c
            @ ^ [SX0: c] :
                ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_BVO_a_c @ oDEa ) )
                | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( static_FVO_a_c @ oDEa ) ) )
                | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_FVF_a_b_c @ phi ) ) ) ) )
      | ( ab
        = ( finite557796307c_real
          @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[864]) ).

thf(1121,plain,
    ( ( ! [SX0: c,SX1: oDE_a_c] :
          ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_BVO_a_c @ SX1 ) )
          | ( member_c @ SX0 @ ( static_FVO_a_c @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[760]) ).

thf(1122,plain,
    ( ( ! [SX0: produc190496183real_c,SX1: produc190496183real_c,SX2: produc190496183real_c] :
          ( ( member1895684704real_c @ SX0 @ ( set_or385782508real_c @ SX1 @ SX2 ) )
          = ( ~ ( ~ ( ord_le850691415real_c @ SX1 @ SX0 )
                | ~ ( ord_le850691415real_c @ SX0 @ SX2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[910]) ).

thf(1123,plain,
    ( ( ! [SX0: sum_sum_c_d,SX1: c > sum_sum_c_d,SX2: c,SX3: set_c] :
          ( ( SX0
           != ( SX1 @ SX2 ) )
          | ~ ( member_c @ SX2 @ SX3 )
          | ( member_Sum_sum_c_d @ SX0 @ ( image_c_Sum_sum_c_d @ SX1 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[886]) ).

thf(1124,plain,
    ( ( ! [SX0: c,SX1: c] :
          ( ( sum_Inl_c_c @ SX0 )
         != ( sum_Inr_c_c @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[763]) ).

thf(1125,plain,
    ( ( ! [SX0: sum_sum_c_d,SX1: c > sum_sum_c_d,SX2: set_c] :
          ( ( member_Sum_sum_c_d @ SX0 @ ( image_c_Sum_sum_c_d @ SX1 @ SX2 ) )
          = ( ~ ! [SX3: c] :
                  ~ ~ ( ~ ( member_c @ SX3 @ SX2 )
                      | ( SX0
                       != ( SX1 @ SX3 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[924]) ).

thf(1126,plain,
    ( ( ! [SX0: set_c,SX1: c > real > finite1398487019real_c,SX2: set_re2066790124real_c] :
          ( ~ ! [SX3: c] :
                ( ~ ( member_c @ SX3 @ SX0 )
                | ( member1321351885real_c @ ( SX1 @ SX3 ) @ SX2 ) )
          | ( member469531344real_c @ SX1
            @ ( pi_c_r41638571real_c @ SX0
              @ ^ [SX3: c] : SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1096]) ).

thf(1127,plain,
    ( ( ~ ( ~ ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
              | ( ( finite772340578real_c @ ( produc314122909real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) ) @ i2 )
                = ( finite772340578real_c @ ( denota1275485728_a_b_c @ i @ oDEa @ ( sol @ x ) ) @ i2 ) ) )
          | ~ ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
              | ( ( finite772340578real_c @ ( produc314122909real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) ) @ i2 )
                = ( finite772340578real_c @ ( denota1275485728_a_b_c @ i @ oDEa @ ( sol @ x ) ) @ i2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[751]) ).

thf(1128,plain,
    ( ( ! [SX0: real,SX1: real,SX2: real] :
          ( ( member_real @ SX0 @ ( set_or656347191t_real @ SX1 @ SX2 ) )
          = ( ~ ( ~ ( ord_less_eq_real @ SX1 @ SX0 )
                | ~ ( ord_less_eq_real @ SX0 @ SX2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[912]) ).

thf(1129,plain,
    ( ( ! [SX0: c,SX1: sum_sum_c_c > c,SX2: set_Sum_sum_c_c] :
          ( ~ ( member_c @ SX0 @ ( image_Sum_sum_c_c_c @ SX1 @ SX2 ) )
          | ~ ! [SX3: sum_sum_c_c] :
                ( ( SX0
                 != ( SX1 @ SX3 ) )
                | ~ ( member_Sum_sum_c_c @ SX3 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[973]) ).

thf(1130,plain,
    ( ( denota256060419gree_c
      = ( ^ [SX0: finite1398487019real_c,SX1: finite1398487019real_c,SX2: set_c] :
          ! [SX3: c] :
            ( ~ ( member_c @ SX3 @ SX2 )
            | ( ( finite772340578real_c @ SX0 @ SX3 )
              = ( finite772340578real_c @ SX1 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[875]) ).

thf(1131,plain,
    ( ( ! [SX0: set_Sum_sum_c_d,SX1: sum_sum_c_d > sum_sum_c_c,SX2: set_Sum_sum_c_c] :
          ( ~ ! [SX3: sum_sum_c_d] :
                ( ~ ( member_Sum_sum_c_d @ SX3 @ SX0 )
                | ( member_Sum_sum_c_c @ ( SX1 @ SX3 ) @ SX2 ) )
          | ( ord_le1772180283um_c_c @ ( image_1558941394um_c_c @ SX1 @ SX0 ) @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1033]) ).

thf(1132,plain,
    ( ( ! [SX0: set_Sum_sum_c_c,SX1: sum_sum_c_c > $o] :
          ( ord_le1772180283um_c_c
          @ ( collect_Sum_sum_c_c
            @ ^ [SX2: sum_sum_c_c] :
                ~ ( ~ ( member_Sum_sum_c_c @ SX2 @ SX0 )
                  | ~ ( SX1 @ SX2 ) ) )
          @ SX0 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1002]) ).

thf(1133,plain,
    ( ( ! [SX0: set_Sum_sum_c_c,SX1: set_Sum_sum_c_c] :
          ( ~ ( ord_le1772180283um_c_c @ SX0 @ SX1 )
          | ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SX1 ) @ ( uminus1381786404um_c_c @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[876]) ).

thf(1134,plain,
    ( ( ! [SX0: sum_sum_c_c > sum_sum_c_d,SX1: set_Sum_sum_c_c,SX2: sum_sum_c_d > $o] :
          ( ( collect_Sum_sum_c_d
            @ ^ [SX3: sum_sum_c_d] :
                ~ ( ~ ( member_Sum_sum_c_d @ SX3 @ ( image_675141842um_c_d @ SX0 @ SX1 ) )
                  | ~ ( SX2 @ SX3 ) ) )
          = ( image_675141842um_c_d @ SX0
            @ ( collect_Sum_sum_c_c
              @ ^ [SX3: sum_sum_c_c] :
                  ~ ( ~ ( member_Sum_sum_c_c @ SX3 @ SX1 )
                    | ~ ( SX2 @ ( SX0 @ SX3 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[996]) ).

thf(1135,plain,
    ( ( ! [SX0: set_Sum_sum_c_c,SX1: sum_sum_c_c > sum_sum_c_d,SX2: sum_sum_c_c > set_Sum_sum_c_d] :
          ( ~ ! [SX3: sum_sum_c_c] :
                ( ~ ( member_Sum_sum_c_c @ SX3 @ SX0 )
                | ( member_Sum_sum_c_d @ ( SX1 @ SX3 ) @ ( SX2 @ SX3 ) ) )
          | ( member318754689um_c_d @ SX1 @ ( pi_Sum261268376um_c_d @ SX0 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1073]) ).

thf(1136,plain,
    ( ( ord_le764260924um_c_d
      = ( ^ [SX0: set_Sum_sum_c_d,SX1: set_Sum_sum_c_d] :
          ! [SX2: sum_sum_c_d] :
            ( ~ ( member_Sum_sum_c_d @ SX2 @ SX0 )
            | ( member_Sum_sum_c_d @ SX2 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[947]) ).

thf(1137,plain,
    ( ( ! [SX0: set_Sum_sum_c_d,SX1: sum_sum_c_d > c,SX2: sum_sum_c_d > set_c] :
          ( ~ ! [SX3: sum_sum_c_d] :
                ( ~ ( member_Sum_sum_c_d @ SX3 @ SX0 )
                | ( member_c @ ( SX1 @ SX3 ) @ ( SX2 @ SX3 ) ) )
          | ( member_Sum_sum_c_d_c @ SX1 @ ( pi_Sum_sum_c_d_c @ SX0 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1051]) ).

thf(1138,plain,
    ( ( ! [SX0: set_Sum_sum_c_c,SX1: set_Sum_sum_c_c] :
          ( ~ ( ord_le1772180283um_c_c @ SX0 @ SX1 )
          | ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SX1 ) @ ( uminus1381786404um_c_c @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[882]) ).

thf(1139,plain,
    ( ( ! [SX0: set_c,SX1: set_c,SX2: c > sum_sum_c_c] :
          ( ~ ( ord_less_eq_set_c @ SX0 @ SX1 )
          | ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SX2 @ SX0 ) @ ( image_c_Sum_sum_c_c @ SX2 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1023]) ).

thf(1140,plain,
    ( ( ~ ( ~ ( denota1997846518gree_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) @ ( produc394644079real_c @ ab @ bb ) @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ i @ oDEa ) ) )
          | ~ ( denota1997846518gree_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) @ ( denota1896987029_a_b_c @ i @ oDEa @ ( sol @ x ) ) @ ( denota1293057250_a_b_c @ i @ oDEa ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[818]) ).

thf(1141,plain,
    ( ( ! [SX0: c > sum_sum_c_c,SX1: set_c,SX2: sum_sum_c_c > $o] :
          ( ~ ! [SX3: sum_sum_c_c] :
                ( ~ ( member_Sum_sum_c_c @ SX3 @ ( image_c_Sum_sum_c_c @ SX0 @ SX1 ) )
                | ( SX2 @ SX3 ) )
          | ! [SX3: c] :
              ( ~ ( member_c @ SX3 @ SX1 )
              | ( SX2 @ ( SX0 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[929]) ).

thf(1142,plain,
    ( ( ! [SX0: set_Sum_sum_c_c,SX1: sum_sum_c_c > sum_sum_c_d,SX2: set_Sum_sum_c_d] :
          ( ~ ! [SX3: sum_sum_c_c] :
                ( ~ ( member_Sum_sum_c_c @ SX3 @ SX0 )
                | ( member_Sum_sum_c_d @ ( SX1 @ SX3 ) @ SX2 ) )
          | ( ord_le764260924um_c_d @ ( image_675141842um_c_d @ SX1 @ SX0 ) @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1031]) ).

thf(1143,plain,
    ( ( ! [SX0: c > sum_sum_c_c,SX1: set_c,SX2: c > set_Sum_sum_c_c,SX3: c] :
          ( ~ ( member_c_Sum_sum_c_c @ SX0 @ ( pi_c_Sum_sum_c_c @ SX1 @ SX2 ) )
          | ~ ( member_c @ SX3 @ SX1 )
          | ( member_Sum_sum_c_c @ ( SX0 @ SX3 ) @ ( SX2 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1079]) ).

thf(1144,plain,
    ( ( ord_le35002188real_c
      = ( ^ [SX0: set_re2066790124real_c,SX1: set_re2066790124real_c] :
          ! [SX2: real > finite1398487019real_c] :
            ( ~ ( member1321351885real_c @ SX2 @ SX0 )
            | ( member1321351885real_c @ SX2 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[949]) ).

thf(1145,plain,
    ( ( ! [SX0: c > sum_sum_c_d,SX1: set_c,SX2: c > set_Sum_sum_c_d,SX3: c] :
          ( ~ ( member_c_Sum_sum_c_d @ SX0 @ ( pi_c_Sum_sum_c_d @ SX1 @ SX2 ) )
          | ~ ( member_c @ SX3 @ SX1 )
          | ( member_Sum_sum_c_d @ ( SX0 @ SX3 ) @ ( SX2 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1080]) ).

thf(1146,plain,
    ( ( ! [SX0: c > sum_sum_c_d,SX1: set_c,SX2: c > set_Sum_sum_c_d,SX3: c] :
          ( ~ ( member_c_Sum_sum_c_d @ SX0 @ ( pi_c_Sum_sum_c_d @ SX1 @ SX2 ) )
          | ~ ~ ( member_Sum_sum_c_d @ ( SX0 @ SX3 ) @ ( SX2 @ SX3 ) )
          | ~ ( member_c @ SX3 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1060]) ).

thf(1147,plain,
    ( ( ! [SX0: produc190496183real_c > $o,SX1: produc190496183real_c] :
          ( ~ ! [SX2: finite1398487019real_c,SX3: finite1398487019real_c] : ( SX0 @ ( produc394644079real_c @ SX2 @ SX3 ) )
          | ( SX0 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[782]) ).

thf(1148,plain,
    ( ( ! [SX0: set_c,SX1: c > c,SX2: set_c] :
          ( ~ ! [SX3: c] :
                ( ~ ( member_c @ SX3 @ SX0 )
                | ( member_c @ ( SX1 @ SX3 ) @ SX2 ) )
          | ( member_c_c @ SX1
            @ ( pi_c_c @ SX0
              @ ^ [SX3: c] : SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1088]) ).

thf(1149,plain,
    ( ( ! [SX0: finite1398487019real_c > $o,SX1: finite1398487019real_c > $o] :
          ( ~ ! [SX2: finite1398487019real_c] :
                ( ( SX0 @ SX2 )
                = ( SX1 @ SX2 ) )
          | ( ( collec230941376real_c @ SX0 )
            = ( collec230941376real_c @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[801]) ).

thf(1150,plain,
    ( ( ! [SX0: produc190496183real_c > $o,SX1: produc190496183real_c] :
          ( ~ ! [SX2: finite1398487019real_c,SX3: finite1398487019real_c] : ( SX0 @ ( produc394644079real_c @ SX2 @ SX3 ) )
          | ( SX0 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[779]) ).

thf(1151,plain,
    ( ( ! [SX0: ( real > finite1398487019real_c ) > c,SX1: set_re2066790124real_c,SX2: set_c,SX3: real > finite1398487019real_c] :
          ( ~ ( member527957930al_c_c @ SX0
              @ ( pi_rea1228756413al_c_c @ SX1
                @ ^ [SX4: real > finite1398487019real_c] : SX2 ) )
          | ~ ( member1321351885real_c @ SX3 @ SX1 )
          | ( member_c @ ( SX0 @ SX3 ) @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1099]) ).

thf(1152,plain,
    ( ( ! [SX0: c,SX1: c > c,SX2: set_c] :
          ( ~ ( member_c @ SX0 @ ( image_c_c @ SX1 @ SX2 ) )
          | ~ ! [SX3: c] :
                ( ( SX0
                 != ( SX1 @ SX3 ) )
                | ~ ( member_c @ SX3 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[971]) ).

thf(1153,plain,
    ( ( ! [SX0: finite1398487019real_c > $o,SX1: finite1398487019real_c > $o] :
          ( ( ord_le1327118209real_c @ ( collec230941376real_c @ SX0 ) @ ( collec230941376real_c @ SX1 ) )
          = ( ! [SX2: finite1398487019real_c] :
                ( ~ ( SX0 @ SX2 )
                | ( SX1 @ SX2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[941]) ).

thf(1154,plain,
    ( ( ! [SX0: sum_sum_c_d,SX1: c > sum_sum_c_d,SX2: set_c] :
          ( ~ ( member_Sum_sum_c_d @ SX0 @ ( image_c_Sum_sum_c_d @ SX1 @ SX2 ) )
          | ~ ! [SX3: c] :
                ( ( SX0
                 != ( SX1 @ SX3 ) )
                | ~ ( member_c @ SX3 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[975]) ).

thf(1155,plain,
    ( ( ! [SX0: set_real,SX1: real > finite1398487019real_c,SX2: real > finite1398487019real_c,SX3: real > set_Fi1407883041real_c] :
          ( ~ ! [SX4: real] :
                ( ~ ( member_real @ SX4 @ SX0 )
                | ( ( SX1 @ SX4 )
                  = ( SX2 @ SX4 ) ) )
          | ( ( member1321351885real_c @ SX1 @ ( pi_rea1111636068real_c @ SX0 @ SX3 ) )
            = ( member1321351885real_c @ SX2 @ ( pi_rea1111636068real_c @ SX0 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1087]) ).

thf(1156,plain,
    ( ( ! [SX0: set_Sum_sum_c_d,SX1: sum_sum_c_d > c,SX2: set_c] :
          ( ~ ! [SX3: sum_sum_c_d] :
                ( ~ ( member_Sum_sum_c_d @ SX3 @ SX0 )
                | ( member_c @ ( SX1 @ SX3 ) @ SX2 ) )
          | ( ord_less_eq_set_c @ ( image_Sum_sum_c_d_c @ SX1 @ SX0 ) @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1029]) ).

thf(1157,plain,
    ( ( ! [SX0: sum_sum_c_c > sum_sum_c_d,SX1: set_Sum_sum_c_c,SX2: sum_sum_c_c > set_Sum_sum_c_d,SX3: sum_sum_c_c] :
          ( ~ ( member318754689um_c_d @ SX0 @ ( pi_Sum261268376um_c_d @ SX1 @ SX2 ) )
          | ~ ~ ( member_Sum_sum_c_d @ ( SX0 @ SX3 ) @ ( SX2 @ SX3 ) )
          | ~ ( member_Sum_sum_c_c @ SX3 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1065]) ).

thf(1158,plain,
    ( ( ! [SX0: real > finite1398487019real_c,SX1: set_real,SX2: real > set_Fi1407883041real_c,SX3: real] :
          ( ~ ( member1321351885real_c @ SX0 @ ( pi_rea1111636068real_c @ SX1 @ SX2 ) )
          | ~ ~ ( member1261661570real_c @ ( SX0 @ SX3 ) @ ( SX2 @ SX3 ) )
          | ~ ( member_real @ SX3 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1061]) ).

thf(1159,plain,
    ( ( ! [SX0: ( real > finite1398487019real_c ) > sum_sum_c_c,SX1: set_re2066790124real_c,SX2: set_Sum_sum_c_c,SX3: real > finite1398487019real_c] :
          ( ~ ( member354622481um_c_c @ SX0
              @ ( pi_rea1500330408um_c_c @ SX1
                @ ^ [SX4: real > finite1398487019real_c] : SX2 ) )
          | ~ ( member1321351885real_c @ SX3 @ SX1 )
          | ( member_Sum_sum_c_c @ ( SX0 @ SX3 ) @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1098]) ).

thf(1160,plain,
    ( ( ! [SX0: produc190496183real_c] :
          ~ ! [SX1: finite1398487019real_c] :
              ~ ~ ! [SX2: finite1398487019real_c] :
                    ( SX0
                   != ( produc394644079real_c @ SX1 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[783]) ).

thf(1161,plain,
    ( ( ! [SX0: sum_sum_c_d,SX1: set_Sum_sum_c_d,SX2: sum_sum_c_c,SX3: sum_sum_c_d > sum_sum_c_c] :
          ( ~ ( member_Sum_sum_c_d @ SX0 @ SX1 )
          | ( SX2
           != ( SX3 @ SX0 ) )
          | ( member_Sum_sum_c_c @ SX2 @ ( image_1558941394um_c_c @ SX3 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[939]) ).

thf(1162,plain,
    ( ( ! [SX0: c > sum_sum_c_d,SX1: set_c,SX2: set_Sum_sum_c_d] :
          ( ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SX0 @ SX1 ) @ SX2 )
          = ( ! [SX3: c] :
                ( ~ ( member_c @ SX3 @ SX1 )
                | ( member_Sum_sum_c_d @ ( SX0 @ SX3 ) @ SX2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1038]) ).

thf(1163,plain,
    ( ( ! [SX0: sum_sum_c_c,SX1: c > sum_sum_c_c,SX2: c,SX3: set_c] :
          ( ( SX0
           != ( SX1 @ SX2 ) )
          | ~ ( member_c @ SX2 @ SX3 )
          | ( member_Sum_sum_c_c @ SX0 @ ( image_c_Sum_sum_c_c @ SX1 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[885]) ).

thf(1164,plain,
    ( ( ! [SX0: produc190496183real_c,SX1: denota231621370t_unit,SX2: formula_a_b_c,SX3: formula_a_b_c] :
          ( ( ( member1895684704real_c @ SX0 @ ( denota968303861_a_b_c @ SX1 @ SX2 ) )
            = ( member1895684704real_c @ SX0 @ ( denota968303861_a_b_c @ SX1 @ SX3 ) ) )
          = ( ~ ( ~ ( ~ ( member1895684704real_c @ SX0 @ ( denota968303861_a_b_c @ SX1 @ SX2 ) )
                    | ( member1895684704real_c @ SX0 @ ( denota968303861_a_b_c @ SX1 @ SX3 ) ) )
                | ~ ( ~ ( member1895684704real_c @ SX0 @ ( denota968303861_a_b_c @ SX1 @ SX3 ) )
                    | ( member1895684704real_c @ SX0 @ ( denota968303861_a_b_c @ SX1 @ SX2 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[841]) ).

thf(1165,plain,
    ( ( ! [SX0: produc190496183real_c,SX1: set_Pr1389752855real_c] :
          ( ~ ~ ( member1895684704real_c @ SX0 @ SX1 )
          | ( member1895684704real_c @ SX0 @ ( uminus232257166real_c @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[906]) ).

thf(1166,plain,
    ( ( ~ ( ~ ( denota1997846518gree_c
              @ ( denota161327353_a_b_c @ i @ oDEa
                @ ( produc394644079real_c
                  @ ( finite557796307c_real
                    @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                  @ bb )
                @ ( finite557796307c_real
                  @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) )
              @ ( produc394644079real_c
                @ ( finite557796307c_real
                  @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                @ bb )
              @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ i @ oDEa ) ) )
          | ~ ( denota1997846518gree_c
              @ ( denota161327353_a_b_c @ i @ oDEa
                @ ( produc394644079real_c
                  @ ( finite557796307c_real
                    @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                  @ bb )
                @ ( finite557796307c_real
                  @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) )
              @ ( denota1896987029_a_b_c @ i @ oDEa
                @ ( finite557796307c_real
                  @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) )
              @ ( denota1293057250_a_b_c @ i @ oDEa ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[816]) ).

thf(1167,plain,
    ( ( ! [SX0: set_Sum_sum_c_d,SX1: sum_sum_c_d > $o] :
          ( ord_le764260924um_c_d
          @ ( collect_Sum_sum_c_d
            @ ^ [SX2: sum_sum_c_d] :
                ~ ( ~ ( member_Sum_sum_c_d @ SX2 @ SX0 )
                  | ~ ( SX1 @ SX2 ) ) )
          @ SX0 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1003]) ).

thf(1168,plain,
    ( ( ! [SX0: sum_sum_c_d > sum_sum_c_c,SX1: set_Sum_sum_c_d,SX2: sum_sum_c_d > set_Sum_sum_c_c,SX3: sum_sum_c_d] :
          ( ~ ( member71251457um_c_c @ SX0 @ ( pi_Sum1145067928um_c_c @ SX1 @ SX2 ) )
          | ~ ~ ( member_Sum_sum_c_c @ ( SX0 @ SX3 ) @ ( SX2 @ SX3 ) )
          | ~ ( member_Sum_sum_c_d @ SX3 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1063]) ).

thf(1169,plain,
    ( ( ! [SX0: d,SX1: c] :
          ( ( sum_Inr_d_c @ SX0 )
         != ( sum_Inl_c_d @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[764]) ).

thf(1170,plain,
    ( ( ! [SX0: set_c,SX1: c > c,SX2: set_c] :
          ( ~ ! [SX3: c] :
                ( ~ ( member_c @ SX3 @ SX0 )
                | ( member_c @ ( SX1 @ SX3 ) @ SX2 ) )
          | ( ord_less_eq_set_c @ ( image_c_c @ SX1 @ SX0 ) @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1025]) ).

thf(1171,plain,
    ( ( ! [SX0: produc190496183real_c,SX1: produc190496183real_c] :
          ( ~ ~ ( ( ( produc2010422875real_c @ SX0 )
                 != ( produc2010422875real_c @ SX1 ) )
                | ( ( produc314122909real_c @ SX0 )
                 != ( produc314122909real_c @ SX1 ) ) )
          | ( SX0 = SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[808]) ).

thf(1172,plain,
    ( ( ! [SX0: set_c,SX1: c > sum_sum_c_d,SX2: set_Sum_sum_c_d] :
          ( ~ ! [SX3: c] :
                ( ~ ( member_c @ SX3 @ SX0 )
                | ( member_Sum_sum_c_d @ ( SX1 @ SX3 ) @ SX2 ) )
          | ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SX1 @ SX0 ) @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1028]) ).

thf(1173,plain,
    ( ( ! [SX0: sum_sum_c_d > sum_sum_c_c,SX1: set_Sum_sum_c_d,SX2: sum_sum_c_c > $o] :
          ( ( collect_Sum_sum_c_c
            @ ^ [SX3: sum_sum_c_c] :
                ~ ( ~ ( member_Sum_sum_c_c @ SX3 @ ( image_1558941394um_c_c @ SX0 @ SX1 ) )
                  | ~ ( SX2 @ SX3 ) ) )
          = ( image_1558941394um_c_c @ SX0
            @ ( collect_Sum_sum_c_d
              @ ^ [SX3: sum_sum_c_d] :
                  ~ ( ~ ( member_Sum_sum_c_d @ SX3 @ SX1 )
                    | ~ ( SX2 @ ( SX0 @ SX3 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[995]) ).

thf(1174,plain,
    ( ( ! [SX0: c > sum_sum_c_c,SX1: set_c,SX2: set_Sum_sum_c_c] :
          ( ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SX0 @ SX1 ) @ SX2 )
          = ( ! [SX3: c] :
                ( ~ ( member_c @ SX3 @ SX1 )
                | ( member_Sum_sum_c_c @ ( SX0 @ SX3 ) @ SX2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1037]) ).

thf(1175,plain,
    ( ( ! [SX0: set_re2066790124real_c,SX1: set_re2066790124real_c,SX2: real > finite1398487019real_c] :
          ( ~ ( ord_le35002188real_c @ SX0 @ SX1 )
          | ~ ( member1321351885real_c @ SX2 @ SX0 )
          | ( member1321351885real_c @ SX2 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[964]) ).

thf(1176,plain,
    ( ( ! [SX0: real,SX1: real,SX2: real,SX3: real] :
          ( ( ( set_or656347191t_real @ SX0 @ SX1 )
            = ( set_or656347191t_real @ SX2 @ SX3 ) )
          = ( ~ ( ( SX0 != SX2 )
                | ( SX1 != SX3 ) )
            | ~ ( ~ ~ ( ord_less_eq_real @ SX0 @ SX1 )
                | ~ ~ ( ord_less_eq_real @ SX2 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[909]) ).

thf(1177,plain,
    ( ( ! [SX0: real > finite1398487019real_c,SX1: set_re2066790124real_c] :
          ( ~ ( member1321351885real_c @ SX0 @ ( uminus946614837real_c @ SX1 ) )
          | ~ ( member1321351885real_c @ SX0 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[969]) ).

thf(1178,plain,
    ( ( ! [SX0: denota231621370t_unit,SX1: oDE_a_c,SX2: produc190496183real_c,SX3: finite1398487019real_c,SX4: produc190496183real_c] :
          ( ( ( denota310462944_a_b_c @ SX0 @ SX1 @ SX2 @ SX3 )
           != SX4 )
          | ( SX4
            = ( produc394644079real_c
              @ ( finite557796307c_real
                @ ^ [SX5: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX5 ) @ ( denota1293057250_a_b_c @ SX0 @ SX1 ) ) @ SX3 @ ( produc2010422875real_c @ SX2 ) ) @ SX5 ) )
              @ ( finite557796307c_real
                @ ^ [SX5: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SX5 ) @ ( denota1293057250_a_b_c @ SX0 @ SX1 ) ) @ ( denota1275485728_a_b_c @ SX0 @ SX1 @ SX3 ) @ ( produc314122909real_c @ SX2 ) ) @ SX5 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[820]) ).

thf(1179,plain,
    ( ( ! [SX0: set_Pr1389752855real_c,SX1: set_Pr1389752855real_c,SX2: produc190496183real_c] :
          ( ~ ( ord_le977353143real_c @ SX0 @ SX1 )
          | ~ ( member1895684704real_c @ SX2 @ SX0 )
          | ( member1895684704real_c @ SX2 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[963]) ).

thf(1180,plain,
    ( ( ! [SX0: produc190496183real_c,SX1: produc190496183real_c] :
          ( ( ( produc2010422875real_c @ SX0 )
           != ( produc2010422875real_c @ SX1 ) )
          | ( ( produc314122909real_c @ SX0 )
           != ( produc314122909real_c @ SX1 ) )
          | ( SX0 = SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[809]) ).

thf(1181,plain,
    ( ( ! [SX0: c > finite1398487019real_c,SX1: set_c,SX2: finite1398487019real_c > $o] :
          ( ( collec230941376real_c
            @ ^ [SX3: finite1398487019real_c] :
                ~ ( ~ ( member1261661570real_c @ SX3 @ ( image_687300774real_c @ SX0 @ SX1 ) )
                  | ~ ( SX2 @ SX3 ) ) )
          = ( image_687300774real_c @ SX0
            @ ( collect_c
              @ ^ [SX3: c] :
                  ~ ( ~ ( member_c @ SX3 @ SX1 )
                    | ~ ( SX2 @ ( SX0 @ SX3 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[990]) ).

thf(1182,plain,
    ( ( ! [SX0: produc190496183real_c,SX1: produc190496183real_c,SX2: set_Sum_sum_c_c] :
          ( ~ ( denota1997846518gree_c @ SX0 @ SX1 @ SX2 )
          | ( denota1997846518gree_c @ SX1 @ SX0 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[856]) ).

thf(1183,plain,
    ( ( ! [SX0: set_Sum_sum_c_d,SX1: sum_sum_c_d > sum_sum_c_d,SX2: set_Sum_sum_c_d] :
          ( ~ ! [SX3: sum_sum_c_d] :
                ( ~ ( member_Sum_sum_c_d @ SX3 @ SX0 )
                | ( member_Sum_sum_c_d @ ( SX1 @ SX3 ) @ SX2 ) )
          | ( ord_le764260924um_c_d @ ( image_1567202899um_c_d @ SX1 @ SX0 ) @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1034]) ).

thf(1184,plain,
    ( ( ! [SX0: sum_sum_c_d > c,SX1: set_Sum_sum_c_d,SX2: sum_sum_c_d > set_c,SX3: sum_sum_c_d] :
          ( ~ ( member_Sum_sum_c_d_c @ SX0 @ ( pi_Sum_sum_c_d_c @ SX1 @ SX2 ) )
          | ~ ( member_Sum_sum_c_d @ SX3 @ SX1 )
          | ( member_c @ ( SX0 @ SX3 ) @ ( SX2 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1081]) ).

thf(1185,plain,
    ( ( ! [SX0: set_c,SX1: set_c,SX2: c] :
          ( ~ ( ord_less_eq_set_c @ SX0 @ SX1 )
          | ~ ( member_c @ SX2 @ SX0 )
          | ( member_c @ SX2 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[956]) ).

thf(1186,plain,
    ( ( ! [SX0: real] :
          ( ~ ( ord_less_eq_real @ zero_zero_real @ SX0 )
          | ~ ( ord_less_eq_real @ SX0 @ t )
          | ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ SX0 ) ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[840]) ).

thf(1187,plain,
    ( ( ! [SX0: sum_sum_c_c,SX1: set_Sum_sum_c_c,SX2: sum_sum_c_c > sum_sum_c_d] :
          ( ~ ( member_Sum_sum_c_c @ SX0 @ SX1 )
          | ( member_Sum_sum_c_d @ ( SX2 @ SX0 ) @ ( image_675141842um_c_d @ SX2 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[919]) ).

thf(1188,plain,
    ( ( ! [SX0: set_Sum_sum_c_c,SX1: sum_sum_c_c > sum_sum_c_c,SX2: set_Sum_sum_c_c] :
          ( ~ ! [SX3: sum_sum_c_c] :
                ( ~ ( member_Sum_sum_c_c @ SX3 @ SX0 )
                | ( member_Sum_sum_c_c @ ( SX1 @ SX3 ) @ SX2 ) )
          | ( member1326674048um_c_c @ SX1
            @ ( pi_Sum253006871um_c_c @ SX0
              @ ^ [SX3: sum_sum_c_c] : SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1094]) ).

thf(1189,plain,
    ( ( ! [SX0: sum_sum_c_d,SX1: set_Sum_sum_c_d] :
          ( ~ ( member_Sum_sum_c_d @ SX0 @ ( uminus373867045um_c_d @ SX1 ) )
          | ~ ( member_Sum_sum_c_d @ SX0 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[967]) ).

thf(1190,plain,
    ( ( ! [SX0: set_real,SX1: real > finite1398487019real_c,SX2: real > set_Fi1407883041real_c] :
          ( ~ ! [SX3: real] :
                ( ~ ( member_real @ SX3 @ SX0 )
                | ( member1261661570real_c @ ( SX1 @ SX3 ) @ ( SX2 @ SX3 ) ) )
          | ( member1321351885real_c @ SX1 @ ( pi_rea1111636068real_c @ SX0 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1047]) ).

thf(1191,plain,
    ( ( denota1997846518gree_c
      = ( ^ [SX0: produc190496183real_c,SX1: produc190496183real_c,SX2: set_Sum_sum_c_c] :
            ~ ( ~ ! [SX3: c] :
                    ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX3 ) @ SX2 )
                    | ( ( finite772340578real_c @ ( produc2010422875real_c @ SX0 ) @ SX3 )
                      = ( finite772340578real_c @ ( produc2010422875real_c @ SX1 ) @ SX3 ) ) )
              | ~ ! [SX3: c] :
                    ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SX3 ) @ SX2 )
                    | ( ( finite772340578real_c @ ( produc314122909real_c @ SX0 ) @ SX3 )
                      = ( finite772340578real_c @ ( produc314122909real_c @ SX1 ) @ SX3 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[817]) ).

thf(1192,plain,
    ( ( ! [SX0: sum_sum_c_c,SX1: set_Sum_sum_c_c] :
          ( ~ ( member_Sum_sum_c_c @ SX0 @ ( uminus1381786404um_c_c @ SX1 ) )
          | ~ ( member_Sum_sum_c_c @ SX0 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[970]) ).

thf(1193,plain,
    ( ( ~ ( ~ ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
              | ~ ( ~ ( ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
                      | ( ( finite772340578real_c
                          @ ( produc2010422875real_c
                            @ ( denota161327353_a_b_c @ i @ oDEa
                              @ ( produc394644079real_c
                                @ ( finite557796307c_real
                                  @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                                @ bb )
                              @ ( finite557796307c_real
                                @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
                          @ i2 )
                        = ( finite772340578real_c @ ( sol @ x ) @ i2 ) ) )
                  | ~ ( ~ ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
                      | ( ( finite772340578real_c
                          @ ( produc2010422875real_c
                            @ ( denota161327353_a_b_c @ i @ oDEa
                              @ ( produc394644079real_c
                                @ ( finite557796307c_real
                                  @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                                @ bb )
                              @ ( finite557796307c_real
                                @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
                          @ i2 )
                        = ( finite772340578real_c @ ab @ i2 ) ) ) ) )
          | ~ ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
              | ~ ( ~ ( ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
                      | ( ( finite772340578real_c
                          @ ( produc2010422875real_c
                            @ ( denota161327353_a_b_c @ i @ oDEa
                              @ ( produc394644079real_c
                                @ ( finite557796307c_real
                                  @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                                @ bb )
                              @ ( finite557796307c_real
                                @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
                          @ i2 )
                        = ( finite772340578real_c @ ( sol @ x ) @ i2 ) ) )
                  | ~ ( ~ ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
                      | ( ( finite772340578real_c
                          @ ( produc2010422875real_c
                            @ ( denota161327353_a_b_c @ i @ oDEa
                              @ ( produc394644079real_c
                                @ ( finite557796307c_real
                                  @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                                @ bb )
                              @ ( finite557796307c_real
                                @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
                          @ i2 )
                        = ( finite772340578real_c @ ab @ i2 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[748]) ).

thf(1194,plain,
    ( ( ! [SX0: set_c,SX1: c > c,SX2: c > set_c] :
          ( ~ ! [SX3: c] :
                ( ~ ( member_c @ SX3 @ SX0 )
                | ( member_c @ ( SX1 @ SX3 ) @ ( SX2 @ SX3 ) ) )
          | ( member_c_c @ SX1 @ ( pi_c_c @ SX0 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1046]) ).

thf(1195,plain,
    ( ( ! [SX0: set_Sum_sum_c_c,SX1: c > sum_sum_c_c,SX2: set_c] :
          ( ~ ( ord_le1772180283um_c_c @ SX0 @ ( image_c_Sum_sum_c_c @ SX1 @ SX2 ) )
          | ~ ! [SX3: set_c] :
                ( ~ ( ord_less_eq_set_c @ SX3 @ SX2 )
                | ( SX0
                 != ( image_c_Sum_sum_c_c @ SX1 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1035]) ).

thf(1196,plain,
    ( ( ! [SX0: set_Sum_sum_c_d,SX1: sum_sum_c_d > sum_sum_c_c,SX2: set_Sum_sum_c_c] :
          ( ~ ! [SX3: sum_sum_c_d] :
                ( ~ ( member_Sum_sum_c_d @ SX3 @ SX0 )
                | ( member_Sum_sum_c_c @ ( SX1 @ SX3 ) @ SX2 ) )
          | ( member71251457um_c_c @ SX1
            @ ( pi_Sum1145067928um_c_c @ SX0
              @ ^ [SX3: sum_sum_c_d] : SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1097]) ).

thf(1197,plain,
    ( ( ! [SX0: set_re2066790124real_c,SX1: set_re2066790124real_c,SX2: real > finite1398487019real_c] :
          ( ~ ( ord_le35002188real_c @ SX0 @ SX1 )
          | ~ ( member1321351885real_c @ SX2 @ SX0 )
          | ( member1321351885real_c @ SX2 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[959]) ).

thf(1198,plain,
    ( ( ! [SX0: finite1398487019real_c,SX1: finite1398487019real_c,SX2: finite1398487019real_c,SX3: finite1398487019real_c] :
          ( ( ( produc394644079real_c @ SX0 @ SX1 )
            = ( produc394644079real_c @ SX2 @ SX3 ) )
          = ( ~ ( ( SX0 != SX2 )
                | ( SX1 != SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[774]) ).

thf(1199,plain,
    ( ( ! [SX0: finite1398487019real_c,SX1: finite1398487019real_c,SX2: finite1398487019real_c] :
          ( ( ( produc314122909real_c @ ( produc394644079real_c @ SX0 @ SX1 ) )
           != SX2 )
          | ( SX1 = SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[806]) ).

thf(1200,plain,
    ( ( ! [SX0: set_Sum_sum_c_c,SX1: sum_sum_c_c > sum_sum_c_d,SX2: sum_sum_c_c > set_Sum_sum_c_d] :
          ( ~ ! [SX3: sum_sum_c_c] :
                ( ~ ( member_Sum_sum_c_c @ SX3 @ SX0 )
                | ( member_Sum_sum_c_d @ ( SX1 @ SX3 ) @ ( SX2 @ SX3 ) ) )
          | ( member318754689um_c_d @ SX1 @ ( pi_Sum261268376um_c_d @ SX0 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1053]) ).

thf(1201,plain,
    ( ( ! [SX0: real,SX1: real] :
          ( ~ ( ord_less_eq_real @ SX0 @ SX1 )
          | ( ord_less_eq_real @ ( uminus_uminus_real @ SX1 ) @ ( uminus_uminus_real @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[842]) ).

thf(1202,plain,
    ( ( ! [SX0: denota231621370t_unit,SX1: oDE_a_c,SX2: produc190496183real_c,SX3: finite1398487019real_c] :
          ~ ( ~ ( denota1997846518gree_c @ ( denota161327353_a_b_c @ SX0 @ SX1 @ SX2 @ SX3 ) @ SX2 @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ SX0 @ SX1 ) ) )
            | ~ ( denota1997846518gree_c @ ( denota161327353_a_b_c @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( denota1896987029_a_b_c @ SX0 @ SX1 @ SX3 ) @ ( denota1293057250_a_b_c @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[851]) ).

thf(1203,plain,
    ( ( ! [SX0: c,SX1: denota231621370t_unit,SX2: oDE_a_c] :
          ( ~ ( member_c @ SX0 @ ( denota540094197_a_b_c @ SX1 @ SX2 ) )
          | ( member_c @ SX0 @ ( static_FVO_a_c @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[752]) ).

thf(1204,plain,
    ( ( ! [SX0: real > finite1398487019real_c,SX1: set_re2066790124real_c] :
          ( ~ ~ ( member1321351885real_c @ SX0 @ SX1 )
          | ( member1321351885real_c @ SX0 @ ( uminus946614837real_c @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[907]) ).

thf(1205,plain,
    ( ( ord_le1772180283um_c_c
      = ( ^ [SX0: set_Sum_sum_c_c,SX1: set_Sum_sum_c_c] :
          ! [SX2: sum_sum_c_c] :
            ( ~ ( member_Sum_sum_c_c @ SX2 @ SX0 )
            | ( member_Sum_sum_c_c @ SX2 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[945]) ).

thf(1206,plain,
    ( ( ! [SX0: c,SX1: d] :
          ( ( sum_Inl_c_d @ SX0 )
         != ( sum_Inr_d_c @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[762]) ).

thf(1207,plain,
    ( ( ! [SX0: sum_sum_c_c,SX1: set_Sum_sum_c_c,SX2: c,SX3: sum_sum_c_c > c] :
          ( ~ ( member_Sum_sum_c_c @ SX0 @ SX1 )
          | ( SX2
           != ( SX3 @ SX0 ) )
          | ( member_c @ SX2 @ ( image_Sum_sum_c_c_c @ SX3 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[932]) ).

thf(1208,plain,
    ( ( ! [SX0: set_Sum_sum_c_c,SX1: sum_sum_c_c > c,SX2: set_c] :
          ( ~ ! [SX3: sum_sum_c_c] :
                ( ~ ( member_Sum_sum_c_c @ SX3 @ SX0 )
                | ( member_c @ ( SX1 @ SX3 ) @ SX2 ) )
          | ( ord_less_eq_set_c @ ( image_Sum_sum_c_c_c @ SX1 @ SX0 ) @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1026]) ).

thf(1209,plain,
    ( ( ! [SX0: finite1398487019real_c,SX1: finite1398487019real_c,SX2: finite1398487019real_c,SX3: finite1398487019real_c] :
          ( ~ ( ord_le775706699real_c @ SX0 @ SX1 )
          | ~ ( ord_le775706699real_c @ SX2 @ SX3 )
          | ( ord_le850691415real_c @ ( produc394644079real_c @ SX0 @ SX2 ) @ ( produc394644079real_c @ SX1 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[857]) ).

thf(1210,plain,
    ( ( ! [SX0: sum_sum_c_c,SX1: sum_sum_c_d > sum_sum_c_c,SX2: set_Sum_sum_c_d] :
          ( ~ ( member_Sum_sum_c_c @ SX0 @ ( image_1558941394um_c_c @ SX1 @ SX2 ) )
          | ~ ! [SX3: sum_sum_c_d] :
                ( ( SX0
                 != ( SX1 @ SX3 ) )
                | ~ ( member_Sum_sum_c_d @ SX3 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[977]) ).

thf(1211,plain,
    ( ( ! [SX0: set_c,SX1: c > real > finite1398487019real_c,SX2: c > set_re2066790124real_c] :
          ( ~ ! [SX3: c] :
                ( ~ ( member_c @ SX3 @ SX0 )
                | ( member1321351885real_c @ ( SX1 @ SX3 ) @ ( SX2 @ SX3 ) ) )
          | ( member469531344real_c @ SX1 @ ( pi_c_r41638571real_c @ SX0 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1074]) ).

thf(1212,plain,
    ( ( ord_le1772180283um_c_c
      = ( ^ [SX0: set_Sum_sum_c_c,SX1: set_Sum_sum_c_c] :
          ! [SX2: sum_sum_c_c] :
            ( ~ ( member_Sum_sum_c_c @ SX2 @ SX0 )
            | ( member_Sum_sum_c_c @ SX2 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[950]) ).

thf(1213,plain,
    ( ( ! [SX0: set_c,SX1: set_c] :
          ( ~ ! [SX2: c] :
                ( ~ ( member_c @ SX2 @ SX0 )
                | ( member_c @ SX2 @ SX1 ) )
          | ( ord_less_eq_set_c @ SX0 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[894]) ).

thf(1214,plain,
    ( ( ! [SX0: sum_sum_c_d > c,SX1: set_Sum_sum_c_d,SX2: sum_sum_c_d > set_c,SX3: sum_sum_c_d] :
          ( ~ ( member_Sum_sum_c_d_c @ SX0 @ ( pi_Sum_sum_c_d_c @ SX1 @ SX2 ) )
          | ~ ~ ( member_c @ ( SX0 @ SX3 ) @ ( SX2 @ SX3 ) )
          | ~ ( member_Sum_sum_c_d @ SX3 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1059]) ).

thf(1215,plain,
    ( ( ! [SX0: set_Sum_sum_c_c,SX1: set_Sum_sum_c_c] :
          ( ~ ( ord_le1772180283um_c_c @ SX0 @ ( uminus1381786404um_c_c @ SX1 ) )
          | ( ord_le1772180283um_c_c @ SX1 @ ( uminus1381786404um_c_c @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[877]) ).

thf(1216,plain,
    ( ( ! [SX0: produc190496183real_c,SX1: set_Pr1389752855real_c] :
          ( ~ ( member1895684704real_c @ SX0 @ ( uminus232257166real_c @ SX1 ) )
          | ~ ( member1895684704real_c @ SX0 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[968]) ).

thf(1217,plain,
    ( ( ! [SX0: real > finite1398487019real_c,SX1: set_real,SX2: real > set_Fi1407883041real_c,SX3: real] :
          ( ~ ( member1321351885real_c @ SX0 @ ( pi_rea1111636068real_c @ SX1 @ SX2 ) )
          | ~ ( member_real @ SX3 @ SX1 )
          | ( member1261661570real_c @ ( SX0 @ SX3 ) @ ( SX2 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1082]) ).

thf(1218,plain,
    ( ( ! [SX0: set_Sum_sum_c_c,SX1: set_Sum_sum_c_c,SX2: produc190496183real_c,SX3: produc190496183real_c] :
          ( ~ ( ord_le1772180283um_c_c @ SX0 @ SX1 )
          | ~ ( denota1997846518gree_c @ SX2 @ SX3 @ SX1 )
          | ( denota1997846518gree_c @ SX2 @ SX3 @ SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[846]) ).

thf(1219,plain,
    ( ( ! [SX0: c > real > finite1398487019real_c,SX1: set_c,SX2: c > set_re2066790124real_c,SX3: c] :
          ( ~ ( member469531344real_c @ SX0 @ ( pi_c_r41638571real_c @ SX1 @ SX2 ) )
          | ~ ( member_c @ SX3 @ SX1 )
          | ( member1321351885real_c @ ( SX0 @ SX3 ) @ ( SX2 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1085]) ).

thf(1220,plain,
    ( ( ! [SX0: c,SX1: set_c,SX2: sum_sum_c_c,SX3: c > sum_sum_c_c] :
          ( ~ ( member_c @ SX0 @ SX1 )
          | ( SX2
           != ( SX3 @ SX0 ) )
          | ( member_Sum_sum_c_c @ SX2 @ ( image_c_Sum_sum_c_c @ SX3 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[933]) ).

thf(1221,plain,
    ( ( ! [SX0: finite1398487019real_c > $o,SX1: finite1398487019real_c > $o] :
          ( ~ ! [SX2: finite1398487019real_c] :
                ( ~ ( SX0 @ SX2 )
                | ( SX1 @ SX2 ) )
          | ( ord_le1327118209real_c @ ( collec230941376real_c @ SX0 ) @ ( collec230941376real_c @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[943]) ).

thf(1222,plain,
    ( ( ! [SX0: sum_sum_c_d,SX1: sum_sum_c_d > sum_sum_c_d,SX2: sum_sum_c_d,SX3: set_Sum_sum_c_d] :
          ( ( SX0
           != ( SX1 @ SX2 ) )
          | ~ ( member_Sum_sum_c_d @ SX2 @ SX3 )
          | ( member_Sum_sum_c_d @ SX0 @ ( image_1567202899um_c_d @ SX1 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[892]) ).

thf(1223,plain,
    ( ( ! [SX0: set_Sum_sum_c_c,SX1: sum_sum_c_c > c,SX2: set_c] :
          ( ~ ! [SX3: sum_sum_c_c] :
                ( ~ ( member_Sum_sum_c_c @ SX3 @ SX0 )
                | ( member_c @ ( SX1 @ SX3 ) @ SX2 ) )
          | ( member_Sum_sum_c_c_c @ SX1
            @ ( pi_Sum_sum_c_c_c @ SX0
              @ ^ [SX3: sum_sum_c_c] : SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1090]) ).

thf(1224,plain,
    ( ( ! [SX0: c > c,SX1: set_c,SX2: c > $o] :
          ( ( collect_c
            @ ^ [SX3: c] :
                ~ ( ~ ( member_c @ SX3 @ ( image_c_c @ SX0 @ SX1 ) )
                  | ~ ( SX2 @ SX3 ) ) )
          = ( image_c_c @ SX0
            @ ( collect_c
              @ ^ [SX3: c] :
                  ~ ( ~ ( member_c @ SX3 @ SX1 )
                    | ~ ( SX2 @ ( SX0 @ SX3 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[987]) ).

thf(1225,plain,
    ( ( ord_less_eq_set_c
      = ( ^ [SX0: set_c,SX1: set_c] :
          ! [SX2: c] :
            ( ~ ( member_c @ SX2 @ SX0 )
            | ( member_c @ SX2 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[946]) ).

thf(1226,plain,
    ( ( ! [SX0: real > finite1398487019real_c,SX1: real > finite1398487019real_c,SX2: real > finite1398487019real_c] :
          ( ( member1321351885real_c @ SX0 @ ( set_or1308937537real_c @ SX1 @ SX2 ) )
          = ( ~ ( ~ ( ord_le584953750real_c @ SX1 @ SX0 )
                | ~ ( ord_le584953750real_c @ SX0 @ SX2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[911]) ).

thf(1227,plain,
    ( ( ! [SX0: c > sum_sum_c_d,SX1: set_c,SX2: sum_sum_c_d > $o] :
          ( ~ ! [SX3: sum_sum_c_d] :
                ( ~ ( member_Sum_sum_c_d @ SX3 @ ( image_c_Sum_sum_c_d @ SX0 @ SX1 ) )
                | ( SX2 @ SX3 ) )
          | ! [SX3: c] :
              ( ~ ( member_c @ SX3 @ SX1 )
              | ( SX2 @ ( SX0 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[930]) ).

thf(1228,plain,
    ( ( ! [SX0: sum_sum_c_c,SX1: c > sum_sum_c_c,SX2: set_c] :
          ( ( member_Sum_sum_c_c @ SX0 @ ( image_c_Sum_sum_c_c @ SX1 @ SX2 ) )
          = ( ~ ! [SX3: c] :
                  ~ ~ ( ~ ( member_c @ SX3 @ SX2 )
                      | ( SX0
                       != ( SX1 @ SX3 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[923]) ).

thf(1229,plain,
    ( ( ! [SX0: c > c,SX1: set_c,SX2: c > set_c,SX3: c] :
          ( ~ ( member_c_c @ SX0 @ ( pi_c_c @ SX1 @ SX2 ) )
          | ~ ( member_c @ SX3 @ SX1 )
          | ( member_c @ ( SX0 @ SX3 ) @ ( SX2 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1077]) ).

thf(1230,plain,
    ( ( ~ ~ ( ~ ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
            | ~ ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) ) )
      | ~ ( ~ ( ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
              | ( ( finite772340578real_c
                  @ ( produc2010422875real_c
                    @ ( denota161327353_a_b_c @ i @ oDEa
                      @ ( produc394644079real_c
                        @ ( finite557796307c_real
                          @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                        @ bb )
                      @ ( finite557796307c_real
                        @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
                  @ i2 )
                = ( finite772340578real_c @ ( sol @ zero_zero_real ) @ i2 ) ) )
          | ~ ( ~ ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
              | ( ( finite772340578real_c
                  @ ( produc2010422875real_c
                    @ ( denota161327353_a_b_c @ i @ oDEa
                      @ ( produc394644079real_c
                        @ ( finite557796307c_real
                          @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                        @ bb )
                      @ ( finite557796307c_real
                        @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
                  @ i2 )
                = ( finite772340578real_c @ ab @ i2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[744]) ).

thf(1231,plain,
    ( ( ! [SX0: set_Sum_sum_c_c,SX1: sum_sum_c_c > sum_sum_c_c,SX2: sum_sum_c_c > set_Sum_sum_c_c] :
          ( ~ ! [SX3: sum_sum_c_c] :
                ( ~ ( member_Sum_sum_c_c @ SX3 @ SX0 )
                | ( member_Sum_sum_c_c @ ( SX1 @ SX3 ) @ ( SX2 @ SX3 ) ) )
          | ( member1326674048um_c_c @ SX1 @ ( pi_Sum253006871um_c_c @ SX0 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1072]) ).

thf(1232,plain,
    ( ( ! [SX0: c,SX1: set_c,SX2: c > c] :
          ( ~ ( member_c @ SX0 @ SX1 )
          | ( member_c @ ( SX2 @ SX0 ) @ ( image_c_c @ SX2 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[913]) ).

thf(1233,plain,
    ( ( ! [SX0: set_real,SX1: real > finite1398487019real_c,SX2: real > set_Fi1407883041real_c] :
          ( ~ ! [SX3: real] :
                ( ~ ( member_real @ SX3 @ SX0 )
                | ( member1261661570real_c @ ( SX1 @ SX3 ) @ ( SX2 @ SX3 ) ) )
          | ( member1321351885real_c @ SX1 @ ( pi_rea1111636068real_c @ SX0 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1067]) ).

thf(1234,plain,
    ( ( ! [SX0: sum_sum_c_c,SX1: sum_sum_c_d > sum_sum_c_c,SX2: sum_sum_c_d,SX3: set_Sum_sum_c_d] :
          ( ( SX0
           != ( SX1 @ SX2 ) )
          | ~ ( member_Sum_sum_c_d @ SX2 @ SX3 )
          | ( member_Sum_sum_c_c @ SX0 @ ( image_1558941394um_c_c @ SX1 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[891]) ).

thf(1235,plain,
    ( ( ! [SX0: sum_sum_c_c,SX1: set_Sum_sum_c_c,SX2: sum_sum_c_c,SX3: sum_sum_c_c > sum_sum_c_c] :
          ( ~ ( member_Sum_sum_c_c @ SX0 @ SX1 )
          | ( SX2
           != ( SX3 @ SX0 ) )
          | ( member_Sum_sum_c_c @ SX2 @ ( image_666880337um_c_c @ SX3 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[936]) ).

thf(1236,plain,
    ( ( ! [SX0: set_c,SX1: set_c,SX2: c > sum_sum_c_c,SX3: c > sum_sum_c_c] :
          ( ( SX0 != SX1 )
          | ~ ! [SX4: c] :
                ( ~ ( member_c @ SX4 @ SX1 )
                | ( ( SX2 @ SX4 )
                  = ( SX3 @ SX4 ) ) )
          | ( ( image_c_Sum_sum_c_c @ SX2 @ SX0 )
            = ( image_c_Sum_sum_c_c @ SX3 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[927]) ).

thf(1237,plain,
    ( ( ! [SX0: set_c,SX1: set_c,SX2: finite1398487019real_c,SX3: finite1398487019real_c] :
          ( ~ ( ord_less_eq_set_c @ SX0 @ SX1 )
          | ~ ( denota256060419gree_c @ SX2 @ SX3 @ SX1 )
          | ( denota256060419gree_c @ SX2 @ SX3 @ SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[872]) ).

thf(1238,plain,
    ( ( ! [SX0: sum_sum_c_c,SX1: c > sum_sum_c_c,SX2: set_c] :
          ( ~ ( member_Sum_sum_c_c @ SX0 @ ( image_c_Sum_sum_c_c @ SX1 @ SX2 ) )
          | ~ ! [SX3: c] :
                ( ( SX0
                 != ( SX1 @ SX3 ) )
                | ~ ( member_c @ SX3 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[972]) ).

thf(1239,plain,
    ( ( ! [SX0: c,SX1: set_c,SX2: c > sum_sum_c_c] :
          ( ~ ( member_c @ SX0 @ SX1 )
          | ( member_Sum_sum_c_c @ ( SX2 @ SX0 ) @ ( image_c_Sum_sum_c_c @ SX2 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[915]) ).

thf(1240,plain,
    ( ( ! [SX0: sum_sum_c_c > sum_sum_c_c,SX1: set_Sum_sum_c_c,SX2: sum_sum_c_c > set_Sum_sum_c_c,SX3: sum_sum_c_c] :
          ( ~ ( member1326674048um_c_c @ SX0 @ ( pi_Sum253006871um_c_c @ SX1 @ SX2 ) )
          | ~ ( member_Sum_sum_c_c @ SX3 @ SX1 )
          | ( member_Sum_sum_c_c @ ( SX0 @ SX3 ) @ ( SX2 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1083]) ).

thf(1241,plain,
    ( ( ! [SX0: set_Sum_sum_c_c,SX1: set_Sum_sum_c_c,SX2: sum_sum_c_c] :
          ( ~ ( ord_le1772180283um_c_c @ SX0 @ SX1 )
          | ~ ( member_Sum_sum_c_c @ SX2 @ SX0 )
          | ( member_Sum_sum_c_c @ SX2 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[960]) ).

thf(1242,plain,
    ( ( ! [SX0: real,SX1: real,SX2: real,SX3: real] :
          ( ( ord_le1342644953l_real @ ( produc705216881l_real @ SX0 @ SX1 ) @ ( produc705216881l_real @ SX2 @ SX3 ) )
          = ( ~ ( ~ ( ord_less_eq_real @ SX0 @ SX2 )
                | ~ ( ord_less_eq_real @ SX1 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[822]) ).

thf(1243,plain,
    ( ( ! [SX0: c,SX1: set_c] :
          ( ~ ~ ( member_c @ SX0 @ SX1 )
          | ( member_c @ SX0 @ ( uminus_uminus_set_c @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[904]) ).

thf(1244,plain,
    ( ( ! [SX0: real,SX1: real,SX2: real,SX3: real] :
          ( ~ ( ord_less_eq_real @ SX0 @ SX1 )
          | ~ ( ord_less_eq_real @ SX2 @ SX3 )
          | ( ord_le1342644953l_real @ ( produc705216881l_real @ SX0 @ SX2 ) @ ( produc705216881l_real @ SX1 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[858]) ).

thf(1245,plain,
    ( ( ! [SX0: set_Sum_sum_c_d,SX1: c > sum_sum_c_d,SX2: set_c] :
          ( ~ ( ord_le764260924um_c_d @ SX0 @ ( image_c_Sum_sum_c_d @ SX1 @ SX2 ) )
          | ~ ! [SX3: set_c] :
                ( ~ ( ord_less_eq_set_c @ SX3 @ SX2 )
                | ( SX0
                 != ( image_c_Sum_sum_c_d @ SX1 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1036]) ).

thf(1246,plain,
    ( ( ord_le764260924um_c_d
      = ( ^ [SX0: set_Sum_sum_c_d,SX1: set_Sum_sum_c_d] :
          ! [SX2: sum_sum_c_d] :
            ( ~ ( member_Sum_sum_c_d @ SX2 @ SX0 )
            | ( member_Sum_sum_c_d @ SX2 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[952]) ).

thf(1247,plain,
    ( ( ! [SX0: sum_sum_c_c > c,SX1: set_Sum_sum_c_c,SX2: c > $o] :
          ( ( collect_c
            @ ^ [SX3: c] :
                ~ ( ~ ( member_c @ SX3 @ ( image_Sum_sum_c_c_c @ SX0 @ SX1 ) )
                  | ~ ( SX2 @ SX3 ) ) )
          = ( image_Sum_sum_c_c_c @ SX0
            @ ( collect_Sum_sum_c_c
              @ ^ [SX3: sum_sum_c_c] :
                  ~ ( ~ ( member_Sum_sum_c_c @ SX3 @ SX1 )
                    | ~ ( SX2 @ ( SX0 @ SX3 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[991]) ).

thf(1248,plain,
    ( ( ord_less_eq_set_c
      = ( ^ [SX0: set_c,SX1: set_c] :
          ! [SX2: c] :
            ( ~ ( member_c @ SX2 @ SX0 )
            | ( member_c @ SX2 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[951]) ).

thf(1249,plain,
    ( ( ! [SX0: c,SX1: ( real > finite1398487019real_c ) > c,SX2: set_re2066790124real_c] :
          ( ~ ( member_c @ SX0 @ ( image_266490115al_c_c @ SX1 @ SX2 ) )
          | ~ ! [SX3: real > finite1398487019real_c] :
                ( ( SX0
                 != ( SX1 @ SX3 ) )
                | ~ ( member1321351885real_c @ SX3 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[978]) ).

thf(1250,plain,
    ( ( ! [SX0: c > sum_sum_c_c,SX1: set_c,SX2: sum_sum_c_c > $o] :
          ( ~ ~ ! [SX3: sum_sum_c_c] :
                  ~ ~ ( ~ ( member_Sum_sum_c_c @ SX3 @ ( image_c_Sum_sum_c_c @ SX0 @ SX1 ) )
                      | ~ ( SX2 @ SX3 ) )
          | ~ ! [SX3: c] :
                ~ ~ ( ~ ( member_c @ SX3 @ SX1 )
                    | ~ ( SX2 @ ( SX0 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[925]) ).

thf(1251,plain,
    ( ( ! [SX0: set_Fi1407883041real_c,SX1: finite1398487019real_c > $o] :
          ( ord_le1327118209real_c
          @ ( collec230941376real_c
            @ ^ [SX2: finite1398487019real_c] :
                ~ ( ~ ( member1261661570real_c @ SX2 @ SX0 )
                  | ~ ( SX1 @ SX2 ) ) )
          @ SX0 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1006]) ).

thf(1252,plain,
    ( ( ! [SX0: set_c,SX1: c > sum_sum_c_d,SX2: c > set_Sum_sum_c_d] :
          ( ~ ! [SX3: c] :
                ( ~ ( member_c @ SX3 @ SX0 )
                | ( member_Sum_sum_c_d @ ( SX1 @ SX3 ) @ ( SX2 @ SX3 ) ) )
          | ( member_c_Sum_sum_c_d @ SX1 @ ( pi_c_Sum_sum_c_d @ SX0 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1050]) ).

thf(1253,plain,
    ( ( ! [SX0: c,SX1: sum_sum_c_c > c,SX2: sum_sum_c_c,SX3: set_Sum_sum_c_c] :
          ( ( SX0
           != ( SX1 @ SX2 ) )
          | ~ ( member_Sum_sum_c_c @ SX2 @ SX3 )
          | ( member_c @ SX0 @ ( image_Sum_sum_c_c_c @ SX1 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[884]) ).

thf(1254,plain,
    ( ( ! [SX0: real > finite1398487019real_c,SX1: c > real > finite1398487019real_c,SX2: c,SX3: set_c] :
          ( ( SX0
           != ( SX1 @ SX2 ) )
          | ~ ( member_c @ SX2 @ SX3 )
          | ( member1321351885real_c @ SX0 @ ( image_1226855921real_c @ SX1 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[890]) ).

thf(1255,plain,
    ( ( ! [SX0: sum_sum_c_d > sum_sum_c_c,SX1: set_Sum_sum_c_d,SX2: sum_sum_c_d > set_Sum_sum_c_c,SX3: sum_sum_c_d] :
          ( ~ ( member71251457um_c_c @ SX0 @ ( pi_Sum1145067928um_c_c @ SX1 @ SX2 ) )
          | ~ ( member_Sum_sum_c_d @ SX3 @ SX1 )
          | ( member_Sum_sum_c_c @ ( SX0 @ SX3 ) @ ( SX2 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1086]) ).

thf(1256,plain,
    ( ( ! [SX0: set_c,SX1: c > sum_sum_c_d,SX2: set_Sum_sum_c_d] :
          ( ~ ! [SX3: c] :
                ( ~ ( member_c @ SX3 @ SX0 )
                | ( member_Sum_sum_c_d @ ( SX1 @ SX3 ) @ SX2 ) )
          | ( member_c_Sum_sum_c_d @ SX1
            @ ( pi_c_Sum_sum_c_d @ SX0
              @ ^ [SX3: c] : SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1092]) ).

thf(1257,plain,
    ( ( ! [SX0: sum_sum_c_d,SX1: set_Sum_sum_c_d,SX2: c,SX3: sum_sum_c_d > c] :
          ( ~ ( member_Sum_sum_c_d @ SX0 @ SX1 )
          | ( SX2
           != ( SX3 @ SX0 ) )
          | ( member_c @ SX2 @ ( image_Sum_sum_c_d_c @ SX3 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[935]) ).

thf(1258,plain,
    ( ( ! [SX0: set_Sum_sum_c_c,SX1: sum_sum_c_c > sum_sum_c_d,SX2: set_Sum_sum_c_d] :
          ( ~ ! [SX3: sum_sum_c_c] :
                ( ~ ( member_Sum_sum_c_c @ SX3 @ SX0 )
                | ( member_Sum_sum_c_d @ ( SX1 @ SX3 ) @ SX2 ) )
          | ( member318754689um_c_d @ SX1
            @ ( pi_Sum261268376um_c_d @ SX0
              @ ^ [SX3: sum_sum_c_c] : SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1095]) ).

thf(1259,plain,
    ( ( ! [SX0: set_Sum_sum_c_c,SX1: set_Sum_sum_c_c,SX2: sum_sum_c_c] :
          ( ~ ( ord_le1772180283um_c_c @ SX0 @ SX1 )
          | ~ ( member_Sum_sum_c_c @ SX2 @ SX0 )
          | ( member_Sum_sum_c_c @ SX2 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[955]) ).

thf(1260,plain,
    ( ( ord_le850691415real_c
      = ( ^ [SX0: produc190496183real_c,SX1: produc190496183real_c] :
            ~ ( ~ ( ord_le775706699real_c @ ( produc2010422875real_c @ SX0 ) @ ( produc2010422875real_c @ SX1 ) )
              | ~ ( ord_le775706699real_c @ ( produc314122909real_c @ SX0 ) @ ( produc314122909real_c @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[861]) ).

thf(1261,plain,
    ( ( ! [SX0: produc190496183real_c,SX1: produc190496183real_c] :
          ( ~ ( ord_le850691415real_c @ SX0 @ SX1 )
          | ( ord_le775706699real_c @ ( produc314122909real_c @ SX0 ) @ ( produc314122909real_c @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[860]) ).

thf(1262,plain,
    ( ( ! [SX0: sum_sum_c_c > sum_sum_c_d,SX1: set_Sum_sum_c_c,SX2: sum_sum_c_c > set_Sum_sum_c_d,SX3: sum_sum_c_c] :
          ( ~ ( member318754689um_c_d @ SX0 @ ( pi_Sum261268376um_c_d @ SX1 @ SX2 ) )
          | ~ ( member_Sum_sum_c_c @ SX3 @ SX1 )
          | ( member_Sum_sum_c_d @ ( SX0 @ SX3 ) @ ( SX2 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1084]) ).

thf(1263,plain,
    ( ( ! [SX0: ( real > finite1398487019real_c ) > produc190496183real_c,SX1: set_re2066790124real_c,SX2: set_Pr1389752855real_c,SX3: real > finite1398487019real_c] :
          ( ~ ( member954762593real_c @ SX0
              @ ( pi_rea1379668980real_c @ SX1
                @ ^ [SX4: real > finite1398487019real_c] : SX2 ) )
          | ~ ( member1321351885real_c @ SX3 @ SX1 )
          | ( member1895684704real_c @ ( SX0 @ SX3 ) @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1101]) ).

thf(1264,plain,
    ( ( ! [SX0: set_c,SX1: c > real > finite1398487019real_c,SX2: set_re2066790124real_c] :
          ( ~ ! [SX3: c] :
                ( ~ ( member_c @ SX3 @ SX0 )
                | ( member1321351885real_c @ ( SX1 @ SX3 ) @ SX2 ) )
          | ( ord_le35002188real_c @ ( image_1226855921real_c @ SX1 @ SX0 ) @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1032]) ).

thf(1265,plain,
    ( ( ! [SX0: c > $o,SX1: c > $o] :
          ( ( ord_less_eq_set_c @ ( collect_c @ SX0 ) @ ( collect_c @ SX1 ) )
          = ( ! [SX2: c] :
                ( ~ ( SX0 @ SX2 )
                | ( SX1 @ SX2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[942]) ).

thf(1266,plain,
    ( ( ! [SX0: set_re2066790124real_c,SX1: set_re2066790124real_c] :
          ( ~ ! [SX2: real > finite1398487019real_c] :
                ( ~ ( member1321351885real_c @ SX2 @ SX0 )
                | ( member1321351885real_c @ SX2 @ SX1 ) )
          | ( ord_le35002188real_c @ SX0 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[897]) ).

thf(1267,plain,
    ( ( ! [SX0: sum_sum_c_d,SX1: set_Sum_sum_c_d] :
          ( ~ ~ ( member_Sum_sum_c_d @ SX0 @ SX1 )
          | ( member_Sum_sum_c_d @ SX0 @ ( uminus373867045um_c_d @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[905]) ).

thf(1268,plain,
    ( ( ~ ( osafe_a_c @ oDEa )
      | ~ ( fsafe_a_b_c @ phi )
      | ( ode != oDEa )
      | ( p != phi )
      | ~ ( ord_less_eq_real @ zero_zero_real @ t )
      | ( ( produc394644079real_c @ aa @ ba )
       != ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
      | ~ ( initia1631504802real_c @ sol
          @ ^ [SX0: real] : ( denota1275485728_a_b_c @ i @ oDEa )
          @ ( set_or656347191t_real @ zero_zero_real @ t )
          @ ( collec230941376real_c
            @ ^ [SX0: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ SX0 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) )
      | ~ ( denota256060419gree_c @ ( sol @ zero_zero_real ) @ ab
          @ ( collect_c
            @ ^ [SX0: c] :
                ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_BVO_a_c @ oDEa ) )
                | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( static_FVO_a_c @ oDEa ) ) )
                | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_FVF_a_b_c @ phi ) ) ) ) )
      | ( ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) )
        = ( denota161327353_a_b_c @ i @ oDEa
          @ ( produc394644079real_c
            @ ( finite557796307c_real
              @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
            @ bb )
          @ ( finite557796307c_real
            @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ t ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[865]) ).

thf(1269,plain,
    ( ( ~ ~ ( ~ ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
            | ~ ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) ) )
      | ( ( finite772340578real_c @ ( produc2010422875real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) ) @ i2 )
        = ( finite772340578real_c @ ab @ i2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[745]) ).

thf(1270,plain,
    ( ( ! [SX0: c > $o,SX1: c > $o] :
          ( ~ ! [SX2: c] :
                ( ( SX0 @ SX2 )
                = ( SX1 @ SX2 ) )
          | ( ( collect_c @ SX0 )
            = ( collect_c @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[802]) ).

thf(1271,plain,
    ( ( ! [SX0: set_Sum_sum_c_d,SX1: sum_sum_c_d > c,SX2: sum_sum_c_d > set_c] :
          ( ~ ! [SX3: sum_sum_c_d] :
                ( ~ ( member_Sum_sum_c_d @ SX3 @ SX0 )
                | ( member_c @ ( SX1 @ SX3 ) @ ( SX2 @ SX3 ) ) )
          | ( member_Sum_sum_c_d_c @ SX1 @ ( pi_Sum_sum_c_d_c @ SX0 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1071]) ).

thf(1272,plain,
    ( ( ! [SX0: set_Sum_sum_c_c,SX1: sum_sum_c_c > sum_sum_c_c,SX2: set_Sum_sum_c_c] :
          ( ~ ! [SX3: sum_sum_c_c] :
                ( ~ ( member_Sum_sum_c_c @ SX3 @ SX0 )
                | ( member_Sum_sum_c_c @ ( SX1 @ SX3 ) @ SX2 ) )
          | ( ord_le1772180283um_c_c @ ( image_666880337um_c_c @ SX1 @ SX0 ) @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1030]) ).

thf(1273,plain,
    ( ( ! [SX0: c,SX1: set_c,SX2: c,SX3: c > c] :
          ( ~ ( member_c @ SX0 @ SX1 )
          | ( SX2
           != ( SX3 @ SX0 ) )
          | ( member_c @ SX2 @ ( image_c_c @ SX3 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[931]) ).

thf(1274,plain,
    ( ( ! [SX0: sum_sum_c_c > sum_sum_c_c,SX1: set_Sum_sum_c_c,SX2: sum_sum_c_c > $o] :
          ( ( collect_Sum_sum_c_c
            @ ^ [SX3: sum_sum_c_c] :
                ~ ( ~ ( member_Sum_sum_c_c @ SX3 @ ( image_666880337um_c_c @ SX0 @ SX1 ) )
                  | ~ ( SX2 @ SX3 ) ) )
          = ( image_666880337um_c_c @ SX0
            @ ( collect_Sum_sum_c_c
              @ ^ [SX3: sum_sum_c_c] :
                  ~ ( ~ ( member_Sum_sum_c_c @ SX3 @ SX1 )
                    | ~ ( SX2 @ ( SX0 @ SX3 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[994]) ).

thf(1275,plain,
    ( ( ! [SX0: c,SX1: sum_sum_c_d > c,SX2: sum_sum_c_d,SX3: set_Sum_sum_c_d] :
          ( ( SX0
           != ( SX1 @ SX2 ) )
          | ~ ( member_Sum_sum_c_d @ SX2 @ SX3 )
          | ( member_c @ SX0 @ ( image_Sum_sum_c_d_c @ SX1 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[887]) ).

thf(1276,plain,
    ( ( ! [SX0: sum_sum_c_d,SX1: set_Sum_sum_c_d,SX2: sum_sum_c_d > c] :
          ( ~ ( member_Sum_sum_c_d @ SX0 @ SX1 )
          | ( member_c @ ( SX2 @ SX0 ) @ ( image_Sum_sum_c_d_c @ SX2 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[917]) ).

thf(1277,plain,
    ( ( ~ ( ~ ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
              | ( ( finite772340578real_c @ ( produc2010422875real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) ) @ i2 )
                = ( finite772340578real_c @ ( sol @ x ) @ i2 ) ) )
          | ~ ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
              | ( ( finite772340578real_c @ ( produc2010422875real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) ) @ i2 )
                = ( finite772340578real_c @ ( sol @ x ) @ i2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[750]) ).

thf(1278,plain,
    ( ( ~ ( osafe_a_c @ oDEa )
      | ~ ( fsafe_a_b_c @ phi )
      | ( ode != oDEa )
      | ( p != phi )
      | ~ ( ord_less_eq_real @ zero_zero_real @ t )
      | ( ( produc394644079real_c @ aa @ ba )
       != ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
      | ~ ( initia1631504802real_c @ sol
          @ ^ [SX0: real] : ( denota1275485728_a_b_c @ i @ oDEa )
          @ ( set_or656347191t_real @ zero_zero_real @ t )
          @ ( collec230941376real_c
            @ ^ [SX0: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ SX0 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) )
      | ~ ( denota256060419gree_c @ ( sol @ zero_zero_real ) @ ab
          @ ( collect_c
            @ ^ [SX0: c] :
                ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_BVO_a_c @ oDEa ) )
                | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( static_FVO_a_c @ oDEa ) ) )
                | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_FVF_a_b_c @ phi ) ) ) ) )
      | ( ord_less_eq_real @ zero_zero_real @ t ) )
    = $true ),
    inference(unfold_def,[status(thm)],[866]) ).

thf(1279,plain,
    ( ( ! [SX0: sum_sum_c_c,SX1: set_Sum_sum_c_c,SX2: sum_sum_c_d,SX3: sum_sum_c_c > sum_sum_c_d] :
          ( ~ ( member_Sum_sum_c_c @ SX0 @ SX1 )
          | ( SX2
           != ( SX3 @ SX0 ) )
          | ( member_Sum_sum_c_d @ SX2 @ ( image_675141842um_c_d @ SX3 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[937]) ).

thf(1280,plain,
    ( ( ! [SX0: set_Sum_sum_c_d,SX1: sum_sum_c_d > c,SX2: set_c] :
          ( ~ ! [SX3: sum_sum_c_d] :
                ( ~ ( member_Sum_sum_c_d @ SX3 @ SX0 )
                | ( member_c @ ( SX1 @ SX3 ) @ SX2 ) )
          | ( member_Sum_sum_c_d_c @ SX1
            @ ( pi_Sum_sum_c_d_c @ SX0
              @ ^ [SX3: sum_sum_c_d] : SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1093]) ).

thf(1281,plain,
    ( ( ! [SX0: $o,SX1: finite1398487019real_c,SX2: finite1398487019real_c,SX3: c] :
          ~ ( ~ ( ~ SX0
                | ( ( finite772340578real_c @ ( if_Fin36944805real_c @ SX0 @ SX1 @ SX2 ) @ SX3 )
                  = ( finite772340578real_c @ SX1 @ SX3 ) ) )
            | ~ ( ~ ~ SX0
                | ( ( finite772340578real_c @ ( if_Fin36944805real_c @ SX0 @ SX1 @ SX2 ) @ SX3 )
                  = ( finite772340578real_c @ SX2 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[785]) ).

thf(1282,plain,
    ( ( ! [SX0: set_Sum_sum_c_c,SX1: set_Sum_sum_c_c] :
          ( ~ ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SX0 ) @ SX1 )
          | ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SX1 ) @ SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[878]) ).

thf(1283,plain,
    ( ( ! [SX0: set_real,SX1: real > finite1398487019real_c,SX2: set_Fi1407883041real_c] :
          ( ~ ! [SX3: real] :
                ( ~ ( member_real @ SX3 @ SX0 )
                | ( member1261661570real_c @ ( SX1 @ SX3 ) @ SX2 ) )
          | ( member1321351885real_c @ SX1
            @ ( pi_rea1111636068real_c @ SX0
              @ ^ [SX3: real] : SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1089]) ).

thf(1284,plain,
    ( ( ! [SX0: set_Sum_sum_c_c,SX1: set_Sum_sum_c_c,SX2: produc190496183real_c,SX3: produc190496183real_c] :
          ( ~ ( ord_le1772180283um_c_c @ SX0 @ SX1 )
          | ~ ( denota1997846518gree_c @ SX2 @ SX3 @ SX1 )
          | ( denota1997846518gree_c @ SX2 @ SX3 @ SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[845]) ).

thf(1285,plain,
    ( ( ! [SX0: produc190496183real_c,SX1: c,SX2: real,SX3: produc190496183real_c] :
          ( ( ( denotational_repd_c @ SX0 @ SX1 @ SX2 )
           != SX3 )
          | ( SX3
            = ( produc394644079real_c @ ( produc2010422875real_c @ SX0 )
              @ ( finite557796307c_real
                @ ^ [SX4: c] : ( if_real @ ( SX1 = SX4 ) @ SX2 @ ( finite772340578real_c @ ( produc314122909real_c @ SX0 ) @ SX4 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1041]) ).

thf(1286,plain,
    ( ( ! [SX0: set_c,SX1: c > sum_sum_c_c,SX2: c > set_Sum_sum_c_c] :
          ( ~ ! [SX3: c] :
                ( ~ ( member_c @ SX3 @ SX0 )
                | ( member_Sum_sum_c_c @ ( SX1 @ SX3 ) @ ( SX2 @ SX3 ) ) )
          | ( member_c_Sum_sum_c_c @ SX1 @ ( pi_c_Sum_sum_c_c @ SX0 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1049]) ).

thf(1287,plain,
    ( ( ! [SX0: set_c,SX1: c > sum_sum_c_c,SX2: set_Sum_sum_c_c] :
          ( ~ ! [SX3: c] :
                ( ~ ( member_c @ SX3 @ SX0 )
                | ( member_Sum_sum_c_c @ ( SX1 @ SX3 ) @ SX2 ) )
          | ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SX1 @ SX0 ) @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1027]) ).

thf(1288,plain,
    ( ( ! [SX0: set_Sum_sum_c_d,SX1: set_Sum_sum_c_d,SX2: sum_sum_c_d] :
          ( ~ ( ord_le764260924um_c_d @ SX0 @ SX1 )
          | ~ ( member_Sum_sum_c_d @ SX2 @ SX0 )
          | ( member_Sum_sum_c_d @ SX2 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[962]) ).

thf(1289,plain,
    ( ( ! [SX0: c > $o,SX1: c > $o] :
          ( ~ ! [SX2: c] :
                ( ~ ( SX0 @ SX2 )
                | ( SX1 @ SX2 ) )
          | ( ord_less_eq_set_c @ ( collect_c @ SX0 ) @ ( collect_c @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[944]) ).

thf(1290,plain,
    ( ( ! [SX0: real,SX1: real,SX2: real,SX3: real] :
          ( ( ord_less_eq_set_real @ ( set_or656347191t_real @ SX0 @ SX1 ) @ ( set_or656347191t_real @ SX2 @ SX3 ) )
          = ( ~ ( ord_less_eq_real @ SX0 @ SX1 )
            | ~ ( ~ ( ord_less_eq_real @ SX2 @ SX0 )
                | ~ ( ord_less_eq_real @ SX1 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[880]) ).

thf(1291,plain,
    ( ( ord_le35002188real_c
      = ( ^ [SX0: set_re2066790124real_c,SX1: set_re2066790124real_c] :
          ! [SX2: real > finite1398487019real_c] :
            ( ~ ( member1321351885real_c @ SX2 @ SX0 )
            | ( member1321351885real_c @ SX2 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[954]) ).

thf(1292,plain,
    ( ( ord_le977353143real_c
      = ( ^ [SX0: set_Pr1389752855real_c,SX1: set_Pr1389752855real_c] :
          ! [SX2: produc190496183real_c] :
            ( ~ ( member1895684704real_c @ SX2 @ SX0 )
            | ( member1895684704real_c @ SX2 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[953]) ).

thf(1293,plain,
    ( ( ! [SX0: sum_sum_c_c,SX1: set_Sum_sum_c_c,SX2: sum_sum_c_c > sum_sum_c_c] :
          ( ~ ( member_Sum_sum_c_c @ SX0 @ SX1 )
          | ( member_Sum_sum_c_c @ ( SX2 @ SX0 ) @ ( image_666880337um_c_c @ SX2 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[918]) ).

thf(1294,plain,
    ( ( ! [SX0: set_c,SX1: c > real > finite1398487019real_c,SX2: c > set_re2066790124real_c] :
          ( ~ ! [SX3: c] :
                ( ~ ( member_c @ SX3 @ SX0 )
                | ( member1321351885real_c @ ( SX1 @ SX3 ) @ ( SX2 @ SX3 ) ) )
          | ( member469531344real_c @ SX1 @ ( pi_c_r41638571real_c @ SX0 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1054]) ).

thf(1295,plain,
    ( ( ! [SX0: c > sum_sum_c_c,SX1: set_c,SX2: c > set_Sum_sum_c_c,SX3: c] :
          ( ~ ( member_c_Sum_sum_c_c @ SX0 @ ( pi_c_Sum_sum_c_c @ SX1 @ SX2 ) )
          | ~ ~ ( member_Sum_sum_c_c @ ( SX0 @ SX3 ) @ ( SX2 @ SX3 ) )
          | ~ ( member_c @ SX3 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1057]) ).

thf(1296,plain,
    ( ( ! [SX0: c] :
          ~ ( ~ ~ ( ~ ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_BVO_a_c @ oDEa ) )
                      | ( ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 )
                        = ( finite772340578real_c @ ab @ SX0 ) ) )
                  | ~ ( ~ ( member_Sum_sum_c_d @ ( sum_Inl_c_d @ SX0 ) @ ( image_c_Sum_sum_c_d @ sum_Inl_c_d @ ( static_FVO_a_c @ oDEa ) ) )
                      | ( ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 )
                        = ( finite772340578real_c @ ab @ SX0 ) ) ) )
            | ~ ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_FVF_a_b_c @ phi ) )
                | ( ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 )
                  = ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[777]) ).

thf(1297,plain,
    ( ( ! [SX0: sum_sum_c_c > sum_sum_c_c,SX1: set_Sum_sum_c_c,SX2: sum_sum_c_c > set_Sum_sum_c_c,SX3: sum_sum_c_c] :
          ( ~ ( member1326674048um_c_c @ SX0 @ ( pi_Sum253006871um_c_c @ SX1 @ SX2 ) )
          | ~ ~ ( member_Sum_sum_c_c @ ( SX0 @ SX3 ) @ ( SX2 @ SX3 ) )
          | ~ ( member_Sum_sum_c_c @ SX3 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1062]) ).

thf(1298,plain,
    ( ( ! [SX0: set_Sum_sum_c_c,SX1: sum_sum_c_c > sum_sum_c_c,SX2: sum_sum_c_c > set_Sum_sum_c_c] :
          ( ~ ! [SX3: sum_sum_c_c] :
                ( ~ ( member_Sum_sum_c_c @ SX3 @ SX0 )
                | ( member_Sum_sum_c_c @ ( SX1 @ SX3 ) @ ( SX2 @ SX3 ) ) )
          | ( member1326674048um_c_c @ SX1 @ ( pi_Sum253006871um_c_c @ SX0 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1052]) ).

thf(1299,plain,
    ( ( ! [SX0: sum_sum_c_c > c,SX1: set_Sum_sum_c_c,SX2: sum_sum_c_c > set_c,SX3: sum_sum_c_c] :
          ( ~ ( member_Sum_sum_c_c_c @ SX0 @ ( pi_Sum_sum_c_c_c @ SX1 @ SX2 ) )
          | ~ ~ ( member_c @ ( SX0 @ SX3 ) @ ( SX2 @ SX3 ) )
          | ~ ( member_Sum_sum_c_c @ SX3 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1058]) ).

thf(1300,plain,
    ( ( ! [SX0: sum_sum_c_d,SX1: sum_sum_c_c > sum_sum_c_d,SX2: set_Sum_sum_c_c] :
          ( ~ ( member_Sum_sum_c_d @ SX0 @ ( image_675141842um_c_d @ SX1 @ SX2 ) )
          | ~ ! [SX3: sum_sum_c_c] :
                ( ( SX0
                 != ( SX1 @ SX3 ) )
                | ~ ( member_Sum_sum_c_c @ SX3 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[979]) ).

thf(1301,plain,
    ( ( ! [SX0: set_c,SX1: c > sum_sum_c_c,SX2: c > set_Sum_sum_c_c] :
          ( ~ ! [SX3: c] :
                ( ~ ( member_c @ SX3 @ SX0 )
                | ( member_Sum_sum_c_c @ ( SX1 @ SX3 ) @ ( SX2 @ SX3 ) ) )
          | ( member_c_Sum_sum_c_c @ SX1 @ ( pi_c_Sum_sum_c_c @ SX0 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1069]) ).

thf(1302,plain,
    ( ( ! [SX0: set_c,SX1: set_c,SX2: finite1398487019real_c,SX3: finite1398487019real_c] :
          ( ~ ( ord_less_eq_set_c @ SX0 @ SX1 )
          | ~ ( denota256060419gree_c @ SX2 @ SX3 @ SX1 )
          | ( denota256060419gree_c @ SX2 @ SX3 @ SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[873]) ).

thf(1303,plain,
    ( ( ! [SX0: ( real > finite1398487019real_c ) > sum_sum_c_d,SX1: set_re2066790124real_c,SX2: set_Sum_sum_c_d,SX3: real > finite1398487019real_c] :
          ( ~ ( member1494186770um_c_d @ SX0
              @ ( pi_rea1508591913um_c_d @ SX1
                @ ^ [SX4: real > finite1398487019real_c] : SX2 ) )
          | ~ ( member1321351885real_c @ SX3 @ SX1 )
          | ( member_Sum_sum_c_d @ ( SX0 @ SX3 ) @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1100]) ).

thf(1304,plain,
    ( ( ! [SX0: c,SX1: set_c,SX2: sum_sum_c_d,SX3: c > sum_sum_c_d] :
          ( ~ ( member_c @ SX0 @ SX1 )
          | ( SX2
           != ( SX3 @ SX0 ) )
          | ( member_Sum_sum_c_d @ SX2 @ ( image_c_Sum_sum_c_d @ SX3 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[934]) ).

thf(1305,plain,
    ( ( ! [SX0: set_c,SX1: c > c,SX2: c > set_c] :
          ( ~ ! [SX3: c] :
                ( ~ ( member_c @ SX3 @ SX0 )
                | ( member_c @ ( SX1 @ SX3 ) @ ( SX2 @ SX3 ) ) )
          | ( member_c_c @ SX1 @ ( pi_c_c @ SX0 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1066]) ).

thf(1306,plain,
    ( ( ! [SX0: c,SX1: set_c,SX2: real > finite1398487019real_c,SX3: c > real > finite1398487019real_c] :
          ( ~ ( member_c @ SX0 @ SX1 )
          | ( SX2
           != ( SX3 @ SX0 ) )
          | ( member1321351885real_c @ SX2 @ ( image_1226855921real_c @ SX3 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[938]) ).

thf(1307,plain,
    ( ( ! [SX0: denota231621370t_unit,SX1: oDE_a_c,SX2: finite1398487019real_c,SX3: produc190496183real_c] :
          ( ( ( denota1896987029_a_b_c @ SX0 @ SX1 @ SX2 )
           != SX3 )
          | ( SX3
            = ( produc394644079real_c @ SX2 @ ( denota1275485728_a_b_c @ SX0 @ SX1 @ SX2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[852]) ).

thf(1308,plain,
    ( ( ! [SX0: sum_sum_c_c,SX1: sum_sum_c_c > sum_sum_c_c,SX2: sum_sum_c_c,SX3: set_Sum_sum_c_c] :
          ( ( SX0
           != ( SX1 @ SX2 ) )
          | ~ ( member_Sum_sum_c_c @ SX2 @ SX3 )
          | ( member_Sum_sum_c_c @ SX0 @ ( image_666880337um_c_c @ SX1 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[888]) ).

thf(1309,plain,
    ( ( ~ ~ ( ~ ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
            | ~ ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) ) )
      | ( ( finite772340578real_c @ ( produc314122909real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) ) @ i2 )
        = ( finite772340578real_c @ bb @ i2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[747]) ).

thf(1310,plain,
    ( ( ! [SX0: set_c,SX1: set_c,SX2: c > sum_sum_c_d] :
          ( ~ ( ord_less_eq_set_c @ SX0 @ SX1 )
          | ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SX2 @ SX0 ) @ ( image_c_Sum_sum_c_d @ SX2 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1024]) ).

thf(1311,plain,
    ( ( ! [SX0: c,SX1: set_c] :
          ( ~ ( member_c @ SX0 @ ( uminus_uminus_set_c @ SX1 ) )
          | ~ ( member_c @ SX0 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[966]) ).

thf(1312,plain,
    ( ( ! [SX0: sum_sum_c_c,SX1: set_Sum_sum_c_c,SX2: sum_sum_c_c > c] :
          ( ~ ( member_Sum_sum_c_c @ SX0 @ SX1 )
          | ( member_c @ ( SX2 @ SX0 ) @ ( image_Sum_sum_c_c_c @ SX2 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[914]) ).

thf(1313,plain,
    ( ( ! [SX0: set_Sum_sum_c_d,SX1: sum_sum_c_d > sum_sum_c_c,SX2: sum_sum_c_d > set_Sum_sum_c_c] :
          ( ~ ! [SX3: sum_sum_c_d] :
                ( ~ ( member_Sum_sum_c_d @ SX3 @ SX0 )
                | ( member_Sum_sum_c_c @ ( SX1 @ SX3 ) @ ( SX2 @ SX3 ) ) )
          | ( member71251457um_c_c @ SX1 @ ( pi_Sum1145067928um_c_c @ SX0 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1055]) ).

thf(1314,plain,
    ( ( ! [SX0: sum_sum_c_c,SX1: set_Sum_sum_c_c] :
          ( ~ ~ ( member_Sum_sum_c_c @ SX0 @ SX1 )
          | ( member_Sum_sum_c_c @ SX0 @ ( uminus1381786404um_c_c @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[908]) ).

thf(1315,plain,
    ( ( ! [SX0: set_Pr1389752855real_c,SX1: produc190496183real_c > $o] :
          ( ord_le977353143real_c
          @ ( collec1643251106real_c
            @ ^ [SX2: produc190496183real_c] :
                ~ ( ~ ( member1895684704real_c @ SX2 @ SX0 )
                  | ~ ( SX1 @ SX2 ) ) )
          @ SX0 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1004]) ).

thf(1316,plain,
    ( ( ! [SX0: c > sum_sum_c_d,SX1: set_c,SX2: sum_sum_c_d > $o] :
          ( ( collect_Sum_sum_c_d
            @ ^ [SX3: sum_sum_c_d] :
                ~ ( ~ ( member_Sum_sum_c_d @ SX3 @ ( image_c_Sum_sum_c_d @ SX0 @ SX1 ) )
                  | ~ ( SX2 @ SX3 ) ) )
          = ( image_c_Sum_sum_c_d @ SX0
            @ ( collect_c
              @ ^ [SX3: c] :
                  ~ ( ~ ( member_c @ SX3 @ SX1 )
                    | ~ ( SX2 @ ( SX0 @ SX3 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[989]) ).

thf(1317,plain,
    ( ( ! [SX0: sum_sum_c_c,SX1: sum_sum_c_c > sum_sum_c_c,SX2: set_Sum_sum_c_c] :
          ( ~ ( member_Sum_sum_c_c @ SX0 @ ( image_666880337um_c_c @ SX1 @ SX2 ) )
          | ~ ! [SX3: sum_sum_c_c] :
                ( ( SX0
                 != ( SX1 @ SX3 ) )
                | ~ ( member_Sum_sum_c_c @ SX3 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[976]) ).

thf(1318,plain,
    ( ( ! [SX0: c,SX1: sum_sum_c_d > c,SX2: set_Sum_sum_c_d] :
          ( ~ ( member_c @ SX0 @ ( image_Sum_sum_c_d_c @ SX1 @ SX2 ) )
          | ~ ! [SX3: sum_sum_c_d] :
                ( ( SX0
                 != ( SX1 @ SX3 ) )
                | ~ ( member_Sum_sum_c_d @ SX3 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[974]) ).

thf(1319,plain,
    ( ( ! [SX0: set_Sum_sum_c_d,SX1: sum_sum_c_d > sum_sum_c_c,SX2: sum_sum_c_d > set_Sum_sum_c_c] :
          ( ~ ! [SX3: sum_sum_c_d] :
                ( ~ ( member_Sum_sum_c_d @ SX3 @ SX0 )
                | ( member_Sum_sum_c_c @ ( SX1 @ SX3 ) @ ( SX2 @ SX3 ) ) )
          | ( member71251457um_c_c @ SX1 @ ( pi_Sum1145067928um_c_c @ SX0 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1075]) ).

thf(1320,plain,
    ( ( ! [SX0: set_c,SX1: c > sum_sum_c_d,SX2: c > set_Sum_sum_c_d] :
          ( ~ ! [SX3: c] :
                ( ~ ( member_c @ SX3 @ SX0 )
                | ( member_Sum_sum_c_d @ ( SX1 @ SX3 ) @ ( SX2 @ SX3 ) ) )
          | ( member_c_Sum_sum_c_d @ SX1 @ ( pi_c_Sum_sum_c_d @ SX0 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1070]) ).

thf(1321,plain,
    ( ( ! [SX0: sum_sum_c_d,SX1: sum_sum_c_d > sum_sum_c_d,SX2: set_Sum_sum_c_d] :
          ( ~ ( member_Sum_sum_c_d @ SX0 @ ( image_1567202899um_c_d @ SX1 @ SX2 ) )
          | ~ ! [SX3: sum_sum_c_d] :
                ( ( SX0
                 != ( SX1 @ SX3 ) )
                | ~ ( member_Sum_sum_c_d @ SX3 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[980]) ).

thf(1322,plain,
    ( ( ord_le1342644953l_real
      = ( ^ [SX0: produc957004601l_real,SX1: produc957004601l_real] :
            ~ ( ~ ( ord_less_eq_real @ ( produc1422991709l_real @ SX0 ) @ ( produc1422991709l_real @ SX1 ) )
              | ~ ( ord_less_eq_real @ ( produc1407670175l_real @ SX0 ) @ ( produc1407670175l_real @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[862]) ).

thf(1323,plain,
    ( ( ~ ( ~ ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
              | ( ( finite772340578real_c
                  @ ( produc314122909real_c
                    @ ( denota161327353_a_b_c @ i @ oDEa
                      @ ( produc394644079real_c
                        @ ( finite557796307c_real
                          @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                        @ bb )
                      @ ( finite557796307c_real
                        @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
                  @ i2 )
                = ( finite772340578real_c
                  @ ( denota1275485728_a_b_c @ i @ oDEa
                    @ ( finite557796307c_real
                      @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) )
                  @ i2 ) ) )
          | ~ ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
              | ( ( finite772340578real_c
                  @ ( produc314122909real_c
                    @ ( denota161327353_a_b_c @ i @ oDEa
                      @ ( produc394644079real_c
                        @ ( finite557796307c_real
                          @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                        @ bb )
                      @ ( finite557796307c_real
                        @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
                  @ i2 )
                = ( finite772340578real_c
                  @ ( denota1275485728_a_b_c @ i @ oDEa
                    @ ( finite557796307c_real
                      @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) )
                  @ i2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[749]) ).

thf(1324,plain,
    ( ( ! [SX0: set_Sum_sum_c_c,SX1: sum_sum_c_c > c,SX2: sum_sum_c_c > set_c] :
          ( ~ ! [SX3: sum_sum_c_c] :
                ( ~ ( member_Sum_sum_c_c @ SX3 @ SX0 )
                | ( member_c @ ( SX1 @ SX3 ) @ ( SX2 @ SX3 ) ) )
          | ( member_Sum_sum_c_c_c @ SX1 @ ( pi_Sum_sum_c_c_c @ SX0 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1068]) ).

thf(1325,plain,
    ( ( ! [SX0: produc190496183real_c,SX1: produc190496183real_c] :
          ( ~ ( denota1997846518gree_c @ SX0 @ SX1 @ ( static_FVF_a_b_c @ p ) )
          | ( ( member1895684704real_c @ SX0 @ ( denota968303861_a_b_c @ i @ p ) )
            = ( member1895684704real_c @ SX1 @ ( denota968303861_a_b_c @ i @ p ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[823]) ).

thf(1326,plain,
    ( ( ! [SX0: set_c,SX1: set_c,SX2: c > sum_sum_c_d,SX3: c > sum_sum_c_d] :
          ( ( SX0 != SX1 )
          | ~ ! [SX4: c] :
                ( ~ ( member_c @ SX4 @ SX1 )
                | ( ( SX2 @ SX4 )
                  = ( SX3 @ SX4 ) ) )
          | ( ( image_c_Sum_sum_c_d @ SX2 @ SX0 )
            = ( image_c_Sum_sum_c_d @ SX3 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[928]) ).

thf(1327,plain,
    ( ( ! [SX0: set_Sum_sum_c_c,SX1: sum_sum_c_c > c,SX2: sum_sum_c_c > set_c] :
          ( ~ ! [SX3: sum_sum_c_c] :
                ( ~ ( member_Sum_sum_c_c @ SX3 @ SX0 )
                | ( member_c @ ( SX1 @ SX3 ) @ ( SX2 @ SX3 ) ) )
          | ( member_Sum_sum_c_c_c @ SX1 @ ( pi_Sum_sum_c_c_c @ SX0 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1048]) ).

thf(1328,plain,
    ( ( ! [SX0: set_Pr1389752855real_c,SX1: set_Pr1389752855real_c] :
          ( ~ ! [SX2: produc190496183real_c] :
                ( ~ ( member1895684704real_c @ SX2 @ SX0 )
                | ( member1895684704real_c @ SX2 @ SX1 ) )
          | ( ord_le977353143real_c @ SX0 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[896]) ).

thf(1329,plain,
    ( ( ! [SX0: c,SX1: c] :
          ( ( sum_Inr_c_c @ SX0 )
         != ( sum_Inl_c_c @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[765]) ).

thf(1330,plain,
    ( ( ! [SX0: produc190496183real_c,SX1: produc190496183real_c] :
          ( ~ ( ord_le850691415real_c @ SX0 @ SX1 )
          | ( ord_le775706699real_c @ ( produc2010422875real_c @ SX0 ) @ ( produc2010422875real_c @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[859]) ).

thf(1331,plain,
    ( ( ! [SX0: set_re2066790124real_c,SX1: ( real > finite1398487019real_c ) > $o] :
          ( ord_le35002188real_c
          @ ( collec913357835real_c
            @ ^ [SX2: real > finite1398487019real_c] :
                ~ ( ~ ( member1321351885real_c @ SX2 @ SX0 )
                  | ~ ( SX1 @ SX2 ) ) )
          @ SX0 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1005]) ).

thf(1332,plain,
    ( ( ! [SX0: set_c,SX1: c > $o] :
          ( ord_less_eq_set_c
          @ ( collect_c
            @ ^ [SX2: c] :
                ~ ( ~ ( member_c @ SX2 @ SX0 )
                  | ~ ( SX1 @ SX2 ) ) )
          @ SX0 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1007]) ).

thf(1333,plain,
    ( ( ! [SX0: sum_sum_c_d,SX1: set_Sum_sum_c_d,SX2: sum_sum_c_d > sum_sum_c_c] :
          ( ~ ( member_Sum_sum_c_d @ SX0 @ SX1 )
          | ( member_Sum_sum_c_c @ ( SX2 @ SX0 ) @ ( image_1558941394um_c_c @ SX2 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[921]) ).

thf(1334,plain,
    ( ( ! [SX0: sum_sum_c_d,SX1: set_Sum_sum_c_d,SX2: sum_sum_c_d,SX3: sum_sum_c_d > sum_sum_c_d] :
          ( ~ ( member_Sum_sum_c_d @ SX0 @ SX1 )
          | ( SX2
           != ( SX3 @ SX0 ) )
          | ( member_Sum_sum_c_d @ SX2 @ ( image_1567202899um_c_d @ SX3 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[940]) ).

thf(1335,plain,
    ( ( ! [SX0: c > c,SX1: set_c,SX2: c > set_c,SX3: c] :
          ( ~ ( member_c_c @ SX0 @ ( pi_c_c @ SX1 @ SX2 ) )
          | ~ ~ ( member_c @ ( SX0 @ SX3 ) @ ( SX2 @ SX3 ) )
          | ~ ( member_c @ SX3 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1056]) ).

thf(1336,plain,
    ( ( ! [SX0: finite1398487019real_c,SX1: finite1398487019real_c,SX2: finite1398487019real_c,SX3: finite1398487019real_c] :
          ( ( ord_le850691415real_c @ ( produc394644079real_c @ SX0 @ SX1 ) @ ( produc394644079real_c @ SX2 @ SX3 ) )
          = ( ~ ( ~ ( ord_le775706699real_c @ SX0 @ SX2 )
                | ~ ( ord_le775706699real_c @ SX1 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[821]) ).

thf(1337,plain,
    ( ( ! [SX0: real > finite1398487019real_c,SX1: set_real,SX2: real > set_Fi1407883041real_c] :
          ( ( member1321351885real_c @ SX0 @ ( pi_rea1111636068real_c @ SX1 @ SX2 ) )
          = ( ! [SX3: real] :
                ( ~ ( member_real @ SX3 @ SX1 )
                | ( member1261661570real_c @ ( SX0 @ SX3 ) @ ( SX2 @ SX3 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1076]) ).

thf(1338,plain,
    ( ( ! [SX0: sum_sum_c_d,SX1: set_Sum_sum_c_d,SX2: sum_sum_c_d > sum_sum_c_d] :
          ( ~ ( member_Sum_sum_c_d @ SX0 @ SX1 )
          | ( member_Sum_sum_c_d @ ( SX2 @ SX0 ) @ ( image_1567202899um_c_d @ SX2 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[922]) ).

thf(1339,plain,
    ( ( ! [SX0: set_Pr1389752855real_c,SX1: set_Pr1389752855real_c,SX2: produc190496183real_c] :
          ( ~ ( ord_le977353143real_c @ SX0 @ SX1 )
          | ~ ( member1895684704real_c @ SX2 @ SX0 )
          | ( member1895684704real_c @ SX2 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[958]) ).

thf(1340,plain,
    ( ( ! [SX0: ( real > finite1398487019real_c ) > c,SX1: set_re2066790124real_c,SX2: ( real > finite1398487019real_c ) > set_c,SX3: real > finite1398487019real_c] :
          ( ~ ( member527957930al_c_c @ SX0 @ ( pi_rea1228756413al_c_c @ SX1 @ SX2 ) )
          | ~ ~ ( member_c @ ( SX0 @ SX3 ) @ ( SX2 @ SX3 ) )
          | ~ ( member1321351885real_c @ SX3 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1064]) ).

thf(1341,plain,
    ( ( ! [SX0: set_Sum_sum_c_c,SX1: set_Sum_sum_c_c] :
          ( ~ ! [SX2: sum_sum_c_c] :
                ( ~ ( member_Sum_sum_c_c @ SX2 @ SX0 )
                | ( member_Sum_sum_c_c @ SX2 @ SX1 ) )
          | ( ord_le1772180283um_c_c @ SX0 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[893]) ).

thf(1342,plain,
    ( ( ! [SX0: c,SX1: set_c,SX2: c > real > finite1398487019real_c] :
          ( ~ ( member_c @ SX0 @ SX1 )
          | ( member1321351885real_c @ ( SX2 @ SX0 ) @ ( image_1226855921real_c @ SX2 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[920]) ).

thf(1343,plain,
    ( ( ! [SX0: c,SX1: c > c,SX2: c,SX3: set_c] :
          ( ( SX0
           != ( SX1 @ SX2 ) )
          | ~ ( member_c @ SX2 @ SX3 )
          | ( member_c @ SX0 @ ( image_c_c @ SX1 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[883]) ).

thf(1344,plain,
    ( ( ( ^ [SX0: produc190496183real_c,SX1: produc190496183real_c] : ( SX0 = SX1 ) )
      = ( ^ [SX0: produc190496183real_c,SX1: produc190496183real_c] :
            ~ ( ( ( produc2010422875real_c @ SX0 )
               != ( produc2010422875real_c @ SX1 ) )
              | ( ( produc314122909real_c @ SX0 )
               != ( produc314122909real_c @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[807]) ).

thf(1345,plain,
    ( ( ord_le977353143real_c
      = ( ^ [SX0: set_Pr1389752855real_c,SX1: set_Pr1389752855real_c] :
          ! [SX2: produc190496183real_c] :
            ( ~ ( member1895684704real_c @ SX2 @ SX0 )
            | ( member1895684704real_c @ SX2 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[948]) ).

thf(1346,plain,
    ( ( ! [SX0: finite1398487019real_c,SX1: finite1398487019real_c,SX2: finite1398487019real_c] :
          ( ( ( produc2010422875real_c @ ( produc394644079real_c @ SX0 @ SX1 ) )
           != SX2 )
          | ( SX0 = SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[804]) ).

thf(1347,plain,
    ( ( ! [SX0: c,SX1: set_c,SX2: c > sum_sum_c_d] :
          ( ~ ( member_c @ SX0 @ SX1 )
          | ( member_Sum_sum_c_d @ ( SX2 @ SX0 ) @ ( image_c_Sum_sum_c_d @ SX2 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[916]) ).

thf(1348,plain,
    ( ( ! [SX0: set_Sum_sum_c_c,SX1: c > sum_sum_c_c,SX2: set_c] :
          ( ( ord_le1772180283um_c_c @ SX0 @ ( image_c_Sum_sum_c_c @ SX1 @ SX2 ) )
          = ( ~ ! [SX3: set_c] :
                  ~ ~ ( ~ ( ord_less_eq_set_c @ SX3 @ SX2 )
                      | ( SX0
                       != ( image_c_Sum_sum_c_c @ SX1 @ SX3 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1039]) ).

thf(1349,plain,
    ( ( ! [SX0: finite1398487019real_c > c,SX1: set_Fi1407883041real_c,SX2: c > $o] :
          ( ( collect_c
            @ ^ [SX3: c] :
                ~ ( ~ ( member_c @ SX3 @ ( image_1260608398al_c_c @ SX0 @ SX1 ) )
                  | ~ ( SX2 @ SX3 ) ) )
          = ( image_1260608398al_c_c @ SX0
            @ ( collec230941376real_c
              @ ^ [SX3: finite1398487019real_c] :
                  ~ ( ~ ( member1261661570real_c @ SX3 @ SX1 )
                    | ~ ( SX2 @ ( SX0 @ SX3 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[993]) ).

thf(1350,plain,
    ( ( ! [SX0: c > sum_sum_c_d,SX1: set_c,SX2: sum_sum_c_d > $o] :
          ( ~ ~ ! [SX3: sum_sum_c_d] :
                  ~ ~ ( ~ ( member_Sum_sum_c_d @ SX3 @ ( image_c_Sum_sum_c_d @ SX0 @ SX1 ) )
                      | ~ ( SX2 @ SX3 ) )
          | ~ ! [SX3: c] :
                ~ ~ ( ~ ( member_c @ SX3 @ SX1 )
                    | ~ ( SX2 @ ( SX0 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[926]) ).

thf(1351,plain,
    ( ( ! [SX0: sum_sum_c_d,SX1: sum_sum_c_c > sum_sum_c_d,SX2: sum_sum_c_c,SX3: set_Sum_sum_c_c] :
          ( ( SX0
           != ( SX1 @ SX2 ) )
          | ~ ( member_Sum_sum_c_c @ SX2 @ SX3 )
          | ( member_Sum_sum_c_d @ SX0 @ ( image_675141842um_c_d @ SX1 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[889]) ).

thf(1352,plain,
    ( ( ! [SX0: oDE_a_c,SX1: denota231621370t_unit,SX2: real > finite1398487019real_c,SX3: real,SX4: finite1398487019real_c] :
          ( ~ ( osafe_a_c @ SX0 )
          | ( ( denota1275485728_a_b_c @ SX1 @ SX0 @ ( SX2 @ SX3 ) )
            = ( denota1275485728_a_b_c @ SX1 @ SX0
              @ ( finite557796307c_real
                @ ^ [SX5: c] : ( if_real @ ( member_c @ SX5 @ ( static_FVO_a_c @ SX0 ) ) @ ( finite772340578real_c @ ( SX2 @ SX3 ) @ SX5 ) @ ( finite772340578real_c @ SX4 @ SX5 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[767]) ).

thf(1353,plain,
    ( ( ! [SX0: finite1398487019real_c,SX1: finite1398487019real_c,SX2: finite1398487019real_c,SX3: finite1398487019real_c] :
          ( ( ( produc394644079real_c @ SX0 @ SX1 )
           != ( produc394644079real_c @ SX2 @ SX3 ) )
          | ~ ( ( SX0 != SX2 )
              | ( SX1 != SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[781]) ).

thf(1354,plain,
    ( ( ! [SX0: produc190496183real_c] :
          ~ ! [SX1: finite1398487019real_c,SX2: finite1398487019real_c] :
              ( SX0
             != ( produc394644079real_c @ SX1 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[780]) ).

thf(1355,plain,
    ( ( ! [SX0: set_c,SX1: c > sum_sum_c_c,SX2: set_Sum_sum_c_c] :
          ( ~ ! [SX3: c] :
                ( ~ ( member_c @ SX3 @ SX0 )
                | ( member_Sum_sum_c_c @ ( SX1 @ SX3 ) @ SX2 ) )
          | ( member_c_Sum_sum_c_c @ SX1
            @ ( pi_c_Sum_sum_c_c @ SX0
              @ ^ [SX3: c] : SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1091]) ).

thf(1356,plain,
    ( ( ~ ~ ( ~ ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
            | ~ ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) ) )
      | ( ( finite772340578real_c
          @ ( produc314122909real_c
            @ ( denota161327353_a_b_c @ i @ oDEa
              @ ( produc394644079real_c
                @ ( finite557796307c_real
                  @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                @ bb )
              @ ( finite557796307c_real
                @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
          @ i2 )
        = ( finite772340578real_c @ bb @ i2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[746]) ).

thf(1357,plain,
    ( ( ! [SX0: c > sum_sum_c_c,SX1: set_c,SX2: sum_sum_c_c > $o] :
          ( ( collect_Sum_sum_c_c
            @ ^ [SX3: sum_sum_c_c] :
                ~ ( ~ ( member_Sum_sum_c_c @ SX3 @ ( image_c_Sum_sum_c_c @ SX0 @ SX1 ) )
                  | ~ ( SX2 @ SX3 ) ) )
          = ( image_c_Sum_sum_c_c @ SX0
            @ ( collect_c
              @ ^ [SX3: c] :
                  ~ ( ~ ( member_c @ SX3 @ SX1 )
                    | ~ ( SX2 @ ( SX0 @ SX3 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[988]) ).

thf(1358,plain,
    ( ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[743]) ).

thf(1359,plain,
    ( ( ~ ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( denota1293057250_a_b_c @ i @ oDEa ) )
          | ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( denota1293057250_a_b_c @ i @ oDEa ) ) )
      | ~ ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( denota1293057250_a_b_c @ i @ oDEa ) )
          | ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( denota1293057250_a_b_c @ i @ oDEa ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[757]) ).

thf(1360,plain,
    ( ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( denota1293057250_a_b_c @ i @ oDEa ) )
      = ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( denota1293057250_a_b_c @ i @ oDEa ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[757]) ).

thf(1361,plain,
    ! [SV1: real] :
      ( ( denota1997846518gree_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ SV1 ) )
        @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb )
          @ ( finite557796307c_real
            @ ^ [SY1129: c] : ( if_real @ ( member_c @ SY1129 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ SV1 ) @ SY1129 ) @ ( finite772340578real_c @ ab @ SY1129 ) ) ) )
        @ ( static_FVF_a_b_c @ phi ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[758]) ).

thf(1362,plain,
    ! [SV2: produc190496183real_c] :
      ( ( ( produc394644079real_c @ ( produc2010422875real_c @ SV2 ) @ ( produc314122909real_c @ SV2 ) )
        = SV2 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[759]) ).

thf(1363,plain,
    ! [SV3: finite1398487019real_c] :
      ( ( ( finite557796307c_real @ ( finite772340578real_c @ SV3 ) )
        = SV3 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[761]) ).

thf(1364,plain,
    ! [SV4: c > real] :
      ( ( ! [SY1130: c] :
            ( ( finite772340578real_c @ ( finite557796307c_real @ SV4 ) @ SY1130 )
            = ( SV4 @ SY1130 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[766]) ).

thf(1365,plain,
    ! [SV5: c] :
      ( ( ( finite772340578real_c @ zero_z109254132real_c @ SV5 )
        = zero_zero_real )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[770]) ).

thf(1366,plain,
    ( ( ! [SV6: finite1398487019real_c] :
          ( ( ord_le775706699real_c @ SV6 )
          = ( ^ [SY1131: finite1398487019real_c] :
              ! [SY1132: c] : ( ord_less_eq_real @ ( finite772340578real_c @ SV6 @ SY1132 ) @ ( finite772340578real_c @ SY1131 @ SY1132 ) ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[778]) ).

thf(1367,plain,
    ( ( ord_le775706699real_c
      = ( ^ [X3: finite1398487019real_c,Y3: finite1398487019real_c] :
          ! [I2: c] : ( ord_less_eq_real @ ( finite772340578real_c @ X3 @ I2 ) @ ( finite772340578real_c @ Y3 @ I2 ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[778]) ).

thf(1368,plain,
    ! [SV7: finite1398487019real_c] :
      ( ( ! [SY1133: finite1398487019real_c] :
            ( ( ( finite772340578real_c @ SV7 )
              = ( finite772340578real_c @ SY1133 ) )
            = ( SV7 = SY1133 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[784]) ).

thf(1369,plain,
    ( ( ! [SV8: finite1398487019real_c] :
          ( ( ^ [SY1134: finite1398487019real_c] : ( SV8 = SY1134 ) )
          = ( ^ [SY1135: finite1398487019real_c] :
              ! [SY1136: c] :
                ( ( finite772340578real_c @ SV8 @ SY1136 )
                = ( finite772340578real_c @ SY1135 @ SY1136 ) ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[786]) ).

thf(1370,plain,
    ( ( ( ^ [Y5: finite1398487019real_c,Z: finite1398487019real_c] : ( Y5 = Z ) )
      = ( ^ [X3: finite1398487019real_c,Y3: finite1398487019real_c] :
          ! [I2: c] :
            ( ( finite772340578real_c @ X3 @ I2 )
            = ( finite772340578real_c @ Y3 @ I2 ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[786]) ).

thf(1371,plain,
    ! [SV9: sum_sum_c_c] :
      ( ( ! [SY1137: sum_sum_c_c > $o] :
            ( ( member_Sum_sum_c_c @ SV9 @ ( collect_Sum_sum_c_c @ SY1137 ) )
            = ( SY1137 @ SV9 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[789]) ).

thf(1372,plain,
    ! [SV10: sum_sum_c_d] :
      ( ( ! [SY1138: sum_sum_c_d > $o] :
            ( ( member_Sum_sum_c_d @ SV10 @ ( collect_Sum_sum_c_d @ SY1138 ) )
            = ( SY1138 @ SV10 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[790]) ).

thf(1373,plain,
    ! [SV11: produc190496183real_c] :
      ( ( ! [SY1139: produc190496183real_c > $o] :
            ( ( member1895684704real_c @ SV11 @ ( collec1643251106real_c @ SY1139 ) )
            = ( SY1139 @ SV11 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[791]) ).

thf(1374,plain,
    ! [SV12: real > finite1398487019real_c] :
      ( ( ! [SY1140: ( real > finite1398487019real_c ) > $o] :
            ( ( member1321351885real_c @ SV12 @ ( collec913357835real_c @ SY1140 ) )
            = ( SY1140 @ SV12 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[792]) ).

thf(1375,plain,
    ! [SV13: finite1398487019real_c] :
      ( ( ! [SY1141: finite1398487019real_c > $o] :
            ( ( member1261661570real_c @ SV13 @ ( collec230941376real_c @ SY1141 ) )
            = ( SY1141 @ SV13 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[793]) ).

thf(1376,plain,
    ! [SV14: c] :
      ( ( ! [SY1142: c > $o] :
            ( ( member_c @ SV14 @ ( collect_c @ SY1142 ) )
            = ( SY1142 @ SV14 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[794]) ).

thf(1377,plain,
    ! [SV15: set_Sum_sum_c_c] :
      ( ( ( collect_Sum_sum_c_c
          @ ^ [SY1143: sum_sum_c_c] : ( member_Sum_sum_c_c @ SY1143 @ SV15 ) )
        = SV15 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[795]) ).

thf(1378,plain,
    ! [SV16: set_Sum_sum_c_d] :
      ( ( ( collect_Sum_sum_c_d
          @ ^ [SY1144: sum_sum_c_d] : ( member_Sum_sum_c_d @ SY1144 @ SV16 ) )
        = SV16 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[796]) ).

thf(1379,plain,
    ! [SV17: set_Pr1389752855real_c] :
      ( ( ( collec1643251106real_c
          @ ^ [SY1145: produc190496183real_c] : ( member1895684704real_c @ SY1145 @ SV17 ) )
        = SV17 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[797]) ).

thf(1380,plain,
    ! [SV18: set_re2066790124real_c] :
      ( ( ( collec913357835real_c
          @ ^ [SY1146: real > finite1398487019real_c] : ( member1321351885real_c @ SY1146 @ SV18 ) )
        = SV18 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[798]) ).

thf(1381,plain,
    ! [SV19: set_Fi1407883041real_c] :
      ( ( ( collec230941376real_c
          @ ^ [SY1147: finite1398487019real_c] : ( member1261661570real_c @ SY1147 @ SV19 ) )
        = SV19 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[799]) ).

thf(1382,plain,
    ! [SV20: set_c] :
      ( ( ( collect_c
          @ ^ [SY1148: c] : ( member_c @ SY1148 @ SV20 ) )
        = SV20 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[800]) ).

thf(1383,plain,
    ! [SV21: finite1398487019real_c] :
      ( ( ! [SY1149: finite1398487019real_c] :
            ( ( produc2010422875real_c @ ( produc394644079real_c @ SV21 @ SY1149 ) )
            = SV21 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[803]) ).

thf(1384,plain,
    ! [SV22: finite1398487019real_c] :
      ( ( ! [SY1150: finite1398487019real_c] :
            ( ( produc314122909real_c @ ( produc394644079real_c @ SV22 @ SY1150 ) )
            = SY1150 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[805]) ).

thf(1385,plain,
    ! [SV23: finite1398487019real_c] :
      ( ( ( finite557796307c_real @ ( finite772340578real_c @ SV23 ) )
        = SV23 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[810]) ).

thf(1386,plain,
    ! [SV24: finite1398487019real_c] :
      ( ( ! [SY1151: c > real] :
            ( ( ! [SY1152: c] :
                  ( ( finite772340578real_c @ SV24 @ SY1152 )
                  = ( SY1151 @ SY1152 ) ) )
            = ( ( finite557796307c_real @ SY1151 )
              = SV24 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[811]) ).

thf(1387,plain,
    ! [SV25: produc190496183real_c] :
      ( ( SV25
        = ( produc394644079real_c @ ( produc2010422875real_c @ SV25 ) @ ( produc314122909real_c @ SV25 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[813]) ).

thf(1388,plain,
    ! [SV26: produc190496183real_c] :
      ( ( SV26
        = ( produc394644079real_c @ ( produc2010422875real_c @ SV26 ) @ ( produc314122909real_c @ SV26 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[814]) ).

thf(1389,plain,
    ( ( ! [SV27: denota231621370t_unit] :
          ( ( denota161327353_a_b_c @ SV27 )
          = ( ^ [SY1153: oDE_a_c,SY1154: produc190496183real_c,SY1155: finite1398487019real_c] :
                ( produc394644079real_c
                @ ( finite557796307c_real
                  @ ^ [SY1156: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY1156 ) @ ( denota1293057250_a_b_c @ SV27 @ SY1153 ) ) @ SY1155 @ ( produc2010422875real_c @ SY1154 ) ) @ SY1156 ) )
                @ ( finite557796307c_real
                  @ ^ [SY1157: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY1157 ) @ ( denota1293057250_a_b_c @ SV27 @ SY1153 ) ) @ ( denota1275485728_a_b_c @ SV27 @ SY1153 @ SY1155 ) @ ( produc314122909real_c @ SY1154 ) ) @ SY1157 ) ) ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[815]) ).

thf(1390,plain,
    ( ( denota161327353_a_b_c
      = ( ^ [I5: denota231621370t_unit,ODE2: oDE_a_c,Nu: produc190496183real_c,Sol2: finite1398487019real_c] :
            ( produc394644079real_c
            @ ( finite557796307c_real
              @ ^ [I2: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ I2 ) @ ( denota1293057250_a_b_c @ I5 @ ODE2 ) ) @ Sol2 @ ( produc2010422875real_c @ Nu ) ) @ I2 ) )
            @ ( finite557796307c_real
              @ ^ [I2: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ I2 ) @ ( denota1293057250_a_b_c @ I5 @ ODE2 ) ) @ ( denota1275485728_a_b_c @ I5 @ ODE2 @ Sol2 ) @ ( produc314122909real_c @ Nu ) ) @ I2 ) ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[815]) ).

thf(1391,plain,
    ( ( ! [SV28: denota231621370t_unit] :
          ( ( denota310462944_a_b_c @ SV28 )
          = ( ^ [SY1158: oDE_a_c,SY1159: produc190496183real_c,SY1160: finite1398487019real_c] :
                ( produc394644079real_c
                @ ( finite557796307c_real
                  @ ^ [SY1161: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY1161 ) @ ( denota1293057250_a_b_c @ SV28 @ SY1158 ) ) @ SY1160 @ ( produc2010422875real_c @ SY1159 ) ) @ SY1161 ) )
                @ ( finite557796307c_real
                  @ ^ [SY1162: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY1162 ) @ ( denota1293057250_a_b_c @ SV28 @ SY1158 ) ) @ ( denota1275485728_a_b_c @ SV28 @ SY1158 @ SY1160 ) @ ( produc314122909real_c @ SY1159 ) ) @ SY1162 ) ) ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[819]) ).

thf(1392,plain,
    ( ( denota310462944_a_b_c
      = ( ^ [I5: denota231621370t_unit,ODE2: oDE_a_c,Nu: produc190496183real_c,Sol2: finite1398487019real_c] :
            ( produc394644079real_c
            @ ( finite557796307c_real
              @ ^ [I2: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ I2 ) @ ( denota1293057250_a_b_c @ I5 @ ODE2 ) ) @ Sol2 @ ( produc2010422875real_c @ Nu ) ) @ I2 ) )
            @ ( finite557796307c_real
              @ ^ [I2: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ I2 ) @ ( denota1293057250_a_b_c @ I5 @ ODE2 ) ) @ ( denota1275485728_a_b_c @ I5 @ ODE2 @ Sol2 ) @ ( produc314122909real_c @ Nu ) ) @ I2 ) ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[819]) ).

thf(1393,plain,
    ! [SV29: real] :
      ( ( ( zero_zero_real
          = ( uminus_uminus_real @ SV29 ) )
        = ( zero_zero_real = SV29 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[826]) ).

thf(1394,plain,
    ! [SV30: real] :
      ( ( ( ( uminus_uminus_real @ SV30 )
          = zero_zero_real )
        = ( SV30 = zero_zero_real ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[827]) ).

thf(1395,plain,
    ! [SV31: real] :
      ( ( ( SV31
          = ( uminus_uminus_real @ SV31 ) )
        = ( SV31 = zero_zero_real ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[828]) ).

thf(1396,plain,
    ! [SV32: real] :
      ( ( ( ( uminus_uminus_real @ SV32 )
          = SV32 )
        = ( SV32 = zero_zero_real ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[829]) ).

thf(1397,plain,
    ! [SV33: real] :
      ( ( ! [SY1163: real] :
            ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV33 ) @ ( uminus_uminus_real @ SY1163 ) )
            = ( ord_less_eq_real @ SY1163 @ SV33 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[830]) ).

thf(1398,plain,
    ! [SV34: finite1398487019real_c] :
      ( ( ! [SY1164: finite1398487019real_c] :
            ( ( uminus17964590real_c @ ( produc394644079real_c @ SV34 @ SY1164 ) )
            = ( produc394644079real_c @ ( uminus1737280820real_c @ SV34 ) @ ( uminus1737280820real_c @ SY1164 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[831]) ).

thf(1399,plain,
    ! [SV35: set_Sum_sum_c_c] :
      ( ( ! [SY1165: set_Sum_sum_c_c] :
            ( ( uminus1225118734um_c_c @ ( produc1439061071um_c_c @ SV35 @ SY1165 ) )
            = ( produc1439061071um_c_c @ ( uminus1381786404um_c_c @ SV35 ) @ ( uminus1381786404um_c_c @ SY1165 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[832]) ).

thf(1400,plain,
    ! [SV36: finite1398487019real_c] :
      ( ( ! [SY1166: c] :
            ( ( finite772340578real_c @ ( uminus1737280820real_c @ SV36 ) @ SY1166 )
            = ( uminus_uminus_real @ ( finite772340578real_c @ SV36 @ SY1166 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[833]) ).

thf(1401,plain,
    ! [SV37: produc190496183real_c] :
      ( ( ( produc2010422875real_c @ ( uminus17964590real_c @ SV37 ) )
        = ( uminus1737280820real_c @ ( produc2010422875real_c @ SV37 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[834]) ).

thf(1402,plain,
    ! [SV38: produc190496183real_c] :
      ( ( ( produc314122909real_c @ ( uminus17964590real_c @ SV38 ) )
        = ( uminus1737280820real_c @ ( produc314122909real_c @ SV38 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[835]) ).

thf(1403,plain,
    ! [SV39: real] :
      ( ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV39 ) @ SV39 )
        = ( ord_less_eq_real @ zero_zero_real @ SV39 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[836]) ).

thf(1404,plain,
    ! [SV40: real] :
      ( ( ( ord_less_eq_real @ SV40 @ ( uminus_uminus_real @ SV40 ) )
        = ( ord_less_eq_real @ SV40 @ zero_zero_real ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[837]) ).

thf(1405,plain,
    ! [SV41: real] :
      ( ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV41 ) @ zero_zero_real )
        = ( ord_less_eq_real @ zero_zero_real @ SV41 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[838]) ).

thf(1406,plain,
    ! [SV42: real] :
      ( ( ( ord_less_eq_real @ zero_zero_real @ ( uminus_uminus_real @ SV42 ) )
        = ( ord_less_eq_real @ SV42 @ zero_zero_real ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[839]) ).

thf(1407,plain,
    ! [SV43: real] :
      ( ( ! [SY1167: real] :
            ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV43 ) @ SY1167 )
            = ( ord_less_eq_real @ ( uminus_uminus_real @ SY1167 ) @ SV43 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[843]) ).

thf(1408,plain,
    ! [SV44: real] :
      ( ( ! [SY1168: real] :
            ( ( ord_less_eq_real @ SV44 @ ( uminus_uminus_real @ SY1168 ) )
            = ( ord_less_eq_real @ SY1168 @ ( uminus_uminus_real @ SV44 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[844]) ).

thf(1409,plain,
    ( ( ! [SV45: finite1398487019real_c] :
          ( ( uminus1737280820real_c @ SV45 )
          = ( finite557796307c_real
            @ ^ [SY1169: c] : ( uminus_uminus_real @ ( finite772340578real_c @ SV45 @ SY1169 ) ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[848]) ).

thf(1410,plain,
    ( ( uminus1737280820real_c
      = ( ^ [X3: finite1398487019real_c] :
            ( finite557796307c_real
            @ ^ [I2: c] : ( uminus_uminus_real @ ( finite772340578real_c @ X3 @ I2 ) ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[848]) ).

thf(1411,plain,
    ( ( ! [SV46: produc190496183real_c] :
          ( ( uminus17964590real_c @ SV46 )
          = ( produc394644079real_c @ ( uminus1737280820real_c @ ( produc2010422875real_c @ SV46 ) ) @ ( uminus1737280820real_c @ ( produc314122909real_c @ SV46 ) ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[849]) ).

thf(1412,plain,
    ( ( uminus17964590real_c
      = ( ^ [X3: produc190496183real_c] : ( produc394644079real_c @ ( uminus1737280820real_c @ ( produc2010422875real_c @ X3 ) ) @ ( uminus1737280820real_c @ ( produc314122909real_c @ X3 ) ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[849]) ).

thf(1413,plain,
    ( ( ! [SV47: produc214722967um_c_c] :
          ( ( uminus1225118734um_c_c @ SV47 )
          = ( produc1439061071um_c_c @ ( uminus1381786404um_c_c @ ( produc1983230011um_c_c @ SV47 ) ) @ ( uminus1381786404um_c_c @ ( produc1132019837um_c_c @ SV47 ) ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[850]) ).

thf(1414,plain,
    ( ( uminus1225118734um_c_c
      = ( ^ [X3: produc214722967um_c_c] : ( produc1439061071um_c_c @ ( uminus1381786404um_c_c @ ( produc1983230011um_c_c @ X3 ) ) @ ( uminus1381786404um_c_c @ ( produc1132019837um_c_c @ X3 ) ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[850]) ).

thf(1415,plain,
    ( ( ! [SV48: denota231621370t_unit] :
          ( ( denota1896987029_a_b_c @ SV48 )
          = ( ^ [SY1170: oDE_a_c,SY1171: finite1398487019real_c] : ( produc394644079real_c @ SY1171 @ ( denota1275485728_a_b_c @ SV48 @ SY1170 @ SY1171 ) ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[853]) ).

thf(1416,plain,
    ( ( denota1896987029_a_b_c
      = ( ^ [I5: denota231621370t_unit,ODE2: oDE_a_c,Sol2: finite1398487019real_c] : ( produc394644079real_c @ Sol2 @ ( denota1275485728_a_b_c @ I5 @ ODE2 @ Sol2 ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[853]) ).

thf(1417,plain,
    ! [SV49: real] :
      ( ( ( zero_zero_real = SV49 )
        = ( SV49 = zero_zero_real ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[854]) ).

thf(1418,plain,
    ! [SV50: produc190496183real_c] :
      ( ( ! [SY1172: set_Sum_sum_c_c] : ( denota1997846518gree_c @ SV50 @ SV50 @ SY1172 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[855]) ).

thf(1419,plain,
    ! [SV51: c] :
      ( ( ! [SY1173: denota231621370t_unit,SY1174: oDE_a_c] :
            ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SV51 ) @ ( denota1293057250_a_b_c @ SY1173 @ SY1174 ) )
            = ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SV51 ) @ ( denota1293057250_a_b_c @ SY1173 @ SY1174 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[863]) ).

thf(1420,plain,
    ! [SV52: set_Sum_sum_c_c] :
      ( ( ! [SY1175: set_Sum_sum_c_c] :
            ( ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SV52 ) @ ( uminus1381786404um_c_c @ SY1175 ) )
            = ( ord_le1772180283um_c_c @ SY1175 @ SV52 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[868]) ).

thf(1421,plain,
    ! [SV53: produc190496183real_c] :
      ( ( ! [SY1176: denota231621370t_unit,SY1177: formula_a_b_c,SY1178: formula_a_b_c] :
            ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SY1176 @ ( equiv_a_b_c @ SY1177 @ SY1178 ) ) )
            = ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SY1176 @ SY1177 ) )
              = ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SY1176 @ SY1178 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[869]) ).

thf(1422,plain,
    ! [SV54: set_Sum_sum_c_c] :
      ( ( ( uminus1381786404um_c_c @ ( uminus1381786404um_c_c @ SV54 ) )
        = SV54 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[870]) ).

thf(1423,plain,
    ! [SV55: set_Sum_sum_c_c] :
      ( ( ! [SY1179: set_Sum_sum_c_c] :
            ( ( ( uminus1381786404um_c_c @ SV55 )
              = ( uminus1381786404um_c_c @ SY1179 ) )
            = ( SV55 = SY1179 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[871]) ).

thf(1424,plain,
    ! [SV56: finite1398487019real_c] :
      ( ( ! [SY1180: set_c] : ( denota256060419gree_c @ SV56 @ SV56 @ SY1180 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[874]) ).

thf(1425,plain,
    ! [SV57: real] :
      ( ( ! [SY1181: real] :
            ( ( image_real_real @ uminus_uminus_real @ ( set_or656347191t_real @ SV57 @ SY1181 ) )
            = ( set_or656347191t_real @ ( uminus_uminus_real @ SY1181 ) @ ( uminus_uminus_real @ SV57 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[879]) ).

thf(1426,plain,
    ! [SV58: set_Sum_sum_c_c] :
      ( ( ! [SY1182: set_Sum_sum_c_c] :
            ( ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SV58 ) @ ( uminus1381786404um_c_c @ SY1182 ) )
            = ( ord_le1772180283um_c_c @ SY1182 @ SV58 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[881]) ).

thf(1427,plain,
    ! [SV59: set_Sum_sum_c_c] :
      ( ( ! [SY1183: set_Sum_sum_c_c] :
            ( ( ( uminus1381786404um_c_c @ SV59 )
              = ( uminus1381786404um_c_c @ SY1183 ) )
            = ( SV59 = SY1183 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[898]) ).

thf(1428,plain,
    ! [SV60: c] :
      ( ( ! [SY1184: set_c] :
            ( ( member_c @ SV60 @ ( uminus_uminus_set_c @ SY1184 ) )
            = ( ~ ( member_c @ SV60 @ SY1184 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[899]) ).

thf(1429,plain,
    ! [SV61: sum_sum_c_d] :
      ( ( ! [SY1185: set_Sum_sum_c_d] :
            ( ( member_Sum_sum_c_d @ SV61 @ ( uminus373867045um_c_d @ SY1185 ) )
            = ( ~ ( member_Sum_sum_c_d @ SV61 @ SY1185 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[900]) ).

thf(1430,plain,
    ! [SV62: produc190496183real_c] :
      ( ( ! [SY1186: set_Pr1389752855real_c] :
            ( ( member1895684704real_c @ SV62 @ ( uminus232257166real_c @ SY1186 ) )
            = ( ~ ( member1895684704real_c @ SV62 @ SY1186 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[901]) ).

thf(1431,plain,
    ! [SV63: real > finite1398487019real_c] :
      ( ( ! [SY1187: set_re2066790124real_c] :
            ( ( member1321351885real_c @ SV63 @ ( uminus946614837real_c @ SY1187 ) )
            = ( ~ ( member1321351885real_c @ SV63 @ SY1187 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[902]) ).

thf(1432,plain,
    ! [SV64: sum_sum_c_c] :
      ( ( ! [SY1188: set_Sum_sum_c_c] :
            ( ( member_Sum_sum_c_c @ SV64 @ ( uminus1381786404um_c_c @ SY1188 ) )
            = ( ~ ( member_Sum_sum_c_c @ SV64 @ SY1188 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[903]) ).

thf(1433,plain,
    ! [SV65: set_Sum_sum_c_c] :
      ( ( ( uminus1381786404um_c_c @ ( uminus1381786404um_c_c @ SV65 ) )
        = SV65 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[965]) ).

thf(1434,plain,
    ! [SV66: sum_sum_c_c > sum_sum_c_c] :
      ( ( ! [SY1189: c > sum_sum_c_c,SY1190: set_c] :
            ( ( image_666880337um_c_c @ SV66 @ ( image_c_Sum_sum_c_c @ SY1189 @ SY1190 ) )
            = ( image_c_Sum_sum_c_c
              @ ^ [SY1191: c] : ( SV66 @ ( SY1189 @ SY1191 ) )
              @ SY1190 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[981]) ).

thf(1435,plain,
    ! [SV67: sum_sum_c_c > sum_sum_c_d] :
      ( ( ! [SY1192: c > sum_sum_c_c,SY1193: set_c] :
            ( ( image_675141842um_c_d @ SV67 @ ( image_c_Sum_sum_c_c @ SY1192 @ SY1193 ) )
            = ( image_c_Sum_sum_c_d
              @ ^ [SY1194: c] : ( SV67 @ ( SY1192 @ SY1194 ) )
              @ SY1193 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[982]) ).

thf(1436,plain,
    ! [SV68: sum_sum_c_d > sum_sum_c_c] :
      ( ( ! [SY1195: c > sum_sum_c_d,SY1196: set_c] :
            ( ( image_1558941394um_c_c @ SV68 @ ( image_c_Sum_sum_c_d @ SY1195 @ SY1196 ) )
            = ( image_c_Sum_sum_c_c
              @ ^ [SY1197: c] : ( SV68 @ ( SY1195 @ SY1197 ) )
              @ SY1196 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[983]) ).

thf(1437,plain,
    ! [SV69: sum_sum_c_d > sum_sum_c_d] :
      ( ( ! [SY1198: c > sum_sum_c_d,SY1199: set_c] :
            ( ( image_1567202899um_c_d @ SV69 @ ( image_c_Sum_sum_c_d @ SY1198 @ SY1199 ) )
            = ( image_c_Sum_sum_c_d
              @ ^ [SY1200: c] : ( SV69 @ ( SY1198 @ SY1200 ) )
              @ SY1199 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[984]) ).

thf(1438,plain,
    ! [SV70: c > sum_sum_c_c] :
      ( ( ! [SY1201: c > c,SY1202: set_c] :
            ( ( image_c_Sum_sum_c_c @ SV70 @ ( image_c_c @ SY1201 @ SY1202 ) )
            = ( image_c_Sum_sum_c_c
              @ ^ [SY1203: c] : ( SV70 @ ( SY1201 @ SY1203 ) )
              @ SY1202 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[985]) ).

thf(1439,plain,
    ! [SV71: c > sum_sum_c_d] :
      ( ( ! [SY1204: c > c,SY1205: set_c] :
            ( ( image_c_Sum_sum_c_d @ SV71 @ ( image_c_c @ SY1204 @ SY1205 ) )
            = ( image_c_Sum_sum_c_d
              @ ^ [SY1206: c] : ( SV71 @ ( SY1204 @ SY1206 ) )
              @ SY1205 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[986]) ).

thf(1440,plain,
    ( ( ! [SV72: set_Sum_sum_c_c] :
          ( ( ord_le1772180283um_c_c @ SV72 )
          = ( ^ [SY1207: set_Sum_sum_c_c] :
                ( ord_le1315653386_c_c_o
                @ ^ [SY1208: sum_sum_c_c] : ( member_Sum_sum_c_c @ SY1208 @ SV72 )
                @ ^ [X3: sum_sum_c_c] : ( member_Sum_sum_c_c @ X3 @ SY1207 ) ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[997]) ).

thf(1441,plain,
    ( ( ord_le1772180283um_c_c
      = ( ^ [A5: set_Sum_sum_c_c,B5: set_Sum_sum_c_c] :
            ( ord_le1315653386_c_c_o
            @ ^ [X3: sum_sum_c_c] : ( member_Sum_sum_c_c @ X3 @ A5 )
            @ ^ [X3: sum_sum_c_c] : ( member_Sum_sum_c_c @ X3 @ B5 ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[997]) ).

thf(1442,plain,
    ( ( ! [SV73: set_c] :
          ( ( ord_less_eq_set_c @ SV73 )
          = ( ^ [SY1210: set_c] :
                ( ord_less_eq_c_o
                @ ^ [SY1211: c] : ( member_c @ SY1211 @ SV73 )
                @ ^ [X3: c] : ( member_c @ X3 @ SY1210 ) ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[998]) ).

thf(1443,plain,
    ( ( ord_less_eq_set_c
      = ( ^ [A5: set_c,B5: set_c] :
            ( ord_less_eq_c_o
            @ ^ [X3: c] : ( member_c @ X3 @ A5 )
            @ ^ [X3: c] : ( member_c @ X3 @ B5 ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[998]) ).

thf(1444,plain,
    ( ( ! [SV74: set_Sum_sum_c_d] :
          ( ( ord_le764260924um_c_d @ SV74 )
          = ( ^ [SY1213: set_Sum_sum_c_d] :
                ( ord_le2143422793_c_d_o
                @ ^ [SY1214: sum_sum_c_d] : ( member_Sum_sum_c_d @ SY1214 @ SV74 )
                @ ^ [X3: sum_sum_c_d] : ( member_Sum_sum_c_d @ X3 @ SY1213 ) ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[999]) ).

thf(1445,plain,
    ( ( ord_le764260924um_c_d
      = ( ^ [A5: set_Sum_sum_c_d,B5: set_Sum_sum_c_d] :
            ( ord_le2143422793_c_d_o
            @ ^ [X3: sum_sum_c_d] : ( member_Sum_sum_c_d @ X3 @ A5 )
            @ ^ [X3: sum_sum_c_d] : ( member_Sum_sum_c_d @ X3 @ B5 ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[999]) ).

thf(1446,plain,
    ( ( ! [SV75: set_Pr1389752855real_c] :
          ( ( ord_le977353143real_c @ SV75 )
          = ( ^ [SY1216: set_Pr1389752855real_c] :
                ( ord_le1132241894al_c_o
                @ ^ [SY1217: produc190496183real_c] : ( member1895684704real_c @ SY1217 @ SV75 )
                @ ^ [X3: produc190496183real_c] : ( member1895684704real_c @ X3 @ SY1216 ) ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1000]) ).

thf(1447,plain,
    ( ( ord_le977353143real_c
      = ( ^ [A5: set_Pr1389752855real_c,B5: set_Pr1389752855real_c] :
            ( ord_le1132241894al_c_o
            @ ^ [X3: produc190496183real_c] : ( member1895684704real_c @ X3 @ A5 )
            @ ^ [X3: produc190496183real_c] : ( member1895684704real_c @ X3 @ B5 ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1000]) ).

thf(1448,plain,
    ( ( ! [SV76: set_re2066790124real_c] :
          ( ( ord_le35002188real_c @ SV76 )
          = ( ^ [SY1219: set_re2066790124real_c] :
                ( ord_le818951225al_c_o
                @ ^ [SY1220: real > finite1398487019real_c] : ( member1321351885real_c @ SY1220 @ SV76 )
                @ ^ [X3: real > finite1398487019real_c] : ( member1321351885real_c @ X3 @ SY1219 ) ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1001]) ).

thf(1449,plain,
    ( ( ord_le35002188real_c
      = ( ^ [A5: set_re2066790124real_c,B5: set_re2066790124real_c] :
            ( ord_le818951225al_c_o
            @ ^ [X3: real > finite1398487019real_c] : ( member1321351885real_c @ X3 @ A5 )
            @ ^ [X3: real > finite1398487019real_c] : ( member1321351885real_c @ X3 @ B5 ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1001]) ).

thf(1450,plain,
    ! [SV77: finite1398487019real_c > $o] :
      ( ( ( collec230941376real_c
          @ ^ [SY1222: finite1398487019real_c] :
              ~ ( SV77 @ SY1222 ) )
        = ( uminus102402154real_c @ ( collec230941376real_c @ SV77 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1008]) ).

thf(1451,plain,
    ! [SV78: c > $o] :
      ( ( ( collect_c
          @ ^ [SY1223: c] :
              ~ ( SV78 @ SY1223 ) )
        = ( uminus_uminus_set_c @ ( collect_c @ SV78 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1009]) ).

thf(1452,plain,
    ! [SV79: sum_sum_c_c > $o] :
      ( ( ( collect_Sum_sum_c_c
          @ ^ [SY1224: sum_sum_c_c] :
              ~ ( SV79 @ SY1224 ) )
        = ( uminus1381786404um_c_c @ ( collect_Sum_sum_c_c @ SV79 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1010]) ).

thf(1453,plain,
    ( ( ! [SV80: set_Sum_sum_c_d] :
          ( ( uminus373867045um_c_d @ SV80 )
          = ( collect_Sum_sum_c_d
            @ ^ [SY1225: sum_sum_c_d] :
                ~ ( member_Sum_sum_c_d @ SY1225 @ SV80 ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1011]) ).

thf(1454,plain,
    ( ( uminus373867045um_c_d
      = ( ^ [A5: set_Sum_sum_c_d] :
            ( collect_Sum_sum_c_d
            @ ^ [X3: sum_sum_c_d] :
                ~ ( member_Sum_sum_c_d @ X3 @ A5 ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1011]) ).

thf(1455,plain,
    ( ( ! [SV81: set_Pr1389752855real_c] :
          ( ( uminus232257166real_c @ SV81 )
          = ( collec1643251106real_c
            @ ^ [SY1226: produc190496183real_c] :
                ~ ( member1895684704real_c @ SY1226 @ SV81 ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1012]) ).

thf(1456,plain,
    ( ( uminus232257166real_c
      = ( ^ [A5: set_Pr1389752855real_c] :
            ( collec1643251106real_c
            @ ^ [X3: produc190496183real_c] :
                ~ ( member1895684704real_c @ X3 @ A5 ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1012]) ).

thf(1457,plain,
    ( ( ! [SV82: set_re2066790124real_c] :
          ( ( uminus946614837real_c @ SV82 )
          = ( collec913357835real_c
            @ ^ [SY1227: real > finite1398487019real_c] :
                ~ ( member1321351885real_c @ SY1227 @ SV82 ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1013]) ).

thf(1458,plain,
    ( ( uminus946614837real_c
      = ( ^ [A5: set_re2066790124real_c] :
            ( collec913357835real_c
            @ ^ [X3: real > finite1398487019real_c] :
                ~ ( member1321351885real_c @ X3 @ A5 ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1013]) ).

thf(1459,plain,
    ( ( ! [SV83: set_Fi1407883041real_c] :
          ( ( uminus102402154real_c @ SV83 )
          = ( collec230941376real_c
            @ ^ [SY1228: finite1398487019real_c] :
                ~ ( member1261661570real_c @ SY1228 @ SV83 ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1014]) ).

thf(1460,plain,
    ( ( uminus102402154real_c
      = ( ^ [A5: set_Fi1407883041real_c] :
            ( collec230941376real_c
            @ ^ [X3: finite1398487019real_c] :
                ~ ( member1261661570real_c @ X3 @ A5 ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1014]) ).

thf(1461,plain,
    ( ( ! [SV84: set_c] :
          ( ( uminus_uminus_set_c @ SV84 )
          = ( collect_c
            @ ^ [SY1229: c] :
                ~ ( member_c @ SY1229 @ SV84 ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1015]) ).

thf(1462,plain,
    ( ( uminus_uminus_set_c
      = ( ^ [A5: set_c] :
            ( collect_c
            @ ^ [X3: c] :
                ~ ( member_c @ X3 @ A5 ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1015]) ).

thf(1463,plain,
    ( ( ! [SV85: set_Sum_sum_c_c] :
          ( ( uminus1381786404um_c_c @ SV85 )
          = ( collect_Sum_sum_c_c
            @ ^ [SY1230: sum_sum_c_c] :
                ~ ( member_Sum_sum_c_c @ SY1230 @ SV85 ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1016]) ).

thf(1464,plain,
    ( ( uminus1381786404um_c_c
      = ( ^ [A5: set_Sum_sum_c_c] :
            ( collect_Sum_sum_c_c
            @ ^ [X3: sum_sum_c_c] :
                ~ ( member_Sum_sum_c_c @ X3 @ A5 ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1016]) ).

thf(1465,plain,
    ( ( ! [SV86: set_Sum_sum_c_d] :
          ( ( uminus373867045um_c_d @ SV86 )
          = ( collect_Sum_sum_c_d
            @ ( uminus916499104_c_d_o
              @ ^ [SY1231: sum_sum_c_d] : ( member_Sum_sum_c_d @ SY1231 @ SV86 ) ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1017]) ).

thf(1466,plain,
    ( ( uminus373867045um_c_d
      = ( ^ [A5: set_Sum_sum_c_d] :
            ( collect_Sum_sum_c_d
            @ ( uminus916499104_c_d_o
              @ ^ [X3: sum_sum_c_d] : ( member_Sum_sum_c_d @ X3 @ A5 ) ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1017]) ).

thf(1467,plain,
    ( ( ! [SV87: set_Pr1389752855real_c] :
          ( ( uminus232257166real_c @ SV87 )
          = ( collec1643251106real_c
            @ ( uminus32155087al_c_o
              @ ^ [SY1232: produc190496183real_c] : ( member1895684704real_c @ SY1232 @ SV87 ) ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1018]) ).

thf(1468,plain,
    ( ( uminus232257166real_c
      = ( ^ [A5: set_Pr1389752855real_c] :
            ( collec1643251106real_c
            @ ( uminus32155087al_c_o
              @ ^ [X3: produc190496183real_c] : ( member1895684704real_c @ X3 @ A5 ) ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1018]) ).

thf(1469,plain,
    ( ( ! [SV88: set_re2066790124real_c] :
          ( ( uminus946614837real_c @ SV88 )
          = ( collec913357835real_c
            @ ( uminus1756072592al_c_o
              @ ^ [SY1233: real > finite1398487019real_c] : ( member1321351885real_c @ SY1233 @ SV88 ) ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1019]) ).

thf(1470,plain,
    ( ( uminus946614837real_c
      = ( ^ [A5: set_re2066790124real_c] :
            ( collec913357835real_c
            @ ( uminus1756072592al_c_o
              @ ^ [X3: real > finite1398487019real_c] : ( member1321351885real_c @ X3 @ A5 ) ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1019]) ).

thf(1471,plain,
    ( ( ! [SV89: set_Fi1407883041real_c] :
          ( ( uminus102402154real_c @ SV89 )
          = ( collec230941376real_c
            @ ( uminus23580315al_c_o
              @ ^ [SY1234: finite1398487019real_c] : ( member1261661570real_c @ SY1234 @ SV89 ) ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1020]) ).

thf(1472,plain,
    ( ( uminus102402154real_c
      = ( ^ [A5: set_Fi1407883041real_c] :
            ( collec230941376real_c
            @ ( uminus23580315al_c_o
              @ ^ [X3: finite1398487019real_c] : ( member1261661570real_c @ X3 @ A5 ) ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1020]) ).

thf(1473,plain,
    ( ( ! [SV90: set_c] :
          ( ( uminus_uminus_set_c @ SV90 )
          = ( collect_c
            @ ( uminus_uminus_c_o
              @ ^ [SY1235: c] : ( member_c @ SY1235 @ SV90 ) ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1021]) ).

thf(1474,plain,
    ( ( uminus_uminus_set_c
      = ( ^ [A5: set_c] :
            ( collect_c
            @ ( uminus_uminus_c_o
              @ ^ [X3: c] : ( member_c @ X3 @ A5 ) ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1021]) ).

thf(1475,plain,
    ( ( ! [SV91: set_Sum_sum_c_c] :
          ( ( uminus1381786404um_c_c @ SV91 )
          = ( collect_Sum_sum_c_c
            @ ( uminus88729697_c_c_o
              @ ^ [SY1236: sum_sum_c_c] : ( member_Sum_sum_c_c @ SY1236 @ SV91 ) ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1022]) ).

thf(1476,plain,
    ( ( uminus1381786404um_c_c
      = ( ^ [A5: set_Sum_sum_c_c] :
            ( collect_Sum_sum_c_c
            @ ( uminus88729697_c_c_o
              @ ^ [X3: sum_sum_c_c] : ( member_Sum_sum_c_c @ X3 @ A5 ) ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1022]) ).

thf(1477,plain,
    ( ( ! [SV92: produc190496183real_c] :
          ( ( denotational_repd_c @ SV92 )
          = ( ^ [SY1237: c,SY1238: real] :
                ( produc394644079real_c @ ( produc2010422875real_c @ SV92 )
                @ ( finite557796307c_real
                  @ ^ [SY1239: c] : ( if_real @ ( SY1237 = SY1239 ) @ SY1238 @ ( finite772340578real_c @ ( produc314122909real_c @ SV92 ) @ SY1239 ) ) ) ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1042]) ).

thf(1478,plain,
    ( ( denotational_repd_c
      = ( ^ [V3: produc190496183real_c,X3: c,R: real] :
            ( produc394644079real_c @ ( produc2010422875real_c @ V3 )
            @ ( finite557796307c_real
              @ ^ [Y3: c] : ( if_real @ ( X3 = Y3 ) @ R @ ( finite772340578real_c @ ( produc314122909real_c @ V3 ) @ Y3 ) ) ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1042]) ).

thf(1479,plain,
    ! [SV93: c > sum_sum_c_c] :
      ( ( ! [SY1240: set_c,SY1241: set_Sum_sum_c_c] :
            ( ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV93 @ SY1240 ) @ SY1241 )
            = ( member_c_Sum_sum_c_c @ SV93
              @ ( pi_c_Sum_sum_c_c @ SY1240
                @ ^ [Uu: c] : SY1241 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1043]) ).

thf(1480,plain,
    ! [SV94: c > sum_sum_c_d] :
      ( ( ! [SY1243: set_c,SY1244: set_Sum_sum_c_d] :
            ( ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV94 @ SY1243 ) @ SY1244 )
            = ( member_c_Sum_sum_c_d @ SV94
              @ ( pi_c_Sum_sum_c_d @ SY1243
                @ ^ [Uu: c] : SY1244 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1044]) ).

thf(1481,plain,
    ! [SV95: real > finite1398487019real_c] :
      ( ( ! [SY1246: set_real,SY1247: set_Fi1407883041real_c] :
            ( ( ord_le1327118209real_c @ ( image_327677598real_c @ SV95 @ SY1246 ) @ SY1247 )
            = ( member1321351885real_c @ SV95
              @ ( pi_rea1111636068real_c @ SY1246
                @ ^ [Uu: real] : SY1247 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1045]) ).

thf(1482,plain,
    ! [SV96: real] :
      ( ( ! [SY1249: real] :
            ( ( if_real @ $false @ SV96 @ SY1249 )
            = SY1249 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1104]) ).

thf(1483,plain,
    ! [SV97: real] :
      ( ( ! [SY1250: real] :
            ( ( if_real @ $true @ SV97 @ SY1250 )
            = SV97 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1105]) ).

thf(1484,plain,
    ! [SV98: $o] :
      ( ( ( SV98 = $true )
        | ( SV98 = $false ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[1106]) ).

thf(1485,plain,
    ( ( ( $true = $true )
      | ( $true = $false ) )
    = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[1106]) ).

thf(1486,plain,
    ( ( ( $false = $true )
      | ( $false = $false ) )
    = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[1106]) ).

thf(1487,plain,
    ! [SV99: finite1398487019real_c] :
      ( ( ! [SY1251: finite1398487019real_c] :
            ( ( if_Fin36944805real_c @ $false @ SV99 @ SY1251 )
            = SY1251 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1107]) ).

thf(1488,plain,
    ! [SV100: finite1398487019real_c] :
      ( ( ! [SY1252: finite1398487019real_c] :
            ( ( if_Fin36944805real_c @ $true @ SV100 @ SY1252 )
            = SV100 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1108]) ).

thf(1489,plain,
    ( ( ( finite772340578real_c @ ab @ i2 )
      = ( finite772340578real_c @ ( sol @ x ) @ i2 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1109]) ).

thf(1490,plain,
    ! [SV101: set_Sum_sum_c_d] :
      ( ( ! [SY1253: set_Sum_sum_c_d,SY1254: sum_sum_c_d] :
            ( ~ ( ord_le764260924um_c_d @ SV101 @ SY1253 )
            | ~ ( member_Sum_sum_c_d @ SY1254 @ SV101 )
            | ( member_Sum_sum_c_d @ SY1254 @ SY1253 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1110]) ).

thf(1491,plain,
    ! [SV102: set_Sum_sum_c_d] :
      ( ( ! [SY1255: set_Sum_sum_c_d] :
            ( ~ ! [SY1256: sum_sum_c_d] :
                  ( ~ ( member_Sum_sum_c_d @ SY1256 @ SV102 )
                  | ( member_Sum_sum_c_d @ SY1256 @ SY1255 ) )
            | ( ord_le764260924um_c_d @ SV102 @ SY1255 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1111]) ).

thf(1492,plain,
    ! [SV103: real > finite1398487019real_c] :
      ( ( ! [SY1257: set_real,SY1258: set_Fi1407883041real_c,SY1259: real] :
            ( ~ ( member1321351885real_c @ SV103
                @ ( pi_rea1111636068real_c @ SY1257
                  @ ^ [SX4: real] : SY1258 ) )
            | ~ ( member_real @ SY1259 @ SY1257 )
            | ( member1261661570real_c @ ( SV103 @ SY1259 ) @ SY1258 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1112]) ).

thf(1493,plain,
    ! [SV104: sum_sum_c_c > c] :
      ( ( ! [SY1261: set_Sum_sum_c_c,SY1262: sum_sum_c_c > set_c,SY1263: sum_sum_c_c] :
            ( ~ ( member_Sum_sum_c_c_c @ SV104 @ ( pi_Sum_sum_c_c_c @ SY1261 @ SY1262 ) )
            | ~ ( member_Sum_sum_c_c @ SY1263 @ SY1261 )
            | ( member_c @ ( SV104 @ SY1263 ) @ ( SY1262 @ SY1263 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1113]) ).

thf(1494,plain,
    ! [SV105: set_c] :
      ( ( ! [SY1264: set_c,SY1265: c] :
            ( ~ ( ord_less_eq_set_c @ SV105 @ SY1264 )
            | ~ ( member_c @ SY1265 @ SV105 )
            | ( member_c @ SY1265 @ SY1264 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1114]) ).

thf(1495,plain,
    ! [SV106: ( real > finite1398487019real_c ) > real > finite1398487019real_c] :
      ( ( ! [SY1266: set_re2066790124real_c,SY1267: set_re2066790124real_c,SY1268: real > finite1398487019real_c] :
            ( ~ ( member1851015714real_c @ SV106
                @ ( pi_rea1386151481real_c @ SY1266
                  @ ^ [SX4: real > finite1398487019real_c] : SY1267 ) )
            | ~ ( member1321351885real_c @ SY1268 @ SY1266 )
            | ( member1321351885real_c @ ( SV106 @ SY1268 ) @ SY1267 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1115]) ).

thf(1496,plain,
    ! [SV107: finite1398487019real_c] :
      ( ( ! [SY1270: finite1398487019real_c,SY1271: finite1398487019real_c,SY1272: finite1398487019real_c] :
            ( ( ( produc394644079real_c @ SV107 @ SY1270 )
              = ( produc394644079real_c @ SY1271 @ SY1272 ) )
            = ( ~ ( ( SV107 != SY1271 )
                  | ( SY1270 != SY1272 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1116]) ).

thf(1497,plain,
    ! [SV108: sum_sum_c_d > c] :
      ( ( ! [SY1273: set_Sum_sum_c_d,SY1274: c > $o] :
            ( ( collect_c
              @ ^ [SY1275: c] :
                  ~ ( ~ ( member_c @ SY1275 @ ( image_Sum_sum_c_d_c @ SV108 @ SY1273 ) )
                    | ~ ( SY1274 @ SY1275 ) ) )
            = ( image_Sum_sum_c_d_c @ SV108
              @ ( collect_Sum_sum_c_d
                @ ^ [SY1276: sum_sum_c_d] :
                    ~ ( ~ ( member_Sum_sum_c_d @ SY1276 @ SY1273 )
                      | ~ ( SY1274 @ ( SV108 @ SY1276 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1117]) ).

thf(1498,plain,
    ! [SV109: set_Sum_sum_c_d] :
      ( ( ! [SY1277: c > sum_sum_c_d,SY1278: set_c] :
            ( ( ord_le764260924um_c_d @ SV109 @ ( image_c_Sum_sum_c_d @ SY1277 @ SY1278 ) )
            = ( ~ ! [SY1279: set_c] :
                    ~ ~ ( ~ ( ord_less_eq_set_c @ SY1279 @ SY1278 )
                        | ( SV109
                         != ( image_c_Sum_sum_c_d @ SY1277 @ SY1279 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1118]) ).

thf(1499,plain,
    ! [SV110: produc190496183real_c] :
      ( ( ! [SY1280: denota231621370t_unit,SY1281: oDE_a_c,SY1282: finite1398487019real_c] :
            ~ ! [SY1283: produc190496183real_c] :
                ~ ~ ( ~ ( denota1997846518gree_c @ SY1283 @ SV110 @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ SY1280 @ SY1281 ) ) )
                    | ~ ( denota1997846518gree_c @ SY1283 @ ( denota1896987029_a_b_c @ SY1280 @ SY1281 @ SY1282 ) @ ( denota1293057250_a_b_c @ SY1280 @ SY1281 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1119]) ).

thf(1500,plain,
    ( ( ( ~ ( osafe_a_c @ oDEa ) )
      = $true )
    | ( ( ~ ( fsafe_a_b_c @ phi )
        | ( ode != oDEa )
        | ( p != phi )
        | ~ ( ord_less_eq_real @ zero_zero_real @ t )
        | ( ( produc394644079real_c @ aa @ ba )
         != ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
        | ~ ( initia1631504802real_c @ sol
            @ ^ [SX0: real] : ( denota1275485728_a_b_c @ i @ oDEa )
            @ ( set_or656347191t_real @ zero_zero_real @ t )
            @ ( collec230941376real_c
              @ ^ [SX0: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ SX0 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) )
        | ~ ( denota256060419gree_c @ ( sol @ zero_zero_real ) @ ab
            @ ( collect_c
              @ ^ [SX0: c] :
                  ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_BVO_a_c @ oDEa ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( static_FVO_a_c @ oDEa ) ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_FVF_a_b_c @ phi ) ) ) ) )
        | ( ab
          = ( finite557796307c_real
            @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1120]) ).

thf(1501,plain,
    ! [SV111: c] :
      ( ( ! [SY1284: oDE_a_c] :
            ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SV111 ) @ ( static_BVO_a_c @ SY1284 ) )
            | ( member_c @ SV111 @ ( static_FVO_a_c @ SY1284 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1121]) ).

thf(1502,plain,
    ! [SV112: produc190496183real_c] :
      ( ( ! [SY1285: produc190496183real_c,SY1286: produc190496183real_c] :
            ( ( member1895684704real_c @ SV112 @ ( set_or385782508real_c @ SY1285 @ SY1286 ) )
            = ( ~ ( ~ ( ord_le850691415real_c @ SY1285 @ SV112 )
                  | ~ ( ord_le850691415real_c @ SV112 @ SY1286 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1122]) ).

thf(1503,plain,
    ! [SV113: sum_sum_c_d] :
      ( ( ! [SY1287: c > sum_sum_c_d,SY1288: c,SY1289: set_c] :
            ( ( SV113
             != ( SY1287 @ SY1288 ) )
            | ~ ( member_c @ SY1288 @ SY1289 )
            | ( member_Sum_sum_c_d @ SV113 @ ( image_c_Sum_sum_c_d @ SY1287 @ SY1289 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1123]) ).

thf(1504,plain,
    ! [SV114: c] :
      ( ( ! [SY1290: c] :
            ( ( sum_Inl_c_c @ SV114 )
           != ( sum_Inr_c_c @ SY1290 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1124]) ).

thf(1505,plain,
    ! [SV115: sum_sum_c_d] :
      ( ( ! [SY1291: c > sum_sum_c_d,SY1292: set_c] :
            ( ( member_Sum_sum_c_d @ SV115 @ ( image_c_Sum_sum_c_d @ SY1291 @ SY1292 ) )
            = ( ~ ! [SY1293: c] :
                    ~ ~ ( ~ ( member_c @ SY1293 @ SY1292 )
                        | ( SV115
                         != ( SY1291 @ SY1293 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1125]) ).

thf(1506,plain,
    ! [SV116: set_c] :
      ( ( ! [SY1294: c > real > finite1398487019real_c,SY1295: set_re2066790124real_c] :
            ( ~ ! [SY1296: c] :
                  ( ~ ( member_c @ SY1296 @ SV116 )
                  | ( member1321351885real_c @ ( SY1294 @ SY1296 ) @ SY1295 ) )
            | ( member469531344real_c @ SY1294
              @ ( pi_c_r41638571real_c @ SV116
                @ ^ [SX3: c] : SY1295 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1126]) ).

thf(1507,plain,
    ( ( ~ ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
          | ( ( finite772340578real_c @ ( produc314122909real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) ) @ i2 )
            = ( finite772340578real_c @ ( denota1275485728_a_b_c @ i @ oDEa @ ( sol @ x ) ) @ i2 ) ) )
      | ~ ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
          | ( ( finite772340578real_c @ ( produc314122909real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) ) @ i2 )
            = ( finite772340578real_c @ ( denota1275485728_a_b_c @ i @ oDEa @ ( sol @ x ) ) @ i2 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1127]) ).

thf(1508,plain,
    ! [SV117: real] :
      ( ( ! [SY1298: real,SY1299: real] :
            ( ( member_real @ SV117 @ ( set_or656347191t_real @ SY1298 @ SY1299 ) )
            = ( ~ ( ~ ( ord_less_eq_real @ SY1298 @ SV117 )
                  | ~ ( ord_less_eq_real @ SV117 @ SY1299 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1128]) ).

thf(1509,plain,
    ! [SV118: c] :
      ( ( ! [SY1300: sum_sum_c_c > c,SY1301: set_Sum_sum_c_c] :
            ( ~ ( member_c @ SV118 @ ( image_Sum_sum_c_c_c @ SY1300 @ SY1301 ) )
            | ~ ! [SY1302: sum_sum_c_c] :
                  ( ( SV118
                   != ( SY1300 @ SY1302 ) )
                  | ~ ( member_Sum_sum_c_c @ SY1302 @ SY1301 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1129]) ).

thf(1510,plain,
    ( ( ! [SV119: finite1398487019real_c] :
          ( ( denota256060419gree_c @ SV119 )
          = ( ^ [SY1303: finite1398487019real_c,SY1304: set_c] :
              ! [SY1305: c] :
                ( ~ ( member_c @ SY1305 @ SY1304 )
                | ( ( finite772340578real_c @ SV119 @ SY1305 )
                  = ( finite772340578real_c @ SY1303 @ SY1305 ) ) ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1130]) ).

thf(1511,plain,
    ( ( denota256060419gree_c
      = ( ^ [SX0: finite1398487019real_c,SX1: finite1398487019real_c,SX2: set_c] :
          ! [SX3: c] :
            ( ~ ( member_c @ SX3 @ SX2 )
            | ( ( finite772340578real_c @ SX0 @ SX3 )
              = ( finite772340578real_c @ SX1 @ SX3 ) ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1130]) ).

thf(1512,plain,
    ! [SV120: set_Sum_sum_c_d] :
      ( ( ! [SY1306: sum_sum_c_d > sum_sum_c_c,SY1307: set_Sum_sum_c_c] :
            ( ~ ! [SY1308: sum_sum_c_d] :
                  ( ~ ( member_Sum_sum_c_d @ SY1308 @ SV120 )
                  | ( member_Sum_sum_c_c @ ( SY1306 @ SY1308 ) @ SY1307 ) )
            | ( ord_le1772180283um_c_c @ ( image_1558941394um_c_c @ SY1306 @ SV120 ) @ SY1307 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1131]) ).

thf(1513,plain,
    ! [SV121: set_Sum_sum_c_c] :
      ( ( ! [SY1309: sum_sum_c_c > $o] :
            ( ord_le1772180283um_c_c
            @ ( collect_Sum_sum_c_c
              @ ^ [SY1310: sum_sum_c_c] :
                  ~ ( ~ ( member_Sum_sum_c_c @ SY1310 @ SV121 )
                    | ~ ( SY1309 @ SY1310 ) ) )
            @ SV121 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1132]) ).

thf(1514,plain,
    ! [SV122: set_Sum_sum_c_c] :
      ( ( ! [SY1311: set_Sum_sum_c_c] :
            ( ~ ( ord_le1772180283um_c_c @ SV122 @ SY1311 )
            | ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SY1311 ) @ ( uminus1381786404um_c_c @ SV122 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1133]) ).

thf(1515,plain,
    ! [SV123: sum_sum_c_c > sum_sum_c_d] :
      ( ( ! [SY1312: set_Sum_sum_c_c,SY1313: sum_sum_c_d > $o] :
            ( ( collect_Sum_sum_c_d
              @ ^ [SY1314: sum_sum_c_d] :
                  ~ ( ~ ( member_Sum_sum_c_d @ SY1314 @ ( image_675141842um_c_d @ SV123 @ SY1312 ) )
                    | ~ ( SY1313 @ SY1314 ) ) )
            = ( image_675141842um_c_d @ SV123
              @ ( collect_Sum_sum_c_c
                @ ^ [SY1315: sum_sum_c_c] :
                    ~ ( ~ ( member_Sum_sum_c_c @ SY1315 @ SY1312 )
                      | ~ ( SY1313 @ ( SV123 @ SY1315 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1134]) ).

thf(1516,plain,
    ! [SV124: set_Sum_sum_c_c] :
      ( ( ! [SY1316: sum_sum_c_c > sum_sum_c_d,SY1317: sum_sum_c_c > set_Sum_sum_c_d] :
            ( ~ ! [SY1318: sum_sum_c_c] :
                  ( ~ ( member_Sum_sum_c_c @ SY1318 @ SV124 )
                  | ( member_Sum_sum_c_d @ ( SY1316 @ SY1318 ) @ ( SY1317 @ SY1318 ) ) )
            | ( member318754689um_c_d @ SY1316 @ ( pi_Sum261268376um_c_d @ SV124 @ SY1317 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1135]) ).

thf(1517,plain,
    ( ( ! [SV125: set_Sum_sum_c_d] :
          ( ( ord_le764260924um_c_d @ SV125 )
          = ( ^ [SY1319: set_Sum_sum_c_d] :
              ! [SY1320: sum_sum_c_d] :
                ( ~ ( member_Sum_sum_c_d @ SY1320 @ SV125 )
                | ( member_Sum_sum_c_d @ SY1320 @ SY1319 ) ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1136]) ).

thf(1518,plain,
    ( ( ord_le764260924um_c_d
      = ( ^ [SX0: set_Sum_sum_c_d,SX1: set_Sum_sum_c_d] :
          ! [SX2: sum_sum_c_d] :
            ( ~ ( member_Sum_sum_c_d @ SX2 @ SX0 )
            | ( member_Sum_sum_c_d @ SX2 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1136]) ).

thf(1519,plain,
    ! [SV126: set_Sum_sum_c_d] :
      ( ( ! [SY1321: sum_sum_c_d > c,SY1322: sum_sum_c_d > set_c] :
            ( ~ ! [SY1323: sum_sum_c_d] :
                  ( ~ ( member_Sum_sum_c_d @ SY1323 @ SV126 )
                  | ( member_c @ ( SY1321 @ SY1323 ) @ ( SY1322 @ SY1323 ) ) )
            | ( member_Sum_sum_c_d_c @ SY1321 @ ( pi_Sum_sum_c_d_c @ SV126 @ SY1322 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1137]) ).

thf(1520,plain,
    ! [SV127: set_Sum_sum_c_c] :
      ( ( ! [SY1324: set_Sum_sum_c_c] :
            ( ~ ( ord_le1772180283um_c_c @ SV127 @ SY1324 )
            | ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SY1324 ) @ ( uminus1381786404um_c_c @ SV127 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1138]) ).

thf(1521,plain,
    ! [SV128: set_c] :
      ( ( ! [SY1325: set_c,SY1326: c > sum_sum_c_c] :
            ( ~ ( ord_less_eq_set_c @ SV128 @ SY1325 )
            | ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SY1326 @ SV128 ) @ ( image_c_Sum_sum_c_c @ SY1326 @ SY1325 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1139]) ).

thf(1522,plain,
    ( ( ~ ( denota1997846518gree_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) @ ( produc394644079real_c @ ab @ bb ) @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ i @ oDEa ) ) )
      | ~ ( denota1997846518gree_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) @ ( denota1896987029_a_b_c @ i @ oDEa @ ( sol @ x ) ) @ ( denota1293057250_a_b_c @ i @ oDEa ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1140]) ).

thf(1523,plain,
    ! [SV129: c > sum_sum_c_c] :
      ( ( ! [SY1327: set_c,SY1328: sum_sum_c_c > $o] :
            ( ~ ! [SY1329: sum_sum_c_c] :
                  ( ~ ( member_Sum_sum_c_c @ SY1329 @ ( image_c_Sum_sum_c_c @ SV129 @ SY1327 ) )
                  | ( SY1328 @ SY1329 ) )
            | ! [SY1330: c] :
                ( ~ ( member_c @ SY1330 @ SY1327 )
                | ( SY1328 @ ( SV129 @ SY1330 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1141]) ).

thf(1524,plain,
    ! [SV130: set_Sum_sum_c_c] :
      ( ( ! [SY1331: sum_sum_c_c > sum_sum_c_d,SY1332: set_Sum_sum_c_d] :
            ( ~ ! [SY1333: sum_sum_c_c] :
                  ( ~ ( member_Sum_sum_c_c @ SY1333 @ SV130 )
                  | ( member_Sum_sum_c_d @ ( SY1331 @ SY1333 ) @ SY1332 ) )
            | ( ord_le764260924um_c_d @ ( image_675141842um_c_d @ SY1331 @ SV130 ) @ SY1332 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1142]) ).

thf(1525,plain,
    ! [SV131: c > sum_sum_c_c] :
      ( ( ! [SY1334: set_c,SY1335: c > set_Sum_sum_c_c,SY1336: c] :
            ( ~ ( member_c_Sum_sum_c_c @ SV131 @ ( pi_c_Sum_sum_c_c @ SY1334 @ SY1335 ) )
            | ~ ( member_c @ SY1336 @ SY1334 )
            | ( member_Sum_sum_c_c @ ( SV131 @ SY1336 ) @ ( SY1335 @ SY1336 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1143]) ).

thf(1526,plain,
    ( ( ! [SV132: set_re2066790124real_c] :
          ( ( ord_le35002188real_c @ SV132 )
          = ( ^ [SY1337: set_re2066790124real_c] :
              ! [SY1338: real > finite1398487019real_c] :
                ( ~ ( member1321351885real_c @ SY1338 @ SV132 )
                | ( member1321351885real_c @ SY1338 @ SY1337 ) ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1144]) ).

thf(1527,plain,
    ( ( ord_le35002188real_c
      = ( ^ [SX0: set_re2066790124real_c,SX1: set_re2066790124real_c] :
          ! [SX2: real > finite1398487019real_c] :
            ( ~ ( member1321351885real_c @ SX2 @ SX0 )
            | ( member1321351885real_c @ SX2 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1144]) ).

thf(1528,plain,
    ! [SV133: c > sum_sum_c_d] :
      ( ( ! [SY1339: set_c,SY1340: c > set_Sum_sum_c_d,SY1341: c] :
            ( ~ ( member_c_Sum_sum_c_d @ SV133 @ ( pi_c_Sum_sum_c_d @ SY1339 @ SY1340 ) )
            | ~ ( member_c @ SY1341 @ SY1339 )
            | ( member_Sum_sum_c_d @ ( SV133 @ SY1341 ) @ ( SY1340 @ SY1341 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1145]) ).

thf(1529,plain,
    ! [SV134: c > sum_sum_c_d] :
      ( ( ! [SY1342: set_c,SY1343: c > set_Sum_sum_c_d,SY1344: c] :
            ( ~ ( member_c_Sum_sum_c_d @ SV134 @ ( pi_c_Sum_sum_c_d @ SY1342 @ SY1343 ) )
            | ~ ~ ( member_Sum_sum_c_d @ ( SV134 @ SY1344 ) @ ( SY1343 @ SY1344 ) )
            | ~ ( member_c @ SY1344 @ SY1342 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1146]) ).

thf(1530,plain,
    ! [SV135: produc190496183real_c > $o] :
      ( ( ! [SY1345: produc190496183real_c] :
            ( ~ ! [SY1346: finite1398487019real_c,SY1347: finite1398487019real_c] : ( SV135 @ ( produc394644079real_c @ SY1346 @ SY1347 ) )
            | ( SV135 @ SY1345 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1147]) ).

thf(1531,plain,
    ! [SV136: set_c] :
      ( ( ! [SY1348: c > c,SY1349: set_c] :
            ( ~ ! [SY1350: c] :
                  ( ~ ( member_c @ SY1350 @ SV136 )
                  | ( member_c @ ( SY1348 @ SY1350 ) @ SY1349 ) )
            | ( member_c_c @ SY1348
              @ ( pi_c_c @ SV136
                @ ^ [SX3: c] : SY1349 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1148]) ).

thf(1532,plain,
    ! [SV137: finite1398487019real_c > $o] :
      ( ( ! [SY1352: finite1398487019real_c > $o] :
            ( ~ ! [SY1353: finite1398487019real_c] :
                  ( ( SV137 @ SY1353 )
                  = ( SY1352 @ SY1353 ) )
            | ( ( collec230941376real_c @ SV137 )
              = ( collec230941376real_c @ SY1352 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1149]) ).

thf(1533,plain,
    ! [SV138: produc190496183real_c > $o] :
      ( ( ! [SY1354: produc190496183real_c] :
            ( ~ ! [SY1355: finite1398487019real_c,SY1356: finite1398487019real_c] : ( SV138 @ ( produc394644079real_c @ SY1355 @ SY1356 ) )
            | ( SV138 @ SY1354 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1150]) ).

thf(1534,plain,
    ! [SV139: ( real > finite1398487019real_c ) > c] :
      ( ( ! [SY1357: set_re2066790124real_c,SY1358: set_c,SY1359: real > finite1398487019real_c] :
            ( ~ ( member527957930al_c_c @ SV139
                @ ( pi_rea1228756413al_c_c @ SY1357
                  @ ^ [SX4: real > finite1398487019real_c] : SY1358 ) )
            | ~ ( member1321351885real_c @ SY1359 @ SY1357 )
            | ( member_c @ ( SV139 @ SY1359 ) @ SY1358 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1151]) ).

thf(1535,plain,
    ! [SV140: c] :
      ( ( ! [SY1361: c > c,SY1362: set_c] :
            ( ~ ( member_c @ SV140 @ ( image_c_c @ SY1361 @ SY1362 ) )
            | ~ ! [SY1363: c] :
                  ( ( SV140
                   != ( SY1361 @ SY1363 ) )
                  | ~ ( member_c @ SY1363 @ SY1362 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1152]) ).

thf(1536,plain,
    ! [SV141: finite1398487019real_c > $o] :
      ( ( ! [SY1364: finite1398487019real_c > $o] :
            ( ( ord_le1327118209real_c @ ( collec230941376real_c @ SV141 ) @ ( collec230941376real_c @ SY1364 ) )
            = ( ! [SY1365: finite1398487019real_c] :
                  ( ~ ( SV141 @ SY1365 )
                  | ( SY1364 @ SY1365 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1153]) ).

thf(1537,plain,
    ! [SV142: sum_sum_c_d] :
      ( ( ! [SY1366: c > sum_sum_c_d,SY1367: set_c] :
            ( ~ ( member_Sum_sum_c_d @ SV142 @ ( image_c_Sum_sum_c_d @ SY1366 @ SY1367 ) )
            | ~ ! [SY1368: c] :
                  ( ( SV142
                   != ( SY1366 @ SY1368 ) )
                  | ~ ( member_c @ SY1368 @ SY1367 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1154]) ).

thf(1538,plain,
    ! [SV143: set_real] :
      ( ( ! [SY1369: real > finite1398487019real_c,SY1370: real > finite1398487019real_c,SY1371: real > set_Fi1407883041real_c] :
            ( ~ ! [SY1372: real] :
                  ( ~ ( member_real @ SY1372 @ SV143 )
                  | ( ( SY1369 @ SY1372 )
                    = ( SY1370 @ SY1372 ) ) )
            | ( ( member1321351885real_c @ SY1369 @ ( pi_rea1111636068real_c @ SV143 @ SY1371 ) )
              = ( member1321351885real_c @ SY1370 @ ( pi_rea1111636068real_c @ SV143 @ SY1371 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1155]) ).

thf(1539,plain,
    ! [SV144: set_Sum_sum_c_d] :
      ( ( ! [SY1373: sum_sum_c_d > c,SY1374: set_c] :
            ( ~ ! [SY1375: sum_sum_c_d] :
                  ( ~ ( member_Sum_sum_c_d @ SY1375 @ SV144 )
                  | ( member_c @ ( SY1373 @ SY1375 ) @ SY1374 ) )
            | ( ord_less_eq_set_c @ ( image_Sum_sum_c_d_c @ SY1373 @ SV144 ) @ SY1374 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1156]) ).

thf(1540,plain,
    ! [SV145: sum_sum_c_c > sum_sum_c_d] :
      ( ( ! [SY1376: set_Sum_sum_c_c,SY1377: sum_sum_c_c > set_Sum_sum_c_d,SY1378: sum_sum_c_c] :
            ( ~ ( member318754689um_c_d @ SV145 @ ( pi_Sum261268376um_c_d @ SY1376 @ SY1377 ) )
            | ~ ~ ( member_Sum_sum_c_d @ ( SV145 @ SY1378 ) @ ( SY1377 @ SY1378 ) )
            | ~ ( member_Sum_sum_c_c @ SY1378 @ SY1376 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1157]) ).

thf(1541,plain,
    ! [SV146: real > finite1398487019real_c] :
      ( ( ! [SY1379: set_real,SY1380: real > set_Fi1407883041real_c,SY1381: real] :
            ( ~ ( member1321351885real_c @ SV146 @ ( pi_rea1111636068real_c @ SY1379 @ SY1380 ) )
            | ~ ~ ( member1261661570real_c @ ( SV146 @ SY1381 ) @ ( SY1380 @ SY1381 ) )
            | ~ ( member_real @ SY1381 @ SY1379 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1158]) ).

thf(1542,plain,
    ! [SV147: ( real > finite1398487019real_c ) > sum_sum_c_c] :
      ( ( ! [SY1382: set_re2066790124real_c,SY1383: set_Sum_sum_c_c,SY1384: real > finite1398487019real_c] :
            ( ~ ( member354622481um_c_c @ SV147
                @ ( pi_rea1500330408um_c_c @ SY1382
                  @ ^ [SX4: real > finite1398487019real_c] : SY1383 ) )
            | ~ ( member1321351885real_c @ SY1384 @ SY1382 )
            | ( member_Sum_sum_c_c @ ( SV147 @ SY1384 ) @ SY1383 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1159]) ).

thf(1543,plain,
    ! [SV148: produc190496183real_c] :
      ( ( ~ ! [SY1386: finite1398487019real_c] :
              ~ ~ ! [SY1387: finite1398487019real_c] :
                    ( SV148
                   != ( produc394644079real_c @ SY1386 @ SY1387 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1160]) ).

thf(1544,plain,
    ! [SV149: sum_sum_c_d] :
      ( ( ! [SY1388: set_Sum_sum_c_d,SY1389: sum_sum_c_c,SY1390: sum_sum_c_d > sum_sum_c_c] :
            ( ~ ( member_Sum_sum_c_d @ SV149 @ SY1388 )
            | ( SY1389
             != ( SY1390 @ SV149 ) )
            | ( member_Sum_sum_c_c @ SY1389 @ ( image_1558941394um_c_c @ SY1390 @ SY1388 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1161]) ).

thf(1545,plain,
    ! [SV150: c > sum_sum_c_d] :
      ( ( ! [SY1391: set_c,SY1392: set_Sum_sum_c_d] :
            ( ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV150 @ SY1391 ) @ SY1392 )
            = ( ! [SY1393: c] :
                  ( ~ ( member_c @ SY1393 @ SY1391 )
                  | ( member_Sum_sum_c_d @ ( SV150 @ SY1393 ) @ SY1392 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1162]) ).

thf(1546,plain,
    ! [SV151: sum_sum_c_c] :
      ( ( ! [SY1394: c > sum_sum_c_c,SY1395: c,SY1396: set_c] :
            ( ( SV151
             != ( SY1394 @ SY1395 ) )
            | ~ ( member_c @ SY1395 @ SY1396 )
            | ( member_Sum_sum_c_c @ SV151 @ ( image_c_Sum_sum_c_c @ SY1394 @ SY1396 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1163]) ).

thf(1547,plain,
    ! [SV152: produc190496183real_c] :
      ( ( ! [SY1397: denota231621370t_unit,SY1398: formula_a_b_c,SY1399: formula_a_b_c] :
            ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SY1397 @ SY1398 ) )
              = ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SY1397 @ SY1399 ) ) )
            = ( ~ ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SY1397 @ SY1398 ) )
                      | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SY1397 @ SY1399 ) ) )
                  | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SY1397 @ SY1399 ) )
                      | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SY1397 @ SY1398 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1164]) ).

thf(1548,plain,
    ! [SV153: produc190496183real_c] :
      ( ( ! [SY1400: set_Pr1389752855real_c] :
            ( ~ ~ ( member1895684704real_c @ SV153 @ SY1400 )
            | ( member1895684704real_c @ SV153 @ ( uminus232257166real_c @ SY1400 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1165]) ).

thf(1549,plain,
    ( ( ~ ( denota1997846518gree_c
          @ ( denota161327353_a_b_c @ i @ oDEa
            @ ( produc394644079real_c
              @ ( finite557796307c_real
                @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
              @ bb )
            @ ( finite557796307c_real
              @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) )
          @ ( produc394644079real_c
            @ ( finite557796307c_real
              @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
            @ bb )
          @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ i @ oDEa ) ) )
      | ~ ( denota1997846518gree_c
          @ ( denota161327353_a_b_c @ i @ oDEa
            @ ( produc394644079real_c
              @ ( finite557796307c_real
                @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
              @ bb )
            @ ( finite557796307c_real
              @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) )
          @ ( denota1896987029_a_b_c @ i @ oDEa
            @ ( finite557796307c_real
              @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) )
          @ ( denota1293057250_a_b_c @ i @ oDEa ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1166]) ).

thf(1550,plain,
    ! [SV154: set_Sum_sum_c_d] :
      ( ( ! [SY1401: sum_sum_c_d > $o] :
            ( ord_le764260924um_c_d
            @ ( collect_Sum_sum_c_d
              @ ^ [SY1402: sum_sum_c_d] :
                  ~ ( ~ ( member_Sum_sum_c_d @ SY1402 @ SV154 )
                    | ~ ( SY1401 @ SY1402 ) ) )
            @ SV154 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1167]) ).

thf(1551,plain,
    ! [SV155: sum_sum_c_d > sum_sum_c_c] :
      ( ( ! [SY1403: set_Sum_sum_c_d,SY1404: sum_sum_c_d > set_Sum_sum_c_c,SY1405: sum_sum_c_d] :
            ( ~ ( member71251457um_c_c @ SV155 @ ( pi_Sum1145067928um_c_c @ SY1403 @ SY1404 ) )
            | ~ ~ ( member_Sum_sum_c_c @ ( SV155 @ SY1405 ) @ ( SY1404 @ SY1405 ) )
            | ~ ( member_Sum_sum_c_d @ SY1405 @ SY1403 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1168]) ).

thf(1552,plain,
    ! [SV156: d] :
      ( ( ! [SY1406: c] :
            ( ( sum_Inr_d_c @ SV156 )
           != ( sum_Inl_c_d @ SY1406 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1169]) ).

thf(1553,plain,
    ! [SV157: set_c] :
      ( ( ! [SY1407: c > c,SY1408: set_c] :
            ( ~ ! [SY1409: c] :
                  ( ~ ( member_c @ SY1409 @ SV157 )
                  | ( member_c @ ( SY1407 @ SY1409 ) @ SY1408 ) )
            | ( ord_less_eq_set_c @ ( image_c_c @ SY1407 @ SV157 ) @ SY1408 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1170]) ).

thf(1554,plain,
    ! [SV158: produc190496183real_c] :
      ( ( ! [SY1410: produc190496183real_c] :
            ( ~ ~ ( ( ( produc2010422875real_c @ SV158 )
                   != ( produc2010422875real_c @ SY1410 ) )
                  | ( ( produc314122909real_c @ SV158 )
                   != ( produc314122909real_c @ SY1410 ) ) )
            | ( SV158 = SY1410 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1171]) ).

thf(1555,plain,
    ! [SV159: set_c] :
      ( ( ! [SY1411: c > sum_sum_c_d,SY1412: set_Sum_sum_c_d] :
            ( ~ ! [SY1413: c] :
                  ( ~ ( member_c @ SY1413 @ SV159 )
                  | ( member_Sum_sum_c_d @ ( SY1411 @ SY1413 ) @ SY1412 ) )
            | ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SY1411 @ SV159 ) @ SY1412 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1172]) ).

thf(1556,plain,
    ! [SV160: sum_sum_c_d > sum_sum_c_c] :
      ( ( ! [SY1414: set_Sum_sum_c_d,SY1415: sum_sum_c_c > $o] :
            ( ( collect_Sum_sum_c_c
              @ ^ [SY1416: sum_sum_c_c] :
                  ~ ( ~ ( member_Sum_sum_c_c @ SY1416 @ ( image_1558941394um_c_c @ SV160 @ SY1414 ) )
                    | ~ ( SY1415 @ SY1416 ) ) )
            = ( image_1558941394um_c_c @ SV160
              @ ( collect_Sum_sum_c_d
                @ ^ [SY1417: sum_sum_c_d] :
                    ~ ( ~ ( member_Sum_sum_c_d @ SY1417 @ SY1414 )
                      | ~ ( SY1415 @ ( SV160 @ SY1417 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1173]) ).

thf(1557,plain,
    ! [SV161: c > sum_sum_c_c] :
      ( ( ! [SY1418: set_c,SY1419: set_Sum_sum_c_c] :
            ( ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV161 @ SY1418 ) @ SY1419 )
            = ( ! [SY1420: c] :
                  ( ~ ( member_c @ SY1420 @ SY1418 )
                  | ( member_Sum_sum_c_c @ ( SV161 @ SY1420 ) @ SY1419 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1174]) ).

thf(1558,plain,
    ! [SV162: set_re2066790124real_c] :
      ( ( ! [SY1421: set_re2066790124real_c,SY1422: real > finite1398487019real_c] :
            ( ~ ( ord_le35002188real_c @ SV162 @ SY1421 )
            | ~ ( member1321351885real_c @ SY1422 @ SV162 )
            | ( member1321351885real_c @ SY1422 @ SY1421 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1175]) ).

thf(1559,plain,
    ! [SV163: real] :
      ( ( ! [SY1423: real,SY1424: real,SY1425: real] :
            ( ( ( set_or656347191t_real @ SV163 @ SY1423 )
              = ( set_or656347191t_real @ SY1424 @ SY1425 ) )
            = ( ~ ( ( SV163 != SY1424 )
                  | ( SY1423 != SY1425 ) )
              | ~ ( ~ ~ ( ord_less_eq_real @ SV163 @ SY1423 )
                  | ~ ~ ( ord_less_eq_real @ SY1424 @ SY1425 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1176]) ).

thf(1560,plain,
    ! [SV164: real > finite1398487019real_c] :
      ( ( ! [SY1426: set_re2066790124real_c] :
            ( ~ ( member1321351885real_c @ SV164 @ ( uminus946614837real_c @ SY1426 ) )
            | ~ ( member1321351885real_c @ SV164 @ SY1426 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1177]) ).

thf(1561,plain,
    ! [SV165: denota231621370t_unit] :
      ( ( ! [SY1427: oDE_a_c,SY1428: produc190496183real_c,SY1429: finite1398487019real_c,SY1430: produc190496183real_c] :
            ( ( ( denota310462944_a_b_c @ SV165 @ SY1427 @ SY1428 @ SY1429 )
             != SY1430 )
            | ( SY1430
              = ( produc394644079real_c
                @ ( finite557796307c_real
                  @ ^ [SY1431: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY1431 ) @ ( denota1293057250_a_b_c @ SV165 @ SY1427 ) ) @ SY1429 @ ( produc2010422875real_c @ SY1428 ) ) @ SY1431 ) )
                @ ( finite557796307c_real
                  @ ^ [SY1432: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY1432 ) @ ( denota1293057250_a_b_c @ SV165 @ SY1427 ) ) @ ( denota1275485728_a_b_c @ SV165 @ SY1427 @ SY1429 ) @ ( produc314122909real_c @ SY1428 ) ) @ SY1432 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1178]) ).

thf(1562,plain,
    ! [SV166: set_Pr1389752855real_c] :
      ( ( ! [SY1433: set_Pr1389752855real_c,SY1434: produc190496183real_c] :
            ( ~ ( ord_le977353143real_c @ SV166 @ SY1433 )
            | ~ ( member1895684704real_c @ SY1434 @ SV166 )
            | ( member1895684704real_c @ SY1434 @ SY1433 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1179]) ).

thf(1563,plain,
    ! [SV167: produc190496183real_c] :
      ( ( ! [SY1435: produc190496183real_c] :
            ( ( ( produc2010422875real_c @ SV167 )
             != ( produc2010422875real_c @ SY1435 ) )
            | ( ( produc314122909real_c @ SV167 )
             != ( produc314122909real_c @ SY1435 ) )
            | ( SV167 = SY1435 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1180]) ).

thf(1564,plain,
    ! [SV168: c > finite1398487019real_c] :
      ( ( ! [SY1436: set_c,SY1437: finite1398487019real_c > $o] :
            ( ( collec230941376real_c
              @ ^ [SY1438: finite1398487019real_c] :
                  ~ ( ~ ( member1261661570real_c @ SY1438 @ ( image_687300774real_c @ SV168 @ SY1436 ) )
                    | ~ ( SY1437 @ SY1438 ) ) )
            = ( image_687300774real_c @ SV168
              @ ( collect_c
                @ ^ [SY1439: c] :
                    ~ ( ~ ( member_c @ SY1439 @ SY1436 )
                      | ~ ( SY1437 @ ( SV168 @ SY1439 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1181]) ).

thf(1565,plain,
    ! [SV169: produc190496183real_c] :
      ( ( ! [SY1440: produc190496183real_c,SY1441: set_Sum_sum_c_c] :
            ( ~ ( denota1997846518gree_c @ SV169 @ SY1440 @ SY1441 )
            | ( denota1997846518gree_c @ SY1440 @ SV169 @ SY1441 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1182]) ).

thf(1566,plain,
    ! [SV170: set_Sum_sum_c_d] :
      ( ( ! [SY1442: sum_sum_c_d > sum_sum_c_d,SY1443: set_Sum_sum_c_d] :
            ( ~ ! [SY1444: sum_sum_c_d] :
                  ( ~ ( member_Sum_sum_c_d @ SY1444 @ SV170 )
                  | ( member_Sum_sum_c_d @ ( SY1442 @ SY1444 ) @ SY1443 ) )
            | ( ord_le764260924um_c_d @ ( image_1567202899um_c_d @ SY1442 @ SV170 ) @ SY1443 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1183]) ).

thf(1567,plain,
    ! [SV171: sum_sum_c_d > c] :
      ( ( ! [SY1445: set_Sum_sum_c_d,SY1446: sum_sum_c_d > set_c,SY1447: sum_sum_c_d] :
            ( ~ ( member_Sum_sum_c_d_c @ SV171 @ ( pi_Sum_sum_c_d_c @ SY1445 @ SY1446 ) )
            | ~ ( member_Sum_sum_c_d @ SY1447 @ SY1445 )
            | ( member_c @ ( SV171 @ SY1447 ) @ ( SY1446 @ SY1447 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1184]) ).

thf(1568,plain,
    ! [SV172: set_c] :
      ( ( ! [SY1448: set_c,SY1449: c] :
            ( ~ ( ord_less_eq_set_c @ SV172 @ SY1448 )
            | ~ ( member_c @ SY1449 @ SV172 )
            | ( member_c @ SY1449 @ SY1448 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1185]) ).

thf(1569,plain,
    ! [SV173: real] :
      ( ( ~ ( ord_less_eq_real @ zero_zero_real @ SV173 )
        | ~ ( ord_less_eq_real @ SV173 @ t )
        | ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ SV173 ) ) @ ( denota968303861_a_b_c @ i @ phi ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1186]) ).

thf(1570,plain,
    ! [SV174: sum_sum_c_c] :
      ( ( ! [SY1450: set_Sum_sum_c_c,SY1451: sum_sum_c_c > sum_sum_c_d] :
            ( ~ ( member_Sum_sum_c_c @ SV174 @ SY1450 )
            | ( member_Sum_sum_c_d @ ( SY1451 @ SV174 ) @ ( image_675141842um_c_d @ SY1451 @ SY1450 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1187]) ).

thf(1571,plain,
    ! [SV175: set_Sum_sum_c_c] :
      ( ( ! [SY1452: sum_sum_c_c > sum_sum_c_c,SY1453: set_Sum_sum_c_c] :
            ( ~ ! [SY1454: sum_sum_c_c] :
                  ( ~ ( member_Sum_sum_c_c @ SY1454 @ SV175 )
                  | ( member_Sum_sum_c_c @ ( SY1452 @ SY1454 ) @ SY1453 ) )
            | ( member1326674048um_c_c @ SY1452
              @ ( pi_Sum253006871um_c_c @ SV175
                @ ^ [SX3: sum_sum_c_c] : SY1453 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1188]) ).

thf(1572,plain,
    ! [SV176: sum_sum_c_d] :
      ( ( ! [SY1456: set_Sum_sum_c_d] :
            ( ~ ( member_Sum_sum_c_d @ SV176 @ ( uminus373867045um_c_d @ SY1456 ) )
            | ~ ( member_Sum_sum_c_d @ SV176 @ SY1456 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1189]) ).

thf(1573,plain,
    ! [SV177: set_real] :
      ( ( ! [SY1457: real > finite1398487019real_c,SY1458: real > set_Fi1407883041real_c] :
            ( ~ ! [SY1459: real] :
                  ( ~ ( member_real @ SY1459 @ SV177 )
                  | ( member1261661570real_c @ ( SY1457 @ SY1459 ) @ ( SY1458 @ SY1459 ) ) )
            | ( member1321351885real_c @ SY1457 @ ( pi_rea1111636068real_c @ SV177 @ SY1458 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1190]) ).

thf(1574,plain,
    ( ( ! [SV178: produc190496183real_c] :
          ( ( denota1997846518gree_c @ SV178 )
          = ( ^ [SY1460: produc190496183real_c,SY1461: set_Sum_sum_c_c] :
                ~ ( ~ ! [SY1462: c] :
                        ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY1462 ) @ SY1461 )
                        | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV178 ) @ SY1462 )
                          = ( finite772340578real_c @ ( produc2010422875real_c @ SY1460 ) @ SY1462 ) ) )
                  | ~ ! [SY1463: c] :
                        ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY1463 ) @ SY1461 )
                        | ( ( finite772340578real_c @ ( produc314122909real_c @ SV178 ) @ SY1463 )
                          = ( finite772340578real_c @ ( produc314122909real_c @ SY1460 ) @ SY1463 ) ) ) ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1191]) ).

thf(1575,plain,
    ( ( denota1997846518gree_c
      = ( ^ [SX0: produc190496183real_c,SX1: produc190496183real_c,SX2: set_Sum_sum_c_c] :
            ~ ( ~ ! [SX3: c] :
                    ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX3 ) @ SX2 )
                    | ( ( finite772340578real_c @ ( produc2010422875real_c @ SX0 ) @ SX3 )
                      = ( finite772340578real_c @ ( produc2010422875real_c @ SX1 ) @ SX3 ) ) )
              | ~ ! [SX3: c] :
                    ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SX3 ) @ SX2 )
                    | ( ( finite772340578real_c @ ( produc314122909real_c @ SX0 ) @ SX3 )
                      = ( finite772340578real_c @ ( produc314122909real_c @ SX1 ) @ SX3 ) ) ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1191]) ).

thf(1576,plain,
    ! [SV179: sum_sum_c_c] :
      ( ( ! [SY1464: set_Sum_sum_c_c] :
            ( ~ ( member_Sum_sum_c_c @ SV179 @ ( uminus1381786404um_c_c @ SY1464 ) )
            | ~ ( member_Sum_sum_c_c @ SV179 @ SY1464 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1192]) ).

thf(1577,plain,
    ( ( ~ ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
          | ~ ( ~ ( ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
                  | ( ( finite772340578real_c
                      @ ( produc2010422875real_c
                        @ ( denota161327353_a_b_c @ i @ oDEa
                          @ ( produc394644079real_c
                            @ ( finite557796307c_real
                              @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                            @ bb )
                          @ ( finite557796307c_real
                            @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
                      @ i2 )
                    = ( finite772340578real_c @ ( sol @ x ) @ i2 ) ) )
              | ~ ( ~ ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
                  | ( ( finite772340578real_c
                      @ ( produc2010422875real_c
                        @ ( denota161327353_a_b_c @ i @ oDEa
                          @ ( produc394644079real_c
                            @ ( finite557796307c_real
                              @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                            @ bb )
                          @ ( finite557796307c_real
                            @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
                      @ i2 )
                    = ( finite772340578real_c @ ab @ i2 ) ) ) ) )
      | ~ ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
          | ~ ( ~ ( ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
                  | ( ( finite772340578real_c
                      @ ( produc2010422875real_c
                        @ ( denota161327353_a_b_c @ i @ oDEa
                          @ ( produc394644079real_c
                            @ ( finite557796307c_real
                              @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                            @ bb )
                          @ ( finite557796307c_real
                            @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
                      @ i2 )
                    = ( finite772340578real_c @ ( sol @ x ) @ i2 ) ) )
              | ~ ( ~ ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
                  | ( ( finite772340578real_c
                      @ ( produc2010422875real_c
                        @ ( denota161327353_a_b_c @ i @ oDEa
                          @ ( produc394644079real_c
                            @ ( finite557796307c_real
                              @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                            @ bb )
                          @ ( finite557796307c_real
                            @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
                      @ i2 )
                    = ( finite772340578real_c @ ab @ i2 ) ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1193]) ).

thf(1578,plain,
    ! [SV180: set_c] :
      ( ( ! [SY1465: c > c,SY1466: c > set_c] :
            ( ~ ! [SY1467: c] :
                  ( ~ ( member_c @ SY1467 @ SV180 )
                  | ( member_c @ ( SY1465 @ SY1467 ) @ ( SY1466 @ SY1467 ) ) )
            | ( member_c_c @ SY1465 @ ( pi_c_c @ SV180 @ SY1466 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1194]) ).

thf(1579,plain,
    ! [SV181: set_Sum_sum_c_c] :
      ( ( ! [SY1468: c > sum_sum_c_c,SY1469: set_c] :
            ( ~ ( ord_le1772180283um_c_c @ SV181 @ ( image_c_Sum_sum_c_c @ SY1468 @ SY1469 ) )
            | ~ ! [SY1470: set_c] :
                  ( ~ ( ord_less_eq_set_c @ SY1470 @ SY1469 )
                  | ( SV181
                   != ( image_c_Sum_sum_c_c @ SY1468 @ SY1470 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1195]) ).

thf(1580,plain,
    ! [SV182: set_Sum_sum_c_d] :
      ( ( ! [SY1471: sum_sum_c_d > sum_sum_c_c,SY1472: set_Sum_sum_c_c] :
            ( ~ ! [SY1473: sum_sum_c_d] :
                  ( ~ ( member_Sum_sum_c_d @ SY1473 @ SV182 )
                  | ( member_Sum_sum_c_c @ ( SY1471 @ SY1473 ) @ SY1472 ) )
            | ( member71251457um_c_c @ SY1471
              @ ( pi_Sum1145067928um_c_c @ SV182
                @ ^ [SX3: sum_sum_c_d] : SY1472 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1196]) ).

thf(1581,plain,
    ! [SV183: set_re2066790124real_c] :
      ( ( ! [SY1475: set_re2066790124real_c,SY1476: real > finite1398487019real_c] :
            ( ~ ( ord_le35002188real_c @ SV183 @ SY1475 )
            | ~ ( member1321351885real_c @ SY1476 @ SV183 )
            | ( member1321351885real_c @ SY1476 @ SY1475 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1197]) ).

thf(1582,plain,
    ! [SV184: finite1398487019real_c] :
      ( ( ! [SY1477: finite1398487019real_c,SY1478: finite1398487019real_c,SY1479: finite1398487019real_c] :
            ( ( ( produc394644079real_c @ SV184 @ SY1477 )
              = ( produc394644079real_c @ SY1478 @ SY1479 ) )
            = ( ~ ( ( SV184 != SY1478 )
                  | ( SY1477 != SY1479 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1198]) ).

thf(1583,plain,
    ! [SV185: finite1398487019real_c] :
      ( ( ! [SY1480: finite1398487019real_c,SY1481: finite1398487019real_c] :
            ( ( ( produc314122909real_c @ ( produc394644079real_c @ SV185 @ SY1480 ) )
             != SY1481 )
            | ( SY1480 = SY1481 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1199]) ).

thf(1584,plain,
    ! [SV186: set_Sum_sum_c_c] :
      ( ( ! [SY1482: sum_sum_c_c > sum_sum_c_d,SY1483: sum_sum_c_c > set_Sum_sum_c_d] :
            ( ~ ! [SY1484: sum_sum_c_c] :
                  ( ~ ( member_Sum_sum_c_c @ SY1484 @ SV186 )
                  | ( member_Sum_sum_c_d @ ( SY1482 @ SY1484 ) @ ( SY1483 @ SY1484 ) ) )
            | ( member318754689um_c_d @ SY1482 @ ( pi_Sum261268376um_c_d @ SV186 @ SY1483 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1200]) ).

thf(1585,plain,
    ! [SV187: real] :
      ( ( ! [SY1485: real] :
            ( ~ ( ord_less_eq_real @ SV187 @ SY1485 )
            | ( ord_less_eq_real @ ( uminus_uminus_real @ SY1485 ) @ ( uminus_uminus_real @ SV187 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1201]) ).

thf(1586,plain,
    ! [SV188: denota231621370t_unit] :
      ( ( ! [SY1486: oDE_a_c,SY1487: produc190496183real_c,SY1488: finite1398487019real_c] :
            ~ ( ~ ( denota1997846518gree_c @ ( denota161327353_a_b_c @ SV188 @ SY1486 @ SY1487 @ SY1488 ) @ SY1487 @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ SV188 @ SY1486 ) ) )
              | ~ ( denota1997846518gree_c @ ( denota161327353_a_b_c @ SV188 @ SY1486 @ SY1487 @ SY1488 ) @ ( denota1896987029_a_b_c @ SV188 @ SY1486 @ SY1488 ) @ ( denota1293057250_a_b_c @ SV188 @ SY1486 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1202]) ).

thf(1587,plain,
    ! [SV189: c] :
      ( ( ! [SY1489: denota231621370t_unit,SY1490: oDE_a_c] :
            ( ~ ( member_c @ SV189 @ ( denota540094197_a_b_c @ SY1489 @ SY1490 ) )
            | ( member_c @ SV189 @ ( static_FVO_a_c @ SY1490 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1203]) ).

thf(1588,plain,
    ! [SV190: real > finite1398487019real_c] :
      ( ( ! [SY1491: set_re2066790124real_c] :
            ( ~ ~ ( member1321351885real_c @ SV190 @ SY1491 )
            | ( member1321351885real_c @ SV190 @ ( uminus946614837real_c @ SY1491 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1204]) ).

thf(1589,plain,
    ( ( ! [SV191: set_Sum_sum_c_c] :
          ( ( ord_le1772180283um_c_c @ SV191 )
          = ( ^ [SY1492: set_Sum_sum_c_c] :
              ! [SY1493: sum_sum_c_c] :
                ( ~ ( member_Sum_sum_c_c @ SY1493 @ SV191 )
                | ( member_Sum_sum_c_c @ SY1493 @ SY1492 ) ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1205]) ).

thf(1590,plain,
    ( ( ord_le1772180283um_c_c
      = ( ^ [SX0: set_Sum_sum_c_c,SX1: set_Sum_sum_c_c] :
          ! [SX2: sum_sum_c_c] :
            ( ~ ( member_Sum_sum_c_c @ SX2 @ SX0 )
            | ( member_Sum_sum_c_c @ SX2 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1205]) ).

thf(1591,plain,
    ! [SV192: c] :
      ( ( ! [SY1494: d] :
            ( ( sum_Inl_c_d @ SV192 )
           != ( sum_Inr_d_c @ SY1494 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1206]) ).

thf(1592,plain,
    ! [SV193: sum_sum_c_c] :
      ( ( ! [SY1495: set_Sum_sum_c_c,SY1496: c,SY1497: sum_sum_c_c > c] :
            ( ~ ( member_Sum_sum_c_c @ SV193 @ SY1495 )
            | ( SY1496
             != ( SY1497 @ SV193 ) )
            | ( member_c @ SY1496 @ ( image_Sum_sum_c_c_c @ SY1497 @ SY1495 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1207]) ).

thf(1593,plain,
    ! [SV194: set_Sum_sum_c_c] :
      ( ( ! [SY1498: sum_sum_c_c > c,SY1499: set_c] :
            ( ~ ! [SY1500: sum_sum_c_c] :
                  ( ~ ( member_Sum_sum_c_c @ SY1500 @ SV194 )
                  | ( member_c @ ( SY1498 @ SY1500 ) @ SY1499 ) )
            | ( ord_less_eq_set_c @ ( image_Sum_sum_c_c_c @ SY1498 @ SV194 ) @ SY1499 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1208]) ).

thf(1594,plain,
    ! [SV195: finite1398487019real_c] :
      ( ( ! [SY1501: finite1398487019real_c,SY1502: finite1398487019real_c,SY1503: finite1398487019real_c] :
            ( ~ ( ord_le775706699real_c @ SV195 @ SY1501 )
            | ~ ( ord_le775706699real_c @ SY1502 @ SY1503 )
            | ( ord_le850691415real_c @ ( produc394644079real_c @ SV195 @ SY1502 ) @ ( produc394644079real_c @ SY1501 @ SY1503 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1209]) ).

thf(1595,plain,
    ! [SV196: sum_sum_c_c] :
      ( ( ! [SY1504: sum_sum_c_d > sum_sum_c_c,SY1505: set_Sum_sum_c_d] :
            ( ~ ( member_Sum_sum_c_c @ SV196 @ ( image_1558941394um_c_c @ SY1504 @ SY1505 ) )
            | ~ ! [SY1506: sum_sum_c_d] :
                  ( ( SV196
                   != ( SY1504 @ SY1506 ) )
                  | ~ ( member_Sum_sum_c_d @ SY1506 @ SY1505 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1210]) ).

thf(1596,plain,
    ! [SV197: set_c] :
      ( ( ! [SY1507: c > real > finite1398487019real_c,SY1508: c > set_re2066790124real_c] :
            ( ~ ! [SY1509: c] :
                  ( ~ ( member_c @ SY1509 @ SV197 )
                  | ( member1321351885real_c @ ( SY1507 @ SY1509 ) @ ( SY1508 @ SY1509 ) ) )
            | ( member469531344real_c @ SY1507 @ ( pi_c_r41638571real_c @ SV197 @ SY1508 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1211]) ).

thf(1597,plain,
    ( ( ! [SV198: set_Sum_sum_c_c] :
          ( ( ord_le1772180283um_c_c @ SV198 )
          = ( ^ [SY1510: set_Sum_sum_c_c] :
              ! [SY1511: sum_sum_c_c] :
                ( ~ ( member_Sum_sum_c_c @ SY1511 @ SV198 )
                | ( member_Sum_sum_c_c @ SY1511 @ SY1510 ) ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1212]) ).

thf(1598,plain,
    ( ( ord_le1772180283um_c_c
      = ( ^ [SX0: set_Sum_sum_c_c,SX1: set_Sum_sum_c_c] :
          ! [SX2: sum_sum_c_c] :
            ( ~ ( member_Sum_sum_c_c @ SX2 @ SX0 )
            | ( member_Sum_sum_c_c @ SX2 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1212]) ).

thf(1599,plain,
    ! [SV199: set_c] :
      ( ( ! [SY1512: set_c] :
            ( ~ ! [SY1513: c] :
                  ( ~ ( member_c @ SY1513 @ SV199 )
                  | ( member_c @ SY1513 @ SY1512 ) )
            | ( ord_less_eq_set_c @ SV199 @ SY1512 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1213]) ).

thf(1600,plain,
    ! [SV200: sum_sum_c_d > c] :
      ( ( ! [SY1514: set_Sum_sum_c_d,SY1515: sum_sum_c_d > set_c,SY1516: sum_sum_c_d] :
            ( ~ ( member_Sum_sum_c_d_c @ SV200 @ ( pi_Sum_sum_c_d_c @ SY1514 @ SY1515 ) )
            | ~ ~ ( member_c @ ( SV200 @ SY1516 ) @ ( SY1515 @ SY1516 ) )
            | ~ ( member_Sum_sum_c_d @ SY1516 @ SY1514 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1214]) ).

thf(1601,plain,
    ! [SV201: set_Sum_sum_c_c] :
      ( ( ! [SY1517: set_Sum_sum_c_c] :
            ( ~ ( ord_le1772180283um_c_c @ SV201 @ ( uminus1381786404um_c_c @ SY1517 ) )
            | ( ord_le1772180283um_c_c @ SY1517 @ ( uminus1381786404um_c_c @ SV201 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1215]) ).

thf(1602,plain,
    ! [SV202: produc190496183real_c] :
      ( ( ! [SY1518: set_Pr1389752855real_c] :
            ( ~ ( member1895684704real_c @ SV202 @ ( uminus232257166real_c @ SY1518 ) )
            | ~ ( member1895684704real_c @ SV202 @ SY1518 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1216]) ).

thf(1603,plain,
    ! [SV203: real > finite1398487019real_c] :
      ( ( ! [SY1519: set_real,SY1520: real > set_Fi1407883041real_c,SY1521: real] :
            ( ~ ( member1321351885real_c @ SV203 @ ( pi_rea1111636068real_c @ SY1519 @ SY1520 ) )
            | ~ ( member_real @ SY1521 @ SY1519 )
            | ( member1261661570real_c @ ( SV203 @ SY1521 ) @ ( SY1520 @ SY1521 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1217]) ).

thf(1604,plain,
    ! [SV204: set_Sum_sum_c_c] :
      ( ( ! [SY1522: set_Sum_sum_c_c,SY1523: produc190496183real_c,SY1524: produc190496183real_c] :
            ( ~ ( ord_le1772180283um_c_c @ SV204 @ SY1522 )
            | ~ ( denota1997846518gree_c @ SY1523 @ SY1524 @ SY1522 )
            | ( denota1997846518gree_c @ SY1523 @ SY1524 @ SV204 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1218]) ).

thf(1605,plain,
    ! [SV205: c > real > finite1398487019real_c] :
      ( ( ! [SY1525: set_c,SY1526: c > set_re2066790124real_c,SY1527: c] :
            ( ~ ( member469531344real_c @ SV205 @ ( pi_c_r41638571real_c @ SY1525 @ SY1526 ) )
            | ~ ( member_c @ SY1527 @ SY1525 )
            | ( member1321351885real_c @ ( SV205 @ SY1527 ) @ ( SY1526 @ SY1527 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1219]) ).

thf(1606,plain,
    ! [SV206: c] :
      ( ( ! [SY1528: set_c,SY1529: sum_sum_c_c,SY1530: c > sum_sum_c_c] :
            ( ~ ( member_c @ SV206 @ SY1528 )
            | ( SY1529
             != ( SY1530 @ SV206 ) )
            | ( member_Sum_sum_c_c @ SY1529 @ ( image_c_Sum_sum_c_c @ SY1530 @ SY1528 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1220]) ).

thf(1607,plain,
    ! [SV207: finite1398487019real_c > $o] :
      ( ( ! [SY1531: finite1398487019real_c > $o] :
            ( ~ ! [SY1532: finite1398487019real_c] :
                  ( ~ ( SV207 @ SY1532 )
                  | ( SY1531 @ SY1532 ) )
            | ( ord_le1327118209real_c @ ( collec230941376real_c @ SV207 ) @ ( collec230941376real_c @ SY1531 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1221]) ).

thf(1608,plain,
    ! [SV208: sum_sum_c_d] :
      ( ( ! [SY1533: sum_sum_c_d > sum_sum_c_d,SY1534: sum_sum_c_d,SY1535: set_Sum_sum_c_d] :
            ( ( SV208
             != ( SY1533 @ SY1534 ) )
            | ~ ( member_Sum_sum_c_d @ SY1534 @ SY1535 )
            | ( member_Sum_sum_c_d @ SV208 @ ( image_1567202899um_c_d @ SY1533 @ SY1535 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1222]) ).

thf(1609,plain,
    ! [SV209: set_Sum_sum_c_c] :
      ( ( ! [SY1536: sum_sum_c_c > c,SY1537: set_c] :
            ( ~ ! [SY1538: sum_sum_c_c] :
                  ( ~ ( member_Sum_sum_c_c @ SY1538 @ SV209 )
                  | ( member_c @ ( SY1536 @ SY1538 ) @ SY1537 ) )
            | ( member_Sum_sum_c_c_c @ SY1536
              @ ( pi_Sum_sum_c_c_c @ SV209
                @ ^ [SX3: sum_sum_c_c] : SY1537 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1223]) ).

thf(1610,plain,
    ! [SV210: c > c] :
      ( ( ! [SY1540: set_c,SY1541: c > $o] :
            ( ( collect_c
              @ ^ [SY1542: c] :
                  ~ ( ~ ( member_c @ SY1542 @ ( image_c_c @ SV210 @ SY1540 ) )
                    | ~ ( SY1541 @ SY1542 ) ) )
            = ( image_c_c @ SV210
              @ ( collect_c
                @ ^ [SY1543: c] :
                    ~ ( ~ ( member_c @ SY1543 @ SY1540 )
                      | ~ ( SY1541 @ ( SV210 @ SY1543 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1224]) ).

thf(1611,plain,
    ( ( ! [SV211: set_c] :
          ( ( ord_less_eq_set_c @ SV211 )
          = ( ^ [SY1544: set_c] :
              ! [SY1545: c] :
                ( ~ ( member_c @ SY1545 @ SV211 )
                | ( member_c @ SY1545 @ SY1544 ) ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1225]) ).

thf(1612,plain,
    ( ( ord_less_eq_set_c
      = ( ^ [SX0: set_c,SX1: set_c] :
          ! [SX2: c] :
            ( ~ ( member_c @ SX2 @ SX0 )
            | ( member_c @ SX2 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1225]) ).

thf(1613,plain,
    ! [SV212: real > finite1398487019real_c] :
      ( ( ! [SY1546: real > finite1398487019real_c,SY1547: real > finite1398487019real_c] :
            ( ( member1321351885real_c @ SV212 @ ( set_or1308937537real_c @ SY1546 @ SY1547 ) )
            = ( ~ ( ~ ( ord_le584953750real_c @ SY1546 @ SV212 )
                  | ~ ( ord_le584953750real_c @ SV212 @ SY1547 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1226]) ).

thf(1614,plain,
    ! [SV213: c > sum_sum_c_d] :
      ( ( ! [SY1548: set_c,SY1549: sum_sum_c_d > $o] :
            ( ~ ! [SY1550: sum_sum_c_d] :
                  ( ~ ( member_Sum_sum_c_d @ SY1550 @ ( image_c_Sum_sum_c_d @ SV213 @ SY1548 ) )
                  | ( SY1549 @ SY1550 ) )
            | ! [SY1551: c] :
                ( ~ ( member_c @ SY1551 @ SY1548 )
                | ( SY1549 @ ( SV213 @ SY1551 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1227]) ).

thf(1615,plain,
    ! [SV214: sum_sum_c_c] :
      ( ( ! [SY1552: c > sum_sum_c_c,SY1553: set_c] :
            ( ( member_Sum_sum_c_c @ SV214 @ ( image_c_Sum_sum_c_c @ SY1552 @ SY1553 ) )
            = ( ~ ! [SY1554: c] :
                    ~ ~ ( ~ ( member_c @ SY1554 @ SY1553 )
                        | ( SV214
                         != ( SY1552 @ SY1554 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1228]) ).

thf(1616,plain,
    ! [SV215: c > c] :
      ( ( ! [SY1555: set_c,SY1556: c > set_c,SY1557: c] :
            ( ~ ( member_c_c @ SV215 @ ( pi_c_c @ SY1555 @ SY1556 ) )
            | ~ ( member_c @ SY1557 @ SY1555 )
            | ( member_c @ ( SV215 @ SY1557 ) @ ( SY1556 @ SY1557 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1229]) ).

thf(1617,plain,
    ( ( ( ~ ~ ( ~ ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
              | ~ ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) ) ) )
      = $true )
    | ( ( ~ ( ~ ( ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
                | ( ( finite772340578real_c
                    @ ( produc2010422875real_c
                      @ ( denota161327353_a_b_c @ i @ oDEa
                        @ ( produc394644079real_c
                          @ ( finite557796307c_real
                            @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                          @ bb )
                        @ ( finite557796307c_real
                          @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
                    @ i2 )
                  = ( finite772340578real_c @ ( sol @ zero_zero_real ) @ i2 ) ) )
            | ~ ( ~ ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
                | ( ( finite772340578real_c
                    @ ( produc2010422875real_c
                      @ ( denota161327353_a_b_c @ i @ oDEa
                        @ ( produc394644079real_c
                          @ ( finite557796307c_real
                            @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                          @ bb )
                        @ ( finite557796307c_real
                          @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
                    @ i2 )
                  = ( finite772340578real_c @ ab @ i2 ) ) ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1230]) ).

thf(1618,plain,
    ! [SV216: set_Sum_sum_c_c] :
      ( ( ! [SY1558: sum_sum_c_c > sum_sum_c_c,SY1559: sum_sum_c_c > set_Sum_sum_c_c] :
            ( ~ ! [SY1560: sum_sum_c_c] :
                  ( ~ ( member_Sum_sum_c_c @ SY1560 @ SV216 )
                  | ( member_Sum_sum_c_c @ ( SY1558 @ SY1560 ) @ ( SY1559 @ SY1560 ) ) )
            | ( member1326674048um_c_c @ SY1558 @ ( pi_Sum253006871um_c_c @ SV216 @ SY1559 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1231]) ).

thf(1619,plain,
    ! [SV217: c] :
      ( ( ! [SY1561: set_c,SY1562: c > c] :
            ( ~ ( member_c @ SV217 @ SY1561 )
            | ( member_c @ ( SY1562 @ SV217 ) @ ( image_c_c @ SY1562 @ SY1561 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1232]) ).

thf(1620,plain,
    ! [SV218: set_real] :
      ( ( ! [SY1563: real > finite1398487019real_c,SY1564: real > set_Fi1407883041real_c] :
            ( ~ ! [SY1565: real] :
                  ( ~ ( member_real @ SY1565 @ SV218 )
                  | ( member1261661570real_c @ ( SY1563 @ SY1565 ) @ ( SY1564 @ SY1565 ) ) )
            | ( member1321351885real_c @ SY1563 @ ( pi_rea1111636068real_c @ SV218 @ SY1564 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1233]) ).

thf(1621,plain,
    ! [SV219: sum_sum_c_c] :
      ( ( ! [SY1566: sum_sum_c_d > sum_sum_c_c,SY1567: sum_sum_c_d,SY1568: set_Sum_sum_c_d] :
            ( ( SV219
             != ( SY1566 @ SY1567 ) )
            | ~ ( member_Sum_sum_c_d @ SY1567 @ SY1568 )
            | ( member_Sum_sum_c_c @ SV219 @ ( image_1558941394um_c_c @ SY1566 @ SY1568 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1234]) ).

thf(1622,plain,
    ! [SV220: sum_sum_c_c] :
      ( ( ! [SY1569: set_Sum_sum_c_c,SY1570: sum_sum_c_c,SY1571: sum_sum_c_c > sum_sum_c_c] :
            ( ~ ( member_Sum_sum_c_c @ SV220 @ SY1569 )
            | ( SY1570
             != ( SY1571 @ SV220 ) )
            | ( member_Sum_sum_c_c @ SY1570 @ ( image_666880337um_c_c @ SY1571 @ SY1569 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1235]) ).

thf(1623,plain,
    ! [SV221: set_c] :
      ( ( ! [SY1572: set_c,SY1573: c > sum_sum_c_c,SY1574: c > sum_sum_c_c] :
            ( ( SV221 != SY1572 )
            | ~ ! [SX4: c] :
                  ( ~ ( member_c @ SX4 @ SY1572 )
                  | ( ( SY1573 @ SX4 )
                    = ( SY1574 @ SX4 ) ) )
            | ( ( image_c_Sum_sum_c_c @ SY1573 @ SV221 )
              = ( image_c_Sum_sum_c_c @ SY1574 @ SY1572 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1236]) ).

thf(1624,plain,
    ! [SV222: set_c] :
      ( ( ! [SY1576: set_c,SY1577: finite1398487019real_c,SY1578: finite1398487019real_c] :
            ( ~ ( ord_less_eq_set_c @ SV222 @ SY1576 )
            | ~ ( denota256060419gree_c @ SY1577 @ SY1578 @ SY1576 )
            | ( denota256060419gree_c @ SY1577 @ SY1578 @ SV222 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1237]) ).

thf(1625,plain,
    ! [SV223: sum_sum_c_c] :
      ( ( ! [SY1579: c > sum_sum_c_c,SY1580: set_c] :
            ( ~ ( member_Sum_sum_c_c @ SV223 @ ( image_c_Sum_sum_c_c @ SY1579 @ SY1580 ) )
            | ~ ! [SY1581: c] :
                  ( ( SV223
                   != ( SY1579 @ SY1581 ) )
                  | ~ ( member_c @ SY1581 @ SY1580 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1238]) ).

thf(1626,plain,
    ! [SV224: c] :
      ( ( ! [SY1582: set_c,SY1583: c > sum_sum_c_c] :
            ( ~ ( member_c @ SV224 @ SY1582 )
            | ( member_Sum_sum_c_c @ ( SY1583 @ SV224 ) @ ( image_c_Sum_sum_c_c @ SY1583 @ SY1582 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1239]) ).

thf(1627,plain,
    ! [SV225: sum_sum_c_c > sum_sum_c_c] :
      ( ( ! [SY1584: set_Sum_sum_c_c,SY1585: sum_sum_c_c > set_Sum_sum_c_c,SY1586: sum_sum_c_c] :
            ( ~ ( member1326674048um_c_c @ SV225 @ ( pi_Sum253006871um_c_c @ SY1584 @ SY1585 ) )
            | ~ ( member_Sum_sum_c_c @ SY1586 @ SY1584 )
            | ( member_Sum_sum_c_c @ ( SV225 @ SY1586 ) @ ( SY1585 @ SY1586 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1240]) ).

thf(1628,plain,
    ! [SV226: set_Sum_sum_c_c] :
      ( ( ! [SY1587: set_Sum_sum_c_c,SY1588: sum_sum_c_c] :
            ( ~ ( ord_le1772180283um_c_c @ SV226 @ SY1587 )
            | ~ ( member_Sum_sum_c_c @ SY1588 @ SV226 )
            | ( member_Sum_sum_c_c @ SY1588 @ SY1587 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1241]) ).

thf(1629,plain,
    ! [SV227: real] :
      ( ( ! [SY1589: real,SY1590: real,SY1591: real] :
            ( ( ord_le1342644953l_real @ ( produc705216881l_real @ SV227 @ SY1589 ) @ ( produc705216881l_real @ SY1590 @ SY1591 ) )
            = ( ~ ( ~ ( ord_less_eq_real @ SV227 @ SY1590 )
                  | ~ ( ord_less_eq_real @ SY1589 @ SY1591 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1242]) ).

thf(1630,plain,
    ! [SV228: c] :
      ( ( ! [SY1592: set_c] :
            ( ~ ~ ( member_c @ SV228 @ SY1592 )
            | ( member_c @ SV228 @ ( uminus_uminus_set_c @ SY1592 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1243]) ).

thf(1631,plain,
    ! [SV229: real] :
      ( ( ! [SY1593: real,SY1594: real,SY1595: real] :
            ( ~ ( ord_less_eq_real @ SV229 @ SY1593 )
            | ~ ( ord_less_eq_real @ SY1594 @ SY1595 )
            | ( ord_le1342644953l_real @ ( produc705216881l_real @ SV229 @ SY1594 ) @ ( produc705216881l_real @ SY1593 @ SY1595 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1244]) ).

thf(1632,plain,
    ! [SV230: set_Sum_sum_c_d] :
      ( ( ! [SY1596: c > sum_sum_c_d,SY1597: set_c] :
            ( ~ ( ord_le764260924um_c_d @ SV230 @ ( image_c_Sum_sum_c_d @ SY1596 @ SY1597 ) )
            | ~ ! [SY1598: set_c] :
                  ( ~ ( ord_less_eq_set_c @ SY1598 @ SY1597 )
                  | ( SV230
                   != ( image_c_Sum_sum_c_d @ SY1596 @ SY1598 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1245]) ).

thf(1633,plain,
    ( ( ! [SV231: set_Sum_sum_c_d] :
          ( ( ord_le764260924um_c_d @ SV231 )
          = ( ^ [SY1599: set_Sum_sum_c_d] :
              ! [SY1600: sum_sum_c_d] :
                ( ~ ( member_Sum_sum_c_d @ SY1600 @ SV231 )
                | ( member_Sum_sum_c_d @ SY1600 @ SY1599 ) ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1246]) ).

thf(1634,plain,
    ( ( ord_le764260924um_c_d
      = ( ^ [SX0: set_Sum_sum_c_d,SX1: set_Sum_sum_c_d] :
          ! [SX2: sum_sum_c_d] :
            ( ~ ( member_Sum_sum_c_d @ SX2 @ SX0 )
            | ( member_Sum_sum_c_d @ SX2 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1246]) ).

thf(1635,plain,
    ! [SV232: sum_sum_c_c > c] :
      ( ( ! [SY1601: set_Sum_sum_c_c,SY1602: c > $o] :
            ( ( collect_c
              @ ^ [SY1603: c] :
                  ~ ( ~ ( member_c @ SY1603 @ ( image_Sum_sum_c_c_c @ SV232 @ SY1601 ) )
                    | ~ ( SY1602 @ SY1603 ) ) )
            = ( image_Sum_sum_c_c_c @ SV232
              @ ( collect_Sum_sum_c_c
                @ ^ [SY1604: sum_sum_c_c] :
                    ~ ( ~ ( member_Sum_sum_c_c @ SY1604 @ SY1601 )
                      | ~ ( SY1602 @ ( SV232 @ SY1604 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1247]) ).

thf(1636,plain,
    ( ( ! [SV233: set_c] :
          ( ( ord_less_eq_set_c @ SV233 )
          = ( ^ [SY1605: set_c] :
              ! [SY1606: c] :
                ( ~ ( member_c @ SY1606 @ SV233 )
                | ( member_c @ SY1606 @ SY1605 ) ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1248]) ).

thf(1637,plain,
    ( ( ord_less_eq_set_c
      = ( ^ [SX0: set_c,SX1: set_c] :
          ! [SX2: c] :
            ( ~ ( member_c @ SX2 @ SX0 )
            | ( member_c @ SX2 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1248]) ).

thf(1638,plain,
    ! [SV234: c] :
      ( ( ! [SY1607: ( real > finite1398487019real_c ) > c,SY1608: set_re2066790124real_c] :
            ( ~ ( member_c @ SV234 @ ( image_266490115al_c_c @ SY1607 @ SY1608 ) )
            | ~ ! [SY1609: real > finite1398487019real_c] :
                  ( ( SV234
                   != ( SY1607 @ SY1609 ) )
                  | ~ ( member1321351885real_c @ SY1609 @ SY1608 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1249]) ).

thf(1639,plain,
    ! [SV235: c > sum_sum_c_c] :
      ( ( ! [SY1610: set_c,SY1611: sum_sum_c_c > $o] :
            ( ~ ~ ! [SY1612: sum_sum_c_c] :
                    ~ ~ ( ~ ( member_Sum_sum_c_c @ SY1612 @ ( image_c_Sum_sum_c_c @ SV235 @ SY1610 ) )
                        | ~ ( SY1611 @ SY1612 ) )
            | ~ ! [SY1613: c] :
                  ~ ~ ( ~ ( member_c @ SY1613 @ SY1610 )
                      | ~ ( SY1611 @ ( SV235 @ SY1613 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1250]) ).

thf(1640,plain,
    ! [SV236: set_Fi1407883041real_c] :
      ( ( ! [SY1614: finite1398487019real_c > $o] :
            ( ord_le1327118209real_c
            @ ( collec230941376real_c
              @ ^ [SY1615: finite1398487019real_c] :
                  ~ ( ~ ( member1261661570real_c @ SY1615 @ SV236 )
                    | ~ ( SY1614 @ SY1615 ) ) )
            @ SV236 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1251]) ).

thf(1641,plain,
    ! [SV237: set_c] :
      ( ( ! [SY1616: c > sum_sum_c_d,SY1617: c > set_Sum_sum_c_d] :
            ( ~ ! [SY1618: c] :
                  ( ~ ( member_c @ SY1618 @ SV237 )
                  | ( member_Sum_sum_c_d @ ( SY1616 @ SY1618 ) @ ( SY1617 @ SY1618 ) ) )
            | ( member_c_Sum_sum_c_d @ SY1616 @ ( pi_c_Sum_sum_c_d @ SV237 @ SY1617 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1252]) ).

thf(1642,plain,
    ! [SV238: c] :
      ( ( ! [SY1619: sum_sum_c_c > c,SY1620: sum_sum_c_c,SY1621: set_Sum_sum_c_c] :
            ( ( SV238
             != ( SY1619 @ SY1620 ) )
            | ~ ( member_Sum_sum_c_c @ SY1620 @ SY1621 )
            | ( member_c @ SV238 @ ( image_Sum_sum_c_c_c @ SY1619 @ SY1621 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1253]) ).

thf(1643,plain,
    ! [SV239: real > finite1398487019real_c] :
      ( ( ! [SY1622: c > real > finite1398487019real_c,SY1623: c,SY1624: set_c] :
            ( ( SV239
             != ( SY1622 @ SY1623 ) )
            | ~ ( member_c @ SY1623 @ SY1624 )
            | ( member1321351885real_c @ SV239 @ ( image_1226855921real_c @ SY1622 @ SY1624 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1254]) ).

thf(1644,plain,
    ! [SV240: sum_sum_c_d > sum_sum_c_c] :
      ( ( ! [SY1625: set_Sum_sum_c_d,SY1626: sum_sum_c_d > set_Sum_sum_c_c,SY1627: sum_sum_c_d] :
            ( ~ ( member71251457um_c_c @ SV240 @ ( pi_Sum1145067928um_c_c @ SY1625 @ SY1626 ) )
            | ~ ( member_Sum_sum_c_d @ SY1627 @ SY1625 )
            | ( member_Sum_sum_c_c @ ( SV240 @ SY1627 ) @ ( SY1626 @ SY1627 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1255]) ).

thf(1645,plain,
    ! [SV241: set_c] :
      ( ( ! [SY1628: c > sum_sum_c_d,SY1629: set_Sum_sum_c_d] :
            ( ~ ! [SY1630: c] :
                  ( ~ ( member_c @ SY1630 @ SV241 )
                  | ( member_Sum_sum_c_d @ ( SY1628 @ SY1630 ) @ SY1629 ) )
            | ( member_c_Sum_sum_c_d @ SY1628
              @ ( pi_c_Sum_sum_c_d @ SV241
                @ ^ [SX3: c] : SY1629 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1256]) ).

thf(1646,plain,
    ! [SV242: sum_sum_c_d] :
      ( ( ! [SY1632: set_Sum_sum_c_d,SY1633: c,SY1634: sum_sum_c_d > c] :
            ( ~ ( member_Sum_sum_c_d @ SV242 @ SY1632 )
            | ( SY1633
             != ( SY1634 @ SV242 ) )
            | ( member_c @ SY1633 @ ( image_Sum_sum_c_d_c @ SY1634 @ SY1632 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1257]) ).

thf(1647,plain,
    ! [SV243: set_Sum_sum_c_c] :
      ( ( ! [SY1635: sum_sum_c_c > sum_sum_c_d,SY1636: set_Sum_sum_c_d] :
            ( ~ ! [SY1637: sum_sum_c_c] :
                  ( ~ ( member_Sum_sum_c_c @ SY1637 @ SV243 )
                  | ( member_Sum_sum_c_d @ ( SY1635 @ SY1637 ) @ SY1636 ) )
            | ( member318754689um_c_d @ SY1635
              @ ( pi_Sum261268376um_c_d @ SV243
                @ ^ [SX3: sum_sum_c_c] : SY1636 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1258]) ).

thf(1648,plain,
    ! [SV244: set_Sum_sum_c_c] :
      ( ( ! [SY1639: set_Sum_sum_c_c,SY1640: sum_sum_c_c] :
            ( ~ ( ord_le1772180283um_c_c @ SV244 @ SY1639 )
            | ~ ( member_Sum_sum_c_c @ SY1640 @ SV244 )
            | ( member_Sum_sum_c_c @ SY1640 @ SY1639 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1259]) ).

thf(1649,plain,
    ( ( ! [SV245: produc190496183real_c] :
          ( ( ord_le850691415real_c @ SV245 )
          = ( ^ [SY1641: produc190496183real_c] :
                ~ ( ~ ( ord_le775706699real_c @ ( produc2010422875real_c @ SV245 ) @ ( produc2010422875real_c @ SY1641 ) )
                  | ~ ( ord_le775706699real_c @ ( produc314122909real_c @ SV245 ) @ ( produc314122909real_c @ SY1641 ) ) ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1260]) ).

thf(1650,plain,
    ( ( ord_le850691415real_c
      = ( ^ [SX0: produc190496183real_c,SX1: produc190496183real_c] :
            ~ ( ~ ( ord_le775706699real_c @ ( produc2010422875real_c @ SX0 ) @ ( produc2010422875real_c @ SX1 ) )
              | ~ ( ord_le775706699real_c @ ( produc314122909real_c @ SX0 ) @ ( produc314122909real_c @ SX1 ) ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1260]) ).

thf(1651,plain,
    ! [SV246: produc190496183real_c] :
      ( ( ! [SY1642: produc190496183real_c] :
            ( ~ ( ord_le850691415real_c @ SV246 @ SY1642 )
            | ( ord_le775706699real_c @ ( produc314122909real_c @ SV246 ) @ ( produc314122909real_c @ SY1642 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1261]) ).

thf(1652,plain,
    ! [SV247: sum_sum_c_c > sum_sum_c_d] :
      ( ( ! [SY1643: set_Sum_sum_c_c,SY1644: sum_sum_c_c > set_Sum_sum_c_d,SY1645: sum_sum_c_c] :
            ( ~ ( member318754689um_c_d @ SV247 @ ( pi_Sum261268376um_c_d @ SY1643 @ SY1644 ) )
            | ~ ( member_Sum_sum_c_c @ SY1645 @ SY1643 )
            | ( member_Sum_sum_c_d @ ( SV247 @ SY1645 ) @ ( SY1644 @ SY1645 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1262]) ).

thf(1653,plain,
    ! [SV248: ( real > finite1398487019real_c ) > produc190496183real_c] :
      ( ( ! [SY1646: set_re2066790124real_c,SY1647: set_Pr1389752855real_c,SY1648: real > finite1398487019real_c] :
            ( ~ ( member954762593real_c @ SV248
                @ ( pi_rea1379668980real_c @ SY1646
                  @ ^ [SX4: real > finite1398487019real_c] : SY1647 ) )
            | ~ ( member1321351885real_c @ SY1648 @ SY1646 )
            | ( member1895684704real_c @ ( SV248 @ SY1648 ) @ SY1647 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1263]) ).

thf(1654,plain,
    ! [SV249: set_c] :
      ( ( ! [SY1650: c > real > finite1398487019real_c,SY1651: set_re2066790124real_c] :
            ( ~ ! [SY1652: c] :
                  ( ~ ( member_c @ SY1652 @ SV249 )
                  | ( member1321351885real_c @ ( SY1650 @ SY1652 ) @ SY1651 ) )
            | ( ord_le35002188real_c @ ( image_1226855921real_c @ SY1650 @ SV249 ) @ SY1651 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1264]) ).

thf(1655,plain,
    ! [SV250: c > $o] :
      ( ( ! [SY1653: c > $o] :
            ( ( ord_less_eq_set_c @ ( collect_c @ SV250 ) @ ( collect_c @ SY1653 ) )
            = ( ! [SY1654: c] :
                  ( ~ ( SV250 @ SY1654 )
                  | ( SY1653 @ SY1654 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1265]) ).

thf(1656,plain,
    ! [SV251: set_re2066790124real_c] :
      ( ( ! [SY1655: set_re2066790124real_c] :
            ( ~ ! [SY1656: real > finite1398487019real_c] :
                  ( ~ ( member1321351885real_c @ SY1656 @ SV251 )
                  | ( member1321351885real_c @ SY1656 @ SY1655 ) )
            | ( ord_le35002188real_c @ SV251 @ SY1655 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1266]) ).

thf(1657,plain,
    ! [SV252: sum_sum_c_d] :
      ( ( ! [SY1657: set_Sum_sum_c_d] :
            ( ~ ~ ( member_Sum_sum_c_d @ SV252 @ SY1657 )
            | ( member_Sum_sum_c_d @ SV252 @ ( uminus373867045um_c_d @ SY1657 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1267]) ).

thf(1658,plain,
    ( ( ( ~ ( osafe_a_c @ oDEa ) )
      = $true )
    | ( ( ~ ( fsafe_a_b_c @ phi )
        | ( ode != oDEa )
        | ( p != phi )
        | ~ ( ord_less_eq_real @ zero_zero_real @ t )
        | ( ( produc394644079real_c @ aa @ ba )
         != ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
        | ~ ( initia1631504802real_c @ sol
            @ ^ [SX0: real] : ( denota1275485728_a_b_c @ i @ oDEa )
            @ ( set_or656347191t_real @ zero_zero_real @ t )
            @ ( collec230941376real_c
              @ ^ [SX0: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ SX0 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) )
        | ~ ( denota256060419gree_c @ ( sol @ zero_zero_real ) @ ab
            @ ( collect_c
              @ ^ [SX0: c] :
                  ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_BVO_a_c @ oDEa ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( static_FVO_a_c @ oDEa ) ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_FVF_a_b_c @ phi ) ) ) ) )
        | ( ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) )
          = ( denota161327353_a_b_c @ i @ oDEa
            @ ( produc394644079real_c
              @ ( finite557796307c_real
                @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
              @ bb )
            @ ( finite557796307c_real
              @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ t ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1268]) ).

thf(1659,plain,
    ( ( ( ~ ~ ( ~ ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
              | ~ ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) ) ) )
      = $true )
    | ( ( ( finite772340578real_c @ ( produc2010422875real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) ) @ i2 )
        = ( finite772340578real_c @ ab @ i2 ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1269]) ).

thf(1660,plain,
    ! [SV253: c > $o] :
      ( ( ! [SY1658: c > $o] :
            ( ~ ! [SY1659: c] :
                  ( ( SV253 @ SY1659 )
                  = ( SY1658 @ SY1659 ) )
            | ( ( collect_c @ SV253 )
              = ( collect_c @ SY1658 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1270]) ).

thf(1661,plain,
    ! [SV254: set_Sum_sum_c_d] :
      ( ( ! [SY1660: sum_sum_c_d > c,SY1661: sum_sum_c_d > set_c] :
            ( ~ ! [SY1662: sum_sum_c_d] :
                  ( ~ ( member_Sum_sum_c_d @ SY1662 @ SV254 )
                  | ( member_c @ ( SY1660 @ SY1662 ) @ ( SY1661 @ SY1662 ) ) )
            | ( member_Sum_sum_c_d_c @ SY1660 @ ( pi_Sum_sum_c_d_c @ SV254 @ SY1661 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1271]) ).

thf(1662,plain,
    ! [SV255: set_Sum_sum_c_c] :
      ( ( ! [SY1663: sum_sum_c_c > sum_sum_c_c,SY1664: set_Sum_sum_c_c] :
            ( ~ ! [SY1665: sum_sum_c_c] :
                  ( ~ ( member_Sum_sum_c_c @ SY1665 @ SV255 )
                  | ( member_Sum_sum_c_c @ ( SY1663 @ SY1665 ) @ SY1664 ) )
            | ( ord_le1772180283um_c_c @ ( image_666880337um_c_c @ SY1663 @ SV255 ) @ SY1664 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1272]) ).

thf(1663,plain,
    ! [SV256: c] :
      ( ( ! [SY1666: set_c,SY1667: c,SY1668: c > c] :
            ( ~ ( member_c @ SV256 @ SY1666 )
            | ( SY1667
             != ( SY1668 @ SV256 ) )
            | ( member_c @ SY1667 @ ( image_c_c @ SY1668 @ SY1666 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1273]) ).

thf(1664,plain,
    ! [SV257: sum_sum_c_c > sum_sum_c_c] :
      ( ( ! [SY1669: set_Sum_sum_c_c,SY1670: sum_sum_c_c > $o] :
            ( ( collect_Sum_sum_c_c
              @ ^ [SY1671: sum_sum_c_c] :
                  ~ ( ~ ( member_Sum_sum_c_c @ SY1671 @ ( image_666880337um_c_c @ SV257 @ SY1669 ) )
                    | ~ ( SY1670 @ SY1671 ) ) )
            = ( image_666880337um_c_c @ SV257
              @ ( collect_Sum_sum_c_c
                @ ^ [SY1672: sum_sum_c_c] :
                    ~ ( ~ ( member_Sum_sum_c_c @ SY1672 @ SY1669 )
                      | ~ ( SY1670 @ ( SV257 @ SY1672 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1274]) ).

thf(1665,plain,
    ! [SV258: c] :
      ( ( ! [SY1673: sum_sum_c_d > c,SY1674: sum_sum_c_d,SY1675: set_Sum_sum_c_d] :
            ( ( SV258
             != ( SY1673 @ SY1674 ) )
            | ~ ( member_Sum_sum_c_d @ SY1674 @ SY1675 )
            | ( member_c @ SV258 @ ( image_Sum_sum_c_d_c @ SY1673 @ SY1675 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1275]) ).

thf(1666,plain,
    ! [SV259: sum_sum_c_d] :
      ( ( ! [SY1676: set_Sum_sum_c_d,SY1677: sum_sum_c_d > c] :
            ( ~ ( member_Sum_sum_c_d @ SV259 @ SY1676 )
            | ( member_c @ ( SY1677 @ SV259 ) @ ( image_Sum_sum_c_d_c @ SY1677 @ SY1676 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1276]) ).

thf(1667,plain,
    ( ( ~ ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
          | ( ( finite772340578real_c @ ( produc2010422875real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) ) @ i2 )
            = ( finite772340578real_c @ ( sol @ x ) @ i2 ) ) )
      | ~ ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
          | ( ( finite772340578real_c @ ( produc2010422875real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) ) @ i2 )
            = ( finite772340578real_c @ ( sol @ x ) @ i2 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1277]) ).

thf(1668,plain,
    ( ( ( ~ ( osafe_a_c @ oDEa ) )
      = $true )
    | ( ( ~ ( fsafe_a_b_c @ phi )
        | ( ode != oDEa )
        | ( p != phi )
        | ~ ( ord_less_eq_real @ zero_zero_real @ t )
        | ( ( produc394644079real_c @ aa @ ba )
         != ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
        | ~ ( initia1631504802real_c @ sol
            @ ^ [SX0: real] : ( denota1275485728_a_b_c @ i @ oDEa )
            @ ( set_or656347191t_real @ zero_zero_real @ t )
            @ ( collec230941376real_c
              @ ^ [SX0: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ SX0 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) )
        | ~ ( denota256060419gree_c @ ( sol @ zero_zero_real ) @ ab
            @ ( collect_c
              @ ^ [SX0: c] :
                  ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_BVO_a_c @ oDEa ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( static_FVO_a_c @ oDEa ) ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_FVF_a_b_c @ phi ) ) ) ) )
        | ( ord_less_eq_real @ zero_zero_real @ t ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1278]) ).

thf(1669,plain,
    ! [SV260: sum_sum_c_c] :
      ( ( ! [SY1678: set_Sum_sum_c_c,SY1679: sum_sum_c_d,SY1680: sum_sum_c_c > sum_sum_c_d] :
            ( ~ ( member_Sum_sum_c_c @ SV260 @ SY1678 )
            | ( SY1679
             != ( SY1680 @ SV260 ) )
            | ( member_Sum_sum_c_d @ SY1679 @ ( image_675141842um_c_d @ SY1680 @ SY1678 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1279]) ).

thf(1670,plain,
    ! [SV261: set_Sum_sum_c_d] :
      ( ( ! [SY1681: sum_sum_c_d > c,SY1682: set_c] :
            ( ~ ! [SY1683: sum_sum_c_d] :
                  ( ~ ( member_Sum_sum_c_d @ SY1683 @ SV261 )
                  | ( member_c @ ( SY1681 @ SY1683 ) @ SY1682 ) )
            | ( member_Sum_sum_c_d_c @ SY1681
              @ ( pi_Sum_sum_c_d_c @ SV261
                @ ^ [SX3: sum_sum_c_d] : SY1682 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1280]) ).

thf(1671,plain,
    ! [SV262: $o] :
      ( ( ! [SY1685: finite1398487019real_c,SY1686: finite1398487019real_c,SY1687: c] :
            ~ ( ~ ( ~ SV262
                  | ( ( finite772340578real_c @ ( if_Fin36944805real_c @ SV262 @ SY1685 @ SY1686 ) @ SY1687 )
                    = ( finite772340578real_c @ SY1685 @ SY1687 ) ) )
              | ~ ( ~ ~ SV262
                  | ( ( finite772340578real_c @ ( if_Fin36944805real_c @ SV262 @ SY1685 @ SY1686 ) @ SY1687 )
                    = ( finite772340578real_c @ SY1686 @ SY1687 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[1281]) ).

thf(1672,plain,
    ( ( ! [SX0: finite1398487019real_c,SX1: finite1398487019real_c,SX2: c] :
          ~ ( ~ ( ~ $true
                | ( ( finite772340578real_c @ ( if_Fin36944805real_c @ $true @ SX0 @ SX1 ) @ SX2 )
                  = ( finite772340578real_c @ SX0 @ SX2 ) ) )
            | ~ ( ~ ~ $true
                | ( ( finite772340578real_c @ ( if_Fin36944805real_c @ $true @ SX0 @ SX1 ) @ SX2 )
                  = ( finite772340578real_c @ SX1 @ SX2 ) ) ) ) )
    = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[1281]) ).

thf(1673,plain,
    ( ( ! [SX0: finite1398487019real_c,SX1: finite1398487019real_c,SX2: c] :
          ~ ( ~ ( ~ $false
                | ( ( finite772340578real_c @ ( if_Fin36944805real_c @ $false @ SX0 @ SX1 ) @ SX2 )
                  = ( finite772340578real_c @ SX0 @ SX2 ) ) )
            | ~ ( ~ ~ $false
                | ( ( finite772340578real_c @ ( if_Fin36944805real_c @ $false @ SX0 @ SX1 ) @ SX2 )
                  = ( finite772340578real_c @ SX1 @ SX2 ) ) ) ) )
    = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[1281]) ).

thf(1674,plain,
    ! [SV263: set_Sum_sum_c_c] :
      ( ( ! [SY1688: set_Sum_sum_c_c] :
            ( ~ ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SV263 ) @ SY1688 )
            | ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SY1688 ) @ SV263 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1282]) ).

thf(1675,plain,
    ! [SV264: set_real] :
      ( ( ! [SY1689: real > finite1398487019real_c,SY1690: set_Fi1407883041real_c] :
            ( ~ ! [SY1691: real] :
                  ( ~ ( member_real @ SY1691 @ SV264 )
                  | ( member1261661570real_c @ ( SY1689 @ SY1691 ) @ SY1690 ) )
            | ( member1321351885real_c @ SY1689
              @ ( pi_rea1111636068real_c @ SV264
                @ ^ [SX3: real] : SY1690 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1283]) ).

thf(1676,plain,
    ! [SV265: set_Sum_sum_c_c] :
      ( ( ! [SY1693: set_Sum_sum_c_c,SY1694: produc190496183real_c,SY1695: produc190496183real_c] :
            ( ~ ( ord_le1772180283um_c_c @ SV265 @ SY1693 )
            | ~ ( denota1997846518gree_c @ SY1694 @ SY1695 @ SY1693 )
            | ( denota1997846518gree_c @ SY1694 @ SY1695 @ SV265 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1284]) ).

thf(1677,plain,
    ! [SV266: produc190496183real_c] :
      ( ( ! [SY1696: c,SY1697: real,SY1698: produc190496183real_c] :
            ( ( ( denotational_repd_c @ SV266 @ SY1696 @ SY1697 )
             != SY1698 )
            | ( SY1698
              = ( produc394644079real_c @ ( produc2010422875real_c @ SV266 )
                @ ( finite557796307c_real
                  @ ^ [SY1699: c] : ( if_real @ ( SY1696 = SY1699 ) @ SY1697 @ ( finite772340578real_c @ ( produc314122909real_c @ SV266 ) @ SY1699 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1285]) ).

thf(1678,plain,
    ! [SV267: set_c] :
      ( ( ! [SY1700: c > sum_sum_c_c,SY1701: c > set_Sum_sum_c_c] :
            ( ~ ! [SY1702: c] :
                  ( ~ ( member_c @ SY1702 @ SV267 )
                  | ( member_Sum_sum_c_c @ ( SY1700 @ SY1702 ) @ ( SY1701 @ SY1702 ) ) )
            | ( member_c_Sum_sum_c_c @ SY1700 @ ( pi_c_Sum_sum_c_c @ SV267 @ SY1701 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1286]) ).

thf(1679,plain,
    ! [SV268: set_c] :
      ( ( ! [SY1703: c > sum_sum_c_c,SY1704: set_Sum_sum_c_c] :
            ( ~ ! [SY1705: c] :
                  ( ~ ( member_c @ SY1705 @ SV268 )
                  | ( member_Sum_sum_c_c @ ( SY1703 @ SY1705 ) @ SY1704 ) )
            | ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SY1703 @ SV268 ) @ SY1704 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1287]) ).

thf(1680,plain,
    ! [SV269: set_Sum_sum_c_d] :
      ( ( ! [SY1706: set_Sum_sum_c_d,SY1707: sum_sum_c_d] :
            ( ~ ( ord_le764260924um_c_d @ SV269 @ SY1706 )
            | ~ ( member_Sum_sum_c_d @ SY1707 @ SV269 )
            | ( member_Sum_sum_c_d @ SY1707 @ SY1706 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1288]) ).

thf(1681,plain,
    ! [SV270: c > $o] :
      ( ( ! [SY1708: c > $o] :
            ( ~ ! [SY1709: c] :
                  ( ~ ( SV270 @ SY1709 )
                  | ( SY1708 @ SY1709 ) )
            | ( ord_less_eq_set_c @ ( collect_c @ SV270 ) @ ( collect_c @ SY1708 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1289]) ).

thf(1682,plain,
    ! [SV271: real] :
      ( ( ! [SY1710: real,SY1711: real,SY1712: real] :
            ( ( ord_less_eq_set_real @ ( set_or656347191t_real @ SV271 @ SY1710 ) @ ( set_or656347191t_real @ SY1711 @ SY1712 ) )
            = ( ~ ( ord_less_eq_real @ SV271 @ SY1710 )
              | ~ ( ~ ( ord_less_eq_real @ SY1711 @ SV271 )
                  | ~ ( ord_less_eq_real @ SY1710 @ SY1712 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1290]) ).

thf(1683,plain,
    ( ( ! [SV272: set_re2066790124real_c] :
          ( ( ord_le35002188real_c @ SV272 )
          = ( ^ [SY1713: set_re2066790124real_c] :
              ! [SY1714: real > finite1398487019real_c] :
                ( ~ ( member1321351885real_c @ SY1714 @ SV272 )
                | ( member1321351885real_c @ SY1714 @ SY1713 ) ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1291]) ).

thf(1684,plain,
    ( ( ord_le35002188real_c
      = ( ^ [SX0: set_re2066790124real_c,SX1: set_re2066790124real_c] :
          ! [SX2: real > finite1398487019real_c] :
            ( ~ ( member1321351885real_c @ SX2 @ SX0 )
            | ( member1321351885real_c @ SX2 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1291]) ).

thf(1685,plain,
    ( ( ! [SV273: set_Pr1389752855real_c] :
          ( ( ord_le977353143real_c @ SV273 )
          = ( ^ [SY1715: set_Pr1389752855real_c] :
              ! [SY1716: produc190496183real_c] :
                ( ~ ( member1895684704real_c @ SY1716 @ SV273 )
                | ( member1895684704real_c @ SY1716 @ SY1715 ) ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1292]) ).

thf(1686,plain,
    ( ( ord_le977353143real_c
      = ( ^ [SX0: set_Pr1389752855real_c,SX1: set_Pr1389752855real_c] :
          ! [SX2: produc190496183real_c] :
            ( ~ ( member1895684704real_c @ SX2 @ SX0 )
            | ( member1895684704real_c @ SX2 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1292]) ).

thf(1687,plain,
    ! [SV274: sum_sum_c_c] :
      ( ( ! [SY1717: set_Sum_sum_c_c,SY1718: sum_sum_c_c > sum_sum_c_c] :
            ( ~ ( member_Sum_sum_c_c @ SV274 @ SY1717 )
            | ( member_Sum_sum_c_c @ ( SY1718 @ SV274 ) @ ( image_666880337um_c_c @ SY1718 @ SY1717 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1293]) ).

thf(1688,plain,
    ! [SV275: set_c] :
      ( ( ! [SY1719: c > real > finite1398487019real_c,SY1720: c > set_re2066790124real_c] :
            ( ~ ! [SY1721: c] :
                  ( ~ ( member_c @ SY1721 @ SV275 )
                  | ( member1321351885real_c @ ( SY1719 @ SY1721 ) @ ( SY1720 @ SY1721 ) ) )
            | ( member469531344real_c @ SY1719 @ ( pi_c_r41638571real_c @ SV275 @ SY1720 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1294]) ).

thf(1689,plain,
    ! [SV276: c > sum_sum_c_c] :
      ( ( ! [SY1722: set_c,SY1723: c > set_Sum_sum_c_c,SY1724: c] :
            ( ~ ( member_c_Sum_sum_c_c @ SV276 @ ( pi_c_Sum_sum_c_c @ SY1722 @ SY1723 ) )
            | ~ ~ ( member_Sum_sum_c_c @ ( SV276 @ SY1724 ) @ ( SY1723 @ SY1724 ) )
            | ~ ( member_c @ SY1724 @ SY1722 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1295]) ).

thf(1690,plain,
    ! [SV277: c] :
      ( ( ~ ( ~ ~ ( ~ ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SV277 ) @ ( static_BVO_a_c @ oDEa ) )
                      | ( ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SV277 )
                        = ( finite772340578real_c @ ab @ SV277 ) ) )
                  | ~ ( ~ ( member_Sum_sum_c_d @ ( sum_Inl_c_d @ SV277 ) @ ( image_c_Sum_sum_c_d @ sum_Inl_c_d @ ( static_FVO_a_c @ oDEa ) ) )
                      | ( ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SV277 )
                        = ( finite772340578real_c @ ab @ SV277 ) ) ) )
            | ~ ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SV277 ) @ ( static_FVF_a_b_c @ phi ) )
                | ( ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SV277 )
                  = ( finite772340578real_c @ ab @ SV277 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1296]) ).

thf(1691,plain,
    ! [SV278: sum_sum_c_c > sum_sum_c_c] :
      ( ( ! [SY1725: set_Sum_sum_c_c,SY1726: sum_sum_c_c > set_Sum_sum_c_c,SY1727: sum_sum_c_c] :
            ( ~ ( member1326674048um_c_c @ SV278 @ ( pi_Sum253006871um_c_c @ SY1725 @ SY1726 ) )
            | ~ ~ ( member_Sum_sum_c_c @ ( SV278 @ SY1727 ) @ ( SY1726 @ SY1727 ) )
            | ~ ( member_Sum_sum_c_c @ SY1727 @ SY1725 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1297]) ).

thf(1692,plain,
    ! [SV279: set_Sum_sum_c_c] :
      ( ( ! [SY1728: sum_sum_c_c > sum_sum_c_c,SY1729: sum_sum_c_c > set_Sum_sum_c_c] :
            ( ~ ! [SY1730: sum_sum_c_c] :
                  ( ~ ( member_Sum_sum_c_c @ SY1730 @ SV279 )
                  | ( member_Sum_sum_c_c @ ( SY1728 @ SY1730 ) @ ( SY1729 @ SY1730 ) ) )
            | ( member1326674048um_c_c @ SY1728 @ ( pi_Sum253006871um_c_c @ SV279 @ SY1729 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1298]) ).

thf(1693,plain,
    ! [SV280: sum_sum_c_c > c] :
      ( ( ! [SY1731: set_Sum_sum_c_c,SY1732: sum_sum_c_c > set_c,SY1733: sum_sum_c_c] :
            ( ~ ( member_Sum_sum_c_c_c @ SV280 @ ( pi_Sum_sum_c_c_c @ SY1731 @ SY1732 ) )
            | ~ ~ ( member_c @ ( SV280 @ SY1733 ) @ ( SY1732 @ SY1733 ) )
            | ~ ( member_Sum_sum_c_c @ SY1733 @ SY1731 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1299]) ).

thf(1694,plain,
    ! [SV281: sum_sum_c_d] :
      ( ( ! [SY1734: sum_sum_c_c > sum_sum_c_d,SY1735: set_Sum_sum_c_c] :
            ( ~ ( member_Sum_sum_c_d @ SV281 @ ( image_675141842um_c_d @ SY1734 @ SY1735 ) )
            | ~ ! [SY1736: sum_sum_c_c] :
                  ( ( SV281
                   != ( SY1734 @ SY1736 ) )
                  | ~ ( member_Sum_sum_c_c @ SY1736 @ SY1735 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1300]) ).

thf(1695,plain,
    ! [SV282: set_c] :
      ( ( ! [SY1737: c > sum_sum_c_c,SY1738: c > set_Sum_sum_c_c] :
            ( ~ ! [SY1739: c] :
                  ( ~ ( member_c @ SY1739 @ SV282 )
                  | ( member_Sum_sum_c_c @ ( SY1737 @ SY1739 ) @ ( SY1738 @ SY1739 ) ) )
            | ( member_c_Sum_sum_c_c @ SY1737 @ ( pi_c_Sum_sum_c_c @ SV282 @ SY1738 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1301]) ).

thf(1696,plain,
    ! [SV283: set_c] :
      ( ( ! [SY1740: set_c,SY1741: finite1398487019real_c,SY1742: finite1398487019real_c] :
            ( ~ ( ord_less_eq_set_c @ SV283 @ SY1740 )
            | ~ ( denota256060419gree_c @ SY1741 @ SY1742 @ SY1740 )
            | ( denota256060419gree_c @ SY1741 @ SY1742 @ SV283 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1302]) ).

thf(1697,plain,
    ! [SV284: ( real > finite1398487019real_c ) > sum_sum_c_d] :
      ( ( ! [SY1743: set_re2066790124real_c,SY1744: set_Sum_sum_c_d,SY1745: real > finite1398487019real_c] :
            ( ~ ( member1494186770um_c_d @ SV284
                @ ( pi_rea1508591913um_c_d @ SY1743
                  @ ^ [SX4: real > finite1398487019real_c] : SY1744 ) )
            | ~ ( member1321351885real_c @ SY1745 @ SY1743 )
            | ( member_Sum_sum_c_d @ ( SV284 @ SY1745 ) @ SY1744 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1303]) ).

thf(1698,plain,
    ! [SV285: c] :
      ( ( ! [SY1747: set_c,SY1748: sum_sum_c_d,SY1749: c > sum_sum_c_d] :
            ( ~ ( member_c @ SV285 @ SY1747 )
            | ( SY1748
             != ( SY1749 @ SV285 ) )
            | ( member_Sum_sum_c_d @ SY1748 @ ( image_c_Sum_sum_c_d @ SY1749 @ SY1747 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1304]) ).

thf(1699,plain,
    ! [SV286: set_c] :
      ( ( ! [SY1750: c > c,SY1751: c > set_c] :
            ( ~ ! [SY1752: c] :
                  ( ~ ( member_c @ SY1752 @ SV286 )
                  | ( member_c @ ( SY1750 @ SY1752 ) @ ( SY1751 @ SY1752 ) ) )
            | ( member_c_c @ SY1750 @ ( pi_c_c @ SV286 @ SY1751 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1305]) ).

thf(1700,plain,
    ! [SV287: c] :
      ( ( ! [SY1753: set_c,SY1754: real > finite1398487019real_c,SY1755: c > real > finite1398487019real_c] :
            ( ~ ( member_c @ SV287 @ SY1753 )
            | ( SY1754
             != ( SY1755 @ SV287 ) )
            | ( member1321351885real_c @ SY1754 @ ( image_1226855921real_c @ SY1755 @ SY1753 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1306]) ).

thf(1701,plain,
    ! [SV288: denota231621370t_unit] :
      ( ( ! [SY1756: oDE_a_c,SY1757: finite1398487019real_c,SY1758: produc190496183real_c] :
            ( ( ( denota1896987029_a_b_c @ SV288 @ SY1756 @ SY1757 )
             != SY1758 )
            | ( SY1758
              = ( produc394644079real_c @ SY1757 @ ( denota1275485728_a_b_c @ SV288 @ SY1756 @ SY1757 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1307]) ).

thf(1702,plain,
    ! [SV289: sum_sum_c_c] :
      ( ( ! [SY1759: sum_sum_c_c > sum_sum_c_c,SY1760: sum_sum_c_c,SY1761: set_Sum_sum_c_c] :
            ( ( SV289
             != ( SY1759 @ SY1760 ) )
            | ~ ( member_Sum_sum_c_c @ SY1760 @ SY1761 )
            | ( member_Sum_sum_c_c @ SV289 @ ( image_666880337um_c_c @ SY1759 @ SY1761 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1308]) ).

thf(1703,plain,
    ( ( ( ~ ~ ( ~ ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
              | ~ ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) ) ) )
      = $true )
    | ( ( ( finite772340578real_c @ ( produc314122909real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) ) @ i2 )
        = ( finite772340578real_c @ bb @ i2 ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1309]) ).

thf(1704,plain,
    ! [SV290: set_c] :
      ( ( ! [SY1762: set_c,SY1763: c > sum_sum_c_d] :
            ( ~ ( ord_less_eq_set_c @ SV290 @ SY1762 )
            | ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SY1763 @ SV290 ) @ ( image_c_Sum_sum_c_d @ SY1763 @ SY1762 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1310]) ).

thf(1705,plain,
    ! [SV291: c] :
      ( ( ! [SY1764: set_c] :
            ( ~ ( member_c @ SV291 @ ( uminus_uminus_set_c @ SY1764 ) )
            | ~ ( member_c @ SV291 @ SY1764 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1311]) ).

thf(1706,plain,
    ! [SV292: sum_sum_c_c] :
      ( ( ! [SY1765: set_Sum_sum_c_c,SY1766: sum_sum_c_c > c] :
            ( ~ ( member_Sum_sum_c_c @ SV292 @ SY1765 )
            | ( member_c @ ( SY1766 @ SV292 ) @ ( image_Sum_sum_c_c_c @ SY1766 @ SY1765 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1312]) ).

thf(1707,plain,
    ! [SV293: set_Sum_sum_c_d] :
      ( ( ! [SY1767: sum_sum_c_d > sum_sum_c_c,SY1768: sum_sum_c_d > set_Sum_sum_c_c] :
            ( ~ ! [SY1769: sum_sum_c_d] :
                  ( ~ ( member_Sum_sum_c_d @ SY1769 @ SV293 )
                  | ( member_Sum_sum_c_c @ ( SY1767 @ SY1769 ) @ ( SY1768 @ SY1769 ) ) )
            | ( member71251457um_c_c @ SY1767 @ ( pi_Sum1145067928um_c_c @ SV293 @ SY1768 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1313]) ).

thf(1708,plain,
    ! [SV294: sum_sum_c_c] :
      ( ( ! [SY1770: set_Sum_sum_c_c] :
            ( ~ ~ ( member_Sum_sum_c_c @ SV294 @ SY1770 )
            | ( member_Sum_sum_c_c @ SV294 @ ( uminus1381786404um_c_c @ SY1770 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1314]) ).

thf(1709,plain,
    ! [SV295: set_Pr1389752855real_c] :
      ( ( ! [SY1771: produc190496183real_c > $o] :
            ( ord_le977353143real_c
            @ ( collec1643251106real_c
              @ ^ [SY1772: produc190496183real_c] :
                  ~ ( ~ ( member1895684704real_c @ SY1772 @ SV295 )
                    | ~ ( SY1771 @ SY1772 ) ) )
            @ SV295 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1315]) ).

thf(1710,plain,
    ! [SV296: c > sum_sum_c_d] :
      ( ( ! [SY1773: set_c,SY1774: sum_sum_c_d > $o] :
            ( ( collect_Sum_sum_c_d
              @ ^ [SY1775: sum_sum_c_d] :
                  ~ ( ~ ( member_Sum_sum_c_d @ SY1775 @ ( image_c_Sum_sum_c_d @ SV296 @ SY1773 ) )
                    | ~ ( SY1774 @ SY1775 ) ) )
            = ( image_c_Sum_sum_c_d @ SV296
              @ ( collect_c
                @ ^ [SY1776: c] :
                    ~ ( ~ ( member_c @ SY1776 @ SY1773 )
                      | ~ ( SY1774 @ ( SV296 @ SY1776 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1316]) ).

thf(1711,plain,
    ! [SV297: sum_sum_c_c] :
      ( ( ! [SY1777: sum_sum_c_c > sum_sum_c_c,SY1778: set_Sum_sum_c_c] :
            ( ~ ( member_Sum_sum_c_c @ SV297 @ ( image_666880337um_c_c @ SY1777 @ SY1778 ) )
            | ~ ! [SY1779: sum_sum_c_c] :
                  ( ( SV297
                   != ( SY1777 @ SY1779 ) )
                  | ~ ( member_Sum_sum_c_c @ SY1779 @ SY1778 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1317]) ).

thf(1712,plain,
    ! [SV298: c] :
      ( ( ! [SY1780: sum_sum_c_d > c,SY1781: set_Sum_sum_c_d] :
            ( ~ ( member_c @ SV298 @ ( image_Sum_sum_c_d_c @ SY1780 @ SY1781 ) )
            | ~ ! [SY1782: sum_sum_c_d] :
                  ( ( SV298
                   != ( SY1780 @ SY1782 ) )
                  | ~ ( member_Sum_sum_c_d @ SY1782 @ SY1781 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1318]) ).

thf(1713,plain,
    ! [SV299: set_Sum_sum_c_d] :
      ( ( ! [SY1783: sum_sum_c_d > sum_sum_c_c,SY1784: sum_sum_c_d > set_Sum_sum_c_c] :
            ( ~ ! [SY1785: sum_sum_c_d] :
                  ( ~ ( member_Sum_sum_c_d @ SY1785 @ SV299 )
                  | ( member_Sum_sum_c_c @ ( SY1783 @ SY1785 ) @ ( SY1784 @ SY1785 ) ) )
            | ( member71251457um_c_c @ SY1783 @ ( pi_Sum1145067928um_c_c @ SV299 @ SY1784 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1319]) ).

thf(1714,plain,
    ! [SV300: set_c] :
      ( ( ! [SY1786: c > sum_sum_c_d,SY1787: c > set_Sum_sum_c_d] :
            ( ~ ! [SY1788: c] :
                  ( ~ ( member_c @ SY1788 @ SV300 )
                  | ( member_Sum_sum_c_d @ ( SY1786 @ SY1788 ) @ ( SY1787 @ SY1788 ) ) )
            | ( member_c_Sum_sum_c_d @ SY1786 @ ( pi_c_Sum_sum_c_d @ SV300 @ SY1787 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1320]) ).

thf(1715,plain,
    ! [SV301: sum_sum_c_d] :
      ( ( ! [SY1789: sum_sum_c_d > sum_sum_c_d,SY1790: set_Sum_sum_c_d] :
            ( ~ ( member_Sum_sum_c_d @ SV301 @ ( image_1567202899um_c_d @ SY1789 @ SY1790 ) )
            | ~ ! [SY1791: sum_sum_c_d] :
                  ( ( SV301
                   != ( SY1789 @ SY1791 ) )
                  | ~ ( member_Sum_sum_c_d @ SY1791 @ SY1790 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1321]) ).

thf(1716,plain,
    ( ( ! [SV302: produc957004601l_real] :
          ( ( ord_le1342644953l_real @ SV302 )
          = ( ^ [SY1792: produc957004601l_real] :
                ~ ( ~ ( ord_less_eq_real @ ( produc1422991709l_real @ SV302 ) @ ( produc1422991709l_real @ SY1792 ) )
                  | ~ ( ord_less_eq_real @ ( produc1407670175l_real @ SV302 ) @ ( produc1407670175l_real @ SY1792 ) ) ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1322]) ).

thf(1717,plain,
    ( ( ord_le1342644953l_real
      = ( ^ [SX0: produc957004601l_real,SX1: produc957004601l_real] :
            ~ ( ~ ( ord_less_eq_real @ ( produc1422991709l_real @ SX0 ) @ ( produc1422991709l_real @ SX1 ) )
              | ~ ( ord_less_eq_real @ ( produc1407670175l_real @ SX0 ) @ ( produc1407670175l_real @ SX1 ) ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1322]) ).

thf(1718,plain,
    ( ( ~ ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
          | ( ( finite772340578real_c
              @ ( produc314122909real_c
                @ ( denota161327353_a_b_c @ i @ oDEa
                  @ ( produc394644079real_c
                    @ ( finite557796307c_real
                      @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                    @ bb )
                  @ ( finite557796307c_real
                    @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
              @ i2 )
            = ( finite772340578real_c
              @ ( denota1275485728_a_b_c @ i @ oDEa
                @ ( finite557796307c_real
                  @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) )
              @ i2 ) ) )
      | ~ ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
          | ( ( finite772340578real_c
              @ ( produc314122909real_c
                @ ( denota161327353_a_b_c @ i @ oDEa
                  @ ( produc394644079real_c
                    @ ( finite557796307c_real
                      @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                    @ bb )
                  @ ( finite557796307c_real
                    @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
              @ i2 )
            = ( finite772340578real_c
              @ ( denota1275485728_a_b_c @ i @ oDEa
                @ ( finite557796307c_real
                  @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) )
              @ i2 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1323]) ).

thf(1719,plain,
    ! [SV303: set_Sum_sum_c_c] :
      ( ( ! [SY1793: sum_sum_c_c > c,SY1794: sum_sum_c_c > set_c] :
            ( ~ ! [SY1795: sum_sum_c_c] :
                  ( ~ ( member_Sum_sum_c_c @ SY1795 @ SV303 )
                  | ( member_c @ ( SY1793 @ SY1795 ) @ ( SY1794 @ SY1795 ) ) )
            | ( member_Sum_sum_c_c_c @ SY1793 @ ( pi_Sum_sum_c_c_c @ SV303 @ SY1794 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1324]) ).

thf(1720,plain,
    ! [SV304: produc190496183real_c] :
      ( ( ! [SY1796: produc190496183real_c] :
            ( ~ ( denota1997846518gree_c @ SV304 @ SY1796 @ ( static_FVF_a_b_c @ p ) )
            | ( ( member1895684704real_c @ SV304 @ ( denota968303861_a_b_c @ i @ p ) )
              = ( member1895684704real_c @ SY1796 @ ( denota968303861_a_b_c @ i @ p ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1325]) ).

thf(1721,plain,
    ! [SV305: set_c] :
      ( ( ! [SY1797: set_c,SY1798: c > sum_sum_c_d,SY1799: c > sum_sum_c_d] :
            ( ( SV305 != SY1797 )
            | ~ ! [SX4: c] :
                  ( ~ ( member_c @ SX4 @ SY1797 )
                  | ( ( SY1798 @ SX4 )
                    = ( SY1799 @ SX4 ) ) )
            | ( ( image_c_Sum_sum_c_d @ SY1798 @ SV305 )
              = ( image_c_Sum_sum_c_d @ SY1799 @ SY1797 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1326]) ).

thf(1722,plain,
    ! [SV306: set_Sum_sum_c_c] :
      ( ( ! [SY1801: sum_sum_c_c > c,SY1802: sum_sum_c_c > set_c] :
            ( ~ ! [SY1803: sum_sum_c_c] :
                  ( ~ ( member_Sum_sum_c_c @ SY1803 @ SV306 )
                  | ( member_c @ ( SY1801 @ SY1803 ) @ ( SY1802 @ SY1803 ) ) )
            | ( member_Sum_sum_c_c_c @ SY1801 @ ( pi_Sum_sum_c_c_c @ SV306 @ SY1802 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1327]) ).

thf(1723,plain,
    ! [SV307: set_Pr1389752855real_c] :
      ( ( ! [SY1804: set_Pr1389752855real_c] :
            ( ~ ! [SY1805: produc190496183real_c] :
                  ( ~ ( member1895684704real_c @ SY1805 @ SV307 )
                  | ( member1895684704real_c @ SY1805 @ SY1804 ) )
            | ( ord_le977353143real_c @ SV307 @ SY1804 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1328]) ).

thf(1724,plain,
    ! [SV308: c] :
      ( ( ! [SY1806: c] :
            ( ( sum_Inr_c_c @ SV308 )
           != ( sum_Inl_c_c @ SY1806 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1329]) ).

thf(1725,plain,
    ! [SV309: produc190496183real_c] :
      ( ( ! [SY1807: produc190496183real_c] :
            ( ~ ( ord_le850691415real_c @ SV309 @ SY1807 )
            | ( ord_le775706699real_c @ ( produc2010422875real_c @ SV309 ) @ ( produc2010422875real_c @ SY1807 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1330]) ).

thf(1726,plain,
    ! [SV310: set_re2066790124real_c] :
      ( ( ! [SY1808: ( real > finite1398487019real_c ) > $o] :
            ( ord_le35002188real_c
            @ ( collec913357835real_c
              @ ^ [SY1809: real > finite1398487019real_c] :
                  ~ ( ~ ( member1321351885real_c @ SY1809 @ SV310 )
                    | ~ ( SY1808 @ SY1809 ) ) )
            @ SV310 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1331]) ).

thf(1727,plain,
    ! [SV311: set_c] :
      ( ( ! [SY1810: c > $o] :
            ( ord_less_eq_set_c
            @ ( collect_c
              @ ^ [SY1811: c] :
                  ~ ( ~ ( member_c @ SY1811 @ SV311 )
                    | ~ ( SY1810 @ SY1811 ) ) )
            @ SV311 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1332]) ).

thf(1728,plain,
    ! [SV312: sum_sum_c_d] :
      ( ( ! [SY1812: set_Sum_sum_c_d,SY1813: sum_sum_c_d > sum_sum_c_c] :
            ( ~ ( member_Sum_sum_c_d @ SV312 @ SY1812 )
            | ( member_Sum_sum_c_c @ ( SY1813 @ SV312 ) @ ( image_1558941394um_c_c @ SY1813 @ SY1812 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1333]) ).

thf(1729,plain,
    ! [SV313: sum_sum_c_d] :
      ( ( ! [SY1814: set_Sum_sum_c_d,SY1815: sum_sum_c_d,SY1816: sum_sum_c_d > sum_sum_c_d] :
            ( ~ ( member_Sum_sum_c_d @ SV313 @ SY1814 )
            | ( SY1815
             != ( SY1816 @ SV313 ) )
            | ( member_Sum_sum_c_d @ SY1815 @ ( image_1567202899um_c_d @ SY1816 @ SY1814 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1334]) ).

thf(1730,plain,
    ! [SV314: c > c] :
      ( ( ! [SY1817: set_c,SY1818: c > set_c,SY1819: c] :
            ( ~ ( member_c_c @ SV314 @ ( pi_c_c @ SY1817 @ SY1818 ) )
            | ~ ~ ( member_c @ ( SV314 @ SY1819 ) @ ( SY1818 @ SY1819 ) )
            | ~ ( member_c @ SY1819 @ SY1817 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1335]) ).

thf(1731,plain,
    ! [SV315: finite1398487019real_c] :
      ( ( ! [SY1820: finite1398487019real_c,SY1821: finite1398487019real_c,SY1822: finite1398487019real_c] :
            ( ( ord_le850691415real_c @ ( produc394644079real_c @ SV315 @ SY1820 ) @ ( produc394644079real_c @ SY1821 @ SY1822 ) )
            = ( ~ ( ~ ( ord_le775706699real_c @ SV315 @ SY1821 )
                  | ~ ( ord_le775706699real_c @ SY1820 @ SY1822 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1336]) ).

thf(1732,plain,
    ! [SV316: real > finite1398487019real_c] :
      ( ( ! [SY1823: set_real,SY1824: real > set_Fi1407883041real_c] :
            ( ( member1321351885real_c @ SV316 @ ( pi_rea1111636068real_c @ SY1823 @ SY1824 ) )
            = ( ! [SY1825: real] :
                  ( ~ ( member_real @ SY1825 @ SY1823 )
                  | ( member1261661570real_c @ ( SV316 @ SY1825 ) @ ( SY1824 @ SY1825 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1337]) ).

thf(1733,plain,
    ! [SV317: sum_sum_c_d] :
      ( ( ! [SY1826: set_Sum_sum_c_d,SY1827: sum_sum_c_d > sum_sum_c_d] :
            ( ~ ( member_Sum_sum_c_d @ SV317 @ SY1826 )
            | ( member_Sum_sum_c_d @ ( SY1827 @ SV317 ) @ ( image_1567202899um_c_d @ SY1827 @ SY1826 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1338]) ).

thf(1734,plain,
    ! [SV318: set_Pr1389752855real_c] :
      ( ( ! [SY1828: set_Pr1389752855real_c,SY1829: produc190496183real_c] :
            ( ~ ( ord_le977353143real_c @ SV318 @ SY1828 )
            | ~ ( member1895684704real_c @ SY1829 @ SV318 )
            | ( member1895684704real_c @ SY1829 @ SY1828 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1339]) ).

thf(1735,plain,
    ! [SV319: ( real > finite1398487019real_c ) > c] :
      ( ( ! [SY1830: set_re2066790124real_c,SY1831: ( real > finite1398487019real_c ) > set_c,SY1832: real > finite1398487019real_c] :
            ( ~ ( member527957930al_c_c @ SV319 @ ( pi_rea1228756413al_c_c @ SY1830 @ SY1831 ) )
            | ~ ~ ( member_c @ ( SV319 @ SY1832 ) @ ( SY1831 @ SY1832 ) )
            | ~ ( member1321351885real_c @ SY1832 @ SY1830 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1340]) ).

thf(1736,plain,
    ! [SV320: set_Sum_sum_c_c] :
      ( ( ! [SY1833: set_Sum_sum_c_c] :
            ( ~ ! [SY1834: sum_sum_c_c] :
                  ( ~ ( member_Sum_sum_c_c @ SY1834 @ SV320 )
                  | ( member_Sum_sum_c_c @ SY1834 @ SY1833 ) )
            | ( ord_le1772180283um_c_c @ SV320 @ SY1833 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1341]) ).

thf(1737,plain,
    ! [SV321: c] :
      ( ( ! [SY1835: set_c,SY1836: c > real > finite1398487019real_c] :
            ( ~ ( member_c @ SV321 @ SY1835 )
            | ( member1321351885real_c @ ( SY1836 @ SV321 ) @ ( image_1226855921real_c @ SY1836 @ SY1835 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1342]) ).

thf(1738,plain,
    ! [SV322: c] :
      ( ( ! [SY1837: c > c,SY1838: c,SY1839: set_c] :
            ( ( SV322
             != ( SY1837 @ SY1838 ) )
            | ~ ( member_c @ SY1838 @ SY1839 )
            | ( member_c @ SV322 @ ( image_c_c @ SY1837 @ SY1839 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1343]) ).

thf(1739,plain,
    ( ( ! [SV323: produc190496183real_c] :
          ( ( ^ [SY1840: produc190496183real_c] : ( SV323 = SY1840 ) )
          = ( ^ [SY1841: produc190496183real_c] :
                ~ ( ( ( produc2010422875real_c @ SV323 )
                   != ( produc2010422875real_c @ SY1841 ) )
                  | ( ( produc314122909real_c @ SV323 )
                   != ( produc314122909real_c @ SY1841 ) ) ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1344]) ).

thf(1740,plain,
    ( ( ( ^ [SX0: produc190496183real_c,SX1: produc190496183real_c] : ( SX0 = SX1 ) )
      = ( ^ [SX0: produc190496183real_c,SX1: produc190496183real_c] :
            ~ ( ( ( produc2010422875real_c @ SX0 )
               != ( produc2010422875real_c @ SX1 ) )
              | ( ( produc314122909real_c @ SX0 )
               != ( produc314122909real_c @ SX1 ) ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1344]) ).

thf(1741,plain,
    ( ( ! [SV324: set_Pr1389752855real_c] :
          ( ( ord_le977353143real_c @ SV324 )
          = ( ^ [SY1842: set_Pr1389752855real_c] :
              ! [SY1843: produc190496183real_c] :
                ( ~ ( member1895684704real_c @ SY1843 @ SV324 )
                | ( member1895684704real_c @ SY1843 @ SY1842 ) ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1345]) ).

thf(1742,plain,
    ( ( ord_le977353143real_c
      = ( ^ [SX0: set_Pr1389752855real_c,SX1: set_Pr1389752855real_c] :
          ! [SX2: produc190496183real_c] :
            ( ~ ( member1895684704real_c @ SX2 @ SX0 )
            | ( member1895684704real_c @ SX2 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1345]) ).

thf(1743,plain,
    ! [SV325: finite1398487019real_c] :
      ( ( ! [SY1844: finite1398487019real_c,SY1845: finite1398487019real_c] :
            ( ( ( produc2010422875real_c @ ( produc394644079real_c @ SV325 @ SY1844 ) )
             != SY1845 )
            | ( SV325 = SY1845 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1346]) ).

thf(1744,plain,
    ! [SV326: c] :
      ( ( ! [SY1846: set_c,SY1847: c > sum_sum_c_d] :
            ( ~ ( member_c @ SV326 @ SY1846 )
            | ( member_Sum_sum_c_d @ ( SY1847 @ SV326 ) @ ( image_c_Sum_sum_c_d @ SY1847 @ SY1846 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1347]) ).

thf(1745,plain,
    ! [SV327: set_Sum_sum_c_c] :
      ( ( ! [SY1848: c > sum_sum_c_c,SY1849: set_c] :
            ( ( ord_le1772180283um_c_c @ SV327 @ ( image_c_Sum_sum_c_c @ SY1848 @ SY1849 ) )
            = ( ~ ! [SY1850: set_c] :
                    ~ ~ ( ~ ( ord_less_eq_set_c @ SY1850 @ SY1849 )
                        | ( SV327
                         != ( image_c_Sum_sum_c_c @ SY1848 @ SY1850 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1348]) ).

thf(1746,plain,
    ! [SV328: finite1398487019real_c > c] :
      ( ( ! [SY1851: set_Fi1407883041real_c,SY1852: c > $o] :
            ( ( collect_c
              @ ^ [SY1853: c] :
                  ~ ( ~ ( member_c @ SY1853 @ ( image_1260608398al_c_c @ SV328 @ SY1851 ) )
                    | ~ ( SY1852 @ SY1853 ) ) )
            = ( image_1260608398al_c_c @ SV328
              @ ( collec230941376real_c
                @ ^ [SY1854: finite1398487019real_c] :
                    ~ ( ~ ( member1261661570real_c @ SY1854 @ SY1851 )
                      | ~ ( SY1852 @ ( SV328 @ SY1854 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1349]) ).

thf(1747,plain,
    ! [SV329: c > sum_sum_c_d] :
      ( ( ! [SY1855: set_c,SY1856: sum_sum_c_d > $o] :
            ( ~ ~ ! [SY1857: sum_sum_c_d] :
                    ~ ~ ( ~ ( member_Sum_sum_c_d @ SY1857 @ ( image_c_Sum_sum_c_d @ SV329 @ SY1855 ) )
                        | ~ ( SY1856 @ SY1857 ) )
            | ~ ! [SY1858: c] :
                  ~ ~ ( ~ ( member_c @ SY1858 @ SY1855 )
                      | ~ ( SY1856 @ ( SV329 @ SY1858 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1350]) ).

thf(1748,plain,
    ! [SV330: sum_sum_c_d] :
      ( ( ! [SY1859: sum_sum_c_c > sum_sum_c_d,SY1860: sum_sum_c_c,SY1861: set_Sum_sum_c_c] :
            ( ( SV330
             != ( SY1859 @ SY1860 ) )
            | ~ ( member_Sum_sum_c_c @ SY1860 @ SY1861 )
            | ( member_Sum_sum_c_d @ SV330 @ ( image_675141842um_c_d @ SY1859 @ SY1861 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1351]) ).

thf(1749,plain,
    ! [SV331: oDE_a_c] :
      ( ( ! [SY1862: denota231621370t_unit,SY1863: real > finite1398487019real_c,SY1864: real,SY1865: finite1398487019real_c] :
            ( ~ ( osafe_a_c @ SV331 )
            | ( ( denota1275485728_a_b_c @ SY1862 @ SV331 @ ( SY1863 @ SY1864 ) )
              = ( denota1275485728_a_b_c @ SY1862 @ SV331
                @ ( finite557796307c_real
                  @ ^ [SY1866: c] : ( if_real @ ( member_c @ SY1866 @ ( static_FVO_a_c @ SV331 ) ) @ ( finite772340578real_c @ ( SY1863 @ SY1864 ) @ SY1866 ) @ ( finite772340578real_c @ SY1865 @ SY1866 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1352]) ).

thf(1750,plain,
    ! [SV332: finite1398487019real_c] :
      ( ( ! [SY1867: finite1398487019real_c,SY1868: finite1398487019real_c,SY1869: finite1398487019real_c] :
            ( ( ( produc394644079real_c @ SV332 @ SY1867 )
             != ( produc394644079real_c @ SY1868 @ SY1869 ) )
            | ~ ( ( SV332 != SY1868 )
                | ( SY1867 != SY1869 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1353]) ).

thf(1751,plain,
    ! [SV333: produc190496183real_c] :
      ( ( ~ ! [SY1870: finite1398487019real_c,SY1871: finite1398487019real_c] :
              ( SV333
             != ( produc394644079real_c @ SY1870 @ SY1871 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1354]) ).

thf(1752,plain,
    ! [SV334: set_c] :
      ( ( ! [SY1872: c > sum_sum_c_c,SY1873: set_Sum_sum_c_c] :
            ( ~ ! [SY1874: c] :
                  ( ~ ( member_c @ SY1874 @ SV334 )
                  | ( member_Sum_sum_c_c @ ( SY1872 @ SY1874 ) @ SY1873 ) )
            | ( member_c_Sum_sum_c_c @ SY1872
              @ ( pi_c_Sum_sum_c_c @ SV334
                @ ^ [SX3: c] : SY1873 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1355]) ).

thf(1753,plain,
    ( ( ( ~ ~ ( ~ ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
              | ~ ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) ) ) )
      = $true )
    | ( ( ( finite772340578real_c
          @ ( produc314122909real_c
            @ ( denota161327353_a_b_c @ i @ oDEa
              @ ( produc394644079real_c
                @ ( finite557796307c_real
                  @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                @ bb )
              @ ( finite557796307c_real
                @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
          @ i2 )
        = ( finite772340578real_c @ bb @ i2 ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1356]) ).

thf(1754,plain,
    ! [SV335: c > sum_sum_c_c] :
      ( ( ! [SY1876: set_c,SY1877: sum_sum_c_c > $o] :
            ( ( collect_Sum_sum_c_c
              @ ^ [SY1878: sum_sum_c_c] :
                  ~ ( ~ ( member_Sum_sum_c_c @ SY1878 @ ( image_c_Sum_sum_c_c @ SV335 @ SY1876 ) )
                    | ~ ( SY1877 @ SY1878 ) ) )
            = ( image_c_Sum_sum_c_c @ SV335
              @ ( collect_c
                @ ^ [SY1879: c] :
                    ~ ( ~ ( member_c @ SY1879 @ SY1876 )
                      | ~ ( SY1877 @ ( SV335 @ SY1879 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1357]) ).

thf(1755,plain,
    ( ( ( ~ ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( denota1293057250_a_b_c @ i @ oDEa ) )
            | ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( denota1293057250_a_b_c @ i @ oDEa ) ) ) )
      = $true )
    | ( ( ~ ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( denota1293057250_a_b_c @ i @ oDEa ) )
            | ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( denota1293057250_a_b_c @ i @ oDEa ) ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1359]) ).

thf(1756,plain,
    ! [SV336: c,SV4: c > real] :
      ( ( ( finite772340578real_c @ ( finite557796307c_real @ SV4 ) @ SV336 )
        = ( SV4 @ SV336 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1364]) ).

thf(1757,plain,
    ! [SV337: finite1398487019real_c] :
      ( ( ( ord_le775706699real_c @ SV337 )
        = ( ^ [SY1880: finite1398487019real_c] :
            ! [SY1881: c] : ( ord_less_eq_real @ ( finite772340578real_c @ SV337 @ SY1881 ) @ ( finite772340578real_c @ SY1880 @ SY1881 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1366]) ).

thf(1758,plain,
    ! [SV338: finite1398487019real_c,SV7: finite1398487019real_c] :
      ( ( ( ( finite772340578real_c @ SV7 )
          = ( finite772340578real_c @ SV338 ) )
        = ( SV7 = SV338 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1368]) ).

thf(1759,plain,
    ! [SV339: finite1398487019real_c] :
      ( ( ( ^ [SY1882: finite1398487019real_c] : ( SV339 = SY1882 ) )
        = ( ^ [SY1883: finite1398487019real_c] :
            ! [SY1884: c] :
              ( ( finite772340578real_c @ SV339 @ SY1884 )
              = ( finite772340578real_c @ SY1883 @ SY1884 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1369]) ).

thf(1760,plain,
    ! [SV340: sum_sum_c_c > $o,SV9: sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ SV9 @ ( collect_Sum_sum_c_c @ SV340 ) )
        = ( SV340 @ SV9 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1371]) ).

thf(1761,plain,
    ! [SV341: sum_sum_c_d > $o,SV10: sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ SV10 @ ( collect_Sum_sum_c_d @ SV341 ) )
        = ( SV341 @ SV10 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1372]) ).

thf(1762,plain,
    ! [SV342: produc190496183real_c > $o,SV11: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV11 @ ( collec1643251106real_c @ SV342 ) )
        = ( SV342 @ SV11 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1373]) ).

thf(1763,plain,
    ! [SV343: ( real > finite1398487019real_c ) > $o,SV12: real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ SV12 @ ( collec913357835real_c @ SV343 ) )
        = ( SV343 @ SV12 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1374]) ).

thf(1764,plain,
    ! [SV344: finite1398487019real_c > $o,SV13: finite1398487019real_c] :
      ( ( ( member1261661570real_c @ SV13 @ ( collec230941376real_c @ SV344 ) )
        = ( SV344 @ SV13 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1375]) ).

thf(1765,plain,
    ! [SV345: c > $o,SV14: c] :
      ( ( ( member_c @ SV14 @ ( collect_c @ SV345 ) )
        = ( SV345 @ SV14 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1376]) ).

thf(1766,plain,
    ! [SV346: finite1398487019real_c,SV21: finite1398487019real_c] :
      ( ( ( produc2010422875real_c @ ( produc394644079real_c @ SV21 @ SV346 ) )
        = SV21 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1383]) ).

thf(1767,plain,
    ! [SV347: finite1398487019real_c,SV22: finite1398487019real_c] :
      ( ( ( produc314122909real_c @ ( produc394644079real_c @ SV22 @ SV347 ) )
        = SV347 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1384]) ).

thf(1768,plain,
    ! [SV348: c > real,SV24: finite1398487019real_c] :
      ( ( ( ! [SY1885: c] :
              ( ( finite772340578real_c @ SV24 @ SY1885 )
              = ( SV348 @ SY1885 ) ) )
        = ( ( finite557796307c_real @ SV348 )
          = SV24 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1386]) ).

thf(1769,plain,
    ! [SV349: denota231621370t_unit] :
      ( ( ( denota161327353_a_b_c @ SV349 )
        = ( ^ [SY1886: oDE_a_c,SY1887: produc190496183real_c,SY1888: finite1398487019real_c] :
              ( produc394644079real_c
              @ ( finite557796307c_real
                @ ^ [SY1889: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY1889 ) @ ( denota1293057250_a_b_c @ SV349 @ SY1886 ) ) @ SY1888 @ ( produc2010422875real_c @ SY1887 ) ) @ SY1889 ) )
              @ ( finite557796307c_real
                @ ^ [SY1890: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY1890 ) @ ( denota1293057250_a_b_c @ SV349 @ SY1886 ) ) @ ( denota1275485728_a_b_c @ SV349 @ SY1886 @ SY1888 ) @ ( produc314122909real_c @ SY1887 ) ) @ SY1890 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1389]) ).

thf(1770,plain,
    ! [SV350: denota231621370t_unit] :
      ( ( ( denota310462944_a_b_c @ SV350 )
        = ( ^ [SY1891: oDE_a_c,SY1892: produc190496183real_c,SY1893: finite1398487019real_c] :
              ( produc394644079real_c
              @ ( finite557796307c_real
                @ ^ [SY1894: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY1894 ) @ ( denota1293057250_a_b_c @ SV350 @ SY1891 ) ) @ SY1893 @ ( produc2010422875real_c @ SY1892 ) ) @ SY1894 ) )
              @ ( finite557796307c_real
                @ ^ [SY1895: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY1895 ) @ ( denota1293057250_a_b_c @ SV350 @ SY1891 ) ) @ ( denota1275485728_a_b_c @ SV350 @ SY1891 @ SY1893 ) @ ( produc314122909real_c @ SY1892 ) ) @ SY1895 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1391]) ).

thf(1771,plain,
    ! [SV29: real] :
      ( ( ~ ( ( zero_zero_real
              = ( uminus_uminus_real @ SV29 ) )
            | ( zero_zero_real = SV29 ) )
        | ~ ( ( zero_zero_real
             != ( uminus_uminus_real @ SV29 ) )
            | ( zero_zero_real != SV29 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1393]) ).

thf(1772,plain,
    ! [SV29: real] :
      ( ( ( zero_zero_real
          = ( uminus_uminus_real @ SV29 ) )
        = ( zero_zero_real = SV29 ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1393]) ).

thf(1773,plain,
    ! [SV30: real] :
      ( ( ~ ( ( ( uminus_uminus_real @ SV30 )
              = zero_zero_real )
            | ( SV30 = zero_zero_real ) )
        | ~ ( ( ( uminus_uminus_real @ SV30 )
             != zero_zero_real )
            | ( SV30 != zero_zero_real ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1394]) ).

thf(1774,plain,
    ! [SV30: real] :
      ( ( ( ( uminus_uminus_real @ SV30 )
          = zero_zero_real )
        = ( SV30 = zero_zero_real ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1394]) ).

thf(1775,plain,
    ! [SV31: real] :
      ( ( ~ ( ( SV31
              = ( uminus_uminus_real @ SV31 ) )
            | ( SV31 = zero_zero_real ) )
        | ~ ( ( SV31
             != ( uminus_uminus_real @ SV31 ) )
            | ( SV31 != zero_zero_real ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1395]) ).

thf(1776,plain,
    ! [SV31: real] :
      ( ( ( SV31
          = ( uminus_uminus_real @ SV31 ) )
        = ( SV31 = zero_zero_real ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1395]) ).

thf(1777,plain,
    ! [SV32: real] :
      ( ( ~ ( ( ( uminus_uminus_real @ SV32 )
              = SV32 )
            | ( SV32 = zero_zero_real ) )
        | ~ ( ( ( uminus_uminus_real @ SV32 )
             != SV32 )
            | ( SV32 != zero_zero_real ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1396]) ).

thf(1778,plain,
    ! [SV32: real] :
      ( ( ( ( uminus_uminus_real @ SV32 )
          = SV32 )
        = ( SV32 = zero_zero_real ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1396]) ).

thf(1779,plain,
    ! [SV351: real,SV33: real] :
      ( ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV33 ) @ ( uminus_uminus_real @ SV351 ) )
        = ( ord_less_eq_real @ SV351 @ SV33 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1397]) ).

thf(1780,plain,
    ! [SV352: finite1398487019real_c,SV34: finite1398487019real_c] :
      ( ( ( uminus17964590real_c @ ( produc394644079real_c @ SV34 @ SV352 ) )
        = ( produc394644079real_c @ ( uminus1737280820real_c @ SV34 ) @ ( uminus1737280820real_c @ SV352 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1398]) ).

thf(1781,plain,
    ! [SV353: set_Sum_sum_c_c,SV35: set_Sum_sum_c_c] :
      ( ( ( uminus1225118734um_c_c @ ( produc1439061071um_c_c @ SV35 @ SV353 ) )
        = ( produc1439061071um_c_c @ ( uminus1381786404um_c_c @ SV35 ) @ ( uminus1381786404um_c_c @ SV353 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1399]) ).

thf(1782,plain,
    ! [SV354: c,SV36: finite1398487019real_c] :
      ( ( ( finite772340578real_c @ ( uminus1737280820real_c @ SV36 ) @ SV354 )
        = ( uminus_uminus_real @ ( finite772340578real_c @ SV36 @ SV354 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1400]) ).

thf(1783,plain,
    ! [SV39: real] :
      ( ( ~ ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV39 ) @ SV39 )
            | ( ord_less_eq_real @ zero_zero_real @ SV39 ) )
        | ~ ( ~ ( ord_less_eq_real @ ( uminus_uminus_real @ SV39 ) @ SV39 )
            | ~ ( ord_less_eq_real @ zero_zero_real @ SV39 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1403]) ).

thf(1784,plain,
    ! [SV39: real] :
      ( ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV39 ) @ SV39 )
        = ( ord_less_eq_real @ zero_zero_real @ SV39 ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1403]) ).

thf(1785,plain,
    ! [SV40: real] :
      ( ( ~ ( ( ord_less_eq_real @ SV40 @ ( uminus_uminus_real @ SV40 ) )
            | ( ord_less_eq_real @ SV40 @ zero_zero_real ) )
        | ~ ( ~ ( ord_less_eq_real @ SV40 @ ( uminus_uminus_real @ SV40 ) )
            | ~ ( ord_less_eq_real @ SV40 @ zero_zero_real ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1404]) ).

thf(1786,plain,
    ! [SV40: real] :
      ( ( ( ord_less_eq_real @ SV40 @ ( uminus_uminus_real @ SV40 ) )
        = ( ord_less_eq_real @ SV40 @ zero_zero_real ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1404]) ).

thf(1787,plain,
    ! [SV41: real] :
      ( ( ~ ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV41 ) @ zero_zero_real )
            | ( ord_less_eq_real @ zero_zero_real @ SV41 ) )
        | ~ ( ~ ( ord_less_eq_real @ ( uminus_uminus_real @ SV41 ) @ zero_zero_real )
            | ~ ( ord_less_eq_real @ zero_zero_real @ SV41 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1405]) ).

thf(1788,plain,
    ! [SV41: real] :
      ( ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV41 ) @ zero_zero_real )
        = ( ord_less_eq_real @ zero_zero_real @ SV41 ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1405]) ).

thf(1789,plain,
    ! [SV42: real] :
      ( ( ~ ( ( ord_less_eq_real @ zero_zero_real @ ( uminus_uminus_real @ SV42 ) )
            | ( ord_less_eq_real @ SV42 @ zero_zero_real ) )
        | ~ ( ~ ( ord_less_eq_real @ zero_zero_real @ ( uminus_uminus_real @ SV42 ) )
            | ~ ( ord_less_eq_real @ SV42 @ zero_zero_real ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1406]) ).

thf(1790,plain,
    ! [SV42: real] :
      ( ( ( ord_less_eq_real @ zero_zero_real @ ( uminus_uminus_real @ SV42 ) )
        = ( ord_less_eq_real @ SV42 @ zero_zero_real ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1406]) ).

thf(1791,plain,
    ! [SV355: real,SV43: real] :
      ( ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV43 ) @ SV355 )
        = ( ord_less_eq_real @ ( uminus_uminus_real @ SV355 ) @ SV43 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1407]) ).

thf(1792,plain,
    ! [SV356: real,SV44: real] :
      ( ( ( ord_less_eq_real @ SV44 @ ( uminus_uminus_real @ SV356 ) )
        = ( ord_less_eq_real @ SV356 @ ( uminus_uminus_real @ SV44 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1408]) ).

thf(1793,plain,
    ! [SV357: finite1398487019real_c] :
      ( ( ( uminus1737280820real_c @ SV357 )
        = ( finite557796307c_real
          @ ^ [SY1896: c] : ( uminus_uminus_real @ ( finite772340578real_c @ SV357 @ SY1896 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1409]) ).

thf(1794,plain,
    ! [SV358: produc190496183real_c] :
      ( ( ( uminus17964590real_c @ SV358 )
        = ( produc394644079real_c @ ( uminus1737280820real_c @ ( produc2010422875real_c @ SV358 ) ) @ ( uminus1737280820real_c @ ( produc314122909real_c @ SV358 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1411]) ).

thf(1795,plain,
    ! [SV359: produc214722967um_c_c] :
      ( ( ( uminus1225118734um_c_c @ SV359 )
        = ( produc1439061071um_c_c @ ( uminus1381786404um_c_c @ ( produc1983230011um_c_c @ SV359 ) ) @ ( uminus1381786404um_c_c @ ( produc1132019837um_c_c @ SV359 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1413]) ).

thf(1796,plain,
    ! [SV360: denota231621370t_unit] :
      ( ( ( denota1896987029_a_b_c @ SV360 )
        = ( ^ [SY1897: oDE_a_c,SY1898: finite1398487019real_c] : ( produc394644079real_c @ SY1898 @ ( denota1275485728_a_b_c @ SV360 @ SY1897 @ SY1898 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1415]) ).

thf(1797,plain,
    ! [SV49: real] :
      ( ( ~ ( ( zero_zero_real = SV49 )
            | ( SV49 = zero_zero_real ) )
        | ~ ( ( zero_zero_real != SV49 )
            | ( SV49 != zero_zero_real ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1417]) ).

thf(1798,plain,
    ! [SV49: real] :
      ( ( ( zero_zero_real = SV49 )
        = ( SV49 = zero_zero_real ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1417]) ).

thf(1799,plain,
    ! [SV361: set_Sum_sum_c_c,SV50: produc190496183real_c] :
      ( ( denota1997846518gree_c @ SV50 @ SV50 @ SV361 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1418]) ).

thf(1800,plain,
    ! [SV362: denota231621370t_unit,SV51: c] :
      ( ( ! [SY1899: oDE_a_c] :
            ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SV51 ) @ ( denota1293057250_a_b_c @ SV362 @ SY1899 ) )
            = ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SV51 ) @ ( denota1293057250_a_b_c @ SV362 @ SY1899 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1419]) ).

thf(1801,plain,
    ! [SV363: set_Sum_sum_c_c,SV52: set_Sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SV52 ) @ ( uminus1381786404um_c_c @ SV363 ) )
        = ( ord_le1772180283um_c_c @ SV363 @ SV52 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1420]) ).

thf(1802,plain,
    ! [SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ! [SY1900: formula_a_b_c,SY1901: formula_a_b_c] :
            ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ ( equiv_a_b_c @ SY1900 @ SY1901 ) ) )
            = ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SY1900 ) )
              = ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SY1901 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1421]) ).

thf(1803,plain,
    ! [SV365: set_Sum_sum_c_c,SV55: set_Sum_sum_c_c] :
      ( ( ( ( uminus1381786404um_c_c @ SV55 )
          = ( uminus1381786404um_c_c @ SV365 ) )
        = ( SV55 = SV365 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1423]) ).

thf(1804,plain,
    ! [SV366: set_c,SV56: finite1398487019real_c] :
      ( ( denota256060419gree_c @ SV56 @ SV56 @ SV366 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1424]) ).

thf(1805,plain,
    ! [SV367: real,SV57: real] :
      ( ( ( image_real_real @ uminus_uminus_real @ ( set_or656347191t_real @ SV57 @ SV367 ) )
        = ( set_or656347191t_real @ ( uminus_uminus_real @ SV367 ) @ ( uminus_uminus_real @ SV57 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1425]) ).

thf(1806,plain,
    ! [SV368: set_Sum_sum_c_c,SV58: set_Sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SV58 ) @ ( uminus1381786404um_c_c @ SV368 ) )
        = ( ord_le1772180283um_c_c @ SV368 @ SV58 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1426]) ).

thf(1807,plain,
    ! [SV369: set_Sum_sum_c_c,SV59: set_Sum_sum_c_c] :
      ( ( ( ( uminus1381786404um_c_c @ SV59 )
          = ( uminus1381786404um_c_c @ SV369 ) )
        = ( SV59 = SV369 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1427]) ).

thf(1808,plain,
    ! [SV370: set_c,SV60: c] :
      ( ( ( member_c @ SV60 @ ( uminus_uminus_set_c @ SV370 ) )
        = ( ~ ( member_c @ SV60 @ SV370 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1428]) ).

thf(1809,plain,
    ! [SV371: set_Sum_sum_c_d,SV61: sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ SV61 @ ( uminus373867045um_c_d @ SV371 ) )
        = ( ~ ( member_Sum_sum_c_d @ SV61 @ SV371 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1429]) ).

thf(1810,plain,
    ! [SV372: set_Pr1389752855real_c,SV62: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV62 @ ( uminus232257166real_c @ SV372 ) )
        = ( ~ ( member1895684704real_c @ SV62 @ SV372 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1430]) ).

thf(1811,plain,
    ! [SV373: set_re2066790124real_c,SV63: real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ SV63 @ ( uminus946614837real_c @ SV373 ) )
        = ( ~ ( member1321351885real_c @ SV63 @ SV373 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1431]) ).

thf(1812,plain,
    ! [SV374: set_Sum_sum_c_c,SV64: sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ SV64 @ ( uminus1381786404um_c_c @ SV374 ) )
        = ( ~ ( member_Sum_sum_c_c @ SV64 @ SV374 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1432]) ).

thf(1813,plain,
    ! [SV375: c > sum_sum_c_c,SV66: sum_sum_c_c > sum_sum_c_c] :
      ( ( ! [SY1902: set_c] :
            ( ( image_666880337um_c_c @ SV66 @ ( image_c_Sum_sum_c_c @ SV375 @ SY1902 ) )
            = ( image_c_Sum_sum_c_c
              @ ^ [SY1903: c] : ( SV66 @ ( SV375 @ SY1903 ) )
              @ SY1902 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1434]) ).

thf(1814,plain,
    ! [SV376: c > sum_sum_c_c,SV67: sum_sum_c_c > sum_sum_c_d] :
      ( ( ! [SY1904: set_c] :
            ( ( image_675141842um_c_d @ SV67 @ ( image_c_Sum_sum_c_c @ SV376 @ SY1904 ) )
            = ( image_c_Sum_sum_c_d
              @ ^ [SY1905: c] : ( SV67 @ ( SV376 @ SY1905 ) )
              @ SY1904 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1435]) ).

thf(1815,plain,
    ! [SV377: c > sum_sum_c_d,SV68: sum_sum_c_d > sum_sum_c_c] :
      ( ( ! [SY1906: set_c] :
            ( ( image_1558941394um_c_c @ SV68 @ ( image_c_Sum_sum_c_d @ SV377 @ SY1906 ) )
            = ( image_c_Sum_sum_c_c
              @ ^ [SY1907: c] : ( SV68 @ ( SV377 @ SY1907 ) )
              @ SY1906 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1436]) ).

thf(1816,plain,
    ! [SV378: c > sum_sum_c_d,SV69: sum_sum_c_d > sum_sum_c_d] :
      ( ( ! [SY1908: set_c] :
            ( ( image_1567202899um_c_d @ SV69 @ ( image_c_Sum_sum_c_d @ SV378 @ SY1908 ) )
            = ( image_c_Sum_sum_c_d
              @ ^ [SY1909: c] : ( SV69 @ ( SV378 @ SY1909 ) )
              @ SY1908 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1437]) ).

thf(1817,plain,
    ! [SV379: c > c,SV70: c > sum_sum_c_c] :
      ( ( ! [SY1910: set_c] :
            ( ( image_c_Sum_sum_c_c @ SV70 @ ( image_c_c @ SV379 @ SY1910 ) )
            = ( image_c_Sum_sum_c_c
              @ ^ [SY1911: c] : ( SV70 @ ( SV379 @ SY1911 ) )
              @ SY1910 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1438]) ).

thf(1818,plain,
    ! [SV380: c > c,SV71: c > sum_sum_c_d] :
      ( ( ! [SY1912: set_c] :
            ( ( image_c_Sum_sum_c_d @ SV71 @ ( image_c_c @ SV380 @ SY1912 ) )
            = ( image_c_Sum_sum_c_d
              @ ^ [SY1913: c] : ( SV71 @ ( SV380 @ SY1913 ) )
              @ SY1912 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1439]) ).

thf(1819,plain,
    ! [SV381: set_Sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ SV381 )
        = ( ^ [SY1914: set_Sum_sum_c_c] :
              ( ord_le1315653386_c_c_o
              @ ^ [SY1915: sum_sum_c_c] : ( member_Sum_sum_c_c @ SY1915 @ SV381 )
              @ ^ [X3: sum_sum_c_c] : ( member_Sum_sum_c_c @ X3 @ SY1914 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1440]) ).

thf(1820,plain,
    ! [SV382: set_c] :
      ( ( ( ord_less_eq_set_c @ SV382 )
        = ( ^ [SY1917: set_c] :
              ( ord_less_eq_c_o
              @ ^ [SY1918: c] : ( member_c @ SY1918 @ SV382 )
              @ ^ [X3: c] : ( member_c @ X3 @ SY1917 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1442]) ).

thf(1821,plain,
    ! [SV383: set_Sum_sum_c_d] :
      ( ( ( ord_le764260924um_c_d @ SV383 )
        = ( ^ [SY1920: set_Sum_sum_c_d] :
              ( ord_le2143422793_c_d_o
              @ ^ [SY1921: sum_sum_c_d] : ( member_Sum_sum_c_d @ SY1921 @ SV383 )
              @ ^ [X3: sum_sum_c_d] : ( member_Sum_sum_c_d @ X3 @ SY1920 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1444]) ).

thf(1822,plain,
    ! [SV384: set_Pr1389752855real_c] :
      ( ( ( ord_le977353143real_c @ SV384 )
        = ( ^ [SY1923: set_Pr1389752855real_c] :
              ( ord_le1132241894al_c_o
              @ ^ [SY1924: produc190496183real_c] : ( member1895684704real_c @ SY1924 @ SV384 )
              @ ^ [X3: produc190496183real_c] : ( member1895684704real_c @ X3 @ SY1923 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1446]) ).

thf(1823,plain,
    ! [SV385: set_re2066790124real_c] :
      ( ( ( ord_le35002188real_c @ SV385 )
        = ( ^ [SY1926: set_re2066790124real_c] :
              ( ord_le818951225al_c_o
              @ ^ [SY1927: real > finite1398487019real_c] : ( member1321351885real_c @ SY1927 @ SV385 )
              @ ^ [X3: real > finite1398487019real_c] : ( member1321351885real_c @ X3 @ SY1926 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1448]) ).

thf(1824,plain,
    ! [SV386: set_Sum_sum_c_d] :
      ( ( ( uminus373867045um_c_d @ SV386 )
        = ( collect_Sum_sum_c_d
          @ ^ [SY1929: sum_sum_c_d] :
              ~ ( member_Sum_sum_c_d @ SY1929 @ SV386 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1453]) ).

thf(1825,plain,
    ! [SV387: set_Pr1389752855real_c] :
      ( ( ( uminus232257166real_c @ SV387 )
        = ( collec1643251106real_c
          @ ^ [SY1930: produc190496183real_c] :
              ~ ( member1895684704real_c @ SY1930 @ SV387 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1455]) ).

thf(1826,plain,
    ! [SV388: set_re2066790124real_c] :
      ( ( ( uminus946614837real_c @ SV388 )
        = ( collec913357835real_c
          @ ^ [SY1931: real > finite1398487019real_c] :
              ~ ( member1321351885real_c @ SY1931 @ SV388 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1457]) ).

thf(1827,plain,
    ! [SV389: set_Fi1407883041real_c] :
      ( ( ( uminus102402154real_c @ SV389 )
        = ( collec230941376real_c
          @ ^ [SY1932: finite1398487019real_c] :
              ~ ( member1261661570real_c @ SY1932 @ SV389 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1459]) ).

thf(1828,plain,
    ! [SV390: set_c] :
      ( ( ( uminus_uminus_set_c @ SV390 )
        = ( collect_c
          @ ^ [SY1933: c] :
              ~ ( member_c @ SY1933 @ SV390 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1461]) ).

thf(1829,plain,
    ! [SV391: set_Sum_sum_c_c] :
      ( ( ( uminus1381786404um_c_c @ SV391 )
        = ( collect_Sum_sum_c_c
          @ ^ [SY1934: sum_sum_c_c] :
              ~ ( member_Sum_sum_c_c @ SY1934 @ SV391 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1463]) ).

thf(1830,plain,
    ! [SV392: set_Sum_sum_c_d] :
      ( ( ( uminus373867045um_c_d @ SV392 )
        = ( collect_Sum_sum_c_d
          @ ( uminus916499104_c_d_o
            @ ^ [SY1935: sum_sum_c_d] : ( member_Sum_sum_c_d @ SY1935 @ SV392 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1465]) ).

thf(1831,plain,
    ! [SV393: set_Pr1389752855real_c] :
      ( ( ( uminus232257166real_c @ SV393 )
        = ( collec1643251106real_c
          @ ( uminus32155087al_c_o
            @ ^ [SY1936: produc190496183real_c] : ( member1895684704real_c @ SY1936 @ SV393 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1467]) ).

thf(1832,plain,
    ! [SV394: set_re2066790124real_c] :
      ( ( ( uminus946614837real_c @ SV394 )
        = ( collec913357835real_c
          @ ( uminus1756072592al_c_o
            @ ^ [SY1937: real > finite1398487019real_c] : ( member1321351885real_c @ SY1937 @ SV394 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1469]) ).

thf(1833,plain,
    ! [SV395: set_Fi1407883041real_c] :
      ( ( ( uminus102402154real_c @ SV395 )
        = ( collec230941376real_c
          @ ( uminus23580315al_c_o
            @ ^ [SY1938: finite1398487019real_c] : ( member1261661570real_c @ SY1938 @ SV395 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1471]) ).

thf(1834,plain,
    ! [SV396: set_c] :
      ( ( ( uminus_uminus_set_c @ SV396 )
        = ( collect_c
          @ ( uminus_uminus_c_o
            @ ^ [SY1939: c] : ( member_c @ SY1939 @ SV396 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1473]) ).

thf(1835,plain,
    ! [SV397: set_Sum_sum_c_c] :
      ( ( ( uminus1381786404um_c_c @ SV397 )
        = ( collect_Sum_sum_c_c
          @ ( uminus88729697_c_c_o
            @ ^ [SY1940: sum_sum_c_c] : ( member_Sum_sum_c_c @ SY1940 @ SV397 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1475]) ).

thf(1836,plain,
    ! [SV398: produc190496183real_c] :
      ( ( ( denotational_repd_c @ SV398 )
        = ( ^ [SY1941: c,SY1942: real] :
              ( produc394644079real_c @ ( produc2010422875real_c @ SV398 )
              @ ( finite557796307c_real
                @ ^ [SY1943: c] : ( if_real @ ( SY1941 = SY1943 ) @ SY1942 @ ( finite772340578real_c @ ( produc314122909real_c @ SV398 ) @ SY1943 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1477]) ).

thf(1837,plain,
    ! [SV399: set_c,SV93: c > sum_sum_c_c] :
      ( ( ! [SY1944: set_Sum_sum_c_c] :
            ( ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV93 @ SV399 ) @ SY1944 )
            = ( member_c_Sum_sum_c_c @ SV93
              @ ( pi_c_Sum_sum_c_c @ SV399
                @ ^ [Uu: c] : SY1944 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1479]) ).

thf(1838,plain,
    ! [SV400: set_c,SV94: c > sum_sum_c_d] :
      ( ( ! [SY1946: set_Sum_sum_c_d] :
            ( ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV94 @ SV400 ) @ SY1946 )
            = ( member_c_Sum_sum_c_d @ SV94
              @ ( pi_c_Sum_sum_c_d @ SV400
                @ ^ [Uu: c] : SY1946 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1480]) ).

thf(1839,plain,
    ! [SV401: set_real,SV95: real > finite1398487019real_c] :
      ( ( ! [SY1948: set_Fi1407883041real_c] :
            ( ( ord_le1327118209real_c @ ( image_327677598real_c @ SV95 @ SV401 ) @ SY1948 )
            = ( member1321351885real_c @ SV95
              @ ( pi_rea1111636068real_c @ SV401
                @ ^ [Uu: real] : SY1948 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1481]) ).

thf(1840,plain,
    ! [SV402: real,SV96: real] :
      ( ( ( if_real @ $false @ SV96 @ SV402 )
        = SV402 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1482]) ).

thf(1841,plain,
    ! [SV403: real,SV97: real] :
      ( ( ( if_real @ $true @ SV97 @ SV403 )
        = SV97 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1483]) ).

thf(1842,plain,
    ! [SV98: $o] :
      ( ( ( SV98 = $true )
        = $true )
      | ( ( SV98 = $false )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1484]) ).

thf(1843,plain,
    ( ( ( $true = $true )
      = $true )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1485]) ).

thf(1844,plain,
    ( ( ( $false = $true )
      = $true )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1486]) ).

thf(1845,plain,
    ! [SV404: finite1398487019real_c,SV99: finite1398487019real_c] :
      ( ( ( if_Fin36944805real_c @ $false @ SV99 @ SV404 )
        = SV404 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1487]) ).

thf(1846,plain,
    ! [SV405: finite1398487019real_c,SV100: finite1398487019real_c] :
      ( ( ( if_Fin36944805real_c @ $true @ SV100 @ SV405 )
        = SV100 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1488]) ).

thf(1847,plain,
    ! [SV406: set_Sum_sum_c_d,SV101: set_Sum_sum_c_d] :
      ( ( ! [SY1950: sum_sum_c_d] :
            ( ~ ( ord_le764260924um_c_d @ SV101 @ SV406 )
            | ~ ( member_Sum_sum_c_d @ SY1950 @ SV101 )
            | ( member_Sum_sum_c_d @ SY1950 @ SV406 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1490]) ).

thf(1848,plain,
    ! [SV407: set_Sum_sum_c_d,SV102: set_Sum_sum_c_d] :
      ( ( ~ ! [SY1951: sum_sum_c_d] :
              ( ~ ( member_Sum_sum_c_d @ SY1951 @ SV102 )
              | ( member_Sum_sum_c_d @ SY1951 @ SV407 ) )
        | ( ord_le764260924um_c_d @ SV102 @ SV407 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1491]) ).

thf(1849,plain,
    ! [SV408: set_real,SV103: real > finite1398487019real_c] :
      ( ( ! [SY1952: set_Fi1407883041real_c,SY1953: real] :
            ( ~ ( member1321351885real_c @ SV103
                @ ( pi_rea1111636068real_c @ SV408
                  @ ^ [SX4: real] : SY1952 ) )
            | ~ ( member_real @ SY1953 @ SV408 )
            | ( member1261661570real_c @ ( SV103 @ SY1953 ) @ SY1952 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1492]) ).

thf(1850,plain,
    ! [SV409: set_Sum_sum_c_c,SV104: sum_sum_c_c > c] :
      ( ( ! [SY1955: sum_sum_c_c > set_c,SY1956: sum_sum_c_c] :
            ( ~ ( member_Sum_sum_c_c_c @ SV104 @ ( pi_Sum_sum_c_c_c @ SV409 @ SY1955 ) )
            | ~ ( member_Sum_sum_c_c @ SY1956 @ SV409 )
            | ( member_c @ ( SV104 @ SY1956 ) @ ( SY1955 @ SY1956 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1493]) ).

thf(1851,plain,
    ! [SV410: set_c,SV105: set_c] :
      ( ( ! [SY1957: c] :
            ( ~ ( ord_less_eq_set_c @ SV105 @ SV410 )
            | ~ ( member_c @ SY1957 @ SV105 )
            | ( member_c @ SY1957 @ SV410 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1494]) ).

thf(1852,plain,
    ! [SV411: set_re2066790124real_c,SV106: ( real > finite1398487019real_c ) > real > finite1398487019real_c] :
      ( ( ! [SY1958: set_re2066790124real_c,SY1959: real > finite1398487019real_c] :
            ( ~ ( member1851015714real_c @ SV106
                @ ( pi_rea1386151481real_c @ SV411
                  @ ^ [SX4: real > finite1398487019real_c] : SY1958 ) )
            | ~ ( member1321351885real_c @ SY1959 @ SV411 )
            | ( member1321351885real_c @ ( SV106 @ SY1959 ) @ SY1958 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1495]) ).

thf(1853,plain,
    ! [SV412: finite1398487019real_c,SV107: finite1398487019real_c] :
      ( ( ! [SY1961: finite1398487019real_c,SY1962: finite1398487019real_c] :
            ( ( ( produc394644079real_c @ SV107 @ SV412 )
              = ( produc394644079real_c @ SY1961 @ SY1962 ) )
            = ( ~ ( ( SV107 != SY1961 )
                  | ( SV412 != SY1962 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1496]) ).

thf(1854,plain,
    ! [SV413: set_Sum_sum_c_d,SV108: sum_sum_c_d > c] :
      ( ( ! [SY1963: c > $o] :
            ( ( collect_c
              @ ^ [SY1964: c] :
                  ~ ( ~ ( member_c @ SY1964 @ ( image_Sum_sum_c_d_c @ SV108 @ SV413 ) )
                    | ~ ( SY1963 @ SY1964 ) ) )
            = ( image_Sum_sum_c_d_c @ SV108
              @ ( collect_Sum_sum_c_d
                @ ^ [SY1965: sum_sum_c_d] :
                    ~ ( ~ ( member_Sum_sum_c_d @ SY1965 @ SV413 )
                      | ~ ( SY1963 @ ( SV108 @ SY1965 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1497]) ).

thf(1855,plain,
    ! [SV414: c > sum_sum_c_d,SV109: set_Sum_sum_c_d] :
      ( ( ! [SY1966: set_c] :
            ( ( ord_le764260924um_c_d @ SV109 @ ( image_c_Sum_sum_c_d @ SV414 @ SY1966 ) )
            = ( ~ ! [SY1967: set_c] :
                    ~ ~ ( ~ ( ord_less_eq_set_c @ SY1967 @ SY1966 )
                        | ( SV109
                         != ( image_c_Sum_sum_c_d @ SV414 @ SY1967 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1498]) ).

thf(1856,plain,
    ! [SV415: denota231621370t_unit,SV110: produc190496183real_c] :
      ( ( ! [SY1968: oDE_a_c,SY1969: finite1398487019real_c] :
            ~ ! [SY1970: produc190496183real_c] :
                ~ ~ ( ~ ( denota1997846518gree_c @ SY1970 @ SV110 @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ SV415 @ SY1968 ) ) )
                    | ~ ( denota1997846518gree_c @ SY1970 @ ( denota1896987029_a_b_c @ SV415 @ SY1968 @ SY1969 ) @ ( denota1293057250_a_b_c @ SV415 @ SY1968 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1499]) ).

thf(1857,plain,
    ( ( ( osafe_a_c @ oDEa )
      = $false )
    | ( ( ~ ( fsafe_a_b_c @ phi )
        | ( ode != oDEa )
        | ( p != phi )
        | ~ ( ord_less_eq_real @ zero_zero_real @ t )
        | ( ( produc394644079real_c @ aa @ ba )
         != ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
        | ~ ( initia1631504802real_c @ sol
            @ ^ [SX0: real] : ( denota1275485728_a_b_c @ i @ oDEa )
            @ ( set_or656347191t_real @ zero_zero_real @ t )
            @ ( collec230941376real_c
              @ ^ [SX0: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ SX0 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) )
        | ~ ( denota256060419gree_c @ ( sol @ zero_zero_real ) @ ab
            @ ( collect_c
              @ ^ [SX0: c] :
                  ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_BVO_a_c @ oDEa ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( static_FVO_a_c @ oDEa ) ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_FVF_a_b_c @ phi ) ) ) ) )
        | ( ab
          = ( finite557796307c_real
            @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1500]) ).

thf(1858,plain,
    ! [SV416: oDE_a_c,SV111: c] :
      ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SV111 ) @ ( static_BVO_a_c @ SV416 ) )
        | ( member_c @ SV111 @ ( static_FVO_a_c @ SV416 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1501]) ).

thf(1859,plain,
    ! [SV417: produc190496183real_c,SV112: produc190496183real_c] :
      ( ( ! [SY1971: produc190496183real_c] :
            ( ( member1895684704real_c @ SV112 @ ( set_or385782508real_c @ SV417 @ SY1971 ) )
            = ( ~ ( ~ ( ord_le850691415real_c @ SV417 @ SV112 )
                  | ~ ( ord_le850691415real_c @ SV112 @ SY1971 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1502]) ).

thf(1860,plain,
    ! [SV418: c > sum_sum_c_d,SV113: sum_sum_c_d] :
      ( ( ! [SY1972: c,SY1973: set_c] :
            ( ( SV113
             != ( SV418 @ SY1972 ) )
            | ~ ( member_c @ SY1972 @ SY1973 )
            | ( member_Sum_sum_c_d @ SV113 @ ( image_c_Sum_sum_c_d @ SV418 @ SY1973 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1503]) ).

thf(1861,plain,
    ! [SV419: c,SV114: c] :
      ( ( ( sum_Inl_c_c @ SV114 )
       != ( sum_Inr_c_c @ SV419 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1504]) ).

thf(1862,plain,
    ! [SV420: c > sum_sum_c_d,SV115: sum_sum_c_d] :
      ( ( ! [SY1974: set_c] :
            ( ( member_Sum_sum_c_d @ SV115 @ ( image_c_Sum_sum_c_d @ SV420 @ SY1974 ) )
            = ( ~ ! [SY1975: c] :
                    ~ ~ ( ~ ( member_c @ SY1975 @ SY1974 )
                        | ( SV115
                         != ( SV420 @ SY1975 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1505]) ).

thf(1863,plain,
    ! [SV421: c > real > finite1398487019real_c,SV116: set_c] :
      ( ( ! [SY1976: set_re2066790124real_c] :
            ( ~ ! [SY1977: c] :
                  ( ~ ( member_c @ SY1977 @ SV116 )
                  | ( member1321351885real_c @ ( SV421 @ SY1977 ) @ SY1976 ) )
            | ( member469531344real_c @ SV421
              @ ( pi_c_r41638571real_c @ SV116
                @ ^ [SX3: c] : SY1976 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1506]) ).

thf(1864,plain,
    ( ( ~ ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
          | ( ( finite772340578real_c @ ( produc314122909real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) ) @ i2 )
            = ( finite772340578real_c @ ( denota1275485728_a_b_c @ i @ oDEa @ ( sol @ x ) ) @ i2 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1507]) ).

thf(1865,plain,
    ( ( ~ ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
          | ( ( finite772340578real_c @ ( produc314122909real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) ) @ i2 )
            = ( finite772340578real_c @ ( denota1275485728_a_b_c @ i @ oDEa @ ( sol @ x ) ) @ i2 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1507]) ).

thf(1866,plain,
    ! [SV422: real,SV117: real] :
      ( ( ! [SY1979: real] :
            ( ( member_real @ SV117 @ ( set_or656347191t_real @ SV422 @ SY1979 ) )
            = ( ~ ( ~ ( ord_less_eq_real @ SV422 @ SV117 )
                  | ~ ( ord_less_eq_real @ SV117 @ SY1979 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1508]) ).

thf(1867,plain,
    ! [SV423: sum_sum_c_c > c,SV118: c] :
      ( ( ! [SY1980: set_Sum_sum_c_c] :
            ( ~ ( member_c @ SV118 @ ( image_Sum_sum_c_c_c @ SV423 @ SY1980 ) )
            | ~ ! [SY1981: sum_sum_c_c] :
                  ( ( SV118
                   != ( SV423 @ SY1981 ) )
                  | ~ ( member_Sum_sum_c_c @ SY1981 @ SY1980 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1509]) ).

thf(1868,plain,
    ! [SV424: finite1398487019real_c] :
      ( ( ( denota256060419gree_c @ SV424 )
        = ( ^ [SY1982: finite1398487019real_c,SY1983: set_c] :
            ! [SY1984: c] :
              ( ~ ( member_c @ SY1984 @ SY1983 )
              | ( ( finite772340578real_c @ SV424 @ SY1984 )
                = ( finite772340578real_c @ SY1982 @ SY1984 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1510]) ).

thf(1869,plain,
    ! [SV425: sum_sum_c_d > sum_sum_c_c,SV120: set_Sum_sum_c_d] :
      ( ( ! [SY1985: set_Sum_sum_c_c] :
            ( ~ ! [SY1986: sum_sum_c_d] :
                  ( ~ ( member_Sum_sum_c_d @ SY1986 @ SV120 )
                  | ( member_Sum_sum_c_c @ ( SV425 @ SY1986 ) @ SY1985 ) )
            | ( ord_le1772180283um_c_c @ ( image_1558941394um_c_c @ SV425 @ SV120 ) @ SY1985 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1512]) ).

thf(1870,plain,
    ! [SV426: sum_sum_c_c > $o,SV121: set_Sum_sum_c_c] :
      ( ( ord_le1772180283um_c_c
        @ ( collect_Sum_sum_c_c
          @ ^ [SY1987: sum_sum_c_c] :
              ~ ( ~ ( member_Sum_sum_c_c @ SY1987 @ SV121 )
                | ~ ( SV426 @ SY1987 ) ) )
        @ SV121 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1513]) ).

thf(1871,plain,
    ! [SV427: set_Sum_sum_c_c,SV122: set_Sum_sum_c_c] :
      ( ( ~ ( ord_le1772180283um_c_c @ SV122 @ SV427 )
        | ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SV427 ) @ ( uminus1381786404um_c_c @ SV122 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1514]) ).

thf(1872,plain,
    ! [SV428: set_Sum_sum_c_c,SV123: sum_sum_c_c > sum_sum_c_d] :
      ( ( ! [SY1988: sum_sum_c_d > $o] :
            ( ( collect_Sum_sum_c_d
              @ ^ [SY1989: sum_sum_c_d] :
                  ~ ( ~ ( member_Sum_sum_c_d @ SY1989 @ ( image_675141842um_c_d @ SV123 @ SV428 ) )
                    | ~ ( SY1988 @ SY1989 ) ) )
            = ( image_675141842um_c_d @ SV123
              @ ( collect_Sum_sum_c_c
                @ ^ [SY1990: sum_sum_c_c] :
                    ~ ( ~ ( member_Sum_sum_c_c @ SY1990 @ SV428 )
                      | ~ ( SY1988 @ ( SV123 @ SY1990 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1515]) ).

thf(1873,plain,
    ! [SV429: sum_sum_c_c > sum_sum_c_d,SV124: set_Sum_sum_c_c] :
      ( ( ! [SY1991: sum_sum_c_c > set_Sum_sum_c_d] :
            ( ~ ! [SY1992: sum_sum_c_c] :
                  ( ~ ( member_Sum_sum_c_c @ SY1992 @ SV124 )
                  | ( member_Sum_sum_c_d @ ( SV429 @ SY1992 ) @ ( SY1991 @ SY1992 ) ) )
            | ( member318754689um_c_d @ SV429 @ ( pi_Sum261268376um_c_d @ SV124 @ SY1991 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1516]) ).

thf(1874,plain,
    ! [SV430: set_Sum_sum_c_d] :
      ( ( ( ord_le764260924um_c_d @ SV430 )
        = ( ^ [SY1993: set_Sum_sum_c_d] :
            ! [SY1994: sum_sum_c_d] :
              ( ~ ( member_Sum_sum_c_d @ SY1994 @ SV430 )
              | ( member_Sum_sum_c_d @ SY1994 @ SY1993 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1517]) ).

thf(1875,plain,
    ! [SV431: sum_sum_c_d > c,SV126: set_Sum_sum_c_d] :
      ( ( ! [SY1995: sum_sum_c_d > set_c] :
            ( ~ ! [SY1996: sum_sum_c_d] :
                  ( ~ ( member_Sum_sum_c_d @ SY1996 @ SV126 )
                  | ( member_c @ ( SV431 @ SY1996 ) @ ( SY1995 @ SY1996 ) ) )
            | ( member_Sum_sum_c_d_c @ SV431 @ ( pi_Sum_sum_c_d_c @ SV126 @ SY1995 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1519]) ).

thf(1876,plain,
    ! [SV432: set_Sum_sum_c_c,SV127: set_Sum_sum_c_c] :
      ( ( ~ ( ord_le1772180283um_c_c @ SV127 @ SV432 )
        | ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SV432 ) @ ( uminus1381786404um_c_c @ SV127 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1520]) ).

thf(1877,plain,
    ! [SV433: set_c,SV128: set_c] :
      ( ( ! [SY1997: c > sum_sum_c_c] :
            ( ~ ( ord_less_eq_set_c @ SV128 @ SV433 )
            | ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SY1997 @ SV128 ) @ ( image_c_Sum_sum_c_c @ SY1997 @ SV433 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1521]) ).

thf(1878,plain,
    ( ( ~ ( denota1997846518gree_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) @ ( produc394644079real_c @ ab @ bb ) @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ i @ oDEa ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1522]) ).

thf(1879,plain,
    ( ( ~ ( denota1997846518gree_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) @ ( denota1896987029_a_b_c @ i @ oDEa @ ( sol @ x ) ) @ ( denota1293057250_a_b_c @ i @ oDEa ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1522]) ).

thf(1880,plain,
    ! [SV434: set_c,SV129: c > sum_sum_c_c] :
      ( ( ! [SY1998: sum_sum_c_c > $o] :
            ( ~ ! [SY1999: sum_sum_c_c] :
                  ( ~ ( member_Sum_sum_c_c @ SY1999 @ ( image_c_Sum_sum_c_c @ SV129 @ SV434 ) )
                  | ( SY1998 @ SY1999 ) )
            | ! [SY2000: c] :
                ( ~ ( member_c @ SY2000 @ SV434 )
                | ( SY1998 @ ( SV129 @ SY2000 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1523]) ).

thf(1881,plain,
    ! [SV435: sum_sum_c_c > sum_sum_c_d,SV130: set_Sum_sum_c_c] :
      ( ( ! [SY2001: set_Sum_sum_c_d] :
            ( ~ ! [SY2002: sum_sum_c_c] :
                  ( ~ ( member_Sum_sum_c_c @ SY2002 @ SV130 )
                  | ( member_Sum_sum_c_d @ ( SV435 @ SY2002 ) @ SY2001 ) )
            | ( ord_le764260924um_c_d @ ( image_675141842um_c_d @ SV435 @ SV130 ) @ SY2001 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1524]) ).

thf(1882,plain,
    ! [SV436: set_c,SV131: c > sum_sum_c_c] :
      ( ( ! [SY2003: c > set_Sum_sum_c_c,SY2004: c] :
            ( ~ ( member_c_Sum_sum_c_c @ SV131 @ ( pi_c_Sum_sum_c_c @ SV436 @ SY2003 ) )
            | ~ ( member_c @ SY2004 @ SV436 )
            | ( member_Sum_sum_c_c @ ( SV131 @ SY2004 ) @ ( SY2003 @ SY2004 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1525]) ).

thf(1883,plain,
    ! [SV437: set_re2066790124real_c] :
      ( ( ( ord_le35002188real_c @ SV437 )
        = ( ^ [SY2005: set_re2066790124real_c] :
            ! [SY2006: real > finite1398487019real_c] :
              ( ~ ( member1321351885real_c @ SY2006 @ SV437 )
              | ( member1321351885real_c @ SY2006 @ SY2005 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1526]) ).

thf(1884,plain,
    ! [SV438: set_c,SV133: c > sum_sum_c_d] :
      ( ( ! [SY2007: c > set_Sum_sum_c_d,SY2008: c] :
            ( ~ ( member_c_Sum_sum_c_d @ SV133 @ ( pi_c_Sum_sum_c_d @ SV438 @ SY2007 ) )
            | ~ ( member_c @ SY2008 @ SV438 )
            | ( member_Sum_sum_c_d @ ( SV133 @ SY2008 ) @ ( SY2007 @ SY2008 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1528]) ).

thf(1885,plain,
    ! [SV439: set_c,SV134: c > sum_sum_c_d] :
      ( ( ! [SY2009: c > set_Sum_sum_c_d,SY2010: c] :
            ( ~ ( member_c_Sum_sum_c_d @ SV134 @ ( pi_c_Sum_sum_c_d @ SV439 @ SY2009 ) )
            | ~ ~ ( member_Sum_sum_c_d @ ( SV134 @ SY2010 ) @ ( SY2009 @ SY2010 ) )
            | ~ ( member_c @ SY2010 @ SV439 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1529]) ).

thf(1886,plain,
    ! [SV440: produc190496183real_c,SV135: produc190496183real_c > $o] :
      ( ( ~ ! [SY1346: finite1398487019real_c,SY1347: finite1398487019real_c] : ( SV135 @ ( produc394644079real_c @ SY1346 @ SY1347 ) )
        | ( SV135 @ SV440 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1530]) ).

thf(1887,plain,
    ! [SV441: c > c,SV136: set_c] :
      ( ( ! [SY2013: set_c] :
            ( ~ ! [SY2014: c] :
                  ( ~ ( member_c @ SY2014 @ SV136 )
                  | ( member_c @ ( SV441 @ SY2014 ) @ SY2013 ) )
            | ( member_c_c @ SV441
              @ ( pi_c_c @ SV136
                @ ^ [SX3: c] : SY2013 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1531]) ).

thf(1888,plain,
    ! [SV442: finite1398487019real_c > $o,SV137: finite1398487019real_c > $o] :
      ( ( ~ ! [SY2016: finite1398487019real_c] :
              ( ( SV137 @ SY2016 )
              = ( SV442 @ SY2016 ) )
        | ( ( collec230941376real_c @ SV137 )
          = ( collec230941376real_c @ SV442 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1532]) ).

thf(1889,plain,
    ! [SV443: produc190496183real_c,SV138: produc190496183real_c > $o] :
      ( ( ~ ! [SY1355: finite1398487019real_c,SY1356: finite1398487019real_c] : ( SV138 @ ( produc394644079real_c @ SY1355 @ SY1356 ) )
        | ( SV138 @ SV443 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1533]) ).

thf(1890,plain,
    ! [SV444: set_re2066790124real_c,SV139: ( real > finite1398487019real_c ) > c] :
      ( ( ! [SY2019: set_c,SY2020: real > finite1398487019real_c] :
            ( ~ ( member527957930al_c_c @ SV139
                @ ( pi_rea1228756413al_c_c @ SV444
                  @ ^ [SX4: real > finite1398487019real_c] : SY2019 ) )
            | ~ ( member1321351885real_c @ SY2020 @ SV444 )
            | ( member_c @ ( SV139 @ SY2020 ) @ SY2019 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1534]) ).

thf(1891,plain,
    ! [SV445: c > c,SV140: c] :
      ( ( ! [SY2022: set_c] :
            ( ~ ( member_c @ SV140 @ ( image_c_c @ SV445 @ SY2022 ) )
            | ~ ! [SY2023: c] :
                  ( ( SV140
                   != ( SV445 @ SY2023 ) )
                  | ~ ( member_c @ SY2023 @ SY2022 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1535]) ).

thf(1892,plain,
    ! [SV446: finite1398487019real_c > $o,SV141: finite1398487019real_c > $o] :
      ( ( ( ord_le1327118209real_c @ ( collec230941376real_c @ SV141 ) @ ( collec230941376real_c @ SV446 ) )
        = ( ! [SY2024: finite1398487019real_c] :
              ( ~ ( SV141 @ SY2024 )
              | ( SV446 @ SY2024 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1536]) ).

thf(1893,plain,
    ! [SV447: c > sum_sum_c_d,SV142: sum_sum_c_d] :
      ( ( ! [SY2025: set_c] :
            ( ~ ( member_Sum_sum_c_d @ SV142 @ ( image_c_Sum_sum_c_d @ SV447 @ SY2025 ) )
            | ~ ! [SY2026: c] :
                  ( ( SV142
                   != ( SV447 @ SY2026 ) )
                  | ~ ( member_c @ SY2026 @ SY2025 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1537]) ).

thf(1894,plain,
    ! [SV448: real > finite1398487019real_c,SV143: set_real] :
      ( ( ! [SY2027: real > finite1398487019real_c,SY2028: real > set_Fi1407883041real_c] :
            ( ~ ! [SY2029: real] :
                  ( ~ ( member_real @ SY2029 @ SV143 )
                  | ( ( SV448 @ SY2029 )
                    = ( SY2027 @ SY2029 ) ) )
            | ( ( member1321351885real_c @ SV448 @ ( pi_rea1111636068real_c @ SV143 @ SY2028 ) )
              = ( member1321351885real_c @ SY2027 @ ( pi_rea1111636068real_c @ SV143 @ SY2028 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1538]) ).

thf(1895,plain,
    ! [SV449: sum_sum_c_d > c,SV144: set_Sum_sum_c_d] :
      ( ( ! [SY2030: set_c] :
            ( ~ ! [SY2031: sum_sum_c_d] :
                  ( ~ ( member_Sum_sum_c_d @ SY2031 @ SV144 )
                  | ( member_c @ ( SV449 @ SY2031 ) @ SY2030 ) )
            | ( ord_less_eq_set_c @ ( image_Sum_sum_c_d_c @ SV449 @ SV144 ) @ SY2030 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1539]) ).

thf(1896,plain,
    ! [SV450: set_Sum_sum_c_c,SV145: sum_sum_c_c > sum_sum_c_d] :
      ( ( ! [SY2032: sum_sum_c_c > set_Sum_sum_c_d,SY2033: sum_sum_c_c] :
            ( ~ ( member318754689um_c_d @ SV145 @ ( pi_Sum261268376um_c_d @ SV450 @ SY2032 ) )
            | ~ ~ ( member_Sum_sum_c_d @ ( SV145 @ SY2033 ) @ ( SY2032 @ SY2033 ) )
            | ~ ( member_Sum_sum_c_c @ SY2033 @ SV450 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1540]) ).

thf(1897,plain,
    ! [SV451: set_real,SV146: real > finite1398487019real_c] :
      ( ( ! [SY2034: real > set_Fi1407883041real_c,SY2035: real] :
            ( ~ ( member1321351885real_c @ SV146 @ ( pi_rea1111636068real_c @ SV451 @ SY2034 ) )
            | ~ ~ ( member1261661570real_c @ ( SV146 @ SY2035 ) @ ( SY2034 @ SY2035 ) )
            | ~ ( member_real @ SY2035 @ SV451 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1541]) ).

thf(1898,plain,
    ! [SV452: set_re2066790124real_c,SV147: ( real > finite1398487019real_c ) > sum_sum_c_c] :
      ( ( ! [SY2036: set_Sum_sum_c_c,SY2037: real > finite1398487019real_c] :
            ( ~ ( member354622481um_c_c @ SV147
                @ ( pi_rea1500330408um_c_c @ SV452
                  @ ^ [SX4: real > finite1398487019real_c] : SY2036 ) )
            | ~ ( member1321351885real_c @ SY2037 @ SV452 )
            | ( member_Sum_sum_c_c @ ( SV147 @ SY2037 ) @ SY2036 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1542]) ).

thf(1899,plain,
    ! [SV148: produc190496183real_c] :
      ( ( ! [SY1386: finite1398487019real_c] :
            ~ ~ ! [SY1387: finite1398487019real_c] :
                  ( SV148
                 != ( produc394644079real_c @ SY1386 @ SY1387 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1543]) ).

thf(1900,plain,
    ! [SV453: set_Sum_sum_c_d,SV149: sum_sum_c_d] :
      ( ( ! [SY2039: sum_sum_c_c,SY2040: sum_sum_c_d > sum_sum_c_c] :
            ( ~ ( member_Sum_sum_c_d @ SV149 @ SV453 )
            | ( SY2039
             != ( SY2040 @ SV149 ) )
            | ( member_Sum_sum_c_c @ SY2039 @ ( image_1558941394um_c_c @ SY2040 @ SV453 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1544]) ).

thf(1901,plain,
    ! [SV454: set_c,SV150: c > sum_sum_c_d] :
      ( ( ! [SY2041: set_Sum_sum_c_d] :
            ( ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV150 @ SV454 ) @ SY2041 )
            = ( ! [SY2042: c] :
                  ( ~ ( member_c @ SY2042 @ SV454 )
                  | ( member_Sum_sum_c_d @ ( SV150 @ SY2042 ) @ SY2041 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1545]) ).

thf(1902,plain,
    ! [SV455: c > sum_sum_c_c,SV151: sum_sum_c_c] :
      ( ( ! [SY2043: c,SY2044: set_c] :
            ( ( SV151
             != ( SV455 @ SY2043 ) )
            | ~ ( member_c @ SY2043 @ SY2044 )
            | ( member_Sum_sum_c_c @ SV151 @ ( image_c_Sum_sum_c_c @ SV455 @ SY2044 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1546]) ).

thf(1903,plain,
    ! [SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ! [SY2045: formula_a_b_c,SY2046: formula_a_b_c] :
            ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SY2045 ) )
              = ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SY2046 ) ) )
            = ( ~ ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SY2045 ) )
                      | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SY2046 ) ) )
                  | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SY2046 ) )
                      | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SY2045 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1547]) ).

thf(1904,plain,
    ! [SV457: set_Pr1389752855real_c,SV153: produc190496183real_c] :
      ( ( ~ ~ ( member1895684704real_c @ SV153 @ SV457 )
        | ( member1895684704real_c @ SV153 @ ( uminus232257166real_c @ SV457 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1548]) ).

thf(1905,plain,
    ( ( ~ ( denota1997846518gree_c
          @ ( denota161327353_a_b_c @ i @ oDEa
            @ ( produc394644079real_c
              @ ( finite557796307c_real
                @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
              @ bb )
            @ ( finite557796307c_real
              @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) )
          @ ( produc394644079real_c
            @ ( finite557796307c_real
              @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
            @ bb )
          @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ i @ oDEa ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1549]) ).

thf(1906,plain,
    ( ( ~ ( denota1997846518gree_c
          @ ( denota161327353_a_b_c @ i @ oDEa
            @ ( produc394644079real_c
              @ ( finite557796307c_real
                @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
              @ bb )
            @ ( finite557796307c_real
              @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) )
          @ ( denota1896987029_a_b_c @ i @ oDEa
            @ ( finite557796307c_real
              @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) )
          @ ( denota1293057250_a_b_c @ i @ oDEa ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1549]) ).

thf(1907,plain,
    ! [SV458: sum_sum_c_d > $o,SV154: set_Sum_sum_c_d] :
      ( ( ord_le764260924um_c_d
        @ ( collect_Sum_sum_c_d
          @ ^ [SY2047: sum_sum_c_d] :
              ~ ( ~ ( member_Sum_sum_c_d @ SY2047 @ SV154 )
                | ~ ( SV458 @ SY2047 ) ) )
        @ SV154 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1550]) ).

thf(1908,plain,
    ! [SV459: set_Sum_sum_c_d,SV155: sum_sum_c_d > sum_sum_c_c] :
      ( ( ! [SY2048: sum_sum_c_d > set_Sum_sum_c_c,SY2049: sum_sum_c_d] :
            ( ~ ( member71251457um_c_c @ SV155 @ ( pi_Sum1145067928um_c_c @ SV459 @ SY2048 ) )
            | ~ ~ ( member_Sum_sum_c_c @ ( SV155 @ SY2049 ) @ ( SY2048 @ SY2049 ) )
            | ~ ( member_Sum_sum_c_d @ SY2049 @ SV459 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1551]) ).

thf(1909,plain,
    ! [SV460: c,SV156: d] :
      ( ( ( sum_Inr_d_c @ SV156 )
       != ( sum_Inl_c_d @ SV460 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1552]) ).

thf(1910,plain,
    ! [SV461: c > c,SV157: set_c] :
      ( ( ! [SY2050: set_c] :
            ( ~ ! [SY2051: c] :
                  ( ~ ( member_c @ SY2051 @ SV157 )
                  | ( member_c @ ( SV461 @ SY2051 ) @ SY2050 ) )
            | ( ord_less_eq_set_c @ ( image_c_c @ SV461 @ SV157 ) @ SY2050 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1553]) ).

thf(1911,plain,
    ! [SV462: produc190496183real_c,SV158: produc190496183real_c] :
      ( ( ~ ~ ( ( ( produc2010422875real_c @ SV158 )
               != ( produc2010422875real_c @ SV462 ) )
              | ( ( produc314122909real_c @ SV158 )
               != ( produc314122909real_c @ SV462 ) ) )
        | ( SV158 = SV462 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1554]) ).

thf(1912,plain,
    ! [SV463: c > sum_sum_c_d,SV159: set_c] :
      ( ( ! [SY2052: set_Sum_sum_c_d] :
            ( ~ ! [SY2053: c] :
                  ( ~ ( member_c @ SY2053 @ SV159 )
                  | ( member_Sum_sum_c_d @ ( SV463 @ SY2053 ) @ SY2052 ) )
            | ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV463 @ SV159 ) @ SY2052 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1555]) ).

thf(1913,plain,
    ! [SV464: set_Sum_sum_c_d,SV160: sum_sum_c_d > sum_sum_c_c] :
      ( ( ! [SY2054: sum_sum_c_c > $o] :
            ( ( collect_Sum_sum_c_c
              @ ^ [SY2055: sum_sum_c_c] :
                  ~ ( ~ ( member_Sum_sum_c_c @ SY2055 @ ( image_1558941394um_c_c @ SV160 @ SV464 ) )
                    | ~ ( SY2054 @ SY2055 ) ) )
            = ( image_1558941394um_c_c @ SV160
              @ ( collect_Sum_sum_c_d
                @ ^ [SY2056: sum_sum_c_d] :
                    ~ ( ~ ( member_Sum_sum_c_d @ SY2056 @ SV464 )
                      | ~ ( SY2054 @ ( SV160 @ SY2056 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1556]) ).

thf(1914,plain,
    ! [SV465: set_c,SV161: c > sum_sum_c_c] :
      ( ( ! [SY2057: set_Sum_sum_c_c] :
            ( ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV161 @ SV465 ) @ SY2057 )
            = ( ! [SY2058: c] :
                  ( ~ ( member_c @ SY2058 @ SV465 )
                  | ( member_Sum_sum_c_c @ ( SV161 @ SY2058 ) @ SY2057 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1557]) ).

thf(1915,plain,
    ! [SV466: set_re2066790124real_c,SV162: set_re2066790124real_c] :
      ( ( ! [SY2059: real > finite1398487019real_c] :
            ( ~ ( ord_le35002188real_c @ SV162 @ SV466 )
            | ~ ( member1321351885real_c @ SY2059 @ SV162 )
            | ( member1321351885real_c @ SY2059 @ SV466 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1558]) ).

thf(1916,plain,
    ! [SV467: real,SV163: real] :
      ( ( ! [SY2060: real,SY2061: real] :
            ( ( ( set_or656347191t_real @ SV163 @ SV467 )
              = ( set_or656347191t_real @ SY2060 @ SY2061 ) )
            = ( ~ ( ( SV163 != SY2060 )
                  | ( SV467 != SY2061 ) )
              | ~ ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 )
                  | ~ ~ ( ord_less_eq_real @ SY2060 @ SY2061 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1559]) ).

thf(1917,plain,
    ! [SV468: set_re2066790124real_c,SV164: real > finite1398487019real_c] :
      ( ( ~ ( member1321351885real_c @ SV164 @ ( uminus946614837real_c @ SV468 ) )
        | ~ ( member1321351885real_c @ SV164 @ SV468 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1560]) ).

thf(1918,plain,
    ! [SV469: oDE_a_c,SV165: denota231621370t_unit] :
      ( ( ! [SY2062: produc190496183real_c,SY2063: finite1398487019real_c,SY2064: produc190496183real_c] :
            ( ( ( denota310462944_a_b_c @ SV165 @ SV469 @ SY2062 @ SY2063 )
             != SY2064 )
            | ( SY2064
              = ( produc394644079real_c
                @ ( finite557796307c_real
                  @ ^ [SY2065: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2065 ) @ ( denota1293057250_a_b_c @ SV165 @ SV469 ) ) @ SY2063 @ ( produc2010422875real_c @ SY2062 ) ) @ SY2065 ) )
                @ ( finite557796307c_real
                  @ ^ [SY2066: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2066 ) @ ( denota1293057250_a_b_c @ SV165 @ SV469 ) ) @ ( denota1275485728_a_b_c @ SV165 @ SV469 @ SY2063 ) @ ( produc314122909real_c @ SY2062 ) ) @ SY2066 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1561]) ).

thf(1919,plain,
    ! [SV470: set_Pr1389752855real_c,SV166: set_Pr1389752855real_c] :
      ( ( ! [SY2067: produc190496183real_c] :
            ( ~ ( ord_le977353143real_c @ SV166 @ SV470 )
            | ~ ( member1895684704real_c @ SY2067 @ SV166 )
            | ( member1895684704real_c @ SY2067 @ SV470 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1562]) ).

thf(1920,plain,
    ! [SV471: produc190496183real_c,SV167: produc190496183real_c] :
      ( ( ( ( produc2010422875real_c @ SV167 )
         != ( produc2010422875real_c @ SV471 ) )
        | ( ( produc314122909real_c @ SV167 )
         != ( produc314122909real_c @ SV471 ) )
        | ( SV167 = SV471 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1563]) ).

thf(1921,plain,
    ! [SV472: set_c,SV168: c > finite1398487019real_c] :
      ( ( ! [SY2068: finite1398487019real_c > $o] :
            ( ( collec230941376real_c
              @ ^ [SY2069: finite1398487019real_c] :
                  ~ ( ~ ( member1261661570real_c @ SY2069 @ ( image_687300774real_c @ SV168 @ SV472 ) )
                    | ~ ( SY2068 @ SY2069 ) ) )
            = ( image_687300774real_c @ SV168
              @ ( collect_c
                @ ^ [SY2070: c] :
                    ~ ( ~ ( member_c @ SY2070 @ SV472 )
                      | ~ ( SY2068 @ ( SV168 @ SY2070 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1564]) ).

thf(1922,plain,
    ! [SV473: produc190496183real_c,SV169: produc190496183real_c] :
      ( ( ! [SY2071: set_Sum_sum_c_c] :
            ( ~ ( denota1997846518gree_c @ SV169 @ SV473 @ SY2071 )
            | ( denota1997846518gree_c @ SV473 @ SV169 @ SY2071 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1565]) ).

thf(1923,plain,
    ! [SV474: sum_sum_c_d > sum_sum_c_d,SV170: set_Sum_sum_c_d] :
      ( ( ! [SY2072: set_Sum_sum_c_d] :
            ( ~ ! [SY2073: sum_sum_c_d] :
                  ( ~ ( member_Sum_sum_c_d @ SY2073 @ SV170 )
                  | ( member_Sum_sum_c_d @ ( SV474 @ SY2073 ) @ SY2072 ) )
            | ( ord_le764260924um_c_d @ ( image_1567202899um_c_d @ SV474 @ SV170 ) @ SY2072 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1566]) ).

thf(1924,plain,
    ! [SV475: set_Sum_sum_c_d,SV171: sum_sum_c_d > c] :
      ( ( ! [SY2074: sum_sum_c_d > set_c,SY2075: sum_sum_c_d] :
            ( ~ ( member_Sum_sum_c_d_c @ SV171 @ ( pi_Sum_sum_c_d_c @ SV475 @ SY2074 ) )
            | ~ ( member_Sum_sum_c_d @ SY2075 @ SV475 )
            | ( member_c @ ( SV171 @ SY2075 ) @ ( SY2074 @ SY2075 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1567]) ).

thf(1925,plain,
    ! [SV476: set_c,SV172: set_c] :
      ( ( ! [SY2076: c] :
            ( ~ ( ord_less_eq_set_c @ SV172 @ SV476 )
            | ~ ( member_c @ SY2076 @ SV172 )
            | ( member_c @ SY2076 @ SV476 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1568]) ).

thf(1926,plain,
    ! [SV173: real] :
      ( ( ( ~ ( ord_less_eq_real @ zero_zero_real @ SV173 ) )
        = $true )
      | ( ( ~ ( ord_less_eq_real @ SV173 @ t )
          | ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ SV173 ) ) @ ( denota968303861_a_b_c @ i @ phi ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1569]) ).

thf(1927,plain,
    ! [SV477: set_Sum_sum_c_c,SV174: sum_sum_c_c] :
      ( ( ! [SY2077: sum_sum_c_c > sum_sum_c_d] :
            ( ~ ( member_Sum_sum_c_c @ SV174 @ SV477 )
            | ( member_Sum_sum_c_d @ ( SY2077 @ SV174 ) @ ( image_675141842um_c_d @ SY2077 @ SV477 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1570]) ).

thf(1928,plain,
    ! [SV478: sum_sum_c_c > sum_sum_c_c,SV175: set_Sum_sum_c_c] :
      ( ( ! [SY2078: set_Sum_sum_c_c] :
            ( ~ ! [SY2079: sum_sum_c_c] :
                  ( ~ ( member_Sum_sum_c_c @ SY2079 @ SV175 )
                  | ( member_Sum_sum_c_c @ ( SV478 @ SY2079 ) @ SY2078 ) )
            | ( member1326674048um_c_c @ SV478
              @ ( pi_Sum253006871um_c_c @ SV175
                @ ^ [SX3: sum_sum_c_c] : SY2078 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1571]) ).

thf(1929,plain,
    ! [SV479: set_Sum_sum_c_d,SV176: sum_sum_c_d] :
      ( ( ~ ( member_Sum_sum_c_d @ SV176 @ ( uminus373867045um_c_d @ SV479 ) )
        | ~ ( member_Sum_sum_c_d @ SV176 @ SV479 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1572]) ).

thf(1930,plain,
    ! [SV480: real > finite1398487019real_c,SV177: set_real] :
      ( ( ! [SY2081: real > set_Fi1407883041real_c] :
            ( ~ ! [SY2082: real] :
                  ( ~ ( member_real @ SY2082 @ SV177 )
                  | ( member1261661570real_c @ ( SV480 @ SY2082 ) @ ( SY2081 @ SY2082 ) ) )
            | ( member1321351885real_c @ SV480 @ ( pi_rea1111636068real_c @ SV177 @ SY2081 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1573]) ).

thf(1931,plain,
    ! [SV481: produc190496183real_c] :
      ( ( ( denota1997846518gree_c @ SV481 )
        = ( ^ [SY2083: produc190496183real_c,SY2084: set_Sum_sum_c_c] :
              ~ ( ~ ! [SY2085: c] :
                      ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2085 ) @ SY2084 )
                      | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2085 )
                        = ( finite772340578real_c @ ( produc2010422875real_c @ SY2083 ) @ SY2085 ) ) )
                | ~ ! [SY2086: c] :
                      ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2086 ) @ SY2084 )
                      | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2086 )
                        = ( finite772340578real_c @ ( produc314122909real_c @ SY2083 ) @ SY2086 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1574]) ).

thf(1932,plain,
    ! [SV482: set_Sum_sum_c_c,SV179: sum_sum_c_c] :
      ( ( ~ ( member_Sum_sum_c_c @ SV179 @ ( uminus1381786404um_c_c @ SV482 ) )
        | ~ ( member_Sum_sum_c_c @ SV179 @ SV482 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1576]) ).

thf(1933,plain,
    ( ( ~ ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
          | ~ ( ~ ( ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
                  | ( ( finite772340578real_c
                      @ ( produc2010422875real_c
                        @ ( denota161327353_a_b_c @ i @ oDEa
                          @ ( produc394644079real_c
                            @ ( finite557796307c_real
                              @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                            @ bb )
                          @ ( finite557796307c_real
                            @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
                      @ i2 )
                    = ( finite772340578real_c @ ( sol @ x ) @ i2 ) ) )
              | ~ ( ~ ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
                  | ( ( finite772340578real_c
                      @ ( produc2010422875real_c
                        @ ( denota161327353_a_b_c @ i @ oDEa
                          @ ( produc394644079real_c
                            @ ( finite557796307c_real
                              @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                            @ bb )
                          @ ( finite557796307c_real
                            @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
                      @ i2 )
                    = ( finite772340578real_c @ ab @ i2 ) ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1577]) ).

thf(1934,plain,
    ( ( ~ ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
          | ~ ( ~ ( ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
                  | ( ( finite772340578real_c
                      @ ( produc2010422875real_c
                        @ ( denota161327353_a_b_c @ i @ oDEa
                          @ ( produc394644079real_c
                            @ ( finite557796307c_real
                              @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                            @ bb )
                          @ ( finite557796307c_real
                            @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
                      @ i2 )
                    = ( finite772340578real_c @ ( sol @ x ) @ i2 ) ) )
              | ~ ( ~ ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
                  | ( ( finite772340578real_c
                      @ ( produc2010422875real_c
                        @ ( denota161327353_a_b_c @ i @ oDEa
                          @ ( produc394644079real_c
                            @ ( finite557796307c_real
                              @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                            @ bb )
                          @ ( finite557796307c_real
                            @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
                      @ i2 )
                    = ( finite772340578real_c @ ab @ i2 ) ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1577]) ).

thf(1935,plain,
    ! [SV483: c > c,SV180: set_c] :
      ( ( ! [SY2087: c > set_c] :
            ( ~ ! [SY2088: c] :
                  ( ~ ( member_c @ SY2088 @ SV180 )
                  | ( member_c @ ( SV483 @ SY2088 ) @ ( SY2087 @ SY2088 ) ) )
            | ( member_c_c @ SV483 @ ( pi_c_c @ SV180 @ SY2087 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1578]) ).

thf(1936,plain,
    ! [SV484: c > sum_sum_c_c,SV181: set_Sum_sum_c_c] :
      ( ( ! [SY2089: set_c] :
            ( ~ ( ord_le1772180283um_c_c @ SV181 @ ( image_c_Sum_sum_c_c @ SV484 @ SY2089 ) )
            | ~ ! [SY2090: set_c] :
                  ( ~ ( ord_less_eq_set_c @ SY2090 @ SY2089 )
                  | ( SV181
                   != ( image_c_Sum_sum_c_c @ SV484 @ SY2090 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1579]) ).

thf(1937,plain,
    ! [SV485: sum_sum_c_d > sum_sum_c_c,SV182: set_Sum_sum_c_d] :
      ( ( ! [SY2091: set_Sum_sum_c_c] :
            ( ~ ! [SY2092: sum_sum_c_d] :
                  ( ~ ( member_Sum_sum_c_d @ SY2092 @ SV182 )
                  | ( member_Sum_sum_c_c @ ( SV485 @ SY2092 ) @ SY2091 ) )
            | ( member71251457um_c_c @ SV485
              @ ( pi_Sum1145067928um_c_c @ SV182
                @ ^ [SX3: sum_sum_c_d] : SY2091 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1580]) ).

thf(1938,plain,
    ! [SV486: set_re2066790124real_c,SV183: set_re2066790124real_c] :
      ( ( ! [SY2094: real > finite1398487019real_c] :
            ( ~ ( ord_le35002188real_c @ SV183 @ SV486 )
            | ~ ( member1321351885real_c @ SY2094 @ SV183 )
            | ( member1321351885real_c @ SY2094 @ SV486 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1581]) ).

thf(1939,plain,
    ! [SV487: finite1398487019real_c,SV184: finite1398487019real_c] :
      ( ( ! [SY2095: finite1398487019real_c,SY2096: finite1398487019real_c] :
            ( ( ( produc394644079real_c @ SV184 @ SV487 )
              = ( produc394644079real_c @ SY2095 @ SY2096 ) )
            = ( ~ ( ( SV184 != SY2095 )
                  | ( SV487 != SY2096 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1582]) ).

thf(1940,plain,
    ! [SV488: finite1398487019real_c,SV185: finite1398487019real_c] :
      ( ( ! [SY2097: finite1398487019real_c] :
            ( ( ( produc314122909real_c @ ( produc394644079real_c @ SV185 @ SV488 ) )
             != SY2097 )
            | ( SV488 = SY2097 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1583]) ).

thf(1941,plain,
    ! [SV489: sum_sum_c_c > sum_sum_c_d,SV186: set_Sum_sum_c_c] :
      ( ( ! [SY2098: sum_sum_c_c > set_Sum_sum_c_d] :
            ( ~ ! [SY2099: sum_sum_c_c] :
                  ( ~ ( member_Sum_sum_c_c @ SY2099 @ SV186 )
                  | ( member_Sum_sum_c_d @ ( SV489 @ SY2099 ) @ ( SY2098 @ SY2099 ) ) )
            | ( member318754689um_c_d @ SV489 @ ( pi_Sum261268376um_c_d @ SV186 @ SY2098 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1584]) ).

thf(1942,plain,
    ! [SV490: real,SV187: real] :
      ( ( ~ ( ord_less_eq_real @ SV187 @ SV490 )
        | ( ord_less_eq_real @ ( uminus_uminus_real @ SV490 ) @ ( uminus_uminus_real @ SV187 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1585]) ).

thf(1943,plain,
    ! [SV491: oDE_a_c,SV188: denota231621370t_unit] :
      ( ( ! [SY2100: produc190496183real_c,SY2101: finite1398487019real_c] :
            ~ ( ~ ( denota1997846518gree_c @ ( denota161327353_a_b_c @ SV188 @ SV491 @ SY2100 @ SY2101 ) @ SY2100 @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ SV188 @ SV491 ) ) )
              | ~ ( denota1997846518gree_c @ ( denota161327353_a_b_c @ SV188 @ SV491 @ SY2100 @ SY2101 ) @ ( denota1896987029_a_b_c @ SV188 @ SV491 @ SY2101 ) @ ( denota1293057250_a_b_c @ SV188 @ SV491 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1586]) ).

thf(1944,plain,
    ! [SV492: denota231621370t_unit,SV189: c] :
      ( ( ! [SY2102: oDE_a_c] :
            ( ~ ( member_c @ SV189 @ ( denota540094197_a_b_c @ SV492 @ SY2102 ) )
            | ( member_c @ SV189 @ ( static_FVO_a_c @ SY2102 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1587]) ).

thf(1945,plain,
    ! [SV493: set_re2066790124real_c,SV190: real > finite1398487019real_c] :
      ( ( ~ ~ ( member1321351885real_c @ SV190 @ SV493 )
        | ( member1321351885real_c @ SV190 @ ( uminus946614837real_c @ SV493 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1588]) ).

thf(1946,plain,
    ! [SV494: set_Sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ SV494 )
        = ( ^ [SY2103: set_Sum_sum_c_c] :
            ! [SY2104: sum_sum_c_c] :
              ( ~ ( member_Sum_sum_c_c @ SY2104 @ SV494 )
              | ( member_Sum_sum_c_c @ SY2104 @ SY2103 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1589]) ).

thf(1947,plain,
    ! [SV495: d,SV192: c] :
      ( ( ( sum_Inl_c_d @ SV192 )
       != ( sum_Inr_d_c @ SV495 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1591]) ).

thf(1948,plain,
    ! [SV496: set_Sum_sum_c_c,SV193: sum_sum_c_c] :
      ( ( ! [SY2105: c,SY2106: sum_sum_c_c > c] :
            ( ~ ( member_Sum_sum_c_c @ SV193 @ SV496 )
            | ( SY2105
             != ( SY2106 @ SV193 ) )
            | ( member_c @ SY2105 @ ( image_Sum_sum_c_c_c @ SY2106 @ SV496 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1592]) ).

thf(1949,plain,
    ! [SV497: sum_sum_c_c > c,SV194: set_Sum_sum_c_c] :
      ( ( ! [SY2107: set_c] :
            ( ~ ! [SY2108: sum_sum_c_c] :
                  ( ~ ( member_Sum_sum_c_c @ SY2108 @ SV194 )
                  | ( member_c @ ( SV497 @ SY2108 ) @ SY2107 ) )
            | ( ord_less_eq_set_c @ ( image_Sum_sum_c_c_c @ SV497 @ SV194 ) @ SY2107 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1593]) ).

thf(1950,plain,
    ! [SV498: finite1398487019real_c,SV195: finite1398487019real_c] :
      ( ( ! [SY2109: finite1398487019real_c,SY2110: finite1398487019real_c] :
            ( ~ ( ord_le775706699real_c @ SV195 @ SV498 )
            | ~ ( ord_le775706699real_c @ SY2109 @ SY2110 )
            | ( ord_le850691415real_c @ ( produc394644079real_c @ SV195 @ SY2109 ) @ ( produc394644079real_c @ SV498 @ SY2110 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1594]) ).

thf(1951,plain,
    ! [SV499: sum_sum_c_d > sum_sum_c_c,SV196: sum_sum_c_c] :
      ( ( ! [SY2111: set_Sum_sum_c_d] :
            ( ~ ( member_Sum_sum_c_c @ SV196 @ ( image_1558941394um_c_c @ SV499 @ SY2111 ) )
            | ~ ! [SY2112: sum_sum_c_d] :
                  ( ( SV196
                   != ( SV499 @ SY2112 ) )
                  | ~ ( member_Sum_sum_c_d @ SY2112 @ SY2111 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1595]) ).

thf(1952,plain,
    ! [SV500: c > real > finite1398487019real_c,SV197: set_c] :
      ( ( ! [SY2113: c > set_re2066790124real_c] :
            ( ~ ! [SY2114: c] :
                  ( ~ ( member_c @ SY2114 @ SV197 )
                  | ( member1321351885real_c @ ( SV500 @ SY2114 ) @ ( SY2113 @ SY2114 ) ) )
            | ( member469531344real_c @ SV500 @ ( pi_c_r41638571real_c @ SV197 @ SY2113 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1596]) ).

thf(1953,plain,
    ! [SV501: set_Sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ SV501 )
        = ( ^ [SY2115: set_Sum_sum_c_c] :
            ! [SY2116: sum_sum_c_c] :
              ( ~ ( member_Sum_sum_c_c @ SY2116 @ SV501 )
              | ( member_Sum_sum_c_c @ SY2116 @ SY2115 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1597]) ).

thf(1954,plain,
    ! [SV502: set_c,SV199: set_c] :
      ( ( ~ ! [SY2117: c] :
              ( ~ ( member_c @ SY2117 @ SV199 )
              | ( member_c @ SY2117 @ SV502 ) )
        | ( ord_less_eq_set_c @ SV199 @ SV502 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1599]) ).

thf(1955,plain,
    ! [SV503: set_Sum_sum_c_d,SV200: sum_sum_c_d > c] :
      ( ( ! [SY2118: sum_sum_c_d > set_c,SY2119: sum_sum_c_d] :
            ( ~ ( member_Sum_sum_c_d_c @ SV200 @ ( pi_Sum_sum_c_d_c @ SV503 @ SY2118 ) )
            | ~ ~ ( member_c @ ( SV200 @ SY2119 ) @ ( SY2118 @ SY2119 ) )
            | ~ ( member_Sum_sum_c_d @ SY2119 @ SV503 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1600]) ).

thf(1956,plain,
    ! [SV504: set_Sum_sum_c_c,SV201: set_Sum_sum_c_c] :
      ( ( ~ ( ord_le1772180283um_c_c @ SV201 @ ( uminus1381786404um_c_c @ SV504 ) )
        | ( ord_le1772180283um_c_c @ SV504 @ ( uminus1381786404um_c_c @ SV201 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1601]) ).

thf(1957,plain,
    ! [SV505: set_Pr1389752855real_c,SV202: produc190496183real_c] :
      ( ( ~ ( member1895684704real_c @ SV202 @ ( uminus232257166real_c @ SV505 ) )
        | ~ ( member1895684704real_c @ SV202 @ SV505 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1602]) ).

thf(1958,plain,
    ! [SV506: set_real,SV203: real > finite1398487019real_c] :
      ( ( ! [SY2120: real > set_Fi1407883041real_c,SY2121: real] :
            ( ~ ( member1321351885real_c @ SV203 @ ( pi_rea1111636068real_c @ SV506 @ SY2120 ) )
            | ~ ( member_real @ SY2121 @ SV506 )
            | ( member1261661570real_c @ ( SV203 @ SY2121 ) @ ( SY2120 @ SY2121 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1603]) ).

thf(1959,plain,
    ! [SV507: set_Sum_sum_c_c,SV204: set_Sum_sum_c_c] :
      ( ( ! [SY2122: produc190496183real_c,SY2123: produc190496183real_c] :
            ( ~ ( ord_le1772180283um_c_c @ SV204 @ SV507 )
            | ~ ( denota1997846518gree_c @ SY2122 @ SY2123 @ SV507 )
            | ( denota1997846518gree_c @ SY2122 @ SY2123 @ SV204 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1604]) ).

thf(1960,plain,
    ! [SV508: set_c,SV205: c > real > finite1398487019real_c] :
      ( ( ! [SY2124: c > set_re2066790124real_c,SY2125: c] :
            ( ~ ( member469531344real_c @ SV205 @ ( pi_c_r41638571real_c @ SV508 @ SY2124 ) )
            | ~ ( member_c @ SY2125 @ SV508 )
            | ( member1321351885real_c @ ( SV205 @ SY2125 ) @ ( SY2124 @ SY2125 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1605]) ).

thf(1961,plain,
    ! [SV509: set_c,SV206: c] :
      ( ( ! [SY2126: sum_sum_c_c,SY2127: c > sum_sum_c_c] :
            ( ~ ( member_c @ SV206 @ SV509 )
            | ( SY2126
             != ( SY2127 @ SV206 ) )
            | ( member_Sum_sum_c_c @ SY2126 @ ( image_c_Sum_sum_c_c @ SY2127 @ SV509 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1606]) ).

thf(1962,plain,
    ! [SV510: finite1398487019real_c > $o,SV207: finite1398487019real_c > $o] :
      ( ( ~ ! [SY2128: finite1398487019real_c] :
              ( ~ ( SV207 @ SY2128 )
              | ( SV510 @ SY2128 ) )
        | ( ord_le1327118209real_c @ ( collec230941376real_c @ SV207 ) @ ( collec230941376real_c @ SV510 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1607]) ).

thf(1963,plain,
    ! [SV511: sum_sum_c_d > sum_sum_c_d,SV208: sum_sum_c_d] :
      ( ( ! [SY2129: sum_sum_c_d,SY2130: set_Sum_sum_c_d] :
            ( ( SV208
             != ( SV511 @ SY2129 ) )
            | ~ ( member_Sum_sum_c_d @ SY2129 @ SY2130 )
            | ( member_Sum_sum_c_d @ SV208 @ ( image_1567202899um_c_d @ SV511 @ SY2130 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1608]) ).

thf(1964,plain,
    ! [SV512: sum_sum_c_c > c,SV209: set_Sum_sum_c_c] :
      ( ( ! [SY2131: set_c] :
            ( ~ ! [SY2132: sum_sum_c_c] :
                  ( ~ ( member_Sum_sum_c_c @ SY2132 @ SV209 )
                  | ( member_c @ ( SV512 @ SY2132 ) @ SY2131 ) )
            | ( member_Sum_sum_c_c_c @ SV512
              @ ( pi_Sum_sum_c_c_c @ SV209
                @ ^ [SX3: sum_sum_c_c] : SY2131 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1609]) ).

thf(1965,plain,
    ! [SV513: set_c,SV210: c > c] :
      ( ( ! [SY2134: c > $o] :
            ( ( collect_c
              @ ^ [SY2135: c] :
                  ~ ( ~ ( member_c @ SY2135 @ ( image_c_c @ SV210 @ SV513 ) )
                    | ~ ( SY2134 @ SY2135 ) ) )
            = ( image_c_c @ SV210
              @ ( collect_c
                @ ^ [SY2136: c] :
                    ~ ( ~ ( member_c @ SY2136 @ SV513 )
                      | ~ ( SY2134 @ ( SV210 @ SY2136 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1610]) ).

thf(1966,plain,
    ! [SV514: set_c] :
      ( ( ( ord_less_eq_set_c @ SV514 )
        = ( ^ [SY2137: set_c] :
            ! [SY2138: c] :
              ( ~ ( member_c @ SY2138 @ SV514 )
              | ( member_c @ SY2138 @ SY2137 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1611]) ).

thf(1967,plain,
    ! [SV515: real > finite1398487019real_c,SV212: real > finite1398487019real_c] :
      ( ( ! [SY2139: real > finite1398487019real_c] :
            ( ( member1321351885real_c @ SV212 @ ( set_or1308937537real_c @ SV515 @ SY2139 ) )
            = ( ~ ( ~ ( ord_le584953750real_c @ SV515 @ SV212 )
                  | ~ ( ord_le584953750real_c @ SV212 @ SY2139 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1613]) ).

thf(1968,plain,
    ! [SV516: set_c,SV213: c > sum_sum_c_d] :
      ( ( ! [SY2140: sum_sum_c_d > $o] :
            ( ~ ! [SY2141: sum_sum_c_d] :
                  ( ~ ( member_Sum_sum_c_d @ SY2141 @ ( image_c_Sum_sum_c_d @ SV213 @ SV516 ) )
                  | ( SY2140 @ SY2141 ) )
            | ! [SY2142: c] :
                ( ~ ( member_c @ SY2142 @ SV516 )
                | ( SY2140 @ ( SV213 @ SY2142 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1614]) ).

thf(1969,plain,
    ! [SV517: c > sum_sum_c_c,SV214: sum_sum_c_c] :
      ( ( ! [SY2143: set_c] :
            ( ( member_Sum_sum_c_c @ SV214 @ ( image_c_Sum_sum_c_c @ SV517 @ SY2143 ) )
            = ( ~ ! [SY2144: c] :
                    ~ ~ ( ~ ( member_c @ SY2144 @ SY2143 )
                        | ( SV214
                         != ( SV517 @ SY2144 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1615]) ).

thf(1970,plain,
    ! [SV518: set_c,SV215: c > c] :
      ( ( ! [SY2145: c > set_c,SY2146: c] :
            ( ~ ( member_c_c @ SV215 @ ( pi_c_c @ SV518 @ SY2145 ) )
            | ~ ( member_c @ SY2146 @ SV518 )
            | ( member_c @ ( SV215 @ SY2146 ) @ ( SY2145 @ SY2146 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1616]) ).

thf(1971,plain,
    ( ( ( ~ ( ~ ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
            | ~ ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) ) ) )
      = $false )
    | ( ( ~ ( ~ ( ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
                | ( ( finite772340578real_c
                    @ ( produc2010422875real_c
                      @ ( denota161327353_a_b_c @ i @ oDEa
                        @ ( produc394644079real_c
                          @ ( finite557796307c_real
                            @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                          @ bb )
                        @ ( finite557796307c_real
                          @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
                    @ i2 )
                  = ( finite772340578real_c @ ( sol @ zero_zero_real ) @ i2 ) ) )
            | ~ ( ~ ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
                | ( ( finite772340578real_c
                    @ ( produc2010422875real_c
                      @ ( denota161327353_a_b_c @ i @ oDEa
                        @ ( produc394644079real_c
                          @ ( finite557796307c_real
                            @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                          @ bb )
                        @ ( finite557796307c_real
                          @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
                    @ i2 )
                  = ( finite772340578real_c @ ab @ i2 ) ) ) ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1617]) ).

thf(1972,plain,
    ! [SV519: sum_sum_c_c > sum_sum_c_c,SV216: set_Sum_sum_c_c] :
      ( ( ! [SY2147: sum_sum_c_c > set_Sum_sum_c_c] :
            ( ~ ! [SY2148: sum_sum_c_c] :
                  ( ~ ( member_Sum_sum_c_c @ SY2148 @ SV216 )
                  | ( member_Sum_sum_c_c @ ( SV519 @ SY2148 ) @ ( SY2147 @ SY2148 ) ) )
            | ( member1326674048um_c_c @ SV519 @ ( pi_Sum253006871um_c_c @ SV216 @ SY2147 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1618]) ).

thf(1973,plain,
    ! [SV520: set_c,SV217: c] :
      ( ( ! [SY2149: c > c] :
            ( ~ ( member_c @ SV217 @ SV520 )
            | ( member_c @ ( SY2149 @ SV217 ) @ ( image_c_c @ SY2149 @ SV520 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1619]) ).

thf(1974,plain,
    ! [SV521: real > finite1398487019real_c,SV218: set_real] :
      ( ( ! [SY2150: real > set_Fi1407883041real_c] :
            ( ~ ! [SY2151: real] :
                  ( ~ ( member_real @ SY2151 @ SV218 )
                  | ( member1261661570real_c @ ( SV521 @ SY2151 ) @ ( SY2150 @ SY2151 ) ) )
            | ( member1321351885real_c @ SV521 @ ( pi_rea1111636068real_c @ SV218 @ SY2150 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1620]) ).

thf(1975,plain,
    ! [SV522: sum_sum_c_d > sum_sum_c_c,SV219: sum_sum_c_c] :
      ( ( ! [SY2152: sum_sum_c_d,SY2153: set_Sum_sum_c_d] :
            ( ( SV219
             != ( SV522 @ SY2152 ) )
            | ~ ( member_Sum_sum_c_d @ SY2152 @ SY2153 )
            | ( member_Sum_sum_c_c @ SV219 @ ( image_1558941394um_c_c @ SV522 @ SY2153 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1621]) ).

thf(1976,plain,
    ! [SV523: set_Sum_sum_c_c,SV220: sum_sum_c_c] :
      ( ( ! [SY2154: sum_sum_c_c,SY2155: sum_sum_c_c > sum_sum_c_c] :
            ( ~ ( member_Sum_sum_c_c @ SV220 @ SV523 )
            | ( SY2154
             != ( SY2155 @ SV220 ) )
            | ( member_Sum_sum_c_c @ SY2154 @ ( image_666880337um_c_c @ SY2155 @ SV523 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1622]) ).

thf(1977,plain,
    ! [SV524: set_c,SV221: set_c] :
      ( ( ! [SY2156: c > sum_sum_c_c,SY2157: c > sum_sum_c_c] :
            ( ( SV221 != SV524 )
            | ~ ! [SY2158: c] :
                  ( ~ ( member_c @ SY2158 @ SV524 )
                  | ( ( SY2156 @ SY2158 )
                    = ( SY2157 @ SY2158 ) ) )
            | ( ( image_c_Sum_sum_c_c @ SY2156 @ SV221 )
              = ( image_c_Sum_sum_c_c @ SY2157 @ SV524 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1623]) ).

thf(1978,plain,
    ! [SV525: set_c,SV222: set_c] :
      ( ( ! [SY2159: finite1398487019real_c,SY2160: finite1398487019real_c] :
            ( ~ ( ord_less_eq_set_c @ SV222 @ SV525 )
            | ~ ( denota256060419gree_c @ SY2159 @ SY2160 @ SV525 )
            | ( denota256060419gree_c @ SY2159 @ SY2160 @ SV222 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1624]) ).

thf(1979,plain,
    ! [SV526: c > sum_sum_c_c,SV223: sum_sum_c_c] :
      ( ( ! [SY2161: set_c] :
            ( ~ ( member_Sum_sum_c_c @ SV223 @ ( image_c_Sum_sum_c_c @ SV526 @ SY2161 ) )
            | ~ ! [SY2162: c] :
                  ( ( SV223
                   != ( SV526 @ SY2162 ) )
                  | ~ ( member_c @ SY2162 @ SY2161 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1625]) ).

thf(1980,plain,
    ! [SV527: set_c,SV224: c] :
      ( ( ! [SY2163: c > sum_sum_c_c] :
            ( ~ ( member_c @ SV224 @ SV527 )
            | ( member_Sum_sum_c_c @ ( SY2163 @ SV224 ) @ ( image_c_Sum_sum_c_c @ SY2163 @ SV527 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1626]) ).

thf(1981,plain,
    ! [SV528: set_Sum_sum_c_c,SV225: sum_sum_c_c > sum_sum_c_c] :
      ( ( ! [SY2164: sum_sum_c_c > set_Sum_sum_c_c,SY2165: sum_sum_c_c] :
            ( ~ ( member1326674048um_c_c @ SV225 @ ( pi_Sum253006871um_c_c @ SV528 @ SY2164 ) )
            | ~ ( member_Sum_sum_c_c @ SY2165 @ SV528 )
            | ( member_Sum_sum_c_c @ ( SV225 @ SY2165 ) @ ( SY2164 @ SY2165 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1627]) ).

thf(1982,plain,
    ! [SV529: set_Sum_sum_c_c,SV226: set_Sum_sum_c_c] :
      ( ( ! [SY2166: sum_sum_c_c] :
            ( ~ ( ord_le1772180283um_c_c @ SV226 @ SV529 )
            | ~ ( member_Sum_sum_c_c @ SY2166 @ SV226 )
            | ( member_Sum_sum_c_c @ SY2166 @ SV529 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1628]) ).

thf(1983,plain,
    ! [SV530: real,SV227: real] :
      ( ( ! [SY2167: real,SY2168: real] :
            ( ( ord_le1342644953l_real @ ( produc705216881l_real @ SV227 @ SV530 ) @ ( produc705216881l_real @ SY2167 @ SY2168 ) )
            = ( ~ ( ~ ( ord_less_eq_real @ SV227 @ SY2167 )
                  | ~ ( ord_less_eq_real @ SV530 @ SY2168 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1629]) ).

thf(1984,plain,
    ! [SV531: set_c,SV228: c] :
      ( ( ~ ~ ( member_c @ SV228 @ SV531 )
        | ( member_c @ SV228 @ ( uminus_uminus_set_c @ SV531 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1630]) ).

thf(1985,plain,
    ! [SV532: real,SV229: real] :
      ( ( ! [SY2169: real,SY2170: real] :
            ( ~ ( ord_less_eq_real @ SV229 @ SV532 )
            | ~ ( ord_less_eq_real @ SY2169 @ SY2170 )
            | ( ord_le1342644953l_real @ ( produc705216881l_real @ SV229 @ SY2169 ) @ ( produc705216881l_real @ SV532 @ SY2170 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1631]) ).

thf(1986,plain,
    ! [SV533: c > sum_sum_c_d,SV230: set_Sum_sum_c_d] :
      ( ( ! [SY2171: set_c] :
            ( ~ ( ord_le764260924um_c_d @ SV230 @ ( image_c_Sum_sum_c_d @ SV533 @ SY2171 ) )
            | ~ ! [SY2172: set_c] :
                  ( ~ ( ord_less_eq_set_c @ SY2172 @ SY2171 )
                  | ( SV230
                   != ( image_c_Sum_sum_c_d @ SV533 @ SY2172 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1632]) ).

thf(1987,plain,
    ! [SV534: set_Sum_sum_c_d] :
      ( ( ( ord_le764260924um_c_d @ SV534 )
        = ( ^ [SY2173: set_Sum_sum_c_d] :
            ! [SY2174: sum_sum_c_d] :
              ( ~ ( member_Sum_sum_c_d @ SY2174 @ SV534 )
              | ( member_Sum_sum_c_d @ SY2174 @ SY2173 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1633]) ).

thf(1988,plain,
    ! [SV535: set_Sum_sum_c_c,SV232: sum_sum_c_c > c] :
      ( ( ! [SY2175: c > $o] :
            ( ( collect_c
              @ ^ [SY2176: c] :
                  ~ ( ~ ( member_c @ SY2176 @ ( image_Sum_sum_c_c_c @ SV232 @ SV535 ) )
                    | ~ ( SY2175 @ SY2176 ) ) )
            = ( image_Sum_sum_c_c_c @ SV232
              @ ( collect_Sum_sum_c_c
                @ ^ [SY2177: sum_sum_c_c] :
                    ~ ( ~ ( member_Sum_sum_c_c @ SY2177 @ SV535 )
                      | ~ ( SY2175 @ ( SV232 @ SY2177 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1635]) ).

thf(1989,plain,
    ! [SV536: set_c] :
      ( ( ( ord_less_eq_set_c @ SV536 )
        = ( ^ [SY2178: set_c] :
            ! [SY2179: c] :
              ( ~ ( member_c @ SY2179 @ SV536 )
              | ( member_c @ SY2179 @ SY2178 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1636]) ).

thf(1990,plain,
    ! [SV537: ( real > finite1398487019real_c ) > c,SV234: c] :
      ( ( ! [SY2180: set_re2066790124real_c] :
            ( ~ ( member_c @ SV234 @ ( image_266490115al_c_c @ SV537 @ SY2180 ) )
            | ~ ! [SY2181: real > finite1398487019real_c] :
                  ( ( SV234
                   != ( SV537 @ SY2181 ) )
                  | ~ ( member1321351885real_c @ SY2181 @ SY2180 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1638]) ).

thf(1991,plain,
    ! [SV538: set_c,SV235: c > sum_sum_c_c] :
      ( ( ! [SY2182: sum_sum_c_c > $o] :
            ( ~ ~ ! [SY2183: sum_sum_c_c] :
                    ~ ~ ( ~ ( member_Sum_sum_c_c @ SY2183 @ ( image_c_Sum_sum_c_c @ SV235 @ SV538 ) )
                        | ~ ( SY2182 @ SY2183 ) )
            | ~ ! [SY2184: c] :
                  ~ ~ ( ~ ( member_c @ SY2184 @ SV538 )
                      | ~ ( SY2182 @ ( SV235 @ SY2184 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1639]) ).

thf(1992,plain,
    ! [SV539: finite1398487019real_c > $o,SV236: set_Fi1407883041real_c] :
      ( ( ord_le1327118209real_c
        @ ( collec230941376real_c
          @ ^ [SY2185: finite1398487019real_c] :
              ~ ( ~ ( member1261661570real_c @ SY2185 @ SV236 )
                | ~ ( SV539 @ SY2185 ) ) )
        @ SV236 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1640]) ).

thf(1993,plain,
    ! [SV540: c > sum_sum_c_d,SV237: set_c] :
      ( ( ! [SY2186: c > set_Sum_sum_c_d] :
            ( ~ ! [SY2187: c] :
                  ( ~ ( member_c @ SY2187 @ SV237 )
                  | ( member_Sum_sum_c_d @ ( SV540 @ SY2187 ) @ ( SY2186 @ SY2187 ) ) )
            | ( member_c_Sum_sum_c_d @ SV540 @ ( pi_c_Sum_sum_c_d @ SV237 @ SY2186 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1641]) ).

thf(1994,plain,
    ! [SV541: sum_sum_c_c > c,SV238: c] :
      ( ( ! [SY2188: sum_sum_c_c,SY2189: set_Sum_sum_c_c] :
            ( ( SV238
             != ( SV541 @ SY2188 ) )
            | ~ ( member_Sum_sum_c_c @ SY2188 @ SY2189 )
            | ( member_c @ SV238 @ ( image_Sum_sum_c_c_c @ SV541 @ SY2189 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1642]) ).

thf(1995,plain,
    ! [SV542: c > real > finite1398487019real_c,SV239: real > finite1398487019real_c] :
      ( ( ! [SY2190: c,SY2191: set_c] :
            ( ( SV239
             != ( SV542 @ SY2190 ) )
            | ~ ( member_c @ SY2190 @ SY2191 )
            | ( member1321351885real_c @ SV239 @ ( image_1226855921real_c @ SV542 @ SY2191 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1643]) ).

thf(1996,plain,
    ! [SV543: set_Sum_sum_c_d,SV240: sum_sum_c_d > sum_sum_c_c] :
      ( ( ! [SY2192: sum_sum_c_d > set_Sum_sum_c_c,SY2193: sum_sum_c_d] :
            ( ~ ( member71251457um_c_c @ SV240 @ ( pi_Sum1145067928um_c_c @ SV543 @ SY2192 ) )
            | ~ ( member_Sum_sum_c_d @ SY2193 @ SV543 )
            | ( member_Sum_sum_c_c @ ( SV240 @ SY2193 ) @ ( SY2192 @ SY2193 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1644]) ).

thf(1997,plain,
    ! [SV544: c > sum_sum_c_d,SV241: set_c] :
      ( ( ! [SY2194: set_Sum_sum_c_d] :
            ( ~ ! [SY2195: c] :
                  ( ~ ( member_c @ SY2195 @ SV241 )
                  | ( member_Sum_sum_c_d @ ( SV544 @ SY2195 ) @ SY2194 ) )
            | ( member_c_Sum_sum_c_d @ SV544
              @ ( pi_c_Sum_sum_c_d @ SV241
                @ ^ [SX3: c] : SY2194 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1645]) ).

thf(1998,plain,
    ! [SV545: set_Sum_sum_c_d,SV242: sum_sum_c_d] :
      ( ( ! [SY2197: c,SY2198: sum_sum_c_d > c] :
            ( ~ ( member_Sum_sum_c_d @ SV242 @ SV545 )
            | ( SY2197
             != ( SY2198 @ SV242 ) )
            | ( member_c @ SY2197 @ ( image_Sum_sum_c_d_c @ SY2198 @ SV545 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1646]) ).

thf(1999,plain,
    ! [SV546: sum_sum_c_c > sum_sum_c_d,SV243: set_Sum_sum_c_c] :
      ( ( ! [SY2199: set_Sum_sum_c_d] :
            ( ~ ! [SY2200: sum_sum_c_c] :
                  ( ~ ( member_Sum_sum_c_c @ SY2200 @ SV243 )
                  | ( member_Sum_sum_c_d @ ( SV546 @ SY2200 ) @ SY2199 ) )
            | ( member318754689um_c_d @ SV546
              @ ( pi_Sum261268376um_c_d @ SV243
                @ ^ [SX3: sum_sum_c_c] : SY2199 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1647]) ).

thf(2000,plain,
    ! [SV547: set_Sum_sum_c_c,SV244: set_Sum_sum_c_c] :
      ( ( ! [SY2202: sum_sum_c_c] :
            ( ~ ( ord_le1772180283um_c_c @ SV244 @ SV547 )
            | ~ ( member_Sum_sum_c_c @ SY2202 @ SV244 )
            | ( member_Sum_sum_c_c @ SY2202 @ SV547 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1648]) ).

thf(2001,plain,
    ! [SV548: produc190496183real_c] :
      ( ( ( ord_le850691415real_c @ SV548 )
        = ( ^ [SY2203: produc190496183real_c] :
              ~ ( ~ ( ord_le775706699real_c @ ( produc2010422875real_c @ SV548 ) @ ( produc2010422875real_c @ SY2203 ) )
                | ~ ( ord_le775706699real_c @ ( produc314122909real_c @ SV548 ) @ ( produc314122909real_c @ SY2203 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1649]) ).

thf(2002,plain,
    ! [SV549: produc190496183real_c,SV246: produc190496183real_c] :
      ( ( ~ ( ord_le850691415real_c @ SV246 @ SV549 )
        | ( ord_le775706699real_c @ ( produc314122909real_c @ SV246 ) @ ( produc314122909real_c @ SV549 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1651]) ).

thf(2003,plain,
    ! [SV550: set_Sum_sum_c_c,SV247: sum_sum_c_c > sum_sum_c_d] :
      ( ( ! [SY2204: sum_sum_c_c > set_Sum_sum_c_d,SY2205: sum_sum_c_c] :
            ( ~ ( member318754689um_c_d @ SV247 @ ( pi_Sum261268376um_c_d @ SV550 @ SY2204 ) )
            | ~ ( member_Sum_sum_c_c @ SY2205 @ SV550 )
            | ( member_Sum_sum_c_d @ ( SV247 @ SY2205 ) @ ( SY2204 @ SY2205 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1652]) ).

thf(2004,plain,
    ! [SV551: set_re2066790124real_c,SV248: ( real > finite1398487019real_c ) > produc190496183real_c] :
      ( ( ! [SY2206: set_Pr1389752855real_c,SY2207: real > finite1398487019real_c] :
            ( ~ ( member954762593real_c @ SV248
                @ ( pi_rea1379668980real_c @ SV551
                  @ ^ [SX4: real > finite1398487019real_c] : SY2206 ) )
            | ~ ( member1321351885real_c @ SY2207 @ SV551 )
            | ( member1895684704real_c @ ( SV248 @ SY2207 ) @ SY2206 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1653]) ).

thf(2005,plain,
    ! [SV552: c > real > finite1398487019real_c,SV249: set_c] :
      ( ( ! [SY2209: set_re2066790124real_c] :
            ( ~ ! [SY2210: c] :
                  ( ~ ( member_c @ SY2210 @ SV249 )
                  | ( member1321351885real_c @ ( SV552 @ SY2210 ) @ SY2209 ) )
            | ( ord_le35002188real_c @ ( image_1226855921real_c @ SV552 @ SV249 ) @ SY2209 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1654]) ).

thf(2006,plain,
    ! [SV553: c > $o,SV250: c > $o] :
      ( ( ( ord_less_eq_set_c @ ( collect_c @ SV250 ) @ ( collect_c @ SV553 ) )
        = ( ! [SY2211: c] :
              ( ~ ( SV250 @ SY2211 )
              | ( SV553 @ SY2211 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1655]) ).

thf(2007,plain,
    ! [SV554: set_re2066790124real_c,SV251: set_re2066790124real_c] :
      ( ( ~ ! [SY2212: real > finite1398487019real_c] :
              ( ~ ( member1321351885real_c @ SY2212 @ SV251 )
              | ( member1321351885real_c @ SY2212 @ SV554 ) )
        | ( ord_le35002188real_c @ SV251 @ SV554 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1656]) ).

thf(2008,plain,
    ! [SV555: set_Sum_sum_c_d,SV252: sum_sum_c_d] :
      ( ( ~ ~ ( member_Sum_sum_c_d @ SV252 @ SV555 )
        | ( member_Sum_sum_c_d @ SV252 @ ( uminus373867045um_c_d @ SV555 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1657]) ).

thf(2009,plain,
    ( ( ( osafe_a_c @ oDEa )
      = $false )
    | ( ( ~ ( fsafe_a_b_c @ phi )
        | ( ode != oDEa )
        | ( p != phi )
        | ~ ( ord_less_eq_real @ zero_zero_real @ t )
        | ( ( produc394644079real_c @ aa @ ba )
         != ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
        | ~ ( initia1631504802real_c @ sol
            @ ^ [SX0: real] : ( denota1275485728_a_b_c @ i @ oDEa )
            @ ( set_or656347191t_real @ zero_zero_real @ t )
            @ ( collec230941376real_c
              @ ^ [SX0: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ SX0 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) )
        | ~ ( denota256060419gree_c @ ( sol @ zero_zero_real ) @ ab
            @ ( collect_c
              @ ^ [SX0: c] :
                  ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_BVO_a_c @ oDEa ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( static_FVO_a_c @ oDEa ) ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_FVF_a_b_c @ phi ) ) ) ) )
        | ( ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) )
          = ( denota161327353_a_b_c @ i @ oDEa
            @ ( produc394644079real_c
              @ ( finite557796307c_real
                @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
              @ bb )
            @ ( finite557796307c_real
              @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ t ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1658]) ).

thf(2010,plain,
    ( ( ( ~ ( ~ ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
            | ~ ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) ) ) )
      = $false )
    | ( ( ( finite772340578real_c @ ( produc2010422875real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) ) @ i2 )
        = ( finite772340578real_c @ ab @ i2 ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1659]) ).

thf(2011,plain,
    ! [SV556: c > $o,SV253: c > $o] :
      ( ( ~ ! [SY2213: c] :
              ( ( SV253 @ SY2213 )
              = ( SV556 @ SY2213 ) )
        | ( ( collect_c @ SV253 )
          = ( collect_c @ SV556 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1660]) ).

thf(2012,plain,
    ! [SV557: sum_sum_c_d > c,SV254: set_Sum_sum_c_d] :
      ( ( ! [SY2214: sum_sum_c_d > set_c] :
            ( ~ ! [SY2215: sum_sum_c_d] :
                  ( ~ ( member_Sum_sum_c_d @ SY2215 @ SV254 )
                  | ( member_c @ ( SV557 @ SY2215 ) @ ( SY2214 @ SY2215 ) ) )
            | ( member_Sum_sum_c_d_c @ SV557 @ ( pi_Sum_sum_c_d_c @ SV254 @ SY2214 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1661]) ).

thf(2013,plain,
    ! [SV558: sum_sum_c_c > sum_sum_c_c,SV255: set_Sum_sum_c_c] :
      ( ( ! [SY2216: set_Sum_sum_c_c] :
            ( ~ ! [SY2217: sum_sum_c_c] :
                  ( ~ ( member_Sum_sum_c_c @ SY2217 @ SV255 )
                  | ( member_Sum_sum_c_c @ ( SV558 @ SY2217 ) @ SY2216 ) )
            | ( ord_le1772180283um_c_c @ ( image_666880337um_c_c @ SV558 @ SV255 ) @ SY2216 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1662]) ).

thf(2014,plain,
    ! [SV559: set_c,SV256: c] :
      ( ( ! [SY2218: c,SY2219: c > c] :
            ( ~ ( member_c @ SV256 @ SV559 )
            | ( SY2218
             != ( SY2219 @ SV256 ) )
            | ( member_c @ SY2218 @ ( image_c_c @ SY2219 @ SV559 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1663]) ).

thf(2015,plain,
    ! [SV560: set_Sum_sum_c_c,SV257: sum_sum_c_c > sum_sum_c_c] :
      ( ( ! [SY2220: sum_sum_c_c > $o] :
            ( ( collect_Sum_sum_c_c
              @ ^ [SY2221: sum_sum_c_c] :
                  ~ ( ~ ( member_Sum_sum_c_c @ SY2221 @ ( image_666880337um_c_c @ SV257 @ SV560 ) )
                    | ~ ( SY2220 @ SY2221 ) ) )
            = ( image_666880337um_c_c @ SV257
              @ ( collect_Sum_sum_c_c
                @ ^ [SY2222: sum_sum_c_c] :
                    ~ ( ~ ( member_Sum_sum_c_c @ SY2222 @ SV560 )
                      | ~ ( SY2220 @ ( SV257 @ SY2222 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1664]) ).

thf(2016,plain,
    ! [SV561: sum_sum_c_d > c,SV258: c] :
      ( ( ! [SY2223: sum_sum_c_d,SY2224: set_Sum_sum_c_d] :
            ( ( SV258
             != ( SV561 @ SY2223 ) )
            | ~ ( member_Sum_sum_c_d @ SY2223 @ SY2224 )
            | ( member_c @ SV258 @ ( image_Sum_sum_c_d_c @ SV561 @ SY2224 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1665]) ).

thf(2017,plain,
    ! [SV562: set_Sum_sum_c_d,SV259: sum_sum_c_d] :
      ( ( ! [SY2225: sum_sum_c_d > c] :
            ( ~ ( member_Sum_sum_c_d @ SV259 @ SV562 )
            | ( member_c @ ( SY2225 @ SV259 ) @ ( image_Sum_sum_c_d_c @ SY2225 @ SV562 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1666]) ).

thf(2018,plain,
    ( ( ~ ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
          | ( ( finite772340578real_c @ ( produc2010422875real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) ) @ i2 )
            = ( finite772340578real_c @ ( sol @ x ) @ i2 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1667]) ).

thf(2019,plain,
    ( ( ~ ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
          | ( ( finite772340578real_c @ ( produc2010422875real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) ) @ i2 )
            = ( finite772340578real_c @ ( sol @ x ) @ i2 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1667]) ).

thf(2020,plain,
    ( ( ( osafe_a_c @ oDEa )
      = $false )
    | ( ( ~ ( fsafe_a_b_c @ phi )
        | ( ode != oDEa )
        | ( p != phi )
        | ~ ( ord_less_eq_real @ zero_zero_real @ t )
        | ( ( produc394644079real_c @ aa @ ba )
         != ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
        | ~ ( initia1631504802real_c @ sol
            @ ^ [SX0: real] : ( denota1275485728_a_b_c @ i @ oDEa )
            @ ( set_or656347191t_real @ zero_zero_real @ t )
            @ ( collec230941376real_c
              @ ^ [SX0: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ SX0 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) )
        | ~ ( denota256060419gree_c @ ( sol @ zero_zero_real ) @ ab
            @ ( collect_c
              @ ^ [SX0: c] :
                  ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_BVO_a_c @ oDEa ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( static_FVO_a_c @ oDEa ) ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_FVF_a_b_c @ phi ) ) ) ) )
        | ( ord_less_eq_real @ zero_zero_real @ t ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1668]) ).

thf(2021,plain,
    ! [SV563: set_Sum_sum_c_c,SV260: sum_sum_c_c] :
      ( ( ! [SY2226: sum_sum_c_d,SY2227: sum_sum_c_c > sum_sum_c_d] :
            ( ~ ( member_Sum_sum_c_c @ SV260 @ SV563 )
            | ( SY2226
             != ( SY2227 @ SV260 ) )
            | ( member_Sum_sum_c_d @ SY2226 @ ( image_675141842um_c_d @ SY2227 @ SV563 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1669]) ).

thf(2022,plain,
    ! [SV564: sum_sum_c_d > c,SV261: set_Sum_sum_c_d] :
      ( ( ! [SY2228: set_c] :
            ( ~ ! [SY2229: sum_sum_c_d] :
                  ( ~ ( member_Sum_sum_c_d @ SY2229 @ SV261 )
                  | ( member_c @ ( SV564 @ SY2229 ) @ SY2228 ) )
            | ( member_Sum_sum_c_d_c @ SV564
              @ ( pi_Sum_sum_c_d_c @ SV261
                @ ^ [SX3: sum_sum_c_d] : SY2228 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1670]) ).

thf(2023,plain,
    ! [SV565: finite1398487019real_c,SV262: $o] :
      ( ( ! [SY2231: finite1398487019real_c,SY2232: c] :
            ~ ( ~ ( ~ SV262
                  | ( ( finite772340578real_c @ ( if_Fin36944805real_c @ SV262 @ SV565 @ SY2231 ) @ SY2232 )
                    = ( finite772340578real_c @ SV565 @ SY2232 ) ) )
              | ~ ( ~ ~ SV262
                  | ( ( finite772340578real_c @ ( if_Fin36944805real_c @ SV262 @ SV565 @ SY2231 ) @ SY2232 )
                    = ( finite772340578real_c @ SY2231 @ SY2232 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1671]) ).

thf(2024,plain,
    ! [SV566: finite1398487019real_c] :
      ( ( ! [SY2233: finite1398487019real_c,SY2234: c] :
            ~ ( ~ ( ~ $true
                  | ( ( finite772340578real_c @ ( if_Fin36944805real_c @ $true @ SV566 @ SY2233 ) @ SY2234 )
                    = ( finite772340578real_c @ SV566 @ SY2234 ) ) )
              | ~ ( ~ ~ $true
                  | ( ( finite772340578real_c @ ( if_Fin36944805real_c @ $true @ SV566 @ SY2233 ) @ SY2234 )
                    = ( finite772340578real_c @ SY2233 @ SY2234 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1672]) ).

thf(2025,plain,
    ! [SV567: finite1398487019real_c] :
      ( ( ! [SY2235: finite1398487019real_c,SY2236: c] :
            ~ ( ~ ( ~ $false
                  | ( ( finite772340578real_c @ ( if_Fin36944805real_c @ $false @ SV567 @ SY2235 ) @ SY2236 )
                    = ( finite772340578real_c @ SV567 @ SY2236 ) ) )
              | ~ ( ~ ~ $false
                  | ( ( finite772340578real_c @ ( if_Fin36944805real_c @ $false @ SV567 @ SY2235 ) @ SY2236 )
                    = ( finite772340578real_c @ SY2235 @ SY2236 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1673]) ).

thf(2026,plain,
    ! [SV568: set_Sum_sum_c_c,SV263: set_Sum_sum_c_c] :
      ( ( ~ ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SV263 ) @ SV568 )
        | ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SV568 ) @ SV263 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1674]) ).

thf(2027,plain,
    ! [SV569: real > finite1398487019real_c,SV264: set_real] :
      ( ( ! [SY2237: set_Fi1407883041real_c] :
            ( ~ ! [SY2238: real] :
                  ( ~ ( member_real @ SY2238 @ SV264 )
                  | ( member1261661570real_c @ ( SV569 @ SY2238 ) @ SY2237 ) )
            | ( member1321351885real_c @ SV569
              @ ( pi_rea1111636068real_c @ SV264
                @ ^ [SX3: real] : SY2237 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1675]) ).

thf(2028,plain,
    ! [SV570: set_Sum_sum_c_c,SV265: set_Sum_sum_c_c] :
      ( ( ! [SY2240: produc190496183real_c,SY2241: produc190496183real_c] :
            ( ~ ( ord_le1772180283um_c_c @ SV265 @ SV570 )
            | ~ ( denota1997846518gree_c @ SY2240 @ SY2241 @ SV570 )
            | ( denota1997846518gree_c @ SY2240 @ SY2241 @ SV265 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1676]) ).

thf(2029,plain,
    ! [SV571: c,SV266: produc190496183real_c] :
      ( ( ! [SY2242: real,SY2243: produc190496183real_c] :
            ( ( ( denotational_repd_c @ SV266 @ SV571 @ SY2242 )
             != SY2243 )
            | ( SY2243
              = ( produc394644079real_c @ ( produc2010422875real_c @ SV266 )
                @ ( finite557796307c_real
                  @ ^ [SY2244: c] : ( if_real @ ( SV571 = SY2244 ) @ SY2242 @ ( finite772340578real_c @ ( produc314122909real_c @ SV266 ) @ SY2244 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1677]) ).

thf(2030,plain,
    ! [SV572: c > sum_sum_c_c,SV267: set_c] :
      ( ( ! [SY2245: c > set_Sum_sum_c_c] :
            ( ~ ! [SY2246: c] :
                  ( ~ ( member_c @ SY2246 @ SV267 )
                  | ( member_Sum_sum_c_c @ ( SV572 @ SY2246 ) @ ( SY2245 @ SY2246 ) ) )
            | ( member_c_Sum_sum_c_c @ SV572 @ ( pi_c_Sum_sum_c_c @ SV267 @ SY2245 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1678]) ).

thf(2031,plain,
    ! [SV573: c > sum_sum_c_c,SV268: set_c] :
      ( ( ! [SY2247: set_Sum_sum_c_c] :
            ( ~ ! [SY2248: c] :
                  ( ~ ( member_c @ SY2248 @ SV268 )
                  | ( member_Sum_sum_c_c @ ( SV573 @ SY2248 ) @ SY2247 ) )
            | ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV573 @ SV268 ) @ SY2247 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1679]) ).

thf(2032,plain,
    ! [SV574: set_Sum_sum_c_d,SV269: set_Sum_sum_c_d] :
      ( ( ! [SY2249: sum_sum_c_d] :
            ( ~ ( ord_le764260924um_c_d @ SV269 @ SV574 )
            | ~ ( member_Sum_sum_c_d @ SY2249 @ SV269 )
            | ( member_Sum_sum_c_d @ SY2249 @ SV574 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1680]) ).

thf(2033,plain,
    ! [SV575: c > $o,SV270: c > $o] :
      ( ( ~ ! [SY2250: c] :
              ( ~ ( SV270 @ SY2250 )
              | ( SV575 @ SY2250 ) )
        | ( ord_less_eq_set_c @ ( collect_c @ SV270 ) @ ( collect_c @ SV575 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1681]) ).

thf(2034,plain,
    ! [SV576: real,SV271: real] :
      ( ( ! [SY2251: real,SY2252: real] :
            ( ( ord_less_eq_set_real @ ( set_or656347191t_real @ SV271 @ SV576 ) @ ( set_or656347191t_real @ SY2251 @ SY2252 ) )
            = ( ~ ( ord_less_eq_real @ SV271 @ SV576 )
              | ~ ( ~ ( ord_less_eq_real @ SY2251 @ SV271 )
                  | ~ ( ord_less_eq_real @ SV576 @ SY2252 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1682]) ).

thf(2035,plain,
    ! [SV577: set_re2066790124real_c] :
      ( ( ( ord_le35002188real_c @ SV577 )
        = ( ^ [SY2253: set_re2066790124real_c] :
            ! [SY2254: real > finite1398487019real_c] :
              ( ~ ( member1321351885real_c @ SY2254 @ SV577 )
              | ( member1321351885real_c @ SY2254 @ SY2253 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1683]) ).

thf(2036,plain,
    ! [SV578: set_Pr1389752855real_c] :
      ( ( ( ord_le977353143real_c @ SV578 )
        = ( ^ [SY2255: set_Pr1389752855real_c] :
            ! [SY2256: produc190496183real_c] :
              ( ~ ( member1895684704real_c @ SY2256 @ SV578 )
              | ( member1895684704real_c @ SY2256 @ SY2255 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1685]) ).

thf(2037,plain,
    ! [SV579: set_Sum_sum_c_c,SV274: sum_sum_c_c] :
      ( ( ! [SY2257: sum_sum_c_c > sum_sum_c_c] :
            ( ~ ( member_Sum_sum_c_c @ SV274 @ SV579 )
            | ( member_Sum_sum_c_c @ ( SY2257 @ SV274 ) @ ( image_666880337um_c_c @ SY2257 @ SV579 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1687]) ).

thf(2038,plain,
    ! [SV580: c > real > finite1398487019real_c,SV275: set_c] :
      ( ( ! [SY2258: c > set_re2066790124real_c] :
            ( ~ ! [SY2259: c] :
                  ( ~ ( member_c @ SY2259 @ SV275 )
                  | ( member1321351885real_c @ ( SV580 @ SY2259 ) @ ( SY2258 @ SY2259 ) ) )
            | ( member469531344real_c @ SV580 @ ( pi_c_r41638571real_c @ SV275 @ SY2258 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1688]) ).

thf(2039,plain,
    ! [SV581: set_c,SV276: c > sum_sum_c_c] :
      ( ( ! [SY2260: c > set_Sum_sum_c_c,SY2261: c] :
            ( ~ ( member_c_Sum_sum_c_c @ SV276 @ ( pi_c_Sum_sum_c_c @ SV581 @ SY2260 ) )
            | ~ ~ ( member_Sum_sum_c_c @ ( SV276 @ SY2261 ) @ ( SY2260 @ SY2261 ) )
            | ~ ( member_c @ SY2261 @ SV581 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1689]) ).

thf(2040,plain,
    ! [SV277: c] :
      ( ( ~ ~ ( ~ ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SV277 ) @ ( static_BVO_a_c @ oDEa ) )
                  | ( ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SV277 )
                    = ( finite772340578real_c @ ab @ SV277 ) ) )
              | ~ ( ~ ( member_Sum_sum_c_d @ ( sum_Inl_c_d @ SV277 ) @ ( image_c_Sum_sum_c_d @ sum_Inl_c_d @ ( static_FVO_a_c @ oDEa ) ) )
                  | ( ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SV277 )
                    = ( finite772340578real_c @ ab @ SV277 ) ) ) )
        | ~ ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SV277 ) @ ( static_FVF_a_b_c @ phi ) )
            | ( ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SV277 )
              = ( finite772340578real_c @ ab @ SV277 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1690]) ).

thf(2041,plain,
    ! [SV582: set_Sum_sum_c_c,SV278: sum_sum_c_c > sum_sum_c_c] :
      ( ( ! [SY2262: sum_sum_c_c > set_Sum_sum_c_c,SY2263: sum_sum_c_c] :
            ( ~ ( member1326674048um_c_c @ SV278 @ ( pi_Sum253006871um_c_c @ SV582 @ SY2262 ) )
            | ~ ~ ( member_Sum_sum_c_c @ ( SV278 @ SY2263 ) @ ( SY2262 @ SY2263 ) )
            | ~ ( member_Sum_sum_c_c @ SY2263 @ SV582 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1691]) ).

thf(2042,plain,
    ! [SV583: sum_sum_c_c > sum_sum_c_c,SV279: set_Sum_sum_c_c] :
      ( ( ! [SY2264: sum_sum_c_c > set_Sum_sum_c_c] :
            ( ~ ! [SY2265: sum_sum_c_c] :
                  ( ~ ( member_Sum_sum_c_c @ SY2265 @ SV279 )
                  | ( member_Sum_sum_c_c @ ( SV583 @ SY2265 ) @ ( SY2264 @ SY2265 ) ) )
            | ( member1326674048um_c_c @ SV583 @ ( pi_Sum253006871um_c_c @ SV279 @ SY2264 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1692]) ).

thf(2043,plain,
    ! [SV584: set_Sum_sum_c_c,SV280: sum_sum_c_c > c] :
      ( ( ! [SY2266: sum_sum_c_c > set_c,SY2267: sum_sum_c_c] :
            ( ~ ( member_Sum_sum_c_c_c @ SV280 @ ( pi_Sum_sum_c_c_c @ SV584 @ SY2266 ) )
            | ~ ~ ( member_c @ ( SV280 @ SY2267 ) @ ( SY2266 @ SY2267 ) )
            | ~ ( member_Sum_sum_c_c @ SY2267 @ SV584 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1693]) ).

thf(2044,plain,
    ! [SV585: sum_sum_c_c > sum_sum_c_d,SV281: sum_sum_c_d] :
      ( ( ! [SY2268: set_Sum_sum_c_c] :
            ( ~ ( member_Sum_sum_c_d @ SV281 @ ( image_675141842um_c_d @ SV585 @ SY2268 ) )
            | ~ ! [SY2269: sum_sum_c_c] :
                  ( ( SV281
                   != ( SV585 @ SY2269 ) )
                  | ~ ( member_Sum_sum_c_c @ SY2269 @ SY2268 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1694]) ).

thf(2045,plain,
    ! [SV586: c > sum_sum_c_c,SV282: set_c] :
      ( ( ! [SY2270: c > set_Sum_sum_c_c] :
            ( ~ ! [SY2271: c] :
                  ( ~ ( member_c @ SY2271 @ SV282 )
                  | ( member_Sum_sum_c_c @ ( SV586 @ SY2271 ) @ ( SY2270 @ SY2271 ) ) )
            | ( member_c_Sum_sum_c_c @ SV586 @ ( pi_c_Sum_sum_c_c @ SV282 @ SY2270 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1695]) ).

thf(2046,plain,
    ! [SV587: set_c,SV283: set_c] :
      ( ( ! [SY2272: finite1398487019real_c,SY2273: finite1398487019real_c] :
            ( ~ ( ord_less_eq_set_c @ SV283 @ SV587 )
            | ~ ( denota256060419gree_c @ SY2272 @ SY2273 @ SV587 )
            | ( denota256060419gree_c @ SY2272 @ SY2273 @ SV283 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1696]) ).

thf(2047,plain,
    ! [SV588: set_re2066790124real_c,SV284: ( real > finite1398487019real_c ) > sum_sum_c_d] :
      ( ( ! [SY2274: set_Sum_sum_c_d,SY2275: real > finite1398487019real_c] :
            ( ~ ( member1494186770um_c_d @ SV284
                @ ( pi_rea1508591913um_c_d @ SV588
                  @ ^ [SX4: real > finite1398487019real_c] : SY2274 ) )
            | ~ ( member1321351885real_c @ SY2275 @ SV588 )
            | ( member_Sum_sum_c_d @ ( SV284 @ SY2275 ) @ SY2274 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1697]) ).

thf(2048,plain,
    ! [SV589: set_c,SV285: c] :
      ( ( ! [SY2277: sum_sum_c_d,SY2278: c > sum_sum_c_d] :
            ( ~ ( member_c @ SV285 @ SV589 )
            | ( SY2277
             != ( SY2278 @ SV285 ) )
            | ( member_Sum_sum_c_d @ SY2277 @ ( image_c_Sum_sum_c_d @ SY2278 @ SV589 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1698]) ).

thf(2049,plain,
    ! [SV590: c > c,SV286: set_c] :
      ( ( ! [SY2279: c > set_c] :
            ( ~ ! [SY2280: c] :
                  ( ~ ( member_c @ SY2280 @ SV286 )
                  | ( member_c @ ( SV590 @ SY2280 ) @ ( SY2279 @ SY2280 ) ) )
            | ( member_c_c @ SV590 @ ( pi_c_c @ SV286 @ SY2279 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1699]) ).

thf(2050,plain,
    ! [SV591: set_c,SV287: c] :
      ( ( ! [SY2281: real > finite1398487019real_c,SY2282: c > real > finite1398487019real_c] :
            ( ~ ( member_c @ SV287 @ SV591 )
            | ( SY2281
             != ( SY2282 @ SV287 ) )
            | ( member1321351885real_c @ SY2281 @ ( image_1226855921real_c @ SY2282 @ SV591 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1700]) ).

thf(2051,plain,
    ! [SV592: oDE_a_c,SV288: denota231621370t_unit] :
      ( ( ! [SY2283: finite1398487019real_c,SY2284: produc190496183real_c] :
            ( ( ( denota1896987029_a_b_c @ SV288 @ SV592 @ SY2283 )
             != SY2284 )
            | ( SY2284
              = ( produc394644079real_c @ SY2283 @ ( denota1275485728_a_b_c @ SV288 @ SV592 @ SY2283 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1701]) ).

thf(2052,plain,
    ! [SV593: sum_sum_c_c > sum_sum_c_c,SV289: sum_sum_c_c] :
      ( ( ! [SY2285: sum_sum_c_c,SY2286: set_Sum_sum_c_c] :
            ( ( SV289
             != ( SV593 @ SY2285 ) )
            | ~ ( member_Sum_sum_c_c @ SY2285 @ SY2286 )
            | ( member_Sum_sum_c_c @ SV289 @ ( image_666880337um_c_c @ SV593 @ SY2286 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1702]) ).

thf(2053,plain,
    ( ( ( ~ ( ~ ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
            | ~ ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) ) ) )
      = $false )
    | ( ( ( finite772340578real_c @ ( produc314122909real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) ) @ i2 )
        = ( finite772340578real_c @ bb @ i2 ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1703]) ).

thf(2054,plain,
    ! [SV594: set_c,SV290: set_c] :
      ( ( ! [SY2287: c > sum_sum_c_d] :
            ( ~ ( ord_less_eq_set_c @ SV290 @ SV594 )
            | ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SY2287 @ SV290 ) @ ( image_c_Sum_sum_c_d @ SY2287 @ SV594 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1704]) ).

thf(2055,plain,
    ! [SV595: set_c,SV291: c] :
      ( ( ~ ( member_c @ SV291 @ ( uminus_uminus_set_c @ SV595 ) )
        | ~ ( member_c @ SV291 @ SV595 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1705]) ).

thf(2056,plain,
    ! [SV596: set_Sum_sum_c_c,SV292: sum_sum_c_c] :
      ( ( ! [SY2288: sum_sum_c_c > c] :
            ( ~ ( member_Sum_sum_c_c @ SV292 @ SV596 )
            | ( member_c @ ( SY2288 @ SV292 ) @ ( image_Sum_sum_c_c_c @ SY2288 @ SV596 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1706]) ).

thf(2057,plain,
    ! [SV597: sum_sum_c_d > sum_sum_c_c,SV293: set_Sum_sum_c_d] :
      ( ( ! [SY2289: sum_sum_c_d > set_Sum_sum_c_c] :
            ( ~ ! [SY2290: sum_sum_c_d] :
                  ( ~ ( member_Sum_sum_c_d @ SY2290 @ SV293 )
                  | ( member_Sum_sum_c_c @ ( SV597 @ SY2290 ) @ ( SY2289 @ SY2290 ) ) )
            | ( member71251457um_c_c @ SV597 @ ( pi_Sum1145067928um_c_c @ SV293 @ SY2289 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1707]) ).

thf(2058,plain,
    ! [SV598: set_Sum_sum_c_c,SV294: sum_sum_c_c] :
      ( ( ~ ~ ( member_Sum_sum_c_c @ SV294 @ SV598 )
        | ( member_Sum_sum_c_c @ SV294 @ ( uminus1381786404um_c_c @ SV598 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1708]) ).

thf(2059,plain,
    ! [SV599: produc190496183real_c > $o,SV295: set_Pr1389752855real_c] :
      ( ( ord_le977353143real_c
        @ ( collec1643251106real_c
          @ ^ [SY2291: produc190496183real_c] :
              ~ ( ~ ( member1895684704real_c @ SY2291 @ SV295 )
                | ~ ( SV599 @ SY2291 ) ) )
        @ SV295 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1709]) ).

thf(2060,plain,
    ! [SV600: set_c,SV296: c > sum_sum_c_d] :
      ( ( ! [SY2292: sum_sum_c_d > $o] :
            ( ( collect_Sum_sum_c_d
              @ ^ [SY2293: sum_sum_c_d] :
                  ~ ( ~ ( member_Sum_sum_c_d @ SY2293 @ ( image_c_Sum_sum_c_d @ SV296 @ SV600 ) )
                    | ~ ( SY2292 @ SY2293 ) ) )
            = ( image_c_Sum_sum_c_d @ SV296
              @ ( collect_c
                @ ^ [SY2294: c] :
                    ~ ( ~ ( member_c @ SY2294 @ SV600 )
                      | ~ ( SY2292 @ ( SV296 @ SY2294 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1710]) ).

thf(2061,plain,
    ! [SV601: sum_sum_c_c > sum_sum_c_c,SV297: sum_sum_c_c] :
      ( ( ! [SY2295: set_Sum_sum_c_c] :
            ( ~ ( member_Sum_sum_c_c @ SV297 @ ( image_666880337um_c_c @ SV601 @ SY2295 ) )
            | ~ ! [SY2296: sum_sum_c_c] :
                  ( ( SV297
                   != ( SV601 @ SY2296 ) )
                  | ~ ( member_Sum_sum_c_c @ SY2296 @ SY2295 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1711]) ).

thf(2062,plain,
    ! [SV602: sum_sum_c_d > c,SV298: c] :
      ( ( ! [SY2297: set_Sum_sum_c_d] :
            ( ~ ( member_c @ SV298 @ ( image_Sum_sum_c_d_c @ SV602 @ SY2297 ) )
            | ~ ! [SY2298: sum_sum_c_d] :
                  ( ( SV298
                   != ( SV602 @ SY2298 ) )
                  | ~ ( member_Sum_sum_c_d @ SY2298 @ SY2297 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1712]) ).

thf(2063,plain,
    ! [SV603: sum_sum_c_d > sum_sum_c_c,SV299: set_Sum_sum_c_d] :
      ( ( ! [SY2299: sum_sum_c_d > set_Sum_sum_c_c] :
            ( ~ ! [SY2300: sum_sum_c_d] :
                  ( ~ ( member_Sum_sum_c_d @ SY2300 @ SV299 )
                  | ( member_Sum_sum_c_c @ ( SV603 @ SY2300 ) @ ( SY2299 @ SY2300 ) ) )
            | ( member71251457um_c_c @ SV603 @ ( pi_Sum1145067928um_c_c @ SV299 @ SY2299 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1713]) ).

thf(2064,plain,
    ! [SV604: c > sum_sum_c_d,SV300: set_c] :
      ( ( ! [SY2301: c > set_Sum_sum_c_d] :
            ( ~ ! [SY2302: c] :
                  ( ~ ( member_c @ SY2302 @ SV300 )
                  | ( member_Sum_sum_c_d @ ( SV604 @ SY2302 ) @ ( SY2301 @ SY2302 ) ) )
            | ( member_c_Sum_sum_c_d @ SV604 @ ( pi_c_Sum_sum_c_d @ SV300 @ SY2301 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1714]) ).

thf(2065,plain,
    ! [SV605: sum_sum_c_d > sum_sum_c_d,SV301: sum_sum_c_d] :
      ( ( ! [SY2303: set_Sum_sum_c_d] :
            ( ~ ( member_Sum_sum_c_d @ SV301 @ ( image_1567202899um_c_d @ SV605 @ SY2303 ) )
            | ~ ! [SY2304: sum_sum_c_d] :
                  ( ( SV301
                   != ( SV605 @ SY2304 ) )
                  | ~ ( member_Sum_sum_c_d @ SY2304 @ SY2303 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1715]) ).

thf(2066,plain,
    ! [SV606: produc957004601l_real] :
      ( ( ( ord_le1342644953l_real @ SV606 )
        = ( ^ [SY2305: produc957004601l_real] :
              ~ ( ~ ( ord_less_eq_real @ ( produc1422991709l_real @ SV606 ) @ ( produc1422991709l_real @ SY2305 ) )
                | ~ ( ord_less_eq_real @ ( produc1407670175l_real @ SV606 ) @ ( produc1407670175l_real @ SY2305 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1716]) ).

thf(2067,plain,
    ( ( ~ ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
          | ( ( finite772340578real_c
              @ ( produc314122909real_c
                @ ( denota161327353_a_b_c @ i @ oDEa
                  @ ( produc394644079real_c
                    @ ( finite557796307c_real
                      @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                    @ bb )
                  @ ( finite557796307c_real
                    @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
              @ i2 )
            = ( finite772340578real_c
              @ ( denota1275485728_a_b_c @ i @ oDEa
                @ ( finite557796307c_real
                  @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) )
              @ i2 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1718]) ).

thf(2068,plain,
    ( ( ~ ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
          | ( ( finite772340578real_c
              @ ( produc314122909real_c
                @ ( denota161327353_a_b_c @ i @ oDEa
                  @ ( produc394644079real_c
                    @ ( finite557796307c_real
                      @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                    @ bb )
                  @ ( finite557796307c_real
                    @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
              @ i2 )
            = ( finite772340578real_c
              @ ( denota1275485728_a_b_c @ i @ oDEa
                @ ( finite557796307c_real
                  @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) )
              @ i2 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1718]) ).

thf(2069,plain,
    ! [SV607: sum_sum_c_c > c,SV303: set_Sum_sum_c_c] :
      ( ( ! [SY2306: sum_sum_c_c > set_c] :
            ( ~ ! [SY2307: sum_sum_c_c] :
                  ( ~ ( member_Sum_sum_c_c @ SY2307 @ SV303 )
                  | ( member_c @ ( SV607 @ SY2307 ) @ ( SY2306 @ SY2307 ) ) )
            | ( member_Sum_sum_c_c_c @ SV607 @ ( pi_Sum_sum_c_c_c @ SV303 @ SY2306 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1719]) ).

thf(2070,plain,
    ! [SV608: produc190496183real_c,SV304: produc190496183real_c] :
      ( ( ~ ( denota1997846518gree_c @ SV304 @ SV608 @ ( static_FVF_a_b_c @ p ) )
        | ( ( member1895684704real_c @ SV304 @ ( denota968303861_a_b_c @ i @ p ) )
          = ( member1895684704real_c @ SV608 @ ( denota968303861_a_b_c @ i @ p ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1720]) ).

thf(2071,plain,
    ! [SV609: set_c,SV305: set_c] :
      ( ( ! [SY2308: c > sum_sum_c_d,SY2309: c > sum_sum_c_d] :
            ( ( SV305 != SV609 )
            | ~ ! [SY2310: c] :
                  ( ~ ( member_c @ SY2310 @ SV609 )
                  | ( ( SY2308 @ SY2310 )
                    = ( SY2309 @ SY2310 ) ) )
            | ( ( image_c_Sum_sum_c_d @ SY2308 @ SV305 )
              = ( image_c_Sum_sum_c_d @ SY2309 @ SV609 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1721]) ).

thf(2072,plain,
    ! [SV610: sum_sum_c_c > c,SV306: set_Sum_sum_c_c] :
      ( ( ! [SY2311: sum_sum_c_c > set_c] :
            ( ~ ! [SY2312: sum_sum_c_c] :
                  ( ~ ( member_Sum_sum_c_c @ SY2312 @ SV306 )
                  | ( member_c @ ( SV610 @ SY2312 ) @ ( SY2311 @ SY2312 ) ) )
            | ( member_Sum_sum_c_c_c @ SV610 @ ( pi_Sum_sum_c_c_c @ SV306 @ SY2311 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1722]) ).

thf(2073,plain,
    ! [SV611: set_Pr1389752855real_c,SV307: set_Pr1389752855real_c] :
      ( ( ~ ! [SY2313: produc190496183real_c] :
              ( ~ ( member1895684704real_c @ SY2313 @ SV307 )
              | ( member1895684704real_c @ SY2313 @ SV611 ) )
        | ( ord_le977353143real_c @ SV307 @ SV611 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1723]) ).

thf(2074,plain,
    ! [SV612: c,SV308: c] :
      ( ( ( sum_Inr_c_c @ SV308 )
       != ( sum_Inl_c_c @ SV612 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1724]) ).

thf(2075,plain,
    ! [SV613: produc190496183real_c,SV309: produc190496183real_c] :
      ( ( ~ ( ord_le850691415real_c @ SV309 @ SV613 )
        | ( ord_le775706699real_c @ ( produc2010422875real_c @ SV309 ) @ ( produc2010422875real_c @ SV613 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1725]) ).

thf(2076,plain,
    ! [SV614: ( real > finite1398487019real_c ) > $o,SV310: set_re2066790124real_c] :
      ( ( ord_le35002188real_c
        @ ( collec913357835real_c
          @ ^ [SY2314: real > finite1398487019real_c] :
              ~ ( ~ ( member1321351885real_c @ SY2314 @ SV310 )
                | ~ ( SV614 @ SY2314 ) ) )
        @ SV310 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1726]) ).

thf(2077,plain,
    ! [SV615: c > $o,SV311: set_c] :
      ( ( ord_less_eq_set_c
        @ ( collect_c
          @ ^ [SY2315: c] :
              ~ ( ~ ( member_c @ SY2315 @ SV311 )
                | ~ ( SV615 @ SY2315 ) ) )
        @ SV311 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1727]) ).

thf(2078,plain,
    ! [SV616: set_Sum_sum_c_d,SV312: sum_sum_c_d] :
      ( ( ! [SY2316: sum_sum_c_d > sum_sum_c_c] :
            ( ~ ( member_Sum_sum_c_d @ SV312 @ SV616 )
            | ( member_Sum_sum_c_c @ ( SY2316 @ SV312 ) @ ( image_1558941394um_c_c @ SY2316 @ SV616 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1728]) ).

thf(2079,plain,
    ! [SV617: set_Sum_sum_c_d,SV313: sum_sum_c_d] :
      ( ( ! [SY2317: sum_sum_c_d,SY2318: sum_sum_c_d > sum_sum_c_d] :
            ( ~ ( member_Sum_sum_c_d @ SV313 @ SV617 )
            | ( SY2317
             != ( SY2318 @ SV313 ) )
            | ( member_Sum_sum_c_d @ SY2317 @ ( image_1567202899um_c_d @ SY2318 @ SV617 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1729]) ).

thf(2080,plain,
    ! [SV618: set_c,SV314: c > c] :
      ( ( ! [SY2319: c > set_c,SY2320: c] :
            ( ~ ( member_c_c @ SV314 @ ( pi_c_c @ SV618 @ SY2319 ) )
            | ~ ~ ( member_c @ ( SV314 @ SY2320 ) @ ( SY2319 @ SY2320 ) )
            | ~ ( member_c @ SY2320 @ SV618 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1730]) ).

thf(2081,plain,
    ! [SV619: finite1398487019real_c,SV315: finite1398487019real_c] :
      ( ( ! [SY2321: finite1398487019real_c,SY2322: finite1398487019real_c] :
            ( ( ord_le850691415real_c @ ( produc394644079real_c @ SV315 @ SV619 ) @ ( produc394644079real_c @ SY2321 @ SY2322 ) )
            = ( ~ ( ~ ( ord_le775706699real_c @ SV315 @ SY2321 )
                  | ~ ( ord_le775706699real_c @ SV619 @ SY2322 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1731]) ).

thf(2082,plain,
    ! [SV620: set_real,SV316: real > finite1398487019real_c] :
      ( ( ! [SY2323: real > set_Fi1407883041real_c] :
            ( ( member1321351885real_c @ SV316 @ ( pi_rea1111636068real_c @ SV620 @ SY2323 ) )
            = ( ! [SY2324: real] :
                  ( ~ ( member_real @ SY2324 @ SV620 )
                  | ( member1261661570real_c @ ( SV316 @ SY2324 ) @ ( SY2323 @ SY2324 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1732]) ).

thf(2083,plain,
    ! [SV621: set_Sum_sum_c_d,SV317: sum_sum_c_d] :
      ( ( ! [SY2325: sum_sum_c_d > sum_sum_c_d] :
            ( ~ ( member_Sum_sum_c_d @ SV317 @ SV621 )
            | ( member_Sum_sum_c_d @ ( SY2325 @ SV317 ) @ ( image_1567202899um_c_d @ SY2325 @ SV621 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1733]) ).

thf(2084,plain,
    ! [SV622: set_Pr1389752855real_c,SV318: set_Pr1389752855real_c] :
      ( ( ! [SY2326: produc190496183real_c] :
            ( ~ ( ord_le977353143real_c @ SV318 @ SV622 )
            | ~ ( member1895684704real_c @ SY2326 @ SV318 )
            | ( member1895684704real_c @ SY2326 @ SV622 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1734]) ).

thf(2085,plain,
    ! [SV623: set_re2066790124real_c,SV319: ( real > finite1398487019real_c ) > c] :
      ( ( ! [SY2327: ( real > finite1398487019real_c ) > set_c,SY2328: real > finite1398487019real_c] :
            ( ~ ( member527957930al_c_c @ SV319 @ ( pi_rea1228756413al_c_c @ SV623 @ SY2327 ) )
            | ~ ~ ( member_c @ ( SV319 @ SY2328 ) @ ( SY2327 @ SY2328 ) )
            | ~ ( member1321351885real_c @ SY2328 @ SV623 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1735]) ).

thf(2086,plain,
    ! [SV624: set_Sum_sum_c_c,SV320: set_Sum_sum_c_c] :
      ( ( ~ ! [SY2329: sum_sum_c_c] :
              ( ~ ( member_Sum_sum_c_c @ SY2329 @ SV320 )
              | ( member_Sum_sum_c_c @ SY2329 @ SV624 ) )
        | ( ord_le1772180283um_c_c @ SV320 @ SV624 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1736]) ).

thf(2087,plain,
    ! [SV625: set_c,SV321: c] :
      ( ( ! [SY2330: c > real > finite1398487019real_c] :
            ( ~ ( member_c @ SV321 @ SV625 )
            | ( member1321351885real_c @ ( SY2330 @ SV321 ) @ ( image_1226855921real_c @ SY2330 @ SV625 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1737]) ).

thf(2088,plain,
    ! [SV626: c > c,SV322: c] :
      ( ( ! [SY2331: c,SY2332: set_c] :
            ( ( SV322
             != ( SV626 @ SY2331 ) )
            | ~ ( member_c @ SY2331 @ SY2332 )
            | ( member_c @ SV322 @ ( image_c_c @ SV626 @ SY2332 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1738]) ).

thf(2089,plain,
    ! [SV627: produc190496183real_c] :
      ( ( ( ^ [SY2333: produc190496183real_c] : ( SV627 = SY2333 ) )
        = ( ^ [SY2334: produc190496183real_c] :
              ~ ( ( ( produc2010422875real_c @ SV627 )
                 != ( produc2010422875real_c @ SY2334 ) )
                | ( ( produc314122909real_c @ SV627 )
                 != ( produc314122909real_c @ SY2334 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1739]) ).

thf(2090,plain,
    ! [SV628: set_Pr1389752855real_c] :
      ( ( ( ord_le977353143real_c @ SV628 )
        = ( ^ [SY2335: set_Pr1389752855real_c] :
            ! [SY2336: produc190496183real_c] :
              ( ~ ( member1895684704real_c @ SY2336 @ SV628 )
              | ( member1895684704real_c @ SY2336 @ SY2335 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1741]) ).

thf(2091,plain,
    ! [SV629: finite1398487019real_c,SV325: finite1398487019real_c] :
      ( ( ! [SY2337: finite1398487019real_c] :
            ( ( ( produc2010422875real_c @ ( produc394644079real_c @ SV325 @ SV629 ) )
             != SY2337 )
            | ( SV325 = SY2337 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1743]) ).

thf(2092,plain,
    ! [SV630: set_c,SV326: c] :
      ( ( ! [SY2338: c > sum_sum_c_d] :
            ( ~ ( member_c @ SV326 @ SV630 )
            | ( member_Sum_sum_c_d @ ( SY2338 @ SV326 ) @ ( image_c_Sum_sum_c_d @ SY2338 @ SV630 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1744]) ).

thf(2093,plain,
    ! [SV631: c > sum_sum_c_c,SV327: set_Sum_sum_c_c] :
      ( ( ! [SY2339: set_c] :
            ( ( ord_le1772180283um_c_c @ SV327 @ ( image_c_Sum_sum_c_c @ SV631 @ SY2339 ) )
            = ( ~ ! [SY2340: set_c] :
                    ~ ~ ( ~ ( ord_less_eq_set_c @ SY2340 @ SY2339 )
                        | ( SV327
                         != ( image_c_Sum_sum_c_c @ SV631 @ SY2340 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1745]) ).

thf(2094,plain,
    ! [SV632: set_Fi1407883041real_c,SV328: finite1398487019real_c > c] :
      ( ( ! [SY2341: c > $o] :
            ( ( collect_c
              @ ^ [SY2342: c] :
                  ~ ( ~ ( member_c @ SY2342 @ ( image_1260608398al_c_c @ SV328 @ SV632 ) )
                    | ~ ( SY2341 @ SY2342 ) ) )
            = ( image_1260608398al_c_c @ SV328
              @ ( collec230941376real_c
                @ ^ [SY2343: finite1398487019real_c] :
                    ~ ( ~ ( member1261661570real_c @ SY2343 @ SV632 )
                      | ~ ( SY2341 @ ( SV328 @ SY2343 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1746]) ).

thf(2095,plain,
    ! [SV633: set_c,SV329: c > sum_sum_c_d] :
      ( ( ! [SY2344: sum_sum_c_d > $o] :
            ( ~ ~ ! [SY2345: sum_sum_c_d] :
                    ~ ~ ( ~ ( member_Sum_sum_c_d @ SY2345 @ ( image_c_Sum_sum_c_d @ SV329 @ SV633 ) )
                        | ~ ( SY2344 @ SY2345 ) )
            | ~ ! [SY2346: c] :
                  ~ ~ ( ~ ( member_c @ SY2346 @ SV633 )
                      | ~ ( SY2344 @ ( SV329 @ SY2346 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1747]) ).

thf(2096,plain,
    ! [SV634: sum_sum_c_c > sum_sum_c_d,SV330: sum_sum_c_d] :
      ( ( ! [SY2347: sum_sum_c_c,SY2348: set_Sum_sum_c_c] :
            ( ( SV330
             != ( SV634 @ SY2347 ) )
            | ~ ( member_Sum_sum_c_c @ SY2347 @ SY2348 )
            | ( member_Sum_sum_c_d @ SV330 @ ( image_675141842um_c_d @ SV634 @ SY2348 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1748]) ).

thf(2097,plain,
    ! [SV635: denota231621370t_unit,SV331: oDE_a_c] :
      ( ( ! [SY2349: real > finite1398487019real_c,SY2350: real,SY2351: finite1398487019real_c] :
            ( ~ ( osafe_a_c @ SV331 )
            | ( ( denota1275485728_a_b_c @ SV635 @ SV331 @ ( SY2349 @ SY2350 ) )
              = ( denota1275485728_a_b_c @ SV635 @ SV331
                @ ( finite557796307c_real
                  @ ^ [SY1866: c] : ( if_real @ ( member_c @ SY1866 @ ( static_FVO_a_c @ SV331 ) ) @ ( finite772340578real_c @ ( SY2349 @ SY2350 ) @ SY1866 ) @ ( finite772340578real_c @ SY2351 @ SY1866 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1749]) ).

thf(2098,plain,
    ! [SV636: finite1398487019real_c,SV332: finite1398487019real_c] :
      ( ( ! [SY2353: finite1398487019real_c,SY2354: finite1398487019real_c] :
            ( ( ( produc394644079real_c @ SV332 @ SV636 )
             != ( produc394644079real_c @ SY2353 @ SY2354 ) )
            | ~ ( ( SV332 != SY2353 )
                | ( SV636 != SY2354 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1750]) ).

thf(2099,plain,
    ! [SV333: produc190496183real_c] :
      ( ( ! [SY1870: finite1398487019real_c,SY1871: finite1398487019real_c] :
            ( SV333
           != ( produc394644079real_c @ SY1870 @ SY1871 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1751]) ).

thf(2100,plain,
    ! [SV637: c > sum_sum_c_c,SV334: set_c] :
      ( ( ! [SY2355: set_Sum_sum_c_c] :
            ( ~ ! [SY2356: c] :
                  ( ~ ( member_c @ SY2356 @ SV334 )
                  | ( member_Sum_sum_c_c @ ( SV637 @ SY2356 ) @ SY2355 ) )
            | ( member_c_Sum_sum_c_c @ SV637
              @ ( pi_c_Sum_sum_c_c @ SV334
                @ ^ [SX3: c] : SY2355 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1752]) ).

thf(2101,plain,
    ( ( ( ~ ( ~ ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
            | ~ ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) ) ) )
      = $false )
    | ( ( ( finite772340578real_c
          @ ( produc314122909real_c
            @ ( denota161327353_a_b_c @ i @ oDEa
              @ ( produc394644079real_c
                @ ( finite557796307c_real
                  @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                @ bb )
              @ ( finite557796307c_real
                @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
          @ i2 )
        = ( finite772340578real_c @ bb @ i2 ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1753]) ).

thf(2102,plain,
    ! [SV638: set_c,SV335: c > sum_sum_c_c] :
      ( ( ! [SY2358: sum_sum_c_c > $o] :
            ( ( collect_Sum_sum_c_c
              @ ^ [SY2359: sum_sum_c_c] :
                  ~ ( ~ ( member_Sum_sum_c_c @ SY2359 @ ( image_c_Sum_sum_c_c @ SV335 @ SV638 ) )
                    | ~ ( SY2358 @ SY2359 ) ) )
            = ( image_c_Sum_sum_c_c @ SV335
              @ ( collect_c
                @ ^ [SY2360: c] :
                    ~ ( ~ ( member_c @ SY2360 @ SV638 )
                      | ~ ( SY2358 @ ( SV335 @ SY2360 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1754]) ).

thf(2103,plain,
    ( ( ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( denota1293057250_a_b_c @ i @ oDEa ) )
        | ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( denota1293057250_a_b_c @ i @ oDEa ) ) )
      = $false )
    | ( ( ~ ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( denota1293057250_a_b_c @ i @ oDEa ) )
            | ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( denota1293057250_a_b_c @ i @ oDEa ) ) ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1755]) ).

thf(2104,plain,
    ! [SV337: finite1398487019real_c] :
      ( ( ! [SV639: finite1398487019real_c] :
            ( ( ord_le775706699real_c @ SV337 @ SV639 )
            = ( ! [SY2361: c] : ( ord_less_eq_real @ ( finite772340578real_c @ SV337 @ SY2361 ) @ ( finite772340578real_c @ SV639 @ SY2361 ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1757]) ).

thf(2105,plain,
    ! [SV337: finite1398487019real_c] :
      ( ( ( ord_le775706699real_c @ SV337 )
        = ( ^ [SY1880: finite1398487019real_c] :
            ! [SY1881: c] : ( ord_less_eq_real @ ( finite772340578real_c @ SV337 @ SY1881 ) @ ( finite772340578real_c @ SY1880 @ SY1881 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1757]) ).

thf(2106,plain,
    ! [SV338: finite1398487019real_c,SV7: finite1398487019real_c] :
      ( ( ~ ( ( ( finite772340578real_c @ SV7 )
              = ( finite772340578real_c @ SV338 ) )
            | ( SV7 = SV338 ) )
        | ~ ( ( ( finite772340578real_c @ SV7 )
             != ( finite772340578real_c @ SV338 ) )
            | ( SV7 != SV338 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1758]) ).

thf(2107,plain,
    ! [SV338: finite1398487019real_c,SV7: finite1398487019real_c] :
      ( ( ( ( finite772340578real_c @ SV7 )
          = ( finite772340578real_c @ SV338 ) )
        = ( SV7 = SV338 ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1758]) ).

thf(2108,plain,
    ! [SV339: finite1398487019real_c] :
      ( ( ! [SV640: finite1398487019real_c] :
            ( ( SV339 = SV640 )
            = ( ! [SY2362: c] :
                  ( ( finite772340578real_c @ SV339 @ SY2362 )
                  = ( finite772340578real_c @ SV640 @ SY2362 ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1759]) ).

thf(2109,plain,
    ! [SV339: finite1398487019real_c] :
      ( ( ( ^ [SY1882: finite1398487019real_c] : ( SV339 = SY1882 ) )
        = ( ^ [SY1883: finite1398487019real_c] :
            ! [SY1884: c] :
              ( ( finite772340578real_c @ SV339 @ SY1884 )
              = ( finite772340578real_c @ SY1883 @ SY1884 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1759]) ).

thf(2110,plain,
    ! [SV340: sum_sum_c_c > $o,SV9: sum_sum_c_c] :
      ( ( ~ ( ( member_Sum_sum_c_c @ SV9 @ ( collect_Sum_sum_c_c @ SV340 ) )
            | ( SV340 @ SV9 ) )
        | ~ ( ~ ( member_Sum_sum_c_c @ SV9 @ ( collect_Sum_sum_c_c @ SV340 ) )
            | ~ ( SV340 @ SV9 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1760]) ).

thf(2111,plain,
    ! [SV340: sum_sum_c_c > $o,SV9: sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ SV9 @ ( collect_Sum_sum_c_c @ SV340 ) )
        = ( SV340 @ SV9 ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1760]) ).

thf(2112,plain,
    ! [SV341: sum_sum_c_d > $o,SV10: sum_sum_c_d] :
      ( ( ~ ( ( member_Sum_sum_c_d @ SV10 @ ( collect_Sum_sum_c_d @ SV341 ) )
            | ( SV341 @ SV10 ) )
        | ~ ( ~ ( member_Sum_sum_c_d @ SV10 @ ( collect_Sum_sum_c_d @ SV341 ) )
            | ~ ( SV341 @ SV10 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1761]) ).

thf(2113,plain,
    ! [SV341: sum_sum_c_d > $o,SV10: sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ SV10 @ ( collect_Sum_sum_c_d @ SV341 ) )
        = ( SV341 @ SV10 ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1761]) ).

thf(2114,plain,
    ! [SV342: produc190496183real_c > $o,SV11: produc190496183real_c] :
      ( ( ~ ( ( member1895684704real_c @ SV11 @ ( collec1643251106real_c @ SV342 ) )
            | ( SV342 @ SV11 ) )
        | ~ ( ~ ( member1895684704real_c @ SV11 @ ( collec1643251106real_c @ SV342 ) )
            | ~ ( SV342 @ SV11 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1762]) ).

thf(2115,plain,
    ! [SV342: produc190496183real_c > $o,SV11: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV11 @ ( collec1643251106real_c @ SV342 ) )
        = ( SV342 @ SV11 ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1762]) ).

thf(2116,plain,
    ! [SV343: ( real > finite1398487019real_c ) > $o,SV12: real > finite1398487019real_c] :
      ( ( ~ ( ( member1321351885real_c @ SV12 @ ( collec913357835real_c @ SV343 ) )
            | ( SV343 @ SV12 ) )
        | ~ ( ~ ( member1321351885real_c @ SV12 @ ( collec913357835real_c @ SV343 ) )
            | ~ ( SV343 @ SV12 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1763]) ).

thf(2117,plain,
    ! [SV343: ( real > finite1398487019real_c ) > $o,SV12: real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ SV12 @ ( collec913357835real_c @ SV343 ) )
        = ( SV343 @ SV12 ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1763]) ).

thf(2118,plain,
    ! [SV344: finite1398487019real_c > $o,SV13: finite1398487019real_c] :
      ( ( ~ ( ( member1261661570real_c @ SV13 @ ( collec230941376real_c @ SV344 ) )
            | ( SV344 @ SV13 ) )
        | ~ ( ~ ( member1261661570real_c @ SV13 @ ( collec230941376real_c @ SV344 ) )
            | ~ ( SV344 @ SV13 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1764]) ).

thf(2119,plain,
    ! [SV344: finite1398487019real_c > $o,SV13: finite1398487019real_c] :
      ( ( ( member1261661570real_c @ SV13 @ ( collec230941376real_c @ SV344 ) )
        = ( SV344 @ SV13 ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1764]) ).

thf(2120,plain,
    ! [SV345: c > $o,SV14: c] :
      ( ( ~ ( ( member_c @ SV14 @ ( collect_c @ SV345 ) )
            | ( SV345 @ SV14 ) )
        | ~ ( ~ ( member_c @ SV14 @ ( collect_c @ SV345 ) )
            | ~ ( SV345 @ SV14 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1765]) ).

thf(2121,plain,
    ! [SV345: c > $o,SV14: c] :
      ( ( ( member_c @ SV14 @ ( collect_c @ SV345 ) )
        = ( SV345 @ SV14 ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1765]) ).

thf(2122,plain,
    ! [SV348: c > real,SV24: finite1398487019real_c] :
      ( ( ~ ( ! [SY1885: c] :
                ( ( finite772340578real_c @ SV24 @ SY1885 )
                = ( SV348 @ SY1885 ) )
            | ( ( finite557796307c_real @ SV348 )
              = SV24 ) )
        | ~ ( ~ ! [SY1885: c] :
                  ( ( finite772340578real_c @ SV24 @ SY1885 )
                  = ( SV348 @ SY1885 ) )
            | ( ( finite557796307c_real @ SV348 )
             != SV24 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1768]) ).

thf(2123,plain,
    ! [SV348: c > real,SV24: finite1398487019real_c] :
      ( ( ( ! [SY1885: c] :
              ( ( finite772340578real_c @ SV24 @ SY1885 )
              = ( SV348 @ SY1885 ) ) )
        = ( ( finite557796307c_real @ SV348 )
          = SV24 ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1768]) ).

thf(2124,plain,
    ! [SV349: denota231621370t_unit] :
      ( ( ! [SV641: oDE_a_c] :
            ( ( denota161327353_a_b_c @ SV349 @ SV641 )
            = ( ^ [SY2363: produc190496183real_c,SY2364: finite1398487019real_c] :
                  ( produc394644079real_c
                  @ ( finite557796307c_real
                    @ ^ [SY2365: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2365 ) @ ( denota1293057250_a_b_c @ SV349 @ SV641 ) ) @ SY2364 @ ( produc2010422875real_c @ SY2363 ) ) @ SY2365 ) )
                  @ ( finite557796307c_real
                    @ ^ [SY2366: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2366 ) @ ( denota1293057250_a_b_c @ SV349 @ SV641 ) ) @ ( denota1275485728_a_b_c @ SV349 @ SV641 @ SY2364 ) @ ( produc314122909real_c @ SY2363 ) ) @ SY2366 ) ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1769]) ).

thf(2125,plain,
    ! [SV349: denota231621370t_unit] :
      ( ( ( denota161327353_a_b_c @ SV349 )
        = ( ^ [SY1886: oDE_a_c,SY1887: produc190496183real_c,SY1888: finite1398487019real_c] :
              ( produc394644079real_c
              @ ( finite557796307c_real
                @ ^ [SY1889: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY1889 ) @ ( denota1293057250_a_b_c @ SV349 @ SY1886 ) ) @ SY1888 @ ( produc2010422875real_c @ SY1887 ) ) @ SY1889 ) )
              @ ( finite557796307c_real
                @ ^ [SY1890: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY1890 ) @ ( denota1293057250_a_b_c @ SV349 @ SY1886 ) ) @ ( denota1275485728_a_b_c @ SV349 @ SY1886 @ SY1888 ) @ ( produc314122909real_c @ SY1887 ) ) @ SY1890 ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1769]) ).

thf(2126,plain,
    ! [SV350: denota231621370t_unit] :
      ( ( ! [SV642: oDE_a_c] :
            ( ( denota310462944_a_b_c @ SV350 @ SV642 )
            = ( ^ [SY2367: produc190496183real_c,SY2368: finite1398487019real_c] :
                  ( produc394644079real_c
                  @ ( finite557796307c_real
                    @ ^ [SY2369: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2369 ) @ ( denota1293057250_a_b_c @ SV350 @ SV642 ) ) @ SY2368 @ ( produc2010422875real_c @ SY2367 ) ) @ SY2369 ) )
                  @ ( finite557796307c_real
                    @ ^ [SY2370: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2370 ) @ ( denota1293057250_a_b_c @ SV350 @ SV642 ) ) @ ( denota1275485728_a_b_c @ SV350 @ SV642 @ SY2368 ) @ ( produc314122909real_c @ SY2367 ) ) @ SY2370 ) ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1770]) ).

thf(2127,plain,
    ! [SV350: denota231621370t_unit] :
      ( ( ( denota310462944_a_b_c @ SV350 )
        = ( ^ [SY1891: oDE_a_c,SY1892: produc190496183real_c,SY1893: finite1398487019real_c] :
              ( produc394644079real_c
              @ ( finite557796307c_real
                @ ^ [SY1894: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY1894 ) @ ( denota1293057250_a_b_c @ SV350 @ SY1891 ) ) @ SY1893 @ ( produc2010422875real_c @ SY1892 ) ) @ SY1894 ) )
              @ ( finite557796307c_real
                @ ^ [SY1895: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY1895 ) @ ( denota1293057250_a_b_c @ SV350 @ SY1891 ) ) @ ( denota1275485728_a_b_c @ SV350 @ SY1891 @ SY1893 ) @ ( produc314122909real_c @ SY1892 ) ) @ SY1895 ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1770]) ).

thf(2128,plain,
    ! [SV29: real] :
      ( ( ( ~ ( ( zero_zero_real
                = ( uminus_uminus_real @ SV29 ) )
              | ( zero_zero_real = SV29 ) ) )
        = $true )
      | ( ( ~ ( ( zero_zero_real
               != ( uminus_uminus_real @ SV29 ) )
              | ( zero_zero_real != SV29 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1771]) ).

thf(2129,plain,
    ! [SV30: real] :
      ( ( ( ~ ( ( ( uminus_uminus_real @ SV30 )
                = zero_zero_real )
              | ( SV30 = zero_zero_real ) ) )
        = $true )
      | ( ( ~ ( ( ( uminus_uminus_real @ SV30 )
               != zero_zero_real )
              | ( SV30 != zero_zero_real ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1773]) ).

thf(2130,plain,
    ! [SV31: real] :
      ( ( ( ~ ( ( SV31
                = ( uminus_uminus_real @ SV31 ) )
              | ( SV31 = zero_zero_real ) ) )
        = $true )
      | ( ( ~ ( ( SV31
               != ( uminus_uminus_real @ SV31 ) )
              | ( SV31 != zero_zero_real ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1775]) ).

thf(2131,plain,
    ! [SV32: real] :
      ( ( ( ~ ( ( ( uminus_uminus_real @ SV32 )
                = SV32 )
              | ( SV32 = zero_zero_real ) ) )
        = $true )
      | ( ( ~ ( ( ( uminus_uminus_real @ SV32 )
               != SV32 )
              | ( SV32 != zero_zero_real ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1777]) ).

thf(2132,plain,
    ! [SV351: real,SV33: real] :
      ( ( ~ ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV33 ) @ ( uminus_uminus_real @ SV351 ) )
            | ( ord_less_eq_real @ SV351 @ SV33 ) )
        | ~ ( ~ ( ord_less_eq_real @ ( uminus_uminus_real @ SV33 ) @ ( uminus_uminus_real @ SV351 ) )
            | ~ ( ord_less_eq_real @ SV351 @ SV33 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1779]) ).

thf(2133,plain,
    ! [SV351: real,SV33: real] :
      ( ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV33 ) @ ( uminus_uminus_real @ SV351 ) )
        = ( ord_less_eq_real @ SV351 @ SV33 ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1779]) ).

thf(2134,plain,
    ! [SV39: real] :
      ( ( ( ~ ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV39 ) @ SV39 )
              | ( ord_less_eq_real @ zero_zero_real @ SV39 ) ) )
        = $true )
      | ( ( ~ ( ~ ( ord_less_eq_real @ ( uminus_uminus_real @ SV39 ) @ SV39 )
              | ~ ( ord_less_eq_real @ zero_zero_real @ SV39 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1783]) ).

thf(2135,plain,
    ! [SV40: real] :
      ( ( ( ~ ( ( ord_less_eq_real @ SV40 @ ( uminus_uminus_real @ SV40 ) )
              | ( ord_less_eq_real @ SV40 @ zero_zero_real ) ) )
        = $true )
      | ( ( ~ ( ~ ( ord_less_eq_real @ SV40 @ ( uminus_uminus_real @ SV40 ) )
              | ~ ( ord_less_eq_real @ SV40 @ zero_zero_real ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1785]) ).

thf(2136,plain,
    ! [SV41: real] :
      ( ( ( ~ ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV41 ) @ zero_zero_real )
              | ( ord_less_eq_real @ zero_zero_real @ SV41 ) ) )
        = $true )
      | ( ( ~ ( ~ ( ord_less_eq_real @ ( uminus_uminus_real @ SV41 ) @ zero_zero_real )
              | ~ ( ord_less_eq_real @ zero_zero_real @ SV41 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1787]) ).

thf(2137,plain,
    ! [SV42: real] :
      ( ( ( ~ ( ( ord_less_eq_real @ zero_zero_real @ ( uminus_uminus_real @ SV42 ) )
              | ( ord_less_eq_real @ SV42 @ zero_zero_real ) ) )
        = $true )
      | ( ( ~ ( ~ ( ord_less_eq_real @ zero_zero_real @ ( uminus_uminus_real @ SV42 ) )
              | ~ ( ord_less_eq_real @ SV42 @ zero_zero_real ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1789]) ).

thf(2138,plain,
    ! [SV355: real,SV43: real] :
      ( ( ~ ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV43 ) @ SV355 )
            | ( ord_less_eq_real @ ( uminus_uminus_real @ SV355 ) @ SV43 ) )
        | ~ ( ~ ( ord_less_eq_real @ ( uminus_uminus_real @ SV43 ) @ SV355 )
            | ~ ( ord_less_eq_real @ ( uminus_uminus_real @ SV355 ) @ SV43 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1791]) ).

thf(2139,plain,
    ! [SV355: real,SV43: real] :
      ( ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV43 ) @ SV355 )
        = ( ord_less_eq_real @ ( uminus_uminus_real @ SV355 ) @ SV43 ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1791]) ).

thf(2140,plain,
    ! [SV356: real,SV44: real] :
      ( ( ~ ( ( ord_less_eq_real @ SV44 @ ( uminus_uminus_real @ SV356 ) )
            | ( ord_less_eq_real @ SV356 @ ( uminus_uminus_real @ SV44 ) ) )
        | ~ ( ~ ( ord_less_eq_real @ SV44 @ ( uminus_uminus_real @ SV356 ) )
            | ~ ( ord_less_eq_real @ SV356 @ ( uminus_uminus_real @ SV44 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1792]) ).

thf(2141,plain,
    ! [SV356: real,SV44: real] :
      ( ( ( ord_less_eq_real @ SV44 @ ( uminus_uminus_real @ SV356 ) )
        = ( ord_less_eq_real @ SV356 @ ( uminus_uminus_real @ SV44 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1792]) ).

thf(2142,plain,
    ! [SV360: denota231621370t_unit] :
      ( ( ! [SV643: oDE_a_c] :
            ( ( denota1896987029_a_b_c @ SV360 @ SV643 )
            = ( ^ [SY2371: finite1398487019real_c] : ( produc394644079real_c @ SY2371 @ ( denota1275485728_a_b_c @ SV360 @ SV643 @ SY2371 ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1796]) ).

thf(2143,plain,
    ! [SV360: denota231621370t_unit] :
      ( ( ( denota1896987029_a_b_c @ SV360 )
        = ( ^ [SY1897: oDE_a_c,SY1898: finite1398487019real_c] : ( produc394644079real_c @ SY1898 @ ( denota1275485728_a_b_c @ SV360 @ SY1897 @ SY1898 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1796]) ).

thf(2144,plain,
    ! [SV49: real] :
      ( ( ( ~ ( ( zero_zero_real = SV49 )
              | ( SV49 = zero_zero_real ) ) )
        = $true )
      | ( ( ~ ( ( zero_zero_real != SV49 )
              | ( SV49 != zero_zero_real ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1797]) ).

thf(2145,plain,
    ! [SV644: oDE_a_c,SV362: denota231621370t_unit,SV51: c] :
      ( ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SV51 ) @ ( denota1293057250_a_b_c @ SV362 @ SV644 ) )
        = ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SV51 ) @ ( denota1293057250_a_b_c @ SV362 @ SV644 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1800]) ).

thf(2146,plain,
    ! [SV363: set_Sum_sum_c_c,SV52: set_Sum_sum_c_c] :
      ( ( ~ ( ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SV52 ) @ ( uminus1381786404um_c_c @ SV363 ) )
            | ( ord_le1772180283um_c_c @ SV363 @ SV52 ) )
        | ~ ( ~ ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SV52 ) @ ( uminus1381786404um_c_c @ SV363 ) )
            | ~ ( ord_le1772180283um_c_c @ SV363 @ SV52 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1801]) ).

thf(2147,plain,
    ! [SV363: set_Sum_sum_c_c,SV52: set_Sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SV52 ) @ ( uminus1381786404um_c_c @ SV363 ) )
        = ( ord_le1772180283um_c_c @ SV363 @ SV52 ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1801]) ).

thf(2148,plain,
    ! [SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ! [SY2372: formula_a_b_c] :
            ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ ( equiv_a_b_c @ SV645 @ SY2372 ) ) )
            = ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
              = ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SY2372 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1802]) ).

thf(2149,plain,
    ! [SV365: set_Sum_sum_c_c,SV55: set_Sum_sum_c_c] :
      ( ( ~ ( ( ( uminus1381786404um_c_c @ SV55 )
              = ( uminus1381786404um_c_c @ SV365 ) )
            | ( SV55 = SV365 ) )
        | ~ ( ( ( uminus1381786404um_c_c @ SV55 )
             != ( uminus1381786404um_c_c @ SV365 ) )
            | ( SV55 != SV365 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1803]) ).

thf(2150,plain,
    ! [SV365: set_Sum_sum_c_c,SV55: set_Sum_sum_c_c] :
      ( ( ( ( uminus1381786404um_c_c @ SV55 )
          = ( uminus1381786404um_c_c @ SV365 ) )
        = ( SV55 = SV365 ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1803]) ).

thf(2151,plain,
    ! [SV368: set_Sum_sum_c_c,SV58: set_Sum_sum_c_c] :
      ( ( ~ ( ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SV58 ) @ ( uminus1381786404um_c_c @ SV368 ) )
            | ( ord_le1772180283um_c_c @ SV368 @ SV58 ) )
        | ~ ( ~ ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SV58 ) @ ( uminus1381786404um_c_c @ SV368 ) )
            | ~ ( ord_le1772180283um_c_c @ SV368 @ SV58 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1806]) ).

thf(2152,plain,
    ! [SV368: set_Sum_sum_c_c,SV58: set_Sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SV58 ) @ ( uminus1381786404um_c_c @ SV368 ) )
        = ( ord_le1772180283um_c_c @ SV368 @ SV58 ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1806]) ).

thf(2153,plain,
    ! [SV369: set_Sum_sum_c_c,SV59: set_Sum_sum_c_c] :
      ( ( ~ ( ( ( uminus1381786404um_c_c @ SV59 )
              = ( uminus1381786404um_c_c @ SV369 ) )
            | ( SV59 = SV369 ) )
        | ~ ( ( ( uminus1381786404um_c_c @ SV59 )
             != ( uminus1381786404um_c_c @ SV369 ) )
            | ( SV59 != SV369 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1807]) ).

thf(2154,plain,
    ! [SV369: set_Sum_sum_c_c,SV59: set_Sum_sum_c_c] :
      ( ( ( ( uminus1381786404um_c_c @ SV59 )
          = ( uminus1381786404um_c_c @ SV369 ) )
        = ( SV59 = SV369 ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1807]) ).

thf(2155,plain,
    ! [SV370: set_c,SV60: c] :
      ( ( ~ ( ( member_c @ SV60 @ ( uminus_uminus_set_c @ SV370 ) )
            | ~ ( member_c @ SV60 @ SV370 ) )
        | ~ ( ~ ( member_c @ SV60 @ ( uminus_uminus_set_c @ SV370 ) )
            | ~ ~ ( member_c @ SV60 @ SV370 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1808]) ).

thf(2156,plain,
    ! [SV370: set_c,SV60: c] :
      ( ( ( member_c @ SV60 @ ( uminus_uminus_set_c @ SV370 ) )
        = ( ~ ( member_c @ SV60 @ SV370 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1808]) ).

thf(2157,plain,
    ! [SV371: set_Sum_sum_c_d,SV61: sum_sum_c_d] :
      ( ( ~ ( ( member_Sum_sum_c_d @ SV61 @ ( uminus373867045um_c_d @ SV371 ) )
            | ~ ( member_Sum_sum_c_d @ SV61 @ SV371 ) )
        | ~ ( ~ ( member_Sum_sum_c_d @ SV61 @ ( uminus373867045um_c_d @ SV371 ) )
            | ~ ~ ( member_Sum_sum_c_d @ SV61 @ SV371 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1809]) ).

thf(2158,plain,
    ! [SV371: set_Sum_sum_c_d,SV61: sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ SV61 @ ( uminus373867045um_c_d @ SV371 ) )
        = ( ~ ( member_Sum_sum_c_d @ SV61 @ SV371 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1809]) ).

thf(2159,plain,
    ! [SV372: set_Pr1389752855real_c,SV62: produc190496183real_c] :
      ( ( ~ ( ( member1895684704real_c @ SV62 @ ( uminus232257166real_c @ SV372 ) )
            | ~ ( member1895684704real_c @ SV62 @ SV372 ) )
        | ~ ( ~ ( member1895684704real_c @ SV62 @ ( uminus232257166real_c @ SV372 ) )
            | ~ ~ ( member1895684704real_c @ SV62 @ SV372 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1810]) ).

thf(2160,plain,
    ! [SV372: set_Pr1389752855real_c,SV62: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV62 @ ( uminus232257166real_c @ SV372 ) )
        = ( ~ ( member1895684704real_c @ SV62 @ SV372 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1810]) ).

thf(2161,plain,
    ! [SV373: set_re2066790124real_c,SV63: real > finite1398487019real_c] :
      ( ( ~ ( ( member1321351885real_c @ SV63 @ ( uminus946614837real_c @ SV373 ) )
            | ~ ( member1321351885real_c @ SV63 @ SV373 ) )
        | ~ ( ~ ( member1321351885real_c @ SV63 @ ( uminus946614837real_c @ SV373 ) )
            | ~ ~ ( member1321351885real_c @ SV63 @ SV373 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1811]) ).

thf(2162,plain,
    ! [SV373: set_re2066790124real_c,SV63: real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ SV63 @ ( uminus946614837real_c @ SV373 ) )
        = ( ~ ( member1321351885real_c @ SV63 @ SV373 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1811]) ).

thf(2163,plain,
    ! [SV374: set_Sum_sum_c_c,SV64: sum_sum_c_c] :
      ( ( ~ ( ( member_Sum_sum_c_c @ SV64 @ ( uminus1381786404um_c_c @ SV374 ) )
            | ~ ( member_Sum_sum_c_c @ SV64 @ SV374 ) )
        | ~ ( ~ ( member_Sum_sum_c_c @ SV64 @ ( uminus1381786404um_c_c @ SV374 ) )
            | ~ ~ ( member_Sum_sum_c_c @ SV64 @ SV374 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1812]) ).

thf(2164,plain,
    ! [SV374: set_Sum_sum_c_c,SV64: sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ SV64 @ ( uminus1381786404um_c_c @ SV374 ) )
        = ( ~ ( member_Sum_sum_c_c @ SV64 @ SV374 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1812]) ).

thf(2165,plain,
    ! [SV646: set_c,SV375: c > sum_sum_c_c,SV66: sum_sum_c_c > sum_sum_c_c] :
      ( ( ( image_666880337um_c_c @ SV66 @ ( image_c_Sum_sum_c_c @ SV375 @ SV646 ) )
        = ( image_c_Sum_sum_c_c
          @ ^ [SY1903: c] : ( SV66 @ ( SV375 @ SY1903 ) )
          @ SV646 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1813]) ).

thf(2166,plain,
    ! [SV647: set_c,SV376: c > sum_sum_c_c,SV67: sum_sum_c_c > sum_sum_c_d] :
      ( ( ( image_675141842um_c_d @ SV67 @ ( image_c_Sum_sum_c_c @ SV376 @ SV647 ) )
        = ( image_c_Sum_sum_c_d
          @ ^ [SY1905: c] : ( SV67 @ ( SV376 @ SY1905 ) )
          @ SV647 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1814]) ).

thf(2167,plain,
    ! [SV648: set_c,SV377: c > sum_sum_c_d,SV68: sum_sum_c_d > sum_sum_c_c] :
      ( ( ( image_1558941394um_c_c @ SV68 @ ( image_c_Sum_sum_c_d @ SV377 @ SV648 ) )
        = ( image_c_Sum_sum_c_c
          @ ^ [SY1907: c] : ( SV68 @ ( SV377 @ SY1907 ) )
          @ SV648 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1815]) ).

thf(2168,plain,
    ! [SV649: set_c,SV378: c > sum_sum_c_d,SV69: sum_sum_c_d > sum_sum_c_d] :
      ( ( ( image_1567202899um_c_d @ SV69 @ ( image_c_Sum_sum_c_d @ SV378 @ SV649 ) )
        = ( image_c_Sum_sum_c_d
          @ ^ [SY1909: c] : ( SV69 @ ( SV378 @ SY1909 ) )
          @ SV649 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1816]) ).

thf(2169,plain,
    ! [SV650: set_c,SV379: c > c,SV70: c > sum_sum_c_c] :
      ( ( ( image_c_Sum_sum_c_c @ SV70 @ ( image_c_c @ SV379 @ SV650 ) )
        = ( image_c_Sum_sum_c_c
          @ ^ [SY1911: c] : ( SV70 @ ( SV379 @ SY1911 ) )
          @ SV650 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1817]) ).

thf(2170,plain,
    ! [SV651: set_c,SV380: c > c,SV71: c > sum_sum_c_d] :
      ( ( ( image_c_Sum_sum_c_d @ SV71 @ ( image_c_c @ SV380 @ SV651 ) )
        = ( image_c_Sum_sum_c_d
          @ ^ [SY1913: c] : ( SV71 @ ( SV380 @ SY1913 ) )
          @ SV651 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1818]) ).

thf(2171,plain,
    ! [SV381: set_Sum_sum_c_c] :
      ( ( ! [SV652: set_Sum_sum_c_c] :
            ( ( ord_le1772180283um_c_c @ SV381 @ SV652 )
            = ( ord_le1315653386_c_c_o
              @ ^ [SY1915: sum_sum_c_c] : ( member_Sum_sum_c_c @ SY1915 @ SV381 )
              @ ^ [SY2380: sum_sum_c_c] : ( member_Sum_sum_c_c @ SY2380 @ SV652 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1819]) ).

thf(2172,plain,
    ! [SV381: set_Sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ SV381 )
        = ( ^ [SY1914: set_Sum_sum_c_c] :
              ( ord_le1315653386_c_c_o
              @ ^ [SY1915: sum_sum_c_c] : ( member_Sum_sum_c_c @ SY1915 @ SV381 )
              @ ^ [X3: sum_sum_c_c] : ( member_Sum_sum_c_c @ X3 @ SY1914 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1819]) ).

thf(2173,plain,
    ! [SV382: set_c] :
      ( ( ! [SV653: set_c] :
            ( ( ord_less_eq_set_c @ SV382 @ SV653 )
            = ( ord_less_eq_c_o
              @ ^ [SY1918: c] : ( member_c @ SY1918 @ SV382 )
              @ ^ [SY2382: c] : ( member_c @ SY2382 @ SV653 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1820]) ).

thf(2174,plain,
    ! [SV382: set_c] :
      ( ( ( ord_less_eq_set_c @ SV382 )
        = ( ^ [SY1917: set_c] :
              ( ord_less_eq_c_o
              @ ^ [SY1918: c] : ( member_c @ SY1918 @ SV382 )
              @ ^ [X3: c] : ( member_c @ X3 @ SY1917 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1820]) ).

thf(2175,plain,
    ! [SV383: set_Sum_sum_c_d] :
      ( ( ! [SV654: set_Sum_sum_c_d] :
            ( ( ord_le764260924um_c_d @ SV383 @ SV654 )
            = ( ord_le2143422793_c_d_o
              @ ^ [SY1921: sum_sum_c_d] : ( member_Sum_sum_c_d @ SY1921 @ SV383 )
              @ ^ [SY2384: sum_sum_c_d] : ( member_Sum_sum_c_d @ SY2384 @ SV654 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1821]) ).

thf(2176,plain,
    ! [SV383: set_Sum_sum_c_d] :
      ( ( ( ord_le764260924um_c_d @ SV383 )
        = ( ^ [SY1920: set_Sum_sum_c_d] :
              ( ord_le2143422793_c_d_o
              @ ^ [SY1921: sum_sum_c_d] : ( member_Sum_sum_c_d @ SY1921 @ SV383 )
              @ ^ [X3: sum_sum_c_d] : ( member_Sum_sum_c_d @ X3 @ SY1920 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1821]) ).

thf(2177,plain,
    ! [SV384: set_Pr1389752855real_c] :
      ( ( ! [SV655: set_Pr1389752855real_c] :
            ( ( ord_le977353143real_c @ SV384 @ SV655 )
            = ( ord_le1132241894al_c_o
              @ ^ [SY1924: produc190496183real_c] : ( member1895684704real_c @ SY1924 @ SV384 )
              @ ^ [SY2386: produc190496183real_c] : ( member1895684704real_c @ SY2386 @ SV655 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1822]) ).

thf(2178,plain,
    ! [SV384: set_Pr1389752855real_c] :
      ( ( ( ord_le977353143real_c @ SV384 )
        = ( ^ [SY1923: set_Pr1389752855real_c] :
              ( ord_le1132241894al_c_o
              @ ^ [SY1924: produc190496183real_c] : ( member1895684704real_c @ SY1924 @ SV384 )
              @ ^ [X3: produc190496183real_c] : ( member1895684704real_c @ X3 @ SY1923 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1822]) ).

thf(2179,plain,
    ! [SV385: set_re2066790124real_c] :
      ( ( ! [SV656: set_re2066790124real_c] :
            ( ( ord_le35002188real_c @ SV385 @ SV656 )
            = ( ord_le818951225al_c_o
              @ ^ [SY1927: real > finite1398487019real_c] : ( member1321351885real_c @ SY1927 @ SV385 )
              @ ^ [SY2388: real > finite1398487019real_c] : ( member1321351885real_c @ SY2388 @ SV656 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1823]) ).

thf(2180,plain,
    ! [SV385: set_re2066790124real_c] :
      ( ( ( ord_le35002188real_c @ SV385 )
        = ( ^ [SY1926: set_re2066790124real_c] :
              ( ord_le818951225al_c_o
              @ ^ [SY1927: real > finite1398487019real_c] : ( member1321351885real_c @ SY1927 @ SV385 )
              @ ^ [X3: real > finite1398487019real_c] : ( member1321351885real_c @ X3 @ SY1926 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1823]) ).

thf(2181,plain,
    ! [SV398: produc190496183real_c] :
      ( ( ! [SV657: c] :
            ( ( denotational_repd_c @ SV398 @ SV657 )
            = ( ^ [SY2389: real] :
                  ( produc394644079real_c @ ( produc2010422875real_c @ SV398 )
                  @ ( finite557796307c_real
                    @ ^ [SY2390: c] : ( if_real @ ( SV657 = SY2390 ) @ SY2389 @ ( finite772340578real_c @ ( produc314122909real_c @ SV398 ) @ SY2390 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1836]) ).

thf(2182,plain,
    ! [SV398: produc190496183real_c] :
      ( ( ( denotational_repd_c @ SV398 )
        = ( ^ [SY1941: c,SY1942: real] :
              ( produc394644079real_c @ ( produc2010422875real_c @ SV398 )
              @ ( finite557796307c_real
                @ ^ [SY1943: c] : ( if_real @ ( SY1941 = SY1943 ) @ SY1942 @ ( finite772340578real_c @ ( produc314122909real_c @ SV398 ) @ SY1943 ) ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1836]) ).

thf(2183,plain,
    ! [SV658: set_Sum_sum_c_c,SV399: set_c,SV93: c > sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV93 @ SV399 ) @ SV658 )
        = ( member_c_Sum_sum_c_c @ SV93
          @ ( pi_c_Sum_sum_c_c @ SV399
            @ ^ [SY2391: c] : SV658 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1837]) ).

thf(2184,plain,
    ! [SV659: set_Sum_sum_c_d,SV400: set_c,SV94: c > sum_sum_c_d] :
      ( ( ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV94 @ SV400 ) @ SV659 )
        = ( member_c_Sum_sum_c_d @ SV94
          @ ( pi_c_Sum_sum_c_d @ SV400
            @ ^ [SY2392: c] : SV659 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1838]) ).

thf(2185,plain,
    ! [SV660: set_Fi1407883041real_c,SV401: set_real,SV95: real > finite1398487019real_c] :
      ( ( ( ord_le1327118209real_c @ ( image_327677598real_c @ SV95 @ SV401 ) @ SV660 )
        = ( member1321351885real_c @ SV95
          @ ( pi_rea1111636068real_c @ SV401
            @ ^ [SY2393: real] : SV660 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1839]) ).

thf(2186,plain,
    ! [SV98: $o] :
      ( ( ( ~ ( SV98
              | $true )
          | ~ ( ~ SV98
              | ~ $true ) )
        = $true )
      | ( ( SV98 = $false )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1842]) ).

thf(2187,plain,
    ! [SV98: $o] :
      ( ( ( SV98 = $true )
        = $true )
      | ( ( SV98 = $false )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1842]) ).

thf(2188,plain,
    ( ( ( ~ ( $true
            | $true )
        | ~ ( ~ $true
            | ~ $true ) )
      = $true )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1843]) ).

thf(2189,plain,
    ( ( ( $true = $true )
      = $true )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1843]) ).

thf(2190,plain,
    ( ( ( ~ ( $false
            | $true )
        | ~ ( ~ $false
            | ~ $true ) )
      = $true )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1844]) ).

thf(2191,plain,
    ( ( ( $false = $true )
      = $true )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1844]) ).

thf(2192,plain,
    ! [SV661: sum_sum_c_d,SV406: set_Sum_sum_c_d,SV101: set_Sum_sum_c_d] :
      ( ( ~ ( ord_le764260924um_c_d @ SV101 @ SV406 )
        | ~ ( member_Sum_sum_c_d @ SV661 @ SV101 )
        | ( member_Sum_sum_c_d @ SV661 @ SV406 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1847]) ).

thf(2193,plain,
    ! [SV407: set_Sum_sum_c_d,SV102: set_Sum_sum_c_d] :
      ( ( ( ~ ! [SY1951: sum_sum_c_d] :
                ( ~ ( member_Sum_sum_c_d @ SY1951 @ SV102 )
                | ( member_Sum_sum_c_d @ SY1951 @ SV407 ) ) )
        = $true )
      | ( ( ord_le764260924um_c_d @ SV102 @ SV407 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1848]) ).

thf(2194,plain,
    ! [SV662: set_Fi1407883041real_c,SV408: set_real,SV103: real > finite1398487019real_c] :
      ( ( ! [SY2394: real] :
            ( ~ ( member1321351885real_c @ SV103
                @ ( pi_rea1111636068real_c @ SV408
                  @ ^ [SY2395: real] : SV662 ) )
            | ~ ( member_real @ SY2394 @ SV408 )
            | ( member1261661570real_c @ ( SV103 @ SY2394 ) @ SV662 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1849]) ).

thf(2195,plain,
    ! [SV663: sum_sum_c_c > set_c,SV409: set_Sum_sum_c_c,SV104: sum_sum_c_c > c] :
      ( ( ! [SY2396: sum_sum_c_c] :
            ( ~ ( member_Sum_sum_c_c_c @ SV104 @ ( pi_Sum_sum_c_c_c @ SV409 @ SV663 ) )
            | ~ ( member_Sum_sum_c_c @ SY2396 @ SV409 )
            | ( member_c @ ( SV104 @ SY2396 ) @ ( SV663 @ SY2396 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1850]) ).

thf(2196,plain,
    ! [SV664: c,SV410: set_c,SV105: set_c] :
      ( ( ~ ( ord_less_eq_set_c @ SV105 @ SV410 )
        | ~ ( member_c @ SV664 @ SV105 )
        | ( member_c @ SV664 @ SV410 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1851]) ).

thf(2197,plain,
    ! [SV665: set_re2066790124real_c,SV411: set_re2066790124real_c,SV106: ( real > finite1398487019real_c ) > real > finite1398487019real_c] :
      ( ( ! [SY2397: real > finite1398487019real_c] :
            ( ~ ( member1851015714real_c @ SV106
                @ ( pi_rea1386151481real_c @ SV411
                  @ ^ [SY2398: real > finite1398487019real_c] : SV665 ) )
            | ~ ( member1321351885real_c @ SY2397 @ SV411 )
            | ( member1321351885real_c @ ( SV106 @ SY2397 ) @ SV665 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1852]) ).

thf(2198,plain,
    ! [SV666: finite1398487019real_c,SV412: finite1398487019real_c,SV107: finite1398487019real_c] :
      ( ( ! [SY2399: finite1398487019real_c] :
            ( ( ( produc394644079real_c @ SV107 @ SV412 )
              = ( produc394644079real_c @ SV666 @ SY2399 ) )
            = ( ~ ( ( SV107 != SV666 )
                  | ( SV412 != SY2399 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1853]) ).

thf(2199,plain,
    ! [SV667: c > $o,SV413: set_Sum_sum_c_d,SV108: sum_sum_c_d > c] :
      ( ( ( collect_c
          @ ^ [SY2400: c] :
              ~ ( ~ ( member_c @ SY2400 @ ( image_Sum_sum_c_d_c @ SV108 @ SV413 ) )
                | ~ ( SV667 @ SY2400 ) ) )
        = ( image_Sum_sum_c_d_c @ SV108
          @ ( collect_Sum_sum_c_d
            @ ^ [SY2401: sum_sum_c_d] :
                ~ ( ~ ( member_Sum_sum_c_d @ SY2401 @ SV413 )
                  | ~ ( SV667 @ ( SV108 @ SY2401 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1854]) ).

thf(2200,plain,
    ! [SV668: set_c,SV414: c > sum_sum_c_d,SV109: set_Sum_sum_c_d] :
      ( ( ( ord_le764260924um_c_d @ SV109 @ ( image_c_Sum_sum_c_d @ SV414 @ SV668 ) )
        = ( ~ ! [SY2402: set_c] :
                ~ ~ ( ~ ( ord_less_eq_set_c @ SY2402 @ SV668 )
                    | ( SV109
                     != ( image_c_Sum_sum_c_d @ SV414 @ SY2402 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1855]) ).

thf(2201,plain,
    ! [SV669: oDE_a_c,SV415: denota231621370t_unit,SV110: produc190496183real_c] :
      ( ( ! [SY2403: finite1398487019real_c] :
            ~ ! [SY2404: produc190496183real_c] :
                ~ ~ ( ~ ( denota1997846518gree_c @ SY2404 @ SV110 @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ SV415 @ SV669 ) ) )
                    | ~ ( denota1997846518gree_c @ SY2404 @ ( denota1896987029_a_b_c @ SV415 @ SV669 @ SY2403 ) @ ( denota1293057250_a_b_c @ SV415 @ SV669 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1856]) ).

thf(2202,plain,
    ( ( ( ~ ( fsafe_a_b_c @ phi ) )
      = $true )
    | ( ( ( ode != oDEa )
        | ( p != phi )
        | ~ ( ord_less_eq_real @ zero_zero_real @ t )
        | ( ( produc394644079real_c @ aa @ ba )
         != ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
        | ~ ( initia1631504802real_c @ sol
            @ ^ [SX0: real] : ( denota1275485728_a_b_c @ i @ oDEa )
            @ ( set_or656347191t_real @ zero_zero_real @ t )
            @ ( collec230941376real_c
              @ ^ [SX0: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ SX0 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) )
        | ~ ( denota256060419gree_c @ ( sol @ zero_zero_real ) @ ab
            @ ( collect_c
              @ ^ [SX0: c] :
                  ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_BVO_a_c @ oDEa ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( static_FVO_a_c @ oDEa ) ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_FVF_a_b_c @ phi ) ) ) ) )
        | ( ab
          = ( finite557796307c_real
            @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
      = $true )
    | ( ( osafe_a_c @ oDEa )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1857]) ).

thf(2203,plain,
    ! [SV416: oDE_a_c,SV111: c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SV111 ) @ ( static_BVO_a_c @ SV416 ) ) )
        = $true )
      | ( ( member_c @ SV111 @ ( static_FVO_a_c @ SV416 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1858]) ).

thf(2204,plain,
    ! [SV670: produc190496183real_c,SV417: produc190496183real_c,SV112: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV112 @ ( set_or385782508real_c @ SV417 @ SV670 ) )
        = ( ~ ( ~ ( ord_le850691415real_c @ SV417 @ SV112 )
              | ~ ( ord_le850691415real_c @ SV112 @ SV670 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1859]) ).

thf(2205,plain,
    ! [SV671: c,SV418: c > sum_sum_c_d,SV113: sum_sum_c_d] :
      ( ( ! [SY2405: set_c] :
            ( ( SV113
             != ( SV418 @ SV671 ) )
            | ~ ( member_c @ SV671 @ SY2405 )
            | ( member_Sum_sum_c_d @ SV113 @ ( image_c_Sum_sum_c_d @ SV418 @ SY2405 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1860]) ).

thf(2206,plain,
    ! [SV419: c,SV114: c] :
      ( ( ( sum_Inl_c_c @ SV114 )
        = ( sum_Inr_c_c @ SV419 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1861]) ).

thf(2207,plain,
    ! [SV672: set_c,SV420: c > sum_sum_c_d,SV115: sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ SV115 @ ( image_c_Sum_sum_c_d @ SV420 @ SV672 ) )
        = ( ~ ! [SY2406: c] :
                ~ ~ ( ~ ( member_c @ SY2406 @ SV672 )
                    | ( SV115
                     != ( SV420 @ SY2406 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1862]) ).

thf(2208,plain,
    ! [SV673: set_re2066790124real_c,SV421: c > real > finite1398487019real_c,SV116: set_c] :
      ( ( ~ ! [SY2407: c] :
              ( ~ ( member_c @ SY2407 @ SV116 )
              | ( member1321351885real_c @ ( SV421 @ SY2407 ) @ SV673 ) )
        | ( member469531344real_c @ SV421
          @ ( pi_c_r41638571real_c @ SV116
            @ ^ [SY2408: c] : SV673 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1863]) ).

thf(2209,plain,
    ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      | ( ( finite772340578real_c @ ( produc314122909real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) ) @ i2 )
        = ( finite772340578real_c @ ( denota1275485728_a_b_c @ i @ oDEa @ ( sol @ x ) ) @ i2 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1864]) ).

thf(2210,plain,
    ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      | ( ( finite772340578real_c @ ( produc314122909real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) ) @ i2 )
        = ( finite772340578real_c @ ( denota1275485728_a_b_c @ i @ oDEa @ ( sol @ x ) ) @ i2 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1865]) ).

thf(2211,plain,
    ! [SV674: real,SV422: real,SV117: real] :
      ( ( ( member_real @ SV117 @ ( set_or656347191t_real @ SV422 @ SV674 ) )
        = ( ~ ( ~ ( ord_less_eq_real @ SV422 @ SV117 )
              | ~ ( ord_less_eq_real @ SV117 @ SV674 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1866]) ).

thf(2212,plain,
    ! [SV675: set_Sum_sum_c_c,SV423: sum_sum_c_c > c,SV118: c] :
      ( ( ~ ( member_c @ SV118 @ ( image_Sum_sum_c_c_c @ SV423 @ SV675 ) )
        | ~ ! [SY2409: sum_sum_c_c] :
              ( ( SV118
               != ( SV423 @ SY2409 ) )
              | ~ ( member_Sum_sum_c_c @ SY2409 @ SV675 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1867]) ).

thf(2213,plain,
    ! [SV424: finite1398487019real_c] :
      ( ( ! [SV676: finite1398487019real_c] :
            ( ( denota256060419gree_c @ SV424 @ SV676 )
            = ( ^ [SY2410: set_c] :
                ! [SY2411: c] :
                  ( ~ ( member_c @ SY2411 @ SY2410 )
                  | ( ( finite772340578real_c @ SV424 @ SY2411 )
                    = ( finite772340578real_c @ SV676 @ SY2411 ) ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1868]) ).

thf(2214,plain,
    ! [SV424: finite1398487019real_c] :
      ( ( ( denota256060419gree_c @ SV424 )
        = ( ^ [SY1982: finite1398487019real_c,SY1983: set_c] :
            ! [SY1984: c] :
              ( ~ ( member_c @ SY1984 @ SY1983 )
              | ( ( finite772340578real_c @ SV424 @ SY1984 )
                = ( finite772340578real_c @ SY1982 @ SY1984 ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1868]) ).

thf(2215,plain,
    ! [SV677: set_Sum_sum_c_c,SV425: sum_sum_c_d > sum_sum_c_c,SV120: set_Sum_sum_c_d] :
      ( ( ~ ! [SY2412: sum_sum_c_d] :
              ( ~ ( member_Sum_sum_c_d @ SY2412 @ SV120 )
              | ( member_Sum_sum_c_c @ ( SV425 @ SY2412 ) @ SV677 ) )
        | ( ord_le1772180283um_c_c @ ( image_1558941394um_c_c @ SV425 @ SV120 ) @ SV677 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1869]) ).

thf(2216,plain,
    ! [SV427: set_Sum_sum_c_c,SV122: set_Sum_sum_c_c] :
      ( ( ( ~ ( ord_le1772180283um_c_c @ SV122 @ SV427 ) )
        = $true )
      | ( ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SV427 ) @ ( uminus1381786404um_c_c @ SV122 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1871]) ).

thf(2217,plain,
    ! [SV678: sum_sum_c_d > $o,SV428: set_Sum_sum_c_c,SV123: sum_sum_c_c > sum_sum_c_d] :
      ( ( ( collect_Sum_sum_c_d
          @ ^ [SY2413: sum_sum_c_d] :
              ~ ( ~ ( member_Sum_sum_c_d @ SY2413 @ ( image_675141842um_c_d @ SV123 @ SV428 ) )
                | ~ ( SV678 @ SY2413 ) ) )
        = ( image_675141842um_c_d @ SV123
          @ ( collect_Sum_sum_c_c
            @ ^ [SY2414: sum_sum_c_c] :
                ~ ( ~ ( member_Sum_sum_c_c @ SY2414 @ SV428 )
                  | ~ ( SV678 @ ( SV123 @ SY2414 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1872]) ).

thf(2218,plain,
    ! [SV679: sum_sum_c_c > set_Sum_sum_c_d,SV429: sum_sum_c_c > sum_sum_c_d,SV124: set_Sum_sum_c_c] :
      ( ( ~ ! [SY2415: sum_sum_c_c] :
              ( ~ ( member_Sum_sum_c_c @ SY2415 @ SV124 )
              | ( member_Sum_sum_c_d @ ( SV429 @ SY2415 ) @ ( SV679 @ SY2415 ) ) )
        | ( member318754689um_c_d @ SV429 @ ( pi_Sum261268376um_c_d @ SV124 @ SV679 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1873]) ).

thf(2219,plain,
    ! [SV430: set_Sum_sum_c_d] :
      ( ( ! [SV680: set_Sum_sum_c_d] :
            ( ( ord_le764260924um_c_d @ SV430 @ SV680 )
            = ( ! [SY2416: sum_sum_c_d] :
                  ( ~ ( member_Sum_sum_c_d @ SY2416 @ SV430 )
                  | ( member_Sum_sum_c_d @ SY2416 @ SV680 ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1874]) ).

thf(2220,plain,
    ! [SV430: set_Sum_sum_c_d] :
      ( ( ( ord_le764260924um_c_d @ SV430 )
        = ( ^ [SY1993: set_Sum_sum_c_d] :
            ! [SY1994: sum_sum_c_d] :
              ( ~ ( member_Sum_sum_c_d @ SY1994 @ SV430 )
              | ( member_Sum_sum_c_d @ SY1994 @ SY1993 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1874]) ).

thf(2221,plain,
    ! [SV681: sum_sum_c_d > set_c,SV431: sum_sum_c_d > c,SV126: set_Sum_sum_c_d] :
      ( ( ~ ! [SY2417: sum_sum_c_d] :
              ( ~ ( member_Sum_sum_c_d @ SY2417 @ SV126 )
              | ( member_c @ ( SV431 @ SY2417 ) @ ( SV681 @ SY2417 ) ) )
        | ( member_Sum_sum_c_d_c @ SV431 @ ( pi_Sum_sum_c_d_c @ SV126 @ SV681 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1875]) ).

thf(2222,plain,
    ! [SV432: set_Sum_sum_c_c,SV127: set_Sum_sum_c_c] :
      ( ( ( ~ ( ord_le1772180283um_c_c @ SV127 @ SV432 ) )
        = $true )
      | ( ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SV432 ) @ ( uminus1381786404um_c_c @ SV127 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1876]) ).

thf(2223,plain,
    ! [SV682: c > sum_sum_c_c,SV433: set_c,SV128: set_c] :
      ( ( ~ ( ord_less_eq_set_c @ SV128 @ SV433 )
        | ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV682 @ SV128 ) @ ( image_c_Sum_sum_c_c @ SV682 @ SV433 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1877]) ).

thf(2224,plain,
    ( ( denota1997846518gree_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) @ ( produc394644079real_c @ ab @ bb ) @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ i @ oDEa ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1878]) ).

thf(2225,plain,
    ( ( denota1997846518gree_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) @ ( denota1896987029_a_b_c @ i @ oDEa @ ( sol @ x ) ) @ ( denota1293057250_a_b_c @ i @ oDEa ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1879]) ).

thf(2226,plain,
    ! [SV683: sum_sum_c_c > $o,SV434: set_c,SV129: c > sum_sum_c_c] :
      ( ( ~ ! [SY2418: sum_sum_c_c] :
              ( ~ ( member_Sum_sum_c_c @ SY2418 @ ( image_c_Sum_sum_c_c @ SV129 @ SV434 ) )
              | ( SV683 @ SY2418 ) )
        | ! [SY2419: c] :
            ( ~ ( member_c @ SY2419 @ SV434 )
            | ( SV683 @ ( SV129 @ SY2419 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1880]) ).

thf(2227,plain,
    ! [SV684: set_Sum_sum_c_d,SV435: sum_sum_c_c > sum_sum_c_d,SV130: set_Sum_sum_c_c] :
      ( ( ~ ! [SY2420: sum_sum_c_c] :
              ( ~ ( member_Sum_sum_c_c @ SY2420 @ SV130 )
              | ( member_Sum_sum_c_d @ ( SV435 @ SY2420 ) @ SV684 ) )
        | ( ord_le764260924um_c_d @ ( image_675141842um_c_d @ SV435 @ SV130 ) @ SV684 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1881]) ).

thf(2228,plain,
    ! [SV685: c > set_Sum_sum_c_c,SV436: set_c,SV131: c > sum_sum_c_c] :
      ( ( ! [SY2421: c] :
            ( ~ ( member_c_Sum_sum_c_c @ SV131 @ ( pi_c_Sum_sum_c_c @ SV436 @ SV685 ) )
            | ~ ( member_c @ SY2421 @ SV436 )
            | ( member_Sum_sum_c_c @ ( SV131 @ SY2421 ) @ ( SV685 @ SY2421 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1882]) ).

thf(2229,plain,
    ! [SV437: set_re2066790124real_c] :
      ( ( ! [SV686: set_re2066790124real_c] :
            ( ( ord_le35002188real_c @ SV437 @ SV686 )
            = ( ! [SY2422: real > finite1398487019real_c] :
                  ( ~ ( member1321351885real_c @ SY2422 @ SV437 )
                  | ( member1321351885real_c @ SY2422 @ SV686 ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1883]) ).

thf(2230,plain,
    ! [SV437: set_re2066790124real_c] :
      ( ( ( ord_le35002188real_c @ SV437 )
        = ( ^ [SY2005: set_re2066790124real_c] :
            ! [SY2006: real > finite1398487019real_c] :
              ( ~ ( member1321351885real_c @ SY2006 @ SV437 )
              | ( member1321351885real_c @ SY2006 @ SY2005 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1883]) ).

thf(2231,plain,
    ! [SV687: c > set_Sum_sum_c_d,SV438: set_c,SV133: c > sum_sum_c_d] :
      ( ( ! [SY2423: c] :
            ( ~ ( member_c_Sum_sum_c_d @ SV133 @ ( pi_c_Sum_sum_c_d @ SV438 @ SV687 ) )
            | ~ ( member_c @ SY2423 @ SV438 )
            | ( member_Sum_sum_c_d @ ( SV133 @ SY2423 ) @ ( SV687 @ SY2423 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1884]) ).

thf(2232,plain,
    ! [SV688: c > set_Sum_sum_c_d,SV439: set_c,SV134: c > sum_sum_c_d] :
      ( ( ! [SY2424: c] :
            ( ~ ( member_c_Sum_sum_c_d @ SV134 @ ( pi_c_Sum_sum_c_d @ SV439 @ SV688 ) )
            | ~ ~ ( member_Sum_sum_c_d @ ( SV134 @ SY2424 ) @ ( SV688 @ SY2424 ) )
            | ~ ( member_c @ SY2424 @ SV439 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1885]) ).

thf(2233,plain,
    ! [SV440: produc190496183real_c,SV135: produc190496183real_c > $o] :
      ( ( ( ~ ! [SY1346: finite1398487019real_c,SY1347: finite1398487019real_c] : ( SV135 @ ( produc394644079real_c @ SY1346 @ SY1347 ) ) )
        = $true )
      | ( ( SV135 @ SV440 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1886]) ).

thf(2234,plain,
    ! [SV689: set_c,SV441: c > c,SV136: set_c] :
      ( ( ~ ! [SY2425: c] :
              ( ~ ( member_c @ SY2425 @ SV136 )
              | ( member_c @ ( SV441 @ SY2425 ) @ SV689 ) )
        | ( member_c_c @ SV441
          @ ( pi_c_c @ SV136
            @ ^ [SY2426: c] : SV689 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1887]) ).

thf(2235,plain,
    ! [SV442: finite1398487019real_c > $o,SV137: finite1398487019real_c > $o] :
      ( ( ( ~ ! [SY2016: finite1398487019real_c] :
                ( ( SV137 @ SY2016 )
                = ( SV442 @ SY2016 ) ) )
        = $true )
      | ( ( ( collec230941376real_c @ SV137 )
          = ( collec230941376real_c @ SV442 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1888]) ).

thf(2236,plain,
    ! [SV443: produc190496183real_c,SV138: produc190496183real_c > $o] :
      ( ( ( ~ ! [SY1355: finite1398487019real_c,SY1356: finite1398487019real_c] : ( SV138 @ ( produc394644079real_c @ SY1355 @ SY1356 ) ) )
        = $true )
      | ( ( SV138 @ SV443 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1889]) ).

thf(2237,plain,
    ! [SV690: set_c,SV444: set_re2066790124real_c,SV139: ( real > finite1398487019real_c ) > c] :
      ( ( ! [SY2427: real > finite1398487019real_c] :
            ( ~ ( member527957930al_c_c @ SV139
                @ ( pi_rea1228756413al_c_c @ SV444
                  @ ^ [SY2428: real > finite1398487019real_c] : SV690 ) )
            | ~ ( member1321351885real_c @ SY2427 @ SV444 )
            | ( member_c @ ( SV139 @ SY2427 ) @ SV690 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1890]) ).

thf(2238,plain,
    ! [SV691: set_c,SV445: c > c,SV140: c] :
      ( ( ~ ( member_c @ SV140 @ ( image_c_c @ SV445 @ SV691 ) )
        | ~ ! [SY2429: c] :
              ( ( SV140
               != ( SV445 @ SY2429 ) )
              | ~ ( member_c @ SY2429 @ SV691 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1891]) ).

thf(2239,plain,
    ! [SV446: finite1398487019real_c > $o,SV141: finite1398487019real_c > $o] :
      ( ( ~ ( ( ord_le1327118209real_c @ ( collec230941376real_c @ SV141 ) @ ( collec230941376real_c @ SV446 ) )
            | ! [SY2024: finite1398487019real_c] :
                ( ~ ( SV141 @ SY2024 )
                | ( SV446 @ SY2024 ) ) )
        | ~ ( ~ ( ord_le1327118209real_c @ ( collec230941376real_c @ SV141 ) @ ( collec230941376real_c @ SV446 ) )
            | ~ ! [SY2024: finite1398487019real_c] :
                  ( ~ ( SV141 @ SY2024 )
                  | ( SV446 @ SY2024 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1892]) ).

thf(2240,plain,
    ! [SV446: finite1398487019real_c > $o,SV141: finite1398487019real_c > $o] :
      ( ( ( ord_le1327118209real_c @ ( collec230941376real_c @ SV141 ) @ ( collec230941376real_c @ SV446 ) )
        = ( ! [SY2024: finite1398487019real_c] :
              ( ~ ( SV141 @ SY2024 )
              | ( SV446 @ SY2024 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1892]) ).

thf(2241,plain,
    ! [SV692: set_c,SV447: c > sum_sum_c_d,SV142: sum_sum_c_d] :
      ( ( ~ ( member_Sum_sum_c_d @ SV142 @ ( image_c_Sum_sum_c_d @ SV447 @ SV692 ) )
        | ~ ! [SY2430: c] :
              ( ( SV142
               != ( SV447 @ SY2430 ) )
              | ~ ( member_c @ SY2430 @ SV692 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1893]) ).

thf(2242,plain,
    ! [SV693: real > finite1398487019real_c,SV448: real > finite1398487019real_c,SV143: set_real] :
      ( ( ! [SY2431: real > set_Fi1407883041real_c] :
            ( ~ ! [SY2432: real] :
                  ( ~ ( member_real @ SY2432 @ SV143 )
                  | ( ( SV448 @ SY2432 )
                    = ( SV693 @ SY2432 ) ) )
            | ( ( member1321351885real_c @ SV448 @ ( pi_rea1111636068real_c @ SV143 @ SY2431 ) )
              = ( member1321351885real_c @ SV693 @ ( pi_rea1111636068real_c @ SV143 @ SY2431 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1894]) ).

thf(2243,plain,
    ! [SV694: set_c,SV449: sum_sum_c_d > c,SV144: set_Sum_sum_c_d] :
      ( ( ~ ! [SY2433: sum_sum_c_d] :
              ( ~ ( member_Sum_sum_c_d @ SY2433 @ SV144 )
              | ( member_c @ ( SV449 @ SY2433 ) @ SV694 ) )
        | ( ord_less_eq_set_c @ ( image_Sum_sum_c_d_c @ SV449 @ SV144 ) @ SV694 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1895]) ).

thf(2244,plain,
    ! [SV695: sum_sum_c_c > set_Sum_sum_c_d,SV450: set_Sum_sum_c_c,SV145: sum_sum_c_c > sum_sum_c_d] :
      ( ( ! [SY2434: sum_sum_c_c] :
            ( ~ ( member318754689um_c_d @ SV145 @ ( pi_Sum261268376um_c_d @ SV450 @ SV695 ) )
            | ~ ~ ( member_Sum_sum_c_d @ ( SV145 @ SY2434 ) @ ( SV695 @ SY2434 ) )
            | ~ ( member_Sum_sum_c_c @ SY2434 @ SV450 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1896]) ).

thf(2245,plain,
    ! [SV696: real > set_Fi1407883041real_c,SV451: set_real,SV146: real > finite1398487019real_c] :
      ( ( ! [SY2435: real] :
            ( ~ ( member1321351885real_c @ SV146 @ ( pi_rea1111636068real_c @ SV451 @ SV696 ) )
            | ~ ~ ( member1261661570real_c @ ( SV146 @ SY2435 ) @ ( SV696 @ SY2435 ) )
            | ~ ( member_real @ SY2435 @ SV451 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1897]) ).

thf(2246,plain,
    ! [SV697: set_Sum_sum_c_c,SV452: set_re2066790124real_c,SV147: ( real > finite1398487019real_c ) > sum_sum_c_c] :
      ( ( ! [SY2436: real > finite1398487019real_c] :
            ( ~ ( member354622481um_c_c @ SV147
                @ ( pi_rea1500330408um_c_c @ SV452
                  @ ^ [SY2437: real > finite1398487019real_c] : SV697 ) )
            | ~ ( member1321351885real_c @ SY2436 @ SV452 )
            | ( member_Sum_sum_c_c @ ( SV147 @ SY2436 ) @ SV697 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1898]) ).

thf(2247,plain,
    ! [SV148: produc190496183real_c] :
      ( ( ~ ~ ! [SY2438: finite1398487019real_c] :
                ( SV148
               != ( produc394644079real_c @ ( sK1_SY1386 @ SV148 ) @ SY2438 ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[1899]) ).

thf(2248,plain,
    ! [SV698: sum_sum_c_c,SV453: set_Sum_sum_c_d,SV149: sum_sum_c_d] :
      ( ( ! [SY2439: sum_sum_c_d > sum_sum_c_c] :
            ( ~ ( member_Sum_sum_c_d @ SV149 @ SV453 )
            | ( SV698
             != ( SY2439 @ SV149 ) )
            | ( member_Sum_sum_c_c @ SV698 @ ( image_1558941394um_c_c @ SY2439 @ SV453 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1900]) ).

thf(2249,plain,
    ! [SV699: set_Sum_sum_c_d,SV454: set_c,SV150: c > sum_sum_c_d] :
      ( ( ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV150 @ SV454 ) @ SV699 )
        = ( ! [SY2440: c] :
              ( ~ ( member_c @ SY2440 @ SV454 )
              | ( member_Sum_sum_c_d @ ( SV150 @ SY2440 ) @ SV699 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1901]) ).

thf(2250,plain,
    ! [SV700: c,SV455: c > sum_sum_c_c,SV151: sum_sum_c_c] :
      ( ( ! [SY2441: set_c] :
            ( ( SV151
             != ( SV455 @ SV700 ) )
            | ~ ( member_c @ SV700 @ SY2441 )
            | ( member_Sum_sum_c_c @ SV151 @ ( image_c_Sum_sum_c_c @ SV455 @ SY2441 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1902]) ).

thf(2251,plain,
    ! [SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ! [SY2442: formula_a_b_c] :
            ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              = ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SY2442 ) ) )
            = ( ~ ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
                      | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SY2442 ) ) )
                  | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SY2442 ) )
                      | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1903]) ).

thf(2252,plain,
    ! [SV457: set_Pr1389752855real_c,SV153: produc190496183real_c] :
      ( ( ( ~ ~ ( member1895684704real_c @ SV153 @ SV457 ) )
        = $true )
      | ( ( member1895684704real_c @ SV153 @ ( uminus232257166real_c @ SV457 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1904]) ).

thf(2253,plain,
    ( ( denota1997846518gree_c
      @ ( denota161327353_a_b_c @ i @ oDEa
        @ ( produc394644079real_c
          @ ( finite557796307c_real
            @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
          @ bb )
        @ ( finite557796307c_real
          @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) )
      @ ( produc394644079real_c
        @ ( finite557796307c_real
          @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
        @ bb )
      @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ i @ oDEa ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1905]) ).

thf(2254,plain,
    ( ( denota1997846518gree_c
      @ ( denota161327353_a_b_c @ i @ oDEa
        @ ( produc394644079real_c
          @ ( finite557796307c_real
            @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
          @ bb )
        @ ( finite557796307c_real
          @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) )
      @ ( denota1896987029_a_b_c @ i @ oDEa
        @ ( finite557796307c_real
          @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) )
      @ ( denota1293057250_a_b_c @ i @ oDEa ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1906]) ).

thf(2255,plain,
    ! [SV702: sum_sum_c_d > set_Sum_sum_c_c,SV459: set_Sum_sum_c_d,SV155: sum_sum_c_d > sum_sum_c_c] :
      ( ( ! [SY2443: sum_sum_c_d] :
            ( ~ ( member71251457um_c_c @ SV155 @ ( pi_Sum1145067928um_c_c @ SV459 @ SV702 ) )
            | ~ ~ ( member_Sum_sum_c_c @ ( SV155 @ SY2443 ) @ ( SV702 @ SY2443 ) )
            | ~ ( member_Sum_sum_c_d @ SY2443 @ SV459 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1908]) ).

thf(2256,plain,
    ! [SV460: c,SV156: d] :
      ( ( ( sum_Inr_d_c @ SV156 )
        = ( sum_Inl_c_d @ SV460 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1909]) ).

thf(2257,plain,
    ! [SV703: set_c,SV461: c > c,SV157: set_c] :
      ( ( ~ ! [SY2444: c] :
              ( ~ ( member_c @ SY2444 @ SV157 )
              | ( member_c @ ( SV461 @ SY2444 ) @ SV703 ) )
        | ( ord_less_eq_set_c @ ( image_c_c @ SV461 @ SV157 ) @ SV703 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1910]) ).

thf(2258,plain,
    ! [SV462: produc190496183real_c,SV158: produc190496183real_c] :
      ( ( ( ~ ~ ( ( ( produc2010422875real_c @ SV158 )
                 != ( produc2010422875real_c @ SV462 ) )
                | ( ( produc314122909real_c @ SV158 )
                 != ( produc314122909real_c @ SV462 ) ) ) )
        = $true )
      | ( ( SV158 = SV462 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1911]) ).

thf(2259,plain,
    ! [SV704: set_Sum_sum_c_d,SV463: c > sum_sum_c_d,SV159: set_c] :
      ( ( ~ ! [SY2445: c] :
              ( ~ ( member_c @ SY2445 @ SV159 )
              | ( member_Sum_sum_c_d @ ( SV463 @ SY2445 ) @ SV704 ) )
        | ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV463 @ SV159 ) @ SV704 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1912]) ).

thf(2260,plain,
    ! [SV705: sum_sum_c_c > $o,SV464: set_Sum_sum_c_d,SV160: sum_sum_c_d > sum_sum_c_c] :
      ( ( ( collect_Sum_sum_c_c
          @ ^ [SY2446: sum_sum_c_c] :
              ~ ( ~ ( member_Sum_sum_c_c @ SY2446 @ ( image_1558941394um_c_c @ SV160 @ SV464 ) )
                | ~ ( SV705 @ SY2446 ) ) )
        = ( image_1558941394um_c_c @ SV160
          @ ( collect_Sum_sum_c_d
            @ ^ [SY2447: sum_sum_c_d] :
                ~ ( ~ ( member_Sum_sum_c_d @ SY2447 @ SV464 )
                  | ~ ( SV705 @ ( SV160 @ SY2447 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1913]) ).

thf(2261,plain,
    ! [SV706: set_Sum_sum_c_c,SV465: set_c,SV161: c > sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV161 @ SV465 ) @ SV706 )
        = ( ! [SY2448: c] :
              ( ~ ( member_c @ SY2448 @ SV465 )
              | ( member_Sum_sum_c_c @ ( SV161 @ SY2448 ) @ SV706 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1914]) ).

thf(2262,plain,
    ! [SV707: real > finite1398487019real_c,SV466: set_re2066790124real_c,SV162: set_re2066790124real_c] :
      ( ( ~ ( ord_le35002188real_c @ SV162 @ SV466 )
        | ~ ( member1321351885real_c @ SV707 @ SV162 )
        | ( member1321351885real_c @ SV707 @ SV466 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1915]) ).

thf(2263,plain,
    ! [SV708: real,SV467: real,SV163: real] :
      ( ( ! [SY2449: real] :
            ( ( ( set_or656347191t_real @ SV163 @ SV467 )
              = ( set_or656347191t_real @ SV708 @ SY2449 ) )
            = ( ~ ( ( SV163 != SV708 )
                  | ( SV467 != SY2449 ) )
              | ~ ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 )
                  | ~ ~ ( ord_less_eq_real @ SV708 @ SY2449 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1916]) ).

thf(2264,plain,
    ! [SV468: set_re2066790124real_c,SV164: real > finite1398487019real_c] :
      ( ( ( ~ ( member1321351885real_c @ SV164 @ ( uminus946614837real_c @ SV468 ) ) )
        = $true )
      | ( ( ~ ( member1321351885real_c @ SV164 @ SV468 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1917]) ).

thf(2265,plain,
    ! [SV709: produc190496183real_c,SV469: oDE_a_c,SV165: denota231621370t_unit] :
      ( ( ! [SY2450: finite1398487019real_c,SY2451: produc190496183real_c] :
            ( ( ( denota310462944_a_b_c @ SV165 @ SV469 @ SV709 @ SY2450 )
             != SY2451 )
            | ( SY2451
              = ( produc394644079real_c
                @ ( finite557796307c_real
                  @ ^ [SY2452: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2452 ) @ ( denota1293057250_a_b_c @ SV165 @ SV469 ) ) @ SY2450 @ ( produc2010422875real_c @ SV709 ) ) @ SY2452 ) )
                @ ( finite557796307c_real
                  @ ^ [SY2453: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2453 ) @ ( denota1293057250_a_b_c @ SV165 @ SV469 ) ) @ ( denota1275485728_a_b_c @ SV165 @ SV469 @ SY2450 ) @ ( produc314122909real_c @ SV709 ) ) @ SY2453 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1918]) ).

thf(2266,plain,
    ! [SV710: produc190496183real_c,SV470: set_Pr1389752855real_c,SV166: set_Pr1389752855real_c] :
      ( ( ~ ( ord_le977353143real_c @ SV166 @ SV470 )
        | ~ ( member1895684704real_c @ SV710 @ SV166 )
        | ( member1895684704real_c @ SV710 @ SV470 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1919]) ).

thf(2267,plain,
    ! [SV471: produc190496183real_c,SV167: produc190496183real_c] :
      ( ( ( ( produc2010422875real_c @ SV167 )
         != ( produc2010422875real_c @ SV471 ) )
        = $true )
      | ( ( ( ( produc314122909real_c @ SV167 )
           != ( produc314122909real_c @ SV471 ) )
          | ( SV167 = SV471 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1920]) ).

thf(2268,plain,
    ! [SV711: finite1398487019real_c > $o,SV472: set_c,SV168: c > finite1398487019real_c] :
      ( ( ( collec230941376real_c
          @ ^ [SY2454: finite1398487019real_c] :
              ~ ( ~ ( member1261661570real_c @ SY2454 @ ( image_687300774real_c @ SV168 @ SV472 ) )
                | ~ ( SV711 @ SY2454 ) ) )
        = ( image_687300774real_c @ SV168
          @ ( collect_c
            @ ^ [SY2455: c] :
                ~ ( ~ ( member_c @ SY2455 @ SV472 )
                  | ~ ( SV711 @ ( SV168 @ SY2455 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1921]) ).

thf(2269,plain,
    ! [SV712: set_Sum_sum_c_c,SV473: produc190496183real_c,SV169: produc190496183real_c] :
      ( ( ~ ( denota1997846518gree_c @ SV169 @ SV473 @ SV712 )
        | ( denota1997846518gree_c @ SV473 @ SV169 @ SV712 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1922]) ).

thf(2270,plain,
    ! [SV713: set_Sum_sum_c_d,SV474: sum_sum_c_d > sum_sum_c_d,SV170: set_Sum_sum_c_d] :
      ( ( ~ ! [SY2456: sum_sum_c_d] :
              ( ~ ( member_Sum_sum_c_d @ SY2456 @ SV170 )
              | ( member_Sum_sum_c_d @ ( SV474 @ SY2456 ) @ SV713 ) )
        | ( ord_le764260924um_c_d @ ( image_1567202899um_c_d @ SV474 @ SV170 ) @ SV713 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1923]) ).

thf(2271,plain,
    ! [SV714: sum_sum_c_d > set_c,SV475: set_Sum_sum_c_d,SV171: sum_sum_c_d > c] :
      ( ( ! [SY2457: sum_sum_c_d] :
            ( ~ ( member_Sum_sum_c_d_c @ SV171 @ ( pi_Sum_sum_c_d_c @ SV475 @ SV714 ) )
            | ~ ( member_Sum_sum_c_d @ SY2457 @ SV475 )
            | ( member_c @ ( SV171 @ SY2457 ) @ ( SV714 @ SY2457 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1924]) ).

thf(2272,plain,
    ! [SV715: c,SV476: set_c,SV172: set_c] :
      ( ( ~ ( ord_less_eq_set_c @ SV172 @ SV476 )
        | ~ ( member_c @ SV715 @ SV172 )
        | ( member_c @ SV715 @ SV476 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1925]) ).

thf(2273,plain,
    ! [SV173: real] :
      ( ( ( ord_less_eq_real @ zero_zero_real @ SV173 )
        = $false )
      | ( ( ~ ( ord_less_eq_real @ SV173 @ t )
          | ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ SV173 ) ) @ ( denota968303861_a_b_c @ i @ phi ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1926]) ).

thf(2274,plain,
    ! [SV716: sum_sum_c_c > sum_sum_c_d,SV477: set_Sum_sum_c_c,SV174: sum_sum_c_c] :
      ( ( ~ ( member_Sum_sum_c_c @ SV174 @ SV477 )
        | ( member_Sum_sum_c_d @ ( SV716 @ SV174 ) @ ( image_675141842um_c_d @ SV716 @ SV477 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1927]) ).

thf(2275,plain,
    ! [SV717: set_Sum_sum_c_c,SV478: sum_sum_c_c > sum_sum_c_c,SV175: set_Sum_sum_c_c] :
      ( ( ~ ! [SY2458: sum_sum_c_c] :
              ( ~ ( member_Sum_sum_c_c @ SY2458 @ SV175 )
              | ( member_Sum_sum_c_c @ ( SV478 @ SY2458 ) @ SV717 ) )
        | ( member1326674048um_c_c @ SV478
          @ ( pi_Sum253006871um_c_c @ SV175
            @ ^ [SY2459: sum_sum_c_c] : SV717 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1928]) ).

thf(2276,plain,
    ! [SV479: set_Sum_sum_c_d,SV176: sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_d @ SV176 @ ( uminus373867045um_c_d @ SV479 ) ) )
        = $true )
      | ( ( ~ ( member_Sum_sum_c_d @ SV176 @ SV479 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1929]) ).

thf(2277,plain,
    ! [SV718: real > set_Fi1407883041real_c,SV480: real > finite1398487019real_c,SV177: set_real] :
      ( ( ~ ! [SY2460: real] :
              ( ~ ( member_real @ SY2460 @ SV177 )
              | ( member1261661570real_c @ ( SV480 @ SY2460 ) @ ( SV718 @ SY2460 ) ) )
        | ( member1321351885real_c @ SV480 @ ( pi_rea1111636068real_c @ SV177 @ SV718 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1930]) ).

thf(2278,plain,
    ! [SV481: produc190496183real_c] :
      ( ( ! [SV719: produc190496183real_c] :
            ( ( denota1997846518gree_c @ SV481 @ SV719 )
            = ( ^ [SY2461: set_Sum_sum_c_c] :
                  ~ ( ~ ! [SY2462: c] :
                          ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2462 ) @ SY2461 )
                          | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2462 )
                            = ( finite772340578real_c @ ( produc2010422875real_c @ SV719 ) @ SY2462 ) ) )
                    | ~ ! [SY2463: c] :
                          ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2463 ) @ SY2461 )
                          | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2463 )
                            = ( finite772340578real_c @ ( produc314122909real_c @ SV719 ) @ SY2463 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1931]) ).

thf(2279,plain,
    ! [SV481: produc190496183real_c] :
      ( ( ( denota1997846518gree_c @ SV481 )
        = ( ^ [SY2083: produc190496183real_c,SY2084: set_Sum_sum_c_c] :
              ~ ( ~ ! [SY2085: c] :
                      ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2085 ) @ SY2084 )
                      | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2085 )
                        = ( finite772340578real_c @ ( produc2010422875real_c @ SY2083 ) @ SY2085 ) ) )
                | ~ ! [SY2086: c] :
                      ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2086 ) @ SY2084 )
                      | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2086 )
                        = ( finite772340578real_c @ ( produc314122909real_c @ SY2083 ) @ SY2086 ) ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1931]) ).

thf(2280,plain,
    ! [SV482: set_Sum_sum_c_c,SV179: sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ SV179 @ ( uminus1381786404um_c_c @ SV482 ) ) )
        = $true )
      | ( ( ~ ( member_Sum_sum_c_c @ SV179 @ SV482 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1932]) ).

thf(2281,plain,
    ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      | ~ ( ~ ( ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
              | ( ( finite772340578real_c
                  @ ( produc2010422875real_c
                    @ ( denota161327353_a_b_c @ i @ oDEa
                      @ ( produc394644079real_c
                        @ ( finite557796307c_real
                          @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                        @ bb )
                      @ ( finite557796307c_real
                        @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
                  @ i2 )
                = ( finite772340578real_c @ ( sol @ x ) @ i2 ) ) )
          | ~ ( ~ ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
              | ( ( finite772340578real_c
                  @ ( produc2010422875real_c
                    @ ( denota161327353_a_b_c @ i @ oDEa
                      @ ( produc394644079real_c
                        @ ( finite557796307c_real
                          @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                        @ bb )
                      @ ( finite557796307c_real
                        @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
                  @ i2 )
                = ( finite772340578real_c @ ab @ i2 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1933]) ).

thf(2282,plain,
    ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      | ~ ( ~ ( ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
              | ( ( finite772340578real_c
                  @ ( produc2010422875real_c
                    @ ( denota161327353_a_b_c @ i @ oDEa
                      @ ( produc394644079real_c
                        @ ( finite557796307c_real
                          @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                        @ bb )
                      @ ( finite557796307c_real
                        @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
                  @ i2 )
                = ( finite772340578real_c @ ( sol @ x ) @ i2 ) ) )
          | ~ ( ~ ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
              | ( ( finite772340578real_c
                  @ ( produc2010422875real_c
                    @ ( denota161327353_a_b_c @ i @ oDEa
                      @ ( produc394644079real_c
                        @ ( finite557796307c_real
                          @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                        @ bb )
                      @ ( finite557796307c_real
                        @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
                  @ i2 )
                = ( finite772340578real_c @ ab @ i2 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1934]) ).

thf(2283,plain,
    ! [SV720: c > set_c,SV483: c > c,SV180: set_c] :
      ( ( ~ ! [SY2464: c] :
              ( ~ ( member_c @ SY2464 @ SV180 )
              | ( member_c @ ( SV483 @ SY2464 ) @ ( SV720 @ SY2464 ) ) )
        | ( member_c_c @ SV483 @ ( pi_c_c @ SV180 @ SV720 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1935]) ).

thf(2284,plain,
    ! [SV721: set_c,SV484: c > sum_sum_c_c,SV181: set_Sum_sum_c_c] :
      ( ( ~ ( ord_le1772180283um_c_c @ SV181 @ ( image_c_Sum_sum_c_c @ SV484 @ SV721 ) )
        | ~ ! [SY2465: set_c] :
              ( ~ ( ord_less_eq_set_c @ SY2465 @ SV721 )
              | ( SV181
               != ( image_c_Sum_sum_c_c @ SV484 @ SY2465 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1936]) ).

thf(2285,plain,
    ! [SV722: set_Sum_sum_c_c,SV485: sum_sum_c_d > sum_sum_c_c,SV182: set_Sum_sum_c_d] :
      ( ( ~ ! [SY2466: sum_sum_c_d] :
              ( ~ ( member_Sum_sum_c_d @ SY2466 @ SV182 )
              | ( member_Sum_sum_c_c @ ( SV485 @ SY2466 ) @ SV722 ) )
        | ( member71251457um_c_c @ SV485
          @ ( pi_Sum1145067928um_c_c @ SV182
            @ ^ [SY2467: sum_sum_c_d] : SV722 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1937]) ).

thf(2286,plain,
    ! [SV723: real > finite1398487019real_c,SV486: set_re2066790124real_c,SV183: set_re2066790124real_c] :
      ( ( ~ ( ord_le35002188real_c @ SV183 @ SV486 )
        | ~ ( member1321351885real_c @ SV723 @ SV183 )
        | ( member1321351885real_c @ SV723 @ SV486 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1938]) ).

thf(2287,plain,
    ! [SV724: finite1398487019real_c,SV487: finite1398487019real_c,SV184: finite1398487019real_c] :
      ( ( ! [SY2468: finite1398487019real_c] :
            ( ( ( produc394644079real_c @ SV184 @ SV487 )
              = ( produc394644079real_c @ SV724 @ SY2468 ) )
            = ( ~ ( ( SV184 != SV724 )
                  | ( SV487 != SY2468 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1939]) ).

thf(2288,plain,
    ! [SV725: finite1398487019real_c,SV488: finite1398487019real_c,SV185: finite1398487019real_c] :
      ( ( ( ( produc314122909real_c @ ( produc394644079real_c @ SV185 @ SV488 ) )
         != SV725 )
        | ( SV488 = SV725 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1940]) ).

thf(2289,plain,
    ! [SV726: sum_sum_c_c > set_Sum_sum_c_d,SV489: sum_sum_c_c > sum_sum_c_d,SV186: set_Sum_sum_c_c] :
      ( ( ~ ! [SY2469: sum_sum_c_c] :
              ( ~ ( member_Sum_sum_c_c @ SY2469 @ SV186 )
              | ( member_Sum_sum_c_d @ ( SV489 @ SY2469 ) @ ( SV726 @ SY2469 ) ) )
        | ( member318754689um_c_d @ SV489 @ ( pi_Sum261268376um_c_d @ SV186 @ SV726 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1941]) ).

thf(2290,plain,
    ! [SV490: real,SV187: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV187 @ SV490 ) )
        = $true )
      | ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV490 ) @ ( uminus_uminus_real @ SV187 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1942]) ).

thf(2291,plain,
    ! [SV727: produc190496183real_c,SV491: oDE_a_c,SV188: denota231621370t_unit] :
      ( ( ! [SY2470: finite1398487019real_c] :
            ~ ( ~ ( denota1997846518gree_c @ ( denota161327353_a_b_c @ SV188 @ SV491 @ SV727 @ SY2470 ) @ SV727 @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ SV188 @ SV491 ) ) )
              | ~ ( denota1997846518gree_c @ ( denota161327353_a_b_c @ SV188 @ SV491 @ SV727 @ SY2470 ) @ ( denota1896987029_a_b_c @ SV188 @ SV491 @ SY2470 ) @ ( denota1293057250_a_b_c @ SV188 @ SV491 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1943]) ).

thf(2292,plain,
    ! [SV728: oDE_a_c,SV492: denota231621370t_unit,SV189: c] :
      ( ( ~ ( member_c @ SV189 @ ( denota540094197_a_b_c @ SV492 @ SV728 ) )
        | ( member_c @ SV189 @ ( static_FVO_a_c @ SV728 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1944]) ).

thf(2293,plain,
    ! [SV493: set_re2066790124real_c,SV190: real > finite1398487019real_c] :
      ( ( ( ~ ~ ( member1321351885real_c @ SV190 @ SV493 ) )
        = $true )
      | ( ( member1321351885real_c @ SV190 @ ( uminus946614837real_c @ SV493 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1945]) ).

thf(2294,plain,
    ! [SV494: set_Sum_sum_c_c] :
      ( ( ! [SV729: set_Sum_sum_c_c] :
            ( ( ord_le1772180283um_c_c @ SV494 @ SV729 )
            = ( ! [SY2471: sum_sum_c_c] :
                  ( ~ ( member_Sum_sum_c_c @ SY2471 @ SV494 )
                  | ( member_Sum_sum_c_c @ SY2471 @ SV729 ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1946]) ).

thf(2295,plain,
    ! [SV494: set_Sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ SV494 )
        = ( ^ [SY2103: set_Sum_sum_c_c] :
            ! [SY2104: sum_sum_c_c] :
              ( ~ ( member_Sum_sum_c_c @ SY2104 @ SV494 )
              | ( member_Sum_sum_c_c @ SY2104 @ SY2103 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1946]) ).

thf(2296,plain,
    ! [SV495: d,SV192: c] :
      ( ( ( sum_Inl_c_d @ SV192 )
        = ( sum_Inr_d_c @ SV495 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1947]) ).

thf(2297,plain,
    ! [SV730: c,SV496: set_Sum_sum_c_c,SV193: sum_sum_c_c] :
      ( ( ! [SY2472: sum_sum_c_c > c] :
            ( ~ ( member_Sum_sum_c_c @ SV193 @ SV496 )
            | ( SV730
             != ( SY2472 @ SV193 ) )
            | ( member_c @ SV730 @ ( image_Sum_sum_c_c_c @ SY2472 @ SV496 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1948]) ).

thf(2298,plain,
    ! [SV731: set_c,SV497: sum_sum_c_c > c,SV194: set_Sum_sum_c_c] :
      ( ( ~ ! [SY2473: sum_sum_c_c] :
              ( ~ ( member_Sum_sum_c_c @ SY2473 @ SV194 )
              | ( member_c @ ( SV497 @ SY2473 ) @ SV731 ) )
        | ( ord_less_eq_set_c @ ( image_Sum_sum_c_c_c @ SV497 @ SV194 ) @ SV731 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1949]) ).

thf(2299,plain,
    ! [SV732: finite1398487019real_c,SV498: finite1398487019real_c,SV195: finite1398487019real_c] :
      ( ( ! [SY2474: finite1398487019real_c] :
            ( ~ ( ord_le775706699real_c @ SV195 @ SV498 )
            | ~ ( ord_le775706699real_c @ SV732 @ SY2474 )
            | ( ord_le850691415real_c @ ( produc394644079real_c @ SV195 @ SV732 ) @ ( produc394644079real_c @ SV498 @ SY2474 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1950]) ).

thf(2300,plain,
    ! [SV733: set_Sum_sum_c_d,SV499: sum_sum_c_d > sum_sum_c_c,SV196: sum_sum_c_c] :
      ( ( ~ ( member_Sum_sum_c_c @ SV196 @ ( image_1558941394um_c_c @ SV499 @ SV733 ) )
        | ~ ! [SY2475: sum_sum_c_d] :
              ( ( SV196
               != ( SV499 @ SY2475 ) )
              | ~ ( member_Sum_sum_c_d @ SY2475 @ SV733 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1951]) ).

thf(2301,plain,
    ! [SV734: c > set_re2066790124real_c,SV500: c > real > finite1398487019real_c,SV197: set_c] :
      ( ( ~ ! [SY2476: c] :
              ( ~ ( member_c @ SY2476 @ SV197 )
              | ( member1321351885real_c @ ( SV500 @ SY2476 ) @ ( SV734 @ SY2476 ) ) )
        | ( member469531344real_c @ SV500 @ ( pi_c_r41638571real_c @ SV197 @ SV734 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1952]) ).

thf(2302,plain,
    ! [SV501: set_Sum_sum_c_c] :
      ( ( ! [SV735: set_Sum_sum_c_c] :
            ( ( ord_le1772180283um_c_c @ SV501 @ SV735 )
            = ( ! [SY2477: sum_sum_c_c] :
                  ( ~ ( member_Sum_sum_c_c @ SY2477 @ SV501 )
                  | ( member_Sum_sum_c_c @ SY2477 @ SV735 ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1953]) ).

thf(2303,plain,
    ! [SV501: set_Sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ SV501 )
        = ( ^ [SY2115: set_Sum_sum_c_c] :
            ! [SY2116: sum_sum_c_c] :
              ( ~ ( member_Sum_sum_c_c @ SY2116 @ SV501 )
              | ( member_Sum_sum_c_c @ SY2116 @ SY2115 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1953]) ).

thf(2304,plain,
    ! [SV502: set_c,SV199: set_c] :
      ( ( ( ~ ! [SY2117: c] :
                ( ~ ( member_c @ SY2117 @ SV199 )
                | ( member_c @ SY2117 @ SV502 ) ) )
        = $true )
      | ( ( ord_less_eq_set_c @ SV199 @ SV502 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1954]) ).

thf(2305,plain,
    ! [SV736: sum_sum_c_d > set_c,SV503: set_Sum_sum_c_d,SV200: sum_sum_c_d > c] :
      ( ( ! [SY2478: sum_sum_c_d] :
            ( ~ ( member_Sum_sum_c_d_c @ SV200 @ ( pi_Sum_sum_c_d_c @ SV503 @ SV736 ) )
            | ~ ~ ( member_c @ ( SV200 @ SY2478 ) @ ( SV736 @ SY2478 ) )
            | ~ ( member_Sum_sum_c_d @ SY2478 @ SV503 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1955]) ).

thf(2306,plain,
    ! [SV504: set_Sum_sum_c_c,SV201: set_Sum_sum_c_c] :
      ( ( ( ~ ( ord_le1772180283um_c_c @ SV201 @ ( uminus1381786404um_c_c @ SV504 ) ) )
        = $true )
      | ( ( ord_le1772180283um_c_c @ SV504 @ ( uminus1381786404um_c_c @ SV201 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1956]) ).

thf(2307,plain,
    ! [SV505: set_Pr1389752855real_c,SV202: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV202 @ ( uminus232257166real_c @ SV505 ) ) )
        = $true )
      | ( ( ~ ( member1895684704real_c @ SV202 @ SV505 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1957]) ).

thf(2308,plain,
    ! [SV737: real > set_Fi1407883041real_c,SV506: set_real,SV203: real > finite1398487019real_c] :
      ( ( ! [SY2479: real] :
            ( ~ ( member1321351885real_c @ SV203 @ ( pi_rea1111636068real_c @ SV506 @ SV737 ) )
            | ~ ( member_real @ SY2479 @ SV506 )
            | ( member1261661570real_c @ ( SV203 @ SY2479 ) @ ( SV737 @ SY2479 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1958]) ).

thf(2309,plain,
    ! [SV738: produc190496183real_c,SV507: set_Sum_sum_c_c,SV204: set_Sum_sum_c_c] :
      ( ( ! [SY2480: produc190496183real_c] :
            ( ~ ( ord_le1772180283um_c_c @ SV204 @ SV507 )
            | ~ ( denota1997846518gree_c @ SV738 @ SY2480 @ SV507 )
            | ( denota1997846518gree_c @ SV738 @ SY2480 @ SV204 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1959]) ).

thf(2310,plain,
    ! [SV739: c > set_re2066790124real_c,SV508: set_c,SV205: c > real > finite1398487019real_c] :
      ( ( ! [SY2481: c] :
            ( ~ ( member469531344real_c @ SV205 @ ( pi_c_r41638571real_c @ SV508 @ SV739 ) )
            | ~ ( member_c @ SY2481 @ SV508 )
            | ( member1321351885real_c @ ( SV205 @ SY2481 ) @ ( SV739 @ SY2481 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1960]) ).

thf(2311,plain,
    ! [SV740: sum_sum_c_c,SV509: set_c,SV206: c] :
      ( ( ! [SY2482: c > sum_sum_c_c] :
            ( ~ ( member_c @ SV206 @ SV509 )
            | ( SV740
             != ( SY2482 @ SV206 ) )
            | ( member_Sum_sum_c_c @ SV740 @ ( image_c_Sum_sum_c_c @ SY2482 @ SV509 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1961]) ).

thf(2312,plain,
    ! [SV510: finite1398487019real_c > $o,SV207: finite1398487019real_c > $o] :
      ( ( ( ~ ! [SY2128: finite1398487019real_c] :
                ( ~ ( SV207 @ SY2128 )
                | ( SV510 @ SY2128 ) ) )
        = $true )
      | ( ( ord_le1327118209real_c @ ( collec230941376real_c @ SV207 ) @ ( collec230941376real_c @ SV510 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1962]) ).

thf(2313,plain,
    ! [SV741: sum_sum_c_d,SV511: sum_sum_c_d > sum_sum_c_d,SV208: sum_sum_c_d] :
      ( ( ! [SY2483: set_Sum_sum_c_d] :
            ( ( SV208
             != ( SV511 @ SV741 ) )
            | ~ ( member_Sum_sum_c_d @ SV741 @ SY2483 )
            | ( member_Sum_sum_c_d @ SV208 @ ( image_1567202899um_c_d @ SV511 @ SY2483 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1963]) ).

thf(2314,plain,
    ! [SV742: set_c,SV512: sum_sum_c_c > c,SV209: set_Sum_sum_c_c] :
      ( ( ~ ! [SY2484: sum_sum_c_c] :
              ( ~ ( member_Sum_sum_c_c @ SY2484 @ SV209 )
              | ( member_c @ ( SV512 @ SY2484 ) @ SV742 ) )
        | ( member_Sum_sum_c_c_c @ SV512
          @ ( pi_Sum_sum_c_c_c @ SV209
            @ ^ [SY2485: sum_sum_c_c] : SV742 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1964]) ).

thf(2315,plain,
    ! [SV743: c > $o,SV513: set_c,SV210: c > c] :
      ( ( ( collect_c
          @ ^ [SY2486: c] :
              ~ ( ~ ( member_c @ SY2486 @ ( image_c_c @ SV210 @ SV513 ) )
                | ~ ( SV743 @ SY2486 ) ) )
        = ( image_c_c @ SV210
          @ ( collect_c
            @ ^ [SY2487: c] :
                ~ ( ~ ( member_c @ SY2487 @ SV513 )
                  | ~ ( SV743 @ ( SV210 @ SY2487 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1965]) ).

thf(2316,plain,
    ! [SV514: set_c] :
      ( ( ! [SV744: set_c] :
            ( ( ord_less_eq_set_c @ SV514 @ SV744 )
            = ( ! [SY2488: c] :
                  ( ~ ( member_c @ SY2488 @ SV514 )
                  | ( member_c @ SY2488 @ SV744 ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1966]) ).

thf(2317,plain,
    ! [SV514: set_c] :
      ( ( ( ord_less_eq_set_c @ SV514 )
        = ( ^ [SY2137: set_c] :
            ! [SY2138: c] :
              ( ~ ( member_c @ SY2138 @ SV514 )
              | ( member_c @ SY2138 @ SY2137 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1966]) ).

thf(2318,plain,
    ! [SV745: real > finite1398487019real_c,SV515: real > finite1398487019real_c,SV212: real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ SV212 @ ( set_or1308937537real_c @ SV515 @ SV745 ) )
        = ( ~ ( ~ ( ord_le584953750real_c @ SV515 @ SV212 )
              | ~ ( ord_le584953750real_c @ SV212 @ SV745 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1967]) ).

thf(2319,plain,
    ! [SV746: sum_sum_c_d > $o,SV516: set_c,SV213: c > sum_sum_c_d] :
      ( ( ~ ! [SY2489: sum_sum_c_d] :
              ( ~ ( member_Sum_sum_c_d @ SY2489 @ ( image_c_Sum_sum_c_d @ SV213 @ SV516 ) )
              | ( SV746 @ SY2489 ) )
        | ! [SY2490: c] :
            ( ~ ( member_c @ SY2490 @ SV516 )
            | ( SV746 @ ( SV213 @ SY2490 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1968]) ).

thf(2320,plain,
    ! [SV747: set_c,SV517: c > sum_sum_c_c,SV214: sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ SV214 @ ( image_c_Sum_sum_c_c @ SV517 @ SV747 ) )
        = ( ~ ! [SY2491: c] :
                ~ ~ ( ~ ( member_c @ SY2491 @ SV747 )
                    | ( SV214
                     != ( SV517 @ SY2491 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1969]) ).

thf(2321,plain,
    ! [SV748: c > set_c,SV518: set_c,SV215: c > c] :
      ( ( ! [SY2492: c] :
            ( ~ ( member_c_c @ SV215 @ ( pi_c_c @ SV518 @ SV748 ) )
            | ~ ( member_c @ SY2492 @ SV518 )
            | ( member_c @ ( SV215 @ SY2492 ) @ ( SV748 @ SY2492 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1970]) ).

thf(2322,plain,
    ( ( ( ~ ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
        | ~ ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) ) )
      = $true )
    | ( ( ~ ( ~ ( ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
                | ( ( finite772340578real_c
                    @ ( produc2010422875real_c
                      @ ( denota161327353_a_b_c @ i @ oDEa
                        @ ( produc394644079real_c
                          @ ( finite557796307c_real
                            @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                          @ bb )
                        @ ( finite557796307c_real
                          @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
                    @ i2 )
                  = ( finite772340578real_c @ ( sol @ zero_zero_real ) @ i2 ) ) )
            | ~ ( ~ ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
                | ( ( finite772340578real_c
                    @ ( produc2010422875real_c
                      @ ( denota161327353_a_b_c @ i @ oDEa
                        @ ( produc394644079real_c
                          @ ( finite557796307c_real
                            @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                          @ bb )
                        @ ( finite557796307c_real
                          @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
                    @ i2 )
                  = ( finite772340578real_c @ ab @ i2 ) ) ) ) )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1971]) ).

thf(2323,plain,
    ! [SV749: sum_sum_c_c > set_Sum_sum_c_c,SV519: sum_sum_c_c > sum_sum_c_c,SV216: set_Sum_sum_c_c] :
      ( ( ~ ! [SY2493: sum_sum_c_c] :
              ( ~ ( member_Sum_sum_c_c @ SY2493 @ SV216 )
              | ( member_Sum_sum_c_c @ ( SV519 @ SY2493 ) @ ( SV749 @ SY2493 ) ) )
        | ( member1326674048um_c_c @ SV519 @ ( pi_Sum253006871um_c_c @ SV216 @ SV749 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1972]) ).

thf(2324,plain,
    ! [SV750: c > c,SV520: set_c,SV217: c] :
      ( ( ~ ( member_c @ SV217 @ SV520 )
        | ( member_c @ ( SV750 @ SV217 ) @ ( image_c_c @ SV750 @ SV520 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1973]) ).

thf(2325,plain,
    ! [SV751: real > set_Fi1407883041real_c,SV521: real > finite1398487019real_c,SV218: set_real] :
      ( ( ~ ! [SY2494: real] :
              ( ~ ( member_real @ SY2494 @ SV218 )
              | ( member1261661570real_c @ ( SV521 @ SY2494 ) @ ( SV751 @ SY2494 ) ) )
        | ( member1321351885real_c @ SV521 @ ( pi_rea1111636068real_c @ SV218 @ SV751 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1974]) ).

thf(2326,plain,
    ! [SV752: sum_sum_c_d,SV522: sum_sum_c_d > sum_sum_c_c,SV219: sum_sum_c_c] :
      ( ( ! [SY2495: set_Sum_sum_c_d] :
            ( ( SV219
             != ( SV522 @ SV752 ) )
            | ~ ( member_Sum_sum_c_d @ SV752 @ SY2495 )
            | ( member_Sum_sum_c_c @ SV219 @ ( image_1558941394um_c_c @ SV522 @ SY2495 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1975]) ).

thf(2327,plain,
    ! [SV753: sum_sum_c_c,SV523: set_Sum_sum_c_c,SV220: sum_sum_c_c] :
      ( ( ! [SY2496: sum_sum_c_c > sum_sum_c_c] :
            ( ~ ( member_Sum_sum_c_c @ SV220 @ SV523 )
            | ( SV753
             != ( SY2496 @ SV220 ) )
            | ( member_Sum_sum_c_c @ SV753 @ ( image_666880337um_c_c @ SY2496 @ SV523 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1976]) ).

thf(2328,plain,
    ! [SV754: c > sum_sum_c_c,SV524: set_c,SV221: set_c] :
      ( ( ! [SY2497: c > sum_sum_c_c] :
            ( ( SV221 != SV524 )
            | ~ ! [SY2498: c] :
                  ( ~ ( member_c @ SY2498 @ SV524 )
                  | ( ( SV754 @ SY2498 )
                    = ( SY2497 @ SY2498 ) ) )
            | ( ( image_c_Sum_sum_c_c @ SV754 @ SV221 )
              = ( image_c_Sum_sum_c_c @ SY2497 @ SV524 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1977]) ).

thf(2329,plain,
    ! [SV755: finite1398487019real_c,SV525: set_c,SV222: set_c] :
      ( ( ! [SY2499: finite1398487019real_c] :
            ( ~ ( ord_less_eq_set_c @ SV222 @ SV525 )
            | ~ ( denota256060419gree_c @ SV755 @ SY2499 @ SV525 )
            | ( denota256060419gree_c @ SV755 @ SY2499 @ SV222 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1978]) ).

thf(2330,plain,
    ! [SV756: set_c,SV526: c > sum_sum_c_c,SV223: sum_sum_c_c] :
      ( ( ~ ( member_Sum_sum_c_c @ SV223 @ ( image_c_Sum_sum_c_c @ SV526 @ SV756 ) )
        | ~ ! [SY2500: c] :
              ( ( SV223
               != ( SV526 @ SY2500 ) )
              | ~ ( member_c @ SY2500 @ SV756 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1979]) ).

thf(2331,plain,
    ! [SV757: c > sum_sum_c_c,SV527: set_c,SV224: c] :
      ( ( ~ ( member_c @ SV224 @ SV527 )
        | ( member_Sum_sum_c_c @ ( SV757 @ SV224 ) @ ( image_c_Sum_sum_c_c @ SV757 @ SV527 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1980]) ).

thf(2332,plain,
    ! [SV758: sum_sum_c_c > set_Sum_sum_c_c,SV528: set_Sum_sum_c_c,SV225: sum_sum_c_c > sum_sum_c_c] :
      ( ( ! [SY2501: sum_sum_c_c] :
            ( ~ ( member1326674048um_c_c @ SV225 @ ( pi_Sum253006871um_c_c @ SV528 @ SV758 ) )
            | ~ ( member_Sum_sum_c_c @ SY2501 @ SV528 )
            | ( member_Sum_sum_c_c @ ( SV225 @ SY2501 ) @ ( SV758 @ SY2501 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1981]) ).

thf(2333,plain,
    ! [SV759: sum_sum_c_c,SV529: set_Sum_sum_c_c,SV226: set_Sum_sum_c_c] :
      ( ( ~ ( ord_le1772180283um_c_c @ SV226 @ SV529 )
        | ~ ( member_Sum_sum_c_c @ SV759 @ SV226 )
        | ( member_Sum_sum_c_c @ SV759 @ SV529 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1982]) ).

thf(2334,plain,
    ! [SV760: real,SV530: real,SV227: real] :
      ( ( ! [SY2502: real] :
            ( ( ord_le1342644953l_real @ ( produc705216881l_real @ SV227 @ SV530 ) @ ( produc705216881l_real @ SV760 @ SY2502 ) )
            = ( ~ ( ~ ( ord_less_eq_real @ SV227 @ SV760 )
                  | ~ ( ord_less_eq_real @ SV530 @ SY2502 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1983]) ).

thf(2335,plain,
    ! [SV531: set_c,SV228: c] :
      ( ( ( ~ ~ ( member_c @ SV228 @ SV531 ) )
        = $true )
      | ( ( member_c @ SV228 @ ( uminus_uminus_set_c @ SV531 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1984]) ).

thf(2336,plain,
    ! [SV761: real,SV532: real,SV229: real] :
      ( ( ! [SY2503: real] :
            ( ~ ( ord_less_eq_real @ SV229 @ SV532 )
            | ~ ( ord_less_eq_real @ SV761 @ SY2503 )
            | ( ord_le1342644953l_real @ ( produc705216881l_real @ SV229 @ SV761 ) @ ( produc705216881l_real @ SV532 @ SY2503 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1985]) ).

thf(2337,plain,
    ! [SV762: set_c,SV533: c > sum_sum_c_d,SV230: set_Sum_sum_c_d] :
      ( ( ~ ( ord_le764260924um_c_d @ SV230 @ ( image_c_Sum_sum_c_d @ SV533 @ SV762 ) )
        | ~ ! [SY2504: set_c] :
              ( ~ ( ord_less_eq_set_c @ SY2504 @ SV762 )
              | ( SV230
               != ( image_c_Sum_sum_c_d @ SV533 @ SY2504 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1986]) ).

thf(2338,plain,
    ! [SV534: set_Sum_sum_c_d] :
      ( ( ! [SV763: set_Sum_sum_c_d] :
            ( ( ord_le764260924um_c_d @ SV534 @ SV763 )
            = ( ! [SY2505: sum_sum_c_d] :
                  ( ~ ( member_Sum_sum_c_d @ SY2505 @ SV534 )
                  | ( member_Sum_sum_c_d @ SY2505 @ SV763 ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1987]) ).

thf(2339,plain,
    ! [SV534: set_Sum_sum_c_d] :
      ( ( ( ord_le764260924um_c_d @ SV534 )
        = ( ^ [SY2173: set_Sum_sum_c_d] :
            ! [SY2174: sum_sum_c_d] :
              ( ~ ( member_Sum_sum_c_d @ SY2174 @ SV534 )
              | ( member_Sum_sum_c_d @ SY2174 @ SY2173 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1987]) ).

thf(2340,plain,
    ! [SV764: c > $o,SV535: set_Sum_sum_c_c,SV232: sum_sum_c_c > c] :
      ( ( ( collect_c
          @ ^ [SY2506: c] :
              ~ ( ~ ( member_c @ SY2506 @ ( image_Sum_sum_c_c_c @ SV232 @ SV535 ) )
                | ~ ( SV764 @ SY2506 ) ) )
        = ( image_Sum_sum_c_c_c @ SV232
          @ ( collect_Sum_sum_c_c
            @ ^ [SY2507: sum_sum_c_c] :
                ~ ( ~ ( member_Sum_sum_c_c @ SY2507 @ SV535 )
                  | ~ ( SV764 @ ( SV232 @ SY2507 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1988]) ).

thf(2341,plain,
    ! [SV536: set_c] :
      ( ( ! [SV765: set_c] :
            ( ( ord_less_eq_set_c @ SV536 @ SV765 )
            = ( ! [SY2508: c] :
                  ( ~ ( member_c @ SY2508 @ SV536 )
                  | ( member_c @ SY2508 @ SV765 ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1989]) ).

thf(2342,plain,
    ! [SV536: set_c] :
      ( ( ( ord_less_eq_set_c @ SV536 )
        = ( ^ [SY2178: set_c] :
            ! [SY2179: c] :
              ( ~ ( member_c @ SY2179 @ SV536 )
              | ( member_c @ SY2179 @ SY2178 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1989]) ).

thf(2343,plain,
    ! [SV766: set_re2066790124real_c,SV537: ( real > finite1398487019real_c ) > c,SV234: c] :
      ( ( ~ ( member_c @ SV234 @ ( image_266490115al_c_c @ SV537 @ SV766 ) )
        | ~ ! [SY2509: real > finite1398487019real_c] :
              ( ( SV234
               != ( SV537 @ SY2509 ) )
              | ~ ( member1321351885real_c @ SY2509 @ SV766 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1990]) ).

thf(2344,plain,
    ! [SV767: sum_sum_c_c > $o,SV538: set_c,SV235: c > sum_sum_c_c] :
      ( ( ~ ~ ! [SY2510: sum_sum_c_c] :
                ~ ~ ( ~ ( member_Sum_sum_c_c @ SY2510 @ ( image_c_Sum_sum_c_c @ SV235 @ SV538 ) )
                    | ~ ( SV767 @ SY2510 ) )
        | ~ ! [SY2511: c] :
              ~ ~ ( ~ ( member_c @ SY2511 @ SV538 )
                  | ~ ( SV767 @ ( SV235 @ SY2511 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1991]) ).

thf(2345,plain,
    ! [SV768: c > set_Sum_sum_c_d,SV540: c > sum_sum_c_d,SV237: set_c] :
      ( ( ~ ! [SY2512: c] :
              ( ~ ( member_c @ SY2512 @ SV237 )
              | ( member_Sum_sum_c_d @ ( SV540 @ SY2512 ) @ ( SV768 @ SY2512 ) ) )
        | ( member_c_Sum_sum_c_d @ SV540 @ ( pi_c_Sum_sum_c_d @ SV237 @ SV768 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1993]) ).

thf(2346,plain,
    ! [SV769: sum_sum_c_c,SV541: sum_sum_c_c > c,SV238: c] :
      ( ( ! [SY2513: set_Sum_sum_c_c] :
            ( ( SV238
             != ( SV541 @ SV769 ) )
            | ~ ( member_Sum_sum_c_c @ SV769 @ SY2513 )
            | ( member_c @ SV238 @ ( image_Sum_sum_c_c_c @ SV541 @ SY2513 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1994]) ).

thf(2347,plain,
    ! [SV770: c,SV542: c > real > finite1398487019real_c,SV239: real > finite1398487019real_c] :
      ( ( ! [SY2514: set_c] :
            ( ( SV239
             != ( SV542 @ SV770 ) )
            | ~ ( member_c @ SV770 @ SY2514 )
            | ( member1321351885real_c @ SV239 @ ( image_1226855921real_c @ SV542 @ SY2514 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1995]) ).

thf(2348,plain,
    ! [SV771: sum_sum_c_d > set_Sum_sum_c_c,SV543: set_Sum_sum_c_d,SV240: sum_sum_c_d > sum_sum_c_c] :
      ( ( ! [SY2515: sum_sum_c_d] :
            ( ~ ( member71251457um_c_c @ SV240 @ ( pi_Sum1145067928um_c_c @ SV543 @ SV771 ) )
            | ~ ( member_Sum_sum_c_d @ SY2515 @ SV543 )
            | ( member_Sum_sum_c_c @ ( SV240 @ SY2515 ) @ ( SV771 @ SY2515 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1996]) ).

thf(2349,plain,
    ! [SV772: set_Sum_sum_c_d,SV544: c > sum_sum_c_d,SV241: set_c] :
      ( ( ~ ! [SY2516: c] :
              ( ~ ( member_c @ SY2516 @ SV241 )
              | ( member_Sum_sum_c_d @ ( SV544 @ SY2516 ) @ SV772 ) )
        | ( member_c_Sum_sum_c_d @ SV544
          @ ( pi_c_Sum_sum_c_d @ SV241
            @ ^ [SY2517: c] : SV772 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1997]) ).

thf(2350,plain,
    ! [SV773: c,SV545: set_Sum_sum_c_d,SV242: sum_sum_c_d] :
      ( ( ! [SY2518: sum_sum_c_d > c] :
            ( ~ ( member_Sum_sum_c_d @ SV242 @ SV545 )
            | ( SV773
             != ( SY2518 @ SV242 ) )
            | ( member_c @ SV773 @ ( image_Sum_sum_c_d_c @ SY2518 @ SV545 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1998]) ).

thf(2351,plain,
    ! [SV774: set_Sum_sum_c_d,SV546: sum_sum_c_c > sum_sum_c_d,SV243: set_Sum_sum_c_c] :
      ( ( ~ ! [SY2519: sum_sum_c_c] :
              ( ~ ( member_Sum_sum_c_c @ SY2519 @ SV243 )
              | ( member_Sum_sum_c_d @ ( SV546 @ SY2519 ) @ SV774 ) )
        | ( member318754689um_c_d @ SV546
          @ ( pi_Sum261268376um_c_d @ SV243
            @ ^ [SY2520: sum_sum_c_c] : SV774 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1999]) ).

thf(2352,plain,
    ! [SV775: sum_sum_c_c,SV547: set_Sum_sum_c_c,SV244: set_Sum_sum_c_c] :
      ( ( ~ ( ord_le1772180283um_c_c @ SV244 @ SV547 )
        | ~ ( member_Sum_sum_c_c @ SV775 @ SV244 )
        | ( member_Sum_sum_c_c @ SV775 @ SV547 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2000]) ).

thf(2353,plain,
    ! [SV548: produc190496183real_c] :
      ( ( ! [SV776: produc190496183real_c] :
            ( ( ord_le850691415real_c @ SV548 @ SV776 )
            = ( ~ ( ~ ( ord_le775706699real_c @ ( produc2010422875real_c @ SV548 ) @ ( produc2010422875real_c @ SV776 ) )
                  | ~ ( ord_le775706699real_c @ ( produc314122909real_c @ SV548 ) @ ( produc314122909real_c @ SV776 ) ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2001]) ).

thf(2354,plain,
    ! [SV548: produc190496183real_c] :
      ( ( ( ord_le850691415real_c @ SV548 )
        = ( ^ [SY2203: produc190496183real_c] :
              ~ ( ~ ( ord_le775706699real_c @ ( produc2010422875real_c @ SV548 ) @ ( produc2010422875real_c @ SY2203 ) )
                | ~ ( ord_le775706699real_c @ ( produc314122909real_c @ SV548 ) @ ( produc314122909real_c @ SY2203 ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2001]) ).

thf(2355,plain,
    ! [SV549: produc190496183real_c,SV246: produc190496183real_c] :
      ( ( ( ~ ( ord_le850691415real_c @ SV246 @ SV549 ) )
        = $true )
      | ( ( ord_le775706699real_c @ ( produc314122909real_c @ SV246 ) @ ( produc314122909real_c @ SV549 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2002]) ).

thf(2356,plain,
    ! [SV777: sum_sum_c_c > set_Sum_sum_c_d,SV550: set_Sum_sum_c_c,SV247: sum_sum_c_c > sum_sum_c_d] :
      ( ( ! [SY2521: sum_sum_c_c] :
            ( ~ ( member318754689um_c_d @ SV247 @ ( pi_Sum261268376um_c_d @ SV550 @ SV777 ) )
            | ~ ( member_Sum_sum_c_c @ SY2521 @ SV550 )
            | ( member_Sum_sum_c_d @ ( SV247 @ SY2521 ) @ ( SV777 @ SY2521 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2003]) ).

thf(2357,plain,
    ! [SV778: set_Pr1389752855real_c,SV551: set_re2066790124real_c,SV248: ( real > finite1398487019real_c ) > produc190496183real_c] :
      ( ( ! [SY2522: real > finite1398487019real_c] :
            ( ~ ( member954762593real_c @ SV248
                @ ( pi_rea1379668980real_c @ SV551
                  @ ^ [SY2523: real > finite1398487019real_c] : SV778 ) )
            | ~ ( member1321351885real_c @ SY2522 @ SV551 )
            | ( member1895684704real_c @ ( SV248 @ SY2522 ) @ SV778 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2004]) ).

thf(2358,plain,
    ! [SV779: set_re2066790124real_c,SV552: c > real > finite1398487019real_c,SV249: set_c] :
      ( ( ~ ! [SY2524: c] :
              ( ~ ( member_c @ SY2524 @ SV249 )
              | ( member1321351885real_c @ ( SV552 @ SY2524 ) @ SV779 ) )
        | ( ord_le35002188real_c @ ( image_1226855921real_c @ SV552 @ SV249 ) @ SV779 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2005]) ).

thf(2359,plain,
    ! [SV553: c > $o,SV250: c > $o] :
      ( ( ~ ( ( ord_less_eq_set_c @ ( collect_c @ SV250 ) @ ( collect_c @ SV553 ) )
            | ! [SY2211: c] :
                ( ~ ( SV250 @ SY2211 )
                | ( SV553 @ SY2211 ) ) )
        | ~ ( ~ ( ord_less_eq_set_c @ ( collect_c @ SV250 ) @ ( collect_c @ SV553 ) )
            | ~ ! [SY2211: c] :
                  ( ~ ( SV250 @ SY2211 )
                  | ( SV553 @ SY2211 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2006]) ).

thf(2360,plain,
    ! [SV553: c > $o,SV250: c > $o] :
      ( ( ( ord_less_eq_set_c @ ( collect_c @ SV250 ) @ ( collect_c @ SV553 ) )
        = ( ! [SY2211: c] :
              ( ~ ( SV250 @ SY2211 )
              | ( SV553 @ SY2211 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2006]) ).

thf(2361,plain,
    ! [SV554: set_re2066790124real_c,SV251: set_re2066790124real_c] :
      ( ( ( ~ ! [SY2212: real > finite1398487019real_c] :
                ( ~ ( member1321351885real_c @ SY2212 @ SV251 )
                | ( member1321351885real_c @ SY2212 @ SV554 ) ) )
        = $true )
      | ( ( ord_le35002188real_c @ SV251 @ SV554 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2007]) ).

thf(2362,plain,
    ! [SV555: set_Sum_sum_c_d,SV252: sum_sum_c_d] :
      ( ( ( ~ ~ ( member_Sum_sum_c_d @ SV252 @ SV555 ) )
        = $true )
      | ( ( member_Sum_sum_c_d @ SV252 @ ( uminus373867045um_c_d @ SV555 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2008]) ).

thf(2363,plain,
    ( ( ( ~ ( fsafe_a_b_c @ phi ) )
      = $true )
    | ( ( ( ode != oDEa )
        | ( p != phi )
        | ~ ( ord_less_eq_real @ zero_zero_real @ t )
        | ( ( produc394644079real_c @ aa @ ba )
         != ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
        | ~ ( initia1631504802real_c @ sol
            @ ^ [SX0: real] : ( denota1275485728_a_b_c @ i @ oDEa )
            @ ( set_or656347191t_real @ zero_zero_real @ t )
            @ ( collec230941376real_c
              @ ^ [SX0: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ SX0 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) )
        | ~ ( denota256060419gree_c @ ( sol @ zero_zero_real ) @ ab
            @ ( collect_c
              @ ^ [SX0: c] :
                  ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_BVO_a_c @ oDEa ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( static_FVO_a_c @ oDEa ) ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_FVF_a_b_c @ phi ) ) ) ) )
        | ( ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) )
          = ( denota161327353_a_b_c @ i @ oDEa
            @ ( produc394644079real_c
              @ ( finite557796307c_real
                @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
              @ bb )
            @ ( finite557796307c_real
              @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ t ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) ) )
      = $true )
    | ( ( osafe_a_c @ oDEa )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2009]) ).

thf(2364,plain,
    ( ( ( ~ ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
        | ~ ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) ) )
      = $true )
    | ( ( ( finite772340578real_c @ ( produc2010422875real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) ) @ i2 )
        = ( finite772340578real_c @ ab @ i2 ) )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2010]) ).

thf(2365,plain,
    ! [SV556: c > $o,SV253: c > $o] :
      ( ( ( ~ ! [SY2213: c] :
                ( ( SV253 @ SY2213 )
                = ( SV556 @ SY2213 ) ) )
        = $true )
      | ( ( ( collect_c @ SV253 )
          = ( collect_c @ SV556 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2011]) ).

thf(2366,plain,
    ! [SV780: sum_sum_c_d > set_c,SV557: sum_sum_c_d > c,SV254: set_Sum_sum_c_d] :
      ( ( ~ ! [SY2525: sum_sum_c_d] :
              ( ~ ( member_Sum_sum_c_d @ SY2525 @ SV254 )
              | ( member_c @ ( SV557 @ SY2525 ) @ ( SV780 @ SY2525 ) ) )
        | ( member_Sum_sum_c_d_c @ SV557 @ ( pi_Sum_sum_c_d_c @ SV254 @ SV780 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2012]) ).

thf(2367,plain,
    ! [SV781: set_Sum_sum_c_c,SV558: sum_sum_c_c > sum_sum_c_c,SV255: set_Sum_sum_c_c] :
      ( ( ~ ! [SY2526: sum_sum_c_c] :
              ( ~ ( member_Sum_sum_c_c @ SY2526 @ SV255 )
              | ( member_Sum_sum_c_c @ ( SV558 @ SY2526 ) @ SV781 ) )
        | ( ord_le1772180283um_c_c @ ( image_666880337um_c_c @ SV558 @ SV255 ) @ SV781 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2013]) ).

thf(2368,plain,
    ! [SV782: c,SV559: set_c,SV256: c] :
      ( ( ! [SY2527: c > c] :
            ( ~ ( member_c @ SV256 @ SV559 )
            | ( SV782
             != ( SY2527 @ SV256 ) )
            | ( member_c @ SV782 @ ( image_c_c @ SY2527 @ SV559 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2014]) ).

thf(2369,plain,
    ! [SV783: sum_sum_c_c > $o,SV560: set_Sum_sum_c_c,SV257: sum_sum_c_c > sum_sum_c_c] :
      ( ( ( collect_Sum_sum_c_c
          @ ^ [SY2528: sum_sum_c_c] :
              ~ ( ~ ( member_Sum_sum_c_c @ SY2528 @ ( image_666880337um_c_c @ SV257 @ SV560 ) )
                | ~ ( SV783 @ SY2528 ) ) )
        = ( image_666880337um_c_c @ SV257
          @ ( collect_Sum_sum_c_c
            @ ^ [SY2529: sum_sum_c_c] :
                ~ ( ~ ( member_Sum_sum_c_c @ SY2529 @ SV560 )
                  | ~ ( SV783 @ ( SV257 @ SY2529 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2015]) ).

thf(2370,plain,
    ! [SV784: sum_sum_c_d,SV561: sum_sum_c_d > c,SV258: c] :
      ( ( ! [SY2530: set_Sum_sum_c_d] :
            ( ( SV258
             != ( SV561 @ SV784 ) )
            | ~ ( member_Sum_sum_c_d @ SV784 @ SY2530 )
            | ( member_c @ SV258 @ ( image_Sum_sum_c_d_c @ SV561 @ SY2530 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2016]) ).

thf(2371,plain,
    ! [SV785: sum_sum_c_d > c,SV562: set_Sum_sum_c_d,SV259: sum_sum_c_d] :
      ( ( ~ ( member_Sum_sum_c_d @ SV259 @ SV562 )
        | ( member_c @ ( SV785 @ SV259 ) @ ( image_Sum_sum_c_d_c @ SV785 @ SV562 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2017]) ).

thf(2372,plain,
    ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      | ( ( finite772340578real_c @ ( produc2010422875real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) ) @ i2 )
        = ( finite772340578real_c @ ( sol @ x ) @ i2 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[2018]) ).

thf(2373,plain,
    ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      | ( ( finite772340578real_c @ ( produc2010422875real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) ) @ i2 )
        = ( finite772340578real_c @ ( sol @ x ) @ i2 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[2019]) ).

thf(2374,plain,
    ( ( ( ~ ( fsafe_a_b_c @ phi ) )
      = $true )
    | ( ( ( ode != oDEa )
        | ( p != phi )
        | ~ ( ord_less_eq_real @ zero_zero_real @ t )
        | ( ( produc394644079real_c @ aa @ ba )
         != ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
        | ~ ( initia1631504802real_c @ sol
            @ ^ [SX0: real] : ( denota1275485728_a_b_c @ i @ oDEa )
            @ ( set_or656347191t_real @ zero_zero_real @ t )
            @ ( collec230941376real_c
              @ ^ [SX0: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ SX0 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) )
        | ~ ( denota256060419gree_c @ ( sol @ zero_zero_real ) @ ab
            @ ( collect_c
              @ ^ [SX0: c] :
                  ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_BVO_a_c @ oDEa ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( static_FVO_a_c @ oDEa ) ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_FVF_a_b_c @ phi ) ) ) ) )
        | ( ord_less_eq_real @ zero_zero_real @ t ) )
      = $true )
    | ( ( osafe_a_c @ oDEa )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2020]) ).

thf(2375,plain,
    ! [SV786: sum_sum_c_d,SV563: set_Sum_sum_c_c,SV260: sum_sum_c_c] :
      ( ( ! [SY2531: sum_sum_c_c > sum_sum_c_d] :
            ( ~ ( member_Sum_sum_c_c @ SV260 @ SV563 )
            | ( SV786
             != ( SY2531 @ SV260 ) )
            | ( member_Sum_sum_c_d @ SV786 @ ( image_675141842um_c_d @ SY2531 @ SV563 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2021]) ).

thf(2376,plain,
    ! [SV787: set_c,SV564: sum_sum_c_d > c,SV261: set_Sum_sum_c_d] :
      ( ( ~ ! [SY2532: sum_sum_c_d] :
              ( ~ ( member_Sum_sum_c_d @ SY2532 @ SV261 )
              | ( member_c @ ( SV564 @ SY2532 ) @ SV787 ) )
        | ( member_Sum_sum_c_d_c @ SV564
          @ ( pi_Sum_sum_c_d_c @ SV261
            @ ^ [SY2533: sum_sum_c_d] : SV787 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2022]) ).

thf(2377,plain,
    ! [SV788: finite1398487019real_c,SV565: finite1398487019real_c,SV262: $o] :
      ( ( ! [SY2534: c] :
            ~ ( ~ ( ~ SV262
                  | ( ( finite772340578real_c @ ( if_Fin36944805real_c @ SV262 @ SV565 @ SV788 ) @ SY2534 )
                    = ( finite772340578real_c @ SV565 @ SY2534 ) ) )
              | ~ ( ~ ~ SV262
                  | ( ( finite772340578real_c @ ( if_Fin36944805real_c @ SV262 @ SV565 @ SV788 ) @ SY2534 )
                    = ( finite772340578real_c @ SV788 @ SY2534 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2023]) ).

thf(2378,plain,
    ! [SV789: finite1398487019real_c,SV566: finite1398487019real_c] :
      ( ( ! [SY2535: c] :
            ~ ( ~ ( ~ $true
                  | ( ( finite772340578real_c @ ( if_Fin36944805real_c @ $true @ SV566 @ SV789 ) @ SY2535 )
                    = ( finite772340578real_c @ SV566 @ SY2535 ) ) )
              | ~ ( ~ ~ $true
                  | ( ( finite772340578real_c @ ( if_Fin36944805real_c @ $true @ SV566 @ SV789 ) @ SY2535 )
                    = ( finite772340578real_c @ SV789 @ SY2535 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2024]) ).

thf(2379,plain,
    ! [SV790: finite1398487019real_c,SV567: finite1398487019real_c] :
      ( ( ! [SY2536: c] :
            ~ ( ~ ( ~ $false
                  | ( ( finite772340578real_c @ ( if_Fin36944805real_c @ $false @ SV567 @ SV790 ) @ SY2536 )
                    = ( finite772340578real_c @ SV567 @ SY2536 ) ) )
              | ~ ( ~ ~ $false
                  | ( ( finite772340578real_c @ ( if_Fin36944805real_c @ $false @ SV567 @ SV790 ) @ SY2536 )
                    = ( finite772340578real_c @ SV790 @ SY2536 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2025]) ).

thf(2380,plain,
    ! [SV568: set_Sum_sum_c_c,SV263: set_Sum_sum_c_c] :
      ( ( ( ~ ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SV263 ) @ SV568 ) )
        = $true )
      | ( ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SV568 ) @ SV263 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2026]) ).

thf(2381,plain,
    ! [SV791: set_Fi1407883041real_c,SV569: real > finite1398487019real_c,SV264: set_real] :
      ( ( ~ ! [SY2537: real] :
              ( ~ ( member_real @ SY2537 @ SV264 )
              | ( member1261661570real_c @ ( SV569 @ SY2537 ) @ SV791 ) )
        | ( member1321351885real_c @ SV569
          @ ( pi_rea1111636068real_c @ SV264
            @ ^ [SY2538: real] : SV791 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2027]) ).

thf(2382,plain,
    ! [SV792: produc190496183real_c,SV570: set_Sum_sum_c_c,SV265: set_Sum_sum_c_c] :
      ( ( ! [SY2539: produc190496183real_c] :
            ( ~ ( ord_le1772180283um_c_c @ SV265 @ SV570 )
            | ~ ( denota1997846518gree_c @ SV792 @ SY2539 @ SV570 )
            | ( denota1997846518gree_c @ SV792 @ SY2539 @ SV265 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2028]) ).

thf(2383,plain,
    ! [SV793: real,SV571: c,SV266: produc190496183real_c] :
      ( ( ! [SY2540: produc190496183real_c] :
            ( ( ( denotational_repd_c @ SV266 @ SV571 @ SV793 )
             != SY2540 )
            | ( SY2540
              = ( produc394644079real_c @ ( produc2010422875real_c @ SV266 )
                @ ( finite557796307c_real
                  @ ^ [SY2541: c] : ( if_real @ ( SV571 = SY2541 ) @ SV793 @ ( finite772340578real_c @ ( produc314122909real_c @ SV266 ) @ SY2541 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2029]) ).

thf(2384,plain,
    ! [SV794: c > set_Sum_sum_c_c,SV572: c > sum_sum_c_c,SV267: set_c] :
      ( ( ~ ! [SY2542: c] :
              ( ~ ( member_c @ SY2542 @ SV267 )
              | ( member_Sum_sum_c_c @ ( SV572 @ SY2542 ) @ ( SV794 @ SY2542 ) ) )
        | ( member_c_Sum_sum_c_c @ SV572 @ ( pi_c_Sum_sum_c_c @ SV267 @ SV794 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2030]) ).

thf(2385,plain,
    ! [SV795: set_Sum_sum_c_c,SV573: c > sum_sum_c_c,SV268: set_c] :
      ( ( ~ ! [SY2543: c] :
              ( ~ ( member_c @ SY2543 @ SV268 )
              | ( member_Sum_sum_c_c @ ( SV573 @ SY2543 ) @ SV795 ) )
        | ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV573 @ SV268 ) @ SV795 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2031]) ).

thf(2386,plain,
    ! [SV796: sum_sum_c_d,SV574: set_Sum_sum_c_d,SV269: set_Sum_sum_c_d] :
      ( ( ~ ( ord_le764260924um_c_d @ SV269 @ SV574 )
        | ~ ( member_Sum_sum_c_d @ SV796 @ SV269 )
        | ( member_Sum_sum_c_d @ SV796 @ SV574 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2032]) ).

thf(2387,plain,
    ! [SV575: c > $o,SV270: c > $o] :
      ( ( ( ~ ! [SY2250: c] :
                ( ~ ( SV270 @ SY2250 )
                | ( SV575 @ SY2250 ) ) )
        = $true )
      | ( ( ord_less_eq_set_c @ ( collect_c @ SV270 ) @ ( collect_c @ SV575 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2033]) ).

thf(2388,plain,
    ! [SV797: real,SV576: real,SV271: real] :
      ( ( ! [SY2544: real] :
            ( ( ord_less_eq_set_real @ ( set_or656347191t_real @ SV271 @ SV576 ) @ ( set_or656347191t_real @ SV797 @ SY2544 ) )
            = ( ~ ( ord_less_eq_real @ SV271 @ SV576 )
              | ~ ( ~ ( ord_less_eq_real @ SV797 @ SV271 )
                  | ~ ( ord_less_eq_real @ SV576 @ SY2544 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2034]) ).

thf(2389,plain,
    ! [SV577: set_re2066790124real_c] :
      ( ( ! [SV798: set_re2066790124real_c] :
            ( ( ord_le35002188real_c @ SV577 @ SV798 )
            = ( ! [SY2545: real > finite1398487019real_c] :
                  ( ~ ( member1321351885real_c @ SY2545 @ SV577 )
                  | ( member1321351885real_c @ SY2545 @ SV798 ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2035]) ).

thf(2390,plain,
    ! [SV577: set_re2066790124real_c] :
      ( ( ( ord_le35002188real_c @ SV577 )
        = ( ^ [SY2253: set_re2066790124real_c] :
            ! [SY2254: real > finite1398487019real_c] :
              ( ~ ( member1321351885real_c @ SY2254 @ SV577 )
              | ( member1321351885real_c @ SY2254 @ SY2253 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2035]) ).

thf(2391,plain,
    ! [SV578: set_Pr1389752855real_c] :
      ( ( ! [SV799: set_Pr1389752855real_c] :
            ( ( ord_le977353143real_c @ SV578 @ SV799 )
            = ( ! [SY2546: produc190496183real_c] :
                  ( ~ ( member1895684704real_c @ SY2546 @ SV578 )
                  | ( member1895684704real_c @ SY2546 @ SV799 ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2036]) ).

thf(2392,plain,
    ! [SV578: set_Pr1389752855real_c] :
      ( ( ( ord_le977353143real_c @ SV578 )
        = ( ^ [SY2255: set_Pr1389752855real_c] :
            ! [SY2256: produc190496183real_c] :
              ( ~ ( member1895684704real_c @ SY2256 @ SV578 )
              | ( member1895684704real_c @ SY2256 @ SY2255 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2036]) ).

thf(2393,plain,
    ! [SV800: sum_sum_c_c > sum_sum_c_c,SV579: set_Sum_sum_c_c,SV274: sum_sum_c_c] :
      ( ( ~ ( member_Sum_sum_c_c @ SV274 @ SV579 )
        | ( member_Sum_sum_c_c @ ( SV800 @ SV274 ) @ ( image_666880337um_c_c @ SV800 @ SV579 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2037]) ).

thf(2394,plain,
    ! [SV801: c > set_re2066790124real_c,SV580: c > real > finite1398487019real_c,SV275: set_c] :
      ( ( ~ ! [SY2547: c] :
              ( ~ ( member_c @ SY2547 @ SV275 )
              | ( member1321351885real_c @ ( SV580 @ SY2547 ) @ ( SV801 @ SY2547 ) ) )
        | ( member469531344real_c @ SV580 @ ( pi_c_r41638571real_c @ SV275 @ SV801 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2038]) ).

thf(2395,plain,
    ! [SV802: c > set_Sum_sum_c_c,SV581: set_c,SV276: c > sum_sum_c_c] :
      ( ( ! [SY2548: c] :
            ( ~ ( member_c_Sum_sum_c_c @ SV276 @ ( pi_c_Sum_sum_c_c @ SV581 @ SV802 ) )
            | ~ ~ ( member_Sum_sum_c_c @ ( SV276 @ SY2548 ) @ ( SV802 @ SY2548 ) )
            | ~ ( member_c @ SY2548 @ SV581 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2039]) ).

thf(2396,plain,
    ! [SV277: c] :
      ( ( ~ ~ ( ~ ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SV277 ) @ ( static_BVO_a_c @ oDEa ) )
                  | ( ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SV277 )
                    = ( finite772340578real_c @ ab @ SV277 ) ) )
              | ~ ( ~ ( member_Sum_sum_c_d @ ( sum_Inl_c_d @ SV277 ) @ ( image_c_Sum_sum_c_d @ sum_Inl_c_d @ ( static_FVO_a_c @ oDEa ) ) )
                  | ( ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SV277 )
                    = ( finite772340578real_c @ ab @ SV277 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2040]) ).

thf(2397,plain,
    ! [SV277: c] :
      ( ( ~ ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SV277 ) @ ( static_FVF_a_b_c @ phi ) )
            | ( ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SV277 )
              = ( finite772340578real_c @ ab @ SV277 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2040]) ).

thf(2398,plain,
    ! [SV803: sum_sum_c_c > set_Sum_sum_c_c,SV582: set_Sum_sum_c_c,SV278: sum_sum_c_c > sum_sum_c_c] :
      ( ( ! [SY2549: sum_sum_c_c] :
            ( ~ ( member1326674048um_c_c @ SV278 @ ( pi_Sum253006871um_c_c @ SV582 @ SV803 ) )
            | ~ ~ ( member_Sum_sum_c_c @ ( SV278 @ SY2549 ) @ ( SV803 @ SY2549 ) )
            | ~ ( member_Sum_sum_c_c @ SY2549 @ SV582 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2041]) ).

thf(2399,plain,
    ! [SV804: sum_sum_c_c > set_Sum_sum_c_c,SV583: sum_sum_c_c > sum_sum_c_c,SV279: set_Sum_sum_c_c] :
      ( ( ~ ! [SY2550: sum_sum_c_c] :
              ( ~ ( member_Sum_sum_c_c @ SY2550 @ SV279 )
              | ( member_Sum_sum_c_c @ ( SV583 @ SY2550 ) @ ( SV804 @ SY2550 ) ) )
        | ( member1326674048um_c_c @ SV583 @ ( pi_Sum253006871um_c_c @ SV279 @ SV804 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2042]) ).

thf(2400,plain,
    ! [SV805: sum_sum_c_c > set_c,SV584: set_Sum_sum_c_c,SV280: sum_sum_c_c > c] :
      ( ( ! [SY2551: sum_sum_c_c] :
            ( ~ ( member_Sum_sum_c_c_c @ SV280 @ ( pi_Sum_sum_c_c_c @ SV584 @ SV805 ) )
            | ~ ~ ( member_c @ ( SV280 @ SY2551 ) @ ( SV805 @ SY2551 ) )
            | ~ ( member_Sum_sum_c_c @ SY2551 @ SV584 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2043]) ).

thf(2401,plain,
    ! [SV806: set_Sum_sum_c_c,SV585: sum_sum_c_c > sum_sum_c_d,SV281: sum_sum_c_d] :
      ( ( ~ ( member_Sum_sum_c_d @ SV281 @ ( image_675141842um_c_d @ SV585 @ SV806 ) )
        | ~ ! [SY2552: sum_sum_c_c] :
              ( ( SV281
               != ( SV585 @ SY2552 ) )
              | ~ ( member_Sum_sum_c_c @ SY2552 @ SV806 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2044]) ).

thf(2402,plain,
    ! [SV807: c > set_Sum_sum_c_c,SV586: c > sum_sum_c_c,SV282: set_c] :
      ( ( ~ ! [SY2553: c] :
              ( ~ ( member_c @ SY2553 @ SV282 )
              | ( member_Sum_sum_c_c @ ( SV586 @ SY2553 ) @ ( SV807 @ SY2553 ) ) )
        | ( member_c_Sum_sum_c_c @ SV586 @ ( pi_c_Sum_sum_c_c @ SV282 @ SV807 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2045]) ).

thf(2403,plain,
    ! [SV808: finite1398487019real_c,SV587: set_c,SV283: set_c] :
      ( ( ! [SY2554: finite1398487019real_c] :
            ( ~ ( ord_less_eq_set_c @ SV283 @ SV587 )
            | ~ ( denota256060419gree_c @ SV808 @ SY2554 @ SV587 )
            | ( denota256060419gree_c @ SV808 @ SY2554 @ SV283 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2046]) ).

thf(2404,plain,
    ! [SV809: set_Sum_sum_c_d,SV588: set_re2066790124real_c,SV284: ( real > finite1398487019real_c ) > sum_sum_c_d] :
      ( ( ! [SY2555: real > finite1398487019real_c] :
            ( ~ ( member1494186770um_c_d @ SV284
                @ ( pi_rea1508591913um_c_d @ SV588
                  @ ^ [SY2556: real > finite1398487019real_c] : SV809 ) )
            | ~ ( member1321351885real_c @ SY2555 @ SV588 )
            | ( member_Sum_sum_c_d @ ( SV284 @ SY2555 ) @ SV809 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2047]) ).

thf(2405,plain,
    ! [SV810: sum_sum_c_d,SV589: set_c,SV285: c] :
      ( ( ! [SY2557: c > sum_sum_c_d] :
            ( ~ ( member_c @ SV285 @ SV589 )
            | ( SV810
             != ( SY2557 @ SV285 ) )
            | ( member_Sum_sum_c_d @ SV810 @ ( image_c_Sum_sum_c_d @ SY2557 @ SV589 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2048]) ).

thf(2406,plain,
    ! [SV811: c > set_c,SV590: c > c,SV286: set_c] :
      ( ( ~ ! [SY2558: c] :
              ( ~ ( member_c @ SY2558 @ SV286 )
              | ( member_c @ ( SV590 @ SY2558 ) @ ( SV811 @ SY2558 ) ) )
        | ( member_c_c @ SV590 @ ( pi_c_c @ SV286 @ SV811 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2049]) ).

thf(2407,plain,
    ! [SV812: real > finite1398487019real_c,SV591: set_c,SV287: c] :
      ( ( ! [SY2559: c > real > finite1398487019real_c] :
            ( ~ ( member_c @ SV287 @ SV591 )
            | ( SV812
             != ( SY2559 @ SV287 ) )
            | ( member1321351885real_c @ SV812 @ ( image_1226855921real_c @ SY2559 @ SV591 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2050]) ).

thf(2408,plain,
    ! [SV813: finite1398487019real_c,SV592: oDE_a_c,SV288: denota231621370t_unit] :
      ( ( ! [SY2560: produc190496183real_c] :
            ( ( ( denota1896987029_a_b_c @ SV288 @ SV592 @ SV813 )
             != SY2560 )
            | ( SY2560
              = ( produc394644079real_c @ SV813 @ ( denota1275485728_a_b_c @ SV288 @ SV592 @ SV813 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2051]) ).

thf(2409,plain,
    ! [SV814: sum_sum_c_c,SV593: sum_sum_c_c > sum_sum_c_c,SV289: sum_sum_c_c] :
      ( ( ! [SY2561: set_Sum_sum_c_c] :
            ( ( SV289
             != ( SV593 @ SV814 ) )
            | ~ ( member_Sum_sum_c_c @ SV814 @ SY2561 )
            | ( member_Sum_sum_c_c @ SV289 @ ( image_666880337um_c_c @ SV593 @ SY2561 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2052]) ).

thf(2410,plain,
    ( ( ( ~ ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
        | ~ ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) ) )
      = $true )
    | ( ( ( finite772340578real_c @ ( produc314122909real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) ) @ i2 )
        = ( finite772340578real_c @ bb @ i2 ) )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2053]) ).

thf(2411,plain,
    ! [SV815: c > sum_sum_c_d,SV594: set_c,SV290: set_c] :
      ( ( ~ ( ord_less_eq_set_c @ SV290 @ SV594 )
        | ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV815 @ SV290 ) @ ( image_c_Sum_sum_c_d @ SV815 @ SV594 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2054]) ).

thf(2412,plain,
    ! [SV595: set_c,SV291: c] :
      ( ( ( ~ ( member_c @ SV291 @ ( uminus_uminus_set_c @ SV595 ) ) )
        = $true )
      | ( ( ~ ( member_c @ SV291 @ SV595 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2055]) ).

thf(2413,plain,
    ! [SV816: sum_sum_c_c > c,SV596: set_Sum_sum_c_c,SV292: sum_sum_c_c] :
      ( ( ~ ( member_Sum_sum_c_c @ SV292 @ SV596 )
        | ( member_c @ ( SV816 @ SV292 ) @ ( image_Sum_sum_c_c_c @ SV816 @ SV596 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2056]) ).

thf(2414,plain,
    ! [SV817: sum_sum_c_d > set_Sum_sum_c_c,SV597: sum_sum_c_d > sum_sum_c_c,SV293: set_Sum_sum_c_d] :
      ( ( ~ ! [SY2562: sum_sum_c_d] :
              ( ~ ( member_Sum_sum_c_d @ SY2562 @ SV293 )
              | ( member_Sum_sum_c_c @ ( SV597 @ SY2562 ) @ ( SV817 @ SY2562 ) ) )
        | ( member71251457um_c_c @ SV597 @ ( pi_Sum1145067928um_c_c @ SV293 @ SV817 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2057]) ).

thf(2415,plain,
    ! [SV598: set_Sum_sum_c_c,SV294: sum_sum_c_c] :
      ( ( ( ~ ~ ( member_Sum_sum_c_c @ SV294 @ SV598 ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ SV294 @ ( uminus1381786404um_c_c @ SV598 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2058]) ).

thf(2416,plain,
    ! [SV818: sum_sum_c_d > $o,SV600: set_c,SV296: c > sum_sum_c_d] :
      ( ( ( collect_Sum_sum_c_d
          @ ^ [SY2563: sum_sum_c_d] :
              ~ ( ~ ( member_Sum_sum_c_d @ SY2563 @ ( image_c_Sum_sum_c_d @ SV296 @ SV600 ) )
                | ~ ( SV818 @ SY2563 ) ) )
        = ( image_c_Sum_sum_c_d @ SV296
          @ ( collect_c
            @ ^ [SY2564: c] :
                ~ ( ~ ( member_c @ SY2564 @ SV600 )
                  | ~ ( SV818 @ ( SV296 @ SY2564 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2060]) ).

thf(2417,plain,
    ! [SV819: set_Sum_sum_c_c,SV601: sum_sum_c_c > sum_sum_c_c,SV297: sum_sum_c_c] :
      ( ( ~ ( member_Sum_sum_c_c @ SV297 @ ( image_666880337um_c_c @ SV601 @ SV819 ) )
        | ~ ! [SY2565: sum_sum_c_c] :
              ( ( SV297
               != ( SV601 @ SY2565 ) )
              | ~ ( member_Sum_sum_c_c @ SY2565 @ SV819 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2061]) ).

thf(2418,plain,
    ! [SV820: set_Sum_sum_c_d,SV602: sum_sum_c_d > c,SV298: c] :
      ( ( ~ ( member_c @ SV298 @ ( image_Sum_sum_c_d_c @ SV602 @ SV820 ) )
        | ~ ! [SY2566: sum_sum_c_d] :
              ( ( SV298
               != ( SV602 @ SY2566 ) )
              | ~ ( member_Sum_sum_c_d @ SY2566 @ SV820 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2062]) ).

thf(2419,plain,
    ! [SV821: sum_sum_c_d > set_Sum_sum_c_c,SV603: sum_sum_c_d > sum_sum_c_c,SV299: set_Sum_sum_c_d] :
      ( ( ~ ! [SY2567: sum_sum_c_d] :
              ( ~ ( member_Sum_sum_c_d @ SY2567 @ SV299 )
              | ( member_Sum_sum_c_c @ ( SV603 @ SY2567 ) @ ( SV821 @ SY2567 ) ) )
        | ( member71251457um_c_c @ SV603 @ ( pi_Sum1145067928um_c_c @ SV299 @ SV821 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2063]) ).

thf(2420,plain,
    ! [SV822: c > set_Sum_sum_c_d,SV604: c > sum_sum_c_d,SV300: set_c] :
      ( ( ~ ! [SY2568: c] :
              ( ~ ( member_c @ SY2568 @ SV300 )
              | ( member_Sum_sum_c_d @ ( SV604 @ SY2568 ) @ ( SV822 @ SY2568 ) ) )
        | ( member_c_Sum_sum_c_d @ SV604 @ ( pi_c_Sum_sum_c_d @ SV300 @ SV822 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2064]) ).

thf(2421,plain,
    ! [SV823: set_Sum_sum_c_d,SV605: sum_sum_c_d > sum_sum_c_d,SV301: sum_sum_c_d] :
      ( ( ~ ( member_Sum_sum_c_d @ SV301 @ ( image_1567202899um_c_d @ SV605 @ SV823 ) )
        | ~ ! [SY2569: sum_sum_c_d] :
              ( ( SV301
               != ( SV605 @ SY2569 ) )
              | ~ ( member_Sum_sum_c_d @ SY2569 @ SV823 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2065]) ).

thf(2422,plain,
    ! [SV606: produc957004601l_real] :
      ( ( ! [SV824: produc957004601l_real] :
            ( ( ord_le1342644953l_real @ SV606 @ SV824 )
            = ( ~ ( ~ ( ord_less_eq_real @ ( produc1422991709l_real @ SV606 ) @ ( produc1422991709l_real @ SV824 ) )
                  | ~ ( ord_less_eq_real @ ( produc1407670175l_real @ SV606 ) @ ( produc1407670175l_real @ SV824 ) ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2066]) ).

thf(2423,plain,
    ! [SV606: produc957004601l_real] :
      ( ( ( ord_le1342644953l_real @ SV606 )
        = ( ^ [SY2305: produc957004601l_real] :
              ~ ( ~ ( ord_less_eq_real @ ( produc1422991709l_real @ SV606 ) @ ( produc1422991709l_real @ SY2305 ) )
                | ~ ( ord_less_eq_real @ ( produc1407670175l_real @ SV606 ) @ ( produc1407670175l_real @ SY2305 ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2066]) ).

thf(2424,plain,
    ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      | ( ( finite772340578real_c
          @ ( produc314122909real_c
            @ ( denota161327353_a_b_c @ i @ oDEa
              @ ( produc394644079real_c
                @ ( finite557796307c_real
                  @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                @ bb )
              @ ( finite557796307c_real
                @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
          @ i2 )
        = ( finite772340578real_c
          @ ( denota1275485728_a_b_c @ i @ oDEa
            @ ( finite557796307c_real
              @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) )
          @ i2 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[2067]) ).

thf(2425,plain,
    ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      | ( ( finite772340578real_c
          @ ( produc314122909real_c
            @ ( denota161327353_a_b_c @ i @ oDEa
              @ ( produc394644079real_c
                @ ( finite557796307c_real
                  @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                @ bb )
              @ ( finite557796307c_real
                @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
          @ i2 )
        = ( finite772340578real_c
          @ ( denota1275485728_a_b_c @ i @ oDEa
            @ ( finite557796307c_real
              @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) )
          @ i2 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[2068]) ).

thf(2426,plain,
    ! [SV825: sum_sum_c_c > set_c,SV607: sum_sum_c_c > c,SV303: set_Sum_sum_c_c] :
      ( ( ~ ! [SY2570: sum_sum_c_c] :
              ( ~ ( member_Sum_sum_c_c @ SY2570 @ SV303 )
              | ( member_c @ ( SV607 @ SY2570 ) @ ( SV825 @ SY2570 ) ) )
        | ( member_Sum_sum_c_c_c @ SV607 @ ( pi_Sum_sum_c_c_c @ SV303 @ SV825 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2069]) ).

thf(2427,plain,
    ! [SV608: produc190496183real_c,SV304: produc190496183real_c] :
      ( ( ( ~ ( denota1997846518gree_c @ SV304 @ SV608 @ ( static_FVF_a_b_c @ p ) ) )
        = $true )
      | ( ( ( member1895684704real_c @ SV304 @ ( denota968303861_a_b_c @ i @ p ) )
          = ( member1895684704real_c @ SV608 @ ( denota968303861_a_b_c @ i @ p ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2070]) ).

thf(2428,plain,
    ! [SV826: c > sum_sum_c_d,SV609: set_c,SV305: set_c] :
      ( ( ! [SY2571: c > sum_sum_c_d] :
            ( ( SV305 != SV609 )
            | ~ ! [SY2572: c] :
                  ( ~ ( member_c @ SY2572 @ SV609 )
                  | ( ( SV826 @ SY2572 )
                    = ( SY2571 @ SY2572 ) ) )
            | ( ( image_c_Sum_sum_c_d @ SV826 @ SV305 )
              = ( image_c_Sum_sum_c_d @ SY2571 @ SV609 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2071]) ).

thf(2429,plain,
    ! [SV827: sum_sum_c_c > set_c,SV610: sum_sum_c_c > c,SV306: set_Sum_sum_c_c] :
      ( ( ~ ! [SY2573: sum_sum_c_c] :
              ( ~ ( member_Sum_sum_c_c @ SY2573 @ SV306 )
              | ( member_c @ ( SV610 @ SY2573 ) @ ( SV827 @ SY2573 ) ) )
        | ( member_Sum_sum_c_c_c @ SV610 @ ( pi_Sum_sum_c_c_c @ SV306 @ SV827 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2072]) ).

thf(2430,plain,
    ! [SV611: set_Pr1389752855real_c,SV307: set_Pr1389752855real_c] :
      ( ( ( ~ ! [SY2313: produc190496183real_c] :
                ( ~ ( member1895684704real_c @ SY2313 @ SV307 )
                | ( member1895684704real_c @ SY2313 @ SV611 ) ) )
        = $true )
      | ( ( ord_le977353143real_c @ SV307 @ SV611 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2073]) ).

thf(2431,plain,
    ! [SV612: c,SV308: c] :
      ( ( ( sum_Inr_c_c @ SV308 )
        = ( sum_Inl_c_c @ SV612 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2074]) ).

thf(2432,plain,
    ! [SV613: produc190496183real_c,SV309: produc190496183real_c] :
      ( ( ( ~ ( ord_le850691415real_c @ SV309 @ SV613 ) )
        = $true )
      | ( ( ord_le775706699real_c @ ( produc2010422875real_c @ SV309 ) @ ( produc2010422875real_c @ SV613 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2075]) ).

thf(2433,plain,
    ! [SV828: sum_sum_c_d > sum_sum_c_c,SV616: set_Sum_sum_c_d,SV312: sum_sum_c_d] :
      ( ( ~ ( member_Sum_sum_c_d @ SV312 @ SV616 )
        | ( member_Sum_sum_c_c @ ( SV828 @ SV312 ) @ ( image_1558941394um_c_c @ SV828 @ SV616 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2078]) ).

thf(2434,plain,
    ! [SV829: sum_sum_c_d,SV617: set_Sum_sum_c_d,SV313: sum_sum_c_d] :
      ( ( ! [SY2574: sum_sum_c_d > sum_sum_c_d] :
            ( ~ ( member_Sum_sum_c_d @ SV313 @ SV617 )
            | ( SV829
             != ( SY2574 @ SV313 ) )
            | ( member_Sum_sum_c_d @ SV829 @ ( image_1567202899um_c_d @ SY2574 @ SV617 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2079]) ).

thf(2435,plain,
    ! [SV830: c > set_c,SV618: set_c,SV314: c > c] :
      ( ( ! [SY2575: c] :
            ( ~ ( member_c_c @ SV314 @ ( pi_c_c @ SV618 @ SV830 ) )
            | ~ ~ ( member_c @ ( SV314 @ SY2575 ) @ ( SV830 @ SY2575 ) )
            | ~ ( member_c @ SY2575 @ SV618 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2080]) ).

thf(2436,plain,
    ! [SV831: finite1398487019real_c,SV619: finite1398487019real_c,SV315: finite1398487019real_c] :
      ( ( ! [SY2576: finite1398487019real_c] :
            ( ( ord_le850691415real_c @ ( produc394644079real_c @ SV315 @ SV619 ) @ ( produc394644079real_c @ SV831 @ SY2576 ) )
            = ( ~ ( ~ ( ord_le775706699real_c @ SV315 @ SV831 )
                  | ~ ( ord_le775706699real_c @ SV619 @ SY2576 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2081]) ).

thf(2437,plain,
    ! [SV832: real > set_Fi1407883041real_c,SV620: set_real,SV316: real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ SV316 @ ( pi_rea1111636068real_c @ SV620 @ SV832 ) )
        = ( ! [SY2577: real] :
              ( ~ ( member_real @ SY2577 @ SV620 )
              | ( member1261661570real_c @ ( SV316 @ SY2577 ) @ ( SV832 @ SY2577 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2082]) ).

thf(2438,plain,
    ! [SV833: sum_sum_c_d > sum_sum_c_d,SV621: set_Sum_sum_c_d,SV317: sum_sum_c_d] :
      ( ( ~ ( member_Sum_sum_c_d @ SV317 @ SV621 )
        | ( member_Sum_sum_c_d @ ( SV833 @ SV317 ) @ ( image_1567202899um_c_d @ SV833 @ SV621 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2083]) ).

thf(2439,plain,
    ! [SV834: produc190496183real_c,SV622: set_Pr1389752855real_c,SV318: set_Pr1389752855real_c] :
      ( ( ~ ( ord_le977353143real_c @ SV318 @ SV622 )
        | ~ ( member1895684704real_c @ SV834 @ SV318 )
        | ( member1895684704real_c @ SV834 @ SV622 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2084]) ).

thf(2440,plain,
    ! [SV835: ( real > finite1398487019real_c ) > set_c,SV623: set_re2066790124real_c,SV319: ( real > finite1398487019real_c ) > c] :
      ( ( ! [SY2578: real > finite1398487019real_c] :
            ( ~ ( member527957930al_c_c @ SV319 @ ( pi_rea1228756413al_c_c @ SV623 @ SV835 ) )
            | ~ ~ ( member_c @ ( SV319 @ SY2578 ) @ ( SV835 @ SY2578 ) )
            | ~ ( member1321351885real_c @ SY2578 @ SV623 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2085]) ).

thf(2441,plain,
    ! [SV624: set_Sum_sum_c_c,SV320: set_Sum_sum_c_c] :
      ( ( ( ~ ! [SY2329: sum_sum_c_c] :
                ( ~ ( member_Sum_sum_c_c @ SY2329 @ SV320 )
                | ( member_Sum_sum_c_c @ SY2329 @ SV624 ) ) )
        = $true )
      | ( ( ord_le1772180283um_c_c @ SV320 @ SV624 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2086]) ).

thf(2442,plain,
    ! [SV836: c > real > finite1398487019real_c,SV625: set_c,SV321: c] :
      ( ( ~ ( member_c @ SV321 @ SV625 )
        | ( member1321351885real_c @ ( SV836 @ SV321 ) @ ( image_1226855921real_c @ SV836 @ SV625 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2087]) ).

thf(2443,plain,
    ! [SV837: c,SV626: c > c,SV322: c] :
      ( ( ! [SY2579: set_c] :
            ( ( SV322
             != ( SV626 @ SV837 ) )
            | ~ ( member_c @ SV837 @ SY2579 )
            | ( member_c @ SV322 @ ( image_c_c @ SV626 @ SY2579 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2088]) ).

thf(2444,plain,
    ! [SV627: produc190496183real_c] :
      ( ( ! [SV838: produc190496183real_c] :
            ( ( SV627 = SV838 )
            = ( ~ ( ( ( produc2010422875real_c @ SV627 )
                   != ( produc2010422875real_c @ SV838 ) )
                  | ( ( produc314122909real_c @ SV627 )
                   != ( produc314122909real_c @ SV838 ) ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2089]) ).

thf(2445,plain,
    ! [SV627: produc190496183real_c] :
      ( ( ( ^ [SY2333: produc190496183real_c] : ( SV627 = SY2333 ) )
        = ( ^ [SY2334: produc190496183real_c] :
              ~ ( ( ( produc2010422875real_c @ SV627 )
                 != ( produc2010422875real_c @ SY2334 ) )
                | ( ( produc314122909real_c @ SV627 )
                 != ( produc314122909real_c @ SY2334 ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2089]) ).

thf(2446,plain,
    ! [SV628: set_Pr1389752855real_c] :
      ( ( ! [SV839: set_Pr1389752855real_c] :
            ( ( ord_le977353143real_c @ SV628 @ SV839 )
            = ( ! [SY2580: produc190496183real_c] :
                  ( ~ ( member1895684704real_c @ SY2580 @ SV628 )
                  | ( member1895684704real_c @ SY2580 @ SV839 ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2090]) ).

thf(2447,plain,
    ! [SV628: set_Pr1389752855real_c] :
      ( ( ( ord_le977353143real_c @ SV628 )
        = ( ^ [SY2335: set_Pr1389752855real_c] :
            ! [SY2336: produc190496183real_c] :
              ( ~ ( member1895684704real_c @ SY2336 @ SV628 )
              | ( member1895684704real_c @ SY2336 @ SY2335 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2090]) ).

thf(2448,plain,
    ! [SV840: finite1398487019real_c,SV629: finite1398487019real_c,SV325: finite1398487019real_c] :
      ( ( ( ( produc2010422875real_c @ ( produc394644079real_c @ SV325 @ SV629 ) )
         != SV840 )
        | ( SV325 = SV840 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2091]) ).

thf(2449,plain,
    ! [SV841: c > sum_sum_c_d,SV630: set_c,SV326: c] :
      ( ( ~ ( member_c @ SV326 @ SV630 )
        | ( member_Sum_sum_c_d @ ( SV841 @ SV326 ) @ ( image_c_Sum_sum_c_d @ SV841 @ SV630 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2092]) ).

thf(2450,plain,
    ! [SV842: set_c,SV631: c > sum_sum_c_c,SV327: set_Sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ SV327 @ ( image_c_Sum_sum_c_c @ SV631 @ SV842 ) )
        = ( ~ ! [SY2581: set_c] :
                ~ ~ ( ~ ( ord_less_eq_set_c @ SY2581 @ SV842 )
                    | ( SV327
                     != ( image_c_Sum_sum_c_c @ SV631 @ SY2581 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2093]) ).

thf(2451,plain,
    ! [SV843: c > $o,SV632: set_Fi1407883041real_c,SV328: finite1398487019real_c > c] :
      ( ( ( collect_c
          @ ^ [SY2582: c] :
              ~ ( ~ ( member_c @ SY2582 @ ( image_1260608398al_c_c @ SV328 @ SV632 ) )
                | ~ ( SV843 @ SY2582 ) ) )
        = ( image_1260608398al_c_c @ SV328
          @ ( collec230941376real_c
            @ ^ [SY2583: finite1398487019real_c] :
                ~ ( ~ ( member1261661570real_c @ SY2583 @ SV632 )
                  | ~ ( SV843 @ ( SV328 @ SY2583 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2094]) ).

thf(2452,plain,
    ! [SV844: sum_sum_c_d > $o,SV633: set_c,SV329: c > sum_sum_c_d] :
      ( ( ~ ~ ! [SY2584: sum_sum_c_d] :
                ~ ~ ( ~ ( member_Sum_sum_c_d @ SY2584 @ ( image_c_Sum_sum_c_d @ SV329 @ SV633 ) )
                    | ~ ( SV844 @ SY2584 ) )
        | ~ ! [SY2585: c] :
              ~ ~ ( ~ ( member_c @ SY2585 @ SV633 )
                  | ~ ( SV844 @ ( SV329 @ SY2585 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2095]) ).

thf(2453,plain,
    ! [SV845: sum_sum_c_c,SV634: sum_sum_c_c > sum_sum_c_d,SV330: sum_sum_c_d] :
      ( ( ! [SY2586: set_Sum_sum_c_c] :
            ( ( SV330
             != ( SV634 @ SV845 ) )
            | ~ ( member_Sum_sum_c_c @ SV845 @ SY2586 )
            | ( member_Sum_sum_c_d @ SV330 @ ( image_675141842um_c_d @ SV634 @ SY2586 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2096]) ).

thf(2454,plain,
    ! [SV846: real > finite1398487019real_c,SV635: denota231621370t_unit,SV331: oDE_a_c] :
      ( ( ! [SY2587: real,SY2588: finite1398487019real_c] :
            ( ~ ( osafe_a_c @ SV331 )
            | ( ( denota1275485728_a_b_c @ SV635 @ SV331 @ ( SV846 @ SY2587 ) )
              = ( denota1275485728_a_b_c @ SV635 @ SV331
                @ ( finite557796307c_real
                  @ ^ [SY2589: c] : ( if_real @ ( member_c @ SY2589 @ ( static_FVO_a_c @ SV331 ) ) @ ( finite772340578real_c @ ( SV846 @ SY2587 ) @ SY2589 ) @ ( finite772340578real_c @ SY2588 @ SY2589 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2097]) ).

thf(2455,plain,
    ! [SV847: finite1398487019real_c,SV636: finite1398487019real_c,SV332: finite1398487019real_c] :
      ( ( ! [SY2590: finite1398487019real_c] :
            ( ( ( produc394644079real_c @ SV332 @ SV636 )
             != ( produc394644079real_c @ SV847 @ SY2590 ) )
            | ~ ( ( SV332 != SV847 )
                | ( SV636 != SY2590 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2098]) ).

thf(2456,plain,
    ! [SV333: produc190496183real_c] :
      ( ( ! [SY2591: finite1398487019real_c] :
            ( SV333
           != ( produc394644079real_c @ ( sK2_SY1870 @ SV333 ) @ SY2591 ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[2099]) ).

thf(2457,plain,
    ! [SV848: set_Sum_sum_c_c,SV637: c > sum_sum_c_c,SV334: set_c] :
      ( ( ~ ! [SY2592: c] :
              ( ~ ( member_c @ SY2592 @ SV334 )
              | ( member_Sum_sum_c_c @ ( SV637 @ SY2592 ) @ SV848 ) )
        | ( member_c_Sum_sum_c_c @ SV637
          @ ( pi_c_Sum_sum_c_c @ SV334
            @ ^ [SY2593: c] : SV848 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2100]) ).

thf(2458,plain,
    ( ( ( ~ ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
        | ~ ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) ) )
      = $true )
    | ( ( ( finite772340578real_c
          @ ( produc314122909real_c
            @ ( denota161327353_a_b_c @ i @ oDEa
              @ ( produc394644079real_c
                @ ( finite557796307c_real
                  @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                @ bb )
              @ ( finite557796307c_real
                @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
          @ i2 )
        = ( finite772340578real_c @ bb @ i2 ) )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2101]) ).

thf(2459,plain,
    ! [SV849: sum_sum_c_c > $o,SV638: set_c,SV335: c > sum_sum_c_c] :
      ( ( ( collect_Sum_sum_c_c
          @ ^ [SY2594: sum_sum_c_c] :
              ~ ( ~ ( member_Sum_sum_c_c @ SY2594 @ ( image_c_Sum_sum_c_c @ SV335 @ SV638 ) )
                | ~ ( SV849 @ SY2594 ) ) )
        = ( image_c_Sum_sum_c_c @ SV335
          @ ( collect_c
            @ ^ [SY2595: c] :
                ~ ( ~ ( member_c @ SY2595 @ SV638 )
                  | ~ ( SV849 @ ( SV335 @ SY2595 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2102]) ).

thf(2460,plain,
    ( ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( denota1293057250_a_b_c @ i @ oDEa ) )
      = $false )
    | ( ( ~ ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( denota1293057250_a_b_c @ i @ oDEa ) )
            | ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( denota1293057250_a_b_c @ i @ oDEa ) ) ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2103]) ).

thf(2461,plain,
    ( ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( denota1293057250_a_b_c @ i @ oDEa ) )
      = $false )
    | ( ( ~ ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( denota1293057250_a_b_c @ i @ oDEa ) )
            | ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( denota1293057250_a_b_c @ i @ oDEa ) ) ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2103]) ).

thf(2462,plain,
    ! [SV850: finite1398487019real_c,SV337: finite1398487019real_c] :
      ( ( ( ord_le775706699real_c @ SV337 @ SV850 )
        = ( ! [SY2596: c] : ( ord_less_eq_real @ ( finite772340578real_c @ SV337 @ SY2596 ) @ ( finite772340578real_c @ SV850 @ SY2596 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2104]) ).

thf(2463,plain,
    ! [SV338: finite1398487019real_c,SV7: finite1398487019real_c] :
      ( ( ( ~ ( ( ( finite772340578real_c @ SV7 )
                = ( finite772340578real_c @ SV338 ) )
              | ( SV7 = SV338 ) ) )
        = $true )
      | ( ( ~ ( ( ( finite772340578real_c @ SV7 )
               != ( finite772340578real_c @ SV338 ) )
              | ( SV7 != SV338 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2106]) ).

thf(2464,plain,
    ! [SV851: finite1398487019real_c,SV339: finite1398487019real_c] :
      ( ( ( SV339 = SV851 )
        = ( ! [SY2597: c] :
              ( ( finite772340578real_c @ SV339 @ SY2597 )
              = ( finite772340578real_c @ SV851 @ SY2597 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2108]) ).

thf(2465,plain,
    ! [SV340: sum_sum_c_c > $o,SV9: sum_sum_c_c] :
      ( ( ( ~ ( ( member_Sum_sum_c_c @ SV9 @ ( collect_Sum_sum_c_c @ SV340 ) )
              | ( SV340 @ SV9 ) ) )
        = $true )
      | ( ( ~ ( ~ ( member_Sum_sum_c_c @ SV9 @ ( collect_Sum_sum_c_c @ SV340 ) )
              | ~ ( SV340 @ SV9 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2110]) ).

thf(2466,plain,
    ! [SV341: sum_sum_c_d > $o,SV10: sum_sum_c_d] :
      ( ( ( ~ ( ( member_Sum_sum_c_d @ SV10 @ ( collect_Sum_sum_c_d @ SV341 ) )
              | ( SV341 @ SV10 ) ) )
        = $true )
      | ( ( ~ ( ~ ( member_Sum_sum_c_d @ SV10 @ ( collect_Sum_sum_c_d @ SV341 ) )
              | ~ ( SV341 @ SV10 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2112]) ).

thf(2467,plain,
    ! [SV342: produc190496183real_c > $o,SV11: produc190496183real_c] :
      ( ( ( ~ ( ( member1895684704real_c @ SV11 @ ( collec1643251106real_c @ SV342 ) )
              | ( SV342 @ SV11 ) ) )
        = $true )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV11 @ ( collec1643251106real_c @ SV342 ) )
              | ~ ( SV342 @ SV11 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2114]) ).

thf(2468,plain,
    ! [SV343: ( real > finite1398487019real_c ) > $o,SV12: real > finite1398487019real_c] :
      ( ( ( ~ ( ( member1321351885real_c @ SV12 @ ( collec913357835real_c @ SV343 ) )
              | ( SV343 @ SV12 ) ) )
        = $true )
      | ( ( ~ ( ~ ( member1321351885real_c @ SV12 @ ( collec913357835real_c @ SV343 ) )
              | ~ ( SV343 @ SV12 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2116]) ).

thf(2469,plain,
    ! [SV344: finite1398487019real_c > $o,SV13: finite1398487019real_c] :
      ( ( ( ~ ( ( member1261661570real_c @ SV13 @ ( collec230941376real_c @ SV344 ) )
              | ( SV344 @ SV13 ) ) )
        = $true )
      | ( ( ~ ( ~ ( member1261661570real_c @ SV13 @ ( collec230941376real_c @ SV344 ) )
              | ~ ( SV344 @ SV13 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2118]) ).

thf(2470,plain,
    ! [SV345: c > $o,SV14: c] :
      ( ( ( ~ ( ( member_c @ SV14 @ ( collect_c @ SV345 ) )
              | ( SV345 @ SV14 ) ) )
        = $true )
      | ( ( ~ ( ~ ( member_c @ SV14 @ ( collect_c @ SV345 ) )
              | ~ ( SV345 @ SV14 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2120]) ).

thf(2471,plain,
    ! [SV348: c > real,SV24: finite1398487019real_c] :
      ( ( ( ~ ( ! [SY1885: c] :
                  ( ( finite772340578real_c @ SV24 @ SY1885 )
                  = ( SV348 @ SY1885 ) )
              | ( ( finite557796307c_real @ SV348 )
                = SV24 ) ) )
        = $true )
      | ( ( ~ ( ~ ! [SY1885: c] :
                    ( ( finite772340578real_c @ SV24 @ SY1885 )
                    = ( SV348 @ SY1885 ) )
              | ( ( finite557796307c_real @ SV348 )
               != SV24 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2122]) ).

thf(2472,plain,
    ! [SV852: oDE_a_c,SV349: denota231621370t_unit] :
      ( ( ( denota161327353_a_b_c @ SV349 @ SV852 )
        = ( ^ [SY2598: produc190496183real_c,SY2599: finite1398487019real_c] :
              ( produc394644079real_c
              @ ( finite557796307c_real
                @ ^ [SY2600: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2600 ) @ ( denota1293057250_a_b_c @ SV349 @ SV852 ) ) @ SY2599 @ ( produc2010422875real_c @ SY2598 ) ) @ SY2600 ) )
              @ ( finite557796307c_real
                @ ^ [SY2601: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2601 ) @ ( denota1293057250_a_b_c @ SV349 @ SV852 ) ) @ ( denota1275485728_a_b_c @ SV349 @ SV852 @ SY2599 ) @ ( produc314122909real_c @ SY2598 ) ) @ SY2601 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2124]) ).

thf(2473,plain,
    ! [SV853: oDE_a_c,SV350: denota231621370t_unit] :
      ( ( ( denota310462944_a_b_c @ SV350 @ SV853 )
        = ( ^ [SY2602: produc190496183real_c,SY2603: finite1398487019real_c] :
              ( produc394644079real_c
              @ ( finite557796307c_real
                @ ^ [SY2604: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2604 ) @ ( denota1293057250_a_b_c @ SV350 @ SV853 ) ) @ SY2603 @ ( produc2010422875real_c @ SY2602 ) ) @ SY2604 ) )
              @ ( finite557796307c_real
                @ ^ [SY2605: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2605 ) @ ( denota1293057250_a_b_c @ SV350 @ SV853 ) ) @ ( denota1275485728_a_b_c @ SV350 @ SV853 @ SY2603 ) @ ( produc314122909real_c @ SY2602 ) ) @ SY2605 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2126]) ).

thf(2474,plain,
    ! [SV29: real] :
      ( ( ( ( zero_zero_real
            = ( uminus_uminus_real @ SV29 ) )
          | ( zero_zero_real = SV29 ) )
        = $false )
      | ( ( ~ ( ( zero_zero_real
               != ( uminus_uminus_real @ SV29 ) )
              | ( zero_zero_real != SV29 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2128]) ).

thf(2475,plain,
    ! [SV30: real] :
      ( ( ( ( ( uminus_uminus_real @ SV30 )
            = zero_zero_real )
          | ( SV30 = zero_zero_real ) )
        = $false )
      | ( ( ~ ( ( ( uminus_uminus_real @ SV30 )
               != zero_zero_real )
              | ( SV30 != zero_zero_real ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2129]) ).

thf(2476,plain,
    ! [SV31: real] :
      ( ( ( ( SV31
            = ( uminus_uminus_real @ SV31 ) )
          | ( SV31 = zero_zero_real ) )
        = $false )
      | ( ( ~ ( ( SV31
               != ( uminus_uminus_real @ SV31 ) )
              | ( SV31 != zero_zero_real ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2130]) ).

thf(2477,plain,
    ! [SV32: real] :
      ( ( ( ( ( uminus_uminus_real @ SV32 )
            = SV32 )
          | ( SV32 = zero_zero_real ) )
        = $false )
      | ( ( ~ ( ( ( uminus_uminus_real @ SV32 )
               != SV32 )
              | ( SV32 != zero_zero_real ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2131]) ).

thf(2478,plain,
    ! [SV351: real,SV33: real] :
      ( ( ( ~ ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV33 ) @ ( uminus_uminus_real @ SV351 ) )
              | ( ord_less_eq_real @ SV351 @ SV33 ) ) )
        = $true )
      | ( ( ~ ( ~ ( ord_less_eq_real @ ( uminus_uminus_real @ SV33 ) @ ( uminus_uminus_real @ SV351 ) )
              | ~ ( ord_less_eq_real @ SV351 @ SV33 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2132]) ).

thf(2479,plain,
    ! [SV39: real] :
      ( ( ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV39 ) @ SV39 )
          | ( ord_less_eq_real @ zero_zero_real @ SV39 ) )
        = $false )
      | ( ( ~ ( ~ ( ord_less_eq_real @ ( uminus_uminus_real @ SV39 ) @ SV39 )
              | ~ ( ord_less_eq_real @ zero_zero_real @ SV39 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2134]) ).

thf(2480,plain,
    ! [SV40: real] :
      ( ( ( ( ord_less_eq_real @ SV40 @ ( uminus_uminus_real @ SV40 ) )
          | ( ord_less_eq_real @ SV40 @ zero_zero_real ) )
        = $false )
      | ( ( ~ ( ~ ( ord_less_eq_real @ SV40 @ ( uminus_uminus_real @ SV40 ) )
              | ~ ( ord_less_eq_real @ SV40 @ zero_zero_real ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2135]) ).

thf(2481,plain,
    ! [SV41: real] :
      ( ( ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV41 ) @ zero_zero_real )
          | ( ord_less_eq_real @ zero_zero_real @ SV41 ) )
        = $false )
      | ( ( ~ ( ~ ( ord_less_eq_real @ ( uminus_uminus_real @ SV41 ) @ zero_zero_real )
              | ~ ( ord_less_eq_real @ zero_zero_real @ SV41 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2136]) ).

thf(2482,plain,
    ! [SV42: real] :
      ( ( ( ( ord_less_eq_real @ zero_zero_real @ ( uminus_uminus_real @ SV42 ) )
          | ( ord_less_eq_real @ SV42 @ zero_zero_real ) )
        = $false )
      | ( ( ~ ( ~ ( ord_less_eq_real @ zero_zero_real @ ( uminus_uminus_real @ SV42 ) )
              | ~ ( ord_less_eq_real @ SV42 @ zero_zero_real ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2137]) ).

thf(2483,plain,
    ! [SV355: real,SV43: real] :
      ( ( ( ~ ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV43 ) @ SV355 )
              | ( ord_less_eq_real @ ( uminus_uminus_real @ SV355 ) @ SV43 ) ) )
        = $true )
      | ( ( ~ ( ~ ( ord_less_eq_real @ ( uminus_uminus_real @ SV43 ) @ SV355 )
              | ~ ( ord_less_eq_real @ ( uminus_uminus_real @ SV355 ) @ SV43 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2138]) ).

thf(2484,plain,
    ! [SV356: real,SV44: real] :
      ( ( ( ~ ( ( ord_less_eq_real @ SV44 @ ( uminus_uminus_real @ SV356 ) )
              | ( ord_less_eq_real @ SV356 @ ( uminus_uminus_real @ SV44 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ord_less_eq_real @ SV44 @ ( uminus_uminus_real @ SV356 ) )
              | ~ ( ord_less_eq_real @ SV356 @ ( uminus_uminus_real @ SV44 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2140]) ).

thf(2485,plain,
    ! [SV854: oDE_a_c,SV360: denota231621370t_unit] :
      ( ( ( denota1896987029_a_b_c @ SV360 @ SV854 )
        = ( ^ [SY2606: finite1398487019real_c] : ( produc394644079real_c @ SY2606 @ ( denota1275485728_a_b_c @ SV360 @ SV854 @ SY2606 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2142]) ).

thf(2486,plain,
    ! [SV49: real] :
      ( ( ( ( zero_zero_real = SV49 )
          | ( SV49 = zero_zero_real ) )
        = $false )
      | ( ( ~ ( ( zero_zero_real != SV49 )
              | ( SV49 != zero_zero_real ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2144]) ).

thf(2487,plain,
    ! [SV644: oDE_a_c,SV362: denota231621370t_unit,SV51: c] :
      ( ( ~ ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SV51 ) @ ( denota1293057250_a_b_c @ SV362 @ SV644 ) )
            | ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SV51 ) @ ( denota1293057250_a_b_c @ SV362 @ SV644 ) ) )
        | ~ ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SV51 ) @ ( denota1293057250_a_b_c @ SV362 @ SV644 ) )
            | ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SV51 ) @ ( denota1293057250_a_b_c @ SV362 @ SV644 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2145]) ).

thf(2488,plain,
    ! [SV644: oDE_a_c,SV362: denota231621370t_unit,SV51: c] :
      ( ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SV51 ) @ ( denota1293057250_a_b_c @ SV362 @ SV644 ) )
        = ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SV51 ) @ ( denota1293057250_a_b_c @ SV362 @ SV644 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2145]) ).

thf(2489,plain,
    ! [SV363: set_Sum_sum_c_c,SV52: set_Sum_sum_c_c] :
      ( ( ( ~ ( ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SV52 ) @ ( uminus1381786404um_c_c @ SV363 ) )
              | ( ord_le1772180283um_c_c @ SV363 @ SV52 ) ) )
        = $true )
      | ( ( ~ ( ~ ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SV52 ) @ ( uminus1381786404um_c_c @ SV363 ) )
              | ~ ( ord_le1772180283um_c_c @ SV363 @ SV52 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2146]) ).

thf(2490,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ ( equiv_a_b_c @ SV645 @ SV855 ) ) )
        = ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
          = ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2148]) ).

thf(2491,plain,
    ! [SV365: set_Sum_sum_c_c,SV55: set_Sum_sum_c_c] :
      ( ( ( ~ ( ( ( uminus1381786404um_c_c @ SV55 )
                = ( uminus1381786404um_c_c @ SV365 ) )
              | ( SV55 = SV365 ) ) )
        = $true )
      | ( ( ~ ( ( ( uminus1381786404um_c_c @ SV55 )
               != ( uminus1381786404um_c_c @ SV365 ) )
              | ( SV55 != SV365 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2149]) ).

thf(2492,plain,
    ! [SV368: set_Sum_sum_c_c,SV58: set_Sum_sum_c_c] :
      ( ( ( ~ ( ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SV58 ) @ ( uminus1381786404um_c_c @ SV368 ) )
              | ( ord_le1772180283um_c_c @ SV368 @ SV58 ) ) )
        = $true )
      | ( ( ~ ( ~ ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SV58 ) @ ( uminus1381786404um_c_c @ SV368 ) )
              | ~ ( ord_le1772180283um_c_c @ SV368 @ SV58 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2151]) ).

thf(2493,plain,
    ! [SV369: set_Sum_sum_c_c,SV59: set_Sum_sum_c_c] :
      ( ( ( ~ ( ( ( uminus1381786404um_c_c @ SV59 )
                = ( uminus1381786404um_c_c @ SV369 ) )
              | ( SV59 = SV369 ) ) )
        = $true )
      | ( ( ~ ( ( ( uminus1381786404um_c_c @ SV59 )
               != ( uminus1381786404um_c_c @ SV369 ) )
              | ( SV59 != SV369 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2153]) ).

thf(2494,plain,
    ! [SV370: set_c,SV60: c] :
      ( ( ( ~ ( ( member_c @ SV60 @ ( uminus_uminus_set_c @ SV370 ) )
              | ~ ( member_c @ SV60 @ SV370 ) ) )
        = $true )
      | ( ( ~ ( ~ ( member_c @ SV60 @ ( uminus_uminus_set_c @ SV370 ) )
              | ~ ~ ( member_c @ SV60 @ SV370 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2155]) ).

thf(2495,plain,
    ! [SV371: set_Sum_sum_c_d,SV61: sum_sum_c_d] :
      ( ( ( ~ ( ( member_Sum_sum_c_d @ SV61 @ ( uminus373867045um_c_d @ SV371 ) )
              | ~ ( member_Sum_sum_c_d @ SV61 @ SV371 ) ) )
        = $true )
      | ( ( ~ ( ~ ( member_Sum_sum_c_d @ SV61 @ ( uminus373867045um_c_d @ SV371 ) )
              | ~ ~ ( member_Sum_sum_c_d @ SV61 @ SV371 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2157]) ).

thf(2496,plain,
    ! [SV372: set_Pr1389752855real_c,SV62: produc190496183real_c] :
      ( ( ( ~ ( ( member1895684704real_c @ SV62 @ ( uminus232257166real_c @ SV372 ) )
              | ~ ( member1895684704real_c @ SV62 @ SV372 ) ) )
        = $true )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV62 @ ( uminus232257166real_c @ SV372 ) )
              | ~ ~ ( member1895684704real_c @ SV62 @ SV372 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2159]) ).

thf(2497,plain,
    ! [SV373: set_re2066790124real_c,SV63: real > finite1398487019real_c] :
      ( ( ( ~ ( ( member1321351885real_c @ SV63 @ ( uminus946614837real_c @ SV373 ) )
              | ~ ( member1321351885real_c @ SV63 @ SV373 ) ) )
        = $true )
      | ( ( ~ ( ~ ( member1321351885real_c @ SV63 @ ( uminus946614837real_c @ SV373 ) )
              | ~ ~ ( member1321351885real_c @ SV63 @ SV373 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2161]) ).

thf(2498,plain,
    ! [SV374: set_Sum_sum_c_c,SV64: sum_sum_c_c] :
      ( ( ( ~ ( ( member_Sum_sum_c_c @ SV64 @ ( uminus1381786404um_c_c @ SV374 ) )
              | ~ ( member_Sum_sum_c_c @ SV64 @ SV374 ) ) )
        = $true )
      | ( ( ~ ( ~ ( member_Sum_sum_c_c @ SV64 @ ( uminus1381786404um_c_c @ SV374 ) )
              | ~ ~ ( member_Sum_sum_c_c @ SV64 @ SV374 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2163]) ).

thf(2499,plain,
    ! [SV856: set_Sum_sum_c_c,SV381: set_Sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ SV381 @ SV856 )
        = ( ord_le1315653386_c_c_o
          @ ^ [SY1915: sum_sum_c_c] : ( member_Sum_sum_c_c @ SY1915 @ SV381 )
          @ ^ [SY2608: sum_sum_c_c] : ( member_Sum_sum_c_c @ SY2608 @ SV856 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2171]) ).

thf(2500,plain,
    ! [SV857: set_c,SV382: set_c] :
      ( ( ( ord_less_eq_set_c @ SV382 @ SV857 )
        = ( ord_less_eq_c_o
          @ ^ [SY1918: c] : ( member_c @ SY1918 @ SV382 )
          @ ^ [SY2610: c] : ( member_c @ SY2610 @ SV857 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2173]) ).

thf(2501,plain,
    ! [SV858: set_Sum_sum_c_d,SV383: set_Sum_sum_c_d] :
      ( ( ( ord_le764260924um_c_d @ SV383 @ SV858 )
        = ( ord_le2143422793_c_d_o
          @ ^ [SY1921: sum_sum_c_d] : ( member_Sum_sum_c_d @ SY1921 @ SV383 )
          @ ^ [SY2612: sum_sum_c_d] : ( member_Sum_sum_c_d @ SY2612 @ SV858 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2175]) ).

thf(2502,plain,
    ! [SV859: set_Pr1389752855real_c,SV384: set_Pr1389752855real_c] :
      ( ( ( ord_le977353143real_c @ SV384 @ SV859 )
        = ( ord_le1132241894al_c_o
          @ ^ [SY1924: produc190496183real_c] : ( member1895684704real_c @ SY1924 @ SV384 )
          @ ^ [SY2614: produc190496183real_c] : ( member1895684704real_c @ SY2614 @ SV859 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2177]) ).

thf(2503,plain,
    ! [SV860: set_re2066790124real_c,SV385: set_re2066790124real_c] :
      ( ( ( ord_le35002188real_c @ SV385 @ SV860 )
        = ( ord_le818951225al_c_o
          @ ^ [SY1927: real > finite1398487019real_c] : ( member1321351885real_c @ SY1927 @ SV385 )
          @ ^ [SY2616: real > finite1398487019real_c] : ( member1321351885real_c @ SY2616 @ SV860 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2179]) ).

thf(2504,plain,
    ! [SV861: c,SV398: produc190496183real_c] :
      ( ( ( denotational_repd_c @ SV398 @ SV861 )
        = ( ^ [SY2617: real] :
              ( produc394644079real_c @ ( produc2010422875real_c @ SV398 )
              @ ( finite557796307c_real
                @ ^ [SY2618: c] : ( if_real @ ( SV861 = SY2618 ) @ SY2617 @ ( finite772340578real_c @ ( produc314122909real_c @ SV398 ) @ SY2618 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2181]) ).

thf(2505,plain,
    ! [SV658: set_Sum_sum_c_c,SV399: set_c,SV93: c > sum_sum_c_c] :
      ( ( ~ ( ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV93 @ SV399 ) @ SV658 )
            | ( member_c_Sum_sum_c_c @ SV93
              @ ( pi_c_Sum_sum_c_c @ SV399
                @ ^ [SY2391: c] : SV658 ) ) )
        | ~ ( ~ ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV93 @ SV399 ) @ SV658 )
            | ~ ( member_c_Sum_sum_c_c @ SV93
                @ ( pi_c_Sum_sum_c_c @ SV399
                  @ ^ [SY2391: c] : SV658 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2183]) ).

thf(2506,plain,
    ! [SV658: set_Sum_sum_c_c,SV399: set_c,SV93: c > sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV93 @ SV399 ) @ SV658 )
        = ( member_c_Sum_sum_c_c @ SV93
          @ ( pi_c_Sum_sum_c_c @ SV399
            @ ^ [SY2391: c] : SV658 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2183]) ).

thf(2507,plain,
    ! [SV659: set_Sum_sum_c_d,SV400: set_c,SV94: c > sum_sum_c_d] :
      ( ( ~ ( ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV94 @ SV400 ) @ SV659 )
            | ( member_c_Sum_sum_c_d @ SV94
              @ ( pi_c_Sum_sum_c_d @ SV400
                @ ^ [SY2392: c] : SV659 ) ) )
        | ~ ( ~ ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV94 @ SV400 ) @ SV659 )
            | ~ ( member_c_Sum_sum_c_d @ SV94
                @ ( pi_c_Sum_sum_c_d @ SV400
                  @ ^ [SY2392: c] : SV659 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2184]) ).

thf(2508,plain,
    ! [SV659: set_Sum_sum_c_d,SV400: set_c,SV94: c > sum_sum_c_d] :
      ( ( ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV94 @ SV400 ) @ SV659 )
        = ( member_c_Sum_sum_c_d @ SV94
          @ ( pi_c_Sum_sum_c_d @ SV400
            @ ^ [SY2392: c] : SV659 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2184]) ).

thf(2509,plain,
    ! [SV660: set_Fi1407883041real_c,SV401: set_real,SV95: real > finite1398487019real_c] :
      ( ( ~ ( ( ord_le1327118209real_c @ ( image_327677598real_c @ SV95 @ SV401 ) @ SV660 )
            | ( member1321351885real_c @ SV95
              @ ( pi_rea1111636068real_c @ SV401
                @ ^ [SY2393: real] : SV660 ) ) )
        | ~ ( ~ ( ord_le1327118209real_c @ ( image_327677598real_c @ SV95 @ SV401 ) @ SV660 )
            | ~ ( member1321351885real_c @ SV95
                @ ( pi_rea1111636068real_c @ SV401
                  @ ^ [SY2393: real] : SV660 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2185]) ).

thf(2510,plain,
    ! [SV660: set_Fi1407883041real_c,SV401: set_real,SV95: real > finite1398487019real_c] :
      ( ( ( ord_le1327118209real_c @ ( image_327677598real_c @ SV95 @ SV401 ) @ SV660 )
        = ( member1321351885real_c @ SV95
          @ ( pi_rea1111636068real_c @ SV401
            @ ^ [SY2393: real] : SV660 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2185]) ).

thf(2511,plain,
    ! [SV98: $o] :
      ( ( ( ~ ( SV98
              | $true ) )
        = $true )
      | ( ( ~ ( ~ SV98
              | ~ $true ) )
        = $true )
      | ( ( SV98 = $false )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2186]) ).

thf(2512,plain,
    ! [SV98: $o] :
      ( ( ( ~ ( SV98
              | $false )
          | ~ ( ~ SV98
              | ~ $false ) )
        = $true )
      | ( ( SV98 = $true )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2187]) ).

thf(2513,plain,
    ! [SV98: $o] :
      ( ( ( SV98 = $false )
        = $true )
      | ( ( SV98 = $true )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2187]) ).

thf(2514,plain,
    ( ( ( ~ ( $true
            | $true ) )
      = $true )
    | ( ( ~ ( ~ $true
            | ~ $true ) )
      = $true )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2188]) ).

thf(2515,plain,
    ( ( ( ~ ( $true
            | $false )
        | ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2189]) ).

thf(2516,plain,
    ( ( ( $true = $false )
      = $true )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2189]) ).

thf(2517,plain,
    ( ( ( ~ ( $false
            | $true ) )
      = $true )
    | ( ( ~ ( ~ $false
            | ~ $true ) )
      = $true )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2190]) ).

thf(2518,plain,
    ( ( ( ~ ( $false
            | $false )
        | ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2191]) ).

thf(2519,plain,
    ( ( ( $false = $false )
      = $true )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2191]) ).

thf(2520,plain,
    ! [SV661: sum_sum_c_d,SV406: set_Sum_sum_c_d,SV101: set_Sum_sum_c_d] :
      ( ( ( ~ ( ord_le764260924um_c_d @ SV101 @ SV406 ) )
        = $true )
      | ( ( ~ ( member_Sum_sum_c_d @ SV661 @ SV101 )
          | ( member_Sum_sum_c_d @ SV661 @ SV406 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2192]) ).

thf(2521,plain,
    ! [SV407: set_Sum_sum_c_d,SV102: set_Sum_sum_c_d] :
      ( ( ( ! [SY1951: sum_sum_c_d] :
              ( ~ ( member_Sum_sum_c_d @ SY1951 @ SV102 )
              | ( member_Sum_sum_c_d @ SY1951 @ SV407 ) ) )
        = $false )
      | ( ( ord_le764260924um_c_d @ SV102 @ SV407 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2193]) ).

thf(2522,plain,
    ! [SV862: real,SV662: set_Fi1407883041real_c,SV408: set_real,SV103: real > finite1398487019real_c] :
      ( ( ~ ( member1321351885real_c @ SV103
            @ ( pi_rea1111636068real_c @ SV408
              @ ^ [SY2395: real] : SV662 ) )
        | ~ ( member_real @ SV862 @ SV408 )
        | ( member1261661570real_c @ ( SV103 @ SV862 ) @ SV662 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2194]) ).

thf(2523,plain,
    ! [SV863: sum_sum_c_c,SV663: sum_sum_c_c > set_c,SV409: set_Sum_sum_c_c,SV104: sum_sum_c_c > c] :
      ( ( ~ ( member_Sum_sum_c_c_c @ SV104 @ ( pi_Sum_sum_c_c_c @ SV409 @ SV663 ) )
        | ~ ( member_Sum_sum_c_c @ SV863 @ SV409 )
        | ( member_c @ ( SV104 @ SV863 ) @ ( SV663 @ SV863 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2195]) ).

thf(2524,plain,
    ! [SV664: c,SV410: set_c,SV105: set_c] :
      ( ( ( ~ ( ord_less_eq_set_c @ SV105 @ SV410 ) )
        = $true )
      | ( ( ~ ( member_c @ SV664 @ SV105 )
          | ( member_c @ SV664 @ SV410 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2196]) ).

thf(2525,plain,
    ! [SV864: real > finite1398487019real_c,SV665: set_re2066790124real_c,SV411: set_re2066790124real_c,SV106: ( real > finite1398487019real_c ) > real > finite1398487019real_c] :
      ( ( ~ ( member1851015714real_c @ SV106
            @ ( pi_rea1386151481real_c @ SV411
              @ ^ [SY2398: real > finite1398487019real_c] : SV665 ) )
        | ~ ( member1321351885real_c @ SV864 @ SV411 )
        | ( member1321351885real_c @ ( SV106 @ SV864 ) @ SV665 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2197]) ).

thf(2526,plain,
    ! [SV865: finite1398487019real_c,SV666: finite1398487019real_c,SV412: finite1398487019real_c,SV107: finite1398487019real_c] :
      ( ( ( ( produc394644079real_c @ SV107 @ SV412 )
          = ( produc394644079real_c @ SV666 @ SV865 ) )
        = ( ~ ( ( SV107 != SV666 )
              | ( SV412 != SV865 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2198]) ).

thf(2527,plain,
    ! [SV668: set_c,SV414: c > sum_sum_c_d,SV109: set_Sum_sum_c_d] :
      ( ( ~ ( ( ord_le764260924um_c_d @ SV109 @ ( image_c_Sum_sum_c_d @ SV414 @ SV668 ) )
            | ~ ! [SY2402: set_c] :
                  ~ ~ ( ~ ( ord_less_eq_set_c @ SY2402 @ SV668 )
                      | ( SV109
                       != ( image_c_Sum_sum_c_d @ SV414 @ SY2402 ) ) ) )
        | ~ ( ~ ( ord_le764260924um_c_d @ SV109 @ ( image_c_Sum_sum_c_d @ SV414 @ SV668 ) )
            | ~ ~ ! [SY2402: set_c] :
                    ~ ~ ( ~ ( ord_less_eq_set_c @ SY2402 @ SV668 )
                        | ( SV109
                         != ( image_c_Sum_sum_c_d @ SV414 @ SY2402 ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2200]) ).

thf(2528,plain,
    ! [SV668: set_c,SV414: c > sum_sum_c_d,SV109: set_Sum_sum_c_d] :
      ( ( ( ord_le764260924um_c_d @ SV109 @ ( image_c_Sum_sum_c_d @ SV414 @ SV668 ) )
        = ( ~ ! [SY2402: set_c] :
                ~ ~ ( ~ ( ord_less_eq_set_c @ SY2402 @ SV668 )
                    | ( SV109
                     != ( image_c_Sum_sum_c_d @ SV414 @ SY2402 ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2200]) ).

thf(2529,plain,
    ! [SV866: finite1398487019real_c,SV669: oDE_a_c,SV415: denota231621370t_unit,SV110: produc190496183real_c] :
      ( ( ~ ! [SY2621: produc190496183real_c] :
              ~ ~ ( ~ ( denota1997846518gree_c @ SY2621 @ SV110 @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ SV415 @ SV669 ) ) )
                  | ~ ( denota1997846518gree_c @ SY2621 @ ( denota1896987029_a_b_c @ SV415 @ SV669 @ SV866 ) @ ( denota1293057250_a_b_c @ SV415 @ SV669 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2201]) ).

thf(2530,plain,
    ( ( ( fsafe_a_b_c @ phi )
      = $false )
    | ( ( ( ode != oDEa )
        | ( p != phi )
        | ~ ( ord_less_eq_real @ zero_zero_real @ t )
        | ( ( produc394644079real_c @ aa @ ba )
         != ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
        | ~ ( initia1631504802real_c @ sol
            @ ^ [SX0: real] : ( denota1275485728_a_b_c @ i @ oDEa )
            @ ( set_or656347191t_real @ zero_zero_real @ t )
            @ ( collec230941376real_c
              @ ^ [SX0: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ SX0 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) )
        | ~ ( denota256060419gree_c @ ( sol @ zero_zero_real ) @ ab
            @ ( collect_c
              @ ^ [SX0: c] :
                  ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_BVO_a_c @ oDEa ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( static_FVO_a_c @ oDEa ) ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_FVF_a_b_c @ phi ) ) ) ) )
        | ( ab
          = ( finite557796307c_real
            @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
      = $true )
    | ( ( osafe_a_c @ oDEa )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2202]) ).

thf(2531,plain,
    ! [SV416: oDE_a_c,SV111: c] :
      ( ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SV111 ) @ ( static_BVO_a_c @ SV416 ) )
        = $false )
      | ( ( member_c @ SV111 @ ( static_FVO_a_c @ SV416 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2203]) ).

thf(2532,plain,
    ! [SV670: produc190496183real_c,SV417: produc190496183real_c,SV112: produc190496183real_c] :
      ( ( ~ ( ( member1895684704real_c @ SV112 @ ( set_or385782508real_c @ SV417 @ SV670 ) )
            | ~ ( ~ ( ord_le850691415real_c @ SV417 @ SV112 )
                | ~ ( ord_le850691415real_c @ SV112 @ SV670 ) ) )
        | ~ ( ~ ( member1895684704real_c @ SV112 @ ( set_or385782508real_c @ SV417 @ SV670 ) )
            | ~ ~ ( ~ ( ord_le850691415real_c @ SV417 @ SV112 )
                  | ~ ( ord_le850691415real_c @ SV112 @ SV670 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2204]) ).

thf(2533,plain,
    ! [SV670: produc190496183real_c,SV417: produc190496183real_c,SV112: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV112 @ ( set_or385782508real_c @ SV417 @ SV670 ) )
        = ( ~ ( ~ ( ord_le850691415real_c @ SV417 @ SV112 )
              | ~ ( ord_le850691415real_c @ SV112 @ SV670 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2204]) ).

thf(2534,plain,
    ! [SV867: set_c,SV671: c,SV418: c > sum_sum_c_d,SV113: sum_sum_c_d] :
      ( ( ( SV113
         != ( SV418 @ SV671 ) )
        | ~ ( member_c @ SV671 @ SV867 )
        | ( member_Sum_sum_c_d @ SV113 @ ( image_c_Sum_sum_c_d @ SV418 @ SV867 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2205]) ).

thf(2535,plain,
    ! [SV672: set_c,SV420: c > sum_sum_c_d,SV115: sum_sum_c_d] :
      ( ( ~ ( ( member_Sum_sum_c_d @ SV115 @ ( image_c_Sum_sum_c_d @ SV420 @ SV672 ) )
            | ~ ! [SY2406: c] :
                  ~ ~ ( ~ ( member_c @ SY2406 @ SV672 )
                      | ( SV115
                       != ( SV420 @ SY2406 ) ) ) )
        | ~ ( ~ ( member_Sum_sum_c_d @ SV115 @ ( image_c_Sum_sum_c_d @ SV420 @ SV672 ) )
            | ~ ~ ! [SY2406: c] :
                    ~ ~ ( ~ ( member_c @ SY2406 @ SV672 )
                        | ( SV115
                         != ( SV420 @ SY2406 ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2207]) ).

thf(2536,plain,
    ! [SV672: set_c,SV420: c > sum_sum_c_d,SV115: sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ SV115 @ ( image_c_Sum_sum_c_d @ SV420 @ SV672 ) )
        = ( ~ ! [SY2406: c] :
                ~ ~ ( ~ ( member_c @ SY2406 @ SV672 )
                    | ( SV115
                     != ( SV420 @ SY2406 ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2207]) ).

thf(2537,plain,
    ! [SV673: set_re2066790124real_c,SV421: c > real > finite1398487019real_c,SV116: set_c] :
      ( ( ( ~ ! [SY2407: c] :
                ( ~ ( member_c @ SY2407 @ SV116 )
                | ( member1321351885real_c @ ( SV421 @ SY2407 ) @ SV673 ) ) )
        = $true )
      | ( ( member469531344real_c @ SV421
          @ ( pi_c_r41638571real_c @ SV116
            @ ^ [SY2408: c] : SV673 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2208]) ).

thf(2538,plain,
    ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) ) )
      = $true )
    | ( ( ( finite772340578real_c @ ( produc314122909real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) ) @ i2 )
        = ( finite772340578real_c @ ( denota1275485728_a_b_c @ i @ oDEa @ ( sol @ x ) ) @ i2 ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2209]) ).

thf(2539,plain,
    ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) ) )
      = $true )
    | ( ( ( finite772340578real_c @ ( produc314122909real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) ) @ i2 )
        = ( finite772340578real_c @ ( denota1275485728_a_b_c @ i @ oDEa @ ( sol @ x ) ) @ i2 ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2210]) ).

thf(2540,plain,
    ! [SV674: real,SV422: real,SV117: real] :
      ( ( ~ ( ( member_real @ SV117 @ ( set_or656347191t_real @ SV422 @ SV674 ) )
            | ~ ( ~ ( ord_less_eq_real @ SV422 @ SV117 )
                | ~ ( ord_less_eq_real @ SV117 @ SV674 ) ) )
        | ~ ( ~ ( member_real @ SV117 @ ( set_or656347191t_real @ SV422 @ SV674 ) )
            | ~ ~ ( ~ ( ord_less_eq_real @ SV422 @ SV117 )
                  | ~ ( ord_less_eq_real @ SV117 @ SV674 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2211]) ).

thf(2541,plain,
    ! [SV674: real,SV422: real,SV117: real] :
      ( ( ( member_real @ SV117 @ ( set_or656347191t_real @ SV422 @ SV674 ) )
        = ( ~ ( ~ ( ord_less_eq_real @ SV422 @ SV117 )
              | ~ ( ord_less_eq_real @ SV117 @ SV674 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2211]) ).

thf(2542,plain,
    ! [SV675: set_Sum_sum_c_c,SV423: sum_sum_c_c > c,SV118: c] :
      ( ( ( ~ ( member_c @ SV118 @ ( image_Sum_sum_c_c_c @ SV423 @ SV675 ) ) )
        = $true )
      | ( ( ~ ! [SY2409: sum_sum_c_c] :
                ( ( SV118
                 != ( SV423 @ SY2409 ) )
                | ~ ( member_Sum_sum_c_c @ SY2409 @ SV675 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2212]) ).

thf(2543,plain,
    ! [SV868: finite1398487019real_c,SV424: finite1398487019real_c] :
      ( ( ( denota256060419gree_c @ SV424 @ SV868 )
        = ( ^ [SY2622: set_c] :
            ! [SY2623: c] :
              ( ~ ( member_c @ SY2623 @ SY2622 )
              | ( ( finite772340578real_c @ SV424 @ SY2623 )
                = ( finite772340578real_c @ SV868 @ SY2623 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2213]) ).

thf(2544,plain,
    ! [SV677: set_Sum_sum_c_c,SV425: sum_sum_c_d > sum_sum_c_c,SV120: set_Sum_sum_c_d] :
      ( ( ( ~ ! [SY2412: sum_sum_c_d] :
                ( ~ ( member_Sum_sum_c_d @ SY2412 @ SV120 )
                | ( member_Sum_sum_c_c @ ( SV425 @ SY2412 ) @ SV677 ) ) )
        = $true )
      | ( ( ord_le1772180283um_c_c @ ( image_1558941394um_c_c @ SV425 @ SV120 ) @ SV677 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2215]) ).

thf(2545,plain,
    ! [SV427: set_Sum_sum_c_c,SV122: set_Sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ SV122 @ SV427 )
        = $false )
      | ( ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SV427 ) @ ( uminus1381786404um_c_c @ SV122 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2216]) ).

thf(2546,plain,
    ! [SV679: sum_sum_c_c > set_Sum_sum_c_d,SV429: sum_sum_c_c > sum_sum_c_d,SV124: set_Sum_sum_c_c] :
      ( ( ( ~ ! [SY2415: sum_sum_c_c] :
                ( ~ ( member_Sum_sum_c_c @ SY2415 @ SV124 )
                | ( member_Sum_sum_c_d @ ( SV429 @ SY2415 ) @ ( SV679 @ SY2415 ) ) ) )
        = $true )
      | ( ( member318754689um_c_d @ SV429 @ ( pi_Sum261268376um_c_d @ SV124 @ SV679 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2218]) ).

thf(2547,plain,
    ! [SV869: set_Sum_sum_c_d,SV430: set_Sum_sum_c_d] :
      ( ( ( ord_le764260924um_c_d @ SV430 @ SV869 )
        = ( ! [SY2624: sum_sum_c_d] :
              ( ~ ( member_Sum_sum_c_d @ SY2624 @ SV430 )
              | ( member_Sum_sum_c_d @ SY2624 @ SV869 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2219]) ).

thf(2548,plain,
    ! [SV681: sum_sum_c_d > set_c,SV431: sum_sum_c_d > c,SV126: set_Sum_sum_c_d] :
      ( ( ( ~ ! [SY2417: sum_sum_c_d] :
                ( ~ ( member_Sum_sum_c_d @ SY2417 @ SV126 )
                | ( member_c @ ( SV431 @ SY2417 ) @ ( SV681 @ SY2417 ) ) ) )
        = $true )
      | ( ( member_Sum_sum_c_d_c @ SV431 @ ( pi_Sum_sum_c_d_c @ SV126 @ SV681 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2221]) ).

thf(2549,plain,
    ! [SV432: set_Sum_sum_c_c,SV127: set_Sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ SV127 @ SV432 )
        = $false )
      | ( ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SV432 ) @ ( uminus1381786404um_c_c @ SV127 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2222]) ).

thf(2550,plain,
    ! [SV682: c > sum_sum_c_c,SV433: set_c,SV128: set_c] :
      ( ( ( ~ ( ord_less_eq_set_c @ SV128 @ SV433 ) )
        = $true )
      | ( ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV682 @ SV128 ) @ ( image_c_Sum_sum_c_c @ SV682 @ SV433 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2223]) ).

thf(2551,plain,
    ! [SV683: sum_sum_c_c > $o,SV434: set_c,SV129: c > sum_sum_c_c] :
      ( ( ( ~ ! [SY2418: sum_sum_c_c] :
                ( ~ ( member_Sum_sum_c_c @ SY2418 @ ( image_c_Sum_sum_c_c @ SV129 @ SV434 ) )
                | ( SV683 @ SY2418 ) ) )
        = $true )
      | ( ( ! [SY2419: c] :
              ( ~ ( member_c @ SY2419 @ SV434 )
              | ( SV683 @ ( SV129 @ SY2419 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2226]) ).

thf(2552,plain,
    ! [SV684: set_Sum_sum_c_d,SV435: sum_sum_c_c > sum_sum_c_d,SV130: set_Sum_sum_c_c] :
      ( ( ( ~ ! [SY2420: sum_sum_c_c] :
                ( ~ ( member_Sum_sum_c_c @ SY2420 @ SV130 )
                | ( member_Sum_sum_c_d @ ( SV435 @ SY2420 ) @ SV684 ) ) )
        = $true )
      | ( ( ord_le764260924um_c_d @ ( image_675141842um_c_d @ SV435 @ SV130 ) @ SV684 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2227]) ).

thf(2553,plain,
    ! [SV870: c,SV685: c > set_Sum_sum_c_c,SV436: set_c,SV131: c > sum_sum_c_c] :
      ( ( ~ ( member_c_Sum_sum_c_c @ SV131 @ ( pi_c_Sum_sum_c_c @ SV436 @ SV685 ) )
        | ~ ( member_c @ SV870 @ SV436 )
        | ( member_Sum_sum_c_c @ ( SV131 @ SV870 ) @ ( SV685 @ SV870 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2228]) ).

thf(2554,plain,
    ! [SV871: set_re2066790124real_c,SV437: set_re2066790124real_c] :
      ( ( ( ord_le35002188real_c @ SV437 @ SV871 )
        = ( ! [SY2625: real > finite1398487019real_c] :
              ( ~ ( member1321351885real_c @ SY2625 @ SV437 )
              | ( member1321351885real_c @ SY2625 @ SV871 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2229]) ).

thf(2555,plain,
    ! [SV872: c,SV687: c > set_Sum_sum_c_d,SV438: set_c,SV133: c > sum_sum_c_d] :
      ( ( ~ ( member_c_Sum_sum_c_d @ SV133 @ ( pi_c_Sum_sum_c_d @ SV438 @ SV687 ) )
        | ~ ( member_c @ SV872 @ SV438 )
        | ( member_Sum_sum_c_d @ ( SV133 @ SV872 ) @ ( SV687 @ SV872 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2231]) ).

thf(2556,plain,
    ! [SV873: c,SV688: c > set_Sum_sum_c_d,SV439: set_c,SV134: c > sum_sum_c_d] :
      ( ( ~ ( member_c_Sum_sum_c_d @ SV134 @ ( pi_c_Sum_sum_c_d @ SV439 @ SV688 ) )
        | ~ ~ ( member_Sum_sum_c_d @ ( SV134 @ SV873 ) @ ( SV688 @ SV873 ) )
        | ~ ( member_c @ SV873 @ SV439 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2232]) ).

thf(2557,plain,
    ! [SV440: produc190496183real_c,SV135: produc190496183real_c > $o] :
      ( ( ( ! [SY1346: finite1398487019real_c,SY1347: finite1398487019real_c] : ( SV135 @ ( produc394644079real_c @ SY1346 @ SY1347 ) ) )
        = $false )
      | ( ( SV135 @ SV440 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2233]) ).

thf(2558,plain,
    ! [SV689: set_c,SV441: c > c,SV136: set_c] :
      ( ( ( ~ ! [SY2425: c] :
                ( ~ ( member_c @ SY2425 @ SV136 )
                | ( member_c @ ( SV441 @ SY2425 ) @ SV689 ) ) )
        = $true )
      | ( ( member_c_c @ SV441
          @ ( pi_c_c @ SV136
            @ ^ [SY2426: c] : SV689 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2234]) ).

thf(2559,plain,
    ! [SV442: finite1398487019real_c > $o,SV137: finite1398487019real_c > $o] :
      ( ( ( ! [SY2016: finite1398487019real_c] :
              ( ( SV137 @ SY2016 )
              = ( SV442 @ SY2016 ) ) )
        = $false )
      | ( ( ( collec230941376real_c @ SV137 )
          = ( collec230941376real_c @ SV442 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2235]) ).

thf(2560,plain,
    ! [SV443: produc190496183real_c,SV138: produc190496183real_c > $o] :
      ( ( ( ! [SY1355: finite1398487019real_c,SY1356: finite1398487019real_c] : ( SV138 @ ( produc394644079real_c @ SY1355 @ SY1356 ) ) )
        = $false )
      | ( ( SV138 @ SV443 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2236]) ).

thf(2561,plain,
    ! [SV874: real > finite1398487019real_c,SV690: set_c,SV444: set_re2066790124real_c,SV139: ( real > finite1398487019real_c ) > c] :
      ( ( ~ ( member527957930al_c_c @ SV139
            @ ( pi_rea1228756413al_c_c @ SV444
              @ ^ [SY2428: real > finite1398487019real_c] : SV690 ) )
        | ~ ( member1321351885real_c @ SV874 @ SV444 )
        | ( member_c @ ( SV139 @ SV874 ) @ SV690 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2237]) ).

thf(2562,plain,
    ! [SV691: set_c,SV445: c > c,SV140: c] :
      ( ( ( ~ ( member_c @ SV140 @ ( image_c_c @ SV445 @ SV691 ) ) )
        = $true )
      | ( ( ~ ! [SY2429: c] :
                ( ( SV140
                 != ( SV445 @ SY2429 ) )
                | ~ ( member_c @ SY2429 @ SV691 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2238]) ).

thf(2563,plain,
    ! [SV446: finite1398487019real_c > $o,SV141: finite1398487019real_c > $o] :
      ( ( ( ~ ( ( ord_le1327118209real_c @ ( collec230941376real_c @ SV141 ) @ ( collec230941376real_c @ SV446 ) )
              | ! [SY2024: finite1398487019real_c] :
                  ( ~ ( SV141 @ SY2024 )
                  | ( SV446 @ SY2024 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ord_le1327118209real_c @ ( collec230941376real_c @ SV141 ) @ ( collec230941376real_c @ SV446 ) )
              | ~ ! [SY2024: finite1398487019real_c] :
                    ( ~ ( SV141 @ SY2024 )
                    | ( SV446 @ SY2024 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2239]) ).

thf(2564,plain,
    ! [SV692: set_c,SV447: c > sum_sum_c_d,SV142: sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_d @ SV142 @ ( image_c_Sum_sum_c_d @ SV447 @ SV692 ) ) )
        = $true )
      | ( ( ~ ! [SY2430: c] :
                ( ( SV142
                 != ( SV447 @ SY2430 ) )
                | ~ ( member_c @ SY2430 @ SV692 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2241]) ).

thf(2565,plain,
    ! [SV875: real > set_Fi1407883041real_c,SV693: real > finite1398487019real_c,SV448: real > finite1398487019real_c,SV143: set_real] :
      ( ( ~ ! [SY2432: real] :
              ( ~ ( member_real @ SY2432 @ SV143 )
              | ( ( SV448 @ SY2432 )
                = ( SV693 @ SY2432 ) ) )
        | ( ( member1321351885real_c @ SV448 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) )
          = ( member1321351885real_c @ SV693 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2242]) ).

thf(2566,plain,
    ! [SV694: set_c,SV449: sum_sum_c_d > c,SV144: set_Sum_sum_c_d] :
      ( ( ( ~ ! [SY2433: sum_sum_c_d] :
                ( ~ ( member_Sum_sum_c_d @ SY2433 @ SV144 )
                | ( member_c @ ( SV449 @ SY2433 ) @ SV694 ) ) )
        = $true )
      | ( ( ord_less_eq_set_c @ ( image_Sum_sum_c_d_c @ SV449 @ SV144 ) @ SV694 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2243]) ).

thf(2567,plain,
    ! [SV876: sum_sum_c_c,SV695: sum_sum_c_c > set_Sum_sum_c_d,SV450: set_Sum_sum_c_c,SV145: sum_sum_c_c > sum_sum_c_d] :
      ( ( ~ ( member318754689um_c_d @ SV145 @ ( pi_Sum261268376um_c_d @ SV450 @ SV695 ) )
        | ~ ~ ( member_Sum_sum_c_d @ ( SV145 @ SV876 ) @ ( SV695 @ SV876 ) )
        | ~ ( member_Sum_sum_c_c @ SV876 @ SV450 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2244]) ).

thf(2568,plain,
    ! [SV877: real,SV696: real > set_Fi1407883041real_c,SV451: set_real,SV146: real > finite1398487019real_c] :
      ( ( ~ ( member1321351885real_c @ SV146 @ ( pi_rea1111636068real_c @ SV451 @ SV696 ) )
        | ~ ~ ( member1261661570real_c @ ( SV146 @ SV877 ) @ ( SV696 @ SV877 ) )
        | ~ ( member_real @ SV877 @ SV451 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2245]) ).

thf(2569,plain,
    ! [SV878: real > finite1398487019real_c,SV697: set_Sum_sum_c_c,SV452: set_re2066790124real_c,SV147: ( real > finite1398487019real_c ) > sum_sum_c_c] :
      ( ( ~ ( member354622481um_c_c @ SV147
            @ ( pi_rea1500330408um_c_c @ SV452
              @ ^ [SY2437: real > finite1398487019real_c] : SV697 ) )
        | ~ ( member1321351885real_c @ SV878 @ SV452 )
        | ( member_Sum_sum_c_c @ ( SV147 @ SV878 ) @ SV697 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2246]) ).

thf(2570,plain,
    ! [SV148: produc190496183real_c] :
      ( ( ~ ! [SY2438: finite1398487019real_c] :
              ( SV148
             != ( produc394644079real_c @ ( sK1_SY1386 @ SV148 ) @ SY2438 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2247]) ).

thf(2571,plain,
    ! [SV879: sum_sum_c_d > sum_sum_c_c,SV698: sum_sum_c_c,SV453: set_Sum_sum_c_d,SV149: sum_sum_c_d] :
      ( ( ~ ( member_Sum_sum_c_d @ SV149 @ SV453 )
        | ( SV698
         != ( SV879 @ SV149 ) )
        | ( member_Sum_sum_c_c @ SV698 @ ( image_1558941394um_c_c @ SV879 @ SV453 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2248]) ).

thf(2572,plain,
    ! [SV699: set_Sum_sum_c_d,SV454: set_c,SV150: c > sum_sum_c_d] :
      ( ( ~ ( ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV150 @ SV454 ) @ SV699 )
            | ! [SY2440: c] :
                ( ~ ( member_c @ SY2440 @ SV454 )
                | ( member_Sum_sum_c_d @ ( SV150 @ SY2440 ) @ SV699 ) ) )
        | ~ ( ~ ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV150 @ SV454 ) @ SV699 )
            | ~ ! [SY2440: c] :
                  ( ~ ( member_c @ SY2440 @ SV454 )
                  | ( member_Sum_sum_c_d @ ( SV150 @ SY2440 ) @ SV699 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2249]) ).

thf(2573,plain,
    ! [SV699: set_Sum_sum_c_d,SV454: set_c,SV150: c > sum_sum_c_d] :
      ( ( ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV150 @ SV454 ) @ SV699 )
        = ( ! [SY2440: c] :
              ( ~ ( member_c @ SY2440 @ SV454 )
              | ( member_Sum_sum_c_d @ ( SV150 @ SY2440 ) @ SV699 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2249]) ).

thf(2574,plain,
    ! [SV880: set_c,SV700: c,SV455: c > sum_sum_c_c,SV151: sum_sum_c_c] :
      ( ( ( SV151
         != ( SV455 @ SV700 ) )
        | ~ ( member_c @ SV700 @ SV880 )
        | ( member_Sum_sum_c_c @ SV151 @ ( image_c_Sum_sum_c_c @ SV455 @ SV880 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2250]) ).

thf(2575,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          = ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = ( ~ ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
                  | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
              | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
                  | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2251]) ).

thf(2576,plain,
    ! [SV457: set_Pr1389752855real_c,SV153: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV153 @ SV457 ) )
        = $false )
      | ( ( member1895684704real_c @ SV153 @ ( uminus232257166real_c @ SV457 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2252]) ).

thf(2577,plain,
    ! [SV882: sum_sum_c_d,SV702: sum_sum_c_d > set_Sum_sum_c_c,SV459: set_Sum_sum_c_d,SV155: sum_sum_c_d > sum_sum_c_c] :
      ( ( ~ ( member71251457um_c_c @ SV155 @ ( pi_Sum1145067928um_c_c @ SV459 @ SV702 ) )
        | ~ ~ ( member_Sum_sum_c_c @ ( SV155 @ SV882 ) @ ( SV702 @ SV882 ) )
        | ~ ( member_Sum_sum_c_d @ SV882 @ SV459 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2255]) ).

thf(2578,plain,
    ! [SV703: set_c,SV461: c > c,SV157: set_c] :
      ( ( ( ~ ! [SY2444: c] :
                ( ~ ( member_c @ SY2444 @ SV157 )
                | ( member_c @ ( SV461 @ SY2444 ) @ SV703 ) ) )
        = $true )
      | ( ( ord_less_eq_set_c @ ( image_c_c @ SV461 @ SV157 ) @ SV703 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2257]) ).

thf(2579,plain,
    ! [SV462: produc190496183real_c,SV158: produc190496183real_c] :
      ( ( ( ~ ( ( ( produc2010422875real_c @ SV158 )
               != ( produc2010422875real_c @ SV462 ) )
              | ( ( produc314122909real_c @ SV158 )
               != ( produc314122909real_c @ SV462 ) ) ) )
        = $false )
      | ( ( SV158 = SV462 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2258]) ).

thf(2580,plain,
    ! [SV704: set_Sum_sum_c_d,SV463: c > sum_sum_c_d,SV159: set_c] :
      ( ( ( ~ ! [SY2445: c] :
                ( ~ ( member_c @ SY2445 @ SV159 )
                | ( member_Sum_sum_c_d @ ( SV463 @ SY2445 ) @ SV704 ) ) )
        = $true )
      | ( ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV463 @ SV159 ) @ SV704 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2259]) ).

thf(2581,plain,
    ! [SV706: set_Sum_sum_c_c,SV465: set_c,SV161: c > sum_sum_c_c] :
      ( ( ~ ( ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV161 @ SV465 ) @ SV706 )
            | ! [SY2448: c] :
                ( ~ ( member_c @ SY2448 @ SV465 )
                | ( member_Sum_sum_c_c @ ( SV161 @ SY2448 ) @ SV706 ) ) )
        | ~ ( ~ ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV161 @ SV465 ) @ SV706 )
            | ~ ! [SY2448: c] :
                  ( ~ ( member_c @ SY2448 @ SV465 )
                  | ( member_Sum_sum_c_c @ ( SV161 @ SY2448 ) @ SV706 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2261]) ).

thf(2582,plain,
    ! [SV706: set_Sum_sum_c_c,SV465: set_c,SV161: c > sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV161 @ SV465 ) @ SV706 )
        = ( ! [SY2448: c] :
              ( ~ ( member_c @ SY2448 @ SV465 )
              | ( member_Sum_sum_c_c @ ( SV161 @ SY2448 ) @ SV706 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2261]) ).

thf(2583,plain,
    ! [SV707: real > finite1398487019real_c,SV466: set_re2066790124real_c,SV162: set_re2066790124real_c] :
      ( ( ( ~ ( ord_le35002188real_c @ SV162 @ SV466 ) )
        = $true )
      | ( ( ~ ( member1321351885real_c @ SV707 @ SV162 )
          | ( member1321351885real_c @ SV707 @ SV466 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2262]) ).

thf(2584,plain,
    ! [SV883: real,SV708: real,SV467: real,SV163: real] :
      ( ( ( ( set_or656347191t_real @ SV163 @ SV467 )
          = ( set_or656347191t_real @ SV708 @ SV883 ) )
        = ( ~ ( ( SV163 != SV708 )
              | ( SV467 != SV883 ) )
          | ~ ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 )
              | ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2263]) ).

thf(2585,plain,
    ! [SV468: set_re2066790124real_c,SV164: real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ SV164 @ ( uminus946614837real_c @ SV468 ) )
        = $false )
      | ( ( ~ ( member1321351885real_c @ SV164 @ SV468 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2264]) ).

thf(2586,plain,
    ! [SV884: finite1398487019real_c,SV709: produc190496183real_c,SV469: oDE_a_c,SV165: denota231621370t_unit] :
      ( ( ! [SY2629: produc190496183real_c] :
            ( ( ( denota310462944_a_b_c @ SV165 @ SV469 @ SV709 @ SV884 )
             != SY2629 )
            | ( SY2629
              = ( produc394644079real_c
                @ ( finite557796307c_real
                  @ ^ [SY2630: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2630 ) @ ( denota1293057250_a_b_c @ SV165 @ SV469 ) ) @ SV884 @ ( produc2010422875real_c @ SV709 ) ) @ SY2630 ) )
                @ ( finite557796307c_real
                  @ ^ [SY2631: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2631 ) @ ( denota1293057250_a_b_c @ SV165 @ SV469 ) ) @ ( denota1275485728_a_b_c @ SV165 @ SV469 @ SV884 ) @ ( produc314122909real_c @ SV709 ) ) @ SY2631 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2265]) ).

thf(2587,plain,
    ! [SV710: produc190496183real_c,SV470: set_Pr1389752855real_c,SV166: set_Pr1389752855real_c] :
      ( ( ( ~ ( ord_le977353143real_c @ SV166 @ SV470 ) )
        = $true )
      | ( ( ~ ( member1895684704real_c @ SV710 @ SV166 )
          | ( member1895684704real_c @ SV710 @ SV470 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2266]) ).

thf(2588,plain,
    ! [SV471: produc190496183real_c,SV167: produc190496183real_c] :
      ( ( ( ( produc2010422875real_c @ SV167 )
          = ( produc2010422875real_c @ SV471 ) )
        = $false )
      | ( ( ( ( produc314122909real_c @ SV167 )
           != ( produc314122909real_c @ SV471 ) )
          | ( SV167 = SV471 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2267]) ).

thf(2589,plain,
    ! [SV712: set_Sum_sum_c_c,SV473: produc190496183real_c,SV169: produc190496183real_c] :
      ( ( ( ~ ( denota1997846518gree_c @ SV169 @ SV473 @ SV712 ) )
        = $true )
      | ( ( denota1997846518gree_c @ SV473 @ SV169 @ SV712 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2269]) ).

thf(2590,plain,
    ! [SV713: set_Sum_sum_c_d,SV474: sum_sum_c_d > sum_sum_c_d,SV170: set_Sum_sum_c_d] :
      ( ( ( ~ ! [SY2456: sum_sum_c_d] :
                ( ~ ( member_Sum_sum_c_d @ SY2456 @ SV170 )
                | ( member_Sum_sum_c_d @ ( SV474 @ SY2456 ) @ SV713 ) ) )
        = $true )
      | ( ( ord_le764260924um_c_d @ ( image_1567202899um_c_d @ SV474 @ SV170 ) @ SV713 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2270]) ).

thf(2591,plain,
    ! [SV885: sum_sum_c_d,SV714: sum_sum_c_d > set_c,SV475: set_Sum_sum_c_d,SV171: sum_sum_c_d > c] :
      ( ( ~ ( member_Sum_sum_c_d_c @ SV171 @ ( pi_Sum_sum_c_d_c @ SV475 @ SV714 ) )
        | ~ ( member_Sum_sum_c_d @ SV885 @ SV475 )
        | ( member_c @ ( SV171 @ SV885 ) @ ( SV714 @ SV885 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2271]) ).

thf(2592,plain,
    ! [SV715: c,SV476: set_c,SV172: set_c] :
      ( ( ( ~ ( ord_less_eq_set_c @ SV172 @ SV476 ) )
        = $true )
      | ( ( ~ ( member_c @ SV715 @ SV172 )
          | ( member_c @ SV715 @ SV476 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2272]) ).

thf(2593,plain,
    ! [SV173: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV173 @ t ) )
        = $true )
      | ( ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ SV173 ) ) @ ( denota968303861_a_b_c @ i @ phi ) )
        = $true )
      | ( ( ord_less_eq_real @ zero_zero_real @ SV173 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2273]) ).

thf(2594,plain,
    ! [SV716: sum_sum_c_c > sum_sum_c_d,SV477: set_Sum_sum_c_c,SV174: sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ SV174 @ SV477 ) )
        = $true )
      | ( ( member_Sum_sum_c_d @ ( SV716 @ SV174 ) @ ( image_675141842um_c_d @ SV716 @ SV477 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2274]) ).

thf(2595,plain,
    ! [SV717: set_Sum_sum_c_c,SV478: sum_sum_c_c > sum_sum_c_c,SV175: set_Sum_sum_c_c] :
      ( ( ( ~ ! [SY2458: sum_sum_c_c] :
                ( ~ ( member_Sum_sum_c_c @ SY2458 @ SV175 )
                | ( member_Sum_sum_c_c @ ( SV478 @ SY2458 ) @ SV717 ) ) )
        = $true )
      | ( ( member1326674048um_c_c @ SV478
          @ ( pi_Sum253006871um_c_c @ SV175
            @ ^ [SY2459: sum_sum_c_c] : SV717 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2275]) ).

thf(2596,plain,
    ! [SV479: set_Sum_sum_c_d,SV176: sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ SV176 @ ( uminus373867045um_c_d @ SV479 ) )
        = $false )
      | ( ( ~ ( member_Sum_sum_c_d @ SV176 @ SV479 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2276]) ).

thf(2597,plain,
    ! [SV718: real > set_Fi1407883041real_c,SV480: real > finite1398487019real_c,SV177: set_real] :
      ( ( ( ~ ! [SY2460: real] :
                ( ~ ( member_real @ SY2460 @ SV177 )
                | ( member1261661570real_c @ ( SV480 @ SY2460 ) @ ( SV718 @ SY2460 ) ) ) )
        = $true )
      | ( ( member1321351885real_c @ SV480 @ ( pi_rea1111636068real_c @ SV177 @ SV718 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2277]) ).

thf(2598,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c] :
      ( ( ( denota1997846518gree_c @ SV481 @ SV886 )
        = ( ^ [SY2632: set_Sum_sum_c_c] :
              ~ ( ~ ! [SY2633: c] :
                      ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2633 ) @ SY2632 )
                      | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2633 )
                        = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2633 ) ) )
                | ~ ! [SY2634: c] :
                      ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2634 ) @ SY2632 )
                      | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2634 )
                        = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2634 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2278]) ).

thf(2599,plain,
    ! [SV482: set_Sum_sum_c_c,SV179: sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ SV179 @ ( uminus1381786404um_c_c @ SV482 ) )
        = $false )
      | ( ( ~ ( member_Sum_sum_c_c @ SV179 @ SV482 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2280]) ).

thf(2600,plain,
    ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) ) )
      = $true )
    | ( ( ~ ( ~ ( ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
                | ( ( finite772340578real_c
                    @ ( produc2010422875real_c
                      @ ( denota161327353_a_b_c @ i @ oDEa
                        @ ( produc394644079real_c
                          @ ( finite557796307c_real
                            @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                          @ bb )
                        @ ( finite557796307c_real
                          @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
                    @ i2 )
                  = ( finite772340578real_c @ ( sol @ x ) @ i2 ) ) )
            | ~ ( ~ ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
                | ( ( finite772340578real_c
                    @ ( produc2010422875real_c
                      @ ( denota161327353_a_b_c @ i @ oDEa
                        @ ( produc394644079real_c
                          @ ( finite557796307c_real
                            @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                          @ bb )
                        @ ( finite557796307c_real
                          @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
                    @ i2 )
                  = ( finite772340578real_c @ ab @ i2 ) ) ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2281]) ).

thf(2601,plain,
    ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) ) )
      = $true )
    | ( ( ~ ( ~ ( ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
                | ( ( finite772340578real_c
                    @ ( produc2010422875real_c
                      @ ( denota161327353_a_b_c @ i @ oDEa
                        @ ( produc394644079real_c
                          @ ( finite557796307c_real
                            @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                          @ bb )
                        @ ( finite557796307c_real
                          @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
                    @ i2 )
                  = ( finite772340578real_c @ ( sol @ x ) @ i2 ) ) )
            | ~ ( ~ ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
                | ( ( finite772340578real_c
                    @ ( produc2010422875real_c
                      @ ( denota161327353_a_b_c @ i @ oDEa
                        @ ( produc394644079real_c
                          @ ( finite557796307c_real
                            @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                          @ bb )
                        @ ( finite557796307c_real
                          @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
                    @ i2 )
                  = ( finite772340578real_c @ ab @ i2 ) ) ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2282]) ).

thf(2602,plain,
    ! [SV720: c > set_c,SV483: c > c,SV180: set_c] :
      ( ( ( ~ ! [SY2464: c] :
                ( ~ ( member_c @ SY2464 @ SV180 )
                | ( member_c @ ( SV483 @ SY2464 ) @ ( SV720 @ SY2464 ) ) ) )
        = $true )
      | ( ( member_c_c @ SV483 @ ( pi_c_c @ SV180 @ SV720 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2283]) ).

thf(2603,plain,
    ! [SV721: set_c,SV484: c > sum_sum_c_c,SV181: set_Sum_sum_c_c] :
      ( ( ( ~ ( ord_le1772180283um_c_c @ SV181 @ ( image_c_Sum_sum_c_c @ SV484 @ SV721 ) ) )
        = $true )
      | ( ( ~ ! [SY2465: set_c] :
                ( ~ ( ord_less_eq_set_c @ SY2465 @ SV721 )
                | ( SV181
                 != ( image_c_Sum_sum_c_c @ SV484 @ SY2465 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2284]) ).

thf(2604,plain,
    ! [SV722: set_Sum_sum_c_c,SV485: sum_sum_c_d > sum_sum_c_c,SV182: set_Sum_sum_c_d] :
      ( ( ( ~ ! [SY2466: sum_sum_c_d] :
                ( ~ ( member_Sum_sum_c_d @ SY2466 @ SV182 )
                | ( member_Sum_sum_c_c @ ( SV485 @ SY2466 ) @ SV722 ) ) )
        = $true )
      | ( ( member71251457um_c_c @ SV485
          @ ( pi_Sum1145067928um_c_c @ SV182
            @ ^ [SY2467: sum_sum_c_d] : SV722 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2285]) ).

thf(2605,plain,
    ! [SV723: real > finite1398487019real_c,SV486: set_re2066790124real_c,SV183: set_re2066790124real_c] :
      ( ( ( ~ ( ord_le35002188real_c @ SV183 @ SV486 ) )
        = $true )
      | ( ( ~ ( member1321351885real_c @ SV723 @ SV183 )
          | ( member1321351885real_c @ SV723 @ SV486 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2286]) ).

thf(2606,plain,
    ! [SV887: finite1398487019real_c,SV724: finite1398487019real_c,SV487: finite1398487019real_c,SV184: finite1398487019real_c] :
      ( ( ( ( produc394644079real_c @ SV184 @ SV487 )
          = ( produc394644079real_c @ SV724 @ SV887 ) )
        = ( ~ ( ( SV184 != SV724 )
              | ( SV487 != SV887 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2287]) ).

thf(2607,plain,
    ! [SV725: finite1398487019real_c,SV488: finite1398487019real_c,SV185: finite1398487019real_c] :
      ( ( ( ( produc314122909real_c @ ( produc394644079real_c @ SV185 @ SV488 ) )
         != SV725 )
        = $true )
      | ( ( SV488 = SV725 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2288]) ).

thf(2608,plain,
    ! [SV726: sum_sum_c_c > set_Sum_sum_c_d,SV489: sum_sum_c_c > sum_sum_c_d,SV186: set_Sum_sum_c_c] :
      ( ( ( ~ ! [SY2469: sum_sum_c_c] :
                ( ~ ( member_Sum_sum_c_c @ SY2469 @ SV186 )
                | ( member_Sum_sum_c_d @ ( SV489 @ SY2469 ) @ ( SV726 @ SY2469 ) ) ) )
        = $true )
      | ( ( member318754689um_c_d @ SV489 @ ( pi_Sum261268376um_c_d @ SV186 @ SV726 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2289]) ).

thf(2609,plain,
    ! [SV490: real,SV187: real] :
      ( ( ( ord_less_eq_real @ SV187 @ SV490 )
        = $false )
      | ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV490 ) @ ( uminus_uminus_real @ SV187 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2290]) ).

thf(2610,plain,
    ! [SV888: finite1398487019real_c,SV727: produc190496183real_c,SV491: oDE_a_c,SV188: denota231621370t_unit] :
      ( ( ~ ( ~ ( denota1997846518gree_c @ ( denota161327353_a_b_c @ SV188 @ SV491 @ SV727 @ SV888 ) @ SV727 @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ SV188 @ SV491 ) ) )
            | ~ ( denota1997846518gree_c @ ( denota161327353_a_b_c @ SV188 @ SV491 @ SV727 @ SV888 ) @ ( denota1896987029_a_b_c @ SV188 @ SV491 @ SV888 ) @ ( denota1293057250_a_b_c @ SV188 @ SV491 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2291]) ).

thf(2611,plain,
    ! [SV728: oDE_a_c,SV492: denota231621370t_unit,SV189: c] :
      ( ( ( ~ ( member_c @ SV189 @ ( denota540094197_a_b_c @ SV492 @ SV728 ) ) )
        = $true )
      | ( ( member_c @ SV189 @ ( static_FVO_a_c @ SV728 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2292]) ).

thf(2612,plain,
    ! [SV493: set_re2066790124real_c,SV190: real > finite1398487019real_c] :
      ( ( ( ~ ( member1321351885real_c @ SV190 @ SV493 ) )
        = $false )
      | ( ( member1321351885real_c @ SV190 @ ( uminus946614837real_c @ SV493 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2293]) ).

thf(2613,plain,
    ! [SV889: set_Sum_sum_c_c,SV494: set_Sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ SV494 @ SV889 )
        = ( ! [SY2635: sum_sum_c_c] :
              ( ~ ( member_Sum_sum_c_c @ SY2635 @ SV494 )
              | ( member_Sum_sum_c_c @ SY2635 @ SV889 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2294]) ).

thf(2614,plain,
    ! [SV890: sum_sum_c_c > c,SV730: c,SV496: set_Sum_sum_c_c,SV193: sum_sum_c_c] :
      ( ( ~ ( member_Sum_sum_c_c @ SV193 @ SV496 )
        | ( SV730
         != ( SV890 @ SV193 ) )
        | ( member_c @ SV730 @ ( image_Sum_sum_c_c_c @ SV890 @ SV496 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2297]) ).

thf(2615,plain,
    ! [SV731: set_c,SV497: sum_sum_c_c > c,SV194: set_Sum_sum_c_c] :
      ( ( ( ~ ! [SY2473: sum_sum_c_c] :
                ( ~ ( member_Sum_sum_c_c @ SY2473 @ SV194 )
                | ( member_c @ ( SV497 @ SY2473 ) @ SV731 ) ) )
        = $true )
      | ( ( ord_less_eq_set_c @ ( image_Sum_sum_c_c_c @ SV497 @ SV194 ) @ SV731 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2298]) ).

thf(2616,plain,
    ! [SV891: finite1398487019real_c,SV732: finite1398487019real_c,SV498: finite1398487019real_c,SV195: finite1398487019real_c] :
      ( ( ~ ( ord_le775706699real_c @ SV195 @ SV498 )
        | ~ ( ord_le775706699real_c @ SV732 @ SV891 )
        | ( ord_le850691415real_c @ ( produc394644079real_c @ SV195 @ SV732 ) @ ( produc394644079real_c @ SV498 @ SV891 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2299]) ).

thf(2617,plain,
    ! [SV733: set_Sum_sum_c_d,SV499: sum_sum_c_d > sum_sum_c_c,SV196: sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ SV196 @ ( image_1558941394um_c_c @ SV499 @ SV733 ) ) )
        = $true )
      | ( ( ~ ! [SY2475: sum_sum_c_d] :
                ( ( SV196
                 != ( SV499 @ SY2475 ) )
                | ~ ( member_Sum_sum_c_d @ SY2475 @ SV733 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2300]) ).

thf(2618,plain,
    ! [SV734: c > set_re2066790124real_c,SV500: c > real > finite1398487019real_c,SV197: set_c] :
      ( ( ( ~ ! [SY2476: c] :
                ( ~ ( member_c @ SY2476 @ SV197 )
                | ( member1321351885real_c @ ( SV500 @ SY2476 ) @ ( SV734 @ SY2476 ) ) ) )
        = $true )
      | ( ( member469531344real_c @ SV500 @ ( pi_c_r41638571real_c @ SV197 @ SV734 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2301]) ).

thf(2619,plain,
    ! [SV892: set_Sum_sum_c_c,SV501: set_Sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ SV501 @ SV892 )
        = ( ! [SY2636: sum_sum_c_c] :
              ( ~ ( member_Sum_sum_c_c @ SY2636 @ SV501 )
              | ( member_Sum_sum_c_c @ SY2636 @ SV892 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2302]) ).

thf(2620,plain,
    ! [SV502: set_c,SV199: set_c] :
      ( ( ( ! [SY2117: c] :
              ( ~ ( member_c @ SY2117 @ SV199 )
              | ( member_c @ SY2117 @ SV502 ) ) )
        = $false )
      | ( ( ord_less_eq_set_c @ SV199 @ SV502 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2304]) ).

thf(2621,plain,
    ! [SV893: sum_sum_c_d,SV736: sum_sum_c_d > set_c,SV503: set_Sum_sum_c_d,SV200: sum_sum_c_d > c] :
      ( ( ~ ( member_Sum_sum_c_d_c @ SV200 @ ( pi_Sum_sum_c_d_c @ SV503 @ SV736 ) )
        | ~ ~ ( member_c @ ( SV200 @ SV893 ) @ ( SV736 @ SV893 ) )
        | ~ ( member_Sum_sum_c_d @ SV893 @ SV503 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2305]) ).

thf(2622,plain,
    ! [SV504: set_Sum_sum_c_c,SV201: set_Sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ SV201 @ ( uminus1381786404um_c_c @ SV504 ) )
        = $false )
      | ( ( ord_le1772180283um_c_c @ SV504 @ ( uminus1381786404um_c_c @ SV201 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2306]) ).

thf(2623,plain,
    ! [SV505: set_Pr1389752855real_c,SV202: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV202 @ ( uminus232257166real_c @ SV505 ) )
        = $false )
      | ( ( ~ ( member1895684704real_c @ SV202 @ SV505 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2307]) ).

thf(2624,plain,
    ! [SV894: real,SV737: real > set_Fi1407883041real_c,SV506: set_real,SV203: real > finite1398487019real_c] :
      ( ( ~ ( member1321351885real_c @ SV203 @ ( pi_rea1111636068real_c @ SV506 @ SV737 ) )
        | ~ ( member_real @ SV894 @ SV506 )
        | ( member1261661570real_c @ ( SV203 @ SV894 ) @ ( SV737 @ SV894 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2308]) ).

thf(2625,plain,
    ! [SV895: produc190496183real_c,SV738: produc190496183real_c,SV507: set_Sum_sum_c_c,SV204: set_Sum_sum_c_c] :
      ( ( ~ ( ord_le1772180283um_c_c @ SV204 @ SV507 )
        | ~ ( denota1997846518gree_c @ SV738 @ SV895 @ SV507 )
        | ( denota1997846518gree_c @ SV738 @ SV895 @ SV204 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2309]) ).

thf(2626,plain,
    ! [SV896: c,SV739: c > set_re2066790124real_c,SV508: set_c,SV205: c > real > finite1398487019real_c] :
      ( ( ~ ( member469531344real_c @ SV205 @ ( pi_c_r41638571real_c @ SV508 @ SV739 ) )
        | ~ ( member_c @ SV896 @ SV508 )
        | ( member1321351885real_c @ ( SV205 @ SV896 ) @ ( SV739 @ SV896 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2310]) ).

thf(2627,plain,
    ! [SV897: c > sum_sum_c_c,SV740: sum_sum_c_c,SV509: set_c,SV206: c] :
      ( ( ~ ( member_c @ SV206 @ SV509 )
        | ( SV740
         != ( SV897 @ SV206 ) )
        | ( member_Sum_sum_c_c @ SV740 @ ( image_c_Sum_sum_c_c @ SV897 @ SV509 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2311]) ).

thf(2628,plain,
    ! [SV510: finite1398487019real_c > $o,SV207: finite1398487019real_c > $o] :
      ( ( ( ! [SY2128: finite1398487019real_c] :
              ( ~ ( SV207 @ SY2128 )
              | ( SV510 @ SY2128 ) ) )
        = $false )
      | ( ( ord_le1327118209real_c @ ( collec230941376real_c @ SV207 ) @ ( collec230941376real_c @ SV510 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2312]) ).

thf(2629,plain,
    ! [SV898: set_Sum_sum_c_d,SV741: sum_sum_c_d,SV511: sum_sum_c_d > sum_sum_c_d,SV208: sum_sum_c_d] :
      ( ( ( SV208
         != ( SV511 @ SV741 ) )
        | ~ ( member_Sum_sum_c_d @ SV741 @ SV898 )
        | ( member_Sum_sum_c_d @ SV208 @ ( image_1567202899um_c_d @ SV511 @ SV898 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2313]) ).

thf(2630,plain,
    ! [SV742: set_c,SV512: sum_sum_c_c > c,SV209: set_Sum_sum_c_c] :
      ( ( ( ~ ! [SY2484: sum_sum_c_c] :
                ( ~ ( member_Sum_sum_c_c @ SY2484 @ SV209 )
                | ( member_c @ ( SV512 @ SY2484 ) @ SV742 ) ) )
        = $true )
      | ( ( member_Sum_sum_c_c_c @ SV512
          @ ( pi_Sum_sum_c_c_c @ SV209
            @ ^ [SY2485: sum_sum_c_c] : SV742 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2314]) ).

thf(2631,plain,
    ! [SV899: set_c,SV514: set_c] :
      ( ( ( ord_less_eq_set_c @ SV514 @ SV899 )
        = ( ! [SY2637: c] :
              ( ~ ( member_c @ SY2637 @ SV514 )
              | ( member_c @ SY2637 @ SV899 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2316]) ).

thf(2632,plain,
    ! [SV745: real > finite1398487019real_c,SV515: real > finite1398487019real_c,SV212: real > finite1398487019real_c] :
      ( ( ~ ( ( member1321351885real_c @ SV212 @ ( set_or1308937537real_c @ SV515 @ SV745 ) )
            | ~ ( ~ ( ord_le584953750real_c @ SV515 @ SV212 )
                | ~ ( ord_le584953750real_c @ SV212 @ SV745 ) ) )
        | ~ ( ~ ( member1321351885real_c @ SV212 @ ( set_or1308937537real_c @ SV515 @ SV745 ) )
            | ~ ~ ( ~ ( ord_le584953750real_c @ SV515 @ SV212 )
                  | ~ ( ord_le584953750real_c @ SV212 @ SV745 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2318]) ).

thf(2633,plain,
    ! [SV745: real > finite1398487019real_c,SV515: real > finite1398487019real_c,SV212: real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ SV212 @ ( set_or1308937537real_c @ SV515 @ SV745 ) )
        = ( ~ ( ~ ( ord_le584953750real_c @ SV515 @ SV212 )
              | ~ ( ord_le584953750real_c @ SV212 @ SV745 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2318]) ).

thf(2634,plain,
    ! [SV746: sum_sum_c_d > $o,SV516: set_c,SV213: c > sum_sum_c_d] :
      ( ( ( ~ ! [SY2489: sum_sum_c_d] :
                ( ~ ( member_Sum_sum_c_d @ SY2489 @ ( image_c_Sum_sum_c_d @ SV213 @ SV516 ) )
                | ( SV746 @ SY2489 ) ) )
        = $true )
      | ( ( ! [SY2490: c] :
              ( ~ ( member_c @ SY2490 @ SV516 )
              | ( SV746 @ ( SV213 @ SY2490 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2319]) ).

thf(2635,plain,
    ! [SV747: set_c,SV517: c > sum_sum_c_c,SV214: sum_sum_c_c] :
      ( ( ~ ( ( member_Sum_sum_c_c @ SV214 @ ( image_c_Sum_sum_c_c @ SV517 @ SV747 ) )
            | ~ ! [SY2491: c] :
                  ~ ~ ( ~ ( member_c @ SY2491 @ SV747 )
                      | ( SV214
                       != ( SV517 @ SY2491 ) ) ) )
        | ~ ( ~ ( member_Sum_sum_c_c @ SV214 @ ( image_c_Sum_sum_c_c @ SV517 @ SV747 ) )
            | ~ ~ ! [SY2491: c] :
                    ~ ~ ( ~ ( member_c @ SY2491 @ SV747 )
                        | ( SV214
                         != ( SV517 @ SY2491 ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2320]) ).

thf(2636,plain,
    ! [SV747: set_c,SV517: c > sum_sum_c_c,SV214: sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ SV214 @ ( image_c_Sum_sum_c_c @ SV517 @ SV747 ) )
        = ( ~ ! [SY2491: c] :
                ~ ~ ( ~ ( member_c @ SY2491 @ SV747 )
                    | ( SV214
                     != ( SV517 @ SY2491 ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2320]) ).

thf(2637,plain,
    ! [SV900: c,SV748: c > set_c,SV518: set_c,SV215: c > c] :
      ( ( ~ ( member_c_c @ SV215 @ ( pi_c_c @ SV518 @ SV748 ) )
        | ~ ( member_c @ SV900 @ SV518 )
        | ( member_c @ ( SV215 @ SV900 ) @ ( SV748 @ SV900 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2321]) ).

thf(2638,plain,
    ( ( ( ~ ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) ) )
      = $true )
    | ( ( ~ ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) ) )
      = $true )
    | ( ( ~ ( ~ ( ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
                | ( ( finite772340578real_c
                    @ ( produc2010422875real_c
                      @ ( denota161327353_a_b_c @ i @ oDEa
                        @ ( produc394644079real_c
                          @ ( finite557796307c_real
                            @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                          @ bb )
                        @ ( finite557796307c_real
                          @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
                    @ i2 )
                  = ( finite772340578real_c @ ( sol @ zero_zero_real ) @ i2 ) ) )
            | ~ ( ~ ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
                | ( ( finite772340578real_c
                    @ ( produc2010422875real_c
                      @ ( denota161327353_a_b_c @ i @ oDEa
                        @ ( produc394644079real_c
                          @ ( finite557796307c_real
                            @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                          @ bb )
                        @ ( finite557796307c_real
                          @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
                    @ i2 )
                  = ( finite772340578real_c @ ab @ i2 ) ) ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2322]) ).

thf(2639,plain,
    ! [SV749: sum_sum_c_c > set_Sum_sum_c_c,SV519: sum_sum_c_c > sum_sum_c_c,SV216: set_Sum_sum_c_c] :
      ( ( ( ~ ! [SY2493: sum_sum_c_c] :
                ( ~ ( member_Sum_sum_c_c @ SY2493 @ SV216 )
                | ( member_Sum_sum_c_c @ ( SV519 @ SY2493 ) @ ( SV749 @ SY2493 ) ) ) )
        = $true )
      | ( ( member1326674048um_c_c @ SV519 @ ( pi_Sum253006871um_c_c @ SV216 @ SV749 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2323]) ).

thf(2640,plain,
    ! [SV750: c > c,SV520: set_c,SV217: c] :
      ( ( ( ~ ( member_c @ SV217 @ SV520 ) )
        = $true )
      | ( ( member_c @ ( SV750 @ SV217 ) @ ( image_c_c @ SV750 @ SV520 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2324]) ).

thf(2641,plain,
    ! [SV751: real > set_Fi1407883041real_c,SV521: real > finite1398487019real_c,SV218: set_real] :
      ( ( ( ~ ! [SY2494: real] :
                ( ~ ( member_real @ SY2494 @ SV218 )
                | ( member1261661570real_c @ ( SV521 @ SY2494 ) @ ( SV751 @ SY2494 ) ) ) )
        = $true )
      | ( ( member1321351885real_c @ SV521 @ ( pi_rea1111636068real_c @ SV218 @ SV751 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2325]) ).

thf(2642,plain,
    ! [SV901: set_Sum_sum_c_d,SV752: sum_sum_c_d,SV522: sum_sum_c_d > sum_sum_c_c,SV219: sum_sum_c_c] :
      ( ( ( SV219
         != ( SV522 @ SV752 ) )
        | ~ ( member_Sum_sum_c_d @ SV752 @ SV901 )
        | ( member_Sum_sum_c_c @ SV219 @ ( image_1558941394um_c_c @ SV522 @ SV901 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2326]) ).

thf(2643,plain,
    ! [SV902: sum_sum_c_c > sum_sum_c_c,SV753: sum_sum_c_c,SV523: set_Sum_sum_c_c,SV220: sum_sum_c_c] :
      ( ( ~ ( member_Sum_sum_c_c @ SV220 @ SV523 )
        | ( SV753
         != ( SV902 @ SV220 ) )
        | ( member_Sum_sum_c_c @ SV753 @ ( image_666880337um_c_c @ SV902 @ SV523 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2327]) ).

thf(2644,plain,
    ! [SV903: c > sum_sum_c_c,SV754: c > sum_sum_c_c,SV524: set_c,SV221: set_c] :
      ( ( ( SV221 != SV524 )
        | ~ ! [SY2638: c] :
              ( ~ ( member_c @ SY2638 @ SV524 )
              | ( ( SV754 @ SY2638 )
                = ( SV903 @ SY2638 ) ) )
        | ( ( image_c_Sum_sum_c_c @ SV754 @ SV221 )
          = ( image_c_Sum_sum_c_c @ SV903 @ SV524 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2328]) ).

thf(2645,plain,
    ! [SV904: finite1398487019real_c,SV755: finite1398487019real_c,SV525: set_c,SV222: set_c] :
      ( ( ~ ( ord_less_eq_set_c @ SV222 @ SV525 )
        | ~ ( denota256060419gree_c @ SV755 @ SV904 @ SV525 )
        | ( denota256060419gree_c @ SV755 @ SV904 @ SV222 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2329]) ).

thf(2646,plain,
    ! [SV756: set_c,SV526: c > sum_sum_c_c,SV223: sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ SV223 @ ( image_c_Sum_sum_c_c @ SV526 @ SV756 ) ) )
        = $true )
      | ( ( ~ ! [SY2500: c] :
                ( ( SV223
                 != ( SV526 @ SY2500 ) )
                | ~ ( member_c @ SY2500 @ SV756 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2330]) ).

thf(2647,plain,
    ! [SV757: c > sum_sum_c_c,SV527: set_c,SV224: c] :
      ( ( ( ~ ( member_c @ SV224 @ SV527 ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( SV757 @ SV224 ) @ ( image_c_Sum_sum_c_c @ SV757 @ SV527 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2331]) ).

thf(2648,plain,
    ! [SV905: sum_sum_c_c,SV758: sum_sum_c_c > set_Sum_sum_c_c,SV528: set_Sum_sum_c_c,SV225: sum_sum_c_c > sum_sum_c_c] :
      ( ( ~ ( member1326674048um_c_c @ SV225 @ ( pi_Sum253006871um_c_c @ SV528 @ SV758 ) )
        | ~ ( member_Sum_sum_c_c @ SV905 @ SV528 )
        | ( member_Sum_sum_c_c @ ( SV225 @ SV905 ) @ ( SV758 @ SV905 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2332]) ).

thf(2649,plain,
    ! [SV759: sum_sum_c_c,SV529: set_Sum_sum_c_c,SV226: set_Sum_sum_c_c] :
      ( ( ( ~ ( ord_le1772180283um_c_c @ SV226 @ SV529 ) )
        = $true )
      | ( ( ~ ( member_Sum_sum_c_c @ SV759 @ SV226 )
          | ( member_Sum_sum_c_c @ SV759 @ SV529 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2333]) ).

thf(2650,plain,
    ! [SV906: real,SV760: real,SV530: real,SV227: real] :
      ( ( ( ord_le1342644953l_real @ ( produc705216881l_real @ SV227 @ SV530 ) @ ( produc705216881l_real @ SV760 @ SV906 ) )
        = ( ~ ( ~ ( ord_less_eq_real @ SV227 @ SV760 )
              | ~ ( ord_less_eq_real @ SV530 @ SV906 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2334]) ).

thf(2651,plain,
    ! [SV531: set_c,SV228: c] :
      ( ( ( ~ ( member_c @ SV228 @ SV531 ) )
        = $false )
      | ( ( member_c @ SV228 @ ( uminus_uminus_set_c @ SV531 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2335]) ).

thf(2652,plain,
    ! [SV907: real,SV761: real,SV532: real,SV229: real] :
      ( ( ~ ( ord_less_eq_real @ SV229 @ SV532 )
        | ~ ( ord_less_eq_real @ SV761 @ SV907 )
        | ( ord_le1342644953l_real @ ( produc705216881l_real @ SV229 @ SV761 ) @ ( produc705216881l_real @ SV532 @ SV907 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2336]) ).

thf(2653,plain,
    ! [SV762: set_c,SV533: c > sum_sum_c_d,SV230: set_Sum_sum_c_d] :
      ( ( ( ~ ( ord_le764260924um_c_d @ SV230 @ ( image_c_Sum_sum_c_d @ SV533 @ SV762 ) ) )
        = $true )
      | ( ( ~ ! [SY2504: set_c] :
                ( ~ ( ord_less_eq_set_c @ SY2504 @ SV762 )
                | ( SV230
                 != ( image_c_Sum_sum_c_d @ SV533 @ SY2504 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2337]) ).

thf(2654,plain,
    ! [SV908: set_Sum_sum_c_d,SV534: set_Sum_sum_c_d] :
      ( ( ( ord_le764260924um_c_d @ SV534 @ SV908 )
        = ( ! [SY2639: sum_sum_c_d] :
              ( ~ ( member_Sum_sum_c_d @ SY2639 @ SV534 )
              | ( member_Sum_sum_c_d @ SY2639 @ SV908 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2338]) ).

thf(2655,plain,
    ! [SV909: set_c,SV536: set_c] :
      ( ( ( ord_less_eq_set_c @ SV536 @ SV909 )
        = ( ! [SY2640: c] :
              ( ~ ( member_c @ SY2640 @ SV536 )
              | ( member_c @ SY2640 @ SV909 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2341]) ).

thf(2656,plain,
    ! [SV766: set_re2066790124real_c,SV537: ( real > finite1398487019real_c ) > c,SV234: c] :
      ( ( ( ~ ( member_c @ SV234 @ ( image_266490115al_c_c @ SV537 @ SV766 ) ) )
        = $true )
      | ( ( ~ ! [SY2509: real > finite1398487019real_c] :
                ( ( SV234
                 != ( SV537 @ SY2509 ) )
                | ~ ( member1321351885real_c @ SY2509 @ SV766 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2343]) ).

thf(2657,plain,
    ! [SV767: sum_sum_c_c > $o,SV538: set_c,SV235: c > sum_sum_c_c] :
      ( ( ( ~ ~ ! [SY2510: sum_sum_c_c] :
                  ~ ~ ( ~ ( member_Sum_sum_c_c @ SY2510 @ ( image_c_Sum_sum_c_c @ SV235 @ SV538 ) )
                      | ~ ( SV767 @ SY2510 ) ) )
        = $true )
      | ( ( ~ ! [SY2511: c] :
                ~ ~ ( ~ ( member_c @ SY2511 @ SV538 )
                    | ~ ( SV767 @ ( SV235 @ SY2511 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2344]) ).

thf(2658,plain,
    ! [SV768: c > set_Sum_sum_c_d,SV540: c > sum_sum_c_d,SV237: set_c] :
      ( ( ( ~ ! [SY2512: c] :
                ( ~ ( member_c @ SY2512 @ SV237 )
                | ( member_Sum_sum_c_d @ ( SV540 @ SY2512 ) @ ( SV768 @ SY2512 ) ) ) )
        = $true )
      | ( ( member_c_Sum_sum_c_d @ SV540 @ ( pi_c_Sum_sum_c_d @ SV237 @ SV768 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2345]) ).

thf(2659,plain,
    ! [SV910: set_Sum_sum_c_c,SV769: sum_sum_c_c,SV541: sum_sum_c_c > c,SV238: c] :
      ( ( ( SV238
         != ( SV541 @ SV769 ) )
        | ~ ( member_Sum_sum_c_c @ SV769 @ SV910 )
        | ( member_c @ SV238 @ ( image_Sum_sum_c_c_c @ SV541 @ SV910 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2346]) ).

thf(2660,plain,
    ! [SV911: set_c,SV770: c,SV542: c > real > finite1398487019real_c,SV239: real > finite1398487019real_c] :
      ( ( ( SV239
         != ( SV542 @ SV770 ) )
        | ~ ( member_c @ SV770 @ SV911 )
        | ( member1321351885real_c @ SV239 @ ( image_1226855921real_c @ SV542 @ SV911 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2347]) ).

thf(2661,plain,
    ! [SV912: sum_sum_c_d,SV771: sum_sum_c_d > set_Sum_sum_c_c,SV543: set_Sum_sum_c_d,SV240: sum_sum_c_d > sum_sum_c_c] :
      ( ( ~ ( member71251457um_c_c @ SV240 @ ( pi_Sum1145067928um_c_c @ SV543 @ SV771 ) )
        | ~ ( member_Sum_sum_c_d @ SV912 @ SV543 )
        | ( member_Sum_sum_c_c @ ( SV240 @ SV912 ) @ ( SV771 @ SV912 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2348]) ).

thf(2662,plain,
    ! [SV772: set_Sum_sum_c_d,SV544: c > sum_sum_c_d,SV241: set_c] :
      ( ( ( ~ ! [SY2516: c] :
                ( ~ ( member_c @ SY2516 @ SV241 )
                | ( member_Sum_sum_c_d @ ( SV544 @ SY2516 ) @ SV772 ) ) )
        = $true )
      | ( ( member_c_Sum_sum_c_d @ SV544
          @ ( pi_c_Sum_sum_c_d @ SV241
            @ ^ [SY2517: c] : SV772 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2349]) ).

thf(2663,plain,
    ! [SV913: sum_sum_c_d > c,SV773: c,SV545: set_Sum_sum_c_d,SV242: sum_sum_c_d] :
      ( ( ~ ( member_Sum_sum_c_d @ SV242 @ SV545 )
        | ( SV773
         != ( SV913 @ SV242 ) )
        | ( member_c @ SV773 @ ( image_Sum_sum_c_d_c @ SV913 @ SV545 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2350]) ).

thf(2664,plain,
    ! [SV774: set_Sum_sum_c_d,SV546: sum_sum_c_c > sum_sum_c_d,SV243: set_Sum_sum_c_c] :
      ( ( ( ~ ! [SY2519: sum_sum_c_c] :
                ( ~ ( member_Sum_sum_c_c @ SY2519 @ SV243 )
                | ( member_Sum_sum_c_d @ ( SV546 @ SY2519 ) @ SV774 ) ) )
        = $true )
      | ( ( member318754689um_c_d @ SV546
          @ ( pi_Sum261268376um_c_d @ SV243
            @ ^ [SY2520: sum_sum_c_c] : SV774 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2351]) ).

thf(2665,plain,
    ! [SV775: sum_sum_c_c,SV547: set_Sum_sum_c_c,SV244: set_Sum_sum_c_c] :
      ( ( ( ~ ( ord_le1772180283um_c_c @ SV244 @ SV547 ) )
        = $true )
      | ( ( ~ ( member_Sum_sum_c_c @ SV775 @ SV244 )
          | ( member_Sum_sum_c_c @ SV775 @ SV547 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2352]) ).

thf(2666,plain,
    ! [SV914: produc190496183real_c,SV548: produc190496183real_c] :
      ( ( ( ord_le850691415real_c @ SV548 @ SV914 )
        = ( ~ ( ~ ( ord_le775706699real_c @ ( produc2010422875real_c @ SV548 ) @ ( produc2010422875real_c @ SV914 ) )
              | ~ ( ord_le775706699real_c @ ( produc314122909real_c @ SV548 ) @ ( produc314122909real_c @ SV914 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2353]) ).

thf(2667,plain,
    ! [SV549: produc190496183real_c,SV246: produc190496183real_c] :
      ( ( ( ord_le850691415real_c @ SV246 @ SV549 )
        = $false )
      | ( ( ord_le775706699real_c @ ( produc314122909real_c @ SV246 ) @ ( produc314122909real_c @ SV549 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2355]) ).

thf(2668,plain,
    ! [SV915: sum_sum_c_c,SV777: sum_sum_c_c > set_Sum_sum_c_d,SV550: set_Sum_sum_c_c,SV247: sum_sum_c_c > sum_sum_c_d] :
      ( ( ~ ( member318754689um_c_d @ SV247 @ ( pi_Sum261268376um_c_d @ SV550 @ SV777 ) )
        | ~ ( member_Sum_sum_c_c @ SV915 @ SV550 )
        | ( member_Sum_sum_c_d @ ( SV247 @ SV915 ) @ ( SV777 @ SV915 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2356]) ).

thf(2669,plain,
    ! [SV916: real > finite1398487019real_c,SV778: set_Pr1389752855real_c,SV551: set_re2066790124real_c,SV248: ( real > finite1398487019real_c ) > produc190496183real_c] :
      ( ( ~ ( member954762593real_c @ SV248
            @ ( pi_rea1379668980real_c @ SV551
              @ ^ [SY2523: real > finite1398487019real_c] : SV778 ) )
        | ~ ( member1321351885real_c @ SV916 @ SV551 )
        | ( member1895684704real_c @ ( SV248 @ SV916 ) @ SV778 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2357]) ).

thf(2670,plain,
    ! [SV779: set_re2066790124real_c,SV552: c > real > finite1398487019real_c,SV249: set_c] :
      ( ( ( ~ ! [SY2524: c] :
                ( ~ ( member_c @ SY2524 @ SV249 )
                | ( member1321351885real_c @ ( SV552 @ SY2524 ) @ SV779 ) ) )
        = $true )
      | ( ( ord_le35002188real_c @ ( image_1226855921real_c @ SV552 @ SV249 ) @ SV779 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2358]) ).

thf(2671,plain,
    ! [SV553: c > $o,SV250: c > $o] :
      ( ( ( ~ ( ( ord_less_eq_set_c @ ( collect_c @ SV250 ) @ ( collect_c @ SV553 ) )
              | ! [SY2211: c] :
                  ( ~ ( SV250 @ SY2211 )
                  | ( SV553 @ SY2211 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ord_less_eq_set_c @ ( collect_c @ SV250 ) @ ( collect_c @ SV553 ) )
              | ~ ! [SY2211: c] :
                    ( ~ ( SV250 @ SY2211 )
                    | ( SV553 @ SY2211 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2359]) ).

thf(2672,plain,
    ! [SV554: set_re2066790124real_c,SV251: set_re2066790124real_c] :
      ( ( ( ! [SY2212: real > finite1398487019real_c] :
              ( ~ ( member1321351885real_c @ SY2212 @ SV251 )
              | ( member1321351885real_c @ SY2212 @ SV554 ) ) )
        = $false )
      | ( ( ord_le35002188real_c @ SV251 @ SV554 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2361]) ).

thf(2673,plain,
    ! [SV555: set_Sum_sum_c_d,SV252: sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_d @ SV252 @ SV555 ) )
        = $false )
      | ( ( member_Sum_sum_c_d @ SV252 @ ( uminus373867045um_c_d @ SV555 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2362]) ).

thf(2674,plain,
    ( ( ( fsafe_a_b_c @ phi )
      = $false )
    | ( ( ( ode != oDEa )
        | ( p != phi )
        | ~ ( ord_less_eq_real @ zero_zero_real @ t )
        | ( ( produc394644079real_c @ aa @ ba )
         != ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
        | ~ ( initia1631504802real_c @ sol
            @ ^ [SX0: real] : ( denota1275485728_a_b_c @ i @ oDEa )
            @ ( set_or656347191t_real @ zero_zero_real @ t )
            @ ( collec230941376real_c
              @ ^ [SX0: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ SX0 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) )
        | ~ ( denota256060419gree_c @ ( sol @ zero_zero_real ) @ ab
            @ ( collect_c
              @ ^ [SX0: c] :
                  ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_BVO_a_c @ oDEa ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( static_FVO_a_c @ oDEa ) ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_FVF_a_b_c @ phi ) ) ) ) )
        | ( ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) )
          = ( denota161327353_a_b_c @ i @ oDEa
            @ ( produc394644079real_c
              @ ( finite557796307c_real
                @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
              @ bb )
            @ ( finite557796307c_real
              @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ t ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) ) )
      = $true )
    | ( ( osafe_a_c @ oDEa )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2363]) ).

thf(2675,plain,
    ( ( ( ~ ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) ) )
      = $true )
    | ( ( ~ ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) ) )
      = $true )
    | ( ( ( finite772340578real_c @ ( produc2010422875real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) ) @ i2 )
        = ( finite772340578real_c @ ab @ i2 ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2364]) ).

thf(2676,plain,
    ! [SV556: c > $o,SV253: c > $o] :
      ( ( ( ! [SY2213: c] :
              ( ( SV253 @ SY2213 )
              = ( SV556 @ SY2213 ) ) )
        = $false )
      | ( ( ( collect_c @ SV253 )
          = ( collect_c @ SV556 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2365]) ).

thf(2677,plain,
    ! [SV780: sum_sum_c_d > set_c,SV557: sum_sum_c_d > c,SV254: set_Sum_sum_c_d] :
      ( ( ( ~ ! [SY2525: sum_sum_c_d] :
                ( ~ ( member_Sum_sum_c_d @ SY2525 @ SV254 )
                | ( member_c @ ( SV557 @ SY2525 ) @ ( SV780 @ SY2525 ) ) ) )
        = $true )
      | ( ( member_Sum_sum_c_d_c @ SV557 @ ( pi_Sum_sum_c_d_c @ SV254 @ SV780 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2366]) ).

thf(2678,plain,
    ! [SV781: set_Sum_sum_c_c,SV558: sum_sum_c_c > sum_sum_c_c,SV255: set_Sum_sum_c_c] :
      ( ( ( ~ ! [SY2526: sum_sum_c_c] :
                ( ~ ( member_Sum_sum_c_c @ SY2526 @ SV255 )
                | ( member_Sum_sum_c_c @ ( SV558 @ SY2526 ) @ SV781 ) ) )
        = $true )
      | ( ( ord_le1772180283um_c_c @ ( image_666880337um_c_c @ SV558 @ SV255 ) @ SV781 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2367]) ).

thf(2679,plain,
    ! [SV917: c > c,SV782: c,SV559: set_c,SV256: c] :
      ( ( ~ ( member_c @ SV256 @ SV559 )
        | ( SV782
         != ( SV917 @ SV256 ) )
        | ( member_c @ SV782 @ ( image_c_c @ SV917 @ SV559 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2368]) ).

thf(2680,plain,
    ! [SV918: set_Sum_sum_c_d,SV784: sum_sum_c_d,SV561: sum_sum_c_d > c,SV258: c] :
      ( ( ( SV258
         != ( SV561 @ SV784 ) )
        | ~ ( member_Sum_sum_c_d @ SV784 @ SV918 )
        | ( member_c @ SV258 @ ( image_Sum_sum_c_d_c @ SV561 @ SV918 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2370]) ).

thf(2681,plain,
    ! [SV785: sum_sum_c_d > c,SV562: set_Sum_sum_c_d,SV259: sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_d @ SV259 @ SV562 ) )
        = $true )
      | ( ( member_c @ ( SV785 @ SV259 ) @ ( image_Sum_sum_c_d_c @ SV785 @ SV562 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2371]) ).

thf(2682,plain,
    ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) ) )
      = $true )
    | ( ( ( finite772340578real_c @ ( produc2010422875real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) ) @ i2 )
        = ( finite772340578real_c @ ( sol @ x ) @ i2 ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2372]) ).

thf(2683,plain,
    ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) ) )
      = $true )
    | ( ( ( finite772340578real_c @ ( produc2010422875real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) ) @ i2 )
        = ( finite772340578real_c @ ( sol @ x ) @ i2 ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2373]) ).

thf(2684,plain,
    ( ( ( fsafe_a_b_c @ phi )
      = $false )
    | ( ( ( ode != oDEa )
        | ( p != phi )
        | ~ ( ord_less_eq_real @ zero_zero_real @ t )
        | ( ( produc394644079real_c @ aa @ ba )
         != ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
        | ~ ( initia1631504802real_c @ sol
            @ ^ [SX0: real] : ( denota1275485728_a_b_c @ i @ oDEa )
            @ ( set_or656347191t_real @ zero_zero_real @ t )
            @ ( collec230941376real_c
              @ ^ [SX0: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ SX0 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) )
        | ~ ( denota256060419gree_c @ ( sol @ zero_zero_real ) @ ab
            @ ( collect_c
              @ ^ [SX0: c] :
                  ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_BVO_a_c @ oDEa ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( static_FVO_a_c @ oDEa ) ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_FVF_a_b_c @ phi ) ) ) ) )
        | ( ord_less_eq_real @ zero_zero_real @ t ) )
      = $true )
    | ( ( osafe_a_c @ oDEa )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2374]) ).

thf(2685,plain,
    ! [SV919: sum_sum_c_c > sum_sum_c_d,SV786: sum_sum_c_d,SV563: set_Sum_sum_c_c,SV260: sum_sum_c_c] :
      ( ( ~ ( member_Sum_sum_c_c @ SV260 @ SV563 )
        | ( SV786
         != ( SV919 @ SV260 ) )
        | ( member_Sum_sum_c_d @ SV786 @ ( image_675141842um_c_d @ SV919 @ SV563 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2375]) ).

thf(2686,plain,
    ! [SV787: set_c,SV564: sum_sum_c_d > c,SV261: set_Sum_sum_c_d] :
      ( ( ( ~ ! [SY2532: sum_sum_c_d] :
                ( ~ ( member_Sum_sum_c_d @ SY2532 @ SV261 )
                | ( member_c @ ( SV564 @ SY2532 ) @ SV787 ) ) )
        = $true )
      | ( ( member_Sum_sum_c_d_c @ SV564
          @ ( pi_Sum_sum_c_d_c @ SV261
            @ ^ [SY2533: sum_sum_c_d] : SV787 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2376]) ).

thf(2687,plain,
    ! [SV920: c,SV788: finite1398487019real_c,SV565: finite1398487019real_c,SV262: $o] :
      ( ( ~ ( ~ ( ~ SV262
                | ( ( finite772340578real_c @ ( if_Fin36944805real_c @ SV262 @ SV565 @ SV788 ) @ SV920 )
                  = ( finite772340578real_c @ SV565 @ SV920 ) ) )
            | ~ ( ~ ~ SV262
                | ( ( finite772340578real_c @ ( if_Fin36944805real_c @ SV262 @ SV565 @ SV788 ) @ SV920 )
                  = ( finite772340578real_c @ SV788 @ SV920 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2377]) ).

thf(2688,plain,
    ! [SV921: c,SV789: finite1398487019real_c,SV566: finite1398487019real_c] :
      ( ( ~ ( ~ ( ~ $true
                | ( ( finite772340578real_c @ ( if_Fin36944805real_c @ $true @ SV566 @ SV789 ) @ SV921 )
                  = ( finite772340578real_c @ SV566 @ SV921 ) ) )
            | ~ ( ~ ~ $true
                | ( ( finite772340578real_c @ ( if_Fin36944805real_c @ $true @ SV566 @ SV789 ) @ SV921 )
                  = ( finite772340578real_c @ SV789 @ SV921 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2378]) ).

thf(2689,plain,
    ! [SV922: c,SV790: finite1398487019real_c,SV567: finite1398487019real_c] :
      ( ( ~ ( ~ ( ~ $false
                | ( ( finite772340578real_c @ ( if_Fin36944805real_c @ $false @ SV567 @ SV790 ) @ SV922 )
                  = ( finite772340578real_c @ SV567 @ SV922 ) ) )
            | ~ ( ~ ~ $false
                | ( ( finite772340578real_c @ ( if_Fin36944805real_c @ $false @ SV567 @ SV790 ) @ SV922 )
                  = ( finite772340578real_c @ SV790 @ SV922 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2379]) ).

thf(2690,plain,
    ! [SV568: set_Sum_sum_c_c,SV263: set_Sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SV263 ) @ SV568 )
        = $false )
      | ( ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SV568 ) @ SV263 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2380]) ).

thf(2691,plain,
    ! [SV791: set_Fi1407883041real_c,SV569: real > finite1398487019real_c,SV264: set_real] :
      ( ( ( ~ ! [SY2537: real] :
                ( ~ ( member_real @ SY2537 @ SV264 )
                | ( member1261661570real_c @ ( SV569 @ SY2537 ) @ SV791 ) ) )
        = $true )
      | ( ( member1321351885real_c @ SV569
          @ ( pi_rea1111636068real_c @ SV264
            @ ^ [SY2538: real] : SV791 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2381]) ).

thf(2692,plain,
    ! [SV923: produc190496183real_c,SV792: produc190496183real_c,SV570: set_Sum_sum_c_c,SV265: set_Sum_sum_c_c] :
      ( ( ~ ( ord_le1772180283um_c_c @ SV265 @ SV570 )
        | ~ ( denota1997846518gree_c @ SV792 @ SV923 @ SV570 )
        | ( denota1997846518gree_c @ SV792 @ SV923 @ SV265 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2382]) ).

thf(2693,plain,
    ! [SV924: produc190496183real_c,SV793: real,SV571: c,SV266: produc190496183real_c] :
      ( ( ( ( denotational_repd_c @ SV266 @ SV571 @ SV793 )
         != SV924 )
        | ( SV924
          = ( produc394644079real_c @ ( produc2010422875real_c @ SV266 )
            @ ( finite557796307c_real
              @ ^ [SY2541: c] : ( if_real @ ( SV571 = SY2541 ) @ SV793 @ ( finite772340578real_c @ ( produc314122909real_c @ SV266 ) @ SY2541 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2383]) ).

thf(2694,plain,
    ! [SV794: c > set_Sum_sum_c_c,SV572: c > sum_sum_c_c,SV267: set_c] :
      ( ( ( ~ ! [SY2542: c] :
                ( ~ ( member_c @ SY2542 @ SV267 )
                | ( member_Sum_sum_c_c @ ( SV572 @ SY2542 ) @ ( SV794 @ SY2542 ) ) ) )
        = $true )
      | ( ( member_c_Sum_sum_c_c @ SV572 @ ( pi_c_Sum_sum_c_c @ SV267 @ SV794 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2384]) ).

thf(2695,plain,
    ! [SV795: set_Sum_sum_c_c,SV573: c > sum_sum_c_c,SV268: set_c] :
      ( ( ( ~ ! [SY2543: c] :
                ( ~ ( member_c @ SY2543 @ SV268 )
                | ( member_Sum_sum_c_c @ ( SV573 @ SY2543 ) @ SV795 ) ) )
        = $true )
      | ( ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV573 @ SV268 ) @ SV795 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2385]) ).

thf(2696,plain,
    ! [SV796: sum_sum_c_d,SV574: set_Sum_sum_c_d,SV269: set_Sum_sum_c_d] :
      ( ( ( ~ ( ord_le764260924um_c_d @ SV269 @ SV574 ) )
        = $true )
      | ( ( ~ ( member_Sum_sum_c_d @ SV796 @ SV269 )
          | ( member_Sum_sum_c_d @ SV796 @ SV574 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2386]) ).

thf(2697,plain,
    ! [SV575: c > $o,SV270: c > $o] :
      ( ( ( ! [SY2250: c] :
              ( ~ ( SV270 @ SY2250 )
              | ( SV575 @ SY2250 ) ) )
        = $false )
      | ( ( ord_less_eq_set_c @ ( collect_c @ SV270 ) @ ( collect_c @ SV575 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2387]) ).

thf(2698,plain,
    ! [SV925: real,SV797: real,SV576: real,SV271: real] :
      ( ( ( ord_less_eq_set_real @ ( set_or656347191t_real @ SV271 @ SV576 ) @ ( set_or656347191t_real @ SV797 @ SV925 ) )
        = ( ~ ( ord_less_eq_real @ SV271 @ SV576 )
          | ~ ( ~ ( ord_less_eq_real @ SV797 @ SV271 )
              | ~ ( ord_less_eq_real @ SV576 @ SV925 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2388]) ).

thf(2699,plain,
    ! [SV926: set_re2066790124real_c,SV577: set_re2066790124real_c] :
      ( ( ( ord_le35002188real_c @ SV577 @ SV926 )
        = ( ! [SY2643: real > finite1398487019real_c] :
              ( ~ ( member1321351885real_c @ SY2643 @ SV577 )
              | ( member1321351885real_c @ SY2643 @ SV926 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2389]) ).

thf(2700,plain,
    ! [SV927: set_Pr1389752855real_c,SV578: set_Pr1389752855real_c] :
      ( ( ( ord_le977353143real_c @ SV578 @ SV927 )
        = ( ! [SY2644: produc190496183real_c] :
              ( ~ ( member1895684704real_c @ SY2644 @ SV578 )
              | ( member1895684704real_c @ SY2644 @ SV927 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2391]) ).

thf(2701,plain,
    ! [SV800: sum_sum_c_c > sum_sum_c_c,SV579: set_Sum_sum_c_c,SV274: sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ SV274 @ SV579 ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( SV800 @ SV274 ) @ ( image_666880337um_c_c @ SV800 @ SV579 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2393]) ).

thf(2702,plain,
    ! [SV801: c > set_re2066790124real_c,SV580: c > real > finite1398487019real_c,SV275: set_c] :
      ( ( ( ~ ! [SY2547: c] :
                ( ~ ( member_c @ SY2547 @ SV275 )
                | ( member1321351885real_c @ ( SV580 @ SY2547 ) @ ( SV801 @ SY2547 ) ) ) )
        = $true )
      | ( ( member469531344real_c @ SV580 @ ( pi_c_r41638571real_c @ SV275 @ SV801 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2394]) ).

thf(2703,plain,
    ! [SV928: c,SV802: c > set_Sum_sum_c_c,SV581: set_c,SV276: c > sum_sum_c_c] :
      ( ( ~ ( member_c_Sum_sum_c_c @ SV276 @ ( pi_c_Sum_sum_c_c @ SV581 @ SV802 ) )
        | ~ ~ ( member_Sum_sum_c_c @ ( SV276 @ SV928 ) @ ( SV802 @ SV928 ) )
        | ~ ( member_c @ SV928 @ SV581 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2395]) ).

thf(2704,plain,
    ! [SV277: c] :
      ( ( ~ ( ~ ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SV277 ) @ ( static_BVO_a_c @ oDEa ) )
                | ( ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SV277 )
                  = ( finite772340578real_c @ ab @ SV277 ) ) )
            | ~ ( ~ ( member_Sum_sum_c_d @ ( sum_Inl_c_d @ SV277 ) @ ( image_c_Sum_sum_c_d @ sum_Inl_c_d @ ( static_FVO_a_c @ oDEa ) ) )
                | ( ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SV277 )
                  = ( finite772340578real_c @ ab @ SV277 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2396]) ).

thf(2705,plain,
    ! [SV277: c] :
      ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SV277 ) @ ( static_FVF_a_b_c @ phi ) )
        | ( ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SV277 )
          = ( finite772340578real_c @ ab @ SV277 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2397]) ).

thf(2706,plain,
    ! [SV929: sum_sum_c_c,SV803: sum_sum_c_c > set_Sum_sum_c_c,SV582: set_Sum_sum_c_c,SV278: sum_sum_c_c > sum_sum_c_c] :
      ( ( ~ ( member1326674048um_c_c @ SV278 @ ( pi_Sum253006871um_c_c @ SV582 @ SV803 ) )
        | ~ ~ ( member_Sum_sum_c_c @ ( SV278 @ SV929 ) @ ( SV803 @ SV929 ) )
        | ~ ( member_Sum_sum_c_c @ SV929 @ SV582 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2398]) ).

thf(2707,plain,
    ! [SV804: sum_sum_c_c > set_Sum_sum_c_c,SV583: sum_sum_c_c > sum_sum_c_c,SV279: set_Sum_sum_c_c] :
      ( ( ( ~ ! [SY2550: sum_sum_c_c] :
                ( ~ ( member_Sum_sum_c_c @ SY2550 @ SV279 )
                | ( member_Sum_sum_c_c @ ( SV583 @ SY2550 ) @ ( SV804 @ SY2550 ) ) ) )
        = $true )
      | ( ( member1326674048um_c_c @ SV583 @ ( pi_Sum253006871um_c_c @ SV279 @ SV804 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2399]) ).

thf(2708,plain,
    ! [SV930: sum_sum_c_c,SV805: sum_sum_c_c > set_c,SV584: set_Sum_sum_c_c,SV280: sum_sum_c_c > c] :
      ( ( ~ ( member_Sum_sum_c_c_c @ SV280 @ ( pi_Sum_sum_c_c_c @ SV584 @ SV805 ) )
        | ~ ~ ( member_c @ ( SV280 @ SV930 ) @ ( SV805 @ SV930 ) )
        | ~ ( member_Sum_sum_c_c @ SV930 @ SV584 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2400]) ).

thf(2709,plain,
    ! [SV806: set_Sum_sum_c_c,SV585: sum_sum_c_c > sum_sum_c_d,SV281: sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_d @ SV281 @ ( image_675141842um_c_d @ SV585 @ SV806 ) ) )
        = $true )
      | ( ( ~ ! [SY2552: sum_sum_c_c] :
                ( ( SV281
                 != ( SV585 @ SY2552 ) )
                | ~ ( member_Sum_sum_c_c @ SY2552 @ SV806 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2401]) ).

thf(2710,plain,
    ! [SV807: c > set_Sum_sum_c_c,SV586: c > sum_sum_c_c,SV282: set_c] :
      ( ( ( ~ ! [SY2553: c] :
                ( ~ ( member_c @ SY2553 @ SV282 )
                | ( member_Sum_sum_c_c @ ( SV586 @ SY2553 ) @ ( SV807 @ SY2553 ) ) ) )
        = $true )
      | ( ( member_c_Sum_sum_c_c @ SV586 @ ( pi_c_Sum_sum_c_c @ SV282 @ SV807 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2402]) ).

thf(2711,plain,
    ! [SV931: finite1398487019real_c,SV808: finite1398487019real_c,SV587: set_c,SV283: set_c] :
      ( ( ~ ( ord_less_eq_set_c @ SV283 @ SV587 )
        | ~ ( denota256060419gree_c @ SV808 @ SV931 @ SV587 )
        | ( denota256060419gree_c @ SV808 @ SV931 @ SV283 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2403]) ).

thf(2712,plain,
    ! [SV932: real > finite1398487019real_c,SV809: set_Sum_sum_c_d,SV588: set_re2066790124real_c,SV284: ( real > finite1398487019real_c ) > sum_sum_c_d] :
      ( ( ~ ( member1494186770um_c_d @ SV284
            @ ( pi_rea1508591913um_c_d @ SV588
              @ ^ [SY2556: real > finite1398487019real_c] : SV809 ) )
        | ~ ( member1321351885real_c @ SV932 @ SV588 )
        | ( member_Sum_sum_c_d @ ( SV284 @ SV932 ) @ SV809 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2404]) ).

thf(2713,plain,
    ! [SV933: c > sum_sum_c_d,SV810: sum_sum_c_d,SV589: set_c,SV285: c] :
      ( ( ~ ( member_c @ SV285 @ SV589 )
        | ( SV810
         != ( SV933 @ SV285 ) )
        | ( member_Sum_sum_c_d @ SV810 @ ( image_c_Sum_sum_c_d @ SV933 @ SV589 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2405]) ).

thf(2714,plain,
    ! [SV811: c > set_c,SV590: c > c,SV286: set_c] :
      ( ( ( ~ ! [SY2558: c] :
                ( ~ ( member_c @ SY2558 @ SV286 )
                | ( member_c @ ( SV590 @ SY2558 ) @ ( SV811 @ SY2558 ) ) ) )
        = $true )
      | ( ( member_c_c @ SV590 @ ( pi_c_c @ SV286 @ SV811 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2406]) ).

thf(2715,plain,
    ! [SV934: c > real > finite1398487019real_c,SV812: real > finite1398487019real_c,SV591: set_c,SV287: c] :
      ( ( ~ ( member_c @ SV287 @ SV591 )
        | ( SV812
         != ( SV934 @ SV287 ) )
        | ( member1321351885real_c @ SV812 @ ( image_1226855921real_c @ SV934 @ SV591 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2407]) ).

thf(2716,plain,
    ! [SV935: produc190496183real_c,SV813: finite1398487019real_c,SV592: oDE_a_c,SV288: denota231621370t_unit] :
      ( ( ( ( denota1896987029_a_b_c @ SV288 @ SV592 @ SV813 )
         != SV935 )
        | ( SV935
          = ( produc394644079real_c @ SV813 @ ( denota1275485728_a_b_c @ SV288 @ SV592 @ SV813 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2408]) ).

thf(2717,plain,
    ! [SV936: set_Sum_sum_c_c,SV814: sum_sum_c_c,SV593: sum_sum_c_c > sum_sum_c_c,SV289: sum_sum_c_c] :
      ( ( ( SV289
         != ( SV593 @ SV814 ) )
        | ~ ( member_Sum_sum_c_c @ SV814 @ SV936 )
        | ( member_Sum_sum_c_c @ SV289 @ ( image_666880337um_c_c @ SV593 @ SV936 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2409]) ).

thf(2718,plain,
    ( ( ( ~ ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) ) )
      = $true )
    | ( ( ~ ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) ) )
      = $true )
    | ( ( ( finite772340578real_c @ ( produc314122909real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) ) @ i2 )
        = ( finite772340578real_c @ bb @ i2 ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2410]) ).

thf(2719,plain,
    ! [SV815: c > sum_sum_c_d,SV594: set_c,SV290: set_c] :
      ( ( ( ~ ( ord_less_eq_set_c @ SV290 @ SV594 ) )
        = $true )
      | ( ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV815 @ SV290 ) @ ( image_c_Sum_sum_c_d @ SV815 @ SV594 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2411]) ).

thf(2720,plain,
    ! [SV595: set_c,SV291: c] :
      ( ( ( member_c @ SV291 @ ( uminus_uminus_set_c @ SV595 ) )
        = $false )
      | ( ( ~ ( member_c @ SV291 @ SV595 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2412]) ).

thf(2721,plain,
    ! [SV816: sum_sum_c_c > c,SV596: set_Sum_sum_c_c,SV292: sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ SV292 @ SV596 ) )
        = $true )
      | ( ( member_c @ ( SV816 @ SV292 ) @ ( image_Sum_sum_c_c_c @ SV816 @ SV596 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2413]) ).

thf(2722,plain,
    ! [SV817: sum_sum_c_d > set_Sum_sum_c_c,SV597: sum_sum_c_d > sum_sum_c_c,SV293: set_Sum_sum_c_d] :
      ( ( ( ~ ! [SY2562: sum_sum_c_d] :
                ( ~ ( member_Sum_sum_c_d @ SY2562 @ SV293 )
                | ( member_Sum_sum_c_c @ ( SV597 @ SY2562 ) @ ( SV817 @ SY2562 ) ) ) )
        = $true )
      | ( ( member71251457um_c_c @ SV597 @ ( pi_Sum1145067928um_c_c @ SV293 @ SV817 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2414]) ).

thf(2723,plain,
    ! [SV598: set_Sum_sum_c_c,SV294: sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ SV294 @ SV598 ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ SV294 @ ( uminus1381786404um_c_c @ SV598 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2415]) ).

thf(2724,plain,
    ! [SV819: set_Sum_sum_c_c,SV601: sum_sum_c_c > sum_sum_c_c,SV297: sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ SV297 @ ( image_666880337um_c_c @ SV601 @ SV819 ) ) )
        = $true )
      | ( ( ~ ! [SY2565: sum_sum_c_c] :
                ( ( SV297
                 != ( SV601 @ SY2565 ) )
                | ~ ( member_Sum_sum_c_c @ SY2565 @ SV819 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2417]) ).

thf(2725,plain,
    ! [SV820: set_Sum_sum_c_d,SV602: sum_sum_c_d > c,SV298: c] :
      ( ( ( ~ ( member_c @ SV298 @ ( image_Sum_sum_c_d_c @ SV602 @ SV820 ) ) )
        = $true )
      | ( ( ~ ! [SY2566: sum_sum_c_d] :
                ( ( SV298
                 != ( SV602 @ SY2566 ) )
                | ~ ( member_Sum_sum_c_d @ SY2566 @ SV820 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2418]) ).

thf(2726,plain,
    ! [SV821: sum_sum_c_d > set_Sum_sum_c_c,SV603: sum_sum_c_d > sum_sum_c_c,SV299: set_Sum_sum_c_d] :
      ( ( ( ~ ! [SY2567: sum_sum_c_d] :
                ( ~ ( member_Sum_sum_c_d @ SY2567 @ SV299 )
                | ( member_Sum_sum_c_c @ ( SV603 @ SY2567 ) @ ( SV821 @ SY2567 ) ) ) )
        = $true )
      | ( ( member71251457um_c_c @ SV603 @ ( pi_Sum1145067928um_c_c @ SV299 @ SV821 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2419]) ).

thf(2727,plain,
    ! [SV822: c > set_Sum_sum_c_d,SV604: c > sum_sum_c_d,SV300: set_c] :
      ( ( ( ~ ! [SY2568: c] :
                ( ~ ( member_c @ SY2568 @ SV300 )
                | ( member_Sum_sum_c_d @ ( SV604 @ SY2568 ) @ ( SV822 @ SY2568 ) ) ) )
        = $true )
      | ( ( member_c_Sum_sum_c_d @ SV604 @ ( pi_c_Sum_sum_c_d @ SV300 @ SV822 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2420]) ).

thf(2728,plain,
    ! [SV823: set_Sum_sum_c_d,SV605: sum_sum_c_d > sum_sum_c_d,SV301: sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_d @ SV301 @ ( image_1567202899um_c_d @ SV605 @ SV823 ) ) )
        = $true )
      | ( ( ~ ! [SY2569: sum_sum_c_d] :
                ( ( SV301
                 != ( SV605 @ SY2569 ) )
                | ~ ( member_Sum_sum_c_d @ SY2569 @ SV823 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2421]) ).

thf(2729,plain,
    ! [SV937: produc957004601l_real,SV606: produc957004601l_real] :
      ( ( ( ord_le1342644953l_real @ SV606 @ SV937 )
        = ( ~ ( ~ ( ord_less_eq_real @ ( produc1422991709l_real @ SV606 ) @ ( produc1422991709l_real @ SV937 ) )
              | ~ ( ord_less_eq_real @ ( produc1407670175l_real @ SV606 ) @ ( produc1407670175l_real @ SV937 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2422]) ).

thf(2730,plain,
    ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) ) )
      = $true )
    | ( ( ( finite772340578real_c
          @ ( produc314122909real_c
            @ ( denota161327353_a_b_c @ i @ oDEa
              @ ( produc394644079real_c
                @ ( finite557796307c_real
                  @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                @ bb )
              @ ( finite557796307c_real
                @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
          @ i2 )
        = ( finite772340578real_c
          @ ( denota1275485728_a_b_c @ i @ oDEa
            @ ( finite557796307c_real
              @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) )
          @ i2 ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2424]) ).

thf(2731,plain,
    ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) ) )
      = $true )
    | ( ( ( finite772340578real_c
          @ ( produc314122909real_c
            @ ( denota161327353_a_b_c @ i @ oDEa
              @ ( produc394644079real_c
                @ ( finite557796307c_real
                  @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                @ bb )
              @ ( finite557796307c_real
                @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
          @ i2 )
        = ( finite772340578real_c
          @ ( denota1275485728_a_b_c @ i @ oDEa
            @ ( finite557796307c_real
              @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) )
          @ i2 ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2425]) ).

thf(2732,plain,
    ! [SV825: sum_sum_c_c > set_c,SV607: sum_sum_c_c > c,SV303: set_Sum_sum_c_c] :
      ( ( ( ~ ! [SY2570: sum_sum_c_c] :
                ( ~ ( member_Sum_sum_c_c @ SY2570 @ SV303 )
                | ( member_c @ ( SV607 @ SY2570 ) @ ( SV825 @ SY2570 ) ) ) )
        = $true )
      | ( ( member_Sum_sum_c_c_c @ SV607 @ ( pi_Sum_sum_c_c_c @ SV303 @ SV825 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2426]) ).

thf(2733,plain,
    ! [SV608: produc190496183real_c,SV304: produc190496183real_c] :
      ( ( ( denota1997846518gree_c @ SV304 @ SV608 @ ( static_FVF_a_b_c @ p ) )
        = $false )
      | ( ( ( member1895684704real_c @ SV304 @ ( denota968303861_a_b_c @ i @ p ) )
          = ( member1895684704real_c @ SV608 @ ( denota968303861_a_b_c @ i @ p ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2427]) ).

thf(2734,plain,
    ! [SV938: c > sum_sum_c_d,SV826: c > sum_sum_c_d,SV609: set_c,SV305: set_c] :
      ( ( ( SV305 != SV609 )
        | ~ ! [SY2646: c] :
              ( ~ ( member_c @ SY2646 @ SV609 )
              | ( ( SV826 @ SY2646 )
                = ( SV938 @ SY2646 ) ) )
        | ( ( image_c_Sum_sum_c_d @ SV826 @ SV305 )
          = ( image_c_Sum_sum_c_d @ SV938 @ SV609 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2428]) ).

thf(2735,plain,
    ! [SV827: sum_sum_c_c > set_c,SV610: sum_sum_c_c > c,SV306: set_Sum_sum_c_c] :
      ( ( ( ~ ! [SY2573: sum_sum_c_c] :
                ( ~ ( member_Sum_sum_c_c @ SY2573 @ SV306 )
                | ( member_c @ ( SV610 @ SY2573 ) @ ( SV827 @ SY2573 ) ) ) )
        = $true )
      | ( ( member_Sum_sum_c_c_c @ SV610 @ ( pi_Sum_sum_c_c_c @ SV306 @ SV827 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2429]) ).

thf(2736,plain,
    ! [SV611: set_Pr1389752855real_c,SV307: set_Pr1389752855real_c] :
      ( ( ( ! [SY2313: produc190496183real_c] :
              ( ~ ( member1895684704real_c @ SY2313 @ SV307 )
              | ( member1895684704real_c @ SY2313 @ SV611 ) ) )
        = $false )
      | ( ( ord_le977353143real_c @ SV307 @ SV611 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2430]) ).

thf(2737,plain,
    ! [SV613: produc190496183real_c,SV309: produc190496183real_c] :
      ( ( ( ord_le850691415real_c @ SV309 @ SV613 )
        = $false )
      | ( ( ord_le775706699real_c @ ( produc2010422875real_c @ SV309 ) @ ( produc2010422875real_c @ SV613 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2432]) ).

thf(2738,plain,
    ! [SV828: sum_sum_c_d > sum_sum_c_c,SV616: set_Sum_sum_c_d,SV312: sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_d @ SV312 @ SV616 ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( SV828 @ SV312 ) @ ( image_1558941394um_c_c @ SV828 @ SV616 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2433]) ).

thf(2739,plain,
    ! [SV939: sum_sum_c_d > sum_sum_c_d,SV829: sum_sum_c_d,SV617: set_Sum_sum_c_d,SV313: sum_sum_c_d] :
      ( ( ~ ( member_Sum_sum_c_d @ SV313 @ SV617 )
        | ( SV829
         != ( SV939 @ SV313 ) )
        | ( member_Sum_sum_c_d @ SV829 @ ( image_1567202899um_c_d @ SV939 @ SV617 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2434]) ).

thf(2740,plain,
    ! [SV940: c,SV830: c > set_c,SV618: set_c,SV314: c > c] :
      ( ( ~ ( member_c_c @ SV314 @ ( pi_c_c @ SV618 @ SV830 ) )
        | ~ ~ ( member_c @ ( SV314 @ SV940 ) @ ( SV830 @ SV940 ) )
        | ~ ( member_c @ SV940 @ SV618 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2435]) ).

thf(2741,plain,
    ! [SV941: finite1398487019real_c,SV831: finite1398487019real_c,SV619: finite1398487019real_c,SV315: finite1398487019real_c] :
      ( ( ( ord_le850691415real_c @ ( produc394644079real_c @ SV315 @ SV619 ) @ ( produc394644079real_c @ SV831 @ SV941 ) )
        = ( ~ ( ~ ( ord_le775706699real_c @ SV315 @ SV831 )
              | ~ ( ord_le775706699real_c @ SV619 @ SV941 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2436]) ).

thf(2742,plain,
    ! [SV832: real > set_Fi1407883041real_c,SV620: set_real,SV316: real > finite1398487019real_c] :
      ( ( ~ ( ( member1321351885real_c @ SV316 @ ( pi_rea1111636068real_c @ SV620 @ SV832 ) )
            | ! [SY2577: real] :
                ( ~ ( member_real @ SY2577 @ SV620 )
                | ( member1261661570real_c @ ( SV316 @ SY2577 ) @ ( SV832 @ SY2577 ) ) ) )
        | ~ ( ~ ( member1321351885real_c @ SV316 @ ( pi_rea1111636068real_c @ SV620 @ SV832 ) )
            | ~ ! [SY2577: real] :
                  ( ~ ( member_real @ SY2577 @ SV620 )
                  | ( member1261661570real_c @ ( SV316 @ SY2577 ) @ ( SV832 @ SY2577 ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2437]) ).

thf(2743,plain,
    ! [SV832: real > set_Fi1407883041real_c,SV620: set_real,SV316: real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ SV316 @ ( pi_rea1111636068real_c @ SV620 @ SV832 ) )
        = ( ! [SY2577: real] :
              ( ~ ( member_real @ SY2577 @ SV620 )
              | ( member1261661570real_c @ ( SV316 @ SY2577 ) @ ( SV832 @ SY2577 ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2437]) ).

thf(2744,plain,
    ! [SV833: sum_sum_c_d > sum_sum_c_d,SV621: set_Sum_sum_c_d,SV317: sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_d @ SV317 @ SV621 ) )
        = $true )
      | ( ( member_Sum_sum_c_d @ ( SV833 @ SV317 ) @ ( image_1567202899um_c_d @ SV833 @ SV621 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2438]) ).

thf(2745,plain,
    ! [SV834: produc190496183real_c,SV622: set_Pr1389752855real_c,SV318: set_Pr1389752855real_c] :
      ( ( ( ~ ( ord_le977353143real_c @ SV318 @ SV622 ) )
        = $true )
      | ( ( ~ ( member1895684704real_c @ SV834 @ SV318 )
          | ( member1895684704real_c @ SV834 @ SV622 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2439]) ).

thf(2746,plain,
    ! [SV942: real > finite1398487019real_c,SV835: ( real > finite1398487019real_c ) > set_c,SV623: set_re2066790124real_c,SV319: ( real > finite1398487019real_c ) > c] :
      ( ( ~ ( member527957930al_c_c @ SV319 @ ( pi_rea1228756413al_c_c @ SV623 @ SV835 ) )
        | ~ ~ ( member_c @ ( SV319 @ SV942 ) @ ( SV835 @ SV942 ) )
        | ~ ( member1321351885real_c @ SV942 @ SV623 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2440]) ).

thf(2747,plain,
    ! [SV624: set_Sum_sum_c_c,SV320: set_Sum_sum_c_c] :
      ( ( ( ! [SY2329: sum_sum_c_c] :
              ( ~ ( member_Sum_sum_c_c @ SY2329 @ SV320 )
              | ( member_Sum_sum_c_c @ SY2329 @ SV624 ) ) )
        = $false )
      | ( ( ord_le1772180283um_c_c @ SV320 @ SV624 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2441]) ).

thf(2748,plain,
    ! [SV836: c > real > finite1398487019real_c,SV625: set_c,SV321: c] :
      ( ( ( ~ ( member_c @ SV321 @ SV625 ) )
        = $true )
      | ( ( member1321351885real_c @ ( SV836 @ SV321 ) @ ( image_1226855921real_c @ SV836 @ SV625 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2442]) ).

thf(2749,plain,
    ! [SV943: set_c,SV837: c,SV626: c > c,SV322: c] :
      ( ( ( SV322
         != ( SV626 @ SV837 ) )
        | ~ ( member_c @ SV837 @ SV943 )
        | ( member_c @ SV322 @ ( image_c_c @ SV626 @ SV943 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2443]) ).

thf(2750,plain,
    ! [SV944: produc190496183real_c,SV627: produc190496183real_c] :
      ( ( ( SV627 = SV944 )
        = ( ~ ( ( ( produc2010422875real_c @ SV627 )
               != ( produc2010422875real_c @ SV944 ) )
              | ( ( produc314122909real_c @ SV627 )
               != ( produc314122909real_c @ SV944 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2444]) ).

thf(2751,plain,
    ! [SV945: set_Pr1389752855real_c,SV628: set_Pr1389752855real_c] :
      ( ( ( ord_le977353143real_c @ SV628 @ SV945 )
        = ( ! [SY2647: produc190496183real_c] :
              ( ~ ( member1895684704real_c @ SY2647 @ SV628 )
              | ( member1895684704real_c @ SY2647 @ SV945 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2446]) ).

thf(2752,plain,
    ! [SV840: finite1398487019real_c,SV629: finite1398487019real_c,SV325: finite1398487019real_c] :
      ( ( ( ( produc2010422875real_c @ ( produc394644079real_c @ SV325 @ SV629 ) )
         != SV840 )
        = $true )
      | ( ( SV325 = SV840 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2448]) ).

thf(2753,plain,
    ! [SV841: c > sum_sum_c_d,SV630: set_c,SV326: c] :
      ( ( ( ~ ( member_c @ SV326 @ SV630 ) )
        = $true )
      | ( ( member_Sum_sum_c_d @ ( SV841 @ SV326 ) @ ( image_c_Sum_sum_c_d @ SV841 @ SV630 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2449]) ).

thf(2754,plain,
    ! [SV842: set_c,SV631: c > sum_sum_c_c,SV327: set_Sum_sum_c_c] :
      ( ( ~ ( ( ord_le1772180283um_c_c @ SV327 @ ( image_c_Sum_sum_c_c @ SV631 @ SV842 ) )
            | ~ ! [SY2581: set_c] :
                  ~ ~ ( ~ ( ord_less_eq_set_c @ SY2581 @ SV842 )
                      | ( SV327
                       != ( image_c_Sum_sum_c_c @ SV631 @ SY2581 ) ) ) )
        | ~ ( ~ ( ord_le1772180283um_c_c @ SV327 @ ( image_c_Sum_sum_c_c @ SV631 @ SV842 ) )
            | ~ ~ ! [SY2581: set_c] :
                    ~ ~ ( ~ ( ord_less_eq_set_c @ SY2581 @ SV842 )
                        | ( SV327
                         != ( image_c_Sum_sum_c_c @ SV631 @ SY2581 ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2450]) ).

thf(2755,plain,
    ! [SV842: set_c,SV631: c > sum_sum_c_c,SV327: set_Sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ SV327 @ ( image_c_Sum_sum_c_c @ SV631 @ SV842 ) )
        = ( ~ ! [SY2581: set_c] :
                ~ ~ ( ~ ( ord_less_eq_set_c @ SY2581 @ SV842 )
                    | ( SV327
                     != ( image_c_Sum_sum_c_c @ SV631 @ SY2581 ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2450]) ).

thf(2756,plain,
    ! [SV844: sum_sum_c_d > $o,SV633: set_c,SV329: c > sum_sum_c_d] :
      ( ( ( ~ ~ ! [SY2584: sum_sum_c_d] :
                  ~ ~ ( ~ ( member_Sum_sum_c_d @ SY2584 @ ( image_c_Sum_sum_c_d @ SV329 @ SV633 ) )
                      | ~ ( SV844 @ SY2584 ) ) )
        = $true )
      | ( ( ~ ! [SY2585: c] :
                ~ ~ ( ~ ( member_c @ SY2585 @ SV633 )
                    | ~ ( SV844 @ ( SV329 @ SY2585 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2452]) ).

thf(2757,plain,
    ! [SV946: set_Sum_sum_c_c,SV845: sum_sum_c_c,SV634: sum_sum_c_c > sum_sum_c_d,SV330: sum_sum_c_d] :
      ( ( ( SV330
         != ( SV634 @ SV845 ) )
        | ~ ( member_Sum_sum_c_c @ SV845 @ SV946 )
        | ( member_Sum_sum_c_d @ SV330 @ ( image_675141842um_c_d @ SV634 @ SV946 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2453]) ).

thf(2758,plain,
    ! [SV947: real,SV846: real > finite1398487019real_c,SV635: denota231621370t_unit,SV331: oDE_a_c] :
      ( ( ! [SY2648: finite1398487019real_c] :
            ( ~ ( osafe_a_c @ SV331 )
            | ( ( denota1275485728_a_b_c @ SV635 @ SV331 @ ( SV846 @ SV947 ) )
              = ( denota1275485728_a_b_c @ SV635 @ SV331
                @ ( finite557796307c_real
                  @ ^ [SY2649: c] : ( if_real @ ( member_c @ SY2649 @ ( static_FVO_a_c @ SV331 ) ) @ ( finite772340578real_c @ ( SV846 @ SV947 ) @ SY2649 ) @ ( finite772340578real_c @ SY2648 @ SY2649 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2454]) ).

thf(2759,plain,
    ! [SV948: finite1398487019real_c,SV847: finite1398487019real_c,SV636: finite1398487019real_c,SV332: finite1398487019real_c] :
      ( ( ( ( produc394644079real_c @ SV332 @ SV636 )
         != ( produc394644079real_c @ SV847 @ SV948 ) )
        | ~ ( ( SV332 != SV847 )
            | ( SV636 != SV948 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2455]) ).

thf(2760,plain,
    ! [SV333: produc190496183real_c] :
      ( ( SV333
       != ( produc394644079real_c @ ( sK2_SY1870 @ SV333 ) @ ( sK3_SY2591 @ SV333 ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[2456]) ).

thf(2761,plain,
    ! [SV848: set_Sum_sum_c_c,SV637: c > sum_sum_c_c,SV334: set_c] :
      ( ( ( ~ ! [SY2592: c] :
                ( ~ ( member_c @ SY2592 @ SV334 )
                | ( member_Sum_sum_c_c @ ( SV637 @ SY2592 ) @ SV848 ) ) )
        = $true )
      | ( ( member_c_Sum_sum_c_c @ SV637
          @ ( pi_c_Sum_sum_c_c @ SV334
            @ ^ [SY2593: c] : SV848 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2457]) ).

thf(2762,plain,
    ( ( ( ~ ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) ) )
      = $true )
    | ( ( ~ ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) ) )
      = $true )
    | ( ( ( finite772340578real_c
          @ ( produc314122909real_c
            @ ( denota161327353_a_b_c @ i @ oDEa
              @ ( produc394644079real_c
                @ ( finite557796307c_real
                  @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                @ bb )
              @ ( finite557796307c_real
                @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
          @ i2 )
        = ( finite772340578real_c @ bb @ i2 ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2458]) ).

thf(2763,plain,
    ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( denota1293057250_a_b_c @ i @ oDEa ) )
        | ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( denota1293057250_a_b_c @ i @ oDEa ) ) )
      = $false )
    | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( denota1293057250_a_b_c @ i @ oDEa ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2460]) ).

thf(2764,plain,
    ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( denota1293057250_a_b_c @ i @ oDEa ) )
        | ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( denota1293057250_a_b_c @ i @ oDEa ) ) )
      = $false )
    | ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( denota1293057250_a_b_c @ i @ oDEa ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2461]) ).

thf(2765,plain,
    ! [SV850: finite1398487019real_c,SV337: finite1398487019real_c] :
      ( ( ~ ( ( ord_le775706699real_c @ SV337 @ SV850 )
            | ! [SY2596: c] : ( ord_less_eq_real @ ( finite772340578real_c @ SV337 @ SY2596 ) @ ( finite772340578real_c @ SV850 @ SY2596 ) ) )
        | ~ ( ~ ( ord_le775706699real_c @ SV337 @ SV850 )
            | ~ ! [SY2596: c] : ( ord_less_eq_real @ ( finite772340578real_c @ SV337 @ SY2596 ) @ ( finite772340578real_c @ SV850 @ SY2596 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2462]) ).

thf(2766,plain,
    ! [SV850: finite1398487019real_c,SV337: finite1398487019real_c] :
      ( ( ( ord_le775706699real_c @ SV337 @ SV850 )
        = ( ! [SY2596: c] : ( ord_less_eq_real @ ( finite772340578real_c @ SV337 @ SY2596 ) @ ( finite772340578real_c @ SV850 @ SY2596 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2462]) ).

thf(2767,plain,
    ! [SV338: finite1398487019real_c,SV7: finite1398487019real_c] :
      ( ( ( ( ( finite772340578real_c @ SV7 )
            = ( finite772340578real_c @ SV338 ) )
          | ( SV7 = SV338 ) )
        = $false )
      | ( ( ~ ( ( ( finite772340578real_c @ SV7 )
               != ( finite772340578real_c @ SV338 ) )
              | ( SV7 != SV338 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2463]) ).

thf(2768,plain,
    ! [SV851: finite1398487019real_c,SV339: finite1398487019real_c] :
      ( ( ~ ( ( SV339 = SV851 )
            | ! [SY2597: c] :
                ( ( finite772340578real_c @ SV339 @ SY2597 )
                = ( finite772340578real_c @ SV851 @ SY2597 ) ) )
        | ~ ( ( SV339 != SV851 )
            | ~ ! [SY2597: c] :
                  ( ( finite772340578real_c @ SV339 @ SY2597 )
                  = ( finite772340578real_c @ SV851 @ SY2597 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2464]) ).

thf(2769,plain,
    ! [SV851: finite1398487019real_c,SV339: finite1398487019real_c] :
      ( ( ( SV339 = SV851 )
        = ( ! [SY2597: c] :
              ( ( finite772340578real_c @ SV339 @ SY2597 )
              = ( finite772340578real_c @ SV851 @ SY2597 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2464]) ).

thf(2770,plain,
    ! [SV340: sum_sum_c_c > $o,SV9: sum_sum_c_c] :
      ( ( ( ( member_Sum_sum_c_c @ SV9 @ ( collect_Sum_sum_c_c @ SV340 ) )
          | ( SV340 @ SV9 ) )
        = $false )
      | ( ( ~ ( ~ ( member_Sum_sum_c_c @ SV9 @ ( collect_Sum_sum_c_c @ SV340 ) )
              | ~ ( SV340 @ SV9 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2465]) ).

thf(2771,plain,
    ! [SV341: sum_sum_c_d > $o,SV10: sum_sum_c_d] :
      ( ( ( ( member_Sum_sum_c_d @ SV10 @ ( collect_Sum_sum_c_d @ SV341 ) )
          | ( SV341 @ SV10 ) )
        = $false )
      | ( ( ~ ( ~ ( member_Sum_sum_c_d @ SV10 @ ( collect_Sum_sum_c_d @ SV341 ) )
              | ~ ( SV341 @ SV10 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2466]) ).

thf(2772,plain,
    ! [SV342: produc190496183real_c > $o,SV11: produc190496183real_c] :
      ( ( ( ( member1895684704real_c @ SV11 @ ( collec1643251106real_c @ SV342 ) )
          | ( SV342 @ SV11 ) )
        = $false )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV11 @ ( collec1643251106real_c @ SV342 ) )
              | ~ ( SV342 @ SV11 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2467]) ).

thf(2773,plain,
    ! [SV343: ( real > finite1398487019real_c ) > $o,SV12: real > finite1398487019real_c] :
      ( ( ( ( member1321351885real_c @ SV12 @ ( collec913357835real_c @ SV343 ) )
          | ( SV343 @ SV12 ) )
        = $false )
      | ( ( ~ ( ~ ( member1321351885real_c @ SV12 @ ( collec913357835real_c @ SV343 ) )
              | ~ ( SV343 @ SV12 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2468]) ).

thf(2774,plain,
    ! [SV344: finite1398487019real_c > $o,SV13: finite1398487019real_c] :
      ( ( ( ( member1261661570real_c @ SV13 @ ( collec230941376real_c @ SV344 ) )
          | ( SV344 @ SV13 ) )
        = $false )
      | ( ( ~ ( ~ ( member1261661570real_c @ SV13 @ ( collec230941376real_c @ SV344 ) )
              | ~ ( SV344 @ SV13 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2469]) ).

thf(2775,plain,
    ! [SV345: c > $o,SV14: c] :
      ( ( ( ( member_c @ SV14 @ ( collect_c @ SV345 ) )
          | ( SV345 @ SV14 ) )
        = $false )
      | ( ( ~ ( ~ ( member_c @ SV14 @ ( collect_c @ SV345 ) )
              | ~ ( SV345 @ SV14 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2470]) ).

thf(2776,plain,
    ! [SV348: c > real,SV24: finite1398487019real_c] :
      ( ( ( ! [SY1885: c] :
              ( ( finite772340578real_c @ SV24 @ SY1885 )
              = ( SV348 @ SY1885 ) )
          | ( ( finite557796307c_real @ SV348 )
            = SV24 ) )
        = $false )
      | ( ( ~ ( ~ ! [SY1885: c] :
                    ( ( finite772340578real_c @ SV24 @ SY1885 )
                    = ( SV348 @ SY1885 ) )
              | ( ( finite557796307c_real @ SV348 )
               != SV24 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2471]) ).

thf(2777,plain,
    ! [SV852: oDE_a_c,SV349: denota231621370t_unit] :
      ( ( ! [SV949: produc190496183real_c] :
            ( ( denota161327353_a_b_c @ SV349 @ SV852 @ SV949 )
            = ( ^ [SY2650: finite1398487019real_c] :
                  ( produc394644079real_c
                  @ ( finite557796307c_real
                    @ ^ [SY2651: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2651 ) @ ( denota1293057250_a_b_c @ SV349 @ SV852 ) ) @ SY2650 @ ( produc2010422875real_c @ SV949 ) ) @ SY2651 ) )
                  @ ( finite557796307c_real
                    @ ^ [SY2652: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2652 ) @ ( denota1293057250_a_b_c @ SV349 @ SV852 ) ) @ ( denota1275485728_a_b_c @ SV349 @ SV852 @ SY2650 ) @ ( produc314122909real_c @ SV949 ) ) @ SY2652 ) ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2472]) ).

thf(2778,plain,
    ! [SV852: oDE_a_c,SV349: denota231621370t_unit] :
      ( ( ( denota161327353_a_b_c @ SV349 @ SV852 )
        = ( ^ [SY2598: produc190496183real_c,SY2599: finite1398487019real_c] :
              ( produc394644079real_c
              @ ( finite557796307c_real
                @ ^ [SY2600: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2600 ) @ ( denota1293057250_a_b_c @ SV349 @ SV852 ) ) @ SY2599 @ ( produc2010422875real_c @ SY2598 ) ) @ SY2600 ) )
              @ ( finite557796307c_real
                @ ^ [SY2601: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2601 ) @ ( denota1293057250_a_b_c @ SV349 @ SV852 ) ) @ ( denota1275485728_a_b_c @ SV349 @ SV852 @ SY2599 ) @ ( produc314122909real_c @ SY2598 ) ) @ SY2601 ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2472]) ).

thf(2779,plain,
    ! [SV853: oDE_a_c,SV350: denota231621370t_unit] :
      ( ( ! [SV950: produc190496183real_c] :
            ( ( denota310462944_a_b_c @ SV350 @ SV853 @ SV950 )
            = ( ^ [SY2653: finite1398487019real_c] :
                  ( produc394644079real_c
                  @ ( finite557796307c_real
                    @ ^ [SY2654: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2654 ) @ ( denota1293057250_a_b_c @ SV350 @ SV853 ) ) @ SY2653 @ ( produc2010422875real_c @ SV950 ) ) @ SY2654 ) )
                  @ ( finite557796307c_real
                    @ ^ [SY2655: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2655 ) @ ( denota1293057250_a_b_c @ SV350 @ SV853 ) ) @ ( denota1275485728_a_b_c @ SV350 @ SV853 @ SY2653 ) @ ( produc314122909real_c @ SV950 ) ) @ SY2655 ) ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2473]) ).

thf(2780,plain,
    ! [SV853: oDE_a_c,SV350: denota231621370t_unit] :
      ( ( ( denota310462944_a_b_c @ SV350 @ SV853 )
        = ( ^ [SY2602: produc190496183real_c,SY2603: finite1398487019real_c] :
              ( produc394644079real_c
              @ ( finite557796307c_real
                @ ^ [SY2604: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2604 ) @ ( denota1293057250_a_b_c @ SV350 @ SV853 ) ) @ SY2603 @ ( produc2010422875real_c @ SY2602 ) ) @ SY2604 ) )
              @ ( finite557796307c_real
                @ ^ [SY2605: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2605 ) @ ( denota1293057250_a_b_c @ SV350 @ SV853 ) ) @ ( denota1275485728_a_b_c @ SV350 @ SV853 @ SY2603 ) @ ( produc314122909real_c @ SY2602 ) ) @ SY2605 ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2473]) ).

thf(2781,plain,
    ! [SV29: real] :
      ( ( ( zero_zero_real
          = ( uminus_uminus_real @ SV29 ) )
        = $false )
      | ( ( ~ ( ( zero_zero_real
               != ( uminus_uminus_real @ SV29 ) )
              | ( zero_zero_real != SV29 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2474]) ).

thf(2782,plain,
    ! [SV29: real] :
      ( ( ( zero_zero_real = SV29 )
        = $false )
      | ( ( ~ ( ( zero_zero_real
               != ( uminus_uminus_real @ SV29 ) )
              | ( zero_zero_real != SV29 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2474]) ).

thf(2783,plain,
    ! [SV30: real] :
      ( ( ( ( uminus_uminus_real @ SV30 )
          = zero_zero_real )
        = $false )
      | ( ( ~ ( ( ( uminus_uminus_real @ SV30 )
               != zero_zero_real )
              | ( SV30 != zero_zero_real ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2475]) ).

thf(2784,plain,
    ! [SV30: real] :
      ( ( ( SV30 = zero_zero_real )
        = $false )
      | ( ( ~ ( ( ( uminus_uminus_real @ SV30 )
               != zero_zero_real )
              | ( SV30 != zero_zero_real ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2475]) ).

thf(2785,plain,
    ! [SV31: real] :
      ( ( ( SV31
          = ( uminus_uminus_real @ SV31 ) )
        = $false )
      | ( ( ~ ( ( SV31
               != ( uminus_uminus_real @ SV31 ) )
              | ( SV31 != zero_zero_real ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2476]) ).

thf(2786,plain,
    ! [SV31: real] :
      ( ( ( SV31 = zero_zero_real )
        = $false )
      | ( ( ~ ( ( SV31
               != ( uminus_uminus_real @ SV31 ) )
              | ( SV31 != zero_zero_real ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2476]) ).

thf(2787,plain,
    ! [SV32: real] :
      ( ( ( ( uminus_uminus_real @ SV32 )
          = SV32 )
        = $false )
      | ( ( ~ ( ( ( uminus_uminus_real @ SV32 )
               != SV32 )
              | ( SV32 != zero_zero_real ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2477]) ).

thf(2788,plain,
    ! [SV32: real] :
      ( ( ( SV32 = zero_zero_real )
        = $false )
      | ( ( ~ ( ( ( uminus_uminus_real @ SV32 )
               != SV32 )
              | ( SV32 != zero_zero_real ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2477]) ).

thf(2789,plain,
    ! [SV351: real,SV33: real] :
      ( ( ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV33 ) @ ( uminus_uminus_real @ SV351 ) )
          | ( ord_less_eq_real @ SV351 @ SV33 ) )
        = $false )
      | ( ( ~ ( ~ ( ord_less_eq_real @ ( uminus_uminus_real @ SV33 ) @ ( uminus_uminus_real @ SV351 ) )
              | ~ ( ord_less_eq_real @ SV351 @ SV33 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2478]) ).

thf(2790,plain,
    ! [SV39: real] :
      ( ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV39 ) @ SV39 )
        = $false )
      | ( ( ~ ( ~ ( ord_less_eq_real @ ( uminus_uminus_real @ SV39 ) @ SV39 )
              | ~ ( ord_less_eq_real @ zero_zero_real @ SV39 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2479]) ).

thf(2791,plain,
    ! [SV39: real] :
      ( ( ( ord_less_eq_real @ zero_zero_real @ SV39 )
        = $false )
      | ( ( ~ ( ~ ( ord_less_eq_real @ ( uminus_uminus_real @ SV39 ) @ SV39 )
              | ~ ( ord_less_eq_real @ zero_zero_real @ SV39 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2479]) ).

thf(2792,plain,
    ! [SV40: real] :
      ( ( ( ord_less_eq_real @ SV40 @ ( uminus_uminus_real @ SV40 ) )
        = $false )
      | ( ( ~ ( ~ ( ord_less_eq_real @ SV40 @ ( uminus_uminus_real @ SV40 ) )
              | ~ ( ord_less_eq_real @ SV40 @ zero_zero_real ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2480]) ).

thf(2793,plain,
    ! [SV40: real] :
      ( ( ( ord_less_eq_real @ SV40 @ zero_zero_real )
        = $false )
      | ( ( ~ ( ~ ( ord_less_eq_real @ SV40 @ ( uminus_uminus_real @ SV40 ) )
              | ~ ( ord_less_eq_real @ SV40 @ zero_zero_real ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2480]) ).

thf(2794,plain,
    ! [SV41: real] :
      ( ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV41 ) @ zero_zero_real )
        = $false )
      | ( ( ~ ( ~ ( ord_less_eq_real @ ( uminus_uminus_real @ SV41 ) @ zero_zero_real )
              | ~ ( ord_less_eq_real @ zero_zero_real @ SV41 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2481]) ).

thf(2795,plain,
    ! [SV41: real] :
      ( ( ( ord_less_eq_real @ zero_zero_real @ SV41 )
        = $false )
      | ( ( ~ ( ~ ( ord_less_eq_real @ ( uminus_uminus_real @ SV41 ) @ zero_zero_real )
              | ~ ( ord_less_eq_real @ zero_zero_real @ SV41 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2481]) ).

thf(2796,plain,
    ! [SV42: real] :
      ( ( ( ord_less_eq_real @ zero_zero_real @ ( uminus_uminus_real @ SV42 ) )
        = $false )
      | ( ( ~ ( ~ ( ord_less_eq_real @ zero_zero_real @ ( uminus_uminus_real @ SV42 ) )
              | ~ ( ord_less_eq_real @ SV42 @ zero_zero_real ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2482]) ).

thf(2797,plain,
    ! [SV42: real] :
      ( ( ( ord_less_eq_real @ SV42 @ zero_zero_real )
        = $false )
      | ( ( ~ ( ~ ( ord_less_eq_real @ zero_zero_real @ ( uminus_uminus_real @ SV42 ) )
              | ~ ( ord_less_eq_real @ SV42 @ zero_zero_real ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2482]) ).

thf(2798,plain,
    ! [SV355: real,SV43: real] :
      ( ( ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV43 ) @ SV355 )
          | ( ord_less_eq_real @ ( uminus_uminus_real @ SV355 ) @ SV43 ) )
        = $false )
      | ( ( ~ ( ~ ( ord_less_eq_real @ ( uminus_uminus_real @ SV43 ) @ SV355 )
              | ~ ( ord_less_eq_real @ ( uminus_uminus_real @ SV355 ) @ SV43 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2483]) ).

thf(2799,plain,
    ! [SV356: real,SV44: real] :
      ( ( ( ( ord_less_eq_real @ SV44 @ ( uminus_uminus_real @ SV356 ) )
          | ( ord_less_eq_real @ SV356 @ ( uminus_uminus_real @ SV44 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ord_less_eq_real @ SV44 @ ( uminus_uminus_real @ SV356 ) )
              | ~ ( ord_less_eq_real @ SV356 @ ( uminus_uminus_real @ SV44 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2484]) ).

thf(2800,plain,
    ! [SV854: oDE_a_c,SV360: denota231621370t_unit] :
      ( ( ! [SV951: finite1398487019real_c] :
            ( ( denota1896987029_a_b_c @ SV360 @ SV854 @ SV951 )
            = ( produc394644079real_c @ SV951 @ ( denota1275485728_a_b_c @ SV360 @ SV854 @ SV951 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2485]) ).

thf(2801,plain,
    ! [SV854: oDE_a_c,SV360: denota231621370t_unit] :
      ( ( ( denota1896987029_a_b_c @ SV360 @ SV854 )
        = ( ^ [SY2606: finite1398487019real_c] : ( produc394644079real_c @ SY2606 @ ( denota1275485728_a_b_c @ SV360 @ SV854 @ SY2606 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2485]) ).

thf(2802,plain,
    ! [SV49: real] :
      ( ( ( zero_zero_real = SV49 )
        = $false )
      | ( ( ~ ( ( zero_zero_real != SV49 )
              | ( SV49 != zero_zero_real ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2486]) ).

thf(2803,plain,
    ! [SV49: real] :
      ( ( ( SV49 = zero_zero_real )
        = $false )
      | ( ( ~ ( ( zero_zero_real != SV49 )
              | ( SV49 != zero_zero_real ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2486]) ).

thf(2804,plain,
    ! [SV644: oDE_a_c,SV362: denota231621370t_unit,SV51: c] :
      ( ( ( ~ ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SV51 ) @ ( denota1293057250_a_b_c @ SV362 @ SV644 ) )
              | ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SV51 ) @ ( denota1293057250_a_b_c @ SV362 @ SV644 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SV51 ) @ ( denota1293057250_a_b_c @ SV362 @ SV644 ) )
              | ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SV51 ) @ ( denota1293057250_a_b_c @ SV362 @ SV644 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2487]) ).

thf(2805,plain,
    ! [SV363: set_Sum_sum_c_c,SV52: set_Sum_sum_c_c] :
      ( ( ( ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SV52 ) @ ( uminus1381786404um_c_c @ SV363 ) )
          | ( ord_le1772180283um_c_c @ SV363 @ SV52 ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SV52 ) @ ( uminus1381786404um_c_c @ SV363 ) )
              | ~ ( ord_le1772180283um_c_c @ SV363 @ SV52 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2489]) ).

thf(2806,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ~ ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ ( equiv_a_b_c @ SV645 @ SV855 ) ) )
            | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
              = ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) ) )
        | ~ ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ ( equiv_a_b_c @ SV645 @ SV855 ) ) )
            | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
             != ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2490]) ).

thf(2807,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ ( equiv_a_b_c @ SV645 @ SV855 ) ) )
        = ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
          = ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2490]) ).

thf(2808,plain,
    ! [SV365: set_Sum_sum_c_c,SV55: set_Sum_sum_c_c] :
      ( ( ( ( ( uminus1381786404um_c_c @ SV55 )
            = ( uminus1381786404um_c_c @ SV365 ) )
          | ( SV55 = SV365 ) )
        = $false )
      | ( ( ~ ( ( ( uminus1381786404um_c_c @ SV55 )
               != ( uminus1381786404um_c_c @ SV365 ) )
              | ( SV55 != SV365 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2491]) ).

thf(2809,plain,
    ! [SV368: set_Sum_sum_c_c,SV58: set_Sum_sum_c_c] :
      ( ( ( ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SV58 ) @ ( uminus1381786404um_c_c @ SV368 ) )
          | ( ord_le1772180283um_c_c @ SV368 @ SV58 ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SV58 ) @ ( uminus1381786404um_c_c @ SV368 ) )
              | ~ ( ord_le1772180283um_c_c @ SV368 @ SV58 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2492]) ).

thf(2810,plain,
    ! [SV369: set_Sum_sum_c_c,SV59: set_Sum_sum_c_c] :
      ( ( ( ( ( uminus1381786404um_c_c @ SV59 )
            = ( uminus1381786404um_c_c @ SV369 ) )
          | ( SV59 = SV369 ) )
        = $false )
      | ( ( ~ ( ( ( uminus1381786404um_c_c @ SV59 )
               != ( uminus1381786404um_c_c @ SV369 ) )
              | ( SV59 != SV369 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2493]) ).

thf(2811,plain,
    ! [SV370: set_c,SV60: c] :
      ( ( ( ( member_c @ SV60 @ ( uminus_uminus_set_c @ SV370 ) )
          | ~ ( member_c @ SV60 @ SV370 ) )
        = $false )
      | ( ( ~ ( ~ ( member_c @ SV60 @ ( uminus_uminus_set_c @ SV370 ) )
              | ~ ~ ( member_c @ SV60 @ SV370 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2494]) ).

thf(2812,plain,
    ! [SV371: set_Sum_sum_c_d,SV61: sum_sum_c_d] :
      ( ( ( ( member_Sum_sum_c_d @ SV61 @ ( uminus373867045um_c_d @ SV371 ) )
          | ~ ( member_Sum_sum_c_d @ SV61 @ SV371 ) )
        = $false )
      | ( ( ~ ( ~ ( member_Sum_sum_c_d @ SV61 @ ( uminus373867045um_c_d @ SV371 ) )
              | ~ ~ ( member_Sum_sum_c_d @ SV61 @ SV371 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2495]) ).

thf(2813,plain,
    ! [SV372: set_Pr1389752855real_c,SV62: produc190496183real_c] :
      ( ( ( ( member1895684704real_c @ SV62 @ ( uminus232257166real_c @ SV372 ) )
          | ~ ( member1895684704real_c @ SV62 @ SV372 ) )
        = $false )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV62 @ ( uminus232257166real_c @ SV372 ) )
              | ~ ~ ( member1895684704real_c @ SV62 @ SV372 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2496]) ).

thf(2814,plain,
    ! [SV373: set_re2066790124real_c,SV63: real > finite1398487019real_c] :
      ( ( ( ( member1321351885real_c @ SV63 @ ( uminus946614837real_c @ SV373 ) )
          | ~ ( member1321351885real_c @ SV63 @ SV373 ) )
        = $false )
      | ( ( ~ ( ~ ( member1321351885real_c @ SV63 @ ( uminus946614837real_c @ SV373 ) )
              | ~ ~ ( member1321351885real_c @ SV63 @ SV373 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2497]) ).

thf(2815,plain,
    ! [SV374: set_Sum_sum_c_c,SV64: sum_sum_c_c] :
      ( ( ( ( member_Sum_sum_c_c @ SV64 @ ( uminus1381786404um_c_c @ SV374 ) )
          | ~ ( member_Sum_sum_c_c @ SV64 @ SV374 ) )
        = $false )
      | ( ( ~ ( ~ ( member_Sum_sum_c_c @ SV64 @ ( uminus1381786404um_c_c @ SV374 ) )
              | ~ ~ ( member_Sum_sum_c_c @ SV64 @ SV374 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2498]) ).

thf(2816,plain,
    ! [SV856: set_Sum_sum_c_c,SV381: set_Sum_sum_c_c] :
      ( ( ~ ( ( ord_le1772180283um_c_c @ SV381 @ SV856 )
            | ( ord_le1315653386_c_c_o
              @ ^ [SY1915: sum_sum_c_c] : ( member_Sum_sum_c_c @ SY1915 @ SV381 )
              @ ^ [SY2608: sum_sum_c_c] : ( member_Sum_sum_c_c @ SY2608 @ SV856 ) ) )
        | ~ ( ~ ( ord_le1772180283um_c_c @ SV381 @ SV856 )
            | ~ ( ord_le1315653386_c_c_o
                @ ^ [SY1915: sum_sum_c_c] : ( member_Sum_sum_c_c @ SY1915 @ SV381 )
                @ ^ [SY2608: sum_sum_c_c] : ( member_Sum_sum_c_c @ SY2608 @ SV856 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2499]) ).

thf(2817,plain,
    ! [SV856: set_Sum_sum_c_c,SV381: set_Sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ SV381 @ SV856 )
        = ( ord_le1315653386_c_c_o
          @ ^ [SY1915: sum_sum_c_c] : ( member_Sum_sum_c_c @ SY1915 @ SV381 )
          @ ^ [SY2608: sum_sum_c_c] : ( member_Sum_sum_c_c @ SY2608 @ SV856 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2499]) ).

thf(2818,plain,
    ! [SV857: set_c,SV382: set_c] :
      ( ( ~ ( ( ord_less_eq_set_c @ SV382 @ SV857 )
            | ( ord_less_eq_c_o
              @ ^ [SY1918: c] : ( member_c @ SY1918 @ SV382 )
              @ ^ [SY2610: c] : ( member_c @ SY2610 @ SV857 ) ) )
        | ~ ( ~ ( ord_less_eq_set_c @ SV382 @ SV857 )
            | ~ ( ord_less_eq_c_o
                @ ^ [SY1918: c] : ( member_c @ SY1918 @ SV382 )
                @ ^ [SY2610: c] : ( member_c @ SY2610 @ SV857 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2500]) ).

thf(2819,plain,
    ! [SV857: set_c,SV382: set_c] :
      ( ( ( ord_less_eq_set_c @ SV382 @ SV857 )
        = ( ord_less_eq_c_o
          @ ^ [SY1918: c] : ( member_c @ SY1918 @ SV382 )
          @ ^ [SY2610: c] : ( member_c @ SY2610 @ SV857 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2500]) ).

thf(2820,plain,
    ! [SV858: set_Sum_sum_c_d,SV383: set_Sum_sum_c_d] :
      ( ( ~ ( ( ord_le764260924um_c_d @ SV383 @ SV858 )
            | ( ord_le2143422793_c_d_o
              @ ^ [SY1921: sum_sum_c_d] : ( member_Sum_sum_c_d @ SY1921 @ SV383 )
              @ ^ [SY2612: sum_sum_c_d] : ( member_Sum_sum_c_d @ SY2612 @ SV858 ) ) )
        | ~ ( ~ ( ord_le764260924um_c_d @ SV383 @ SV858 )
            | ~ ( ord_le2143422793_c_d_o
                @ ^ [SY1921: sum_sum_c_d] : ( member_Sum_sum_c_d @ SY1921 @ SV383 )
                @ ^ [SY2612: sum_sum_c_d] : ( member_Sum_sum_c_d @ SY2612 @ SV858 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2501]) ).

thf(2821,plain,
    ! [SV858: set_Sum_sum_c_d,SV383: set_Sum_sum_c_d] :
      ( ( ( ord_le764260924um_c_d @ SV383 @ SV858 )
        = ( ord_le2143422793_c_d_o
          @ ^ [SY1921: sum_sum_c_d] : ( member_Sum_sum_c_d @ SY1921 @ SV383 )
          @ ^ [SY2612: sum_sum_c_d] : ( member_Sum_sum_c_d @ SY2612 @ SV858 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2501]) ).

thf(2822,plain,
    ! [SV859: set_Pr1389752855real_c,SV384: set_Pr1389752855real_c] :
      ( ( ~ ( ( ord_le977353143real_c @ SV384 @ SV859 )
            | ( ord_le1132241894al_c_o
              @ ^ [SY1924: produc190496183real_c] : ( member1895684704real_c @ SY1924 @ SV384 )
              @ ^ [SY2614: produc190496183real_c] : ( member1895684704real_c @ SY2614 @ SV859 ) ) )
        | ~ ( ~ ( ord_le977353143real_c @ SV384 @ SV859 )
            | ~ ( ord_le1132241894al_c_o
                @ ^ [SY1924: produc190496183real_c] : ( member1895684704real_c @ SY1924 @ SV384 )
                @ ^ [SY2614: produc190496183real_c] : ( member1895684704real_c @ SY2614 @ SV859 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2502]) ).

thf(2823,plain,
    ! [SV859: set_Pr1389752855real_c,SV384: set_Pr1389752855real_c] :
      ( ( ( ord_le977353143real_c @ SV384 @ SV859 )
        = ( ord_le1132241894al_c_o
          @ ^ [SY1924: produc190496183real_c] : ( member1895684704real_c @ SY1924 @ SV384 )
          @ ^ [SY2614: produc190496183real_c] : ( member1895684704real_c @ SY2614 @ SV859 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2502]) ).

thf(2824,plain,
    ! [SV860: set_re2066790124real_c,SV385: set_re2066790124real_c] :
      ( ( ~ ( ( ord_le35002188real_c @ SV385 @ SV860 )
            | ( ord_le818951225al_c_o
              @ ^ [SY1927: real > finite1398487019real_c] : ( member1321351885real_c @ SY1927 @ SV385 )
              @ ^ [SY2616: real > finite1398487019real_c] : ( member1321351885real_c @ SY2616 @ SV860 ) ) )
        | ~ ( ~ ( ord_le35002188real_c @ SV385 @ SV860 )
            | ~ ( ord_le818951225al_c_o
                @ ^ [SY1927: real > finite1398487019real_c] : ( member1321351885real_c @ SY1927 @ SV385 )
                @ ^ [SY2616: real > finite1398487019real_c] : ( member1321351885real_c @ SY2616 @ SV860 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2503]) ).

thf(2825,plain,
    ! [SV860: set_re2066790124real_c,SV385: set_re2066790124real_c] :
      ( ( ( ord_le35002188real_c @ SV385 @ SV860 )
        = ( ord_le818951225al_c_o
          @ ^ [SY1927: real > finite1398487019real_c] : ( member1321351885real_c @ SY1927 @ SV385 )
          @ ^ [SY2616: real > finite1398487019real_c] : ( member1321351885real_c @ SY2616 @ SV860 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2503]) ).

thf(2826,plain,
    ! [SV861: c,SV398: produc190496183real_c] :
      ( ( ! [SV952: real] :
            ( ( denotational_repd_c @ SV398 @ SV861 @ SV952 )
            = ( produc394644079real_c @ ( produc2010422875real_c @ SV398 )
              @ ( finite557796307c_real
                @ ^ [SY2656: c] : ( if_real @ ( SV861 = SY2656 ) @ SV952 @ ( finite772340578real_c @ ( produc314122909real_c @ SV398 ) @ SY2656 ) ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2504]) ).

thf(2827,plain,
    ! [SV861: c,SV398: produc190496183real_c] :
      ( ( ( denotational_repd_c @ SV398 @ SV861 )
        = ( ^ [SY2617: real] :
              ( produc394644079real_c @ ( produc2010422875real_c @ SV398 )
              @ ( finite557796307c_real
                @ ^ [SY2618: c] : ( if_real @ ( SV861 = SY2618 ) @ SY2617 @ ( finite772340578real_c @ ( produc314122909real_c @ SV398 ) @ SY2618 ) ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2504]) ).

thf(2828,plain,
    ! [SV658: set_Sum_sum_c_c,SV399: set_c,SV93: c > sum_sum_c_c] :
      ( ( ( ~ ( ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV93 @ SV399 ) @ SV658 )
              | ( member_c_Sum_sum_c_c @ SV93
                @ ( pi_c_Sum_sum_c_c @ SV399
                  @ ^ [SY2391: c] : SV658 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV93 @ SV399 ) @ SV658 )
              | ~ ( member_c_Sum_sum_c_c @ SV93
                  @ ( pi_c_Sum_sum_c_c @ SV399
                    @ ^ [SY2391: c] : SV658 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2505]) ).

thf(2829,plain,
    ! [SV659: set_Sum_sum_c_d,SV400: set_c,SV94: c > sum_sum_c_d] :
      ( ( ( ~ ( ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV94 @ SV400 ) @ SV659 )
              | ( member_c_Sum_sum_c_d @ SV94
                @ ( pi_c_Sum_sum_c_d @ SV400
                  @ ^ [SY2392: c] : SV659 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV94 @ SV400 ) @ SV659 )
              | ~ ( member_c_Sum_sum_c_d @ SV94
                  @ ( pi_c_Sum_sum_c_d @ SV400
                    @ ^ [SY2392: c] : SV659 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2507]) ).

thf(2830,plain,
    ! [SV660: set_Fi1407883041real_c,SV401: set_real,SV95: real > finite1398487019real_c] :
      ( ( ( ~ ( ( ord_le1327118209real_c @ ( image_327677598real_c @ SV95 @ SV401 ) @ SV660 )
              | ( member1321351885real_c @ SV95
                @ ( pi_rea1111636068real_c @ SV401
                  @ ^ [SY2393: real] : SV660 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ord_le1327118209real_c @ ( image_327677598real_c @ SV95 @ SV401 ) @ SV660 )
              | ~ ( member1321351885real_c @ SV95
                  @ ( pi_rea1111636068real_c @ SV401
                    @ ^ [SY2393: real] : SV660 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2509]) ).

thf(2831,plain,
    ! [SV98: $o] :
      ( ( ( SV98
          | $true )
        = $false )
      | ( ( ~ ( ~ SV98
              | ~ $true ) )
        = $true )
      | ( ( SV98 = $false )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2511]) ).

thf(2832,plain,
    ! [SV98: $o] :
      ( ( ( ~ ( SV98
              | $false ) )
        = $true )
      | ( ( ~ ( ~ SV98
              | ~ $false ) )
        = $true )
      | ( ( SV98 = $true )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2512]) ).

thf(2833,plain,
    ( ( ( $true
        | $true )
      = $false )
    | ( ( ~ ( ~ $true
            | ~ $true ) )
      = $true )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2514]) ).

thf(2834,plain,
    ( ( ( ~ ( $true
            | $false ) )
      = $true )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2515]) ).

thf(2835,plain,
    ( ( ( $false
        | $true )
      = $false )
    | ( ( ~ ( ~ $false
            | ~ $true ) )
      = $true )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2517]) ).

thf(2836,plain,
    ( ( ( ~ ( $false
            | $false ) )
      = $true )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2518]) ).

thf(2837,plain,
    ! [SV661: sum_sum_c_d,SV406: set_Sum_sum_c_d,SV101: set_Sum_sum_c_d] :
      ( ( ( ord_le764260924um_c_d @ SV101 @ SV406 )
        = $false )
      | ( ( ~ ( member_Sum_sum_c_d @ SV661 @ SV101 )
          | ( member_Sum_sum_c_d @ SV661 @ SV406 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2520]) ).

thf(2838,plain,
    ! [SV102: set_Sum_sum_c_d,SV407: set_Sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_d @ ( sK4_SY1951 @ SV407 @ SV102 ) @ SV102 )
          | ( member_Sum_sum_c_d @ ( sK4_SY1951 @ SV407 @ SV102 ) @ SV407 ) )
        = $false )
      | ( ( ord_le764260924um_c_d @ SV102 @ SV407 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2521]) ).

thf(2839,plain,
    ! [SV862: real,SV662: set_Fi1407883041real_c,SV408: set_real,SV103: real > finite1398487019real_c] :
      ( ( ( ~ ( member1321351885real_c @ SV103
              @ ( pi_rea1111636068real_c @ SV408
                @ ^ [SY2395: real] : SV662 ) ) )
        = $true )
      | ( ( ~ ( member_real @ SV862 @ SV408 )
          | ( member1261661570real_c @ ( SV103 @ SV862 ) @ SV662 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2522]) ).

thf(2840,plain,
    ! [SV863: sum_sum_c_c,SV663: sum_sum_c_c > set_c,SV409: set_Sum_sum_c_c,SV104: sum_sum_c_c > c] :
      ( ( ( ~ ( member_Sum_sum_c_c_c @ SV104 @ ( pi_Sum_sum_c_c_c @ SV409 @ SV663 ) ) )
        = $true )
      | ( ( ~ ( member_Sum_sum_c_c @ SV863 @ SV409 )
          | ( member_c @ ( SV104 @ SV863 ) @ ( SV663 @ SV863 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2523]) ).

thf(2841,plain,
    ! [SV664: c,SV410: set_c,SV105: set_c] :
      ( ( ( ord_less_eq_set_c @ SV105 @ SV410 )
        = $false )
      | ( ( ~ ( member_c @ SV664 @ SV105 )
          | ( member_c @ SV664 @ SV410 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2524]) ).

thf(2842,plain,
    ! [SV864: real > finite1398487019real_c,SV665: set_re2066790124real_c,SV411: set_re2066790124real_c,SV106: ( real > finite1398487019real_c ) > real > finite1398487019real_c] :
      ( ( ( ~ ( member1851015714real_c @ SV106
              @ ( pi_rea1386151481real_c @ SV411
                @ ^ [SY2398: real > finite1398487019real_c] : SV665 ) ) )
        = $true )
      | ( ( ~ ( member1321351885real_c @ SV864 @ SV411 )
          | ( member1321351885real_c @ ( SV106 @ SV864 ) @ SV665 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2525]) ).

thf(2843,plain,
    ! [SV865: finite1398487019real_c,SV666: finite1398487019real_c,SV412: finite1398487019real_c,SV107: finite1398487019real_c] :
      ( ( ~ ( ( ( produc394644079real_c @ SV107 @ SV412 )
              = ( produc394644079real_c @ SV666 @ SV865 ) )
            | ~ ( ( SV107 != SV666 )
                | ( SV412 != SV865 ) ) )
        | ~ ( ( ( produc394644079real_c @ SV107 @ SV412 )
             != ( produc394644079real_c @ SV666 @ SV865 ) )
            | ~ ~ ( ( SV107 != SV666 )
                  | ( SV412 != SV865 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2526]) ).

thf(2844,plain,
    ! [SV865: finite1398487019real_c,SV666: finite1398487019real_c,SV412: finite1398487019real_c,SV107: finite1398487019real_c] :
      ( ( ( ( produc394644079real_c @ SV107 @ SV412 )
          = ( produc394644079real_c @ SV666 @ SV865 ) )
        = ( ~ ( ( SV107 != SV666 )
              | ( SV412 != SV865 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2526]) ).

thf(2845,plain,
    ! [SV668: set_c,SV414: c > sum_sum_c_d,SV109: set_Sum_sum_c_d] :
      ( ( ( ~ ( ( ord_le764260924um_c_d @ SV109 @ ( image_c_Sum_sum_c_d @ SV414 @ SV668 ) )
              | ~ ! [SY2402: set_c] :
                    ~ ~ ( ~ ( ord_less_eq_set_c @ SY2402 @ SV668 )
                        | ( SV109
                         != ( image_c_Sum_sum_c_d @ SV414 @ SY2402 ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ord_le764260924um_c_d @ SV109 @ ( image_c_Sum_sum_c_d @ SV414 @ SV668 ) )
              | ~ ~ ! [SY2402: set_c] :
                      ~ ~ ( ~ ( ord_less_eq_set_c @ SY2402 @ SV668 )
                          | ( SV109
                           != ( image_c_Sum_sum_c_d @ SV414 @ SY2402 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2527]) ).

thf(2846,plain,
    ! [SV866: finite1398487019real_c,SV669: oDE_a_c,SV415: denota231621370t_unit,SV110: produc190496183real_c] :
      ( ( ! [SY2621: produc190496183real_c] :
            ~ ~ ( ~ ( denota1997846518gree_c @ SY2621 @ SV110 @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ SV415 @ SV669 ) ) )
                | ~ ( denota1997846518gree_c @ SY2621 @ ( denota1896987029_a_b_c @ SV415 @ SV669 @ SV866 ) @ ( denota1293057250_a_b_c @ SV415 @ SV669 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2529]) ).

thf(2847,plain,
    ( ( ( ode != oDEa )
      = $true )
    | ( ( ( p != phi )
        | ~ ( ord_less_eq_real @ zero_zero_real @ t )
        | ( ( produc394644079real_c @ aa @ ba )
         != ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
        | ~ ( initia1631504802real_c @ sol
            @ ^ [SX0: real] : ( denota1275485728_a_b_c @ i @ oDEa )
            @ ( set_or656347191t_real @ zero_zero_real @ t )
            @ ( collec230941376real_c
              @ ^ [SX0: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ SX0 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) )
        | ~ ( denota256060419gree_c @ ( sol @ zero_zero_real ) @ ab
            @ ( collect_c
              @ ^ [SX0: c] :
                  ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_BVO_a_c @ oDEa ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( static_FVO_a_c @ oDEa ) ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_FVF_a_b_c @ phi ) ) ) ) )
        | ( ab
          = ( finite557796307c_real
            @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
      = $true )
    | ( ( fsafe_a_b_c @ phi )
      = $false )
    | ( ( osafe_a_c @ oDEa )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2530]) ).

thf(2848,plain,
    ! [SV670: produc190496183real_c,SV417: produc190496183real_c,SV112: produc190496183real_c] :
      ( ( ( ~ ( ( member1895684704real_c @ SV112 @ ( set_or385782508real_c @ SV417 @ SV670 ) )
              | ~ ( ~ ( ord_le850691415real_c @ SV417 @ SV112 )
                  | ~ ( ord_le850691415real_c @ SV112 @ SV670 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV112 @ ( set_or385782508real_c @ SV417 @ SV670 ) )
              | ~ ~ ( ~ ( ord_le850691415real_c @ SV417 @ SV112 )
                    | ~ ( ord_le850691415real_c @ SV112 @ SV670 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2532]) ).

thf(2849,plain,
    ! [SV867: set_c,SV671: c,SV418: c > sum_sum_c_d,SV113: sum_sum_c_d] :
      ( ( ( SV113
         != ( SV418 @ SV671 ) )
        = $true )
      | ( ( ~ ( member_c @ SV671 @ SV867 )
          | ( member_Sum_sum_c_d @ SV113 @ ( image_c_Sum_sum_c_d @ SV418 @ SV867 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2534]) ).

thf(2850,plain,
    ! [SV672: set_c,SV420: c > sum_sum_c_d,SV115: sum_sum_c_d] :
      ( ( ( ~ ( ( member_Sum_sum_c_d @ SV115 @ ( image_c_Sum_sum_c_d @ SV420 @ SV672 ) )
              | ~ ! [SY2406: c] :
                    ~ ~ ( ~ ( member_c @ SY2406 @ SV672 )
                        | ( SV115
                         != ( SV420 @ SY2406 ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( member_Sum_sum_c_d @ SV115 @ ( image_c_Sum_sum_c_d @ SV420 @ SV672 ) )
              | ~ ~ ! [SY2406: c] :
                      ~ ~ ( ~ ( member_c @ SY2406 @ SV672 )
                          | ( SV115
                           != ( SV420 @ SY2406 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2535]) ).

thf(2851,plain,
    ! [SV673: set_re2066790124real_c,SV421: c > real > finite1398487019real_c,SV116: set_c] :
      ( ( ( ! [SY2407: c] :
              ( ~ ( member_c @ SY2407 @ SV116 )
              | ( member1321351885real_c @ ( SV421 @ SY2407 ) @ SV673 ) ) )
        = $false )
      | ( ( member469531344real_c @ SV421
          @ ( pi_c_r41638571real_c @ SV116
            @ ^ [SY2408: c] : SV673 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2537]) ).

thf(2852,plain,
    ( ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $false )
    | ( ( ( finite772340578real_c @ ( produc314122909real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) ) @ i2 )
        = ( finite772340578real_c @ ( denota1275485728_a_b_c @ i @ oDEa @ ( sol @ x ) ) @ i2 ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2538]) ).

thf(2853,plain,
    ( ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $false )
    | ( ( ( finite772340578real_c @ ( produc314122909real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) ) @ i2 )
        = ( finite772340578real_c @ ( denota1275485728_a_b_c @ i @ oDEa @ ( sol @ x ) ) @ i2 ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2539]) ).

thf(2854,plain,
    ! [SV674: real,SV422: real,SV117: real] :
      ( ( ( ~ ( ( member_real @ SV117 @ ( set_or656347191t_real @ SV422 @ SV674 ) )
              | ~ ( ~ ( ord_less_eq_real @ SV422 @ SV117 )
                  | ~ ( ord_less_eq_real @ SV117 @ SV674 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( member_real @ SV117 @ ( set_or656347191t_real @ SV422 @ SV674 ) )
              | ~ ~ ( ~ ( ord_less_eq_real @ SV422 @ SV117 )
                    | ~ ( ord_less_eq_real @ SV117 @ SV674 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2540]) ).

thf(2855,plain,
    ! [SV675: set_Sum_sum_c_c,SV423: sum_sum_c_c > c,SV118: c] :
      ( ( ( member_c @ SV118 @ ( image_Sum_sum_c_c_c @ SV423 @ SV675 ) )
        = $false )
      | ( ( ~ ! [SY2409: sum_sum_c_c] :
                ( ( SV118
                 != ( SV423 @ SY2409 ) )
                | ~ ( member_Sum_sum_c_c @ SY2409 @ SV675 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2542]) ).

thf(2856,plain,
    ! [SV868: finite1398487019real_c,SV424: finite1398487019real_c] :
      ( ( ! [SV953: set_c] :
            ( ( denota256060419gree_c @ SV424 @ SV868 @ SV953 )
            = ( ! [SY2657: c] :
                  ( ~ ( member_c @ SY2657 @ SV953 )
                  | ( ( finite772340578real_c @ SV424 @ SY2657 )
                    = ( finite772340578real_c @ SV868 @ SY2657 ) ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2543]) ).

thf(2857,plain,
    ! [SV868: finite1398487019real_c,SV424: finite1398487019real_c] :
      ( ( ( denota256060419gree_c @ SV424 @ SV868 )
        = ( ^ [SY2622: set_c] :
            ! [SY2623: c] :
              ( ~ ( member_c @ SY2623 @ SY2622 )
              | ( ( finite772340578real_c @ SV424 @ SY2623 )
                = ( finite772340578real_c @ SV868 @ SY2623 ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2543]) ).

thf(2858,plain,
    ! [SV677: set_Sum_sum_c_c,SV425: sum_sum_c_d > sum_sum_c_c,SV120: set_Sum_sum_c_d] :
      ( ( ( ! [SY2412: sum_sum_c_d] :
              ( ~ ( member_Sum_sum_c_d @ SY2412 @ SV120 )
              | ( member_Sum_sum_c_c @ ( SV425 @ SY2412 ) @ SV677 ) ) )
        = $false )
      | ( ( ord_le1772180283um_c_c @ ( image_1558941394um_c_c @ SV425 @ SV120 ) @ SV677 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2544]) ).

thf(2859,plain,
    ! [SV679: sum_sum_c_c > set_Sum_sum_c_d,SV429: sum_sum_c_c > sum_sum_c_d,SV124: set_Sum_sum_c_c] :
      ( ( ( ! [SY2415: sum_sum_c_c] :
              ( ~ ( member_Sum_sum_c_c @ SY2415 @ SV124 )
              | ( member_Sum_sum_c_d @ ( SV429 @ SY2415 ) @ ( SV679 @ SY2415 ) ) ) )
        = $false )
      | ( ( member318754689um_c_d @ SV429 @ ( pi_Sum261268376um_c_d @ SV124 @ SV679 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2546]) ).

thf(2860,plain,
    ! [SV869: set_Sum_sum_c_d,SV430: set_Sum_sum_c_d] :
      ( ( ~ ( ( ord_le764260924um_c_d @ SV430 @ SV869 )
            | ! [SY2624: sum_sum_c_d] :
                ( ~ ( member_Sum_sum_c_d @ SY2624 @ SV430 )
                | ( member_Sum_sum_c_d @ SY2624 @ SV869 ) ) )
        | ~ ( ~ ( ord_le764260924um_c_d @ SV430 @ SV869 )
            | ~ ! [SY2624: sum_sum_c_d] :
                  ( ~ ( member_Sum_sum_c_d @ SY2624 @ SV430 )
                  | ( member_Sum_sum_c_d @ SY2624 @ SV869 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2547]) ).

thf(2861,plain,
    ! [SV869: set_Sum_sum_c_d,SV430: set_Sum_sum_c_d] :
      ( ( ( ord_le764260924um_c_d @ SV430 @ SV869 )
        = ( ! [SY2624: sum_sum_c_d] :
              ( ~ ( member_Sum_sum_c_d @ SY2624 @ SV430 )
              | ( member_Sum_sum_c_d @ SY2624 @ SV869 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2547]) ).

thf(2862,plain,
    ! [SV681: sum_sum_c_d > set_c,SV431: sum_sum_c_d > c,SV126: set_Sum_sum_c_d] :
      ( ( ( ! [SY2417: sum_sum_c_d] :
              ( ~ ( member_Sum_sum_c_d @ SY2417 @ SV126 )
              | ( member_c @ ( SV431 @ SY2417 ) @ ( SV681 @ SY2417 ) ) ) )
        = $false )
      | ( ( member_Sum_sum_c_d_c @ SV431 @ ( pi_Sum_sum_c_d_c @ SV126 @ SV681 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2548]) ).

thf(2863,plain,
    ! [SV682: c > sum_sum_c_c,SV433: set_c,SV128: set_c] :
      ( ( ( ord_less_eq_set_c @ SV128 @ SV433 )
        = $false )
      | ( ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV682 @ SV128 ) @ ( image_c_Sum_sum_c_c @ SV682 @ SV433 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2550]) ).

thf(2864,plain,
    ! [SV683: sum_sum_c_c > $o,SV434: set_c,SV129: c > sum_sum_c_c] :
      ( ( ( ! [SY2418: sum_sum_c_c] :
              ( ~ ( member_Sum_sum_c_c @ SY2418 @ ( image_c_Sum_sum_c_c @ SV129 @ SV434 ) )
              | ( SV683 @ SY2418 ) ) )
        = $false )
      | ( ( ! [SY2419: c] :
              ( ~ ( member_c @ SY2419 @ SV434 )
              | ( SV683 @ ( SV129 @ SY2419 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2551]) ).

thf(2865,plain,
    ! [SV684: set_Sum_sum_c_d,SV435: sum_sum_c_c > sum_sum_c_d,SV130: set_Sum_sum_c_c] :
      ( ( ( ! [SY2420: sum_sum_c_c] :
              ( ~ ( member_Sum_sum_c_c @ SY2420 @ SV130 )
              | ( member_Sum_sum_c_d @ ( SV435 @ SY2420 ) @ SV684 ) ) )
        = $false )
      | ( ( ord_le764260924um_c_d @ ( image_675141842um_c_d @ SV435 @ SV130 ) @ SV684 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2552]) ).

thf(2866,plain,
    ! [SV870: c,SV685: c > set_Sum_sum_c_c,SV436: set_c,SV131: c > sum_sum_c_c] :
      ( ( ( ~ ( member_c_Sum_sum_c_c @ SV131 @ ( pi_c_Sum_sum_c_c @ SV436 @ SV685 ) ) )
        = $true )
      | ( ( ~ ( member_c @ SV870 @ SV436 )
          | ( member_Sum_sum_c_c @ ( SV131 @ SV870 ) @ ( SV685 @ SV870 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2553]) ).

thf(2867,plain,
    ! [SV871: set_re2066790124real_c,SV437: set_re2066790124real_c] :
      ( ( ~ ( ( ord_le35002188real_c @ SV437 @ SV871 )
            | ! [SY2625: real > finite1398487019real_c] :
                ( ~ ( member1321351885real_c @ SY2625 @ SV437 )
                | ( member1321351885real_c @ SY2625 @ SV871 ) ) )
        | ~ ( ~ ( ord_le35002188real_c @ SV437 @ SV871 )
            | ~ ! [SY2625: real > finite1398487019real_c] :
                  ( ~ ( member1321351885real_c @ SY2625 @ SV437 )
                  | ( member1321351885real_c @ SY2625 @ SV871 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2554]) ).

thf(2868,plain,
    ! [SV871: set_re2066790124real_c,SV437: set_re2066790124real_c] :
      ( ( ( ord_le35002188real_c @ SV437 @ SV871 )
        = ( ! [SY2625: real > finite1398487019real_c] :
              ( ~ ( member1321351885real_c @ SY2625 @ SV437 )
              | ( member1321351885real_c @ SY2625 @ SV871 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2554]) ).

thf(2869,plain,
    ! [SV872: c,SV687: c > set_Sum_sum_c_d,SV438: set_c,SV133: c > sum_sum_c_d] :
      ( ( ( ~ ( member_c_Sum_sum_c_d @ SV133 @ ( pi_c_Sum_sum_c_d @ SV438 @ SV687 ) ) )
        = $true )
      | ( ( ~ ( member_c @ SV872 @ SV438 )
          | ( member_Sum_sum_c_d @ ( SV133 @ SV872 ) @ ( SV687 @ SV872 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2555]) ).

thf(2870,plain,
    ! [SV873: c,SV688: c > set_Sum_sum_c_d,SV439: set_c,SV134: c > sum_sum_c_d] :
      ( ( ( ~ ( member_c_Sum_sum_c_d @ SV134 @ ( pi_c_Sum_sum_c_d @ SV439 @ SV688 ) ) )
        = $true )
      | ( ( ~ ~ ( member_Sum_sum_c_d @ ( SV134 @ SV873 ) @ ( SV688 @ SV873 ) )
          | ~ ( member_c @ SV873 @ SV439 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2556]) ).

thf(2871,plain,
    ! [SV440: produc190496183real_c,SV135: produc190496183real_c > $o] :
      ( ( ( ! [SY2658: finite1398487019real_c] : ( SV135 @ ( produc394644079real_c @ ( sK5_SY1346 @ SV440 @ SV135 ) @ SY2658 ) ) )
        = $false )
      | ( ( SV135 @ SV440 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2557]) ).

thf(2872,plain,
    ! [SV689: set_c,SV441: c > c,SV136: set_c] :
      ( ( ( ! [SY2425: c] :
              ( ~ ( member_c @ SY2425 @ SV136 )
              | ( member_c @ ( SV441 @ SY2425 ) @ SV689 ) ) )
        = $false )
      | ( ( member_c_c @ SV441
          @ ( pi_c_c @ SV136
            @ ^ [SY2426: c] : SV689 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2558]) ).

thf(2873,plain,
    ! [SV442: finite1398487019real_c > $o,SV137: finite1398487019real_c > $o] :
      ( ( ( ( SV137 @ ( sK6_SY2016 @ SV442 @ SV137 ) )
          = ( SV442 @ ( sK6_SY2016 @ SV442 @ SV137 ) ) )
        = $false )
      | ( ( ( collec230941376real_c @ SV137 )
          = ( collec230941376real_c @ SV442 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2559]) ).

thf(2874,plain,
    ! [SV443: produc190496183real_c,SV138: produc190496183real_c > $o] :
      ( ( ( ! [SY2659: finite1398487019real_c] : ( SV138 @ ( produc394644079real_c @ ( sK7_SY1355 @ SV443 @ SV138 ) @ SY2659 ) ) )
        = $false )
      | ( ( SV138 @ SV443 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2560]) ).

thf(2875,plain,
    ! [SV874: real > finite1398487019real_c,SV690: set_c,SV444: set_re2066790124real_c,SV139: ( real > finite1398487019real_c ) > c] :
      ( ( ( ~ ( member527957930al_c_c @ SV139
              @ ( pi_rea1228756413al_c_c @ SV444
                @ ^ [SY2428: real > finite1398487019real_c] : SV690 ) ) )
        = $true )
      | ( ( ~ ( member1321351885real_c @ SV874 @ SV444 )
          | ( member_c @ ( SV139 @ SV874 ) @ SV690 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2561]) ).

thf(2876,plain,
    ! [SV691: set_c,SV445: c > c,SV140: c] :
      ( ( ( member_c @ SV140 @ ( image_c_c @ SV445 @ SV691 ) )
        = $false )
      | ( ( ~ ! [SY2429: c] :
                ( ( SV140
                 != ( SV445 @ SY2429 ) )
                | ~ ( member_c @ SY2429 @ SV691 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2562]) ).

thf(2877,plain,
    ! [SV446: finite1398487019real_c > $o,SV141: finite1398487019real_c > $o] :
      ( ( ( ( ord_le1327118209real_c @ ( collec230941376real_c @ SV141 ) @ ( collec230941376real_c @ SV446 ) )
          | ! [SY2024: finite1398487019real_c] :
              ( ~ ( SV141 @ SY2024 )
              | ( SV446 @ SY2024 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le1327118209real_c @ ( collec230941376real_c @ SV141 ) @ ( collec230941376real_c @ SV446 ) )
              | ~ ! [SY2024: finite1398487019real_c] :
                    ( ~ ( SV141 @ SY2024 )
                    | ( SV446 @ SY2024 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2563]) ).

thf(2878,plain,
    ! [SV692: set_c,SV447: c > sum_sum_c_d,SV142: sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ SV142 @ ( image_c_Sum_sum_c_d @ SV447 @ SV692 ) )
        = $false )
      | ( ( ~ ! [SY2430: c] :
                ( ( SV142
                 != ( SV447 @ SY2430 ) )
                | ~ ( member_c @ SY2430 @ SV692 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2564]) ).

thf(2879,plain,
    ! [SV875: real > set_Fi1407883041real_c,SV693: real > finite1398487019real_c,SV448: real > finite1398487019real_c,SV143: set_real] :
      ( ( ( ~ ! [SY2432: real] :
                ( ~ ( member_real @ SY2432 @ SV143 )
                | ( ( SV448 @ SY2432 )
                  = ( SV693 @ SY2432 ) ) ) )
        = $true )
      | ( ( ( member1321351885real_c @ SV448 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) )
          = ( member1321351885real_c @ SV693 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2565]) ).

thf(2880,plain,
    ! [SV694: set_c,SV449: sum_sum_c_d > c,SV144: set_Sum_sum_c_d] :
      ( ( ( ! [SY2433: sum_sum_c_d] :
              ( ~ ( member_Sum_sum_c_d @ SY2433 @ SV144 )
              | ( member_c @ ( SV449 @ SY2433 ) @ SV694 ) ) )
        = $false )
      | ( ( ord_less_eq_set_c @ ( image_Sum_sum_c_d_c @ SV449 @ SV144 ) @ SV694 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2566]) ).

thf(2881,plain,
    ! [SV876: sum_sum_c_c,SV695: sum_sum_c_c > set_Sum_sum_c_d,SV450: set_Sum_sum_c_c,SV145: sum_sum_c_c > sum_sum_c_d] :
      ( ( ( ~ ( member318754689um_c_d @ SV145 @ ( pi_Sum261268376um_c_d @ SV450 @ SV695 ) ) )
        = $true )
      | ( ( ~ ~ ( member_Sum_sum_c_d @ ( SV145 @ SV876 ) @ ( SV695 @ SV876 ) )
          | ~ ( member_Sum_sum_c_c @ SV876 @ SV450 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2567]) ).

thf(2882,plain,
    ! [SV877: real,SV696: real > set_Fi1407883041real_c,SV451: set_real,SV146: real > finite1398487019real_c] :
      ( ( ( ~ ( member1321351885real_c @ SV146 @ ( pi_rea1111636068real_c @ SV451 @ SV696 ) ) )
        = $true )
      | ( ( ~ ~ ( member1261661570real_c @ ( SV146 @ SV877 ) @ ( SV696 @ SV877 ) )
          | ~ ( member_real @ SV877 @ SV451 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2568]) ).

thf(2883,plain,
    ! [SV878: real > finite1398487019real_c,SV697: set_Sum_sum_c_c,SV452: set_re2066790124real_c,SV147: ( real > finite1398487019real_c ) > sum_sum_c_c] :
      ( ( ( ~ ( member354622481um_c_c @ SV147
              @ ( pi_rea1500330408um_c_c @ SV452
                @ ^ [SY2437: real > finite1398487019real_c] : SV697 ) ) )
        = $true )
      | ( ( ~ ( member1321351885real_c @ SV878 @ SV452 )
          | ( member_Sum_sum_c_c @ ( SV147 @ SV878 ) @ SV697 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2569]) ).

thf(2884,plain,
    ! [SV148: produc190496183real_c] :
      ( ( ! [SY2438: finite1398487019real_c] :
            ( SV148
           != ( produc394644079real_c @ ( sK1_SY1386 @ SV148 ) @ SY2438 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2570]) ).

thf(2885,plain,
    ! [SV879: sum_sum_c_d > sum_sum_c_c,SV698: sum_sum_c_c,SV453: set_Sum_sum_c_d,SV149: sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_d @ SV149 @ SV453 ) )
        = $true )
      | ( ( ( SV698
           != ( SV879 @ SV149 ) )
          | ( member_Sum_sum_c_c @ SV698 @ ( image_1558941394um_c_c @ SV879 @ SV453 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2571]) ).

thf(2886,plain,
    ! [SV699: set_Sum_sum_c_d,SV454: set_c,SV150: c > sum_sum_c_d] :
      ( ( ( ~ ( ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV150 @ SV454 ) @ SV699 )
              | ! [SY2440: c] :
                  ( ~ ( member_c @ SY2440 @ SV454 )
                  | ( member_Sum_sum_c_d @ ( SV150 @ SY2440 ) @ SV699 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV150 @ SV454 ) @ SV699 )
              | ~ ! [SY2440: c] :
                    ( ~ ( member_c @ SY2440 @ SV454 )
                    | ( member_Sum_sum_c_d @ ( SV150 @ SY2440 ) @ SV699 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2572]) ).

thf(2887,plain,
    ! [SV880: set_c,SV700: c,SV455: c > sum_sum_c_c,SV151: sum_sum_c_c] :
      ( ( ( SV151
         != ( SV455 @ SV700 ) )
        = $true )
      | ( ( ~ ( member_c @ SV700 @ SV880 )
          | ( member_Sum_sum_c_c @ SV151 @ ( image_c_Sum_sum_c_c @ SV455 @ SV880 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2574]) ).

thf(2888,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ~ ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              = ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
            | ~ ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
                    | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
                | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
                    | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) ) )
        | ~ ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
             != ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
            | ~ ~ ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
                      | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
                  | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
                      | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2575]) ).

thf(2889,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          = ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = ( ~ ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
                  | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
              | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
                  | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2575]) ).

thf(2890,plain,
    ! [SV457: set_Pr1389752855real_c,SV153: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV153 @ SV457 )
        = $true )
      | ( ( member1895684704real_c @ SV153 @ ( uminus232257166real_c @ SV457 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2576]) ).

thf(2891,plain,
    ! [SV882: sum_sum_c_d,SV702: sum_sum_c_d > set_Sum_sum_c_c,SV459: set_Sum_sum_c_d,SV155: sum_sum_c_d > sum_sum_c_c] :
      ( ( ( ~ ( member71251457um_c_c @ SV155 @ ( pi_Sum1145067928um_c_c @ SV459 @ SV702 ) ) )
        = $true )
      | ( ( ~ ~ ( member_Sum_sum_c_c @ ( SV155 @ SV882 ) @ ( SV702 @ SV882 ) )
          | ~ ( member_Sum_sum_c_d @ SV882 @ SV459 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2577]) ).

thf(2892,plain,
    ! [SV703: set_c,SV461: c > c,SV157: set_c] :
      ( ( ( ! [SY2444: c] :
              ( ~ ( member_c @ SY2444 @ SV157 )
              | ( member_c @ ( SV461 @ SY2444 ) @ SV703 ) ) )
        = $false )
      | ( ( ord_less_eq_set_c @ ( image_c_c @ SV461 @ SV157 ) @ SV703 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2578]) ).

thf(2893,plain,
    ! [SV462: produc190496183real_c,SV158: produc190496183real_c] :
      ( ( ( ( ( produc2010422875real_c @ SV158 )
           != ( produc2010422875real_c @ SV462 ) )
          | ( ( produc314122909real_c @ SV158 )
           != ( produc314122909real_c @ SV462 ) ) )
        = $true )
      | ( ( SV158 = SV462 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2579]) ).

thf(2894,plain,
    ! [SV704: set_Sum_sum_c_d,SV463: c > sum_sum_c_d,SV159: set_c] :
      ( ( ( ! [SY2445: c] :
              ( ~ ( member_c @ SY2445 @ SV159 )
              | ( member_Sum_sum_c_d @ ( SV463 @ SY2445 ) @ SV704 ) ) )
        = $false )
      | ( ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV463 @ SV159 ) @ SV704 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2580]) ).

thf(2895,plain,
    ! [SV706: set_Sum_sum_c_c,SV465: set_c,SV161: c > sum_sum_c_c] :
      ( ( ( ~ ( ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV161 @ SV465 ) @ SV706 )
              | ! [SY2448: c] :
                  ( ~ ( member_c @ SY2448 @ SV465 )
                  | ( member_Sum_sum_c_c @ ( SV161 @ SY2448 ) @ SV706 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV161 @ SV465 ) @ SV706 )
              | ~ ! [SY2448: c] :
                    ( ~ ( member_c @ SY2448 @ SV465 )
                    | ( member_Sum_sum_c_c @ ( SV161 @ SY2448 ) @ SV706 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2581]) ).

thf(2896,plain,
    ! [SV707: real > finite1398487019real_c,SV466: set_re2066790124real_c,SV162: set_re2066790124real_c] :
      ( ( ( ord_le35002188real_c @ SV162 @ SV466 )
        = $false )
      | ( ( ~ ( member1321351885real_c @ SV707 @ SV162 )
          | ( member1321351885real_c @ SV707 @ SV466 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2583]) ).

thf(2897,plain,
    ! [SV883: real,SV708: real,SV467: real,SV163: real] :
      ( ( ~ ( ( ( set_or656347191t_real @ SV163 @ SV467 )
              = ( set_or656347191t_real @ SV708 @ SV883 ) )
            | ~ ( ( SV163 != SV708 )
                | ( SV467 != SV883 ) )
            | ~ ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 )
                | ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) ) )
        | ~ ( ( ( set_or656347191t_real @ SV163 @ SV467 )
             != ( set_or656347191t_real @ SV708 @ SV883 ) )
            | ~ ( ~ ( ( SV163 != SV708 )
                    | ( SV467 != SV883 ) )
                | ~ ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 )
                    | ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2584]) ).

thf(2898,plain,
    ! [SV883: real,SV708: real,SV467: real,SV163: real] :
      ( ( ( ( set_or656347191t_real @ SV163 @ SV467 )
          = ( set_or656347191t_real @ SV708 @ SV883 ) )
        = ( ~ ( ( SV163 != SV708 )
              | ( SV467 != SV883 ) )
          | ~ ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 )
              | ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2584]) ).

thf(2899,plain,
    ! [SV468: set_re2066790124real_c,SV164: real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ SV164 @ SV468 )
        = $false )
      | ( ( member1321351885real_c @ SV164 @ ( uminus946614837real_c @ SV468 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2585]) ).

thf(2900,plain,
    ! [SV954: produc190496183real_c,SV884: finite1398487019real_c,SV709: produc190496183real_c,SV469: oDE_a_c,SV165: denota231621370t_unit] :
      ( ( ( ( denota310462944_a_b_c @ SV165 @ SV469 @ SV709 @ SV884 )
         != SV954 )
        | ( SV954
          = ( produc394644079real_c
            @ ( finite557796307c_real
              @ ^ [SY2630: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2630 ) @ ( denota1293057250_a_b_c @ SV165 @ SV469 ) ) @ SV884 @ ( produc2010422875real_c @ SV709 ) ) @ SY2630 ) )
            @ ( finite557796307c_real
              @ ^ [SY2631: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2631 ) @ ( denota1293057250_a_b_c @ SV165 @ SV469 ) ) @ ( denota1275485728_a_b_c @ SV165 @ SV469 @ SV884 ) @ ( produc314122909real_c @ SV709 ) ) @ SY2631 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2586]) ).

thf(2901,plain,
    ! [SV710: produc190496183real_c,SV470: set_Pr1389752855real_c,SV166: set_Pr1389752855real_c] :
      ( ( ( ord_le977353143real_c @ SV166 @ SV470 )
        = $false )
      | ( ( ~ ( member1895684704real_c @ SV710 @ SV166 )
          | ( member1895684704real_c @ SV710 @ SV470 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2587]) ).

thf(2902,plain,
    ! [SV471: produc190496183real_c,SV167: produc190496183real_c] :
      ( ( ( ( produc314122909real_c @ SV167 )
         != ( produc314122909real_c @ SV471 ) )
        = $true )
      | ( ( SV167 = SV471 )
        = $true )
      | ( ( ( produc2010422875real_c @ SV167 )
          = ( produc2010422875real_c @ SV471 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2588]) ).

thf(2903,plain,
    ! [SV712: set_Sum_sum_c_c,SV473: produc190496183real_c,SV169: produc190496183real_c] :
      ( ( ( denota1997846518gree_c @ SV169 @ SV473 @ SV712 )
        = $false )
      | ( ( denota1997846518gree_c @ SV473 @ SV169 @ SV712 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2589]) ).

thf(2904,plain,
    ! [SV713: set_Sum_sum_c_d,SV474: sum_sum_c_d > sum_sum_c_d,SV170: set_Sum_sum_c_d] :
      ( ( ( ! [SY2456: sum_sum_c_d] :
              ( ~ ( member_Sum_sum_c_d @ SY2456 @ SV170 )
              | ( member_Sum_sum_c_d @ ( SV474 @ SY2456 ) @ SV713 ) ) )
        = $false )
      | ( ( ord_le764260924um_c_d @ ( image_1567202899um_c_d @ SV474 @ SV170 ) @ SV713 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2590]) ).

thf(2905,plain,
    ! [SV885: sum_sum_c_d,SV714: sum_sum_c_d > set_c,SV475: set_Sum_sum_c_d,SV171: sum_sum_c_d > c] :
      ( ( ( ~ ( member_Sum_sum_c_d_c @ SV171 @ ( pi_Sum_sum_c_d_c @ SV475 @ SV714 ) ) )
        = $true )
      | ( ( ~ ( member_Sum_sum_c_d @ SV885 @ SV475 )
          | ( member_c @ ( SV171 @ SV885 ) @ ( SV714 @ SV885 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2591]) ).

thf(2906,plain,
    ! [SV715: c,SV476: set_c,SV172: set_c] :
      ( ( ( ord_less_eq_set_c @ SV172 @ SV476 )
        = $false )
      | ( ( ~ ( member_c @ SV715 @ SV172 )
          | ( member_c @ SV715 @ SV476 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2592]) ).

thf(2907,plain,
    ! [SV173: real] :
      ( ( ( ord_less_eq_real @ SV173 @ t )
        = $false )
      | ( ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ SV173 ) ) @ ( denota968303861_a_b_c @ i @ phi ) )
        = $true )
      | ( ( ord_less_eq_real @ zero_zero_real @ SV173 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2593]) ).

thf(2908,plain,
    ! [SV716: sum_sum_c_c > sum_sum_c_d,SV477: set_Sum_sum_c_c,SV174: sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ SV174 @ SV477 )
        = $false )
      | ( ( member_Sum_sum_c_d @ ( SV716 @ SV174 ) @ ( image_675141842um_c_d @ SV716 @ SV477 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2594]) ).

thf(2909,plain,
    ! [SV717: set_Sum_sum_c_c,SV478: sum_sum_c_c > sum_sum_c_c,SV175: set_Sum_sum_c_c] :
      ( ( ( ! [SY2458: sum_sum_c_c] :
              ( ~ ( member_Sum_sum_c_c @ SY2458 @ SV175 )
              | ( member_Sum_sum_c_c @ ( SV478 @ SY2458 ) @ SV717 ) ) )
        = $false )
      | ( ( member1326674048um_c_c @ SV478
          @ ( pi_Sum253006871um_c_c @ SV175
            @ ^ [SY2459: sum_sum_c_c] : SV717 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2595]) ).

thf(2910,plain,
    ! [SV479: set_Sum_sum_c_d,SV176: sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ SV176 @ SV479 )
        = $false )
      | ( ( member_Sum_sum_c_d @ SV176 @ ( uminus373867045um_c_d @ SV479 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2596]) ).

thf(2911,plain,
    ! [SV718: real > set_Fi1407883041real_c,SV480: real > finite1398487019real_c,SV177: set_real] :
      ( ( ( ! [SY2460: real] :
              ( ~ ( member_real @ SY2460 @ SV177 )
              | ( member1261661570real_c @ ( SV480 @ SY2460 ) @ ( SV718 @ SY2460 ) ) ) )
        = $false )
      | ( ( member1321351885real_c @ SV480 @ ( pi_rea1111636068real_c @ SV177 @ SV718 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2597]) ).

thf(2912,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c] :
      ( ( ! [SV955: set_Sum_sum_c_c] :
            ( ( denota1997846518gree_c @ SV481 @ SV886 @ SV955 )
            = ( ~ ( ~ ! [SY2662: c] :
                        ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2662 ) @ SV955 )
                        | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2662 )
                          = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2662 ) ) )
                  | ~ ! [SY2663: c] :
                        ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2663 ) @ SV955 )
                        | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2663 )
                          = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2663 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2598]) ).

thf(2913,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c] :
      ( ( ( denota1997846518gree_c @ SV481 @ SV886 )
        = ( ^ [SY2632: set_Sum_sum_c_c] :
              ~ ( ~ ! [SY2633: c] :
                      ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2633 ) @ SY2632 )
                      | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2633 )
                        = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2633 ) ) )
                | ~ ! [SY2634: c] :
                      ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2634 ) @ SY2632 )
                      | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2634 )
                        = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2634 ) ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2598]) ).

thf(2914,plain,
    ! [SV482: set_Sum_sum_c_c,SV179: sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ SV179 @ SV482 )
        = $false )
      | ( ( member_Sum_sum_c_c @ SV179 @ ( uminus1381786404um_c_c @ SV482 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2599]) ).

thf(2915,plain,
    ( ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $false )
    | ( ( ~ ( ~ ( ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
                | ( ( finite772340578real_c
                    @ ( produc2010422875real_c
                      @ ( denota161327353_a_b_c @ i @ oDEa
                        @ ( produc394644079real_c
                          @ ( finite557796307c_real
                            @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                          @ bb )
                        @ ( finite557796307c_real
                          @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
                    @ i2 )
                  = ( finite772340578real_c @ ( sol @ x ) @ i2 ) ) )
            | ~ ( ~ ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
                | ( ( finite772340578real_c
                    @ ( produc2010422875real_c
                      @ ( denota161327353_a_b_c @ i @ oDEa
                        @ ( produc394644079real_c
                          @ ( finite557796307c_real
                            @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                          @ bb )
                        @ ( finite557796307c_real
                          @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
                    @ i2 )
                  = ( finite772340578real_c @ ab @ i2 ) ) ) ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2600]) ).

thf(2916,plain,
    ( ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $false )
    | ( ( ~ ( ~ ( ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
                | ( ( finite772340578real_c
                    @ ( produc2010422875real_c
                      @ ( denota161327353_a_b_c @ i @ oDEa
                        @ ( produc394644079real_c
                          @ ( finite557796307c_real
                            @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                          @ bb )
                        @ ( finite557796307c_real
                          @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
                    @ i2 )
                  = ( finite772340578real_c @ ( sol @ x ) @ i2 ) ) )
            | ~ ( ~ ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
                | ( ( finite772340578real_c
                    @ ( produc2010422875real_c
                      @ ( denota161327353_a_b_c @ i @ oDEa
                        @ ( produc394644079real_c
                          @ ( finite557796307c_real
                            @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                          @ bb )
                        @ ( finite557796307c_real
                          @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
                    @ i2 )
                  = ( finite772340578real_c @ ab @ i2 ) ) ) ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2601]) ).

thf(2917,plain,
    ! [SV720: c > set_c,SV483: c > c,SV180: set_c] :
      ( ( ( ! [SY2464: c] :
              ( ~ ( member_c @ SY2464 @ SV180 )
              | ( member_c @ ( SV483 @ SY2464 ) @ ( SV720 @ SY2464 ) ) ) )
        = $false )
      | ( ( member_c_c @ SV483 @ ( pi_c_c @ SV180 @ SV720 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2602]) ).

thf(2918,plain,
    ! [SV721: set_c,SV484: c > sum_sum_c_c,SV181: set_Sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ SV181 @ ( image_c_Sum_sum_c_c @ SV484 @ SV721 ) )
        = $false )
      | ( ( ~ ! [SY2465: set_c] :
                ( ~ ( ord_less_eq_set_c @ SY2465 @ SV721 )
                | ( SV181
                 != ( image_c_Sum_sum_c_c @ SV484 @ SY2465 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2603]) ).

thf(2919,plain,
    ! [SV722: set_Sum_sum_c_c,SV485: sum_sum_c_d > sum_sum_c_c,SV182: set_Sum_sum_c_d] :
      ( ( ( ! [SY2466: sum_sum_c_d] :
              ( ~ ( member_Sum_sum_c_d @ SY2466 @ SV182 )
              | ( member_Sum_sum_c_c @ ( SV485 @ SY2466 ) @ SV722 ) ) )
        = $false )
      | ( ( member71251457um_c_c @ SV485
          @ ( pi_Sum1145067928um_c_c @ SV182
            @ ^ [SY2467: sum_sum_c_d] : SV722 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2604]) ).

thf(2920,plain,
    ! [SV723: real > finite1398487019real_c,SV486: set_re2066790124real_c,SV183: set_re2066790124real_c] :
      ( ( ( ord_le35002188real_c @ SV183 @ SV486 )
        = $false )
      | ( ( ~ ( member1321351885real_c @ SV723 @ SV183 )
          | ( member1321351885real_c @ SV723 @ SV486 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2605]) ).

thf(2921,plain,
    ! [SV887: finite1398487019real_c,SV724: finite1398487019real_c,SV487: finite1398487019real_c,SV184: finite1398487019real_c] :
      ( ( ~ ( ( ( produc394644079real_c @ SV184 @ SV487 )
              = ( produc394644079real_c @ SV724 @ SV887 ) )
            | ~ ( ( SV184 != SV724 )
                | ( SV487 != SV887 ) ) )
        | ~ ( ( ( produc394644079real_c @ SV184 @ SV487 )
             != ( produc394644079real_c @ SV724 @ SV887 ) )
            | ~ ~ ( ( SV184 != SV724 )
                  | ( SV487 != SV887 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2606]) ).

thf(2922,plain,
    ! [SV887: finite1398487019real_c,SV724: finite1398487019real_c,SV487: finite1398487019real_c,SV184: finite1398487019real_c] :
      ( ( ( ( produc394644079real_c @ SV184 @ SV487 )
          = ( produc394644079real_c @ SV724 @ SV887 ) )
        = ( ~ ( ( SV184 != SV724 )
              | ( SV487 != SV887 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2606]) ).

thf(2923,plain,
    ! [SV725: finite1398487019real_c,SV488: finite1398487019real_c,SV185: finite1398487019real_c] :
      ( ( ( ( produc314122909real_c @ ( produc394644079real_c @ SV185 @ SV488 ) )
          = SV725 )
        = $false )
      | ( ( SV488 = SV725 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2607]) ).

thf(2924,plain,
    ! [SV726: sum_sum_c_c > set_Sum_sum_c_d,SV489: sum_sum_c_c > sum_sum_c_d,SV186: set_Sum_sum_c_c] :
      ( ( ( ! [SY2469: sum_sum_c_c] :
              ( ~ ( member_Sum_sum_c_c @ SY2469 @ SV186 )
              | ( member_Sum_sum_c_d @ ( SV489 @ SY2469 ) @ ( SV726 @ SY2469 ) ) ) )
        = $false )
      | ( ( member318754689um_c_d @ SV489 @ ( pi_Sum261268376um_c_d @ SV186 @ SV726 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2608]) ).

thf(2925,plain,
    ! [SV888: finite1398487019real_c,SV727: produc190496183real_c,SV491: oDE_a_c,SV188: denota231621370t_unit] :
      ( ( ~ ( denota1997846518gree_c @ ( denota161327353_a_b_c @ SV188 @ SV491 @ SV727 @ SV888 ) @ SV727 @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ SV188 @ SV491 ) ) )
        | ~ ( denota1997846518gree_c @ ( denota161327353_a_b_c @ SV188 @ SV491 @ SV727 @ SV888 ) @ ( denota1896987029_a_b_c @ SV188 @ SV491 @ SV888 ) @ ( denota1293057250_a_b_c @ SV188 @ SV491 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2610]) ).

thf(2926,plain,
    ! [SV728: oDE_a_c,SV492: denota231621370t_unit,SV189: c] :
      ( ( ( member_c @ SV189 @ ( denota540094197_a_b_c @ SV492 @ SV728 ) )
        = $false )
      | ( ( member_c @ SV189 @ ( static_FVO_a_c @ SV728 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2611]) ).

thf(2927,plain,
    ! [SV493: set_re2066790124real_c,SV190: real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ SV190 @ SV493 )
        = $true )
      | ( ( member1321351885real_c @ SV190 @ ( uminus946614837real_c @ SV493 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2612]) ).

thf(2928,plain,
    ! [SV889: set_Sum_sum_c_c,SV494: set_Sum_sum_c_c] :
      ( ( ~ ( ( ord_le1772180283um_c_c @ SV494 @ SV889 )
            | ! [SY2635: sum_sum_c_c] :
                ( ~ ( member_Sum_sum_c_c @ SY2635 @ SV494 )
                | ( member_Sum_sum_c_c @ SY2635 @ SV889 ) ) )
        | ~ ( ~ ( ord_le1772180283um_c_c @ SV494 @ SV889 )
            | ~ ! [SY2635: sum_sum_c_c] :
                  ( ~ ( member_Sum_sum_c_c @ SY2635 @ SV494 )
                  | ( member_Sum_sum_c_c @ SY2635 @ SV889 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2613]) ).

thf(2929,plain,
    ! [SV889: set_Sum_sum_c_c,SV494: set_Sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ SV494 @ SV889 )
        = ( ! [SY2635: sum_sum_c_c] :
              ( ~ ( member_Sum_sum_c_c @ SY2635 @ SV494 )
              | ( member_Sum_sum_c_c @ SY2635 @ SV889 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2613]) ).

thf(2930,plain,
    ! [SV890: sum_sum_c_c > c,SV730: c,SV496: set_Sum_sum_c_c,SV193: sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ SV193 @ SV496 ) )
        = $true )
      | ( ( ( SV730
           != ( SV890 @ SV193 ) )
          | ( member_c @ SV730 @ ( image_Sum_sum_c_c_c @ SV890 @ SV496 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2614]) ).

thf(2931,plain,
    ! [SV731: set_c,SV497: sum_sum_c_c > c,SV194: set_Sum_sum_c_c] :
      ( ( ( ! [SY2473: sum_sum_c_c] :
              ( ~ ( member_Sum_sum_c_c @ SY2473 @ SV194 )
              | ( member_c @ ( SV497 @ SY2473 ) @ SV731 ) ) )
        = $false )
      | ( ( ord_less_eq_set_c @ ( image_Sum_sum_c_c_c @ SV497 @ SV194 ) @ SV731 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2615]) ).

thf(2932,plain,
    ! [SV891: finite1398487019real_c,SV732: finite1398487019real_c,SV498: finite1398487019real_c,SV195: finite1398487019real_c] :
      ( ( ( ~ ( ord_le775706699real_c @ SV195 @ SV498 ) )
        = $true )
      | ( ( ~ ( ord_le775706699real_c @ SV732 @ SV891 )
          | ( ord_le850691415real_c @ ( produc394644079real_c @ SV195 @ SV732 ) @ ( produc394644079real_c @ SV498 @ SV891 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2616]) ).

thf(2933,plain,
    ! [SV733: set_Sum_sum_c_d,SV499: sum_sum_c_d > sum_sum_c_c,SV196: sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ SV196 @ ( image_1558941394um_c_c @ SV499 @ SV733 ) )
        = $false )
      | ( ( ~ ! [SY2475: sum_sum_c_d] :
                ( ( SV196
                 != ( SV499 @ SY2475 ) )
                | ~ ( member_Sum_sum_c_d @ SY2475 @ SV733 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2617]) ).

thf(2934,plain,
    ! [SV734: c > set_re2066790124real_c,SV500: c > real > finite1398487019real_c,SV197: set_c] :
      ( ( ( ! [SY2476: c] :
              ( ~ ( member_c @ SY2476 @ SV197 )
              | ( member1321351885real_c @ ( SV500 @ SY2476 ) @ ( SV734 @ SY2476 ) ) ) )
        = $false )
      | ( ( member469531344real_c @ SV500 @ ( pi_c_r41638571real_c @ SV197 @ SV734 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2618]) ).

thf(2935,plain,
    ! [SV892: set_Sum_sum_c_c,SV501: set_Sum_sum_c_c] :
      ( ( ~ ( ( ord_le1772180283um_c_c @ SV501 @ SV892 )
            | ! [SY2636: sum_sum_c_c] :
                ( ~ ( member_Sum_sum_c_c @ SY2636 @ SV501 )
                | ( member_Sum_sum_c_c @ SY2636 @ SV892 ) ) )
        | ~ ( ~ ( ord_le1772180283um_c_c @ SV501 @ SV892 )
            | ~ ! [SY2636: sum_sum_c_c] :
                  ( ~ ( member_Sum_sum_c_c @ SY2636 @ SV501 )
                  | ( member_Sum_sum_c_c @ SY2636 @ SV892 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2619]) ).

thf(2936,plain,
    ! [SV892: set_Sum_sum_c_c,SV501: set_Sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ SV501 @ SV892 )
        = ( ! [SY2636: sum_sum_c_c] :
              ( ~ ( member_Sum_sum_c_c @ SY2636 @ SV501 )
              | ( member_Sum_sum_c_c @ SY2636 @ SV892 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2619]) ).

thf(2937,plain,
    ! [SV199: set_c,SV502: set_c] :
      ( ( ( ~ ( member_c @ ( sK8_SY2117 @ SV502 @ SV199 ) @ SV199 )
          | ( member_c @ ( sK8_SY2117 @ SV502 @ SV199 ) @ SV502 ) )
        = $false )
      | ( ( ord_less_eq_set_c @ SV199 @ SV502 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2620]) ).

thf(2938,plain,
    ! [SV893: sum_sum_c_d,SV736: sum_sum_c_d > set_c,SV503: set_Sum_sum_c_d,SV200: sum_sum_c_d > c] :
      ( ( ( ~ ( member_Sum_sum_c_d_c @ SV200 @ ( pi_Sum_sum_c_d_c @ SV503 @ SV736 ) ) )
        = $true )
      | ( ( ~ ~ ( member_c @ ( SV200 @ SV893 ) @ ( SV736 @ SV893 ) )
          | ~ ( member_Sum_sum_c_d @ SV893 @ SV503 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2621]) ).

thf(2939,plain,
    ! [SV505: set_Pr1389752855real_c,SV202: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV202 @ SV505 )
        = $false )
      | ( ( member1895684704real_c @ SV202 @ ( uminus232257166real_c @ SV505 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2623]) ).

thf(2940,plain,
    ! [SV894: real,SV737: real > set_Fi1407883041real_c,SV506: set_real,SV203: real > finite1398487019real_c] :
      ( ( ( ~ ( member1321351885real_c @ SV203 @ ( pi_rea1111636068real_c @ SV506 @ SV737 ) ) )
        = $true )
      | ( ( ~ ( member_real @ SV894 @ SV506 )
          | ( member1261661570real_c @ ( SV203 @ SV894 ) @ ( SV737 @ SV894 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2624]) ).

thf(2941,plain,
    ! [SV895: produc190496183real_c,SV738: produc190496183real_c,SV507: set_Sum_sum_c_c,SV204: set_Sum_sum_c_c] :
      ( ( ( ~ ( ord_le1772180283um_c_c @ SV204 @ SV507 ) )
        = $true )
      | ( ( ~ ( denota1997846518gree_c @ SV738 @ SV895 @ SV507 )
          | ( denota1997846518gree_c @ SV738 @ SV895 @ SV204 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2625]) ).

thf(2942,plain,
    ! [SV896: c,SV739: c > set_re2066790124real_c,SV508: set_c,SV205: c > real > finite1398487019real_c] :
      ( ( ( ~ ( member469531344real_c @ SV205 @ ( pi_c_r41638571real_c @ SV508 @ SV739 ) ) )
        = $true )
      | ( ( ~ ( member_c @ SV896 @ SV508 )
          | ( member1321351885real_c @ ( SV205 @ SV896 ) @ ( SV739 @ SV896 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2626]) ).

thf(2943,plain,
    ! [SV897: c > sum_sum_c_c,SV740: sum_sum_c_c,SV509: set_c,SV206: c] :
      ( ( ( ~ ( member_c @ SV206 @ SV509 ) )
        = $true )
      | ( ( ( SV740
           != ( SV897 @ SV206 ) )
          | ( member_Sum_sum_c_c @ SV740 @ ( image_c_Sum_sum_c_c @ SV897 @ SV509 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2627]) ).

thf(2944,plain,
    ! [SV510: finite1398487019real_c > $o,SV207: finite1398487019real_c > $o] :
      ( ( ( ~ ( SV207 @ ( sK9_SY2128 @ SV510 @ SV207 ) )
          | ( SV510 @ ( sK9_SY2128 @ SV510 @ SV207 ) ) )
        = $false )
      | ( ( ord_le1327118209real_c @ ( collec230941376real_c @ SV207 ) @ ( collec230941376real_c @ SV510 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2628]) ).

thf(2945,plain,
    ! [SV898: set_Sum_sum_c_d,SV741: sum_sum_c_d,SV511: sum_sum_c_d > sum_sum_c_d,SV208: sum_sum_c_d] :
      ( ( ( SV208
         != ( SV511 @ SV741 ) )
        = $true )
      | ( ( ~ ( member_Sum_sum_c_d @ SV741 @ SV898 )
          | ( member_Sum_sum_c_d @ SV208 @ ( image_1567202899um_c_d @ SV511 @ SV898 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2629]) ).

thf(2946,plain,
    ! [SV742: set_c,SV512: sum_sum_c_c > c,SV209: set_Sum_sum_c_c] :
      ( ( ( ! [SY2484: sum_sum_c_c] :
              ( ~ ( member_Sum_sum_c_c @ SY2484 @ SV209 )
              | ( member_c @ ( SV512 @ SY2484 ) @ SV742 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c_c @ SV512
          @ ( pi_Sum_sum_c_c_c @ SV209
            @ ^ [SY2485: sum_sum_c_c] : SV742 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2630]) ).

thf(2947,plain,
    ! [SV899: set_c,SV514: set_c] :
      ( ( ~ ( ( ord_less_eq_set_c @ SV514 @ SV899 )
            | ! [SY2637: c] :
                ( ~ ( member_c @ SY2637 @ SV514 )
                | ( member_c @ SY2637 @ SV899 ) ) )
        | ~ ( ~ ( ord_less_eq_set_c @ SV514 @ SV899 )
            | ~ ! [SY2637: c] :
                  ( ~ ( member_c @ SY2637 @ SV514 )
                  | ( member_c @ SY2637 @ SV899 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2631]) ).

thf(2948,plain,
    ! [SV899: set_c,SV514: set_c] :
      ( ( ( ord_less_eq_set_c @ SV514 @ SV899 )
        = ( ! [SY2637: c] :
              ( ~ ( member_c @ SY2637 @ SV514 )
              | ( member_c @ SY2637 @ SV899 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2631]) ).

thf(2949,plain,
    ! [SV745: real > finite1398487019real_c,SV515: real > finite1398487019real_c,SV212: real > finite1398487019real_c] :
      ( ( ( ~ ( ( member1321351885real_c @ SV212 @ ( set_or1308937537real_c @ SV515 @ SV745 ) )
              | ~ ( ~ ( ord_le584953750real_c @ SV515 @ SV212 )
                  | ~ ( ord_le584953750real_c @ SV212 @ SV745 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( member1321351885real_c @ SV212 @ ( set_or1308937537real_c @ SV515 @ SV745 ) )
              | ~ ~ ( ~ ( ord_le584953750real_c @ SV515 @ SV212 )
                    | ~ ( ord_le584953750real_c @ SV212 @ SV745 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2632]) ).

thf(2950,plain,
    ! [SV746: sum_sum_c_d > $o,SV516: set_c,SV213: c > sum_sum_c_d] :
      ( ( ( ! [SY2489: sum_sum_c_d] :
              ( ~ ( member_Sum_sum_c_d @ SY2489 @ ( image_c_Sum_sum_c_d @ SV213 @ SV516 ) )
              | ( SV746 @ SY2489 ) ) )
        = $false )
      | ( ( ! [SY2490: c] :
              ( ~ ( member_c @ SY2490 @ SV516 )
              | ( SV746 @ ( SV213 @ SY2490 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2634]) ).

thf(2951,plain,
    ! [SV747: set_c,SV517: c > sum_sum_c_c,SV214: sum_sum_c_c] :
      ( ( ( ~ ( ( member_Sum_sum_c_c @ SV214 @ ( image_c_Sum_sum_c_c @ SV517 @ SV747 ) )
              | ~ ! [SY2491: c] :
                    ~ ~ ( ~ ( member_c @ SY2491 @ SV747 )
                        | ( SV214
                         != ( SV517 @ SY2491 ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( member_Sum_sum_c_c @ SV214 @ ( image_c_Sum_sum_c_c @ SV517 @ SV747 ) )
              | ~ ~ ! [SY2491: c] :
                      ~ ~ ( ~ ( member_c @ SY2491 @ SV747 )
                          | ( SV214
                           != ( SV517 @ SY2491 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2635]) ).

thf(2952,plain,
    ! [SV900: c,SV748: c > set_c,SV518: set_c,SV215: c > c] :
      ( ( ( ~ ( member_c_c @ SV215 @ ( pi_c_c @ SV518 @ SV748 ) ) )
        = $true )
      | ( ( ~ ( member_c @ SV900 @ SV518 )
          | ( member_c @ ( SV215 @ SV900 ) @ ( SV748 @ SV900 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2637]) ).

thf(2953,plain,
    ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) ) )
      = $false )
    | ( ( ~ ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) ) )
      = $true )
    | ( ( ~ ( ~ ( ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
                | ( ( finite772340578real_c
                    @ ( produc2010422875real_c
                      @ ( denota161327353_a_b_c @ i @ oDEa
                        @ ( produc394644079real_c
                          @ ( finite557796307c_real
                            @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                          @ bb )
                        @ ( finite557796307c_real
                          @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
                    @ i2 )
                  = ( finite772340578real_c @ ( sol @ zero_zero_real ) @ i2 ) ) )
            | ~ ( ~ ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
                | ( ( finite772340578real_c
                    @ ( produc2010422875real_c
                      @ ( denota161327353_a_b_c @ i @ oDEa
                        @ ( produc394644079real_c
                          @ ( finite557796307c_real
                            @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                          @ bb )
                        @ ( finite557796307c_real
                          @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
                    @ i2 )
                  = ( finite772340578real_c @ ab @ i2 ) ) ) ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2638]) ).

thf(2954,plain,
    ! [SV749: sum_sum_c_c > set_Sum_sum_c_c,SV519: sum_sum_c_c > sum_sum_c_c,SV216: set_Sum_sum_c_c] :
      ( ( ( ! [SY2493: sum_sum_c_c] :
              ( ~ ( member_Sum_sum_c_c @ SY2493 @ SV216 )
              | ( member_Sum_sum_c_c @ ( SV519 @ SY2493 ) @ ( SV749 @ SY2493 ) ) ) )
        = $false )
      | ( ( member1326674048um_c_c @ SV519 @ ( pi_Sum253006871um_c_c @ SV216 @ SV749 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2639]) ).

thf(2955,plain,
    ! [SV750: c > c,SV520: set_c,SV217: c] :
      ( ( ( member_c @ SV217 @ SV520 )
        = $false )
      | ( ( member_c @ ( SV750 @ SV217 ) @ ( image_c_c @ SV750 @ SV520 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2640]) ).

thf(2956,plain,
    ! [SV751: real > set_Fi1407883041real_c,SV521: real > finite1398487019real_c,SV218: set_real] :
      ( ( ( ! [SY2494: real] :
              ( ~ ( member_real @ SY2494 @ SV218 )
              | ( member1261661570real_c @ ( SV521 @ SY2494 ) @ ( SV751 @ SY2494 ) ) ) )
        = $false )
      | ( ( member1321351885real_c @ SV521 @ ( pi_rea1111636068real_c @ SV218 @ SV751 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2641]) ).

thf(2957,plain,
    ! [SV901: set_Sum_sum_c_d,SV752: sum_sum_c_d,SV522: sum_sum_c_d > sum_sum_c_c,SV219: sum_sum_c_c] :
      ( ( ( SV219
         != ( SV522 @ SV752 ) )
        = $true )
      | ( ( ~ ( member_Sum_sum_c_d @ SV752 @ SV901 )
          | ( member_Sum_sum_c_c @ SV219 @ ( image_1558941394um_c_c @ SV522 @ SV901 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2642]) ).

thf(2958,plain,
    ! [SV902: sum_sum_c_c > sum_sum_c_c,SV753: sum_sum_c_c,SV523: set_Sum_sum_c_c,SV220: sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ SV220 @ SV523 ) )
        = $true )
      | ( ( ( SV753
           != ( SV902 @ SV220 ) )
          | ( member_Sum_sum_c_c @ SV753 @ ( image_666880337um_c_c @ SV902 @ SV523 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2643]) ).

thf(2959,plain,
    ! [SV903: c > sum_sum_c_c,SV754: c > sum_sum_c_c,SV524: set_c,SV221: set_c] :
      ( ( ( SV221 != SV524 )
        = $true )
      | ( ( ~ ! [SY2638: c] :
                ( ~ ( member_c @ SY2638 @ SV524 )
                | ( ( SV754 @ SY2638 )
                  = ( SV903 @ SY2638 ) ) )
          | ( ( image_c_Sum_sum_c_c @ SV754 @ SV221 )
            = ( image_c_Sum_sum_c_c @ SV903 @ SV524 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2644]) ).

thf(2960,plain,
    ! [SV904: finite1398487019real_c,SV755: finite1398487019real_c,SV525: set_c,SV222: set_c] :
      ( ( ( ~ ( ord_less_eq_set_c @ SV222 @ SV525 ) )
        = $true )
      | ( ( ~ ( denota256060419gree_c @ SV755 @ SV904 @ SV525 )
          | ( denota256060419gree_c @ SV755 @ SV904 @ SV222 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2645]) ).

thf(2961,plain,
    ! [SV756: set_c,SV526: c > sum_sum_c_c,SV223: sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ SV223 @ ( image_c_Sum_sum_c_c @ SV526 @ SV756 ) )
        = $false )
      | ( ( ~ ! [SY2500: c] :
                ( ( SV223
                 != ( SV526 @ SY2500 ) )
                | ~ ( member_c @ SY2500 @ SV756 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2646]) ).

thf(2962,plain,
    ! [SV757: c > sum_sum_c_c,SV527: set_c,SV224: c] :
      ( ( ( member_c @ SV224 @ SV527 )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( SV757 @ SV224 ) @ ( image_c_Sum_sum_c_c @ SV757 @ SV527 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2647]) ).

thf(2963,plain,
    ! [SV905: sum_sum_c_c,SV758: sum_sum_c_c > set_Sum_sum_c_c,SV528: set_Sum_sum_c_c,SV225: sum_sum_c_c > sum_sum_c_c] :
      ( ( ( ~ ( member1326674048um_c_c @ SV225 @ ( pi_Sum253006871um_c_c @ SV528 @ SV758 ) ) )
        = $true )
      | ( ( ~ ( member_Sum_sum_c_c @ SV905 @ SV528 )
          | ( member_Sum_sum_c_c @ ( SV225 @ SV905 ) @ ( SV758 @ SV905 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2648]) ).

thf(2964,plain,
    ! [SV759: sum_sum_c_c,SV529: set_Sum_sum_c_c,SV226: set_Sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ SV226 @ SV529 )
        = $false )
      | ( ( ~ ( member_Sum_sum_c_c @ SV759 @ SV226 )
          | ( member_Sum_sum_c_c @ SV759 @ SV529 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2649]) ).

thf(2965,plain,
    ! [SV906: real,SV760: real,SV530: real,SV227: real] :
      ( ( ~ ( ( ord_le1342644953l_real @ ( produc705216881l_real @ SV227 @ SV530 ) @ ( produc705216881l_real @ SV760 @ SV906 ) )
            | ~ ( ~ ( ord_less_eq_real @ SV227 @ SV760 )
                | ~ ( ord_less_eq_real @ SV530 @ SV906 ) ) )
        | ~ ( ~ ( ord_le1342644953l_real @ ( produc705216881l_real @ SV227 @ SV530 ) @ ( produc705216881l_real @ SV760 @ SV906 ) )
            | ~ ~ ( ~ ( ord_less_eq_real @ SV227 @ SV760 )
                  | ~ ( ord_less_eq_real @ SV530 @ SV906 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2650]) ).

thf(2966,plain,
    ! [SV906: real,SV760: real,SV530: real,SV227: real] :
      ( ( ( ord_le1342644953l_real @ ( produc705216881l_real @ SV227 @ SV530 ) @ ( produc705216881l_real @ SV760 @ SV906 ) )
        = ( ~ ( ~ ( ord_less_eq_real @ SV227 @ SV760 )
              | ~ ( ord_less_eq_real @ SV530 @ SV906 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2650]) ).

thf(2967,plain,
    ! [SV531: set_c,SV228: c] :
      ( ( ( member_c @ SV228 @ SV531 )
        = $true )
      | ( ( member_c @ SV228 @ ( uminus_uminus_set_c @ SV531 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2651]) ).

thf(2968,plain,
    ! [SV907: real,SV761: real,SV532: real,SV229: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV229 @ SV532 ) )
        = $true )
      | ( ( ~ ( ord_less_eq_real @ SV761 @ SV907 )
          | ( ord_le1342644953l_real @ ( produc705216881l_real @ SV229 @ SV761 ) @ ( produc705216881l_real @ SV532 @ SV907 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2652]) ).

thf(2969,plain,
    ! [SV762: set_c,SV533: c > sum_sum_c_d,SV230: set_Sum_sum_c_d] :
      ( ( ( ord_le764260924um_c_d @ SV230 @ ( image_c_Sum_sum_c_d @ SV533 @ SV762 ) )
        = $false )
      | ( ( ~ ! [SY2504: set_c] :
                ( ~ ( ord_less_eq_set_c @ SY2504 @ SV762 )
                | ( SV230
                 != ( image_c_Sum_sum_c_d @ SV533 @ SY2504 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2653]) ).

thf(2970,plain,
    ! [SV908: set_Sum_sum_c_d,SV534: set_Sum_sum_c_d] :
      ( ( ~ ( ( ord_le764260924um_c_d @ SV534 @ SV908 )
            | ! [SY2639: sum_sum_c_d] :
                ( ~ ( member_Sum_sum_c_d @ SY2639 @ SV534 )
                | ( member_Sum_sum_c_d @ SY2639 @ SV908 ) ) )
        | ~ ( ~ ( ord_le764260924um_c_d @ SV534 @ SV908 )
            | ~ ! [SY2639: sum_sum_c_d] :
                  ( ~ ( member_Sum_sum_c_d @ SY2639 @ SV534 )
                  | ( member_Sum_sum_c_d @ SY2639 @ SV908 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2654]) ).

thf(2971,plain,
    ! [SV908: set_Sum_sum_c_d,SV534: set_Sum_sum_c_d] :
      ( ( ( ord_le764260924um_c_d @ SV534 @ SV908 )
        = ( ! [SY2639: sum_sum_c_d] :
              ( ~ ( member_Sum_sum_c_d @ SY2639 @ SV534 )
              | ( member_Sum_sum_c_d @ SY2639 @ SV908 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2654]) ).

thf(2972,plain,
    ! [SV909: set_c,SV536: set_c] :
      ( ( ~ ( ( ord_less_eq_set_c @ SV536 @ SV909 )
            | ! [SY2640: c] :
                ( ~ ( member_c @ SY2640 @ SV536 )
                | ( member_c @ SY2640 @ SV909 ) ) )
        | ~ ( ~ ( ord_less_eq_set_c @ SV536 @ SV909 )
            | ~ ! [SY2640: c] :
                  ( ~ ( member_c @ SY2640 @ SV536 )
                  | ( member_c @ SY2640 @ SV909 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2655]) ).

thf(2973,plain,
    ! [SV909: set_c,SV536: set_c] :
      ( ( ( ord_less_eq_set_c @ SV536 @ SV909 )
        = ( ! [SY2640: c] :
              ( ~ ( member_c @ SY2640 @ SV536 )
              | ( member_c @ SY2640 @ SV909 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2655]) ).

thf(2974,plain,
    ! [SV766: set_re2066790124real_c,SV537: ( real > finite1398487019real_c ) > c,SV234: c] :
      ( ( ( member_c @ SV234 @ ( image_266490115al_c_c @ SV537 @ SV766 ) )
        = $false )
      | ( ( ~ ! [SY2509: real > finite1398487019real_c] :
                ( ( SV234
                 != ( SV537 @ SY2509 ) )
                | ~ ( member1321351885real_c @ SY2509 @ SV766 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2656]) ).

thf(2975,plain,
    ! [SV767: sum_sum_c_c > $o,SV538: set_c,SV235: c > sum_sum_c_c] :
      ( ( ( ~ ! [SY2510: sum_sum_c_c] :
                ~ ~ ( ~ ( member_Sum_sum_c_c @ SY2510 @ ( image_c_Sum_sum_c_c @ SV235 @ SV538 ) )
                    | ~ ( SV767 @ SY2510 ) ) )
        = $false )
      | ( ( ~ ! [SY2511: c] :
                ~ ~ ( ~ ( member_c @ SY2511 @ SV538 )
                    | ~ ( SV767 @ ( SV235 @ SY2511 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2657]) ).

thf(2976,plain,
    ! [SV768: c > set_Sum_sum_c_d,SV540: c > sum_sum_c_d,SV237: set_c] :
      ( ( ( ! [SY2512: c] :
              ( ~ ( member_c @ SY2512 @ SV237 )
              | ( member_Sum_sum_c_d @ ( SV540 @ SY2512 ) @ ( SV768 @ SY2512 ) ) ) )
        = $false )
      | ( ( member_c_Sum_sum_c_d @ SV540 @ ( pi_c_Sum_sum_c_d @ SV237 @ SV768 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2658]) ).

thf(2977,plain,
    ! [SV910: set_Sum_sum_c_c,SV769: sum_sum_c_c,SV541: sum_sum_c_c > c,SV238: c] :
      ( ( ( SV238
         != ( SV541 @ SV769 ) )
        = $true )
      | ( ( ~ ( member_Sum_sum_c_c @ SV769 @ SV910 )
          | ( member_c @ SV238 @ ( image_Sum_sum_c_c_c @ SV541 @ SV910 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2659]) ).

thf(2978,plain,
    ! [SV911: set_c,SV770: c,SV542: c > real > finite1398487019real_c,SV239: real > finite1398487019real_c] :
      ( ( ( SV239
         != ( SV542 @ SV770 ) )
        = $true )
      | ( ( ~ ( member_c @ SV770 @ SV911 )
          | ( member1321351885real_c @ SV239 @ ( image_1226855921real_c @ SV542 @ SV911 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2660]) ).

thf(2979,plain,
    ! [SV912: sum_sum_c_d,SV771: sum_sum_c_d > set_Sum_sum_c_c,SV543: set_Sum_sum_c_d,SV240: sum_sum_c_d > sum_sum_c_c] :
      ( ( ( ~ ( member71251457um_c_c @ SV240 @ ( pi_Sum1145067928um_c_c @ SV543 @ SV771 ) ) )
        = $true )
      | ( ( ~ ( member_Sum_sum_c_d @ SV912 @ SV543 )
          | ( member_Sum_sum_c_c @ ( SV240 @ SV912 ) @ ( SV771 @ SV912 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2661]) ).

thf(2980,plain,
    ! [SV772: set_Sum_sum_c_d,SV544: c > sum_sum_c_d,SV241: set_c] :
      ( ( ( ! [SY2516: c] :
              ( ~ ( member_c @ SY2516 @ SV241 )
              | ( member_Sum_sum_c_d @ ( SV544 @ SY2516 ) @ SV772 ) ) )
        = $false )
      | ( ( member_c_Sum_sum_c_d @ SV544
          @ ( pi_c_Sum_sum_c_d @ SV241
            @ ^ [SY2517: c] : SV772 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2662]) ).

thf(2981,plain,
    ! [SV913: sum_sum_c_d > c,SV773: c,SV545: set_Sum_sum_c_d,SV242: sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_d @ SV242 @ SV545 ) )
        = $true )
      | ( ( ( SV773
           != ( SV913 @ SV242 ) )
          | ( member_c @ SV773 @ ( image_Sum_sum_c_d_c @ SV913 @ SV545 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2663]) ).

thf(2982,plain,
    ! [SV774: set_Sum_sum_c_d,SV546: sum_sum_c_c > sum_sum_c_d,SV243: set_Sum_sum_c_c] :
      ( ( ( ! [SY2519: sum_sum_c_c] :
              ( ~ ( member_Sum_sum_c_c @ SY2519 @ SV243 )
              | ( member_Sum_sum_c_d @ ( SV546 @ SY2519 ) @ SV774 ) ) )
        = $false )
      | ( ( member318754689um_c_d @ SV546
          @ ( pi_Sum261268376um_c_d @ SV243
            @ ^ [SY2520: sum_sum_c_c] : SV774 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2664]) ).

thf(2983,plain,
    ! [SV775: sum_sum_c_c,SV547: set_Sum_sum_c_c,SV244: set_Sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ SV244 @ SV547 )
        = $false )
      | ( ( ~ ( member_Sum_sum_c_c @ SV775 @ SV244 )
          | ( member_Sum_sum_c_c @ SV775 @ SV547 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2665]) ).

thf(2984,plain,
    ! [SV914: produc190496183real_c,SV548: produc190496183real_c] :
      ( ( ~ ( ( ord_le850691415real_c @ SV548 @ SV914 )
            | ~ ( ~ ( ord_le775706699real_c @ ( produc2010422875real_c @ SV548 ) @ ( produc2010422875real_c @ SV914 ) )
                | ~ ( ord_le775706699real_c @ ( produc314122909real_c @ SV548 ) @ ( produc314122909real_c @ SV914 ) ) ) )
        | ~ ( ~ ( ord_le850691415real_c @ SV548 @ SV914 )
            | ~ ~ ( ~ ( ord_le775706699real_c @ ( produc2010422875real_c @ SV548 ) @ ( produc2010422875real_c @ SV914 ) )
                  | ~ ( ord_le775706699real_c @ ( produc314122909real_c @ SV548 ) @ ( produc314122909real_c @ SV914 ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2666]) ).

thf(2985,plain,
    ! [SV914: produc190496183real_c,SV548: produc190496183real_c] :
      ( ( ( ord_le850691415real_c @ SV548 @ SV914 )
        = ( ~ ( ~ ( ord_le775706699real_c @ ( produc2010422875real_c @ SV548 ) @ ( produc2010422875real_c @ SV914 ) )
              | ~ ( ord_le775706699real_c @ ( produc314122909real_c @ SV548 ) @ ( produc314122909real_c @ SV914 ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2666]) ).

thf(2986,plain,
    ! [SV915: sum_sum_c_c,SV777: sum_sum_c_c > set_Sum_sum_c_d,SV550: set_Sum_sum_c_c,SV247: sum_sum_c_c > sum_sum_c_d] :
      ( ( ( ~ ( member318754689um_c_d @ SV247 @ ( pi_Sum261268376um_c_d @ SV550 @ SV777 ) ) )
        = $true )
      | ( ( ~ ( member_Sum_sum_c_c @ SV915 @ SV550 )
          | ( member_Sum_sum_c_d @ ( SV247 @ SV915 ) @ ( SV777 @ SV915 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2668]) ).

thf(2987,plain,
    ! [SV916: real > finite1398487019real_c,SV778: set_Pr1389752855real_c,SV551: set_re2066790124real_c,SV248: ( real > finite1398487019real_c ) > produc190496183real_c] :
      ( ( ( ~ ( member954762593real_c @ SV248
              @ ( pi_rea1379668980real_c @ SV551
                @ ^ [SY2523: real > finite1398487019real_c] : SV778 ) ) )
        = $true )
      | ( ( ~ ( member1321351885real_c @ SV916 @ SV551 )
          | ( member1895684704real_c @ ( SV248 @ SV916 ) @ SV778 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2669]) ).

thf(2988,plain,
    ! [SV779: set_re2066790124real_c,SV552: c > real > finite1398487019real_c,SV249: set_c] :
      ( ( ( ! [SY2524: c] :
              ( ~ ( member_c @ SY2524 @ SV249 )
              | ( member1321351885real_c @ ( SV552 @ SY2524 ) @ SV779 ) ) )
        = $false )
      | ( ( ord_le35002188real_c @ ( image_1226855921real_c @ SV552 @ SV249 ) @ SV779 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2670]) ).

thf(2989,plain,
    ! [SV553: c > $o,SV250: c > $o] :
      ( ( ( ( ord_less_eq_set_c @ ( collect_c @ SV250 ) @ ( collect_c @ SV553 ) )
          | ! [SY2211: c] :
              ( ~ ( SV250 @ SY2211 )
              | ( SV553 @ SY2211 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ord_less_eq_set_c @ ( collect_c @ SV250 ) @ ( collect_c @ SV553 ) )
              | ~ ! [SY2211: c] :
                    ( ~ ( SV250 @ SY2211 )
                    | ( SV553 @ SY2211 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2671]) ).

thf(2990,plain,
    ! [SV251: set_re2066790124real_c,SV554: set_re2066790124real_c] :
      ( ( ( ~ ( member1321351885real_c @ ( sK10_SY2212 @ SV554 @ SV251 ) @ SV251 )
          | ( member1321351885real_c @ ( sK10_SY2212 @ SV554 @ SV251 ) @ SV554 ) )
        = $false )
      | ( ( ord_le35002188real_c @ SV251 @ SV554 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2672]) ).

thf(2991,plain,
    ! [SV555: set_Sum_sum_c_d,SV252: sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ SV252 @ SV555 )
        = $true )
      | ( ( member_Sum_sum_c_d @ SV252 @ ( uminus373867045um_c_d @ SV555 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2673]) ).

thf(2992,plain,
    ( ( ( ode != oDEa )
      = $true )
    | ( ( ( p != phi )
        | ~ ( ord_less_eq_real @ zero_zero_real @ t )
        | ( ( produc394644079real_c @ aa @ ba )
         != ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
        | ~ ( initia1631504802real_c @ sol
            @ ^ [SX0: real] : ( denota1275485728_a_b_c @ i @ oDEa )
            @ ( set_or656347191t_real @ zero_zero_real @ t )
            @ ( collec230941376real_c
              @ ^ [SX0: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ SX0 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) )
        | ~ ( denota256060419gree_c @ ( sol @ zero_zero_real ) @ ab
            @ ( collect_c
              @ ^ [SX0: c] :
                  ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_BVO_a_c @ oDEa ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( static_FVO_a_c @ oDEa ) ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_FVF_a_b_c @ phi ) ) ) ) )
        | ( ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) )
          = ( denota161327353_a_b_c @ i @ oDEa
            @ ( produc394644079real_c
              @ ( finite557796307c_real
                @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
              @ bb )
            @ ( finite557796307c_real
              @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ t ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) ) )
      = $true )
    | ( ( fsafe_a_b_c @ phi )
      = $false )
    | ( ( osafe_a_c @ oDEa )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2674]) ).

thf(2993,plain,
    ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) ) )
      = $false )
    | ( ( ~ ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) ) )
      = $true )
    | ( ( ( finite772340578real_c @ ( produc2010422875real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) ) @ i2 )
        = ( finite772340578real_c @ ab @ i2 ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2675]) ).

thf(2994,plain,
    ! [SV556: c > $o,SV253: c > $o] :
      ( ( ( ( SV253 @ ( sK11_SY2213 @ SV556 @ SV253 ) )
          = ( SV556 @ ( sK11_SY2213 @ SV556 @ SV253 ) ) )
        = $false )
      | ( ( ( collect_c @ SV253 )
          = ( collect_c @ SV556 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2676]) ).

thf(2995,plain,
    ! [SV780: sum_sum_c_d > set_c,SV557: sum_sum_c_d > c,SV254: set_Sum_sum_c_d] :
      ( ( ( ! [SY2525: sum_sum_c_d] :
              ( ~ ( member_Sum_sum_c_d @ SY2525 @ SV254 )
              | ( member_c @ ( SV557 @ SY2525 ) @ ( SV780 @ SY2525 ) ) ) )
        = $false )
      | ( ( member_Sum_sum_c_d_c @ SV557 @ ( pi_Sum_sum_c_d_c @ SV254 @ SV780 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2677]) ).

thf(2996,plain,
    ! [SV781: set_Sum_sum_c_c,SV558: sum_sum_c_c > sum_sum_c_c,SV255: set_Sum_sum_c_c] :
      ( ( ( ! [SY2526: sum_sum_c_c] :
              ( ~ ( member_Sum_sum_c_c @ SY2526 @ SV255 )
              | ( member_Sum_sum_c_c @ ( SV558 @ SY2526 ) @ SV781 ) ) )
        = $false )
      | ( ( ord_le1772180283um_c_c @ ( image_666880337um_c_c @ SV558 @ SV255 ) @ SV781 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2678]) ).

thf(2997,plain,
    ! [SV917: c > c,SV782: c,SV559: set_c,SV256: c] :
      ( ( ( ~ ( member_c @ SV256 @ SV559 ) )
        = $true )
      | ( ( ( SV782
           != ( SV917 @ SV256 ) )
          | ( member_c @ SV782 @ ( image_c_c @ SV917 @ SV559 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2679]) ).

thf(2998,plain,
    ! [SV918: set_Sum_sum_c_d,SV784: sum_sum_c_d,SV561: sum_sum_c_d > c,SV258: c] :
      ( ( ( SV258
         != ( SV561 @ SV784 ) )
        = $true )
      | ( ( ~ ( member_Sum_sum_c_d @ SV784 @ SV918 )
          | ( member_c @ SV258 @ ( image_Sum_sum_c_d_c @ SV561 @ SV918 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2680]) ).

thf(2999,plain,
    ! [SV785: sum_sum_c_d > c,SV562: set_Sum_sum_c_d,SV259: sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ SV259 @ SV562 )
        = $false )
      | ( ( member_c @ ( SV785 @ SV259 ) @ ( image_Sum_sum_c_d_c @ SV785 @ SV562 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2681]) ).

thf(3000,plain,
    ( ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $false )
    | ( ( ( finite772340578real_c @ ( produc2010422875real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) ) @ i2 )
        = ( finite772340578real_c @ ( sol @ x ) @ i2 ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2682]) ).

thf(3001,plain,
    ( ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $false )
    | ( ( ( finite772340578real_c @ ( produc2010422875real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) ) @ i2 )
        = ( finite772340578real_c @ ( sol @ x ) @ i2 ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2683]) ).

thf(3002,plain,
    ( ( ( ode != oDEa )
      = $true )
    | ( ( ( p != phi )
        | ~ ( ord_less_eq_real @ zero_zero_real @ t )
        | ( ( produc394644079real_c @ aa @ ba )
         != ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
        | ~ ( initia1631504802real_c @ sol
            @ ^ [SX0: real] : ( denota1275485728_a_b_c @ i @ oDEa )
            @ ( set_or656347191t_real @ zero_zero_real @ t )
            @ ( collec230941376real_c
              @ ^ [SX0: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ SX0 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) )
        | ~ ( denota256060419gree_c @ ( sol @ zero_zero_real ) @ ab
            @ ( collect_c
              @ ^ [SX0: c] :
                  ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_BVO_a_c @ oDEa ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( static_FVO_a_c @ oDEa ) ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_FVF_a_b_c @ phi ) ) ) ) )
        | ( ord_less_eq_real @ zero_zero_real @ t ) )
      = $true )
    | ( ( fsafe_a_b_c @ phi )
      = $false )
    | ( ( osafe_a_c @ oDEa )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2684]) ).

thf(3003,plain,
    ! [SV919: sum_sum_c_c > sum_sum_c_d,SV786: sum_sum_c_d,SV563: set_Sum_sum_c_c,SV260: sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ SV260 @ SV563 ) )
        = $true )
      | ( ( ( SV786
           != ( SV919 @ SV260 ) )
          | ( member_Sum_sum_c_d @ SV786 @ ( image_675141842um_c_d @ SV919 @ SV563 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2685]) ).

thf(3004,plain,
    ! [SV787: set_c,SV564: sum_sum_c_d > c,SV261: set_Sum_sum_c_d] :
      ( ( ( ! [SY2532: sum_sum_c_d] :
              ( ~ ( member_Sum_sum_c_d @ SY2532 @ SV261 )
              | ( member_c @ ( SV564 @ SY2532 ) @ SV787 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_d_c @ SV564
          @ ( pi_Sum_sum_c_d_c @ SV261
            @ ^ [SY2533: sum_sum_c_d] : SV787 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2686]) ).

thf(3005,plain,
    ! [SV920: c,SV788: finite1398487019real_c,SV565: finite1398487019real_c,SV262: $o] :
      ( ( ~ ( ~ SV262
            | ( ( finite772340578real_c @ ( if_Fin36944805real_c @ SV262 @ SV565 @ SV788 ) @ SV920 )
              = ( finite772340578real_c @ SV565 @ SV920 ) ) )
        | ~ ( ~ ~ SV262
            | ( ( finite772340578real_c @ ( if_Fin36944805real_c @ SV262 @ SV565 @ SV788 ) @ SV920 )
              = ( finite772340578real_c @ SV788 @ SV920 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2687]) ).

thf(3006,plain,
    ! [SV921: c,SV789: finite1398487019real_c,SV566: finite1398487019real_c] :
      ( ( ~ ( ~ $true
            | ( ( finite772340578real_c @ ( if_Fin36944805real_c @ $true @ SV566 @ SV789 ) @ SV921 )
              = ( finite772340578real_c @ SV566 @ SV921 ) ) )
        | ~ ( ~ ~ $true
            | ( ( finite772340578real_c @ ( if_Fin36944805real_c @ $true @ SV566 @ SV789 ) @ SV921 )
              = ( finite772340578real_c @ SV789 @ SV921 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2688]) ).

thf(3007,plain,
    ! [SV922: c,SV790: finite1398487019real_c,SV567: finite1398487019real_c] :
      ( ( ~ ( ~ $false
            | ( ( finite772340578real_c @ ( if_Fin36944805real_c @ $false @ SV567 @ SV790 ) @ SV922 )
              = ( finite772340578real_c @ SV567 @ SV922 ) ) )
        | ~ ( ~ ~ $false
            | ( ( finite772340578real_c @ ( if_Fin36944805real_c @ $false @ SV567 @ SV790 ) @ SV922 )
              = ( finite772340578real_c @ SV790 @ SV922 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2689]) ).

thf(3008,plain,
    ! [SV791: set_Fi1407883041real_c,SV569: real > finite1398487019real_c,SV264: set_real] :
      ( ( ( ! [SY2537: real] :
              ( ~ ( member_real @ SY2537 @ SV264 )
              | ( member1261661570real_c @ ( SV569 @ SY2537 ) @ SV791 ) ) )
        = $false )
      | ( ( member1321351885real_c @ SV569
          @ ( pi_rea1111636068real_c @ SV264
            @ ^ [SY2538: real] : SV791 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2691]) ).

thf(3009,plain,
    ! [SV923: produc190496183real_c,SV792: produc190496183real_c,SV570: set_Sum_sum_c_c,SV265: set_Sum_sum_c_c] :
      ( ( ( ~ ( ord_le1772180283um_c_c @ SV265 @ SV570 ) )
        = $true )
      | ( ( ~ ( denota1997846518gree_c @ SV792 @ SV923 @ SV570 )
          | ( denota1997846518gree_c @ SV792 @ SV923 @ SV265 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2692]) ).

thf(3010,plain,
    ! [SV924: produc190496183real_c,SV793: real,SV571: c,SV266: produc190496183real_c] :
      ( ( ( ( denotational_repd_c @ SV266 @ SV571 @ SV793 )
         != SV924 )
        = $true )
      | ( ( SV924
          = ( produc394644079real_c @ ( produc2010422875real_c @ SV266 )
            @ ( finite557796307c_real
              @ ^ [SY2541: c] : ( if_real @ ( SV571 = SY2541 ) @ SV793 @ ( finite772340578real_c @ ( produc314122909real_c @ SV266 ) @ SY2541 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2693]) ).

thf(3011,plain,
    ! [SV794: c > set_Sum_sum_c_c,SV572: c > sum_sum_c_c,SV267: set_c] :
      ( ( ( ! [SY2542: c] :
              ( ~ ( member_c @ SY2542 @ SV267 )
              | ( member_Sum_sum_c_c @ ( SV572 @ SY2542 ) @ ( SV794 @ SY2542 ) ) ) )
        = $false )
      | ( ( member_c_Sum_sum_c_c @ SV572 @ ( pi_c_Sum_sum_c_c @ SV267 @ SV794 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2694]) ).

thf(3012,plain,
    ! [SV795: set_Sum_sum_c_c,SV573: c > sum_sum_c_c,SV268: set_c] :
      ( ( ( ! [SY2543: c] :
              ( ~ ( member_c @ SY2543 @ SV268 )
              | ( member_Sum_sum_c_c @ ( SV573 @ SY2543 ) @ SV795 ) ) )
        = $false )
      | ( ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV573 @ SV268 ) @ SV795 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2695]) ).

thf(3013,plain,
    ! [SV796: sum_sum_c_d,SV574: set_Sum_sum_c_d,SV269: set_Sum_sum_c_d] :
      ( ( ( ord_le764260924um_c_d @ SV269 @ SV574 )
        = $false )
      | ( ( ~ ( member_Sum_sum_c_d @ SV796 @ SV269 )
          | ( member_Sum_sum_c_d @ SV796 @ SV574 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2696]) ).

thf(3014,plain,
    ! [SV575: c > $o,SV270: c > $o] :
      ( ( ( ~ ( SV270 @ ( sK12_SY2250 @ SV575 @ SV270 ) )
          | ( SV575 @ ( sK12_SY2250 @ SV575 @ SV270 ) ) )
        = $false )
      | ( ( ord_less_eq_set_c @ ( collect_c @ SV270 ) @ ( collect_c @ SV575 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2697]) ).

thf(3015,plain,
    ! [SV925: real,SV797: real,SV576: real,SV271: real] :
      ( ( ~ ( ( ord_less_eq_set_real @ ( set_or656347191t_real @ SV271 @ SV576 ) @ ( set_or656347191t_real @ SV797 @ SV925 ) )
            | ~ ( ord_less_eq_real @ SV271 @ SV576 )
            | ~ ( ~ ( ord_less_eq_real @ SV797 @ SV271 )
                | ~ ( ord_less_eq_real @ SV576 @ SV925 ) ) )
        | ~ ( ~ ( ord_less_eq_set_real @ ( set_or656347191t_real @ SV271 @ SV576 ) @ ( set_or656347191t_real @ SV797 @ SV925 ) )
            | ~ ( ~ ( ord_less_eq_real @ SV271 @ SV576 )
                | ~ ( ~ ( ord_less_eq_real @ SV797 @ SV271 )
                    | ~ ( ord_less_eq_real @ SV576 @ SV925 ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2698]) ).

thf(3016,plain,
    ! [SV925: real,SV797: real,SV576: real,SV271: real] :
      ( ( ( ord_less_eq_set_real @ ( set_or656347191t_real @ SV271 @ SV576 ) @ ( set_or656347191t_real @ SV797 @ SV925 ) )
        = ( ~ ( ord_less_eq_real @ SV271 @ SV576 )
          | ~ ( ~ ( ord_less_eq_real @ SV797 @ SV271 )
              | ~ ( ord_less_eq_real @ SV576 @ SV925 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2698]) ).

thf(3017,plain,
    ! [SV926: set_re2066790124real_c,SV577: set_re2066790124real_c] :
      ( ( ~ ( ( ord_le35002188real_c @ SV577 @ SV926 )
            | ! [SY2643: real > finite1398487019real_c] :
                ( ~ ( member1321351885real_c @ SY2643 @ SV577 )
                | ( member1321351885real_c @ SY2643 @ SV926 ) ) )
        | ~ ( ~ ( ord_le35002188real_c @ SV577 @ SV926 )
            | ~ ! [SY2643: real > finite1398487019real_c] :
                  ( ~ ( member1321351885real_c @ SY2643 @ SV577 )
                  | ( member1321351885real_c @ SY2643 @ SV926 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2699]) ).

thf(3018,plain,
    ! [SV926: set_re2066790124real_c,SV577: set_re2066790124real_c] :
      ( ( ( ord_le35002188real_c @ SV577 @ SV926 )
        = ( ! [SY2643: real > finite1398487019real_c] :
              ( ~ ( member1321351885real_c @ SY2643 @ SV577 )
              | ( member1321351885real_c @ SY2643 @ SV926 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2699]) ).

thf(3019,plain,
    ! [SV927: set_Pr1389752855real_c,SV578: set_Pr1389752855real_c] :
      ( ( ~ ( ( ord_le977353143real_c @ SV578 @ SV927 )
            | ! [SY2644: produc190496183real_c] :
                ( ~ ( member1895684704real_c @ SY2644 @ SV578 )
                | ( member1895684704real_c @ SY2644 @ SV927 ) ) )
        | ~ ( ~ ( ord_le977353143real_c @ SV578 @ SV927 )
            | ~ ! [SY2644: produc190496183real_c] :
                  ( ~ ( member1895684704real_c @ SY2644 @ SV578 )
                  | ( member1895684704real_c @ SY2644 @ SV927 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2700]) ).

thf(3020,plain,
    ! [SV927: set_Pr1389752855real_c,SV578: set_Pr1389752855real_c] :
      ( ( ( ord_le977353143real_c @ SV578 @ SV927 )
        = ( ! [SY2644: produc190496183real_c] :
              ( ~ ( member1895684704real_c @ SY2644 @ SV578 )
              | ( member1895684704real_c @ SY2644 @ SV927 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2700]) ).

thf(3021,plain,
    ! [SV800: sum_sum_c_c > sum_sum_c_c,SV579: set_Sum_sum_c_c,SV274: sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ SV274 @ SV579 )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( SV800 @ SV274 ) @ ( image_666880337um_c_c @ SV800 @ SV579 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2701]) ).

thf(3022,plain,
    ! [SV801: c > set_re2066790124real_c,SV580: c > real > finite1398487019real_c,SV275: set_c] :
      ( ( ( ! [SY2547: c] :
              ( ~ ( member_c @ SY2547 @ SV275 )
              | ( member1321351885real_c @ ( SV580 @ SY2547 ) @ ( SV801 @ SY2547 ) ) ) )
        = $false )
      | ( ( member469531344real_c @ SV580 @ ( pi_c_r41638571real_c @ SV275 @ SV801 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2702]) ).

thf(3023,plain,
    ! [SV928: c,SV802: c > set_Sum_sum_c_c,SV581: set_c,SV276: c > sum_sum_c_c] :
      ( ( ( ~ ( member_c_Sum_sum_c_c @ SV276 @ ( pi_c_Sum_sum_c_c @ SV581 @ SV802 ) ) )
        = $true )
      | ( ( ~ ~ ( member_Sum_sum_c_c @ ( SV276 @ SV928 ) @ ( SV802 @ SV928 ) )
          | ~ ( member_c @ SV928 @ SV581 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2703]) ).

thf(3024,plain,
    ! [SV277: c] :
      ( ( ~ ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SV277 ) @ ( static_BVO_a_c @ oDEa ) )
            | ( ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SV277 )
              = ( finite772340578real_c @ ab @ SV277 ) ) )
        | ~ ( ~ ( member_Sum_sum_c_d @ ( sum_Inl_c_d @ SV277 ) @ ( image_c_Sum_sum_c_d @ sum_Inl_c_d @ ( static_FVO_a_c @ oDEa ) ) )
            | ( ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SV277 )
              = ( finite772340578real_c @ ab @ SV277 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2704]) ).

thf(3025,plain,
    ! [SV277: c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SV277 ) @ ( static_FVF_a_b_c @ phi ) ) )
        = $true )
      | ( ( ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SV277 )
          = ( finite772340578real_c @ ab @ SV277 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2705]) ).

thf(3026,plain,
    ! [SV929: sum_sum_c_c,SV803: sum_sum_c_c > set_Sum_sum_c_c,SV582: set_Sum_sum_c_c,SV278: sum_sum_c_c > sum_sum_c_c] :
      ( ( ( ~ ( member1326674048um_c_c @ SV278 @ ( pi_Sum253006871um_c_c @ SV582 @ SV803 ) ) )
        = $true )
      | ( ( ~ ~ ( member_Sum_sum_c_c @ ( SV278 @ SV929 ) @ ( SV803 @ SV929 ) )
          | ~ ( member_Sum_sum_c_c @ SV929 @ SV582 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2706]) ).

thf(3027,plain,
    ! [SV804: sum_sum_c_c > set_Sum_sum_c_c,SV583: sum_sum_c_c > sum_sum_c_c,SV279: set_Sum_sum_c_c] :
      ( ( ( ! [SY2550: sum_sum_c_c] :
              ( ~ ( member_Sum_sum_c_c @ SY2550 @ SV279 )
              | ( member_Sum_sum_c_c @ ( SV583 @ SY2550 ) @ ( SV804 @ SY2550 ) ) ) )
        = $false )
      | ( ( member1326674048um_c_c @ SV583 @ ( pi_Sum253006871um_c_c @ SV279 @ SV804 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2707]) ).

thf(3028,plain,
    ! [SV930: sum_sum_c_c,SV805: sum_sum_c_c > set_c,SV584: set_Sum_sum_c_c,SV280: sum_sum_c_c > c] :
      ( ( ( ~ ( member_Sum_sum_c_c_c @ SV280 @ ( pi_Sum_sum_c_c_c @ SV584 @ SV805 ) ) )
        = $true )
      | ( ( ~ ~ ( member_c @ ( SV280 @ SV930 ) @ ( SV805 @ SV930 ) )
          | ~ ( member_Sum_sum_c_c @ SV930 @ SV584 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2708]) ).

thf(3029,plain,
    ! [SV806: set_Sum_sum_c_c,SV585: sum_sum_c_c > sum_sum_c_d,SV281: sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ SV281 @ ( image_675141842um_c_d @ SV585 @ SV806 ) )
        = $false )
      | ( ( ~ ! [SY2552: sum_sum_c_c] :
                ( ( SV281
                 != ( SV585 @ SY2552 ) )
                | ~ ( member_Sum_sum_c_c @ SY2552 @ SV806 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2709]) ).

thf(3030,plain,
    ! [SV807: c > set_Sum_sum_c_c,SV586: c > sum_sum_c_c,SV282: set_c] :
      ( ( ( ! [SY2553: c] :
              ( ~ ( member_c @ SY2553 @ SV282 )
              | ( member_Sum_sum_c_c @ ( SV586 @ SY2553 ) @ ( SV807 @ SY2553 ) ) ) )
        = $false )
      | ( ( member_c_Sum_sum_c_c @ SV586 @ ( pi_c_Sum_sum_c_c @ SV282 @ SV807 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2710]) ).

thf(3031,plain,
    ! [SV931: finite1398487019real_c,SV808: finite1398487019real_c,SV587: set_c,SV283: set_c] :
      ( ( ( ~ ( ord_less_eq_set_c @ SV283 @ SV587 ) )
        = $true )
      | ( ( ~ ( denota256060419gree_c @ SV808 @ SV931 @ SV587 )
          | ( denota256060419gree_c @ SV808 @ SV931 @ SV283 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2711]) ).

thf(3032,plain,
    ! [SV932: real > finite1398487019real_c,SV809: set_Sum_sum_c_d,SV588: set_re2066790124real_c,SV284: ( real > finite1398487019real_c ) > sum_sum_c_d] :
      ( ( ( ~ ( member1494186770um_c_d @ SV284
              @ ( pi_rea1508591913um_c_d @ SV588
                @ ^ [SY2556: real > finite1398487019real_c] : SV809 ) ) )
        = $true )
      | ( ( ~ ( member1321351885real_c @ SV932 @ SV588 )
          | ( member_Sum_sum_c_d @ ( SV284 @ SV932 ) @ SV809 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2712]) ).

thf(3033,plain,
    ! [SV933: c > sum_sum_c_d,SV810: sum_sum_c_d,SV589: set_c,SV285: c] :
      ( ( ( ~ ( member_c @ SV285 @ SV589 ) )
        = $true )
      | ( ( ( SV810
           != ( SV933 @ SV285 ) )
          | ( member_Sum_sum_c_d @ SV810 @ ( image_c_Sum_sum_c_d @ SV933 @ SV589 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2713]) ).

thf(3034,plain,
    ! [SV811: c > set_c,SV590: c > c,SV286: set_c] :
      ( ( ( ! [SY2558: c] :
              ( ~ ( member_c @ SY2558 @ SV286 )
              | ( member_c @ ( SV590 @ SY2558 ) @ ( SV811 @ SY2558 ) ) ) )
        = $false )
      | ( ( member_c_c @ SV590 @ ( pi_c_c @ SV286 @ SV811 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2714]) ).

thf(3035,plain,
    ! [SV934: c > real > finite1398487019real_c,SV812: real > finite1398487019real_c,SV591: set_c,SV287: c] :
      ( ( ( ~ ( member_c @ SV287 @ SV591 ) )
        = $true )
      | ( ( ( SV812
           != ( SV934 @ SV287 ) )
          | ( member1321351885real_c @ SV812 @ ( image_1226855921real_c @ SV934 @ SV591 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2715]) ).

thf(3036,plain,
    ! [SV935: produc190496183real_c,SV813: finite1398487019real_c,SV592: oDE_a_c,SV288: denota231621370t_unit] :
      ( ( ( ( denota1896987029_a_b_c @ SV288 @ SV592 @ SV813 )
         != SV935 )
        = $true )
      | ( ( SV935
          = ( produc394644079real_c @ SV813 @ ( denota1275485728_a_b_c @ SV288 @ SV592 @ SV813 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2716]) ).

thf(3037,plain,
    ! [SV936: set_Sum_sum_c_c,SV814: sum_sum_c_c,SV593: sum_sum_c_c > sum_sum_c_c,SV289: sum_sum_c_c] :
      ( ( ( SV289
         != ( SV593 @ SV814 ) )
        = $true )
      | ( ( ~ ( member_Sum_sum_c_c @ SV814 @ SV936 )
          | ( member_Sum_sum_c_c @ SV289 @ ( image_666880337um_c_c @ SV593 @ SV936 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2717]) ).

thf(3038,plain,
    ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) ) )
      = $false )
    | ( ( ~ ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) ) )
      = $true )
    | ( ( ( finite772340578real_c @ ( produc314122909real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) ) @ i2 )
        = ( finite772340578real_c @ bb @ i2 ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2718]) ).

thf(3039,plain,
    ! [SV815: c > sum_sum_c_d,SV594: set_c,SV290: set_c] :
      ( ( ( ord_less_eq_set_c @ SV290 @ SV594 )
        = $false )
      | ( ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV815 @ SV290 ) @ ( image_c_Sum_sum_c_d @ SV815 @ SV594 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2719]) ).

thf(3040,plain,
    ! [SV595: set_c,SV291: c] :
      ( ( ( member_c @ SV291 @ SV595 )
        = $false )
      | ( ( member_c @ SV291 @ ( uminus_uminus_set_c @ SV595 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2720]) ).

thf(3041,plain,
    ! [SV816: sum_sum_c_c > c,SV596: set_Sum_sum_c_c,SV292: sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ SV292 @ SV596 )
        = $false )
      | ( ( member_c @ ( SV816 @ SV292 ) @ ( image_Sum_sum_c_c_c @ SV816 @ SV596 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2721]) ).

thf(3042,plain,
    ! [SV817: sum_sum_c_d > set_Sum_sum_c_c,SV597: sum_sum_c_d > sum_sum_c_c,SV293: set_Sum_sum_c_d] :
      ( ( ( ! [SY2562: sum_sum_c_d] :
              ( ~ ( member_Sum_sum_c_d @ SY2562 @ SV293 )
              | ( member_Sum_sum_c_c @ ( SV597 @ SY2562 ) @ ( SV817 @ SY2562 ) ) ) )
        = $false )
      | ( ( member71251457um_c_c @ SV597 @ ( pi_Sum1145067928um_c_c @ SV293 @ SV817 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2722]) ).

thf(3043,plain,
    ! [SV598: set_Sum_sum_c_c,SV294: sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ SV294 @ SV598 )
        = $true )
      | ( ( member_Sum_sum_c_c @ SV294 @ ( uminus1381786404um_c_c @ SV598 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2723]) ).

thf(3044,plain,
    ! [SV819: set_Sum_sum_c_c,SV601: sum_sum_c_c > sum_sum_c_c,SV297: sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ SV297 @ ( image_666880337um_c_c @ SV601 @ SV819 ) )
        = $false )
      | ( ( ~ ! [SY2565: sum_sum_c_c] :
                ( ( SV297
                 != ( SV601 @ SY2565 ) )
                | ~ ( member_Sum_sum_c_c @ SY2565 @ SV819 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2724]) ).

thf(3045,plain,
    ! [SV820: set_Sum_sum_c_d,SV602: sum_sum_c_d > c,SV298: c] :
      ( ( ( member_c @ SV298 @ ( image_Sum_sum_c_d_c @ SV602 @ SV820 ) )
        = $false )
      | ( ( ~ ! [SY2566: sum_sum_c_d] :
                ( ( SV298
                 != ( SV602 @ SY2566 ) )
                | ~ ( member_Sum_sum_c_d @ SY2566 @ SV820 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2725]) ).

thf(3046,plain,
    ! [SV821: sum_sum_c_d > set_Sum_sum_c_c,SV603: sum_sum_c_d > sum_sum_c_c,SV299: set_Sum_sum_c_d] :
      ( ( ( ! [SY2567: sum_sum_c_d] :
              ( ~ ( member_Sum_sum_c_d @ SY2567 @ SV299 )
              | ( member_Sum_sum_c_c @ ( SV603 @ SY2567 ) @ ( SV821 @ SY2567 ) ) ) )
        = $false )
      | ( ( member71251457um_c_c @ SV603 @ ( pi_Sum1145067928um_c_c @ SV299 @ SV821 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2726]) ).

thf(3047,plain,
    ! [SV822: c > set_Sum_sum_c_d,SV604: c > sum_sum_c_d,SV300: set_c] :
      ( ( ( ! [SY2568: c] :
              ( ~ ( member_c @ SY2568 @ SV300 )
              | ( member_Sum_sum_c_d @ ( SV604 @ SY2568 ) @ ( SV822 @ SY2568 ) ) ) )
        = $false )
      | ( ( member_c_Sum_sum_c_d @ SV604 @ ( pi_c_Sum_sum_c_d @ SV300 @ SV822 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2727]) ).

thf(3048,plain,
    ! [SV823: set_Sum_sum_c_d,SV605: sum_sum_c_d > sum_sum_c_d,SV301: sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ SV301 @ ( image_1567202899um_c_d @ SV605 @ SV823 ) )
        = $false )
      | ( ( ~ ! [SY2569: sum_sum_c_d] :
                ( ( SV301
                 != ( SV605 @ SY2569 ) )
                | ~ ( member_Sum_sum_c_d @ SY2569 @ SV823 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2728]) ).

thf(3049,plain,
    ! [SV937: produc957004601l_real,SV606: produc957004601l_real] :
      ( ( ~ ( ( ord_le1342644953l_real @ SV606 @ SV937 )
            | ~ ( ~ ( ord_less_eq_real @ ( produc1422991709l_real @ SV606 ) @ ( produc1422991709l_real @ SV937 ) )
                | ~ ( ord_less_eq_real @ ( produc1407670175l_real @ SV606 ) @ ( produc1407670175l_real @ SV937 ) ) ) )
        | ~ ( ~ ( ord_le1342644953l_real @ SV606 @ SV937 )
            | ~ ~ ( ~ ( ord_less_eq_real @ ( produc1422991709l_real @ SV606 ) @ ( produc1422991709l_real @ SV937 ) )
                  | ~ ( ord_less_eq_real @ ( produc1407670175l_real @ SV606 ) @ ( produc1407670175l_real @ SV937 ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2729]) ).

thf(3050,plain,
    ! [SV937: produc957004601l_real,SV606: produc957004601l_real] :
      ( ( ( ord_le1342644953l_real @ SV606 @ SV937 )
        = ( ~ ( ~ ( ord_less_eq_real @ ( produc1422991709l_real @ SV606 ) @ ( produc1422991709l_real @ SV937 ) )
              | ~ ( ord_less_eq_real @ ( produc1407670175l_real @ SV606 ) @ ( produc1407670175l_real @ SV937 ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2729]) ).

thf(3051,plain,
    ( ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $false )
    | ( ( ( finite772340578real_c
          @ ( produc314122909real_c
            @ ( denota161327353_a_b_c @ i @ oDEa
              @ ( produc394644079real_c
                @ ( finite557796307c_real
                  @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                @ bb )
              @ ( finite557796307c_real
                @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
          @ i2 )
        = ( finite772340578real_c
          @ ( denota1275485728_a_b_c @ i @ oDEa
            @ ( finite557796307c_real
              @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) )
          @ i2 ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2730]) ).

thf(3052,plain,
    ( ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $false )
    | ( ( ( finite772340578real_c
          @ ( produc314122909real_c
            @ ( denota161327353_a_b_c @ i @ oDEa
              @ ( produc394644079real_c
                @ ( finite557796307c_real
                  @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                @ bb )
              @ ( finite557796307c_real
                @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
          @ i2 )
        = ( finite772340578real_c
          @ ( denota1275485728_a_b_c @ i @ oDEa
            @ ( finite557796307c_real
              @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) )
          @ i2 ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2731]) ).

thf(3053,plain,
    ! [SV825: sum_sum_c_c > set_c,SV607: sum_sum_c_c > c,SV303: set_Sum_sum_c_c] :
      ( ( ( ! [SY2570: sum_sum_c_c] :
              ( ~ ( member_Sum_sum_c_c @ SY2570 @ SV303 )
              | ( member_c @ ( SV607 @ SY2570 ) @ ( SV825 @ SY2570 ) ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c_c @ SV607 @ ( pi_Sum_sum_c_c_c @ SV303 @ SV825 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2732]) ).

thf(3054,plain,
    ! [SV608: produc190496183real_c,SV304: produc190496183real_c] :
      ( ( ( ~ ( ( member1895684704real_c @ SV304 @ ( denota968303861_a_b_c @ i @ p ) )
              | ( member1895684704real_c @ SV608 @ ( denota968303861_a_b_c @ i @ p ) ) )
          | ~ ( ~ ( member1895684704real_c @ SV304 @ ( denota968303861_a_b_c @ i @ p ) )
              | ~ ( member1895684704real_c @ SV608 @ ( denota968303861_a_b_c @ i @ p ) ) ) )
        = $true )
      | ( ( denota1997846518gree_c @ SV304 @ SV608 @ ( static_FVF_a_b_c @ p ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2733]) ).

thf(3055,plain,
    ! [SV608: produc190496183real_c,SV304: produc190496183real_c] :
      ( ( ( ( member1895684704real_c @ SV304 @ ( denota968303861_a_b_c @ i @ p ) )
          = ( member1895684704real_c @ SV608 @ ( denota968303861_a_b_c @ i @ p ) ) )
        = $true )
      | ( ( denota1997846518gree_c @ SV304 @ SV608 @ ( static_FVF_a_b_c @ p ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2733]) ).

thf(3056,plain,
    ! [SV938: c > sum_sum_c_d,SV826: c > sum_sum_c_d,SV609: set_c,SV305: set_c] :
      ( ( ( SV305 != SV609 )
        = $true )
      | ( ( ~ ! [SY2646: c] :
                ( ~ ( member_c @ SY2646 @ SV609 )
                | ( ( SV826 @ SY2646 )
                  = ( SV938 @ SY2646 ) ) )
          | ( ( image_c_Sum_sum_c_d @ SV826 @ SV305 )
            = ( image_c_Sum_sum_c_d @ SV938 @ SV609 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2734]) ).

thf(3057,plain,
    ! [SV827: sum_sum_c_c > set_c,SV610: sum_sum_c_c > c,SV306: set_Sum_sum_c_c] :
      ( ( ( ! [SY2573: sum_sum_c_c] :
              ( ~ ( member_Sum_sum_c_c @ SY2573 @ SV306 )
              | ( member_c @ ( SV610 @ SY2573 ) @ ( SV827 @ SY2573 ) ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c_c @ SV610 @ ( pi_Sum_sum_c_c_c @ SV306 @ SV827 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2735]) ).

thf(3058,plain,
    ! [SV307: set_Pr1389752855real_c,SV611: set_Pr1389752855real_c] :
      ( ( ( ~ ( member1895684704real_c @ ( sK13_SY2313 @ SV611 @ SV307 ) @ SV307 )
          | ( member1895684704real_c @ ( sK13_SY2313 @ SV611 @ SV307 ) @ SV611 ) )
        = $false )
      | ( ( ord_le977353143real_c @ SV307 @ SV611 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2736]) ).

thf(3059,plain,
    ! [SV828: sum_sum_c_d > sum_sum_c_c,SV616: set_Sum_sum_c_d,SV312: sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ SV312 @ SV616 )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( SV828 @ SV312 ) @ ( image_1558941394um_c_c @ SV828 @ SV616 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2738]) ).

thf(3060,plain,
    ! [SV939: sum_sum_c_d > sum_sum_c_d,SV829: sum_sum_c_d,SV617: set_Sum_sum_c_d,SV313: sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_d @ SV313 @ SV617 ) )
        = $true )
      | ( ( ( SV829
           != ( SV939 @ SV313 ) )
          | ( member_Sum_sum_c_d @ SV829 @ ( image_1567202899um_c_d @ SV939 @ SV617 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2739]) ).

thf(3061,plain,
    ! [SV940: c,SV830: c > set_c,SV618: set_c,SV314: c > c] :
      ( ( ( ~ ( member_c_c @ SV314 @ ( pi_c_c @ SV618 @ SV830 ) ) )
        = $true )
      | ( ( ~ ~ ( member_c @ ( SV314 @ SV940 ) @ ( SV830 @ SV940 ) )
          | ~ ( member_c @ SV940 @ SV618 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2740]) ).

thf(3062,plain,
    ! [SV941: finite1398487019real_c,SV831: finite1398487019real_c,SV619: finite1398487019real_c,SV315: finite1398487019real_c] :
      ( ( ~ ( ( ord_le850691415real_c @ ( produc394644079real_c @ SV315 @ SV619 ) @ ( produc394644079real_c @ SV831 @ SV941 ) )
            | ~ ( ~ ( ord_le775706699real_c @ SV315 @ SV831 )
                | ~ ( ord_le775706699real_c @ SV619 @ SV941 ) ) )
        | ~ ( ~ ( ord_le850691415real_c @ ( produc394644079real_c @ SV315 @ SV619 ) @ ( produc394644079real_c @ SV831 @ SV941 ) )
            | ~ ~ ( ~ ( ord_le775706699real_c @ SV315 @ SV831 )
                  | ~ ( ord_le775706699real_c @ SV619 @ SV941 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2741]) ).

thf(3063,plain,
    ! [SV941: finite1398487019real_c,SV831: finite1398487019real_c,SV619: finite1398487019real_c,SV315: finite1398487019real_c] :
      ( ( ( ord_le850691415real_c @ ( produc394644079real_c @ SV315 @ SV619 ) @ ( produc394644079real_c @ SV831 @ SV941 ) )
        = ( ~ ( ~ ( ord_le775706699real_c @ SV315 @ SV831 )
              | ~ ( ord_le775706699real_c @ SV619 @ SV941 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2741]) ).

thf(3064,plain,
    ! [SV832: real > set_Fi1407883041real_c,SV620: set_real,SV316: real > finite1398487019real_c] :
      ( ( ( ~ ( ( member1321351885real_c @ SV316 @ ( pi_rea1111636068real_c @ SV620 @ SV832 ) )
              | ! [SY2577: real] :
                  ( ~ ( member_real @ SY2577 @ SV620 )
                  | ( member1261661570real_c @ ( SV316 @ SY2577 ) @ ( SV832 @ SY2577 ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( member1321351885real_c @ SV316 @ ( pi_rea1111636068real_c @ SV620 @ SV832 ) )
              | ~ ! [SY2577: real] :
                    ( ~ ( member_real @ SY2577 @ SV620 )
                    | ( member1261661570real_c @ ( SV316 @ SY2577 ) @ ( SV832 @ SY2577 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2742]) ).

thf(3065,plain,
    ! [SV833: sum_sum_c_d > sum_sum_c_d,SV621: set_Sum_sum_c_d,SV317: sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ SV317 @ SV621 )
        = $false )
      | ( ( member_Sum_sum_c_d @ ( SV833 @ SV317 ) @ ( image_1567202899um_c_d @ SV833 @ SV621 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2744]) ).

thf(3066,plain,
    ! [SV834: produc190496183real_c,SV622: set_Pr1389752855real_c,SV318: set_Pr1389752855real_c] :
      ( ( ( ord_le977353143real_c @ SV318 @ SV622 )
        = $false )
      | ( ( ~ ( member1895684704real_c @ SV834 @ SV318 )
          | ( member1895684704real_c @ SV834 @ SV622 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2745]) ).

thf(3067,plain,
    ! [SV942: real > finite1398487019real_c,SV835: ( real > finite1398487019real_c ) > set_c,SV623: set_re2066790124real_c,SV319: ( real > finite1398487019real_c ) > c] :
      ( ( ( ~ ( member527957930al_c_c @ SV319 @ ( pi_rea1228756413al_c_c @ SV623 @ SV835 ) ) )
        = $true )
      | ( ( ~ ~ ( member_c @ ( SV319 @ SV942 ) @ ( SV835 @ SV942 ) )
          | ~ ( member1321351885real_c @ SV942 @ SV623 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2746]) ).

thf(3068,plain,
    ! [SV320: set_Sum_sum_c_c,SV624: set_Sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sK14_SY2329 @ SV624 @ SV320 ) @ SV320 )
          | ( member_Sum_sum_c_c @ ( sK14_SY2329 @ SV624 @ SV320 ) @ SV624 ) )
        = $false )
      | ( ( ord_le1772180283um_c_c @ SV320 @ SV624 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2747]) ).

thf(3069,plain,
    ! [SV836: c > real > finite1398487019real_c,SV625: set_c,SV321: c] :
      ( ( ( member_c @ SV321 @ SV625 )
        = $false )
      | ( ( member1321351885real_c @ ( SV836 @ SV321 ) @ ( image_1226855921real_c @ SV836 @ SV625 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2748]) ).

thf(3070,plain,
    ! [SV943: set_c,SV837: c,SV626: c > c,SV322: c] :
      ( ( ( SV322
         != ( SV626 @ SV837 ) )
        = $true )
      | ( ( ~ ( member_c @ SV837 @ SV943 )
          | ( member_c @ SV322 @ ( image_c_c @ SV626 @ SV943 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2749]) ).

thf(3071,plain,
    ! [SV944: produc190496183real_c,SV627: produc190496183real_c] :
      ( ( ~ ( ( SV627 = SV944 )
            | ~ ( ( ( produc2010422875real_c @ SV627 )
                 != ( produc2010422875real_c @ SV944 ) )
                | ( ( produc314122909real_c @ SV627 )
                 != ( produc314122909real_c @ SV944 ) ) ) )
        | ~ ( ( SV627 != SV944 )
            | ~ ~ ( ( ( produc2010422875real_c @ SV627 )
                   != ( produc2010422875real_c @ SV944 ) )
                  | ( ( produc314122909real_c @ SV627 )
                   != ( produc314122909real_c @ SV944 ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2750]) ).

thf(3072,plain,
    ! [SV944: produc190496183real_c,SV627: produc190496183real_c] :
      ( ( ( SV627 = SV944 )
        = ( ~ ( ( ( produc2010422875real_c @ SV627 )
               != ( produc2010422875real_c @ SV944 ) )
              | ( ( produc314122909real_c @ SV627 )
               != ( produc314122909real_c @ SV944 ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2750]) ).

thf(3073,plain,
    ! [SV945: set_Pr1389752855real_c,SV628: set_Pr1389752855real_c] :
      ( ( ~ ( ( ord_le977353143real_c @ SV628 @ SV945 )
            | ! [SY2647: produc190496183real_c] :
                ( ~ ( member1895684704real_c @ SY2647 @ SV628 )
                | ( member1895684704real_c @ SY2647 @ SV945 ) ) )
        | ~ ( ~ ( ord_le977353143real_c @ SV628 @ SV945 )
            | ~ ! [SY2647: produc190496183real_c] :
                  ( ~ ( member1895684704real_c @ SY2647 @ SV628 )
                  | ( member1895684704real_c @ SY2647 @ SV945 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2751]) ).

thf(3074,plain,
    ! [SV945: set_Pr1389752855real_c,SV628: set_Pr1389752855real_c] :
      ( ( ( ord_le977353143real_c @ SV628 @ SV945 )
        = ( ! [SY2647: produc190496183real_c] :
              ( ~ ( member1895684704real_c @ SY2647 @ SV628 )
              | ( member1895684704real_c @ SY2647 @ SV945 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[2751]) ).

thf(3075,plain,
    ! [SV840: finite1398487019real_c,SV629: finite1398487019real_c,SV325: finite1398487019real_c] :
      ( ( ( ( produc2010422875real_c @ ( produc394644079real_c @ SV325 @ SV629 ) )
          = SV840 )
        = $false )
      | ( ( SV325 = SV840 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2752]) ).

thf(3076,plain,
    ! [SV841: c > sum_sum_c_d,SV630: set_c,SV326: c] :
      ( ( ( member_c @ SV326 @ SV630 )
        = $false )
      | ( ( member_Sum_sum_c_d @ ( SV841 @ SV326 ) @ ( image_c_Sum_sum_c_d @ SV841 @ SV630 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2753]) ).

thf(3077,plain,
    ! [SV842: set_c,SV631: c > sum_sum_c_c,SV327: set_Sum_sum_c_c] :
      ( ( ( ~ ( ( ord_le1772180283um_c_c @ SV327 @ ( image_c_Sum_sum_c_c @ SV631 @ SV842 ) )
              | ~ ! [SY2581: set_c] :
                    ~ ~ ( ~ ( ord_less_eq_set_c @ SY2581 @ SV842 )
                        | ( SV327
                         != ( image_c_Sum_sum_c_c @ SV631 @ SY2581 ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV327 @ ( image_c_Sum_sum_c_c @ SV631 @ SV842 ) )
              | ~ ~ ! [SY2581: set_c] :
                      ~ ~ ( ~ ( ord_less_eq_set_c @ SY2581 @ SV842 )
                          | ( SV327
                           != ( image_c_Sum_sum_c_c @ SV631 @ SY2581 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2754]) ).

thf(3078,plain,
    ! [SV844: sum_sum_c_d > $o,SV633: set_c,SV329: c > sum_sum_c_d] :
      ( ( ( ~ ! [SY2584: sum_sum_c_d] :
                ~ ~ ( ~ ( member_Sum_sum_c_d @ SY2584 @ ( image_c_Sum_sum_c_d @ SV329 @ SV633 ) )
                    | ~ ( SV844 @ SY2584 ) ) )
        = $false )
      | ( ( ~ ! [SY2585: c] :
                ~ ~ ( ~ ( member_c @ SY2585 @ SV633 )
                    | ~ ( SV844 @ ( SV329 @ SY2585 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2756]) ).

thf(3079,plain,
    ! [SV946: set_Sum_sum_c_c,SV845: sum_sum_c_c,SV634: sum_sum_c_c > sum_sum_c_d,SV330: sum_sum_c_d] :
      ( ( ( SV330
         != ( SV634 @ SV845 ) )
        = $true )
      | ( ( ~ ( member_Sum_sum_c_c @ SV845 @ SV946 )
          | ( member_Sum_sum_c_d @ SV330 @ ( image_675141842um_c_d @ SV634 @ SV946 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2757]) ).

thf(3080,plain,
    ! [SV956: finite1398487019real_c,SV947: real,SV846: real > finite1398487019real_c,SV635: denota231621370t_unit,SV331: oDE_a_c] :
      ( ( ~ ( osafe_a_c @ SV331 )
        | ( ( denota1275485728_a_b_c @ SV635 @ SV331 @ ( SV846 @ SV947 ) )
          = ( denota1275485728_a_b_c @ SV635 @ SV331
            @ ( finite557796307c_real
              @ ^ [SY2664: c] : ( if_real @ ( member_c @ SY2664 @ ( static_FVO_a_c @ SV331 ) ) @ ( finite772340578real_c @ ( SV846 @ SV947 ) @ SY2664 ) @ ( finite772340578real_c @ SV956 @ SY2664 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2758]) ).

thf(3081,plain,
    ! [SV948: finite1398487019real_c,SV847: finite1398487019real_c,SV636: finite1398487019real_c,SV332: finite1398487019real_c] :
      ( ( ( ( produc394644079real_c @ SV332 @ SV636 )
         != ( produc394644079real_c @ SV847 @ SV948 ) )
        = $true )
      | ( ( ~ ( ( SV332 != SV847 )
              | ( SV636 != SV948 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2759]) ).

thf(3082,plain,
    ! [SV333: produc190496183real_c] :
      ( ( SV333
        = ( produc394644079real_c @ ( sK2_SY1870 @ SV333 ) @ ( sK3_SY2591 @ SV333 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2760]) ).

thf(3083,plain,
    ! [SV848: set_Sum_sum_c_c,SV637: c > sum_sum_c_c,SV334: set_c] :
      ( ( ( ! [SY2592: c] :
              ( ~ ( member_c @ SY2592 @ SV334 )
              | ( member_Sum_sum_c_c @ ( SV637 @ SY2592 ) @ SV848 ) ) )
        = $false )
      | ( ( member_c_Sum_sum_c_c @ SV637
          @ ( pi_c_Sum_sum_c_c @ SV334
            @ ^ [SY2593: c] : SV848 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2761]) ).

thf(3084,plain,
    ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) ) )
      = $false )
    | ( ( ~ ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) ) )
      = $true )
    | ( ( ( finite772340578real_c
          @ ( produc314122909real_c
            @ ( denota161327353_a_b_c @ i @ oDEa
              @ ( produc394644079real_c
                @ ( finite557796307c_real
                  @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                @ bb )
              @ ( finite557796307c_real
                @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
          @ i2 )
        = ( finite772340578real_c @ bb @ i2 ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2762]) ).

thf(3085,plain,
    ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( denota1293057250_a_b_c @ i @ oDEa ) ) )
      = $false )
    | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( denota1293057250_a_b_c @ i @ oDEa ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2763]) ).

thf(3086,plain,
    ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( denota1293057250_a_b_c @ i @ oDEa ) ) )
      = $false )
    | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( denota1293057250_a_b_c @ i @ oDEa ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2763]) ).

thf(3087,plain,
    ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( denota1293057250_a_b_c @ i @ oDEa ) ) )
      = $false )
    | ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( denota1293057250_a_b_c @ i @ oDEa ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2764]) ).

thf(3088,plain,
    ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( denota1293057250_a_b_c @ i @ oDEa ) ) )
      = $false )
    | ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( denota1293057250_a_b_c @ i @ oDEa ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2764]) ).

thf(3089,plain,
    ! [SV850: finite1398487019real_c,SV337: finite1398487019real_c] :
      ( ( ( ~ ( ( ord_le775706699real_c @ SV337 @ SV850 )
              | ! [SY2596: c] : ( ord_less_eq_real @ ( finite772340578real_c @ SV337 @ SY2596 ) @ ( finite772340578real_c @ SV850 @ SY2596 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ord_le775706699real_c @ SV337 @ SV850 )
              | ~ ! [SY2596: c] : ( ord_less_eq_real @ ( finite772340578real_c @ SV337 @ SY2596 ) @ ( finite772340578real_c @ SV850 @ SY2596 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2765]) ).

thf(3090,plain,
    ! [SV338: finite1398487019real_c,SV7: finite1398487019real_c] :
      ( ( ( ( finite772340578real_c @ SV7 )
          = ( finite772340578real_c @ SV338 ) )
        = $false )
      | ( ( ~ ( ( ( finite772340578real_c @ SV7 )
               != ( finite772340578real_c @ SV338 ) )
              | ( SV7 != SV338 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2767]) ).

thf(3091,plain,
    ! [SV338: finite1398487019real_c,SV7: finite1398487019real_c] :
      ( ( ( SV7 = SV338 )
        = $false )
      | ( ( ~ ( ( ( finite772340578real_c @ SV7 )
               != ( finite772340578real_c @ SV338 ) )
              | ( SV7 != SV338 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2767]) ).

thf(3092,plain,
    ! [SV851: finite1398487019real_c,SV339: finite1398487019real_c] :
      ( ( ( ~ ( ( SV339 = SV851 )
              | ! [SY2597: c] :
                  ( ( finite772340578real_c @ SV339 @ SY2597 )
                  = ( finite772340578real_c @ SV851 @ SY2597 ) ) ) )
        = $true )
      | ( ( ~ ( ( SV339 != SV851 )
              | ~ ! [SY2597: c] :
                    ( ( finite772340578real_c @ SV339 @ SY2597 )
                    = ( finite772340578real_c @ SV851 @ SY2597 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2768]) ).

thf(3093,plain,
    ! [SV340: sum_sum_c_c > $o,SV9: sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ SV9 @ ( collect_Sum_sum_c_c @ SV340 ) )
        = $false )
      | ( ( ~ ( ~ ( member_Sum_sum_c_c @ SV9 @ ( collect_Sum_sum_c_c @ SV340 ) )
              | ~ ( SV340 @ SV9 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2770]) ).

thf(3094,plain,
    ! [SV9: sum_sum_c_c,SV340: sum_sum_c_c > $o] :
      ( ( ( SV340 @ SV9 )
        = $false )
      | ( ( ~ ( ~ ( member_Sum_sum_c_c @ SV9 @ ( collect_Sum_sum_c_c @ SV340 ) )
              | ~ ( SV340 @ SV9 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2770]) ).

thf(3095,plain,
    ! [SV341: sum_sum_c_d > $o,SV10: sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ SV10 @ ( collect_Sum_sum_c_d @ SV341 ) )
        = $false )
      | ( ( ~ ( ~ ( member_Sum_sum_c_d @ SV10 @ ( collect_Sum_sum_c_d @ SV341 ) )
              | ~ ( SV341 @ SV10 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2771]) ).

thf(3096,plain,
    ! [SV10: sum_sum_c_d,SV341: sum_sum_c_d > $o] :
      ( ( ( SV341 @ SV10 )
        = $false )
      | ( ( ~ ( ~ ( member_Sum_sum_c_d @ SV10 @ ( collect_Sum_sum_c_d @ SV341 ) )
              | ~ ( SV341 @ SV10 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2771]) ).

thf(3097,plain,
    ! [SV342: produc190496183real_c > $o,SV11: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV11 @ ( collec1643251106real_c @ SV342 ) )
        = $false )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV11 @ ( collec1643251106real_c @ SV342 ) )
              | ~ ( SV342 @ SV11 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2772]) ).

thf(3098,plain,
    ! [SV11: produc190496183real_c,SV342: produc190496183real_c > $o] :
      ( ( ( SV342 @ SV11 )
        = $false )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV11 @ ( collec1643251106real_c @ SV342 ) )
              | ~ ( SV342 @ SV11 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2772]) ).

thf(3099,plain,
    ! [SV343: ( real > finite1398487019real_c ) > $o,SV12: real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ SV12 @ ( collec913357835real_c @ SV343 ) )
        = $false )
      | ( ( ~ ( ~ ( member1321351885real_c @ SV12 @ ( collec913357835real_c @ SV343 ) )
              | ~ ( SV343 @ SV12 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2773]) ).

thf(3100,plain,
    ! [SV12: real > finite1398487019real_c,SV343: ( real > finite1398487019real_c ) > $o] :
      ( ( ( SV343 @ SV12 )
        = $false )
      | ( ( ~ ( ~ ( member1321351885real_c @ SV12 @ ( collec913357835real_c @ SV343 ) )
              | ~ ( SV343 @ SV12 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2773]) ).

thf(3101,plain,
    ! [SV344: finite1398487019real_c > $o,SV13: finite1398487019real_c] :
      ( ( ( member1261661570real_c @ SV13 @ ( collec230941376real_c @ SV344 ) )
        = $false )
      | ( ( ~ ( ~ ( member1261661570real_c @ SV13 @ ( collec230941376real_c @ SV344 ) )
              | ~ ( SV344 @ SV13 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2774]) ).

thf(3102,plain,
    ! [SV13: finite1398487019real_c,SV344: finite1398487019real_c > $o] :
      ( ( ( SV344 @ SV13 )
        = $false )
      | ( ( ~ ( ~ ( member1261661570real_c @ SV13 @ ( collec230941376real_c @ SV344 ) )
              | ~ ( SV344 @ SV13 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2774]) ).

thf(3103,plain,
    ! [SV345: c > $o,SV14: c] :
      ( ( ( member_c @ SV14 @ ( collect_c @ SV345 ) )
        = $false )
      | ( ( ~ ( ~ ( member_c @ SV14 @ ( collect_c @ SV345 ) )
              | ~ ( SV345 @ SV14 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2775]) ).

thf(3104,plain,
    ! [SV14: c,SV345: c > $o] :
      ( ( ( SV345 @ SV14 )
        = $false )
      | ( ( ~ ( ~ ( member_c @ SV14 @ ( collect_c @ SV345 ) )
              | ~ ( SV345 @ SV14 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2775]) ).

thf(3105,plain,
    ! [SV348: c > real,SV24: finite1398487019real_c] :
      ( ( ( ! [SY1885: c] :
              ( ( finite772340578real_c @ SV24 @ SY1885 )
              = ( SV348 @ SY1885 ) ) )
        = $false )
      | ( ( ~ ( ~ ! [SY1885: c] :
                    ( ( finite772340578real_c @ SV24 @ SY1885 )
                    = ( SV348 @ SY1885 ) )
              | ( ( finite557796307c_real @ SV348 )
               != SV24 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2776]) ).

thf(3106,plain,
    ! [SV24: finite1398487019real_c,SV348: c > real] :
      ( ( ( ( finite557796307c_real @ SV348 )
          = SV24 )
        = $false )
      | ( ( ~ ( ~ ! [SY1885: c] :
                    ( ( finite772340578real_c @ SV24 @ SY1885 )
                    = ( SV348 @ SY1885 ) )
              | ( ( finite557796307c_real @ SV348 )
               != SV24 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2776]) ).

thf(3107,plain,
    ! [SV957: produc190496183real_c,SV852: oDE_a_c,SV349: denota231621370t_unit] :
      ( ( ( denota161327353_a_b_c @ SV349 @ SV852 @ SV957 )
        = ( ^ [SY2665: finite1398487019real_c] :
              ( produc394644079real_c
              @ ( finite557796307c_real
                @ ^ [SY2666: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2666 ) @ ( denota1293057250_a_b_c @ SV349 @ SV852 ) ) @ SY2665 @ ( produc2010422875real_c @ SV957 ) ) @ SY2666 ) )
              @ ( finite557796307c_real
                @ ^ [SY2667: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2667 ) @ ( denota1293057250_a_b_c @ SV349 @ SV852 ) ) @ ( denota1275485728_a_b_c @ SV349 @ SV852 @ SY2665 ) @ ( produc314122909real_c @ SV957 ) ) @ SY2667 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2777]) ).

thf(3108,plain,
    ! [SV958: produc190496183real_c,SV853: oDE_a_c,SV350: denota231621370t_unit] :
      ( ( ( denota310462944_a_b_c @ SV350 @ SV853 @ SV958 )
        = ( ^ [SY2668: finite1398487019real_c] :
              ( produc394644079real_c
              @ ( finite557796307c_real
                @ ^ [SY2669: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2669 ) @ ( denota1293057250_a_b_c @ SV350 @ SV853 ) ) @ SY2668 @ ( produc2010422875real_c @ SV958 ) ) @ SY2669 ) )
              @ ( finite557796307c_real
                @ ^ [SY2670: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2670 ) @ ( denota1293057250_a_b_c @ SV350 @ SV853 ) ) @ ( denota1275485728_a_b_c @ SV350 @ SV853 @ SY2668 ) @ ( produc314122909real_c @ SV958 ) ) @ SY2670 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2779]) ).

thf(3109,plain,
    ! [SV29: real] :
      ( ( ( ( zero_zero_real
           != ( uminus_uminus_real @ SV29 ) )
          | ( zero_zero_real != SV29 ) )
        = $false )
      | ( ( zero_zero_real
          = ( uminus_uminus_real @ SV29 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2781]) ).

thf(3110,plain,
    ! [SV29: real] :
      ( ( ( ( zero_zero_real
           != ( uminus_uminus_real @ SV29 ) )
          | ( zero_zero_real != SV29 ) )
        = $false )
      | ( ( zero_zero_real = SV29 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2782]) ).

thf(3111,plain,
    ! [SV30: real] :
      ( ( ( ( ( uminus_uminus_real @ SV30 )
           != zero_zero_real )
          | ( SV30 != zero_zero_real ) )
        = $false )
      | ( ( ( uminus_uminus_real @ SV30 )
          = zero_zero_real )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2783]) ).

thf(3112,plain,
    ! [SV30: real] :
      ( ( ( ( ( uminus_uminus_real @ SV30 )
           != zero_zero_real )
          | ( SV30 != zero_zero_real ) )
        = $false )
      | ( ( SV30 = zero_zero_real )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2784]) ).

thf(3113,plain,
    ! [SV31: real] :
      ( ( ( ( SV31
           != ( uminus_uminus_real @ SV31 ) )
          | ( SV31 != zero_zero_real ) )
        = $false )
      | ( ( SV31
          = ( uminus_uminus_real @ SV31 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2785]) ).

thf(3114,plain,
    ! [SV31: real] :
      ( ( ( ( SV31
           != ( uminus_uminus_real @ SV31 ) )
          | ( SV31 != zero_zero_real ) )
        = $false )
      | ( ( SV31 = zero_zero_real )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2786]) ).

thf(3115,plain,
    ! [SV32: real] :
      ( ( ( ( ( uminus_uminus_real @ SV32 )
           != SV32 )
          | ( SV32 != zero_zero_real ) )
        = $false )
      | ( ( ( uminus_uminus_real @ SV32 )
          = SV32 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2787]) ).

thf(3116,plain,
    ! [SV32: real] :
      ( ( ( ( ( uminus_uminus_real @ SV32 )
           != SV32 )
          | ( SV32 != zero_zero_real ) )
        = $false )
      | ( ( SV32 = zero_zero_real )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2788]) ).

thf(3117,plain,
    ! [SV351: real,SV33: real] :
      ( ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV33 ) @ ( uminus_uminus_real @ SV351 ) )
        = $false )
      | ( ( ~ ( ~ ( ord_less_eq_real @ ( uminus_uminus_real @ SV33 ) @ ( uminus_uminus_real @ SV351 ) )
              | ~ ( ord_less_eq_real @ SV351 @ SV33 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2789]) ).

thf(3118,plain,
    ! [SV33: real,SV351: real] :
      ( ( ( ord_less_eq_real @ SV351 @ SV33 )
        = $false )
      | ( ( ~ ( ~ ( ord_less_eq_real @ ( uminus_uminus_real @ SV33 ) @ ( uminus_uminus_real @ SV351 ) )
              | ~ ( ord_less_eq_real @ SV351 @ SV33 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2789]) ).

thf(3119,plain,
    ! [SV39: real] :
      ( ( ( ~ ( ord_less_eq_real @ ( uminus_uminus_real @ SV39 ) @ SV39 )
          | ~ ( ord_less_eq_real @ zero_zero_real @ SV39 ) )
        = $false )
      | ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV39 ) @ SV39 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2790]) ).

thf(3120,plain,
    ! [SV39: real] :
      ( ( ( ~ ( ord_less_eq_real @ ( uminus_uminus_real @ SV39 ) @ SV39 )
          | ~ ( ord_less_eq_real @ zero_zero_real @ SV39 ) )
        = $false )
      | ( ( ord_less_eq_real @ zero_zero_real @ SV39 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2791]) ).

thf(3121,plain,
    ! [SV40: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV40 @ ( uminus_uminus_real @ SV40 ) )
          | ~ ( ord_less_eq_real @ SV40 @ zero_zero_real ) )
        = $false )
      | ( ( ord_less_eq_real @ SV40 @ ( uminus_uminus_real @ SV40 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2792]) ).

thf(3122,plain,
    ! [SV40: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV40 @ ( uminus_uminus_real @ SV40 ) )
          | ~ ( ord_less_eq_real @ SV40 @ zero_zero_real ) )
        = $false )
      | ( ( ord_less_eq_real @ SV40 @ zero_zero_real )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2793]) ).

thf(3123,plain,
    ! [SV41: real] :
      ( ( ( ~ ( ord_less_eq_real @ ( uminus_uminus_real @ SV41 ) @ zero_zero_real )
          | ~ ( ord_less_eq_real @ zero_zero_real @ SV41 ) )
        = $false )
      | ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV41 ) @ zero_zero_real )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2794]) ).

thf(3124,plain,
    ! [SV41: real] :
      ( ( ( ~ ( ord_less_eq_real @ ( uminus_uminus_real @ SV41 ) @ zero_zero_real )
          | ~ ( ord_less_eq_real @ zero_zero_real @ SV41 ) )
        = $false )
      | ( ( ord_less_eq_real @ zero_zero_real @ SV41 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2795]) ).

thf(3125,plain,
    ! [SV42: real] :
      ( ( ( ~ ( ord_less_eq_real @ zero_zero_real @ ( uminus_uminus_real @ SV42 ) )
          | ~ ( ord_less_eq_real @ SV42 @ zero_zero_real ) )
        = $false )
      | ( ( ord_less_eq_real @ zero_zero_real @ ( uminus_uminus_real @ SV42 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2796]) ).

thf(3126,plain,
    ! [SV42: real] :
      ( ( ( ~ ( ord_less_eq_real @ zero_zero_real @ ( uminus_uminus_real @ SV42 ) )
          | ~ ( ord_less_eq_real @ SV42 @ zero_zero_real ) )
        = $false )
      | ( ( ord_less_eq_real @ SV42 @ zero_zero_real )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2797]) ).

thf(3127,plain,
    ! [SV355: real,SV43: real] :
      ( ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV43 ) @ SV355 )
        = $false )
      | ( ( ~ ( ~ ( ord_less_eq_real @ ( uminus_uminus_real @ SV43 ) @ SV355 )
              | ~ ( ord_less_eq_real @ ( uminus_uminus_real @ SV355 ) @ SV43 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2798]) ).

thf(3128,plain,
    ! [SV43: real,SV355: real] :
      ( ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV355 ) @ SV43 )
        = $false )
      | ( ( ~ ( ~ ( ord_less_eq_real @ ( uminus_uminus_real @ SV43 ) @ SV355 )
              | ~ ( ord_less_eq_real @ ( uminus_uminus_real @ SV355 ) @ SV43 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2798]) ).

thf(3129,plain,
    ! [SV356: real,SV44: real] :
      ( ( ( ord_less_eq_real @ SV44 @ ( uminus_uminus_real @ SV356 ) )
        = $false )
      | ( ( ~ ( ~ ( ord_less_eq_real @ SV44 @ ( uminus_uminus_real @ SV356 ) )
              | ~ ( ord_less_eq_real @ SV356 @ ( uminus_uminus_real @ SV44 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2799]) ).

thf(3130,plain,
    ! [SV44: real,SV356: real] :
      ( ( ( ord_less_eq_real @ SV356 @ ( uminus_uminus_real @ SV44 ) )
        = $false )
      | ( ( ~ ( ~ ( ord_less_eq_real @ SV44 @ ( uminus_uminus_real @ SV356 ) )
              | ~ ( ord_less_eq_real @ SV356 @ ( uminus_uminus_real @ SV44 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2799]) ).

thf(3131,plain,
    ! [SV959: finite1398487019real_c,SV854: oDE_a_c,SV360: denota231621370t_unit] :
      ( ( ( denota1896987029_a_b_c @ SV360 @ SV854 @ SV959 )
        = ( produc394644079real_c @ SV959 @ ( denota1275485728_a_b_c @ SV360 @ SV854 @ SV959 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2800]) ).

thf(3132,plain,
    ! [SV49: real] :
      ( ( ( ( zero_zero_real != SV49 )
          | ( SV49 != zero_zero_real ) )
        = $false )
      | ( ( zero_zero_real = SV49 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2802]) ).

thf(3133,plain,
    ! [SV49: real] :
      ( ( ( ( zero_zero_real != SV49 )
          | ( SV49 != zero_zero_real ) )
        = $false )
      | ( ( SV49 = zero_zero_real )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2803]) ).

thf(3134,plain,
    ! [SV644: oDE_a_c,SV362: denota231621370t_unit,SV51: c] :
      ( ( ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SV51 ) @ ( denota1293057250_a_b_c @ SV362 @ SV644 ) )
          | ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SV51 ) @ ( denota1293057250_a_b_c @ SV362 @ SV644 ) ) )
        = $false )
      | ( ( ~ ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SV51 ) @ ( denota1293057250_a_b_c @ SV362 @ SV644 ) )
              | ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SV51 ) @ ( denota1293057250_a_b_c @ SV362 @ SV644 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2804]) ).

thf(3135,plain,
    ! [SV363: set_Sum_sum_c_c,SV52: set_Sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SV52 ) @ ( uminus1381786404um_c_c @ SV363 ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SV52 ) @ ( uminus1381786404um_c_c @ SV363 ) )
              | ~ ( ord_le1772180283um_c_c @ SV363 @ SV52 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2805]) ).

thf(3136,plain,
    ! [SV52: set_Sum_sum_c_c,SV363: set_Sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ SV363 @ SV52 )
        = $false )
      | ( ( ~ ( ~ ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SV52 ) @ ( uminus1381786404um_c_c @ SV363 ) )
              | ~ ( ord_le1772180283um_c_c @ SV363 @ SV52 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2805]) ).

thf(3137,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ~ ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ ( equiv_a_b_c @ SV645 @ SV855 ) ) )
              | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
                = ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ ( equiv_a_b_c @ SV645 @ SV855 ) ) )
              | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
               != ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2806]) ).

thf(3138,plain,
    ! [SV365: set_Sum_sum_c_c,SV55: set_Sum_sum_c_c] :
      ( ( ( ( uminus1381786404um_c_c @ SV55 )
          = ( uminus1381786404um_c_c @ SV365 ) )
        = $false )
      | ( ( ~ ( ( ( uminus1381786404um_c_c @ SV55 )
               != ( uminus1381786404um_c_c @ SV365 ) )
              | ( SV55 != SV365 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2808]) ).

thf(3139,plain,
    ! [SV365: set_Sum_sum_c_c,SV55: set_Sum_sum_c_c] :
      ( ( ( SV55 = SV365 )
        = $false )
      | ( ( ~ ( ( ( uminus1381786404um_c_c @ SV55 )
               != ( uminus1381786404um_c_c @ SV365 ) )
              | ( SV55 != SV365 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2808]) ).

thf(3140,plain,
    ! [SV368: set_Sum_sum_c_c,SV58: set_Sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SV58 ) @ ( uminus1381786404um_c_c @ SV368 ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SV58 ) @ ( uminus1381786404um_c_c @ SV368 ) )
              | ~ ( ord_le1772180283um_c_c @ SV368 @ SV58 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2809]) ).

thf(3141,plain,
    ! [SV58: set_Sum_sum_c_c,SV368: set_Sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ SV368 @ SV58 )
        = $false )
      | ( ( ~ ( ~ ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SV58 ) @ ( uminus1381786404um_c_c @ SV368 ) )
              | ~ ( ord_le1772180283um_c_c @ SV368 @ SV58 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2809]) ).

thf(3142,plain,
    ! [SV369: set_Sum_sum_c_c,SV59: set_Sum_sum_c_c] :
      ( ( ( ( uminus1381786404um_c_c @ SV59 )
          = ( uminus1381786404um_c_c @ SV369 ) )
        = $false )
      | ( ( ~ ( ( ( uminus1381786404um_c_c @ SV59 )
               != ( uminus1381786404um_c_c @ SV369 ) )
              | ( SV59 != SV369 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2810]) ).

thf(3143,plain,
    ! [SV369: set_Sum_sum_c_c,SV59: set_Sum_sum_c_c] :
      ( ( ( SV59 = SV369 )
        = $false )
      | ( ( ~ ( ( ( uminus1381786404um_c_c @ SV59 )
               != ( uminus1381786404um_c_c @ SV369 ) )
              | ( SV59 != SV369 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2810]) ).

thf(3144,plain,
    ! [SV370: set_c,SV60: c] :
      ( ( ( member_c @ SV60 @ ( uminus_uminus_set_c @ SV370 ) )
        = $false )
      | ( ( ~ ( ~ ( member_c @ SV60 @ ( uminus_uminus_set_c @ SV370 ) )
              | ~ ~ ( member_c @ SV60 @ SV370 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2811]) ).

thf(3145,plain,
    ! [SV370: set_c,SV60: c] :
      ( ( ( ~ ( member_c @ SV60 @ SV370 ) )
        = $false )
      | ( ( ~ ( ~ ( member_c @ SV60 @ ( uminus_uminus_set_c @ SV370 ) )
              | ~ ~ ( member_c @ SV60 @ SV370 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2811]) ).

thf(3146,plain,
    ! [SV371: set_Sum_sum_c_d,SV61: sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ SV61 @ ( uminus373867045um_c_d @ SV371 ) )
        = $false )
      | ( ( ~ ( ~ ( member_Sum_sum_c_d @ SV61 @ ( uminus373867045um_c_d @ SV371 ) )
              | ~ ~ ( member_Sum_sum_c_d @ SV61 @ SV371 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2812]) ).

thf(3147,plain,
    ! [SV371: set_Sum_sum_c_d,SV61: sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_d @ SV61 @ SV371 ) )
        = $false )
      | ( ( ~ ( ~ ( member_Sum_sum_c_d @ SV61 @ ( uminus373867045um_c_d @ SV371 ) )
              | ~ ~ ( member_Sum_sum_c_d @ SV61 @ SV371 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2812]) ).

thf(3148,plain,
    ! [SV372: set_Pr1389752855real_c,SV62: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV62 @ ( uminus232257166real_c @ SV372 ) )
        = $false )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV62 @ ( uminus232257166real_c @ SV372 ) )
              | ~ ~ ( member1895684704real_c @ SV62 @ SV372 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2813]) ).

thf(3149,plain,
    ! [SV372: set_Pr1389752855real_c,SV62: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV62 @ SV372 ) )
        = $false )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV62 @ ( uminus232257166real_c @ SV372 ) )
              | ~ ~ ( member1895684704real_c @ SV62 @ SV372 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2813]) ).

thf(3150,plain,
    ! [SV373: set_re2066790124real_c,SV63: real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ SV63 @ ( uminus946614837real_c @ SV373 ) )
        = $false )
      | ( ( ~ ( ~ ( member1321351885real_c @ SV63 @ ( uminus946614837real_c @ SV373 ) )
              | ~ ~ ( member1321351885real_c @ SV63 @ SV373 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2814]) ).

thf(3151,plain,
    ! [SV373: set_re2066790124real_c,SV63: real > finite1398487019real_c] :
      ( ( ( ~ ( member1321351885real_c @ SV63 @ SV373 ) )
        = $false )
      | ( ( ~ ( ~ ( member1321351885real_c @ SV63 @ ( uminus946614837real_c @ SV373 ) )
              | ~ ~ ( member1321351885real_c @ SV63 @ SV373 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2814]) ).

thf(3152,plain,
    ! [SV374: set_Sum_sum_c_c,SV64: sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ SV64 @ ( uminus1381786404um_c_c @ SV374 ) )
        = $false )
      | ( ( ~ ( ~ ( member_Sum_sum_c_c @ SV64 @ ( uminus1381786404um_c_c @ SV374 ) )
              | ~ ~ ( member_Sum_sum_c_c @ SV64 @ SV374 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2815]) ).

thf(3153,plain,
    ! [SV374: set_Sum_sum_c_c,SV64: sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ SV64 @ SV374 ) )
        = $false )
      | ( ( ~ ( ~ ( member_Sum_sum_c_c @ SV64 @ ( uminus1381786404um_c_c @ SV374 ) )
              | ~ ~ ( member_Sum_sum_c_c @ SV64 @ SV374 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2815]) ).

thf(3154,plain,
    ! [SV856: set_Sum_sum_c_c,SV381: set_Sum_sum_c_c] :
      ( ( ( ~ ( ( ord_le1772180283um_c_c @ SV381 @ SV856 )
              | ( ord_le1315653386_c_c_o
                @ ^ [SY1915: sum_sum_c_c] : ( member_Sum_sum_c_c @ SY1915 @ SV381 )
                @ ^ [SY2608: sum_sum_c_c] : ( member_Sum_sum_c_c @ SY2608 @ SV856 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV381 @ SV856 )
              | ~ ( ord_le1315653386_c_c_o
                  @ ^ [SY1915: sum_sum_c_c] : ( member_Sum_sum_c_c @ SY1915 @ SV381 )
                  @ ^ [SY2608: sum_sum_c_c] : ( member_Sum_sum_c_c @ SY2608 @ SV856 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2816]) ).

thf(3155,plain,
    ! [SV857: set_c,SV382: set_c] :
      ( ( ( ~ ( ( ord_less_eq_set_c @ SV382 @ SV857 )
              | ( ord_less_eq_c_o
                @ ^ [SY1918: c] : ( member_c @ SY1918 @ SV382 )
                @ ^ [SY2610: c] : ( member_c @ SY2610 @ SV857 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ord_less_eq_set_c @ SV382 @ SV857 )
              | ~ ( ord_less_eq_c_o
                  @ ^ [SY1918: c] : ( member_c @ SY1918 @ SV382 )
                  @ ^ [SY2610: c] : ( member_c @ SY2610 @ SV857 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2818]) ).

thf(3156,plain,
    ! [SV858: set_Sum_sum_c_d,SV383: set_Sum_sum_c_d] :
      ( ( ( ~ ( ( ord_le764260924um_c_d @ SV383 @ SV858 )
              | ( ord_le2143422793_c_d_o
                @ ^ [SY1921: sum_sum_c_d] : ( member_Sum_sum_c_d @ SY1921 @ SV383 )
                @ ^ [SY2612: sum_sum_c_d] : ( member_Sum_sum_c_d @ SY2612 @ SV858 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ord_le764260924um_c_d @ SV383 @ SV858 )
              | ~ ( ord_le2143422793_c_d_o
                  @ ^ [SY1921: sum_sum_c_d] : ( member_Sum_sum_c_d @ SY1921 @ SV383 )
                  @ ^ [SY2612: sum_sum_c_d] : ( member_Sum_sum_c_d @ SY2612 @ SV858 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2820]) ).

thf(3157,plain,
    ! [SV859: set_Pr1389752855real_c,SV384: set_Pr1389752855real_c] :
      ( ( ( ~ ( ( ord_le977353143real_c @ SV384 @ SV859 )
              | ( ord_le1132241894al_c_o
                @ ^ [SY1924: produc190496183real_c] : ( member1895684704real_c @ SY1924 @ SV384 )
                @ ^ [SY2614: produc190496183real_c] : ( member1895684704real_c @ SY2614 @ SV859 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ord_le977353143real_c @ SV384 @ SV859 )
              | ~ ( ord_le1132241894al_c_o
                  @ ^ [SY1924: produc190496183real_c] : ( member1895684704real_c @ SY1924 @ SV384 )
                  @ ^ [SY2614: produc190496183real_c] : ( member1895684704real_c @ SY2614 @ SV859 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2822]) ).

thf(3158,plain,
    ! [SV860: set_re2066790124real_c,SV385: set_re2066790124real_c] :
      ( ( ( ~ ( ( ord_le35002188real_c @ SV385 @ SV860 )
              | ( ord_le818951225al_c_o
                @ ^ [SY1927: real > finite1398487019real_c] : ( member1321351885real_c @ SY1927 @ SV385 )
                @ ^ [SY2616: real > finite1398487019real_c] : ( member1321351885real_c @ SY2616 @ SV860 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ord_le35002188real_c @ SV385 @ SV860 )
              | ~ ( ord_le818951225al_c_o
                  @ ^ [SY1927: real > finite1398487019real_c] : ( member1321351885real_c @ SY1927 @ SV385 )
                  @ ^ [SY2616: real > finite1398487019real_c] : ( member1321351885real_c @ SY2616 @ SV860 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2824]) ).

thf(3159,plain,
    ! [SV960: real,SV861: c,SV398: produc190496183real_c] :
      ( ( ( denotational_repd_c @ SV398 @ SV861 @ SV960 )
        = ( produc394644079real_c @ ( produc2010422875real_c @ SV398 )
          @ ( finite557796307c_real
            @ ^ [SY2671: c] : ( if_real @ ( SV861 = SY2671 ) @ SV960 @ ( finite772340578real_c @ ( produc314122909real_c @ SV398 ) @ SY2671 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2826]) ).

thf(3160,plain,
    ! [SV658: set_Sum_sum_c_c,SV399: set_c,SV93: c > sum_sum_c_c] :
      ( ( ( ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV93 @ SV399 ) @ SV658 )
          | ( member_c_Sum_sum_c_c @ SV93
            @ ( pi_c_Sum_sum_c_c @ SV399
              @ ^ [SY2391: c] : SV658 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV93 @ SV399 ) @ SV658 )
              | ~ ( member_c_Sum_sum_c_c @ SV93
                  @ ( pi_c_Sum_sum_c_c @ SV399
                    @ ^ [SY2391: c] : SV658 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2828]) ).

thf(3161,plain,
    ! [SV659: set_Sum_sum_c_d,SV400: set_c,SV94: c > sum_sum_c_d] :
      ( ( ( ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV94 @ SV400 ) @ SV659 )
          | ( member_c_Sum_sum_c_d @ SV94
            @ ( pi_c_Sum_sum_c_d @ SV400
              @ ^ [SY2392: c] : SV659 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV94 @ SV400 ) @ SV659 )
              | ~ ( member_c_Sum_sum_c_d @ SV94
                  @ ( pi_c_Sum_sum_c_d @ SV400
                    @ ^ [SY2392: c] : SV659 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2829]) ).

thf(3162,plain,
    ! [SV660: set_Fi1407883041real_c,SV401: set_real,SV95: real > finite1398487019real_c] :
      ( ( ( ( ord_le1327118209real_c @ ( image_327677598real_c @ SV95 @ SV401 ) @ SV660 )
          | ( member1321351885real_c @ SV95
            @ ( pi_rea1111636068real_c @ SV401
              @ ^ [SY2393: real] : SV660 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le1327118209real_c @ ( image_327677598real_c @ SV95 @ SV401 ) @ SV660 )
              | ~ ( member1321351885real_c @ SV95
                  @ ( pi_rea1111636068real_c @ SV401
                    @ ^ [SY2393: real] : SV660 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2830]) ).

thf(3163,plain,
    ! [SV98: $o] :
      ( ( SV98 = $false )
      | ( ( ~ ( ~ SV98
              | ~ $true ) )
        = $true )
      | ( ( SV98 = $false )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2831]) ).

thf(3164,plain,
    ! [SV98: $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ SV98
              | ~ $true ) )
        = $true )
      | ( ( SV98 = $false )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2831]) ).

thf(3165,plain,
    ! [SV98: $o] :
      ( ( ( SV98
          | $false )
        = $false )
      | ( ( ~ ( ~ SV98
              | ~ $false ) )
        = $true )
      | ( ( SV98 = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2832]) ).

thf(3166,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ $true
            | ~ $true ) )
      = $true )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2833]) ).

thf(3167,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ $true
            | ~ $true ) )
      = $true )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2833]) ).

thf(3168,plain,
    ( ( ( $true
        | $false )
      = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2834]) ).

thf(3169,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $false
            | ~ $true ) )
      = $true )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2835]) ).

thf(3170,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ $false
            | ~ $true ) )
      = $true )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2835]) ).

thf(3171,plain,
    ( ( ( $false
        | $false )
      = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2836]) ).

thf(3172,plain,
    ! [SV406: set_Sum_sum_c_d,SV101: set_Sum_sum_c_d,SV661: sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_d @ SV661 @ SV101 ) )
        = $true )
      | ( ( member_Sum_sum_c_d @ SV661 @ SV406 )
        = $true )
      | ( ( ord_le764260924um_c_d @ SV101 @ SV406 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2837]) ).

thf(3173,plain,
    ! [SV102: set_Sum_sum_c_d,SV407: set_Sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_d @ ( sK4_SY1951 @ SV407 @ SV102 ) @ SV102 ) )
        = $false )
      | ( ( ord_le764260924um_c_d @ SV102 @ SV407 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2838]) ).

thf(3174,plain,
    ! [SV102: set_Sum_sum_c_d,SV407: set_Sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ ( sK4_SY1951 @ SV407 @ SV102 ) @ SV407 )
        = $false )
      | ( ( ord_le764260924um_c_d @ SV102 @ SV407 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2838]) ).

thf(3175,plain,
    ! [SV862: real,SV662: set_Fi1407883041real_c,SV408: set_real,SV103: real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ SV103
          @ ( pi_rea1111636068real_c @ SV408
            @ ^ [SY2395: real] : SV662 ) )
        = $false )
      | ( ( ~ ( member_real @ SV862 @ SV408 )
          | ( member1261661570real_c @ ( SV103 @ SV862 ) @ SV662 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2839]) ).

thf(3176,plain,
    ! [SV863: sum_sum_c_c,SV663: sum_sum_c_c > set_c,SV409: set_Sum_sum_c_c,SV104: sum_sum_c_c > c] :
      ( ( ( member_Sum_sum_c_c_c @ SV104 @ ( pi_Sum_sum_c_c_c @ SV409 @ SV663 ) )
        = $false )
      | ( ( ~ ( member_Sum_sum_c_c @ SV863 @ SV409 )
          | ( member_c @ ( SV104 @ SV863 ) @ ( SV663 @ SV863 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2840]) ).

thf(3177,plain,
    ! [SV410: set_c,SV105: set_c,SV664: c] :
      ( ( ( ~ ( member_c @ SV664 @ SV105 ) )
        = $true )
      | ( ( member_c @ SV664 @ SV410 )
        = $true )
      | ( ( ord_less_eq_set_c @ SV105 @ SV410 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2841]) ).

thf(3178,plain,
    ! [SV864: real > finite1398487019real_c,SV665: set_re2066790124real_c,SV411: set_re2066790124real_c,SV106: ( real > finite1398487019real_c ) > real > finite1398487019real_c] :
      ( ( ( member1851015714real_c @ SV106
          @ ( pi_rea1386151481real_c @ SV411
            @ ^ [SY2398: real > finite1398487019real_c] : SV665 ) )
        = $false )
      | ( ( ~ ( member1321351885real_c @ SV864 @ SV411 )
          | ( member1321351885real_c @ ( SV106 @ SV864 ) @ SV665 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2842]) ).

thf(3179,plain,
    ! [SV865: finite1398487019real_c,SV666: finite1398487019real_c,SV412: finite1398487019real_c,SV107: finite1398487019real_c] :
      ( ( ( ~ ( ( ( produc394644079real_c @ SV107 @ SV412 )
                = ( produc394644079real_c @ SV666 @ SV865 ) )
              | ~ ( ( SV107 != SV666 )
                  | ( SV412 != SV865 ) ) ) )
        = $true )
      | ( ( ~ ( ( ( produc394644079real_c @ SV107 @ SV412 )
               != ( produc394644079real_c @ SV666 @ SV865 ) )
              | ~ ~ ( ( SV107 != SV666 )
                    | ( SV412 != SV865 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2843]) ).

thf(3180,plain,
    ! [SV668: set_c,SV414: c > sum_sum_c_d,SV109: set_Sum_sum_c_d] :
      ( ( ( ( ord_le764260924um_c_d @ SV109 @ ( image_c_Sum_sum_c_d @ SV414 @ SV668 ) )
          | ~ ! [SY2402: set_c] :
                ~ ~ ( ~ ( ord_less_eq_set_c @ SY2402 @ SV668 )
                    | ( SV109
                     != ( image_c_Sum_sum_c_d @ SV414 @ SY2402 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le764260924um_c_d @ SV109 @ ( image_c_Sum_sum_c_d @ SV414 @ SV668 ) )
              | ~ ~ ! [SY2402: set_c] :
                      ~ ~ ( ~ ( ord_less_eq_set_c @ SY2402 @ SV668 )
                          | ( SV109
                           != ( image_c_Sum_sum_c_d @ SV414 @ SY2402 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2845]) ).

thf(3181,plain,
    ! [SV110: produc190496183real_c,SV415: denota231621370t_unit,SV669: oDE_a_c,SV866: finite1398487019real_c] :
      ( ( ~ ~ ( ~ ( denota1997846518gree_c @ ( sK15_SY2621 @ SV866 @ SV669 @ SV415 @ SV110 ) @ SV110 @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ SV415 @ SV669 ) ) )
              | ~ ( denota1997846518gree_c @ ( sK15_SY2621 @ SV866 @ SV669 @ SV415 @ SV110 ) @ ( denota1896987029_a_b_c @ SV415 @ SV669 @ SV866 ) @ ( denota1293057250_a_b_c @ SV415 @ SV669 ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[2846]) ).

thf(3182,plain,
    ( ( ( ode = oDEa )
      = $false )
    | ( ( ( p != phi )
        | ~ ( ord_less_eq_real @ zero_zero_real @ t )
        | ( ( produc394644079real_c @ aa @ ba )
         != ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
        | ~ ( initia1631504802real_c @ sol
            @ ^ [SX0: real] : ( denota1275485728_a_b_c @ i @ oDEa )
            @ ( set_or656347191t_real @ zero_zero_real @ t )
            @ ( collec230941376real_c
              @ ^ [SX0: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ SX0 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) )
        | ~ ( denota256060419gree_c @ ( sol @ zero_zero_real ) @ ab
            @ ( collect_c
              @ ^ [SX0: c] :
                  ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_BVO_a_c @ oDEa ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( static_FVO_a_c @ oDEa ) ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_FVF_a_b_c @ phi ) ) ) ) )
        | ( ab
          = ( finite557796307c_real
            @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
      = $true )
    | ( ( fsafe_a_b_c @ phi )
      = $false )
    | ( ( osafe_a_c @ oDEa )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2847]) ).

thf(3183,plain,
    ! [SV670: produc190496183real_c,SV417: produc190496183real_c,SV112: produc190496183real_c] :
      ( ( ( ( member1895684704real_c @ SV112 @ ( set_or385782508real_c @ SV417 @ SV670 ) )
          | ~ ( ~ ( ord_le850691415real_c @ SV417 @ SV112 )
              | ~ ( ord_le850691415real_c @ SV112 @ SV670 ) ) )
        = $false )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV112 @ ( set_or385782508real_c @ SV417 @ SV670 ) )
              | ~ ~ ( ~ ( ord_le850691415real_c @ SV417 @ SV112 )
                    | ~ ( ord_le850691415real_c @ SV112 @ SV670 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2848]) ).

thf(3184,plain,
    ! [SV867: set_c,SV671: c,SV418: c > sum_sum_c_d,SV113: sum_sum_c_d] :
      ( ( ( SV113
          = ( SV418 @ SV671 ) )
        = $false )
      | ( ( ~ ( member_c @ SV671 @ SV867 )
          | ( member_Sum_sum_c_d @ SV113 @ ( image_c_Sum_sum_c_d @ SV418 @ SV867 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2849]) ).

thf(3185,plain,
    ! [SV672: set_c,SV420: c > sum_sum_c_d,SV115: sum_sum_c_d] :
      ( ( ( ( member_Sum_sum_c_d @ SV115 @ ( image_c_Sum_sum_c_d @ SV420 @ SV672 ) )
          | ~ ! [SY2406: c] :
                ~ ~ ( ~ ( member_c @ SY2406 @ SV672 )
                    | ( SV115
                     != ( SV420 @ SY2406 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( member_Sum_sum_c_d @ SV115 @ ( image_c_Sum_sum_c_d @ SV420 @ SV672 ) )
              | ~ ~ ! [SY2406: c] :
                      ~ ~ ( ~ ( member_c @ SY2406 @ SV672 )
                          | ( SV115
                           != ( SV420 @ SY2406 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2850]) ).

thf(3186,plain,
    ! [SV116: set_c,SV421: c > real > finite1398487019real_c,SV673: set_re2066790124real_c] :
      ( ( ( ~ ( member_c @ ( sK16_SY2407 @ SV673 @ SV421 @ SV116 ) @ SV116 )
          | ( member1321351885real_c @ ( SV421 @ ( sK16_SY2407 @ SV673 @ SV421 @ SV116 ) ) @ SV673 ) )
        = $false )
      | ( ( member469531344real_c @ SV421
          @ ( pi_c_r41638571real_c @ SV116
            @ ^ [SY2408: c] : SV673 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2851]) ).

thf(3187,plain,
    ! [SV674: real,SV422: real,SV117: real] :
      ( ( ( ( member_real @ SV117 @ ( set_or656347191t_real @ SV422 @ SV674 ) )
          | ~ ( ~ ( ord_less_eq_real @ SV422 @ SV117 )
              | ~ ( ord_less_eq_real @ SV117 @ SV674 ) ) )
        = $false )
      | ( ( ~ ( ~ ( member_real @ SV117 @ ( set_or656347191t_real @ SV422 @ SV674 ) )
              | ~ ~ ( ~ ( ord_less_eq_real @ SV422 @ SV117 )
                    | ~ ( ord_less_eq_real @ SV117 @ SV674 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2854]) ).

thf(3188,plain,
    ! [SV675: set_Sum_sum_c_c,SV423: sum_sum_c_c > c,SV118: c] :
      ( ( ( ! [SY2409: sum_sum_c_c] :
              ( ( SV118
               != ( SV423 @ SY2409 ) )
              | ~ ( member_Sum_sum_c_c @ SY2409 @ SV675 ) ) )
        = $false )
      | ( ( member_c @ SV118 @ ( image_Sum_sum_c_c_c @ SV423 @ SV675 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2855]) ).

thf(3189,plain,
    ! [SV961: set_c,SV868: finite1398487019real_c,SV424: finite1398487019real_c] :
      ( ( ( denota256060419gree_c @ SV424 @ SV868 @ SV961 )
        = ( ! [SY2672: c] :
              ( ~ ( member_c @ SY2672 @ SV961 )
              | ( ( finite772340578real_c @ SV424 @ SY2672 )
                = ( finite772340578real_c @ SV868 @ SY2672 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2856]) ).

thf(3190,plain,
    ! [SV120: set_Sum_sum_c_d,SV425: sum_sum_c_d > sum_sum_c_c,SV677: set_Sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_d @ ( sK17_SY2412 @ SV677 @ SV425 @ SV120 ) @ SV120 )
          | ( member_Sum_sum_c_c @ ( SV425 @ ( sK17_SY2412 @ SV677 @ SV425 @ SV120 ) ) @ SV677 ) )
        = $false )
      | ( ( ord_le1772180283um_c_c @ ( image_1558941394um_c_c @ SV425 @ SV120 ) @ SV677 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2858]) ).

thf(3191,plain,
    ! [SV124: set_Sum_sum_c_c,SV429: sum_sum_c_c > sum_sum_c_d,SV679: sum_sum_c_c > set_Sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sK18_SY2415 @ SV679 @ SV429 @ SV124 ) @ SV124 )
          | ( member_Sum_sum_c_d @ ( SV429 @ ( sK18_SY2415 @ SV679 @ SV429 @ SV124 ) ) @ ( SV679 @ ( sK18_SY2415 @ SV679 @ SV429 @ SV124 ) ) ) )
        = $false )
      | ( ( member318754689um_c_d @ SV429 @ ( pi_Sum261268376um_c_d @ SV124 @ SV679 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2859]) ).

thf(3192,plain,
    ! [SV869: set_Sum_sum_c_d,SV430: set_Sum_sum_c_d] :
      ( ( ( ~ ( ( ord_le764260924um_c_d @ SV430 @ SV869 )
              | ! [SY2624: sum_sum_c_d] :
                  ( ~ ( member_Sum_sum_c_d @ SY2624 @ SV430 )
                  | ( member_Sum_sum_c_d @ SY2624 @ SV869 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ord_le764260924um_c_d @ SV430 @ SV869 )
              | ~ ! [SY2624: sum_sum_c_d] :
                    ( ~ ( member_Sum_sum_c_d @ SY2624 @ SV430 )
                    | ( member_Sum_sum_c_d @ SY2624 @ SV869 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2860]) ).

thf(3193,plain,
    ! [SV126: set_Sum_sum_c_d,SV431: sum_sum_c_d > c,SV681: sum_sum_c_d > set_c] :
      ( ( ( ~ ( member_Sum_sum_c_d @ ( sK19_SY2417 @ SV681 @ SV431 @ SV126 ) @ SV126 )
          | ( member_c @ ( SV431 @ ( sK19_SY2417 @ SV681 @ SV431 @ SV126 ) ) @ ( SV681 @ ( sK19_SY2417 @ SV681 @ SV431 @ SV126 ) ) ) )
        = $false )
      | ( ( member_Sum_sum_c_d_c @ SV431 @ ( pi_Sum_sum_c_d_c @ SV126 @ SV681 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2862]) ).

thf(3194,plain,
    ! [SV129: c > sum_sum_c_c,SV434: set_c,SV683: sum_sum_c_c > $o] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sK20_SY2418 @ SV683 @ SV434 @ SV129 ) @ ( image_c_Sum_sum_c_c @ SV129 @ SV434 ) )
          | ( SV683 @ ( sK20_SY2418 @ SV683 @ SV434 @ SV129 ) ) )
        = $false )
      | ( ( ! [SY2419: c] :
              ( ~ ( member_c @ SY2419 @ SV434 )
              | ( SV683 @ ( SV129 @ SY2419 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2864]) ).

thf(3195,plain,
    ! [SV130: set_Sum_sum_c_c,SV435: sum_sum_c_c > sum_sum_c_d,SV684: set_Sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sK21_SY2420 @ SV684 @ SV435 @ SV130 ) @ SV130 )
          | ( member_Sum_sum_c_d @ ( SV435 @ ( sK21_SY2420 @ SV684 @ SV435 @ SV130 ) ) @ SV684 ) )
        = $false )
      | ( ( ord_le764260924um_c_d @ ( image_675141842um_c_d @ SV435 @ SV130 ) @ SV684 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2865]) ).

thf(3196,plain,
    ! [SV870: c,SV685: c > set_Sum_sum_c_c,SV436: set_c,SV131: c > sum_sum_c_c] :
      ( ( ( member_c_Sum_sum_c_c @ SV131 @ ( pi_c_Sum_sum_c_c @ SV436 @ SV685 ) )
        = $false )
      | ( ( ~ ( member_c @ SV870 @ SV436 )
          | ( member_Sum_sum_c_c @ ( SV131 @ SV870 ) @ ( SV685 @ SV870 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2866]) ).

thf(3197,plain,
    ! [SV871: set_re2066790124real_c,SV437: set_re2066790124real_c] :
      ( ( ( ~ ( ( ord_le35002188real_c @ SV437 @ SV871 )
              | ! [SY2625: real > finite1398487019real_c] :
                  ( ~ ( member1321351885real_c @ SY2625 @ SV437 )
                  | ( member1321351885real_c @ SY2625 @ SV871 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ord_le35002188real_c @ SV437 @ SV871 )
              | ~ ! [SY2625: real > finite1398487019real_c] :
                    ( ~ ( member1321351885real_c @ SY2625 @ SV437 )
                    | ( member1321351885real_c @ SY2625 @ SV871 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2867]) ).

thf(3198,plain,
    ! [SV872: c,SV687: c > set_Sum_sum_c_d,SV438: set_c,SV133: c > sum_sum_c_d] :
      ( ( ( member_c_Sum_sum_c_d @ SV133 @ ( pi_c_Sum_sum_c_d @ SV438 @ SV687 ) )
        = $false )
      | ( ( ~ ( member_c @ SV872 @ SV438 )
          | ( member_Sum_sum_c_d @ ( SV133 @ SV872 ) @ ( SV687 @ SV872 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2869]) ).

thf(3199,plain,
    ! [SV873: c,SV688: c > set_Sum_sum_c_d,SV439: set_c,SV134: c > sum_sum_c_d] :
      ( ( ( member_c_Sum_sum_c_d @ SV134 @ ( pi_c_Sum_sum_c_d @ SV439 @ SV688 ) )
        = $false )
      | ( ( ~ ~ ( member_Sum_sum_c_d @ ( SV134 @ SV873 ) @ ( SV688 @ SV873 ) )
          | ~ ( member_c @ SV873 @ SV439 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2870]) ).

thf(3200,plain,
    ! [SV440: produc190496183real_c,SV135: produc190496183real_c > $o] :
      ( ( ( SV135 @ ( produc394644079real_c @ ( sK5_SY1346 @ SV440 @ SV135 ) @ ( sK22_SY2658 @ SV440 @ SV135 ) ) )
        = $false )
      | ( ( SV135 @ SV440 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2871]) ).

thf(3201,plain,
    ! [SV136: set_c,SV441: c > c,SV689: set_c] :
      ( ( ( ~ ( member_c @ ( sK23_SY2425 @ SV689 @ SV441 @ SV136 ) @ SV136 )
          | ( member_c @ ( SV441 @ ( sK23_SY2425 @ SV689 @ SV441 @ SV136 ) ) @ SV689 ) )
        = $false )
      | ( ( member_c_c @ SV441
          @ ( pi_c_c @ SV136
            @ ^ [SY2426: c] : SV689 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2872]) ).

thf(3202,plain,
    ! [SV442: finite1398487019real_c > $o,SV137: finite1398487019real_c > $o] :
      ( ( ( ~ ( ( SV137 @ ( sK6_SY2016 @ SV442 @ SV137 ) )
              | ( SV442 @ ( sK6_SY2016 @ SV442 @ SV137 ) ) )
          | ~ ( ~ ( SV137 @ ( sK6_SY2016 @ SV442 @ SV137 ) )
              | ~ ( SV442 @ ( sK6_SY2016 @ SV442 @ SV137 ) ) ) )
        = $false )
      | ( ( ( collec230941376real_c @ SV137 )
          = ( collec230941376real_c @ SV442 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[2873]) ).

thf(3203,plain,
    ! [SV442: finite1398487019real_c > $o,SV137: finite1398487019real_c > $o] :
      ( ( ( ( SV137 @ ( sK6_SY2016 @ SV442 @ SV137 ) )
          = ( SV442 @ ( sK6_SY2016 @ SV442 @ SV137 ) ) )
        = $false )
      | ( ( ( collec230941376real_c @ SV137 )
          = ( collec230941376real_c @ SV442 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[2873]) ).

thf(3204,plain,
    ! [SV443: produc190496183real_c,SV138: produc190496183real_c > $o] :
      ( ( ( SV138 @ ( produc394644079real_c @ ( sK7_SY1355 @ SV443 @ SV138 ) @ ( sK24_SY2659 @ SV443 @ SV138 ) ) )
        = $false )
      | ( ( SV138 @ SV443 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2874]) ).

thf(3205,plain,
    ! [SV874: real > finite1398487019real_c,SV690: set_c,SV444: set_re2066790124real_c,SV139: ( real > finite1398487019real_c ) > c] :
      ( ( ( member527957930al_c_c @ SV139
          @ ( pi_rea1228756413al_c_c @ SV444
            @ ^ [SY2428: real > finite1398487019real_c] : SV690 ) )
        = $false )
      | ( ( ~ ( member1321351885real_c @ SV874 @ SV444 )
          | ( member_c @ ( SV139 @ SV874 ) @ SV690 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2875]) ).

thf(3206,plain,
    ! [SV691: set_c,SV445: c > c,SV140: c] :
      ( ( ( ! [SY2429: c] :
              ( ( SV140
               != ( SV445 @ SY2429 ) )
              | ~ ( member_c @ SY2429 @ SV691 ) ) )
        = $false )
      | ( ( member_c @ SV140 @ ( image_c_c @ SV445 @ SV691 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2876]) ).

thf(3207,plain,
    ! [SV446: finite1398487019real_c > $o,SV141: finite1398487019real_c > $o] :
      ( ( ( ord_le1327118209real_c @ ( collec230941376real_c @ SV141 ) @ ( collec230941376real_c @ SV446 ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le1327118209real_c @ ( collec230941376real_c @ SV141 ) @ ( collec230941376real_c @ SV446 ) )
              | ~ ! [SY2024: finite1398487019real_c] :
                    ( ~ ( SV141 @ SY2024 )
                    | ( SV446 @ SY2024 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2877]) ).

thf(3208,plain,
    ! [SV446: finite1398487019real_c > $o,SV141: finite1398487019real_c > $o] :
      ( ( ( ! [SY2024: finite1398487019real_c] :
              ( ~ ( SV141 @ SY2024 )
              | ( SV446 @ SY2024 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le1327118209real_c @ ( collec230941376real_c @ SV141 ) @ ( collec230941376real_c @ SV446 ) )
              | ~ ! [SY2024: finite1398487019real_c] :
                    ( ~ ( SV141 @ SY2024 )
                    | ( SV446 @ SY2024 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2877]) ).

thf(3209,plain,
    ! [SV692: set_c,SV447: c > sum_sum_c_d,SV142: sum_sum_c_d] :
      ( ( ( ! [SY2430: c] :
              ( ( SV142
               != ( SV447 @ SY2430 ) )
              | ~ ( member_c @ SY2430 @ SV692 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_d @ SV142 @ ( image_c_Sum_sum_c_d @ SV447 @ SV692 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2878]) ).

thf(3210,plain,
    ! [SV875: real > set_Fi1407883041real_c,SV693: real > finite1398487019real_c,SV448: real > finite1398487019real_c,SV143: set_real] :
      ( ( ( ! [SY2432: real] :
              ( ~ ( member_real @ SY2432 @ SV143 )
              | ( ( SV448 @ SY2432 )
                = ( SV693 @ SY2432 ) ) ) )
        = $false )
      | ( ( ( member1321351885real_c @ SV448 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) )
          = ( member1321351885real_c @ SV693 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2879]) ).

thf(3211,plain,
    ! [SV144: set_Sum_sum_c_d,SV449: sum_sum_c_d > c,SV694: set_c] :
      ( ( ( ~ ( member_Sum_sum_c_d @ ( sK25_SY2433 @ SV694 @ SV449 @ SV144 ) @ SV144 )
          | ( member_c @ ( SV449 @ ( sK25_SY2433 @ SV694 @ SV449 @ SV144 ) ) @ SV694 ) )
        = $false )
      | ( ( ord_less_eq_set_c @ ( image_Sum_sum_c_d_c @ SV449 @ SV144 ) @ SV694 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2880]) ).

thf(3212,plain,
    ! [SV876: sum_sum_c_c,SV695: sum_sum_c_c > set_Sum_sum_c_d,SV450: set_Sum_sum_c_c,SV145: sum_sum_c_c > sum_sum_c_d] :
      ( ( ( member318754689um_c_d @ SV145 @ ( pi_Sum261268376um_c_d @ SV450 @ SV695 ) )
        = $false )
      | ( ( ~ ~ ( member_Sum_sum_c_d @ ( SV145 @ SV876 ) @ ( SV695 @ SV876 ) )
          | ~ ( member_Sum_sum_c_c @ SV876 @ SV450 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2881]) ).

thf(3213,plain,
    ! [SV877: real,SV696: real > set_Fi1407883041real_c,SV451: set_real,SV146: real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ SV146 @ ( pi_rea1111636068real_c @ SV451 @ SV696 ) )
        = $false )
      | ( ( ~ ~ ( member1261661570real_c @ ( SV146 @ SV877 ) @ ( SV696 @ SV877 ) )
          | ~ ( member_real @ SV877 @ SV451 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2882]) ).

thf(3214,plain,
    ! [SV878: real > finite1398487019real_c,SV697: set_Sum_sum_c_c,SV452: set_re2066790124real_c,SV147: ( real > finite1398487019real_c ) > sum_sum_c_c] :
      ( ( ( member354622481um_c_c @ SV147
          @ ( pi_rea1500330408um_c_c @ SV452
            @ ^ [SY2437: real > finite1398487019real_c] : SV697 ) )
        = $false )
      | ( ( ~ ( member1321351885real_c @ SV878 @ SV452 )
          | ( member_Sum_sum_c_c @ ( SV147 @ SV878 ) @ SV697 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2883]) ).

thf(3215,plain,
    ! [SV148: produc190496183real_c] :
      ( ( SV148
       != ( produc394644079real_c @ ( sK1_SY1386 @ SV148 ) @ ( sK26_SY2438 @ SV148 ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[2884]) ).

thf(3216,plain,
    ! [SV879: sum_sum_c_d > sum_sum_c_c,SV698: sum_sum_c_c,SV453: set_Sum_sum_c_d,SV149: sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ SV149 @ SV453 )
        = $false )
      | ( ( ( SV698
           != ( SV879 @ SV149 ) )
          | ( member_Sum_sum_c_c @ SV698 @ ( image_1558941394um_c_c @ SV879 @ SV453 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2885]) ).

thf(3217,plain,
    ! [SV699: set_Sum_sum_c_d,SV454: set_c,SV150: c > sum_sum_c_d] :
      ( ( ( ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV150 @ SV454 ) @ SV699 )
          | ! [SY2440: c] :
              ( ~ ( member_c @ SY2440 @ SV454 )
              | ( member_Sum_sum_c_d @ ( SV150 @ SY2440 ) @ SV699 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV150 @ SV454 ) @ SV699 )
              | ~ ! [SY2440: c] :
                    ( ~ ( member_c @ SY2440 @ SV454 )
                    | ( member_Sum_sum_c_d @ ( SV150 @ SY2440 ) @ SV699 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2886]) ).

thf(3218,plain,
    ! [SV880: set_c,SV700: c,SV455: c > sum_sum_c_c,SV151: sum_sum_c_c] :
      ( ( ( SV151
          = ( SV455 @ SV700 ) )
        = $false )
      | ( ( ~ ( member_c @ SV700 @ SV880 )
          | ( member_Sum_sum_c_c @ SV151 @ ( image_c_Sum_sum_c_c @ SV455 @ SV880 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2887]) ).

thf(3219,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
                = ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
              | ~ ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
                      | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
                  | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
                      | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
               != ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
              | ~ ~ ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
                        | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
                    | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
                        | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2888]) ).

thf(3220,plain,
    ! [SV882: sum_sum_c_d,SV702: sum_sum_c_d > set_Sum_sum_c_c,SV459: set_Sum_sum_c_d,SV155: sum_sum_c_d > sum_sum_c_c] :
      ( ( ( member71251457um_c_c @ SV155 @ ( pi_Sum1145067928um_c_c @ SV459 @ SV702 ) )
        = $false )
      | ( ( ~ ~ ( member_Sum_sum_c_c @ ( SV155 @ SV882 ) @ ( SV702 @ SV882 ) )
          | ~ ( member_Sum_sum_c_d @ SV882 @ SV459 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2891]) ).

thf(3221,plain,
    ! [SV157: set_c,SV461: c > c,SV703: set_c] :
      ( ( ( ~ ( member_c @ ( sK27_SY2444 @ SV703 @ SV461 @ SV157 ) @ SV157 )
          | ( member_c @ ( SV461 @ ( sK27_SY2444 @ SV703 @ SV461 @ SV157 ) ) @ SV703 ) )
        = $false )
      | ( ( ord_less_eq_set_c @ ( image_c_c @ SV461 @ SV157 ) @ SV703 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2892]) ).

thf(3222,plain,
    ! [SV462: produc190496183real_c,SV158: produc190496183real_c] :
      ( ( ( ( produc2010422875real_c @ SV158 )
         != ( produc2010422875real_c @ SV462 ) )
        = $true )
      | ( ( ( produc314122909real_c @ SV158 )
         != ( produc314122909real_c @ SV462 ) )
        = $true )
      | ( ( SV158 = SV462 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2893]) ).

thf(3223,plain,
    ! [SV159: set_c,SV463: c > sum_sum_c_d,SV704: set_Sum_sum_c_d] :
      ( ( ( ~ ( member_c @ ( sK28_SY2445 @ SV704 @ SV463 @ SV159 ) @ SV159 )
          | ( member_Sum_sum_c_d @ ( SV463 @ ( sK28_SY2445 @ SV704 @ SV463 @ SV159 ) ) @ SV704 ) )
        = $false )
      | ( ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV463 @ SV159 ) @ SV704 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2894]) ).

thf(3224,plain,
    ! [SV706: set_Sum_sum_c_c,SV465: set_c,SV161: c > sum_sum_c_c] :
      ( ( ( ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV161 @ SV465 ) @ SV706 )
          | ! [SY2448: c] :
              ( ~ ( member_c @ SY2448 @ SV465 )
              | ( member_Sum_sum_c_c @ ( SV161 @ SY2448 ) @ SV706 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV161 @ SV465 ) @ SV706 )
              | ~ ! [SY2448: c] :
                    ( ~ ( member_c @ SY2448 @ SV465 )
                    | ( member_Sum_sum_c_c @ ( SV161 @ SY2448 ) @ SV706 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2895]) ).

thf(3225,plain,
    ! [SV466: set_re2066790124real_c,SV162: set_re2066790124real_c,SV707: real > finite1398487019real_c] :
      ( ( ( ~ ( member1321351885real_c @ SV707 @ SV162 ) )
        = $true )
      | ( ( member1321351885real_c @ SV707 @ SV466 )
        = $true )
      | ( ( ord_le35002188real_c @ SV162 @ SV466 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2896]) ).

thf(3226,plain,
    ! [SV883: real,SV708: real,SV467: real,SV163: real] :
      ( ( ( ~ ( ( ( set_or656347191t_real @ SV163 @ SV467 )
                = ( set_or656347191t_real @ SV708 @ SV883 ) )
              | ~ ( ( SV163 != SV708 )
                  | ( SV467 != SV883 ) )
              | ~ ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 )
                  | ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) ) ) )
        = $true )
      | ( ( ~ ( ( ( set_or656347191t_real @ SV163 @ SV467 )
               != ( set_or656347191t_real @ SV708 @ SV883 ) )
              | ~ ( ~ ( ( SV163 != SV708 )
                      | ( SV467 != SV883 ) )
                  | ~ ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 )
                      | ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2897]) ).

thf(3227,plain,
    ! [SV954: produc190496183real_c,SV884: finite1398487019real_c,SV709: produc190496183real_c,SV469: oDE_a_c,SV165: denota231621370t_unit] :
      ( ( ( ( denota310462944_a_b_c @ SV165 @ SV469 @ SV709 @ SV884 )
         != SV954 )
        = $true )
      | ( ( SV954
          = ( produc394644079real_c
            @ ( finite557796307c_real
              @ ^ [SY2630: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2630 ) @ ( denota1293057250_a_b_c @ SV165 @ SV469 ) ) @ SV884 @ ( produc2010422875real_c @ SV709 ) ) @ SY2630 ) )
            @ ( finite557796307c_real
              @ ^ [SY2631: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2631 ) @ ( denota1293057250_a_b_c @ SV165 @ SV469 ) ) @ ( denota1275485728_a_b_c @ SV165 @ SV469 @ SV884 ) @ ( produc314122909real_c @ SV709 ) ) @ SY2631 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2900]) ).

thf(3228,plain,
    ! [SV470: set_Pr1389752855real_c,SV166: set_Pr1389752855real_c,SV710: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV710 @ SV166 ) )
        = $true )
      | ( ( member1895684704real_c @ SV710 @ SV470 )
        = $true )
      | ( ( ord_le977353143real_c @ SV166 @ SV470 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2901]) ).

thf(3229,plain,
    ! [SV471: produc190496183real_c,SV167: produc190496183real_c] :
      ( ( ( ( produc314122909real_c @ SV167 )
          = ( produc314122909real_c @ SV471 ) )
        = $false )
      | ( ( SV167 = SV471 )
        = $true )
      | ( ( ( produc2010422875real_c @ SV167 )
          = ( produc2010422875real_c @ SV471 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2902]) ).

thf(3230,plain,
    ! [SV170: set_Sum_sum_c_d,SV474: sum_sum_c_d > sum_sum_c_d,SV713: set_Sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_d @ ( sK29_SY2456 @ SV713 @ SV474 @ SV170 ) @ SV170 )
          | ( member_Sum_sum_c_d @ ( SV474 @ ( sK29_SY2456 @ SV713 @ SV474 @ SV170 ) ) @ SV713 ) )
        = $false )
      | ( ( ord_le764260924um_c_d @ ( image_1567202899um_c_d @ SV474 @ SV170 ) @ SV713 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2904]) ).

thf(3231,plain,
    ! [SV885: sum_sum_c_d,SV714: sum_sum_c_d > set_c,SV475: set_Sum_sum_c_d,SV171: sum_sum_c_d > c] :
      ( ( ( member_Sum_sum_c_d_c @ SV171 @ ( pi_Sum_sum_c_d_c @ SV475 @ SV714 ) )
        = $false )
      | ( ( ~ ( member_Sum_sum_c_d @ SV885 @ SV475 )
          | ( member_c @ ( SV171 @ SV885 ) @ ( SV714 @ SV885 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2905]) ).

thf(3232,plain,
    ! [SV476: set_c,SV172: set_c,SV715: c] :
      ( ( ( ~ ( member_c @ SV715 @ SV172 ) )
        = $true )
      | ( ( member_c @ SV715 @ SV476 )
        = $true )
      | ( ( ord_less_eq_set_c @ SV172 @ SV476 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2906]) ).

thf(3233,plain,
    ! [SV175: set_Sum_sum_c_c,SV478: sum_sum_c_c > sum_sum_c_c,SV717: set_Sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sK30_SY2458 @ SV717 @ SV478 @ SV175 ) @ SV175 )
          | ( member_Sum_sum_c_c @ ( SV478 @ ( sK30_SY2458 @ SV717 @ SV478 @ SV175 ) ) @ SV717 ) )
        = $false )
      | ( ( member1326674048um_c_c @ SV478
          @ ( pi_Sum253006871um_c_c @ SV175
            @ ^ [SY2459: sum_sum_c_c] : SV717 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2909]) ).

thf(3234,plain,
    ! [SV177: set_real,SV480: real > finite1398487019real_c,SV718: real > set_Fi1407883041real_c] :
      ( ( ( ~ ( member_real @ ( sK31_SY2460 @ SV718 @ SV480 @ SV177 ) @ SV177 )
          | ( member1261661570real_c @ ( SV480 @ ( sK31_SY2460 @ SV718 @ SV480 @ SV177 ) ) @ ( SV718 @ ( sK31_SY2460 @ SV718 @ SV480 @ SV177 ) ) ) )
        = $false )
      | ( ( member1321351885real_c @ SV480 @ ( pi_rea1111636068real_c @ SV177 @ SV718 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2911]) ).

thf(3235,plain,
    ! [SV962: set_Sum_sum_c_c,SV886: produc190496183real_c,SV481: produc190496183real_c] :
      ( ( ( denota1997846518gree_c @ SV481 @ SV886 @ SV962 )
        = ( ~ ( ~ ! [SY2673: c] :
                    ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2673 ) @ SV962 )
                    | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2673 )
                      = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2673 ) ) )
              | ~ ! [SY2674: c] :
                    ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
                    | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                      = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2912]) ).

thf(3236,plain,
    ( ( ( ~ ( ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
            | ( ( finite772340578real_c
                @ ( produc2010422875real_c
                  @ ( denota161327353_a_b_c @ i @ oDEa
                    @ ( produc394644079real_c
                      @ ( finite557796307c_real
                        @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                      @ bb )
                    @ ( finite557796307c_real
                      @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
                @ i2 )
              = ( finite772340578real_c @ ( sol @ x ) @ i2 ) ) )
        | ~ ( ~ ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
            | ( ( finite772340578real_c
                @ ( produc2010422875real_c
                  @ ( denota161327353_a_b_c @ i @ oDEa
                    @ ( produc394644079real_c
                      @ ( finite557796307c_real
                        @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                      @ bb )
                    @ ( finite557796307c_real
                      @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
                @ i2 )
              = ( finite772340578real_c @ ab @ i2 ) ) ) )
      = $false )
    | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2915]) ).

thf(3237,plain,
    ( ( ( ~ ( ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
            | ( ( finite772340578real_c
                @ ( produc2010422875real_c
                  @ ( denota161327353_a_b_c @ i @ oDEa
                    @ ( produc394644079real_c
                      @ ( finite557796307c_real
                        @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                      @ bb )
                    @ ( finite557796307c_real
                      @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
                @ i2 )
              = ( finite772340578real_c @ ( sol @ x ) @ i2 ) ) )
        | ~ ( ~ ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
            | ( ( finite772340578real_c
                @ ( produc2010422875real_c
                  @ ( denota161327353_a_b_c @ i @ oDEa
                    @ ( produc394644079real_c
                      @ ( finite557796307c_real
                        @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                      @ bb )
                    @ ( finite557796307c_real
                      @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
                @ i2 )
              = ( finite772340578real_c @ ab @ i2 ) ) ) )
      = $false )
    | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2916]) ).

thf(3238,plain,
    ! [SV180: set_c,SV483: c > c,SV720: c > set_c] :
      ( ( ( ~ ( member_c @ ( sK32_SY2464 @ SV720 @ SV483 @ SV180 ) @ SV180 )
          | ( member_c @ ( SV483 @ ( sK32_SY2464 @ SV720 @ SV483 @ SV180 ) ) @ ( SV720 @ ( sK32_SY2464 @ SV720 @ SV483 @ SV180 ) ) ) )
        = $false )
      | ( ( member_c_c @ SV483 @ ( pi_c_c @ SV180 @ SV720 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2917]) ).

thf(3239,plain,
    ! [SV484: c > sum_sum_c_c,SV181: set_Sum_sum_c_c,SV721: set_c] :
      ( ( ( ! [SY2465: set_c] :
              ( ~ ( ord_less_eq_set_c @ SY2465 @ SV721 )
              | ( SV181
               != ( image_c_Sum_sum_c_c @ SV484 @ SY2465 ) ) ) )
        = $false )
      | ( ( ord_le1772180283um_c_c @ SV181 @ ( image_c_Sum_sum_c_c @ SV484 @ SV721 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2918]) ).

thf(3240,plain,
    ! [SV182: set_Sum_sum_c_d,SV485: sum_sum_c_d > sum_sum_c_c,SV722: set_Sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_d @ ( sK33_SY2466 @ SV722 @ SV485 @ SV182 ) @ SV182 )
          | ( member_Sum_sum_c_c @ ( SV485 @ ( sK33_SY2466 @ SV722 @ SV485 @ SV182 ) ) @ SV722 ) )
        = $false )
      | ( ( member71251457um_c_c @ SV485
          @ ( pi_Sum1145067928um_c_c @ SV182
            @ ^ [SY2467: sum_sum_c_d] : SV722 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2919]) ).

thf(3241,plain,
    ! [SV486: set_re2066790124real_c,SV183: set_re2066790124real_c,SV723: real > finite1398487019real_c] :
      ( ( ( ~ ( member1321351885real_c @ SV723 @ SV183 ) )
        = $true )
      | ( ( member1321351885real_c @ SV723 @ SV486 )
        = $true )
      | ( ( ord_le35002188real_c @ SV183 @ SV486 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2920]) ).

thf(3242,plain,
    ! [SV887: finite1398487019real_c,SV724: finite1398487019real_c,SV487: finite1398487019real_c,SV184: finite1398487019real_c] :
      ( ( ( ~ ( ( ( produc394644079real_c @ SV184 @ SV487 )
                = ( produc394644079real_c @ SV724 @ SV887 ) )
              | ~ ( ( SV184 != SV724 )
                  | ( SV487 != SV887 ) ) ) )
        = $true )
      | ( ( ~ ( ( ( produc394644079real_c @ SV184 @ SV487 )
               != ( produc394644079real_c @ SV724 @ SV887 ) )
              | ~ ~ ( ( SV184 != SV724 )
                    | ( SV487 != SV887 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2921]) ).

thf(3243,plain,
    ! [SV186: set_Sum_sum_c_c,SV489: sum_sum_c_c > sum_sum_c_d,SV726: sum_sum_c_c > set_Sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sK34_SY2469 @ SV726 @ SV489 @ SV186 ) @ SV186 )
          | ( member_Sum_sum_c_d @ ( SV489 @ ( sK34_SY2469 @ SV726 @ SV489 @ SV186 ) ) @ ( SV726 @ ( sK34_SY2469 @ SV726 @ SV489 @ SV186 ) ) ) )
        = $false )
      | ( ( member318754689um_c_d @ SV489 @ ( pi_Sum261268376um_c_d @ SV186 @ SV726 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2924]) ).

thf(3244,plain,
    ! [SV888: finite1398487019real_c,SV727: produc190496183real_c,SV491: oDE_a_c,SV188: denota231621370t_unit] :
      ( ( ~ ( denota1997846518gree_c @ ( denota161327353_a_b_c @ SV188 @ SV491 @ SV727 @ SV888 ) @ SV727 @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ SV188 @ SV491 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2925]) ).

thf(3245,plain,
    ! [SV888: finite1398487019real_c,SV727: produc190496183real_c,SV491: oDE_a_c,SV188: denota231621370t_unit] :
      ( ( ~ ( denota1997846518gree_c @ ( denota161327353_a_b_c @ SV188 @ SV491 @ SV727 @ SV888 ) @ ( denota1896987029_a_b_c @ SV188 @ SV491 @ SV888 ) @ ( denota1293057250_a_b_c @ SV188 @ SV491 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2925]) ).

thf(3246,plain,
    ! [SV889: set_Sum_sum_c_c,SV494: set_Sum_sum_c_c] :
      ( ( ( ~ ( ( ord_le1772180283um_c_c @ SV494 @ SV889 )
              | ! [SY2635: sum_sum_c_c] :
                  ( ~ ( member_Sum_sum_c_c @ SY2635 @ SV494 )
                  | ( member_Sum_sum_c_c @ SY2635 @ SV889 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV494 @ SV889 )
              | ~ ! [SY2635: sum_sum_c_c] :
                    ( ~ ( member_Sum_sum_c_c @ SY2635 @ SV494 )
                    | ( member_Sum_sum_c_c @ SY2635 @ SV889 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2928]) ).

thf(3247,plain,
    ! [SV890: sum_sum_c_c > c,SV730: c,SV496: set_Sum_sum_c_c,SV193: sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ SV193 @ SV496 )
        = $false )
      | ( ( ( SV730
           != ( SV890 @ SV193 ) )
          | ( member_c @ SV730 @ ( image_Sum_sum_c_c_c @ SV890 @ SV496 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2930]) ).

thf(3248,plain,
    ! [SV194: set_Sum_sum_c_c,SV497: sum_sum_c_c > c,SV731: set_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sK35_SY2473 @ SV731 @ SV497 @ SV194 ) @ SV194 )
          | ( member_c @ ( SV497 @ ( sK35_SY2473 @ SV731 @ SV497 @ SV194 ) ) @ SV731 ) )
        = $false )
      | ( ( ord_less_eq_set_c @ ( image_Sum_sum_c_c_c @ SV497 @ SV194 ) @ SV731 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2931]) ).

thf(3249,plain,
    ! [SV891: finite1398487019real_c,SV732: finite1398487019real_c,SV498: finite1398487019real_c,SV195: finite1398487019real_c] :
      ( ( ( ord_le775706699real_c @ SV195 @ SV498 )
        = $false )
      | ( ( ~ ( ord_le775706699real_c @ SV732 @ SV891 )
          | ( ord_le850691415real_c @ ( produc394644079real_c @ SV195 @ SV732 ) @ ( produc394644079real_c @ SV498 @ SV891 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2932]) ).

thf(3250,plain,
    ! [SV733: set_Sum_sum_c_d,SV499: sum_sum_c_d > sum_sum_c_c,SV196: sum_sum_c_c] :
      ( ( ( ! [SY2475: sum_sum_c_d] :
              ( ( SV196
               != ( SV499 @ SY2475 ) )
              | ~ ( member_Sum_sum_c_d @ SY2475 @ SV733 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ SV196 @ ( image_1558941394um_c_c @ SV499 @ SV733 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2933]) ).

thf(3251,plain,
    ! [SV197: set_c,SV500: c > real > finite1398487019real_c,SV734: c > set_re2066790124real_c] :
      ( ( ( ~ ( member_c @ ( sK36_SY2476 @ SV734 @ SV500 @ SV197 ) @ SV197 )
          | ( member1321351885real_c @ ( SV500 @ ( sK36_SY2476 @ SV734 @ SV500 @ SV197 ) ) @ ( SV734 @ ( sK36_SY2476 @ SV734 @ SV500 @ SV197 ) ) ) )
        = $false )
      | ( ( member469531344real_c @ SV500 @ ( pi_c_r41638571real_c @ SV197 @ SV734 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2934]) ).

thf(3252,plain,
    ! [SV892: set_Sum_sum_c_c,SV501: set_Sum_sum_c_c] :
      ( ( ( ~ ( ( ord_le1772180283um_c_c @ SV501 @ SV892 )
              | ! [SY2636: sum_sum_c_c] :
                  ( ~ ( member_Sum_sum_c_c @ SY2636 @ SV501 )
                  | ( member_Sum_sum_c_c @ SY2636 @ SV892 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV501 @ SV892 )
              | ~ ! [SY2636: sum_sum_c_c] :
                    ( ~ ( member_Sum_sum_c_c @ SY2636 @ SV501 )
                    | ( member_Sum_sum_c_c @ SY2636 @ SV892 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2935]) ).

thf(3253,plain,
    ! [SV199: set_c,SV502: set_c] :
      ( ( ( ~ ( member_c @ ( sK8_SY2117 @ SV502 @ SV199 ) @ SV199 ) )
        = $false )
      | ( ( ord_less_eq_set_c @ SV199 @ SV502 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2937]) ).

thf(3254,plain,
    ! [SV199: set_c,SV502: set_c] :
      ( ( ( member_c @ ( sK8_SY2117 @ SV502 @ SV199 ) @ SV502 )
        = $false )
      | ( ( ord_less_eq_set_c @ SV199 @ SV502 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2937]) ).

thf(3255,plain,
    ! [SV893: sum_sum_c_d,SV736: sum_sum_c_d > set_c,SV503: set_Sum_sum_c_d,SV200: sum_sum_c_d > c] :
      ( ( ( member_Sum_sum_c_d_c @ SV200 @ ( pi_Sum_sum_c_d_c @ SV503 @ SV736 ) )
        = $false )
      | ( ( ~ ~ ( member_c @ ( SV200 @ SV893 ) @ ( SV736 @ SV893 ) )
          | ~ ( member_Sum_sum_c_d @ SV893 @ SV503 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2938]) ).

thf(3256,plain,
    ! [SV894: real,SV737: real > set_Fi1407883041real_c,SV506: set_real,SV203: real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ SV203 @ ( pi_rea1111636068real_c @ SV506 @ SV737 ) )
        = $false )
      | ( ( ~ ( member_real @ SV894 @ SV506 )
          | ( member1261661570real_c @ ( SV203 @ SV894 ) @ ( SV737 @ SV894 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2940]) ).

thf(3257,plain,
    ! [SV895: produc190496183real_c,SV738: produc190496183real_c,SV507: set_Sum_sum_c_c,SV204: set_Sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ SV204 @ SV507 )
        = $false )
      | ( ( ~ ( denota1997846518gree_c @ SV738 @ SV895 @ SV507 )
          | ( denota1997846518gree_c @ SV738 @ SV895 @ SV204 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2941]) ).

thf(3258,plain,
    ! [SV896: c,SV739: c > set_re2066790124real_c,SV508: set_c,SV205: c > real > finite1398487019real_c] :
      ( ( ( member469531344real_c @ SV205 @ ( pi_c_r41638571real_c @ SV508 @ SV739 ) )
        = $false )
      | ( ( ~ ( member_c @ SV896 @ SV508 )
          | ( member1321351885real_c @ ( SV205 @ SV896 ) @ ( SV739 @ SV896 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2942]) ).

thf(3259,plain,
    ! [SV897: c > sum_sum_c_c,SV740: sum_sum_c_c,SV509: set_c,SV206: c] :
      ( ( ( member_c @ SV206 @ SV509 )
        = $false )
      | ( ( ( SV740
           != ( SV897 @ SV206 ) )
          | ( member_Sum_sum_c_c @ SV740 @ ( image_c_Sum_sum_c_c @ SV897 @ SV509 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2943]) ).

thf(3260,plain,
    ! [SV510: finite1398487019real_c > $o,SV207: finite1398487019real_c > $o] :
      ( ( ( ~ ( SV207 @ ( sK9_SY2128 @ SV510 @ SV207 ) ) )
        = $false )
      | ( ( ord_le1327118209real_c @ ( collec230941376real_c @ SV207 ) @ ( collec230941376real_c @ SV510 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2944]) ).

thf(3261,plain,
    ! [SV207: finite1398487019real_c > $o,SV510: finite1398487019real_c > $o] :
      ( ( ( SV510 @ ( sK9_SY2128 @ SV510 @ SV207 ) )
        = $false )
      | ( ( ord_le1327118209real_c @ ( collec230941376real_c @ SV207 ) @ ( collec230941376real_c @ SV510 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2944]) ).

thf(3262,plain,
    ! [SV898: set_Sum_sum_c_d,SV741: sum_sum_c_d,SV511: sum_sum_c_d > sum_sum_c_d,SV208: sum_sum_c_d] :
      ( ( ( SV208
          = ( SV511 @ SV741 ) )
        = $false )
      | ( ( ~ ( member_Sum_sum_c_d @ SV741 @ SV898 )
          | ( member_Sum_sum_c_d @ SV208 @ ( image_1567202899um_c_d @ SV511 @ SV898 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2945]) ).

thf(3263,plain,
    ! [SV209: set_Sum_sum_c_c,SV512: sum_sum_c_c > c,SV742: set_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sK37_SY2484 @ SV742 @ SV512 @ SV209 ) @ SV209 )
          | ( member_c @ ( SV512 @ ( sK37_SY2484 @ SV742 @ SV512 @ SV209 ) ) @ SV742 ) )
        = $false )
      | ( ( member_Sum_sum_c_c_c @ SV512
          @ ( pi_Sum_sum_c_c_c @ SV209
            @ ^ [SY2485: sum_sum_c_c] : SV742 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2946]) ).

thf(3264,plain,
    ! [SV899: set_c,SV514: set_c] :
      ( ( ( ~ ( ( ord_less_eq_set_c @ SV514 @ SV899 )
              | ! [SY2637: c] :
                  ( ~ ( member_c @ SY2637 @ SV514 )
                  | ( member_c @ SY2637 @ SV899 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ord_less_eq_set_c @ SV514 @ SV899 )
              | ~ ! [SY2637: c] :
                    ( ~ ( member_c @ SY2637 @ SV514 )
                    | ( member_c @ SY2637 @ SV899 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2947]) ).

thf(3265,plain,
    ! [SV745: real > finite1398487019real_c,SV515: real > finite1398487019real_c,SV212: real > finite1398487019real_c] :
      ( ( ( ( member1321351885real_c @ SV212 @ ( set_or1308937537real_c @ SV515 @ SV745 ) )
          | ~ ( ~ ( ord_le584953750real_c @ SV515 @ SV212 )
              | ~ ( ord_le584953750real_c @ SV212 @ SV745 ) ) )
        = $false )
      | ( ( ~ ( ~ ( member1321351885real_c @ SV212 @ ( set_or1308937537real_c @ SV515 @ SV745 ) )
              | ~ ~ ( ~ ( ord_le584953750real_c @ SV515 @ SV212 )
                    | ~ ( ord_le584953750real_c @ SV212 @ SV745 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2949]) ).

thf(3266,plain,
    ! [SV213: c > sum_sum_c_d,SV516: set_c,SV746: sum_sum_c_d > $o] :
      ( ( ( ~ ( member_Sum_sum_c_d @ ( sK38_SY2489 @ SV746 @ SV516 @ SV213 ) @ ( image_c_Sum_sum_c_d @ SV213 @ SV516 ) )
          | ( SV746 @ ( sK38_SY2489 @ SV746 @ SV516 @ SV213 ) ) )
        = $false )
      | ( ( ! [SY2490: c] :
              ( ~ ( member_c @ SY2490 @ SV516 )
              | ( SV746 @ ( SV213 @ SY2490 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2950]) ).

thf(3267,plain,
    ! [SV747: set_c,SV517: c > sum_sum_c_c,SV214: sum_sum_c_c] :
      ( ( ( ( member_Sum_sum_c_c @ SV214 @ ( image_c_Sum_sum_c_c @ SV517 @ SV747 ) )
          | ~ ! [SY2491: c] :
                ~ ~ ( ~ ( member_c @ SY2491 @ SV747 )
                    | ( SV214
                     != ( SV517 @ SY2491 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( member_Sum_sum_c_c @ SV214 @ ( image_c_Sum_sum_c_c @ SV517 @ SV747 ) )
              | ~ ~ ! [SY2491: c] :
                      ~ ~ ( ~ ( member_c @ SY2491 @ SV747 )
                          | ( SV214
                           != ( SV517 @ SY2491 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2951]) ).

thf(3268,plain,
    ! [SV900: c,SV748: c > set_c,SV518: set_c,SV215: c > c] :
      ( ( ( member_c_c @ SV215 @ ( pi_c_c @ SV518 @ SV748 ) )
        = $false )
      | ( ( ~ ( member_c @ SV900 @ SV518 )
          | ( member_c @ ( SV215 @ SV900 ) @ ( SV748 @ SV900 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2952]) ).

thf(3269,plain,
    ( ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $true )
    | ( ( ~ ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) ) )
      = $true )
    | ( ( ~ ( ~ ( ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
                | ( ( finite772340578real_c
                    @ ( produc2010422875real_c
                      @ ( denota161327353_a_b_c @ i @ oDEa
                        @ ( produc394644079real_c
                          @ ( finite557796307c_real
                            @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                          @ bb )
                        @ ( finite557796307c_real
                          @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
                    @ i2 )
                  = ( finite772340578real_c @ ( sol @ zero_zero_real ) @ i2 ) ) )
            | ~ ( ~ ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
                | ( ( finite772340578real_c
                    @ ( produc2010422875real_c
                      @ ( denota161327353_a_b_c @ i @ oDEa
                        @ ( produc394644079real_c
                          @ ( finite557796307c_real
                            @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                          @ bb )
                        @ ( finite557796307c_real
                          @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
                    @ i2 )
                  = ( finite772340578real_c @ ab @ i2 ) ) ) ) )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2953]) ).

thf(3270,plain,
    ! [SV216: set_Sum_sum_c_c,SV519: sum_sum_c_c > sum_sum_c_c,SV749: sum_sum_c_c > set_Sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sK39_SY2493 @ SV749 @ SV519 @ SV216 ) @ SV216 )
          | ( member_Sum_sum_c_c @ ( SV519 @ ( sK39_SY2493 @ SV749 @ SV519 @ SV216 ) ) @ ( SV749 @ ( sK39_SY2493 @ SV749 @ SV519 @ SV216 ) ) ) )
        = $false )
      | ( ( member1326674048um_c_c @ SV519 @ ( pi_Sum253006871um_c_c @ SV216 @ SV749 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2954]) ).

thf(3271,plain,
    ! [SV218: set_real,SV521: real > finite1398487019real_c,SV751: real > set_Fi1407883041real_c] :
      ( ( ( ~ ( member_real @ ( sK40_SY2494 @ SV751 @ SV521 @ SV218 ) @ SV218 )
          | ( member1261661570real_c @ ( SV521 @ ( sK40_SY2494 @ SV751 @ SV521 @ SV218 ) ) @ ( SV751 @ ( sK40_SY2494 @ SV751 @ SV521 @ SV218 ) ) ) )
        = $false )
      | ( ( member1321351885real_c @ SV521 @ ( pi_rea1111636068real_c @ SV218 @ SV751 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2956]) ).

thf(3272,plain,
    ! [SV901: set_Sum_sum_c_d,SV752: sum_sum_c_d,SV522: sum_sum_c_d > sum_sum_c_c,SV219: sum_sum_c_c] :
      ( ( ( SV219
          = ( SV522 @ SV752 ) )
        = $false )
      | ( ( ~ ( member_Sum_sum_c_d @ SV752 @ SV901 )
          | ( member_Sum_sum_c_c @ SV219 @ ( image_1558941394um_c_c @ SV522 @ SV901 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2957]) ).

thf(3273,plain,
    ! [SV902: sum_sum_c_c > sum_sum_c_c,SV753: sum_sum_c_c,SV523: set_Sum_sum_c_c,SV220: sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ SV220 @ SV523 )
        = $false )
      | ( ( ( SV753
           != ( SV902 @ SV220 ) )
          | ( member_Sum_sum_c_c @ SV753 @ ( image_666880337um_c_c @ SV902 @ SV523 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2958]) ).

thf(3274,plain,
    ! [SV903: c > sum_sum_c_c,SV754: c > sum_sum_c_c,SV524: set_c,SV221: set_c] :
      ( ( ( SV221 = SV524 )
        = $false )
      | ( ( ~ ! [SY2638: c] :
                ( ~ ( member_c @ SY2638 @ SV524 )
                | ( ( SV754 @ SY2638 )
                  = ( SV903 @ SY2638 ) ) )
          | ( ( image_c_Sum_sum_c_c @ SV754 @ SV221 )
            = ( image_c_Sum_sum_c_c @ SV903 @ SV524 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2959]) ).

thf(3275,plain,
    ! [SV904: finite1398487019real_c,SV755: finite1398487019real_c,SV525: set_c,SV222: set_c] :
      ( ( ( ord_less_eq_set_c @ SV222 @ SV525 )
        = $false )
      | ( ( ~ ( denota256060419gree_c @ SV755 @ SV904 @ SV525 )
          | ( denota256060419gree_c @ SV755 @ SV904 @ SV222 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2960]) ).

thf(3276,plain,
    ! [SV756: set_c,SV526: c > sum_sum_c_c,SV223: sum_sum_c_c] :
      ( ( ( ! [SY2500: c] :
              ( ( SV223
               != ( SV526 @ SY2500 ) )
              | ~ ( member_c @ SY2500 @ SV756 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ SV223 @ ( image_c_Sum_sum_c_c @ SV526 @ SV756 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2961]) ).

thf(3277,plain,
    ! [SV905: sum_sum_c_c,SV758: sum_sum_c_c > set_Sum_sum_c_c,SV528: set_Sum_sum_c_c,SV225: sum_sum_c_c > sum_sum_c_c] :
      ( ( ( member1326674048um_c_c @ SV225 @ ( pi_Sum253006871um_c_c @ SV528 @ SV758 ) )
        = $false )
      | ( ( ~ ( member_Sum_sum_c_c @ SV905 @ SV528 )
          | ( member_Sum_sum_c_c @ ( SV225 @ SV905 ) @ ( SV758 @ SV905 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2963]) ).

thf(3278,plain,
    ! [SV529: set_Sum_sum_c_c,SV226: set_Sum_sum_c_c,SV759: sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ SV759 @ SV226 ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ SV759 @ SV529 )
        = $true )
      | ( ( ord_le1772180283um_c_c @ SV226 @ SV529 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2964]) ).

thf(3279,plain,
    ! [SV906: real,SV760: real,SV530: real,SV227: real] :
      ( ( ( ~ ( ( ord_le1342644953l_real @ ( produc705216881l_real @ SV227 @ SV530 ) @ ( produc705216881l_real @ SV760 @ SV906 ) )
              | ~ ( ~ ( ord_less_eq_real @ SV227 @ SV760 )
                  | ~ ( ord_less_eq_real @ SV530 @ SV906 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ord_le1342644953l_real @ ( produc705216881l_real @ SV227 @ SV530 ) @ ( produc705216881l_real @ SV760 @ SV906 ) )
              | ~ ~ ( ~ ( ord_less_eq_real @ SV227 @ SV760 )
                    | ~ ( ord_less_eq_real @ SV530 @ SV906 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2965]) ).

thf(3280,plain,
    ! [SV907: real,SV761: real,SV532: real,SV229: real] :
      ( ( ( ord_less_eq_real @ SV229 @ SV532 )
        = $false )
      | ( ( ~ ( ord_less_eq_real @ SV761 @ SV907 )
          | ( ord_le1342644953l_real @ ( produc705216881l_real @ SV229 @ SV761 ) @ ( produc705216881l_real @ SV532 @ SV907 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2968]) ).

thf(3281,plain,
    ! [SV533: c > sum_sum_c_d,SV230: set_Sum_sum_c_d,SV762: set_c] :
      ( ( ( ! [SY2504: set_c] :
              ( ~ ( ord_less_eq_set_c @ SY2504 @ SV762 )
              | ( SV230
               != ( image_c_Sum_sum_c_d @ SV533 @ SY2504 ) ) ) )
        = $false )
      | ( ( ord_le764260924um_c_d @ SV230 @ ( image_c_Sum_sum_c_d @ SV533 @ SV762 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2969]) ).

thf(3282,plain,
    ! [SV908: set_Sum_sum_c_d,SV534: set_Sum_sum_c_d] :
      ( ( ( ~ ( ( ord_le764260924um_c_d @ SV534 @ SV908 )
              | ! [SY2639: sum_sum_c_d] :
                  ( ~ ( member_Sum_sum_c_d @ SY2639 @ SV534 )
                  | ( member_Sum_sum_c_d @ SY2639 @ SV908 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ord_le764260924um_c_d @ SV534 @ SV908 )
              | ~ ! [SY2639: sum_sum_c_d] :
                    ( ~ ( member_Sum_sum_c_d @ SY2639 @ SV534 )
                    | ( member_Sum_sum_c_d @ SY2639 @ SV908 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2970]) ).

thf(3283,plain,
    ! [SV909: set_c,SV536: set_c] :
      ( ( ( ~ ( ( ord_less_eq_set_c @ SV536 @ SV909 )
              | ! [SY2640: c] :
                  ( ~ ( member_c @ SY2640 @ SV536 )
                  | ( member_c @ SY2640 @ SV909 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ord_less_eq_set_c @ SV536 @ SV909 )
              | ~ ! [SY2640: c] :
                    ( ~ ( member_c @ SY2640 @ SV536 )
                    | ( member_c @ SY2640 @ SV909 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2972]) ).

thf(3284,plain,
    ! [SV766: set_re2066790124real_c,SV537: ( real > finite1398487019real_c ) > c,SV234: c] :
      ( ( ( ! [SY2509: real > finite1398487019real_c] :
              ( ( SV234
               != ( SV537 @ SY2509 ) )
              | ~ ( member1321351885real_c @ SY2509 @ SV766 ) ) )
        = $false )
      | ( ( member_c @ SV234 @ ( image_266490115al_c_c @ SV537 @ SV766 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2974]) ).

thf(3285,plain,
    ! [SV767: sum_sum_c_c > $o,SV538: set_c,SV235: c > sum_sum_c_c] :
      ( ( ( ! [SY2510: sum_sum_c_c] :
              ~ ~ ( ~ ( member_Sum_sum_c_c @ SY2510 @ ( image_c_Sum_sum_c_c @ SV235 @ SV538 ) )
                  | ~ ( SV767 @ SY2510 ) ) )
        = $true )
      | ( ( ~ ! [SY2511: c] :
                ~ ~ ( ~ ( member_c @ SY2511 @ SV538 )
                    | ~ ( SV767 @ ( SV235 @ SY2511 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2975]) ).

thf(3286,plain,
    ! [SV237: set_c,SV540: c > sum_sum_c_d,SV768: c > set_Sum_sum_c_d] :
      ( ( ( ~ ( member_c @ ( sK41_SY2512 @ SV768 @ SV540 @ SV237 ) @ SV237 )
          | ( member_Sum_sum_c_d @ ( SV540 @ ( sK41_SY2512 @ SV768 @ SV540 @ SV237 ) ) @ ( SV768 @ ( sK41_SY2512 @ SV768 @ SV540 @ SV237 ) ) ) )
        = $false )
      | ( ( member_c_Sum_sum_c_d @ SV540 @ ( pi_c_Sum_sum_c_d @ SV237 @ SV768 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2976]) ).

thf(3287,plain,
    ! [SV910: set_Sum_sum_c_c,SV769: sum_sum_c_c,SV541: sum_sum_c_c > c,SV238: c] :
      ( ( ( SV238
          = ( SV541 @ SV769 ) )
        = $false )
      | ( ( ~ ( member_Sum_sum_c_c @ SV769 @ SV910 )
          | ( member_c @ SV238 @ ( image_Sum_sum_c_c_c @ SV541 @ SV910 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2977]) ).

thf(3288,plain,
    ! [SV911: set_c,SV770: c,SV542: c > real > finite1398487019real_c,SV239: real > finite1398487019real_c] :
      ( ( ( SV239
          = ( SV542 @ SV770 ) )
        = $false )
      | ( ( ~ ( member_c @ SV770 @ SV911 )
          | ( member1321351885real_c @ SV239 @ ( image_1226855921real_c @ SV542 @ SV911 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2978]) ).

thf(3289,plain,
    ! [SV912: sum_sum_c_d,SV771: sum_sum_c_d > set_Sum_sum_c_c,SV543: set_Sum_sum_c_d,SV240: sum_sum_c_d > sum_sum_c_c] :
      ( ( ( member71251457um_c_c @ SV240 @ ( pi_Sum1145067928um_c_c @ SV543 @ SV771 ) )
        = $false )
      | ( ( ~ ( member_Sum_sum_c_d @ SV912 @ SV543 )
          | ( member_Sum_sum_c_c @ ( SV240 @ SV912 ) @ ( SV771 @ SV912 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2979]) ).

thf(3290,plain,
    ! [SV241: set_c,SV544: c > sum_sum_c_d,SV772: set_Sum_sum_c_d] :
      ( ( ( ~ ( member_c @ ( sK42_SY2516 @ SV772 @ SV544 @ SV241 ) @ SV241 )
          | ( member_Sum_sum_c_d @ ( SV544 @ ( sK42_SY2516 @ SV772 @ SV544 @ SV241 ) ) @ SV772 ) )
        = $false )
      | ( ( member_c_Sum_sum_c_d @ SV544
          @ ( pi_c_Sum_sum_c_d @ SV241
            @ ^ [SY2517: c] : SV772 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2980]) ).

thf(3291,plain,
    ! [SV913: sum_sum_c_d > c,SV773: c,SV545: set_Sum_sum_c_d,SV242: sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ SV242 @ SV545 )
        = $false )
      | ( ( ( SV773
           != ( SV913 @ SV242 ) )
          | ( member_c @ SV773 @ ( image_Sum_sum_c_d_c @ SV913 @ SV545 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2981]) ).

thf(3292,plain,
    ! [SV243: set_Sum_sum_c_c,SV546: sum_sum_c_c > sum_sum_c_d,SV774: set_Sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sK43_SY2519 @ SV774 @ SV546 @ SV243 ) @ SV243 )
          | ( member_Sum_sum_c_d @ ( SV546 @ ( sK43_SY2519 @ SV774 @ SV546 @ SV243 ) ) @ SV774 ) )
        = $false )
      | ( ( member318754689um_c_d @ SV546
          @ ( pi_Sum261268376um_c_d @ SV243
            @ ^ [SY2520: sum_sum_c_c] : SV774 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2982]) ).

thf(3293,plain,
    ! [SV547: set_Sum_sum_c_c,SV244: set_Sum_sum_c_c,SV775: sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ SV775 @ SV244 ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ SV775 @ SV547 )
        = $true )
      | ( ( ord_le1772180283um_c_c @ SV244 @ SV547 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2983]) ).

thf(3294,plain,
    ! [SV914: produc190496183real_c,SV548: produc190496183real_c] :
      ( ( ( ~ ( ( ord_le850691415real_c @ SV548 @ SV914 )
              | ~ ( ~ ( ord_le775706699real_c @ ( produc2010422875real_c @ SV548 ) @ ( produc2010422875real_c @ SV914 ) )
                  | ~ ( ord_le775706699real_c @ ( produc314122909real_c @ SV548 ) @ ( produc314122909real_c @ SV914 ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ord_le850691415real_c @ SV548 @ SV914 )
              | ~ ~ ( ~ ( ord_le775706699real_c @ ( produc2010422875real_c @ SV548 ) @ ( produc2010422875real_c @ SV914 ) )
                    | ~ ( ord_le775706699real_c @ ( produc314122909real_c @ SV548 ) @ ( produc314122909real_c @ SV914 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2984]) ).

thf(3295,plain,
    ! [SV915: sum_sum_c_c,SV777: sum_sum_c_c > set_Sum_sum_c_d,SV550: set_Sum_sum_c_c,SV247: sum_sum_c_c > sum_sum_c_d] :
      ( ( ( member318754689um_c_d @ SV247 @ ( pi_Sum261268376um_c_d @ SV550 @ SV777 ) )
        = $false )
      | ( ( ~ ( member_Sum_sum_c_c @ SV915 @ SV550 )
          | ( member_Sum_sum_c_d @ ( SV247 @ SV915 ) @ ( SV777 @ SV915 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2986]) ).

thf(3296,plain,
    ! [SV916: real > finite1398487019real_c,SV778: set_Pr1389752855real_c,SV551: set_re2066790124real_c,SV248: ( real > finite1398487019real_c ) > produc190496183real_c] :
      ( ( ( member954762593real_c @ SV248
          @ ( pi_rea1379668980real_c @ SV551
            @ ^ [SY2523: real > finite1398487019real_c] : SV778 ) )
        = $false )
      | ( ( ~ ( member1321351885real_c @ SV916 @ SV551 )
          | ( member1895684704real_c @ ( SV248 @ SV916 ) @ SV778 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2987]) ).

thf(3297,plain,
    ! [SV249: set_c,SV552: c > real > finite1398487019real_c,SV779: set_re2066790124real_c] :
      ( ( ( ~ ( member_c @ ( sK44_SY2524 @ SV779 @ SV552 @ SV249 ) @ SV249 )
          | ( member1321351885real_c @ ( SV552 @ ( sK44_SY2524 @ SV779 @ SV552 @ SV249 ) ) @ SV779 ) )
        = $false )
      | ( ( ord_le35002188real_c @ ( image_1226855921real_c @ SV552 @ SV249 ) @ SV779 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2988]) ).

thf(3298,plain,
    ! [SV553: c > $o,SV250: c > $o] :
      ( ( ( ord_less_eq_set_c @ ( collect_c @ SV250 ) @ ( collect_c @ SV553 ) )
        = $false )
      | ( ( ~ ( ~ ( ord_less_eq_set_c @ ( collect_c @ SV250 ) @ ( collect_c @ SV553 ) )
              | ~ ! [SY2211: c] :
                    ( ~ ( SV250 @ SY2211 )
                    | ( SV553 @ SY2211 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2989]) ).

thf(3299,plain,
    ! [SV553: c > $o,SV250: c > $o] :
      ( ( ( ! [SY2211: c] :
              ( ~ ( SV250 @ SY2211 )
              | ( SV553 @ SY2211 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ord_less_eq_set_c @ ( collect_c @ SV250 ) @ ( collect_c @ SV553 ) )
              | ~ ! [SY2211: c] :
                    ( ~ ( SV250 @ SY2211 )
                    | ( SV553 @ SY2211 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2989]) ).

thf(3300,plain,
    ! [SV251: set_re2066790124real_c,SV554: set_re2066790124real_c] :
      ( ( ( ~ ( member1321351885real_c @ ( sK10_SY2212 @ SV554 @ SV251 ) @ SV251 ) )
        = $false )
      | ( ( ord_le35002188real_c @ SV251 @ SV554 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2990]) ).

thf(3301,plain,
    ! [SV251: set_re2066790124real_c,SV554: set_re2066790124real_c] :
      ( ( ( member1321351885real_c @ ( sK10_SY2212 @ SV554 @ SV251 ) @ SV554 )
        = $false )
      | ( ( ord_le35002188real_c @ SV251 @ SV554 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2990]) ).

thf(3302,plain,
    ( ( ( ode = oDEa )
      = $false )
    | ( ( ( p != phi )
        | ~ ( ord_less_eq_real @ zero_zero_real @ t )
        | ( ( produc394644079real_c @ aa @ ba )
         != ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
        | ~ ( initia1631504802real_c @ sol
            @ ^ [SX0: real] : ( denota1275485728_a_b_c @ i @ oDEa )
            @ ( set_or656347191t_real @ zero_zero_real @ t )
            @ ( collec230941376real_c
              @ ^ [SX0: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ SX0 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) )
        | ~ ( denota256060419gree_c @ ( sol @ zero_zero_real ) @ ab
            @ ( collect_c
              @ ^ [SX0: c] :
                  ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_BVO_a_c @ oDEa ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( static_FVO_a_c @ oDEa ) ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_FVF_a_b_c @ phi ) ) ) ) )
        | ( ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) )
          = ( denota161327353_a_b_c @ i @ oDEa
            @ ( produc394644079real_c
              @ ( finite557796307c_real
                @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
              @ bb )
            @ ( finite557796307c_real
              @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ t ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) ) )
      = $true )
    | ( ( fsafe_a_b_c @ phi )
      = $false )
    | ( ( osafe_a_c @ oDEa )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2992]) ).

thf(3303,plain,
    ( ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $true )
    | ( ( ~ ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) ) )
      = $true )
    | ( ( ( finite772340578real_c @ ( produc2010422875real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) ) @ i2 )
        = ( finite772340578real_c @ ab @ i2 ) )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2993]) ).

thf(3304,plain,
    ! [SV556: c > $o,SV253: c > $o] :
      ( ( ( ~ ( ( SV253 @ ( sK11_SY2213 @ SV556 @ SV253 ) )
              | ( SV556 @ ( sK11_SY2213 @ SV556 @ SV253 ) ) )
          | ~ ( ~ ( SV253 @ ( sK11_SY2213 @ SV556 @ SV253 ) )
              | ~ ( SV556 @ ( sK11_SY2213 @ SV556 @ SV253 ) ) ) )
        = $false )
      | ( ( ( collect_c @ SV253 )
          = ( collect_c @ SV556 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[2994]) ).

thf(3305,plain,
    ! [SV556: c > $o,SV253: c > $o] :
      ( ( ( ( SV253 @ ( sK11_SY2213 @ SV556 @ SV253 ) )
          = ( SV556 @ ( sK11_SY2213 @ SV556 @ SV253 ) ) )
        = $false )
      | ( ( ( collect_c @ SV253 )
          = ( collect_c @ SV556 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[2994]) ).

thf(3306,plain,
    ! [SV254: set_Sum_sum_c_d,SV557: sum_sum_c_d > c,SV780: sum_sum_c_d > set_c] :
      ( ( ( ~ ( member_Sum_sum_c_d @ ( sK45_SY2525 @ SV780 @ SV557 @ SV254 ) @ SV254 )
          | ( member_c @ ( SV557 @ ( sK45_SY2525 @ SV780 @ SV557 @ SV254 ) ) @ ( SV780 @ ( sK45_SY2525 @ SV780 @ SV557 @ SV254 ) ) ) )
        = $false )
      | ( ( member_Sum_sum_c_d_c @ SV557 @ ( pi_Sum_sum_c_d_c @ SV254 @ SV780 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2995]) ).

thf(3307,plain,
    ! [SV255: set_Sum_sum_c_c,SV558: sum_sum_c_c > sum_sum_c_c,SV781: set_Sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sK46_SY2526 @ SV781 @ SV558 @ SV255 ) @ SV255 )
          | ( member_Sum_sum_c_c @ ( SV558 @ ( sK46_SY2526 @ SV781 @ SV558 @ SV255 ) ) @ SV781 ) )
        = $false )
      | ( ( ord_le1772180283um_c_c @ ( image_666880337um_c_c @ SV558 @ SV255 ) @ SV781 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[2996]) ).

thf(3308,plain,
    ! [SV917: c > c,SV782: c,SV559: set_c,SV256: c] :
      ( ( ( member_c @ SV256 @ SV559 )
        = $false )
      | ( ( ( SV782
           != ( SV917 @ SV256 ) )
          | ( member_c @ SV782 @ ( image_c_c @ SV917 @ SV559 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2997]) ).

thf(3309,plain,
    ! [SV918: set_Sum_sum_c_d,SV784: sum_sum_c_d,SV561: sum_sum_c_d > c,SV258: c] :
      ( ( ( SV258
          = ( SV561 @ SV784 ) )
        = $false )
      | ( ( ~ ( member_Sum_sum_c_d @ SV784 @ SV918 )
          | ( member_c @ SV258 @ ( image_Sum_sum_c_d_c @ SV561 @ SV918 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2998]) ).

thf(3310,plain,
    ( ( ( ode = oDEa )
      = $false )
    | ( ( ( p != phi )
        | ~ ( ord_less_eq_real @ zero_zero_real @ t )
        | ( ( produc394644079real_c @ aa @ ba )
         != ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
        | ~ ( initia1631504802real_c @ sol
            @ ^ [SX0: real] : ( denota1275485728_a_b_c @ i @ oDEa )
            @ ( set_or656347191t_real @ zero_zero_real @ t )
            @ ( collec230941376real_c
              @ ^ [SX0: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ SX0 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) )
        | ~ ( denota256060419gree_c @ ( sol @ zero_zero_real ) @ ab
            @ ( collect_c
              @ ^ [SX0: c] :
                  ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_BVO_a_c @ oDEa ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( static_FVO_a_c @ oDEa ) ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_FVF_a_b_c @ phi ) ) ) ) )
        | ( ord_less_eq_real @ zero_zero_real @ t ) )
      = $true )
    | ( ( fsafe_a_b_c @ phi )
      = $false )
    | ( ( osafe_a_c @ oDEa )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3002]) ).

thf(3311,plain,
    ! [SV919: sum_sum_c_c > sum_sum_c_d,SV786: sum_sum_c_d,SV563: set_Sum_sum_c_c,SV260: sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ SV260 @ SV563 )
        = $false )
      | ( ( ( SV786
           != ( SV919 @ SV260 ) )
          | ( member_Sum_sum_c_d @ SV786 @ ( image_675141842um_c_d @ SV919 @ SV563 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3003]) ).

thf(3312,plain,
    ! [SV261: set_Sum_sum_c_d,SV564: sum_sum_c_d > c,SV787: set_c] :
      ( ( ( ~ ( member_Sum_sum_c_d @ ( sK47_SY2532 @ SV787 @ SV564 @ SV261 ) @ SV261 )
          | ( member_c @ ( SV564 @ ( sK47_SY2532 @ SV787 @ SV564 @ SV261 ) ) @ SV787 ) )
        = $false )
      | ( ( member_Sum_sum_c_d_c @ SV564
          @ ( pi_Sum_sum_c_d_c @ SV261
            @ ^ [SY2533: sum_sum_c_d] : SV787 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[3004]) ).

thf(3313,plain,
    ! [SV920: c,SV788: finite1398487019real_c,SV565: finite1398487019real_c,SV262: $o] :
      ( ( ~ ( ~ SV262
            | ( ( finite772340578real_c @ ( if_Fin36944805real_c @ SV262 @ SV565 @ SV788 ) @ SV920 )
              = ( finite772340578real_c @ SV565 @ SV920 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3005]) ).

thf(3314,plain,
    ! [SV920: c,SV788: finite1398487019real_c,SV565: finite1398487019real_c,SV262: $o] :
      ( ( ~ ( ~ ~ SV262
            | ( ( finite772340578real_c @ ( if_Fin36944805real_c @ SV262 @ SV565 @ SV788 ) @ SV920 )
              = ( finite772340578real_c @ SV788 @ SV920 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3005]) ).

thf(3315,plain,
    ! [SV921: c,SV789: finite1398487019real_c,SV566: finite1398487019real_c] :
      ( ( ~ ( ~ $true
            | ( ( finite772340578real_c @ ( if_Fin36944805real_c @ $true @ SV566 @ SV789 ) @ SV921 )
              = ( finite772340578real_c @ SV566 @ SV921 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3006]) ).

thf(3316,plain,
    ! [SV921: c,SV789: finite1398487019real_c,SV566: finite1398487019real_c] :
      ( ( ~ ( ~ ~ $true
            | ( ( finite772340578real_c @ ( if_Fin36944805real_c @ $true @ SV566 @ SV789 ) @ SV921 )
              = ( finite772340578real_c @ SV789 @ SV921 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3006]) ).

thf(3317,plain,
    ! [SV922: c,SV790: finite1398487019real_c,SV567: finite1398487019real_c] :
      ( ( ~ ( ~ $false
            | ( ( finite772340578real_c @ ( if_Fin36944805real_c @ $false @ SV567 @ SV790 ) @ SV922 )
              = ( finite772340578real_c @ SV567 @ SV922 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3007]) ).

thf(3318,plain,
    ! [SV922: c,SV790: finite1398487019real_c,SV567: finite1398487019real_c] :
      ( ( ~ ( ~ ~ $false
            | ( ( finite772340578real_c @ ( if_Fin36944805real_c @ $false @ SV567 @ SV790 ) @ SV922 )
              = ( finite772340578real_c @ SV790 @ SV922 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3007]) ).

thf(3319,plain,
    ! [SV264: set_real,SV569: real > finite1398487019real_c,SV791: set_Fi1407883041real_c] :
      ( ( ( ~ ( member_real @ ( sK48_SY2537 @ SV791 @ SV569 @ SV264 ) @ SV264 )
          | ( member1261661570real_c @ ( SV569 @ ( sK48_SY2537 @ SV791 @ SV569 @ SV264 ) ) @ SV791 ) )
        = $false )
      | ( ( member1321351885real_c @ SV569
          @ ( pi_rea1111636068real_c @ SV264
            @ ^ [SY2538: real] : SV791 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[3008]) ).

thf(3320,plain,
    ! [SV923: produc190496183real_c,SV792: produc190496183real_c,SV570: set_Sum_sum_c_c,SV265: set_Sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ SV265 @ SV570 )
        = $false )
      | ( ( ~ ( denota1997846518gree_c @ SV792 @ SV923 @ SV570 )
          | ( denota1997846518gree_c @ SV792 @ SV923 @ SV265 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3009]) ).

thf(3321,plain,
    ! [SV924: produc190496183real_c,SV793: real,SV571: c,SV266: produc190496183real_c] :
      ( ( ( ( denotational_repd_c @ SV266 @ SV571 @ SV793 )
          = SV924 )
        = $false )
      | ( ( SV924
          = ( produc394644079real_c @ ( produc2010422875real_c @ SV266 )
            @ ( finite557796307c_real
              @ ^ [SY2541: c] : ( if_real @ ( SV571 = SY2541 ) @ SV793 @ ( finite772340578real_c @ ( produc314122909real_c @ SV266 ) @ SY2541 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3010]) ).

thf(3322,plain,
    ! [SV267: set_c,SV572: c > sum_sum_c_c,SV794: c > set_Sum_sum_c_c] :
      ( ( ( ~ ( member_c @ ( sK49_SY2542 @ SV794 @ SV572 @ SV267 ) @ SV267 )
          | ( member_Sum_sum_c_c @ ( SV572 @ ( sK49_SY2542 @ SV794 @ SV572 @ SV267 ) ) @ ( SV794 @ ( sK49_SY2542 @ SV794 @ SV572 @ SV267 ) ) ) )
        = $false )
      | ( ( member_c_Sum_sum_c_c @ SV572 @ ( pi_c_Sum_sum_c_c @ SV267 @ SV794 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[3011]) ).

thf(3323,plain,
    ! [SV268: set_c,SV573: c > sum_sum_c_c,SV795: set_Sum_sum_c_c] :
      ( ( ( ~ ( member_c @ ( sK50_SY2543 @ SV795 @ SV573 @ SV268 ) @ SV268 )
          | ( member_Sum_sum_c_c @ ( SV573 @ ( sK50_SY2543 @ SV795 @ SV573 @ SV268 ) ) @ SV795 ) )
        = $false )
      | ( ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV573 @ SV268 ) @ SV795 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[3012]) ).

thf(3324,plain,
    ! [SV574: set_Sum_sum_c_d,SV269: set_Sum_sum_c_d,SV796: sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_d @ SV796 @ SV269 ) )
        = $true )
      | ( ( member_Sum_sum_c_d @ SV796 @ SV574 )
        = $true )
      | ( ( ord_le764260924um_c_d @ SV269 @ SV574 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3013]) ).

thf(3325,plain,
    ! [SV575: c > $o,SV270: c > $o] :
      ( ( ( ~ ( SV270 @ ( sK12_SY2250 @ SV575 @ SV270 ) ) )
        = $false )
      | ( ( ord_less_eq_set_c @ ( collect_c @ SV270 ) @ ( collect_c @ SV575 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3014]) ).

thf(3326,plain,
    ! [SV270: c > $o,SV575: c > $o] :
      ( ( ( SV575 @ ( sK12_SY2250 @ SV575 @ SV270 ) )
        = $false )
      | ( ( ord_less_eq_set_c @ ( collect_c @ SV270 ) @ ( collect_c @ SV575 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3014]) ).

thf(3327,plain,
    ! [SV925: real,SV797: real,SV576: real,SV271: real] :
      ( ( ( ~ ( ( ord_less_eq_set_real @ ( set_or656347191t_real @ SV271 @ SV576 ) @ ( set_or656347191t_real @ SV797 @ SV925 ) )
              | ~ ( ord_less_eq_real @ SV271 @ SV576 )
              | ~ ( ~ ( ord_less_eq_real @ SV797 @ SV271 )
                  | ~ ( ord_less_eq_real @ SV576 @ SV925 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ord_less_eq_set_real @ ( set_or656347191t_real @ SV271 @ SV576 ) @ ( set_or656347191t_real @ SV797 @ SV925 ) )
              | ~ ( ~ ( ord_less_eq_real @ SV271 @ SV576 )
                  | ~ ( ~ ( ord_less_eq_real @ SV797 @ SV271 )
                      | ~ ( ord_less_eq_real @ SV576 @ SV925 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3015]) ).

thf(3328,plain,
    ! [SV926: set_re2066790124real_c,SV577: set_re2066790124real_c] :
      ( ( ( ~ ( ( ord_le35002188real_c @ SV577 @ SV926 )
              | ! [SY2643: real > finite1398487019real_c] :
                  ( ~ ( member1321351885real_c @ SY2643 @ SV577 )
                  | ( member1321351885real_c @ SY2643 @ SV926 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ord_le35002188real_c @ SV577 @ SV926 )
              | ~ ! [SY2643: real > finite1398487019real_c] :
                    ( ~ ( member1321351885real_c @ SY2643 @ SV577 )
                    | ( member1321351885real_c @ SY2643 @ SV926 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3017]) ).

thf(3329,plain,
    ! [SV927: set_Pr1389752855real_c,SV578: set_Pr1389752855real_c] :
      ( ( ( ~ ( ( ord_le977353143real_c @ SV578 @ SV927 )
              | ! [SY2644: produc190496183real_c] :
                  ( ~ ( member1895684704real_c @ SY2644 @ SV578 )
                  | ( member1895684704real_c @ SY2644 @ SV927 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ord_le977353143real_c @ SV578 @ SV927 )
              | ~ ! [SY2644: produc190496183real_c] :
                    ( ~ ( member1895684704real_c @ SY2644 @ SV578 )
                    | ( member1895684704real_c @ SY2644 @ SV927 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3019]) ).

thf(3330,plain,
    ! [SV275: set_c,SV580: c > real > finite1398487019real_c,SV801: c > set_re2066790124real_c] :
      ( ( ( ~ ( member_c @ ( sK51_SY2547 @ SV801 @ SV580 @ SV275 ) @ SV275 )
          | ( member1321351885real_c @ ( SV580 @ ( sK51_SY2547 @ SV801 @ SV580 @ SV275 ) ) @ ( SV801 @ ( sK51_SY2547 @ SV801 @ SV580 @ SV275 ) ) ) )
        = $false )
      | ( ( member469531344real_c @ SV580 @ ( pi_c_r41638571real_c @ SV275 @ SV801 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[3022]) ).

thf(3331,plain,
    ! [SV928: c,SV802: c > set_Sum_sum_c_c,SV581: set_c,SV276: c > sum_sum_c_c] :
      ( ( ( member_c_Sum_sum_c_c @ SV276 @ ( pi_c_Sum_sum_c_c @ SV581 @ SV802 ) )
        = $false )
      | ( ( ~ ~ ( member_Sum_sum_c_c @ ( SV276 @ SV928 ) @ ( SV802 @ SV928 ) )
          | ~ ( member_c @ SV928 @ SV581 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3023]) ).

thf(3332,plain,
    ! [SV277: c] :
      ( ( ~ ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SV277 ) @ ( static_BVO_a_c @ oDEa ) )
            | ( ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SV277 )
              = ( finite772340578real_c @ ab @ SV277 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3024]) ).

thf(3333,plain,
    ! [SV277: c] :
      ( ( ~ ( ~ ( member_Sum_sum_c_d @ ( sum_Inl_c_d @ SV277 ) @ ( image_c_Sum_sum_c_d @ sum_Inl_c_d @ ( static_FVO_a_c @ oDEa ) ) )
            | ( ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SV277 )
              = ( finite772340578real_c @ ab @ SV277 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3024]) ).

thf(3334,plain,
    ! [SV277: c] :
      ( ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SV277 ) @ ( static_FVF_a_b_c @ phi ) )
        = $false )
      | ( ( ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SV277 )
          = ( finite772340578real_c @ ab @ SV277 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3025]) ).

thf(3335,plain,
    ! [SV929: sum_sum_c_c,SV803: sum_sum_c_c > set_Sum_sum_c_c,SV582: set_Sum_sum_c_c,SV278: sum_sum_c_c > sum_sum_c_c] :
      ( ( ( member1326674048um_c_c @ SV278 @ ( pi_Sum253006871um_c_c @ SV582 @ SV803 ) )
        = $false )
      | ( ( ~ ~ ( member_Sum_sum_c_c @ ( SV278 @ SV929 ) @ ( SV803 @ SV929 ) )
          | ~ ( member_Sum_sum_c_c @ SV929 @ SV582 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3026]) ).

thf(3336,plain,
    ! [SV279: set_Sum_sum_c_c,SV583: sum_sum_c_c > sum_sum_c_c,SV804: sum_sum_c_c > set_Sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sK52_SY2550 @ SV804 @ SV583 @ SV279 ) @ SV279 )
          | ( member_Sum_sum_c_c @ ( SV583 @ ( sK52_SY2550 @ SV804 @ SV583 @ SV279 ) ) @ ( SV804 @ ( sK52_SY2550 @ SV804 @ SV583 @ SV279 ) ) ) )
        = $false )
      | ( ( member1326674048um_c_c @ SV583 @ ( pi_Sum253006871um_c_c @ SV279 @ SV804 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[3027]) ).

thf(3337,plain,
    ! [SV930: sum_sum_c_c,SV805: sum_sum_c_c > set_c,SV584: set_Sum_sum_c_c,SV280: sum_sum_c_c > c] :
      ( ( ( member_Sum_sum_c_c_c @ SV280 @ ( pi_Sum_sum_c_c_c @ SV584 @ SV805 ) )
        = $false )
      | ( ( ~ ~ ( member_c @ ( SV280 @ SV930 ) @ ( SV805 @ SV930 ) )
          | ~ ( member_Sum_sum_c_c @ SV930 @ SV584 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3028]) ).

thf(3338,plain,
    ! [SV806: set_Sum_sum_c_c,SV585: sum_sum_c_c > sum_sum_c_d,SV281: sum_sum_c_d] :
      ( ( ( ! [SY2552: sum_sum_c_c] :
              ( ( SV281
               != ( SV585 @ SY2552 ) )
              | ~ ( member_Sum_sum_c_c @ SY2552 @ SV806 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_d @ SV281 @ ( image_675141842um_c_d @ SV585 @ SV806 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3029]) ).

thf(3339,plain,
    ! [SV282: set_c,SV586: c > sum_sum_c_c,SV807: c > set_Sum_sum_c_c] :
      ( ( ( ~ ( member_c @ ( sK53_SY2553 @ SV807 @ SV586 @ SV282 ) @ SV282 )
          | ( member_Sum_sum_c_c @ ( SV586 @ ( sK53_SY2553 @ SV807 @ SV586 @ SV282 ) ) @ ( SV807 @ ( sK53_SY2553 @ SV807 @ SV586 @ SV282 ) ) ) )
        = $false )
      | ( ( member_c_Sum_sum_c_c @ SV586 @ ( pi_c_Sum_sum_c_c @ SV282 @ SV807 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[3030]) ).

thf(3340,plain,
    ! [SV931: finite1398487019real_c,SV808: finite1398487019real_c,SV587: set_c,SV283: set_c] :
      ( ( ( ord_less_eq_set_c @ SV283 @ SV587 )
        = $false )
      | ( ( ~ ( denota256060419gree_c @ SV808 @ SV931 @ SV587 )
          | ( denota256060419gree_c @ SV808 @ SV931 @ SV283 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3031]) ).

thf(3341,plain,
    ! [SV932: real > finite1398487019real_c,SV809: set_Sum_sum_c_d,SV588: set_re2066790124real_c,SV284: ( real > finite1398487019real_c ) > sum_sum_c_d] :
      ( ( ( member1494186770um_c_d @ SV284
          @ ( pi_rea1508591913um_c_d @ SV588
            @ ^ [SY2556: real > finite1398487019real_c] : SV809 ) )
        = $false )
      | ( ( ~ ( member1321351885real_c @ SV932 @ SV588 )
          | ( member_Sum_sum_c_d @ ( SV284 @ SV932 ) @ SV809 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3032]) ).

thf(3342,plain,
    ! [SV933: c > sum_sum_c_d,SV810: sum_sum_c_d,SV589: set_c,SV285: c] :
      ( ( ( member_c @ SV285 @ SV589 )
        = $false )
      | ( ( ( SV810
           != ( SV933 @ SV285 ) )
          | ( member_Sum_sum_c_d @ SV810 @ ( image_c_Sum_sum_c_d @ SV933 @ SV589 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3033]) ).

thf(3343,plain,
    ! [SV286: set_c,SV590: c > c,SV811: c > set_c] :
      ( ( ( ~ ( member_c @ ( sK54_SY2558 @ SV811 @ SV590 @ SV286 ) @ SV286 )
          | ( member_c @ ( SV590 @ ( sK54_SY2558 @ SV811 @ SV590 @ SV286 ) ) @ ( SV811 @ ( sK54_SY2558 @ SV811 @ SV590 @ SV286 ) ) ) )
        = $false )
      | ( ( member_c_c @ SV590 @ ( pi_c_c @ SV286 @ SV811 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[3034]) ).

thf(3344,plain,
    ! [SV934: c > real > finite1398487019real_c,SV812: real > finite1398487019real_c,SV591: set_c,SV287: c] :
      ( ( ( member_c @ SV287 @ SV591 )
        = $false )
      | ( ( ( SV812
           != ( SV934 @ SV287 ) )
          | ( member1321351885real_c @ SV812 @ ( image_1226855921real_c @ SV934 @ SV591 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3035]) ).

thf(3345,plain,
    ! [SV935: produc190496183real_c,SV813: finite1398487019real_c,SV592: oDE_a_c,SV288: denota231621370t_unit] :
      ( ( ( ( denota1896987029_a_b_c @ SV288 @ SV592 @ SV813 )
          = SV935 )
        = $false )
      | ( ( SV935
          = ( produc394644079real_c @ SV813 @ ( denota1275485728_a_b_c @ SV288 @ SV592 @ SV813 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3036]) ).

thf(3346,plain,
    ! [SV936: set_Sum_sum_c_c,SV814: sum_sum_c_c,SV593: sum_sum_c_c > sum_sum_c_c,SV289: sum_sum_c_c] :
      ( ( ( SV289
          = ( SV593 @ SV814 ) )
        = $false )
      | ( ( ~ ( member_Sum_sum_c_c @ SV814 @ SV936 )
          | ( member_Sum_sum_c_c @ SV289 @ ( image_666880337um_c_c @ SV593 @ SV936 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3037]) ).

thf(3347,plain,
    ( ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $true )
    | ( ( ~ ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) ) )
      = $true )
    | ( ( ( finite772340578real_c @ ( produc314122909real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) ) @ i2 )
        = ( finite772340578real_c @ bb @ i2 ) )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3038]) ).

thf(3348,plain,
    ! [SV293: set_Sum_sum_c_d,SV597: sum_sum_c_d > sum_sum_c_c,SV817: sum_sum_c_d > set_Sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_d @ ( sK55_SY2562 @ SV817 @ SV597 @ SV293 ) @ SV293 )
          | ( member_Sum_sum_c_c @ ( SV597 @ ( sK55_SY2562 @ SV817 @ SV597 @ SV293 ) ) @ ( SV817 @ ( sK55_SY2562 @ SV817 @ SV597 @ SV293 ) ) ) )
        = $false )
      | ( ( member71251457um_c_c @ SV597 @ ( pi_Sum1145067928um_c_c @ SV293 @ SV817 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[3042]) ).

thf(3349,plain,
    ! [SV819: set_Sum_sum_c_c,SV601: sum_sum_c_c > sum_sum_c_c,SV297: sum_sum_c_c] :
      ( ( ( ! [SY2565: sum_sum_c_c] :
              ( ( SV297
               != ( SV601 @ SY2565 ) )
              | ~ ( member_Sum_sum_c_c @ SY2565 @ SV819 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ SV297 @ ( image_666880337um_c_c @ SV601 @ SV819 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3044]) ).

thf(3350,plain,
    ! [SV820: set_Sum_sum_c_d,SV602: sum_sum_c_d > c,SV298: c] :
      ( ( ( ! [SY2566: sum_sum_c_d] :
              ( ( SV298
               != ( SV602 @ SY2566 ) )
              | ~ ( member_Sum_sum_c_d @ SY2566 @ SV820 ) ) )
        = $false )
      | ( ( member_c @ SV298 @ ( image_Sum_sum_c_d_c @ SV602 @ SV820 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3045]) ).

thf(3351,plain,
    ! [SV299: set_Sum_sum_c_d,SV603: sum_sum_c_d > sum_sum_c_c,SV821: sum_sum_c_d > set_Sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_d @ ( sK56_SY2567 @ SV821 @ SV603 @ SV299 ) @ SV299 )
          | ( member_Sum_sum_c_c @ ( SV603 @ ( sK56_SY2567 @ SV821 @ SV603 @ SV299 ) ) @ ( SV821 @ ( sK56_SY2567 @ SV821 @ SV603 @ SV299 ) ) ) )
        = $false )
      | ( ( member71251457um_c_c @ SV603 @ ( pi_Sum1145067928um_c_c @ SV299 @ SV821 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[3046]) ).

thf(3352,plain,
    ! [SV300: set_c,SV604: c > sum_sum_c_d,SV822: c > set_Sum_sum_c_d] :
      ( ( ( ~ ( member_c @ ( sK57_SY2568 @ SV822 @ SV604 @ SV300 ) @ SV300 )
          | ( member_Sum_sum_c_d @ ( SV604 @ ( sK57_SY2568 @ SV822 @ SV604 @ SV300 ) ) @ ( SV822 @ ( sK57_SY2568 @ SV822 @ SV604 @ SV300 ) ) ) )
        = $false )
      | ( ( member_c_Sum_sum_c_d @ SV604 @ ( pi_c_Sum_sum_c_d @ SV300 @ SV822 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[3047]) ).

thf(3353,plain,
    ! [SV823: set_Sum_sum_c_d,SV605: sum_sum_c_d > sum_sum_c_d,SV301: sum_sum_c_d] :
      ( ( ( ! [SY2569: sum_sum_c_d] :
              ( ( SV301
               != ( SV605 @ SY2569 ) )
              | ~ ( member_Sum_sum_c_d @ SY2569 @ SV823 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_d @ SV301 @ ( image_1567202899um_c_d @ SV605 @ SV823 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3048]) ).

thf(3354,plain,
    ! [SV937: produc957004601l_real,SV606: produc957004601l_real] :
      ( ( ( ~ ( ( ord_le1342644953l_real @ SV606 @ SV937 )
              | ~ ( ~ ( ord_less_eq_real @ ( produc1422991709l_real @ SV606 ) @ ( produc1422991709l_real @ SV937 ) )
                  | ~ ( ord_less_eq_real @ ( produc1407670175l_real @ SV606 ) @ ( produc1407670175l_real @ SV937 ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ord_le1342644953l_real @ SV606 @ SV937 )
              | ~ ~ ( ~ ( ord_less_eq_real @ ( produc1422991709l_real @ SV606 ) @ ( produc1422991709l_real @ SV937 ) )
                    | ~ ( ord_less_eq_real @ ( produc1407670175l_real @ SV606 ) @ ( produc1407670175l_real @ SV937 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3049]) ).

thf(3355,plain,
    ! [SV303: set_Sum_sum_c_c,SV607: sum_sum_c_c > c,SV825: sum_sum_c_c > set_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sK58_SY2570 @ SV825 @ SV607 @ SV303 ) @ SV303 )
          | ( member_c @ ( SV607 @ ( sK58_SY2570 @ SV825 @ SV607 @ SV303 ) ) @ ( SV825 @ ( sK58_SY2570 @ SV825 @ SV607 @ SV303 ) ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c_c @ SV607 @ ( pi_Sum_sum_c_c_c @ SV303 @ SV825 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[3053]) ).

thf(3356,plain,
    ! [SV608: produc190496183real_c,SV304: produc190496183real_c] :
      ( ( ( ~ ( ( member1895684704real_c @ SV304 @ ( denota968303861_a_b_c @ i @ p ) )
              | ( member1895684704real_c @ SV608 @ ( denota968303861_a_b_c @ i @ p ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV304 @ ( denota968303861_a_b_c @ i @ p ) )
              | ~ ( member1895684704real_c @ SV608 @ ( denota968303861_a_b_c @ i @ p ) ) ) )
        = $true )
      | ( ( denota1997846518gree_c @ SV304 @ SV608 @ ( static_FVF_a_b_c @ p ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3054]) ).

thf(3357,plain,
    ! [SV938: c > sum_sum_c_d,SV826: c > sum_sum_c_d,SV609: set_c,SV305: set_c] :
      ( ( ( SV305 = SV609 )
        = $false )
      | ( ( ~ ! [SY2646: c] :
                ( ~ ( member_c @ SY2646 @ SV609 )
                | ( ( SV826 @ SY2646 )
                  = ( SV938 @ SY2646 ) ) )
          | ( ( image_c_Sum_sum_c_d @ SV826 @ SV305 )
            = ( image_c_Sum_sum_c_d @ SV938 @ SV609 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3056]) ).

thf(3358,plain,
    ! [SV306: set_Sum_sum_c_c,SV610: sum_sum_c_c > c,SV827: sum_sum_c_c > set_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sK59_SY2573 @ SV827 @ SV610 @ SV306 ) @ SV306 )
          | ( member_c @ ( SV610 @ ( sK59_SY2573 @ SV827 @ SV610 @ SV306 ) ) @ ( SV827 @ ( sK59_SY2573 @ SV827 @ SV610 @ SV306 ) ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c_c @ SV610 @ ( pi_Sum_sum_c_c_c @ SV306 @ SV827 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[3057]) ).

thf(3359,plain,
    ! [SV307: set_Pr1389752855real_c,SV611: set_Pr1389752855real_c] :
      ( ( ( ~ ( member1895684704real_c @ ( sK13_SY2313 @ SV611 @ SV307 ) @ SV307 ) )
        = $false )
      | ( ( ord_le977353143real_c @ SV307 @ SV611 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3058]) ).

thf(3360,plain,
    ! [SV307: set_Pr1389752855real_c,SV611: set_Pr1389752855real_c] :
      ( ( ( member1895684704real_c @ ( sK13_SY2313 @ SV611 @ SV307 ) @ SV611 )
        = $false )
      | ( ( ord_le977353143real_c @ SV307 @ SV611 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3058]) ).

thf(3361,plain,
    ! [SV939: sum_sum_c_d > sum_sum_c_d,SV829: sum_sum_c_d,SV617: set_Sum_sum_c_d,SV313: sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ SV313 @ SV617 )
        = $false )
      | ( ( ( SV829
           != ( SV939 @ SV313 ) )
          | ( member_Sum_sum_c_d @ SV829 @ ( image_1567202899um_c_d @ SV939 @ SV617 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3060]) ).

thf(3362,plain,
    ! [SV940: c,SV830: c > set_c,SV618: set_c,SV314: c > c] :
      ( ( ( member_c_c @ SV314 @ ( pi_c_c @ SV618 @ SV830 ) )
        = $false )
      | ( ( ~ ~ ( member_c @ ( SV314 @ SV940 ) @ ( SV830 @ SV940 ) )
          | ~ ( member_c @ SV940 @ SV618 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3061]) ).

thf(3363,plain,
    ! [SV941: finite1398487019real_c,SV831: finite1398487019real_c,SV619: finite1398487019real_c,SV315: finite1398487019real_c] :
      ( ( ( ~ ( ( ord_le850691415real_c @ ( produc394644079real_c @ SV315 @ SV619 ) @ ( produc394644079real_c @ SV831 @ SV941 ) )
              | ~ ( ~ ( ord_le775706699real_c @ SV315 @ SV831 )
                  | ~ ( ord_le775706699real_c @ SV619 @ SV941 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ord_le850691415real_c @ ( produc394644079real_c @ SV315 @ SV619 ) @ ( produc394644079real_c @ SV831 @ SV941 ) )
              | ~ ~ ( ~ ( ord_le775706699real_c @ SV315 @ SV831 )
                    | ~ ( ord_le775706699real_c @ SV619 @ SV941 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3062]) ).

thf(3364,plain,
    ! [SV832: real > set_Fi1407883041real_c,SV620: set_real,SV316: real > finite1398487019real_c] :
      ( ( ( ( member1321351885real_c @ SV316 @ ( pi_rea1111636068real_c @ SV620 @ SV832 ) )
          | ! [SY2577: real] :
              ( ~ ( member_real @ SY2577 @ SV620 )
              | ( member1261661570real_c @ ( SV316 @ SY2577 ) @ ( SV832 @ SY2577 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( member1321351885real_c @ SV316 @ ( pi_rea1111636068real_c @ SV620 @ SV832 ) )
              | ~ ! [SY2577: real] :
                    ( ~ ( member_real @ SY2577 @ SV620 )
                    | ( member1261661570real_c @ ( SV316 @ SY2577 ) @ ( SV832 @ SY2577 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3064]) ).

thf(3365,plain,
    ! [SV622: set_Pr1389752855real_c,SV318: set_Pr1389752855real_c,SV834: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV834 @ SV318 ) )
        = $true )
      | ( ( member1895684704real_c @ SV834 @ SV622 )
        = $true )
      | ( ( ord_le977353143real_c @ SV318 @ SV622 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3066]) ).

thf(3366,plain,
    ! [SV942: real > finite1398487019real_c,SV835: ( real > finite1398487019real_c ) > set_c,SV623: set_re2066790124real_c,SV319: ( real > finite1398487019real_c ) > c] :
      ( ( ( member527957930al_c_c @ SV319 @ ( pi_rea1228756413al_c_c @ SV623 @ SV835 ) )
        = $false )
      | ( ( ~ ~ ( member_c @ ( SV319 @ SV942 ) @ ( SV835 @ SV942 ) )
          | ~ ( member1321351885real_c @ SV942 @ SV623 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3067]) ).

thf(3367,plain,
    ! [SV320: set_Sum_sum_c_c,SV624: set_Sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sK14_SY2329 @ SV624 @ SV320 ) @ SV320 ) )
        = $false )
      | ( ( ord_le1772180283um_c_c @ SV320 @ SV624 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3068]) ).

thf(3368,plain,
    ! [SV320: set_Sum_sum_c_c,SV624: set_Sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ ( sK14_SY2329 @ SV624 @ SV320 ) @ SV624 )
        = $false )
      | ( ( ord_le1772180283um_c_c @ SV320 @ SV624 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3068]) ).

thf(3369,plain,
    ! [SV943: set_c,SV837: c,SV626: c > c,SV322: c] :
      ( ( ( SV322
          = ( SV626 @ SV837 ) )
        = $false )
      | ( ( ~ ( member_c @ SV837 @ SV943 )
          | ( member_c @ SV322 @ ( image_c_c @ SV626 @ SV943 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3070]) ).

thf(3370,plain,
    ! [SV944: produc190496183real_c,SV627: produc190496183real_c] :
      ( ( ( ~ ( ( SV627 = SV944 )
              | ~ ( ( ( produc2010422875real_c @ SV627 )
                   != ( produc2010422875real_c @ SV944 ) )
                  | ( ( produc314122909real_c @ SV627 )
                   != ( produc314122909real_c @ SV944 ) ) ) ) )
        = $true )
      | ( ( ~ ( ( SV627 != SV944 )
              | ~ ~ ( ( ( produc2010422875real_c @ SV627 )
                     != ( produc2010422875real_c @ SV944 ) )
                    | ( ( produc314122909real_c @ SV627 )
                     != ( produc314122909real_c @ SV944 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3071]) ).

thf(3371,plain,
    ! [SV945: set_Pr1389752855real_c,SV628: set_Pr1389752855real_c] :
      ( ( ( ~ ( ( ord_le977353143real_c @ SV628 @ SV945 )
              | ! [SY2647: produc190496183real_c] :
                  ( ~ ( member1895684704real_c @ SY2647 @ SV628 )
                  | ( member1895684704real_c @ SY2647 @ SV945 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ord_le977353143real_c @ SV628 @ SV945 )
              | ~ ! [SY2647: produc190496183real_c] :
                    ( ~ ( member1895684704real_c @ SY2647 @ SV628 )
                    | ( member1895684704real_c @ SY2647 @ SV945 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3073]) ).

thf(3372,plain,
    ! [SV842: set_c,SV631: c > sum_sum_c_c,SV327: set_Sum_sum_c_c] :
      ( ( ( ( ord_le1772180283um_c_c @ SV327 @ ( image_c_Sum_sum_c_c @ SV631 @ SV842 ) )
          | ~ ! [SY2581: set_c] :
                ~ ~ ( ~ ( ord_less_eq_set_c @ SY2581 @ SV842 )
                    | ( SV327
                     != ( image_c_Sum_sum_c_c @ SV631 @ SY2581 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV327 @ ( image_c_Sum_sum_c_c @ SV631 @ SV842 ) )
              | ~ ~ ! [SY2581: set_c] :
                      ~ ~ ( ~ ( ord_less_eq_set_c @ SY2581 @ SV842 )
                          | ( SV327
                           != ( image_c_Sum_sum_c_c @ SV631 @ SY2581 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3077]) ).

thf(3373,plain,
    ! [SV844: sum_sum_c_d > $o,SV633: set_c,SV329: c > sum_sum_c_d] :
      ( ( ( ! [SY2584: sum_sum_c_d] :
              ~ ~ ( ~ ( member_Sum_sum_c_d @ SY2584 @ ( image_c_Sum_sum_c_d @ SV329 @ SV633 ) )
                  | ~ ( SV844 @ SY2584 ) ) )
        = $true )
      | ( ( ~ ! [SY2585: c] :
                ~ ~ ( ~ ( member_c @ SY2585 @ SV633 )
                    | ~ ( SV844 @ ( SV329 @ SY2585 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3078]) ).

thf(3374,plain,
    ! [SV946: set_Sum_sum_c_c,SV845: sum_sum_c_c,SV634: sum_sum_c_c > sum_sum_c_d,SV330: sum_sum_c_d] :
      ( ( ( SV330
          = ( SV634 @ SV845 ) )
        = $false )
      | ( ( ~ ( member_Sum_sum_c_c @ SV845 @ SV946 )
          | ( member_Sum_sum_c_d @ SV330 @ ( image_675141842um_c_d @ SV634 @ SV946 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3079]) ).

thf(3375,plain,
    ! [SV956: finite1398487019real_c,SV947: real,SV846: real > finite1398487019real_c,SV635: denota231621370t_unit,SV331: oDE_a_c] :
      ( ( ( ~ ( osafe_a_c @ SV331 ) )
        = $true )
      | ( ( ( denota1275485728_a_b_c @ SV635 @ SV331 @ ( SV846 @ SV947 ) )
          = ( denota1275485728_a_b_c @ SV635 @ SV331
            @ ( finite557796307c_real
              @ ^ [SY2664: c] : ( if_real @ ( member_c @ SY2664 @ ( static_FVO_a_c @ SV331 ) ) @ ( finite772340578real_c @ ( SV846 @ SV947 ) @ SY2664 ) @ ( finite772340578real_c @ SV956 @ SY2664 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3080]) ).

thf(3376,plain,
    ! [SV948: finite1398487019real_c,SV847: finite1398487019real_c,SV636: finite1398487019real_c,SV332: finite1398487019real_c] :
      ( ( ( ( produc394644079real_c @ SV332 @ SV636 )
          = ( produc394644079real_c @ SV847 @ SV948 ) )
        = $false )
      | ( ( ~ ( ( SV332 != SV847 )
              | ( SV636 != SV948 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3081]) ).

thf(3377,plain,
    ! [SV334: set_c,SV637: c > sum_sum_c_c,SV848: set_Sum_sum_c_c] :
      ( ( ( ~ ( member_c @ ( sK60_SY2592 @ SV848 @ SV637 @ SV334 ) @ SV334 )
          | ( member_Sum_sum_c_c @ ( SV637 @ ( sK60_SY2592 @ SV848 @ SV637 @ SV334 ) ) @ SV848 ) )
        = $false )
      | ( ( member_c_Sum_sum_c_c @ SV637
          @ ( pi_c_Sum_sum_c_c @ SV334
            @ ^ [SY2593: c] : SV848 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[3083]) ).

thf(3378,plain,
    ( ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $true )
    | ( ( ~ ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) ) )
      = $true )
    | ( ( ( finite772340578real_c
          @ ( produc314122909real_c
            @ ( denota161327353_a_b_c @ i @ oDEa
              @ ( produc394644079real_c
                @ ( finite557796307c_real
                  @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                @ bb )
              @ ( finite557796307c_real
                @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
          @ i2 )
        = ( finite772340578real_c @ bb @ i2 ) )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3084]) ).

thf(3379,plain,
    ( ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( denota1293057250_a_b_c @ i @ oDEa ) )
      = $true )
    | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( denota1293057250_a_b_c @ i @ oDEa ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3085]) ).

thf(3380,plain,
    ( ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( denota1293057250_a_b_c @ i @ oDEa ) )
      = $true )
    | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( denota1293057250_a_b_c @ i @ oDEa ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3086]) ).

thf(3381,plain,
    ( ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( denota1293057250_a_b_c @ i @ oDEa ) )
      = $true )
    | ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( denota1293057250_a_b_c @ i @ oDEa ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3087]) ).

thf(3382,plain,
    ( ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( denota1293057250_a_b_c @ i @ oDEa ) )
      = $true )
    | ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( denota1293057250_a_b_c @ i @ oDEa ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3088]) ).

thf(3383,plain,
    ! [SV850: finite1398487019real_c,SV337: finite1398487019real_c] :
      ( ( ( ( ord_le775706699real_c @ SV337 @ SV850 )
          | ! [SY2596: c] : ( ord_less_eq_real @ ( finite772340578real_c @ SV337 @ SY2596 ) @ ( finite772340578real_c @ SV850 @ SY2596 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le775706699real_c @ SV337 @ SV850 )
              | ~ ! [SY2596: c] : ( ord_less_eq_real @ ( finite772340578real_c @ SV337 @ SY2596 ) @ ( finite772340578real_c @ SV850 @ SY2596 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3089]) ).

thf(3384,plain,
    ! [SV338: finite1398487019real_c,SV7: finite1398487019real_c] :
      ( ( ( ! [SV963: c] :
              ( ( finite772340578real_c @ SV7 @ SV963 )
              = ( finite772340578real_c @ SV338 @ SV963 ) ) )
        = $false )
      | ( ( ~ ( ( ( finite772340578real_c @ SV7 )
               != ( finite772340578real_c @ SV338 ) )
              | ( SV7 != SV338 ) ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[3090]) ).

thf(3385,plain,
    ! [SV338: finite1398487019real_c,SV7: finite1398487019real_c] :
      ( ( ( ( finite772340578real_c @ SV7 )
          = ( finite772340578real_c @ SV338 ) )
        = $false )
      | ( ( ~ ( ( ( finite772340578real_c @ SV7 )
               != ( finite772340578real_c @ SV338 ) )
              | ( SV7 != SV338 ) ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[3090]) ).

thf(3386,plain,
    ! [SV338: finite1398487019real_c,SV7: finite1398487019real_c] :
      ( ( ( ( ( finite772340578real_c @ SV7 )
           != ( finite772340578real_c @ SV338 ) )
          | ( SV7 != SV338 ) )
        = $false )
      | ( ( SV7 = SV338 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3091]) ).

thf(3387,plain,
    ! [SV851: finite1398487019real_c,SV339: finite1398487019real_c] :
      ( ( ( ( SV339 = SV851 )
          | ! [SY2597: c] :
              ( ( finite772340578real_c @ SV339 @ SY2597 )
              = ( finite772340578real_c @ SV851 @ SY2597 ) ) )
        = $false )
      | ( ( ~ ( ( SV339 != SV851 )
              | ~ ! [SY2597: c] :
                    ( ( finite772340578real_c @ SV339 @ SY2597 )
                    = ( finite772340578real_c @ SV851 @ SY2597 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3092]) ).

thf(3388,plain,
    ! [SV340: sum_sum_c_c > $o,SV9: sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ SV9 @ ( collect_Sum_sum_c_c @ SV340 ) )
          | ~ ( SV340 @ SV9 ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ SV9 @ ( collect_Sum_sum_c_c @ SV340 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3093]) ).

thf(3389,plain,
    ! [SV340: sum_sum_c_c > $o,SV9: sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ SV9 @ ( collect_Sum_sum_c_c @ SV340 ) )
          | ~ ( SV340 @ SV9 ) )
        = $false )
      | ( ( SV340 @ SV9 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3094]) ).

thf(3390,plain,
    ! [SV341: sum_sum_c_d > $o,SV10: sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_d @ SV10 @ ( collect_Sum_sum_c_d @ SV341 ) )
          | ~ ( SV341 @ SV10 ) )
        = $false )
      | ( ( member_Sum_sum_c_d @ SV10 @ ( collect_Sum_sum_c_d @ SV341 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3095]) ).

thf(3391,plain,
    ! [SV341: sum_sum_c_d > $o,SV10: sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_d @ SV10 @ ( collect_Sum_sum_c_d @ SV341 ) )
          | ~ ( SV341 @ SV10 ) )
        = $false )
      | ( ( SV341 @ SV10 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3096]) ).

thf(3392,plain,
    ! [SV342: produc190496183real_c > $o,SV11: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV11 @ ( collec1643251106real_c @ SV342 ) )
          | ~ ( SV342 @ SV11 ) )
        = $false )
      | ( ( member1895684704real_c @ SV11 @ ( collec1643251106real_c @ SV342 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3097]) ).

thf(3393,plain,
    ! [SV342: produc190496183real_c > $o,SV11: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV11 @ ( collec1643251106real_c @ SV342 ) )
          | ~ ( SV342 @ SV11 ) )
        = $false )
      | ( ( SV342 @ SV11 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3098]) ).

thf(3394,plain,
    ! [SV343: ( real > finite1398487019real_c ) > $o,SV12: real > finite1398487019real_c] :
      ( ( ( ~ ( member1321351885real_c @ SV12 @ ( collec913357835real_c @ SV343 ) )
          | ~ ( SV343 @ SV12 ) )
        = $false )
      | ( ( member1321351885real_c @ SV12 @ ( collec913357835real_c @ SV343 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3099]) ).

thf(3395,plain,
    ! [SV343: ( real > finite1398487019real_c ) > $o,SV12: real > finite1398487019real_c] :
      ( ( ( ~ ( member1321351885real_c @ SV12 @ ( collec913357835real_c @ SV343 ) )
          | ~ ( SV343 @ SV12 ) )
        = $false )
      | ( ( SV343 @ SV12 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3100]) ).

thf(3396,plain,
    ! [SV344: finite1398487019real_c > $o,SV13: finite1398487019real_c] :
      ( ( ( ~ ( member1261661570real_c @ SV13 @ ( collec230941376real_c @ SV344 ) )
          | ~ ( SV344 @ SV13 ) )
        = $false )
      | ( ( member1261661570real_c @ SV13 @ ( collec230941376real_c @ SV344 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3101]) ).

thf(3397,plain,
    ! [SV344: finite1398487019real_c > $o,SV13: finite1398487019real_c] :
      ( ( ( ~ ( member1261661570real_c @ SV13 @ ( collec230941376real_c @ SV344 ) )
          | ~ ( SV344 @ SV13 ) )
        = $false )
      | ( ( SV344 @ SV13 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3102]) ).

thf(3398,plain,
    ! [SV345: c > $o,SV14: c] :
      ( ( ( ~ ( member_c @ SV14 @ ( collect_c @ SV345 ) )
          | ~ ( SV345 @ SV14 ) )
        = $false )
      | ( ( member_c @ SV14 @ ( collect_c @ SV345 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3103]) ).

thf(3399,plain,
    ! [SV345: c > $o,SV14: c] :
      ( ( ( ~ ( member_c @ SV14 @ ( collect_c @ SV345 ) )
          | ~ ( SV345 @ SV14 ) )
        = $false )
      | ( ( SV345 @ SV14 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3104]) ).

thf(3400,plain,
    ! [SV348: c > real,SV24: finite1398487019real_c] :
      ( ( ( ( finite772340578real_c @ SV24 @ ( sK61_SY1885 @ SV348 @ SV24 ) )
          = ( SV348 @ ( sK61_SY1885 @ SV348 @ SV24 ) ) )
        = $false )
      | ( ( ~ ( ~ ! [SY1885: c] :
                    ( ( finite772340578real_c @ SV24 @ SY1885 )
                    = ( SV348 @ SY1885 ) )
              | ( ( finite557796307c_real @ SV348 )
               != SV24 ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[3105]) ).

thf(3401,plain,
    ! [SV348: c > real,SV24: finite1398487019real_c] :
      ( ( ( ~ ! [SY1885: c] :
                ( ( finite772340578real_c @ SV24 @ SY1885 )
                = ( SV348 @ SY1885 ) )
          | ( ( finite557796307c_real @ SV348 )
           != SV24 ) )
        = $false )
      | ( ( ( finite557796307c_real @ SV348 )
          = SV24 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3106]) ).

thf(3402,plain,
    ! [SV957: produc190496183real_c,SV852: oDE_a_c,SV349: denota231621370t_unit] :
      ( ( ! [SV964: finite1398487019real_c] :
            ( ( denota161327353_a_b_c @ SV349 @ SV852 @ SV957 @ SV964 )
            = ( produc394644079real_c
              @ ( finite557796307c_real
                @ ^ [SY2675: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2675 ) @ ( denota1293057250_a_b_c @ SV349 @ SV852 ) ) @ SV964 @ ( produc2010422875real_c @ SV957 ) ) @ SY2675 ) )
              @ ( finite557796307c_real
                @ ^ [SY2676: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2676 ) @ ( denota1293057250_a_b_c @ SV349 @ SV852 ) ) @ ( denota1275485728_a_b_c @ SV349 @ SV852 @ SV964 ) @ ( produc314122909real_c @ SV957 ) ) @ SY2676 ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[3107]) ).

thf(3403,plain,
    ! [SV957: produc190496183real_c,SV852: oDE_a_c,SV349: denota231621370t_unit] :
      ( ( ( denota161327353_a_b_c @ SV349 @ SV852 @ SV957 )
        = ( ^ [SY2665: finite1398487019real_c] :
              ( produc394644079real_c
              @ ( finite557796307c_real
                @ ^ [SY2666: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2666 ) @ ( denota1293057250_a_b_c @ SV349 @ SV852 ) ) @ SY2665 @ ( produc2010422875real_c @ SV957 ) ) @ SY2666 ) )
              @ ( finite557796307c_real
                @ ^ [SY2667: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2667 ) @ ( denota1293057250_a_b_c @ SV349 @ SV852 ) ) @ ( denota1275485728_a_b_c @ SV349 @ SV852 @ SY2665 ) @ ( produc314122909real_c @ SV957 ) ) @ SY2667 ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[3107]) ).

thf(3404,plain,
    ! [SV958: produc190496183real_c,SV853: oDE_a_c,SV350: denota231621370t_unit] :
      ( ( ! [SV965: finite1398487019real_c] :
            ( ( denota310462944_a_b_c @ SV350 @ SV853 @ SV958 @ SV965 )
            = ( produc394644079real_c
              @ ( finite557796307c_real
                @ ^ [SY2677: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2677 ) @ ( denota1293057250_a_b_c @ SV350 @ SV853 ) ) @ SV965 @ ( produc2010422875real_c @ SV958 ) ) @ SY2677 ) )
              @ ( finite557796307c_real
                @ ^ [SY2678: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2678 ) @ ( denota1293057250_a_b_c @ SV350 @ SV853 ) ) @ ( denota1275485728_a_b_c @ SV350 @ SV853 @ SV965 ) @ ( produc314122909real_c @ SV958 ) ) @ SY2678 ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[3108]) ).

thf(3405,plain,
    ! [SV958: produc190496183real_c,SV853: oDE_a_c,SV350: denota231621370t_unit] :
      ( ( ( denota310462944_a_b_c @ SV350 @ SV853 @ SV958 )
        = ( ^ [SY2668: finite1398487019real_c] :
              ( produc394644079real_c
              @ ( finite557796307c_real
                @ ^ [SY2669: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2669 ) @ ( denota1293057250_a_b_c @ SV350 @ SV853 ) ) @ SY2668 @ ( produc2010422875real_c @ SV958 ) ) @ SY2669 ) )
              @ ( finite557796307c_real
                @ ^ [SY2670: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2670 ) @ ( denota1293057250_a_b_c @ SV350 @ SV853 ) ) @ ( denota1275485728_a_b_c @ SV350 @ SV853 @ SY2668 ) @ ( produc314122909real_c @ SV958 ) ) @ SY2670 ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[3108]) ).

thf(3406,plain,
    ! [SV29: real] :
      ( ( ( zero_zero_real
         != ( uminus_uminus_real @ SV29 ) )
        = $false )
      | ( ( zero_zero_real
          = ( uminus_uminus_real @ SV29 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3109]) ).

thf(3407,plain,
    ! [SV29: real] :
      ( ( ( zero_zero_real != SV29 )
        = $false )
      | ( ( zero_zero_real
          = ( uminus_uminus_real @ SV29 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3109]) ).

thf(3408,plain,
    ! [SV29: real] :
      ( ( ( zero_zero_real
         != ( uminus_uminus_real @ SV29 ) )
        = $false )
      | ( ( zero_zero_real = SV29 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3110]) ).

thf(3409,plain,
    ! [SV29: real] :
      ( ( ( zero_zero_real != SV29 )
        = $false )
      | ( ( zero_zero_real = SV29 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3110]) ).

thf(3410,plain,
    ! [SV30: real] :
      ( ( ( ( uminus_uminus_real @ SV30 )
         != zero_zero_real )
        = $false )
      | ( ( ( uminus_uminus_real @ SV30 )
          = zero_zero_real )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3111]) ).

thf(3411,plain,
    ! [SV30: real] :
      ( ( ( SV30 != zero_zero_real )
        = $false )
      | ( ( ( uminus_uminus_real @ SV30 )
          = zero_zero_real )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3111]) ).

thf(3412,plain,
    ! [SV30: real] :
      ( ( ( ( uminus_uminus_real @ SV30 )
         != zero_zero_real )
        = $false )
      | ( ( SV30 = zero_zero_real )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3112]) ).

thf(3413,plain,
    ! [SV30: real] :
      ( ( ( SV30 != zero_zero_real )
        = $false )
      | ( ( SV30 = zero_zero_real )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3112]) ).

thf(3414,plain,
    ! [SV31: real] :
      ( ( ( SV31
         != ( uminus_uminus_real @ SV31 ) )
        = $false )
      | ( ( SV31
          = ( uminus_uminus_real @ SV31 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3113]) ).

thf(3415,plain,
    ! [SV31: real] :
      ( ( ( SV31 != zero_zero_real )
        = $false )
      | ( ( SV31
          = ( uminus_uminus_real @ SV31 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3113]) ).

thf(3416,plain,
    ! [SV31: real] :
      ( ( ( SV31
         != ( uminus_uminus_real @ SV31 ) )
        = $false )
      | ( ( SV31 = zero_zero_real )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3114]) ).

thf(3417,plain,
    ! [SV31: real] :
      ( ( ( SV31 != zero_zero_real )
        = $false )
      | ( ( SV31 = zero_zero_real )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3114]) ).

thf(3418,plain,
    ! [SV32: real] :
      ( ( ( ( uminus_uminus_real @ SV32 )
         != SV32 )
        = $false )
      | ( ( ( uminus_uminus_real @ SV32 )
          = SV32 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3115]) ).

thf(3419,plain,
    ! [SV32: real] :
      ( ( ( SV32 != zero_zero_real )
        = $false )
      | ( ( ( uminus_uminus_real @ SV32 )
          = SV32 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3115]) ).

thf(3420,plain,
    ! [SV32: real] :
      ( ( ( ( uminus_uminus_real @ SV32 )
         != SV32 )
        = $false )
      | ( ( SV32 = zero_zero_real )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3116]) ).

thf(3421,plain,
    ! [SV32: real] :
      ( ( ( SV32 != zero_zero_real )
        = $false )
      | ( ( SV32 = zero_zero_real )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3116]) ).

thf(3422,plain,
    ! [SV351: real,SV33: real] :
      ( ( ( ~ ( ord_less_eq_real @ ( uminus_uminus_real @ SV33 ) @ ( uminus_uminus_real @ SV351 ) )
          | ~ ( ord_less_eq_real @ SV351 @ SV33 ) )
        = $false )
      | ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV33 ) @ ( uminus_uminus_real @ SV351 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3117]) ).

thf(3423,plain,
    ! [SV351: real,SV33: real] :
      ( ( ( ~ ( ord_less_eq_real @ ( uminus_uminus_real @ SV33 ) @ ( uminus_uminus_real @ SV351 ) )
          | ~ ( ord_less_eq_real @ SV351 @ SV33 ) )
        = $false )
      | ( ( ord_less_eq_real @ SV351 @ SV33 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3118]) ).

thf(3424,plain,
    ! [SV39: real] :
      ( ( ( ~ ( ord_less_eq_real @ ( uminus_uminus_real @ SV39 ) @ SV39 ) )
        = $false )
      | ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV39 ) @ SV39 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3119]) ).

thf(3425,plain,
    ! [SV39: real] :
      ( ( ( ~ ( ord_less_eq_real @ zero_zero_real @ SV39 ) )
        = $false )
      | ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV39 ) @ SV39 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3119]) ).

thf(3426,plain,
    ! [SV39: real] :
      ( ( ( ~ ( ord_less_eq_real @ ( uminus_uminus_real @ SV39 ) @ SV39 ) )
        = $false )
      | ( ( ord_less_eq_real @ zero_zero_real @ SV39 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3120]) ).

thf(3427,plain,
    ! [SV39: real] :
      ( ( ( ~ ( ord_less_eq_real @ zero_zero_real @ SV39 ) )
        = $false )
      | ( ( ord_less_eq_real @ zero_zero_real @ SV39 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3120]) ).

thf(3428,plain,
    ! [SV40: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV40 @ ( uminus_uminus_real @ SV40 ) ) )
        = $false )
      | ( ( ord_less_eq_real @ SV40 @ ( uminus_uminus_real @ SV40 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3121]) ).

thf(3429,plain,
    ! [SV40: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV40 @ zero_zero_real ) )
        = $false )
      | ( ( ord_less_eq_real @ SV40 @ ( uminus_uminus_real @ SV40 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3121]) ).

thf(3430,plain,
    ! [SV40: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV40 @ ( uminus_uminus_real @ SV40 ) ) )
        = $false )
      | ( ( ord_less_eq_real @ SV40 @ zero_zero_real )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3122]) ).

thf(3431,plain,
    ! [SV40: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV40 @ zero_zero_real ) )
        = $false )
      | ( ( ord_less_eq_real @ SV40 @ zero_zero_real )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3122]) ).

thf(3432,plain,
    ! [SV41: real] :
      ( ( ( ~ ( ord_less_eq_real @ ( uminus_uminus_real @ SV41 ) @ zero_zero_real ) )
        = $false )
      | ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV41 ) @ zero_zero_real )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3123]) ).

thf(3433,plain,
    ! [SV41: real] :
      ( ( ( ~ ( ord_less_eq_real @ zero_zero_real @ SV41 ) )
        = $false )
      | ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV41 ) @ zero_zero_real )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3123]) ).

thf(3434,plain,
    ! [SV41: real] :
      ( ( ( ~ ( ord_less_eq_real @ ( uminus_uminus_real @ SV41 ) @ zero_zero_real ) )
        = $false )
      | ( ( ord_less_eq_real @ zero_zero_real @ SV41 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3124]) ).

thf(3435,plain,
    ! [SV41: real] :
      ( ( ( ~ ( ord_less_eq_real @ zero_zero_real @ SV41 ) )
        = $false )
      | ( ( ord_less_eq_real @ zero_zero_real @ SV41 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3124]) ).

thf(3436,plain,
    ! [SV42: real] :
      ( ( ( ~ ( ord_less_eq_real @ zero_zero_real @ ( uminus_uminus_real @ SV42 ) ) )
        = $false )
      | ( ( ord_less_eq_real @ zero_zero_real @ ( uminus_uminus_real @ SV42 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3125]) ).

thf(3437,plain,
    ! [SV42: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV42 @ zero_zero_real ) )
        = $false )
      | ( ( ord_less_eq_real @ zero_zero_real @ ( uminus_uminus_real @ SV42 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3125]) ).

thf(3438,plain,
    ! [SV42: real] :
      ( ( ( ~ ( ord_less_eq_real @ zero_zero_real @ ( uminus_uminus_real @ SV42 ) ) )
        = $false )
      | ( ( ord_less_eq_real @ SV42 @ zero_zero_real )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3126]) ).

thf(3439,plain,
    ! [SV42: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV42 @ zero_zero_real ) )
        = $false )
      | ( ( ord_less_eq_real @ SV42 @ zero_zero_real )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3126]) ).

thf(3440,plain,
    ! [SV355: real,SV43: real] :
      ( ( ( ~ ( ord_less_eq_real @ ( uminus_uminus_real @ SV43 ) @ SV355 )
          | ~ ( ord_less_eq_real @ ( uminus_uminus_real @ SV355 ) @ SV43 ) )
        = $false )
      | ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV43 ) @ SV355 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3127]) ).

thf(3441,plain,
    ! [SV355: real,SV43: real] :
      ( ( ( ~ ( ord_less_eq_real @ ( uminus_uminus_real @ SV43 ) @ SV355 )
          | ~ ( ord_less_eq_real @ ( uminus_uminus_real @ SV355 ) @ SV43 ) )
        = $false )
      | ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV355 ) @ SV43 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3128]) ).

thf(3442,plain,
    ! [SV356: real,SV44: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV44 @ ( uminus_uminus_real @ SV356 ) )
          | ~ ( ord_less_eq_real @ SV356 @ ( uminus_uminus_real @ SV44 ) ) )
        = $false )
      | ( ( ord_less_eq_real @ SV44 @ ( uminus_uminus_real @ SV356 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3129]) ).

thf(3443,plain,
    ! [SV356: real,SV44: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV44 @ ( uminus_uminus_real @ SV356 ) )
          | ~ ( ord_less_eq_real @ SV356 @ ( uminus_uminus_real @ SV44 ) ) )
        = $false )
      | ( ( ord_less_eq_real @ SV356 @ ( uminus_uminus_real @ SV44 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3130]) ).

thf(3444,plain,
    ! [SV49: real] :
      ( ( ( zero_zero_real != SV49 )
        = $false )
      | ( ( zero_zero_real = SV49 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3132]) ).

thf(3445,plain,
    ! [SV49: real] :
      ( ( ( SV49 != zero_zero_real )
        = $false )
      | ( ( zero_zero_real = SV49 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3132]) ).

thf(3446,plain,
    ! [SV49: real] :
      ( ( ( zero_zero_real != SV49 )
        = $false )
      | ( ( SV49 = zero_zero_real )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3133]) ).

thf(3447,plain,
    ! [SV49: real] :
      ( ( ( SV49 != zero_zero_real )
        = $false )
      | ( ( SV49 = zero_zero_real )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3133]) ).

thf(3448,plain,
    ! [SV644: oDE_a_c,SV362: denota231621370t_unit,SV51: c] :
      ( ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SV51 ) @ ( denota1293057250_a_b_c @ SV362 @ SV644 ) )
        = $false )
      | ( ( ~ ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SV51 ) @ ( denota1293057250_a_b_c @ SV362 @ SV644 ) )
              | ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SV51 ) @ ( denota1293057250_a_b_c @ SV362 @ SV644 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3134]) ).

thf(3449,plain,
    ! [SV644: oDE_a_c,SV362: denota231621370t_unit,SV51: c] :
      ( ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SV51 ) @ ( denota1293057250_a_b_c @ SV362 @ SV644 ) )
        = $false )
      | ( ( ~ ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SV51 ) @ ( denota1293057250_a_b_c @ SV362 @ SV644 ) )
              | ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SV51 ) @ ( denota1293057250_a_b_c @ SV362 @ SV644 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3134]) ).

thf(3450,plain,
    ! [SV363: set_Sum_sum_c_c,SV52: set_Sum_sum_c_c] :
      ( ( ( ~ ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SV52 ) @ ( uminus1381786404um_c_c @ SV363 ) )
          | ~ ( ord_le1772180283um_c_c @ SV363 @ SV52 ) )
        = $false )
      | ( ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SV52 ) @ ( uminus1381786404um_c_c @ SV363 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3135]) ).

thf(3451,plain,
    ! [SV363: set_Sum_sum_c_c,SV52: set_Sum_sum_c_c] :
      ( ( ( ~ ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SV52 ) @ ( uminus1381786404um_c_c @ SV363 ) )
          | ~ ( ord_le1772180283um_c_c @ SV363 @ SV52 ) )
        = $false )
      | ( ( ord_le1772180283um_c_c @ SV363 @ SV52 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3136]) ).

thf(3452,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ ( equiv_a_b_c @ SV645 @ SV855 ) ) )
          | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
            = ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ ( equiv_a_b_c @ SV645 @ SV855 ) ) )
              | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
               != ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3137]) ).

thf(3453,plain,
    ! [SV365: set_Sum_sum_c_c,SV55: set_Sum_sum_c_c] :
      ( ( ( ( ( uminus1381786404um_c_c @ SV55 )
           != ( uminus1381786404um_c_c @ SV365 ) )
          | ( SV55 != SV365 ) )
        = $false )
      | ( ( ( uminus1381786404um_c_c @ SV55 )
          = ( uminus1381786404um_c_c @ SV365 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3138]) ).

thf(3454,plain,
    ! [SV365: set_Sum_sum_c_c,SV55: set_Sum_sum_c_c] :
      ( ( ( ( ( uminus1381786404um_c_c @ SV55 )
           != ( uminus1381786404um_c_c @ SV365 ) )
          | ( SV55 != SV365 ) )
        = $false )
      | ( ( SV55 = SV365 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3139]) ).

thf(3455,plain,
    ! [SV368: set_Sum_sum_c_c,SV58: set_Sum_sum_c_c] :
      ( ( ( ~ ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SV58 ) @ ( uminus1381786404um_c_c @ SV368 ) )
          | ~ ( ord_le1772180283um_c_c @ SV368 @ SV58 ) )
        = $false )
      | ( ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SV58 ) @ ( uminus1381786404um_c_c @ SV368 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3140]) ).

thf(3456,plain,
    ! [SV368: set_Sum_sum_c_c,SV58: set_Sum_sum_c_c] :
      ( ( ( ~ ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SV58 ) @ ( uminus1381786404um_c_c @ SV368 ) )
          | ~ ( ord_le1772180283um_c_c @ SV368 @ SV58 ) )
        = $false )
      | ( ( ord_le1772180283um_c_c @ SV368 @ SV58 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3141]) ).

thf(3457,plain,
    ! [SV369: set_Sum_sum_c_c,SV59: set_Sum_sum_c_c] :
      ( ( ( ( ( uminus1381786404um_c_c @ SV59 )
           != ( uminus1381786404um_c_c @ SV369 ) )
          | ( SV59 != SV369 ) )
        = $false )
      | ( ( ( uminus1381786404um_c_c @ SV59 )
          = ( uminus1381786404um_c_c @ SV369 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3142]) ).

thf(3458,plain,
    ! [SV369: set_Sum_sum_c_c,SV59: set_Sum_sum_c_c] :
      ( ( ( ( ( uminus1381786404um_c_c @ SV59 )
           != ( uminus1381786404um_c_c @ SV369 ) )
          | ( SV59 != SV369 ) )
        = $false )
      | ( ( SV59 = SV369 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3143]) ).

thf(3459,plain,
    ! [SV370: set_c,SV60: c] :
      ( ( ( ~ ( member_c @ SV60 @ ( uminus_uminus_set_c @ SV370 ) )
          | ~ ~ ( member_c @ SV60 @ SV370 ) )
        = $false )
      | ( ( member_c @ SV60 @ ( uminus_uminus_set_c @ SV370 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3144]) ).

thf(3460,plain,
    ! [SV370: set_c,SV60: c] :
      ( ( ( member_c @ SV60 @ SV370 )
        = $true )
      | ( ( ~ ( ~ ( member_c @ SV60 @ ( uminus_uminus_set_c @ SV370 ) )
              | ~ ~ ( member_c @ SV60 @ SV370 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3145]) ).

thf(3461,plain,
    ! [SV371: set_Sum_sum_c_d,SV61: sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_d @ SV61 @ ( uminus373867045um_c_d @ SV371 ) )
          | ~ ~ ( member_Sum_sum_c_d @ SV61 @ SV371 ) )
        = $false )
      | ( ( member_Sum_sum_c_d @ SV61 @ ( uminus373867045um_c_d @ SV371 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3146]) ).

thf(3462,plain,
    ! [SV371: set_Sum_sum_c_d,SV61: sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ SV61 @ SV371 )
        = $true )
      | ( ( ~ ( ~ ( member_Sum_sum_c_d @ SV61 @ ( uminus373867045um_c_d @ SV371 ) )
              | ~ ~ ( member_Sum_sum_c_d @ SV61 @ SV371 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3147]) ).

thf(3463,plain,
    ! [SV372: set_Pr1389752855real_c,SV62: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV62 @ ( uminus232257166real_c @ SV372 ) )
          | ~ ~ ( member1895684704real_c @ SV62 @ SV372 ) )
        = $false )
      | ( ( member1895684704real_c @ SV62 @ ( uminus232257166real_c @ SV372 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3148]) ).

thf(3464,plain,
    ! [SV372: set_Pr1389752855real_c,SV62: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV62 @ SV372 )
        = $true )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV62 @ ( uminus232257166real_c @ SV372 ) )
              | ~ ~ ( member1895684704real_c @ SV62 @ SV372 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3149]) ).

thf(3465,plain,
    ! [SV373: set_re2066790124real_c,SV63: real > finite1398487019real_c] :
      ( ( ( ~ ( member1321351885real_c @ SV63 @ ( uminus946614837real_c @ SV373 ) )
          | ~ ~ ( member1321351885real_c @ SV63 @ SV373 ) )
        = $false )
      | ( ( member1321351885real_c @ SV63 @ ( uminus946614837real_c @ SV373 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3150]) ).

thf(3466,plain,
    ! [SV373: set_re2066790124real_c,SV63: real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ SV63 @ SV373 )
        = $true )
      | ( ( ~ ( ~ ( member1321351885real_c @ SV63 @ ( uminus946614837real_c @ SV373 ) )
              | ~ ~ ( member1321351885real_c @ SV63 @ SV373 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3151]) ).

thf(3467,plain,
    ! [SV374: set_Sum_sum_c_c,SV64: sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ SV64 @ ( uminus1381786404um_c_c @ SV374 ) )
          | ~ ~ ( member_Sum_sum_c_c @ SV64 @ SV374 ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ SV64 @ ( uminus1381786404um_c_c @ SV374 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3152]) ).

thf(3468,plain,
    ! [SV374: set_Sum_sum_c_c,SV64: sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ SV64 @ SV374 )
        = $true )
      | ( ( ~ ( ~ ( member_Sum_sum_c_c @ SV64 @ ( uminus1381786404um_c_c @ SV374 ) )
              | ~ ~ ( member_Sum_sum_c_c @ SV64 @ SV374 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3153]) ).

thf(3469,plain,
    ! [SV856: set_Sum_sum_c_c,SV381: set_Sum_sum_c_c] :
      ( ( ( ( ord_le1772180283um_c_c @ SV381 @ SV856 )
          | ( ord_le1315653386_c_c_o
            @ ^ [SY1915: sum_sum_c_c] : ( member_Sum_sum_c_c @ SY1915 @ SV381 )
            @ ^ [SY2608: sum_sum_c_c] : ( member_Sum_sum_c_c @ SY2608 @ SV856 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV381 @ SV856 )
              | ~ ( ord_le1315653386_c_c_o
                  @ ^ [SY1915: sum_sum_c_c] : ( member_Sum_sum_c_c @ SY1915 @ SV381 )
                  @ ^ [SY2608: sum_sum_c_c] : ( member_Sum_sum_c_c @ SY2608 @ SV856 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3154]) ).

thf(3470,plain,
    ! [SV857: set_c,SV382: set_c] :
      ( ( ( ( ord_less_eq_set_c @ SV382 @ SV857 )
          | ( ord_less_eq_c_o
            @ ^ [SY1918: c] : ( member_c @ SY1918 @ SV382 )
            @ ^ [SY2610: c] : ( member_c @ SY2610 @ SV857 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ord_less_eq_set_c @ SV382 @ SV857 )
              | ~ ( ord_less_eq_c_o
                  @ ^ [SY1918: c] : ( member_c @ SY1918 @ SV382 )
                  @ ^ [SY2610: c] : ( member_c @ SY2610 @ SV857 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3155]) ).

thf(3471,plain,
    ! [SV858: set_Sum_sum_c_d,SV383: set_Sum_sum_c_d] :
      ( ( ( ( ord_le764260924um_c_d @ SV383 @ SV858 )
          | ( ord_le2143422793_c_d_o
            @ ^ [SY1921: sum_sum_c_d] : ( member_Sum_sum_c_d @ SY1921 @ SV383 )
            @ ^ [SY2612: sum_sum_c_d] : ( member_Sum_sum_c_d @ SY2612 @ SV858 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le764260924um_c_d @ SV383 @ SV858 )
              | ~ ( ord_le2143422793_c_d_o
                  @ ^ [SY1921: sum_sum_c_d] : ( member_Sum_sum_c_d @ SY1921 @ SV383 )
                  @ ^ [SY2612: sum_sum_c_d] : ( member_Sum_sum_c_d @ SY2612 @ SV858 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3156]) ).

thf(3472,plain,
    ! [SV859: set_Pr1389752855real_c,SV384: set_Pr1389752855real_c] :
      ( ( ( ( ord_le977353143real_c @ SV384 @ SV859 )
          | ( ord_le1132241894al_c_o
            @ ^ [SY1924: produc190496183real_c] : ( member1895684704real_c @ SY1924 @ SV384 )
            @ ^ [SY2614: produc190496183real_c] : ( member1895684704real_c @ SY2614 @ SV859 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le977353143real_c @ SV384 @ SV859 )
              | ~ ( ord_le1132241894al_c_o
                  @ ^ [SY1924: produc190496183real_c] : ( member1895684704real_c @ SY1924 @ SV384 )
                  @ ^ [SY2614: produc190496183real_c] : ( member1895684704real_c @ SY2614 @ SV859 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3157]) ).

thf(3473,plain,
    ! [SV860: set_re2066790124real_c,SV385: set_re2066790124real_c] :
      ( ( ( ( ord_le35002188real_c @ SV385 @ SV860 )
          | ( ord_le818951225al_c_o
            @ ^ [SY1927: real > finite1398487019real_c] : ( member1321351885real_c @ SY1927 @ SV385 )
            @ ^ [SY2616: real > finite1398487019real_c] : ( member1321351885real_c @ SY2616 @ SV860 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le35002188real_c @ SV385 @ SV860 )
              | ~ ( ord_le818951225al_c_o
                  @ ^ [SY1927: real > finite1398487019real_c] : ( member1321351885real_c @ SY1927 @ SV385 )
                  @ ^ [SY2616: real > finite1398487019real_c] : ( member1321351885real_c @ SY2616 @ SV860 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3158]) ).

thf(3474,plain,
    ! [SV658: set_Sum_sum_c_c,SV399: set_c,SV93: c > sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV93 @ SV399 ) @ SV658 )
        = $false )
      | ( ( ~ ( ~ ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV93 @ SV399 ) @ SV658 )
              | ~ ( member_c_Sum_sum_c_c @ SV93
                  @ ( pi_c_Sum_sum_c_c @ SV399
                    @ ^ [SY2391: c] : SV658 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3160]) ).

thf(3475,plain,
    ! [SV658: set_Sum_sum_c_c,SV399: set_c,SV93: c > sum_sum_c_c] :
      ( ( ( member_c_Sum_sum_c_c @ SV93
          @ ( pi_c_Sum_sum_c_c @ SV399
            @ ^ [SY2391: c] : SV658 ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV93 @ SV399 ) @ SV658 )
              | ~ ( member_c_Sum_sum_c_c @ SV93
                  @ ( pi_c_Sum_sum_c_c @ SV399
                    @ ^ [SY2391: c] : SV658 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3160]) ).

thf(3476,plain,
    ! [SV659: set_Sum_sum_c_d,SV400: set_c,SV94: c > sum_sum_c_d] :
      ( ( ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV94 @ SV400 ) @ SV659 )
        = $false )
      | ( ( ~ ( ~ ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV94 @ SV400 ) @ SV659 )
              | ~ ( member_c_Sum_sum_c_d @ SV94
                  @ ( pi_c_Sum_sum_c_d @ SV400
                    @ ^ [SY2392: c] : SV659 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3161]) ).

thf(3477,plain,
    ! [SV659: set_Sum_sum_c_d,SV400: set_c,SV94: c > sum_sum_c_d] :
      ( ( ( member_c_Sum_sum_c_d @ SV94
          @ ( pi_c_Sum_sum_c_d @ SV400
            @ ^ [SY2392: c] : SV659 ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV94 @ SV400 ) @ SV659 )
              | ~ ( member_c_Sum_sum_c_d @ SV94
                  @ ( pi_c_Sum_sum_c_d @ SV400
                    @ ^ [SY2392: c] : SV659 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3161]) ).

thf(3478,plain,
    ! [SV660: set_Fi1407883041real_c,SV401: set_real,SV95: real > finite1398487019real_c] :
      ( ( ( ord_le1327118209real_c @ ( image_327677598real_c @ SV95 @ SV401 ) @ SV660 )
        = $false )
      | ( ( ~ ( ~ ( ord_le1327118209real_c @ ( image_327677598real_c @ SV95 @ SV401 ) @ SV660 )
              | ~ ( member1321351885real_c @ SV95
                  @ ( pi_rea1111636068real_c @ SV401
                    @ ^ [SY2393: real] : SV660 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3162]) ).

thf(3479,plain,
    ! [SV660: set_Fi1407883041real_c,SV401: set_real,SV95: real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ SV95
          @ ( pi_rea1111636068real_c @ SV401
            @ ^ [SY2393: real] : SV660 ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le1327118209real_c @ ( image_327677598real_c @ SV95 @ SV401 ) @ SV660 )
              | ~ ( member1321351885real_c @ SV95
                  @ ( pi_rea1111636068real_c @ SV401
                    @ ^ [SY2393: real] : SV660 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3162]) ).

thf(3480,plain,
    ! [SV98: $o] :
      ( ( ( ~ SV98
          | ~ $true )
        = $false )
      | ( SV98 = $false )
      | ( ( SV98 = $false )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3163]) ).

thf(3481,plain,
    ! [SV98: $o] :
      ( ( ( ~ SV98
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV98 = $false )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3164]) ).

thf(3482,plain,
    ! [SV98: $o] :
      ( ( SV98 = $false )
      | ( ( ~ ( ~ SV98
              | ~ $false ) )
        = $true )
      | ( ( SV98 = $true )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3165]) ).

thf(3483,plain,
    ! [SV98: $o] :
      ( ( $false = $false )
      | ( ( ~ ( ~ SV98
              | ~ $false ) )
        = $true )
      | ( ( SV98 = $true )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3165]) ).

thf(3484,plain,
    ( ( ( ~ $true
        | ~ $true )
      = $false )
    | ( $true = $false )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3166]) ).

thf(3485,plain,
    ( ( ( ~ $true
        | ~ $true )
      = $false )
    | ( $true = $false )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3167]) ).

thf(3486,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3168]) ).

thf(3487,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3168]) ).

thf(3488,plain,
    ( ( ( ~ $false
        | ~ $true )
      = $false )
    | ( $false = $false )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3169]) ).

thf(3489,plain,
    ( ( ( ~ $false
        | ~ $true )
      = $false )
    | ( $true = $false )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3170]) ).

thf(3490,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3171]) ).

thf(3491,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3171]) ).

thf(3492,plain,
    ! [SV406: set_Sum_sum_c_d,SV101: set_Sum_sum_c_d,SV661: sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ SV661 @ SV101 )
        = $false )
      | ( ( member_Sum_sum_c_d @ SV661 @ SV406 )
        = $true )
      | ( ( ord_le764260924um_c_d @ SV101 @ SV406 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3172]) ).

thf(3493,plain,
    ! [SV102: set_Sum_sum_c_d,SV407: set_Sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ ( sK4_SY1951 @ SV407 @ SV102 ) @ SV102 )
        = $true )
      | ( ( ord_le764260924um_c_d @ SV102 @ SV407 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3173]) ).

thf(3494,plain,
    ! [SV662: set_Fi1407883041real_c,SV103: real > finite1398487019real_c,SV408: set_real,SV862: real] :
      ( ( ( ~ ( member_real @ SV862 @ SV408 ) )
        = $true )
      | ( ( member1261661570real_c @ ( SV103 @ SV862 ) @ SV662 )
        = $true )
      | ( ( member1321351885real_c @ SV103
          @ ( pi_rea1111636068real_c @ SV408
            @ ^ [SY2395: real] : SV662 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3175]) ).

thf(3495,plain,
    ! [SV663: sum_sum_c_c > set_c,SV104: sum_sum_c_c > c,SV409: set_Sum_sum_c_c,SV863: sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ SV863 @ SV409 ) )
        = $true )
      | ( ( member_c @ ( SV104 @ SV863 ) @ ( SV663 @ SV863 ) )
        = $true )
      | ( ( member_Sum_sum_c_c_c @ SV104 @ ( pi_Sum_sum_c_c_c @ SV409 @ SV663 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3176]) ).

thf(3496,plain,
    ! [SV410: set_c,SV105: set_c,SV664: c] :
      ( ( ( member_c @ SV664 @ SV105 )
        = $false )
      | ( ( member_c @ SV664 @ SV410 )
        = $true )
      | ( ( ord_less_eq_set_c @ SV105 @ SV410 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3177]) ).

thf(3497,plain,
    ! [SV665: set_re2066790124real_c,SV106: ( real > finite1398487019real_c ) > real > finite1398487019real_c,SV411: set_re2066790124real_c,SV864: real > finite1398487019real_c] :
      ( ( ( ~ ( member1321351885real_c @ SV864 @ SV411 ) )
        = $true )
      | ( ( member1321351885real_c @ ( SV106 @ SV864 ) @ SV665 )
        = $true )
      | ( ( member1851015714real_c @ SV106
          @ ( pi_rea1386151481real_c @ SV411
            @ ^ [SY2398: real > finite1398487019real_c] : SV665 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3178]) ).

thf(3498,plain,
    ! [SV865: finite1398487019real_c,SV666: finite1398487019real_c,SV412: finite1398487019real_c,SV107: finite1398487019real_c] :
      ( ( ( ( ( produc394644079real_c @ SV107 @ SV412 )
            = ( produc394644079real_c @ SV666 @ SV865 ) )
          | ~ ( ( SV107 != SV666 )
              | ( SV412 != SV865 ) ) )
        = $false )
      | ( ( ~ ( ( ( produc394644079real_c @ SV107 @ SV412 )
               != ( produc394644079real_c @ SV666 @ SV865 ) )
              | ~ ~ ( ( SV107 != SV666 )
                    | ( SV412 != SV865 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3179]) ).

thf(3499,plain,
    ! [SV668: set_c,SV414: c > sum_sum_c_d,SV109: set_Sum_sum_c_d] :
      ( ( ( ord_le764260924um_c_d @ SV109 @ ( image_c_Sum_sum_c_d @ SV414 @ SV668 ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le764260924um_c_d @ SV109 @ ( image_c_Sum_sum_c_d @ SV414 @ SV668 ) )
              | ~ ~ ! [SY2402: set_c] :
                      ~ ~ ( ~ ( ord_less_eq_set_c @ SY2402 @ SV668 )
                          | ( SV109
                           != ( image_c_Sum_sum_c_d @ SV414 @ SY2402 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3180]) ).

thf(3500,plain,
    ! [SV414: c > sum_sum_c_d,SV109: set_Sum_sum_c_d,SV668: set_c] :
      ( ( ( ~ ! [SY2402: set_c] :
                ~ ~ ( ~ ( ord_less_eq_set_c @ SY2402 @ SV668 )
                    | ( SV109
                     != ( image_c_Sum_sum_c_d @ SV414 @ SY2402 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le764260924um_c_d @ SV109 @ ( image_c_Sum_sum_c_d @ SV414 @ SV668 ) )
              | ~ ~ ! [SY2402: set_c] :
                      ~ ~ ( ~ ( ord_less_eq_set_c @ SY2402 @ SV668 )
                          | ( SV109
                           != ( image_c_Sum_sum_c_d @ SV414 @ SY2402 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3180]) ).

thf(3501,plain,
    ! [SV110: produc190496183real_c,SV415: denota231621370t_unit,SV669: oDE_a_c,SV866: finite1398487019real_c] :
      ( ( ~ ( ~ ( denota1997846518gree_c @ ( sK15_SY2621 @ SV866 @ SV669 @ SV415 @ SV110 ) @ SV110 @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ SV415 @ SV669 ) ) )
            | ~ ( denota1997846518gree_c @ ( sK15_SY2621 @ SV866 @ SV669 @ SV415 @ SV110 ) @ ( denota1896987029_a_b_c @ SV415 @ SV669 @ SV866 ) @ ( denota1293057250_a_b_c @ SV415 @ SV669 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3181]) ).

thf(3502,plain,
    ( ( ( p != phi )
      = $true )
    | ( ( ~ ( ord_less_eq_real @ zero_zero_real @ t )
        | ( ( produc394644079real_c @ aa @ ba )
         != ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
        | ~ ( initia1631504802real_c @ sol
            @ ^ [SX0: real] : ( denota1275485728_a_b_c @ i @ oDEa )
            @ ( set_or656347191t_real @ zero_zero_real @ t )
            @ ( collec230941376real_c
              @ ^ [SX0: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ SX0 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) )
        | ~ ( denota256060419gree_c @ ( sol @ zero_zero_real ) @ ab
            @ ( collect_c
              @ ^ [SX0: c] :
                  ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_BVO_a_c @ oDEa ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( static_FVO_a_c @ oDEa ) ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_FVF_a_b_c @ phi ) ) ) ) )
        | ( ab
          = ( finite557796307c_real
            @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
      = $true )
    | ( ( ode = oDEa )
      = $false )
    | ( ( fsafe_a_b_c @ phi )
      = $false )
    | ( ( osafe_a_c @ oDEa )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3182]) ).

thf(3503,plain,
    ! [SV670: produc190496183real_c,SV417: produc190496183real_c,SV112: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV112 @ ( set_or385782508real_c @ SV417 @ SV670 ) )
        = $false )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV112 @ ( set_or385782508real_c @ SV417 @ SV670 ) )
              | ~ ~ ( ~ ( ord_le850691415real_c @ SV417 @ SV112 )
                    | ~ ( ord_le850691415real_c @ SV112 @ SV670 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3183]) ).

thf(3504,plain,
    ! [SV670: produc190496183real_c,SV112: produc190496183real_c,SV417: produc190496183real_c] :
      ( ( ( ~ ( ~ ( ord_le850691415real_c @ SV417 @ SV112 )
              | ~ ( ord_le850691415real_c @ SV112 @ SV670 ) ) )
        = $false )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV112 @ ( set_or385782508real_c @ SV417 @ SV670 ) )
              | ~ ~ ( ~ ( ord_le850691415real_c @ SV417 @ SV112 )
                    | ~ ( ord_le850691415real_c @ SV112 @ SV670 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3183]) ).

thf(3505,plain,
    ! [SV418: c > sum_sum_c_d,SV113: sum_sum_c_d,SV867: set_c,SV671: c] :
      ( ( ( ~ ( member_c @ SV671 @ SV867 ) )
        = $true )
      | ( ( member_Sum_sum_c_d @ SV113 @ ( image_c_Sum_sum_c_d @ SV418 @ SV867 ) )
        = $true )
      | ( ( SV113
          = ( SV418 @ SV671 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3184]) ).

thf(3506,plain,
    ! [SV672: set_c,SV420: c > sum_sum_c_d,SV115: sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ SV115 @ ( image_c_Sum_sum_c_d @ SV420 @ SV672 ) )
        = $false )
      | ( ( ~ ( ~ ( member_Sum_sum_c_d @ SV115 @ ( image_c_Sum_sum_c_d @ SV420 @ SV672 ) )
              | ~ ~ ! [SY2406: c] :
                      ~ ~ ( ~ ( member_c @ SY2406 @ SV672 )
                          | ( SV115
                           != ( SV420 @ SY2406 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3185]) ).

thf(3507,plain,
    ! [SV420: c > sum_sum_c_d,SV115: sum_sum_c_d,SV672: set_c] :
      ( ( ( ~ ! [SY2406: c] :
                ~ ~ ( ~ ( member_c @ SY2406 @ SV672 )
                    | ( SV115
                     != ( SV420 @ SY2406 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( member_Sum_sum_c_d @ SV115 @ ( image_c_Sum_sum_c_d @ SV420 @ SV672 ) )
              | ~ ~ ! [SY2406: c] :
                      ~ ~ ( ~ ( member_c @ SY2406 @ SV672 )
                          | ( SV115
                           != ( SV420 @ SY2406 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3185]) ).

thf(3508,plain,
    ! [SV116: set_c,SV421: c > real > finite1398487019real_c,SV673: set_re2066790124real_c] :
      ( ( ( ~ ( member_c @ ( sK16_SY2407 @ SV673 @ SV421 @ SV116 ) @ SV116 ) )
        = $false )
      | ( ( member469531344real_c @ SV421
          @ ( pi_c_r41638571real_c @ SV116
            @ ^ [SY2408: c] : SV673 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3186]) ).

thf(3509,plain,
    ! [SV116: set_c,SV673: set_re2066790124real_c,SV421: c > real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ ( SV421 @ ( sK16_SY2407 @ SV673 @ SV421 @ SV116 ) ) @ SV673 )
        = $false )
      | ( ( member469531344real_c @ SV421
          @ ( pi_c_r41638571real_c @ SV116
            @ ^ [SY2408: c] : SV673 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3186]) ).

thf(3510,plain,
    ! [SV674: real,SV422: real,SV117: real] :
      ( ( ( member_real @ SV117 @ ( set_or656347191t_real @ SV422 @ SV674 ) )
        = $false )
      | ( ( ~ ( ~ ( member_real @ SV117 @ ( set_or656347191t_real @ SV422 @ SV674 ) )
              | ~ ~ ( ~ ( ord_less_eq_real @ SV422 @ SV117 )
                    | ~ ( ord_less_eq_real @ SV117 @ SV674 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3187]) ).

thf(3511,plain,
    ! [SV674: real,SV117: real,SV422: real] :
      ( ( ( ~ ( ~ ( ord_less_eq_real @ SV422 @ SV117 )
              | ~ ( ord_less_eq_real @ SV117 @ SV674 ) ) )
        = $false )
      | ( ( ~ ( ~ ( member_real @ SV117 @ ( set_or656347191t_real @ SV422 @ SV674 ) )
              | ~ ~ ( ~ ( ord_less_eq_real @ SV422 @ SV117 )
                    | ~ ( ord_less_eq_real @ SV117 @ SV674 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3187]) ).

thf(3512,plain,
    ! [SV675: set_Sum_sum_c_c,SV423: sum_sum_c_c > c,SV118: c] :
      ( ( ( ( SV118
           != ( SV423 @ ( sK62_SY2409 @ SV675 @ SV423 @ SV118 ) ) )
          | ~ ( member_Sum_sum_c_c @ ( sK62_SY2409 @ SV675 @ SV423 @ SV118 ) @ SV675 ) )
        = $false )
      | ( ( member_c @ SV118 @ ( image_Sum_sum_c_c_c @ SV423 @ SV675 ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[3188]) ).

thf(3513,plain,
    ! [SV961: set_c,SV868: finite1398487019real_c,SV424: finite1398487019real_c] :
      ( ( ~ ( ( denota256060419gree_c @ SV424 @ SV868 @ SV961 )
            | ! [SY2672: c] :
                ( ~ ( member_c @ SY2672 @ SV961 )
                | ( ( finite772340578real_c @ SV424 @ SY2672 )
                  = ( finite772340578real_c @ SV868 @ SY2672 ) ) ) )
        | ~ ( ~ ( denota256060419gree_c @ SV424 @ SV868 @ SV961 )
            | ~ ! [SY2672: c] :
                  ( ~ ( member_c @ SY2672 @ SV961 )
                  | ( ( finite772340578real_c @ SV424 @ SY2672 )
                    = ( finite772340578real_c @ SV868 @ SY2672 ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[3189]) ).

thf(3514,plain,
    ! [SV961: set_c,SV868: finite1398487019real_c,SV424: finite1398487019real_c] :
      ( ( ( denota256060419gree_c @ SV424 @ SV868 @ SV961 )
        = ( ! [SY2672: c] :
              ( ~ ( member_c @ SY2672 @ SV961 )
              | ( ( finite772340578real_c @ SV424 @ SY2672 )
                = ( finite772340578real_c @ SV868 @ SY2672 ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[3189]) ).

thf(3515,plain,
    ! [SV120: set_Sum_sum_c_d,SV425: sum_sum_c_d > sum_sum_c_c,SV677: set_Sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_d @ ( sK17_SY2412 @ SV677 @ SV425 @ SV120 ) @ SV120 ) )
        = $false )
      | ( ( ord_le1772180283um_c_c @ ( image_1558941394um_c_c @ SV425 @ SV120 ) @ SV677 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3190]) ).

thf(3516,plain,
    ! [SV120: set_Sum_sum_c_d,SV677: set_Sum_sum_c_c,SV425: sum_sum_c_d > sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ ( SV425 @ ( sK17_SY2412 @ SV677 @ SV425 @ SV120 ) ) @ SV677 )
        = $false )
      | ( ( ord_le1772180283um_c_c @ ( image_1558941394um_c_c @ SV425 @ SV120 ) @ SV677 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3190]) ).

thf(3517,plain,
    ! [SV124: set_Sum_sum_c_c,SV429: sum_sum_c_c > sum_sum_c_d,SV679: sum_sum_c_c > set_Sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sK18_SY2415 @ SV679 @ SV429 @ SV124 ) @ SV124 ) )
        = $false )
      | ( ( member318754689um_c_d @ SV429 @ ( pi_Sum261268376um_c_d @ SV124 @ SV679 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3191]) ).

thf(3518,plain,
    ! [SV124: set_Sum_sum_c_c,SV679: sum_sum_c_c > set_Sum_sum_c_d,SV429: sum_sum_c_c > sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ ( SV429 @ ( sK18_SY2415 @ SV679 @ SV429 @ SV124 ) ) @ ( SV679 @ ( sK18_SY2415 @ SV679 @ SV429 @ SV124 ) ) )
        = $false )
      | ( ( member318754689um_c_d @ SV429 @ ( pi_Sum261268376um_c_d @ SV124 @ SV679 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3191]) ).

thf(3519,plain,
    ! [SV869: set_Sum_sum_c_d,SV430: set_Sum_sum_c_d] :
      ( ( ( ( ord_le764260924um_c_d @ SV430 @ SV869 )
          | ! [SY2624: sum_sum_c_d] :
              ( ~ ( member_Sum_sum_c_d @ SY2624 @ SV430 )
              | ( member_Sum_sum_c_d @ SY2624 @ SV869 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le764260924um_c_d @ SV430 @ SV869 )
              | ~ ! [SY2624: sum_sum_c_d] :
                    ( ~ ( member_Sum_sum_c_d @ SY2624 @ SV430 )
                    | ( member_Sum_sum_c_d @ SY2624 @ SV869 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3192]) ).

thf(3520,plain,
    ! [SV126: set_Sum_sum_c_d,SV431: sum_sum_c_d > c,SV681: sum_sum_c_d > set_c] :
      ( ( ( ~ ( member_Sum_sum_c_d @ ( sK19_SY2417 @ SV681 @ SV431 @ SV126 ) @ SV126 ) )
        = $false )
      | ( ( member_Sum_sum_c_d_c @ SV431 @ ( pi_Sum_sum_c_d_c @ SV126 @ SV681 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3193]) ).

thf(3521,plain,
    ! [SV126: set_Sum_sum_c_d,SV681: sum_sum_c_d > set_c,SV431: sum_sum_c_d > c] :
      ( ( ( member_c @ ( SV431 @ ( sK19_SY2417 @ SV681 @ SV431 @ SV126 ) ) @ ( SV681 @ ( sK19_SY2417 @ SV681 @ SV431 @ SV126 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_d_c @ SV431 @ ( pi_Sum_sum_c_d_c @ SV126 @ SV681 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3193]) ).

thf(3522,plain,
    ! [SV129: c > sum_sum_c_c,SV434: set_c,SV683: sum_sum_c_c > $o] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sK20_SY2418 @ SV683 @ SV434 @ SV129 ) @ ( image_c_Sum_sum_c_c @ SV129 @ SV434 ) ) )
        = $false )
      | ( ( ! [SY2419: c] :
              ( ~ ( member_c @ SY2419 @ SV434 )
              | ( SV683 @ ( SV129 @ SY2419 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3194]) ).

thf(3523,plain,
    ! [SV129: c > sum_sum_c_c,SV434: set_c,SV683: sum_sum_c_c > $o] :
      ( ( ( SV683 @ ( sK20_SY2418 @ SV683 @ SV434 @ SV129 ) )
        = $false )
      | ( ( ! [SY2419: c] :
              ( ~ ( member_c @ SY2419 @ SV434 )
              | ( SV683 @ ( SV129 @ SY2419 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3194]) ).

thf(3524,plain,
    ! [SV130: set_Sum_sum_c_c,SV435: sum_sum_c_c > sum_sum_c_d,SV684: set_Sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sK21_SY2420 @ SV684 @ SV435 @ SV130 ) @ SV130 ) )
        = $false )
      | ( ( ord_le764260924um_c_d @ ( image_675141842um_c_d @ SV435 @ SV130 ) @ SV684 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3195]) ).

thf(3525,plain,
    ! [SV130: set_Sum_sum_c_c,SV684: set_Sum_sum_c_d,SV435: sum_sum_c_c > sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ ( SV435 @ ( sK21_SY2420 @ SV684 @ SV435 @ SV130 ) ) @ SV684 )
        = $false )
      | ( ( ord_le764260924um_c_d @ ( image_675141842um_c_d @ SV435 @ SV130 ) @ SV684 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3195]) ).

thf(3526,plain,
    ! [SV685: c > set_Sum_sum_c_c,SV131: c > sum_sum_c_c,SV436: set_c,SV870: c] :
      ( ( ( ~ ( member_c @ SV870 @ SV436 ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( SV131 @ SV870 ) @ ( SV685 @ SV870 ) )
        = $true )
      | ( ( member_c_Sum_sum_c_c @ SV131 @ ( pi_c_Sum_sum_c_c @ SV436 @ SV685 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3196]) ).

thf(3527,plain,
    ! [SV871: set_re2066790124real_c,SV437: set_re2066790124real_c] :
      ( ( ( ( ord_le35002188real_c @ SV437 @ SV871 )
          | ! [SY2625: real > finite1398487019real_c] :
              ( ~ ( member1321351885real_c @ SY2625 @ SV437 )
              | ( member1321351885real_c @ SY2625 @ SV871 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le35002188real_c @ SV437 @ SV871 )
              | ~ ! [SY2625: real > finite1398487019real_c] :
                    ( ~ ( member1321351885real_c @ SY2625 @ SV437 )
                    | ( member1321351885real_c @ SY2625 @ SV871 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3197]) ).

thf(3528,plain,
    ! [SV687: c > set_Sum_sum_c_d,SV133: c > sum_sum_c_d,SV438: set_c,SV872: c] :
      ( ( ( ~ ( member_c @ SV872 @ SV438 ) )
        = $true )
      | ( ( member_Sum_sum_c_d @ ( SV133 @ SV872 ) @ ( SV687 @ SV872 ) )
        = $true )
      | ( ( member_c_Sum_sum_c_d @ SV133 @ ( pi_c_Sum_sum_c_d @ SV438 @ SV687 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3198]) ).

thf(3529,plain,
    ! [SV439: set_c,SV688: c > set_Sum_sum_c_d,SV873: c,SV134: c > sum_sum_c_d] :
      ( ( ( ~ ~ ( member_Sum_sum_c_d @ ( SV134 @ SV873 ) @ ( SV688 @ SV873 ) ) )
        = $true )
      | ( ( ~ ( member_c @ SV873 @ SV439 ) )
        = $true )
      | ( ( member_c_Sum_sum_c_d @ SV134 @ ( pi_c_Sum_sum_c_d @ SV439 @ SV688 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3199]) ).

thf(3530,plain,
    ! [SV136: set_c,SV441: c > c,SV689: set_c] :
      ( ( ( ~ ( member_c @ ( sK23_SY2425 @ SV689 @ SV441 @ SV136 ) @ SV136 ) )
        = $false )
      | ( ( member_c_c @ SV441
          @ ( pi_c_c @ SV136
            @ ^ [SY2426: c] : SV689 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3201]) ).

thf(3531,plain,
    ! [SV136: set_c,SV689: set_c,SV441: c > c] :
      ( ( ( member_c @ ( SV441 @ ( sK23_SY2425 @ SV689 @ SV441 @ SV136 ) ) @ SV689 )
        = $false )
      | ( ( member_c_c @ SV441
          @ ( pi_c_c @ SV136
            @ ^ [SY2426: c] : SV689 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3201]) ).

thf(3532,plain,
    ! [SV442: finite1398487019real_c > $o,SV137: finite1398487019real_c > $o] :
      ( ( ( ~ ( ( SV137 @ ( sK6_SY2016 @ SV442 @ SV137 ) )
              | ( SV442 @ ( sK6_SY2016 @ SV442 @ SV137 ) ) ) )
        = $false )
      | ( ( ( collec230941376real_c @ SV137 )
          = ( collec230941376real_c @ SV442 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3202]) ).

thf(3533,plain,
    ! [SV442: finite1398487019real_c > $o,SV137: finite1398487019real_c > $o] :
      ( ( ( ~ ( ~ ( SV137 @ ( sK6_SY2016 @ SV442 @ SV137 ) )
              | ~ ( SV442 @ ( sK6_SY2016 @ SV442 @ SV137 ) ) ) )
        = $false )
      | ( ( ( collec230941376real_c @ SV137 )
          = ( collec230941376real_c @ SV442 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3202]) ).

thf(3534,plain,
    ! [SV690: set_c,SV139: ( real > finite1398487019real_c ) > c,SV444: set_re2066790124real_c,SV874: real > finite1398487019real_c] :
      ( ( ( ~ ( member1321351885real_c @ SV874 @ SV444 ) )
        = $true )
      | ( ( member_c @ ( SV139 @ SV874 ) @ SV690 )
        = $true )
      | ( ( member527957930al_c_c @ SV139
          @ ( pi_rea1228756413al_c_c @ SV444
            @ ^ [SY2428: real > finite1398487019real_c] : SV690 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3205]) ).

thf(3535,plain,
    ! [SV691: set_c,SV445: c > c,SV140: c] :
      ( ( ( ( SV140
           != ( SV445 @ ( sK63_SY2429 @ SV691 @ SV445 @ SV140 ) ) )
          | ~ ( member_c @ ( sK63_SY2429 @ SV691 @ SV445 @ SV140 ) @ SV691 ) )
        = $false )
      | ( ( member_c @ SV140 @ ( image_c_c @ SV445 @ SV691 ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[3206]) ).

thf(3536,plain,
    ! [SV446: finite1398487019real_c > $o,SV141: finite1398487019real_c > $o] :
      ( ( ( ~ ( ord_le1327118209real_c @ ( collec230941376real_c @ SV141 ) @ ( collec230941376real_c @ SV446 ) )
          | ~ ! [SY2024: finite1398487019real_c] :
                ( ~ ( SV141 @ SY2024 )
                | ( SV446 @ SY2024 ) ) )
        = $false )
      | ( ( ord_le1327118209real_c @ ( collec230941376real_c @ SV141 ) @ ( collec230941376real_c @ SV446 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3207]) ).

thf(3537,plain,
    ! [SV446: finite1398487019real_c > $o,SV141: finite1398487019real_c > $o] :
      ( ( ( ~ ( SV141 @ ( sK64_SY2024 @ SV446 @ SV141 ) )
          | ( SV446 @ ( sK64_SY2024 @ SV446 @ SV141 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le1327118209real_c @ ( collec230941376real_c @ SV141 ) @ ( collec230941376real_c @ SV446 ) )
              | ~ ! [SY2024: finite1398487019real_c] :
                    ( ~ ( SV141 @ SY2024 )
                    | ( SV446 @ SY2024 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[3208]) ).

thf(3538,plain,
    ! [SV692: set_c,SV447: c > sum_sum_c_d,SV142: sum_sum_c_d] :
      ( ( ( ( SV142
           != ( SV447 @ ( sK65_SY2430 @ SV692 @ SV447 @ SV142 ) ) )
          | ~ ( member_c @ ( sK65_SY2430 @ SV692 @ SV447 @ SV142 ) @ SV692 ) )
        = $false )
      | ( ( member_Sum_sum_c_d @ SV142 @ ( image_c_Sum_sum_c_d @ SV447 @ SV692 ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[3209]) ).

thf(3539,plain,
    ! [SV143: set_real,SV448: real > finite1398487019real_c,SV693: real > finite1398487019real_c,SV875: real > set_Fi1407883041real_c] :
      ( ( ( ~ ( member_real @ ( sK66_SY2432 @ SV875 @ SV693 @ SV448 @ SV143 ) @ SV143 )
          | ( ( SV448 @ ( sK66_SY2432 @ SV875 @ SV693 @ SV448 @ SV143 ) )
            = ( SV693 @ ( sK66_SY2432 @ SV875 @ SV693 @ SV448 @ SV143 ) ) ) )
        = $false )
      | ( ( ( member1321351885real_c @ SV448 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) )
          = ( member1321351885real_c @ SV693 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[3210]) ).

thf(3540,plain,
    ! [SV144: set_Sum_sum_c_d,SV449: sum_sum_c_d > c,SV694: set_c] :
      ( ( ( ~ ( member_Sum_sum_c_d @ ( sK25_SY2433 @ SV694 @ SV449 @ SV144 ) @ SV144 ) )
        = $false )
      | ( ( ord_less_eq_set_c @ ( image_Sum_sum_c_d_c @ SV449 @ SV144 ) @ SV694 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3211]) ).

thf(3541,plain,
    ! [SV144: set_Sum_sum_c_d,SV694: set_c,SV449: sum_sum_c_d > c] :
      ( ( ( member_c @ ( SV449 @ ( sK25_SY2433 @ SV694 @ SV449 @ SV144 ) ) @ SV694 )
        = $false )
      | ( ( ord_less_eq_set_c @ ( image_Sum_sum_c_d_c @ SV449 @ SV144 ) @ SV694 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3211]) ).

thf(3542,plain,
    ! [SV450: set_Sum_sum_c_c,SV695: sum_sum_c_c > set_Sum_sum_c_d,SV876: sum_sum_c_c,SV145: sum_sum_c_c > sum_sum_c_d] :
      ( ( ( ~ ~ ( member_Sum_sum_c_d @ ( SV145 @ SV876 ) @ ( SV695 @ SV876 ) ) )
        = $true )
      | ( ( ~ ( member_Sum_sum_c_c @ SV876 @ SV450 ) )
        = $true )
      | ( ( member318754689um_c_d @ SV145 @ ( pi_Sum261268376um_c_d @ SV450 @ SV695 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3212]) ).

thf(3543,plain,
    ! [SV451: set_real,SV696: real > set_Fi1407883041real_c,SV877: real,SV146: real > finite1398487019real_c] :
      ( ( ( ~ ~ ( member1261661570real_c @ ( SV146 @ SV877 ) @ ( SV696 @ SV877 ) ) )
        = $true )
      | ( ( ~ ( member_real @ SV877 @ SV451 ) )
        = $true )
      | ( ( member1321351885real_c @ SV146 @ ( pi_rea1111636068real_c @ SV451 @ SV696 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3213]) ).

thf(3544,plain,
    ! [SV697: set_Sum_sum_c_c,SV147: ( real > finite1398487019real_c ) > sum_sum_c_c,SV452: set_re2066790124real_c,SV878: real > finite1398487019real_c] :
      ( ( ( ~ ( member1321351885real_c @ SV878 @ SV452 ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( SV147 @ SV878 ) @ SV697 )
        = $true )
      | ( ( member354622481um_c_c @ SV147
          @ ( pi_rea1500330408um_c_c @ SV452
            @ ^ [SY2437: real > finite1398487019real_c] : SV697 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3214]) ).

thf(3545,plain,
    ! [SV148: produc190496183real_c] :
      ( ( SV148
        = ( produc394644079real_c @ ( sK1_SY1386 @ SV148 ) @ ( sK26_SY2438 @ SV148 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3215]) ).

thf(3546,plain,
    ! [SV453: set_Sum_sum_c_d,SV149: sum_sum_c_d,SV879: sum_sum_c_d > sum_sum_c_c,SV698: sum_sum_c_c] :
      ( ( ( SV698
         != ( SV879 @ SV149 ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ SV698 @ ( image_1558941394um_c_c @ SV879 @ SV453 ) )
        = $true )
      | ( ( member_Sum_sum_c_d @ SV149 @ SV453 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3216]) ).

thf(3547,plain,
    ! [SV699: set_Sum_sum_c_d,SV454: set_c,SV150: c > sum_sum_c_d] :
      ( ( ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV150 @ SV454 ) @ SV699 )
        = $false )
      | ( ( ~ ( ~ ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV150 @ SV454 ) @ SV699 )
              | ~ ! [SY2440: c] :
                    ( ~ ( member_c @ SY2440 @ SV454 )
                    | ( member_Sum_sum_c_d @ ( SV150 @ SY2440 ) @ SV699 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3217]) ).

thf(3548,plain,
    ! [SV699: set_Sum_sum_c_d,SV150: c > sum_sum_c_d,SV454: set_c] :
      ( ( ( ! [SY2440: c] :
              ( ~ ( member_c @ SY2440 @ SV454 )
              | ( member_Sum_sum_c_d @ ( SV150 @ SY2440 ) @ SV699 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV150 @ SV454 ) @ SV699 )
              | ~ ! [SY2440: c] :
                    ( ~ ( member_c @ SY2440 @ SV454 )
                    | ( member_Sum_sum_c_d @ ( SV150 @ SY2440 ) @ SV699 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3217]) ).

thf(3549,plain,
    ! [SV455: c > sum_sum_c_c,SV151: sum_sum_c_c,SV880: set_c,SV700: c] :
      ( ( ( ~ ( member_c @ SV700 @ SV880 ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ SV151 @ ( image_c_Sum_sum_c_c @ SV455 @ SV880 ) )
        = $true )
      | ( ( SV151
          = ( SV455 @ SV700 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3218]) ).

thf(3550,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
            = ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
          | ~ ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
                  | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
              | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
                  | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) ) )
        = $false )
      | ( ( ~ ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
               != ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
              | ~ ~ ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
                        | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
                    | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
                        | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3219]) ).

thf(3551,plain,
    ! [SV459: set_Sum_sum_c_d,SV702: sum_sum_c_d > set_Sum_sum_c_c,SV882: sum_sum_c_d,SV155: sum_sum_c_d > sum_sum_c_c] :
      ( ( ( ~ ~ ( member_Sum_sum_c_c @ ( SV155 @ SV882 ) @ ( SV702 @ SV882 ) ) )
        = $true )
      | ( ( ~ ( member_Sum_sum_c_d @ SV882 @ SV459 ) )
        = $true )
      | ( ( member71251457um_c_c @ SV155 @ ( pi_Sum1145067928um_c_c @ SV459 @ SV702 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3220]) ).

thf(3552,plain,
    ! [SV157: set_c,SV461: c > c,SV703: set_c] :
      ( ( ( ~ ( member_c @ ( sK27_SY2444 @ SV703 @ SV461 @ SV157 ) @ SV157 ) )
        = $false )
      | ( ( ord_less_eq_set_c @ ( image_c_c @ SV461 @ SV157 ) @ SV703 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3221]) ).

thf(3553,plain,
    ! [SV157: set_c,SV703: set_c,SV461: c > c] :
      ( ( ( member_c @ ( SV461 @ ( sK27_SY2444 @ SV703 @ SV461 @ SV157 ) ) @ SV703 )
        = $false )
      | ( ( ord_less_eq_set_c @ ( image_c_c @ SV461 @ SV157 ) @ SV703 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3221]) ).

thf(3554,plain,
    ! [SV462: produc190496183real_c,SV158: produc190496183real_c] :
      ( ( ( ( produc2010422875real_c @ SV158 )
          = ( produc2010422875real_c @ SV462 ) )
        = $false )
      | ( ( ( produc314122909real_c @ SV158 )
         != ( produc314122909real_c @ SV462 ) )
        = $true )
      | ( ( SV158 = SV462 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3222]) ).

thf(3555,plain,
    ! [SV159: set_c,SV463: c > sum_sum_c_d,SV704: set_Sum_sum_c_d] :
      ( ( ( ~ ( member_c @ ( sK28_SY2445 @ SV704 @ SV463 @ SV159 ) @ SV159 ) )
        = $false )
      | ( ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV463 @ SV159 ) @ SV704 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3223]) ).

thf(3556,plain,
    ! [SV159: set_c,SV704: set_Sum_sum_c_d,SV463: c > sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ ( SV463 @ ( sK28_SY2445 @ SV704 @ SV463 @ SV159 ) ) @ SV704 )
        = $false )
      | ( ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV463 @ SV159 ) @ SV704 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3223]) ).

thf(3557,plain,
    ! [SV706: set_Sum_sum_c_c,SV465: set_c,SV161: c > sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV161 @ SV465 ) @ SV706 )
        = $false )
      | ( ( ~ ( ~ ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV161 @ SV465 ) @ SV706 )
              | ~ ! [SY2448: c] :
                    ( ~ ( member_c @ SY2448 @ SV465 )
                    | ( member_Sum_sum_c_c @ ( SV161 @ SY2448 ) @ SV706 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3224]) ).

thf(3558,plain,
    ! [SV706: set_Sum_sum_c_c,SV161: c > sum_sum_c_c,SV465: set_c] :
      ( ( ( ! [SY2448: c] :
              ( ~ ( member_c @ SY2448 @ SV465 )
              | ( member_Sum_sum_c_c @ ( SV161 @ SY2448 ) @ SV706 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV161 @ SV465 ) @ SV706 )
              | ~ ! [SY2448: c] :
                    ( ~ ( member_c @ SY2448 @ SV465 )
                    | ( member_Sum_sum_c_c @ ( SV161 @ SY2448 ) @ SV706 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3224]) ).

thf(3559,plain,
    ! [SV466: set_re2066790124real_c,SV162: set_re2066790124real_c,SV707: real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ SV707 @ SV162 )
        = $false )
      | ( ( member1321351885real_c @ SV707 @ SV466 )
        = $true )
      | ( ( ord_le35002188real_c @ SV162 @ SV466 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3225]) ).

thf(3560,plain,
    ! [SV883: real,SV708: real,SV467: real,SV163: real] :
      ( ( ( ( ( set_or656347191t_real @ SV163 @ SV467 )
            = ( set_or656347191t_real @ SV708 @ SV883 ) )
          | ~ ( ( SV163 != SV708 )
              | ( SV467 != SV883 ) )
          | ~ ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 )
              | ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) ) )
        = $false )
      | ( ( ~ ( ( ( set_or656347191t_real @ SV163 @ SV467 )
               != ( set_or656347191t_real @ SV708 @ SV883 ) )
              | ~ ( ~ ( ( SV163 != SV708 )
                      | ( SV467 != SV883 ) )
                  | ~ ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 )
                      | ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3226]) ).

thf(3561,plain,
    ! [SV954: produc190496183real_c,SV884: finite1398487019real_c,SV709: produc190496183real_c,SV469: oDE_a_c,SV165: denota231621370t_unit] :
      ( ( ( ( denota310462944_a_b_c @ SV165 @ SV469 @ SV709 @ SV884 )
          = SV954 )
        = $false )
      | ( ( SV954
          = ( produc394644079real_c
            @ ( finite557796307c_real
              @ ^ [SY2630: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2630 ) @ ( denota1293057250_a_b_c @ SV165 @ SV469 ) ) @ SV884 @ ( produc2010422875real_c @ SV709 ) ) @ SY2630 ) )
            @ ( finite557796307c_real
              @ ^ [SY2631: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2631 ) @ ( denota1293057250_a_b_c @ SV165 @ SV469 ) ) @ ( denota1275485728_a_b_c @ SV165 @ SV469 @ SV884 ) @ ( produc314122909real_c @ SV709 ) ) @ SY2631 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3227]) ).

thf(3562,plain,
    ! [SV470: set_Pr1389752855real_c,SV166: set_Pr1389752855real_c,SV710: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV710 @ SV166 )
        = $false )
      | ( ( member1895684704real_c @ SV710 @ SV470 )
        = $true )
      | ( ( ord_le977353143real_c @ SV166 @ SV470 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3228]) ).

thf(3563,plain,
    ! [SV170: set_Sum_sum_c_d,SV474: sum_sum_c_d > sum_sum_c_d,SV713: set_Sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_d @ ( sK29_SY2456 @ SV713 @ SV474 @ SV170 ) @ SV170 ) )
        = $false )
      | ( ( ord_le764260924um_c_d @ ( image_1567202899um_c_d @ SV474 @ SV170 ) @ SV713 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3230]) ).

thf(3564,plain,
    ! [SV170: set_Sum_sum_c_d,SV713: set_Sum_sum_c_d,SV474: sum_sum_c_d > sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ ( SV474 @ ( sK29_SY2456 @ SV713 @ SV474 @ SV170 ) ) @ SV713 )
        = $false )
      | ( ( ord_le764260924um_c_d @ ( image_1567202899um_c_d @ SV474 @ SV170 ) @ SV713 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3230]) ).

thf(3565,plain,
    ! [SV714: sum_sum_c_d > set_c,SV171: sum_sum_c_d > c,SV475: set_Sum_sum_c_d,SV885: sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_d @ SV885 @ SV475 ) )
        = $true )
      | ( ( member_c @ ( SV171 @ SV885 ) @ ( SV714 @ SV885 ) )
        = $true )
      | ( ( member_Sum_sum_c_d_c @ SV171 @ ( pi_Sum_sum_c_d_c @ SV475 @ SV714 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3231]) ).

thf(3566,plain,
    ! [SV476: set_c,SV172: set_c,SV715: c] :
      ( ( ( member_c @ SV715 @ SV172 )
        = $false )
      | ( ( member_c @ SV715 @ SV476 )
        = $true )
      | ( ( ord_less_eq_set_c @ SV172 @ SV476 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3232]) ).

thf(3567,plain,
    ! [SV175: set_Sum_sum_c_c,SV478: sum_sum_c_c > sum_sum_c_c,SV717: set_Sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sK30_SY2458 @ SV717 @ SV478 @ SV175 ) @ SV175 ) )
        = $false )
      | ( ( member1326674048um_c_c @ SV478
          @ ( pi_Sum253006871um_c_c @ SV175
            @ ^ [SY2459: sum_sum_c_c] : SV717 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3233]) ).

thf(3568,plain,
    ! [SV175: set_Sum_sum_c_c,SV717: set_Sum_sum_c_c,SV478: sum_sum_c_c > sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ ( SV478 @ ( sK30_SY2458 @ SV717 @ SV478 @ SV175 ) ) @ SV717 )
        = $false )
      | ( ( member1326674048um_c_c @ SV478
          @ ( pi_Sum253006871um_c_c @ SV175
            @ ^ [SY2459: sum_sum_c_c] : SV717 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3233]) ).

thf(3569,plain,
    ! [SV177: set_real,SV480: real > finite1398487019real_c,SV718: real > set_Fi1407883041real_c] :
      ( ( ( ~ ( member_real @ ( sK31_SY2460 @ SV718 @ SV480 @ SV177 ) @ SV177 ) )
        = $false )
      | ( ( member1321351885real_c @ SV480 @ ( pi_rea1111636068real_c @ SV177 @ SV718 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3234]) ).

thf(3570,plain,
    ! [SV177: set_real,SV718: real > set_Fi1407883041real_c,SV480: real > finite1398487019real_c] :
      ( ( ( member1261661570real_c @ ( SV480 @ ( sK31_SY2460 @ SV718 @ SV480 @ SV177 ) ) @ ( SV718 @ ( sK31_SY2460 @ SV718 @ SV480 @ SV177 ) ) )
        = $false )
      | ( ( member1321351885real_c @ SV480 @ ( pi_rea1111636068real_c @ SV177 @ SV718 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3234]) ).

thf(3571,plain,
    ! [SV962: set_Sum_sum_c_c,SV886: produc190496183real_c,SV481: produc190496183real_c] :
      ( ( ~ ( ( denota1997846518gree_c @ SV481 @ SV886 @ SV962 )
            | ~ ( ~ ! [SY2673: c] :
                      ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2673 ) @ SV962 )
                      | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2673 )
                        = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2673 ) ) )
                | ~ ! [SY2674: c] :
                      ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
                      | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                        = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) ) )
        | ~ ( ~ ( denota1997846518gree_c @ SV481 @ SV886 @ SV962 )
            | ~ ~ ( ~ ! [SY2673: c] :
                        ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2673 ) @ SV962 )
                        | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2673 )
                          = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2673 ) ) )
                  | ~ ! [SY2674: c] :
                        ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
                        | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                          = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[3235]) ).

thf(3572,plain,
    ! [SV962: set_Sum_sum_c_c,SV886: produc190496183real_c,SV481: produc190496183real_c] :
      ( ( ( denota1997846518gree_c @ SV481 @ SV886 @ SV962 )
        = ( ~ ( ~ ! [SY2673: c] :
                    ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2673 ) @ SV962 )
                    | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2673 )
                      = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2673 ) ) )
              | ~ ! [SY2674: c] :
                    ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
                    | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                      = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[3235]) ).

thf(3573,plain,
    ( ( ( ~ ( ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
            | ( ( finite772340578real_c
                @ ( produc2010422875real_c
                  @ ( denota161327353_a_b_c @ i @ oDEa
                    @ ( produc394644079real_c
                      @ ( finite557796307c_real
                        @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                      @ bb )
                    @ ( finite557796307c_real
                      @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
                @ i2 )
              = ( finite772340578real_c @ ( sol @ x ) @ i2 ) ) ) )
      = $false )
    | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3236]) ).

thf(3574,plain,
    ( ( ( ~ ( ~ ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
            | ( ( finite772340578real_c
                @ ( produc2010422875real_c
                  @ ( denota161327353_a_b_c @ i @ oDEa
                    @ ( produc394644079real_c
                      @ ( finite557796307c_real
                        @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                      @ bb )
                    @ ( finite557796307c_real
                      @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
                @ i2 )
              = ( finite772340578real_c @ ab @ i2 ) ) ) )
      = $false )
    | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3236]) ).

thf(3575,plain,
    ( ( ( ~ ( ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
            | ( ( finite772340578real_c
                @ ( produc2010422875real_c
                  @ ( denota161327353_a_b_c @ i @ oDEa
                    @ ( produc394644079real_c
                      @ ( finite557796307c_real
                        @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                      @ bb )
                    @ ( finite557796307c_real
                      @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
                @ i2 )
              = ( finite772340578real_c @ ( sol @ x ) @ i2 ) ) ) )
      = $false )
    | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3237]) ).

thf(3576,plain,
    ( ( ( ~ ( ~ ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
            | ( ( finite772340578real_c
                @ ( produc2010422875real_c
                  @ ( denota161327353_a_b_c @ i @ oDEa
                    @ ( produc394644079real_c
                      @ ( finite557796307c_real
                        @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                      @ bb )
                    @ ( finite557796307c_real
                      @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
                @ i2 )
              = ( finite772340578real_c @ ab @ i2 ) ) ) )
      = $false )
    | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3237]) ).

thf(3577,plain,
    ! [SV180: set_c,SV483: c > c,SV720: c > set_c] :
      ( ( ( ~ ( member_c @ ( sK32_SY2464 @ SV720 @ SV483 @ SV180 ) @ SV180 ) )
        = $false )
      | ( ( member_c_c @ SV483 @ ( pi_c_c @ SV180 @ SV720 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3238]) ).

thf(3578,plain,
    ! [SV180: set_c,SV720: c > set_c,SV483: c > c] :
      ( ( ( member_c @ ( SV483 @ ( sK32_SY2464 @ SV720 @ SV483 @ SV180 ) ) @ ( SV720 @ ( sK32_SY2464 @ SV720 @ SV483 @ SV180 ) ) )
        = $false )
      | ( ( member_c_c @ SV483 @ ( pi_c_c @ SV180 @ SV720 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3238]) ).

thf(3579,plain,
    ! [SV721: set_c,SV181: set_Sum_sum_c_c,SV484: c > sum_sum_c_c] :
      ( ( ( ~ ( ord_less_eq_set_c @ ( sK67_SY2465 @ SV484 @ SV181 @ SV721 ) @ SV721 )
          | ( SV181
           != ( image_c_Sum_sum_c_c @ SV484 @ ( sK67_SY2465 @ SV484 @ SV181 @ SV721 ) ) ) )
        = $false )
      | ( ( ord_le1772180283um_c_c @ SV181 @ ( image_c_Sum_sum_c_c @ SV484 @ SV721 ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[3239]) ).

thf(3580,plain,
    ! [SV182: set_Sum_sum_c_d,SV485: sum_sum_c_d > sum_sum_c_c,SV722: set_Sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_d @ ( sK33_SY2466 @ SV722 @ SV485 @ SV182 ) @ SV182 ) )
        = $false )
      | ( ( member71251457um_c_c @ SV485
          @ ( pi_Sum1145067928um_c_c @ SV182
            @ ^ [SY2467: sum_sum_c_d] : SV722 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3240]) ).

thf(3581,plain,
    ! [SV182: set_Sum_sum_c_d,SV722: set_Sum_sum_c_c,SV485: sum_sum_c_d > sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ ( SV485 @ ( sK33_SY2466 @ SV722 @ SV485 @ SV182 ) ) @ SV722 )
        = $false )
      | ( ( member71251457um_c_c @ SV485
          @ ( pi_Sum1145067928um_c_c @ SV182
            @ ^ [SY2467: sum_sum_c_d] : SV722 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3240]) ).

thf(3582,plain,
    ! [SV486: set_re2066790124real_c,SV183: set_re2066790124real_c,SV723: real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ SV723 @ SV183 )
        = $false )
      | ( ( member1321351885real_c @ SV723 @ SV486 )
        = $true )
      | ( ( ord_le35002188real_c @ SV183 @ SV486 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3241]) ).

thf(3583,plain,
    ! [SV887: finite1398487019real_c,SV724: finite1398487019real_c,SV487: finite1398487019real_c,SV184: finite1398487019real_c] :
      ( ( ( ( ( produc394644079real_c @ SV184 @ SV487 )
            = ( produc394644079real_c @ SV724 @ SV887 ) )
          | ~ ( ( SV184 != SV724 )
              | ( SV487 != SV887 ) ) )
        = $false )
      | ( ( ~ ( ( ( produc394644079real_c @ SV184 @ SV487 )
               != ( produc394644079real_c @ SV724 @ SV887 ) )
              | ~ ~ ( ( SV184 != SV724 )
                    | ( SV487 != SV887 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3242]) ).

thf(3584,plain,
    ! [SV186: set_Sum_sum_c_c,SV489: sum_sum_c_c > sum_sum_c_d,SV726: sum_sum_c_c > set_Sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sK34_SY2469 @ SV726 @ SV489 @ SV186 ) @ SV186 ) )
        = $false )
      | ( ( member318754689um_c_d @ SV489 @ ( pi_Sum261268376um_c_d @ SV186 @ SV726 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3243]) ).

thf(3585,plain,
    ! [SV186: set_Sum_sum_c_c,SV726: sum_sum_c_c > set_Sum_sum_c_d,SV489: sum_sum_c_c > sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ ( SV489 @ ( sK34_SY2469 @ SV726 @ SV489 @ SV186 ) ) @ ( SV726 @ ( sK34_SY2469 @ SV726 @ SV489 @ SV186 ) ) )
        = $false )
      | ( ( member318754689um_c_d @ SV489 @ ( pi_Sum261268376um_c_d @ SV186 @ SV726 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3243]) ).

thf(3586,plain,
    ! [SV888: finite1398487019real_c,SV727: produc190496183real_c,SV491: oDE_a_c,SV188: denota231621370t_unit] :
      ( ( denota1997846518gree_c @ ( denota161327353_a_b_c @ SV188 @ SV491 @ SV727 @ SV888 ) @ SV727 @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ SV188 @ SV491 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3244]) ).

thf(3587,plain,
    ! [SV888: finite1398487019real_c,SV727: produc190496183real_c,SV491: oDE_a_c,SV188: denota231621370t_unit] :
      ( ( denota1997846518gree_c @ ( denota161327353_a_b_c @ SV188 @ SV491 @ SV727 @ SV888 ) @ ( denota1896987029_a_b_c @ SV188 @ SV491 @ SV888 ) @ ( denota1293057250_a_b_c @ SV188 @ SV491 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3245]) ).

thf(3588,plain,
    ! [SV889: set_Sum_sum_c_c,SV494: set_Sum_sum_c_c] :
      ( ( ( ( ord_le1772180283um_c_c @ SV494 @ SV889 )
          | ! [SY2635: sum_sum_c_c] :
              ( ~ ( member_Sum_sum_c_c @ SY2635 @ SV494 )
              | ( member_Sum_sum_c_c @ SY2635 @ SV889 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV494 @ SV889 )
              | ~ ! [SY2635: sum_sum_c_c] :
                    ( ~ ( member_Sum_sum_c_c @ SY2635 @ SV494 )
                    | ( member_Sum_sum_c_c @ SY2635 @ SV889 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3246]) ).

thf(3589,plain,
    ! [SV496: set_Sum_sum_c_c,SV193: sum_sum_c_c,SV890: sum_sum_c_c > c,SV730: c] :
      ( ( ( SV730
         != ( SV890 @ SV193 ) )
        = $true )
      | ( ( member_c @ SV730 @ ( image_Sum_sum_c_c_c @ SV890 @ SV496 ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ SV193 @ SV496 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3247]) ).

thf(3590,plain,
    ! [SV194: set_Sum_sum_c_c,SV497: sum_sum_c_c > c,SV731: set_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sK35_SY2473 @ SV731 @ SV497 @ SV194 ) @ SV194 ) )
        = $false )
      | ( ( ord_less_eq_set_c @ ( image_Sum_sum_c_c_c @ SV497 @ SV194 ) @ SV731 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3248]) ).

thf(3591,plain,
    ! [SV194: set_Sum_sum_c_c,SV731: set_c,SV497: sum_sum_c_c > c] :
      ( ( ( member_c @ ( SV497 @ ( sK35_SY2473 @ SV731 @ SV497 @ SV194 ) ) @ SV731 )
        = $false )
      | ( ( ord_less_eq_set_c @ ( image_Sum_sum_c_c_c @ SV497 @ SV194 ) @ SV731 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3248]) ).

thf(3592,plain,
    ! [SV498: finite1398487019real_c,SV195: finite1398487019real_c,SV891: finite1398487019real_c,SV732: finite1398487019real_c] :
      ( ( ( ~ ( ord_le775706699real_c @ SV732 @ SV891 ) )
        = $true )
      | ( ( ord_le850691415real_c @ ( produc394644079real_c @ SV195 @ SV732 ) @ ( produc394644079real_c @ SV498 @ SV891 ) )
        = $true )
      | ( ( ord_le775706699real_c @ SV195 @ SV498 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3249]) ).

thf(3593,plain,
    ! [SV733: set_Sum_sum_c_d,SV499: sum_sum_c_d > sum_sum_c_c,SV196: sum_sum_c_c] :
      ( ( ( ( SV196
           != ( SV499 @ ( sK68_SY2475 @ SV733 @ SV499 @ SV196 ) ) )
          | ~ ( member_Sum_sum_c_d @ ( sK68_SY2475 @ SV733 @ SV499 @ SV196 ) @ SV733 ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ SV196 @ ( image_1558941394um_c_c @ SV499 @ SV733 ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[3250]) ).

thf(3594,plain,
    ! [SV197: set_c,SV500: c > real > finite1398487019real_c,SV734: c > set_re2066790124real_c] :
      ( ( ( ~ ( member_c @ ( sK36_SY2476 @ SV734 @ SV500 @ SV197 ) @ SV197 ) )
        = $false )
      | ( ( member469531344real_c @ SV500 @ ( pi_c_r41638571real_c @ SV197 @ SV734 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3251]) ).

thf(3595,plain,
    ! [SV197: set_c,SV734: c > set_re2066790124real_c,SV500: c > real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ ( SV500 @ ( sK36_SY2476 @ SV734 @ SV500 @ SV197 ) ) @ ( SV734 @ ( sK36_SY2476 @ SV734 @ SV500 @ SV197 ) ) )
        = $false )
      | ( ( member469531344real_c @ SV500 @ ( pi_c_r41638571real_c @ SV197 @ SV734 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3251]) ).

thf(3596,plain,
    ! [SV892: set_Sum_sum_c_c,SV501: set_Sum_sum_c_c] :
      ( ( ( ( ord_le1772180283um_c_c @ SV501 @ SV892 )
          | ! [SY2636: sum_sum_c_c] :
              ( ~ ( member_Sum_sum_c_c @ SY2636 @ SV501 )
              | ( member_Sum_sum_c_c @ SY2636 @ SV892 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV501 @ SV892 )
              | ~ ! [SY2636: sum_sum_c_c] :
                    ( ~ ( member_Sum_sum_c_c @ SY2636 @ SV501 )
                    | ( member_Sum_sum_c_c @ SY2636 @ SV892 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3252]) ).

thf(3597,plain,
    ! [SV199: set_c,SV502: set_c] :
      ( ( ( member_c @ ( sK8_SY2117 @ SV502 @ SV199 ) @ SV199 )
        = $true )
      | ( ( ord_less_eq_set_c @ SV199 @ SV502 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3253]) ).

thf(3598,plain,
    ! [SV503: set_Sum_sum_c_d,SV736: sum_sum_c_d > set_c,SV893: sum_sum_c_d,SV200: sum_sum_c_d > c] :
      ( ( ( ~ ~ ( member_c @ ( SV200 @ SV893 ) @ ( SV736 @ SV893 ) ) )
        = $true )
      | ( ( ~ ( member_Sum_sum_c_d @ SV893 @ SV503 ) )
        = $true )
      | ( ( member_Sum_sum_c_d_c @ SV200 @ ( pi_Sum_sum_c_d_c @ SV503 @ SV736 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3255]) ).

thf(3599,plain,
    ! [SV737: real > set_Fi1407883041real_c,SV203: real > finite1398487019real_c,SV506: set_real,SV894: real] :
      ( ( ( ~ ( member_real @ SV894 @ SV506 ) )
        = $true )
      | ( ( member1261661570real_c @ ( SV203 @ SV894 ) @ ( SV737 @ SV894 ) )
        = $true )
      | ( ( member1321351885real_c @ SV203 @ ( pi_rea1111636068real_c @ SV506 @ SV737 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3256]) ).

thf(3600,plain,
    ! [SV204: set_Sum_sum_c_c,SV507: set_Sum_sum_c_c,SV895: produc190496183real_c,SV738: produc190496183real_c] :
      ( ( ( ~ ( denota1997846518gree_c @ SV738 @ SV895 @ SV507 ) )
        = $true )
      | ( ( denota1997846518gree_c @ SV738 @ SV895 @ SV204 )
        = $true )
      | ( ( ord_le1772180283um_c_c @ SV204 @ SV507 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3257]) ).

thf(3601,plain,
    ! [SV739: c > set_re2066790124real_c,SV205: c > real > finite1398487019real_c,SV508: set_c,SV896: c] :
      ( ( ( ~ ( member_c @ SV896 @ SV508 ) )
        = $true )
      | ( ( member1321351885real_c @ ( SV205 @ SV896 ) @ ( SV739 @ SV896 ) )
        = $true )
      | ( ( member469531344real_c @ SV205 @ ( pi_c_r41638571real_c @ SV508 @ SV739 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3258]) ).

thf(3602,plain,
    ! [SV509: set_c,SV206: c,SV897: c > sum_sum_c_c,SV740: sum_sum_c_c] :
      ( ( ( SV740
         != ( SV897 @ SV206 ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ SV740 @ ( image_c_Sum_sum_c_c @ SV897 @ SV509 ) )
        = $true )
      | ( ( member_c @ SV206 @ SV509 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3259]) ).

thf(3603,plain,
    ! [SV510: finite1398487019real_c > $o,SV207: finite1398487019real_c > $o] :
      ( ( ( SV207 @ ( sK9_SY2128 @ SV510 @ SV207 ) )
        = $true )
      | ( ( ord_le1327118209real_c @ ( collec230941376real_c @ SV207 ) @ ( collec230941376real_c @ SV510 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3260]) ).

thf(3604,plain,
    ! [SV511: sum_sum_c_d > sum_sum_c_d,SV208: sum_sum_c_d,SV898: set_Sum_sum_c_d,SV741: sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_d @ SV741 @ SV898 ) )
        = $true )
      | ( ( member_Sum_sum_c_d @ SV208 @ ( image_1567202899um_c_d @ SV511 @ SV898 ) )
        = $true )
      | ( ( SV208
          = ( SV511 @ SV741 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3262]) ).

thf(3605,plain,
    ! [SV209: set_Sum_sum_c_c,SV512: sum_sum_c_c > c,SV742: set_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sK37_SY2484 @ SV742 @ SV512 @ SV209 ) @ SV209 ) )
        = $false )
      | ( ( member_Sum_sum_c_c_c @ SV512
          @ ( pi_Sum_sum_c_c_c @ SV209
            @ ^ [SY2485: sum_sum_c_c] : SV742 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3263]) ).

thf(3606,plain,
    ! [SV209: set_Sum_sum_c_c,SV742: set_c,SV512: sum_sum_c_c > c] :
      ( ( ( member_c @ ( SV512 @ ( sK37_SY2484 @ SV742 @ SV512 @ SV209 ) ) @ SV742 )
        = $false )
      | ( ( member_Sum_sum_c_c_c @ SV512
          @ ( pi_Sum_sum_c_c_c @ SV209
            @ ^ [SY2485: sum_sum_c_c] : SV742 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3263]) ).

thf(3607,plain,
    ! [SV899: set_c,SV514: set_c] :
      ( ( ( ( ord_less_eq_set_c @ SV514 @ SV899 )
          | ! [SY2637: c] :
              ( ~ ( member_c @ SY2637 @ SV514 )
              | ( member_c @ SY2637 @ SV899 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ord_less_eq_set_c @ SV514 @ SV899 )
              | ~ ! [SY2637: c] :
                    ( ~ ( member_c @ SY2637 @ SV514 )
                    | ( member_c @ SY2637 @ SV899 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3264]) ).

thf(3608,plain,
    ! [SV745: real > finite1398487019real_c,SV515: real > finite1398487019real_c,SV212: real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ SV212 @ ( set_or1308937537real_c @ SV515 @ SV745 ) )
        = $false )
      | ( ( ~ ( ~ ( member1321351885real_c @ SV212 @ ( set_or1308937537real_c @ SV515 @ SV745 ) )
              | ~ ~ ( ~ ( ord_le584953750real_c @ SV515 @ SV212 )
                    | ~ ( ord_le584953750real_c @ SV212 @ SV745 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3265]) ).

thf(3609,plain,
    ! [SV745: real > finite1398487019real_c,SV212: real > finite1398487019real_c,SV515: real > finite1398487019real_c] :
      ( ( ( ~ ( ~ ( ord_le584953750real_c @ SV515 @ SV212 )
              | ~ ( ord_le584953750real_c @ SV212 @ SV745 ) ) )
        = $false )
      | ( ( ~ ( ~ ( member1321351885real_c @ SV212 @ ( set_or1308937537real_c @ SV515 @ SV745 ) )
              | ~ ~ ( ~ ( ord_le584953750real_c @ SV515 @ SV212 )
                    | ~ ( ord_le584953750real_c @ SV212 @ SV745 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3265]) ).

thf(3610,plain,
    ! [SV213: c > sum_sum_c_d,SV516: set_c,SV746: sum_sum_c_d > $o] :
      ( ( ( ~ ( member_Sum_sum_c_d @ ( sK38_SY2489 @ SV746 @ SV516 @ SV213 ) @ ( image_c_Sum_sum_c_d @ SV213 @ SV516 ) ) )
        = $false )
      | ( ( ! [SY2490: c] :
              ( ~ ( member_c @ SY2490 @ SV516 )
              | ( SV746 @ ( SV213 @ SY2490 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3266]) ).

thf(3611,plain,
    ! [SV213: c > sum_sum_c_d,SV516: set_c,SV746: sum_sum_c_d > $o] :
      ( ( ( SV746 @ ( sK38_SY2489 @ SV746 @ SV516 @ SV213 ) )
        = $false )
      | ( ( ! [SY2490: c] :
              ( ~ ( member_c @ SY2490 @ SV516 )
              | ( SV746 @ ( SV213 @ SY2490 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3266]) ).

thf(3612,plain,
    ! [SV747: set_c,SV517: c > sum_sum_c_c,SV214: sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ SV214 @ ( image_c_Sum_sum_c_c @ SV517 @ SV747 ) )
        = $false )
      | ( ( ~ ( ~ ( member_Sum_sum_c_c @ SV214 @ ( image_c_Sum_sum_c_c @ SV517 @ SV747 ) )
              | ~ ~ ! [SY2491: c] :
                      ~ ~ ( ~ ( member_c @ SY2491 @ SV747 )
                          | ( SV214
                           != ( SV517 @ SY2491 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3267]) ).

thf(3613,plain,
    ! [SV517: c > sum_sum_c_c,SV214: sum_sum_c_c,SV747: set_c] :
      ( ( ( ~ ! [SY2491: c] :
                ~ ~ ( ~ ( member_c @ SY2491 @ SV747 )
                    | ( SV214
                     != ( SV517 @ SY2491 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( member_Sum_sum_c_c @ SV214 @ ( image_c_Sum_sum_c_c @ SV517 @ SV747 ) )
              | ~ ~ ! [SY2491: c] :
                      ~ ~ ( ~ ( member_c @ SY2491 @ SV747 )
                          | ( SV214
                           != ( SV517 @ SY2491 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3267]) ).

thf(3614,plain,
    ! [SV748: c > set_c,SV215: c > c,SV518: set_c,SV900: c] :
      ( ( ( ~ ( member_c @ SV900 @ SV518 ) )
        = $true )
      | ( ( member_c @ ( SV215 @ SV900 ) @ ( SV748 @ SV900 ) )
        = $true )
      | ( ( member_c_c @ SV215 @ ( pi_c_c @ SV518 @ SV748 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3268]) ).

thf(3615,plain,
    ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) ) )
      = $false )
    | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $true )
    | ( ( ~ ( ~ ( ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
                | ( ( finite772340578real_c
                    @ ( produc2010422875real_c
                      @ ( denota161327353_a_b_c @ i @ oDEa
                        @ ( produc394644079real_c
                          @ ( finite557796307c_real
                            @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                          @ bb )
                        @ ( finite557796307c_real
                          @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
                    @ i2 )
                  = ( finite772340578real_c @ ( sol @ zero_zero_real ) @ i2 ) ) )
            | ~ ( ~ ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
                | ( ( finite772340578real_c
                    @ ( produc2010422875real_c
                      @ ( denota161327353_a_b_c @ i @ oDEa
                        @ ( produc394644079real_c
                          @ ( finite557796307c_real
                            @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                          @ bb )
                        @ ( finite557796307c_real
                          @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
                    @ i2 )
                  = ( finite772340578real_c @ ab @ i2 ) ) ) ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3269]) ).

thf(3616,plain,
    ! [SV216: set_Sum_sum_c_c,SV519: sum_sum_c_c > sum_sum_c_c,SV749: sum_sum_c_c > set_Sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sK39_SY2493 @ SV749 @ SV519 @ SV216 ) @ SV216 ) )
        = $false )
      | ( ( member1326674048um_c_c @ SV519 @ ( pi_Sum253006871um_c_c @ SV216 @ SV749 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3270]) ).

thf(3617,plain,
    ! [SV216: set_Sum_sum_c_c,SV749: sum_sum_c_c > set_Sum_sum_c_c,SV519: sum_sum_c_c > sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ ( SV519 @ ( sK39_SY2493 @ SV749 @ SV519 @ SV216 ) ) @ ( SV749 @ ( sK39_SY2493 @ SV749 @ SV519 @ SV216 ) ) )
        = $false )
      | ( ( member1326674048um_c_c @ SV519 @ ( pi_Sum253006871um_c_c @ SV216 @ SV749 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3270]) ).

thf(3618,plain,
    ! [SV218: set_real,SV521: real > finite1398487019real_c,SV751: real > set_Fi1407883041real_c] :
      ( ( ( ~ ( member_real @ ( sK40_SY2494 @ SV751 @ SV521 @ SV218 ) @ SV218 ) )
        = $false )
      | ( ( member1321351885real_c @ SV521 @ ( pi_rea1111636068real_c @ SV218 @ SV751 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3271]) ).

thf(3619,plain,
    ! [SV218: set_real,SV751: real > set_Fi1407883041real_c,SV521: real > finite1398487019real_c] :
      ( ( ( member1261661570real_c @ ( SV521 @ ( sK40_SY2494 @ SV751 @ SV521 @ SV218 ) ) @ ( SV751 @ ( sK40_SY2494 @ SV751 @ SV521 @ SV218 ) ) )
        = $false )
      | ( ( member1321351885real_c @ SV521 @ ( pi_rea1111636068real_c @ SV218 @ SV751 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3271]) ).

thf(3620,plain,
    ! [SV522: sum_sum_c_d > sum_sum_c_c,SV219: sum_sum_c_c,SV901: set_Sum_sum_c_d,SV752: sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_d @ SV752 @ SV901 ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ SV219 @ ( image_1558941394um_c_c @ SV522 @ SV901 ) )
        = $true )
      | ( ( SV219
          = ( SV522 @ SV752 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3272]) ).

thf(3621,plain,
    ! [SV523: set_Sum_sum_c_c,SV220: sum_sum_c_c,SV902: sum_sum_c_c > sum_sum_c_c,SV753: sum_sum_c_c] :
      ( ( ( SV753
         != ( SV902 @ SV220 ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ SV753 @ ( image_666880337um_c_c @ SV902 @ SV523 ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ SV220 @ SV523 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3273]) ).

thf(3622,plain,
    ! [SV221: set_c,SV903: c > sum_sum_c_c,SV754: c > sum_sum_c_c,SV524: set_c] :
      ( ( ( ~ ! [SY2638: c] :
                ( ~ ( member_c @ SY2638 @ SV524 )
                | ( ( SV754 @ SY2638 )
                  = ( SV903 @ SY2638 ) ) ) )
        = $true )
      | ( ( ( image_c_Sum_sum_c_c @ SV754 @ SV221 )
          = ( image_c_Sum_sum_c_c @ SV903 @ SV524 ) )
        = $true )
      | ( ( SV221 = SV524 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3274]) ).

thf(3623,plain,
    ! [SV222: set_c,SV525: set_c,SV904: finite1398487019real_c,SV755: finite1398487019real_c] :
      ( ( ( ~ ( denota256060419gree_c @ SV755 @ SV904 @ SV525 ) )
        = $true )
      | ( ( denota256060419gree_c @ SV755 @ SV904 @ SV222 )
        = $true )
      | ( ( ord_less_eq_set_c @ SV222 @ SV525 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3275]) ).

thf(3624,plain,
    ! [SV756: set_c,SV526: c > sum_sum_c_c,SV223: sum_sum_c_c] :
      ( ( ( ( SV223
           != ( SV526 @ ( sK69_SY2500 @ SV756 @ SV526 @ SV223 ) ) )
          | ~ ( member_c @ ( sK69_SY2500 @ SV756 @ SV526 @ SV223 ) @ SV756 ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ SV223 @ ( image_c_Sum_sum_c_c @ SV526 @ SV756 ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[3276]) ).

thf(3625,plain,
    ! [SV758: sum_sum_c_c > set_Sum_sum_c_c,SV225: sum_sum_c_c > sum_sum_c_c,SV528: set_Sum_sum_c_c,SV905: sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ SV905 @ SV528 ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( SV225 @ SV905 ) @ ( SV758 @ SV905 ) )
        = $true )
      | ( ( member1326674048um_c_c @ SV225 @ ( pi_Sum253006871um_c_c @ SV528 @ SV758 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3277]) ).

thf(3626,plain,
    ! [SV529: set_Sum_sum_c_c,SV226: set_Sum_sum_c_c,SV759: sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ SV759 @ SV226 )
        = $false )
      | ( ( member_Sum_sum_c_c @ SV759 @ SV529 )
        = $true )
      | ( ( ord_le1772180283um_c_c @ SV226 @ SV529 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3278]) ).

thf(3627,plain,
    ! [SV906: real,SV760: real,SV530: real,SV227: real] :
      ( ( ( ( ord_le1342644953l_real @ ( produc705216881l_real @ SV227 @ SV530 ) @ ( produc705216881l_real @ SV760 @ SV906 ) )
          | ~ ( ~ ( ord_less_eq_real @ SV227 @ SV760 )
              | ~ ( ord_less_eq_real @ SV530 @ SV906 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le1342644953l_real @ ( produc705216881l_real @ SV227 @ SV530 ) @ ( produc705216881l_real @ SV760 @ SV906 ) )
              | ~ ~ ( ~ ( ord_less_eq_real @ SV227 @ SV760 )
                    | ~ ( ord_less_eq_real @ SV530 @ SV906 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3279]) ).

thf(3628,plain,
    ! [SV532: real,SV229: real,SV907: real,SV761: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV761 @ SV907 ) )
        = $true )
      | ( ( ord_le1342644953l_real @ ( produc705216881l_real @ SV229 @ SV761 ) @ ( produc705216881l_real @ SV532 @ SV907 ) )
        = $true )
      | ( ( ord_less_eq_real @ SV229 @ SV532 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3280]) ).

thf(3629,plain,
    ! [SV762: set_c,SV230: set_Sum_sum_c_d,SV533: c > sum_sum_c_d] :
      ( ( ( ~ ( ord_less_eq_set_c @ ( sK70_SY2504 @ SV533 @ SV230 @ SV762 ) @ SV762 )
          | ( SV230
           != ( image_c_Sum_sum_c_d @ SV533 @ ( sK70_SY2504 @ SV533 @ SV230 @ SV762 ) ) ) )
        = $false )
      | ( ( ord_le764260924um_c_d @ SV230 @ ( image_c_Sum_sum_c_d @ SV533 @ SV762 ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[3281]) ).

thf(3630,plain,
    ! [SV908: set_Sum_sum_c_d,SV534: set_Sum_sum_c_d] :
      ( ( ( ( ord_le764260924um_c_d @ SV534 @ SV908 )
          | ! [SY2639: sum_sum_c_d] :
              ( ~ ( member_Sum_sum_c_d @ SY2639 @ SV534 )
              | ( member_Sum_sum_c_d @ SY2639 @ SV908 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le764260924um_c_d @ SV534 @ SV908 )
              | ~ ! [SY2639: sum_sum_c_d] :
                    ( ~ ( member_Sum_sum_c_d @ SY2639 @ SV534 )
                    | ( member_Sum_sum_c_d @ SY2639 @ SV908 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3282]) ).

thf(3631,plain,
    ! [SV909: set_c,SV536: set_c] :
      ( ( ( ( ord_less_eq_set_c @ SV536 @ SV909 )
          | ! [SY2640: c] :
              ( ~ ( member_c @ SY2640 @ SV536 )
              | ( member_c @ SY2640 @ SV909 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ord_less_eq_set_c @ SV536 @ SV909 )
              | ~ ! [SY2640: c] :
                    ( ~ ( member_c @ SY2640 @ SV536 )
                    | ( member_c @ SY2640 @ SV909 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3283]) ).

thf(3632,plain,
    ! [SV766: set_re2066790124real_c,SV537: ( real > finite1398487019real_c ) > c,SV234: c] :
      ( ( ( ( SV234
           != ( SV537 @ ( sK71_SY2509 @ SV766 @ SV537 @ SV234 ) ) )
          | ~ ( member1321351885real_c @ ( sK71_SY2509 @ SV766 @ SV537 @ SV234 ) @ SV766 ) )
        = $false )
      | ( ( member_c @ SV234 @ ( image_266490115al_c_c @ SV537 @ SV766 ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[3284]) ).

thf(3633,plain,
    ! [SV767: sum_sum_c_c > $o,SV538: set_c,SV235: c > sum_sum_c_c,SV966: sum_sum_c_c] :
      ( ( ( ~ ~ ( ~ ( member_Sum_sum_c_c @ SV966 @ ( image_c_Sum_sum_c_c @ SV235 @ SV538 ) )
                | ~ ( SV767 @ SV966 ) ) )
        = $true )
      | ( ( ~ ! [SY2511: c] :
                ~ ~ ( ~ ( member_c @ SY2511 @ SV538 )
                    | ~ ( SV767 @ ( SV235 @ SY2511 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3285]) ).

thf(3634,plain,
    ! [SV237: set_c,SV540: c > sum_sum_c_d,SV768: c > set_Sum_sum_c_d] :
      ( ( ( ~ ( member_c @ ( sK41_SY2512 @ SV768 @ SV540 @ SV237 ) @ SV237 ) )
        = $false )
      | ( ( member_c_Sum_sum_c_d @ SV540 @ ( pi_c_Sum_sum_c_d @ SV237 @ SV768 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3286]) ).

thf(3635,plain,
    ! [SV237: set_c,SV768: c > set_Sum_sum_c_d,SV540: c > sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ ( SV540 @ ( sK41_SY2512 @ SV768 @ SV540 @ SV237 ) ) @ ( SV768 @ ( sK41_SY2512 @ SV768 @ SV540 @ SV237 ) ) )
        = $false )
      | ( ( member_c_Sum_sum_c_d @ SV540 @ ( pi_c_Sum_sum_c_d @ SV237 @ SV768 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3286]) ).

thf(3636,plain,
    ! [SV541: sum_sum_c_c > c,SV238: c,SV910: set_Sum_sum_c_c,SV769: sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ SV769 @ SV910 ) )
        = $true )
      | ( ( member_c @ SV238 @ ( image_Sum_sum_c_c_c @ SV541 @ SV910 ) )
        = $true )
      | ( ( SV238
          = ( SV541 @ SV769 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3287]) ).

thf(3637,plain,
    ! [SV911: set_c,SV770: c,SV542: c > real > finite1398487019real_c,SV239: real > finite1398487019real_c] :
      ( ( ( ! [SV967: real] :
              ( ( SV239 @ SV967 )
              = ( SV542 @ SV770 @ SV967 ) ) )
        = $false )
      | ( ( ~ ( member_c @ SV770 @ SV911 )
          | ( member1321351885real_c @ SV239 @ ( image_1226855921real_c @ SV542 @ SV911 ) ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[3288]) ).

thf(3638,plain,
    ! [SV911: set_c,SV770: c,SV542: c > real > finite1398487019real_c,SV239: real > finite1398487019real_c] :
      ( ( ( SV239
          = ( SV542 @ SV770 ) )
        = $false )
      | ( ( ~ ( member_c @ SV770 @ SV911 )
          | ( member1321351885real_c @ SV239 @ ( image_1226855921real_c @ SV542 @ SV911 ) ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[3288]) ).

thf(3639,plain,
    ! [SV771: sum_sum_c_d > set_Sum_sum_c_c,SV240: sum_sum_c_d > sum_sum_c_c,SV543: set_Sum_sum_c_d,SV912: sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_d @ SV912 @ SV543 ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( SV240 @ SV912 ) @ ( SV771 @ SV912 ) )
        = $true )
      | ( ( member71251457um_c_c @ SV240 @ ( pi_Sum1145067928um_c_c @ SV543 @ SV771 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3289]) ).

thf(3640,plain,
    ! [SV241: set_c,SV544: c > sum_sum_c_d,SV772: set_Sum_sum_c_d] :
      ( ( ( ~ ( member_c @ ( sK42_SY2516 @ SV772 @ SV544 @ SV241 ) @ SV241 ) )
        = $false )
      | ( ( member_c_Sum_sum_c_d @ SV544
          @ ( pi_c_Sum_sum_c_d @ SV241
            @ ^ [SY2517: c] : SV772 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3290]) ).

thf(3641,plain,
    ! [SV241: set_c,SV772: set_Sum_sum_c_d,SV544: c > sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ ( SV544 @ ( sK42_SY2516 @ SV772 @ SV544 @ SV241 ) ) @ SV772 )
        = $false )
      | ( ( member_c_Sum_sum_c_d @ SV544
          @ ( pi_c_Sum_sum_c_d @ SV241
            @ ^ [SY2517: c] : SV772 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3290]) ).

thf(3642,plain,
    ! [SV545: set_Sum_sum_c_d,SV242: sum_sum_c_d,SV913: sum_sum_c_d > c,SV773: c] :
      ( ( ( SV773
         != ( SV913 @ SV242 ) )
        = $true )
      | ( ( member_c @ SV773 @ ( image_Sum_sum_c_d_c @ SV913 @ SV545 ) )
        = $true )
      | ( ( member_Sum_sum_c_d @ SV242 @ SV545 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3291]) ).

thf(3643,plain,
    ! [SV243: set_Sum_sum_c_c,SV546: sum_sum_c_c > sum_sum_c_d,SV774: set_Sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sK43_SY2519 @ SV774 @ SV546 @ SV243 ) @ SV243 ) )
        = $false )
      | ( ( member318754689um_c_d @ SV546
          @ ( pi_Sum261268376um_c_d @ SV243
            @ ^ [SY2520: sum_sum_c_c] : SV774 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3292]) ).

thf(3644,plain,
    ! [SV243: set_Sum_sum_c_c,SV774: set_Sum_sum_c_d,SV546: sum_sum_c_c > sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ ( SV546 @ ( sK43_SY2519 @ SV774 @ SV546 @ SV243 ) ) @ SV774 )
        = $false )
      | ( ( member318754689um_c_d @ SV546
          @ ( pi_Sum261268376um_c_d @ SV243
            @ ^ [SY2520: sum_sum_c_c] : SV774 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3292]) ).

thf(3645,plain,
    ! [SV547: set_Sum_sum_c_c,SV244: set_Sum_sum_c_c,SV775: sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ SV775 @ SV244 )
        = $false )
      | ( ( member_Sum_sum_c_c @ SV775 @ SV547 )
        = $true )
      | ( ( ord_le1772180283um_c_c @ SV244 @ SV547 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3293]) ).

thf(3646,plain,
    ! [SV914: produc190496183real_c,SV548: produc190496183real_c] :
      ( ( ( ( ord_le850691415real_c @ SV548 @ SV914 )
          | ~ ( ~ ( ord_le775706699real_c @ ( produc2010422875real_c @ SV548 ) @ ( produc2010422875real_c @ SV914 ) )
              | ~ ( ord_le775706699real_c @ ( produc314122909real_c @ SV548 ) @ ( produc314122909real_c @ SV914 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le850691415real_c @ SV548 @ SV914 )
              | ~ ~ ( ~ ( ord_le775706699real_c @ ( produc2010422875real_c @ SV548 ) @ ( produc2010422875real_c @ SV914 ) )
                    | ~ ( ord_le775706699real_c @ ( produc314122909real_c @ SV548 ) @ ( produc314122909real_c @ SV914 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3294]) ).

thf(3647,plain,
    ! [SV777: sum_sum_c_c > set_Sum_sum_c_d,SV247: sum_sum_c_c > sum_sum_c_d,SV550: set_Sum_sum_c_c,SV915: sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ SV915 @ SV550 ) )
        = $true )
      | ( ( member_Sum_sum_c_d @ ( SV247 @ SV915 ) @ ( SV777 @ SV915 ) )
        = $true )
      | ( ( member318754689um_c_d @ SV247 @ ( pi_Sum261268376um_c_d @ SV550 @ SV777 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3295]) ).

thf(3648,plain,
    ! [SV778: set_Pr1389752855real_c,SV248: ( real > finite1398487019real_c ) > produc190496183real_c,SV551: set_re2066790124real_c,SV916: real > finite1398487019real_c] :
      ( ( ( ~ ( member1321351885real_c @ SV916 @ SV551 ) )
        = $true )
      | ( ( member1895684704real_c @ ( SV248 @ SV916 ) @ SV778 )
        = $true )
      | ( ( member954762593real_c @ SV248
          @ ( pi_rea1379668980real_c @ SV551
            @ ^ [SY2523: real > finite1398487019real_c] : SV778 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3296]) ).

thf(3649,plain,
    ! [SV249: set_c,SV552: c > real > finite1398487019real_c,SV779: set_re2066790124real_c] :
      ( ( ( ~ ( member_c @ ( sK44_SY2524 @ SV779 @ SV552 @ SV249 ) @ SV249 ) )
        = $false )
      | ( ( ord_le35002188real_c @ ( image_1226855921real_c @ SV552 @ SV249 ) @ SV779 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3297]) ).

thf(3650,plain,
    ! [SV249: set_c,SV779: set_re2066790124real_c,SV552: c > real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ ( SV552 @ ( sK44_SY2524 @ SV779 @ SV552 @ SV249 ) ) @ SV779 )
        = $false )
      | ( ( ord_le35002188real_c @ ( image_1226855921real_c @ SV552 @ SV249 ) @ SV779 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3297]) ).

thf(3651,plain,
    ! [SV553: c > $o,SV250: c > $o] :
      ( ( ( ~ ( ord_less_eq_set_c @ ( collect_c @ SV250 ) @ ( collect_c @ SV553 ) )
          | ~ ! [SY2211: c] :
                ( ~ ( SV250 @ SY2211 )
                | ( SV553 @ SY2211 ) ) )
        = $false )
      | ( ( ord_less_eq_set_c @ ( collect_c @ SV250 ) @ ( collect_c @ SV553 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3298]) ).

thf(3652,plain,
    ! [SV553: c > $o,SV250: c > $o] :
      ( ( ( ~ ( SV250 @ ( sK72_SY2211 @ SV553 @ SV250 ) )
          | ( SV553 @ ( sK72_SY2211 @ SV553 @ SV250 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ord_less_eq_set_c @ ( collect_c @ SV250 ) @ ( collect_c @ SV553 ) )
              | ~ ! [SY2211: c] :
                    ( ~ ( SV250 @ SY2211 )
                    | ( SV553 @ SY2211 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[3299]) ).

thf(3653,plain,
    ! [SV251: set_re2066790124real_c,SV554: set_re2066790124real_c] :
      ( ( ( member1321351885real_c @ ( sK10_SY2212 @ SV554 @ SV251 ) @ SV251 )
        = $true )
      | ( ( ord_le35002188real_c @ SV251 @ SV554 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3300]) ).

thf(3654,plain,
    ( ( ( p != phi )
      = $true )
    | ( ( ~ ( ord_less_eq_real @ zero_zero_real @ t )
        | ( ( produc394644079real_c @ aa @ ba )
         != ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
        | ~ ( initia1631504802real_c @ sol
            @ ^ [SX0: real] : ( denota1275485728_a_b_c @ i @ oDEa )
            @ ( set_or656347191t_real @ zero_zero_real @ t )
            @ ( collec230941376real_c
              @ ^ [SX0: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ SX0 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) )
        | ~ ( denota256060419gree_c @ ( sol @ zero_zero_real ) @ ab
            @ ( collect_c
              @ ^ [SX0: c] :
                  ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_BVO_a_c @ oDEa ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( static_FVO_a_c @ oDEa ) ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_FVF_a_b_c @ phi ) ) ) ) )
        | ( ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) )
          = ( denota161327353_a_b_c @ i @ oDEa
            @ ( produc394644079real_c
              @ ( finite557796307c_real
                @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
              @ bb )
            @ ( finite557796307c_real
              @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ t ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) ) )
      = $true )
    | ( ( ode = oDEa )
      = $false )
    | ( ( fsafe_a_b_c @ phi )
      = $false )
    | ( ( osafe_a_c @ oDEa )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3302]) ).

thf(3655,plain,
    ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) ) )
      = $false )
    | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $true )
    | ( ( ( finite772340578real_c @ ( produc2010422875real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) ) @ i2 )
        = ( finite772340578real_c @ ab @ i2 ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3303]) ).

thf(3656,plain,
    ! [SV556: c > $o,SV253: c > $o] :
      ( ( ( ~ ( ( SV253 @ ( sK11_SY2213 @ SV556 @ SV253 ) )
              | ( SV556 @ ( sK11_SY2213 @ SV556 @ SV253 ) ) ) )
        = $false )
      | ( ( ( collect_c @ SV253 )
          = ( collect_c @ SV556 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3304]) ).

thf(3657,plain,
    ! [SV556: c > $o,SV253: c > $o] :
      ( ( ( ~ ( ~ ( SV253 @ ( sK11_SY2213 @ SV556 @ SV253 ) )
              | ~ ( SV556 @ ( sK11_SY2213 @ SV556 @ SV253 ) ) ) )
        = $false )
      | ( ( ( collect_c @ SV253 )
          = ( collect_c @ SV556 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3304]) ).

thf(3658,plain,
    ! [SV254: set_Sum_sum_c_d,SV557: sum_sum_c_d > c,SV780: sum_sum_c_d > set_c] :
      ( ( ( ~ ( member_Sum_sum_c_d @ ( sK45_SY2525 @ SV780 @ SV557 @ SV254 ) @ SV254 ) )
        = $false )
      | ( ( member_Sum_sum_c_d_c @ SV557 @ ( pi_Sum_sum_c_d_c @ SV254 @ SV780 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3306]) ).

thf(3659,plain,
    ! [SV254: set_Sum_sum_c_d,SV780: sum_sum_c_d > set_c,SV557: sum_sum_c_d > c] :
      ( ( ( member_c @ ( SV557 @ ( sK45_SY2525 @ SV780 @ SV557 @ SV254 ) ) @ ( SV780 @ ( sK45_SY2525 @ SV780 @ SV557 @ SV254 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_d_c @ SV557 @ ( pi_Sum_sum_c_d_c @ SV254 @ SV780 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3306]) ).

thf(3660,plain,
    ! [SV255: set_Sum_sum_c_c,SV558: sum_sum_c_c > sum_sum_c_c,SV781: set_Sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sK46_SY2526 @ SV781 @ SV558 @ SV255 ) @ SV255 ) )
        = $false )
      | ( ( ord_le1772180283um_c_c @ ( image_666880337um_c_c @ SV558 @ SV255 ) @ SV781 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3307]) ).

thf(3661,plain,
    ! [SV255: set_Sum_sum_c_c,SV781: set_Sum_sum_c_c,SV558: sum_sum_c_c > sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ ( SV558 @ ( sK46_SY2526 @ SV781 @ SV558 @ SV255 ) ) @ SV781 )
        = $false )
      | ( ( ord_le1772180283um_c_c @ ( image_666880337um_c_c @ SV558 @ SV255 ) @ SV781 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3307]) ).

thf(3662,plain,
    ! [SV559: set_c,SV256: c,SV917: c > c,SV782: c] :
      ( ( ( SV782
         != ( SV917 @ SV256 ) )
        = $true )
      | ( ( member_c @ SV782 @ ( image_c_c @ SV917 @ SV559 ) )
        = $true )
      | ( ( member_c @ SV256 @ SV559 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3308]) ).

thf(3663,plain,
    ! [SV561: sum_sum_c_d > c,SV258: c,SV918: set_Sum_sum_c_d,SV784: sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_d @ SV784 @ SV918 ) )
        = $true )
      | ( ( member_c @ SV258 @ ( image_Sum_sum_c_d_c @ SV561 @ SV918 ) )
        = $true )
      | ( ( SV258
          = ( SV561 @ SV784 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3309]) ).

thf(3664,plain,
    ( ( ( p != phi )
      = $true )
    | ( ( ~ ( ord_less_eq_real @ zero_zero_real @ t )
        | ( ( produc394644079real_c @ aa @ ba )
         != ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
        | ~ ( initia1631504802real_c @ sol
            @ ^ [SX0: real] : ( denota1275485728_a_b_c @ i @ oDEa )
            @ ( set_or656347191t_real @ zero_zero_real @ t )
            @ ( collec230941376real_c
              @ ^ [SX0: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ SX0 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) )
        | ~ ( denota256060419gree_c @ ( sol @ zero_zero_real ) @ ab
            @ ( collect_c
              @ ^ [SX0: c] :
                  ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_BVO_a_c @ oDEa ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( static_FVO_a_c @ oDEa ) ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_FVF_a_b_c @ phi ) ) ) ) )
        | ( ord_less_eq_real @ zero_zero_real @ t ) )
      = $true )
    | ( ( ode = oDEa )
      = $false )
    | ( ( fsafe_a_b_c @ phi )
      = $false )
    | ( ( osafe_a_c @ oDEa )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3310]) ).

thf(3665,plain,
    ! [SV563: set_Sum_sum_c_c,SV260: sum_sum_c_c,SV919: sum_sum_c_c > sum_sum_c_d,SV786: sum_sum_c_d] :
      ( ( ( SV786
         != ( SV919 @ SV260 ) )
        = $true )
      | ( ( member_Sum_sum_c_d @ SV786 @ ( image_675141842um_c_d @ SV919 @ SV563 ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ SV260 @ SV563 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3311]) ).

thf(3666,plain,
    ! [SV261: set_Sum_sum_c_d,SV564: sum_sum_c_d > c,SV787: set_c] :
      ( ( ( ~ ( member_Sum_sum_c_d @ ( sK47_SY2532 @ SV787 @ SV564 @ SV261 ) @ SV261 ) )
        = $false )
      | ( ( member_Sum_sum_c_d_c @ SV564
          @ ( pi_Sum_sum_c_d_c @ SV261
            @ ^ [SY2533: sum_sum_c_d] : SV787 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3312]) ).

thf(3667,plain,
    ! [SV261: set_Sum_sum_c_d,SV787: set_c,SV564: sum_sum_c_d > c] :
      ( ( ( member_c @ ( SV564 @ ( sK47_SY2532 @ SV787 @ SV564 @ SV261 ) ) @ SV787 )
        = $false )
      | ( ( member_Sum_sum_c_d_c @ SV564
          @ ( pi_Sum_sum_c_d_c @ SV261
            @ ^ [SY2533: sum_sum_c_d] : SV787 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3312]) ).

thf(3668,plain,
    ! [SV920: c,SV788: finite1398487019real_c,SV565: finite1398487019real_c,SV262: $o] :
      ( ( ~ SV262
        | ( ( finite772340578real_c @ ( if_Fin36944805real_c @ SV262 @ SV565 @ SV788 ) @ SV920 )
          = ( finite772340578real_c @ SV565 @ SV920 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3313]) ).

thf(3669,plain,
    ! [SV920: c,SV788: finite1398487019real_c,SV565: finite1398487019real_c,SV262: $o] :
      ( ( ~ ~ SV262
        | ( ( finite772340578real_c @ ( if_Fin36944805real_c @ SV262 @ SV565 @ SV788 ) @ SV920 )
          = ( finite772340578real_c @ SV788 @ SV920 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3314]) ).

thf(3670,plain,
    ! [SV921: c,SV789: finite1398487019real_c,SV566: finite1398487019real_c] :
      ( ( ~ $true
        | ( ( finite772340578real_c @ ( if_Fin36944805real_c @ $true @ SV566 @ SV789 ) @ SV921 )
          = ( finite772340578real_c @ SV566 @ SV921 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3315]) ).

thf(3671,plain,
    ! [SV921: c,SV789: finite1398487019real_c,SV566: finite1398487019real_c] :
      ( ( ~ ~ $true
        | ( ( finite772340578real_c @ ( if_Fin36944805real_c @ $true @ SV566 @ SV789 ) @ SV921 )
          = ( finite772340578real_c @ SV789 @ SV921 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3316]) ).

thf(3672,plain,
    ! [SV922: c,SV790: finite1398487019real_c,SV567: finite1398487019real_c] :
      ( ( ~ $false
        | ( ( finite772340578real_c @ ( if_Fin36944805real_c @ $false @ SV567 @ SV790 ) @ SV922 )
          = ( finite772340578real_c @ SV567 @ SV922 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3317]) ).

thf(3673,plain,
    ! [SV922: c,SV790: finite1398487019real_c,SV567: finite1398487019real_c] :
      ( ( ~ ~ $false
        | ( ( finite772340578real_c @ ( if_Fin36944805real_c @ $false @ SV567 @ SV790 ) @ SV922 )
          = ( finite772340578real_c @ SV790 @ SV922 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3318]) ).

thf(3674,plain,
    ! [SV264: set_real,SV569: real > finite1398487019real_c,SV791: set_Fi1407883041real_c] :
      ( ( ( ~ ( member_real @ ( sK48_SY2537 @ SV791 @ SV569 @ SV264 ) @ SV264 ) )
        = $false )
      | ( ( member1321351885real_c @ SV569
          @ ( pi_rea1111636068real_c @ SV264
            @ ^ [SY2538: real] : SV791 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3319]) ).

thf(3675,plain,
    ! [SV264: set_real,SV791: set_Fi1407883041real_c,SV569: real > finite1398487019real_c] :
      ( ( ( member1261661570real_c @ ( SV569 @ ( sK48_SY2537 @ SV791 @ SV569 @ SV264 ) ) @ SV791 )
        = $false )
      | ( ( member1321351885real_c @ SV569
          @ ( pi_rea1111636068real_c @ SV264
            @ ^ [SY2538: real] : SV791 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3319]) ).

thf(3676,plain,
    ! [SV265: set_Sum_sum_c_c,SV570: set_Sum_sum_c_c,SV923: produc190496183real_c,SV792: produc190496183real_c] :
      ( ( ( ~ ( denota1997846518gree_c @ SV792 @ SV923 @ SV570 ) )
        = $true )
      | ( ( denota1997846518gree_c @ SV792 @ SV923 @ SV265 )
        = $true )
      | ( ( ord_le1772180283um_c_c @ SV265 @ SV570 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3320]) ).

thf(3677,plain,
    ! [SV267: set_c,SV572: c > sum_sum_c_c,SV794: c > set_Sum_sum_c_c] :
      ( ( ( ~ ( member_c @ ( sK49_SY2542 @ SV794 @ SV572 @ SV267 ) @ SV267 ) )
        = $false )
      | ( ( member_c_Sum_sum_c_c @ SV572 @ ( pi_c_Sum_sum_c_c @ SV267 @ SV794 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3322]) ).

thf(3678,plain,
    ! [SV267: set_c,SV794: c > set_Sum_sum_c_c,SV572: c > sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ ( SV572 @ ( sK49_SY2542 @ SV794 @ SV572 @ SV267 ) ) @ ( SV794 @ ( sK49_SY2542 @ SV794 @ SV572 @ SV267 ) ) )
        = $false )
      | ( ( member_c_Sum_sum_c_c @ SV572 @ ( pi_c_Sum_sum_c_c @ SV267 @ SV794 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3322]) ).

thf(3679,plain,
    ! [SV268: set_c,SV573: c > sum_sum_c_c,SV795: set_Sum_sum_c_c] :
      ( ( ( ~ ( member_c @ ( sK50_SY2543 @ SV795 @ SV573 @ SV268 ) @ SV268 ) )
        = $false )
      | ( ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV573 @ SV268 ) @ SV795 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3323]) ).

thf(3680,plain,
    ! [SV268: set_c,SV795: set_Sum_sum_c_c,SV573: c > sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ ( SV573 @ ( sK50_SY2543 @ SV795 @ SV573 @ SV268 ) ) @ SV795 )
        = $false )
      | ( ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV573 @ SV268 ) @ SV795 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3323]) ).

thf(3681,plain,
    ! [SV574: set_Sum_sum_c_d,SV269: set_Sum_sum_c_d,SV796: sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ SV796 @ SV269 )
        = $false )
      | ( ( member_Sum_sum_c_d @ SV796 @ SV574 )
        = $true )
      | ( ( ord_le764260924um_c_d @ SV269 @ SV574 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3324]) ).

thf(3682,plain,
    ! [SV575: c > $o,SV270: c > $o] :
      ( ( ( SV270 @ ( sK12_SY2250 @ SV575 @ SV270 ) )
        = $true )
      | ( ( ord_less_eq_set_c @ ( collect_c @ SV270 ) @ ( collect_c @ SV575 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3325]) ).

thf(3683,plain,
    ! [SV925: real,SV797: real,SV576: real,SV271: real] :
      ( ( ( ( ord_less_eq_set_real @ ( set_or656347191t_real @ SV271 @ SV576 ) @ ( set_or656347191t_real @ SV797 @ SV925 ) )
          | ~ ( ord_less_eq_real @ SV271 @ SV576 )
          | ~ ( ~ ( ord_less_eq_real @ SV797 @ SV271 )
              | ~ ( ord_less_eq_real @ SV576 @ SV925 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ord_less_eq_set_real @ ( set_or656347191t_real @ SV271 @ SV576 ) @ ( set_or656347191t_real @ SV797 @ SV925 ) )
              | ~ ( ~ ( ord_less_eq_real @ SV271 @ SV576 )
                  | ~ ( ~ ( ord_less_eq_real @ SV797 @ SV271 )
                      | ~ ( ord_less_eq_real @ SV576 @ SV925 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3327]) ).

thf(3684,plain,
    ! [SV926: set_re2066790124real_c,SV577: set_re2066790124real_c] :
      ( ( ( ( ord_le35002188real_c @ SV577 @ SV926 )
          | ! [SY2643: real > finite1398487019real_c] :
              ( ~ ( member1321351885real_c @ SY2643 @ SV577 )
              | ( member1321351885real_c @ SY2643 @ SV926 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le35002188real_c @ SV577 @ SV926 )
              | ~ ! [SY2643: real > finite1398487019real_c] :
                    ( ~ ( member1321351885real_c @ SY2643 @ SV577 )
                    | ( member1321351885real_c @ SY2643 @ SV926 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3328]) ).

thf(3685,plain,
    ! [SV927: set_Pr1389752855real_c,SV578: set_Pr1389752855real_c] :
      ( ( ( ( ord_le977353143real_c @ SV578 @ SV927 )
          | ! [SY2644: produc190496183real_c] :
              ( ~ ( member1895684704real_c @ SY2644 @ SV578 )
              | ( member1895684704real_c @ SY2644 @ SV927 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le977353143real_c @ SV578 @ SV927 )
              | ~ ! [SY2644: produc190496183real_c] :
                    ( ~ ( member1895684704real_c @ SY2644 @ SV578 )
                    | ( member1895684704real_c @ SY2644 @ SV927 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3329]) ).

thf(3686,plain,
    ! [SV275: set_c,SV580: c > real > finite1398487019real_c,SV801: c > set_re2066790124real_c] :
      ( ( ( ~ ( member_c @ ( sK51_SY2547 @ SV801 @ SV580 @ SV275 ) @ SV275 ) )
        = $false )
      | ( ( member469531344real_c @ SV580 @ ( pi_c_r41638571real_c @ SV275 @ SV801 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3330]) ).

thf(3687,plain,
    ! [SV275: set_c,SV801: c > set_re2066790124real_c,SV580: c > real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ ( SV580 @ ( sK51_SY2547 @ SV801 @ SV580 @ SV275 ) ) @ ( SV801 @ ( sK51_SY2547 @ SV801 @ SV580 @ SV275 ) ) )
        = $false )
      | ( ( member469531344real_c @ SV580 @ ( pi_c_r41638571real_c @ SV275 @ SV801 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3330]) ).

thf(3688,plain,
    ! [SV581: set_c,SV802: c > set_Sum_sum_c_c,SV928: c,SV276: c > sum_sum_c_c] :
      ( ( ( ~ ~ ( member_Sum_sum_c_c @ ( SV276 @ SV928 ) @ ( SV802 @ SV928 ) ) )
        = $true )
      | ( ( ~ ( member_c @ SV928 @ SV581 ) )
        = $true )
      | ( ( member_c_Sum_sum_c_c @ SV276 @ ( pi_c_Sum_sum_c_c @ SV581 @ SV802 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3331]) ).

thf(3689,plain,
    ! [SV277: c] :
      ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SV277 ) @ ( static_BVO_a_c @ oDEa ) )
        | ( ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SV277 )
          = ( finite772340578real_c @ ab @ SV277 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3332]) ).

thf(3690,plain,
    ! [SV277: c] :
      ( ( ~ ( member_Sum_sum_c_d @ ( sum_Inl_c_d @ SV277 ) @ ( image_c_Sum_sum_c_d @ sum_Inl_c_d @ ( static_FVO_a_c @ oDEa ) ) )
        | ( ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SV277 )
          = ( finite772340578real_c @ ab @ SV277 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[3333]) ).

thf(3691,plain,
    ! [SV582: set_Sum_sum_c_c,SV803: sum_sum_c_c > set_Sum_sum_c_c,SV929: sum_sum_c_c,SV278: sum_sum_c_c > sum_sum_c_c] :
      ( ( ( ~ ~ ( member_Sum_sum_c_c @ ( SV278 @ SV929 ) @ ( SV803 @ SV929 ) ) )
        = $true )
      | ( ( ~ ( member_Sum_sum_c_c @ SV929 @ SV582 ) )
        = $true )
      | ( ( member1326674048um_c_c @ SV278 @ ( pi_Sum253006871um_c_c @ SV582 @ SV803 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3335]) ).

thf(3692,plain,
    ! [SV279: set_Sum_sum_c_c,SV583: sum_sum_c_c > sum_sum_c_c,SV804: sum_sum_c_c > set_Sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sK52_SY2550 @ SV804 @ SV583 @ SV279 ) @ SV279 ) )
        = $false )
      | ( ( member1326674048um_c_c @ SV583 @ ( pi_Sum253006871um_c_c @ SV279 @ SV804 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3336]) ).

thf(3693,plain,
    ! [SV279: set_Sum_sum_c_c,SV804: sum_sum_c_c > set_Sum_sum_c_c,SV583: sum_sum_c_c > sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ ( SV583 @ ( sK52_SY2550 @ SV804 @ SV583 @ SV279 ) ) @ ( SV804 @ ( sK52_SY2550 @ SV804 @ SV583 @ SV279 ) ) )
        = $false )
      | ( ( member1326674048um_c_c @ SV583 @ ( pi_Sum253006871um_c_c @ SV279 @ SV804 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3336]) ).

thf(3694,plain,
    ! [SV584: set_Sum_sum_c_c,SV805: sum_sum_c_c > set_c,SV930: sum_sum_c_c,SV280: sum_sum_c_c > c] :
      ( ( ( ~ ~ ( member_c @ ( SV280 @ SV930 ) @ ( SV805 @ SV930 ) ) )
        = $true )
      | ( ( ~ ( member_Sum_sum_c_c @ SV930 @ SV584 ) )
        = $true )
      | ( ( member_Sum_sum_c_c_c @ SV280 @ ( pi_Sum_sum_c_c_c @ SV584 @ SV805 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3337]) ).

thf(3695,plain,
    ! [SV806: set_Sum_sum_c_c,SV585: sum_sum_c_c > sum_sum_c_d,SV281: sum_sum_c_d] :
      ( ( ( ( SV281
           != ( SV585 @ ( sK73_SY2552 @ SV806 @ SV585 @ SV281 ) ) )
          | ~ ( member_Sum_sum_c_c @ ( sK73_SY2552 @ SV806 @ SV585 @ SV281 ) @ SV806 ) )
        = $false )
      | ( ( member_Sum_sum_c_d @ SV281 @ ( image_675141842um_c_d @ SV585 @ SV806 ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[3338]) ).

thf(3696,plain,
    ! [SV282: set_c,SV586: c > sum_sum_c_c,SV807: c > set_Sum_sum_c_c] :
      ( ( ( ~ ( member_c @ ( sK53_SY2553 @ SV807 @ SV586 @ SV282 ) @ SV282 ) )
        = $false )
      | ( ( member_c_Sum_sum_c_c @ SV586 @ ( pi_c_Sum_sum_c_c @ SV282 @ SV807 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3339]) ).

thf(3697,plain,
    ! [SV282: set_c,SV807: c > set_Sum_sum_c_c,SV586: c > sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ ( SV586 @ ( sK53_SY2553 @ SV807 @ SV586 @ SV282 ) ) @ ( SV807 @ ( sK53_SY2553 @ SV807 @ SV586 @ SV282 ) ) )
        = $false )
      | ( ( member_c_Sum_sum_c_c @ SV586 @ ( pi_c_Sum_sum_c_c @ SV282 @ SV807 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3339]) ).

thf(3698,plain,
    ! [SV283: set_c,SV587: set_c,SV931: finite1398487019real_c,SV808: finite1398487019real_c] :
      ( ( ( ~ ( denota256060419gree_c @ SV808 @ SV931 @ SV587 ) )
        = $true )
      | ( ( denota256060419gree_c @ SV808 @ SV931 @ SV283 )
        = $true )
      | ( ( ord_less_eq_set_c @ SV283 @ SV587 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3340]) ).

thf(3699,plain,
    ! [SV809: set_Sum_sum_c_d,SV284: ( real > finite1398487019real_c ) > sum_sum_c_d,SV588: set_re2066790124real_c,SV932: real > finite1398487019real_c] :
      ( ( ( ~ ( member1321351885real_c @ SV932 @ SV588 ) )
        = $true )
      | ( ( member_Sum_sum_c_d @ ( SV284 @ SV932 ) @ SV809 )
        = $true )
      | ( ( member1494186770um_c_d @ SV284
          @ ( pi_rea1508591913um_c_d @ SV588
            @ ^ [SY2556: real > finite1398487019real_c] : SV809 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3341]) ).

thf(3700,plain,
    ! [SV589: set_c,SV285: c,SV933: c > sum_sum_c_d,SV810: sum_sum_c_d] :
      ( ( ( SV810
         != ( SV933 @ SV285 ) )
        = $true )
      | ( ( member_Sum_sum_c_d @ SV810 @ ( image_c_Sum_sum_c_d @ SV933 @ SV589 ) )
        = $true )
      | ( ( member_c @ SV285 @ SV589 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3342]) ).

thf(3701,plain,
    ! [SV286: set_c,SV590: c > c,SV811: c > set_c] :
      ( ( ( ~ ( member_c @ ( sK54_SY2558 @ SV811 @ SV590 @ SV286 ) @ SV286 ) )
        = $false )
      | ( ( member_c_c @ SV590 @ ( pi_c_c @ SV286 @ SV811 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3343]) ).

thf(3702,plain,
    ! [SV286: set_c,SV811: c > set_c,SV590: c > c] :
      ( ( ( member_c @ ( SV590 @ ( sK54_SY2558 @ SV811 @ SV590 @ SV286 ) ) @ ( SV811 @ ( sK54_SY2558 @ SV811 @ SV590 @ SV286 ) ) )
        = $false )
      | ( ( member_c_c @ SV590 @ ( pi_c_c @ SV286 @ SV811 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3343]) ).

thf(3703,plain,
    ! [SV591: set_c,SV287: c,SV934: c > real > finite1398487019real_c,SV812: real > finite1398487019real_c] :
      ( ( ( SV812
         != ( SV934 @ SV287 ) )
        = $true )
      | ( ( member1321351885real_c @ SV812 @ ( image_1226855921real_c @ SV934 @ SV591 ) )
        = $true )
      | ( ( member_c @ SV287 @ SV591 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3344]) ).

thf(3704,plain,
    ! [SV593: sum_sum_c_c > sum_sum_c_c,SV289: sum_sum_c_c,SV936: set_Sum_sum_c_c,SV814: sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ SV814 @ SV936 ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ SV289 @ ( image_666880337um_c_c @ SV593 @ SV936 ) )
        = $true )
      | ( ( SV289
          = ( SV593 @ SV814 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3346]) ).

thf(3705,plain,
    ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) ) )
      = $false )
    | ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $true )
    | ( ( ( finite772340578real_c @ ( produc314122909real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) ) @ i2 )
        = ( finite772340578real_c @ bb @ i2 ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3347]) ).

thf(3706,plain,
    ! [SV293: set_Sum_sum_c_d,SV597: sum_sum_c_d > sum_sum_c_c,SV817: sum_sum_c_d > set_Sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_d @ ( sK55_SY2562 @ SV817 @ SV597 @ SV293 ) @ SV293 ) )
        = $false )
      | ( ( member71251457um_c_c @ SV597 @ ( pi_Sum1145067928um_c_c @ SV293 @ SV817 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3348]) ).

thf(3707,plain,
    ! [SV293: set_Sum_sum_c_d,SV817: sum_sum_c_d > set_Sum_sum_c_c,SV597: sum_sum_c_d > sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ ( SV597 @ ( sK55_SY2562 @ SV817 @ SV597 @ SV293 ) ) @ ( SV817 @ ( sK55_SY2562 @ SV817 @ SV597 @ SV293 ) ) )
        = $false )
      | ( ( member71251457um_c_c @ SV597 @ ( pi_Sum1145067928um_c_c @ SV293 @ SV817 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3348]) ).

thf(3708,plain,
    ! [SV819: set_Sum_sum_c_c,SV601: sum_sum_c_c > sum_sum_c_c,SV297: sum_sum_c_c] :
      ( ( ( ( SV297
           != ( SV601 @ ( sK74_SY2565 @ SV819 @ SV601 @ SV297 ) ) )
          | ~ ( member_Sum_sum_c_c @ ( sK74_SY2565 @ SV819 @ SV601 @ SV297 ) @ SV819 ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ SV297 @ ( image_666880337um_c_c @ SV601 @ SV819 ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[3349]) ).

thf(3709,plain,
    ! [SV820: set_Sum_sum_c_d,SV602: sum_sum_c_d > c,SV298: c] :
      ( ( ( ( SV298
           != ( SV602 @ ( sK75_SY2566 @ SV820 @ SV602 @ SV298 ) ) )
          | ~ ( member_Sum_sum_c_d @ ( sK75_SY2566 @ SV820 @ SV602 @ SV298 ) @ SV820 ) )
        = $false )
      | ( ( member_c @ SV298 @ ( image_Sum_sum_c_d_c @ SV602 @ SV820 ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[3350]) ).

thf(3710,plain,
    ! [SV299: set_Sum_sum_c_d,SV603: sum_sum_c_d > sum_sum_c_c,SV821: sum_sum_c_d > set_Sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_d @ ( sK56_SY2567 @ SV821 @ SV603 @ SV299 ) @ SV299 ) )
        = $false )
      | ( ( member71251457um_c_c @ SV603 @ ( pi_Sum1145067928um_c_c @ SV299 @ SV821 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3351]) ).

thf(3711,plain,
    ! [SV299: set_Sum_sum_c_d,SV821: sum_sum_c_d > set_Sum_sum_c_c,SV603: sum_sum_c_d > sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ ( SV603 @ ( sK56_SY2567 @ SV821 @ SV603 @ SV299 ) ) @ ( SV821 @ ( sK56_SY2567 @ SV821 @ SV603 @ SV299 ) ) )
        = $false )
      | ( ( member71251457um_c_c @ SV603 @ ( pi_Sum1145067928um_c_c @ SV299 @ SV821 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3351]) ).

thf(3712,plain,
    ! [SV300: set_c,SV604: c > sum_sum_c_d,SV822: c > set_Sum_sum_c_d] :
      ( ( ( ~ ( member_c @ ( sK57_SY2568 @ SV822 @ SV604 @ SV300 ) @ SV300 ) )
        = $false )
      | ( ( member_c_Sum_sum_c_d @ SV604 @ ( pi_c_Sum_sum_c_d @ SV300 @ SV822 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3352]) ).

thf(3713,plain,
    ! [SV300: set_c,SV822: c > set_Sum_sum_c_d,SV604: c > sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ ( SV604 @ ( sK57_SY2568 @ SV822 @ SV604 @ SV300 ) ) @ ( SV822 @ ( sK57_SY2568 @ SV822 @ SV604 @ SV300 ) ) )
        = $false )
      | ( ( member_c_Sum_sum_c_d @ SV604 @ ( pi_c_Sum_sum_c_d @ SV300 @ SV822 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3352]) ).

thf(3714,plain,
    ! [SV823: set_Sum_sum_c_d,SV605: sum_sum_c_d > sum_sum_c_d,SV301: sum_sum_c_d] :
      ( ( ( ( SV301
           != ( SV605 @ ( sK76_SY2569 @ SV823 @ SV605 @ SV301 ) ) )
          | ~ ( member_Sum_sum_c_d @ ( sK76_SY2569 @ SV823 @ SV605 @ SV301 ) @ SV823 ) )
        = $false )
      | ( ( member_Sum_sum_c_d @ SV301 @ ( image_1567202899um_c_d @ SV605 @ SV823 ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[3353]) ).

thf(3715,plain,
    ! [SV937: produc957004601l_real,SV606: produc957004601l_real] :
      ( ( ( ( ord_le1342644953l_real @ SV606 @ SV937 )
          | ~ ( ~ ( ord_less_eq_real @ ( produc1422991709l_real @ SV606 ) @ ( produc1422991709l_real @ SV937 ) )
              | ~ ( ord_less_eq_real @ ( produc1407670175l_real @ SV606 ) @ ( produc1407670175l_real @ SV937 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le1342644953l_real @ SV606 @ SV937 )
              | ~ ~ ( ~ ( ord_less_eq_real @ ( produc1422991709l_real @ SV606 ) @ ( produc1422991709l_real @ SV937 ) )
                    | ~ ( ord_less_eq_real @ ( produc1407670175l_real @ SV606 ) @ ( produc1407670175l_real @ SV937 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3354]) ).

thf(3716,plain,
    ! [SV303: set_Sum_sum_c_c,SV607: sum_sum_c_c > c,SV825: sum_sum_c_c > set_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sK58_SY2570 @ SV825 @ SV607 @ SV303 ) @ SV303 ) )
        = $false )
      | ( ( member_Sum_sum_c_c_c @ SV607 @ ( pi_Sum_sum_c_c_c @ SV303 @ SV825 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3355]) ).

thf(3717,plain,
    ! [SV303: set_Sum_sum_c_c,SV825: sum_sum_c_c > set_c,SV607: sum_sum_c_c > c] :
      ( ( ( member_c @ ( SV607 @ ( sK58_SY2570 @ SV825 @ SV607 @ SV303 ) ) @ ( SV825 @ ( sK58_SY2570 @ SV825 @ SV607 @ SV303 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c_c @ SV607 @ ( pi_Sum_sum_c_c_c @ SV303 @ SV825 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3355]) ).

thf(3718,plain,
    ! [SV608: produc190496183real_c,SV304: produc190496183real_c] :
      ( ( ( ( member1895684704real_c @ SV304 @ ( denota968303861_a_b_c @ i @ p ) )
          | ( member1895684704real_c @ SV608 @ ( denota968303861_a_b_c @ i @ p ) ) )
        = $false )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV304 @ ( denota968303861_a_b_c @ i @ p ) )
              | ~ ( member1895684704real_c @ SV608 @ ( denota968303861_a_b_c @ i @ p ) ) ) )
        = $true )
      | ( ( denota1997846518gree_c @ SV304 @ SV608 @ ( static_FVF_a_b_c @ p ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3356]) ).

thf(3719,plain,
    ! [SV305: set_c,SV938: c > sum_sum_c_d,SV826: c > sum_sum_c_d,SV609: set_c] :
      ( ( ( ~ ! [SY2646: c] :
                ( ~ ( member_c @ SY2646 @ SV609 )
                | ( ( SV826 @ SY2646 )
                  = ( SV938 @ SY2646 ) ) ) )
        = $true )
      | ( ( ( image_c_Sum_sum_c_d @ SV826 @ SV305 )
          = ( image_c_Sum_sum_c_d @ SV938 @ SV609 ) )
        = $true )
      | ( ( SV305 = SV609 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3357]) ).

thf(3720,plain,
    ! [SV306: set_Sum_sum_c_c,SV610: sum_sum_c_c > c,SV827: sum_sum_c_c > set_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sK59_SY2573 @ SV827 @ SV610 @ SV306 ) @ SV306 ) )
        = $false )
      | ( ( member_Sum_sum_c_c_c @ SV610 @ ( pi_Sum_sum_c_c_c @ SV306 @ SV827 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3358]) ).

thf(3721,plain,
    ! [SV306: set_Sum_sum_c_c,SV827: sum_sum_c_c > set_c,SV610: sum_sum_c_c > c] :
      ( ( ( member_c @ ( SV610 @ ( sK59_SY2573 @ SV827 @ SV610 @ SV306 ) ) @ ( SV827 @ ( sK59_SY2573 @ SV827 @ SV610 @ SV306 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c_c @ SV610 @ ( pi_Sum_sum_c_c_c @ SV306 @ SV827 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3358]) ).

thf(3722,plain,
    ! [SV307: set_Pr1389752855real_c,SV611: set_Pr1389752855real_c] :
      ( ( ( member1895684704real_c @ ( sK13_SY2313 @ SV611 @ SV307 ) @ SV307 )
        = $true )
      | ( ( ord_le977353143real_c @ SV307 @ SV611 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3359]) ).

thf(3723,plain,
    ! [SV617: set_Sum_sum_c_d,SV313: sum_sum_c_d,SV939: sum_sum_c_d > sum_sum_c_d,SV829: sum_sum_c_d] :
      ( ( ( SV829
         != ( SV939 @ SV313 ) )
        = $true )
      | ( ( member_Sum_sum_c_d @ SV829 @ ( image_1567202899um_c_d @ SV939 @ SV617 ) )
        = $true )
      | ( ( member_Sum_sum_c_d @ SV313 @ SV617 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3361]) ).

thf(3724,plain,
    ! [SV618: set_c,SV830: c > set_c,SV940: c,SV314: c > c] :
      ( ( ( ~ ~ ( member_c @ ( SV314 @ SV940 ) @ ( SV830 @ SV940 ) ) )
        = $true )
      | ( ( ~ ( member_c @ SV940 @ SV618 ) )
        = $true )
      | ( ( member_c_c @ SV314 @ ( pi_c_c @ SV618 @ SV830 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3362]) ).

thf(3725,plain,
    ! [SV941: finite1398487019real_c,SV831: finite1398487019real_c,SV619: finite1398487019real_c,SV315: finite1398487019real_c] :
      ( ( ( ( ord_le850691415real_c @ ( produc394644079real_c @ SV315 @ SV619 ) @ ( produc394644079real_c @ SV831 @ SV941 ) )
          | ~ ( ~ ( ord_le775706699real_c @ SV315 @ SV831 )
              | ~ ( ord_le775706699real_c @ SV619 @ SV941 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le850691415real_c @ ( produc394644079real_c @ SV315 @ SV619 ) @ ( produc394644079real_c @ SV831 @ SV941 ) )
              | ~ ~ ( ~ ( ord_le775706699real_c @ SV315 @ SV831 )
                    | ~ ( ord_le775706699real_c @ SV619 @ SV941 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3363]) ).

thf(3726,plain,
    ! [SV832: real > set_Fi1407883041real_c,SV620: set_real,SV316: real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ SV316 @ ( pi_rea1111636068real_c @ SV620 @ SV832 ) )
        = $false )
      | ( ( ~ ( ~ ( member1321351885real_c @ SV316 @ ( pi_rea1111636068real_c @ SV620 @ SV832 ) )
              | ~ ! [SY2577: real] :
                    ( ~ ( member_real @ SY2577 @ SV620 )
                    | ( member1261661570real_c @ ( SV316 @ SY2577 ) @ ( SV832 @ SY2577 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3364]) ).

thf(3727,plain,
    ! [SV832: real > set_Fi1407883041real_c,SV316: real > finite1398487019real_c,SV620: set_real] :
      ( ( ( ! [SY2577: real] :
              ( ~ ( member_real @ SY2577 @ SV620 )
              | ( member1261661570real_c @ ( SV316 @ SY2577 ) @ ( SV832 @ SY2577 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( member1321351885real_c @ SV316 @ ( pi_rea1111636068real_c @ SV620 @ SV832 ) )
              | ~ ! [SY2577: real] :
                    ( ~ ( member_real @ SY2577 @ SV620 )
                    | ( member1261661570real_c @ ( SV316 @ SY2577 ) @ ( SV832 @ SY2577 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3364]) ).

thf(3728,plain,
    ! [SV622: set_Pr1389752855real_c,SV318: set_Pr1389752855real_c,SV834: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV834 @ SV318 )
        = $false )
      | ( ( member1895684704real_c @ SV834 @ SV622 )
        = $true )
      | ( ( ord_le977353143real_c @ SV318 @ SV622 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3365]) ).

thf(3729,plain,
    ! [SV623: set_re2066790124real_c,SV835: ( real > finite1398487019real_c ) > set_c,SV942: real > finite1398487019real_c,SV319: ( real > finite1398487019real_c ) > c] :
      ( ( ( ~ ~ ( member_c @ ( SV319 @ SV942 ) @ ( SV835 @ SV942 ) ) )
        = $true )
      | ( ( ~ ( member1321351885real_c @ SV942 @ SV623 ) )
        = $true )
      | ( ( member527957930al_c_c @ SV319 @ ( pi_rea1228756413al_c_c @ SV623 @ SV835 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3366]) ).

thf(3730,plain,
    ! [SV320: set_Sum_sum_c_c,SV624: set_Sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ ( sK14_SY2329 @ SV624 @ SV320 ) @ SV320 )
        = $true )
      | ( ( ord_le1772180283um_c_c @ SV320 @ SV624 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3367]) ).

thf(3731,plain,
    ! [SV626: c > c,SV322: c,SV943: set_c,SV837: c] :
      ( ( ( ~ ( member_c @ SV837 @ SV943 ) )
        = $true )
      | ( ( member_c @ SV322 @ ( image_c_c @ SV626 @ SV943 ) )
        = $true )
      | ( ( SV322
          = ( SV626 @ SV837 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3369]) ).

thf(3732,plain,
    ! [SV944: produc190496183real_c,SV627: produc190496183real_c] :
      ( ( ( ( SV627 = SV944 )
          | ~ ( ( ( produc2010422875real_c @ SV627 )
               != ( produc2010422875real_c @ SV944 ) )
              | ( ( produc314122909real_c @ SV627 )
               != ( produc314122909real_c @ SV944 ) ) ) )
        = $false )
      | ( ( ~ ( ( SV627 != SV944 )
              | ~ ~ ( ( ( produc2010422875real_c @ SV627 )
                     != ( produc2010422875real_c @ SV944 ) )
                    | ( ( produc314122909real_c @ SV627 )
                     != ( produc314122909real_c @ SV944 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3370]) ).

thf(3733,plain,
    ! [SV945: set_Pr1389752855real_c,SV628: set_Pr1389752855real_c] :
      ( ( ( ( ord_le977353143real_c @ SV628 @ SV945 )
          | ! [SY2647: produc190496183real_c] :
              ( ~ ( member1895684704real_c @ SY2647 @ SV628 )
              | ( member1895684704real_c @ SY2647 @ SV945 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le977353143real_c @ SV628 @ SV945 )
              | ~ ! [SY2647: produc190496183real_c] :
                    ( ~ ( member1895684704real_c @ SY2647 @ SV628 )
                    | ( member1895684704real_c @ SY2647 @ SV945 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3371]) ).

thf(3734,plain,
    ! [SV842: set_c,SV631: c > sum_sum_c_c,SV327: set_Sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ SV327 @ ( image_c_Sum_sum_c_c @ SV631 @ SV842 ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV327 @ ( image_c_Sum_sum_c_c @ SV631 @ SV842 ) )
              | ~ ~ ! [SY2581: set_c] :
                      ~ ~ ( ~ ( ord_less_eq_set_c @ SY2581 @ SV842 )
                          | ( SV327
                           != ( image_c_Sum_sum_c_c @ SV631 @ SY2581 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3372]) ).

thf(3735,plain,
    ! [SV631: c > sum_sum_c_c,SV327: set_Sum_sum_c_c,SV842: set_c] :
      ( ( ( ~ ! [SY2581: set_c] :
                ~ ~ ( ~ ( ord_less_eq_set_c @ SY2581 @ SV842 )
                    | ( SV327
                     != ( image_c_Sum_sum_c_c @ SV631 @ SY2581 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV327 @ ( image_c_Sum_sum_c_c @ SV631 @ SV842 ) )
              | ~ ~ ! [SY2581: set_c] :
                      ~ ~ ( ~ ( ord_less_eq_set_c @ SY2581 @ SV842 )
                          | ( SV327
                           != ( image_c_Sum_sum_c_c @ SV631 @ SY2581 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3372]) ).

thf(3736,plain,
    ! [SV844: sum_sum_c_d > $o,SV633: set_c,SV329: c > sum_sum_c_d,SV968: sum_sum_c_d] :
      ( ( ( ~ ~ ( ~ ( member_Sum_sum_c_d @ SV968 @ ( image_c_Sum_sum_c_d @ SV329 @ SV633 ) )
                | ~ ( SV844 @ SV968 ) ) )
        = $true )
      | ( ( ~ ! [SY2585: c] :
                ~ ~ ( ~ ( member_c @ SY2585 @ SV633 )
                    | ~ ( SV844 @ ( SV329 @ SY2585 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3373]) ).

thf(3737,plain,
    ! [SV634: sum_sum_c_c > sum_sum_c_d,SV330: sum_sum_c_d,SV946: set_Sum_sum_c_c,SV845: sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ SV845 @ SV946 ) )
        = $true )
      | ( ( member_Sum_sum_c_d @ SV330 @ ( image_675141842um_c_d @ SV634 @ SV946 ) )
        = $true )
      | ( ( SV330
          = ( SV634 @ SV845 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3374]) ).

thf(3738,plain,
    ! [SV956: finite1398487019real_c,SV947: real,SV846: real > finite1398487019real_c,SV635: denota231621370t_unit,SV331: oDE_a_c] :
      ( ( ( osafe_a_c @ SV331 )
        = $false )
      | ( ( ( denota1275485728_a_b_c @ SV635 @ SV331 @ ( SV846 @ SV947 ) )
          = ( denota1275485728_a_b_c @ SV635 @ SV331
            @ ( finite557796307c_real
              @ ^ [SY2664: c] : ( if_real @ ( member_c @ SY2664 @ ( static_FVO_a_c @ SV331 ) ) @ ( finite772340578real_c @ ( SV846 @ SV947 ) @ SY2664 ) @ ( finite772340578real_c @ SV956 @ SY2664 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3375]) ).

thf(3739,plain,
    ! [SV948: finite1398487019real_c,SV636: finite1398487019real_c,SV847: finite1398487019real_c,SV332: finite1398487019real_c] :
      ( ( ( ( SV332 != SV847 )
          | ( SV636 != SV948 ) )
        = $false )
      | ( ( ( produc394644079real_c @ SV332 @ SV636 )
          = ( produc394644079real_c @ SV847 @ SV948 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3376]) ).

thf(3740,plain,
    ! [SV334: set_c,SV637: c > sum_sum_c_c,SV848: set_Sum_sum_c_c] :
      ( ( ( ~ ( member_c @ ( sK60_SY2592 @ SV848 @ SV637 @ SV334 ) @ SV334 ) )
        = $false )
      | ( ( member_c_Sum_sum_c_c @ SV637
          @ ( pi_c_Sum_sum_c_c @ SV334
            @ ^ [SY2593: c] : SV848 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3377]) ).

thf(3741,plain,
    ! [SV334: set_c,SV848: set_Sum_sum_c_c,SV637: c > sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ ( SV637 @ ( sK60_SY2592 @ SV848 @ SV637 @ SV334 ) ) @ SV848 )
        = $false )
      | ( ( member_c_Sum_sum_c_c @ SV637
          @ ( pi_c_Sum_sum_c_c @ SV334
            @ ^ [SY2593: c] : SV848 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3377]) ).

thf(3742,plain,
    ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) ) )
      = $false )
    | ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $true )
    | ( ( ( finite772340578real_c
          @ ( produc314122909real_c
            @ ( denota161327353_a_b_c @ i @ oDEa
              @ ( produc394644079real_c
                @ ( finite557796307c_real
                  @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                @ bb )
              @ ( finite557796307c_real
                @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
          @ i2 )
        = ( finite772340578real_c @ bb @ i2 ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3378]) ).

thf(3743,plain,
    ! [SV850: finite1398487019real_c,SV337: finite1398487019real_c] :
      ( ( ( ord_le775706699real_c @ SV337 @ SV850 )
        = $false )
      | ( ( ~ ( ~ ( ord_le775706699real_c @ SV337 @ SV850 )
              | ~ ! [SY2596: c] : ( ord_less_eq_real @ ( finite772340578real_c @ SV337 @ SY2596 ) @ ( finite772340578real_c @ SV850 @ SY2596 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3383]) ).

thf(3744,plain,
    ! [SV850: finite1398487019real_c,SV337: finite1398487019real_c] :
      ( ( ( ! [SY2596: c] : ( ord_less_eq_real @ ( finite772340578real_c @ SV337 @ SY2596 ) @ ( finite772340578real_c @ SV850 @ SY2596 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le775706699real_c @ SV337 @ SV850 )
              | ~ ! [SY2596: c] : ( ord_less_eq_real @ ( finite772340578real_c @ SV337 @ SY2596 ) @ ( finite772340578real_c @ SV850 @ SY2596 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3383]) ).

thf(3745,plain,
    ! [SV338: finite1398487019real_c,SV7: finite1398487019real_c] :
      ( ( ( ( finite772340578real_c @ SV7 @ ( sK77_SV963 @ SV338 @ SV7 ) )
          = ( finite772340578real_c @ SV338 @ ( sK77_SV963 @ SV338 @ SV7 ) ) )
        = $false )
      | ( ( ~ ( ( ( finite772340578real_c @ SV7 )
               != ( finite772340578real_c @ SV338 ) )
              | ( SV7 != SV338 ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[3384]) ).

thf(3746,plain,
    ! [SV338: finite1398487019real_c,SV7: finite1398487019real_c] :
      ( ( ( ( ( finite772340578real_c @ SV7 )
           != ( finite772340578real_c @ SV338 ) )
          | ( SV7 != SV338 ) )
        = $false )
      | ( ( ( finite772340578real_c @ SV7 )
          = ( finite772340578real_c @ SV338 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3385]) ).

thf(3747,plain,
    ! [SV338: finite1398487019real_c,SV7: finite1398487019real_c] :
      ( ( ( ( finite772340578real_c @ SV7 )
         != ( finite772340578real_c @ SV338 ) )
        = $false )
      | ( ( SV7 = SV338 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3386]) ).

thf(3748,plain,
    ! [SV338: finite1398487019real_c,SV7: finite1398487019real_c] :
      ( ( ( SV7 != SV338 )
        = $false )
      | ( ( SV7 = SV338 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3386]) ).

thf(3749,plain,
    ! [SV851: finite1398487019real_c,SV339: finite1398487019real_c] :
      ( ( ( SV339 = SV851 )
        = $false )
      | ( ( ~ ( ( SV339 != SV851 )
              | ~ ! [SY2597: c] :
                    ( ( finite772340578real_c @ SV339 @ SY2597 )
                    = ( finite772340578real_c @ SV851 @ SY2597 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3387]) ).

thf(3750,plain,
    ! [SV851: finite1398487019real_c,SV339: finite1398487019real_c] :
      ( ( ( ! [SY2597: c] :
              ( ( finite772340578real_c @ SV339 @ SY2597 )
              = ( finite772340578real_c @ SV851 @ SY2597 ) ) )
        = $false )
      | ( ( ~ ( ( SV339 != SV851 )
              | ~ ! [SY2597: c] :
                    ( ( finite772340578real_c @ SV339 @ SY2597 )
                    = ( finite772340578real_c @ SV851 @ SY2597 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3387]) ).

thf(3751,plain,
    ! [SV340: sum_sum_c_c > $o,SV9: sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ SV9 @ ( collect_Sum_sum_c_c @ SV340 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ SV9 @ ( collect_Sum_sum_c_c @ SV340 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3388]) ).

thf(3752,plain,
    ! [SV9: sum_sum_c_c,SV340: sum_sum_c_c > $o] :
      ( ( ( ~ ( SV340 @ SV9 ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ SV9 @ ( collect_Sum_sum_c_c @ SV340 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3388]) ).

thf(3753,plain,
    ! [SV340: sum_sum_c_c > $o,SV9: sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ SV9 @ ( collect_Sum_sum_c_c @ SV340 ) ) )
        = $false )
      | ( ( SV340 @ SV9 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3389]) ).

thf(3754,plain,
    ! [SV9: sum_sum_c_c,SV340: sum_sum_c_c > $o] :
      ( ( ( ~ ( SV340 @ SV9 ) )
        = $false )
      | ( ( SV340 @ SV9 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3389]) ).

thf(3755,plain,
    ! [SV341: sum_sum_c_d > $o,SV10: sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_d @ SV10 @ ( collect_Sum_sum_c_d @ SV341 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_d @ SV10 @ ( collect_Sum_sum_c_d @ SV341 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3390]) ).

thf(3756,plain,
    ! [SV10: sum_sum_c_d,SV341: sum_sum_c_d > $o] :
      ( ( ( ~ ( SV341 @ SV10 ) )
        = $false )
      | ( ( member_Sum_sum_c_d @ SV10 @ ( collect_Sum_sum_c_d @ SV341 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3390]) ).

thf(3757,plain,
    ! [SV341: sum_sum_c_d > $o,SV10: sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_d @ SV10 @ ( collect_Sum_sum_c_d @ SV341 ) ) )
        = $false )
      | ( ( SV341 @ SV10 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3391]) ).

thf(3758,plain,
    ! [SV10: sum_sum_c_d,SV341: sum_sum_c_d > $o] :
      ( ( ( ~ ( SV341 @ SV10 ) )
        = $false )
      | ( ( SV341 @ SV10 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3391]) ).

thf(3759,plain,
    ! [SV342: produc190496183real_c > $o,SV11: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV11 @ ( collec1643251106real_c @ SV342 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV11 @ ( collec1643251106real_c @ SV342 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3392]) ).

thf(3760,plain,
    ! [SV11: produc190496183real_c,SV342: produc190496183real_c > $o] :
      ( ( ( ~ ( SV342 @ SV11 ) )
        = $false )
      | ( ( member1895684704real_c @ SV11 @ ( collec1643251106real_c @ SV342 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3392]) ).

thf(3761,plain,
    ! [SV342: produc190496183real_c > $o,SV11: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV11 @ ( collec1643251106real_c @ SV342 ) ) )
        = $false )
      | ( ( SV342 @ SV11 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3393]) ).

thf(3762,plain,
    ! [SV11: produc190496183real_c,SV342: produc190496183real_c > $o] :
      ( ( ( ~ ( SV342 @ SV11 ) )
        = $false )
      | ( ( SV342 @ SV11 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3393]) ).

thf(3763,plain,
    ! [SV343: ( real > finite1398487019real_c ) > $o,SV12: real > finite1398487019real_c] :
      ( ( ( ~ ( member1321351885real_c @ SV12 @ ( collec913357835real_c @ SV343 ) ) )
        = $false )
      | ( ( member1321351885real_c @ SV12 @ ( collec913357835real_c @ SV343 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3394]) ).

thf(3764,plain,
    ! [SV12: real > finite1398487019real_c,SV343: ( real > finite1398487019real_c ) > $o] :
      ( ( ( ~ ( SV343 @ SV12 ) )
        = $false )
      | ( ( member1321351885real_c @ SV12 @ ( collec913357835real_c @ SV343 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3394]) ).

thf(3765,plain,
    ! [SV343: ( real > finite1398487019real_c ) > $o,SV12: real > finite1398487019real_c] :
      ( ( ( ~ ( member1321351885real_c @ SV12 @ ( collec913357835real_c @ SV343 ) ) )
        = $false )
      | ( ( SV343 @ SV12 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3395]) ).

thf(3766,plain,
    ! [SV12: real > finite1398487019real_c,SV343: ( real > finite1398487019real_c ) > $o] :
      ( ( ( ~ ( SV343 @ SV12 ) )
        = $false )
      | ( ( SV343 @ SV12 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3395]) ).

thf(3767,plain,
    ! [SV344: finite1398487019real_c > $o,SV13: finite1398487019real_c] :
      ( ( ( ~ ( member1261661570real_c @ SV13 @ ( collec230941376real_c @ SV344 ) ) )
        = $false )
      | ( ( member1261661570real_c @ SV13 @ ( collec230941376real_c @ SV344 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3396]) ).

thf(3768,plain,
    ! [SV13: finite1398487019real_c,SV344: finite1398487019real_c > $o] :
      ( ( ( ~ ( SV344 @ SV13 ) )
        = $false )
      | ( ( member1261661570real_c @ SV13 @ ( collec230941376real_c @ SV344 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3396]) ).

thf(3769,plain,
    ! [SV344: finite1398487019real_c > $o,SV13: finite1398487019real_c] :
      ( ( ( ~ ( member1261661570real_c @ SV13 @ ( collec230941376real_c @ SV344 ) ) )
        = $false )
      | ( ( SV344 @ SV13 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3397]) ).

thf(3770,plain,
    ! [SV13: finite1398487019real_c,SV344: finite1398487019real_c > $o] :
      ( ( ( ~ ( SV344 @ SV13 ) )
        = $false )
      | ( ( SV344 @ SV13 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3397]) ).

thf(3771,plain,
    ! [SV345: c > $o,SV14: c] :
      ( ( ( ~ ( member_c @ SV14 @ ( collect_c @ SV345 ) ) )
        = $false )
      | ( ( member_c @ SV14 @ ( collect_c @ SV345 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3398]) ).

thf(3772,plain,
    ! [SV14: c,SV345: c > $o] :
      ( ( ( ~ ( SV345 @ SV14 ) )
        = $false )
      | ( ( member_c @ SV14 @ ( collect_c @ SV345 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3398]) ).

thf(3773,plain,
    ! [SV345: c > $o,SV14: c] :
      ( ( ( ~ ( member_c @ SV14 @ ( collect_c @ SV345 ) ) )
        = $false )
      | ( ( SV345 @ SV14 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3399]) ).

thf(3774,plain,
    ! [SV14: c,SV345: c > $o] :
      ( ( ( ~ ( SV345 @ SV14 ) )
        = $false )
      | ( ( SV345 @ SV14 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3399]) ).

thf(3775,plain,
    ! [SV348: c > real,SV24: finite1398487019real_c] :
      ( ( ( ~ ! [SY1885: c] :
                ( ( finite772340578real_c @ SV24 @ SY1885 )
                = ( SV348 @ SY1885 ) )
          | ( ( finite557796307c_real @ SV348 )
           != SV24 ) )
        = $false )
      | ( ( ( finite772340578real_c @ SV24 @ ( sK61_SY1885 @ SV348 @ SV24 ) )
          = ( SV348 @ ( sK61_SY1885 @ SV348 @ SV24 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3400]) ).

thf(3776,plain,
    ! [SV348: c > real,SV24: finite1398487019real_c] :
      ( ( ( ~ ! [SY1885: c] :
                ( ( finite772340578real_c @ SV24 @ SY1885 )
                = ( SV348 @ SY1885 ) ) )
        = $false )
      | ( ( ( finite557796307c_real @ SV348 )
          = SV24 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3401]) ).

thf(3777,plain,
    ! [SV24: finite1398487019real_c,SV348: c > real] :
      ( ( ( ( finite557796307c_real @ SV348 )
         != SV24 )
        = $false )
      | ( ( ( finite557796307c_real @ SV348 )
          = SV24 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3401]) ).

thf(3778,plain,
    ! [SV969: finite1398487019real_c,SV957: produc190496183real_c,SV852: oDE_a_c,SV349: denota231621370t_unit] :
      ( ( ( denota161327353_a_b_c @ SV349 @ SV852 @ SV957 @ SV969 )
        = ( produc394644079real_c
          @ ( finite557796307c_real
            @ ^ [SY2679: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2679 ) @ ( denota1293057250_a_b_c @ SV349 @ SV852 ) ) @ SV969 @ ( produc2010422875real_c @ SV957 ) ) @ SY2679 ) )
          @ ( finite557796307c_real
            @ ^ [SY2680: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2680 ) @ ( denota1293057250_a_b_c @ SV349 @ SV852 ) ) @ ( denota1275485728_a_b_c @ SV349 @ SV852 @ SV969 ) @ ( produc314122909real_c @ SV957 ) ) @ SY2680 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3402]) ).

thf(3779,plain,
    ! [SV970: finite1398487019real_c,SV958: produc190496183real_c,SV853: oDE_a_c,SV350: denota231621370t_unit] :
      ( ( ( denota310462944_a_b_c @ SV350 @ SV853 @ SV958 @ SV970 )
        = ( produc394644079real_c
          @ ( finite557796307c_real
            @ ^ [SY2681: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2681 ) @ ( denota1293057250_a_b_c @ SV350 @ SV853 ) ) @ SV970 @ ( produc2010422875real_c @ SV958 ) ) @ SY2681 ) )
          @ ( finite557796307c_real
            @ ^ [SY2682: c] : ( finite772340578real_c @ ( if_Fin36944805real_c @ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2682 ) @ ( denota1293057250_a_b_c @ SV350 @ SV853 ) ) @ ( denota1275485728_a_b_c @ SV350 @ SV853 @ SV970 ) @ ( produc314122909real_c @ SV958 ) ) @ SY2682 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[3404]) ).

thf(3780,plain,
    ! [SV29: real] :
      ( ( ( zero_zero_real
          = ( uminus_uminus_real @ SV29 ) )
        = $true )
      | ( ( zero_zero_real
          = ( uminus_uminus_real @ SV29 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3406]) ).

thf(3781,plain,
    ! [SV29: real] :
      ( ( ( zero_zero_real = SV29 )
        = $true )
      | ( ( zero_zero_real
          = ( uminus_uminus_real @ SV29 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3407]) ).

thf(3782,plain,
    ! [SV29: real] :
      ( ( ( zero_zero_real
          = ( uminus_uminus_real @ SV29 ) )
        = $true )
      | ( ( zero_zero_real = SV29 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3408]) ).

thf(3783,plain,
    ! [SV29: real] :
      ( ( ( zero_zero_real = SV29 )
        = $true )
      | ( ( zero_zero_real = SV29 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3409]) ).

thf(3784,plain,
    ! [SV30: real] :
      ( ( ( ( uminus_uminus_real @ SV30 )
          = zero_zero_real )
        = $true )
      | ( ( ( uminus_uminus_real @ SV30 )
          = zero_zero_real )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3410]) ).

thf(3785,plain,
    ! [SV30: real] :
      ( ( ( SV30 = zero_zero_real )
        = $true )
      | ( ( ( uminus_uminus_real @ SV30 )
          = zero_zero_real )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3411]) ).

thf(3786,plain,
    ! [SV30: real] :
      ( ( ( ( uminus_uminus_real @ SV30 )
          = zero_zero_real )
        = $true )
      | ( ( SV30 = zero_zero_real )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3412]) ).

thf(3787,plain,
    ! [SV30: real] :
      ( ( ( SV30 = zero_zero_real )
        = $true )
      | ( ( SV30 = zero_zero_real )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3413]) ).

thf(3788,plain,
    ! [SV31: real] :
      ( ( ( SV31
          = ( uminus_uminus_real @ SV31 ) )
        = $true )
      | ( ( SV31
          = ( uminus_uminus_real @ SV31 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3414]) ).

thf(3789,plain,
    ! [SV31: real] :
      ( ( ( SV31 = zero_zero_real )
        = $true )
      | ( ( SV31
          = ( uminus_uminus_real @ SV31 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3415]) ).

thf(3790,plain,
    ! [SV31: real] :
      ( ( ( SV31
          = ( uminus_uminus_real @ SV31 ) )
        = $true )
      | ( ( SV31 = zero_zero_real )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3416]) ).

thf(3791,plain,
    ! [SV31: real] :
      ( ( ( SV31 = zero_zero_real )
        = $true )
      | ( ( SV31 = zero_zero_real )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3417]) ).

thf(3792,plain,
    ! [SV32: real] :
      ( ( ( ( uminus_uminus_real @ SV32 )
          = SV32 )
        = $true )
      | ( ( ( uminus_uminus_real @ SV32 )
          = SV32 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3418]) ).

thf(3793,plain,
    ! [SV32: real] :
      ( ( ( SV32 = zero_zero_real )
        = $true )
      | ( ( ( uminus_uminus_real @ SV32 )
          = SV32 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3419]) ).

thf(3794,plain,
    ! [SV32: real] :
      ( ( ( ( uminus_uminus_real @ SV32 )
          = SV32 )
        = $true )
      | ( ( SV32 = zero_zero_real )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3420]) ).

thf(3795,plain,
    ! [SV32: real] :
      ( ( ( SV32 = zero_zero_real )
        = $true )
      | ( ( SV32 = zero_zero_real )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3421]) ).

thf(3796,plain,
    ! [SV351: real,SV33: real] :
      ( ( ( ~ ( ord_less_eq_real @ ( uminus_uminus_real @ SV33 ) @ ( uminus_uminus_real @ SV351 ) ) )
        = $false )
      | ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV33 ) @ ( uminus_uminus_real @ SV351 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3422]) ).

thf(3797,plain,
    ! [SV33: real,SV351: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV351 @ SV33 ) )
        = $false )
      | ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV33 ) @ ( uminus_uminus_real @ SV351 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3422]) ).

thf(3798,plain,
    ! [SV351: real,SV33: real] :
      ( ( ( ~ ( ord_less_eq_real @ ( uminus_uminus_real @ SV33 ) @ ( uminus_uminus_real @ SV351 ) ) )
        = $false )
      | ( ( ord_less_eq_real @ SV351 @ SV33 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3423]) ).

thf(3799,plain,
    ! [SV33: real,SV351: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV351 @ SV33 ) )
        = $false )
      | ( ( ord_less_eq_real @ SV351 @ SV33 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3423]) ).

thf(3800,plain,
    ! [SV39: real] :
      ( ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV39 ) @ SV39 )
        = $true )
      | ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV39 ) @ SV39 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3424]) ).

thf(3801,plain,
    ! [SV39: real] :
      ( ( ( ord_less_eq_real @ zero_zero_real @ SV39 )
        = $true )
      | ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV39 ) @ SV39 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3425]) ).

thf(3802,plain,
    ! [SV39: real] :
      ( ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV39 ) @ SV39 )
        = $true )
      | ( ( ord_less_eq_real @ zero_zero_real @ SV39 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3426]) ).

thf(3803,plain,
    ! [SV39: real] :
      ( ( ( ord_less_eq_real @ zero_zero_real @ SV39 )
        = $true )
      | ( ( ord_less_eq_real @ zero_zero_real @ SV39 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3427]) ).

thf(3804,plain,
    ! [SV40: real] :
      ( ( ( ord_less_eq_real @ SV40 @ ( uminus_uminus_real @ SV40 ) )
        = $true )
      | ( ( ord_less_eq_real @ SV40 @ ( uminus_uminus_real @ SV40 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3428]) ).

thf(3805,plain,
    ! [SV40: real] :
      ( ( ( ord_less_eq_real @ SV40 @ zero_zero_real )
        = $true )
      | ( ( ord_less_eq_real @ SV40 @ ( uminus_uminus_real @ SV40 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3429]) ).

thf(3806,plain,
    ! [SV40: real] :
      ( ( ( ord_less_eq_real @ SV40 @ ( uminus_uminus_real @ SV40 ) )
        = $true )
      | ( ( ord_less_eq_real @ SV40 @ zero_zero_real )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3430]) ).

thf(3807,plain,
    ! [SV40: real] :
      ( ( ( ord_less_eq_real @ SV40 @ zero_zero_real )
        = $true )
      | ( ( ord_less_eq_real @ SV40 @ zero_zero_real )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3431]) ).

thf(3808,plain,
    ! [SV41: real] :
      ( ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV41 ) @ zero_zero_real )
        = $true )
      | ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV41 ) @ zero_zero_real )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3432]) ).

thf(3809,plain,
    ! [SV41: real] :
      ( ( ( ord_less_eq_real @ zero_zero_real @ SV41 )
        = $true )
      | ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV41 ) @ zero_zero_real )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3433]) ).

thf(3810,plain,
    ! [SV41: real] :
      ( ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV41 ) @ zero_zero_real )
        = $true )
      | ( ( ord_less_eq_real @ zero_zero_real @ SV41 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3434]) ).

thf(3811,plain,
    ! [SV41: real] :
      ( ( ( ord_less_eq_real @ zero_zero_real @ SV41 )
        = $true )
      | ( ( ord_less_eq_real @ zero_zero_real @ SV41 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3435]) ).

thf(3812,plain,
    ! [SV42: real] :
      ( ( ( ord_less_eq_real @ zero_zero_real @ ( uminus_uminus_real @ SV42 ) )
        = $true )
      | ( ( ord_less_eq_real @ zero_zero_real @ ( uminus_uminus_real @ SV42 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3436]) ).

thf(3813,plain,
    ! [SV42: real] :
      ( ( ( ord_less_eq_real @ SV42 @ zero_zero_real )
        = $true )
      | ( ( ord_less_eq_real @ zero_zero_real @ ( uminus_uminus_real @ SV42 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3437]) ).

thf(3814,plain,
    ! [SV42: real] :
      ( ( ( ord_less_eq_real @ zero_zero_real @ ( uminus_uminus_real @ SV42 ) )
        = $true )
      | ( ( ord_less_eq_real @ SV42 @ zero_zero_real )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3438]) ).

thf(3815,plain,
    ! [SV42: real] :
      ( ( ( ord_less_eq_real @ SV42 @ zero_zero_real )
        = $true )
      | ( ( ord_less_eq_real @ SV42 @ zero_zero_real )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3439]) ).

thf(3816,plain,
    ! [SV355: real,SV43: real] :
      ( ( ( ~ ( ord_less_eq_real @ ( uminus_uminus_real @ SV43 ) @ SV355 ) )
        = $false )
      | ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV43 ) @ SV355 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3440]) ).

thf(3817,plain,
    ! [SV43: real,SV355: real] :
      ( ( ( ~ ( ord_less_eq_real @ ( uminus_uminus_real @ SV355 ) @ SV43 ) )
        = $false )
      | ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV43 ) @ SV355 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3440]) ).

thf(3818,plain,
    ! [SV355: real,SV43: real] :
      ( ( ( ~ ( ord_less_eq_real @ ( uminus_uminus_real @ SV43 ) @ SV355 ) )
        = $false )
      | ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV355 ) @ SV43 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3441]) ).

thf(3819,plain,
    ! [SV43: real,SV355: real] :
      ( ( ( ~ ( ord_less_eq_real @ ( uminus_uminus_real @ SV355 ) @ SV43 ) )
        = $false )
      | ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV355 ) @ SV43 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3441]) ).

thf(3820,plain,
    ! [SV356: real,SV44: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV44 @ ( uminus_uminus_real @ SV356 ) ) )
        = $false )
      | ( ( ord_less_eq_real @ SV44 @ ( uminus_uminus_real @ SV356 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3442]) ).

thf(3821,plain,
    ! [SV44: real,SV356: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV356 @ ( uminus_uminus_real @ SV44 ) ) )
        = $false )
      | ( ( ord_less_eq_real @ SV44 @ ( uminus_uminus_real @ SV356 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3442]) ).

thf(3822,plain,
    ! [SV356: real,SV44: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV44 @ ( uminus_uminus_real @ SV356 ) ) )
        = $false )
      | ( ( ord_less_eq_real @ SV356 @ ( uminus_uminus_real @ SV44 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3443]) ).

thf(3823,plain,
    ! [SV44: real,SV356: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV356 @ ( uminus_uminus_real @ SV44 ) ) )
        = $false )
      | ( ( ord_less_eq_real @ SV356 @ ( uminus_uminus_real @ SV44 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3443]) ).

thf(3824,plain,
    ! [SV49: real] :
      ( ( ( zero_zero_real = SV49 )
        = $true )
      | ( ( zero_zero_real = SV49 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3444]) ).

thf(3825,plain,
    ! [SV49: real] :
      ( ( ( SV49 = zero_zero_real )
        = $true )
      | ( ( zero_zero_real = SV49 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3445]) ).

thf(3826,plain,
    ! [SV49: real] :
      ( ( ( zero_zero_real = SV49 )
        = $true )
      | ( ( SV49 = zero_zero_real )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3446]) ).

thf(3827,plain,
    ! [SV49: real] :
      ( ( ( SV49 = zero_zero_real )
        = $true )
      | ( ( SV49 = zero_zero_real )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3447]) ).

thf(3828,plain,
    ! [SV644: oDE_a_c,SV362: denota231621370t_unit,SV51: c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SV51 ) @ ( denota1293057250_a_b_c @ SV362 @ SV644 ) )
          | ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SV51 ) @ ( denota1293057250_a_b_c @ SV362 @ SV644 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SV51 ) @ ( denota1293057250_a_b_c @ SV362 @ SV644 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3448]) ).

thf(3829,plain,
    ! [SV644: oDE_a_c,SV362: denota231621370t_unit,SV51: c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SV51 ) @ ( denota1293057250_a_b_c @ SV362 @ SV644 ) )
          | ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SV51 ) @ ( denota1293057250_a_b_c @ SV362 @ SV644 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SV51 ) @ ( denota1293057250_a_b_c @ SV362 @ SV644 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3449]) ).

thf(3830,plain,
    ! [SV363: set_Sum_sum_c_c,SV52: set_Sum_sum_c_c] :
      ( ( ( ~ ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SV52 ) @ ( uminus1381786404um_c_c @ SV363 ) ) )
        = $false )
      | ( ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SV52 ) @ ( uminus1381786404um_c_c @ SV363 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3450]) ).

thf(3831,plain,
    ! [SV52: set_Sum_sum_c_c,SV363: set_Sum_sum_c_c] :
      ( ( ( ~ ( ord_le1772180283um_c_c @ SV363 @ SV52 ) )
        = $false )
      | ( ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SV52 ) @ ( uminus1381786404um_c_c @ SV363 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3450]) ).

thf(3832,plain,
    ! [SV363: set_Sum_sum_c_c,SV52: set_Sum_sum_c_c] :
      ( ( ( ~ ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SV52 ) @ ( uminus1381786404um_c_c @ SV363 ) ) )
        = $false )
      | ( ( ord_le1772180283um_c_c @ SV363 @ SV52 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3451]) ).

thf(3833,plain,
    ! [SV52: set_Sum_sum_c_c,SV363: set_Sum_sum_c_c] :
      ( ( ( ~ ( ord_le1772180283um_c_c @ SV363 @ SV52 ) )
        = $false )
      | ( ( ord_le1772180283um_c_c @ SV363 @ SV52 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3451]) ).

thf(3834,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ ( equiv_a_b_c @ SV645 @ SV855 ) ) )
        = $false )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ ( equiv_a_b_c @ SV645 @ SV855 ) ) )
              | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
               != ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3452]) ).

thf(3835,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
          = ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
        = $false )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ ( equiv_a_b_c @ SV645 @ SV855 ) ) )
              | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
               != ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3452]) ).

thf(3836,plain,
    ! [SV365: set_Sum_sum_c_c,SV55: set_Sum_sum_c_c] :
      ( ( ( ( uminus1381786404um_c_c @ SV55 )
         != ( uminus1381786404um_c_c @ SV365 ) )
        = $false )
      | ( ( ( uminus1381786404um_c_c @ SV55 )
          = ( uminus1381786404um_c_c @ SV365 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3453]) ).

thf(3837,plain,
    ! [SV365: set_Sum_sum_c_c,SV55: set_Sum_sum_c_c] :
      ( ( ( SV55 != SV365 )
        = $false )
      | ( ( ( uminus1381786404um_c_c @ SV55 )
          = ( uminus1381786404um_c_c @ SV365 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3453]) ).

thf(3838,plain,
    ! [SV365: set_Sum_sum_c_c,SV55: set_Sum_sum_c_c] :
      ( ( ( ( uminus1381786404um_c_c @ SV55 )
         != ( uminus1381786404um_c_c @ SV365 ) )
        = $false )
      | ( ( SV55 = SV365 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3454]) ).

thf(3839,plain,
    ! [SV365: set_Sum_sum_c_c,SV55: set_Sum_sum_c_c] :
      ( ( ( SV55 != SV365 )
        = $false )
      | ( ( SV55 = SV365 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3454]) ).

thf(3840,plain,
    ! [SV368: set_Sum_sum_c_c,SV58: set_Sum_sum_c_c] :
      ( ( ( ~ ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SV58 ) @ ( uminus1381786404um_c_c @ SV368 ) ) )
        = $false )
      | ( ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SV58 ) @ ( uminus1381786404um_c_c @ SV368 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3455]) ).

thf(3841,plain,
    ! [SV58: set_Sum_sum_c_c,SV368: set_Sum_sum_c_c] :
      ( ( ( ~ ( ord_le1772180283um_c_c @ SV368 @ SV58 ) )
        = $false )
      | ( ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SV58 ) @ ( uminus1381786404um_c_c @ SV368 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3455]) ).

thf(3842,plain,
    ! [SV368: set_Sum_sum_c_c,SV58: set_Sum_sum_c_c] :
      ( ( ( ~ ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SV58 ) @ ( uminus1381786404um_c_c @ SV368 ) ) )
        = $false )
      | ( ( ord_le1772180283um_c_c @ SV368 @ SV58 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3456]) ).

thf(3843,plain,
    ! [SV58: set_Sum_sum_c_c,SV368: set_Sum_sum_c_c] :
      ( ( ( ~ ( ord_le1772180283um_c_c @ SV368 @ SV58 ) )
        = $false )
      | ( ( ord_le1772180283um_c_c @ SV368 @ SV58 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3456]) ).

thf(3844,plain,
    ! [SV369: set_Sum_sum_c_c,SV59: set_Sum_sum_c_c] :
      ( ( ( ( uminus1381786404um_c_c @ SV59 )
         != ( uminus1381786404um_c_c @ SV369 ) )
        = $false )
      | ( ( ( uminus1381786404um_c_c @ SV59 )
          = ( uminus1381786404um_c_c @ SV369 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3457]) ).

thf(3845,plain,
    ! [SV369: set_Sum_sum_c_c,SV59: set_Sum_sum_c_c] :
      ( ( ( SV59 != SV369 )
        = $false )
      | ( ( ( uminus1381786404um_c_c @ SV59 )
          = ( uminus1381786404um_c_c @ SV369 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3457]) ).

thf(3846,plain,
    ! [SV369: set_Sum_sum_c_c,SV59: set_Sum_sum_c_c] :
      ( ( ( ( uminus1381786404um_c_c @ SV59 )
         != ( uminus1381786404um_c_c @ SV369 ) )
        = $false )
      | ( ( SV59 = SV369 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3458]) ).

thf(3847,plain,
    ! [SV369: set_Sum_sum_c_c,SV59: set_Sum_sum_c_c] :
      ( ( ( SV59 != SV369 )
        = $false )
      | ( ( SV59 = SV369 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3458]) ).

thf(3848,plain,
    ! [SV370: set_c,SV60: c] :
      ( ( ( ~ ( member_c @ SV60 @ ( uminus_uminus_set_c @ SV370 ) ) )
        = $false )
      | ( ( member_c @ SV60 @ ( uminus_uminus_set_c @ SV370 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3459]) ).

thf(3849,plain,
    ! [SV370: set_c,SV60: c] :
      ( ( ( ~ ~ ( member_c @ SV60 @ SV370 ) )
        = $false )
      | ( ( member_c @ SV60 @ ( uminus_uminus_set_c @ SV370 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3459]) ).

thf(3850,plain,
    ! [SV370: set_c,SV60: c] :
      ( ( ( ~ ( member_c @ SV60 @ ( uminus_uminus_set_c @ SV370 ) )
          | ~ ~ ( member_c @ SV60 @ SV370 ) )
        = $false )
      | ( ( member_c @ SV60 @ SV370 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3460]) ).

thf(3851,plain,
    ! [SV371: set_Sum_sum_c_d,SV61: sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_d @ SV61 @ ( uminus373867045um_c_d @ SV371 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_d @ SV61 @ ( uminus373867045um_c_d @ SV371 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3461]) ).

thf(3852,plain,
    ! [SV371: set_Sum_sum_c_d,SV61: sum_sum_c_d] :
      ( ( ( ~ ~ ( member_Sum_sum_c_d @ SV61 @ SV371 ) )
        = $false )
      | ( ( member_Sum_sum_c_d @ SV61 @ ( uminus373867045um_c_d @ SV371 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3461]) ).

thf(3853,plain,
    ! [SV371: set_Sum_sum_c_d,SV61: sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_d @ SV61 @ ( uminus373867045um_c_d @ SV371 ) )
          | ~ ~ ( member_Sum_sum_c_d @ SV61 @ SV371 ) )
        = $false )
      | ( ( member_Sum_sum_c_d @ SV61 @ SV371 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3462]) ).

thf(3854,plain,
    ! [SV372: set_Pr1389752855real_c,SV62: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV62 @ ( uminus232257166real_c @ SV372 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV62 @ ( uminus232257166real_c @ SV372 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3463]) ).

thf(3855,plain,
    ! [SV372: set_Pr1389752855real_c,SV62: produc190496183real_c] :
      ( ( ( ~ ~ ( member1895684704real_c @ SV62 @ SV372 ) )
        = $false )
      | ( ( member1895684704real_c @ SV62 @ ( uminus232257166real_c @ SV372 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3463]) ).

thf(3856,plain,
    ! [SV372: set_Pr1389752855real_c,SV62: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV62 @ ( uminus232257166real_c @ SV372 ) )
          | ~ ~ ( member1895684704real_c @ SV62 @ SV372 ) )
        = $false )
      | ( ( member1895684704real_c @ SV62 @ SV372 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3464]) ).

thf(3857,plain,
    ! [SV373: set_re2066790124real_c,SV63: real > finite1398487019real_c] :
      ( ( ( ~ ( member1321351885real_c @ SV63 @ ( uminus946614837real_c @ SV373 ) ) )
        = $false )
      | ( ( member1321351885real_c @ SV63 @ ( uminus946614837real_c @ SV373 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3465]) ).

thf(3858,plain,
    ! [SV373: set_re2066790124real_c,SV63: real > finite1398487019real_c] :
      ( ( ( ~ ~ ( member1321351885real_c @ SV63 @ SV373 ) )
        = $false )
      | ( ( member1321351885real_c @ SV63 @ ( uminus946614837real_c @ SV373 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3465]) ).

thf(3859,plain,
    ! [SV373: set_re2066790124real_c,SV63: real > finite1398487019real_c] :
      ( ( ( ~ ( member1321351885real_c @ SV63 @ ( uminus946614837real_c @ SV373 ) )
          | ~ ~ ( member1321351885real_c @ SV63 @ SV373 ) )
        = $false )
      | ( ( member1321351885real_c @ SV63 @ SV373 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3466]) ).

thf(3860,plain,
    ! [SV374: set_Sum_sum_c_c,SV64: sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ SV64 @ ( uminus1381786404um_c_c @ SV374 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ SV64 @ ( uminus1381786404um_c_c @ SV374 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3467]) ).

thf(3861,plain,
    ! [SV374: set_Sum_sum_c_c,SV64: sum_sum_c_c] :
      ( ( ( ~ ~ ( member_Sum_sum_c_c @ SV64 @ SV374 ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ SV64 @ ( uminus1381786404um_c_c @ SV374 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3467]) ).

thf(3862,plain,
    ! [SV374: set_Sum_sum_c_c,SV64: sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ SV64 @ ( uminus1381786404um_c_c @ SV374 ) )
          | ~ ~ ( member_Sum_sum_c_c @ SV64 @ SV374 ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ SV64 @ SV374 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3468]) ).

thf(3863,plain,
    ! [SV856: set_Sum_sum_c_c,SV381: set_Sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ SV381 @ SV856 )
        = $false )
      | ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV381 @ SV856 )
              | ~ ( ord_le1315653386_c_c_o
                  @ ^ [SY1915: sum_sum_c_c] : ( member_Sum_sum_c_c @ SY1915 @ SV381 )
                  @ ^ [SY2608: sum_sum_c_c] : ( member_Sum_sum_c_c @ SY2608 @ SV856 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3469]) ).

thf(3864,plain,
    ! [SV856: set_Sum_sum_c_c,SV381: set_Sum_sum_c_c] :
      ( ( ( ord_le1315653386_c_c_o
          @ ^ [SY1915: sum_sum_c_c] : ( member_Sum_sum_c_c @ SY1915 @ SV381 )
          @ ^ [SY2608: sum_sum_c_c] : ( member_Sum_sum_c_c @ SY2608 @ SV856 ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV381 @ SV856 )
              | ~ ( ord_le1315653386_c_c_o
                  @ ^ [SY1915: sum_sum_c_c] : ( member_Sum_sum_c_c @ SY1915 @ SV381 )
                  @ ^ [SY2608: sum_sum_c_c] : ( member_Sum_sum_c_c @ SY2608 @ SV856 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3469]) ).

thf(3865,plain,
    ! [SV857: set_c,SV382: set_c] :
      ( ( ( ord_less_eq_set_c @ SV382 @ SV857 )
        = $false )
      | ( ( ~ ( ~ ( ord_less_eq_set_c @ SV382 @ SV857 )
              | ~ ( ord_less_eq_c_o
                  @ ^ [SY1918: c] : ( member_c @ SY1918 @ SV382 )
                  @ ^ [SY2610: c] : ( member_c @ SY2610 @ SV857 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3470]) ).

thf(3866,plain,
    ! [SV857: set_c,SV382: set_c] :
      ( ( ( ord_less_eq_c_o
          @ ^ [SY1918: c] : ( member_c @ SY1918 @ SV382 )
          @ ^ [SY2610: c] : ( member_c @ SY2610 @ SV857 ) )
        = $false )
      | ( ( ~ ( ~ ( ord_less_eq_set_c @ SV382 @ SV857 )
              | ~ ( ord_less_eq_c_o
                  @ ^ [SY1918: c] : ( member_c @ SY1918 @ SV382 )
                  @ ^ [SY2610: c] : ( member_c @ SY2610 @ SV857 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3470]) ).

thf(3867,plain,
    ! [SV858: set_Sum_sum_c_d,SV383: set_Sum_sum_c_d] :
      ( ( ( ord_le764260924um_c_d @ SV383 @ SV858 )
        = $false )
      | ( ( ~ ( ~ ( ord_le764260924um_c_d @ SV383 @ SV858 )
              | ~ ( ord_le2143422793_c_d_o
                  @ ^ [SY1921: sum_sum_c_d] : ( member_Sum_sum_c_d @ SY1921 @ SV383 )
                  @ ^ [SY2612: sum_sum_c_d] : ( member_Sum_sum_c_d @ SY2612 @ SV858 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3471]) ).

thf(3868,plain,
    ! [SV858: set_Sum_sum_c_d,SV383: set_Sum_sum_c_d] :
      ( ( ( ord_le2143422793_c_d_o
          @ ^ [SY1921: sum_sum_c_d] : ( member_Sum_sum_c_d @ SY1921 @ SV383 )
          @ ^ [SY2612: sum_sum_c_d] : ( member_Sum_sum_c_d @ SY2612 @ SV858 ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le764260924um_c_d @ SV383 @ SV858 )
              | ~ ( ord_le2143422793_c_d_o
                  @ ^ [SY1921: sum_sum_c_d] : ( member_Sum_sum_c_d @ SY1921 @ SV383 )
                  @ ^ [SY2612: sum_sum_c_d] : ( member_Sum_sum_c_d @ SY2612 @ SV858 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3471]) ).

thf(3869,plain,
    ! [SV859: set_Pr1389752855real_c,SV384: set_Pr1389752855real_c] :
      ( ( ( ord_le977353143real_c @ SV384 @ SV859 )
        = $false )
      | ( ( ~ ( ~ ( ord_le977353143real_c @ SV384 @ SV859 )
              | ~ ( ord_le1132241894al_c_o
                  @ ^ [SY1924: produc190496183real_c] : ( member1895684704real_c @ SY1924 @ SV384 )
                  @ ^ [SY2614: produc190496183real_c] : ( member1895684704real_c @ SY2614 @ SV859 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3472]) ).

thf(3870,plain,
    ! [SV859: set_Pr1389752855real_c,SV384: set_Pr1389752855real_c] :
      ( ( ( ord_le1132241894al_c_o
          @ ^ [SY1924: produc190496183real_c] : ( member1895684704real_c @ SY1924 @ SV384 )
          @ ^ [SY2614: produc190496183real_c] : ( member1895684704real_c @ SY2614 @ SV859 ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le977353143real_c @ SV384 @ SV859 )
              | ~ ( ord_le1132241894al_c_o
                  @ ^ [SY1924: produc190496183real_c] : ( member1895684704real_c @ SY1924 @ SV384 )
                  @ ^ [SY2614: produc190496183real_c] : ( member1895684704real_c @ SY2614 @ SV859 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3472]) ).

thf(3871,plain,
    ! [SV860: set_re2066790124real_c,SV385: set_re2066790124real_c] :
      ( ( ( ord_le35002188real_c @ SV385 @ SV860 )
        = $false )
      | ( ( ~ ( ~ ( ord_le35002188real_c @ SV385 @ SV860 )
              | ~ ( ord_le818951225al_c_o
                  @ ^ [SY1927: real > finite1398487019real_c] : ( member1321351885real_c @ SY1927 @ SV385 )
                  @ ^ [SY2616: real > finite1398487019real_c] : ( member1321351885real_c @ SY2616 @ SV860 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3473]) ).

thf(3872,plain,
    ! [SV860: set_re2066790124real_c,SV385: set_re2066790124real_c] :
      ( ( ( ord_le818951225al_c_o
          @ ^ [SY1927: real > finite1398487019real_c] : ( member1321351885real_c @ SY1927 @ SV385 )
          @ ^ [SY2616: real > finite1398487019real_c] : ( member1321351885real_c @ SY2616 @ SV860 ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le35002188real_c @ SV385 @ SV860 )
              | ~ ( ord_le818951225al_c_o
                  @ ^ [SY1927: real > finite1398487019real_c] : ( member1321351885real_c @ SY1927 @ SV385 )
                  @ ^ [SY2616: real > finite1398487019real_c] : ( member1321351885real_c @ SY2616 @ SV860 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3473]) ).

thf(3873,plain,
    ! [SV658: set_Sum_sum_c_c,SV399: set_c,SV93: c > sum_sum_c_c] :
      ( ( ( ~ ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV93 @ SV399 ) @ SV658 )
          | ~ ( member_c_Sum_sum_c_c @ SV93
              @ ( pi_c_Sum_sum_c_c @ SV399
                @ ^ [SY2391: c] : SV658 ) ) )
        = $false )
      | ( ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV93 @ SV399 ) @ SV658 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3474]) ).

thf(3874,plain,
    ! [SV658: set_Sum_sum_c_c,SV399: set_c,SV93: c > sum_sum_c_c] :
      ( ( ( ~ ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV93 @ SV399 ) @ SV658 )
          | ~ ( member_c_Sum_sum_c_c @ SV93
              @ ( pi_c_Sum_sum_c_c @ SV399
                @ ^ [SY2391: c] : SV658 ) ) )
        = $false )
      | ( ( member_c_Sum_sum_c_c @ SV93
          @ ( pi_c_Sum_sum_c_c @ SV399
            @ ^ [SY2391: c] : SV658 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3475]) ).

thf(3875,plain,
    ! [SV659: set_Sum_sum_c_d,SV400: set_c,SV94: c > sum_sum_c_d] :
      ( ( ( ~ ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV94 @ SV400 ) @ SV659 )
          | ~ ( member_c_Sum_sum_c_d @ SV94
              @ ( pi_c_Sum_sum_c_d @ SV400
                @ ^ [SY2392: c] : SV659 ) ) )
        = $false )
      | ( ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV94 @ SV400 ) @ SV659 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3476]) ).

thf(3876,plain,
    ! [SV659: set_Sum_sum_c_d,SV400: set_c,SV94: c > sum_sum_c_d] :
      ( ( ( ~ ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV94 @ SV400 ) @ SV659 )
          | ~ ( member_c_Sum_sum_c_d @ SV94
              @ ( pi_c_Sum_sum_c_d @ SV400
                @ ^ [SY2392: c] : SV659 ) ) )
        = $false )
      | ( ( member_c_Sum_sum_c_d @ SV94
          @ ( pi_c_Sum_sum_c_d @ SV400
            @ ^ [SY2392: c] : SV659 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3477]) ).

thf(3877,plain,
    ! [SV660: set_Fi1407883041real_c,SV401: set_real,SV95: real > finite1398487019real_c] :
      ( ( ( ~ ( ord_le1327118209real_c @ ( image_327677598real_c @ SV95 @ SV401 ) @ SV660 )
          | ~ ( member1321351885real_c @ SV95
              @ ( pi_rea1111636068real_c @ SV401
                @ ^ [SY2393: real] : SV660 ) ) )
        = $false )
      | ( ( ord_le1327118209real_c @ ( image_327677598real_c @ SV95 @ SV401 ) @ SV660 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3478]) ).

thf(3878,plain,
    ! [SV660: set_Fi1407883041real_c,SV401: set_real,SV95: real > finite1398487019real_c] :
      ( ( ( ~ ( ord_le1327118209real_c @ ( image_327677598real_c @ SV95 @ SV401 ) @ SV660 )
          | ~ ( member1321351885real_c @ SV95
              @ ( pi_rea1111636068real_c @ SV401
                @ ^ [SY2393: real] : SV660 ) ) )
        = $false )
      | ( ( member1321351885real_c @ SV95
          @ ( pi_rea1111636068real_c @ SV401
            @ ^ [SY2393: real] : SV660 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3479]) ).

thf(3879,plain,
    ! [SV98: $o] :
      ( ( ( ~ SV98 ) = $false )
      | ( SV98 = $false )
      | ( ( SV98 = $false )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3480]) ).

thf(3880,plain,
    ! [SV98: $o] :
      ( ( ( ~ $true ) = $false )
      | ( SV98 = $false )
      | ( ( SV98 = $false )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3480]) ).

thf(3881,plain,
    ! [SV98: $o] :
      ( ( ( ~ SV98 ) = $false )
      | ( $true = $false )
      | ( ( SV98 = $false )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3481]) ).

thf(3882,plain,
    ! [SV98: $o] :
      ( ( ( ~ $true ) = $false )
      | ( $true = $false )
      | ( ( SV98 = $false )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3481]) ).

thf(3883,plain,
    ! [SV98: $o] :
      ( ( ( ~ SV98
          | ~ $false )
        = $false )
      | ( SV98 = $false )
      | ( ( SV98 = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3482]) ).

thf(3884,plain,
    ! [SV98: $o] :
      ( ( ( ~ SV98
          | ~ $false )
        = $false )
      | ( $false = $false )
      | ( ( SV98 = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3483]) ).

thf(3885,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3484]) ).

thf(3886,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3484]) ).

thf(3887,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3485]) ).

thf(3888,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3485]) ).

thf(3889,plain,
    ( ( ( ~ $true
        | ~ $false )
      = $false )
    | ( $true = $false )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3486]) ).

thf(3890,plain,
    ( ( ( ~ $true
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3487]) ).

thf(3891,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3488]) ).

thf(3892,plain,
    ( ( ( ~ $true ) = $false )
    | ( $false = $false )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3488]) ).

thf(3893,plain,
    ( ( ( ~ $false ) = $false )
    | ( $true = $false )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3489]) ).

thf(3894,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3489]) ).

thf(3895,plain,
    ( ( ( ~ $false
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3490]) ).

thf(3896,plain,
    ( ( ( ~ $false
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3491]) ).

thf(3897,plain,
    ! [SV662: set_Fi1407883041real_c,SV103: real > finite1398487019real_c,SV408: set_real,SV862: real] :
      ( ( ( member_real @ SV862 @ SV408 )
        = $false )
      | ( ( member1261661570real_c @ ( SV103 @ SV862 ) @ SV662 )
        = $true )
      | ( ( member1321351885real_c @ SV103
          @ ( pi_rea1111636068real_c @ SV408
            @ ^ [SY2395: real] : SV662 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3494]) ).

thf(3898,plain,
    ! [SV663: sum_sum_c_c > set_c,SV104: sum_sum_c_c > c,SV409: set_Sum_sum_c_c,SV863: sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ SV863 @ SV409 )
        = $false )
      | ( ( member_c @ ( SV104 @ SV863 ) @ ( SV663 @ SV863 ) )
        = $true )
      | ( ( member_Sum_sum_c_c_c @ SV104 @ ( pi_Sum_sum_c_c_c @ SV409 @ SV663 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3495]) ).

thf(3899,plain,
    ! [SV665: set_re2066790124real_c,SV106: ( real > finite1398487019real_c ) > real > finite1398487019real_c,SV411: set_re2066790124real_c,SV864: real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ SV864 @ SV411 )
        = $false )
      | ( ( member1321351885real_c @ ( SV106 @ SV864 ) @ SV665 )
        = $true )
      | ( ( member1851015714real_c @ SV106
          @ ( pi_rea1386151481real_c @ SV411
            @ ^ [SY2398: real > finite1398487019real_c] : SV665 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3497]) ).

thf(3900,plain,
    ! [SV865: finite1398487019real_c,SV666: finite1398487019real_c,SV412: finite1398487019real_c,SV107: finite1398487019real_c] :
      ( ( ( ( produc394644079real_c @ SV107 @ SV412 )
          = ( produc394644079real_c @ SV666 @ SV865 ) )
        = $false )
      | ( ( ~ ( ( ( produc394644079real_c @ SV107 @ SV412 )
               != ( produc394644079real_c @ SV666 @ SV865 ) )
              | ~ ~ ( ( SV107 != SV666 )
                    | ( SV412 != SV865 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3498]) ).

thf(3901,plain,
    ! [SV865: finite1398487019real_c,SV412: finite1398487019real_c,SV666: finite1398487019real_c,SV107: finite1398487019real_c] :
      ( ( ( ~ ( ( SV107 != SV666 )
              | ( SV412 != SV865 ) ) )
        = $false )
      | ( ( ~ ( ( ( produc394644079real_c @ SV107 @ SV412 )
               != ( produc394644079real_c @ SV666 @ SV865 ) )
              | ~ ~ ( ( SV107 != SV666 )
                    | ( SV412 != SV865 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3498]) ).

thf(3902,plain,
    ! [SV668: set_c,SV414: c > sum_sum_c_d,SV109: set_Sum_sum_c_d] :
      ( ( ( ~ ( ord_le764260924um_c_d @ SV109 @ ( image_c_Sum_sum_c_d @ SV414 @ SV668 ) )
          | ~ ~ ! [SY2402: set_c] :
                  ~ ~ ( ~ ( ord_less_eq_set_c @ SY2402 @ SV668 )
                      | ( SV109
                       != ( image_c_Sum_sum_c_d @ SV414 @ SY2402 ) ) ) )
        = $false )
      | ( ( ord_le764260924um_c_d @ SV109 @ ( image_c_Sum_sum_c_d @ SV414 @ SV668 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3499]) ).

thf(3903,plain,
    ! [SV414: c > sum_sum_c_d,SV109: set_Sum_sum_c_d,SV668: set_c] :
      ( ( ( ! [SY2402: set_c] :
              ~ ~ ( ~ ( ord_less_eq_set_c @ SY2402 @ SV668 )
                  | ( SV109
                   != ( image_c_Sum_sum_c_d @ SV414 @ SY2402 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ord_le764260924um_c_d @ SV109 @ ( image_c_Sum_sum_c_d @ SV414 @ SV668 ) )
              | ~ ~ ! [SY2402: set_c] :
                      ~ ~ ( ~ ( ord_less_eq_set_c @ SY2402 @ SV668 )
                          | ( SV109
                           != ( image_c_Sum_sum_c_d @ SV414 @ SY2402 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3500]) ).

thf(3904,plain,
    ! [SV110: produc190496183real_c,SV415: denota231621370t_unit,SV669: oDE_a_c,SV866: finite1398487019real_c] :
      ( ( ~ ( denota1997846518gree_c @ ( sK15_SY2621 @ SV866 @ SV669 @ SV415 @ SV110 ) @ SV110 @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ SV415 @ SV669 ) ) )
        | ~ ( denota1997846518gree_c @ ( sK15_SY2621 @ SV866 @ SV669 @ SV415 @ SV110 ) @ ( denota1896987029_a_b_c @ SV415 @ SV669 @ SV866 ) @ ( denota1293057250_a_b_c @ SV415 @ SV669 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[3501]) ).

thf(3905,plain,
    ( ( ( p = phi )
      = $false )
    | ( ( ~ ( ord_less_eq_real @ zero_zero_real @ t )
        | ( ( produc394644079real_c @ aa @ ba )
         != ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
        | ~ ( initia1631504802real_c @ sol
            @ ^ [SX0: real] : ( denota1275485728_a_b_c @ i @ oDEa )
            @ ( set_or656347191t_real @ zero_zero_real @ t )
            @ ( collec230941376real_c
              @ ^ [SX0: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ SX0 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) )
        | ~ ( denota256060419gree_c @ ( sol @ zero_zero_real ) @ ab
            @ ( collect_c
              @ ^ [SX0: c] :
                  ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_BVO_a_c @ oDEa ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( static_FVO_a_c @ oDEa ) ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_FVF_a_b_c @ phi ) ) ) ) )
        | ( ab
          = ( finite557796307c_real
            @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
      = $true )
    | ( ( ode = oDEa )
      = $false )
    | ( ( fsafe_a_b_c @ phi )
      = $false )
    | ( ( osafe_a_c @ oDEa )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3502]) ).

thf(3906,plain,
    ! [SV670: produc190496183real_c,SV417: produc190496183real_c,SV112: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV112 @ ( set_or385782508real_c @ SV417 @ SV670 ) )
          | ~ ~ ( ~ ( ord_le850691415real_c @ SV417 @ SV112 )
                | ~ ( ord_le850691415real_c @ SV112 @ SV670 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV112 @ ( set_or385782508real_c @ SV417 @ SV670 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3503]) ).

thf(3907,plain,
    ! [SV670: produc190496183real_c,SV112: produc190496183real_c,SV417: produc190496183real_c] :
      ( ( ( ~ ( ord_le850691415real_c @ SV417 @ SV112 )
          | ~ ( ord_le850691415real_c @ SV112 @ SV670 ) )
        = $true )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV112 @ ( set_or385782508real_c @ SV417 @ SV670 ) )
              | ~ ~ ( ~ ( ord_le850691415real_c @ SV417 @ SV112 )
                    | ~ ( ord_le850691415real_c @ SV112 @ SV670 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3504]) ).

thf(3908,plain,
    ! [SV418: c > sum_sum_c_d,SV113: sum_sum_c_d,SV867: set_c,SV671: c] :
      ( ( ( member_c @ SV671 @ SV867 )
        = $false )
      | ( ( member_Sum_sum_c_d @ SV113 @ ( image_c_Sum_sum_c_d @ SV418 @ SV867 ) )
        = $true )
      | ( ( SV113
          = ( SV418 @ SV671 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3505]) ).

thf(3909,plain,
    ! [SV672: set_c,SV420: c > sum_sum_c_d,SV115: sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_d @ SV115 @ ( image_c_Sum_sum_c_d @ SV420 @ SV672 ) )
          | ~ ~ ! [SY2406: c] :
                  ~ ~ ( ~ ( member_c @ SY2406 @ SV672 )
                      | ( SV115
                       != ( SV420 @ SY2406 ) ) ) )
        = $false )
      | ( ( member_Sum_sum_c_d @ SV115 @ ( image_c_Sum_sum_c_d @ SV420 @ SV672 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3506]) ).

thf(3910,plain,
    ! [SV420: c > sum_sum_c_d,SV115: sum_sum_c_d,SV672: set_c] :
      ( ( ( ! [SY2406: c] :
              ~ ~ ( ~ ( member_c @ SY2406 @ SV672 )
                  | ( SV115
                   != ( SV420 @ SY2406 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( member_Sum_sum_c_d @ SV115 @ ( image_c_Sum_sum_c_d @ SV420 @ SV672 ) )
              | ~ ~ ! [SY2406: c] :
                      ~ ~ ( ~ ( member_c @ SY2406 @ SV672 )
                          | ( SV115
                           != ( SV420 @ SY2406 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3507]) ).

thf(3911,plain,
    ! [SV116: set_c,SV421: c > real > finite1398487019real_c,SV673: set_re2066790124real_c] :
      ( ( ( member_c @ ( sK16_SY2407 @ SV673 @ SV421 @ SV116 ) @ SV116 )
        = $true )
      | ( ( member469531344real_c @ SV421
          @ ( pi_c_r41638571real_c @ SV116
            @ ^ [SY2408: c] : SV673 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3508]) ).

thf(3912,plain,
    ! [SV674: real,SV422: real,SV117: real] :
      ( ( ( ~ ( member_real @ SV117 @ ( set_or656347191t_real @ SV422 @ SV674 ) )
          | ~ ~ ( ~ ( ord_less_eq_real @ SV422 @ SV117 )
                | ~ ( ord_less_eq_real @ SV117 @ SV674 ) ) )
        = $false )
      | ( ( member_real @ SV117 @ ( set_or656347191t_real @ SV422 @ SV674 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3510]) ).

thf(3913,plain,
    ! [SV674: real,SV117: real,SV422: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV422 @ SV117 )
          | ~ ( ord_less_eq_real @ SV117 @ SV674 ) )
        = $true )
      | ( ( ~ ( ~ ( member_real @ SV117 @ ( set_or656347191t_real @ SV422 @ SV674 ) )
              | ~ ~ ( ~ ( ord_less_eq_real @ SV422 @ SV117 )
                    | ~ ( ord_less_eq_real @ SV117 @ SV674 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3511]) ).

thf(3914,plain,
    ! [SV675: set_Sum_sum_c_c,SV423: sum_sum_c_c > c,SV118: c] :
      ( ( ( SV118
         != ( SV423 @ ( sK62_SY2409 @ SV675 @ SV423 @ SV118 ) ) )
        = $false )
      | ( ( member_c @ SV118 @ ( image_Sum_sum_c_c_c @ SV423 @ SV675 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3512]) ).

thf(3915,plain,
    ! [SV118: c,SV423: sum_sum_c_c > c,SV675: set_Sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sK62_SY2409 @ SV675 @ SV423 @ SV118 ) @ SV675 ) )
        = $false )
      | ( ( member_c @ SV118 @ ( image_Sum_sum_c_c_c @ SV423 @ SV675 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3512]) ).

thf(3916,plain,
    ! [SV961: set_c,SV868: finite1398487019real_c,SV424: finite1398487019real_c] :
      ( ( ( ~ ( ( denota256060419gree_c @ SV424 @ SV868 @ SV961 )
              | ! [SY2672: c] :
                  ( ~ ( member_c @ SY2672 @ SV961 )
                  | ( ( finite772340578real_c @ SV424 @ SY2672 )
                    = ( finite772340578real_c @ SV868 @ SY2672 ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( denota256060419gree_c @ SV424 @ SV868 @ SV961 )
              | ~ ! [SY2672: c] :
                    ( ~ ( member_c @ SY2672 @ SV961 )
                    | ( ( finite772340578real_c @ SV424 @ SY2672 )
                      = ( finite772340578real_c @ SV868 @ SY2672 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3513]) ).

thf(3917,plain,
    ! [SV120: set_Sum_sum_c_d,SV425: sum_sum_c_d > sum_sum_c_c,SV677: set_Sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_d @ ( sK17_SY2412 @ SV677 @ SV425 @ SV120 ) @ SV120 )
        = $true )
      | ( ( ord_le1772180283um_c_c @ ( image_1558941394um_c_c @ SV425 @ SV120 ) @ SV677 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3515]) ).

thf(3918,plain,
    ! [SV124: set_Sum_sum_c_c,SV429: sum_sum_c_c > sum_sum_c_d,SV679: sum_sum_c_c > set_Sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_c @ ( sK18_SY2415 @ SV679 @ SV429 @ SV124 ) @ SV124 )
        = $true )
      | ( ( member318754689um_c_d @ SV429 @ ( pi_Sum261268376um_c_d @ SV124 @ SV679 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3517]) ).

thf(3919,plain,
    ! [SV869: set_Sum_sum_c_d,SV430: set_Sum_sum_c_d] :
      ( ( ( ord_le764260924um_c_d @ SV430 @ SV869 )
        = $false )
      | ( ( ~ ( ~ ( ord_le764260924um_c_d @ SV430 @ SV869 )
              | ~ ! [SY2624: sum_sum_c_d] :
                    ( ~ ( member_Sum_sum_c_d @ SY2624 @ SV430 )
                    | ( member_Sum_sum_c_d @ SY2624 @ SV869 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3519]) ).

thf(3920,plain,
    ! [SV869: set_Sum_sum_c_d,SV430: set_Sum_sum_c_d] :
      ( ( ( ! [SY2624: sum_sum_c_d] :
              ( ~ ( member_Sum_sum_c_d @ SY2624 @ SV430 )
              | ( member_Sum_sum_c_d @ SY2624 @ SV869 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le764260924um_c_d @ SV430 @ SV869 )
              | ~ ! [SY2624: sum_sum_c_d] :
                    ( ~ ( member_Sum_sum_c_d @ SY2624 @ SV430 )
                    | ( member_Sum_sum_c_d @ SY2624 @ SV869 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3519]) ).

thf(3921,plain,
    ! [SV126: set_Sum_sum_c_d,SV431: sum_sum_c_d > c,SV681: sum_sum_c_d > set_c] :
      ( ( ( member_Sum_sum_c_d @ ( sK19_SY2417 @ SV681 @ SV431 @ SV126 ) @ SV126 )
        = $true )
      | ( ( member_Sum_sum_c_d_c @ SV431 @ ( pi_Sum_sum_c_d_c @ SV126 @ SV681 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3520]) ).

thf(3922,plain,
    ! [SV129: c > sum_sum_c_c,SV434: set_c,SV683: sum_sum_c_c > $o] :
      ( ( ( member_Sum_sum_c_c @ ( sK20_SY2418 @ SV683 @ SV434 @ SV129 ) @ ( image_c_Sum_sum_c_c @ SV129 @ SV434 ) )
        = $true )
      | ( ( ! [SY2419: c] :
              ( ~ ( member_c @ SY2419 @ SV434 )
              | ( SV683 @ ( SV129 @ SY2419 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3522]) ).

thf(3923,plain,
    ! [SV129: c > sum_sum_c_c,SV683: sum_sum_c_c > $o,SV434: set_c,SV971: c] :
      ( ( ( ~ ( member_c @ SV971 @ SV434 )
          | ( SV683 @ ( SV129 @ SV971 ) ) )
        = $true )
      | ( ( SV683 @ ( sK20_SY2418 @ SV683 @ SV434 @ SV129 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3523]) ).

thf(3924,plain,
    ! [SV130: set_Sum_sum_c_c,SV435: sum_sum_c_c > sum_sum_c_d,SV684: set_Sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_c @ ( sK21_SY2420 @ SV684 @ SV435 @ SV130 ) @ SV130 )
        = $true )
      | ( ( ord_le764260924um_c_d @ ( image_675141842um_c_d @ SV435 @ SV130 ) @ SV684 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3524]) ).

thf(3925,plain,
    ! [SV685: c > set_Sum_sum_c_c,SV131: c > sum_sum_c_c,SV436: set_c,SV870: c] :
      ( ( ( member_c @ SV870 @ SV436 )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( SV131 @ SV870 ) @ ( SV685 @ SV870 ) )
        = $true )
      | ( ( member_c_Sum_sum_c_c @ SV131 @ ( pi_c_Sum_sum_c_c @ SV436 @ SV685 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3526]) ).

thf(3926,plain,
    ! [SV871: set_re2066790124real_c,SV437: set_re2066790124real_c] :
      ( ( ( ord_le35002188real_c @ SV437 @ SV871 )
        = $false )
      | ( ( ~ ( ~ ( ord_le35002188real_c @ SV437 @ SV871 )
              | ~ ! [SY2625: real > finite1398487019real_c] :
                    ( ~ ( member1321351885real_c @ SY2625 @ SV437 )
                    | ( member1321351885real_c @ SY2625 @ SV871 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3527]) ).

thf(3927,plain,
    ! [SV871: set_re2066790124real_c,SV437: set_re2066790124real_c] :
      ( ( ( ! [SY2625: real > finite1398487019real_c] :
              ( ~ ( member1321351885real_c @ SY2625 @ SV437 )
              | ( member1321351885real_c @ SY2625 @ SV871 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le35002188real_c @ SV437 @ SV871 )
              | ~ ! [SY2625: real > finite1398487019real_c] :
                    ( ~ ( member1321351885real_c @ SY2625 @ SV437 )
                    | ( member1321351885real_c @ SY2625 @ SV871 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3527]) ).

thf(3928,plain,
    ! [SV687: c > set_Sum_sum_c_d,SV133: c > sum_sum_c_d,SV438: set_c,SV872: c] :
      ( ( ( member_c @ SV872 @ SV438 )
        = $false )
      | ( ( member_Sum_sum_c_d @ ( SV133 @ SV872 ) @ ( SV687 @ SV872 ) )
        = $true )
      | ( ( member_c_Sum_sum_c_d @ SV133 @ ( pi_c_Sum_sum_c_d @ SV438 @ SV687 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3528]) ).

thf(3929,plain,
    ! [SV439: set_c,SV688: c > set_Sum_sum_c_d,SV873: c,SV134: c > sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_d @ ( SV134 @ SV873 ) @ ( SV688 @ SV873 ) ) )
        = $false )
      | ( ( ~ ( member_c @ SV873 @ SV439 ) )
        = $true )
      | ( ( member_c_Sum_sum_c_d @ SV134 @ ( pi_c_Sum_sum_c_d @ SV439 @ SV688 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3529]) ).

thf(3930,plain,
    ! [SV136: set_c,SV441: c > c,SV689: set_c] :
      ( ( ( member_c @ ( sK23_SY2425 @ SV689 @ SV441 @ SV136 ) @ SV136 )
        = $true )
      | ( ( member_c_c @ SV441
          @ ( pi_c_c @ SV136
            @ ^ [SY2426: c] : SV689 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3530]) ).

thf(3931,plain,
    ! [SV442: finite1398487019real_c > $o,SV137: finite1398487019real_c > $o] :
      ( ( ( ( SV137 @ ( sK6_SY2016 @ SV442 @ SV137 ) )
          | ( SV442 @ ( sK6_SY2016 @ SV442 @ SV137 ) ) )
        = $true )
      | ( ( ( collec230941376real_c @ SV137 )
          = ( collec230941376real_c @ SV442 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3532]) ).

thf(3932,plain,
    ! [SV442: finite1398487019real_c > $o,SV137: finite1398487019real_c > $o] :
      ( ( ( ~ ( SV137 @ ( sK6_SY2016 @ SV442 @ SV137 ) )
          | ~ ( SV442 @ ( sK6_SY2016 @ SV442 @ SV137 ) ) )
        = $true )
      | ( ( ( collec230941376real_c @ SV137 )
          = ( collec230941376real_c @ SV442 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3533]) ).

thf(3933,plain,
    ! [SV690: set_c,SV139: ( real > finite1398487019real_c ) > c,SV444: set_re2066790124real_c,SV874: real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ SV874 @ SV444 )
        = $false )
      | ( ( member_c @ ( SV139 @ SV874 ) @ SV690 )
        = $true )
      | ( ( member527957930al_c_c @ SV139
          @ ( pi_rea1228756413al_c_c @ SV444
            @ ^ [SY2428: real > finite1398487019real_c] : SV690 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3534]) ).

thf(3934,plain,
    ! [SV691: set_c,SV445: c > c,SV140: c] :
      ( ( ( SV140
         != ( SV445 @ ( sK63_SY2429 @ SV691 @ SV445 @ SV140 ) ) )
        = $false )
      | ( ( member_c @ SV140 @ ( image_c_c @ SV445 @ SV691 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3535]) ).

thf(3935,plain,
    ! [SV140: c,SV445: c > c,SV691: set_c] :
      ( ( ( ~ ( member_c @ ( sK63_SY2429 @ SV691 @ SV445 @ SV140 ) @ SV691 ) )
        = $false )
      | ( ( member_c @ SV140 @ ( image_c_c @ SV445 @ SV691 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3535]) ).

thf(3936,plain,
    ! [SV446: finite1398487019real_c > $o,SV141: finite1398487019real_c > $o] :
      ( ( ( ~ ( ord_le1327118209real_c @ ( collec230941376real_c @ SV141 ) @ ( collec230941376real_c @ SV446 ) ) )
        = $false )
      | ( ( ord_le1327118209real_c @ ( collec230941376real_c @ SV141 ) @ ( collec230941376real_c @ SV446 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3536]) ).

thf(3937,plain,
    ! [SV446: finite1398487019real_c > $o,SV141: finite1398487019real_c > $o] :
      ( ( ( ~ ! [SY2024: finite1398487019real_c] :
                ( ~ ( SV141 @ SY2024 )
                | ( SV446 @ SY2024 ) ) )
        = $false )
      | ( ( ord_le1327118209real_c @ ( collec230941376real_c @ SV141 ) @ ( collec230941376real_c @ SV446 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3536]) ).

thf(3938,plain,
    ! [SV446: finite1398487019real_c > $o,SV141: finite1398487019real_c > $o] :
      ( ( ( ~ ( SV141 @ ( sK64_SY2024 @ SV446 @ SV141 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le1327118209real_c @ ( collec230941376real_c @ SV141 ) @ ( collec230941376real_c @ SV446 ) )
              | ~ ! [SY2024: finite1398487019real_c] :
                    ( ~ ( SV141 @ SY2024 )
                    | ( SV446 @ SY2024 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3537]) ).

thf(3939,plain,
    ! [SV141: finite1398487019real_c > $o,SV446: finite1398487019real_c > $o] :
      ( ( ( SV446 @ ( sK64_SY2024 @ SV446 @ SV141 ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le1327118209real_c @ ( collec230941376real_c @ SV141 ) @ ( collec230941376real_c @ SV446 ) )
              | ~ ! [SY2024: finite1398487019real_c] :
                    ( ~ ( SV141 @ SY2024 )
                    | ( SV446 @ SY2024 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3537]) ).

thf(3940,plain,
    ! [SV692: set_c,SV447: c > sum_sum_c_d,SV142: sum_sum_c_d] :
      ( ( ( SV142
         != ( SV447 @ ( sK65_SY2430 @ SV692 @ SV447 @ SV142 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_d @ SV142 @ ( image_c_Sum_sum_c_d @ SV447 @ SV692 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3538]) ).

thf(3941,plain,
    ! [SV142: sum_sum_c_d,SV447: c > sum_sum_c_d,SV692: set_c] :
      ( ( ( ~ ( member_c @ ( sK65_SY2430 @ SV692 @ SV447 @ SV142 ) @ SV692 ) )
        = $false )
      | ( ( member_Sum_sum_c_d @ SV142 @ ( image_c_Sum_sum_c_d @ SV447 @ SV692 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3538]) ).

thf(3942,plain,
    ! [SV143: set_real,SV448: real > finite1398487019real_c,SV693: real > finite1398487019real_c,SV875: real > set_Fi1407883041real_c] :
      ( ( ( ~ ( member_real @ ( sK66_SY2432 @ SV875 @ SV693 @ SV448 @ SV143 ) @ SV143 ) )
        = $false )
      | ( ( ( member1321351885real_c @ SV448 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) )
          = ( member1321351885real_c @ SV693 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3539]) ).

thf(3943,plain,
    ! [SV143: set_real,SV693: real > finite1398487019real_c,SV875: real > set_Fi1407883041real_c,SV448: real > finite1398487019real_c] :
      ( ( ( ( SV448 @ ( sK66_SY2432 @ SV875 @ SV693 @ SV448 @ SV143 ) )
          = ( SV693 @ ( sK66_SY2432 @ SV875 @ SV693 @ SV448 @ SV143 ) ) )
        = $false )
      | ( ( ( member1321351885real_c @ SV448 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) )
          = ( member1321351885real_c @ SV693 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3539]) ).

thf(3944,plain,
    ! [SV144: set_Sum_sum_c_d,SV449: sum_sum_c_d > c,SV694: set_c] :
      ( ( ( member_Sum_sum_c_d @ ( sK25_SY2433 @ SV694 @ SV449 @ SV144 ) @ SV144 )
        = $true )
      | ( ( ord_less_eq_set_c @ ( image_Sum_sum_c_d_c @ SV449 @ SV144 ) @ SV694 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3540]) ).

thf(3945,plain,
    ! [SV450: set_Sum_sum_c_c,SV695: sum_sum_c_c > set_Sum_sum_c_d,SV876: sum_sum_c_c,SV145: sum_sum_c_c > sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_d @ ( SV145 @ SV876 ) @ ( SV695 @ SV876 ) ) )
        = $false )
      | ( ( ~ ( member_Sum_sum_c_c @ SV876 @ SV450 ) )
        = $true )
      | ( ( member318754689um_c_d @ SV145 @ ( pi_Sum261268376um_c_d @ SV450 @ SV695 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3542]) ).

thf(3946,plain,
    ! [SV451: set_real,SV696: real > set_Fi1407883041real_c,SV877: real,SV146: real > finite1398487019real_c] :
      ( ( ( ~ ( member1261661570real_c @ ( SV146 @ SV877 ) @ ( SV696 @ SV877 ) ) )
        = $false )
      | ( ( ~ ( member_real @ SV877 @ SV451 ) )
        = $true )
      | ( ( member1321351885real_c @ SV146 @ ( pi_rea1111636068real_c @ SV451 @ SV696 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3543]) ).

thf(3947,plain,
    ! [SV697: set_Sum_sum_c_c,SV147: ( real > finite1398487019real_c ) > sum_sum_c_c,SV452: set_re2066790124real_c,SV878: real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ SV878 @ SV452 )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( SV147 @ SV878 ) @ SV697 )
        = $true )
      | ( ( member354622481um_c_c @ SV147
          @ ( pi_rea1500330408um_c_c @ SV452
            @ ^ [SY2437: real > finite1398487019real_c] : SV697 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3544]) ).

thf(3948,plain,
    ! [SV453: set_Sum_sum_c_d,SV149: sum_sum_c_d,SV879: sum_sum_c_d > sum_sum_c_c,SV698: sum_sum_c_c] :
      ( ( ( SV698
          = ( SV879 @ SV149 ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ SV698 @ ( image_1558941394um_c_c @ SV879 @ SV453 ) )
        = $true )
      | ( ( member_Sum_sum_c_d @ SV149 @ SV453 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3546]) ).

thf(3949,plain,
    ! [SV699: set_Sum_sum_c_d,SV454: set_c,SV150: c > sum_sum_c_d] :
      ( ( ( ~ ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV150 @ SV454 ) @ SV699 )
          | ~ ! [SY2440: c] :
                ( ~ ( member_c @ SY2440 @ SV454 )
                | ( member_Sum_sum_c_d @ ( SV150 @ SY2440 ) @ SV699 ) ) )
        = $false )
      | ( ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV150 @ SV454 ) @ SV699 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3547]) ).

thf(3950,plain,
    ! [SV454: set_c,SV150: c > sum_sum_c_d,SV699: set_Sum_sum_c_d] :
      ( ( ( ~ ( member_c @ ( sK78_SY2440 @ SV699 @ SV150 @ SV454 ) @ SV454 )
          | ( member_Sum_sum_c_d @ ( SV150 @ ( sK78_SY2440 @ SV699 @ SV150 @ SV454 ) ) @ SV699 ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV150 @ SV454 ) @ SV699 )
              | ~ ! [SY2440: c] :
                    ( ~ ( member_c @ SY2440 @ SV454 )
                    | ( member_Sum_sum_c_d @ ( SV150 @ SY2440 ) @ SV699 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[3548]) ).

thf(3951,plain,
    ! [SV455: c > sum_sum_c_c,SV151: sum_sum_c_c,SV880: set_c,SV700: c] :
      ( ( ( member_c @ SV700 @ SV880 )
        = $false )
      | ( ( member_Sum_sum_c_c @ SV151 @ ( image_c_Sum_sum_c_c @ SV455 @ SV880 ) )
        = $true )
      | ( ( SV151
          = ( SV455 @ SV700 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3549]) ).

thf(3952,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          = ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false )
      | ( ( ~ ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
               != ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
              | ~ ~ ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
                        | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
                    | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
                        | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3550]) ).

thf(3953,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
                  | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
              | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
                  | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) ) )
        = $false )
      | ( ( ~ ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
               != ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
              | ~ ~ ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
                        | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
                    | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
                        | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3550]) ).

thf(3954,plain,
    ! [SV459: set_Sum_sum_c_d,SV702: sum_sum_c_d > set_Sum_sum_c_c,SV882: sum_sum_c_d,SV155: sum_sum_c_d > sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( SV155 @ SV882 ) @ ( SV702 @ SV882 ) ) )
        = $false )
      | ( ( ~ ( member_Sum_sum_c_d @ SV882 @ SV459 ) )
        = $true )
      | ( ( member71251457um_c_c @ SV155 @ ( pi_Sum1145067928um_c_c @ SV459 @ SV702 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3551]) ).

thf(3955,plain,
    ! [SV157: set_c,SV461: c > c,SV703: set_c] :
      ( ( ( member_c @ ( sK27_SY2444 @ SV703 @ SV461 @ SV157 ) @ SV157 )
        = $true )
      | ( ( ord_less_eq_set_c @ ( image_c_c @ SV461 @ SV157 ) @ SV703 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3552]) ).

thf(3956,plain,
    ! [SV462: produc190496183real_c,SV158: produc190496183real_c] :
      ( ( ( ( produc314122909real_c @ SV158 )
          = ( produc314122909real_c @ SV462 ) )
        = $false )
      | ( ( ( produc2010422875real_c @ SV158 )
          = ( produc2010422875real_c @ SV462 ) )
        = $false )
      | ( ( SV158 = SV462 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3554]) ).

thf(3957,plain,
    ! [SV159: set_c,SV463: c > sum_sum_c_d,SV704: set_Sum_sum_c_d] :
      ( ( ( member_c @ ( sK28_SY2445 @ SV704 @ SV463 @ SV159 ) @ SV159 )
        = $true )
      | ( ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV463 @ SV159 ) @ SV704 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3555]) ).

thf(3958,plain,
    ! [SV706: set_Sum_sum_c_c,SV465: set_c,SV161: c > sum_sum_c_c] :
      ( ( ( ~ ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV161 @ SV465 ) @ SV706 )
          | ~ ! [SY2448: c] :
                ( ~ ( member_c @ SY2448 @ SV465 )
                | ( member_Sum_sum_c_c @ ( SV161 @ SY2448 ) @ SV706 ) ) )
        = $false )
      | ( ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV161 @ SV465 ) @ SV706 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3557]) ).

thf(3959,plain,
    ! [SV465: set_c,SV161: c > sum_sum_c_c,SV706: set_Sum_sum_c_c] :
      ( ( ( ~ ( member_c @ ( sK79_SY2448 @ SV706 @ SV161 @ SV465 ) @ SV465 )
          | ( member_Sum_sum_c_c @ ( SV161 @ ( sK79_SY2448 @ SV706 @ SV161 @ SV465 ) ) @ SV706 ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV161 @ SV465 ) @ SV706 )
              | ~ ! [SY2448: c] :
                    ( ~ ( member_c @ SY2448 @ SV465 )
                    | ( member_Sum_sum_c_c @ ( SV161 @ SY2448 ) @ SV706 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[3558]) ).

thf(3960,plain,
    ! [SV883: real,SV708: real,SV467: real,SV163: real] :
      ( ( ( ( set_or656347191t_real @ SV163 @ SV467 )
          = ( set_or656347191t_real @ SV708 @ SV883 ) )
        = $false )
      | ( ( ~ ( ( ( set_or656347191t_real @ SV163 @ SV467 )
               != ( set_or656347191t_real @ SV708 @ SV883 ) )
              | ~ ( ~ ( ( SV163 != SV708 )
                      | ( SV467 != SV883 ) )
                  | ~ ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 )
                      | ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3560]) ).

thf(3961,plain,
    ! [SV883: real,SV467: real,SV708: real,SV163: real] :
      ( ( ( ~ ( ( SV163 != SV708 )
              | ( SV467 != SV883 ) )
          | ~ ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 )
              | ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) ) )
        = $false )
      | ( ( ~ ( ( ( set_or656347191t_real @ SV163 @ SV467 )
               != ( set_or656347191t_real @ SV708 @ SV883 ) )
              | ~ ( ~ ( ( SV163 != SV708 )
                      | ( SV467 != SV883 ) )
                  | ~ ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 )
                      | ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3560]) ).

thf(3962,plain,
    ! [SV170: set_Sum_sum_c_d,SV474: sum_sum_c_d > sum_sum_c_d,SV713: set_Sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ ( sK29_SY2456 @ SV713 @ SV474 @ SV170 ) @ SV170 )
        = $true )
      | ( ( ord_le764260924um_c_d @ ( image_1567202899um_c_d @ SV474 @ SV170 ) @ SV713 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3563]) ).

thf(3963,plain,
    ! [SV714: sum_sum_c_d > set_c,SV171: sum_sum_c_d > c,SV475: set_Sum_sum_c_d,SV885: sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ SV885 @ SV475 )
        = $false )
      | ( ( member_c @ ( SV171 @ SV885 ) @ ( SV714 @ SV885 ) )
        = $true )
      | ( ( member_Sum_sum_c_d_c @ SV171 @ ( pi_Sum_sum_c_d_c @ SV475 @ SV714 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3565]) ).

thf(3964,plain,
    ! [SV175: set_Sum_sum_c_c,SV478: sum_sum_c_c > sum_sum_c_c,SV717: set_Sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ ( sK30_SY2458 @ SV717 @ SV478 @ SV175 ) @ SV175 )
        = $true )
      | ( ( member1326674048um_c_c @ SV478
          @ ( pi_Sum253006871um_c_c @ SV175
            @ ^ [SY2459: sum_sum_c_c] : SV717 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3567]) ).

thf(3965,plain,
    ! [SV177: set_real,SV480: real > finite1398487019real_c,SV718: real > set_Fi1407883041real_c] :
      ( ( ( member_real @ ( sK31_SY2460 @ SV718 @ SV480 @ SV177 ) @ SV177 )
        = $true )
      | ( ( member1321351885real_c @ SV480 @ ( pi_rea1111636068real_c @ SV177 @ SV718 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3569]) ).

thf(3966,plain,
    ! [SV962: set_Sum_sum_c_c,SV886: produc190496183real_c,SV481: produc190496183real_c] :
      ( ( ( ~ ( ( denota1997846518gree_c @ SV481 @ SV886 @ SV962 )
              | ~ ( ~ ! [SY2673: c] :
                        ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2673 ) @ SV962 )
                        | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2673 )
                          = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2673 ) ) )
                  | ~ ! [SY2674: c] :
                        ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
                        | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                          = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( denota1997846518gree_c @ SV481 @ SV886 @ SV962 )
              | ~ ~ ( ~ ! [SY2673: c] :
                          ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2673 ) @ SV962 )
                          | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2673 )
                            = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2673 ) ) )
                    | ~ ! [SY2674: c] :
                          ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
                          | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                            = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3571]) ).

thf(3967,plain,
    ( ( ( ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
        | ( ( finite772340578real_c
            @ ( produc2010422875real_c
              @ ( denota161327353_a_b_c @ i @ oDEa
                @ ( produc394644079real_c
                  @ ( finite557796307c_real
                    @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                  @ bb )
                @ ( finite557796307c_real
                  @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
            @ i2 )
          = ( finite772340578real_c @ ( sol @ x ) @ i2 ) ) )
      = $true )
    | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3573]) ).

thf(3968,plain,
    ( ( ( ~ ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
        | ( ( finite772340578real_c
            @ ( produc2010422875real_c
              @ ( denota161327353_a_b_c @ i @ oDEa
                @ ( produc394644079real_c
                  @ ( finite557796307c_real
                    @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                  @ bb )
                @ ( finite557796307c_real
                  @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
            @ i2 )
          = ( finite772340578real_c @ ab @ i2 ) ) )
      = $true )
    | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3574]) ).

thf(3969,plain,
    ( ( ( ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
        | ( ( finite772340578real_c
            @ ( produc2010422875real_c
              @ ( denota161327353_a_b_c @ i @ oDEa
                @ ( produc394644079real_c
                  @ ( finite557796307c_real
                    @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                  @ bb )
                @ ( finite557796307c_real
                  @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
            @ i2 )
          = ( finite772340578real_c @ ( sol @ x ) @ i2 ) ) )
      = $true )
    | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3575]) ).

thf(3970,plain,
    ( ( ( ~ ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
        | ( ( finite772340578real_c
            @ ( produc2010422875real_c
              @ ( denota161327353_a_b_c @ i @ oDEa
                @ ( produc394644079real_c
                  @ ( finite557796307c_real
                    @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                  @ bb )
                @ ( finite557796307c_real
                  @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
            @ i2 )
          = ( finite772340578real_c @ ab @ i2 ) ) )
      = $true )
    | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3576]) ).

thf(3971,plain,
    ! [SV180: set_c,SV483: c > c,SV720: c > set_c] :
      ( ( ( member_c @ ( sK32_SY2464 @ SV720 @ SV483 @ SV180 ) @ SV180 )
        = $true )
      | ( ( member_c_c @ SV483 @ ( pi_c_c @ SV180 @ SV720 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3577]) ).

thf(3972,plain,
    ! [SV721: set_c,SV181: set_Sum_sum_c_c,SV484: c > sum_sum_c_c] :
      ( ( ( ~ ( ord_less_eq_set_c @ ( sK67_SY2465 @ SV484 @ SV181 @ SV721 ) @ SV721 ) )
        = $false )
      | ( ( ord_le1772180283um_c_c @ SV181 @ ( image_c_Sum_sum_c_c @ SV484 @ SV721 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3579]) ).

thf(3973,plain,
    ! [SV721: set_c,SV484: c > sum_sum_c_c,SV181: set_Sum_sum_c_c] :
      ( ( ( SV181
         != ( image_c_Sum_sum_c_c @ SV484 @ ( sK67_SY2465 @ SV484 @ SV181 @ SV721 ) ) )
        = $false )
      | ( ( ord_le1772180283um_c_c @ SV181 @ ( image_c_Sum_sum_c_c @ SV484 @ SV721 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3579]) ).

thf(3974,plain,
    ! [SV182: set_Sum_sum_c_d,SV485: sum_sum_c_d > sum_sum_c_c,SV722: set_Sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_d @ ( sK33_SY2466 @ SV722 @ SV485 @ SV182 ) @ SV182 )
        = $true )
      | ( ( member71251457um_c_c @ SV485
          @ ( pi_Sum1145067928um_c_c @ SV182
            @ ^ [SY2467: sum_sum_c_d] : SV722 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3580]) ).

thf(3975,plain,
    ! [SV887: finite1398487019real_c,SV724: finite1398487019real_c,SV487: finite1398487019real_c,SV184: finite1398487019real_c] :
      ( ( ( ( produc394644079real_c @ SV184 @ SV487 )
          = ( produc394644079real_c @ SV724 @ SV887 ) )
        = $false )
      | ( ( ~ ( ( ( produc394644079real_c @ SV184 @ SV487 )
               != ( produc394644079real_c @ SV724 @ SV887 ) )
              | ~ ~ ( ( SV184 != SV724 )
                    | ( SV487 != SV887 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3583]) ).

thf(3976,plain,
    ! [SV887: finite1398487019real_c,SV487: finite1398487019real_c,SV724: finite1398487019real_c,SV184: finite1398487019real_c] :
      ( ( ( ~ ( ( SV184 != SV724 )
              | ( SV487 != SV887 ) ) )
        = $false )
      | ( ( ~ ( ( ( produc394644079real_c @ SV184 @ SV487 )
               != ( produc394644079real_c @ SV724 @ SV887 ) )
              | ~ ~ ( ( SV184 != SV724 )
                    | ( SV487 != SV887 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3583]) ).

thf(3977,plain,
    ! [SV186: set_Sum_sum_c_c,SV489: sum_sum_c_c > sum_sum_c_d,SV726: sum_sum_c_c > set_Sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_c @ ( sK34_SY2469 @ SV726 @ SV489 @ SV186 ) @ SV186 )
        = $true )
      | ( ( member318754689um_c_d @ SV489 @ ( pi_Sum261268376um_c_d @ SV186 @ SV726 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3584]) ).

thf(3978,plain,
    ! [SV889: set_Sum_sum_c_c,SV494: set_Sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ SV494 @ SV889 )
        = $false )
      | ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV494 @ SV889 )
              | ~ ! [SY2635: sum_sum_c_c] :
                    ( ~ ( member_Sum_sum_c_c @ SY2635 @ SV494 )
                    | ( member_Sum_sum_c_c @ SY2635 @ SV889 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3588]) ).

thf(3979,plain,
    ! [SV889: set_Sum_sum_c_c,SV494: set_Sum_sum_c_c] :
      ( ( ( ! [SY2635: sum_sum_c_c] :
              ( ~ ( member_Sum_sum_c_c @ SY2635 @ SV494 )
              | ( member_Sum_sum_c_c @ SY2635 @ SV889 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV494 @ SV889 )
              | ~ ! [SY2635: sum_sum_c_c] :
                    ( ~ ( member_Sum_sum_c_c @ SY2635 @ SV494 )
                    | ( member_Sum_sum_c_c @ SY2635 @ SV889 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3588]) ).

thf(3980,plain,
    ! [SV496: set_Sum_sum_c_c,SV193: sum_sum_c_c,SV890: sum_sum_c_c > c,SV730: c] :
      ( ( ( SV730
          = ( SV890 @ SV193 ) )
        = $false )
      | ( ( member_c @ SV730 @ ( image_Sum_sum_c_c_c @ SV890 @ SV496 ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ SV193 @ SV496 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3589]) ).

thf(3981,plain,
    ! [SV194: set_Sum_sum_c_c,SV497: sum_sum_c_c > c,SV731: set_c] :
      ( ( ( member_Sum_sum_c_c @ ( sK35_SY2473 @ SV731 @ SV497 @ SV194 ) @ SV194 )
        = $true )
      | ( ( ord_less_eq_set_c @ ( image_Sum_sum_c_c_c @ SV497 @ SV194 ) @ SV731 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3590]) ).

thf(3982,plain,
    ! [SV498: finite1398487019real_c,SV195: finite1398487019real_c,SV891: finite1398487019real_c,SV732: finite1398487019real_c] :
      ( ( ( ord_le775706699real_c @ SV732 @ SV891 )
        = $false )
      | ( ( ord_le850691415real_c @ ( produc394644079real_c @ SV195 @ SV732 ) @ ( produc394644079real_c @ SV498 @ SV891 ) )
        = $true )
      | ( ( ord_le775706699real_c @ SV195 @ SV498 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3592]) ).

thf(3983,plain,
    ! [SV733: set_Sum_sum_c_d,SV499: sum_sum_c_d > sum_sum_c_c,SV196: sum_sum_c_c] :
      ( ( ( SV196
         != ( SV499 @ ( sK68_SY2475 @ SV733 @ SV499 @ SV196 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ SV196 @ ( image_1558941394um_c_c @ SV499 @ SV733 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3593]) ).

thf(3984,plain,
    ! [SV196: sum_sum_c_c,SV499: sum_sum_c_d > sum_sum_c_c,SV733: set_Sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_d @ ( sK68_SY2475 @ SV733 @ SV499 @ SV196 ) @ SV733 ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ SV196 @ ( image_1558941394um_c_c @ SV499 @ SV733 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3593]) ).

thf(3985,plain,
    ! [SV197: set_c,SV500: c > real > finite1398487019real_c,SV734: c > set_re2066790124real_c] :
      ( ( ( member_c @ ( sK36_SY2476 @ SV734 @ SV500 @ SV197 ) @ SV197 )
        = $true )
      | ( ( member469531344real_c @ SV500 @ ( pi_c_r41638571real_c @ SV197 @ SV734 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3594]) ).

thf(3986,plain,
    ! [SV892: set_Sum_sum_c_c,SV501: set_Sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ SV501 @ SV892 )
        = $false )
      | ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV501 @ SV892 )
              | ~ ! [SY2636: sum_sum_c_c] :
                    ( ~ ( member_Sum_sum_c_c @ SY2636 @ SV501 )
                    | ( member_Sum_sum_c_c @ SY2636 @ SV892 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3596]) ).

thf(3987,plain,
    ! [SV892: set_Sum_sum_c_c,SV501: set_Sum_sum_c_c] :
      ( ( ( ! [SY2636: sum_sum_c_c] :
              ( ~ ( member_Sum_sum_c_c @ SY2636 @ SV501 )
              | ( member_Sum_sum_c_c @ SY2636 @ SV892 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV501 @ SV892 )
              | ~ ! [SY2636: sum_sum_c_c] :
                    ( ~ ( member_Sum_sum_c_c @ SY2636 @ SV501 )
                    | ( member_Sum_sum_c_c @ SY2636 @ SV892 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3596]) ).

thf(3988,plain,
    ! [SV503: set_Sum_sum_c_d,SV736: sum_sum_c_d > set_c,SV893: sum_sum_c_d,SV200: sum_sum_c_d > c] :
      ( ( ( ~ ( member_c @ ( SV200 @ SV893 ) @ ( SV736 @ SV893 ) ) )
        = $false )
      | ( ( ~ ( member_Sum_sum_c_d @ SV893 @ SV503 ) )
        = $true )
      | ( ( member_Sum_sum_c_d_c @ SV200 @ ( pi_Sum_sum_c_d_c @ SV503 @ SV736 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3598]) ).

thf(3989,plain,
    ! [SV737: real > set_Fi1407883041real_c,SV203: real > finite1398487019real_c,SV506: set_real,SV894: real] :
      ( ( ( member_real @ SV894 @ SV506 )
        = $false )
      | ( ( member1261661570real_c @ ( SV203 @ SV894 ) @ ( SV737 @ SV894 ) )
        = $true )
      | ( ( member1321351885real_c @ SV203 @ ( pi_rea1111636068real_c @ SV506 @ SV737 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3599]) ).

thf(3990,plain,
    ! [SV204: set_Sum_sum_c_c,SV507: set_Sum_sum_c_c,SV895: produc190496183real_c,SV738: produc190496183real_c] :
      ( ( ( denota1997846518gree_c @ SV738 @ SV895 @ SV507 )
        = $false )
      | ( ( denota1997846518gree_c @ SV738 @ SV895 @ SV204 )
        = $true )
      | ( ( ord_le1772180283um_c_c @ SV204 @ SV507 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3600]) ).

thf(3991,plain,
    ! [SV739: c > set_re2066790124real_c,SV205: c > real > finite1398487019real_c,SV508: set_c,SV896: c] :
      ( ( ( member_c @ SV896 @ SV508 )
        = $false )
      | ( ( member1321351885real_c @ ( SV205 @ SV896 ) @ ( SV739 @ SV896 ) )
        = $true )
      | ( ( member469531344real_c @ SV205 @ ( pi_c_r41638571real_c @ SV508 @ SV739 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3601]) ).

thf(3992,plain,
    ! [SV509: set_c,SV206: c,SV897: c > sum_sum_c_c,SV740: sum_sum_c_c] :
      ( ( ( SV740
          = ( SV897 @ SV206 ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ SV740 @ ( image_c_Sum_sum_c_c @ SV897 @ SV509 ) )
        = $true )
      | ( ( member_c @ SV206 @ SV509 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3602]) ).

thf(3993,plain,
    ! [SV511: sum_sum_c_d > sum_sum_c_d,SV208: sum_sum_c_d,SV898: set_Sum_sum_c_d,SV741: sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ SV741 @ SV898 )
        = $false )
      | ( ( member_Sum_sum_c_d @ SV208 @ ( image_1567202899um_c_d @ SV511 @ SV898 ) )
        = $true )
      | ( ( SV208
          = ( SV511 @ SV741 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3604]) ).

thf(3994,plain,
    ! [SV209: set_Sum_sum_c_c,SV512: sum_sum_c_c > c,SV742: set_c] :
      ( ( ( member_Sum_sum_c_c @ ( sK37_SY2484 @ SV742 @ SV512 @ SV209 ) @ SV209 )
        = $true )
      | ( ( member_Sum_sum_c_c_c @ SV512
          @ ( pi_Sum_sum_c_c_c @ SV209
            @ ^ [SY2485: sum_sum_c_c] : SV742 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3605]) ).

thf(3995,plain,
    ! [SV899: set_c,SV514: set_c] :
      ( ( ( ord_less_eq_set_c @ SV514 @ SV899 )
        = $false )
      | ( ( ~ ( ~ ( ord_less_eq_set_c @ SV514 @ SV899 )
              | ~ ! [SY2637: c] :
                    ( ~ ( member_c @ SY2637 @ SV514 )
                    | ( member_c @ SY2637 @ SV899 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3607]) ).

thf(3996,plain,
    ! [SV899: set_c,SV514: set_c] :
      ( ( ( ! [SY2637: c] :
              ( ~ ( member_c @ SY2637 @ SV514 )
              | ( member_c @ SY2637 @ SV899 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ord_less_eq_set_c @ SV514 @ SV899 )
              | ~ ! [SY2637: c] :
                    ( ~ ( member_c @ SY2637 @ SV514 )
                    | ( member_c @ SY2637 @ SV899 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3607]) ).

thf(3997,plain,
    ! [SV745: real > finite1398487019real_c,SV515: real > finite1398487019real_c,SV212: real > finite1398487019real_c] :
      ( ( ( ~ ( member1321351885real_c @ SV212 @ ( set_or1308937537real_c @ SV515 @ SV745 ) )
          | ~ ~ ( ~ ( ord_le584953750real_c @ SV515 @ SV212 )
                | ~ ( ord_le584953750real_c @ SV212 @ SV745 ) ) )
        = $false )
      | ( ( member1321351885real_c @ SV212 @ ( set_or1308937537real_c @ SV515 @ SV745 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3608]) ).

thf(3998,plain,
    ! [SV745: real > finite1398487019real_c,SV212: real > finite1398487019real_c,SV515: real > finite1398487019real_c] :
      ( ( ( ~ ( ord_le584953750real_c @ SV515 @ SV212 )
          | ~ ( ord_le584953750real_c @ SV212 @ SV745 ) )
        = $true )
      | ( ( ~ ( ~ ( member1321351885real_c @ SV212 @ ( set_or1308937537real_c @ SV515 @ SV745 ) )
              | ~ ~ ( ~ ( ord_le584953750real_c @ SV515 @ SV212 )
                    | ~ ( ord_le584953750real_c @ SV212 @ SV745 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3609]) ).

thf(3999,plain,
    ! [SV213: c > sum_sum_c_d,SV516: set_c,SV746: sum_sum_c_d > $o] :
      ( ( ( member_Sum_sum_c_d @ ( sK38_SY2489 @ SV746 @ SV516 @ SV213 ) @ ( image_c_Sum_sum_c_d @ SV213 @ SV516 ) )
        = $true )
      | ( ( ! [SY2490: c] :
              ( ~ ( member_c @ SY2490 @ SV516 )
              | ( SV746 @ ( SV213 @ SY2490 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3610]) ).

thf(4000,plain,
    ! [SV213: c > sum_sum_c_d,SV746: sum_sum_c_d > $o,SV516: set_c,SV972: c] :
      ( ( ( ~ ( member_c @ SV972 @ SV516 )
          | ( SV746 @ ( SV213 @ SV972 ) ) )
        = $true )
      | ( ( SV746 @ ( sK38_SY2489 @ SV746 @ SV516 @ SV213 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[3611]) ).

thf(4001,plain,
    ! [SV747: set_c,SV517: c > sum_sum_c_c,SV214: sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ SV214 @ ( image_c_Sum_sum_c_c @ SV517 @ SV747 ) )
          | ~ ~ ! [SY2491: c] :
                  ~ ~ ( ~ ( member_c @ SY2491 @ SV747 )
                      | ( SV214
                       != ( SV517 @ SY2491 ) ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ SV214 @ ( image_c_Sum_sum_c_c @ SV517 @ SV747 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3612]) ).

thf(4002,plain,
    ! [SV517: c > sum_sum_c_c,SV214: sum_sum_c_c,SV747: set_c] :
      ( ( ( ! [SY2491: c] :
              ~ ~ ( ~ ( member_c @ SY2491 @ SV747 )
                  | ( SV214
                   != ( SV517 @ SY2491 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( member_Sum_sum_c_c @ SV214 @ ( image_c_Sum_sum_c_c @ SV517 @ SV747 ) )
              | ~ ~ ! [SY2491: c] :
                      ~ ~ ( ~ ( member_c @ SY2491 @ SV747 )
                          | ( SV214
                           != ( SV517 @ SY2491 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3613]) ).

thf(4003,plain,
    ! [SV748: c > set_c,SV215: c > c,SV518: set_c,SV900: c] :
      ( ( ( member_c @ SV900 @ SV518 )
        = $false )
      | ( ( member_c @ ( SV215 @ SV900 ) @ ( SV748 @ SV900 ) )
        = $true )
      | ( ( member_c_c @ SV215 @ ( pi_c_c @ SV518 @ SV748 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3614]) ).

thf(4004,plain,
    ( ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $true )
    | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $true )
    | ( ( ~ ( ~ ( ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
                | ( ( finite772340578real_c
                    @ ( produc2010422875real_c
                      @ ( denota161327353_a_b_c @ i @ oDEa
                        @ ( produc394644079real_c
                          @ ( finite557796307c_real
                            @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                          @ bb )
                        @ ( finite557796307c_real
                          @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
                    @ i2 )
                  = ( finite772340578real_c @ ( sol @ zero_zero_real ) @ i2 ) ) )
            | ~ ( ~ ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
                | ( ( finite772340578real_c
                    @ ( produc2010422875real_c
                      @ ( denota161327353_a_b_c @ i @ oDEa
                        @ ( produc394644079real_c
                          @ ( finite557796307c_real
                            @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                          @ bb )
                        @ ( finite557796307c_real
                          @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
                    @ i2 )
                  = ( finite772340578real_c @ ab @ i2 ) ) ) ) )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3615]) ).

thf(4005,plain,
    ! [SV216: set_Sum_sum_c_c,SV519: sum_sum_c_c > sum_sum_c_c,SV749: sum_sum_c_c > set_Sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ ( sK39_SY2493 @ SV749 @ SV519 @ SV216 ) @ SV216 )
        = $true )
      | ( ( member1326674048um_c_c @ SV519 @ ( pi_Sum253006871um_c_c @ SV216 @ SV749 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3616]) ).

thf(4006,plain,
    ! [SV218: set_real,SV521: real > finite1398487019real_c,SV751: real > set_Fi1407883041real_c] :
      ( ( ( member_real @ ( sK40_SY2494 @ SV751 @ SV521 @ SV218 ) @ SV218 )
        = $true )
      | ( ( member1321351885real_c @ SV521 @ ( pi_rea1111636068real_c @ SV218 @ SV751 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3618]) ).

thf(4007,plain,
    ! [SV522: sum_sum_c_d > sum_sum_c_c,SV219: sum_sum_c_c,SV901: set_Sum_sum_c_d,SV752: sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ SV752 @ SV901 )
        = $false )
      | ( ( member_Sum_sum_c_c @ SV219 @ ( image_1558941394um_c_c @ SV522 @ SV901 ) )
        = $true )
      | ( ( SV219
          = ( SV522 @ SV752 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3620]) ).

thf(4008,plain,
    ! [SV523: set_Sum_sum_c_c,SV220: sum_sum_c_c,SV902: sum_sum_c_c > sum_sum_c_c,SV753: sum_sum_c_c] :
      ( ( ( SV753
          = ( SV902 @ SV220 ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ SV753 @ ( image_666880337um_c_c @ SV902 @ SV523 ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ SV220 @ SV523 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3621]) ).

thf(4009,plain,
    ! [SV221: set_c,SV903: c > sum_sum_c_c,SV754: c > sum_sum_c_c,SV524: set_c] :
      ( ( ( ! [SY2638: c] :
              ( ~ ( member_c @ SY2638 @ SV524 )
              | ( ( SV754 @ SY2638 )
                = ( SV903 @ SY2638 ) ) ) )
        = $false )
      | ( ( ( image_c_Sum_sum_c_c @ SV754 @ SV221 )
          = ( image_c_Sum_sum_c_c @ SV903 @ SV524 ) )
        = $true )
      | ( ( SV221 = SV524 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3622]) ).

thf(4010,plain,
    ! [SV222: set_c,SV525: set_c,SV904: finite1398487019real_c,SV755: finite1398487019real_c] :
      ( ( ( denota256060419gree_c @ SV755 @ SV904 @ SV525 )
        = $false )
      | ( ( denota256060419gree_c @ SV755 @ SV904 @ SV222 )
        = $true )
      | ( ( ord_less_eq_set_c @ SV222 @ SV525 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3623]) ).

thf(4011,plain,
    ! [SV756: set_c,SV526: c > sum_sum_c_c,SV223: sum_sum_c_c] :
      ( ( ( SV223
         != ( SV526 @ ( sK69_SY2500 @ SV756 @ SV526 @ SV223 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ SV223 @ ( image_c_Sum_sum_c_c @ SV526 @ SV756 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3624]) ).

thf(4012,plain,
    ! [SV223: sum_sum_c_c,SV526: c > sum_sum_c_c,SV756: set_c] :
      ( ( ( ~ ( member_c @ ( sK69_SY2500 @ SV756 @ SV526 @ SV223 ) @ SV756 ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ SV223 @ ( image_c_Sum_sum_c_c @ SV526 @ SV756 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3624]) ).

thf(4013,plain,
    ! [SV758: sum_sum_c_c > set_Sum_sum_c_c,SV225: sum_sum_c_c > sum_sum_c_c,SV528: set_Sum_sum_c_c,SV905: sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ SV905 @ SV528 )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( SV225 @ SV905 ) @ ( SV758 @ SV905 ) )
        = $true )
      | ( ( member1326674048um_c_c @ SV225 @ ( pi_Sum253006871um_c_c @ SV528 @ SV758 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3625]) ).

thf(4014,plain,
    ! [SV906: real,SV760: real,SV530: real,SV227: real] :
      ( ( ( ord_le1342644953l_real @ ( produc705216881l_real @ SV227 @ SV530 ) @ ( produc705216881l_real @ SV760 @ SV906 ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le1342644953l_real @ ( produc705216881l_real @ SV227 @ SV530 ) @ ( produc705216881l_real @ SV760 @ SV906 ) )
              | ~ ~ ( ~ ( ord_less_eq_real @ SV227 @ SV760 )
                    | ~ ( ord_less_eq_real @ SV530 @ SV906 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3627]) ).

thf(4015,plain,
    ! [SV906: real,SV530: real,SV760: real,SV227: real] :
      ( ( ( ~ ( ~ ( ord_less_eq_real @ SV227 @ SV760 )
              | ~ ( ord_less_eq_real @ SV530 @ SV906 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le1342644953l_real @ ( produc705216881l_real @ SV227 @ SV530 ) @ ( produc705216881l_real @ SV760 @ SV906 ) )
              | ~ ~ ( ~ ( ord_less_eq_real @ SV227 @ SV760 )
                    | ~ ( ord_less_eq_real @ SV530 @ SV906 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3627]) ).

thf(4016,plain,
    ! [SV532: real,SV229: real,SV907: real,SV761: real] :
      ( ( ( ord_less_eq_real @ SV761 @ SV907 )
        = $false )
      | ( ( ord_le1342644953l_real @ ( produc705216881l_real @ SV229 @ SV761 ) @ ( produc705216881l_real @ SV532 @ SV907 ) )
        = $true )
      | ( ( ord_less_eq_real @ SV229 @ SV532 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3628]) ).

thf(4017,plain,
    ! [SV762: set_c,SV230: set_Sum_sum_c_d,SV533: c > sum_sum_c_d] :
      ( ( ( ~ ( ord_less_eq_set_c @ ( sK70_SY2504 @ SV533 @ SV230 @ SV762 ) @ SV762 ) )
        = $false )
      | ( ( ord_le764260924um_c_d @ SV230 @ ( image_c_Sum_sum_c_d @ SV533 @ SV762 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3629]) ).

thf(4018,plain,
    ! [SV762: set_c,SV533: c > sum_sum_c_d,SV230: set_Sum_sum_c_d] :
      ( ( ( SV230
         != ( image_c_Sum_sum_c_d @ SV533 @ ( sK70_SY2504 @ SV533 @ SV230 @ SV762 ) ) )
        = $false )
      | ( ( ord_le764260924um_c_d @ SV230 @ ( image_c_Sum_sum_c_d @ SV533 @ SV762 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3629]) ).

thf(4019,plain,
    ! [SV908: set_Sum_sum_c_d,SV534: set_Sum_sum_c_d] :
      ( ( ( ord_le764260924um_c_d @ SV534 @ SV908 )
        = $false )
      | ( ( ~ ( ~ ( ord_le764260924um_c_d @ SV534 @ SV908 )
              | ~ ! [SY2639: sum_sum_c_d] :
                    ( ~ ( member_Sum_sum_c_d @ SY2639 @ SV534 )
                    | ( member_Sum_sum_c_d @ SY2639 @ SV908 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3630]) ).

thf(4020,plain,
    ! [SV908: set_Sum_sum_c_d,SV534: set_Sum_sum_c_d] :
      ( ( ( ! [SY2639: sum_sum_c_d] :
              ( ~ ( member_Sum_sum_c_d @ SY2639 @ SV534 )
              | ( member_Sum_sum_c_d @ SY2639 @ SV908 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le764260924um_c_d @ SV534 @ SV908 )
              | ~ ! [SY2639: sum_sum_c_d] :
                    ( ~ ( member_Sum_sum_c_d @ SY2639 @ SV534 )
                    | ( member_Sum_sum_c_d @ SY2639 @ SV908 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3630]) ).

thf(4021,plain,
    ! [SV909: set_c,SV536: set_c] :
      ( ( ( ord_less_eq_set_c @ SV536 @ SV909 )
        = $false )
      | ( ( ~ ( ~ ( ord_less_eq_set_c @ SV536 @ SV909 )
              | ~ ! [SY2640: c] :
                    ( ~ ( member_c @ SY2640 @ SV536 )
                    | ( member_c @ SY2640 @ SV909 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3631]) ).

thf(4022,plain,
    ! [SV909: set_c,SV536: set_c] :
      ( ( ( ! [SY2640: c] :
              ( ~ ( member_c @ SY2640 @ SV536 )
              | ( member_c @ SY2640 @ SV909 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ord_less_eq_set_c @ SV536 @ SV909 )
              | ~ ! [SY2640: c] :
                    ( ~ ( member_c @ SY2640 @ SV536 )
                    | ( member_c @ SY2640 @ SV909 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3631]) ).

thf(4023,plain,
    ! [SV766: set_re2066790124real_c,SV537: ( real > finite1398487019real_c ) > c,SV234: c] :
      ( ( ( SV234
         != ( SV537 @ ( sK71_SY2509 @ SV766 @ SV537 @ SV234 ) ) )
        = $false )
      | ( ( member_c @ SV234 @ ( image_266490115al_c_c @ SV537 @ SV766 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3632]) ).

thf(4024,plain,
    ! [SV234: c,SV537: ( real > finite1398487019real_c ) > c,SV766: set_re2066790124real_c] :
      ( ( ( ~ ( member1321351885real_c @ ( sK71_SY2509 @ SV766 @ SV537 @ SV234 ) @ SV766 ) )
        = $false )
      | ( ( member_c @ SV234 @ ( image_266490115al_c_c @ SV537 @ SV766 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3632]) ).

thf(4025,plain,
    ! [SV767: sum_sum_c_c > $o,SV538: set_c,SV235: c > sum_sum_c_c,SV966: sum_sum_c_c] :
      ( ( ( ~ ( ~ ( member_Sum_sum_c_c @ SV966 @ ( image_c_Sum_sum_c_c @ SV235 @ SV538 ) )
              | ~ ( SV767 @ SV966 ) ) )
        = $false )
      | ( ( ~ ! [SY2511: c] :
                ~ ~ ( ~ ( member_c @ SY2511 @ SV538 )
                    | ~ ( SV767 @ ( SV235 @ SY2511 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3633]) ).

thf(4026,plain,
    ! [SV237: set_c,SV540: c > sum_sum_c_d,SV768: c > set_Sum_sum_c_d] :
      ( ( ( member_c @ ( sK41_SY2512 @ SV768 @ SV540 @ SV237 ) @ SV237 )
        = $true )
      | ( ( member_c_Sum_sum_c_d @ SV540 @ ( pi_c_Sum_sum_c_d @ SV237 @ SV768 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3634]) ).

thf(4027,plain,
    ! [SV541: sum_sum_c_c > c,SV238: c,SV910: set_Sum_sum_c_c,SV769: sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ SV769 @ SV910 )
        = $false )
      | ( ( member_c @ SV238 @ ( image_Sum_sum_c_c_c @ SV541 @ SV910 ) )
        = $true )
      | ( ( SV238
          = ( SV541 @ SV769 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3636]) ).

thf(4028,plain,
    ! [SV542: c > real > finite1398487019real_c,SV770: c,SV911: set_c,SV239: real > finite1398487019real_c] :
      ( ( ( ( SV239 @ ( sK80_SV967 @ SV911 @ SV770 @ SV542 @ SV239 ) )
          = ( SV542 @ SV770 @ ( sK80_SV967 @ SV911 @ SV770 @ SV542 @ SV239 ) ) )
        = $false )
      | ( ( ~ ( member_c @ SV770 @ SV911 )
          | ( member1321351885real_c @ SV239 @ ( image_1226855921real_c @ SV542 @ SV911 ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[3637]) ).

thf(4029,plain,
    ! [SV542: c > real > finite1398487019real_c,SV239: real > finite1398487019real_c,SV911: set_c,SV770: c] :
      ( ( ( ~ ( member_c @ SV770 @ SV911 ) )
        = $true )
      | ( ( member1321351885real_c @ SV239 @ ( image_1226855921real_c @ SV542 @ SV911 ) )
        = $true )
      | ( ( SV239
          = ( SV542 @ SV770 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3638]) ).

thf(4030,plain,
    ! [SV771: sum_sum_c_d > set_Sum_sum_c_c,SV240: sum_sum_c_d > sum_sum_c_c,SV543: set_Sum_sum_c_d,SV912: sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ SV912 @ SV543 )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( SV240 @ SV912 ) @ ( SV771 @ SV912 ) )
        = $true )
      | ( ( member71251457um_c_c @ SV240 @ ( pi_Sum1145067928um_c_c @ SV543 @ SV771 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3639]) ).

thf(4031,plain,
    ! [SV241: set_c,SV544: c > sum_sum_c_d,SV772: set_Sum_sum_c_d] :
      ( ( ( member_c @ ( sK42_SY2516 @ SV772 @ SV544 @ SV241 ) @ SV241 )
        = $true )
      | ( ( member_c_Sum_sum_c_d @ SV544
          @ ( pi_c_Sum_sum_c_d @ SV241
            @ ^ [SY2517: c] : SV772 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3640]) ).

thf(4032,plain,
    ! [SV545: set_Sum_sum_c_d,SV242: sum_sum_c_d,SV913: sum_sum_c_d > c,SV773: c] :
      ( ( ( SV773
          = ( SV913 @ SV242 ) )
        = $false )
      | ( ( member_c @ SV773 @ ( image_Sum_sum_c_d_c @ SV913 @ SV545 ) )
        = $true )
      | ( ( member_Sum_sum_c_d @ SV242 @ SV545 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3642]) ).

thf(4033,plain,
    ! [SV243: set_Sum_sum_c_c,SV546: sum_sum_c_c > sum_sum_c_d,SV774: set_Sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_c @ ( sK43_SY2519 @ SV774 @ SV546 @ SV243 ) @ SV243 )
        = $true )
      | ( ( member318754689um_c_d @ SV546
          @ ( pi_Sum261268376um_c_d @ SV243
            @ ^ [SY2520: sum_sum_c_c] : SV774 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3643]) ).

thf(4034,plain,
    ! [SV914: produc190496183real_c,SV548: produc190496183real_c] :
      ( ( ( ord_le850691415real_c @ SV548 @ SV914 )
        = $false )
      | ( ( ~ ( ~ ( ord_le850691415real_c @ SV548 @ SV914 )
              | ~ ~ ( ~ ( ord_le775706699real_c @ ( produc2010422875real_c @ SV548 ) @ ( produc2010422875real_c @ SV914 ) )
                    | ~ ( ord_le775706699real_c @ ( produc314122909real_c @ SV548 ) @ ( produc314122909real_c @ SV914 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3646]) ).

thf(4035,plain,
    ! [SV914: produc190496183real_c,SV548: produc190496183real_c] :
      ( ( ( ~ ( ~ ( ord_le775706699real_c @ ( produc2010422875real_c @ SV548 ) @ ( produc2010422875real_c @ SV914 ) )
              | ~ ( ord_le775706699real_c @ ( produc314122909real_c @ SV548 ) @ ( produc314122909real_c @ SV914 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le850691415real_c @ SV548 @ SV914 )
              | ~ ~ ( ~ ( ord_le775706699real_c @ ( produc2010422875real_c @ SV548 ) @ ( produc2010422875real_c @ SV914 ) )
                    | ~ ( ord_le775706699real_c @ ( produc314122909real_c @ SV548 ) @ ( produc314122909real_c @ SV914 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3646]) ).

thf(4036,plain,
    ! [SV777: sum_sum_c_c > set_Sum_sum_c_d,SV247: sum_sum_c_c > sum_sum_c_d,SV550: set_Sum_sum_c_c,SV915: sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ SV915 @ SV550 )
        = $false )
      | ( ( member_Sum_sum_c_d @ ( SV247 @ SV915 ) @ ( SV777 @ SV915 ) )
        = $true )
      | ( ( member318754689um_c_d @ SV247 @ ( pi_Sum261268376um_c_d @ SV550 @ SV777 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3647]) ).

thf(4037,plain,
    ! [SV778: set_Pr1389752855real_c,SV248: ( real > finite1398487019real_c ) > produc190496183real_c,SV551: set_re2066790124real_c,SV916: real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ SV916 @ SV551 )
        = $false )
      | ( ( member1895684704real_c @ ( SV248 @ SV916 ) @ SV778 )
        = $true )
      | ( ( member954762593real_c @ SV248
          @ ( pi_rea1379668980real_c @ SV551
            @ ^ [SY2523: real > finite1398487019real_c] : SV778 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3648]) ).

thf(4038,plain,
    ! [SV249: set_c,SV552: c > real > finite1398487019real_c,SV779: set_re2066790124real_c] :
      ( ( ( member_c @ ( sK44_SY2524 @ SV779 @ SV552 @ SV249 ) @ SV249 )
        = $true )
      | ( ( ord_le35002188real_c @ ( image_1226855921real_c @ SV552 @ SV249 ) @ SV779 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3649]) ).

thf(4039,plain,
    ! [SV553: c > $o,SV250: c > $o] :
      ( ( ( ~ ( ord_less_eq_set_c @ ( collect_c @ SV250 ) @ ( collect_c @ SV553 ) ) )
        = $false )
      | ( ( ord_less_eq_set_c @ ( collect_c @ SV250 ) @ ( collect_c @ SV553 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3651]) ).

thf(4040,plain,
    ! [SV553: c > $o,SV250: c > $o] :
      ( ( ( ~ ! [SY2211: c] :
                ( ~ ( SV250 @ SY2211 )
                | ( SV553 @ SY2211 ) ) )
        = $false )
      | ( ( ord_less_eq_set_c @ ( collect_c @ SV250 ) @ ( collect_c @ SV553 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3651]) ).

thf(4041,plain,
    ! [SV553: c > $o,SV250: c > $o] :
      ( ( ( ~ ( SV250 @ ( sK72_SY2211 @ SV553 @ SV250 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ord_less_eq_set_c @ ( collect_c @ SV250 ) @ ( collect_c @ SV553 ) )
              | ~ ! [SY2211: c] :
                    ( ~ ( SV250 @ SY2211 )
                    | ( SV553 @ SY2211 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3652]) ).

thf(4042,plain,
    ! [SV250: c > $o,SV553: c > $o] :
      ( ( ( SV553 @ ( sK72_SY2211 @ SV553 @ SV250 ) )
        = $false )
      | ( ( ~ ( ~ ( ord_less_eq_set_c @ ( collect_c @ SV250 ) @ ( collect_c @ SV553 ) )
              | ~ ! [SY2211: c] :
                    ( ~ ( SV250 @ SY2211 )
                    | ( SV553 @ SY2211 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3652]) ).

thf(4043,plain,
    ( ( ( p = phi )
      = $false )
    | ( ( ~ ( ord_less_eq_real @ zero_zero_real @ t )
        | ( ( produc394644079real_c @ aa @ ba )
         != ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
        | ~ ( initia1631504802real_c @ sol
            @ ^ [SX0: real] : ( denota1275485728_a_b_c @ i @ oDEa )
            @ ( set_or656347191t_real @ zero_zero_real @ t )
            @ ( collec230941376real_c
              @ ^ [SX0: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ SX0 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) )
        | ~ ( denota256060419gree_c @ ( sol @ zero_zero_real ) @ ab
            @ ( collect_c
              @ ^ [SX0: c] :
                  ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_BVO_a_c @ oDEa ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( static_FVO_a_c @ oDEa ) ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_FVF_a_b_c @ phi ) ) ) ) )
        | ( ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) )
          = ( denota161327353_a_b_c @ i @ oDEa
            @ ( produc394644079real_c
              @ ( finite557796307c_real
                @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
              @ bb )
            @ ( finite557796307c_real
              @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ t ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) ) )
      = $true )
    | ( ( ode = oDEa )
      = $false )
    | ( ( fsafe_a_b_c @ phi )
      = $false )
    | ( ( osafe_a_c @ oDEa )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3654]) ).

thf(4044,plain,
    ( ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $true )
    | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $true )
    | ( ( ( finite772340578real_c @ ( produc2010422875real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) ) @ i2 )
        = ( finite772340578real_c @ ab @ i2 ) )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3655]) ).

thf(4045,plain,
    ! [SV556: c > $o,SV253: c > $o] :
      ( ( ( ( SV253 @ ( sK11_SY2213 @ SV556 @ SV253 ) )
          | ( SV556 @ ( sK11_SY2213 @ SV556 @ SV253 ) ) )
        = $true )
      | ( ( ( collect_c @ SV253 )
          = ( collect_c @ SV556 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3656]) ).

thf(4046,plain,
    ! [SV556: c > $o,SV253: c > $o] :
      ( ( ( ~ ( SV253 @ ( sK11_SY2213 @ SV556 @ SV253 ) )
          | ~ ( SV556 @ ( sK11_SY2213 @ SV556 @ SV253 ) ) )
        = $true )
      | ( ( ( collect_c @ SV253 )
          = ( collect_c @ SV556 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3657]) ).

thf(4047,plain,
    ! [SV254: set_Sum_sum_c_d,SV557: sum_sum_c_d > c,SV780: sum_sum_c_d > set_c] :
      ( ( ( member_Sum_sum_c_d @ ( sK45_SY2525 @ SV780 @ SV557 @ SV254 ) @ SV254 )
        = $true )
      | ( ( member_Sum_sum_c_d_c @ SV557 @ ( pi_Sum_sum_c_d_c @ SV254 @ SV780 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3658]) ).

thf(4048,plain,
    ! [SV255: set_Sum_sum_c_c,SV558: sum_sum_c_c > sum_sum_c_c,SV781: set_Sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ ( sK46_SY2526 @ SV781 @ SV558 @ SV255 ) @ SV255 )
        = $true )
      | ( ( ord_le1772180283um_c_c @ ( image_666880337um_c_c @ SV558 @ SV255 ) @ SV781 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3660]) ).

thf(4049,plain,
    ! [SV559: set_c,SV256: c,SV917: c > c,SV782: c] :
      ( ( ( SV782
          = ( SV917 @ SV256 ) )
        = $false )
      | ( ( member_c @ SV782 @ ( image_c_c @ SV917 @ SV559 ) )
        = $true )
      | ( ( member_c @ SV256 @ SV559 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3662]) ).

thf(4050,plain,
    ! [SV561: sum_sum_c_d > c,SV258: c,SV918: set_Sum_sum_c_d,SV784: sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ SV784 @ SV918 )
        = $false )
      | ( ( member_c @ SV258 @ ( image_Sum_sum_c_d_c @ SV561 @ SV918 ) )
        = $true )
      | ( ( SV258
          = ( SV561 @ SV784 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3663]) ).

thf(4051,plain,
    ( ( ( p = phi )
      = $false )
    | ( ( ~ ( ord_less_eq_real @ zero_zero_real @ t )
        | ( ( produc394644079real_c @ aa @ ba )
         != ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
        | ~ ( initia1631504802real_c @ sol
            @ ^ [SX0: real] : ( denota1275485728_a_b_c @ i @ oDEa )
            @ ( set_or656347191t_real @ zero_zero_real @ t )
            @ ( collec230941376real_c
              @ ^ [SX0: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ SX0 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) )
        | ~ ( denota256060419gree_c @ ( sol @ zero_zero_real ) @ ab
            @ ( collect_c
              @ ^ [SX0: c] :
                  ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_BVO_a_c @ oDEa ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( static_FVO_a_c @ oDEa ) ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_FVF_a_b_c @ phi ) ) ) ) )
        | ( ord_less_eq_real @ zero_zero_real @ t ) )
      = $true )
    | ( ( ode = oDEa )
      = $false )
    | ( ( fsafe_a_b_c @ phi )
      = $false )
    | ( ( osafe_a_c @ oDEa )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3664]) ).

thf(4052,plain,
    ! [SV563: set_Sum_sum_c_c,SV260: sum_sum_c_c,SV919: sum_sum_c_c > sum_sum_c_d,SV786: sum_sum_c_d] :
      ( ( ( SV786
          = ( SV919 @ SV260 ) )
        = $false )
      | ( ( member_Sum_sum_c_d @ SV786 @ ( image_675141842um_c_d @ SV919 @ SV563 ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ SV260 @ SV563 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3665]) ).

thf(4053,plain,
    ! [SV261: set_Sum_sum_c_d,SV564: sum_sum_c_d > c,SV787: set_c] :
      ( ( ( member_Sum_sum_c_d @ ( sK47_SY2532 @ SV787 @ SV564 @ SV261 ) @ SV261 )
        = $true )
      | ( ( member_Sum_sum_c_d_c @ SV564
          @ ( pi_Sum_sum_c_d_c @ SV261
            @ ^ [SY2533: sum_sum_c_d] : SV787 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3666]) ).

thf(4054,plain,
    ! [SV920: c,SV788: finite1398487019real_c,SV565: finite1398487019real_c,SV262: $o] :
      ( ( ( ~ SV262 ) = $true )
      | ( ( ( finite772340578real_c @ ( if_Fin36944805real_c @ SV262 @ SV565 @ SV788 ) @ SV920 )
          = ( finite772340578real_c @ SV565 @ SV920 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3668]) ).

thf(4055,plain,
    ! [SV920: c,SV788: finite1398487019real_c,SV565: finite1398487019real_c,SV262: $o] :
      ( ( ( ~ ~ SV262 )
        = $true )
      | ( ( ( finite772340578real_c @ ( if_Fin36944805real_c @ SV262 @ SV565 @ SV788 ) @ SV920 )
          = ( finite772340578real_c @ SV788 @ SV920 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3669]) ).

thf(4056,plain,
    ! [SV921: c,SV789: finite1398487019real_c,SV566: finite1398487019real_c] :
      ( ( ( ~ $true ) = $true )
      | ( ( ( finite772340578real_c @ ( if_Fin36944805real_c @ $true @ SV566 @ SV789 ) @ SV921 )
          = ( finite772340578real_c @ SV566 @ SV921 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3670]) ).

thf(4057,plain,
    ! [SV921: c,SV789: finite1398487019real_c,SV566: finite1398487019real_c] :
      ( ( ( ~ ~ $true )
        = $true )
      | ( ( ( finite772340578real_c @ ( if_Fin36944805real_c @ $true @ SV566 @ SV789 ) @ SV921 )
          = ( finite772340578real_c @ SV789 @ SV921 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3671]) ).

thf(4058,plain,
    ! [SV922: c,SV790: finite1398487019real_c,SV567: finite1398487019real_c] :
      ( ( ( ~ $false ) = $true )
      | ( ( ( finite772340578real_c @ ( if_Fin36944805real_c @ $false @ SV567 @ SV790 ) @ SV922 )
          = ( finite772340578real_c @ SV567 @ SV922 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3672]) ).

thf(4059,plain,
    ! [SV922: c,SV790: finite1398487019real_c,SV567: finite1398487019real_c] :
      ( ( ( ~ ~ $false )
        = $true )
      | ( ( ( finite772340578real_c @ ( if_Fin36944805real_c @ $false @ SV567 @ SV790 ) @ SV922 )
          = ( finite772340578real_c @ SV790 @ SV922 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3673]) ).

thf(4060,plain,
    ! [SV264: set_real,SV569: real > finite1398487019real_c,SV791: set_Fi1407883041real_c] :
      ( ( ( member_real @ ( sK48_SY2537 @ SV791 @ SV569 @ SV264 ) @ SV264 )
        = $true )
      | ( ( member1321351885real_c @ SV569
          @ ( pi_rea1111636068real_c @ SV264
            @ ^ [SY2538: real] : SV791 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3674]) ).

thf(4061,plain,
    ! [SV265: set_Sum_sum_c_c,SV570: set_Sum_sum_c_c,SV923: produc190496183real_c,SV792: produc190496183real_c] :
      ( ( ( denota1997846518gree_c @ SV792 @ SV923 @ SV570 )
        = $false )
      | ( ( denota1997846518gree_c @ SV792 @ SV923 @ SV265 )
        = $true )
      | ( ( ord_le1772180283um_c_c @ SV265 @ SV570 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3676]) ).

thf(4062,plain,
    ! [SV267: set_c,SV572: c > sum_sum_c_c,SV794: c > set_Sum_sum_c_c] :
      ( ( ( member_c @ ( sK49_SY2542 @ SV794 @ SV572 @ SV267 ) @ SV267 )
        = $true )
      | ( ( member_c_Sum_sum_c_c @ SV572 @ ( pi_c_Sum_sum_c_c @ SV267 @ SV794 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3677]) ).

thf(4063,plain,
    ! [SV268: set_c,SV573: c > sum_sum_c_c,SV795: set_Sum_sum_c_c] :
      ( ( ( member_c @ ( sK50_SY2543 @ SV795 @ SV573 @ SV268 ) @ SV268 )
        = $true )
      | ( ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV573 @ SV268 ) @ SV795 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3679]) ).

thf(4064,plain,
    ! [SV925: real,SV797: real,SV576: real,SV271: real] :
      ( ( ( ord_less_eq_set_real @ ( set_or656347191t_real @ SV271 @ SV576 ) @ ( set_or656347191t_real @ SV797 @ SV925 ) )
        = $false )
      | ( ( ~ ( ~ ( ord_less_eq_set_real @ ( set_or656347191t_real @ SV271 @ SV576 ) @ ( set_or656347191t_real @ SV797 @ SV925 ) )
              | ~ ( ~ ( ord_less_eq_real @ SV271 @ SV576 )
                  | ~ ( ~ ( ord_less_eq_real @ SV797 @ SV271 )
                      | ~ ( ord_less_eq_real @ SV576 @ SV925 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3683]) ).

thf(4065,plain,
    ! [SV925: real,SV797: real,SV576: real,SV271: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV271 @ SV576 )
          | ~ ( ~ ( ord_less_eq_real @ SV797 @ SV271 )
              | ~ ( ord_less_eq_real @ SV576 @ SV925 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ord_less_eq_set_real @ ( set_or656347191t_real @ SV271 @ SV576 ) @ ( set_or656347191t_real @ SV797 @ SV925 ) )
              | ~ ( ~ ( ord_less_eq_real @ SV271 @ SV576 )
                  | ~ ( ~ ( ord_less_eq_real @ SV797 @ SV271 )
                      | ~ ( ord_less_eq_real @ SV576 @ SV925 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3683]) ).

thf(4066,plain,
    ! [SV926: set_re2066790124real_c,SV577: set_re2066790124real_c] :
      ( ( ( ord_le35002188real_c @ SV577 @ SV926 )
        = $false )
      | ( ( ~ ( ~ ( ord_le35002188real_c @ SV577 @ SV926 )
              | ~ ! [SY2643: real > finite1398487019real_c] :
                    ( ~ ( member1321351885real_c @ SY2643 @ SV577 )
                    | ( member1321351885real_c @ SY2643 @ SV926 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3684]) ).

thf(4067,plain,
    ! [SV926: set_re2066790124real_c,SV577: set_re2066790124real_c] :
      ( ( ( ! [SY2643: real > finite1398487019real_c] :
              ( ~ ( member1321351885real_c @ SY2643 @ SV577 )
              | ( member1321351885real_c @ SY2643 @ SV926 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le35002188real_c @ SV577 @ SV926 )
              | ~ ! [SY2643: real > finite1398487019real_c] :
                    ( ~ ( member1321351885real_c @ SY2643 @ SV577 )
                    | ( member1321351885real_c @ SY2643 @ SV926 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3684]) ).

thf(4068,plain,
    ! [SV927: set_Pr1389752855real_c,SV578: set_Pr1389752855real_c] :
      ( ( ( ord_le977353143real_c @ SV578 @ SV927 )
        = $false )
      | ( ( ~ ( ~ ( ord_le977353143real_c @ SV578 @ SV927 )
              | ~ ! [SY2644: produc190496183real_c] :
                    ( ~ ( member1895684704real_c @ SY2644 @ SV578 )
                    | ( member1895684704real_c @ SY2644 @ SV927 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3685]) ).

thf(4069,plain,
    ! [SV927: set_Pr1389752855real_c,SV578: set_Pr1389752855real_c] :
      ( ( ( ! [SY2644: produc190496183real_c] :
              ( ~ ( member1895684704real_c @ SY2644 @ SV578 )
              | ( member1895684704real_c @ SY2644 @ SV927 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le977353143real_c @ SV578 @ SV927 )
              | ~ ! [SY2644: produc190496183real_c] :
                    ( ~ ( member1895684704real_c @ SY2644 @ SV578 )
                    | ( member1895684704real_c @ SY2644 @ SV927 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3685]) ).

thf(4070,plain,
    ! [SV275: set_c,SV580: c > real > finite1398487019real_c,SV801: c > set_re2066790124real_c] :
      ( ( ( member_c @ ( sK51_SY2547 @ SV801 @ SV580 @ SV275 ) @ SV275 )
        = $true )
      | ( ( member469531344real_c @ SV580 @ ( pi_c_r41638571real_c @ SV275 @ SV801 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3686]) ).

thf(4071,plain,
    ! [SV581: set_c,SV802: c > set_Sum_sum_c_c,SV928: c,SV276: c > sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( SV276 @ SV928 ) @ ( SV802 @ SV928 ) ) )
        = $false )
      | ( ( ~ ( member_c @ SV928 @ SV581 ) )
        = $true )
      | ( ( member_c_Sum_sum_c_c @ SV276 @ ( pi_c_Sum_sum_c_c @ SV581 @ SV802 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3688]) ).

thf(4072,plain,
    ! [SV277: c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SV277 ) @ ( static_BVO_a_c @ oDEa ) ) )
        = $true )
      | ( ( ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SV277 )
          = ( finite772340578real_c @ ab @ SV277 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3689]) ).

thf(4073,plain,
    ! [SV277: c] :
      ( ( ( ~ ( member_Sum_sum_c_d @ ( sum_Inl_c_d @ SV277 ) @ ( image_c_Sum_sum_c_d @ sum_Inl_c_d @ ( static_FVO_a_c @ oDEa ) ) ) )
        = $true )
      | ( ( ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SV277 )
          = ( finite772340578real_c @ ab @ SV277 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3690]) ).

thf(4074,plain,
    ! [SV582: set_Sum_sum_c_c,SV803: sum_sum_c_c > set_Sum_sum_c_c,SV929: sum_sum_c_c,SV278: sum_sum_c_c > sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( SV278 @ SV929 ) @ ( SV803 @ SV929 ) ) )
        = $false )
      | ( ( ~ ( member_Sum_sum_c_c @ SV929 @ SV582 ) )
        = $true )
      | ( ( member1326674048um_c_c @ SV278 @ ( pi_Sum253006871um_c_c @ SV582 @ SV803 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3691]) ).

thf(4075,plain,
    ! [SV279: set_Sum_sum_c_c,SV583: sum_sum_c_c > sum_sum_c_c,SV804: sum_sum_c_c > set_Sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ ( sK52_SY2550 @ SV804 @ SV583 @ SV279 ) @ SV279 )
        = $true )
      | ( ( member1326674048um_c_c @ SV583 @ ( pi_Sum253006871um_c_c @ SV279 @ SV804 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3692]) ).

thf(4076,plain,
    ! [SV584: set_Sum_sum_c_c,SV805: sum_sum_c_c > set_c,SV930: sum_sum_c_c,SV280: sum_sum_c_c > c] :
      ( ( ( ~ ( member_c @ ( SV280 @ SV930 ) @ ( SV805 @ SV930 ) ) )
        = $false )
      | ( ( ~ ( member_Sum_sum_c_c @ SV930 @ SV584 ) )
        = $true )
      | ( ( member_Sum_sum_c_c_c @ SV280 @ ( pi_Sum_sum_c_c_c @ SV584 @ SV805 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3694]) ).

thf(4077,plain,
    ! [SV806: set_Sum_sum_c_c,SV585: sum_sum_c_c > sum_sum_c_d,SV281: sum_sum_c_d] :
      ( ( ( SV281
         != ( SV585 @ ( sK73_SY2552 @ SV806 @ SV585 @ SV281 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_d @ SV281 @ ( image_675141842um_c_d @ SV585 @ SV806 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3695]) ).

thf(4078,plain,
    ! [SV281: sum_sum_c_d,SV585: sum_sum_c_c > sum_sum_c_d,SV806: set_Sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sK73_SY2552 @ SV806 @ SV585 @ SV281 ) @ SV806 ) )
        = $false )
      | ( ( member_Sum_sum_c_d @ SV281 @ ( image_675141842um_c_d @ SV585 @ SV806 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3695]) ).

thf(4079,plain,
    ! [SV282: set_c,SV586: c > sum_sum_c_c,SV807: c > set_Sum_sum_c_c] :
      ( ( ( member_c @ ( sK53_SY2553 @ SV807 @ SV586 @ SV282 ) @ SV282 )
        = $true )
      | ( ( member_c_Sum_sum_c_c @ SV586 @ ( pi_c_Sum_sum_c_c @ SV282 @ SV807 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3696]) ).

thf(4080,plain,
    ! [SV283: set_c,SV587: set_c,SV931: finite1398487019real_c,SV808: finite1398487019real_c] :
      ( ( ( denota256060419gree_c @ SV808 @ SV931 @ SV587 )
        = $false )
      | ( ( denota256060419gree_c @ SV808 @ SV931 @ SV283 )
        = $true )
      | ( ( ord_less_eq_set_c @ SV283 @ SV587 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3698]) ).

thf(4081,plain,
    ! [SV809: set_Sum_sum_c_d,SV284: ( real > finite1398487019real_c ) > sum_sum_c_d,SV588: set_re2066790124real_c,SV932: real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ SV932 @ SV588 )
        = $false )
      | ( ( member_Sum_sum_c_d @ ( SV284 @ SV932 ) @ SV809 )
        = $true )
      | ( ( member1494186770um_c_d @ SV284
          @ ( pi_rea1508591913um_c_d @ SV588
            @ ^ [SY2556: real > finite1398487019real_c] : SV809 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3699]) ).

thf(4082,plain,
    ! [SV589: set_c,SV285: c,SV933: c > sum_sum_c_d,SV810: sum_sum_c_d] :
      ( ( ( SV810
          = ( SV933 @ SV285 ) )
        = $false )
      | ( ( member_Sum_sum_c_d @ SV810 @ ( image_c_Sum_sum_c_d @ SV933 @ SV589 ) )
        = $true )
      | ( ( member_c @ SV285 @ SV589 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3700]) ).

thf(4083,plain,
    ! [SV286: set_c,SV590: c > c,SV811: c > set_c] :
      ( ( ( member_c @ ( sK54_SY2558 @ SV811 @ SV590 @ SV286 ) @ SV286 )
        = $true )
      | ( ( member_c_c @ SV590 @ ( pi_c_c @ SV286 @ SV811 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3701]) ).

thf(4084,plain,
    ! [SV591: set_c,SV287: c,SV934: c > real > finite1398487019real_c,SV812: real > finite1398487019real_c] :
      ( ( ( SV812
          = ( SV934 @ SV287 ) )
        = $false )
      | ( ( member1321351885real_c @ SV812 @ ( image_1226855921real_c @ SV934 @ SV591 ) )
        = $true )
      | ( ( member_c @ SV287 @ SV591 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3703]) ).

thf(4085,plain,
    ! [SV593: sum_sum_c_c > sum_sum_c_c,SV289: sum_sum_c_c,SV936: set_Sum_sum_c_c,SV814: sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ SV814 @ SV936 )
        = $false )
      | ( ( member_Sum_sum_c_c @ SV289 @ ( image_666880337um_c_c @ SV593 @ SV936 ) )
        = $true )
      | ( ( SV289
          = ( SV593 @ SV814 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3704]) ).

thf(4086,plain,
    ( ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $true )
    | ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $true )
    | ( ( ( finite772340578real_c @ ( produc314122909real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ x ) ) ) @ i2 )
        = ( finite772340578real_c @ bb @ i2 ) )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3705]) ).

thf(4087,plain,
    ! [SV293: set_Sum_sum_c_d,SV597: sum_sum_c_d > sum_sum_c_c,SV817: sum_sum_c_d > set_Sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_d @ ( sK55_SY2562 @ SV817 @ SV597 @ SV293 ) @ SV293 )
        = $true )
      | ( ( member71251457um_c_c @ SV597 @ ( pi_Sum1145067928um_c_c @ SV293 @ SV817 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3706]) ).

thf(4088,plain,
    ! [SV819: set_Sum_sum_c_c,SV601: sum_sum_c_c > sum_sum_c_c,SV297: sum_sum_c_c] :
      ( ( ( SV297
         != ( SV601 @ ( sK74_SY2565 @ SV819 @ SV601 @ SV297 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ SV297 @ ( image_666880337um_c_c @ SV601 @ SV819 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3708]) ).

thf(4089,plain,
    ! [SV297: sum_sum_c_c,SV601: sum_sum_c_c > sum_sum_c_c,SV819: set_Sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sK74_SY2565 @ SV819 @ SV601 @ SV297 ) @ SV819 ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ SV297 @ ( image_666880337um_c_c @ SV601 @ SV819 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3708]) ).

thf(4090,plain,
    ! [SV820: set_Sum_sum_c_d,SV602: sum_sum_c_d > c,SV298: c] :
      ( ( ( SV298
         != ( SV602 @ ( sK75_SY2566 @ SV820 @ SV602 @ SV298 ) ) )
        = $false )
      | ( ( member_c @ SV298 @ ( image_Sum_sum_c_d_c @ SV602 @ SV820 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3709]) ).

thf(4091,plain,
    ! [SV298: c,SV602: sum_sum_c_d > c,SV820: set_Sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_d @ ( sK75_SY2566 @ SV820 @ SV602 @ SV298 ) @ SV820 ) )
        = $false )
      | ( ( member_c @ SV298 @ ( image_Sum_sum_c_d_c @ SV602 @ SV820 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3709]) ).

thf(4092,plain,
    ! [SV299: set_Sum_sum_c_d,SV603: sum_sum_c_d > sum_sum_c_c,SV821: sum_sum_c_d > set_Sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_d @ ( sK56_SY2567 @ SV821 @ SV603 @ SV299 ) @ SV299 )
        = $true )
      | ( ( member71251457um_c_c @ SV603 @ ( pi_Sum1145067928um_c_c @ SV299 @ SV821 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3710]) ).

thf(4093,plain,
    ! [SV300: set_c,SV604: c > sum_sum_c_d,SV822: c > set_Sum_sum_c_d] :
      ( ( ( member_c @ ( sK57_SY2568 @ SV822 @ SV604 @ SV300 ) @ SV300 )
        = $true )
      | ( ( member_c_Sum_sum_c_d @ SV604 @ ( pi_c_Sum_sum_c_d @ SV300 @ SV822 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3712]) ).

thf(4094,plain,
    ! [SV823: set_Sum_sum_c_d,SV605: sum_sum_c_d > sum_sum_c_d,SV301: sum_sum_c_d] :
      ( ( ( SV301
         != ( SV605 @ ( sK76_SY2569 @ SV823 @ SV605 @ SV301 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_d @ SV301 @ ( image_1567202899um_c_d @ SV605 @ SV823 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3714]) ).

thf(4095,plain,
    ! [SV301: sum_sum_c_d,SV605: sum_sum_c_d > sum_sum_c_d,SV823: set_Sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_d @ ( sK76_SY2569 @ SV823 @ SV605 @ SV301 ) @ SV823 ) )
        = $false )
      | ( ( member_Sum_sum_c_d @ SV301 @ ( image_1567202899um_c_d @ SV605 @ SV823 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3714]) ).

thf(4096,plain,
    ! [SV937: produc957004601l_real,SV606: produc957004601l_real] :
      ( ( ( ord_le1342644953l_real @ SV606 @ SV937 )
        = $false )
      | ( ( ~ ( ~ ( ord_le1342644953l_real @ SV606 @ SV937 )
              | ~ ~ ( ~ ( ord_less_eq_real @ ( produc1422991709l_real @ SV606 ) @ ( produc1422991709l_real @ SV937 ) )
                    | ~ ( ord_less_eq_real @ ( produc1407670175l_real @ SV606 ) @ ( produc1407670175l_real @ SV937 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3715]) ).

thf(4097,plain,
    ! [SV937: produc957004601l_real,SV606: produc957004601l_real] :
      ( ( ( ~ ( ~ ( ord_less_eq_real @ ( produc1422991709l_real @ SV606 ) @ ( produc1422991709l_real @ SV937 ) )
              | ~ ( ord_less_eq_real @ ( produc1407670175l_real @ SV606 ) @ ( produc1407670175l_real @ SV937 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le1342644953l_real @ SV606 @ SV937 )
              | ~ ~ ( ~ ( ord_less_eq_real @ ( produc1422991709l_real @ SV606 ) @ ( produc1422991709l_real @ SV937 ) )
                    | ~ ( ord_less_eq_real @ ( produc1407670175l_real @ SV606 ) @ ( produc1407670175l_real @ SV937 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3715]) ).

thf(4098,plain,
    ! [SV303: set_Sum_sum_c_c,SV607: sum_sum_c_c > c,SV825: sum_sum_c_c > set_c] :
      ( ( ( member_Sum_sum_c_c @ ( sK58_SY2570 @ SV825 @ SV607 @ SV303 ) @ SV303 )
        = $true )
      | ( ( member_Sum_sum_c_c_c @ SV607 @ ( pi_Sum_sum_c_c_c @ SV303 @ SV825 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3716]) ).

thf(4099,plain,
    ! [SV608: produc190496183real_c,SV304: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV304 @ ( denota968303861_a_b_c @ i @ p ) )
        = $false )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV304 @ ( denota968303861_a_b_c @ i @ p ) )
              | ~ ( member1895684704real_c @ SV608 @ ( denota968303861_a_b_c @ i @ p ) ) ) )
        = $true )
      | ( ( denota1997846518gree_c @ SV304 @ SV608 @ ( static_FVF_a_b_c @ p ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3718]) ).

thf(4100,plain,
    ! [SV304: produc190496183real_c,SV608: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV608 @ ( denota968303861_a_b_c @ i @ p ) )
        = $false )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV304 @ ( denota968303861_a_b_c @ i @ p ) )
              | ~ ( member1895684704real_c @ SV608 @ ( denota968303861_a_b_c @ i @ p ) ) ) )
        = $true )
      | ( ( denota1997846518gree_c @ SV304 @ SV608 @ ( static_FVF_a_b_c @ p ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3718]) ).

thf(4101,plain,
    ! [SV305: set_c,SV938: c > sum_sum_c_d,SV826: c > sum_sum_c_d,SV609: set_c] :
      ( ( ( ! [SY2646: c] :
              ( ~ ( member_c @ SY2646 @ SV609 )
              | ( ( SV826 @ SY2646 )
                = ( SV938 @ SY2646 ) ) ) )
        = $false )
      | ( ( ( image_c_Sum_sum_c_d @ SV826 @ SV305 )
          = ( image_c_Sum_sum_c_d @ SV938 @ SV609 ) )
        = $true )
      | ( ( SV305 = SV609 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3719]) ).

thf(4102,plain,
    ! [SV306: set_Sum_sum_c_c,SV610: sum_sum_c_c > c,SV827: sum_sum_c_c > set_c] :
      ( ( ( member_Sum_sum_c_c @ ( sK59_SY2573 @ SV827 @ SV610 @ SV306 ) @ SV306 )
        = $true )
      | ( ( member_Sum_sum_c_c_c @ SV610 @ ( pi_Sum_sum_c_c_c @ SV306 @ SV827 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3720]) ).

thf(4103,plain,
    ! [SV617: set_Sum_sum_c_d,SV313: sum_sum_c_d,SV939: sum_sum_c_d > sum_sum_c_d,SV829: sum_sum_c_d] :
      ( ( ( SV829
          = ( SV939 @ SV313 ) )
        = $false )
      | ( ( member_Sum_sum_c_d @ SV829 @ ( image_1567202899um_c_d @ SV939 @ SV617 ) )
        = $true )
      | ( ( member_Sum_sum_c_d @ SV313 @ SV617 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3723]) ).

thf(4104,plain,
    ! [SV618: set_c,SV830: c > set_c,SV940: c,SV314: c > c] :
      ( ( ( ~ ( member_c @ ( SV314 @ SV940 ) @ ( SV830 @ SV940 ) ) )
        = $false )
      | ( ( ~ ( member_c @ SV940 @ SV618 ) )
        = $true )
      | ( ( member_c_c @ SV314 @ ( pi_c_c @ SV618 @ SV830 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3724]) ).

thf(4105,plain,
    ! [SV941: finite1398487019real_c,SV831: finite1398487019real_c,SV619: finite1398487019real_c,SV315: finite1398487019real_c] :
      ( ( ( ord_le850691415real_c @ ( produc394644079real_c @ SV315 @ SV619 ) @ ( produc394644079real_c @ SV831 @ SV941 ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le850691415real_c @ ( produc394644079real_c @ SV315 @ SV619 ) @ ( produc394644079real_c @ SV831 @ SV941 ) )
              | ~ ~ ( ~ ( ord_le775706699real_c @ SV315 @ SV831 )
                    | ~ ( ord_le775706699real_c @ SV619 @ SV941 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3725]) ).

thf(4106,plain,
    ! [SV941: finite1398487019real_c,SV619: finite1398487019real_c,SV831: finite1398487019real_c,SV315: finite1398487019real_c] :
      ( ( ( ~ ( ~ ( ord_le775706699real_c @ SV315 @ SV831 )
              | ~ ( ord_le775706699real_c @ SV619 @ SV941 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le850691415real_c @ ( produc394644079real_c @ SV315 @ SV619 ) @ ( produc394644079real_c @ SV831 @ SV941 ) )
              | ~ ~ ( ~ ( ord_le775706699real_c @ SV315 @ SV831 )
                    | ~ ( ord_le775706699real_c @ SV619 @ SV941 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3725]) ).

thf(4107,plain,
    ! [SV832: real > set_Fi1407883041real_c,SV620: set_real,SV316: real > finite1398487019real_c] :
      ( ( ( ~ ( member1321351885real_c @ SV316 @ ( pi_rea1111636068real_c @ SV620 @ SV832 ) )
          | ~ ! [SY2577: real] :
                ( ~ ( member_real @ SY2577 @ SV620 )
                | ( member1261661570real_c @ ( SV316 @ SY2577 ) @ ( SV832 @ SY2577 ) ) ) )
        = $false )
      | ( ( member1321351885real_c @ SV316 @ ( pi_rea1111636068real_c @ SV620 @ SV832 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3726]) ).

thf(4108,plain,
    ! [SV620: set_real,SV316: real > finite1398487019real_c,SV832: real > set_Fi1407883041real_c] :
      ( ( ( ~ ( member_real @ ( sK81_SY2577 @ SV832 @ SV316 @ SV620 ) @ SV620 )
          | ( member1261661570real_c @ ( SV316 @ ( sK81_SY2577 @ SV832 @ SV316 @ SV620 ) ) @ ( SV832 @ ( sK81_SY2577 @ SV832 @ SV316 @ SV620 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( member1321351885real_c @ SV316 @ ( pi_rea1111636068real_c @ SV620 @ SV832 ) )
              | ~ ! [SY2577: real] :
                    ( ~ ( member_real @ SY2577 @ SV620 )
                    | ( member1261661570real_c @ ( SV316 @ SY2577 ) @ ( SV832 @ SY2577 ) ) ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[3727]) ).

thf(4109,plain,
    ! [SV623: set_re2066790124real_c,SV835: ( real > finite1398487019real_c ) > set_c,SV942: real > finite1398487019real_c,SV319: ( real > finite1398487019real_c ) > c] :
      ( ( ( ~ ( member_c @ ( SV319 @ SV942 ) @ ( SV835 @ SV942 ) ) )
        = $false )
      | ( ( ~ ( member1321351885real_c @ SV942 @ SV623 ) )
        = $true )
      | ( ( member527957930al_c_c @ SV319 @ ( pi_rea1228756413al_c_c @ SV623 @ SV835 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3729]) ).

thf(4110,plain,
    ! [SV626: c > c,SV322: c,SV943: set_c,SV837: c] :
      ( ( ( member_c @ SV837 @ SV943 )
        = $false )
      | ( ( member_c @ SV322 @ ( image_c_c @ SV626 @ SV943 ) )
        = $true )
      | ( ( SV322
          = ( SV626 @ SV837 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3731]) ).

thf(4111,plain,
    ! [SV944: produc190496183real_c,SV627: produc190496183real_c] :
      ( ( ( SV627 = SV944 )
        = $false )
      | ( ( ~ ( ( SV627 != SV944 )
              | ~ ~ ( ( ( produc2010422875real_c @ SV627 )
                     != ( produc2010422875real_c @ SV944 ) )
                    | ( ( produc314122909real_c @ SV627 )
                     != ( produc314122909real_c @ SV944 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3732]) ).

thf(4112,plain,
    ! [SV944: produc190496183real_c,SV627: produc190496183real_c] :
      ( ( ( ~ ( ( ( produc2010422875real_c @ SV627 )
               != ( produc2010422875real_c @ SV944 ) )
              | ( ( produc314122909real_c @ SV627 )
               != ( produc314122909real_c @ SV944 ) ) ) )
        = $false )
      | ( ( ~ ( ( SV627 != SV944 )
              | ~ ~ ( ( ( produc2010422875real_c @ SV627 )
                     != ( produc2010422875real_c @ SV944 ) )
                    | ( ( produc314122909real_c @ SV627 )
                     != ( produc314122909real_c @ SV944 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3732]) ).

thf(4113,plain,
    ! [SV945: set_Pr1389752855real_c,SV628: set_Pr1389752855real_c] :
      ( ( ( ord_le977353143real_c @ SV628 @ SV945 )
        = $false )
      | ( ( ~ ( ~ ( ord_le977353143real_c @ SV628 @ SV945 )
              | ~ ! [SY2647: produc190496183real_c] :
                    ( ~ ( member1895684704real_c @ SY2647 @ SV628 )
                    | ( member1895684704real_c @ SY2647 @ SV945 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3733]) ).

thf(4114,plain,
    ! [SV945: set_Pr1389752855real_c,SV628: set_Pr1389752855real_c] :
      ( ( ( ! [SY2647: produc190496183real_c] :
              ( ~ ( member1895684704real_c @ SY2647 @ SV628 )
              | ( member1895684704real_c @ SY2647 @ SV945 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le977353143real_c @ SV628 @ SV945 )
              | ~ ! [SY2647: produc190496183real_c] :
                    ( ~ ( member1895684704real_c @ SY2647 @ SV628 )
                    | ( member1895684704real_c @ SY2647 @ SV945 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3733]) ).

thf(4115,plain,
    ! [SV842: set_c,SV631: c > sum_sum_c_c,SV327: set_Sum_sum_c_c] :
      ( ( ( ~ ( ord_le1772180283um_c_c @ SV327 @ ( image_c_Sum_sum_c_c @ SV631 @ SV842 ) )
          | ~ ~ ! [SY2581: set_c] :
                  ~ ~ ( ~ ( ord_less_eq_set_c @ SY2581 @ SV842 )
                      | ( SV327
                       != ( image_c_Sum_sum_c_c @ SV631 @ SY2581 ) ) ) )
        = $false )
      | ( ( ord_le1772180283um_c_c @ SV327 @ ( image_c_Sum_sum_c_c @ SV631 @ SV842 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3734]) ).

thf(4116,plain,
    ! [SV631: c > sum_sum_c_c,SV327: set_Sum_sum_c_c,SV842: set_c] :
      ( ( ( ! [SY2581: set_c] :
              ~ ~ ( ~ ( ord_less_eq_set_c @ SY2581 @ SV842 )
                  | ( SV327
                   != ( image_c_Sum_sum_c_c @ SV631 @ SY2581 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV327 @ ( image_c_Sum_sum_c_c @ SV631 @ SV842 ) )
              | ~ ~ ! [SY2581: set_c] :
                      ~ ~ ( ~ ( ord_less_eq_set_c @ SY2581 @ SV842 )
                          | ( SV327
                           != ( image_c_Sum_sum_c_c @ SV631 @ SY2581 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3735]) ).

thf(4117,plain,
    ! [SV844: sum_sum_c_d > $o,SV633: set_c,SV329: c > sum_sum_c_d,SV968: sum_sum_c_d] :
      ( ( ( ~ ( ~ ( member_Sum_sum_c_d @ SV968 @ ( image_c_Sum_sum_c_d @ SV329 @ SV633 ) )
              | ~ ( SV844 @ SV968 ) ) )
        = $false )
      | ( ( ~ ! [SY2585: c] :
                ~ ~ ( ~ ( member_c @ SY2585 @ SV633 )
                    | ~ ( SV844 @ ( SV329 @ SY2585 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3736]) ).

thf(4118,plain,
    ! [SV634: sum_sum_c_c > sum_sum_c_d,SV330: sum_sum_c_d,SV946: set_Sum_sum_c_c,SV845: sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ SV845 @ SV946 )
        = $false )
      | ( ( member_Sum_sum_c_d @ SV330 @ ( image_675141842um_c_d @ SV634 @ SV946 ) )
        = $true )
      | ( ( SV330
          = ( SV634 @ SV845 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3737]) ).

thf(4119,plain,
    ! [SV948: finite1398487019real_c,SV636: finite1398487019real_c,SV847: finite1398487019real_c,SV332: finite1398487019real_c] :
      ( ( ( SV332 != SV847 )
        = $false )
      | ( ( ( produc394644079real_c @ SV332 @ SV636 )
          = ( produc394644079real_c @ SV847 @ SV948 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3739]) ).

thf(4120,plain,
    ! [SV847: finite1398487019real_c,SV332: finite1398487019real_c,SV948: finite1398487019real_c,SV636: finite1398487019real_c] :
      ( ( ( SV636 != SV948 )
        = $false )
      | ( ( ( produc394644079real_c @ SV332 @ SV636 )
          = ( produc394644079real_c @ SV847 @ SV948 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3739]) ).

thf(4121,plain,
    ! [SV334: set_c,SV637: c > sum_sum_c_c,SV848: set_Sum_sum_c_c] :
      ( ( ( member_c @ ( sK60_SY2592 @ SV848 @ SV637 @ SV334 ) @ SV334 )
        = $true )
      | ( ( member_c_Sum_sum_c_c @ SV637
          @ ( pi_c_Sum_sum_c_c @ SV334
            @ ^ [SY2593: c] : SV848 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3740]) ).

thf(4122,plain,
    ( ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $true )
    | ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $true )
    | ( ( ( finite772340578real_c
          @ ( produc314122909real_c
            @ ( denota161327353_a_b_c @ i @ oDEa
              @ ( produc394644079real_c
                @ ( finite557796307c_real
                  @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                @ bb )
              @ ( finite557796307c_real
                @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
          @ i2 )
        = ( finite772340578real_c @ bb @ i2 ) )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3742]) ).

thf(4123,plain,
    ! [SV850: finite1398487019real_c,SV337: finite1398487019real_c] :
      ( ( ( ~ ( ord_le775706699real_c @ SV337 @ SV850 )
          | ~ ! [SY2596: c] : ( ord_less_eq_real @ ( finite772340578real_c @ SV337 @ SY2596 ) @ ( finite772340578real_c @ SV850 @ SY2596 ) ) )
        = $false )
      | ( ( ord_le775706699real_c @ SV337 @ SV850 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3743]) ).

thf(4124,plain,
    ! [SV850: finite1398487019real_c,SV337: finite1398487019real_c] :
      ( ( ( ord_less_eq_real @ ( finite772340578real_c @ SV337 @ ( sK82_SY2596 @ SV850 @ SV337 ) ) @ ( finite772340578real_c @ SV850 @ ( sK82_SY2596 @ SV850 @ SV337 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le775706699real_c @ SV337 @ SV850 )
              | ~ ! [SY2596: c] : ( ord_less_eq_real @ ( finite772340578real_c @ SV337 @ SY2596 ) @ ( finite772340578real_c @ SV850 @ SY2596 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[3744]) ).

thf(4125,plain,
    ! [SV338: finite1398487019real_c,SV7: finite1398487019real_c] :
      ( ( ( ( ( finite772340578real_c @ SV7 )
           != ( finite772340578real_c @ SV338 ) )
          | ( SV7 != SV338 ) )
        = $false )
      | ( ( ( finite772340578real_c @ SV7 @ ( sK77_SV963 @ SV338 @ SV7 ) )
          = ( finite772340578real_c @ SV338 @ ( sK77_SV963 @ SV338 @ SV7 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3745]) ).

thf(4126,plain,
    ! [SV338: finite1398487019real_c,SV7: finite1398487019real_c] :
      ( ( ( ( finite772340578real_c @ SV7 )
         != ( finite772340578real_c @ SV338 ) )
        = $false )
      | ( ( ( finite772340578real_c @ SV7 )
          = ( finite772340578real_c @ SV338 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3746]) ).

thf(4127,plain,
    ! [SV338: finite1398487019real_c,SV7: finite1398487019real_c] :
      ( ( ( SV7 != SV338 )
        = $false )
      | ( ( ( finite772340578real_c @ SV7 )
          = ( finite772340578real_c @ SV338 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3746]) ).

thf(4128,plain,
    ! [SV338: finite1398487019real_c,SV7: finite1398487019real_c] :
      ( ( ( ( finite772340578real_c @ SV7 )
          = ( finite772340578real_c @ SV338 ) )
        = $true )
      | ( ( SV7 = SV338 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3747]) ).

thf(4129,plain,
    ! [SV338: finite1398487019real_c,SV7: finite1398487019real_c] :
      ( ( ( SV7 = SV338 )
        = $true )
      | ( ( SV7 = SV338 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3748]) ).

thf(4130,plain,
    ! [SV851: finite1398487019real_c,SV339: finite1398487019real_c] :
      ( ( ( ( SV339 != SV851 )
          | ~ ! [SY2597: c] :
                ( ( finite772340578real_c @ SV339 @ SY2597 )
                = ( finite772340578real_c @ SV851 @ SY2597 ) ) )
        = $false )
      | ( ( SV339 = SV851 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3749]) ).

thf(4131,plain,
    ! [SV851: finite1398487019real_c,SV339: finite1398487019real_c] :
      ( ( ( ( finite772340578real_c @ SV339 @ ( sK83_SY2597 @ SV851 @ SV339 ) )
          = ( finite772340578real_c @ SV851 @ ( sK83_SY2597 @ SV851 @ SV339 ) ) )
        = $false )
      | ( ( ~ ( ( SV339 != SV851 )
              | ~ ! [SY2597: c] :
                    ( ( finite772340578real_c @ SV339 @ SY2597 )
                    = ( finite772340578real_c @ SV851 @ SY2597 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[3750]) ).

thf(4132,plain,
    ! [SV340: sum_sum_c_c > $o,SV9: sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ SV9 @ ( collect_Sum_sum_c_c @ SV340 ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ SV9 @ ( collect_Sum_sum_c_c @ SV340 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3751]) ).

thf(4133,plain,
    ! [SV9: sum_sum_c_c,SV340: sum_sum_c_c > $o] :
      ( ( ( SV340 @ SV9 )
        = $true )
      | ( ( member_Sum_sum_c_c @ SV9 @ ( collect_Sum_sum_c_c @ SV340 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3752]) ).

thf(4134,plain,
    ! [SV340: sum_sum_c_c > $o,SV9: sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ SV9 @ ( collect_Sum_sum_c_c @ SV340 ) )
        = $true )
      | ( ( SV340 @ SV9 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3753]) ).

thf(4135,plain,
    ! [SV9: sum_sum_c_c,SV340: sum_sum_c_c > $o] :
      ( ( ( SV340 @ SV9 )
        = $true )
      | ( ( SV340 @ SV9 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3754]) ).

thf(4136,plain,
    ! [SV341: sum_sum_c_d > $o,SV10: sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ SV10 @ ( collect_Sum_sum_c_d @ SV341 ) )
        = $true )
      | ( ( member_Sum_sum_c_d @ SV10 @ ( collect_Sum_sum_c_d @ SV341 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3755]) ).

thf(4137,plain,
    ! [SV10: sum_sum_c_d,SV341: sum_sum_c_d > $o] :
      ( ( ( SV341 @ SV10 )
        = $true )
      | ( ( member_Sum_sum_c_d @ SV10 @ ( collect_Sum_sum_c_d @ SV341 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3756]) ).

thf(4138,plain,
    ! [SV341: sum_sum_c_d > $o,SV10: sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ SV10 @ ( collect_Sum_sum_c_d @ SV341 ) )
        = $true )
      | ( ( SV341 @ SV10 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3757]) ).

thf(4139,plain,
    ! [SV10: sum_sum_c_d,SV341: sum_sum_c_d > $o] :
      ( ( ( SV341 @ SV10 )
        = $true )
      | ( ( SV341 @ SV10 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3758]) ).

thf(4140,plain,
    ! [SV342: produc190496183real_c > $o,SV11: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV11 @ ( collec1643251106real_c @ SV342 ) )
        = $true )
      | ( ( member1895684704real_c @ SV11 @ ( collec1643251106real_c @ SV342 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3759]) ).

thf(4141,plain,
    ! [SV11: produc190496183real_c,SV342: produc190496183real_c > $o] :
      ( ( ( SV342 @ SV11 )
        = $true )
      | ( ( member1895684704real_c @ SV11 @ ( collec1643251106real_c @ SV342 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3760]) ).

thf(4142,plain,
    ! [SV342: produc190496183real_c > $o,SV11: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV11 @ ( collec1643251106real_c @ SV342 ) )
        = $true )
      | ( ( SV342 @ SV11 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3761]) ).

thf(4143,plain,
    ! [SV11: produc190496183real_c,SV342: produc190496183real_c > $o] :
      ( ( ( SV342 @ SV11 )
        = $true )
      | ( ( SV342 @ SV11 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3762]) ).

thf(4144,plain,
    ! [SV343: ( real > finite1398487019real_c ) > $o,SV12: real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ SV12 @ ( collec913357835real_c @ SV343 ) )
        = $true )
      | ( ( member1321351885real_c @ SV12 @ ( collec913357835real_c @ SV343 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3763]) ).

thf(4145,plain,
    ! [SV12: real > finite1398487019real_c,SV343: ( real > finite1398487019real_c ) > $o] :
      ( ( ( SV343 @ SV12 )
        = $true )
      | ( ( member1321351885real_c @ SV12 @ ( collec913357835real_c @ SV343 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3764]) ).

thf(4146,plain,
    ! [SV343: ( real > finite1398487019real_c ) > $o,SV12: real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ SV12 @ ( collec913357835real_c @ SV343 ) )
        = $true )
      | ( ( SV343 @ SV12 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3765]) ).

thf(4147,plain,
    ! [SV12: real > finite1398487019real_c,SV343: ( real > finite1398487019real_c ) > $o] :
      ( ( ( SV343 @ SV12 )
        = $true )
      | ( ( SV343 @ SV12 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3766]) ).

thf(4148,plain,
    ! [SV344: finite1398487019real_c > $o,SV13: finite1398487019real_c] :
      ( ( ( member1261661570real_c @ SV13 @ ( collec230941376real_c @ SV344 ) )
        = $true )
      | ( ( member1261661570real_c @ SV13 @ ( collec230941376real_c @ SV344 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3767]) ).

thf(4149,plain,
    ! [SV13: finite1398487019real_c,SV344: finite1398487019real_c > $o] :
      ( ( ( SV344 @ SV13 )
        = $true )
      | ( ( member1261661570real_c @ SV13 @ ( collec230941376real_c @ SV344 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3768]) ).

thf(4150,plain,
    ! [SV344: finite1398487019real_c > $o,SV13: finite1398487019real_c] :
      ( ( ( member1261661570real_c @ SV13 @ ( collec230941376real_c @ SV344 ) )
        = $true )
      | ( ( SV344 @ SV13 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3769]) ).

thf(4151,plain,
    ! [SV13: finite1398487019real_c,SV344: finite1398487019real_c > $o] :
      ( ( ( SV344 @ SV13 )
        = $true )
      | ( ( SV344 @ SV13 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3770]) ).

thf(4152,plain,
    ! [SV345: c > $o,SV14: c] :
      ( ( ( member_c @ SV14 @ ( collect_c @ SV345 ) )
        = $true )
      | ( ( member_c @ SV14 @ ( collect_c @ SV345 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3771]) ).

thf(4153,plain,
    ! [SV14: c,SV345: c > $o] :
      ( ( ( SV345 @ SV14 )
        = $true )
      | ( ( member_c @ SV14 @ ( collect_c @ SV345 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3772]) ).

thf(4154,plain,
    ! [SV345: c > $o,SV14: c] :
      ( ( ( member_c @ SV14 @ ( collect_c @ SV345 ) )
        = $true )
      | ( ( SV345 @ SV14 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3773]) ).

thf(4155,plain,
    ! [SV14: c,SV345: c > $o] :
      ( ( ( SV345 @ SV14 )
        = $true )
      | ( ( SV345 @ SV14 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3774]) ).

thf(4156,plain,
    ! [SV348: c > real,SV24: finite1398487019real_c] :
      ( ( ( ~ ! [SY1885: c] :
                ( ( finite772340578real_c @ SV24 @ SY1885 )
                = ( SV348 @ SY1885 ) ) )
        = $false )
      | ( ( ( finite772340578real_c @ SV24 @ ( sK61_SY1885 @ SV348 @ SV24 ) )
          = ( SV348 @ ( sK61_SY1885 @ SV348 @ SV24 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3775]) ).

thf(4157,plain,
    ! [SV24: finite1398487019real_c,SV348: c > real] :
      ( ( ( ( finite557796307c_real @ SV348 )
         != SV24 )
        = $false )
      | ( ( ( finite772340578real_c @ SV24 @ ( sK61_SY1885 @ SV348 @ SV24 ) )
          = ( SV348 @ ( sK61_SY1885 @ SV348 @ SV24 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3775]) ).

thf(4158,plain,
    ! [SV348: c > real,SV24: finite1398487019real_c] :
      ( ( ( ! [SY1885: c] :
              ( ( finite772340578real_c @ SV24 @ SY1885 )
              = ( SV348 @ SY1885 ) ) )
        = $true )
      | ( ( ( finite557796307c_real @ SV348 )
          = SV24 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3776]) ).

thf(4159,plain,
    ! [SV24: finite1398487019real_c,SV348: c > real] :
      ( ( ( ( finite557796307c_real @ SV348 )
          = SV24 )
        = $true )
      | ( ( ( finite557796307c_real @ SV348 )
          = SV24 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3777]) ).

thf(4160,plain,
    ! [SV351: real,SV33: real] :
      ( ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV33 ) @ ( uminus_uminus_real @ SV351 ) )
        = $true )
      | ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV33 ) @ ( uminus_uminus_real @ SV351 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3796]) ).

thf(4161,plain,
    ! [SV33: real,SV351: real] :
      ( ( ( ord_less_eq_real @ SV351 @ SV33 )
        = $true )
      | ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV33 ) @ ( uminus_uminus_real @ SV351 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3797]) ).

thf(4162,plain,
    ! [SV351: real,SV33: real] :
      ( ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV33 ) @ ( uminus_uminus_real @ SV351 ) )
        = $true )
      | ( ( ord_less_eq_real @ SV351 @ SV33 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3798]) ).

thf(4163,plain,
    ! [SV33: real,SV351: real] :
      ( ( ( ord_less_eq_real @ SV351 @ SV33 )
        = $true )
      | ( ( ord_less_eq_real @ SV351 @ SV33 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3799]) ).

thf(4164,plain,
    ! [SV355: real,SV43: real] :
      ( ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV43 ) @ SV355 )
        = $true )
      | ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV43 ) @ SV355 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3816]) ).

thf(4165,plain,
    ! [SV43: real,SV355: real] :
      ( ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV355 ) @ SV43 )
        = $true )
      | ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV43 ) @ SV355 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3817]) ).

thf(4166,plain,
    ! [SV355: real,SV43: real] :
      ( ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV43 ) @ SV355 )
        = $true )
      | ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV355 ) @ SV43 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3818]) ).

thf(4167,plain,
    ! [SV43: real,SV355: real] :
      ( ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV355 ) @ SV43 )
        = $true )
      | ( ( ord_less_eq_real @ ( uminus_uminus_real @ SV355 ) @ SV43 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3819]) ).

thf(4168,plain,
    ! [SV356: real,SV44: real] :
      ( ( ( ord_less_eq_real @ SV44 @ ( uminus_uminus_real @ SV356 ) )
        = $true )
      | ( ( ord_less_eq_real @ SV44 @ ( uminus_uminus_real @ SV356 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3820]) ).

thf(4169,plain,
    ! [SV44: real,SV356: real] :
      ( ( ( ord_less_eq_real @ SV356 @ ( uminus_uminus_real @ SV44 ) )
        = $true )
      | ( ( ord_less_eq_real @ SV44 @ ( uminus_uminus_real @ SV356 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3821]) ).

thf(4170,plain,
    ! [SV356: real,SV44: real] :
      ( ( ( ord_less_eq_real @ SV44 @ ( uminus_uminus_real @ SV356 ) )
        = $true )
      | ( ( ord_less_eq_real @ SV356 @ ( uminus_uminus_real @ SV44 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3822]) ).

thf(4171,plain,
    ! [SV44: real,SV356: real] :
      ( ( ( ord_less_eq_real @ SV356 @ ( uminus_uminus_real @ SV44 ) )
        = $true )
      | ( ( ord_less_eq_real @ SV356 @ ( uminus_uminus_real @ SV44 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3823]) ).

thf(4172,plain,
    ! [SV644: oDE_a_c,SV362: denota231621370t_unit,SV51: c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SV51 ) @ ( denota1293057250_a_b_c @ SV362 @ SV644 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SV51 ) @ ( denota1293057250_a_b_c @ SV362 @ SV644 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3828]) ).

thf(4173,plain,
    ! [SV644: oDE_a_c,SV362: denota231621370t_unit,SV51: c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SV51 ) @ ( denota1293057250_a_b_c @ SV362 @ SV644 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SV51 ) @ ( denota1293057250_a_b_c @ SV362 @ SV644 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3828]) ).

thf(4174,plain,
    ! [SV644: oDE_a_c,SV362: denota231621370t_unit,SV51: c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SV51 ) @ ( denota1293057250_a_b_c @ SV362 @ SV644 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SV51 ) @ ( denota1293057250_a_b_c @ SV362 @ SV644 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3829]) ).

thf(4175,plain,
    ! [SV644: oDE_a_c,SV362: denota231621370t_unit,SV51: c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SV51 ) @ ( denota1293057250_a_b_c @ SV362 @ SV644 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SV51 ) @ ( denota1293057250_a_b_c @ SV362 @ SV644 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3829]) ).

thf(4176,plain,
    ! [SV363: set_Sum_sum_c_c,SV52: set_Sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SV52 ) @ ( uminus1381786404um_c_c @ SV363 ) )
        = $true )
      | ( ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SV52 ) @ ( uminus1381786404um_c_c @ SV363 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3830]) ).

thf(4177,plain,
    ! [SV52: set_Sum_sum_c_c,SV363: set_Sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ SV363 @ SV52 )
        = $true )
      | ( ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SV52 ) @ ( uminus1381786404um_c_c @ SV363 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3831]) ).

thf(4178,plain,
    ! [SV363: set_Sum_sum_c_c,SV52: set_Sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SV52 ) @ ( uminus1381786404um_c_c @ SV363 ) )
        = $true )
      | ( ( ord_le1772180283um_c_c @ SV363 @ SV52 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3832]) ).

thf(4179,plain,
    ! [SV52: set_Sum_sum_c_c,SV363: set_Sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ SV363 @ SV52 )
        = $true )
      | ( ( ord_le1772180283um_c_c @ SV363 @ SV52 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3833]) ).

thf(4180,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ ( equiv_a_b_c @ SV645 @ SV855 ) ) )
          | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
           != ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ ( equiv_a_b_c @ SV645 @ SV855 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3834]) ).

thf(4181,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ~ ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
              | ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
          | ~ ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
              | ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ ( equiv_a_b_c @ SV645 @ SV855 ) ) )
              | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
               != ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) ) ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[3835]) ).

thf(4182,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
          = ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
        = $false )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ ( equiv_a_b_c @ SV645 @ SV855 ) ) )
              | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
               != ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) ) ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[3835]) ).

thf(4183,plain,
    ! [SV365: set_Sum_sum_c_c,SV55: set_Sum_sum_c_c] :
      ( ( ( ( uminus1381786404um_c_c @ SV55 )
          = ( uminus1381786404um_c_c @ SV365 ) )
        = $true )
      | ( ( ( uminus1381786404um_c_c @ SV55 )
          = ( uminus1381786404um_c_c @ SV365 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3836]) ).

thf(4184,plain,
    ! [SV365: set_Sum_sum_c_c,SV55: set_Sum_sum_c_c] :
      ( ( ( SV55 = SV365 )
        = $true )
      | ( ( ( uminus1381786404um_c_c @ SV55 )
          = ( uminus1381786404um_c_c @ SV365 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3837]) ).

thf(4185,plain,
    ! [SV365: set_Sum_sum_c_c,SV55: set_Sum_sum_c_c] :
      ( ( ( ( uminus1381786404um_c_c @ SV55 )
          = ( uminus1381786404um_c_c @ SV365 ) )
        = $true )
      | ( ( SV55 = SV365 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3838]) ).

thf(4186,plain,
    ! [SV365: set_Sum_sum_c_c,SV55: set_Sum_sum_c_c] :
      ( ( ( SV55 = SV365 )
        = $true )
      | ( ( SV55 = SV365 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3839]) ).

thf(4187,plain,
    ! [SV368: set_Sum_sum_c_c,SV58: set_Sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SV58 ) @ ( uminus1381786404um_c_c @ SV368 ) )
        = $true )
      | ( ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SV58 ) @ ( uminus1381786404um_c_c @ SV368 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3840]) ).

thf(4188,plain,
    ! [SV58: set_Sum_sum_c_c,SV368: set_Sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ SV368 @ SV58 )
        = $true )
      | ( ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SV58 ) @ ( uminus1381786404um_c_c @ SV368 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3841]) ).

thf(4189,plain,
    ! [SV368: set_Sum_sum_c_c,SV58: set_Sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ ( uminus1381786404um_c_c @ SV58 ) @ ( uminus1381786404um_c_c @ SV368 ) )
        = $true )
      | ( ( ord_le1772180283um_c_c @ SV368 @ SV58 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3842]) ).

thf(4190,plain,
    ! [SV58: set_Sum_sum_c_c,SV368: set_Sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ SV368 @ SV58 )
        = $true )
      | ( ( ord_le1772180283um_c_c @ SV368 @ SV58 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3843]) ).

thf(4191,plain,
    ! [SV369: set_Sum_sum_c_c,SV59: set_Sum_sum_c_c] :
      ( ( ( ( uminus1381786404um_c_c @ SV59 )
          = ( uminus1381786404um_c_c @ SV369 ) )
        = $true )
      | ( ( ( uminus1381786404um_c_c @ SV59 )
          = ( uminus1381786404um_c_c @ SV369 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3844]) ).

thf(4192,plain,
    ! [SV369: set_Sum_sum_c_c,SV59: set_Sum_sum_c_c] :
      ( ( ( SV59 = SV369 )
        = $true )
      | ( ( ( uminus1381786404um_c_c @ SV59 )
          = ( uminus1381786404um_c_c @ SV369 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3845]) ).

thf(4193,plain,
    ! [SV369: set_Sum_sum_c_c,SV59: set_Sum_sum_c_c] :
      ( ( ( ( uminus1381786404um_c_c @ SV59 )
          = ( uminus1381786404um_c_c @ SV369 ) )
        = $true )
      | ( ( SV59 = SV369 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3846]) ).

thf(4194,plain,
    ! [SV369: set_Sum_sum_c_c,SV59: set_Sum_sum_c_c] :
      ( ( ( SV59 = SV369 )
        = $true )
      | ( ( SV59 = SV369 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3847]) ).

thf(4195,plain,
    ! [SV370: set_c,SV60: c] :
      ( ( ( member_c @ SV60 @ ( uminus_uminus_set_c @ SV370 ) )
        = $true )
      | ( ( member_c @ SV60 @ ( uminus_uminus_set_c @ SV370 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3848]) ).

thf(4196,plain,
    ! [SV370: set_c,SV60: c] :
      ( ( ( ~ ( member_c @ SV60 @ SV370 ) )
        = $true )
      | ( ( member_c @ SV60 @ ( uminus_uminus_set_c @ SV370 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3849]) ).

thf(4197,plain,
    ! [SV370: set_c,SV60: c] :
      ( ( ( ~ ( member_c @ SV60 @ ( uminus_uminus_set_c @ SV370 ) ) )
        = $false )
      | ( ( member_c @ SV60 @ SV370 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3850]) ).

thf(4198,plain,
    ! [SV370: set_c,SV60: c] :
      ( ( ( ~ ~ ( member_c @ SV60 @ SV370 ) )
        = $false )
      | ( ( member_c @ SV60 @ SV370 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3850]) ).

thf(4199,plain,
    ! [SV371: set_Sum_sum_c_d,SV61: sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ SV61 @ ( uminus373867045um_c_d @ SV371 ) )
        = $true )
      | ( ( member_Sum_sum_c_d @ SV61 @ ( uminus373867045um_c_d @ SV371 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3851]) ).

thf(4200,plain,
    ! [SV371: set_Sum_sum_c_d,SV61: sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_d @ SV61 @ SV371 ) )
        = $true )
      | ( ( member_Sum_sum_c_d @ SV61 @ ( uminus373867045um_c_d @ SV371 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3852]) ).

thf(4201,plain,
    ! [SV371: set_Sum_sum_c_d,SV61: sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_d @ SV61 @ ( uminus373867045um_c_d @ SV371 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_d @ SV61 @ SV371 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3853]) ).

thf(4202,plain,
    ! [SV371: set_Sum_sum_c_d,SV61: sum_sum_c_d] :
      ( ( ( ~ ~ ( member_Sum_sum_c_d @ SV61 @ SV371 ) )
        = $false )
      | ( ( member_Sum_sum_c_d @ SV61 @ SV371 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3853]) ).

thf(4203,plain,
    ! [SV372: set_Pr1389752855real_c,SV62: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV62 @ ( uminus232257166real_c @ SV372 ) )
        = $true )
      | ( ( member1895684704real_c @ SV62 @ ( uminus232257166real_c @ SV372 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3854]) ).

thf(4204,plain,
    ! [SV372: set_Pr1389752855real_c,SV62: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV62 @ SV372 ) )
        = $true )
      | ( ( member1895684704real_c @ SV62 @ ( uminus232257166real_c @ SV372 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3855]) ).

thf(4205,plain,
    ! [SV372: set_Pr1389752855real_c,SV62: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV62 @ ( uminus232257166real_c @ SV372 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV62 @ SV372 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3856]) ).

thf(4206,plain,
    ! [SV372: set_Pr1389752855real_c,SV62: produc190496183real_c] :
      ( ( ( ~ ~ ( member1895684704real_c @ SV62 @ SV372 ) )
        = $false )
      | ( ( member1895684704real_c @ SV62 @ SV372 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3856]) ).

thf(4207,plain,
    ! [SV373: set_re2066790124real_c,SV63: real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ SV63 @ ( uminus946614837real_c @ SV373 ) )
        = $true )
      | ( ( member1321351885real_c @ SV63 @ ( uminus946614837real_c @ SV373 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3857]) ).

thf(4208,plain,
    ! [SV373: set_re2066790124real_c,SV63: real > finite1398487019real_c] :
      ( ( ( ~ ( member1321351885real_c @ SV63 @ SV373 ) )
        = $true )
      | ( ( member1321351885real_c @ SV63 @ ( uminus946614837real_c @ SV373 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3858]) ).

thf(4209,plain,
    ! [SV373: set_re2066790124real_c,SV63: real > finite1398487019real_c] :
      ( ( ( ~ ( member1321351885real_c @ SV63 @ ( uminus946614837real_c @ SV373 ) ) )
        = $false )
      | ( ( member1321351885real_c @ SV63 @ SV373 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3859]) ).

thf(4210,plain,
    ! [SV373: set_re2066790124real_c,SV63: real > finite1398487019real_c] :
      ( ( ( ~ ~ ( member1321351885real_c @ SV63 @ SV373 ) )
        = $false )
      | ( ( member1321351885real_c @ SV63 @ SV373 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3859]) ).

thf(4211,plain,
    ! [SV374: set_Sum_sum_c_c,SV64: sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ SV64 @ ( uminus1381786404um_c_c @ SV374 ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ SV64 @ ( uminus1381786404um_c_c @ SV374 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3860]) ).

thf(4212,plain,
    ! [SV374: set_Sum_sum_c_c,SV64: sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ SV64 @ SV374 ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ SV64 @ ( uminus1381786404um_c_c @ SV374 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3861]) ).

thf(4213,plain,
    ! [SV374: set_Sum_sum_c_c,SV64: sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ SV64 @ ( uminus1381786404um_c_c @ SV374 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ SV64 @ SV374 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3862]) ).

thf(4214,plain,
    ! [SV374: set_Sum_sum_c_c,SV64: sum_sum_c_c] :
      ( ( ( ~ ~ ( member_Sum_sum_c_c @ SV64 @ SV374 ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ SV64 @ SV374 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3862]) ).

thf(4215,plain,
    ! [SV856: set_Sum_sum_c_c,SV381: set_Sum_sum_c_c] :
      ( ( ( ~ ( ord_le1772180283um_c_c @ SV381 @ SV856 )
          | ~ ( ord_le1315653386_c_c_o
              @ ^ [SY1915: sum_sum_c_c] : ( member_Sum_sum_c_c @ SY1915 @ SV381 )
              @ ^ [SY2608: sum_sum_c_c] : ( member_Sum_sum_c_c @ SY2608 @ SV856 ) ) )
        = $false )
      | ( ( ord_le1772180283um_c_c @ SV381 @ SV856 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3863]) ).

thf(4216,plain,
    ! [SV856: set_Sum_sum_c_c,SV381: set_Sum_sum_c_c] :
      ( ( ( ~ ( ord_le1772180283um_c_c @ SV381 @ SV856 )
          | ~ ( ord_le1315653386_c_c_o
              @ ^ [SY1915: sum_sum_c_c] : ( member_Sum_sum_c_c @ SY1915 @ SV381 )
              @ ^ [SY2608: sum_sum_c_c] : ( member_Sum_sum_c_c @ SY2608 @ SV856 ) ) )
        = $false )
      | ( ( ord_le1315653386_c_c_o
          @ ^ [SY1915: sum_sum_c_c] : ( member_Sum_sum_c_c @ SY1915 @ SV381 )
          @ ^ [SY2608: sum_sum_c_c] : ( member_Sum_sum_c_c @ SY2608 @ SV856 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3864]) ).

thf(4217,plain,
    ! [SV857: set_c,SV382: set_c] :
      ( ( ( ~ ( ord_less_eq_set_c @ SV382 @ SV857 )
          | ~ ( ord_less_eq_c_o
              @ ^ [SY1918: c] : ( member_c @ SY1918 @ SV382 )
              @ ^ [SY2610: c] : ( member_c @ SY2610 @ SV857 ) ) )
        = $false )
      | ( ( ord_less_eq_set_c @ SV382 @ SV857 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3865]) ).

thf(4218,plain,
    ! [SV857: set_c,SV382: set_c] :
      ( ( ( ~ ( ord_less_eq_set_c @ SV382 @ SV857 )
          | ~ ( ord_less_eq_c_o
              @ ^ [SY1918: c] : ( member_c @ SY1918 @ SV382 )
              @ ^ [SY2610: c] : ( member_c @ SY2610 @ SV857 ) ) )
        = $false )
      | ( ( ord_less_eq_c_o
          @ ^ [SY1918: c] : ( member_c @ SY1918 @ SV382 )
          @ ^ [SY2610: c] : ( member_c @ SY2610 @ SV857 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3866]) ).

thf(4219,plain,
    ! [SV858: set_Sum_sum_c_d,SV383: set_Sum_sum_c_d] :
      ( ( ( ~ ( ord_le764260924um_c_d @ SV383 @ SV858 )
          | ~ ( ord_le2143422793_c_d_o
              @ ^ [SY1921: sum_sum_c_d] : ( member_Sum_sum_c_d @ SY1921 @ SV383 )
              @ ^ [SY2612: sum_sum_c_d] : ( member_Sum_sum_c_d @ SY2612 @ SV858 ) ) )
        = $false )
      | ( ( ord_le764260924um_c_d @ SV383 @ SV858 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3867]) ).

thf(4220,plain,
    ! [SV858: set_Sum_sum_c_d,SV383: set_Sum_sum_c_d] :
      ( ( ( ~ ( ord_le764260924um_c_d @ SV383 @ SV858 )
          | ~ ( ord_le2143422793_c_d_o
              @ ^ [SY1921: sum_sum_c_d] : ( member_Sum_sum_c_d @ SY1921 @ SV383 )
              @ ^ [SY2612: sum_sum_c_d] : ( member_Sum_sum_c_d @ SY2612 @ SV858 ) ) )
        = $false )
      | ( ( ord_le2143422793_c_d_o
          @ ^ [SY1921: sum_sum_c_d] : ( member_Sum_sum_c_d @ SY1921 @ SV383 )
          @ ^ [SY2612: sum_sum_c_d] : ( member_Sum_sum_c_d @ SY2612 @ SV858 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3868]) ).

thf(4221,plain,
    ! [SV859: set_Pr1389752855real_c,SV384: set_Pr1389752855real_c] :
      ( ( ( ~ ( ord_le977353143real_c @ SV384 @ SV859 )
          | ~ ( ord_le1132241894al_c_o
              @ ^ [SY1924: produc190496183real_c] : ( member1895684704real_c @ SY1924 @ SV384 )
              @ ^ [SY2614: produc190496183real_c] : ( member1895684704real_c @ SY2614 @ SV859 ) ) )
        = $false )
      | ( ( ord_le977353143real_c @ SV384 @ SV859 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3869]) ).

thf(4222,plain,
    ! [SV859: set_Pr1389752855real_c,SV384: set_Pr1389752855real_c] :
      ( ( ( ~ ( ord_le977353143real_c @ SV384 @ SV859 )
          | ~ ( ord_le1132241894al_c_o
              @ ^ [SY1924: produc190496183real_c] : ( member1895684704real_c @ SY1924 @ SV384 )
              @ ^ [SY2614: produc190496183real_c] : ( member1895684704real_c @ SY2614 @ SV859 ) ) )
        = $false )
      | ( ( ord_le1132241894al_c_o
          @ ^ [SY1924: produc190496183real_c] : ( member1895684704real_c @ SY1924 @ SV384 )
          @ ^ [SY2614: produc190496183real_c] : ( member1895684704real_c @ SY2614 @ SV859 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3870]) ).

thf(4223,plain,
    ! [SV860: set_re2066790124real_c,SV385: set_re2066790124real_c] :
      ( ( ( ~ ( ord_le35002188real_c @ SV385 @ SV860 )
          | ~ ( ord_le818951225al_c_o
              @ ^ [SY1927: real > finite1398487019real_c] : ( member1321351885real_c @ SY1927 @ SV385 )
              @ ^ [SY2616: real > finite1398487019real_c] : ( member1321351885real_c @ SY2616 @ SV860 ) ) )
        = $false )
      | ( ( ord_le35002188real_c @ SV385 @ SV860 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3871]) ).

thf(4224,plain,
    ! [SV860: set_re2066790124real_c,SV385: set_re2066790124real_c] :
      ( ( ( ~ ( ord_le35002188real_c @ SV385 @ SV860 )
          | ~ ( ord_le818951225al_c_o
              @ ^ [SY1927: real > finite1398487019real_c] : ( member1321351885real_c @ SY1927 @ SV385 )
              @ ^ [SY2616: real > finite1398487019real_c] : ( member1321351885real_c @ SY2616 @ SV860 ) ) )
        = $false )
      | ( ( ord_le818951225al_c_o
          @ ^ [SY1927: real > finite1398487019real_c] : ( member1321351885real_c @ SY1927 @ SV385 )
          @ ^ [SY2616: real > finite1398487019real_c] : ( member1321351885real_c @ SY2616 @ SV860 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3872]) ).

thf(4225,plain,
    ! [SV658: set_Sum_sum_c_c,SV399: set_c,SV93: c > sum_sum_c_c] :
      ( ( ( ~ ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV93 @ SV399 ) @ SV658 ) )
        = $false )
      | ( ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV93 @ SV399 ) @ SV658 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3873]) ).

thf(4226,plain,
    ! [SV658: set_Sum_sum_c_c,SV399: set_c,SV93: c > sum_sum_c_c] :
      ( ( ( ~ ( member_c_Sum_sum_c_c @ SV93
              @ ( pi_c_Sum_sum_c_c @ SV399
                @ ^ [SY2391: c] : SV658 ) ) )
        = $false )
      | ( ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV93 @ SV399 ) @ SV658 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3873]) ).

thf(4227,plain,
    ! [SV658: set_Sum_sum_c_c,SV399: set_c,SV93: c > sum_sum_c_c] :
      ( ( ( ~ ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV93 @ SV399 ) @ SV658 ) )
        = $false )
      | ( ( member_c_Sum_sum_c_c @ SV93
          @ ( pi_c_Sum_sum_c_c @ SV399
            @ ^ [SY2391: c] : SV658 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3874]) ).

thf(4228,plain,
    ! [SV658: set_Sum_sum_c_c,SV399: set_c,SV93: c > sum_sum_c_c] :
      ( ( ( ~ ( member_c_Sum_sum_c_c @ SV93
              @ ( pi_c_Sum_sum_c_c @ SV399
                @ ^ [SY2391: c] : SV658 ) ) )
        = $false )
      | ( ( member_c_Sum_sum_c_c @ SV93
          @ ( pi_c_Sum_sum_c_c @ SV399
            @ ^ [SY2391: c] : SV658 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3874]) ).

thf(4229,plain,
    ! [SV659: set_Sum_sum_c_d,SV400: set_c,SV94: c > sum_sum_c_d] :
      ( ( ( ~ ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV94 @ SV400 ) @ SV659 ) )
        = $false )
      | ( ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV94 @ SV400 ) @ SV659 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3875]) ).

thf(4230,plain,
    ! [SV659: set_Sum_sum_c_d,SV400: set_c,SV94: c > sum_sum_c_d] :
      ( ( ( ~ ( member_c_Sum_sum_c_d @ SV94
              @ ( pi_c_Sum_sum_c_d @ SV400
                @ ^ [SY2392: c] : SV659 ) ) )
        = $false )
      | ( ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV94 @ SV400 ) @ SV659 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3875]) ).

thf(4231,plain,
    ! [SV659: set_Sum_sum_c_d,SV400: set_c,SV94: c > sum_sum_c_d] :
      ( ( ( ~ ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV94 @ SV400 ) @ SV659 ) )
        = $false )
      | ( ( member_c_Sum_sum_c_d @ SV94
          @ ( pi_c_Sum_sum_c_d @ SV400
            @ ^ [SY2392: c] : SV659 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3876]) ).

thf(4232,plain,
    ! [SV659: set_Sum_sum_c_d,SV400: set_c,SV94: c > sum_sum_c_d] :
      ( ( ( ~ ( member_c_Sum_sum_c_d @ SV94
              @ ( pi_c_Sum_sum_c_d @ SV400
                @ ^ [SY2392: c] : SV659 ) ) )
        = $false )
      | ( ( member_c_Sum_sum_c_d @ SV94
          @ ( pi_c_Sum_sum_c_d @ SV400
            @ ^ [SY2392: c] : SV659 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3876]) ).

thf(4233,plain,
    ! [SV660: set_Fi1407883041real_c,SV401: set_real,SV95: real > finite1398487019real_c] :
      ( ( ( ~ ( ord_le1327118209real_c @ ( image_327677598real_c @ SV95 @ SV401 ) @ SV660 ) )
        = $false )
      | ( ( ord_le1327118209real_c @ ( image_327677598real_c @ SV95 @ SV401 ) @ SV660 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3877]) ).

thf(4234,plain,
    ! [SV660: set_Fi1407883041real_c,SV401: set_real,SV95: real > finite1398487019real_c] :
      ( ( ( ~ ( member1321351885real_c @ SV95
              @ ( pi_rea1111636068real_c @ SV401
                @ ^ [SY2393: real] : SV660 ) ) )
        = $false )
      | ( ( ord_le1327118209real_c @ ( image_327677598real_c @ SV95 @ SV401 ) @ SV660 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3877]) ).

thf(4235,plain,
    ! [SV660: set_Fi1407883041real_c,SV401: set_real,SV95: real > finite1398487019real_c] :
      ( ( ( ~ ( ord_le1327118209real_c @ ( image_327677598real_c @ SV95 @ SV401 ) @ SV660 ) )
        = $false )
      | ( ( member1321351885real_c @ SV95
          @ ( pi_rea1111636068real_c @ SV401
            @ ^ [SY2393: real] : SV660 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3878]) ).

thf(4236,plain,
    ! [SV660: set_Fi1407883041real_c,SV401: set_real,SV95: real > finite1398487019real_c] :
      ( ( ( ~ ( member1321351885real_c @ SV95
              @ ( pi_rea1111636068real_c @ SV401
                @ ^ [SY2393: real] : SV660 ) ) )
        = $false )
      | ( ( member1321351885real_c @ SV95
          @ ( pi_rea1111636068real_c @ SV401
            @ ^ [SY2393: real] : SV660 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3878]) ).

thf(4237,plain,
    ! [SV98: $o] :
      ( ( SV98 = $true )
      | ( SV98 = $false )
      | ( ( SV98 = $false )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3879]) ).

thf(4238,plain,
    ! [SV98: $o] :
      ( ( $true = $true )
      | ( SV98 = $false )
      | ( ( SV98 = $false )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3880]) ).

thf(4239,plain,
    ! [SV98: $o] :
      ( ( SV98 = $true )
      | ( $true = $false )
      | ( ( SV98 = $false )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3881]) ).

thf(4240,plain,
    ! [SV98: $o] :
      ( ( $true = $true )
      | ( $true = $false )
      | ( ( SV98 = $false )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3882]) ).

thf(4241,plain,
    ! [SV98: $o] :
      ( ( ( ~ SV98 ) = $false )
      | ( SV98 = $false )
      | ( ( SV98 = $true )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3883]) ).

thf(4242,plain,
    ! [SV98: $o] :
      ( ( ( ~ $false ) = $false )
      | ( SV98 = $false )
      | ( ( SV98 = $true )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3883]) ).

thf(4243,plain,
    ! [SV98: $o] :
      ( ( ( ~ SV98 ) = $false )
      | ( $false = $false )
      | ( ( SV98 = $true )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3884]) ).

thf(4244,plain,
    ! [SV98: $o] :
      ( ( ( ~ $false ) = $false )
      | ( $false = $false )
      | ( ( SV98 = $true )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3884]) ).

thf(4245,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3885]) ).

thf(4246,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3886]) ).

thf(4247,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3887]) ).

thf(4248,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( ( $true = $false )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3888]) ).

thf(4249,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3889]) ).

thf(4250,plain,
    ( ( ( ~ $false ) = $false )
    | ( $true = $false )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3889]) ).

thf(4251,plain,
    ( ( ( ~ $true ) = $false )
    | ( $false = $false )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3890]) ).

thf(4252,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3890]) ).

thf(4253,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3891]) ).

thf(4254,plain,
    ( ( $true = $true )
    | ( $false = $false )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3892]) ).

thf(4255,plain,
    ( ( $false = $true )
    | ( $true = $false )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3893]) ).

thf(4256,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( ( $false = $false )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3894]) ).

thf(4257,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3895]) ).

thf(4258,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3895]) ).

thf(4259,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3896]) ).

thf(4260,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3896]) ).

thf(4261,plain,
    ! [SV865: finite1398487019real_c,SV666: finite1398487019real_c,SV412: finite1398487019real_c,SV107: finite1398487019real_c] :
      ( ( ( ( ( produc394644079real_c @ SV107 @ SV412 )
           != ( produc394644079real_c @ SV666 @ SV865 ) )
          | ~ ~ ( ( SV107 != SV666 )
                | ( SV412 != SV865 ) ) )
        = $false )
      | ( ( ( produc394644079real_c @ SV107 @ SV412 )
          = ( produc394644079real_c @ SV666 @ SV865 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3900]) ).

thf(4262,plain,
    ! [SV865: finite1398487019real_c,SV412: finite1398487019real_c,SV666: finite1398487019real_c,SV107: finite1398487019real_c] :
      ( ( ( ( SV107 != SV666 )
          | ( SV412 != SV865 ) )
        = $true )
      | ( ( ~ ( ( ( produc394644079real_c @ SV107 @ SV412 )
               != ( produc394644079real_c @ SV666 @ SV865 ) )
              | ~ ~ ( ( SV107 != SV666 )
                    | ( SV412 != SV865 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3901]) ).

thf(4263,plain,
    ! [SV668: set_c,SV414: c > sum_sum_c_d,SV109: set_Sum_sum_c_d] :
      ( ( ( ~ ( ord_le764260924um_c_d @ SV109 @ ( image_c_Sum_sum_c_d @ SV414 @ SV668 ) ) )
        = $false )
      | ( ( ord_le764260924um_c_d @ SV109 @ ( image_c_Sum_sum_c_d @ SV414 @ SV668 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3902]) ).

thf(4264,plain,
    ! [SV414: c > sum_sum_c_d,SV109: set_Sum_sum_c_d,SV668: set_c] :
      ( ( ( ~ ~ ! [SY2402: set_c] :
                  ~ ~ ( ~ ( ord_less_eq_set_c @ SY2402 @ SV668 )
                      | ( SV109
                       != ( image_c_Sum_sum_c_d @ SV414 @ SY2402 ) ) ) )
        = $false )
      | ( ( ord_le764260924um_c_d @ SV109 @ ( image_c_Sum_sum_c_d @ SV414 @ SV668 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3902]) ).

thf(4265,plain,
    ! [SV414: c > sum_sum_c_d,SV109: set_Sum_sum_c_d,SV668: set_c,SV973: set_c] :
      ( ( ( ~ ~ ( ~ ( ord_less_eq_set_c @ SV973 @ SV668 )
                | ( SV109
                 != ( image_c_Sum_sum_c_d @ SV414 @ SV973 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ord_le764260924um_c_d @ SV109 @ ( image_c_Sum_sum_c_d @ SV414 @ SV668 ) )
              | ~ ~ ! [SY2402: set_c] :
                      ~ ~ ( ~ ( ord_less_eq_set_c @ SY2402 @ SV668 )
                          | ( SV109
                           != ( image_c_Sum_sum_c_d @ SV414 @ SY2402 ) ) ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3903]) ).

thf(4266,plain,
    ! [SV110: produc190496183real_c,SV415: denota231621370t_unit,SV669: oDE_a_c,SV866: finite1398487019real_c] :
      ( ( ~ ( denota1997846518gree_c @ ( sK15_SY2621 @ SV866 @ SV669 @ SV415 @ SV110 ) @ SV110 @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ SV415 @ SV669 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3904]) ).

thf(4267,plain,
    ! [SV110: produc190496183real_c,SV415: denota231621370t_unit,SV669: oDE_a_c,SV866: finite1398487019real_c] :
      ( ( ~ ( denota1997846518gree_c @ ( sK15_SY2621 @ SV866 @ SV669 @ SV415 @ SV110 ) @ ( denota1896987029_a_b_c @ SV415 @ SV669 @ SV866 ) @ ( denota1293057250_a_b_c @ SV415 @ SV669 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[3904]) ).

thf(4268,plain,
    ( ( ( ~ ( ord_less_eq_real @ zero_zero_real @ t ) )
      = $true )
    | ( ( ( ( produc394644079real_c @ aa @ ba )
         != ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
        | ~ ( initia1631504802real_c @ sol
            @ ^ [SX0: real] : ( denota1275485728_a_b_c @ i @ oDEa )
            @ ( set_or656347191t_real @ zero_zero_real @ t )
            @ ( collec230941376real_c
              @ ^ [SX0: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ SX0 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) )
        | ~ ( denota256060419gree_c @ ( sol @ zero_zero_real ) @ ab
            @ ( collect_c
              @ ^ [SX0: c] :
                  ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_BVO_a_c @ oDEa ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( static_FVO_a_c @ oDEa ) ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_FVF_a_b_c @ phi ) ) ) ) )
        | ( ab
          = ( finite557796307c_real
            @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
      = $true )
    | ( ( p = phi )
      = $false )
    | ( ( ode = oDEa )
      = $false )
    | ( ( fsafe_a_b_c @ phi )
      = $false )
    | ( ( osafe_a_c @ oDEa )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3905]) ).

thf(4269,plain,
    ! [SV670: produc190496183real_c,SV417: produc190496183real_c,SV112: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV112 @ ( set_or385782508real_c @ SV417 @ SV670 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV112 @ ( set_or385782508real_c @ SV417 @ SV670 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3906]) ).

thf(4270,plain,
    ! [SV670: produc190496183real_c,SV112: produc190496183real_c,SV417: produc190496183real_c] :
      ( ( ( ~ ~ ( ~ ( ord_le850691415real_c @ SV417 @ SV112 )
                | ~ ( ord_le850691415real_c @ SV112 @ SV670 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV112 @ ( set_or385782508real_c @ SV417 @ SV670 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3906]) ).

thf(4271,plain,
    ! [SV670: produc190496183real_c,SV112: produc190496183real_c,SV417: produc190496183real_c] :
      ( ( ( ~ ( ord_le850691415real_c @ SV417 @ SV112 ) )
        = $true )
      | ( ( ~ ( ord_le850691415real_c @ SV112 @ SV670 ) )
        = $true )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV112 @ ( set_or385782508real_c @ SV417 @ SV670 ) )
              | ~ ~ ( ~ ( ord_le850691415real_c @ SV417 @ SV112 )
                    | ~ ( ord_le850691415real_c @ SV112 @ SV670 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3907]) ).

thf(4272,plain,
    ! [SV672: set_c,SV420: c > sum_sum_c_d,SV115: sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_d @ SV115 @ ( image_c_Sum_sum_c_d @ SV420 @ SV672 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_d @ SV115 @ ( image_c_Sum_sum_c_d @ SV420 @ SV672 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3909]) ).

thf(4273,plain,
    ! [SV420: c > sum_sum_c_d,SV115: sum_sum_c_d,SV672: set_c] :
      ( ( ( ~ ~ ! [SY2406: c] :
                  ~ ~ ( ~ ( member_c @ SY2406 @ SV672 )
                      | ( SV115
                       != ( SV420 @ SY2406 ) ) ) )
        = $false )
      | ( ( member_Sum_sum_c_d @ SV115 @ ( image_c_Sum_sum_c_d @ SV420 @ SV672 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3909]) ).

thf(4274,plain,
    ! [SV420: c > sum_sum_c_d,SV115: sum_sum_c_d,SV672: set_c,SV974: c] :
      ( ( ( ~ ~ ( ~ ( member_c @ SV974 @ SV672 )
                | ( SV115
                 != ( SV420 @ SV974 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( member_Sum_sum_c_d @ SV115 @ ( image_c_Sum_sum_c_d @ SV420 @ SV672 ) )
              | ~ ~ ! [SY2406: c] :
                      ~ ~ ( ~ ( member_c @ SY2406 @ SV672 )
                          | ( SV115
                           != ( SV420 @ SY2406 ) ) ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3910]) ).

thf(4275,plain,
    ! [SV674: real,SV422: real,SV117: real] :
      ( ( ( ~ ( member_real @ SV117 @ ( set_or656347191t_real @ SV422 @ SV674 ) ) )
        = $false )
      | ( ( member_real @ SV117 @ ( set_or656347191t_real @ SV422 @ SV674 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3912]) ).

thf(4276,plain,
    ! [SV674: real,SV117: real,SV422: real] :
      ( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV422 @ SV117 )
                | ~ ( ord_less_eq_real @ SV117 @ SV674 ) ) )
        = $false )
      | ( ( member_real @ SV117 @ ( set_or656347191t_real @ SV422 @ SV674 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3912]) ).

thf(4277,plain,
    ! [SV674: real,SV117: real,SV422: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV422 @ SV117 ) )
        = $true )
      | ( ( ~ ( ord_less_eq_real @ SV117 @ SV674 ) )
        = $true )
      | ( ( ~ ( ~ ( member_real @ SV117 @ ( set_or656347191t_real @ SV422 @ SV674 ) )
              | ~ ~ ( ~ ( ord_less_eq_real @ SV422 @ SV117 )
                    | ~ ( ord_less_eq_real @ SV117 @ SV674 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3913]) ).

thf(4278,plain,
    ! [SV675: set_Sum_sum_c_c,SV423: sum_sum_c_c > c,SV118: c] :
      ( ( ( SV118
          = ( SV423 @ ( sK62_SY2409 @ SV675 @ SV423 @ SV118 ) ) )
        = $true )
      | ( ( member_c @ SV118 @ ( image_Sum_sum_c_c_c @ SV423 @ SV675 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3914]) ).

thf(4279,plain,
    ! [SV118: c,SV423: sum_sum_c_c > c,SV675: set_Sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ ( sK62_SY2409 @ SV675 @ SV423 @ SV118 ) @ SV675 )
        = $true )
      | ( ( member_c @ SV118 @ ( image_Sum_sum_c_c_c @ SV423 @ SV675 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3915]) ).

thf(4280,plain,
    ! [SV961: set_c,SV868: finite1398487019real_c,SV424: finite1398487019real_c] :
      ( ( ( ( denota256060419gree_c @ SV424 @ SV868 @ SV961 )
          | ! [SY2672: c] :
              ( ~ ( member_c @ SY2672 @ SV961 )
              | ( ( finite772340578real_c @ SV424 @ SY2672 )
                = ( finite772340578real_c @ SV868 @ SY2672 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( denota256060419gree_c @ SV424 @ SV868 @ SV961 )
              | ~ ! [SY2672: c] :
                    ( ~ ( member_c @ SY2672 @ SV961 )
                    | ( ( finite772340578real_c @ SV424 @ SY2672 )
                      = ( finite772340578real_c @ SV868 @ SY2672 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3916]) ).

thf(4281,plain,
    ! [SV869: set_Sum_sum_c_d,SV430: set_Sum_sum_c_d] :
      ( ( ( ~ ( ord_le764260924um_c_d @ SV430 @ SV869 )
          | ~ ! [SY2624: sum_sum_c_d] :
                ( ~ ( member_Sum_sum_c_d @ SY2624 @ SV430 )
                | ( member_Sum_sum_c_d @ SY2624 @ SV869 ) ) )
        = $false )
      | ( ( ord_le764260924um_c_d @ SV430 @ SV869 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3919]) ).

thf(4282,plain,
    ! [SV430: set_Sum_sum_c_d,SV869: set_Sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_d @ ( sK84_SY2624 @ SV869 @ SV430 ) @ SV430 )
          | ( member_Sum_sum_c_d @ ( sK84_SY2624 @ SV869 @ SV430 ) @ SV869 ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le764260924um_c_d @ SV430 @ SV869 )
              | ~ ! [SY2624: sum_sum_c_d] :
                    ( ~ ( member_Sum_sum_c_d @ SY2624 @ SV430 )
                    | ( member_Sum_sum_c_d @ SY2624 @ SV869 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[3920]) ).

thf(4283,plain,
    ! [SV129: c > sum_sum_c_c,SV683: sum_sum_c_c > $o,SV434: set_c,SV975: c] :
      ( ( ( ~ ( member_c @ SV975 @ SV434 )
          | ( SV683 @ ( SV129 @ SV975 ) ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sK20_SY2418 @ SV683 @ SV434 @ SV129 ) @ ( image_c_Sum_sum_c_c @ SV129 @ SV434 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3922]) ).

thf(4284,plain,
    ! [SV129: c > sum_sum_c_c,SV683: sum_sum_c_c > $o,SV434: set_c,SV971: c] :
      ( ( ( ~ ( member_c @ SV971 @ SV434 ) )
        = $true )
      | ( ( SV683 @ ( SV129 @ SV971 ) )
        = $true )
      | ( ( SV683 @ ( sK20_SY2418 @ SV683 @ SV434 @ SV129 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3923]) ).

thf(4285,plain,
    ! [SV871: set_re2066790124real_c,SV437: set_re2066790124real_c] :
      ( ( ( ~ ( ord_le35002188real_c @ SV437 @ SV871 )
          | ~ ! [SY2625: real > finite1398487019real_c] :
                ( ~ ( member1321351885real_c @ SY2625 @ SV437 )
                | ( member1321351885real_c @ SY2625 @ SV871 ) ) )
        = $false )
      | ( ( ord_le35002188real_c @ SV437 @ SV871 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3926]) ).

thf(4286,plain,
    ! [SV437: set_re2066790124real_c,SV871: set_re2066790124real_c] :
      ( ( ( ~ ( member1321351885real_c @ ( sK85_SY2625 @ SV871 @ SV437 ) @ SV437 )
          | ( member1321351885real_c @ ( sK85_SY2625 @ SV871 @ SV437 ) @ SV871 ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le35002188real_c @ SV437 @ SV871 )
              | ~ ! [SY2625: real > finite1398487019real_c] :
                    ( ~ ( member1321351885real_c @ SY2625 @ SV437 )
                    | ( member1321351885real_c @ SY2625 @ SV871 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[3927]) ).

thf(4287,plain,
    ! [SV439: set_c,SV688: c > set_Sum_sum_c_d,SV873: c,SV134: c > sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ ( SV134 @ SV873 ) @ ( SV688 @ SV873 ) )
        = $true )
      | ( ( ~ ( member_c @ SV873 @ SV439 ) )
        = $true )
      | ( ( member_c_Sum_sum_c_d @ SV134 @ ( pi_c_Sum_sum_c_d @ SV439 @ SV688 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3929]) ).

thf(4288,plain,
    ! [SV442: finite1398487019real_c > $o,SV137: finite1398487019real_c > $o] :
      ( ( ( SV137 @ ( sK6_SY2016 @ SV442 @ SV137 ) )
        = $true )
      | ( ( SV442 @ ( sK6_SY2016 @ SV442 @ SV137 ) )
        = $true )
      | ( ( ( collec230941376real_c @ SV137 )
          = ( collec230941376real_c @ SV442 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3931]) ).

thf(4289,plain,
    ! [SV442: finite1398487019real_c > $o,SV137: finite1398487019real_c > $o] :
      ( ( ( ~ ( SV137 @ ( sK6_SY2016 @ SV442 @ SV137 ) ) )
        = $true )
      | ( ( ~ ( SV442 @ ( sK6_SY2016 @ SV442 @ SV137 ) ) )
        = $true )
      | ( ( ( collec230941376real_c @ SV137 )
          = ( collec230941376real_c @ SV442 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3932]) ).

thf(4290,plain,
    ! [SV691: set_c,SV445: c > c,SV140: c] :
      ( ( ( SV140
          = ( SV445 @ ( sK63_SY2429 @ SV691 @ SV445 @ SV140 ) ) )
        = $true )
      | ( ( member_c @ SV140 @ ( image_c_c @ SV445 @ SV691 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3934]) ).

thf(4291,plain,
    ! [SV140: c,SV445: c > c,SV691: set_c] :
      ( ( ( member_c @ ( sK63_SY2429 @ SV691 @ SV445 @ SV140 ) @ SV691 )
        = $true )
      | ( ( member_c @ SV140 @ ( image_c_c @ SV445 @ SV691 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3935]) ).

thf(4292,plain,
    ! [SV446: finite1398487019real_c > $o,SV141: finite1398487019real_c > $o] :
      ( ( ( ord_le1327118209real_c @ ( collec230941376real_c @ SV141 ) @ ( collec230941376real_c @ SV446 ) )
        = $true )
      | ( ( ord_le1327118209real_c @ ( collec230941376real_c @ SV141 ) @ ( collec230941376real_c @ SV446 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3936]) ).

thf(4293,plain,
    ! [SV446: finite1398487019real_c > $o,SV141: finite1398487019real_c > $o] :
      ( ( ( ! [SY2024: finite1398487019real_c] :
              ( ~ ( SV141 @ SY2024 )
              | ( SV446 @ SY2024 ) ) )
        = $true )
      | ( ( ord_le1327118209real_c @ ( collec230941376real_c @ SV141 ) @ ( collec230941376real_c @ SV446 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3937]) ).

thf(4294,plain,
    ! [SV446: finite1398487019real_c > $o,SV141: finite1398487019real_c > $o] :
      ( ( ( SV141 @ ( sK64_SY2024 @ SV446 @ SV141 ) )
        = $true )
      | ( ( ~ ( ~ ( ord_le1327118209real_c @ ( collec230941376real_c @ SV141 ) @ ( collec230941376real_c @ SV446 ) )
              | ~ ! [SY2024: finite1398487019real_c] :
                    ( ~ ( SV141 @ SY2024 )
                    | ( SV446 @ SY2024 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3938]) ).

thf(4295,plain,
    ! [SV446: finite1398487019real_c > $o,SV141: finite1398487019real_c > $o] :
      ( ( ( ~ ( ord_le1327118209real_c @ ( collec230941376real_c @ SV141 ) @ ( collec230941376real_c @ SV446 ) )
          | ~ ! [SY2024: finite1398487019real_c] :
                ( ~ ( SV141 @ SY2024 )
                | ( SV446 @ SY2024 ) ) )
        = $false )
      | ( ( SV446 @ ( sK64_SY2024 @ SV446 @ SV141 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3939]) ).

thf(4296,plain,
    ! [SV692: set_c,SV447: c > sum_sum_c_d,SV142: sum_sum_c_d] :
      ( ( ( SV142
          = ( SV447 @ ( sK65_SY2430 @ SV692 @ SV447 @ SV142 ) ) )
        = $true )
      | ( ( member_Sum_sum_c_d @ SV142 @ ( image_c_Sum_sum_c_d @ SV447 @ SV692 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3940]) ).

thf(4297,plain,
    ! [SV142: sum_sum_c_d,SV447: c > sum_sum_c_d,SV692: set_c] :
      ( ( ( member_c @ ( sK65_SY2430 @ SV692 @ SV447 @ SV142 ) @ SV692 )
        = $true )
      | ( ( member_Sum_sum_c_d @ SV142 @ ( image_c_Sum_sum_c_d @ SV447 @ SV692 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3941]) ).

thf(4298,plain,
    ! [SV143: set_real,SV448: real > finite1398487019real_c,SV693: real > finite1398487019real_c,SV875: real > set_Fi1407883041real_c] :
      ( ( ( member_real @ ( sK66_SY2432 @ SV875 @ SV693 @ SV448 @ SV143 ) @ SV143 )
        = $true )
      | ( ( ( member1321351885real_c @ SV448 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) )
          = ( member1321351885real_c @ SV693 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3942]) ).

thf(4299,plain,
    ! [SV693: real > finite1398487019real_c,SV875: real > set_Fi1407883041real_c,SV143: set_real,SV448: real > finite1398487019real_c] :
      ( ( ( ~ ( ( member1321351885real_c @ SV448 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) )
              | ( member1321351885real_c @ SV693 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) ) )
          | ~ ( ~ ( member1321351885real_c @ SV448 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) )
              | ~ ( member1321351885real_c @ SV693 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) ) ) )
        = $true )
      | ( ( ( SV448 @ ( sK66_SY2432 @ SV875 @ SV693 @ SV448 @ SV143 ) )
          = ( SV693 @ ( sK66_SY2432 @ SV875 @ SV693 @ SV448 @ SV143 ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[3943]) ).

thf(4300,plain,
    ! [SV693: real > finite1398487019real_c,SV875: real > set_Fi1407883041real_c,SV143: set_real,SV448: real > finite1398487019real_c] :
      ( ( ( ( member1321351885real_c @ SV448 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) )
          = ( member1321351885real_c @ SV693 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) ) )
        = $true )
      | ( ( ( SV448 @ ( sK66_SY2432 @ SV875 @ SV693 @ SV448 @ SV143 ) )
          = ( SV693 @ ( sK66_SY2432 @ SV875 @ SV693 @ SV448 @ SV143 ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[3943]) ).

thf(4301,plain,
    ! [SV450: set_Sum_sum_c_c,SV695: sum_sum_c_c > set_Sum_sum_c_d,SV876: sum_sum_c_c,SV145: sum_sum_c_c > sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ ( SV145 @ SV876 ) @ ( SV695 @ SV876 ) )
        = $true )
      | ( ( ~ ( member_Sum_sum_c_c @ SV876 @ SV450 ) )
        = $true )
      | ( ( member318754689um_c_d @ SV145 @ ( pi_Sum261268376um_c_d @ SV450 @ SV695 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3945]) ).

thf(4302,plain,
    ! [SV451: set_real,SV696: real > set_Fi1407883041real_c,SV877: real,SV146: real > finite1398487019real_c] :
      ( ( ( member1261661570real_c @ ( SV146 @ SV877 ) @ ( SV696 @ SV877 ) )
        = $true )
      | ( ( ~ ( member_real @ SV877 @ SV451 ) )
        = $true )
      | ( ( member1321351885real_c @ SV146 @ ( pi_rea1111636068real_c @ SV451 @ SV696 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3946]) ).

thf(4303,plain,
    ! [SV699: set_Sum_sum_c_d,SV454: set_c,SV150: c > sum_sum_c_d] :
      ( ( ( ~ ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV150 @ SV454 ) @ SV699 ) )
        = $false )
      | ( ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV150 @ SV454 ) @ SV699 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3949]) ).

thf(4304,plain,
    ! [SV699: set_Sum_sum_c_d,SV150: c > sum_sum_c_d,SV454: set_c] :
      ( ( ( ~ ! [SY2440: c] :
                ( ~ ( member_c @ SY2440 @ SV454 )
                | ( member_Sum_sum_c_d @ ( SV150 @ SY2440 ) @ SV699 ) ) )
        = $false )
      | ( ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV150 @ SV454 ) @ SV699 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3949]) ).

thf(4305,plain,
    ! [SV454: set_c,SV150: c > sum_sum_c_d,SV699: set_Sum_sum_c_d] :
      ( ( ( ~ ( member_c @ ( sK78_SY2440 @ SV699 @ SV150 @ SV454 ) @ SV454 ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV150 @ SV454 ) @ SV699 )
              | ~ ! [SY2440: c] :
                    ( ~ ( member_c @ SY2440 @ SV454 )
                    | ( member_Sum_sum_c_d @ ( SV150 @ SY2440 ) @ SV699 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3950]) ).

thf(4306,plain,
    ! [SV454: set_c,SV699: set_Sum_sum_c_d,SV150: c > sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ ( SV150 @ ( sK78_SY2440 @ SV699 @ SV150 @ SV454 ) ) @ SV699 )
        = $false )
      | ( ( ~ ( ~ ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV150 @ SV454 ) @ SV699 )
              | ~ ! [SY2440: c] :
                    ( ~ ( member_c @ SY2440 @ SV454 )
                    | ( member_Sum_sum_c_d @ ( SV150 @ SY2440 ) @ SV699 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3950]) ).

thf(4307,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
          | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) ) )
        = $false )
      | ( ( ~ ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
               != ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
              | ~ ~ ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
                        | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
                    | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
                        | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[3952]) ).

thf(4308,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          = ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false )
      | ( ( ~ ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
               != ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
              | ~ ~ ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
                        | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
                    | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
                        | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[3952]) ).

thf(4309,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
          | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
              | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) )
        = $true )
      | ( ( ~ ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
               != ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
              | ~ ~ ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
                        | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
                    | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
                        | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3953]) ).

thf(4310,plain,
    ! [SV459: set_Sum_sum_c_d,SV702: sum_sum_c_d > set_Sum_sum_c_c,SV882: sum_sum_c_d,SV155: sum_sum_c_d > sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ ( SV155 @ SV882 ) @ ( SV702 @ SV882 ) )
        = $true )
      | ( ( ~ ( member_Sum_sum_c_d @ SV882 @ SV459 ) )
        = $true )
      | ( ( member71251457um_c_c @ SV155 @ ( pi_Sum1145067928um_c_c @ SV459 @ SV702 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3954]) ).

thf(4311,plain,
    ! [SV706: set_Sum_sum_c_c,SV465: set_c,SV161: c > sum_sum_c_c] :
      ( ( ( ~ ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV161 @ SV465 ) @ SV706 ) )
        = $false )
      | ( ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV161 @ SV465 ) @ SV706 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3958]) ).

thf(4312,plain,
    ! [SV706: set_Sum_sum_c_c,SV161: c > sum_sum_c_c,SV465: set_c] :
      ( ( ( ~ ! [SY2448: c] :
                ( ~ ( member_c @ SY2448 @ SV465 )
                | ( member_Sum_sum_c_c @ ( SV161 @ SY2448 ) @ SV706 ) ) )
        = $false )
      | ( ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV161 @ SV465 ) @ SV706 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3958]) ).

thf(4313,plain,
    ! [SV465: set_c,SV161: c > sum_sum_c_c,SV706: set_Sum_sum_c_c] :
      ( ( ( ~ ( member_c @ ( sK79_SY2448 @ SV706 @ SV161 @ SV465 ) @ SV465 ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV161 @ SV465 ) @ SV706 )
              | ~ ! [SY2448: c] :
                    ( ~ ( member_c @ SY2448 @ SV465 )
                    | ( member_Sum_sum_c_c @ ( SV161 @ SY2448 ) @ SV706 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3959]) ).

thf(4314,plain,
    ! [SV465: set_c,SV706: set_Sum_sum_c_c,SV161: c > sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ ( SV161 @ ( sK79_SY2448 @ SV706 @ SV161 @ SV465 ) ) @ SV706 )
        = $false )
      | ( ( ~ ( ~ ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV161 @ SV465 ) @ SV706 )
              | ~ ! [SY2448: c] :
                    ( ~ ( member_c @ SY2448 @ SV465 )
                    | ( member_Sum_sum_c_c @ ( SV161 @ SY2448 ) @ SV706 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3959]) ).

thf(4315,plain,
    ! [SV883: real,SV708: real,SV467: real,SV163: real] :
      ( ( ( ( ( set_or656347191t_real @ SV163 @ SV467 )
           != ( set_or656347191t_real @ SV708 @ SV883 ) )
          | ~ ( ~ ( ( SV163 != SV708 )
                  | ( SV467 != SV883 ) )
              | ~ ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 )
                  | ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) ) ) )
        = $false )
      | ( ( ( set_or656347191t_real @ SV163 @ SV467 )
          = ( set_or656347191t_real @ SV708 @ SV883 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3960]) ).

thf(4316,plain,
    ! [SV883: real,SV467: real,SV708: real,SV163: real] :
      ( ( ( ~ ( ( SV163 != SV708 )
              | ( SV467 != SV883 ) ) )
        = $false )
      | ( ( ~ ( ( ( set_or656347191t_real @ SV163 @ SV467 )
               != ( set_or656347191t_real @ SV708 @ SV883 ) )
              | ~ ( ~ ( ( SV163 != SV708 )
                      | ( SV467 != SV883 ) )
                  | ~ ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 )
                      | ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3961]) ).

thf(4317,plain,
    ! [SV883: real,SV708: real,SV467: real,SV163: real] :
      ( ( ( ~ ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 )
              | ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) ) )
        = $false )
      | ( ( ~ ( ( ( set_or656347191t_real @ SV163 @ SV467 )
               != ( set_or656347191t_real @ SV708 @ SV883 ) )
              | ~ ( ~ ( ( SV163 != SV708 )
                      | ( SV467 != SV883 ) )
                  | ~ ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 )
                      | ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3961]) ).

thf(4318,plain,
    ! [SV962: set_Sum_sum_c_c,SV886: produc190496183real_c,SV481: produc190496183real_c] :
      ( ( ( ( denota1997846518gree_c @ SV481 @ SV886 @ SV962 )
          | ~ ( ~ ! [SY2673: c] :
                    ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2673 ) @ SV962 )
                    | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2673 )
                      = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2673 ) ) )
              | ~ ! [SY2674: c] :
                    ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
                    | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                      = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( denota1997846518gree_c @ SV481 @ SV886 @ SV962 )
              | ~ ~ ( ~ ! [SY2673: c] :
                          ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2673 ) @ SV962 )
                          | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2673 )
                            = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2673 ) ) )
                    | ~ ! [SY2674: c] :
                          ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
                          | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                            = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3966]) ).

thf(4319,plain,
    ( ( ( ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) ) )
      = $true )
    | ( ( ( finite772340578real_c
          @ ( produc2010422875real_c
            @ ( denota161327353_a_b_c @ i @ oDEa
              @ ( produc394644079real_c
                @ ( finite557796307c_real
                  @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                @ bb )
              @ ( finite557796307c_real
                @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
          @ i2 )
        = ( finite772340578real_c @ ( sol @ x ) @ i2 ) )
      = $true )
    | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3967]) ).

thf(4320,plain,
    ( ( ( ~ ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) ) )
      = $true )
    | ( ( ( finite772340578real_c
          @ ( produc2010422875real_c
            @ ( denota161327353_a_b_c @ i @ oDEa
              @ ( produc394644079real_c
                @ ( finite557796307c_real
                  @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                @ bb )
              @ ( finite557796307c_real
                @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
          @ i2 )
        = ( finite772340578real_c @ ab @ i2 ) )
      = $true )
    | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3968]) ).

thf(4321,plain,
    ( ( ( ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) ) )
      = $true )
    | ( ( ( finite772340578real_c
          @ ( produc2010422875real_c
            @ ( denota161327353_a_b_c @ i @ oDEa
              @ ( produc394644079real_c
                @ ( finite557796307c_real
                  @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                @ bb )
              @ ( finite557796307c_real
                @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
          @ i2 )
        = ( finite772340578real_c @ ( sol @ x ) @ i2 ) )
      = $true )
    | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3969]) ).

thf(4322,plain,
    ( ( ( ~ ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) ) )
      = $true )
    | ( ( ( finite772340578real_c
          @ ( produc2010422875real_c
            @ ( denota161327353_a_b_c @ i @ oDEa
              @ ( produc394644079real_c
                @ ( finite557796307c_real
                  @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                @ bb )
              @ ( finite557796307c_real
                @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
          @ i2 )
        = ( finite772340578real_c @ ab @ i2 ) )
      = $true )
    | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[3970]) ).

thf(4323,plain,
    ! [SV721: set_c,SV181: set_Sum_sum_c_c,SV484: c > sum_sum_c_c] :
      ( ( ( ord_less_eq_set_c @ ( sK67_SY2465 @ SV484 @ SV181 @ SV721 ) @ SV721 )
        = $true )
      | ( ( ord_le1772180283um_c_c @ SV181 @ ( image_c_Sum_sum_c_c @ SV484 @ SV721 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3972]) ).

thf(4324,plain,
    ! [SV721: set_c,SV484: c > sum_sum_c_c,SV181: set_Sum_sum_c_c] :
      ( ( ( SV181
          = ( image_c_Sum_sum_c_c @ SV484 @ ( sK67_SY2465 @ SV484 @ SV181 @ SV721 ) ) )
        = $true )
      | ( ( ord_le1772180283um_c_c @ SV181 @ ( image_c_Sum_sum_c_c @ SV484 @ SV721 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3973]) ).

thf(4325,plain,
    ! [SV887: finite1398487019real_c,SV724: finite1398487019real_c,SV487: finite1398487019real_c,SV184: finite1398487019real_c] :
      ( ( ( ( ( produc394644079real_c @ SV184 @ SV487 )
           != ( produc394644079real_c @ SV724 @ SV887 ) )
          | ~ ~ ( ( SV184 != SV724 )
                | ( SV487 != SV887 ) ) )
        = $false )
      | ( ( ( produc394644079real_c @ SV184 @ SV487 )
          = ( produc394644079real_c @ SV724 @ SV887 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3975]) ).

thf(4326,plain,
    ! [SV887: finite1398487019real_c,SV487: finite1398487019real_c,SV724: finite1398487019real_c,SV184: finite1398487019real_c] :
      ( ( ( ( SV184 != SV724 )
          | ( SV487 != SV887 ) )
        = $true )
      | ( ( ~ ( ( ( produc394644079real_c @ SV184 @ SV487 )
               != ( produc394644079real_c @ SV724 @ SV887 ) )
              | ~ ~ ( ( SV184 != SV724 )
                    | ( SV487 != SV887 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3976]) ).

thf(4327,plain,
    ! [SV889: set_Sum_sum_c_c,SV494: set_Sum_sum_c_c] :
      ( ( ( ~ ( ord_le1772180283um_c_c @ SV494 @ SV889 )
          | ~ ! [SY2635: sum_sum_c_c] :
                ( ~ ( member_Sum_sum_c_c @ SY2635 @ SV494 )
                | ( member_Sum_sum_c_c @ SY2635 @ SV889 ) ) )
        = $false )
      | ( ( ord_le1772180283um_c_c @ SV494 @ SV889 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3978]) ).

thf(4328,plain,
    ! [SV494: set_Sum_sum_c_c,SV889: set_Sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sK86_SY2635 @ SV889 @ SV494 ) @ SV494 )
          | ( member_Sum_sum_c_c @ ( sK86_SY2635 @ SV889 @ SV494 ) @ SV889 ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV494 @ SV889 )
              | ~ ! [SY2635: sum_sum_c_c] :
                    ( ~ ( member_Sum_sum_c_c @ SY2635 @ SV494 )
                    | ( member_Sum_sum_c_c @ SY2635 @ SV889 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[3979]) ).

thf(4329,plain,
    ! [SV733: set_Sum_sum_c_d,SV499: sum_sum_c_d > sum_sum_c_c,SV196: sum_sum_c_c] :
      ( ( ( SV196
          = ( SV499 @ ( sK68_SY2475 @ SV733 @ SV499 @ SV196 ) ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ SV196 @ ( image_1558941394um_c_c @ SV499 @ SV733 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3983]) ).

thf(4330,plain,
    ! [SV196: sum_sum_c_c,SV499: sum_sum_c_d > sum_sum_c_c,SV733: set_Sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ ( sK68_SY2475 @ SV733 @ SV499 @ SV196 ) @ SV733 )
        = $true )
      | ( ( member_Sum_sum_c_c @ SV196 @ ( image_1558941394um_c_c @ SV499 @ SV733 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3984]) ).

thf(4331,plain,
    ! [SV892: set_Sum_sum_c_c,SV501: set_Sum_sum_c_c] :
      ( ( ( ~ ( ord_le1772180283um_c_c @ SV501 @ SV892 )
          | ~ ! [SY2636: sum_sum_c_c] :
                ( ~ ( member_Sum_sum_c_c @ SY2636 @ SV501 )
                | ( member_Sum_sum_c_c @ SY2636 @ SV892 ) ) )
        = $false )
      | ( ( ord_le1772180283um_c_c @ SV501 @ SV892 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3986]) ).

thf(4332,plain,
    ! [SV501: set_Sum_sum_c_c,SV892: set_Sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sK87_SY2636 @ SV892 @ SV501 ) @ SV501 )
          | ( member_Sum_sum_c_c @ ( sK87_SY2636 @ SV892 @ SV501 ) @ SV892 ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV501 @ SV892 )
              | ~ ! [SY2636: sum_sum_c_c] :
                    ( ~ ( member_Sum_sum_c_c @ SY2636 @ SV501 )
                    | ( member_Sum_sum_c_c @ SY2636 @ SV892 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[3987]) ).

thf(4333,plain,
    ! [SV503: set_Sum_sum_c_d,SV736: sum_sum_c_d > set_c,SV893: sum_sum_c_d,SV200: sum_sum_c_d > c] :
      ( ( ( member_c @ ( SV200 @ SV893 ) @ ( SV736 @ SV893 ) )
        = $true )
      | ( ( ~ ( member_Sum_sum_c_d @ SV893 @ SV503 ) )
        = $true )
      | ( ( member_Sum_sum_c_d_c @ SV200 @ ( pi_Sum_sum_c_d_c @ SV503 @ SV736 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3988]) ).

thf(4334,plain,
    ! [SV899: set_c,SV514: set_c] :
      ( ( ( ~ ( ord_less_eq_set_c @ SV514 @ SV899 )
          | ~ ! [SY2637: c] :
                ( ~ ( member_c @ SY2637 @ SV514 )
                | ( member_c @ SY2637 @ SV899 ) ) )
        = $false )
      | ( ( ord_less_eq_set_c @ SV514 @ SV899 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3995]) ).

thf(4335,plain,
    ! [SV514: set_c,SV899: set_c] :
      ( ( ( ~ ( member_c @ ( sK88_SY2637 @ SV899 @ SV514 ) @ SV514 )
          | ( member_c @ ( sK88_SY2637 @ SV899 @ SV514 ) @ SV899 ) )
        = $false )
      | ( ( ~ ( ~ ( ord_less_eq_set_c @ SV514 @ SV899 )
              | ~ ! [SY2637: c] :
                    ( ~ ( member_c @ SY2637 @ SV514 )
                    | ( member_c @ SY2637 @ SV899 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[3996]) ).

thf(4336,plain,
    ! [SV745: real > finite1398487019real_c,SV515: real > finite1398487019real_c,SV212: real > finite1398487019real_c] :
      ( ( ( ~ ( member1321351885real_c @ SV212 @ ( set_or1308937537real_c @ SV515 @ SV745 ) ) )
        = $false )
      | ( ( member1321351885real_c @ SV212 @ ( set_or1308937537real_c @ SV515 @ SV745 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3997]) ).

thf(4337,plain,
    ! [SV745: real > finite1398487019real_c,SV212: real > finite1398487019real_c,SV515: real > finite1398487019real_c] :
      ( ( ( ~ ~ ( ~ ( ord_le584953750real_c @ SV515 @ SV212 )
                | ~ ( ord_le584953750real_c @ SV212 @ SV745 ) ) )
        = $false )
      | ( ( member1321351885real_c @ SV212 @ ( set_or1308937537real_c @ SV515 @ SV745 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3997]) ).

thf(4338,plain,
    ! [SV745: real > finite1398487019real_c,SV212: real > finite1398487019real_c,SV515: real > finite1398487019real_c] :
      ( ( ( ~ ( ord_le584953750real_c @ SV515 @ SV212 ) )
        = $true )
      | ( ( ~ ( ord_le584953750real_c @ SV212 @ SV745 ) )
        = $true )
      | ( ( ~ ( ~ ( member1321351885real_c @ SV212 @ ( set_or1308937537real_c @ SV515 @ SV745 ) )
              | ~ ~ ( ~ ( ord_le584953750real_c @ SV515 @ SV212 )
                    | ~ ( ord_le584953750real_c @ SV212 @ SV745 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[3998]) ).

thf(4339,plain,
    ! [SV213: c > sum_sum_c_d,SV746: sum_sum_c_d > $o,SV516: set_c,SV976: c] :
      ( ( ( ~ ( member_c @ SV976 @ SV516 )
          | ( SV746 @ ( SV213 @ SV976 ) ) )
        = $true )
      | ( ( member_Sum_sum_c_d @ ( sK38_SY2489 @ SV746 @ SV516 @ SV213 ) @ ( image_c_Sum_sum_c_d @ SV213 @ SV516 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3999]) ).

thf(4340,plain,
    ! [SV213: c > sum_sum_c_d,SV746: sum_sum_c_d > $o,SV516: set_c,SV972: c] :
      ( ( ( ~ ( member_c @ SV972 @ SV516 ) )
        = $true )
      | ( ( SV746 @ ( SV213 @ SV972 ) )
        = $true )
      | ( ( SV746 @ ( sK38_SY2489 @ SV746 @ SV516 @ SV213 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4000]) ).

thf(4341,plain,
    ! [SV747: set_c,SV517: c > sum_sum_c_c,SV214: sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ SV214 @ ( image_c_Sum_sum_c_c @ SV517 @ SV747 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ SV214 @ ( image_c_Sum_sum_c_c @ SV517 @ SV747 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4001]) ).

thf(4342,plain,
    ! [SV517: c > sum_sum_c_c,SV214: sum_sum_c_c,SV747: set_c] :
      ( ( ( ~ ~ ! [SY2491: c] :
                  ~ ~ ( ~ ( member_c @ SY2491 @ SV747 )
                      | ( SV214
                       != ( SV517 @ SY2491 ) ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ SV214 @ ( image_c_Sum_sum_c_c @ SV517 @ SV747 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4001]) ).

thf(4343,plain,
    ! [SV517: c > sum_sum_c_c,SV214: sum_sum_c_c,SV747: set_c,SV977: c] :
      ( ( ( ~ ~ ( ~ ( member_c @ SV977 @ SV747 )
                | ( SV214
                 != ( SV517 @ SV977 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( member_Sum_sum_c_c @ SV214 @ ( image_c_Sum_sum_c_c @ SV517 @ SV747 ) )
              | ~ ~ ! [SY2491: c] :
                      ~ ~ ( ~ ( member_c @ SY2491 @ SV747 )
                          | ( SV214
                           != ( SV517 @ SY2491 ) ) ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[4002]) ).

thf(4344,plain,
    ( ( ( ~ ( ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
            | ( ( finite772340578real_c
                @ ( produc2010422875real_c
                  @ ( denota161327353_a_b_c @ i @ oDEa
                    @ ( produc394644079real_c
                      @ ( finite557796307c_real
                        @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                      @ bb )
                    @ ( finite557796307c_real
                      @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
                @ i2 )
              = ( finite772340578real_c @ ( sol @ zero_zero_real ) @ i2 ) ) )
        | ~ ( ~ ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
            | ( ( finite772340578real_c
                @ ( produc2010422875real_c
                  @ ( denota161327353_a_b_c @ i @ oDEa
                    @ ( produc394644079real_c
                      @ ( finite557796307c_real
                        @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                      @ bb )
                    @ ( finite557796307c_real
                      @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
                @ i2 )
              = ( finite772340578real_c @ ab @ i2 ) ) ) )
      = $false )
    | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $true )
    | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4004]) ).

thf(4345,plain,
    ! [SV524: set_c,SV754: c > sum_sum_c_c,SV903: c > sum_sum_c_c,SV221: set_c] :
      ( ( ( ~ ( member_c @ ( sK89_SY2638 @ SV221 @ SV903 @ SV754 @ SV524 ) @ SV524 )
          | ( ( SV754 @ ( sK89_SY2638 @ SV221 @ SV903 @ SV754 @ SV524 ) )
            = ( SV903 @ ( sK89_SY2638 @ SV221 @ SV903 @ SV754 @ SV524 ) ) ) )
        = $false )
      | ( ( ( image_c_Sum_sum_c_c @ SV754 @ SV221 )
          = ( image_c_Sum_sum_c_c @ SV903 @ SV524 ) )
        = $true )
      | ( ( SV221 = SV524 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[4009]) ).

thf(4346,plain,
    ! [SV756: set_c,SV526: c > sum_sum_c_c,SV223: sum_sum_c_c] :
      ( ( ( SV223
          = ( SV526 @ ( sK69_SY2500 @ SV756 @ SV526 @ SV223 ) ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ SV223 @ ( image_c_Sum_sum_c_c @ SV526 @ SV756 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4011]) ).

thf(4347,plain,
    ! [SV223: sum_sum_c_c,SV526: c > sum_sum_c_c,SV756: set_c] :
      ( ( ( member_c @ ( sK69_SY2500 @ SV756 @ SV526 @ SV223 ) @ SV756 )
        = $true )
      | ( ( member_Sum_sum_c_c @ SV223 @ ( image_c_Sum_sum_c_c @ SV526 @ SV756 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4012]) ).

thf(4348,plain,
    ! [SV906: real,SV760: real,SV530: real,SV227: real] :
      ( ( ( ~ ( ord_le1342644953l_real @ ( produc705216881l_real @ SV227 @ SV530 ) @ ( produc705216881l_real @ SV760 @ SV906 ) )
          | ~ ~ ( ~ ( ord_less_eq_real @ SV227 @ SV760 )
                | ~ ( ord_less_eq_real @ SV530 @ SV906 ) ) )
        = $false )
      | ( ( ord_le1342644953l_real @ ( produc705216881l_real @ SV227 @ SV530 ) @ ( produc705216881l_real @ SV760 @ SV906 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4014]) ).

thf(4349,plain,
    ! [SV906: real,SV530: real,SV760: real,SV227: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV227 @ SV760 )
          | ~ ( ord_less_eq_real @ SV530 @ SV906 ) )
        = $true )
      | ( ( ~ ( ~ ( ord_le1342644953l_real @ ( produc705216881l_real @ SV227 @ SV530 ) @ ( produc705216881l_real @ SV760 @ SV906 ) )
              | ~ ~ ( ~ ( ord_less_eq_real @ SV227 @ SV760 )
                    | ~ ( ord_less_eq_real @ SV530 @ SV906 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4015]) ).

thf(4350,plain,
    ! [SV762: set_c,SV230: set_Sum_sum_c_d,SV533: c > sum_sum_c_d] :
      ( ( ( ord_less_eq_set_c @ ( sK70_SY2504 @ SV533 @ SV230 @ SV762 ) @ SV762 )
        = $true )
      | ( ( ord_le764260924um_c_d @ SV230 @ ( image_c_Sum_sum_c_d @ SV533 @ SV762 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4017]) ).

thf(4351,plain,
    ! [SV762: set_c,SV533: c > sum_sum_c_d,SV230: set_Sum_sum_c_d] :
      ( ( ( SV230
          = ( image_c_Sum_sum_c_d @ SV533 @ ( sK70_SY2504 @ SV533 @ SV230 @ SV762 ) ) )
        = $true )
      | ( ( ord_le764260924um_c_d @ SV230 @ ( image_c_Sum_sum_c_d @ SV533 @ SV762 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4018]) ).

thf(4352,plain,
    ! [SV908: set_Sum_sum_c_d,SV534: set_Sum_sum_c_d] :
      ( ( ( ~ ( ord_le764260924um_c_d @ SV534 @ SV908 )
          | ~ ! [SY2639: sum_sum_c_d] :
                ( ~ ( member_Sum_sum_c_d @ SY2639 @ SV534 )
                | ( member_Sum_sum_c_d @ SY2639 @ SV908 ) ) )
        = $false )
      | ( ( ord_le764260924um_c_d @ SV534 @ SV908 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4019]) ).

thf(4353,plain,
    ! [SV534: set_Sum_sum_c_d,SV908: set_Sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_d @ ( sK90_SY2639 @ SV908 @ SV534 ) @ SV534 )
          | ( member_Sum_sum_c_d @ ( sK90_SY2639 @ SV908 @ SV534 ) @ SV908 ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le764260924um_c_d @ SV534 @ SV908 )
              | ~ ! [SY2639: sum_sum_c_d] :
                    ( ~ ( member_Sum_sum_c_d @ SY2639 @ SV534 )
                    | ( member_Sum_sum_c_d @ SY2639 @ SV908 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[4020]) ).

thf(4354,plain,
    ! [SV909: set_c,SV536: set_c] :
      ( ( ( ~ ( ord_less_eq_set_c @ SV536 @ SV909 )
          | ~ ! [SY2640: c] :
                ( ~ ( member_c @ SY2640 @ SV536 )
                | ( member_c @ SY2640 @ SV909 ) ) )
        = $false )
      | ( ( ord_less_eq_set_c @ SV536 @ SV909 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4021]) ).

thf(4355,plain,
    ! [SV536: set_c,SV909: set_c] :
      ( ( ( ~ ( member_c @ ( sK91_SY2640 @ SV909 @ SV536 ) @ SV536 )
          | ( member_c @ ( sK91_SY2640 @ SV909 @ SV536 ) @ SV909 ) )
        = $false )
      | ( ( ~ ( ~ ( ord_less_eq_set_c @ SV536 @ SV909 )
              | ~ ! [SY2640: c] :
                    ( ~ ( member_c @ SY2640 @ SV536 )
                    | ( member_c @ SY2640 @ SV909 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[4022]) ).

thf(4356,plain,
    ! [SV766: set_re2066790124real_c,SV537: ( real > finite1398487019real_c ) > c,SV234: c] :
      ( ( ( SV234
          = ( SV537 @ ( sK71_SY2509 @ SV766 @ SV537 @ SV234 ) ) )
        = $true )
      | ( ( member_c @ SV234 @ ( image_266490115al_c_c @ SV537 @ SV766 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4023]) ).

thf(4357,plain,
    ! [SV234: c,SV537: ( real > finite1398487019real_c ) > c,SV766: set_re2066790124real_c] :
      ( ( ( member1321351885real_c @ ( sK71_SY2509 @ SV766 @ SV537 @ SV234 ) @ SV766 )
        = $true )
      | ( ( member_c @ SV234 @ ( image_266490115al_c_c @ SV537 @ SV766 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4024]) ).

thf(4358,plain,
    ! [SV767: sum_sum_c_c > $o,SV538: set_c,SV235: c > sum_sum_c_c,SV966: sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ SV966 @ ( image_c_Sum_sum_c_c @ SV235 @ SV538 ) )
          | ~ ( SV767 @ SV966 ) )
        = $true )
      | ( ( ~ ! [SY2511: c] :
                ~ ~ ( ~ ( member_c @ SY2511 @ SV538 )
                    | ~ ( SV767 @ ( SV235 @ SY2511 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4025]) ).

thf(4359,plain,
    ! [SV542: c > real > finite1398487019real_c,SV239: real > finite1398487019real_c,SV911: set_c,SV770: c] :
      ( ( ( ~ ( member_c @ SV770 @ SV911 ) )
        = $true )
      | ( ( member1321351885real_c @ SV239 @ ( image_1226855921real_c @ SV542 @ SV911 ) )
        = $true )
      | ( ( ( SV239 @ ( sK80_SV967 @ SV911 @ SV770 @ SV542 @ SV239 ) )
          = ( SV542 @ SV770 @ ( sK80_SV967 @ SV911 @ SV770 @ SV542 @ SV239 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4028]) ).

thf(4360,plain,
    ! [SV542: c > real > finite1398487019real_c,SV239: real > finite1398487019real_c,SV911: set_c,SV770: c] :
      ( ( ( member_c @ SV770 @ SV911 )
        = $false )
      | ( ( member1321351885real_c @ SV239 @ ( image_1226855921real_c @ SV542 @ SV911 ) )
        = $true )
      | ( ( SV239
          = ( SV542 @ SV770 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4029]) ).

thf(4361,plain,
    ! [SV914: produc190496183real_c,SV548: produc190496183real_c] :
      ( ( ( ~ ( ord_le850691415real_c @ SV548 @ SV914 )
          | ~ ~ ( ~ ( ord_le775706699real_c @ ( produc2010422875real_c @ SV548 ) @ ( produc2010422875real_c @ SV914 ) )
                | ~ ( ord_le775706699real_c @ ( produc314122909real_c @ SV548 ) @ ( produc314122909real_c @ SV914 ) ) ) )
        = $false )
      | ( ( ord_le850691415real_c @ SV548 @ SV914 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4034]) ).

thf(4362,plain,
    ! [SV914: produc190496183real_c,SV548: produc190496183real_c] :
      ( ( ( ~ ( ord_le775706699real_c @ ( produc2010422875real_c @ SV548 ) @ ( produc2010422875real_c @ SV914 ) )
          | ~ ( ord_le775706699real_c @ ( produc314122909real_c @ SV548 ) @ ( produc314122909real_c @ SV914 ) ) )
        = $true )
      | ( ( ~ ( ~ ( ord_le850691415real_c @ SV548 @ SV914 )
              | ~ ~ ( ~ ( ord_le775706699real_c @ ( produc2010422875real_c @ SV548 ) @ ( produc2010422875real_c @ SV914 ) )
                    | ~ ( ord_le775706699real_c @ ( produc314122909real_c @ SV548 ) @ ( produc314122909real_c @ SV914 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4035]) ).

thf(4363,plain,
    ! [SV553: c > $o,SV250: c > $o] :
      ( ( ( ord_less_eq_set_c @ ( collect_c @ SV250 ) @ ( collect_c @ SV553 ) )
        = $true )
      | ( ( ord_less_eq_set_c @ ( collect_c @ SV250 ) @ ( collect_c @ SV553 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4039]) ).

thf(4364,plain,
    ! [SV553: c > $o,SV250: c > $o] :
      ( ( ( ! [SY2211: c] :
              ( ~ ( SV250 @ SY2211 )
              | ( SV553 @ SY2211 ) ) )
        = $true )
      | ( ( ord_less_eq_set_c @ ( collect_c @ SV250 ) @ ( collect_c @ SV553 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4040]) ).

thf(4365,plain,
    ! [SV553: c > $o,SV250: c > $o] :
      ( ( ( SV250 @ ( sK72_SY2211 @ SV553 @ SV250 ) )
        = $true )
      | ( ( ~ ( ~ ( ord_less_eq_set_c @ ( collect_c @ SV250 ) @ ( collect_c @ SV553 ) )
              | ~ ! [SY2211: c] :
                    ( ~ ( SV250 @ SY2211 )
                    | ( SV553 @ SY2211 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4041]) ).

thf(4366,plain,
    ! [SV553: c > $o,SV250: c > $o] :
      ( ( ( ~ ( ord_less_eq_set_c @ ( collect_c @ SV250 ) @ ( collect_c @ SV553 ) )
          | ~ ! [SY2211: c] :
                ( ~ ( SV250 @ SY2211 )
                | ( SV553 @ SY2211 ) ) )
        = $false )
      | ( ( SV553 @ ( sK72_SY2211 @ SV553 @ SV250 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4042]) ).

thf(4367,plain,
    ( ( ( ~ ( ord_less_eq_real @ zero_zero_real @ t ) )
      = $true )
    | ( ( ( ( produc394644079real_c @ aa @ ba )
         != ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
        | ~ ( initia1631504802real_c @ sol
            @ ^ [SX0: real] : ( denota1275485728_a_b_c @ i @ oDEa )
            @ ( set_or656347191t_real @ zero_zero_real @ t )
            @ ( collec230941376real_c
              @ ^ [SX0: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ SX0 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) )
        | ~ ( denota256060419gree_c @ ( sol @ zero_zero_real ) @ ab
            @ ( collect_c
              @ ^ [SX0: c] :
                  ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_BVO_a_c @ oDEa ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( static_FVO_a_c @ oDEa ) ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_FVF_a_b_c @ phi ) ) ) ) )
        | ( ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) )
          = ( denota161327353_a_b_c @ i @ oDEa
            @ ( produc394644079real_c
              @ ( finite557796307c_real
                @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
              @ bb )
            @ ( finite557796307c_real
              @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ t ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) ) )
      = $true )
    | ( ( p = phi )
      = $false )
    | ( ( ode = oDEa )
      = $false )
    | ( ( fsafe_a_b_c @ phi )
      = $false )
    | ( ( osafe_a_c @ oDEa )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4043]) ).

thf(4368,plain,
    ! [SV556: c > $o,SV253: c > $o] :
      ( ( ( SV253 @ ( sK11_SY2213 @ SV556 @ SV253 ) )
        = $true )
      | ( ( SV556 @ ( sK11_SY2213 @ SV556 @ SV253 ) )
        = $true )
      | ( ( ( collect_c @ SV253 )
          = ( collect_c @ SV556 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4045]) ).

thf(4369,plain,
    ! [SV556: c > $o,SV253: c > $o] :
      ( ( ( ~ ( SV253 @ ( sK11_SY2213 @ SV556 @ SV253 ) ) )
        = $true )
      | ( ( ~ ( SV556 @ ( sK11_SY2213 @ SV556 @ SV253 ) ) )
        = $true )
      | ( ( ( collect_c @ SV253 )
          = ( collect_c @ SV556 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4046]) ).

thf(4370,plain,
    ( ( ( ~ ( ord_less_eq_real @ zero_zero_real @ t ) )
      = $true )
    | ( ( ( ( produc394644079real_c @ aa @ ba )
         != ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
        | ~ ( initia1631504802real_c @ sol
            @ ^ [SX0: real] : ( denota1275485728_a_b_c @ i @ oDEa )
            @ ( set_or656347191t_real @ zero_zero_real @ t )
            @ ( collec230941376real_c
              @ ^ [SX0: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ SX0 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) )
        | ~ ( denota256060419gree_c @ ( sol @ zero_zero_real ) @ ab
            @ ( collect_c
              @ ^ [SX0: c] :
                  ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_BVO_a_c @ oDEa ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( static_FVO_a_c @ oDEa ) ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_FVF_a_b_c @ phi ) ) ) ) )
        | ( ord_less_eq_real @ zero_zero_real @ t ) )
      = $true )
    | ( ( p = phi )
      = $false )
    | ( ( ode = oDEa )
      = $false )
    | ( ( fsafe_a_b_c @ phi )
      = $false )
    | ( ( osafe_a_c @ oDEa )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4051]) ).

thf(4371,plain,
    ! [SV920: c,SV788: finite1398487019real_c,SV565: finite1398487019real_c,SV262: $o] :
      ( ( SV262 = $false )
      | ( ( ( finite772340578real_c @ ( if_Fin36944805real_c @ SV262 @ SV565 @ SV788 ) @ SV920 )
          = ( finite772340578real_c @ SV565 @ SV920 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4054]) ).

thf(4372,plain,
    ! [SV920: c,SV788: finite1398487019real_c,SV565: finite1398487019real_c,SV262: $o] :
      ( ( ( ~ SV262 ) = $false )
      | ( ( ( finite772340578real_c @ ( if_Fin36944805real_c @ SV262 @ SV565 @ SV788 ) @ SV920 )
          = ( finite772340578real_c @ SV788 @ SV920 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4055]) ).

thf(4373,plain,
    ! [SV921: c,SV789: finite1398487019real_c,SV566: finite1398487019real_c] :
      ( ( $true = $false )
      | ( ( ( finite772340578real_c @ ( if_Fin36944805real_c @ $true @ SV566 @ SV789 ) @ SV921 )
          = ( finite772340578real_c @ SV566 @ SV921 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4056]) ).

thf(4374,plain,
    ! [SV921: c,SV789: finite1398487019real_c,SV566: finite1398487019real_c] :
      ( ( ( ~ $true ) = $false )
      | ( ( ( finite772340578real_c @ ( if_Fin36944805real_c @ $true @ SV566 @ SV789 ) @ SV921 )
          = ( finite772340578real_c @ SV789 @ SV921 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4057]) ).

thf(4375,plain,
    ! [SV922: c,SV790: finite1398487019real_c,SV567: finite1398487019real_c] :
      ( ( $false = $false )
      | ( ( ( finite772340578real_c @ ( if_Fin36944805real_c @ $false @ SV567 @ SV790 ) @ SV922 )
          = ( finite772340578real_c @ SV567 @ SV922 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4058]) ).

thf(4376,plain,
    ! [SV922: c,SV790: finite1398487019real_c,SV567: finite1398487019real_c] :
      ( ( ( ~ $false ) = $false )
      | ( ( ( finite772340578real_c @ ( if_Fin36944805real_c @ $false @ SV567 @ SV790 ) @ SV922 )
          = ( finite772340578real_c @ SV790 @ SV922 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4059]) ).

thf(4377,plain,
    ! [SV925: real,SV797: real,SV576: real,SV271: real] :
      ( ( ( ~ ( ord_less_eq_set_real @ ( set_or656347191t_real @ SV271 @ SV576 ) @ ( set_or656347191t_real @ SV797 @ SV925 ) )
          | ~ ( ~ ( ord_less_eq_real @ SV271 @ SV576 )
              | ~ ( ~ ( ord_less_eq_real @ SV797 @ SV271 )
                  | ~ ( ord_less_eq_real @ SV576 @ SV925 ) ) ) )
        = $false )
      | ( ( ord_less_eq_set_real @ ( set_or656347191t_real @ SV271 @ SV576 ) @ ( set_or656347191t_real @ SV797 @ SV925 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4064]) ).

thf(4378,plain,
    ! [SV925: real,SV797: real,SV576: real,SV271: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV271 @ SV576 ) )
        = $false )
      | ( ( ~ ( ~ ( ord_less_eq_set_real @ ( set_or656347191t_real @ SV271 @ SV576 ) @ ( set_or656347191t_real @ SV797 @ SV925 ) )
              | ~ ( ~ ( ord_less_eq_real @ SV271 @ SV576 )
                  | ~ ( ~ ( ord_less_eq_real @ SV797 @ SV271 )
                      | ~ ( ord_less_eq_real @ SV576 @ SV925 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4065]) ).

thf(4379,plain,
    ! [SV925: real,SV576: real,SV271: real,SV797: real] :
      ( ( ( ~ ( ~ ( ord_less_eq_real @ SV797 @ SV271 )
              | ~ ( ord_less_eq_real @ SV576 @ SV925 ) ) )
        = $false )
      | ( ( ~ ( ~ ( ord_less_eq_set_real @ ( set_or656347191t_real @ SV271 @ SV576 ) @ ( set_or656347191t_real @ SV797 @ SV925 ) )
              | ~ ( ~ ( ord_less_eq_real @ SV271 @ SV576 )
                  | ~ ( ~ ( ord_less_eq_real @ SV797 @ SV271 )
                      | ~ ( ord_less_eq_real @ SV576 @ SV925 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4065]) ).

thf(4380,plain,
    ! [SV926: set_re2066790124real_c,SV577: set_re2066790124real_c] :
      ( ( ( ~ ( ord_le35002188real_c @ SV577 @ SV926 )
          | ~ ! [SY2643: real > finite1398487019real_c] :
                ( ~ ( member1321351885real_c @ SY2643 @ SV577 )
                | ( member1321351885real_c @ SY2643 @ SV926 ) ) )
        = $false )
      | ( ( ord_le35002188real_c @ SV577 @ SV926 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4066]) ).

thf(4381,plain,
    ! [SV577: set_re2066790124real_c,SV926: set_re2066790124real_c] :
      ( ( ( ~ ( member1321351885real_c @ ( sK92_SY2643 @ SV926 @ SV577 ) @ SV577 )
          | ( member1321351885real_c @ ( sK92_SY2643 @ SV926 @ SV577 ) @ SV926 ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le35002188real_c @ SV577 @ SV926 )
              | ~ ! [SY2643: real > finite1398487019real_c] :
                    ( ~ ( member1321351885real_c @ SY2643 @ SV577 )
                    | ( member1321351885real_c @ SY2643 @ SV926 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[4067]) ).

thf(4382,plain,
    ! [SV927: set_Pr1389752855real_c,SV578: set_Pr1389752855real_c] :
      ( ( ( ~ ( ord_le977353143real_c @ SV578 @ SV927 )
          | ~ ! [SY2644: produc190496183real_c] :
                ( ~ ( member1895684704real_c @ SY2644 @ SV578 )
                | ( member1895684704real_c @ SY2644 @ SV927 ) ) )
        = $false )
      | ( ( ord_le977353143real_c @ SV578 @ SV927 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4068]) ).

thf(4383,plain,
    ! [SV578: set_Pr1389752855real_c,SV927: set_Pr1389752855real_c] :
      ( ( ( ~ ( member1895684704real_c @ ( sK93_SY2644 @ SV927 @ SV578 ) @ SV578 )
          | ( member1895684704real_c @ ( sK93_SY2644 @ SV927 @ SV578 ) @ SV927 ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le977353143real_c @ SV578 @ SV927 )
              | ~ ! [SY2644: produc190496183real_c] :
                    ( ~ ( member1895684704real_c @ SY2644 @ SV578 )
                    | ( member1895684704real_c @ SY2644 @ SV927 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[4069]) ).

thf(4384,plain,
    ! [SV581: set_c,SV802: c > set_Sum_sum_c_c,SV928: c,SV276: c > sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ ( SV276 @ SV928 ) @ ( SV802 @ SV928 ) )
        = $true )
      | ( ( ~ ( member_c @ SV928 @ SV581 ) )
        = $true )
      | ( ( member_c_Sum_sum_c_c @ SV276 @ ( pi_c_Sum_sum_c_c @ SV581 @ SV802 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4071]) ).

thf(4385,plain,
    ! [SV277: c] :
      ( ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SV277 ) @ ( static_BVO_a_c @ oDEa ) )
        = $false )
      | ( ( ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SV277 )
          = ( finite772340578real_c @ ab @ SV277 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4072]) ).

thf(4386,plain,
    ! [SV277: c] :
      ( ( ( member_Sum_sum_c_d @ ( sum_Inl_c_d @ SV277 ) @ ( image_c_Sum_sum_c_d @ sum_Inl_c_d @ ( static_FVO_a_c @ oDEa ) ) )
        = $false )
      | ( ( ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SV277 )
          = ( finite772340578real_c @ ab @ SV277 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4073]) ).

thf(4387,plain,
    ! [SV582: set_Sum_sum_c_c,SV803: sum_sum_c_c > set_Sum_sum_c_c,SV929: sum_sum_c_c,SV278: sum_sum_c_c > sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ ( SV278 @ SV929 ) @ ( SV803 @ SV929 ) )
        = $true )
      | ( ( ~ ( member_Sum_sum_c_c @ SV929 @ SV582 ) )
        = $true )
      | ( ( member1326674048um_c_c @ SV278 @ ( pi_Sum253006871um_c_c @ SV582 @ SV803 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4074]) ).

thf(4388,plain,
    ! [SV584: set_Sum_sum_c_c,SV805: sum_sum_c_c > set_c,SV930: sum_sum_c_c,SV280: sum_sum_c_c > c] :
      ( ( ( member_c @ ( SV280 @ SV930 ) @ ( SV805 @ SV930 ) )
        = $true )
      | ( ( ~ ( member_Sum_sum_c_c @ SV930 @ SV584 ) )
        = $true )
      | ( ( member_Sum_sum_c_c_c @ SV280 @ ( pi_Sum_sum_c_c_c @ SV584 @ SV805 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4076]) ).

thf(4389,plain,
    ! [SV806: set_Sum_sum_c_c,SV585: sum_sum_c_c > sum_sum_c_d,SV281: sum_sum_c_d] :
      ( ( ( SV281
          = ( SV585 @ ( sK73_SY2552 @ SV806 @ SV585 @ SV281 ) ) )
        = $true )
      | ( ( member_Sum_sum_c_d @ SV281 @ ( image_675141842um_c_d @ SV585 @ SV806 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4077]) ).

thf(4390,plain,
    ! [SV281: sum_sum_c_d,SV585: sum_sum_c_c > sum_sum_c_d,SV806: set_Sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ ( sK73_SY2552 @ SV806 @ SV585 @ SV281 ) @ SV806 )
        = $true )
      | ( ( member_Sum_sum_c_d @ SV281 @ ( image_675141842um_c_d @ SV585 @ SV806 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4078]) ).

thf(4391,plain,
    ! [SV591: set_c,SV287: c,SV934: c > real > finite1398487019real_c,SV812: real > finite1398487019real_c] :
      ( ( ( ! [SV978: real] :
              ( ( SV812 @ SV978 )
              = ( SV934 @ SV287 @ SV978 ) ) )
        = $false )
      | ( ( member1321351885real_c @ SV812 @ ( image_1226855921real_c @ SV934 @ SV591 ) )
        = $true )
      | ( ( member_c @ SV287 @ SV591 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[4084]) ).

thf(4392,plain,
    ! [SV591: set_c,SV287: c,SV934: c > real > finite1398487019real_c,SV812: real > finite1398487019real_c] :
      ( ( ( SV812
          = ( SV934 @ SV287 ) )
        = $false )
      | ( ( member1321351885real_c @ SV812 @ ( image_1226855921real_c @ SV934 @ SV591 ) )
        = $true )
      | ( ( member_c @ SV287 @ SV591 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[4084]) ).

thf(4393,plain,
    ! [SV819: set_Sum_sum_c_c,SV601: sum_sum_c_c > sum_sum_c_c,SV297: sum_sum_c_c] :
      ( ( ( SV297
          = ( SV601 @ ( sK74_SY2565 @ SV819 @ SV601 @ SV297 ) ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ SV297 @ ( image_666880337um_c_c @ SV601 @ SV819 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4088]) ).

thf(4394,plain,
    ! [SV297: sum_sum_c_c,SV601: sum_sum_c_c > sum_sum_c_c,SV819: set_Sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ ( sK74_SY2565 @ SV819 @ SV601 @ SV297 ) @ SV819 )
        = $true )
      | ( ( member_Sum_sum_c_c @ SV297 @ ( image_666880337um_c_c @ SV601 @ SV819 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4089]) ).

thf(4395,plain,
    ! [SV820: set_Sum_sum_c_d,SV602: sum_sum_c_d > c,SV298: c] :
      ( ( ( SV298
          = ( SV602 @ ( sK75_SY2566 @ SV820 @ SV602 @ SV298 ) ) )
        = $true )
      | ( ( member_c @ SV298 @ ( image_Sum_sum_c_d_c @ SV602 @ SV820 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4090]) ).

thf(4396,plain,
    ! [SV298: c,SV602: sum_sum_c_d > c,SV820: set_Sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ ( sK75_SY2566 @ SV820 @ SV602 @ SV298 ) @ SV820 )
        = $true )
      | ( ( member_c @ SV298 @ ( image_Sum_sum_c_d_c @ SV602 @ SV820 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4091]) ).

thf(4397,plain,
    ! [SV823: set_Sum_sum_c_d,SV605: sum_sum_c_d > sum_sum_c_d,SV301: sum_sum_c_d] :
      ( ( ( SV301
          = ( SV605 @ ( sK76_SY2569 @ SV823 @ SV605 @ SV301 ) ) )
        = $true )
      | ( ( member_Sum_sum_c_d @ SV301 @ ( image_1567202899um_c_d @ SV605 @ SV823 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4094]) ).

thf(4398,plain,
    ! [SV301: sum_sum_c_d,SV605: sum_sum_c_d > sum_sum_c_d,SV823: set_Sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ ( sK76_SY2569 @ SV823 @ SV605 @ SV301 ) @ SV823 )
        = $true )
      | ( ( member_Sum_sum_c_d @ SV301 @ ( image_1567202899um_c_d @ SV605 @ SV823 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4095]) ).

thf(4399,plain,
    ! [SV937: produc957004601l_real,SV606: produc957004601l_real] :
      ( ( ( ~ ( ord_le1342644953l_real @ SV606 @ SV937 )
          | ~ ~ ( ~ ( ord_less_eq_real @ ( produc1422991709l_real @ SV606 ) @ ( produc1422991709l_real @ SV937 ) )
                | ~ ( ord_less_eq_real @ ( produc1407670175l_real @ SV606 ) @ ( produc1407670175l_real @ SV937 ) ) ) )
        = $false )
      | ( ( ord_le1342644953l_real @ SV606 @ SV937 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4096]) ).

thf(4400,plain,
    ! [SV937: produc957004601l_real,SV606: produc957004601l_real] :
      ( ( ( ~ ( ord_less_eq_real @ ( produc1422991709l_real @ SV606 ) @ ( produc1422991709l_real @ SV937 ) )
          | ~ ( ord_less_eq_real @ ( produc1407670175l_real @ SV606 ) @ ( produc1407670175l_real @ SV937 ) ) )
        = $true )
      | ( ( ~ ( ~ ( ord_le1342644953l_real @ SV606 @ SV937 )
              | ~ ~ ( ~ ( ord_less_eq_real @ ( produc1422991709l_real @ SV606 ) @ ( produc1422991709l_real @ SV937 ) )
                    | ~ ( ord_less_eq_real @ ( produc1407670175l_real @ SV606 ) @ ( produc1407670175l_real @ SV937 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4097]) ).

thf(4401,plain,
    ! [SV608: produc190496183real_c,SV304: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV304 @ ( denota968303861_a_b_c @ i @ p ) )
          | ~ ( member1895684704real_c @ SV608 @ ( denota968303861_a_b_c @ i @ p ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV304 @ ( denota968303861_a_b_c @ i @ p ) )
        = $false )
      | ( ( denota1997846518gree_c @ SV304 @ SV608 @ ( static_FVF_a_b_c @ p ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4099]) ).

thf(4402,plain,
    ! [SV608: produc190496183real_c,SV304: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV304 @ ( denota968303861_a_b_c @ i @ p ) )
          | ~ ( member1895684704real_c @ SV608 @ ( denota968303861_a_b_c @ i @ p ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV608 @ ( denota968303861_a_b_c @ i @ p ) )
        = $false )
      | ( ( denota1997846518gree_c @ SV304 @ SV608 @ ( static_FVF_a_b_c @ p ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4100]) ).

thf(4403,plain,
    ! [SV609: set_c,SV826: c > sum_sum_c_d,SV938: c > sum_sum_c_d,SV305: set_c] :
      ( ( ( ~ ( member_c @ ( sK94_SY2646 @ SV305 @ SV938 @ SV826 @ SV609 ) @ SV609 )
          | ( ( SV826 @ ( sK94_SY2646 @ SV305 @ SV938 @ SV826 @ SV609 ) )
            = ( SV938 @ ( sK94_SY2646 @ SV305 @ SV938 @ SV826 @ SV609 ) ) ) )
        = $false )
      | ( ( ( image_c_Sum_sum_c_d @ SV826 @ SV305 )
          = ( image_c_Sum_sum_c_d @ SV938 @ SV609 ) )
        = $true )
      | ( ( SV305 = SV609 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[4101]) ).

thf(4404,plain,
    ! [SV618: set_c,SV830: c > set_c,SV940: c,SV314: c > c] :
      ( ( ( member_c @ ( SV314 @ SV940 ) @ ( SV830 @ SV940 ) )
        = $true )
      | ( ( ~ ( member_c @ SV940 @ SV618 ) )
        = $true )
      | ( ( member_c_c @ SV314 @ ( pi_c_c @ SV618 @ SV830 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4104]) ).

thf(4405,plain,
    ! [SV941: finite1398487019real_c,SV831: finite1398487019real_c,SV619: finite1398487019real_c,SV315: finite1398487019real_c] :
      ( ( ( ~ ( ord_le850691415real_c @ ( produc394644079real_c @ SV315 @ SV619 ) @ ( produc394644079real_c @ SV831 @ SV941 ) )
          | ~ ~ ( ~ ( ord_le775706699real_c @ SV315 @ SV831 )
                | ~ ( ord_le775706699real_c @ SV619 @ SV941 ) ) )
        = $false )
      | ( ( ord_le850691415real_c @ ( produc394644079real_c @ SV315 @ SV619 ) @ ( produc394644079real_c @ SV831 @ SV941 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4105]) ).

thf(4406,plain,
    ! [SV941: finite1398487019real_c,SV619: finite1398487019real_c,SV831: finite1398487019real_c,SV315: finite1398487019real_c] :
      ( ( ( ~ ( ord_le775706699real_c @ SV315 @ SV831 )
          | ~ ( ord_le775706699real_c @ SV619 @ SV941 ) )
        = $true )
      | ( ( ~ ( ~ ( ord_le850691415real_c @ ( produc394644079real_c @ SV315 @ SV619 ) @ ( produc394644079real_c @ SV831 @ SV941 ) )
              | ~ ~ ( ~ ( ord_le775706699real_c @ SV315 @ SV831 )
                    | ~ ( ord_le775706699real_c @ SV619 @ SV941 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4106]) ).

thf(4407,plain,
    ! [SV832: real > set_Fi1407883041real_c,SV620: set_real,SV316: real > finite1398487019real_c] :
      ( ( ( ~ ( member1321351885real_c @ SV316 @ ( pi_rea1111636068real_c @ SV620 @ SV832 ) ) )
        = $false )
      | ( ( member1321351885real_c @ SV316 @ ( pi_rea1111636068real_c @ SV620 @ SV832 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4107]) ).

thf(4408,plain,
    ! [SV832: real > set_Fi1407883041real_c,SV316: real > finite1398487019real_c,SV620: set_real] :
      ( ( ( ~ ! [SY2577: real] :
                ( ~ ( member_real @ SY2577 @ SV620 )
                | ( member1261661570real_c @ ( SV316 @ SY2577 ) @ ( SV832 @ SY2577 ) ) ) )
        = $false )
      | ( ( member1321351885real_c @ SV316 @ ( pi_rea1111636068real_c @ SV620 @ SV832 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4107]) ).

thf(4409,plain,
    ! [SV620: set_real,SV316: real > finite1398487019real_c,SV832: real > set_Fi1407883041real_c] :
      ( ( ( ~ ( member_real @ ( sK81_SY2577 @ SV832 @ SV316 @ SV620 ) @ SV620 ) )
        = $false )
      | ( ( ~ ( ~ ( member1321351885real_c @ SV316 @ ( pi_rea1111636068real_c @ SV620 @ SV832 ) )
              | ~ ! [SY2577: real] :
                    ( ~ ( member_real @ SY2577 @ SV620 )
                    | ( member1261661570real_c @ ( SV316 @ SY2577 ) @ ( SV832 @ SY2577 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4108]) ).

thf(4410,plain,
    ! [SV620: set_real,SV832: real > set_Fi1407883041real_c,SV316: real > finite1398487019real_c] :
      ( ( ( member1261661570real_c @ ( SV316 @ ( sK81_SY2577 @ SV832 @ SV316 @ SV620 ) ) @ ( SV832 @ ( sK81_SY2577 @ SV832 @ SV316 @ SV620 ) ) )
        = $false )
      | ( ( ~ ( ~ ( member1321351885real_c @ SV316 @ ( pi_rea1111636068real_c @ SV620 @ SV832 ) )
              | ~ ! [SY2577: real] :
                    ( ~ ( member_real @ SY2577 @ SV620 )
                    | ( member1261661570real_c @ ( SV316 @ SY2577 ) @ ( SV832 @ SY2577 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4108]) ).

thf(4411,plain,
    ! [SV623: set_re2066790124real_c,SV835: ( real > finite1398487019real_c ) > set_c,SV942: real > finite1398487019real_c,SV319: ( real > finite1398487019real_c ) > c] :
      ( ( ( member_c @ ( SV319 @ SV942 ) @ ( SV835 @ SV942 ) )
        = $true )
      | ( ( ~ ( member1321351885real_c @ SV942 @ SV623 ) )
        = $true )
      | ( ( member527957930al_c_c @ SV319 @ ( pi_rea1228756413al_c_c @ SV623 @ SV835 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4109]) ).

thf(4412,plain,
    ! [SV944: produc190496183real_c,SV627: produc190496183real_c] :
      ( ( ( ( SV627 != SV944 )
          | ~ ~ ( ( ( produc2010422875real_c @ SV627 )
                 != ( produc2010422875real_c @ SV944 ) )
                | ( ( produc314122909real_c @ SV627 )
                 != ( produc314122909real_c @ SV944 ) ) ) )
        = $false )
      | ( ( SV627 = SV944 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4111]) ).

thf(4413,plain,
    ! [SV944: produc190496183real_c,SV627: produc190496183real_c] :
      ( ( ( ( ( produc2010422875real_c @ SV627 )
           != ( produc2010422875real_c @ SV944 ) )
          | ( ( produc314122909real_c @ SV627 )
           != ( produc314122909real_c @ SV944 ) ) )
        = $true )
      | ( ( ~ ( ( SV627 != SV944 )
              | ~ ~ ( ( ( produc2010422875real_c @ SV627 )
                     != ( produc2010422875real_c @ SV944 ) )
                    | ( ( produc314122909real_c @ SV627 )
                     != ( produc314122909real_c @ SV944 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4112]) ).

thf(4414,plain,
    ! [SV945: set_Pr1389752855real_c,SV628: set_Pr1389752855real_c] :
      ( ( ( ~ ( ord_le977353143real_c @ SV628 @ SV945 )
          | ~ ! [SY2647: produc190496183real_c] :
                ( ~ ( member1895684704real_c @ SY2647 @ SV628 )
                | ( member1895684704real_c @ SY2647 @ SV945 ) ) )
        = $false )
      | ( ( ord_le977353143real_c @ SV628 @ SV945 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4113]) ).

thf(4415,plain,
    ! [SV628: set_Pr1389752855real_c,SV945: set_Pr1389752855real_c] :
      ( ( ( ~ ( member1895684704real_c @ ( sK95_SY2647 @ SV945 @ SV628 ) @ SV628 )
          | ( member1895684704real_c @ ( sK95_SY2647 @ SV945 @ SV628 ) @ SV945 ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le977353143real_c @ SV628 @ SV945 )
              | ~ ! [SY2647: produc190496183real_c] :
                    ( ~ ( member1895684704real_c @ SY2647 @ SV628 )
                    | ( member1895684704real_c @ SY2647 @ SV945 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[4114]) ).

thf(4416,plain,
    ! [SV842: set_c,SV631: c > sum_sum_c_c,SV327: set_Sum_sum_c_c] :
      ( ( ( ~ ( ord_le1772180283um_c_c @ SV327 @ ( image_c_Sum_sum_c_c @ SV631 @ SV842 ) ) )
        = $false )
      | ( ( ord_le1772180283um_c_c @ SV327 @ ( image_c_Sum_sum_c_c @ SV631 @ SV842 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4115]) ).

thf(4417,plain,
    ! [SV631: c > sum_sum_c_c,SV327: set_Sum_sum_c_c,SV842: set_c] :
      ( ( ( ~ ~ ! [SY2581: set_c] :
                  ~ ~ ( ~ ( ord_less_eq_set_c @ SY2581 @ SV842 )
                      | ( SV327
                       != ( image_c_Sum_sum_c_c @ SV631 @ SY2581 ) ) ) )
        = $false )
      | ( ( ord_le1772180283um_c_c @ SV327 @ ( image_c_Sum_sum_c_c @ SV631 @ SV842 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4115]) ).

thf(4418,plain,
    ! [SV631: c > sum_sum_c_c,SV327: set_Sum_sum_c_c,SV842: set_c,SV979: set_c] :
      ( ( ( ~ ~ ( ~ ( ord_less_eq_set_c @ SV979 @ SV842 )
                | ( SV327
                 != ( image_c_Sum_sum_c_c @ SV631 @ SV979 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV327 @ ( image_c_Sum_sum_c_c @ SV631 @ SV842 ) )
              | ~ ~ ! [SY2581: set_c] :
                      ~ ~ ( ~ ( ord_less_eq_set_c @ SY2581 @ SV842 )
                          | ( SV327
                           != ( image_c_Sum_sum_c_c @ SV631 @ SY2581 ) ) ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[4116]) ).

thf(4419,plain,
    ! [SV844: sum_sum_c_d > $o,SV633: set_c,SV329: c > sum_sum_c_d,SV968: sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_d @ SV968 @ ( image_c_Sum_sum_c_d @ SV329 @ SV633 ) )
          | ~ ( SV844 @ SV968 ) )
        = $true )
      | ( ( ~ ! [SY2585: c] :
                ~ ~ ( ~ ( member_c @ SY2585 @ SV633 )
                    | ~ ( SV844 @ ( SV329 @ SY2585 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4117]) ).

thf(4420,plain,
    ! [SV948: finite1398487019real_c,SV636: finite1398487019real_c,SV847: finite1398487019real_c,SV332: finite1398487019real_c] :
      ( ( ( SV332 = SV847 )
        = $true )
      | ( ( ( produc394644079real_c @ SV332 @ SV636 )
          = ( produc394644079real_c @ SV847 @ SV948 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4119]) ).

thf(4421,plain,
    ! [SV847: finite1398487019real_c,SV332: finite1398487019real_c,SV948: finite1398487019real_c,SV636: finite1398487019real_c] :
      ( ( ( SV636 = SV948 )
        = $true )
      | ( ( ( produc394644079real_c @ SV332 @ SV636 )
          = ( produc394644079real_c @ SV847 @ SV948 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4120]) ).

thf(4422,plain,
    ! [SV850: finite1398487019real_c,SV337: finite1398487019real_c] :
      ( ( ( ~ ( ord_le775706699real_c @ SV337 @ SV850 ) )
        = $false )
      | ( ( ord_le775706699real_c @ SV337 @ SV850 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4123]) ).

thf(4423,plain,
    ! [SV850: finite1398487019real_c,SV337: finite1398487019real_c] :
      ( ( ( ~ ! [SY2596: c] : ( ord_less_eq_real @ ( finite772340578real_c @ SV337 @ SY2596 ) @ ( finite772340578real_c @ SV850 @ SY2596 ) ) )
        = $false )
      | ( ( ord_le775706699real_c @ SV337 @ SV850 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4123]) ).

thf(4424,plain,
    ! [SV850: finite1398487019real_c,SV337: finite1398487019real_c] :
      ( ( ( ~ ( ord_le775706699real_c @ SV337 @ SV850 )
          | ~ ! [SY2596: c] : ( ord_less_eq_real @ ( finite772340578real_c @ SV337 @ SY2596 ) @ ( finite772340578real_c @ SV850 @ SY2596 ) ) )
        = $false )
      | ( ( ord_less_eq_real @ ( finite772340578real_c @ SV337 @ ( sK82_SY2596 @ SV850 @ SV337 ) ) @ ( finite772340578real_c @ SV850 @ ( sK82_SY2596 @ SV850 @ SV337 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4124]) ).

thf(4425,plain,
    ! [SV338: finite1398487019real_c,SV7: finite1398487019real_c] :
      ( ( ( ( finite772340578real_c @ SV7 )
         != ( finite772340578real_c @ SV338 ) )
        = $false )
      | ( ( ( finite772340578real_c @ SV7 @ ( sK77_SV963 @ SV338 @ SV7 ) )
          = ( finite772340578real_c @ SV338 @ ( sK77_SV963 @ SV338 @ SV7 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4125]) ).

thf(4426,plain,
    ! [SV338: finite1398487019real_c,SV7: finite1398487019real_c] :
      ( ( ( SV7 != SV338 )
        = $false )
      | ( ( ( finite772340578real_c @ SV7 @ ( sK77_SV963 @ SV338 @ SV7 ) )
          = ( finite772340578real_c @ SV338 @ ( sK77_SV963 @ SV338 @ SV7 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4125]) ).

thf(4427,plain,
    ! [SV338: finite1398487019real_c,SV7: finite1398487019real_c] :
      ( ( ( ( finite772340578real_c @ SV7 )
          = ( finite772340578real_c @ SV338 ) )
        = $true )
      | ( ( ( finite772340578real_c @ SV7 )
          = ( finite772340578real_c @ SV338 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4126]) ).

thf(4428,plain,
    ! [SV338: finite1398487019real_c,SV7: finite1398487019real_c] :
      ( ( ( SV7 = SV338 )
        = $true )
      | ( ( ( finite772340578real_c @ SV7 )
          = ( finite772340578real_c @ SV338 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4127]) ).

thf(4429,plain,
    ! [SV338: finite1398487019real_c,SV7: finite1398487019real_c] :
      ( ( ( ! [SV980: c] :
              ( ( finite772340578real_c @ SV7 @ SV980 )
              = ( finite772340578real_c @ SV338 @ SV980 ) ) )
        = $true )
      | ( ( SV7 = SV338 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[4128]) ).

thf(4430,plain,
    ! [SV338: finite1398487019real_c,SV7: finite1398487019real_c] :
      ( ( ( ( finite772340578real_c @ SV7 )
          = ( finite772340578real_c @ SV338 ) )
        = $true )
      | ( ( SV7 = SV338 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[4128]) ).

thf(4431,plain,
    ! [SV851: finite1398487019real_c,SV339: finite1398487019real_c] :
      ( ( ( SV339 != SV851 )
        = $false )
      | ( ( SV339 = SV851 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4130]) ).

thf(4432,plain,
    ! [SV851: finite1398487019real_c,SV339: finite1398487019real_c] :
      ( ( ( ~ ! [SY2597: c] :
                ( ( finite772340578real_c @ SV339 @ SY2597 )
                = ( finite772340578real_c @ SV851 @ SY2597 ) ) )
        = $false )
      | ( ( SV339 = SV851 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4130]) ).

thf(4433,plain,
    ! [SV851: finite1398487019real_c,SV339: finite1398487019real_c] :
      ( ( ( ( SV339 != SV851 )
          | ~ ! [SY2597: c] :
                ( ( finite772340578real_c @ SV339 @ SY2597 )
                = ( finite772340578real_c @ SV851 @ SY2597 ) ) )
        = $false )
      | ( ( ( finite772340578real_c @ SV339 @ ( sK83_SY2597 @ SV851 @ SV339 ) )
          = ( finite772340578real_c @ SV851 @ ( sK83_SY2597 @ SV851 @ SV339 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4131]) ).

thf(4434,plain,
    ! [SV348: c > real,SV24: finite1398487019real_c] :
      ( ( ( ! [SY1885: c] :
              ( ( finite772340578real_c @ SV24 @ SY1885 )
              = ( SV348 @ SY1885 ) ) )
        = $true )
      | ( ( ( finite772340578real_c @ SV24 @ ( sK61_SY1885 @ SV348 @ SV24 ) )
          = ( SV348 @ ( sK61_SY1885 @ SV348 @ SV24 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4156]) ).

thf(4435,plain,
    ! [SV24: finite1398487019real_c,SV348: c > real] :
      ( ( ( ( finite557796307c_real @ SV348 )
          = SV24 )
        = $true )
      | ( ( ( finite772340578real_c @ SV24 @ ( sK61_SY1885 @ SV348 @ SV24 ) )
          = ( SV348 @ ( sK61_SY1885 @ SV348 @ SV24 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4157]) ).

thf(4436,plain,
    ! [SV348: c > real,SV981: c,SV24: finite1398487019real_c] :
      ( ( ( ( finite772340578real_c @ SV24 @ SV981 )
          = ( SV348 @ SV981 ) )
        = $true )
      | ( ( ( finite557796307c_real @ SV348 )
          = SV24 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[4158]) ).

thf(4437,plain,
    ! [SV644: oDE_a_c,SV362: denota231621370t_unit,SV51: c] :
      ( ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SV51 ) @ ( denota1293057250_a_b_c @ SV362 @ SV644 ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SV51 ) @ ( denota1293057250_a_b_c @ SV362 @ SV644 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4172]) ).

thf(4438,plain,
    ! [SV644: oDE_a_c,SV362: denota231621370t_unit,SV51: c] :
      ( ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SV51 ) @ ( denota1293057250_a_b_c @ SV362 @ SV644 ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SV51 ) @ ( denota1293057250_a_b_c @ SV362 @ SV644 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4173]) ).

thf(4439,plain,
    ! [SV644: oDE_a_c,SV362: denota231621370t_unit,SV51: c] :
      ( ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SV51 ) @ ( denota1293057250_a_b_c @ SV362 @ SV644 ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SV51 ) @ ( denota1293057250_a_b_c @ SV362 @ SV644 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4174]) ).

thf(4440,plain,
    ! [SV644: oDE_a_c,SV362: denota231621370t_unit,SV51: c] :
      ( ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SV51 ) @ ( denota1293057250_a_b_c @ SV362 @ SV644 ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SV51 ) @ ( denota1293057250_a_b_c @ SV362 @ SV644 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4175]) ).

thf(4441,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ ( equiv_a_b_c @ SV645 @ SV855 ) ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ ( equiv_a_b_c @ SV645 @ SV855 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4180]) ).

thf(4442,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
         != ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ ( equiv_a_b_c @ SV645 @ SV855 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4180]) ).

thf(4443,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ~ ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
              | ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ ( equiv_a_b_c @ SV645 @ SV855 ) ) )
              | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
               != ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4181]) ).

thf(4444,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ~ ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
              | ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ ( equiv_a_b_c @ SV645 @ SV855 ) ) )
              | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
               != ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4181]) ).

thf(4445,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ ( equiv_a_b_c @ SV645 @ SV855 ) ) )
          | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
           != ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) ) )
        = $false )
      | ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
          = ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4182]) ).

thf(4446,plain,
    ! [SV370: set_c,SV60: c] :
      ( ( ( member_c @ SV60 @ SV370 )
        = $false )
      | ( ( member_c @ SV60 @ ( uminus_uminus_set_c @ SV370 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4196]) ).

thf(4447,plain,
    ! [SV370: set_c,SV60: c] :
      ( ( ( member_c @ SV60 @ ( uminus_uminus_set_c @ SV370 ) )
        = $true )
      | ( ( member_c @ SV60 @ SV370 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4197]) ).

thf(4448,plain,
    ! [SV370: set_c,SV60: c] :
      ( ( ( ~ ( member_c @ SV60 @ SV370 ) )
        = $true )
      | ( ( member_c @ SV60 @ SV370 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4198]) ).

thf(4449,plain,
    ! [SV371: set_Sum_sum_c_d,SV61: sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ SV61 @ SV371 )
        = $false )
      | ( ( member_Sum_sum_c_d @ SV61 @ ( uminus373867045um_c_d @ SV371 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4200]) ).

thf(4450,plain,
    ! [SV371: set_Sum_sum_c_d,SV61: sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ SV61 @ ( uminus373867045um_c_d @ SV371 ) )
        = $true )
      | ( ( member_Sum_sum_c_d @ SV61 @ SV371 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4201]) ).

thf(4451,plain,
    ! [SV371: set_Sum_sum_c_d,SV61: sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_d @ SV61 @ SV371 ) )
        = $true )
      | ( ( member_Sum_sum_c_d @ SV61 @ SV371 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4202]) ).

thf(4452,plain,
    ! [SV372: set_Pr1389752855real_c,SV62: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV62 @ SV372 )
        = $false )
      | ( ( member1895684704real_c @ SV62 @ ( uminus232257166real_c @ SV372 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4204]) ).

thf(4453,plain,
    ! [SV372: set_Pr1389752855real_c,SV62: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV62 @ ( uminus232257166real_c @ SV372 ) )
        = $true )
      | ( ( member1895684704real_c @ SV62 @ SV372 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4205]) ).

thf(4454,plain,
    ! [SV372: set_Pr1389752855real_c,SV62: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV62 @ SV372 ) )
        = $true )
      | ( ( member1895684704real_c @ SV62 @ SV372 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4206]) ).

thf(4455,plain,
    ! [SV373: set_re2066790124real_c,SV63: real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ SV63 @ SV373 )
        = $false )
      | ( ( member1321351885real_c @ SV63 @ ( uminus946614837real_c @ SV373 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4208]) ).

thf(4456,plain,
    ! [SV373: set_re2066790124real_c,SV63: real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ SV63 @ ( uminus946614837real_c @ SV373 ) )
        = $true )
      | ( ( member1321351885real_c @ SV63 @ SV373 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4209]) ).

thf(4457,plain,
    ! [SV373: set_re2066790124real_c,SV63: real > finite1398487019real_c] :
      ( ( ( ~ ( member1321351885real_c @ SV63 @ SV373 ) )
        = $true )
      | ( ( member1321351885real_c @ SV63 @ SV373 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4210]) ).

thf(4458,plain,
    ! [SV374: set_Sum_sum_c_c,SV64: sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ SV64 @ SV374 )
        = $false )
      | ( ( member_Sum_sum_c_c @ SV64 @ ( uminus1381786404um_c_c @ SV374 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4212]) ).

thf(4459,plain,
    ! [SV374: set_Sum_sum_c_c,SV64: sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ SV64 @ ( uminus1381786404um_c_c @ SV374 ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ SV64 @ SV374 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4213]) ).

thf(4460,plain,
    ! [SV374: set_Sum_sum_c_c,SV64: sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ SV64 @ SV374 ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ SV64 @ SV374 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4214]) ).

thf(4461,plain,
    ! [SV856: set_Sum_sum_c_c,SV381: set_Sum_sum_c_c] :
      ( ( ( ~ ( ord_le1772180283um_c_c @ SV381 @ SV856 ) )
        = $false )
      | ( ( ord_le1772180283um_c_c @ SV381 @ SV856 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4215]) ).

thf(4462,plain,
    ! [SV856: set_Sum_sum_c_c,SV381: set_Sum_sum_c_c] :
      ( ( ( ~ ( ord_le1315653386_c_c_o
              @ ^ [SY1915: sum_sum_c_c] : ( member_Sum_sum_c_c @ SY1915 @ SV381 )
              @ ^ [SY2608: sum_sum_c_c] : ( member_Sum_sum_c_c @ SY2608 @ SV856 ) ) )
        = $false )
      | ( ( ord_le1772180283um_c_c @ SV381 @ SV856 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4215]) ).

thf(4463,plain,
    ! [SV856: set_Sum_sum_c_c,SV381: set_Sum_sum_c_c] :
      ( ( ( ~ ( ord_le1772180283um_c_c @ SV381 @ SV856 ) )
        = $false )
      | ( ( ord_le1315653386_c_c_o
          @ ^ [SY1915: sum_sum_c_c] : ( member_Sum_sum_c_c @ SY1915 @ SV381 )
          @ ^ [SY2608: sum_sum_c_c] : ( member_Sum_sum_c_c @ SY2608 @ SV856 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4216]) ).

thf(4464,plain,
    ! [SV856: set_Sum_sum_c_c,SV381: set_Sum_sum_c_c] :
      ( ( ( ~ ( ord_le1315653386_c_c_o
              @ ^ [SY1915: sum_sum_c_c] : ( member_Sum_sum_c_c @ SY1915 @ SV381 )
              @ ^ [SY2608: sum_sum_c_c] : ( member_Sum_sum_c_c @ SY2608 @ SV856 ) ) )
        = $false )
      | ( ( ord_le1315653386_c_c_o
          @ ^ [SY1915: sum_sum_c_c] : ( member_Sum_sum_c_c @ SY1915 @ SV381 )
          @ ^ [SY2608: sum_sum_c_c] : ( member_Sum_sum_c_c @ SY2608 @ SV856 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4216]) ).

thf(4465,plain,
    ! [SV857: set_c,SV382: set_c] :
      ( ( ( ~ ( ord_less_eq_set_c @ SV382 @ SV857 ) )
        = $false )
      | ( ( ord_less_eq_set_c @ SV382 @ SV857 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4217]) ).

thf(4466,plain,
    ! [SV857: set_c,SV382: set_c] :
      ( ( ( ~ ( ord_less_eq_c_o
              @ ^ [SY1918: c] : ( member_c @ SY1918 @ SV382 )
              @ ^ [SY2610: c] : ( member_c @ SY2610 @ SV857 ) ) )
        = $false )
      | ( ( ord_less_eq_set_c @ SV382 @ SV857 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4217]) ).

thf(4467,plain,
    ! [SV857: set_c,SV382: set_c] :
      ( ( ( ~ ( ord_less_eq_set_c @ SV382 @ SV857 ) )
        = $false )
      | ( ( ord_less_eq_c_o
          @ ^ [SY1918: c] : ( member_c @ SY1918 @ SV382 )
          @ ^ [SY2610: c] : ( member_c @ SY2610 @ SV857 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4218]) ).

thf(4468,plain,
    ! [SV857: set_c,SV382: set_c] :
      ( ( ( ~ ( ord_less_eq_c_o
              @ ^ [SY1918: c] : ( member_c @ SY1918 @ SV382 )
              @ ^ [SY2610: c] : ( member_c @ SY2610 @ SV857 ) ) )
        = $false )
      | ( ( ord_less_eq_c_o
          @ ^ [SY1918: c] : ( member_c @ SY1918 @ SV382 )
          @ ^ [SY2610: c] : ( member_c @ SY2610 @ SV857 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4218]) ).

thf(4469,plain,
    ! [SV858: set_Sum_sum_c_d,SV383: set_Sum_sum_c_d] :
      ( ( ( ~ ( ord_le764260924um_c_d @ SV383 @ SV858 ) )
        = $false )
      | ( ( ord_le764260924um_c_d @ SV383 @ SV858 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4219]) ).

thf(4470,plain,
    ! [SV858: set_Sum_sum_c_d,SV383: set_Sum_sum_c_d] :
      ( ( ( ~ ( ord_le2143422793_c_d_o
              @ ^ [SY1921: sum_sum_c_d] : ( member_Sum_sum_c_d @ SY1921 @ SV383 )
              @ ^ [SY2612: sum_sum_c_d] : ( member_Sum_sum_c_d @ SY2612 @ SV858 ) ) )
        = $false )
      | ( ( ord_le764260924um_c_d @ SV383 @ SV858 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4219]) ).

thf(4471,plain,
    ! [SV858: set_Sum_sum_c_d,SV383: set_Sum_sum_c_d] :
      ( ( ( ~ ( ord_le764260924um_c_d @ SV383 @ SV858 ) )
        = $false )
      | ( ( ord_le2143422793_c_d_o
          @ ^ [SY1921: sum_sum_c_d] : ( member_Sum_sum_c_d @ SY1921 @ SV383 )
          @ ^ [SY2612: sum_sum_c_d] : ( member_Sum_sum_c_d @ SY2612 @ SV858 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4220]) ).

thf(4472,plain,
    ! [SV858: set_Sum_sum_c_d,SV383: set_Sum_sum_c_d] :
      ( ( ( ~ ( ord_le2143422793_c_d_o
              @ ^ [SY1921: sum_sum_c_d] : ( member_Sum_sum_c_d @ SY1921 @ SV383 )
              @ ^ [SY2612: sum_sum_c_d] : ( member_Sum_sum_c_d @ SY2612 @ SV858 ) ) )
        = $false )
      | ( ( ord_le2143422793_c_d_o
          @ ^ [SY1921: sum_sum_c_d] : ( member_Sum_sum_c_d @ SY1921 @ SV383 )
          @ ^ [SY2612: sum_sum_c_d] : ( member_Sum_sum_c_d @ SY2612 @ SV858 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4220]) ).

thf(4473,plain,
    ! [SV859: set_Pr1389752855real_c,SV384: set_Pr1389752855real_c] :
      ( ( ( ~ ( ord_le977353143real_c @ SV384 @ SV859 ) )
        = $false )
      | ( ( ord_le977353143real_c @ SV384 @ SV859 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4221]) ).

thf(4474,plain,
    ! [SV859: set_Pr1389752855real_c,SV384: set_Pr1389752855real_c] :
      ( ( ( ~ ( ord_le1132241894al_c_o
              @ ^ [SY1924: produc190496183real_c] : ( member1895684704real_c @ SY1924 @ SV384 )
              @ ^ [SY2614: produc190496183real_c] : ( member1895684704real_c @ SY2614 @ SV859 ) ) )
        = $false )
      | ( ( ord_le977353143real_c @ SV384 @ SV859 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4221]) ).

thf(4475,plain,
    ! [SV859: set_Pr1389752855real_c,SV384: set_Pr1389752855real_c] :
      ( ( ( ~ ( ord_le977353143real_c @ SV384 @ SV859 ) )
        = $false )
      | ( ( ord_le1132241894al_c_o
          @ ^ [SY1924: produc190496183real_c] : ( member1895684704real_c @ SY1924 @ SV384 )
          @ ^ [SY2614: produc190496183real_c] : ( member1895684704real_c @ SY2614 @ SV859 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4222]) ).

thf(4476,plain,
    ! [SV859: set_Pr1389752855real_c,SV384: set_Pr1389752855real_c] :
      ( ( ( ~ ( ord_le1132241894al_c_o
              @ ^ [SY1924: produc190496183real_c] : ( member1895684704real_c @ SY1924 @ SV384 )
              @ ^ [SY2614: produc190496183real_c] : ( member1895684704real_c @ SY2614 @ SV859 ) ) )
        = $false )
      | ( ( ord_le1132241894al_c_o
          @ ^ [SY1924: produc190496183real_c] : ( member1895684704real_c @ SY1924 @ SV384 )
          @ ^ [SY2614: produc190496183real_c] : ( member1895684704real_c @ SY2614 @ SV859 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4222]) ).

thf(4477,plain,
    ! [SV860: set_re2066790124real_c,SV385: set_re2066790124real_c] :
      ( ( ( ~ ( ord_le35002188real_c @ SV385 @ SV860 ) )
        = $false )
      | ( ( ord_le35002188real_c @ SV385 @ SV860 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4223]) ).

thf(4478,plain,
    ! [SV860: set_re2066790124real_c,SV385: set_re2066790124real_c] :
      ( ( ( ~ ( ord_le818951225al_c_o
              @ ^ [SY1927: real > finite1398487019real_c] : ( member1321351885real_c @ SY1927 @ SV385 )
              @ ^ [SY2616: real > finite1398487019real_c] : ( member1321351885real_c @ SY2616 @ SV860 ) ) )
        = $false )
      | ( ( ord_le35002188real_c @ SV385 @ SV860 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4223]) ).

thf(4479,plain,
    ! [SV860: set_re2066790124real_c,SV385: set_re2066790124real_c] :
      ( ( ( ~ ( ord_le35002188real_c @ SV385 @ SV860 ) )
        = $false )
      | ( ( ord_le818951225al_c_o
          @ ^ [SY1927: real > finite1398487019real_c] : ( member1321351885real_c @ SY1927 @ SV385 )
          @ ^ [SY2616: real > finite1398487019real_c] : ( member1321351885real_c @ SY2616 @ SV860 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4224]) ).

thf(4480,plain,
    ! [SV860: set_re2066790124real_c,SV385: set_re2066790124real_c] :
      ( ( ( ~ ( ord_le818951225al_c_o
              @ ^ [SY1927: real > finite1398487019real_c] : ( member1321351885real_c @ SY1927 @ SV385 )
              @ ^ [SY2616: real > finite1398487019real_c] : ( member1321351885real_c @ SY2616 @ SV860 ) ) )
        = $false )
      | ( ( ord_le818951225al_c_o
          @ ^ [SY1927: real > finite1398487019real_c] : ( member1321351885real_c @ SY1927 @ SV385 )
          @ ^ [SY2616: real > finite1398487019real_c] : ( member1321351885real_c @ SY2616 @ SV860 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4224]) ).

thf(4481,plain,
    ! [SV658: set_Sum_sum_c_c,SV399: set_c,SV93: c > sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV93 @ SV399 ) @ SV658 )
        = $true )
      | ( ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV93 @ SV399 ) @ SV658 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4225]) ).

thf(4482,plain,
    ! [SV658: set_Sum_sum_c_c,SV399: set_c,SV93: c > sum_sum_c_c] :
      ( ( ( member_c_Sum_sum_c_c @ SV93
          @ ( pi_c_Sum_sum_c_c @ SV399
            @ ^ [SY2391: c] : SV658 ) )
        = $true )
      | ( ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV93 @ SV399 ) @ SV658 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4226]) ).

thf(4483,plain,
    ! [SV658: set_Sum_sum_c_c,SV399: set_c,SV93: c > sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV93 @ SV399 ) @ SV658 )
        = $true )
      | ( ( member_c_Sum_sum_c_c @ SV93
          @ ( pi_c_Sum_sum_c_c @ SV399
            @ ^ [SY2391: c] : SV658 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4227]) ).

thf(4484,plain,
    ! [SV658: set_Sum_sum_c_c,SV399: set_c,SV93: c > sum_sum_c_c] :
      ( ( ( member_c_Sum_sum_c_c @ SV93
          @ ( pi_c_Sum_sum_c_c @ SV399
            @ ^ [SY2391: c] : SV658 ) )
        = $true )
      | ( ( member_c_Sum_sum_c_c @ SV93
          @ ( pi_c_Sum_sum_c_c @ SV399
            @ ^ [SY2391: c] : SV658 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4228]) ).

thf(4485,plain,
    ! [SV659: set_Sum_sum_c_d,SV400: set_c,SV94: c > sum_sum_c_d] :
      ( ( ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV94 @ SV400 ) @ SV659 )
        = $true )
      | ( ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV94 @ SV400 ) @ SV659 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4229]) ).

thf(4486,plain,
    ! [SV659: set_Sum_sum_c_d,SV400: set_c,SV94: c > sum_sum_c_d] :
      ( ( ( member_c_Sum_sum_c_d @ SV94
          @ ( pi_c_Sum_sum_c_d @ SV400
            @ ^ [SY2392: c] : SV659 ) )
        = $true )
      | ( ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV94 @ SV400 ) @ SV659 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4230]) ).

thf(4487,plain,
    ! [SV659: set_Sum_sum_c_d,SV400: set_c,SV94: c > sum_sum_c_d] :
      ( ( ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV94 @ SV400 ) @ SV659 )
        = $true )
      | ( ( member_c_Sum_sum_c_d @ SV94
          @ ( pi_c_Sum_sum_c_d @ SV400
            @ ^ [SY2392: c] : SV659 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4231]) ).

thf(4488,plain,
    ! [SV659: set_Sum_sum_c_d,SV400: set_c,SV94: c > sum_sum_c_d] :
      ( ( ( member_c_Sum_sum_c_d @ SV94
          @ ( pi_c_Sum_sum_c_d @ SV400
            @ ^ [SY2392: c] : SV659 ) )
        = $true )
      | ( ( member_c_Sum_sum_c_d @ SV94
          @ ( pi_c_Sum_sum_c_d @ SV400
            @ ^ [SY2392: c] : SV659 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4232]) ).

thf(4489,plain,
    ! [SV660: set_Fi1407883041real_c,SV401: set_real,SV95: real > finite1398487019real_c] :
      ( ( ( ord_le1327118209real_c @ ( image_327677598real_c @ SV95 @ SV401 ) @ SV660 )
        = $true )
      | ( ( ord_le1327118209real_c @ ( image_327677598real_c @ SV95 @ SV401 ) @ SV660 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4233]) ).

thf(4490,plain,
    ! [SV660: set_Fi1407883041real_c,SV401: set_real,SV95: real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ SV95
          @ ( pi_rea1111636068real_c @ SV401
            @ ^ [SY2393: real] : SV660 ) )
        = $true )
      | ( ( ord_le1327118209real_c @ ( image_327677598real_c @ SV95 @ SV401 ) @ SV660 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4234]) ).

thf(4491,plain,
    ! [SV660: set_Fi1407883041real_c,SV401: set_real,SV95: real > finite1398487019real_c] :
      ( ( ( ord_le1327118209real_c @ ( image_327677598real_c @ SV95 @ SV401 ) @ SV660 )
        = $true )
      | ( ( member1321351885real_c @ SV95
          @ ( pi_rea1111636068real_c @ SV401
            @ ^ [SY2393: real] : SV660 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4235]) ).

thf(4492,plain,
    ! [SV660: set_Fi1407883041real_c,SV401: set_real,SV95: real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ SV95
          @ ( pi_rea1111636068real_c @ SV401
            @ ^ [SY2393: real] : SV660 ) )
        = $true )
      | ( ( member1321351885real_c @ SV95
          @ ( pi_rea1111636068real_c @ SV401
            @ ^ [SY2393: real] : SV660 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4236]) ).

thf(4493,plain,
    ! [SV98: $o] :
      ( ( ( ~ ( SV98
              | $false )
          | ~ ( ~ SV98
              | ~ $false ) )
        = $true )
      | ( SV98 = $false )
      | ( SV98 = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[4237]) ).

thf(4494,plain,
    ! [SV98: $o] :
      ( ( ( SV98 = $false )
        = $true )
      | ( SV98 = $false )
      | ( SV98 = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[4237]) ).

thf(4495,plain,
    ! [SV98: $o] :
      ( ( ( ~ ( SV98
              | $false )
          | ~ ( ~ SV98
              | ~ $false ) )
        = $true )
      | ( SV98 = $false )
      | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[4238]) ).

thf(4496,plain,
    ! [SV98: $o] :
      ( ( ( SV98 = $false )
        = $true )
      | ( SV98 = $false )
      | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[4238]) ).

thf(4497,plain,
    ! [SV98: $o] :
      ( ( ( ~ ( SV98
              | $false )
          | ~ ( ~ SV98
              | ~ $false ) )
        = $true )
      | ( $true = $false )
      | ( SV98 = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[4239]) ).

thf(4498,plain,
    ! [SV98: $o] :
      ( ( ( SV98 = $false )
        = $true )
      | ( $true = $false )
      | ( SV98 = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[4239]) ).

thf(4499,plain,
    ! [SV98: $o] :
      ( ( ( ~ ( SV98
              | $false )
          | ~ ( ~ SV98
              | ~ $false ) )
        = $true )
      | ( $true = $false )
      | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[4240]) ).

thf(4500,plain,
    ! [SV98: $o] :
      ( ( ( SV98 = $false )
        = $true )
      | ( $true = $false )
      | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[4240]) ).

thf(4501,plain,
    ! [SV98: $o] :
      ( ( SV98 = $true )
      | ( SV98 = $false )
      | ( ( SV98 = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4241]) ).

thf(4502,plain,
    ! [SV98: $o] :
      ( ( $false = $true )
      | ( SV98 = $false )
      | ( ( SV98 = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4242]) ).

thf(4503,plain,
    ! [SV98: $o] :
      ( ( SV98 = $true )
      | ( $false = $false )
      | ( ( SV98 = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4243]) ).

thf(4504,plain,
    ! [SV98: $o] :
      ( ( $false = $true )
      | ( $false = $false )
      | ( ( SV98 = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4244]) ).

thf(4505,plain,
    ( ( ( ~ ( $true
            | $false )
        | ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[4245]) ).

thf(4506,plain,
    ( ( ( $true = $false )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[4245]) ).

thf(4507,plain,
    ( ( ( ~ ( $true
            | $false )
        | ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[4246]) ).

thf(4508,plain,
    ( ( ( $true = $false )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[4246]) ).

thf(4509,plain,
    ( ( ( ~ ( $true
            | $false )
        | ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[4247]) ).

thf(4510,plain,
    ( ( ( $true = $false )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[4247]) ).

thf(4511,plain,
    ( ( ( ~ ( $true
            | $false )
        | ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[4248]) ).

thf(4512,plain,
    ( ( ( $true = $false )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[4248]) ).

thf(4513,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4249]) ).

thf(4514,plain,
    ( ( $false = $true )
    | ( $true = $false )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4250]) ).

thf(4515,plain,
    ( ( $true = $true )
    | ( $false = $false )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4251]) ).

thf(4516,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( ( $true = $true )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4252]) ).

thf(4517,plain,
    ( ( ( ~ ( $false
            | $false )
        | ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[4253]) ).

thf(4518,plain,
    ( ( ( $false = $false )
      = $true )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[4253]) ).

thf(4519,plain,
    ( ( ( ~ ( $false
            | $false )
        | ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[4254]) ).

thf(4520,plain,
    ( ( ( $false = $false )
      = $true )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[4254]) ).

thf(4521,plain,
    ( ( ( ~ ( $false
            | $false )
        | ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[4255]) ).

thf(4522,plain,
    ( ( ( $false = $false )
      = $true )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[4255]) ).

thf(4523,plain,
    ( ( ( ~ ( $false
            | $false )
        | ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[4256]) ).

thf(4524,plain,
    ( ( ( $false = $false )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[4256]) ).

thf(4525,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4257]) ).

thf(4526,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4258]) ).

thf(4527,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4259]) ).

thf(4528,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( ( $false = $true )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4260]) ).

thf(4529,plain,
    ! [SV865: finite1398487019real_c,SV666: finite1398487019real_c,SV412: finite1398487019real_c,SV107: finite1398487019real_c] :
      ( ( ( ( produc394644079real_c @ SV107 @ SV412 )
         != ( produc394644079real_c @ SV666 @ SV865 ) )
        = $false )
      | ( ( ( produc394644079real_c @ SV107 @ SV412 )
          = ( produc394644079real_c @ SV666 @ SV865 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4261]) ).

thf(4530,plain,
    ! [SV865: finite1398487019real_c,SV412: finite1398487019real_c,SV666: finite1398487019real_c,SV107: finite1398487019real_c] :
      ( ( ( ~ ~ ( ( SV107 != SV666 )
                | ( SV412 != SV865 ) ) )
        = $false )
      | ( ( ( produc394644079real_c @ SV107 @ SV412 )
          = ( produc394644079real_c @ SV666 @ SV865 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4261]) ).

thf(4531,plain,
    ! [SV865: finite1398487019real_c,SV412: finite1398487019real_c,SV666: finite1398487019real_c,SV107: finite1398487019real_c] :
      ( ( ( SV107 != SV666 )
        = $true )
      | ( ( SV412 != SV865 )
        = $true )
      | ( ( ~ ( ( ( produc394644079real_c @ SV107 @ SV412 )
               != ( produc394644079real_c @ SV666 @ SV865 ) )
              | ~ ~ ( ( SV107 != SV666 )
                    | ( SV412 != SV865 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4262]) ).

thf(4532,plain,
    ! [SV668: set_c,SV414: c > sum_sum_c_d,SV109: set_Sum_sum_c_d] :
      ( ( ( ord_le764260924um_c_d @ SV109 @ ( image_c_Sum_sum_c_d @ SV414 @ SV668 ) )
        = $true )
      | ( ( ord_le764260924um_c_d @ SV109 @ ( image_c_Sum_sum_c_d @ SV414 @ SV668 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4263]) ).

thf(4533,plain,
    ! [SV414: c > sum_sum_c_d,SV109: set_Sum_sum_c_d,SV668: set_c] :
      ( ( ( ~ ! [SY2402: set_c] :
                ~ ~ ( ~ ( ord_less_eq_set_c @ SY2402 @ SV668 )
                    | ( SV109
                     != ( image_c_Sum_sum_c_d @ SV414 @ SY2402 ) ) ) )
        = $true )
      | ( ( ord_le764260924um_c_d @ SV109 @ ( image_c_Sum_sum_c_d @ SV414 @ SV668 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4264]) ).

thf(4534,plain,
    ! [SV414: c > sum_sum_c_d,SV109: set_Sum_sum_c_d,SV668: set_c,SV973: set_c] :
      ( ( ( ~ ( ~ ( ord_less_eq_set_c @ SV973 @ SV668 )
              | ( SV109
               != ( image_c_Sum_sum_c_d @ SV414 @ SV973 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le764260924um_c_d @ SV109 @ ( image_c_Sum_sum_c_d @ SV414 @ SV668 ) )
              | ~ ~ ! [SY2402: set_c] :
                      ~ ~ ( ~ ( ord_less_eq_set_c @ SY2402 @ SV668 )
                          | ( SV109
                           != ( image_c_Sum_sum_c_d @ SV414 @ SY2402 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4265]) ).

thf(4535,plain,
    ! [SV110: produc190496183real_c,SV415: denota231621370t_unit,SV669: oDE_a_c,SV866: finite1398487019real_c] :
      ( ( denota1997846518gree_c @ ( sK15_SY2621 @ SV866 @ SV669 @ SV415 @ SV110 ) @ SV110 @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ SV415 @ SV669 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[4266]) ).

thf(4536,plain,
    ! [SV110: produc190496183real_c,SV415: denota231621370t_unit,SV669: oDE_a_c,SV866: finite1398487019real_c] :
      ( ( denota1997846518gree_c @ ( sK15_SY2621 @ SV866 @ SV669 @ SV415 @ SV110 ) @ ( denota1896987029_a_b_c @ SV415 @ SV669 @ SV866 ) @ ( denota1293057250_a_b_c @ SV415 @ SV669 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[4267]) ).

thf(4537,plain,
    ( ( ( ord_less_eq_real @ zero_zero_real @ t )
      = $false )
    | ( ( ( ( produc394644079real_c @ aa @ ba )
         != ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
        | ~ ( initia1631504802real_c @ sol
            @ ^ [SX0: real] : ( denota1275485728_a_b_c @ i @ oDEa )
            @ ( set_or656347191t_real @ zero_zero_real @ t )
            @ ( collec230941376real_c
              @ ^ [SX0: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ SX0 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) )
        | ~ ( denota256060419gree_c @ ( sol @ zero_zero_real ) @ ab
            @ ( collect_c
              @ ^ [SX0: c] :
                  ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_BVO_a_c @ oDEa ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( static_FVO_a_c @ oDEa ) ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_FVF_a_b_c @ phi ) ) ) ) )
        | ( ab
          = ( finite557796307c_real
            @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
      = $true )
    | ( ( p = phi )
      = $false )
    | ( ( ode = oDEa )
      = $false )
    | ( ( fsafe_a_b_c @ phi )
      = $false )
    | ( ( osafe_a_c @ oDEa )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4268]) ).

thf(4538,plain,
    ! [SV670: produc190496183real_c,SV417: produc190496183real_c,SV112: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV112 @ ( set_or385782508real_c @ SV417 @ SV670 ) )
        = $true )
      | ( ( member1895684704real_c @ SV112 @ ( set_or385782508real_c @ SV417 @ SV670 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4269]) ).

thf(4539,plain,
    ! [SV670: produc190496183real_c,SV112: produc190496183real_c,SV417: produc190496183real_c] :
      ( ( ( ~ ( ~ ( ord_le850691415real_c @ SV417 @ SV112 )
              | ~ ( ord_le850691415real_c @ SV112 @ SV670 ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV112 @ ( set_or385782508real_c @ SV417 @ SV670 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4270]) ).

thf(4540,plain,
    ! [SV670: produc190496183real_c,SV112: produc190496183real_c,SV417: produc190496183real_c] :
      ( ( ( ord_le850691415real_c @ SV417 @ SV112 )
        = $false )
      | ( ( ~ ( ord_le850691415real_c @ SV112 @ SV670 ) )
        = $true )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV112 @ ( set_or385782508real_c @ SV417 @ SV670 ) )
              | ~ ~ ( ~ ( ord_le850691415real_c @ SV417 @ SV112 )
                    | ~ ( ord_le850691415real_c @ SV112 @ SV670 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4271]) ).

thf(4541,plain,
    ! [SV672: set_c,SV420: c > sum_sum_c_d,SV115: sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ SV115 @ ( image_c_Sum_sum_c_d @ SV420 @ SV672 ) )
        = $true )
      | ( ( member_Sum_sum_c_d @ SV115 @ ( image_c_Sum_sum_c_d @ SV420 @ SV672 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4272]) ).

thf(4542,plain,
    ! [SV420: c > sum_sum_c_d,SV115: sum_sum_c_d,SV672: set_c] :
      ( ( ( ~ ! [SY2406: c] :
                ~ ~ ( ~ ( member_c @ SY2406 @ SV672 )
                    | ( SV115
                     != ( SV420 @ SY2406 ) ) ) )
        = $true )
      | ( ( member_Sum_sum_c_d @ SV115 @ ( image_c_Sum_sum_c_d @ SV420 @ SV672 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4273]) ).

thf(4543,plain,
    ! [SV420: c > sum_sum_c_d,SV115: sum_sum_c_d,SV672: set_c,SV974: c] :
      ( ( ( ~ ( ~ ( member_c @ SV974 @ SV672 )
              | ( SV115
               != ( SV420 @ SV974 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( member_Sum_sum_c_d @ SV115 @ ( image_c_Sum_sum_c_d @ SV420 @ SV672 ) )
              | ~ ~ ! [SY2406: c] :
                      ~ ~ ( ~ ( member_c @ SY2406 @ SV672 )
                          | ( SV115
                           != ( SV420 @ SY2406 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4274]) ).

thf(4544,plain,
    ! [SV674: real,SV422: real,SV117: real] :
      ( ( ( member_real @ SV117 @ ( set_or656347191t_real @ SV422 @ SV674 ) )
        = $true )
      | ( ( member_real @ SV117 @ ( set_or656347191t_real @ SV422 @ SV674 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4275]) ).

thf(4545,plain,
    ! [SV674: real,SV117: real,SV422: real] :
      ( ( ( ~ ( ~ ( ord_less_eq_real @ SV422 @ SV117 )
              | ~ ( ord_less_eq_real @ SV117 @ SV674 ) ) )
        = $true )
      | ( ( member_real @ SV117 @ ( set_or656347191t_real @ SV422 @ SV674 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4276]) ).

thf(4546,plain,
    ! [SV674: real,SV117: real,SV422: real] :
      ( ( ( ord_less_eq_real @ SV422 @ SV117 )
        = $false )
      | ( ( ~ ( ord_less_eq_real @ SV117 @ SV674 ) )
        = $true )
      | ( ( ~ ( ~ ( member_real @ SV117 @ ( set_or656347191t_real @ SV422 @ SV674 ) )
              | ~ ~ ( ~ ( ord_less_eq_real @ SV422 @ SV117 )
                    | ~ ( ord_less_eq_real @ SV117 @ SV674 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4277]) ).

thf(4547,plain,
    ! [SV961: set_c,SV868: finite1398487019real_c,SV424: finite1398487019real_c] :
      ( ( ( denota256060419gree_c @ SV424 @ SV868 @ SV961 )
        = $false )
      | ( ( ~ ( ~ ( denota256060419gree_c @ SV424 @ SV868 @ SV961 )
              | ~ ! [SY2672: c] :
                    ( ~ ( member_c @ SY2672 @ SV961 )
                    | ( ( finite772340578real_c @ SV424 @ SY2672 )
                      = ( finite772340578real_c @ SV868 @ SY2672 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4280]) ).

thf(4548,plain,
    ! [SV868: finite1398487019real_c,SV424: finite1398487019real_c,SV961: set_c] :
      ( ( ( ! [SY2672: c] :
              ( ~ ( member_c @ SY2672 @ SV961 )
              | ( ( finite772340578real_c @ SV424 @ SY2672 )
                = ( finite772340578real_c @ SV868 @ SY2672 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( denota256060419gree_c @ SV424 @ SV868 @ SV961 )
              | ~ ! [SY2672: c] :
                    ( ~ ( member_c @ SY2672 @ SV961 )
                    | ( ( finite772340578real_c @ SV424 @ SY2672 )
                      = ( finite772340578real_c @ SV868 @ SY2672 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4280]) ).

thf(4549,plain,
    ! [SV869: set_Sum_sum_c_d,SV430: set_Sum_sum_c_d] :
      ( ( ( ~ ( ord_le764260924um_c_d @ SV430 @ SV869 ) )
        = $false )
      | ( ( ord_le764260924um_c_d @ SV430 @ SV869 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4281]) ).

thf(4550,plain,
    ! [SV869: set_Sum_sum_c_d,SV430: set_Sum_sum_c_d] :
      ( ( ( ~ ! [SY2624: sum_sum_c_d] :
                ( ~ ( member_Sum_sum_c_d @ SY2624 @ SV430 )
                | ( member_Sum_sum_c_d @ SY2624 @ SV869 ) ) )
        = $false )
      | ( ( ord_le764260924um_c_d @ SV430 @ SV869 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4281]) ).

thf(4551,plain,
    ! [SV430: set_Sum_sum_c_d,SV869: set_Sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_d @ ( sK84_SY2624 @ SV869 @ SV430 ) @ SV430 ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le764260924um_c_d @ SV430 @ SV869 )
              | ~ ! [SY2624: sum_sum_c_d] :
                    ( ~ ( member_Sum_sum_c_d @ SY2624 @ SV430 )
                    | ( member_Sum_sum_c_d @ SY2624 @ SV869 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4282]) ).

thf(4552,plain,
    ! [SV430: set_Sum_sum_c_d,SV869: set_Sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ ( sK84_SY2624 @ SV869 @ SV430 ) @ SV869 )
        = $false )
      | ( ( ~ ( ~ ( ord_le764260924um_c_d @ SV430 @ SV869 )
              | ~ ! [SY2624: sum_sum_c_d] :
                    ( ~ ( member_Sum_sum_c_d @ SY2624 @ SV430 )
                    | ( member_Sum_sum_c_d @ SY2624 @ SV869 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4282]) ).

thf(4553,plain,
    ! [SV129: c > sum_sum_c_c,SV683: sum_sum_c_c > $o,SV434: set_c,SV975: c] :
      ( ( ( ~ ( member_c @ SV975 @ SV434 ) )
        = $true )
      | ( ( SV683 @ ( SV129 @ SV975 ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sK20_SY2418 @ SV683 @ SV434 @ SV129 ) @ ( image_c_Sum_sum_c_c @ SV129 @ SV434 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4283]) ).

thf(4554,plain,
    ! [SV129: c > sum_sum_c_c,SV683: sum_sum_c_c > $o,SV434: set_c,SV971: c] :
      ( ( ( member_c @ SV971 @ SV434 )
        = $false )
      | ( ( SV683 @ ( SV129 @ SV971 ) )
        = $true )
      | ( ( SV683 @ ( sK20_SY2418 @ SV683 @ SV434 @ SV129 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4284]) ).

thf(4555,plain,
    ! [SV871: set_re2066790124real_c,SV437: set_re2066790124real_c] :
      ( ( ( ~ ( ord_le35002188real_c @ SV437 @ SV871 ) )
        = $false )
      | ( ( ord_le35002188real_c @ SV437 @ SV871 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4285]) ).

thf(4556,plain,
    ! [SV871: set_re2066790124real_c,SV437: set_re2066790124real_c] :
      ( ( ( ~ ! [SY2625: real > finite1398487019real_c] :
                ( ~ ( member1321351885real_c @ SY2625 @ SV437 )
                | ( member1321351885real_c @ SY2625 @ SV871 ) ) )
        = $false )
      | ( ( ord_le35002188real_c @ SV437 @ SV871 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4285]) ).

thf(4557,plain,
    ! [SV437: set_re2066790124real_c,SV871: set_re2066790124real_c] :
      ( ( ( ~ ( member1321351885real_c @ ( sK85_SY2625 @ SV871 @ SV437 ) @ SV437 ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le35002188real_c @ SV437 @ SV871 )
              | ~ ! [SY2625: real > finite1398487019real_c] :
                    ( ~ ( member1321351885real_c @ SY2625 @ SV437 )
                    | ( member1321351885real_c @ SY2625 @ SV871 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4286]) ).

thf(4558,plain,
    ! [SV437: set_re2066790124real_c,SV871: set_re2066790124real_c] :
      ( ( ( member1321351885real_c @ ( sK85_SY2625 @ SV871 @ SV437 ) @ SV871 )
        = $false )
      | ( ( ~ ( ~ ( ord_le35002188real_c @ SV437 @ SV871 )
              | ~ ! [SY2625: real > finite1398487019real_c] :
                    ( ~ ( member1321351885real_c @ SY2625 @ SV437 )
                    | ( member1321351885real_c @ SY2625 @ SV871 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4286]) ).

thf(4559,plain,
    ! [SV688: c > set_Sum_sum_c_d,SV134: c > sum_sum_c_d,SV439: set_c,SV873: c] :
      ( ( ( member_c @ SV873 @ SV439 )
        = $false )
      | ( ( member_Sum_sum_c_d @ ( SV134 @ SV873 ) @ ( SV688 @ SV873 ) )
        = $true )
      | ( ( member_c_Sum_sum_c_d @ SV134 @ ( pi_c_Sum_sum_c_d @ SV439 @ SV688 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4287]) ).

thf(4560,plain,
    ! [SV442: finite1398487019real_c > $o,SV137: finite1398487019real_c > $o] :
      ( ( ( SV137 @ ( sK6_SY2016 @ SV442 @ SV137 ) )
        = $false )
      | ( ( ~ ( SV442 @ ( sK6_SY2016 @ SV442 @ SV137 ) ) )
        = $true )
      | ( ( ( collec230941376real_c @ SV137 )
          = ( collec230941376real_c @ SV442 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4289]) ).

thf(4561,plain,
    ! [SV446: finite1398487019real_c > $o,SV982: finite1398487019real_c,SV141: finite1398487019real_c > $o] :
      ( ( ( ~ ( SV141 @ SV982 )
          | ( SV446 @ SV982 ) )
        = $true )
      | ( ( ord_le1327118209real_c @ ( collec230941376real_c @ SV141 ) @ ( collec230941376real_c @ SV446 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[4293]) ).

thf(4562,plain,
    ! [SV446: finite1398487019real_c > $o,SV141: finite1398487019real_c > $o] :
      ( ( ( ~ ( ord_le1327118209real_c @ ( collec230941376real_c @ SV141 ) @ ( collec230941376real_c @ SV446 ) )
          | ~ ! [SY2024: finite1398487019real_c] :
                ( ~ ( SV141 @ SY2024 )
                | ( SV446 @ SY2024 ) ) )
        = $false )
      | ( ( SV141 @ ( sK64_SY2024 @ SV446 @ SV141 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4294]) ).

thf(4563,plain,
    ! [SV446: finite1398487019real_c > $o,SV141: finite1398487019real_c > $o] :
      ( ( ( ~ ( ord_le1327118209real_c @ ( collec230941376real_c @ SV141 ) @ ( collec230941376real_c @ SV446 ) ) )
        = $false )
      | ( ( SV446 @ ( sK64_SY2024 @ SV446 @ SV141 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4295]) ).

thf(4564,plain,
    ! [SV446: finite1398487019real_c > $o,SV141: finite1398487019real_c > $o] :
      ( ( ( ~ ! [SY2024: finite1398487019real_c] :
                ( ~ ( SV141 @ SY2024 )
                | ( SV446 @ SY2024 ) ) )
        = $false )
      | ( ( SV446 @ ( sK64_SY2024 @ SV446 @ SV141 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4295]) ).

thf(4565,plain,
    ! [SV693: real > finite1398487019real_c,SV875: real > set_Fi1407883041real_c,SV143: set_real,SV448: real > finite1398487019real_c] :
      ( ( ( ~ ( ( member1321351885real_c @ SV448 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) )
              | ( member1321351885real_c @ SV693 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) ) )
          | ~ ( ~ ( member1321351885real_c @ SV448 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) )
              | ~ ( member1321351885real_c @ SV693 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) ) ) )
        = $true )
      | ( ( member_real @ ( sK66_SY2432 @ SV875 @ SV693 @ SV448 @ SV143 ) @ SV143 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[4298]) ).

thf(4566,plain,
    ! [SV693: real > finite1398487019real_c,SV875: real > set_Fi1407883041real_c,SV143: set_real,SV448: real > finite1398487019real_c] :
      ( ( ( ( member1321351885real_c @ SV448 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) )
          = ( member1321351885real_c @ SV693 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) ) )
        = $true )
      | ( ( member_real @ ( sK66_SY2432 @ SV875 @ SV693 @ SV448 @ SV143 ) @ SV143 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[4298]) ).

thf(4567,plain,
    ! [SV693: real > finite1398487019real_c,SV875: real > set_Fi1407883041real_c,SV143: set_real,SV448: real > finite1398487019real_c] :
      ( ( ( ~ ( ( member1321351885real_c @ SV448 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) )
              | ( member1321351885real_c @ SV693 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( member1321351885real_c @ SV448 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) )
              | ~ ( member1321351885real_c @ SV693 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) ) ) )
        = $true )
      | ( ( ( SV448 @ ( sK66_SY2432 @ SV875 @ SV693 @ SV448 @ SV143 ) )
          = ( SV693 @ ( sK66_SY2432 @ SV875 @ SV693 @ SV448 @ SV143 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4299]) ).

thf(4568,plain,
    ! [SV695: sum_sum_c_c > set_Sum_sum_c_d,SV145: sum_sum_c_c > sum_sum_c_d,SV450: set_Sum_sum_c_c,SV876: sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ SV876 @ SV450 )
        = $false )
      | ( ( member_Sum_sum_c_d @ ( SV145 @ SV876 ) @ ( SV695 @ SV876 ) )
        = $true )
      | ( ( member318754689um_c_d @ SV145 @ ( pi_Sum261268376um_c_d @ SV450 @ SV695 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4301]) ).

thf(4569,plain,
    ! [SV696: real > set_Fi1407883041real_c,SV146: real > finite1398487019real_c,SV451: set_real,SV877: real] :
      ( ( ( member_real @ SV877 @ SV451 )
        = $false )
      | ( ( member1261661570real_c @ ( SV146 @ SV877 ) @ ( SV696 @ SV877 ) )
        = $true )
      | ( ( member1321351885real_c @ SV146 @ ( pi_rea1111636068real_c @ SV451 @ SV696 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4302]) ).

thf(4570,plain,
    ! [SV699: set_Sum_sum_c_d,SV454: set_c,SV150: c > sum_sum_c_d] :
      ( ( ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV150 @ SV454 ) @ SV699 )
        = $true )
      | ( ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV150 @ SV454 ) @ SV699 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4303]) ).

thf(4571,plain,
    ! [SV699: set_Sum_sum_c_d,SV150: c > sum_sum_c_d,SV454: set_c] :
      ( ( ( ! [SY2440: c] :
              ( ~ ( member_c @ SY2440 @ SV454 )
              | ( member_Sum_sum_c_d @ ( SV150 @ SY2440 ) @ SV699 ) ) )
        = $true )
      | ( ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV150 @ SV454 ) @ SV699 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4304]) ).

thf(4572,plain,
    ! [SV454: set_c,SV150: c > sum_sum_c_d,SV699: set_Sum_sum_c_d] :
      ( ( ( member_c @ ( sK78_SY2440 @ SV699 @ SV150 @ SV454 ) @ SV454 )
        = $true )
      | ( ( ~ ( ~ ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV150 @ SV454 ) @ SV699 )
              | ~ ! [SY2440: c] :
                    ( ~ ( member_c @ SY2440 @ SV454 )
                    | ( member_Sum_sum_c_d @ ( SV150 @ SY2440 ) @ SV699 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4305]) ).

thf(4573,plain,
    ! [SV699: set_Sum_sum_c_d,SV454: set_c,SV150: c > sum_sum_c_d] :
      ( ( ( ~ ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV150 @ SV454 ) @ SV699 )
          | ~ ! [SY2440: c] :
                ( ~ ( member_c @ SY2440 @ SV454 )
                | ( member_Sum_sum_c_d @ ( SV150 @ SY2440 ) @ SV699 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_d @ ( SV150 @ ( sK78_SY2440 @ SV699 @ SV150 @ SV454 ) ) @ SV699 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4306]) ).

thf(4574,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) ) )
        = $false )
      | ( ( ~ ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
               != ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
              | ~ ~ ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
                        | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
                    | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
                        | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4307]) ).

thf(4575,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) ) )
        = $false )
      | ( ( ~ ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
               != ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
              | ~ ~ ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
                        | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
                    | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
                        | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4307]) ).

thf(4576,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
           != ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
          | ~ ~ ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
                    | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
                | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
                    | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) ) )
        = $false )
      | ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          = ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4308]) ).

thf(4577,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
              | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) )
        = $true )
      | ( ( ~ ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
               != ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
              | ~ ~ ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
                        | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
                    | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
                        | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4309]) ).

thf(4578,plain,
    ! [SV702: sum_sum_c_d > set_Sum_sum_c_c,SV155: sum_sum_c_d > sum_sum_c_c,SV459: set_Sum_sum_c_d,SV882: sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ SV882 @ SV459 )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( SV155 @ SV882 ) @ ( SV702 @ SV882 ) )
        = $true )
      | ( ( member71251457um_c_c @ SV155 @ ( pi_Sum1145067928um_c_c @ SV459 @ SV702 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4310]) ).

thf(4579,plain,
    ! [SV706: set_Sum_sum_c_c,SV465: set_c,SV161: c > sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV161 @ SV465 ) @ SV706 )
        = $true )
      | ( ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV161 @ SV465 ) @ SV706 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4311]) ).

thf(4580,plain,
    ! [SV706: set_Sum_sum_c_c,SV161: c > sum_sum_c_c,SV465: set_c] :
      ( ( ( ! [SY2448: c] :
              ( ~ ( member_c @ SY2448 @ SV465 )
              | ( member_Sum_sum_c_c @ ( SV161 @ SY2448 ) @ SV706 ) ) )
        = $true )
      | ( ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV161 @ SV465 ) @ SV706 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4312]) ).

thf(4581,plain,
    ! [SV465: set_c,SV161: c > sum_sum_c_c,SV706: set_Sum_sum_c_c] :
      ( ( ( member_c @ ( sK79_SY2448 @ SV706 @ SV161 @ SV465 ) @ SV465 )
        = $true )
      | ( ( ~ ( ~ ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV161 @ SV465 ) @ SV706 )
              | ~ ! [SY2448: c] :
                    ( ~ ( member_c @ SY2448 @ SV465 )
                    | ( member_Sum_sum_c_c @ ( SV161 @ SY2448 ) @ SV706 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4313]) ).

thf(4582,plain,
    ! [SV706: set_Sum_sum_c_c,SV465: set_c,SV161: c > sum_sum_c_c] :
      ( ( ( ~ ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV161 @ SV465 ) @ SV706 )
          | ~ ! [SY2448: c] :
                ( ~ ( member_c @ SY2448 @ SV465 )
                | ( member_Sum_sum_c_c @ ( SV161 @ SY2448 ) @ SV706 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( SV161 @ ( sK79_SY2448 @ SV706 @ SV161 @ SV465 ) ) @ SV706 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4314]) ).

thf(4583,plain,
    ! [SV883: real,SV708: real,SV467: real,SV163: real] :
      ( ( ( ( set_or656347191t_real @ SV163 @ SV467 )
         != ( set_or656347191t_real @ SV708 @ SV883 ) )
        = $false )
      | ( ( ( set_or656347191t_real @ SV163 @ SV467 )
          = ( set_or656347191t_real @ SV708 @ SV883 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4315]) ).

thf(4584,plain,
    ! [SV883: real,SV467: real,SV708: real,SV163: real] :
      ( ( ( ~ ( ~ ( ( SV163 != SV708 )
                  | ( SV467 != SV883 ) )
              | ~ ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 )
                  | ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) ) ) )
        = $false )
      | ( ( ( set_or656347191t_real @ SV163 @ SV467 )
          = ( set_or656347191t_real @ SV708 @ SV883 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4315]) ).

thf(4585,plain,
    ! [SV883: real,SV467: real,SV708: real,SV163: real] :
      ( ( ( ( SV163 != SV708 )
          | ( SV467 != SV883 ) )
        = $true )
      | ( ( ~ ( ( ( set_or656347191t_real @ SV163 @ SV467 )
               != ( set_or656347191t_real @ SV708 @ SV883 ) )
              | ~ ( ~ ( ( SV163 != SV708 )
                      | ( SV467 != SV883 ) )
                  | ~ ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 )
                      | ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4316]) ).

thf(4586,plain,
    ! [SV883: real,SV708: real,SV467: real,SV163: real] :
      ( ( ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 )
          | ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) )
        = $true )
      | ( ( ~ ( ( ( set_or656347191t_real @ SV163 @ SV467 )
               != ( set_or656347191t_real @ SV708 @ SV883 ) )
              | ~ ( ~ ( ( SV163 != SV708 )
                      | ( SV467 != SV883 ) )
                  | ~ ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 )
                      | ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4317]) ).

thf(4587,plain,
    ! [SV962: set_Sum_sum_c_c,SV886: produc190496183real_c,SV481: produc190496183real_c] :
      ( ( ( denota1997846518gree_c @ SV481 @ SV886 @ SV962 )
        = $false )
      | ( ( ~ ( ~ ( denota1997846518gree_c @ SV481 @ SV886 @ SV962 )
              | ~ ~ ( ~ ! [SY2673: c] :
                          ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2673 ) @ SV962 )
                          | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2673 )
                            = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2673 ) ) )
                    | ~ ! [SY2674: c] :
                          ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
                          | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                            = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4318]) ).

thf(4588,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c] :
      ( ( ( ~ ( ~ ! [SY2673: c] :
                    ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2673 ) @ SV962 )
                    | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2673 )
                      = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2673 ) ) )
              | ~ ! [SY2674: c] :
                    ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
                    | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                      = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( denota1997846518gree_c @ SV481 @ SV886 @ SV962 )
              | ~ ~ ( ~ ! [SY2673: c] :
                          ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2673 ) @ SV962 )
                          | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2673 )
                            = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2673 ) ) )
                    | ~ ! [SY2674: c] :
                          ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
                          | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                            = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4318]) ).

thf(4589,plain,
    ( ( ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
      = $false )
    | ( ( ( finite772340578real_c
          @ ( produc2010422875real_c
            @ ( denota161327353_a_b_c @ i @ oDEa
              @ ( produc394644079real_c
                @ ( finite557796307c_real
                  @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                @ bb )
              @ ( finite557796307c_real
                @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
          @ i2 )
        = ( finite772340578real_c @ ( sol @ x ) @ i2 ) )
      = $true )
    | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4319]) ).

thf(4590,plain,
    ( ( ( ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) ) )
      = $false )
    | ( ( ( finite772340578real_c
          @ ( produc2010422875real_c
            @ ( denota161327353_a_b_c @ i @ oDEa
              @ ( produc394644079real_c
                @ ( finite557796307c_real
                  @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                @ bb )
              @ ( finite557796307c_real
                @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
          @ i2 )
        = ( finite772340578real_c @ ab @ i2 ) )
      = $true )
    | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4320]) ).

thf(4591,plain,
    ( ( ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
      = $false )
    | ( ( ( finite772340578real_c
          @ ( produc2010422875real_c
            @ ( denota161327353_a_b_c @ i @ oDEa
              @ ( produc394644079real_c
                @ ( finite557796307c_real
                  @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                @ bb )
              @ ( finite557796307c_real
                @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
          @ i2 )
        = ( finite772340578real_c @ ( sol @ x ) @ i2 ) )
      = $true )
    | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4321]) ).

thf(4592,plain,
    ( ( ( ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) ) )
      = $false )
    | ( ( ( finite772340578real_c
          @ ( produc2010422875real_c
            @ ( denota161327353_a_b_c @ i @ oDEa
              @ ( produc394644079real_c
                @ ( finite557796307c_real
                  @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                @ bb )
              @ ( finite557796307c_real
                @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
          @ i2 )
        = ( finite772340578real_c @ ab @ i2 ) )
      = $true )
    | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4322]) ).

thf(4593,plain,
    ! [SV887: finite1398487019real_c,SV724: finite1398487019real_c,SV487: finite1398487019real_c,SV184: finite1398487019real_c] :
      ( ( ( ( produc394644079real_c @ SV184 @ SV487 )
         != ( produc394644079real_c @ SV724 @ SV887 ) )
        = $false )
      | ( ( ( produc394644079real_c @ SV184 @ SV487 )
          = ( produc394644079real_c @ SV724 @ SV887 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4325]) ).

thf(4594,plain,
    ! [SV887: finite1398487019real_c,SV487: finite1398487019real_c,SV724: finite1398487019real_c,SV184: finite1398487019real_c] :
      ( ( ( ~ ~ ( ( SV184 != SV724 )
                | ( SV487 != SV887 ) ) )
        = $false )
      | ( ( ( produc394644079real_c @ SV184 @ SV487 )
          = ( produc394644079real_c @ SV724 @ SV887 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4325]) ).

thf(4595,plain,
    ! [SV887: finite1398487019real_c,SV487: finite1398487019real_c,SV724: finite1398487019real_c,SV184: finite1398487019real_c] :
      ( ( ( SV184 != SV724 )
        = $true )
      | ( ( SV487 != SV887 )
        = $true )
      | ( ( ~ ( ( ( produc394644079real_c @ SV184 @ SV487 )
               != ( produc394644079real_c @ SV724 @ SV887 ) )
              | ~ ~ ( ( SV184 != SV724 )
                    | ( SV487 != SV887 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4326]) ).

thf(4596,plain,
    ! [SV889: set_Sum_sum_c_c,SV494: set_Sum_sum_c_c] :
      ( ( ( ~ ( ord_le1772180283um_c_c @ SV494 @ SV889 ) )
        = $false )
      | ( ( ord_le1772180283um_c_c @ SV494 @ SV889 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4327]) ).

thf(4597,plain,
    ! [SV889: set_Sum_sum_c_c,SV494: set_Sum_sum_c_c] :
      ( ( ( ~ ! [SY2635: sum_sum_c_c] :
                ( ~ ( member_Sum_sum_c_c @ SY2635 @ SV494 )
                | ( member_Sum_sum_c_c @ SY2635 @ SV889 ) ) )
        = $false )
      | ( ( ord_le1772180283um_c_c @ SV494 @ SV889 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4327]) ).

thf(4598,plain,
    ! [SV494: set_Sum_sum_c_c,SV889: set_Sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sK86_SY2635 @ SV889 @ SV494 ) @ SV494 ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV494 @ SV889 )
              | ~ ! [SY2635: sum_sum_c_c] :
                    ( ~ ( member_Sum_sum_c_c @ SY2635 @ SV494 )
                    | ( member_Sum_sum_c_c @ SY2635 @ SV889 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4328]) ).

thf(4599,plain,
    ! [SV494: set_Sum_sum_c_c,SV889: set_Sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ ( sK86_SY2635 @ SV889 @ SV494 ) @ SV889 )
        = $false )
      | ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV494 @ SV889 )
              | ~ ! [SY2635: sum_sum_c_c] :
                    ( ~ ( member_Sum_sum_c_c @ SY2635 @ SV494 )
                    | ( member_Sum_sum_c_c @ SY2635 @ SV889 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4328]) ).

thf(4600,plain,
    ! [SV892: set_Sum_sum_c_c,SV501: set_Sum_sum_c_c] :
      ( ( ( ~ ( ord_le1772180283um_c_c @ SV501 @ SV892 ) )
        = $false )
      | ( ( ord_le1772180283um_c_c @ SV501 @ SV892 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4331]) ).

thf(4601,plain,
    ! [SV892: set_Sum_sum_c_c,SV501: set_Sum_sum_c_c] :
      ( ( ( ~ ! [SY2636: sum_sum_c_c] :
                ( ~ ( member_Sum_sum_c_c @ SY2636 @ SV501 )
                | ( member_Sum_sum_c_c @ SY2636 @ SV892 ) ) )
        = $false )
      | ( ( ord_le1772180283um_c_c @ SV501 @ SV892 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4331]) ).

thf(4602,plain,
    ! [SV501: set_Sum_sum_c_c,SV892: set_Sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sK87_SY2636 @ SV892 @ SV501 ) @ SV501 ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV501 @ SV892 )
              | ~ ! [SY2636: sum_sum_c_c] :
                    ( ~ ( member_Sum_sum_c_c @ SY2636 @ SV501 )
                    | ( member_Sum_sum_c_c @ SY2636 @ SV892 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4332]) ).

thf(4603,plain,
    ! [SV501: set_Sum_sum_c_c,SV892: set_Sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ ( sK87_SY2636 @ SV892 @ SV501 ) @ SV892 )
        = $false )
      | ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV501 @ SV892 )
              | ~ ! [SY2636: sum_sum_c_c] :
                    ( ~ ( member_Sum_sum_c_c @ SY2636 @ SV501 )
                    | ( member_Sum_sum_c_c @ SY2636 @ SV892 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4332]) ).

thf(4604,plain,
    ! [SV736: sum_sum_c_d > set_c,SV200: sum_sum_c_d > c,SV503: set_Sum_sum_c_d,SV893: sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ SV893 @ SV503 )
        = $false )
      | ( ( member_c @ ( SV200 @ SV893 ) @ ( SV736 @ SV893 ) )
        = $true )
      | ( ( member_Sum_sum_c_d_c @ SV200 @ ( pi_Sum_sum_c_d_c @ SV503 @ SV736 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4333]) ).

thf(4605,plain,
    ! [SV899: set_c,SV514: set_c] :
      ( ( ( ~ ( ord_less_eq_set_c @ SV514 @ SV899 ) )
        = $false )
      | ( ( ord_less_eq_set_c @ SV514 @ SV899 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4334]) ).

thf(4606,plain,
    ! [SV899: set_c,SV514: set_c] :
      ( ( ( ~ ! [SY2637: c] :
                ( ~ ( member_c @ SY2637 @ SV514 )
                | ( member_c @ SY2637 @ SV899 ) ) )
        = $false )
      | ( ( ord_less_eq_set_c @ SV514 @ SV899 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4334]) ).

thf(4607,plain,
    ! [SV514: set_c,SV899: set_c] :
      ( ( ( ~ ( member_c @ ( sK88_SY2637 @ SV899 @ SV514 ) @ SV514 ) )
        = $false )
      | ( ( ~ ( ~ ( ord_less_eq_set_c @ SV514 @ SV899 )
              | ~ ! [SY2637: c] :
                    ( ~ ( member_c @ SY2637 @ SV514 )
                    | ( member_c @ SY2637 @ SV899 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4335]) ).

thf(4608,plain,
    ! [SV514: set_c,SV899: set_c] :
      ( ( ( member_c @ ( sK88_SY2637 @ SV899 @ SV514 ) @ SV899 )
        = $false )
      | ( ( ~ ( ~ ( ord_less_eq_set_c @ SV514 @ SV899 )
              | ~ ! [SY2637: c] :
                    ( ~ ( member_c @ SY2637 @ SV514 )
                    | ( member_c @ SY2637 @ SV899 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4335]) ).

thf(4609,plain,
    ! [SV745: real > finite1398487019real_c,SV515: real > finite1398487019real_c,SV212: real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ SV212 @ ( set_or1308937537real_c @ SV515 @ SV745 ) )
        = $true )
      | ( ( member1321351885real_c @ SV212 @ ( set_or1308937537real_c @ SV515 @ SV745 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4336]) ).

thf(4610,plain,
    ! [SV745: real > finite1398487019real_c,SV212: real > finite1398487019real_c,SV515: real > finite1398487019real_c] :
      ( ( ( ~ ( ~ ( ord_le584953750real_c @ SV515 @ SV212 )
              | ~ ( ord_le584953750real_c @ SV212 @ SV745 ) ) )
        = $true )
      | ( ( member1321351885real_c @ SV212 @ ( set_or1308937537real_c @ SV515 @ SV745 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4337]) ).

thf(4611,plain,
    ! [SV745: real > finite1398487019real_c,SV212: real > finite1398487019real_c,SV515: real > finite1398487019real_c] :
      ( ( ( ord_le584953750real_c @ SV515 @ SV212 )
        = $false )
      | ( ( ~ ( ord_le584953750real_c @ SV212 @ SV745 ) )
        = $true )
      | ( ( ~ ( ~ ( member1321351885real_c @ SV212 @ ( set_or1308937537real_c @ SV515 @ SV745 ) )
              | ~ ~ ( ~ ( ord_le584953750real_c @ SV515 @ SV212 )
                    | ~ ( ord_le584953750real_c @ SV212 @ SV745 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4338]) ).

thf(4612,plain,
    ! [SV213: c > sum_sum_c_d,SV746: sum_sum_c_d > $o,SV516: set_c,SV976: c] :
      ( ( ( ~ ( member_c @ SV976 @ SV516 ) )
        = $true )
      | ( ( SV746 @ ( SV213 @ SV976 ) )
        = $true )
      | ( ( member_Sum_sum_c_d @ ( sK38_SY2489 @ SV746 @ SV516 @ SV213 ) @ ( image_c_Sum_sum_c_d @ SV213 @ SV516 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4339]) ).

thf(4613,plain,
    ! [SV213: c > sum_sum_c_d,SV746: sum_sum_c_d > $o,SV516: set_c,SV972: c] :
      ( ( ( member_c @ SV972 @ SV516 )
        = $false )
      | ( ( SV746 @ ( SV213 @ SV972 ) )
        = $true )
      | ( ( SV746 @ ( sK38_SY2489 @ SV746 @ SV516 @ SV213 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4340]) ).

thf(4614,plain,
    ! [SV747: set_c,SV517: c > sum_sum_c_c,SV214: sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ SV214 @ ( image_c_Sum_sum_c_c @ SV517 @ SV747 ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ SV214 @ ( image_c_Sum_sum_c_c @ SV517 @ SV747 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4341]) ).

thf(4615,plain,
    ! [SV517: c > sum_sum_c_c,SV214: sum_sum_c_c,SV747: set_c] :
      ( ( ( ~ ! [SY2491: c] :
                ~ ~ ( ~ ( member_c @ SY2491 @ SV747 )
                    | ( SV214
                     != ( SV517 @ SY2491 ) ) ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ SV214 @ ( image_c_Sum_sum_c_c @ SV517 @ SV747 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4342]) ).

thf(4616,plain,
    ! [SV517: c > sum_sum_c_c,SV214: sum_sum_c_c,SV747: set_c,SV977: c] :
      ( ( ( ~ ( ~ ( member_c @ SV977 @ SV747 )
              | ( SV214
               != ( SV517 @ SV977 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( member_Sum_sum_c_c @ SV214 @ ( image_c_Sum_sum_c_c @ SV517 @ SV747 ) )
              | ~ ~ ! [SY2491: c] :
                      ~ ~ ( ~ ( member_c @ SY2491 @ SV747 )
                          | ( SV214
                           != ( SV517 @ SY2491 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4343]) ).

thf(4617,plain,
    ( ( ( ~ ( ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
            | ( ( finite772340578real_c
                @ ( produc2010422875real_c
                  @ ( denota161327353_a_b_c @ i @ oDEa
                    @ ( produc394644079real_c
                      @ ( finite557796307c_real
                        @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                      @ bb )
                    @ ( finite557796307c_real
                      @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
                @ i2 )
              = ( finite772340578real_c @ ( sol @ zero_zero_real ) @ i2 ) ) ) )
      = $false )
    | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $true )
    | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4344]) ).

thf(4618,plain,
    ( ( ( ~ ( ~ ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
            | ( ( finite772340578real_c
                @ ( produc2010422875real_c
                  @ ( denota161327353_a_b_c @ i @ oDEa
                    @ ( produc394644079real_c
                      @ ( finite557796307c_real
                        @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                      @ bb )
                    @ ( finite557796307c_real
                      @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
                @ i2 )
              = ( finite772340578real_c @ ab @ i2 ) ) ) )
      = $false )
    | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $true )
    | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4344]) ).

thf(4619,plain,
    ! [SV524: set_c,SV754: c > sum_sum_c_c,SV903: c > sum_sum_c_c,SV221: set_c] :
      ( ( ( ~ ( member_c @ ( sK89_SY2638 @ SV221 @ SV903 @ SV754 @ SV524 ) @ SV524 ) )
        = $false )
      | ( ( ( image_c_Sum_sum_c_c @ SV754 @ SV221 )
          = ( image_c_Sum_sum_c_c @ SV903 @ SV524 ) )
        = $true )
      | ( ( SV221 = SV524 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4345]) ).

thf(4620,plain,
    ! [SV524: set_c,SV903: c > sum_sum_c_c,SV221: set_c,SV754: c > sum_sum_c_c] :
      ( ( ( ( SV754 @ ( sK89_SY2638 @ SV221 @ SV903 @ SV754 @ SV524 ) )
          = ( SV903 @ ( sK89_SY2638 @ SV221 @ SV903 @ SV754 @ SV524 ) ) )
        = $false )
      | ( ( ( image_c_Sum_sum_c_c @ SV754 @ SV221 )
          = ( image_c_Sum_sum_c_c @ SV903 @ SV524 ) )
        = $true )
      | ( ( SV221 = SV524 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4345]) ).

thf(4621,plain,
    ! [SV906: real,SV760: real,SV530: real,SV227: real] :
      ( ( ( ~ ( ord_le1342644953l_real @ ( produc705216881l_real @ SV227 @ SV530 ) @ ( produc705216881l_real @ SV760 @ SV906 ) ) )
        = $false )
      | ( ( ord_le1342644953l_real @ ( produc705216881l_real @ SV227 @ SV530 ) @ ( produc705216881l_real @ SV760 @ SV906 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4348]) ).

thf(4622,plain,
    ! [SV906: real,SV530: real,SV760: real,SV227: real] :
      ( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV227 @ SV760 )
                | ~ ( ord_less_eq_real @ SV530 @ SV906 ) ) )
        = $false )
      | ( ( ord_le1342644953l_real @ ( produc705216881l_real @ SV227 @ SV530 ) @ ( produc705216881l_real @ SV760 @ SV906 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4348]) ).

thf(4623,plain,
    ! [SV906: real,SV530: real,SV760: real,SV227: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV227 @ SV760 ) )
        = $true )
      | ( ( ~ ( ord_less_eq_real @ SV530 @ SV906 ) )
        = $true )
      | ( ( ~ ( ~ ( ord_le1342644953l_real @ ( produc705216881l_real @ SV227 @ SV530 ) @ ( produc705216881l_real @ SV760 @ SV906 ) )
              | ~ ~ ( ~ ( ord_less_eq_real @ SV227 @ SV760 )
                    | ~ ( ord_less_eq_real @ SV530 @ SV906 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4349]) ).

thf(4624,plain,
    ! [SV908: set_Sum_sum_c_d,SV534: set_Sum_sum_c_d] :
      ( ( ( ~ ( ord_le764260924um_c_d @ SV534 @ SV908 ) )
        = $false )
      | ( ( ord_le764260924um_c_d @ SV534 @ SV908 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4352]) ).

thf(4625,plain,
    ! [SV908: set_Sum_sum_c_d,SV534: set_Sum_sum_c_d] :
      ( ( ( ~ ! [SY2639: sum_sum_c_d] :
                ( ~ ( member_Sum_sum_c_d @ SY2639 @ SV534 )
                | ( member_Sum_sum_c_d @ SY2639 @ SV908 ) ) )
        = $false )
      | ( ( ord_le764260924um_c_d @ SV534 @ SV908 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4352]) ).

thf(4626,plain,
    ! [SV534: set_Sum_sum_c_d,SV908: set_Sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_d @ ( sK90_SY2639 @ SV908 @ SV534 ) @ SV534 ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le764260924um_c_d @ SV534 @ SV908 )
              | ~ ! [SY2639: sum_sum_c_d] :
                    ( ~ ( member_Sum_sum_c_d @ SY2639 @ SV534 )
                    | ( member_Sum_sum_c_d @ SY2639 @ SV908 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4353]) ).

thf(4627,plain,
    ! [SV534: set_Sum_sum_c_d,SV908: set_Sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ ( sK90_SY2639 @ SV908 @ SV534 ) @ SV908 )
        = $false )
      | ( ( ~ ( ~ ( ord_le764260924um_c_d @ SV534 @ SV908 )
              | ~ ! [SY2639: sum_sum_c_d] :
                    ( ~ ( member_Sum_sum_c_d @ SY2639 @ SV534 )
                    | ( member_Sum_sum_c_d @ SY2639 @ SV908 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4353]) ).

thf(4628,plain,
    ! [SV909: set_c,SV536: set_c] :
      ( ( ( ~ ( ord_less_eq_set_c @ SV536 @ SV909 ) )
        = $false )
      | ( ( ord_less_eq_set_c @ SV536 @ SV909 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4354]) ).

thf(4629,plain,
    ! [SV909: set_c,SV536: set_c] :
      ( ( ( ~ ! [SY2640: c] :
                ( ~ ( member_c @ SY2640 @ SV536 )
                | ( member_c @ SY2640 @ SV909 ) ) )
        = $false )
      | ( ( ord_less_eq_set_c @ SV536 @ SV909 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4354]) ).

thf(4630,plain,
    ! [SV536: set_c,SV909: set_c] :
      ( ( ( ~ ( member_c @ ( sK91_SY2640 @ SV909 @ SV536 ) @ SV536 ) )
        = $false )
      | ( ( ~ ( ~ ( ord_less_eq_set_c @ SV536 @ SV909 )
              | ~ ! [SY2640: c] :
                    ( ~ ( member_c @ SY2640 @ SV536 )
                    | ( member_c @ SY2640 @ SV909 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4355]) ).

thf(4631,plain,
    ! [SV536: set_c,SV909: set_c] :
      ( ( ( member_c @ ( sK91_SY2640 @ SV909 @ SV536 ) @ SV909 )
        = $false )
      | ( ( ~ ( ~ ( ord_less_eq_set_c @ SV536 @ SV909 )
              | ~ ! [SY2640: c] :
                    ( ~ ( member_c @ SY2640 @ SV536 )
                    | ( member_c @ SY2640 @ SV909 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4355]) ).

thf(4632,plain,
    ! [SV767: sum_sum_c_c > $o,SV538: set_c,SV235: c > sum_sum_c_c,SV966: sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ SV966 @ ( image_c_Sum_sum_c_c @ SV235 @ SV538 ) ) )
        = $true )
      | ( ( ~ ( SV767 @ SV966 ) )
        = $true )
      | ( ( ~ ! [SY2511: c] :
                ~ ~ ( ~ ( member_c @ SY2511 @ SV538 )
                    | ~ ( SV767 @ ( SV235 @ SY2511 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4358]) ).

thf(4633,plain,
    ! [SV542: c > real > finite1398487019real_c,SV239: real > finite1398487019real_c,SV911: set_c,SV770: c] :
      ( ( ( member_c @ SV770 @ SV911 )
        = $false )
      | ( ( member1321351885real_c @ SV239 @ ( image_1226855921real_c @ SV542 @ SV911 ) )
        = $true )
      | ( ( ( SV239 @ ( sK80_SV967 @ SV911 @ SV770 @ SV542 @ SV239 ) )
          = ( SV542 @ SV770 @ ( sK80_SV967 @ SV911 @ SV770 @ SV542 @ SV239 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4359]) ).

thf(4634,plain,
    ! [SV914: produc190496183real_c,SV548: produc190496183real_c] :
      ( ( ( ~ ( ord_le850691415real_c @ SV548 @ SV914 ) )
        = $false )
      | ( ( ord_le850691415real_c @ SV548 @ SV914 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4361]) ).

thf(4635,plain,
    ! [SV914: produc190496183real_c,SV548: produc190496183real_c] :
      ( ( ( ~ ~ ( ~ ( ord_le775706699real_c @ ( produc2010422875real_c @ SV548 ) @ ( produc2010422875real_c @ SV914 ) )
                | ~ ( ord_le775706699real_c @ ( produc314122909real_c @ SV548 ) @ ( produc314122909real_c @ SV914 ) ) ) )
        = $false )
      | ( ( ord_le850691415real_c @ SV548 @ SV914 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4361]) ).

thf(4636,plain,
    ! [SV914: produc190496183real_c,SV548: produc190496183real_c] :
      ( ( ( ~ ( ord_le775706699real_c @ ( produc2010422875real_c @ SV548 ) @ ( produc2010422875real_c @ SV914 ) ) )
        = $true )
      | ( ( ~ ( ord_le775706699real_c @ ( produc314122909real_c @ SV548 ) @ ( produc314122909real_c @ SV914 ) ) )
        = $true )
      | ( ( ~ ( ~ ( ord_le850691415real_c @ SV548 @ SV914 )
              | ~ ~ ( ~ ( ord_le775706699real_c @ ( produc2010422875real_c @ SV548 ) @ ( produc2010422875real_c @ SV914 ) )
                    | ~ ( ord_le775706699real_c @ ( produc314122909real_c @ SV548 ) @ ( produc314122909real_c @ SV914 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4362]) ).

thf(4637,plain,
    ! [SV553: c > $o,SV983: c,SV250: c > $o] :
      ( ( ( ~ ( SV250 @ SV983 )
          | ( SV553 @ SV983 ) )
        = $true )
      | ( ( ord_less_eq_set_c @ ( collect_c @ SV250 ) @ ( collect_c @ SV553 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[4364]) ).

thf(4638,plain,
    ! [SV553: c > $o,SV250: c > $o] :
      ( ( ( ~ ( ord_less_eq_set_c @ ( collect_c @ SV250 ) @ ( collect_c @ SV553 ) )
          | ~ ! [SY2211: c] :
                ( ~ ( SV250 @ SY2211 )
                | ( SV553 @ SY2211 ) ) )
        = $false )
      | ( ( SV250 @ ( sK72_SY2211 @ SV553 @ SV250 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4365]) ).

thf(4639,plain,
    ! [SV553: c > $o,SV250: c > $o] :
      ( ( ( ~ ( ord_less_eq_set_c @ ( collect_c @ SV250 ) @ ( collect_c @ SV553 ) ) )
        = $false )
      | ( ( SV553 @ ( sK72_SY2211 @ SV553 @ SV250 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4366]) ).

thf(4640,plain,
    ! [SV553: c > $o,SV250: c > $o] :
      ( ( ( ~ ! [SY2211: c] :
                ( ~ ( SV250 @ SY2211 )
                | ( SV553 @ SY2211 ) ) )
        = $false )
      | ( ( SV553 @ ( sK72_SY2211 @ SV553 @ SV250 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4366]) ).

thf(4641,plain,
    ( ( ( ord_less_eq_real @ zero_zero_real @ t )
      = $false )
    | ( ( ( ( produc394644079real_c @ aa @ ba )
         != ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
        | ~ ( initia1631504802real_c @ sol
            @ ^ [SX0: real] : ( denota1275485728_a_b_c @ i @ oDEa )
            @ ( set_or656347191t_real @ zero_zero_real @ t )
            @ ( collec230941376real_c
              @ ^ [SX0: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ SX0 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) )
        | ~ ( denota256060419gree_c @ ( sol @ zero_zero_real ) @ ab
            @ ( collect_c
              @ ^ [SX0: c] :
                  ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_BVO_a_c @ oDEa ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( static_FVO_a_c @ oDEa ) ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_FVF_a_b_c @ phi ) ) ) ) )
        | ( ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) )
          = ( denota161327353_a_b_c @ i @ oDEa
            @ ( produc394644079real_c
              @ ( finite557796307c_real
                @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
              @ bb )
            @ ( finite557796307c_real
              @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ t ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) ) )
      = $true )
    | ( ( p = phi )
      = $false )
    | ( ( ode = oDEa )
      = $false )
    | ( ( fsafe_a_b_c @ phi )
      = $false )
    | ( ( osafe_a_c @ oDEa )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4367]) ).

thf(4642,plain,
    ! [SV556: c > $o,SV253: c > $o] :
      ( ( ( SV253 @ ( sK11_SY2213 @ SV556 @ SV253 ) )
        = $false )
      | ( ( ~ ( SV556 @ ( sK11_SY2213 @ SV556 @ SV253 ) ) )
        = $true )
      | ( ( ( collect_c @ SV253 )
          = ( collect_c @ SV556 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4369]) ).

thf(4643,plain,
    ( ( ( ord_less_eq_real @ zero_zero_real @ t )
      = $false )
    | ( ( ( ( produc394644079real_c @ aa @ ba )
         != ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
        | ~ ( initia1631504802real_c @ sol
            @ ^ [SX0: real] : ( denota1275485728_a_b_c @ i @ oDEa )
            @ ( set_or656347191t_real @ zero_zero_real @ t )
            @ ( collec230941376real_c
              @ ^ [SX0: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ SX0 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) )
        | ~ ( denota256060419gree_c @ ( sol @ zero_zero_real ) @ ab
            @ ( collect_c
              @ ^ [SX0: c] :
                  ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_BVO_a_c @ oDEa ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( static_FVO_a_c @ oDEa ) ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_FVF_a_b_c @ phi ) ) ) ) )
        | ( ord_less_eq_real @ zero_zero_real @ t ) )
      = $true )
    | ( ( p = phi )
      = $false )
    | ( ( ode = oDEa )
      = $false )
    | ( ( fsafe_a_b_c @ phi )
      = $false )
    | ( ( osafe_a_c @ oDEa )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4370]) ).

thf(4644,plain,
    ! [SV920: c,SV788: finite1398487019real_c,SV565: finite1398487019real_c,SV262: $o] :
      ( ( SV262 = $true )
      | ( ( ( finite772340578real_c @ ( if_Fin36944805real_c @ SV262 @ SV565 @ SV788 ) @ SV920 )
          = ( finite772340578real_c @ SV788 @ SV920 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4372]) ).

thf(4645,plain,
    ! [SV921: c,SV789: finite1398487019real_c,SV566: finite1398487019real_c] :
      ( ( $true = $true )
      | ( ( ( finite772340578real_c @ ( if_Fin36944805real_c @ $true @ SV566 @ SV789 ) @ SV921 )
          = ( finite772340578real_c @ SV789 @ SV921 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4374]) ).

thf(4646,plain,
    ! [SV922: c,SV790: finite1398487019real_c,SV567: finite1398487019real_c] :
      ( ( $false = $true )
      | ( ( ( finite772340578real_c @ ( if_Fin36944805real_c @ $false @ SV567 @ SV790 ) @ SV922 )
          = ( finite772340578real_c @ SV790 @ SV922 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4376]) ).

thf(4647,plain,
    ! [SV925: real,SV797: real,SV576: real,SV271: real] :
      ( ( ( ~ ( ord_less_eq_set_real @ ( set_or656347191t_real @ SV271 @ SV576 ) @ ( set_or656347191t_real @ SV797 @ SV925 ) ) )
        = $false )
      | ( ( ord_less_eq_set_real @ ( set_or656347191t_real @ SV271 @ SV576 ) @ ( set_or656347191t_real @ SV797 @ SV925 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4377]) ).

thf(4648,plain,
    ! [SV925: real,SV797: real,SV576: real,SV271: real] :
      ( ( ( ~ ( ~ ( ord_less_eq_real @ SV271 @ SV576 )
              | ~ ( ~ ( ord_less_eq_real @ SV797 @ SV271 )
                  | ~ ( ord_less_eq_real @ SV576 @ SV925 ) ) ) )
        = $false )
      | ( ( ord_less_eq_set_real @ ( set_or656347191t_real @ SV271 @ SV576 ) @ ( set_or656347191t_real @ SV797 @ SV925 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4377]) ).

thf(4649,plain,
    ! [SV925: real,SV797: real,SV576: real,SV271: real] :
      ( ( ( ord_less_eq_real @ SV271 @ SV576 )
        = $true )
      | ( ( ~ ( ~ ( ord_less_eq_set_real @ ( set_or656347191t_real @ SV271 @ SV576 ) @ ( set_or656347191t_real @ SV797 @ SV925 ) )
              | ~ ( ~ ( ord_less_eq_real @ SV271 @ SV576 )
                  | ~ ( ~ ( ord_less_eq_real @ SV797 @ SV271 )
                      | ~ ( ord_less_eq_real @ SV576 @ SV925 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4378]) ).

thf(4650,plain,
    ! [SV925: real,SV576: real,SV271: real,SV797: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV797 @ SV271 )
          | ~ ( ord_less_eq_real @ SV576 @ SV925 ) )
        = $true )
      | ( ( ~ ( ~ ( ord_less_eq_set_real @ ( set_or656347191t_real @ SV271 @ SV576 ) @ ( set_or656347191t_real @ SV797 @ SV925 ) )
              | ~ ( ~ ( ord_less_eq_real @ SV271 @ SV576 )
                  | ~ ( ~ ( ord_less_eq_real @ SV797 @ SV271 )
                      | ~ ( ord_less_eq_real @ SV576 @ SV925 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4379]) ).

thf(4651,plain,
    ! [SV926: set_re2066790124real_c,SV577: set_re2066790124real_c] :
      ( ( ( ~ ( ord_le35002188real_c @ SV577 @ SV926 ) )
        = $false )
      | ( ( ord_le35002188real_c @ SV577 @ SV926 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4380]) ).

thf(4652,plain,
    ! [SV926: set_re2066790124real_c,SV577: set_re2066790124real_c] :
      ( ( ( ~ ! [SY2643: real > finite1398487019real_c] :
                ( ~ ( member1321351885real_c @ SY2643 @ SV577 )
                | ( member1321351885real_c @ SY2643 @ SV926 ) ) )
        = $false )
      | ( ( ord_le35002188real_c @ SV577 @ SV926 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4380]) ).

thf(4653,plain,
    ! [SV577: set_re2066790124real_c,SV926: set_re2066790124real_c] :
      ( ( ( ~ ( member1321351885real_c @ ( sK92_SY2643 @ SV926 @ SV577 ) @ SV577 ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le35002188real_c @ SV577 @ SV926 )
              | ~ ! [SY2643: real > finite1398487019real_c] :
                    ( ~ ( member1321351885real_c @ SY2643 @ SV577 )
                    | ( member1321351885real_c @ SY2643 @ SV926 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4381]) ).

thf(4654,plain,
    ! [SV577: set_re2066790124real_c,SV926: set_re2066790124real_c] :
      ( ( ( member1321351885real_c @ ( sK92_SY2643 @ SV926 @ SV577 ) @ SV926 )
        = $false )
      | ( ( ~ ( ~ ( ord_le35002188real_c @ SV577 @ SV926 )
              | ~ ! [SY2643: real > finite1398487019real_c] :
                    ( ~ ( member1321351885real_c @ SY2643 @ SV577 )
                    | ( member1321351885real_c @ SY2643 @ SV926 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4381]) ).

thf(4655,plain,
    ! [SV927: set_Pr1389752855real_c,SV578: set_Pr1389752855real_c] :
      ( ( ( ~ ( ord_le977353143real_c @ SV578 @ SV927 ) )
        = $false )
      | ( ( ord_le977353143real_c @ SV578 @ SV927 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4382]) ).

thf(4656,plain,
    ! [SV927: set_Pr1389752855real_c,SV578: set_Pr1389752855real_c] :
      ( ( ( ~ ! [SY2644: produc190496183real_c] :
                ( ~ ( member1895684704real_c @ SY2644 @ SV578 )
                | ( member1895684704real_c @ SY2644 @ SV927 ) ) )
        = $false )
      | ( ( ord_le977353143real_c @ SV578 @ SV927 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4382]) ).

thf(4657,plain,
    ! [SV578: set_Pr1389752855real_c,SV927: set_Pr1389752855real_c] :
      ( ( ( ~ ( member1895684704real_c @ ( sK93_SY2644 @ SV927 @ SV578 ) @ SV578 ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le977353143real_c @ SV578 @ SV927 )
              | ~ ! [SY2644: produc190496183real_c] :
                    ( ~ ( member1895684704real_c @ SY2644 @ SV578 )
                    | ( member1895684704real_c @ SY2644 @ SV927 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4383]) ).

thf(4658,plain,
    ! [SV578: set_Pr1389752855real_c,SV927: set_Pr1389752855real_c] :
      ( ( ( member1895684704real_c @ ( sK93_SY2644 @ SV927 @ SV578 ) @ SV927 )
        = $false )
      | ( ( ~ ( ~ ( ord_le977353143real_c @ SV578 @ SV927 )
              | ~ ! [SY2644: produc190496183real_c] :
                    ( ~ ( member1895684704real_c @ SY2644 @ SV578 )
                    | ( member1895684704real_c @ SY2644 @ SV927 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4383]) ).

thf(4659,plain,
    ! [SV802: c > set_Sum_sum_c_c,SV276: c > sum_sum_c_c,SV581: set_c,SV928: c] :
      ( ( ( member_c @ SV928 @ SV581 )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( SV276 @ SV928 ) @ ( SV802 @ SV928 ) )
        = $true )
      | ( ( member_c_Sum_sum_c_c @ SV276 @ ( pi_c_Sum_sum_c_c @ SV581 @ SV802 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4384]) ).

thf(4660,plain,
    ! [SV803: sum_sum_c_c > set_Sum_sum_c_c,SV278: sum_sum_c_c > sum_sum_c_c,SV582: set_Sum_sum_c_c,SV929: sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ SV929 @ SV582 )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( SV278 @ SV929 ) @ ( SV803 @ SV929 ) )
        = $true )
      | ( ( member1326674048um_c_c @ SV278 @ ( pi_Sum253006871um_c_c @ SV582 @ SV803 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4387]) ).

thf(4661,plain,
    ! [SV805: sum_sum_c_c > set_c,SV280: sum_sum_c_c > c,SV584: set_Sum_sum_c_c,SV930: sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ SV930 @ SV584 )
        = $false )
      | ( ( member_c @ ( SV280 @ SV930 ) @ ( SV805 @ SV930 ) )
        = $true )
      | ( ( member_Sum_sum_c_c_c @ SV280 @ ( pi_Sum_sum_c_c_c @ SV584 @ SV805 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4388]) ).

thf(4662,plain,
    ! [SV934: c > real > finite1398487019real_c,SV287: c,SV591: set_c,SV812: real > finite1398487019real_c] :
      ( ( ( ( SV812 @ ( sK96_SV978 @ SV591 @ SV287 @ SV934 @ SV812 ) )
          = ( SV934 @ SV287 @ ( sK96_SV978 @ SV591 @ SV287 @ SV934 @ SV812 ) ) )
        = $false )
      | ( ( member1321351885real_c @ SV812 @ ( image_1226855921real_c @ SV934 @ SV591 ) )
        = $true )
      | ( ( member_c @ SV287 @ SV591 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[4391]) ).

thf(4663,plain,
    ! [SV937: produc957004601l_real,SV606: produc957004601l_real] :
      ( ( ( ~ ( ord_le1342644953l_real @ SV606 @ SV937 ) )
        = $false )
      | ( ( ord_le1342644953l_real @ SV606 @ SV937 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4399]) ).

thf(4664,plain,
    ! [SV937: produc957004601l_real,SV606: produc957004601l_real] :
      ( ( ( ~ ~ ( ~ ( ord_less_eq_real @ ( produc1422991709l_real @ SV606 ) @ ( produc1422991709l_real @ SV937 ) )
                | ~ ( ord_less_eq_real @ ( produc1407670175l_real @ SV606 ) @ ( produc1407670175l_real @ SV937 ) ) ) )
        = $false )
      | ( ( ord_le1342644953l_real @ SV606 @ SV937 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4399]) ).

thf(4665,plain,
    ! [SV937: produc957004601l_real,SV606: produc957004601l_real] :
      ( ( ( ~ ( ord_less_eq_real @ ( produc1422991709l_real @ SV606 ) @ ( produc1422991709l_real @ SV937 ) ) )
        = $true )
      | ( ( ~ ( ord_less_eq_real @ ( produc1407670175l_real @ SV606 ) @ ( produc1407670175l_real @ SV937 ) ) )
        = $true )
      | ( ( ~ ( ~ ( ord_le1342644953l_real @ SV606 @ SV937 )
              | ~ ~ ( ~ ( ord_less_eq_real @ ( produc1422991709l_real @ SV606 ) @ ( produc1422991709l_real @ SV937 ) )
                    | ~ ( ord_less_eq_real @ ( produc1407670175l_real @ SV606 ) @ ( produc1407670175l_real @ SV937 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4400]) ).

thf(4666,plain,
    ! [SV608: produc190496183real_c,SV304: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV304 @ ( denota968303861_a_b_c @ i @ p ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV304 @ ( denota968303861_a_b_c @ i @ p ) )
        = $false )
      | ( ( denota1997846518gree_c @ SV304 @ SV608 @ ( static_FVF_a_b_c @ p ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4401]) ).

thf(4667,plain,
    ! [SV304: produc190496183real_c,SV608: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV608 @ ( denota968303861_a_b_c @ i @ p ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV304 @ ( denota968303861_a_b_c @ i @ p ) )
        = $false )
      | ( ( denota1997846518gree_c @ SV304 @ SV608 @ ( static_FVF_a_b_c @ p ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4401]) ).

thf(4668,plain,
    ! [SV608: produc190496183real_c,SV304: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV304 @ ( denota968303861_a_b_c @ i @ p ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV608 @ ( denota968303861_a_b_c @ i @ p ) )
        = $false )
      | ( ( denota1997846518gree_c @ SV304 @ SV608 @ ( static_FVF_a_b_c @ p ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4402]) ).

thf(4669,plain,
    ! [SV304: produc190496183real_c,SV608: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV608 @ ( denota968303861_a_b_c @ i @ p ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV608 @ ( denota968303861_a_b_c @ i @ p ) )
        = $false )
      | ( ( denota1997846518gree_c @ SV304 @ SV608 @ ( static_FVF_a_b_c @ p ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4402]) ).

thf(4670,plain,
    ! [SV609: set_c,SV826: c > sum_sum_c_d,SV938: c > sum_sum_c_d,SV305: set_c] :
      ( ( ( ~ ( member_c @ ( sK94_SY2646 @ SV305 @ SV938 @ SV826 @ SV609 ) @ SV609 ) )
        = $false )
      | ( ( ( image_c_Sum_sum_c_d @ SV826 @ SV305 )
          = ( image_c_Sum_sum_c_d @ SV938 @ SV609 ) )
        = $true )
      | ( ( SV305 = SV609 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4403]) ).

thf(4671,plain,
    ! [SV609: set_c,SV938: c > sum_sum_c_d,SV305: set_c,SV826: c > sum_sum_c_d] :
      ( ( ( ( SV826 @ ( sK94_SY2646 @ SV305 @ SV938 @ SV826 @ SV609 ) )
          = ( SV938 @ ( sK94_SY2646 @ SV305 @ SV938 @ SV826 @ SV609 ) ) )
        = $false )
      | ( ( ( image_c_Sum_sum_c_d @ SV826 @ SV305 )
          = ( image_c_Sum_sum_c_d @ SV938 @ SV609 ) )
        = $true )
      | ( ( SV305 = SV609 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4403]) ).

thf(4672,plain,
    ! [SV830: c > set_c,SV314: c > c,SV618: set_c,SV940: c] :
      ( ( ( member_c @ SV940 @ SV618 )
        = $false )
      | ( ( member_c @ ( SV314 @ SV940 ) @ ( SV830 @ SV940 ) )
        = $true )
      | ( ( member_c_c @ SV314 @ ( pi_c_c @ SV618 @ SV830 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4404]) ).

thf(4673,plain,
    ! [SV941: finite1398487019real_c,SV831: finite1398487019real_c,SV619: finite1398487019real_c,SV315: finite1398487019real_c] :
      ( ( ( ~ ( ord_le850691415real_c @ ( produc394644079real_c @ SV315 @ SV619 ) @ ( produc394644079real_c @ SV831 @ SV941 ) ) )
        = $false )
      | ( ( ord_le850691415real_c @ ( produc394644079real_c @ SV315 @ SV619 ) @ ( produc394644079real_c @ SV831 @ SV941 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4405]) ).

thf(4674,plain,
    ! [SV941: finite1398487019real_c,SV619: finite1398487019real_c,SV831: finite1398487019real_c,SV315: finite1398487019real_c] :
      ( ( ( ~ ~ ( ~ ( ord_le775706699real_c @ SV315 @ SV831 )
                | ~ ( ord_le775706699real_c @ SV619 @ SV941 ) ) )
        = $false )
      | ( ( ord_le850691415real_c @ ( produc394644079real_c @ SV315 @ SV619 ) @ ( produc394644079real_c @ SV831 @ SV941 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4405]) ).

thf(4675,plain,
    ! [SV941: finite1398487019real_c,SV619: finite1398487019real_c,SV831: finite1398487019real_c,SV315: finite1398487019real_c] :
      ( ( ( ~ ( ord_le775706699real_c @ SV315 @ SV831 ) )
        = $true )
      | ( ( ~ ( ord_le775706699real_c @ SV619 @ SV941 ) )
        = $true )
      | ( ( ~ ( ~ ( ord_le850691415real_c @ ( produc394644079real_c @ SV315 @ SV619 ) @ ( produc394644079real_c @ SV831 @ SV941 ) )
              | ~ ~ ( ~ ( ord_le775706699real_c @ SV315 @ SV831 )
                    | ~ ( ord_le775706699real_c @ SV619 @ SV941 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4406]) ).

thf(4676,plain,
    ! [SV832: real > set_Fi1407883041real_c,SV620: set_real,SV316: real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ SV316 @ ( pi_rea1111636068real_c @ SV620 @ SV832 ) )
        = $true )
      | ( ( member1321351885real_c @ SV316 @ ( pi_rea1111636068real_c @ SV620 @ SV832 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4407]) ).

thf(4677,plain,
    ! [SV832: real > set_Fi1407883041real_c,SV316: real > finite1398487019real_c,SV620: set_real] :
      ( ( ( ! [SY2577: real] :
              ( ~ ( member_real @ SY2577 @ SV620 )
              | ( member1261661570real_c @ ( SV316 @ SY2577 ) @ ( SV832 @ SY2577 ) ) ) )
        = $true )
      | ( ( member1321351885real_c @ SV316 @ ( pi_rea1111636068real_c @ SV620 @ SV832 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4408]) ).

thf(4678,plain,
    ! [SV620: set_real,SV316: real > finite1398487019real_c,SV832: real > set_Fi1407883041real_c] :
      ( ( ( member_real @ ( sK81_SY2577 @ SV832 @ SV316 @ SV620 ) @ SV620 )
        = $true )
      | ( ( ~ ( ~ ( member1321351885real_c @ SV316 @ ( pi_rea1111636068real_c @ SV620 @ SV832 ) )
              | ~ ! [SY2577: real] :
                    ( ~ ( member_real @ SY2577 @ SV620 )
                    | ( member1261661570real_c @ ( SV316 @ SY2577 ) @ ( SV832 @ SY2577 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4409]) ).

thf(4679,plain,
    ! [SV832: real > set_Fi1407883041real_c,SV620: set_real,SV316: real > finite1398487019real_c] :
      ( ( ( ~ ( member1321351885real_c @ SV316 @ ( pi_rea1111636068real_c @ SV620 @ SV832 ) )
          | ~ ! [SY2577: real] :
                ( ~ ( member_real @ SY2577 @ SV620 )
                | ( member1261661570real_c @ ( SV316 @ SY2577 ) @ ( SV832 @ SY2577 ) ) ) )
        = $false )
      | ( ( member1261661570real_c @ ( SV316 @ ( sK81_SY2577 @ SV832 @ SV316 @ SV620 ) ) @ ( SV832 @ ( sK81_SY2577 @ SV832 @ SV316 @ SV620 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4410]) ).

thf(4680,plain,
    ! [SV835: ( real > finite1398487019real_c ) > set_c,SV319: ( real > finite1398487019real_c ) > c,SV623: set_re2066790124real_c,SV942: real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ SV942 @ SV623 )
        = $false )
      | ( ( member_c @ ( SV319 @ SV942 ) @ ( SV835 @ SV942 ) )
        = $true )
      | ( ( member527957930al_c_c @ SV319 @ ( pi_rea1228756413al_c_c @ SV623 @ SV835 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4411]) ).

thf(4681,plain,
    ! [SV944: produc190496183real_c,SV627: produc190496183real_c] :
      ( ( ( SV627 != SV944 )
        = $false )
      | ( ( SV627 = SV944 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4412]) ).

thf(4682,plain,
    ! [SV944: produc190496183real_c,SV627: produc190496183real_c] :
      ( ( ( ~ ~ ( ( ( produc2010422875real_c @ SV627 )
                 != ( produc2010422875real_c @ SV944 ) )
                | ( ( produc314122909real_c @ SV627 )
                 != ( produc314122909real_c @ SV944 ) ) ) )
        = $false )
      | ( ( SV627 = SV944 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4412]) ).

thf(4683,plain,
    ! [SV944: produc190496183real_c,SV627: produc190496183real_c] :
      ( ( ( ( produc2010422875real_c @ SV627 )
         != ( produc2010422875real_c @ SV944 ) )
        = $true )
      | ( ( ( produc314122909real_c @ SV627 )
         != ( produc314122909real_c @ SV944 ) )
        = $true )
      | ( ( ~ ( ( SV627 != SV944 )
              | ~ ~ ( ( ( produc2010422875real_c @ SV627 )
                     != ( produc2010422875real_c @ SV944 ) )
                    | ( ( produc314122909real_c @ SV627 )
                     != ( produc314122909real_c @ SV944 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4413]) ).

thf(4684,plain,
    ! [SV945: set_Pr1389752855real_c,SV628: set_Pr1389752855real_c] :
      ( ( ( ~ ( ord_le977353143real_c @ SV628 @ SV945 ) )
        = $false )
      | ( ( ord_le977353143real_c @ SV628 @ SV945 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4414]) ).

thf(4685,plain,
    ! [SV945: set_Pr1389752855real_c,SV628: set_Pr1389752855real_c] :
      ( ( ( ~ ! [SY2647: produc190496183real_c] :
                ( ~ ( member1895684704real_c @ SY2647 @ SV628 )
                | ( member1895684704real_c @ SY2647 @ SV945 ) ) )
        = $false )
      | ( ( ord_le977353143real_c @ SV628 @ SV945 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4414]) ).

thf(4686,plain,
    ! [SV628: set_Pr1389752855real_c,SV945: set_Pr1389752855real_c] :
      ( ( ( ~ ( member1895684704real_c @ ( sK95_SY2647 @ SV945 @ SV628 ) @ SV628 ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le977353143real_c @ SV628 @ SV945 )
              | ~ ! [SY2647: produc190496183real_c] :
                    ( ~ ( member1895684704real_c @ SY2647 @ SV628 )
                    | ( member1895684704real_c @ SY2647 @ SV945 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4415]) ).

thf(4687,plain,
    ! [SV628: set_Pr1389752855real_c,SV945: set_Pr1389752855real_c] :
      ( ( ( member1895684704real_c @ ( sK95_SY2647 @ SV945 @ SV628 ) @ SV945 )
        = $false )
      | ( ( ~ ( ~ ( ord_le977353143real_c @ SV628 @ SV945 )
              | ~ ! [SY2647: produc190496183real_c] :
                    ( ~ ( member1895684704real_c @ SY2647 @ SV628 )
                    | ( member1895684704real_c @ SY2647 @ SV945 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4415]) ).

thf(4688,plain,
    ! [SV842: set_c,SV631: c > sum_sum_c_c,SV327: set_Sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ SV327 @ ( image_c_Sum_sum_c_c @ SV631 @ SV842 ) )
        = $true )
      | ( ( ord_le1772180283um_c_c @ SV327 @ ( image_c_Sum_sum_c_c @ SV631 @ SV842 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4416]) ).

thf(4689,plain,
    ! [SV631: c > sum_sum_c_c,SV327: set_Sum_sum_c_c,SV842: set_c] :
      ( ( ( ~ ! [SY2581: set_c] :
                ~ ~ ( ~ ( ord_less_eq_set_c @ SY2581 @ SV842 )
                    | ( SV327
                     != ( image_c_Sum_sum_c_c @ SV631 @ SY2581 ) ) ) )
        = $true )
      | ( ( ord_le1772180283um_c_c @ SV327 @ ( image_c_Sum_sum_c_c @ SV631 @ SV842 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4417]) ).

thf(4690,plain,
    ! [SV631: c > sum_sum_c_c,SV327: set_Sum_sum_c_c,SV842: set_c,SV979: set_c] :
      ( ( ( ~ ( ~ ( ord_less_eq_set_c @ SV979 @ SV842 )
              | ( SV327
               != ( image_c_Sum_sum_c_c @ SV631 @ SV979 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV327 @ ( image_c_Sum_sum_c_c @ SV631 @ SV842 ) )
              | ~ ~ ! [SY2581: set_c] :
                      ~ ~ ( ~ ( ord_less_eq_set_c @ SY2581 @ SV842 )
                          | ( SV327
                           != ( image_c_Sum_sum_c_c @ SV631 @ SY2581 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4418]) ).

thf(4691,plain,
    ! [SV844: sum_sum_c_d > $o,SV633: set_c,SV329: c > sum_sum_c_d,SV968: sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_d @ SV968 @ ( image_c_Sum_sum_c_d @ SV329 @ SV633 ) ) )
        = $true )
      | ( ( ~ ( SV844 @ SV968 ) )
        = $true )
      | ( ( ~ ! [SY2585: c] :
                ~ ~ ( ~ ( member_c @ SY2585 @ SV633 )
                    | ~ ( SV844 @ ( SV329 @ SY2585 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4419]) ).

thf(4692,plain,
    ! [SV850: finite1398487019real_c,SV337: finite1398487019real_c] :
      ( ( ( ord_le775706699real_c @ SV337 @ SV850 )
        = $true )
      | ( ( ord_le775706699real_c @ SV337 @ SV850 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4422]) ).

thf(4693,plain,
    ! [SV850: finite1398487019real_c,SV337: finite1398487019real_c] :
      ( ( ( ! [SY2596: c] : ( ord_less_eq_real @ ( finite772340578real_c @ SV337 @ SY2596 ) @ ( finite772340578real_c @ SV850 @ SY2596 ) ) )
        = $true )
      | ( ( ord_le775706699real_c @ SV337 @ SV850 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4423]) ).

thf(4694,plain,
    ! [SV850: finite1398487019real_c,SV337: finite1398487019real_c] :
      ( ( ( ~ ( ord_le775706699real_c @ SV337 @ SV850 ) )
        = $false )
      | ( ( ord_less_eq_real @ ( finite772340578real_c @ SV337 @ ( sK82_SY2596 @ SV850 @ SV337 ) ) @ ( finite772340578real_c @ SV850 @ ( sK82_SY2596 @ SV850 @ SV337 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4424]) ).

thf(4695,plain,
    ! [SV850: finite1398487019real_c,SV337: finite1398487019real_c] :
      ( ( ( ~ ! [SY2596: c] : ( ord_less_eq_real @ ( finite772340578real_c @ SV337 @ SY2596 ) @ ( finite772340578real_c @ SV850 @ SY2596 ) ) )
        = $false )
      | ( ( ord_less_eq_real @ ( finite772340578real_c @ SV337 @ ( sK82_SY2596 @ SV850 @ SV337 ) ) @ ( finite772340578real_c @ SV850 @ ( sK82_SY2596 @ SV850 @ SV337 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4424]) ).

thf(4696,plain,
    ! [SV338: finite1398487019real_c,SV7: finite1398487019real_c] :
      ( ( ( ( finite772340578real_c @ SV7 )
          = ( finite772340578real_c @ SV338 ) )
        = $true )
      | ( ( ( finite772340578real_c @ SV7 @ ( sK77_SV963 @ SV338 @ SV7 ) )
          = ( finite772340578real_c @ SV338 @ ( sK77_SV963 @ SV338 @ SV7 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4425]) ).

thf(4697,plain,
    ! [SV338: finite1398487019real_c,SV7: finite1398487019real_c] :
      ( ( ( SV7 = SV338 )
        = $true )
      | ( ( ( finite772340578real_c @ SV7 @ ( sK77_SV963 @ SV338 @ SV7 ) )
          = ( finite772340578real_c @ SV338 @ ( sK77_SV963 @ SV338 @ SV7 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4426]) ).

thf(4698,plain,
    ! [SV338: finite1398487019real_c,SV7: finite1398487019real_c] :
      ( ( ( ! [SV984: c] :
              ( ( finite772340578real_c @ SV7 @ SV984 )
              = ( finite772340578real_c @ SV338 @ SV984 ) ) )
        = $true )
      | ( ( ( finite772340578real_c @ SV7 )
          = ( finite772340578real_c @ SV338 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[4427]) ).

thf(4699,plain,
    ! [SV338: finite1398487019real_c,SV7: finite1398487019real_c] :
      ( ( ( ( finite772340578real_c @ SV7 )
          = ( finite772340578real_c @ SV338 ) )
        = $true )
      | ( ( ( finite772340578real_c @ SV7 )
          = ( finite772340578real_c @ SV338 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[4427]) ).

thf(4700,plain,
    ! [SV338: finite1398487019real_c,SV985: c,SV7: finite1398487019real_c] :
      ( ( ( ( finite772340578real_c @ SV7 @ SV985 )
          = ( finite772340578real_c @ SV338 @ SV985 ) )
        = $true )
      | ( ( SV7 = SV338 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[4429]) ).

thf(4701,plain,
    ! [SV851: finite1398487019real_c,SV339: finite1398487019real_c] :
      ( ( ( SV339 = SV851 )
        = $true )
      | ( ( SV339 = SV851 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4431]) ).

thf(4702,plain,
    ! [SV851: finite1398487019real_c,SV339: finite1398487019real_c] :
      ( ( ( ! [SY2597: c] :
              ( ( finite772340578real_c @ SV339 @ SY2597 )
              = ( finite772340578real_c @ SV851 @ SY2597 ) ) )
        = $true )
      | ( ( SV339 = SV851 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4432]) ).

thf(4703,plain,
    ! [SV851: finite1398487019real_c,SV339: finite1398487019real_c] :
      ( ( ( SV339 != SV851 )
        = $false )
      | ( ( ( finite772340578real_c @ SV339 @ ( sK83_SY2597 @ SV851 @ SV339 ) )
          = ( finite772340578real_c @ SV851 @ ( sK83_SY2597 @ SV851 @ SV339 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4433]) ).

thf(4704,plain,
    ! [SV851: finite1398487019real_c,SV339: finite1398487019real_c] :
      ( ( ( ~ ! [SY2597: c] :
                ( ( finite772340578real_c @ SV339 @ SY2597 )
                = ( finite772340578real_c @ SV851 @ SY2597 ) ) )
        = $false )
      | ( ( ( finite772340578real_c @ SV339 @ ( sK83_SY2597 @ SV851 @ SV339 ) )
          = ( finite772340578real_c @ SV851 @ ( sK83_SY2597 @ SV851 @ SV339 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4433]) ).

thf(4705,plain,
    ! [SV348: c > real,SV986: c,SV24: finite1398487019real_c] :
      ( ( ( ( finite772340578real_c @ SV24 @ SV986 )
          = ( SV348 @ SV986 ) )
        = $true )
      | ( ( ( finite772340578real_c @ SV24 @ ( sK61_SY1885 @ SV348 @ SV24 ) )
          = ( SV348 @ ( sK61_SY1885 @ SV348 @ SV24 ) ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[4434]) ).

thf(4706,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ ( equiv_a_b_c @ SV645 @ SV855 ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ ( equiv_a_b_c @ SV645 @ SV855 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4441]) ).

thf(4707,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
          = ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ ( equiv_a_b_c @ SV645 @ SV855 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4442]) ).

thf(4708,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
          | ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
        = $true )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ ( equiv_a_b_c @ SV645 @ SV855 ) ) )
              | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
               != ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4443]) ).

thf(4709,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
          | ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
        = $true )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ ( equiv_a_b_c @ SV645 @ SV855 ) ) )
              | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
               != ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4444]) ).

thf(4710,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ ( equiv_a_b_c @ SV645 @ SV855 ) ) ) )
        = $false )
      | ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
          = ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4445]) ).

thf(4711,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
         != ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
        = $false )
      | ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
          = ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4445]) ).

thf(4712,plain,
    ! [SV370: set_c,SV60: c] :
      ( ( ( member_c @ SV60 @ SV370 )
        = $false )
      | ( ( member_c @ SV60 @ SV370 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4448]) ).

thf(4713,plain,
    ! [SV371: set_Sum_sum_c_d,SV61: sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ SV61 @ SV371 )
        = $false )
      | ( ( member_Sum_sum_c_d @ SV61 @ SV371 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4451]) ).

thf(4714,plain,
    ! [SV372: set_Pr1389752855real_c,SV62: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV62 @ SV372 )
        = $false )
      | ( ( member1895684704real_c @ SV62 @ SV372 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4454]) ).

thf(4715,plain,
    ! [SV373: set_re2066790124real_c,SV63: real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ SV63 @ SV373 )
        = $false )
      | ( ( member1321351885real_c @ SV63 @ SV373 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4457]) ).

thf(4716,plain,
    ! [SV374: set_Sum_sum_c_c,SV64: sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ SV64 @ SV374 )
        = $false )
      | ( ( member_Sum_sum_c_c @ SV64 @ SV374 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4460]) ).

thf(4717,plain,
    ! [SV856: set_Sum_sum_c_c,SV381: set_Sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ SV381 @ SV856 )
        = $true )
      | ( ( ord_le1772180283um_c_c @ SV381 @ SV856 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4461]) ).

thf(4718,plain,
    ! [SV856: set_Sum_sum_c_c,SV381: set_Sum_sum_c_c] :
      ( ( ( ord_le1315653386_c_c_o
          @ ^ [SY1915: sum_sum_c_c] : ( member_Sum_sum_c_c @ SY1915 @ SV381 )
          @ ^ [SY2608: sum_sum_c_c] : ( member_Sum_sum_c_c @ SY2608 @ SV856 ) )
        = $true )
      | ( ( ord_le1772180283um_c_c @ SV381 @ SV856 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4462]) ).

thf(4719,plain,
    ! [SV856: set_Sum_sum_c_c,SV381: set_Sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ SV381 @ SV856 )
        = $true )
      | ( ( ord_le1315653386_c_c_o
          @ ^ [SY1915: sum_sum_c_c] : ( member_Sum_sum_c_c @ SY1915 @ SV381 )
          @ ^ [SY2608: sum_sum_c_c] : ( member_Sum_sum_c_c @ SY2608 @ SV856 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4463]) ).

thf(4720,plain,
    ! [SV856: set_Sum_sum_c_c,SV381: set_Sum_sum_c_c] :
      ( ( ( ord_le1315653386_c_c_o
          @ ^ [SY1915: sum_sum_c_c] : ( member_Sum_sum_c_c @ SY1915 @ SV381 )
          @ ^ [SY2608: sum_sum_c_c] : ( member_Sum_sum_c_c @ SY2608 @ SV856 ) )
        = $true )
      | ( ( ord_le1315653386_c_c_o
          @ ^ [SY1915: sum_sum_c_c] : ( member_Sum_sum_c_c @ SY1915 @ SV381 )
          @ ^ [SY2608: sum_sum_c_c] : ( member_Sum_sum_c_c @ SY2608 @ SV856 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4464]) ).

thf(4721,plain,
    ! [SV857: set_c,SV382: set_c] :
      ( ( ( ord_less_eq_set_c @ SV382 @ SV857 )
        = $true )
      | ( ( ord_less_eq_set_c @ SV382 @ SV857 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4465]) ).

thf(4722,plain,
    ! [SV857: set_c,SV382: set_c] :
      ( ( ( ord_less_eq_c_o
          @ ^ [SY1918: c] : ( member_c @ SY1918 @ SV382 )
          @ ^ [SY2610: c] : ( member_c @ SY2610 @ SV857 ) )
        = $true )
      | ( ( ord_less_eq_set_c @ SV382 @ SV857 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4466]) ).

thf(4723,plain,
    ! [SV857: set_c,SV382: set_c] :
      ( ( ( ord_less_eq_set_c @ SV382 @ SV857 )
        = $true )
      | ( ( ord_less_eq_c_o
          @ ^ [SY1918: c] : ( member_c @ SY1918 @ SV382 )
          @ ^ [SY2610: c] : ( member_c @ SY2610 @ SV857 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4467]) ).

thf(4724,plain,
    ! [SV857: set_c,SV382: set_c] :
      ( ( ( ord_less_eq_c_o
          @ ^ [SY1918: c] : ( member_c @ SY1918 @ SV382 )
          @ ^ [SY2610: c] : ( member_c @ SY2610 @ SV857 ) )
        = $true )
      | ( ( ord_less_eq_c_o
          @ ^ [SY1918: c] : ( member_c @ SY1918 @ SV382 )
          @ ^ [SY2610: c] : ( member_c @ SY2610 @ SV857 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4468]) ).

thf(4725,plain,
    ! [SV858: set_Sum_sum_c_d,SV383: set_Sum_sum_c_d] :
      ( ( ( ord_le764260924um_c_d @ SV383 @ SV858 )
        = $true )
      | ( ( ord_le764260924um_c_d @ SV383 @ SV858 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4469]) ).

thf(4726,plain,
    ! [SV858: set_Sum_sum_c_d,SV383: set_Sum_sum_c_d] :
      ( ( ( ord_le2143422793_c_d_o
          @ ^ [SY1921: sum_sum_c_d] : ( member_Sum_sum_c_d @ SY1921 @ SV383 )
          @ ^ [SY2612: sum_sum_c_d] : ( member_Sum_sum_c_d @ SY2612 @ SV858 ) )
        = $true )
      | ( ( ord_le764260924um_c_d @ SV383 @ SV858 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4470]) ).

thf(4727,plain,
    ! [SV858: set_Sum_sum_c_d,SV383: set_Sum_sum_c_d] :
      ( ( ( ord_le764260924um_c_d @ SV383 @ SV858 )
        = $true )
      | ( ( ord_le2143422793_c_d_o
          @ ^ [SY1921: sum_sum_c_d] : ( member_Sum_sum_c_d @ SY1921 @ SV383 )
          @ ^ [SY2612: sum_sum_c_d] : ( member_Sum_sum_c_d @ SY2612 @ SV858 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4471]) ).

thf(4728,plain,
    ! [SV858: set_Sum_sum_c_d,SV383: set_Sum_sum_c_d] :
      ( ( ( ord_le2143422793_c_d_o
          @ ^ [SY1921: sum_sum_c_d] : ( member_Sum_sum_c_d @ SY1921 @ SV383 )
          @ ^ [SY2612: sum_sum_c_d] : ( member_Sum_sum_c_d @ SY2612 @ SV858 ) )
        = $true )
      | ( ( ord_le2143422793_c_d_o
          @ ^ [SY1921: sum_sum_c_d] : ( member_Sum_sum_c_d @ SY1921 @ SV383 )
          @ ^ [SY2612: sum_sum_c_d] : ( member_Sum_sum_c_d @ SY2612 @ SV858 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4472]) ).

thf(4729,plain,
    ! [SV859: set_Pr1389752855real_c,SV384: set_Pr1389752855real_c] :
      ( ( ( ord_le977353143real_c @ SV384 @ SV859 )
        = $true )
      | ( ( ord_le977353143real_c @ SV384 @ SV859 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4473]) ).

thf(4730,plain,
    ! [SV859: set_Pr1389752855real_c,SV384: set_Pr1389752855real_c] :
      ( ( ( ord_le1132241894al_c_o
          @ ^ [SY1924: produc190496183real_c] : ( member1895684704real_c @ SY1924 @ SV384 )
          @ ^ [SY2614: produc190496183real_c] : ( member1895684704real_c @ SY2614 @ SV859 ) )
        = $true )
      | ( ( ord_le977353143real_c @ SV384 @ SV859 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4474]) ).

thf(4731,plain,
    ! [SV859: set_Pr1389752855real_c,SV384: set_Pr1389752855real_c] :
      ( ( ( ord_le977353143real_c @ SV384 @ SV859 )
        = $true )
      | ( ( ord_le1132241894al_c_o
          @ ^ [SY1924: produc190496183real_c] : ( member1895684704real_c @ SY1924 @ SV384 )
          @ ^ [SY2614: produc190496183real_c] : ( member1895684704real_c @ SY2614 @ SV859 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4475]) ).

thf(4732,plain,
    ! [SV859: set_Pr1389752855real_c,SV384: set_Pr1389752855real_c] :
      ( ( ( ord_le1132241894al_c_o
          @ ^ [SY1924: produc190496183real_c] : ( member1895684704real_c @ SY1924 @ SV384 )
          @ ^ [SY2614: produc190496183real_c] : ( member1895684704real_c @ SY2614 @ SV859 ) )
        = $true )
      | ( ( ord_le1132241894al_c_o
          @ ^ [SY1924: produc190496183real_c] : ( member1895684704real_c @ SY1924 @ SV384 )
          @ ^ [SY2614: produc190496183real_c] : ( member1895684704real_c @ SY2614 @ SV859 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4476]) ).

thf(4733,plain,
    ! [SV860: set_re2066790124real_c,SV385: set_re2066790124real_c] :
      ( ( ( ord_le35002188real_c @ SV385 @ SV860 )
        = $true )
      | ( ( ord_le35002188real_c @ SV385 @ SV860 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4477]) ).

thf(4734,plain,
    ! [SV860: set_re2066790124real_c,SV385: set_re2066790124real_c] :
      ( ( ( ord_le818951225al_c_o
          @ ^ [SY1927: real > finite1398487019real_c] : ( member1321351885real_c @ SY1927 @ SV385 )
          @ ^ [SY2616: real > finite1398487019real_c] : ( member1321351885real_c @ SY2616 @ SV860 ) )
        = $true )
      | ( ( ord_le35002188real_c @ SV385 @ SV860 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4478]) ).

thf(4735,plain,
    ! [SV860: set_re2066790124real_c,SV385: set_re2066790124real_c] :
      ( ( ( ord_le35002188real_c @ SV385 @ SV860 )
        = $true )
      | ( ( ord_le818951225al_c_o
          @ ^ [SY1927: real > finite1398487019real_c] : ( member1321351885real_c @ SY1927 @ SV385 )
          @ ^ [SY2616: real > finite1398487019real_c] : ( member1321351885real_c @ SY2616 @ SV860 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4479]) ).

thf(4736,plain,
    ! [SV860: set_re2066790124real_c,SV385: set_re2066790124real_c] :
      ( ( ( ord_le818951225al_c_o
          @ ^ [SY1927: real > finite1398487019real_c] : ( member1321351885real_c @ SY1927 @ SV385 )
          @ ^ [SY2616: real > finite1398487019real_c] : ( member1321351885real_c @ SY2616 @ SV860 ) )
        = $true )
      | ( ( ord_le818951225al_c_o
          @ ^ [SY1927: real > finite1398487019real_c] : ( member1321351885real_c @ SY1927 @ SV385 )
          @ ^ [SY2616: real > finite1398487019real_c] : ( member1321351885real_c @ SY2616 @ SV860 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4480]) ).

thf(4737,plain,
    ! [SV98: $o] :
      ( ( ( ~ ( SV98
              | $false ) )
        = $true )
      | ( ( ~ ( ~ SV98
              | ~ $false ) )
        = $true )
      | ( SV98 = $false )
      | ( SV98 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4493]) ).

thf(4738,plain,
    ! [SV98: $o] :
      ( ( ( ~ ( SV98
              | $false ) )
        = $true )
      | ( ( ~ ( ~ SV98
              | ~ $false ) )
        = $true )
      | ( SV98 = $false )
      | ( $true = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4495]) ).

thf(4739,plain,
    ! [SV98: $o] :
      ( ( ( ~ ( SV98
              | $false ) )
        = $true )
      | ( ( ~ ( ~ SV98
              | ~ $false ) )
        = $true )
      | ( $true = $false )
      | ( SV98 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4497]) ).

thf(4740,plain,
    ! [SV98: $o] :
      ( ( ( ~ ( SV98
              | $false ) )
        = $true )
      | ( ( ~ ( ~ SV98
              | ~ $false ) )
        = $true )
      | ( $true = $false )
      | ( $true = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4499]) ).

thf(4741,plain,
    ( ( ( ~ ( $true
            | $false ) )
      = $true )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4505]) ).

thf(4742,plain,
    ( ( ( ~ ( $true
            | $false ) )
      = $true )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4507]) ).

thf(4743,plain,
    ( ( ( ~ ( $true
            | $false ) )
      = $true )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4509]) ).

thf(4744,plain,
    ( ( ( ~ ( $true
            | $false ) )
      = $true )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4511]) ).

thf(4745,plain,
    ( ( ( ~ ( $false
            | $false ) )
      = $true )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4517]) ).

thf(4746,plain,
    ( ( ( ~ ( $false
            | $false ) )
      = $true )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4519]) ).

thf(4747,plain,
    ( ( ( ~ ( $false
            | $false ) )
      = $true )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4521]) ).

thf(4748,plain,
    ( ( ( ~ ( $false
            | $false ) )
      = $true )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4523]) ).

thf(4749,plain,
    ! [SV865: finite1398487019real_c,SV666: finite1398487019real_c,SV412: finite1398487019real_c,SV107: finite1398487019real_c] :
      ( ( ( ( produc394644079real_c @ SV107 @ SV412 )
          = ( produc394644079real_c @ SV666 @ SV865 ) )
        = $true )
      | ( ( ( produc394644079real_c @ SV107 @ SV412 )
          = ( produc394644079real_c @ SV666 @ SV865 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4529]) ).

thf(4750,plain,
    ! [SV865: finite1398487019real_c,SV412: finite1398487019real_c,SV666: finite1398487019real_c,SV107: finite1398487019real_c] :
      ( ( ( ~ ( ( SV107 != SV666 )
              | ( SV412 != SV865 ) ) )
        = $true )
      | ( ( ( produc394644079real_c @ SV107 @ SV412 )
          = ( produc394644079real_c @ SV666 @ SV865 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4530]) ).

thf(4751,plain,
    ! [SV865: finite1398487019real_c,SV412: finite1398487019real_c,SV666: finite1398487019real_c,SV107: finite1398487019real_c] :
      ( ( ( SV107 = SV666 )
        = $false )
      | ( ( SV412 != SV865 )
        = $true )
      | ( ( ~ ( ( ( produc394644079real_c @ SV107 @ SV412 )
               != ( produc394644079real_c @ SV666 @ SV865 ) )
              | ~ ~ ( ( SV107 != SV666 )
                    | ( SV412 != SV865 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4531]) ).

thf(4752,plain,
    ! [SV414: c > sum_sum_c_d,SV109: set_Sum_sum_c_d,SV668: set_c] :
      ( ( ( ! [SY2402: set_c] :
              ~ ~ ( ~ ( ord_less_eq_set_c @ SY2402 @ SV668 )
                  | ( SV109
                   != ( image_c_Sum_sum_c_d @ SV414 @ SY2402 ) ) ) )
        = $false )
      | ( ( ord_le764260924um_c_d @ SV109 @ ( image_c_Sum_sum_c_d @ SV414 @ SV668 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4533]) ).

thf(4753,plain,
    ! [SV414: c > sum_sum_c_d,SV109: set_Sum_sum_c_d,SV668: set_c,SV973: set_c] :
      ( ( ( ~ ( ord_less_eq_set_c @ SV973 @ SV668 )
          | ( SV109
           != ( image_c_Sum_sum_c_d @ SV414 @ SV973 ) ) )
        = $true )
      | ( ( ~ ( ~ ( ord_le764260924um_c_d @ SV109 @ ( image_c_Sum_sum_c_d @ SV414 @ SV668 ) )
              | ~ ~ ! [SY2402: set_c] :
                      ~ ~ ( ~ ( ord_less_eq_set_c @ SY2402 @ SV668 )
                          | ( SV109
                           != ( image_c_Sum_sum_c_d @ SV414 @ SY2402 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4534]) ).

thf(4754,plain,
    ( ( ( ( produc394644079real_c @ aa @ ba )
       != ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
      = $true )
    | ( ( ~ ( initia1631504802real_c @ sol
            @ ^ [SX0: real] : ( denota1275485728_a_b_c @ i @ oDEa )
            @ ( set_or656347191t_real @ zero_zero_real @ t )
            @ ( collec230941376real_c
              @ ^ [SX0: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ SX0 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) )
        | ~ ( denota256060419gree_c @ ( sol @ zero_zero_real ) @ ab
            @ ( collect_c
              @ ^ [SX0: c] :
                  ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_BVO_a_c @ oDEa ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( static_FVO_a_c @ oDEa ) ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_FVF_a_b_c @ phi ) ) ) ) )
        | ( ab
          = ( finite557796307c_real
            @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
      = $true )
    | ( ( ord_less_eq_real @ zero_zero_real @ t )
      = $false )
    | ( ( p = phi )
      = $false )
    | ( ( ode = oDEa )
      = $false )
    | ( ( fsafe_a_b_c @ phi )
      = $false )
    | ( ( osafe_a_c @ oDEa )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4537]) ).

thf(4755,plain,
    ! [SV670: produc190496183real_c,SV112: produc190496183real_c,SV417: produc190496183real_c] :
      ( ( ( ~ ( ord_le850691415real_c @ SV417 @ SV112 )
          | ~ ( ord_le850691415real_c @ SV112 @ SV670 ) )
        = $false )
      | ( ( member1895684704real_c @ SV112 @ ( set_or385782508real_c @ SV417 @ SV670 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4539]) ).

thf(4756,plain,
    ! [SV417: produc190496183real_c,SV670: produc190496183real_c,SV112: produc190496183real_c] :
      ( ( ( ord_le850691415real_c @ SV112 @ SV670 )
        = $false )
      | ( ( ord_le850691415real_c @ SV417 @ SV112 )
        = $false )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV112 @ ( set_or385782508real_c @ SV417 @ SV670 ) )
              | ~ ~ ( ~ ( ord_le850691415real_c @ SV417 @ SV112 )
                    | ~ ( ord_le850691415real_c @ SV112 @ SV670 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4540]) ).

thf(4757,plain,
    ! [SV420: c > sum_sum_c_d,SV115: sum_sum_c_d,SV672: set_c] :
      ( ( ( ! [SY2406: c] :
              ~ ~ ( ~ ( member_c @ SY2406 @ SV672 )
                  | ( SV115
                   != ( SV420 @ SY2406 ) ) ) )
        = $false )
      | ( ( member_Sum_sum_c_d @ SV115 @ ( image_c_Sum_sum_c_d @ SV420 @ SV672 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4542]) ).

thf(4758,plain,
    ! [SV420: c > sum_sum_c_d,SV115: sum_sum_c_d,SV672: set_c,SV974: c] :
      ( ( ( ~ ( member_c @ SV974 @ SV672 )
          | ( SV115
           != ( SV420 @ SV974 ) ) )
        = $true )
      | ( ( ~ ( ~ ( member_Sum_sum_c_d @ SV115 @ ( image_c_Sum_sum_c_d @ SV420 @ SV672 ) )
              | ~ ~ ! [SY2406: c] :
                      ~ ~ ( ~ ( member_c @ SY2406 @ SV672 )
                          | ( SV115
                           != ( SV420 @ SY2406 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4543]) ).

thf(4759,plain,
    ! [SV674: real,SV117: real,SV422: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV422 @ SV117 )
          | ~ ( ord_less_eq_real @ SV117 @ SV674 ) )
        = $false )
      | ( ( member_real @ SV117 @ ( set_or656347191t_real @ SV422 @ SV674 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4545]) ).

thf(4760,plain,
    ! [SV422: real,SV674: real,SV117: real] :
      ( ( ( ord_less_eq_real @ SV117 @ SV674 )
        = $false )
      | ( ( ord_less_eq_real @ SV422 @ SV117 )
        = $false )
      | ( ( ~ ( ~ ( member_real @ SV117 @ ( set_or656347191t_real @ SV422 @ SV674 ) )
              | ~ ~ ( ~ ( ord_less_eq_real @ SV422 @ SV117 )
                    | ~ ( ord_less_eq_real @ SV117 @ SV674 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4546]) ).

thf(4761,plain,
    ! [SV961: set_c,SV868: finite1398487019real_c,SV424: finite1398487019real_c] :
      ( ( ( ~ ( denota256060419gree_c @ SV424 @ SV868 @ SV961 )
          | ~ ! [SY2672: c] :
                ( ~ ( member_c @ SY2672 @ SV961 )
                | ( ( finite772340578real_c @ SV424 @ SY2672 )
                  = ( finite772340578real_c @ SV868 @ SY2672 ) ) ) )
        = $false )
      | ( ( denota256060419gree_c @ SV424 @ SV868 @ SV961 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4547]) ).

thf(4762,plain,
    ! [SV961: set_c,SV424: finite1398487019real_c,SV868: finite1398487019real_c] :
      ( ( ( ~ ( member_c @ ( sK97_SY2672 @ SV868 @ SV424 @ SV961 ) @ SV961 )
          | ( ( finite772340578real_c @ SV424 @ ( sK97_SY2672 @ SV868 @ SV424 @ SV961 ) )
            = ( finite772340578real_c @ SV868 @ ( sK97_SY2672 @ SV868 @ SV424 @ SV961 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( denota256060419gree_c @ SV424 @ SV868 @ SV961 )
              | ~ ! [SY2672: c] :
                    ( ~ ( member_c @ SY2672 @ SV961 )
                    | ( ( finite772340578real_c @ SV424 @ SY2672 )
                      = ( finite772340578real_c @ SV868 @ SY2672 ) ) ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[4548]) ).

thf(4763,plain,
    ! [SV869: set_Sum_sum_c_d,SV430: set_Sum_sum_c_d] :
      ( ( ( ord_le764260924um_c_d @ SV430 @ SV869 )
        = $true )
      | ( ( ord_le764260924um_c_d @ SV430 @ SV869 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4549]) ).

thf(4764,plain,
    ! [SV869: set_Sum_sum_c_d,SV430: set_Sum_sum_c_d] :
      ( ( ( ! [SY2624: sum_sum_c_d] :
              ( ~ ( member_Sum_sum_c_d @ SY2624 @ SV430 )
              | ( member_Sum_sum_c_d @ SY2624 @ SV869 ) ) )
        = $true )
      | ( ( ord_le764260924um_c_d @ SV430 @ SV869 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4550]) ).

thf(4765,plain,
    ! [SV430: set_Sum_sum_c_d,SV869: set_Sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ ( sK84_SY2624 @ SV869 @ SV430 ) @ SV430 )
        = $true )
      | ( ( ~ ( ~ ( ord_le764260924um_c_d @ SV430 @ SV869 )
              | ~ ! [SY2624: sum_sum_c_d] :
                    ( ~ ( member_Sum_sum_c_d @ SY2624 @ SV430 )
                    | ( member_Sum_sum_c_d @ SY2624 @ SV869 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4551]) ).

thf(4766,plain,
    ! [SV869: set_Sum_sum_c_d,SV430: set_Sum_sum_c_d] :
      ( ( ( ~ ( ord_le764260924um_c_d @ SV430 @ SV869 )
          | ~ ! [SY2624: sum_sum_c_d] :
                ( ~ ( member_Sum_sum_c_d @ SY2624 @ SV430 )
                | ( member_Sum_sum_c_d @ SY2624 @ SV869 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_d @ ( sK84_SY2624 @ SV869 @ SV430 ) @ SV869 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4552]) ).

thf(4767,plain,
    ! [SV129: c > sum_sum_c_c,SV683: sum_sum_c_c > $o,SV434: set_c,SV975: c] :
      ( ( ( member_c @ SV975 @ SV434 )
        = $false )
      | ( ( SV683 @ ( SV129 @ SV975 ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sK20_SY2418 @ SV683 @ SV434 @ SV129 ) @ ( image_c_Sum_sum_c_c @ SV129 @ SV434 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4553]) ).

thf(4768,plain,
    ! [SV871: set_re2066790124real_c,SV437: set_re2066790124real_c] :
      ( ( ( ord_le35002188real_c @ SV437 @ SV871 )
        = $true )
      | ( ( ord_le35002188real_c @ SV437 @ SV871 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4555]) ).

thf(4769,plain,
    ! [SV871: set_re2066790124real_c,SV437: set_re2066790124real_c] :
      ( ( ( ! [SY2625: real > finite1398487019real_c] :
              ( ~ ( member1321351885real_c @ SY2625 @ SV437 )
              | ( member1321351885real_c @ SY2625 @ SV871 ) ) )
        = $true )
      | ( ( ord_le35002188real_c @ SV437 @ SV871 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4556]) ).

thf(4770,plain,
    ! [SV437: set_re2066790124real_c,SV871: set_re2066790124real_c] :
      ( ( ( member1321351885real_c @ ( sK85_SY2625 @ SV871 @ SV437 ) @ SV437 )
        = $true )
      | ( ( ~ ( ~ ( ord_le35002188real_c @ SV437 @ SV871 )
              | ~ ! [SY2625: real > finite1398487019real_c] :
                    ( ~ ( member1321351885real_c @ SY2625 @ SV437 )
                    | ( member1321351885real_c @ SY2625 @ SV871 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4557]) ).

thf(4771,plain,
    ! [SV871: set_re2066790124real_c,SV437: set_re2066790124real_c] :
      ( ( ( ~ ( ord_le35002188real_c @ SV437 @ SV871 )
          | ~ ! [SY2625: real > finite1398487019real_c] :
                ( ~ ( member1321351885real_c @ SY2625 @ SV437 )
                | ( member1321351885real_c @ SY2625 @ SV871 ) ) )
        = $false )
      | ( ( member1321351885real_c @ ( sK85_SY2625 @ SV871 @ SV437 ) @ SV871 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4558]) ).

thf(4772,plain,
    ! [SV137: finite1398487019real_c > $o,SV442: finite1398487019real_c > $o] :
      ( ( ( SV442 @ ( sK6_SY2016 @ SV442 @ SV137 ) )
        = $false )
      | ( ( SV137 @ ( sK6_SY2016 @ SV442 @ SV137 ) )
        = $false )
      | ( ( ( collec230941376real_c @ SV137 )
          = ( collec230941376real_c @ SV442 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4560]) ).

thf(4773,plain,
    ! [SV446: finite1398487019real_c > $o,SV982: finite1398487019real_c,SV141: finite1398487019real_c > $o] :
      ( ( ( ~ ( SV141 @ SV982 ) )
        = $true )
      | ( ( SV446 @ SV982 )
        = $true )
      | ( ( ord_le1327118209real_c @ ( collec230941376real_c @ SV141 ) @ ( collec230941376real_c @ SV446 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4561]) ).

thf(4774,plain,
    ! [SV446: finite1398487019real_c > $o,SV141: finite1398487019real_c > $o] :
      ( ( ( ~ ( ord_le1327118209real_c @ ( collec230941376real_c @ SV141 ) @ ( collec230941376real_c @ SV446 ) ) )
        = $false )
      | ( ( SV141 @ ( sK64_SY2024 @ SV446 @ SV141 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4562]) ).

thf(4775,plain,
    ! [SV446: finite1398487019real_c > $o,SV141: finite1398487019real_c > $o] :
      ( ( ( ~ ! [SY2024: finite1398487019real_c] :
                ( ~ ( SV141 @ SY2024 )
                | ( SV446 @ SY2024 ) ) )
        = $false )
      | ( ( SV141 @ ( sK64_SY2024 @ SV446 @ SV141 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4562]) ).

thf(4776,plain,
    ! [SV446: finite1398487019real_c > $o,SV141: finite1398487019real_c > $o] :
      ( ( ( ord_le1327118209real_c @ ( collec230941376real_c @ SV141 ) @ ( collec230941376real_c @ SV446 ) )
        = $true )
      | ( ( SV446 @ ( sK64_SY2024 @ SV446 @ SV141 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4563]) ).

thf(4777,plain,
    ! [SV446: finite1398487019real_c > $o,SV141: finite1398487019real_c > $o] :
      ( ( ( ! [SY2024: finite1398487019real_c] :
              ( ~ ( SV141 @ SY2024 )
              | ( SV446 @ SY2024 ) ) )
        = $true )
      | ( ( SV446 @ ( sK64_SY2024 @ SV446 @ SV141 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4564]) ).

thf(4778,plain,
    ! [SV693: real > finite1398487019real_c,SV875: real > set_Fi1407883041real_c,SV143: set_real,SV448: real > finite1398487019real_c] :
      ( ( ( ~ ( ( member1321351885real_c @ SV448 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) )
              | ( member1321351885real_c @ SV693 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( member1321351885real_c @ SV448 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) )
              | ~ ( member1321351885real_c @ SV693 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) ) ) )
        = $true )
      | ( ( member_real @ ( sK66_SY2432 @ SV875 @ SV693 @ SV448 @ SV143 ) @ SV143 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4565]) ).

thf(4779,plain,
    ! [SV693: real > finite1398487019real_c,SV875: real > set_Fi1407883041real_c,SV143: set_real,SV448: real > finite1398487019real_c] :
      ( ( ( ( member1321351885real_c @ SV448 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) )
          | ( member1321351885real_c @ SV693 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) ) )
        = $false )
      | ( ( ~ ( ~ ( member1321351885real_c @ SV448 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) )
              | ~ ( member1321351885real_c @ SV693 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) ) ) )
        = $true )
      | ( ( ( SV448 @ ( sK66_SY2432 @ SV875 @ SV693 @ SV448 @ SV143 ) )
          = ( SV693 @ ( sK66_SY2432 @ SV875 @ SV693 @ SV448 @ SV143 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4567]) ).

thf(4780,plain,
    ! [SV699: set_Sum_sum_c_d,SV150: c > sum_sum_c_d,SV454: set_c,SV987: c] :
      ( ( ( ~ ( member_c @ SV987 @ SV454 )
          | ( member_Sum_sum_c_d @ ( SV150 @ SV987 ) @ SV699 ) )
        = $true )
      | ( ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV150 @ SV454 ) @ SV699 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[4571]) ).

thf(4781,plain,
    ! [SV699: set_Sum_sum_c_d,SV454: set_c,SV150: c > sum_sum_c_d] :
      ( ( ( ~ ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV150 @ SV454 ) @ SV699 )
          | ~ ! [SY2440: c] :
                ( ~ ( member_c @ SY2440 @ SV454 )
                | ( member_Sum_sum_c_d @ ( SV150 @ SY2440 ) @ SV699 ) ) )
        = $false )
      | ( ( member_c @ ( sK78_SY2440 @ SV699 @ SV150 @ SV454 ) @ SV454 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4572]) ).

thf(4782,plain,
    ! [SV699: set_Sum_sum_c_d,SV454: set_c,SV150: c > sum_sum_c_d] :
      ( ( ( ~ ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV150 @ SV454 ) @ SV699 ) )
        = $false )
      | ( ( member_Sum_sum_c_d @ ( SV150 @ ( sK78_SY2440 @ SV699 @ SV150 @ SV454 ) ) @ SV699 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4573]) ).

thf(4783,plain,
    ! [SV699: set_Sum_sum_c_d,SV150: c > sum_sum_c_d,SV454: set_c] :
      ( ( ( ~ ! [SY2440: c] :
                ( ~ ( member_c @ SY2440 @ SV454 )
                | ( member_Sum_sum_c_d @ ( SV150 @ SY2440 ) @ SV699 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_d @ ( SV150 @ ( sK78_SY2440 @ SV699 @ SV150 @ SV454 ) ) @ SV699 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4573]) ).

thf(4784,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $true )
      | ( ( ~ ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
               != ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
              | ~ ~ ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
                        | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
                    | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
                        | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4574]) ).

thf(4785,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          | ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $true )
      | ( ( ~ ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
               != ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
              | ~ ~ ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
                        | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
                    | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
                        | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4575]) ).

thf(4786,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
         != ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false )
      | ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          = ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4576]) ).

thf(4787,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ~ ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
                    | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
                | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
                    | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) ) )
        = $false )
      | ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          = ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4576]) ).

thf(4788,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
              | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) )
        = $true )
      | ( ( ~ ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
               != ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
              | ~ ~ ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
                        | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
                    | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
                        | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4577]) ).

thf(4789,plain,
    ! [SV706: set_Sum_sum_c_c,SV161: c > sum_sum_c_c,SV465: set_c,SV988: c] :
      ( ( ( ~ ( member_c @ SV988 @ SV465 )
          | ( member_Sum_sum_c_c @ ( SV161 @ SV988 ) @ SV706 ) )
        = $true )
      | ( ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV161 @ SV465 ) @ SV706 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[4580]) ).

thf(4790,plain,
    ! [SV706: set_Sum_sum_c_c,SV465: set_c,SV161: c > sum_sum_c_c] :
      ( ( ( ~ ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV161 @ SV465 ) @ SV706 )
          | ~ ! [SY2448: c] :
                ( ~ ( member_c @ SY2448 @ SV465 )
                | ( member_Sum_sum_c_c @ ( SV161 @ SY2448 ) @ SV706 ) ) )
        = $false )
      | ( ( member_c @ ( sK79_SY2448 @ SV706 @ SV161 @ SV465 ) @ SV465 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4581]) ).

thf(4791,plain,
    ! [SV706: set_Sum_sum_c_c,SV465: set_c,SV161: c > sum_sum_c_c] :
      ( ( ( ~ ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV161 @ SV465 ) @ SV706 ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( SV161 @ ( sK79_SY2448 @ SV706 @ SV161 @ SV465 ) ) @ SV706 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4582]) ).

thf(4792,plain,
    ! [SV706: set_Sum_sum_c_c,SV161: c > sum_sum_c_c,SV465: set_c] :
      ( ( ( ~ ! [SY2448: c] :
                ( ~ ( member_c @ SY2448 @ SV465 )
                | ( member_Sum_sum_c_c @ ( SV161 @ SY2448 ) @ SV706 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( SV161 @ ( sK79_SY2448 @ SV706 @ SV161 @ SV465 ) ) @ SV706 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4582]) ).

thf(4793,plain,
    ! [SV883: real,SV708: real,SV467: real,SV163: real] :
      ( ( ( ( set_or656347191t_real @ SV163 @ SV467 )
          = ( set_or656347191t_real @ SV708 @ SV883 ) )
        = $true )
      | ( ( ( set_or656347191t_real @ SV163 @ SV467 )
          = ( set_or656347191t_real @ SV708 @ SV883 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4583]) ).

thf(4794,plain,
    ! [SV883: real,SV467: real,SV708: real,SV163: real] :
      ( ( ( ~ ( ( SV163 != SV708 )
              | ( SV467 != SV883 ) )
          | ~ ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 )
              | ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) ) )
        = $true )
      | ( ( ( set_or656347191t_real @ SV163 @ SV467 )
          = ( set_or656347191t_real @ SV708 @ SV883 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4584]) ).

thf(4795,plain,
    ! [SV883: real,SV467: real,SV708: real,SV163: real] :
      ( ( ( SV163 != SV708 )
        = $true )
      | ( ( SV467 != SV883 )
        = $true )
      | ( ( ~ ( ( ( set_or656347191t_real @ SV163 @ SV467 )
               != ( set_or656347191t_real @ SV708 @ SV883 ) )
              | ~ ( ~ ( ( SV163 != SV708 )
                      | ( SV467 != SV883 ) )
                  | ~ ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 )
                      | ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4585]) ).

thf(4796,plain,
    ! [SV883: real,SV708: real,SV467: real,SV163: real] :
      ( ( ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 ) )
        = $true )
      | ( ( ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) )
        = $true )
      | ( ( ~ ( ( ( set_or656347191t_real @ SV163 @ SV467 )
               != ( set_or656347191t_real @ SV708 @ SV883 ) )
              | ~ ( ~ ( ( SV163 != SV708 )
                      | ( SV467 != SV883 ) )
                  | ~ ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 )
                      | ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4586]) ).

thf(4797,plain,
    ! [SV962: set_Sum_sum_c_c,SV886: produc190496183real_c,SV481: produc190496183real_c] :
      ( ( ( ~ ( denota1997846518gree_c @ SV481 @ SV886 @ SV962 )
          | ~ ~ ( ~ ! [SY2673: c] :
                      ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2673 ) @ SV962 )
                      | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2673 )
                        = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2673 ) ) )
                | ~ ! [SY2674: c] :
                      ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
                      | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                        = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) ) )
        = $false )
      | ( ( denota1997846518gree_c @ SV481 @ SV886 @ SV962 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4587]) ).

thf(4798,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c] :
      ( ( ( ~ ! [SY2673: c] :
                ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2673 ) @ SV962 )
                | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2673 )
                  = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2673 ) ) )
          | ~ ! [SY2674: c] :
                ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
                | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                  = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( denota1997846518gree_c @ SV481 @ SV886 @ SV962 )
              | ~ ~ ( ~ ! [SY2673: c] :
                          ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2673 ) @ SV962 )
                          | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2673 )
                            = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2673 ) ) )
                    | ~ ! [SY2674: c] :
                          ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
                          | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                            = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4588]) ).

thf(4799,plain,
    ( ( ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
      = $true )
    | ( ( ( finite772340578real_c
          @ ( produc2010422875real_c
            @ ( denota161327353_a_b_c @ i @ oDEa
              @ ( produc394644079real_c
                @ ( finite557796307c_real
                  @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                @ bb )
              @ ( finite557796307c_real
                @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
          @ i2 )
        = ( finite772340578real_c @ ab @ i2 ) )
      = $true )
    | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4590]) ).

thf(4800,plain,
    ( ( ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
      = $true )
    | ( ( ( finite772340578real_c
          @ ( produc2010422875real_c
            @ ( denota161327353_a_b_c @ i @ oDEa
              @ ( produc394644079real_c
                @ ( finite557796307c_real
                  @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                @ bb )
              @ ( finite557796307c_real
                @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
          @ i2 )
        = ( finite772340578real_c @ ab @ i2 ) )
      = $true )
    | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4592]) ).

thf(4801,plain,
    ! [SV887: finite1398487019real_c,SV724: finite1398487019real_c,SV487: finite1398487019real_c,SV184: finite1398487019real_c] :
      ( ( ( ( produc394644079real_c @ SV184 @ SV487 )
          = ( produc394644079real_c @ SV724 @ SV887 ) )
        = $true )
      | ( ( ( produc394644079real_c @ SV184 @ SV487 )
          = ( produc394644079real_c @ SV724 @ SV887 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4593]) ).

thf(4802,plain,
    ! [SV887: finite1398487019real_c,SV487: finite1398487019real_c,SV724: finite1398487019real_c,SV184: finite1398487019real_c] :
      ( ( ( ~ ( ( SV184 != SV724 )
              | ( SV487 != SV887 ) ) )
        = $true )
      | ( ( ( produc394644079real_c @ SV184 @ SV487 )
          = ( produc394644079real_c @ SV724 @ SV887 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4594]) ).

thf(4803,plain,
    ! [SV887: finite1398487019real_c,SV487: finite1398487019real_c,SV724: finite1398487019real_c,SV184: finite1398487019real_c] :
      ( ( ( SV184 = SV724 )
        = $false )
      | ( ( SV487 != SV887 )
        = $true )
      | ( ( ~ ( ( ( produc394644079real_c @ SV184 @ SV487 )
               != ( produc394644079real_c @ SV724 @ SV887 ) )
              | ~ ~ ( ( SV184 != SV724 )
                    | ( SV487 != SV887 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4595]) ).

thf(4804,plain,
    ! [SV889: set_Sum_sum_c_c,SV494: set_Sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ SV494 @ SV889 )
        = $true )
      | ( ( ord_le1772180283um_c_c @ SV494 @ SV889 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4596]) ).

thf(4805,plain,
    ! [SV889: set_Sum_sum_c_c,SV494: set_Sum_sum_c_c] :
      ( ( ( ! [SY2635: sum_sum_c_c] :
              ( ~ ( member_Sum_sum_c_c @ SY2635 @ SV494 )
              | ( member_Sum_sum_c_c @ SY2635 @ SV889 ) ) )
        = $true )
      | ( ( ord_le1772180283um_c_c @ SV494 @ SV889 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4597]) ).

thf(4806,plain,
    ! [SV494: set_Sum_sum_c_c,SV889: set_Sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ ( sK86_SY2635 @ SV889 @ SV494 ) @ SV494 )
        = $true )
      | ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV494 @ SV889 )
              | ~ ! [SY2635: sum_sum_c_c] :
                    ( ~ ( member_Sum_sum_c_c @ SY2635 @ SV494 )
                    | ( member_Sum_sum_c_c @ SY2635 @ SV889 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4598]) ).

thf(4807,plain,
    ! [SV889: set_Sum_sum_c_c,SV494: set_Sum_sum_c_c] :
      ( ( ( ~ ( ord_le1772180283um_c_c @ SV494 @ SV889 )
          | ~ ! [SY2635: sum_sum_c_c] :
                ( ~ ( member_Sum_sum_c_c @ SY2635 @ SV494 )
                | ( member_Sum_sum_c_c @ SY2635 @ SV889 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( sK86_SY2635 @ SV889 @ SV494 ) @ SV889 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4599]) ).

thf(4808,plain,
    ! [SV892: set_Sum_sum_c_c,SV501: set_Sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ SV501 @ SV892 )
        = $true )
      | ( ( ord_le1772180283um_c_c @ SV501 @ SV892 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4600]) ).

thf(4809,plain,
    ! [SV892: set_Sum_sum_c_c,SV501: set_Sum_sum_c_c] :
      ( ( ( ! [SY2636: sum_sum_c_c] :
              ( ~ ( member_Sum_sum_c_c @ SY2636 @ SV501 )
              | ( member_Sum_sum_c_c @ SY2636 @ SV892 ) ) )
        = $true )
      | ( ( ord_le1772180283um_c_c @ SV501 @ SV892 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4601]) ).

thf(4810,plain,
    ! [SV501: set_Sum_sum_c_c,SV892: set_Sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ ( sK87_SY2636 @ SV892 @ SV501 ) @ SV501 )
        = $true )
      | ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV501 @ SV892 )
              | ~ ! [SY2636: sum_sum_c_c] :
                    ( ~ ( member_Sum_sum_c_c @ SY2636 @ SV501 )
                    | ( member_Sum_sum_c_c @ SY2636 @ SV892 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4602]) ).

thf(4811,plain,
    ! [SV892: set_Sum_sum_c_c,SV501: set_Sum_sum_c_c] :
      ( ( ( ~ ( ord_le1772180283um_c_c @ SV501 @ SV892 )
          | ~ ! [SY2636: sum_sum_c_c] :
                ( ~ ( member_Sum_sum_c_c @ SY2636 @ SV501 )
                | ( member_Sum_sum_c_c @ SY2636 @ SV892 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( sK87_SY2636 @ SV892 @ SV501 ) @ SV892 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4603]) ).

thf(4812,plain,
    ! [SV899: set_c,SV514: set_c] :
      ( ( ( ord_less_eq_set_c @ SV514 @ SV899 )
        = $true )
      | ( ( ord_less_eq_set_c @ SV514 @ SV899 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4605]) ).

thf(4813,plain,
    ! [SV899: set_c,SV514: set_c] :
      ( ( ( ! [SY2637: c] :
              ( ~ ( member_c @ SY2637 @ SV514 )
              | ( member_c @ SY2637 @ SV899 ) ) )
        = $true )
      | ( ( ord_less_eq_set_c @ SV514 @ SV899 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4606]) ).

thf(4814,plain,
    ! [SV514: set_c,SV899: set_c] :
      ( ( ( member_c @ ( sK88_SY2637 @ SV899 @ SV514 ) @ SV514 )
        = $true )
      | ( ( ~ ( ~ ( ord_less_eq_set_c @ SV514 @ SV899 )
              | ~ ! [SY2637: c] :
                    ( ~ ( member_c @ SY2637 @ SV514 )
                    | ( member_c @ SY2637 @ SV899 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4607]) ).

thf(4815,plain,
    ! [SV899: set_c,SV514: set_c] :
      ( ( ( ~ ( ord_less_eq_set_c @ SV514 @ SV899 )
          | ~ ! [SY2637: c] :
                ( ~ ( member_c @ SY2637 @ SV514 )
                | ( member_c @ SY2637 @ SV899 ) ) )
        = $false )
      | ( ( member_c @ ( sK88_SY2637 @ SV899 @ SV514 ) @ SV899 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4608]) ).

thf(4816,plain,
    ! [SV745: real > finite1398487019real_c,SV212: real > finite1398487019real_c,SV515: real > finite1398487019real_c] :
      ( ( ( ~ ( ord_le584953750real_c @ SV515 @ SV212 )
          | ~ ( ord_le584953750real_c @ SV212 @ SV745 ) )
        = $false )
      | ( ( member1321351885real_c @ SV212 @ ( set_or1308937537real_c @ SV515 @ SV745 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4610]) ).

thf(4817,plain,
    ! [SV515: real > finite1398487019real_c,SV745: real > finite1398487019real_c,SV212: real > finite1398487019real_c] :
      ( ( ( ord_le584953750real_c @ SV212 @ SV745 )
        = $false )
      | ( ( ord_le584953750real_c @ SV515 @ SV212 )
        = $false )
      | ( ( ~ ( ~ ( member1321351885real_c @ SV212 @ ( set_or1308937537real_c @ SV515 @ SV745 ) )
              | ~ ~ ( ~ ( ord_le584953750real_c @ SV515 @ SV212 )
                    | ~ ( ord_le584953750real_c @ SV212 @ SV745 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4611]) ).

thf(4818,plain,
    ! [SV213: c > sum_sum_c_d,SV746: sum_sum_c_d > $o,SV516: set_c,SV976: c] :
      ( ( ( member_c @ SV976 @ SV516 )
        = $false )
      | ( ( SV746 @ ( SV213 @ SV976 ) )
        = $true )
      | ( ( member_Sum_sum_c_d @ ( sK38_SY2489 @ SV746 @ SV516 @ SV213 ) @ ( image_c_Sum_sum_c_d @ SV213 @ SV516 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4612]) ).

thf(4819,plain,
    ! [SV517: c > sum_sum_c_c,SV214: sum_sum_c_c,SV747: set_c] :
      ( ( ( ! [SY2491: c] :
              ~ ~ ( ~ ( member_c @ SY2491 @ SV747 )
                  | ( SV214
                   != ( SV517 @ SY2491 ) ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ SV214 @ ( image_c_Sum_sum_c_c @ SV517 @ SV747 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4615]) ).

thf(4820,plain,
    ! [SV517: c > sum_sum_c_c,SV214: sum_sum_c_c,SV747: set_c,SV977: c] :
      ( ( ( ~ ( member_c @ SV977 @ SV747 )
          | ( SV214
           != ( SV517 @ SV977 ) ) )
        = $true )
      | ( ( ~ ( ~ ( member_Sum_sum_c_c @ SV214 @ ( image_c_Sum_sum_c_c @ SV517 @ SV747 ) )
              | ~ ~ ! [SY2491: c] :
                      ~ ~ ( ~ ( member_c @ SY2491 @ SV747 )
                          | ( SV214
                           != ( SV517 @ SY2491 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4616]) ).

thf(4821,plain,
    ( ( ( ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
        | ( ( finite772340578real_c
            @ ( produc2010422875real_c
              @ ( denota161327353_a_b_c @ i @ oDEa
                @ ( produc394644079real_c
                  @ ( finite557796307c_real
                    @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                  @ bb )
                @ ( finite557796307c_real
                  @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
            @ i2 )
          = ( finite772340578real_c @ ( sol @ zero_zero_real ) @ i2 ) ) )
      = $true )
    | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $true )
    | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4617]) ).

thf(4822,plain,
    ( ( ( ~ ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
        | ( ( finite772340578real_c
            @ ( produc2010422875real_c
              @ ( denota161327353_a_b_c @ i @ oDEa
                @ ( produc394644079real_c
                  @ ( finite557796307c_real
                    @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                  @ bb )
                @ ( finite557796307c_real
                  @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
            @ i2 )
          = ( finite772340578real_c @ ab @ i2 ) ) )
      = $true )
    | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $true )
    | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4618]) ).

thf(4823,plain,
    ! [SV524: set_c,SV754: c > sum_sum_c_c,SV903: c > sum_sum_c_c,SV221: set_c] :
      ( ( ( member_c @ ( sK89_SY2638 @ SV221 @ SV903 @ SV754 @ SV524 ) @ SV524 )
        = $true )
      | ( ( ( image_c_Sum_sum_c_c @ SV754 @ SV221 )
          = ( image_c_Sum_sum_c_c @ SV903 @ SV524 ) )
        = $true )
      | ( ( SV221 = SV524 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4619]) ).

thf(4824,plain,
    ! [SV906: real,SV760: real,SV530: real,SV227: real] :
      ( ( ( ord_le1342644953l_real @ ( produc705216881l_real @ SV227 @ SV530 ) @ ( produc705216881l_real @ SV760 @ SV906 ) )
        = $true )
      | ( ( ord_le1342644953l_real @ ( produc705216881l_real @ SV227 @ SV530 ) @ ( produc705216881l_real @ SV760 @ SV906 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4621]) ).

thf(4825,plain,
    ! [SV906: real,SV530: real,SV760: real,SV227: real] :
      ( ( ( ~ ( ~ ( ord_less_eq_real @ SV227 @ SV760 )
              | ~ ( ord_less_eq_real @ SV530 @ SV906 ) ) )
        = $true )
      | ( ( ord_le1342644953l_real @ ( produc705216881l_real @ SV227 @ SV530 ) @ ( produc705216881l_real @ SV760 @ SV906 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4622]) ).

thf(4826,plain,
    ! [SV906: real,SV530: real,SV760: real,SV227: real] :
      ( ( ( ord_less_eq_real @ SV227 @ SV760 )
        = $false )
      | ( ( ~ ( ord_less_eq_real @ SV530 @ SV906 ) )
        = $true )
      | ( ( ~ ( ~ ( ord_le1342644953l_real @ ( produc705216881l_real @ SV227 @ SV530 ) @ ( produc705216881l_real @ SV760 @ SV906 ) )
              | ~ ~ ( ~ ( ord_less_eq_real @ SV227 @ SV760 )
                    | ~ ( ord_less_eq_real @ SV530 @ SV906 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4623]) ).

thf(4827,plain,
    ! [SV908: set_Sum_sum_c_d,SV534: set_Sum_sum_c_d] :
      ( ( ( ord_le764260924um_c_d @ SV534 @ SV908 )
        = $true )
      | ( ( ord_le764260924um_c_d @ SV534 @ SV908 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4624]) ).

thf(4828,plain,
    ! [SV908: set_Sum_sum_c_d,SV534: set_Sum_sum_c_d] :
      ( ( ( ! [SY2639: sum_sum_c_d] :
              ( ~ ( member_Sum_sum_c_d @ SY2639 @ SV534 )
              | ( member_Sum_sum_c_d @ SY2639 @ SV908 ) ) )
        = $true )
      | ( ( ord_le764260924um_c_d @ SV534 @ SV908 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4625]) ).

thf(4829,plain,
    ! [SV534: set_Sum_sum_c_d,SV908: set_Sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ ( sK90_SY2639 @ SV908 @ SV534 ) @ SV534 )
        = $true )
      | ( ( ~ ( ~ ( ord_le764260924um_c_d @ SV534 @ SV908 )
              | ~ ! [SY2639: sum_sum_c_d] :
                    ( ~ ( member_Sum_sum_c_d @ SY2639 @ SV534 )
                    | ( member_Sum_sum_c_d @ SY2639 @ SV908 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4626]) ).

thf(4830,plain,
    ! [SV908: set_Sum_sum_c_d,SV534: set_Sum_sum_c_d] :
      ( ( ( ~ ( ord_le764260924um_c_d @ SV534 @ SV908 )
          | ~ ! [SY2639: sum_sum_c_d] :
                ( ~ ( member_Sum_sum_c_d @ SY2639 @ SV534 )
                | ( member_Sum_sum_c_d @ SY2639 @ SV908 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_d @ ( sK90_SY2639 @ SV908 @ SV534 ) @ SV908 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4627]) ).

thf(4831,plain,
    ! [SV909: set_c,SV536: set_c] :
      ( ( ( ord_less_eq_set_c @ SV536 @ SV909 )
        = $true )
      | ( ( ord_less_eq_set_c @ SV536 @ SV909 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4628]) ).

thf(4832,plain,
    ! [SV909: set_c,SV536: set_c] :
      ( ( ( ! [SY2640: c] :
              ( ~ ( member_c @ SY2640 @ SV536 )
              | ( member_c @ SY2640 @ SV909 ) ) )
        = $true )
      | ( ( ord_less_eq_set_c @ SV536 @ SV909 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4629]) ).

thf(4833,plain,
    ! [SV536: set_c,SV909: set_c] :
      ( ( ( member_c @ ( sK91_SY2640 @ SV909 @ SV536 ) @ SV536 )
        = $true )
      | ( ( ~ ( ~ ( ord_less_eq_set_c @ SV536 @ SV909 )
              | ~ ! [SY2640: c] :
                    ( ~ ( member_c @ SY2640 @ SV536 )
                    | ( member_c @ SY2640 @ SV909 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4630]) ).

thf(4834,plain,
    ! [SV909: set_c,SV536: set_c] :
      ( ( ( ~ ( ord_less_eq_set_c @ SV536 @ SV909 )
          | ~ ! [SY2640: c] :
                ( ~ ( member_c @ SY2640 @ SV536 )
                | ( member_c @ SY2640 @ SV909 ) ) )
        = $false )
      | ( ( member_c @ ( sK91_SY2640 @ SV909 @ SV536 ) @ SV909 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4631]) ).

thf(4835,plain,
    ! [SV767: sum_sum_c_c > $o,SV538: set_c,SV235: c > sum_sum_c_c,SV966: sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ SV966 @ ( image_c_Sum_sum_c_c @ SV235 @ SV538 ) )
        = $false )
      | ( ( ~ ( SV767 @ SV966 ) )
        = $true )
      | ( ( ~ ! [SY2511: c] :
                ~ ~ ( ~ ( member_c @ SY2511 @ SV538 )
                    | ~ ( SV767 @ ( SV235 @ SY2511 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4632]) ).

thf(4836,plain,
    ! [SV914: produc190496183real_c,SV548: produc190496183real_c] :
      ( ( ( ord_le850691415real_c @ SV548 @ SV914 )
        = $true )
      | ( ( ord_le850691415real_c @ SV548 @ SV914 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4634]) ).

thf(4837,plain,
    ! [SV914: produc190496183real_c,SV548: produc190496183real_c] :
      ( ( ( ~ ( ~ ( ord_le775706699real_c @ ( produc2010422875real_c @ SV548 ) @ ( produc2010422875real_c @ SV914 ) )
              | ~ ( ord_le775706699real_c @ ( produc314122909real_c @ SV548 ) @ ( produc314122909real_c @ SV914 ) ) ) )
        = $true )
      | ( ( ord_le850691415real_c @ SV548 @ SV914 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4635]) ).

thf(4838,plain,
    ! [SV914: produc190496183real_c,SV548: produc190496183real_c] :
      ( ( ( ord_le775706699real_c @ ( produc2010422875real_c @ SV548 ) @ ( produc2010422875real_c @ SV914 ) )
        = $false )
      | ( ( ~ ( ord_le775706699real_c @ ( produc314122909real_c @ SV548 ) @ ( produc314122909real_c @ SV914 ) ) )
        = $true )
      | ( ( ~ ( ~ ( ord_le850691415real_c @ SV548 @ SV914 )
              | ~ ~ ( ~ ( ord_le775706699real_c @ ( produc2010422875real_c @ SV548 ) @ ( produc2010422875real_c @ SV914 ) )
                    | ~ ( ord_le775706699real_c @ ( produc314122909real_c @ SV548 ) @ ( produc314122909real_c @ SV914 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4636]) ).

thf(4839,plain,
    ! [SV553: c > $o,SV983: c,SV250: c > $o] :
      ( ( ( ~ ( SV250 @ SV983 ) )
        = $true )
      | ( ( SV553 @ SV983 )
        = $true )
      | ( ( ord_less_eq_set_c @ ( collect_c @ SV250 ) @ ( collect_c @ SV553 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4637]) ).

thf(4840,plain,
    ! [SV553: c > $o,SV250: c > $o] :
      ( ( ( ~ ( ord_less_eq_set_c @ ( collect_c @ SV250 ) @ ( collect_c @ SV553 ) ) )
        = $false )
      | ( ( SV250 @ ( sK72_SY2211 @ SV553 @ SV250 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4638]) ).

thf(4841,plain,
    ! [SV553: c > $o,SV250: c > $o] :
      ( ( ( ~ ! [SY2211: c] :
                ( ~ ( SV250 @ SY2211 )
                | ( SV553 @ SY2211 ) ) )
        = $false )
      | ( ( SV250 @ ( sK72_SY2211 @ SV553 @ SV250 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4638]) ).

thf(4842,plain,
    ! [SV553: c > $o,SV250: c > $o] :
      ( ( ( ord_less_eq_set_c @ ( collect_c @ SV250 ) @ ( collect_c @ SV553 ) )
        = $true )
      | ( ( SV553 @ ( sK72_SY2211 @ SV553 @ SV250 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4639]) ).

thf(4843,plain,
    ! [SV553: c > $o,SV250: c > $o] :
      ( ( ( ! [SY2211: c] :
              ( ~ ( SV250 @ SY2211 )
              | ( SV553 @ SY2211 ) ) )
        = $true )
      | ( ( SV553 @ ( sK72_SY2211 @ SV553 @ SV250 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4640]) ).

thf(4844,plain,
    ( ( ( ( produc394644079real_c @ aa @ ba )
       != ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
      = $true )
    | ( ( ~ ( initia1631504802real_c @ sol
            @ ^ [SX0: real] : ( denota1275485728_a_b_c @ i @ oDEa )
            @ ( set_or656347191t_real @ zero_zero_real @ t )
            @ ( collec230941376real_c
              @ ^ [SX0: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ SX0 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) )
        | ~ ( denota256060419gree_c @ ( sol @ zero_zero_real ) @ ab
            @ ( collect_c
              @ ^ [SX0: c] :
                  ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_BVO_a_c @ oDEa ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( static_FVO_a_c @ oDEa ) ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_FVF_a_b_c @ phi ) ) ) ) )
        | ( ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) )
          = ( denota161327353_a_b_c @ i @ oDEa
            @ ( produc394644079real_c
              @ ( finite557796307c_real
                @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
              @ bb )
            @ ( finite557796307c_real
              @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ t ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) ) )
      = $true )
    | ( ( ord_less_eq_real @ zero_zero_real @ t )
      = $false )
    | ( ( p = phi )
      = $false )
    | ( ( ode = oDEa )
      = $false )
    | ( ( fsafe_a_b_c @ phi )
      = $false )
    | ( ( osafe_a_c @ oDEa )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4641]) ).

thf(4845,plain,
    ! [SV253: c > $o,SV556: c > $o] :
      ( ( ( SV556 @ ( sK11_SY2213 @ SV556 @ SV253 ) )
        = $false )
      | ( ( SV253 @ ( sK11_SY2213 @ SV556 @ SV253 ) )
        = $false )
      | ( ( ( collect_c @ SV253 )
          = ( collect_c @ SV556 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4642]) ).

thf(4846,plain,
    ( ( ( ( produc394644079real_c @ aa @ ba )
       != ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
      = $true )
    | ( ( ~ ( initia1631504802real_c @ sol
            @ ^ [SX0: real] : ( denota1275485728_a_b_c @ i @ oDEa )
            @ ( set_or656347191t_real @ zero_zero_real @ t )
            @ ( collec230941376real_c
              @ ^ [SX0: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ SX0 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) )
        | ~ ( denota256060419gree_c @ ( sol @ zero_zero_real ) @ ab
            @ ( collect_c
              @ ^ [SX0: c] :
                  ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_BVO_a_c @ oDEa ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( static_FVO_a_c @ oDEa ) ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_FVF_a_b_c @ phi ) ) ) ) )
        | ( ord_less_eq_real @ zero_zero_real @ t ) )
      = $true )
    | ( ( ord_less_eq_real @ zero_zero_real @ t )
      = $false )
    | ( ( p = phi )
      = $false )
    | ( ( ode = oDEa )
      = $false )
    | ( ( fsafe_a_b_c @ phi )
      = $false )
    | ( ( osafe_a_c @ oDEa )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4643]) ).

thf(4847,plain,
    ! [SV925: real,SV797: real,SV576: real,SV271: real] :
      ( ( ( ord_less_eq_set_real @ ( set_or656347191t_real @ SV271 @ SV576 ) @ ( set_or656347191t_real @ SV797 @ SV925 ) )
        = $true )
      | ( ( ord_less_eq_set_real @ ( set_or656347191t_real @ SV271 @ SV576 ) @ ( set_or656347191t_real @ SV797 @ SV925 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4647]) ).

thf(4848,plain,
    ! [SV925: real,SV797: real,SV576: real,SV271: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV271 @ SV576 )
          | ~ ( ~ ( ord_less_eq_real @ SV797 @ SV271 )
              | ~ ( ord_less_eq_real @ SV576 @ SV925 ) ) )
        = $true )
      | ( ( ord_less_eq_set_real @ ( set_or656347191t_real @ SV271 @ SV576 ) @ ( set_or656347191t_real @ SV797 @ SV925 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4648]) ).

thf(4849,plain,
    ! [SV925: real,SV797: real,SV576: real,SV271: real] :
      ( ( ( ~ ( ord_less_eq_set_real @ ( set_or656347191t_real @ SV271 @ SV576 ) @ ( set_or656347191t_real @ SV797 @ SV925 ) )
          | ~ ( ~ ( ord_less_eq_real @ SV271 @ SV576 )
              | ~ ( ~ ( ord_less_eq_real @ SV797 @ SV271 )
                  | ~ ( ord_less_eq_real @ SV576 @ SV925 ) ) ) )
        = $false )
      | ( ( ord_less_eq_real @ SV271 @ SV576 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4649]) ).

thf(4850,plain,
    ! [SV925: real,SV576: real,SV271: real,SV797: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV797 @ SV271 ) )
        = $true )
      | ( ( ~ ( ord_less_eq_real @ SV576 @ SV925 ) )
        = $true )
      | ( ( ~ ( ~ ( ord_less_eq_set_real @ ( set_or656347191t_real @ SV271 @ SV576 ) @ ( set_or656347191t_real @ SV797 @ SV925 ) )
              | ~ ( ~ ( ord_less_eq_real @ SV271 @ SV576 )
                  | ~ ( ~ ( ord_less_eq_real @ SV797 @ SV271 )
                      | ~ ( ord_less_eq_real @ SV576 @ SV925 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4650]) ).

thf(4851,plain,
    ! [SV926: set_re2066790124real_c,SV577: set_re2066790124real_c] :
      ( ( ( ord_le35002188real_c @ SV577 @ SV926 )
        = $true )
      | ( ( ord_le35002188real_c @ SV577 @ SV926 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4651]) ).

thf(4852,plain,
    ! [SV926: set_re2066790124real_c,SV577: set_re2066790124real_c] :
      ( ( ( ! [SY2643: real > finite1398487019real_c] :
              ( ~ ( member1321351885real_c @ SY2643 @ SV577 )
              | ( member1321351885real_c @ SY2643 @ SV926 ) ) )
        = $true )
      | ( ( ord_le35002188real_c @ SV577 @ SV926 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4652]) ).

thf(4853,plain,
    ! [SV577: set_re2066790124real_c,SV926: set_re2066790124real_c] :
      ( ( ( member1321351885real_c @ ( sK92_SY2643 @ SV926 @ SV577 ) @ SV577 )
        = $true )
      | ( ( ~ ( ~ ( ord_le35002188real_c @ SV577 @ SV926 )
              | ~ ! [SY2643: real > finite1398487019real_c] :
                    ( ~ ( member1321351885real_c @ SY2643 @ SV577 )
                    | ( member1321351885real_c @ SY2643 @ SV926 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4653]) ).

thf(4854,plain,
    ! [SV926: set_re2066790124real_c,SV577: set_re2066790124real_c] :
      ( ( ( ~ ( ord_le35002188real_c @ SV577 @ SV926 )
          | ~ ! [SY2643: real > finite1398487019real_c] :
                ( ~ ( member1321351885real_c @ SY2643 @ SV577 )
                | ( member1321351885real_c @ SY2643 @ SV926 ) ) )
        = $false )
      | ( ( member1321351885real_c @ ( sK92_SY2643 @ SV926 @ SV577 ) @ SV926 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4654]) ).

thf(4855,plain,
    ! [SV927: set_Pr1389752855real_c,SV578: set_Pr1389752855real_c] :
      ( ( ( ord_le977353143real_c @ SV578 @ SV927 )
        = $true )
      | ( ( ord_le977353143real_c @ SV578 @ SV927 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4655]) ).

thf(4856,plain,
    ! [SV927: set_Pr1389752855real_c,SV578: set_Pr1389752855real_c] :
      ( ( ( ! [SY2644: produc190496183real_c] :
              ( ~ ( member1895684704real_c @ SY2644 @ SV578 )
              | ( member1895684704real_c @ SY2644 @ SV927 ) ) )
        = $true )
      | ( ( ord_le977353143real_c @ SV578 @ SV927 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4656]) ).

thf(4857,plain,
    ! [SV578: set_Pr1389752855real_c,SV927: set_Pr1389752855real_c] :
      ( ( ( member1895684704real_c @ ( sK93_SY2644 @ SV927 @ SV578 ) @ SV578 )
        = $true )
      | ( ( ~ ( ~ ( ord_le977353143real_c @ SV578 @ SV927 )
              | ~ ! [SY2644: produc190496183real_c] :
                    ( ~ ( member1895684704real_c @ SY2644 @ SV578 )
                    | ( member1895684704real_c @ SY2644 @ SV927 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4657]) ).

thf(4858,plain,
    ! [SV927: set_Pr1389752855real_c,SV578: set_Pr1389752855real_c] :
      ( ( ( ~ ( ord_le977353143real_c @ SV578 @ SV927 )
          | ~ ! [SY2644: produc190496183real_c] :
                ( ~ ( member1895684704real_c @ SY2644 @ SV578 )
                | ( member1895684704real_c @ SY2644 @ SV927 ) ) )
        = $false )
      | ( ( member1895684704real_c @ ( sK93_SY2644 @ SV927 @ SV578 ) @ SV927 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4658]) ).

thf(4859,plain,
    ! [SV937: produc957004601l_real,SV606: produc957004601l_real] :
      ( ( ( ord_le1342644953l_real @ SV606 @ SV937 )
        = $true )
      | ( ( ord_le1342644953l_real @ SV606 @ SV937 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4663]) ).

thf(4860,plain,
    ! [SV937: produc957004601l_real,SV606: produc957004601l_real] :
      ( ( ( ~ ( ~ ( ord_less_eq_real @ ( produc1422991709l_real @ SV606 ) @ ( produc1422991709l_real @ SV937 ) )
              | ~ ( ord_less_eq_real @ ( produc1407670175l_real @ SV606 ) @ ( produc1407670175l_real @ SV937 ) ) ) )
        = $true )
      | ( ( ord_le1342644953l_real @ SV606 @ SV937 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4664]) ).

thf(4861,plain,
    ! [SV937: produc957004601l_real,SV606: produc957004601l_real] :
      ( ( ( ord_less_eq_real @ ( produc1422991709l_real @ SV606 ) @ ( produc1422991709l_real @ SV937 ) )
        = $false )
      | ( ( ~ ( ord_less_eq_real @ ( produc1407670175l_real @ SV606 ) @ ( produc1407670175l_real @ SV937 ) ) )
        = $true )
      | ( ( ~ ( ~ ( ord_le1342644953l_real @ SV606 @ SV937 )
              | ~ ~ ( ~ ( ord_less_eq_real @ ( produc1422991709l_real @ SV606 ) @ ( produc1422991709l_real @ SV937 ) )
                    | ~ ( ord_less_eq_real @ ( produc1407670175l_real @ SV606 ) @ ( produc1407670175l_real @ SV937 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4665]) ).

thf(4862,plain,
    ! [SV608: produc190496183real_c,SV304: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV304 @ ( denota968303861_a_b_c @ i @ p ) )
        = $true )
      | ( ( member1895684704real_c @ SV304 @ ( denota968303861_a_b_c @ i @ p ) )
        = $false )
      | ( ( denota1997846518gree_c @ SV304 @ SV608 @ ( static_FVF_a_b_c @ p ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4666]) ).

thf(4863,plain,
    ! [SV304: produc190496183real_c,SV608: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV608 @ ( denota968303861_a_b_c @ i @ p ) )
        = $true )
      | ( ( member1895684704real_c @ SV304 @ ( denota968303861_a_b_c @ i @ p ) )
        = $false )
      | ( ( denota1997846518gree_c @ SV304 @ SV608 @ ( static_FVF_a_b_c @ p ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4667]) ).

thf(4864,plain,
    ! [SV608: produc190496183real_c,SV304: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV304 @ ( denota968303861_a_b_c @ i @ p ) )
        = $true )
      | ( ( member1895684704real_c @ SV608 @ ( denota968303861_a_b_c @ i @ p ) )
        = $false )
      | ( ( denota1997846518gree_c @ SV304 @ SV608 @ ( static_FVF_a_b_c @ p ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4668]) ).

thf(4865,plain,
    ! [SV304: produc190496183real_c,SV608: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV608 @ ( denota968303861_a_b_c @ i @ p ) )
        = $true )
      | ( ( member1895684704real_c @ SV608 @ ( denota968303861_a_b_c @ i @ p ) )
        = $false )
      | ( ( denota1997846518gree_c @ SV304 @ SV608 @ ( static_FVF_a_b_c @ p ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4669]) ).

thf(4866,plain,
    ! [SV609: set_c,SV826: c > sum_sum_c_d,SV938: c > sum_sum_c_d,SV305: set_c] :
      ( ( ( member_c @ ( sK94_SY2646 @ SV305 @ SV938 @ SV826 @ SV609 ) @ SV609 )
        = $true )
      | ( ( ( image_c_Sum_sum_c_d @ SV826 @ SV305 )
          = ( image_c_Sum_sum_c_d @ SV938 @ SV609 ) )
        = $true )
      | ( ( SV305 = SV609 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4670]) ).

thf(4867,plain,
    ! [SV941: finite1398487019real_c,SV831: finite1398487019real_c,SV619: finite1398487019real_c,SV315: finite1398487019real_c] :
      ( ( ( ord_le850691415real_c @ ( produc394644079real_c @ SV315 @ SV619 ) @ ( produc394644079real_c @ SV831 @ SV941 ) )
        = $true )
      | ( ( ord_le850691415real_c @ ( produc394644079real_c @ SV315 @ SV619 ) @ ( produc394644079real_c @ SV831 @ SV941 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4673]) ).

thf(4868,plain,
    ! [SV941: finite1398487019real_c,SV619: finite1398487019real_c,SV831: finite1398487019real_c,SV315: finite1398487019real_c] :
      ( ( ( ~ ( ~ ( ord_le775706699real_c @ SV315 @ SV831 )
              | ~ ( ord_le775706699real_c @ SV619 @ SV941 ) ) )
        = $true )
      | ( ( ord_le850691415real_c @ ( produc394644079real_c @ SV315 @ SV619 ) @ ( produc394644079real_c @ SV831 @ SV941 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4674]) ).

thf(4869,plain,
    ! [SV941: finite1398487019real_c,SV619: finite1398487019real_c,SV831: finite1398487019real_c,SV315: finite1398487019real_c] :
      ( ( ( ord_le775706699real_c @ SV315 @ SV831 )
        = $false )
      | ( ( ~ ( ord_le775706699real_c @ SV619 @ SV941 ) )
        = $true )
      | ( ( ~ ( ~ ( ord_le850691415real_c @ ( produc394644079real_c @ SV315 @ SV619 ) @ ( produc394644079real_c @ SV831 @ SV941 ) )
              | ~ ~ ( ~ ( ord_le775706699real_c @ SV315 @ SV831 )
                    | ~ ( ord_le775706699real_c @ SV619 @ SV941 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4675]) ).

thf(4870,plain,
    ! [SV832: real > set_Fi1407883041real_c,SV316: real > finite1398487019real_c,SV620: set_real,SV989: real] :
      ( ( ( ~ ( member_real @ SV989 @ SV620 )
          | ( member1261661570real_c @ ( SV316 @ SV989 ) @ ( SV832 @ SV989 ) ) )
        = $true )
      | ( ( member1321351885real_c @ SV316 @ ( pi_rea1111636068real_c @ SV620 @ SV832 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[4677]) ).

thf(4871,plain,
    ! [SV832: real > set_Fi1407883041real_c,SV620: set_real,SV316: real > finite1398487019real_c] :
      ( ( ( ~ ( member1321351885real_c @ SV316 @ ( pi_rea1111636068real_c @ SV620 @ SV832 ) )
          | ~ ! [SY2577: real] :
                ( ~ ( member_real @ SY2577 @ SV620 )
                | ( member1261661570real_c @ ( SV316 @ SY2577 ) @ ( SV832 @ SY2577 ) ) ) )
        = $false )
      | ( ( member_real @ ( sK81_SY2577 @ SV832 @ SV316 @ SV620 ) @ SV620 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4678]) ).

thf(4872,plain,
    ! [SV832: real > set_Fi1407883041real_c,SV620: set_real,SV316: real > finite1398487019real_c] :
      ( ( ( ~ ( member1321351885real_c @ SV316 @ ( pi_rea1111636068real_c @ SV620 @ SV832 ) ) )
        = $false )
      | ( ( member1261661570real_c @ ( SV316 @ ( sK81_SY2577 @ SV832 @ SV316 @ SV620 ) ) @ ( SV832 @ ( sK81_SY2577 @ SV832 @ SV316 @ SV620 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4679]) ).

thf(4873,plain,
    ! [SV832: real > set_Fi1407883041real_c,SV316: real > finite1398487019real_c,SV620: set_real] :
      ( ( ( ~ ! [SY2577: real] :
                ( ~ ( member_real @ SY2577 @ SV620 )
                | ( member1261661570real_c @ ( SV316 @ SY2577 ) @ ( SV832 @ SY2577 ) ) ) )
        = $false )
      | ( ( member1261661570real_c @ ( SV316 @ ( sK81_SY2577 @ SV832 @ SV316 @ SV620 ) ) @ ( SV832 @ ( sK81_SY2577 @ SV832 @ SV316 @ SV620 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4679]) ).

thf(4874,plain,
    ! [SV944: produc190496183real_c,SV627: produc190496183real_c] :
      ( ( ( SV627 = SV944 )
        = $true )
      | ( ( SV627 = SV944 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4681]) ).

thf(4875,plain,
    ! [SV944: produc190496183real_c,SV627: produc190496183real_c] :
      ( ( ( ~ ( ( ( produc2010422875real_c @ SV627 )
               != ( produc2010422875real_c @ SV944 ) )
              | ( ( produc314122909real_c @ SV627 )
               != ( produc314122909real_c @ SV944 ) ) ) )
        = $true )
      | ( ( SV627 = SV944 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4682]) ).

thf(4876,plain,
    ! [SV944: produc190496183real_c,SV627: produc190496183real_c] :
      ( ( ( ( produc2010422875real_c @ SV627 )
          = ( produc2010422875real_c @ SV944 ) )
        = $false )
      | ( ( ( produc314122909real_c @ SV627 )
         != ( produc314122909real_c @ SV944 ) )
        = $true )
      | ( ( ~ ( ( SV627 != SV944 )
              | ~ ~ ( ( ( produc2010422875real_c @ SV627 )
                     != ( produc2010422875real_c @ SV944 ) )
                    | ( ( produc314122909real_c @ SV627 )
                     != ( produc314122909real_c @ SV944 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4683]) ).

thf(4877,plain,
    ! [SV945: set_Pr1389752855real_c,SV628: set_Pr1389752855real_c] :
      ( ( ( ord_le977353143real_c @ SV628 @ SV945 )
        = $true )
      | ( ( ord_le977353143real_c @ SV628 @ SV945 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4684]) ).

thf(4878,plain,
    ! [SV945: set_Pr1389752855real_c,SV628: set_Pr1389752855real_c] :
      ( ( ( ! [SY2647: produc190496183real_c] :
              ( ~ ( member1895684704real_c @ SY2647 @ SV628 )
              | ( member1895684704real_c @ SY2647 @ SV945 ) ) )
        = $true )
      | ( ( ord_le977353143real_c @ SV628 @ SV945 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4685]) ).

thf(4879,plain,
    ! [SV628: set_Pr1389752855real_c,SV945: set_Pr1389752855real_c] :
      ( ( ( member1895684704real_c @ ( sK95_SY2647 @ SV945 @ SV628 ) @ SV628 )
        = $true )
      | ( ( ~ ( ~ ( ord_le977353143real_c @ SV628 @ SV945 )
              | ~ ! [SY2647: produc190496183real_c] :
                    ( ~ ( member1895684704real_c @ SY2647 @ SV628 )
                    | ( member1895684704real_c @ SY2647 @ SV945 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4686]) ).

thf(4880,plain,
    ! [SV945: set_Pr1389752855real_c,SV628: set_Pr1389752855real_c] :
      ( ( ( ~ ( ord_le977353143real_c @ SV628 @ SV945 )
          | ~ ! [SY2647: produc190496183real_c] :
                ( ~ ( member1895684704real_c @ SY2647 @ SV628 )
                | ( member1895684704real_c @ SY2647 @ SV945 ) ) )
        = $false )
      | ( ( member1895684704real_c @ ( sK95_SY2647 @ SV945 @ SV628 ) @ SV945 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4687]) ).

thf(4881,plain,
    ! [SV631: c > sum_sum_c_c,SV327: set_Sum_sum_c_c,SV842: set_c] :
      ( ( ( ! [SY2581: set_c] :
              ~ ~ ( ~ ( ord_less_eq_set_c @ SY2581 @ SV842 )
                  | ( SV327
                   != ( image_c_Sum_sum_c_c @ SV631 @ SY2581 ) ) ) )
        = $false )
      | ( ( ord_le1772180283um_c_c @ SV327 @ ( image_c_Sum_sum_c_c @ SV631 @ SV842 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4689]) ).

thf(4882,plain,
    ! [SV631: c > sum_sum_c_c,SV327: set_Sum_sum_c_c,SV842: set_c,SV979: set_c] :
      ( ( ( ~ ( ord_less_eq_set_c @ SV979 @ SV842 )
          | ( SV327
           != ( image_c_Sum_sum_c_c @ SV631 @ SV979 ) ) )
        = $true )
      | ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV327 @ ( image_c_Sum_sum_c_c @ SV631 @ SV842 ) )
              | ~ ~ ! [SY2581: set_c] :
                      ~ ~ ( ~ ( ord_less_eq_set_c @ SY2581 @ SV842 )
                          | ( SV327
                           != ( image_c_Sum_sum_c_c @ SV631 @ SY2581 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4690]) ).

thf(4883,plain,
    ! [SV844: sum_sum_c_d > $o,SV633: set_c,SV329: c > sum_sum_c_d,SV968: sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ SV968 @ ( image_c_Sum_sum_c_d @ SV329 @ SV633 ) )
        = $false )
      | ( ( ~ ( SV844 @ SV968 ) )
        = $true )
      | ( ( ~ ! [SY2585: c] :
                ~ ~ ( ~ ( member_c @ SY2585 @ SV633 )
                    | ~ ( SV844 @ ( SV329 @ SY2585 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4691]) ).

thf(4884,plain,
    ! [SV850: finite1398487019real_c,SV990: c,SV337: finite1398487019real_c] :
      ( ( ( ord_less_eq_real @ ( finite772340578real_c @ SV337 @ SV990 ) @ ( finite772340578real_c @ SV850 @ SV990 ) )
        = $true )
      | ( ( ord_le775706699real_c @ SV337 @ SV850 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[4693]) ).

thf(4885,plain,
    ! [SV850: finite1398487019real_c,SV337: finite1398487019real_c] :
      ( ( ( ord_le775706699real_c @ SV337 @ SV850 )
        = $true )
      | ( ( ord_less_eq_real @ ( finite772340578real_c @ SV337 @ ( sK82_SY2596 @ SV850 @ SV337 ) ) @ ( finite772340578real_c @ SV850 @ ( sK82_SY2596 @ SV850 @ SV337 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4694]) ).

thf(4886,plain,
    ! [SV850: finite1398487019real_c,SV337: finite1398487019real_c] :
      ( ( ( ! [SY2596: c] : ( ord_less_eq_real @ ( finite772340578real_c @ SV337 @ SY2596 ) @ ( finite772340578real_c @ SV850 @ SY2596 ) ) )
        = $true )
      | ( ( ord_less_eq_real @ ( finite772340578real_c @ SV337 @ ( sK82_SY2596 @ SV850 @ SV337 ) ) @ ( finite772340578real_c @ SV850 @ ( sK82_SY2596 @ SV850 @ SV337 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4695]) ).

thf(4887,plain,
    ! [SV338: finite1398487019real_c,SV7: finite1398487019real_c] :
      ( ( ( ! [SV991: c] :
              ( ( finite772340578real_c @ SV7 @ SV991 )
              = ( finite772340578real_c @ SV338 @ SV991 ) ) )
        = $true )
      | ( ( ( finite772340578real_c @ SV7 @ ( sK77_SV963 @ SV338 @ SV7 ) )
          = ( finite772340578real_c @ SV338 @ ( sK77_SV963 @ SV338 @ SV7 ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[4696]) ).

thf(4888,plain,
    ! [SV338: finite1398487019real_c,SV7: finite1398487019real_c] :
      ( ( ( ( finite772340578real_c @ SV7 )
          = ( finite772340578real_c @ SV338 ) )
        = $true )
      | ( ( ( finite772340578real_c @ SV7 @ ( sK77_SV963 @ SV338 @ SV7 ) )
          = ( finite772340578real_c @ SV338 @ ( sK77_SV963 @ SV338 @ SV7 ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[4696]) ).

thf(4889,plain,
    ! [SV338: finite1398487019real_c,SV992: c,SV7: finite1398487019real_c] :
      ( ( ( ( finite772340578real_c @ SV7 @ SV992 )
          = ( finite772340578real_c @ SV338 @ SV992 ) )
        = $true )
      | ( ( ( finite772340578real_c @ SV7 )
          = ( finite772340578real_c @ SV338 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[4698]) ).

thf(4890,plain,
    ! [SV851: finite1398487019real_c,SV993: c,SV339: finite1398487019real_c] :
      ( ( ( ( finite772340578real_c @ SV339 @ SV993 )
          = ( finite772340578real_c @ SV851 @ SV993 ) )
        = $true )
      | ( ( SV339 = SV851 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[4702]) ).

thf(4891,plain,
    ! [SV851: finite1398487019real_c,SV339: finite1398487019real_c] :
      ( ( ( SV339 = SV851 )
        = $true )
      | ( ( ( finite772340578real_c @ SV339 @ ( sK83_SY2597 @ SV851 @ SV339 ) )
          = ( finite772340578real_c @ SV851 @ ( sK83_SY2597 @ SV851 @ SV339 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4703]) ).

thf(4892,plain,
    ! [SV851: finite1398487019real_c,SV339: finite1398487019real_c] :
      ( ( ( ! [SY2597: c] :
              ( ( finite772340578real_c @ SV339 @ SY2597 )
              = ( finite772340578real_c @ SV851 @ SY2597 ) ) )
        = $true )
      | ( ( ( finite772340578real_c @ SV339 @ ( sK83_SY2597 @ SV851 @ SV339 ) )
          = ( finite772340578real_c @ SV851 @ ( sK83_SY2597 @ SV851 @ SV339 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4704]) ).

thf(4893,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ~ ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
              | ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
          | ~ ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
              | ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ ( equiv_a_b_c @ SV645 @ SV855 ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[4707]) ).

thf(4894,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
          = ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ ( equiv_a_b_c @ SV645 @ SV855 ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[4707]) ).

thf(4895,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $true )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ ( equiv_a_b_c @ SV645 @ SV855 ) ) )
              | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
               != ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4708]) ).

thf(4896,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) ) )
        = $true )
      | ( ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
        = $true )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ ( equiv_a_b_c @ SV645 @ SV855 ) ) )
              | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
               != ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4709]) ).

thf(4897,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ ( equiv_a_b_c @ SV645 @ SV855 ) ) )
        = $true )
      | ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
          = ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4710]) ).

thf(4898,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
          = ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
        = $true )
      | ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
          = ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4711]) ).

thf(4899,plain,
    ! [SV98: $o] :
      ( ( ( SV98
          | $false )
        = $false )
      | ( ( ~ ( ~ SV98
              | ~ $false ) )
        = $true )
      | ( SV98 = $false )
      | ( SV98 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4737]) ).

thf(4900,plain,
    ! [SV98: $o] :
      ( ( ( SV98
          | $false )
        = $false )
      | ( ( ~ ( ~ SV98
              | ~ $false ) )
        = $true )
      | ( SV98 = $false )
      | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4738]) ).

thf(4901,plain,
    ! [SV98: $o] :
      ( ( ( SV98
          | $false )
        = $false )
      | ( ( ~ ( ~ SV98
              | ~ $false ) )
        = $true )
      | ( $true = $false )
      | ( SV98 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4739]) ).

thf(4902,plain,
    ! [SV98: $o] :
      ( ( ( SV98
          | $false )
        = $false )
      | ( ( ~ ( ~ SV98
              | ~ $false ) )
        = $true )
      | ( $true = $false )
      | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4740]) ).

thf(4903,plain,
    ( ( ( $true
        | $false )
      = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4741]) ).

thf(4904,plain,
    ( ( ( $true
        | $false )
      = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4742]) ).

thf(4905,plain,
    ( ( ( $true
        | $false )
      = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4743]) ).

thf(4906,plain,
    ( ( ( $true
        | $false )
      = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4744]) ).

thf(4907,plain,
    ( ( ( $false
        | $false )
      = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4745]) ).

thf(4908,plain,
    ( ( ( $false
        | $false )
      = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4746]) ).

thf(4909,plain,
    ( ( ( $false
        | $false )
      = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4747]) ).

thf(4910,plain,
    ( ( ( $false
        | $false )
      = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4748]) ).

thf(4911,plain,
    ! [SV865: finite1398487019real_c,SV412: finite1398487019real_c,SV666: finite1398487019real_c,SV107: finite1398487019real_c] :
      ( ( ( ( SV107 != SV666 )
          | ( SV412 != SV865 ) )
        = $false )
      | ( ( ( produc394644079real_c @ SV107 @ SV412 )
          = ( produc394644079real_c @ SV666 @ SV865 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4750]) ).

thf(4912,plain,
    ! [SV666: finite1398487019real_c,SV107: finite1398487019real_c,SV865: finite1398487019real_c,SV412: finite1398487019real_c] :
      ( ( ( SV412 = SV865 )
        = $false )
      | ( ( SV107 = SV666 )
        = $false )
      | ( ( ~ ( ( ( produc394644079real_c @ SV107 @ SV412 )
               != ( produc394644079real_c @ SV666 @ SV865 ) )
              | ~ ~ ( ( SV107 != SV666 )
                    | ( SV412 != SV865 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4751]) ).

thf(4913,plain,
    ! [SV668: set_c,SV109: set_Sum_sum_c_d,SV414: c > sum_sum_c_d] :
      ( ( ( ~ ~ ( ~ ( ord_less_eq_set_c @ ( sK98_SY2402 @ SV414 @ SV109 @ SV668 ) @ SV668 )
                | ( SV109
                 != ( image_c_Sum_sum_c_d @ SV414 @ ( sK98_SY2402 @ SV414 @ SV109 @ SV668 ) ) ) ) )
        = $false )
      | ( ( ord_le764260924um_c_d @ SV109 @ ( image_c_Sum_sum_c_d @ SV414 @ SV668 ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[4752]) ).

thf(4914,plain,
    ! [SV414: c > sum_sum_c_d,SV109: set_Sum_sum_c_d,SV668: set_c,SV973: set_c] :
      ( ( ( ~ ( ord_less_eq_set_c @ SV973 @ SV668 ) )
        = $true )
      | ( ( SV109
         != ( image_c_Sum_sum_c_d @ SV414 @ SV973 ) )
        = $true )
      | ( ( ~ ( ~ ( ord_le764260924um_c_d @ SV109 @ ( image_c_Sum_sum_c_d @ SV414 @ SV668 ) )
              | ~ ~ ! [SY2402: set_c] :
                      ~ ~ ( ~ ( ord_less_eq_set_c @ SY2402 @ SV668 )
                          | ( SV109
                           != ( image_c_Sum_sum_c_d @ SV414 @ SY2402 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4753]) ).

thf(4915,plain,
    ( ( ( ( produc394644079real_c @ aa @ ba )
        = ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
      = $false )
    | ( ( ~ ( initia1631504802real_c @ sol
            @ ^ [SX0: real] : ( denota1275485728_a_b_c @ i @ oDEa )
            @ ( set_or656347191t_real @ zero_zero_real @ t )
            @ ( collec230941376real_c
              @ ^ [SX0: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ SX0 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) )
        | ~ ( denota256060419gree_c @ ( sol @ zero_zero_real ) @ ab
            @ ( collect_c
              @ ^ [SX0: c] :
                  ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_BVO_a_c @ oDEa ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( static_FVO_a_c @ oDEa ) ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_FVF_a_b_c @ phi ) ) ) ) )
        | ( ab
          = ( finite557796307c_real
            @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
      = $true )
    | ( ( ord_less_eq_real @ zero_zero_real @ t )
      = $false )
    | ( ( p = phi )
      = $false )
    | ( ( ode = oDEa )
      = $false )
    | ( ( fsafe_a_b_c @ phi )
      = $false )
    | ( ( osafe_a_c @ oDEa )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4754]) ).

thf(4916,plain,
    ! [SV670: produc190496183real_c,SV112: produc190496183real_c,SV417: produc190496183real_c] :
      ( ( ( ~ ( ord_le850691415real_c @ SV417 @ SV112 ) )
        = $false )
      | ( ( member1895684704real_c @ SV112 @ ( set_or385782508real_c @ SV417 @ SV670 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4755]) ).

thf(4917,plain,
    ! [SV417: produc190496183real_c,SV670: produc190496183real_c,SV112: produc190496183real_c] :
      ( ( ( ~ ( ord_le850691415real_c @ SV112 @ SV670 ) )
        = $false )
      | ( ( member1895684704real_c @ SV112 @ ( set_or385782508real_c @ SV417 @ SV670 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4755]) ).

thf(4918,plain,
    ! [SV670: produc190496183real_c,SV417: produc190496183real_c,SV112: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV112 @ ( set_or385782508real_c @ SV417 @ SV670 ) )
          | ~ ~ ( ~ ( ord_le850691415real_c @ SV417 @ SV112 )
                | ~ ( ord_le850691415real_c @ SV112 @ SV670 ) ) )
        = $false )
      | ( ( ord_le850691415real_c @ SV417 @ SV112 )
        = $false )
      | ( ( ord_le850691415real_c @ SV112 @ SV670 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4756]) ).

thf(4919,plain,
    ! [SV672: set_c,SV115: sum_sum_c_d,SV420: c > sum_sum_c_d] :
      ( ( ( ~ ~ ( ~ ( member_c @ ( sK99_SY2406 @ SV420 @ SV115 @ SV672 ) @ SV672 )
                | ( SV115
                 != ( SV420 @ ( sK99_SY2406 @ SV420 @ SV115 @ SV672 ) ) ) ) )
        = $false )
      | ( ( member_Sum_sum_c_d @ SV115 @ ( image_c_Sum_sum_c_d @ SV420 @ SV672 ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[4757]) ).

thf(4920,plain,
    ! [SV420: c > sum_sum_c_d,SV115: sum_sum_c_d,SV672: set_c,SV974: c] :
      ( ( ( ~ ( member_c @ SV974 @ SV672 ) )
        = $true )
      | ( ( SV115
         != ( SV420 @ SV974 ) )
        = $true )
      | ( ( ~ ( ~ ( member_Sum_sum_c_d @ SV115 @ ( image_c_Sum_sum_c_d @ SV420 @ SV672 ) )
              | ~ ~ ! [SY2406: c] :
                      ~ ~ ( ~ ( member_c @ SY2406 @ SV672 )
                          | ( SV115
                           != ( SV420 @ SY2406 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4758]) ).

thf(4921,plain,
    ! [SV674: real,SV117: real,SV422: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV422 @ SV117 ) )
        = $false )
      | ( ( member_real @ SV117 @ ( set_or656347191t_real @ SV422 @ SV674 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4759]) ).

thf(4922,plain,
    ! [SV422: real,SV674: real,SV117: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV117 @ SV674 ) )
        = $false )
      | ( ( member_real @ SV117 @ ( set_or656347191t_real @ SV422 @ SV674 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4759]) ).

thf(4923,plain,
    ! [SV674: real,SV422: real,SV117: real] :
      ( ( ( ~ ( member_real @ SV117 @ ( set_or656347191t_real @ SV422 @ SV674 ) )
          | ~ ~ ( ~ ( ord_less_eq_real @ SV422 @ SV117 )
                | ~ ( ord_less_eq_real @ SV117 @ SV674 ) ) )
        = $false )
      | ( ( ord_less_eq_real @ SV422 @ SV117 )
        = $false )
      | ( ( ord_less_eq_real @ SV117 @ SV674 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4760]) ).

thf(4924,plain,
    ! [SV961: set_c,SV868: finite1398487019real_c,SV424: finite1398487019real_c] :
      ( ( ( ~ ( denota256060419gree_c @ SV424 @ SV868 @ SV961 ) )
        = $false )
      | ( ( denota256060419gree_c @ SV424 @ SV868 @ SV961 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4761]) ).

thf(4925,plain,
    ! [SV868: finite1398487019real_c,SV424: finite1398487019real_c,SV961: set_c] :
      ( ( ( ~ ! [SY2672: c] :
                ( ~ ( member_c @ SY2672 @ SV961 )
                | ( ( finite772340578real_c @ SV424 @ SY2672 )
                  = ( finite772340578real_c @ SV868 @ SY2672 ) ) ) )
        = $false )
      | ( ( denota256060419gree_c @ SV424 @ SV868 @ SV961 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4761]) ).

thf(4926,plain,
    ! [SV961: set_c,SV424: finite1398487019real_c,SV868: finite1398487019real_c] :
      ( ( ( ~ ( member_c @ ( sK97_SY2672 @ SV868 @ SV424 @ SV961 ) @ SV961 ) )
        = $false )
      | ( ( ~ ( ~ ( denota256060419gree_c @ SV424 @ SV868 @ SV961 )
              | ~ ! [SY2672: c] :
                    ( ~ ( member_c @ SY2672 @ SV961 )
                    | ( ( finite772340578real_c @ SV424 @ SY2672 )
                      = ( finite772340578real_c @ SV868 @ SY2672 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4762]) ).

thf(4927,plain,
    ! [SV961: set_c,SV868: finite1398487019real_c,SV424: finite1398487019real_c] :
      ( ( ( ( finite772340578real_c @ SV424 @ ( sK97_SY2672 @ SV868 @ SV424 @ SV961 ) )
          = ( finite772340578real_c @ SV868 @ ( sK97_SY2672 @ SV868 @ SV424 @ SV961 ) ) )
        = $false )
      | ( ( ~ ( ~ ( denota256060419gree_c @ SV424 @ SV868 @ SV961 )
              | ~ ! [SY2672: c] :
                    ( ~ ( member_c @ SY2672 @ SV961 )
                    | ( ( finite772340578real_c @ SV424 @ SY2672 )
                      = ( finite772340578real_c @ SV868 @ SY2672 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4762]) ).

thf(4928,plain,
    ! [SV869: set_Sum_sum_c_d,SV430: set_Sum_sum_c_d,SV994: sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_d @ SV994 @ SV430 )
          | ( member_Sum_sum_c_d @ SV994 @ SV869 ) )
        = $true )
      | ( ( ord_le764260924um_c_d @ SV430 @ SV869 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[4764]) ).

thf(4929,plain,
    ! [SV869: set_Sum_sum_c_d,SV430: set_Sum_sum_c_d] :
      ( ( ( ~ ( ord_le764260924um_c_d @ SV430 @ SV869 )
          | ~ ! [SY2624: sum_sum_c_d] :
                ( ~ ( member_Sum_sum_c_d @ SY2624 @ SV430 )
                | ( member_Sum_sum_c_d @ SY2624 @ SV869 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_d @ ( sK84_SY2624 @ SV869 @ SV430 ) @ SV430 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4765]) ).

thf(4930,plain,
    ! [SV869: set_Sum_sum_c_d,SV430: set_Sum_sum_c_d] :
      ( ( ( ~ ( ord_le764260924um_c_d @ SV430 @ SV869 ) )
        = $false )
      | ( ( member_Sum_sum_c_d @ ( sK84_SY2624 @ SV869 @ SV430 ) @ SV869 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4766]) ).

thf(4931,plain,
    ! [SV869: set_Sum_sum_c_d,SV430: set_Sum_sum_c_d] :
      ( ( ( ~ ! [SY2624: sum_sum_c_d] :
                ( ~ ( member_Sum_sum_c_d @ SY2624 @ SV430 )
                | ( member_Sum_sum_c_d @ SY2624 @ SV869 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_d @ ( sK84_SY2624 @ SV869 @ SV430 ) @ SV869 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4766]) ).

thf(4932,plain,
    ! [SV871: set_re2066790124real_c,SV437: set_re2066790124real_c,SV995: real > finite1398487019real_c] :
      ( ( ( ~ ( member1321351885real_c @ SV995 @ SV437 )
          | ( member1321351885real_c @ SV995 @ SV871 ) )
        = $true )
      | ( ( ord_le35002188real_c @ SV437 @ SV871 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[4769]) ).

thf(4933,plain,
    ! [SV871: set_re2066790124real_c,SV437: set_re2066790124real_c] :
      ( ( ( ~ ( ord_le35002188real_c @ SV437 @ SV871 )
          | ~ ! [SY2625: real > finite1398487019real_c] :
                ( ~ ( member1321351885real_c @ SY2625 @ SV437 )
                | ( member1321351885real_c @ SY2625 @ SV871 ) ) )
        = $false )
      | ( ( member1321351885real_c @ ( sK85_SY2625 @ SV871 @ SV437 ) @ SV437 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4770]) ).

thf(4934,plain,
    ! [SV871: set_re2066790124real_c,SV437: set_re2066790124real_c] :
      ( ( ( ~ ( ord_le35002188real_c @ SV437 @ SV871 ) )
        = $false )
      | ( ( member1321351885real_c @ ( sK85_SY2625 @ SV871 @ SV437 ) @ SV871 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4771]) ).

thf(4935,plain,
    ! [SV871: set_re2066790124real_c,SV437: set_re2066790124real_c] :
      ( ( ( ~ ! [SY2625: real > finite1398487019real_c] :
                ( ~ ( member1321351885real_c @ SY2625 @ SV437 )
                | ( member1321351885real_c @ SY2625 @ SV871 ) ) )
        = $false )
      | ( ( member1321351885real_c @ ( sK85_SY2625 @ SV871 @ SV437 ) @ SV871 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4771]) ).

thf(4936,plain,
    ! [SV446: finite1398487019real_c > $o,SV982: finite1398487019real_c,SV141: finite1398487019real_c > $o] :
      ( ( ( SV141 @ SV982 )
        = $false )
      | ( ( SV446 @ SV982 )
        = $true )
      | ( ( ord_le1327118209real_c @ ( collec230941376real_c @ SV141 ) @ ( collec230941376real_c @ SV446 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4773]) ).

thf(4937,plain,
    ! [SV446: finite1398487019real_c > $o,SV141: finite1398487019real_c > $o] :
      ( ( ( ord_le1327118209real_c @ ( collec230941376real_c @ SV141 ) @ ( collec230941376real_c @ SV446 ) )
        = $true )
      | ( ( SV141 @ ( sK64_SY2024 @ SV446 @ SV141 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4774]) ).

thf(4938,plain,
    ! [SV446: finite1398487019real_c > $o,SV141: finite1398487019real_c > $o] :
      ( ( ( ! [SY2024: finite1398487019real_c] :
              ( ~ ( SV141 @ SY2024 )
              | ( SV446 @ SY2024 ) ) )
        = $true )
      | ( ( SV141 @ ( sK64_SY2024 @ SV446 @ SV141 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4775]) ).

thf(4939,plain,
    ! [SV446: finite1398487019real_c > $o,SV996: finite1398487019real_c,SV141: finite1398487019real_c > $o] :
      ( ( ( ~ ( SV141 @ SV996 )
          | ( SV446 @ SV996 ) )
        = $true )
      | ( ( SV446 @ ( sK64_SY2024 @ SV446 @ SV141 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[4777]) ).

thf(4940,plain,
    ! [SV693: real > finite1398487019real_c,SV875: real > set_Fi1407883041real_c,SV143: set_real,SV448: real > finite1398487019real_c] :
      ( ( ( ( member1321351885real_c @ SV448 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) )
          | ( member1321351885real_c @ SV693 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) ) )
        = $false )
      | ( ( ~ ( ~ ( member1321351885real_c @ SV448 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) )
              | ~ ( member1321351885real_c @ SV693 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) ) ) )
        = $true )
      | ( ( member_real @ ( sK66_SY2432 @ SV875 @ SV693 @ SV448 @ SV143 ) @ SV143 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4778]) ).

thf(4941,plain,
    ! [SV693: real > finite1398487019real_c,SV875: real > set_Fi1407883041real_c,SV143: set_real,SV448: real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ SV448 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) )
        = $false )
      | ( ( ~ ( ~ ( member1321351885real_c @ SV448 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) )
              | ~ ( member1321351885real_c @ SV693 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) ) ) )
        = $true )
      | ( ( ( SV448 @ ( sK66_SY2432 @ SV875 @ SV693 @ SV448 @ SV143 ) )
          = ( SV693 @ ( sK66_SY2432 @ SV875 @ SV693 @ SV448 @ SV143 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4779]) ).

thf(4942,plain,
    ! [SV448: real > finite1398487019real_c,SV875: real > set_Fi1407883041real_c,SV143: set_real,SV693: real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ SV693 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) )
        = $false )
      | ( ( ~ ( ~ ( member1321351885real_c @ SV448 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) )
              | ~ ( member1321351885real_c @ SV693 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) ) ) )
        = $true )
      | ( ( ( SV448 @ ( sK66_SY2432 @ SV875 @ SV693 @ SV448 @ SV143 ) )
          = ( SV693 @ ( sK66_SY2432 @ SV875 @ SV693 @ SV448 @ SV143 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4779]) ).

thf(4943,plain,
    ! [SV699: set_Sum_sum_c_d,SV150: c > sum_sum_c_d,SV454: set_c,SV987: c] :
      ( ( ( ~ ( member_c @ SV987 @ SV454 ) )
        = $true )
      | ( ( member_Sum_sum_c_d @ ( SV150 @ SV987 ) @ SV699 )
        = $true )
      | ( ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV150 @ SV454 ) @ SV699 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4780]) ).

thf(4944,plain,
    ! [SV699: set_Sum_sum_c_d,SV454: set_c,SV150: c > sum_sum_c_d] :
      ( ( ( ~ ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV150 @ SV454 ) @ SV699 ) )
        = $false )
      | ( ( member_c @ ( sK78_SY2440 @ SV699 @ SV150 @ SV454 ) @ SV454 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4781]) ).

thf(4945,plain,
    ! [SV699: set_Sum_sum_c_d,SV150: c > sum_sum_c_d,SV454: set_c] :
      ( ( ( ~ ! [SY2440: c] :
                ( ~ ( member_c @ SY2440 @ SV454 )
                | ( member_Sum_sum_c_d @ ( SV150 @ SY2440 ) @ SV699 ) ) )
        = $false )
      | ( ( member_c @ ( sK78_SY2440 @ SV699 @ SV150 @ SV454 ) @ SV454 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4781]) ).

thf(4946,plain,
    ! [SV699: set_Sum_sum_c_d,SV454: set_c,SV150: c > sum_sum_c_d] :
      ( ( ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV150 @ SV454 ) @ SV699 )
        = $true )
      | ( ( member_Sum_sum_c_d @ ( SV150 @ ( sK78_SY2440 @ SV699 @ SV150 @ SV454 ) ) @ SV699 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4782]) ).

thf(4947,plain,
    ! [SV699: set_Sum_sum_c_d,SV150: c > sum_sum_c_d,SV454: set_c] :
      ( ( ( ! [SY2440: c] :
              ( ~ ( member_c @ SY2440 @ SV454 )
              | ( member_Sum_sum_c_d @ ( SV150 @ SY2440 ) @ SV699 ) ) )
        = $true )
      | ( ( member_Sum_sum_c_d @ ( SV150 @ ( sK78_SY2440 @ SV699 @ SV150 @ SV454 ) ) @ SV699 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4783]) ).

thf(4948,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true )
      | ( ( ~ ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
               != ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
              | ~ ~ ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
                        | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
                    | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
                        | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4784]) ).

thf(4949,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) )
        = $true )
      | ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $true )
      | ( ( ~ ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
               != ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
              | ~ ~ ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
                        | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
                    | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
                        | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4785]) ).

thf(4950,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          = ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $true )
      | ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          = ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4786]) ).

thf(4951,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
                  | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
              | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
                  | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) ) )
        = $true )
      | ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          = ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4787]) ).

thf(4952,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) )
        = $false )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
              | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) )
        = $true )
      | ( ( ~ ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
               != ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
              | ~ ~ ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
                        | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
                    | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
                        | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4788]) ).

thf(4953,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
              | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) )
        = $true )
      | ( ( ~ ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
               != ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
              | ~ ~ ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
                        | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
                    | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
                        | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4788]) ).

thf(4954,plain,
    ! [SV706: set_Sum_sum_c_c,SV161: c > sum_sum_c_c,SV465: set_c,SV988: c] :
      ( ( ( ~ ( member_c @ SV988 @ SV465 ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( SV161 @ SV988 ) @ SV706 )
        = $true )
      | ( ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV161 @ SV465 ) @ SV706 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4789]) ).

thf(4955,plain,
    ! [SV706: set_Sum_sum_c_c,SV465: set_c,SV161: c > sum_sum_c_c] :
      ( ( ( ~ ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV161 @ SV465 ) @ SV706 ) )
        = $false )
      | ( ( member_c @ ( sK79_SY2448 @ SV706 @ SV161 @ SV465 ) @ SV465 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4790]) ).

thf(4956,plain,
    ! [SV706: set_Sum_sum_c_c,SV161: c > sum_sum_c_c,SV465: set_c] :
      ( ( ( ~ ! [SY2448: c] :
                ( ~ ( member_c @ SY2448 @ SV465 )
                | ( member_Sum_sum_c_c @ ( SV161 @ SY2448 ) @ SV706 ) ) )
        = $false )
      | ( ( member_c @ ( sK79_SY2448 @ SV706 @ SV161 @ SV465 ) @ SV465 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4790]) ).

thf(4957,plain,
    ! [SV706: set_Sum_sum_c_c,SV465: set_c,SV161: c > sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV161 @ SV465 ) @ SV706 )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( SV161 @ ( sK79_SY2448 @ SV706 @ SV161 @ SV465 ) ) @ SV706 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4791]) ).

thf(4958,plain,
    ! [SV706: set_Sum_sum_c_c,SV161: c > sum_sum_c_c,SV465: set_c] :
      ( ( ( ! [SY2448: c] :
              ( ~ ( member_c @ SY2448 @ SV465 )
              | ( member_Sum_sum_c_c @ ( SV161 @ SY2448 ) @ SV706 ) ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( SV161 @ ( sK79_SY2448 @ SV706 @ SV161 @ SV465 ) ) @ SV706 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4792]) ).

thf(4959,plain,
    ! [SV883: real,SV467: real,SV708: real,SV163: real] :
      ( ( ( ~ ( ( SV163 != SV708 )
              | ( SV467 != SV883 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 )
              | ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) ) )
        = $true )
      | ( ( ( set_or656347191t_real @ SV163 @ SV467 )
          = ( set_or656347191t_real @ SV708 @ SV883 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4794]) ).

thf(4960,plain,
    ! [SV883: real,SV467: real,SV708: real,SV163: real] :
      ( ( ( SV163 = SV708 )
        = $false )
      | ( ( SV467 != SV883 )
        = $true )
      | ( ( ~ ( ( ( set_or656347191t_real @ SV163 @ SV467 )
               != ( set_or656347191t_real @ SV708 @ SV883 ) )
              | ~ ( ~ ( ( SV163 != SV708 )
                      | ( SV467 != SV883 ) )
                  | ~ ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 )
                      | ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4795]) ).

thf(4961,plain,
    ! [SV883: real,SV708: real,SV467: real,SV163: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV163 @ SV467 ) )
        = $false )
      | ( ( ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) )
        = $true )
      | ( ( ~ ( ( ( set_or656347191t_real @ SV163 @ SV467 )
               != ( set_or656347191t_real @ SV708 @ SV883 ) )
              | ~ ( ~ ( ( SV163 != SV708 )
                      | ( SV467 != SV883 ) )
                  | ~ ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 )
                      | ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4796]) ).

thf(4962,plain,
    ! [SV962: set_Sum_sum_c_c,SV886: produc190496183real_c,SV481: produc190496183real_c] :
      ( ( ( ~ ( denota1997846518gree_c @ SV481 @ SV886 @ SV962 ) )
        = $false )
      | ( ( denota1997846518gree_c @ SV481 @ SV886 @ SV962 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4797]) ).

thf(4963,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c] :
      ( ( ( ~ ~ ( ~ ! [SY2673: c] :
                      ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2673 ) @ SV962 )
                      | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2673 )
                        = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2673 ) ) )
                | ~ ! [SY2674: c] :
                      ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
                      | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                        = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) ) )
        = $false )
      | ( ( denota1997846518gree_c @ SV481 @ SV886 @ SV962 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4797]) ).

thf(4964,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c] :
      ( ( ( ~ ! [SY2673: c] :
                ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2673 ) @ SV962 )
                | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2673 )
                  = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2673 ) ) ) )
        = $true )
      | ( ( ~ ! [SY2674: c] :
                ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
                | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                  = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( denota1997846518gree_c @ SV481 @ SV886 @ SV962 )
              | ~ ~ ( ~ ! [SY2673: c] :
                          ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2673 ) @ SV962 )
                          | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2673 )
                            = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2673 ) ) )
                    | ~ ! [SY2674: c] :
                          ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
                          | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                            = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4798]) ).

thf(4965,plain,
    ! [SV887: finite1398487019real_c,SV487: finite1398487019real_c,SV724: finite1398487019real_c,SV184: finite1398487019real_c] :
      ( ( ( ( SV184 != SV724 )
          | ( SV487 != SV887 ) )
        = $false )
      | ( ( ( produc394644079real_c @ SV184 @ SV487 )
          = ( produc394644079real_c @ SV724 @ SV887 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4802]) ).

thf(4966,plain,
    ! [SV724: finite1398487019real_c,SV184: finite1398487019real_c,SV887: finite1398487019real_c,SV487: finite1398487019real_c] :
      ( ( ( SV487 = SV887 )
        = $false )
      | ( ( SV184 = SV724 )
        = $false )
      | ( ( ~ ( ( ( produc394644079real_c @ SV184 @ SV487 )
               != ( produc394644079real_c @ SV724 @ SV887 ) )
              | ~ ~ ( ( SV184 != SV724 )
                    | ( SV487 != SV887 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4803]) ).

thf(4967,plain,
    ! [SV889: set_Sum_sum_c_c,SV494: set_Sum_sum_c_c,SV997: sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ SV997 @ SV494 )
          | ( member_Sum_sum_c_c @ SV997 @ SV889 ) )
        = $true )
      | ( ( ord_le1772180283um_c_c @ SV494 @ SV889 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[4805]) ).

thf(4968,plain,
    ! [SV889: set_Sum_sum_c_c,SV494: set_Sum_sum_c_c] :
      ( ( ( ~ ( ord_le1772180283um_c_c @ SV494 @ SV889 )
          | ~ ! [SY2635: sum_sum_c_c] :
                ( ~ ( member_Sum_sum_c_c @ SY2635 @ SV494 )
                | ( member_Sum_sum_c_c @ SY2635 @ SV889 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( sK86_SY2635 @ SV889 @ SV494 ) @ SV494 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4806]) ).

thf(4969,plain,
    ! [SV889: set_Sum_sum_c_c,SV494: set_Sum_sum_c_c] :
      ( ( ( ~ ( ord_le1772180283um_c_c @ SV494 @ SV889 ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( sK86_SY2635 @ SV889 @ SV494 ) @ SV889 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4807]) ).

thf(4970,plain,
    ! [SV889: set_Sum_sum_c_c,SV494: set_Sum_sum_c_c] :
      ( ( ( ~ ! [SY2635: sum_sum_c_c] :
                ( ~ ( member_Sum_sum_c_c @ SY2635 @ SV494 )
                | ( member_Sum_sum_c_c @ SY2635 @ SV889 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( sK86_SY2635 @ SV889 @ SV494 ) @ SV889 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4807]) ).

thf(4971,plain,
    ! [SV892: set_Sum_sum_c_c,SV501: set_Sum_sum_c_c,SV998: sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ SV998 @ SV501 )
          | ( member_Sum_sum_c_c @ SV998 @ SV892 ) )
        = $true )
      | ( ( ord_le1772180283um_c_c @ SV501 @ SV892 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[4809]) ).

thf(4972,plain,
    ! [SV892: set_Sum_sum_c_c,SV501: set_Sum_sum_c_c] :
      ( ( ( ~ ( ord_le1772180283um_c_c @ SV501 @ SV892 )
          | ~ ! [SY2636: sum_sum_c_c] :
                ( ~ ( member_Sum_sum_c_c @ SY2636 @ SV501 )
                | ( member_Sum_sum_c_c @ SY2636 @ SV892 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( sK87_SY2636 @ SV892 @ SV501 ) @ SV501 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4810]) ).

thf(4973,plain,
    ! [SV892: set_Sum_sum_c_c,SV501: set_Sum_sum_c_c] :
      ( ( ( ~ ( ord_le1772180283um_c_c @ SV501 @ SV892 ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( sK87_SY2636 @ SV892 @ SV501 ) @ SV892 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4811]) ).

thf(4974,plain,
    ! [SV892: set_Sum_sum_c_c,SV501: set_Sum_sum_c_c] :
      ( ( ( ~ ! [SY2636: sum_sum_c_c] :
                ( ~ ( member_Sum_sum_c_c @ SY2636 @ SV501 )
                | ( member_Sum_sum_c_c @ SY2636 @ SV892 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( sK87_SY2636 @ SV892 @ SV501 ) @ SV892 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4811]) ).

thf(4975,plain,
    ! [SV899: set_c,SV514: set_c,SV999: c] :
      ( ( ( ~ ( member_c @ SV999 @ SV514 )
          | ( member_c @ SV999 @ SV899 ) )
        = $true )
      | ( ( ord_less_eq_set_c @ SV514 @ SV899 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[4813]) ).

thf(4976,plain,
    ! [SV899: set_c,SV514: set_c] :
      ( ( ( ~ ( ord_less_eq_set_c @ SV514 @ SV899 )
          | ~ ! [SY2637: c] :
                ( ~ ( member_c @ SY2637 @ SV514 )
                | ( member_c @ SY2637 @ SV899 ) ) )
        = $false )
      | ( ( member_c @ ( sK88_SY2637 @ SV899 @ SV514 ) @ SV514 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4814]) ).

thf(4977,plain,
    ! [SV899: set_c,SV514: set_c] :
      ( ( ( ~ ( ord_less_eq_set_c @ SV514 @ SV899 ) )
        = $false )
      | ( ( member_c @ ( sK88_SY2637 @ SV899 @ SV514 ) @ SV899 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4815]) ).

thf(4978,plain,
    ! [SV899: set_c,SV514: set_c] :
      ( ( ( ~ ! [SY2637: c] :
                ( ~ ( member_c @ SY2637 @ SV514 )
                | ( member_c @ SY2637 @ SV899 ) ) )
        = $false )
      | ( ( member_c @ ( sK88_SY2637 @ SV899 @ SV514 ) @ SV899 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4815]) ).

thf(4979,plain,
    ! [SV745: real > finite1398487019real_c,SV212: real > finite1398487019real_c,SV515: real > finite1398487019real_c] :
      ( ( ( ~ ( ord_le584953750real_c @ SV515 @ SV212 ) )
        = $false )
      | ( ( member1321351885real_c @ SV212 @ ( set_or1308937537real_c @ SV515 @ SV745 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4816]) ).

thf(4980,plain,
    ! [SV515: real > finite1398487019real_c,SV745: real > finite1398487019real_c,SV212: real > finite1398487019real_c] :
      ( ( ( ~ ( ord_le584953750real_c @ SV212 @ SV745 ) )
        = $false )
      | ( ( member1321351885real_c @ SV212 @ ( set_or1308937537real_c @ SV515 @ SV745 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4816]) ).

thf(4981,plain,
    ! [SV745: real > finite1398487019real_c,SV515: real > finite1398487019real_c,SV212: real > finite1398487019real_c] :
      ( ( ( ~ ( member1321351885real_c @ SV212 @ ( set_or1308937537real_c @ SV515 @ SV745 ) )
          | ~ ~ ( ~ ( ord_le584953750real_c @ SV515 @ SV212 )
                | ~ ( ord_le584953750real_c @ SV212 @ SV745 ) ) )
        = $false )
      | ( ( ord_le584953750real_c @ SV515 @ SV212 )
        = $false )
      | ( ( ord_le584953750real_c @ SV212 @ SV745 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4817]) ).

thf(4982,plain,
    ! [SV747: set_c,SV214: sum_sum_c_c,SV517: c > sum_sum_c_c] :
      ( ( ( ~ ~ ( ~ ( member_c @ ( sK100_SY2491 @ SV517 @ SV214 @ SV747 ) @ SV747 )
                | ( SV214
                 != ( SV517 @ ( sK100_SY2491 @ SV517 @ SV214 @ SV747 ) ) ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ SV214 @ ( image_c_Sum_sum_c_c @ SV517 @ SV747 ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[4819]) ).

thf(4983,plain,
    ! [SV517: c > sum_sum_c_c,SV214: sum_sum_c_c,SV747: set_c,SV977: c] :
      ( ( ( ~ ( member_c @ SV977 @ SV747 ) )
        = $true )
      | ( ( SV214
         != ( SV517 @ SV977 ) )
        = $true )
      | ( ( ~ ( ~ ( member_Sum_sum_c_c @ SV214 @ ( image_c_Sum_sum_c_c @ SV517 @ SV747 ) )
              | ~ ~ ! [SY2491: c] :
                      ~ ~ ( ~ ( member_c @ SY2491 @ SV747 )
                          | ( SV214
                           != ( SV517 @ SY2491 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4820]) ).

thf(4984,plain,
    ( ( ( ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) ) )
      = $true )
    | ( ( ( finite772340578real_c
          @ ( produc2010422875real_c
            @ ( denota161327353_a_b_c @ i @ oDEa
              @ ( produc394644079real_c
                @ ( finite557796307c_real
                  @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                @ bb )
              @ ( finite557796307c_real
                @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
          @ i2 )
        = ( finite772340578real_c @ ( sol @ zero_zero_real ) @ i2 ) )
      = $true )
    | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $true )
    | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4821]) ).

thf(4985,plain,
    ( ( ( ~ ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) ) )
      = $true )
    | ( ( ( finite772340578real_c
          @ ( produc2010422875real_c
            @ ( denota161327353_a_b_c @ i @ oDEa
              @ ( produc394644079real_c
                @ ( finite557796307c_real
                  @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                @ bb )
              @ ( finite557796307c_real
                @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
          @ i2 )
        = ( finite772340578real_c @ ab @ i2 ) )
      = $true )
    | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $true )
    | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4822]) ).

thf(4986,plain,
    ! [SV906: real,SV530: real,SV760: real,SV227: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV227 @ SV760 )
          | ~ ( ord_less_eq_real @ SV530 @ SV906 ) )
        = $false )
      | ( ( ord_le1342644953l_real @ ( produc705216881l_real @ SV227 @ SV530 ) @ ( produc705216881l_real @ SV760 @ SV906 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4825]) ).

thf(4987,plain,
    ! [SV760: real,SV227: real,SV906: real,SV530: real] :
      ( ( ( ord_less_eq_real @ SV530 @ SV906 )
        = $false )
      | ( ( ord_less_eq_real @ SV227 @ SV760 )
        = $false )
      | ( ( ~ ( ~ ( ord_le1342644953l_real @ ( produc705216881l_real @ SV227 @ SV530 ) @ ( produc705216881l_real @ SV760 @ SV906 ) )
              | ~ ~ ( ~ ( ord_less_eq_real @ SV227 @ SV760 )
                    | ~ ( ord_less_eq_real @ SV530 @ SV906 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4826]) ).

thf(4988,plain,
    ! [SV908: set_Sum_sum_c_d,SV534: set_Sum_sum_c_d,SV1000: sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_d @ SV1000 @ SV534 )
          | ( member_Sum_sum_c_d @ SV1000 @ SV908 ) )
        = $true )
      | ( ( ord_le764260924um_c_d @ SV534 @ SV908 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[4828]) ).

thf(4989,plain,
    ! [SV908: set_Sum_sum_c_d,SV534: set_Sum_sum_c_d] :
      ( ( ( ~ ( ord_le764260924um_c_d @ SV534 @ SV908 )
          | ~ ! [SY2639: sum_sum_c_d] :
                ( ~ ( member_Sum_sum_c_d @ SY2639 @ SV534 )
                | ( member_Sum_sum_c_d @ SY2639 @ SV908 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_d @ ( sK90_SY2639 @ SV908 @ SV534 ) @ SV534 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4829]) ).

thf(4990,plain,
    ! [SV908: set_Sum_sum_c_d,SV534: set_Sum_sum_c_d] :
      ( ( ( ~ ( ord_le764260924um_c_d @ SV534 @ SV908 ) )
        = $false )
      | ( ( member_Sum_sum_c_d @ ( sK90_SY2639 @ SV908 @ SV534 ) @ SV908 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4830]) ).

thf(4991,plain,
    ! [SV908: set_Sum_sum_c_d,SV534: set_Sum_sum_c_d] :
      ( ( ( ~ ! [SY2639: sum_sum_c_d] :
                ( ~ ( member_Sum_sum_c_d @ SY2639 @ SV534 )
                | ( member_Sum_sum_c_d @ SY2639 @ SV908 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_d @ ( sK90_SY2639 @ SV908 @ SV534 ) @ SV908 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4830]) ).

thf(4992,plain,
    ! [SV909: set_c,SV536: set_c,SV1001: c] :
      ( ( ( ~ ( member_c @ SV1001 @ SV536 )
          | ( member_c @ SV1001 @ SV909 ) )
        = $true )
      | ( ( ord_less_eq_set_c @ SV536 @ SV909 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[4832]) ).

thf(4993,plain,
    ! [SV909: set_c,SV536: set_c] :
      ( ( ( ~ ( ord_less_eq_set_c @ SV536 @ SV909 )
          | ~ ! [SY2640: c] :
                ( ~ ( member_c @ SY2640 @ SV536 )
                | ( member_c @ SY2640 @ SV909 ) ) )
        = $false )
      | ( ( member_c @ ( sK91_SY2640 @ SV909 @ SV536 ) @ SV536 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4833]) ).

thf(4994,plain,
    ! [SV909: set_c,SV536: set_c] :
      ( ( ( ~ ( ord_less_eq_set_c @ SV536 @ SV909 ) )
        = $false )
      | ( ( member_c @ ( sK91_SY2640 @ SV909 @ SV536 ) @ SV909 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4834]) ).

thf(4995,plain,
    ! [SV909: set_c,SV536: set_c] :
      ( ( ( ~ ! [SY2640: c] :
                ( ~ ( member_c @ SY2640 @ SV536 )
                | ( member_c @ SY2640 @ SV909 ) ) )
        = $false )
      | ( ( member_c @ ( sK91_SY2640 @ SV909 @ SV536 ) @ SV909 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4834]) ).

thf(4996,plain,
    ! [SV538: set_c,SV235: c > sum_sum_c_c,SV966: sum_sum_c_c,SV767: sum_sum_c_c > $o] :
      ( ( ( SV767 @ SV966 )
        = $false )
      | ( ( member_Sum_sum_c_c @ SV966 @ ( image_c_Sum_sum_c_c @ SV235 @ SV538 ) )
        = $false )
      | ( ( ~ ! [SY2511: c] :
                ~ ~ ( ~ ( member_c @ SY2511 @ SV538 )
                    | ~ ( SV767 @ ( SV235 @ SY2511 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4835]) ).

thf(4997,plain,
    ! [SV914: produc190496183real_c,SV548: produc190496183real_c] :
      ( ( ( ~ ( ord_le775706699real_c @ ( produc2010422875real_c @ SV548 ) @ ( produc2010422875real_c @ SV914 ) )
          | ~ ( ord_le775706699real_c @ ( produc314122909real_c @ SV548 ) @ ( produc314122909real_c @ SV914 ) ) )
        = $false )
      | ( ( ord_le850691415real_c @ SV548 @ SV914 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4837]) ).

thf(4998,plain,
    ! [SV914: produc190496183real_c,SV548: produc190496183real_c] :
      ( ( ( ord_le775706699real_c @ ( produc314122909real_c @ SV548 ) @ ( produc314122909real_c @ SV914 ) )
        = $false )
      | ( ( ord_le775706699real_c @ ( produc2010422875real_c @ SV548 ) @ ( produc2010422875real_c @ SV914 ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le850691415real_c @ SV548 @ SV914 )
              | ~ ~ ( ~ ( ord_le775706699real_c @ ( produc2010422875real_c @ SV548 ) @ ( produc2010422875real_c @ SV914 ) )
                    | ~ ( ord_le775706699real_c @ ( produc314122909real_c @ SV548 ) @ ( produc314122909real_c @ SV914 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4838]) ).

thf(4999,plain,
    ! [SV553: c > $o,SV983: c,SV250: c > $o] :
      ( ( ( SV250 @ SV983 )
        = $false )
      | ( ( SV553 @ SV983 )
        = $true )
      | ( ( ord_less_eq_set_c @ ( collect_c @ SV250 ) @ ( collect_c @ SV553 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4839]) ).

thf(5000,plain,
    ! [SV553: c > $o,SV250: c > $o] :
      ( ( ( ord_less_eq_set_c @ ( collect_c @ SV250 ) @ ( collect_c @ SV553 ) )
        = $true )
      | ( ( SV250 @ ( sK72_SY2211 @ SV553 @ SV250 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4840]) ).

thf(5001,plain,
    ! [SV553: c > $o,SV250: c > $o] :
      ( ( ( ! [SY2211: c] :
              ( ~ ( SV250 @ SY2211 )
              | ( SV553 @ SY2211 ) ) )
        = $true )
      | ( ( SV250 @ ( sK72_SY2211 @ SV553 @ SV250 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4841]) ).

thf(5002,plain,
    ! [SV553: c > $o,SV1002: c,SV250: c > $o] :
      ( ( ( ~ ( SV250 @ SV1002 )
          | ( SV553 @ SV1002 ) )
        = $true )
      | ( ( SV553 @ ( sK72_SY2211 @ SV553 @ SV250 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[4843]) ).

thf(5003,plain,
    ( ( ( ( produc394644079real_c @ aa @ ba )
        = ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
      = $false )
    | ( ( ~ ( initia1631504802real_c @ sol
            @ ^ [SX0: real] : ( denota1275485728_a_b_c @ i @ oDEa )
            @ ( set_or656347191t_real @ zero_zero_real @ t )
            @ ( collec230941376real_c
              @ ^ [SX0: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ SX0 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) )
        | ~ ( denota256060419gree_c @ ( sol @ zero_zero_real ) @ ab
            @ ( collect_c
              @ ^ [SX0: c] :
                  ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_BVO_a_c @ oDEa ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( static_FVO_a_c @ oDEa ) ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_FVF_a_b_c @ phi ) ) ) ) )
        | ( ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) )
          = ( denota161327353_a_b_c @ i @ oDEa
            @ ( produc394644079real_c
              @ ( finite557796307c_real
                @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
              @ bb )
            @ ( finite557796307c_real
              @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ t ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) ) )
      = $true )
    | ( ( ord_less_eq_real @ zero_zero_real @ t )
      = $false )
    | ( ( p = phi )
      = $false )
    | ( ( ode = oDEa )
      = $false )
    | ( ( fsafe_a_b_c @ phi )
      = $false )
    | ( ( osafe_a_c @ oDEa )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4844]) ).

thf(5004,plain,
    ( ( ( ( produc394644079real_c @ aa @ ba )
        = ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
      = $false )
    | ( ( ~ ( initia1631504802real_c @ sol
            @ ^ [SX0: real] : ( denota1275485728_a_b_c @ i @ oDEa )
            @ ( set_or656347191t_real @ zero_zero_real @ t )
            @ ( collec230941376real_c
              @ ^ [SX0: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ SX0 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) )
        | ~ ( denota256060419gree_c @ ( sol @ zero_zero_real ) @ ab
            @ ( collect_c
              @ ^ [SX0: c] :
                  ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_BVO_a_c @ oDEa ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( static_FVO_a_c @ oDEa ) ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_FVF_a_b_c @ phi ) ) ) ) )
        | ( ord_less_eq_real @ zero_zero_real @ t ) )
      = $true )
    | ( ( ord_less_eq_real @ zero_zero_real @ t )
      = $false )
    | ( ( p = phi )
      = $false )
    | ( ( ode = oDEa )
      = $false )
    | ( ( fsafe_a_b_c @ phi )
      = $false )
    | ( ( osafe_a_c @ oDEa )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4846]) ).

thf(5005,plain,
    ! [SV925: real,SV797: real,SV576: real,SV271: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV271 @ SV576 ) )
        = $true )
      | ( ( ~ ( ~ ( ord_less_eq_real @ SV797 @ SV271 )
              | ~ ( ord_less_eq_real @ SV576 @ SV925 ) ) )
        = $true )
      | ( ( ord_less_eq_set_real @ ( set_or656347191t_real @ SV271 @ SV576 ) @ ( set_or656347191t_real @ SV797 @ SV925 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4848]) ).

thf(5006,plain,
    ! [SV925: real,SV797: real,SV576: real,SV271: real] :
      ( ( ( ~ ( ord_less_eq_set_real @ ( set_or656347191t_real @ SV271 @ SV576 ) @ ( set_or656347191t_real @ SV797 @ SV925 ) ) )
        = $false )
      | ( ( ord_less_eq_real @ SV271 @ SV576 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4849]) ).

thf(5007,plain,
    ! [SV925: real,SV797: real,SV576: real,SV271: real] :
      ( ( ( ~ ( ~ ( ord_less_eq_real @ SV271 @ SV576 )
              | ~ ( ~ ( ord_less_eq_real @ SV797 @ SV271 )
                  | ~ ( ord_less_eq_real @ SV576 @ SV925 ) ) ) )
        = $false )
      | ( ( ord_less_eq_real @ SV271 @ SV576 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4849]) ).

thf(5008,plain,
    ! [SV925: real,SV576: real,SV271: real,SV797: real] :
      ( ( ( ord_less_eq_real @ SV797 @ SV271 )
        = $false )
      | ( ( ~ ( ord_less_eq_real @ SV576 @ SV925 ) )
        = $true )
      | ( ( ~ ( ~ ( ord_less_eq_set_real @ ( set_or656347191t_real @ SV271 @ SV576 ) @ ( set_or656347191t_real @ SV797 @ SV925 ) )
              | ~ ( ~ ( ord_less_eq_real @ SV271 @ SV576 )
                  | ~ ( ~ ( ord_less_eq_real @ SV797 @ SV271 )
                      | ~ ( ord_less_eq_real @ SV576 @ SV925 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4850]) ).

thf(5009,plain,
    ! [SV926: set_re2066790124real_c,SV577: set_re2066790124real_c,SV1003: real > finite1398487019real_c] :
      ( ( ( ~ ( member1321351885real_c @ SV1003 @ SV577 )
          | ( member1321351885real_c @ SV1003 @ SV926 ) )
        = $true )
      | ( ( ord_le35002188real_c @ SV577 @ SV926 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[4852]) ).

thf(5010,plain,
    ! [SV926: set_re2066790124real_c,SV577: set_re2066790124real_c] :
      ( ( ( ~ ( ord_le35002188real_c @ SV577 @ SV926 )
          | ~ ! [SY2643: real > finite1398487019real_c] :
                ( ~ ( member1321351885real_c @ SY2643 @ SV577 )
                | ( member1321351885real_c @ SY2643 @ SV926 ) ) )
        = $false )
      | ( ( member1321351885real_c @ ( sK92_SY2643 @ SV926 @ SV577 ) @ SV577 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4853]) ).

thf(5011,plain,
    ! [SV926: set_re2066790124real_c,SV577: set_re2066790124real_c] :
      ( ( ( ~ ( ord_le35002188real_c @ SV577 @ SV926 ) )
        = $false )
      | ( ( member1321351885real_c @ ( sK92_SY2643 @ SV926 @ SV577 ) @ SV926 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4854]) ).

thf(5012,plain,
    ! [SV926: set_re2066790124real_c,SV577: set_re2066790124real_c] :
      ( ( ( ~ ! [SY2643: real > finite1398487019real_c] :
                ( ~ ( member1321351885real_c @ SY2643 @ SV577 )
                | ( member1321351885real_c @ SY2643 @ SV926 ) ) )
        = $false )
      | ( ( member1321351885real_c @ ( sK92_SY2643 @ SV926 @ SV577 ) @ SV926 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4854]) ).

thf(5013,plain,
    ! [SV927: set_Pr1389752855real_c,SV578: set_Pr1389752855real_c,SV1004: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV1004 @ SV578 )
          | ( member1895684704real_c @ SV1004 @ SV927 ) )
        = $true )
      | ( ( ord_le977353143real_c @ SV578 @ SV927 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[4856]) ).

thf(5014,plain,
    ! [SV927: set_Pr1389752855real_c,SV578: set_Pr1389752855real_c] :
      ( ( ( ~ ( ord_le977353143real_c @ SV578 @ SV927 )
          | ~ ! [SY2644: produc190496183real_c] :
                ( ~ ( member1895684704real_c @ SY2644 @ SV578 )
                | ( member1895684704real_c @ SY2644 @ SV927 ) ) )
        = $false )
      | ( ( member1895684704real_c @ ( sK93_SY2644 @ SV927 @ SV578 ) @ SV578 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4857]) ).

thf(5015,plain,
    ! [SV927: set_Pr1389752855real_c,SV578: set_Pr1389752855real_c] :
      ( ( ( ~ ( ord_le977353143real_c @ SV578 @ SV927 ) )
        = $false )
      | ( ( member1895684704real_c @ ( sK93_SY2644 @ SV927 @ SV578 ) @ SV927 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4858]) ).

thf(5016,plain,
    ! [SV927: set_Pr1389752855real_c,SV578: set_Pr1389752855real_c] :
      ( ( ( ~ ! [SY2644: produc190496183real_c] :
                ( ~ ( member1895684704real_c @ SY2644 @ SV578 )
                | ( member1895684704real_c @ SY2644 @ SV927 ) ) )
        = $false )
      | ( ( member1895684704real_c @ ( sK93_SY2644 @ SV927 @ SV578 ) @ SV927 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4858]) ).

thf(5017,plain,
    ! [SV937: produc957004601l_real,SV606: produc957004601l_real] :
      ( ( ( ~ ( ord_less_eq_real @ ( produc1422991709l_real @ SV606 ) @ ( produc1422991709l_real @ SV937 ) )
          | ~ ( ord_less_eq_real @ ( produc1407670175l_real @ SV606 ) @ ( produc1407670175l_real @ SV937 ) ) )
        = $false )
      | ( ( ord_le1342644953l_real @ SV606 @ SV937 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4860]) ).

thf(5018,plain,
    ! [SV937: produc957004601l_real,SV606: produc957004601l_real] :
      ( ( ( ord_less_eq_real @ ( produc1407670175l_real @ SV606 ) @ ( produc1407670175l_real @ SV937 ) )
        = $false )
      | ( ( ord_less_eq_real @ ( produc1422991709l_real @ SV606 ) @ ( produc1422991709l_real @ SV937 ) )
        = $false )
      | ( ( ~ ( ~ ( ord_le1342644953l_real @ SV606 @ SV937 )
              | ~ ~ ( ~ ( ord_less_eq_real @ ( produc1422991709l_real @ SV606 ) @ ( produc1422991709l_real @ SV937 ) )
                    | ~ ( ord_less_eq_real @ ( produc1407670175l_real @ SV606 ) @ ( produc1407670175l_real @ SV937 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4861]) ).

thf(5019,plain,
    ! [SV941: finite1398487019real_c,SV619: finite1398487019real_c,SV831: finite1398487019real_c,SV315: finite1398487019real_c] :
      ( ( ( ~ ( ord_le775706699real_c @ SV315 @ SV831 )
          | ~ ( ord_le775706699real_c @ SV619 @ SV941 ) )
        = $false )
      | ( ( ord_le850691415real_c @ ( produc394644079real_c @ SV315 @ SV619 ) @ ( produc394644079real_c @ SV831 @ SV941 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4868]) ).

thf(5020,plain,
    ! [SV831: finite1398487019real_c,SV315: finite1398487019real_c,SV941: finite1398487019real_c,SV619: finite1398487019real_c] :
      ( ( ( ord_le775706699real_c @ SV619 @ SV941 )
        = $false )
      | ( ( ord_le775706699real_c @ SV315 @ SV831 )
        = $false )
      | ( ( ~ ( ~ ( ord_le850691415real_c @ ( produc394644079real_c @ SV315 @ SV619 ) @ ( produc394644079real_c @ SV831 @ SV941 ) )
              | ~ ~ ( ~ ( ord_le775706699real_c @ SV315 @ SV831 )
                    | ~ ( ord_le775706699real_c @ SV619 @ SV941 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4869]) ).

thf(5021,plain,
    ! [SV832: real > set_Fi1407883041real_c,SV316: real > finite1398487019real_c,SV620: set_real,SV989: real] :
      ( ( ( ~ ( member_real @ SV989 @ SV620 ) )
        = $true )
      | ( ( member1261661570real_c @ ( SV316 @ SV989 ) @ ( SV832 @ SV989 ) )
        = $true )
      | ( ( member1321351885real_c @ SV316 @ ( pi_rea1111636068real_c @ SV620 @ SV832 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4870]) ).

thf(5022,plain,
    ! [SV832: real > set_Fi1407883041real_c,SV620: set_real,SV316: real > finite1398487019real_c] :
      ( ( ( ~ ( member1321351885real_c @ SV316 @ ( pi_rea1111636068real_c @ SV620 @ SV832 ) ) )
        = $false )
      | ( ( member_real @ ( sK81_SY2577 @ SV832 @ SV316 @ SV620 ) @ SV620 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4871]) ).

thf(5023,plain,
    ! [SV832: real > set_Fi1407883041real_c,SV316: real > finite1398487019real_c,SV620: set_real] :
      ( ( ( ~ ! [SY2577: real] :
                ( ~ ( member_real @ SY2577 @ SV620 )
                | ( member1261661570real_c @ ( SV316 @ SY2577 ) @ ( SV832 @ SY2577 ) ) ) )
        = $false )
      | ( ( member_real @ ( sK81_SY2577 @ SV832 @ SV316 @ SV620 ) @ SV620 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4871]) ).

thf(5024,plain,
    ! [SV832: real > set_Fi1407883041real_c,SV620: set_real,SV316: real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ SV316 @ ( pi_rea1111636068real_c @ SV620 @ SV832 ) )
        = $true )
      | ( ( member1261661570real_c @ ( SV316 @ ( sK81_SY2577 @ SV832 @ SV316 @ SV620 ) ) @ ( SV832 @ ( sK81_SY2577 @ SV832 @ SV316 @ SV620 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4872]) ).

thf(5025,plain,
    ! [SV832: real > set_Fi1407883041real_c,SV316: real > finite1398487019real_c,SV620: set_real] :
      ( ( ( ! [SY2577: real] :
              ( ~ ( member_real @ SY2577 @ SV620 )
              | ( member1261661570real_c @ ( SV316 @ SY2577 ) @ ( SV832 @ SY2577 ) ) ) )
        = $true )
      | ( ( member1261661570real_c @ ( SV316 @ ( sK81_SY2577 @ SV832 @ SV316 @ SV620 ) ) @ ( SV832 @ ( sK81_SY2577 @ SV832 @ SV316 @ SV620 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4873]) ).

thf(5026,plain,
    ! [SV944: produc190496183real_c,SV627: produc190496183real_c] :
      ( ( ( ( ( produc2010422875real_c @ SV627 )
           != ( produc2010422875real_c @ SV944 ) )
          | ( ( produc314122909real_c @ SV627 )
           != ( produc314122909real_c @ SV944 ) ) )
        = $false )
      | ( ( SV627 = SV944 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4875]) ).

thf(5027,plain,
    ! [SV944: produc190496183real_c,SV627: produc190496183real_c] :
      ( ( ( ( produc314122909real_c @ SV627 )
          = ( produc314122909real_c @ SV944 ) )
        = $false )
      | ( ( ( produc2010422875real_c @ SV627 )
          = ( produc2010422875real_c @ SV944 ) )
        = $false )
      | ( ( ~ ( ( SV627 != SV944 )
              | ~ ~ ( ( ( produc2010422875real_c @ SV627 )
                     != ( produc2010422875real_c @ SV944 ) )
                    | ( ( produc314122909real_c @ SV627 )
                     != ( produc314122909real_c @ SV944 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4876]) ).

thf(5028,plain,
    ! [SV945: set_Pr1389752855real_c,SV628: set_Pr1389752855real_c,SV1005: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV1005 @ SV628 )
          | ( member1895684704real_c @ SV1005 @ SV945 ) )
        = $true )
      | ( ( ord_le977353143real_c @ SV628 @ SV945 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[4878]) ).

thf(5029,plain,
    ! [SV945: set_Pr1389752855real_c,SV628: set_Pr1389752855real_c] :
      ( ( ( ~ ( ord_le977353143real_c @ SV628 @ SV945 )
          | ~ ! [SY2647: produc190496183real_c] :
                ( ~ ( member1895684704real_c @ SY2647 @ SV628 )
                | ( member1895684704real_c @ SY2647 @ SV945 ) ) )
        = $false )
      | ( ( member1895684704real_c @ ( sK95_SY2647 @ SV945 @ SV628 ) @ SV628 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4879]) ).

thf(5030,plain,
    ! [SV945: set_Pr1389752855real_c,SV628: set_Pr1389752855real_c] :
      ( ( ( ~ ( ord_le977353143real_c @ SV628 @ SV945 ) )
        = $false )
      | ( ( member1895684704real_c @ ( sK95_SY2647 @ SV945 @ SV628 ) @ SV945 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4880]) ).

thf(5031,plain,
    ! [SV945: set_Pr1389752855real_c,SV628: set_Pr1389752855real_c] :
      ( ( ( ~ ! [SY2647: produc190496183real_c] :
                ( ~ ( member1895684704real_c @ SY2647 @ SV628 )
                | ( member1895684704real_c @ SY2647 @ SV945 ) ) )
        = $false )
      | ( ( member1895684704real_c @ ( sK95_SY2647 @ SV945 @ SV628 ) @ SV945 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4880]) ).

thf(5032,plain,
    ! [SV842: set_c,SV327: set_Sum_sum_c_c,SV631: c > sum_sum_c_c] :
      ( ( ( ~ ~ ( ~ ( ord_less_eq_set_c @ ( sK101_SY2581 @ SV631 @ SV327 @ SV842 ) @ SV842 )
                | ( SV327
                 != ( image_c_Sum_sum_c_c @ SV631 @ ( sK101_SY2581 @ SV631 @ SV327 @ SV842 ) ) ) ) )
        = $false )
      | ( ( ord_le1772180283um_c_c @ SV327 @ ( image_c_Sum_sum_c_c @ SV631 @ SV842 ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[4881]) ).

thf(5033,plain,
    ! [SV631: c > sum_sum_c_c,SV327: set_Sum_sum_c_c,SV842: set_c,SV979: set_c] :
      ( ( ( ~ ( ord_less_eq_set_c @ SV979 @ SV842 ) )
        = $true )
      | ( ( SV327
         != ( image_c_Sum_sum_c_c @ SV631 @ SV979 ) )
        = $true )
      | ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV327 @ ( image_c_Sum_sum_c_c @ SV631 @ SV842 ) )
              | ~ ~ ! [SY2581: set_c] :
                      ~ ~ ( ~ ( ord_less_eq_set_c @ SY2581 @ SV842 )
                          | ( SV327
                           != ( image_c_Sum_sum_c_c @ SV631 @ SY2581 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4882]) ).

thf(5034,plain,
    ! [SV633: set_c,SV329: c > sum_sum_c_d,SV968: sum_sum_c_d,SV844: sum_sum_c_d > $o] :
      ( ( ( SV844 @ SV968 )
        = $false )
      | ( ( member_Sum_sum_c_d @ SV968 @ ( image_c_Sum_sum_c_d @ SV329 @ SV633 ) )
        = $false )
      | ( ( ~ ! [SY2585: c] :
                ~ ~ ( ~ ( member_c @ SY2585 @ SV633 )
                    | ~ ( SV844 @ ( SV329 @ SY2585 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4883]) ).

thf(5035,plain,
    ! [SV850: finite1398487019real_c,SV1006: c,SV337: finite1398487019real_c] :
      ( ( ( ord_less_eq_real @ ( finite772340578real_c @ SV337 @ SV1006 ) @ ( finite772340578real_c @ SV850 @ SV1006 ) )
        = $true )
      | ( ( ord_less_eq_real @ ( finite772340578real_c @ SV337 @ ( sK82_SY2596 @ SV850 @ SV337 ) ) @ ( finite772340578real_c @ SV850 @ ( sK82_SY2596 @ SV850 @ SV337 ) ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[4886]) ).

thf(5036,plain,
    ! [SV338: finite1398487019real_c,SV1007: c,SV7: finite1398487019real_c] :
      ( ( ( ( finite772340578real_c @ SV7 @ SV1007 )
          = ( finite772340578real_c @ SV338 @ SV1007 ) )
        = $true )
      | ( ( ( finite772340578real_c @ SV7 @ ( sK77_SV963 @ SV338 @ SV7 ) )
          = ( finite772340578real_c @ SV338 @ ( sK77_SV963 @ SV338 @ SV7 ) ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[4887]) ).

thf(5037,plain,
    ! [SV851: finite1398487019real_c,SV1008: c,SV339: finite1398487019real_c] :
      ( ( ( ( finite772340578real_c @ SV339 @ SV1008 )
          = ( finite772340578real_c @ SV851 @ SV1008 ) )
        = $true )
      | ( ( ( finite772340578real_c @ SV339 @ ( sK83_SY2597 @ SV851 @ SV339 ) )
          = ( finite772340578real_c @ SV851 @ ( sK83_SY2597 @ SV851 @ SV339 ) ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[4892]) ).

thf(5038,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ~ ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
              | ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
              | ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ ( equiv_a_b_c @ SV645 @ SV855 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4893]) ).

thf(5039,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ ( equiv_a_b_c @ SV645 @ SV855 ) ) )
          | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
           != ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4895]) ).

thf(5040,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $false )
      | ( ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
        = $true )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ ( equiv_a_b_c @ SV645 @ SV855 ) ) )
              | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
               != ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4896]) ).

thf(5041,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ~ ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
              | ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
          | ~ ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
              | ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) ) )
        = $true )
      | ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
          = ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[4898]) ).

thf(5042,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
          = ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
        = $true )
      | ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
          = ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[4898]) ).

thf(5043,plain,
    ! [SV98: $o] :
      ( ( SV98 = $false )
      | ( ( ~ ( ~ SV98
              | ~ $false ) )
        = $true )
      | ( SV98 = $false )
      | ( SV98 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4899]) ).

thf(5044,plain,
    ! [SV98: $o] :
      ( ( $false = $false )
      | ( ( ~ ( ~ SV98
              | ~ $false ) )
        = $true )
      | ( SV98 = $false )
      | ( SV98 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4899]) ).

thf(5045,plain,
    ! [SV98: $o] :
      ( ( SV98 = $false )
      | ( ( ~ ( ~ SV98
              | ~ $false ) )
        = $true )
      | ( SV98 = $false )
      | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4900]) ).

thf(5046,plain,
    ! [SV98: $o] :
      ( ( $false = $false )
      | ( ( ~ ( ~ SV98
              | ~ $false ) )
        = $true )
      | ( SV98 = $false )
      | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4900]) ).

thf(5047,plain,
    ! [SV98: $o] :
      ( ( SV98 = $false )
      | ( ( ~ ( ~ SV98
              | ~ $false ) )
        = $true )
      | ( $true = $false )
      | ( SV98 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4901]) ).

thf(5048,plain,
    ! [SV98: $o] :
      ( ( $false = $false )
      | ( ( ~ ( ~ SV98
              | ~ $false ) )
        = $true )
      | ( $true = $false )
      | ( SV98 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4901]) ).

thf(5049,plain,
    ! [SV98: $o] :
      ( ( SV98 = $false )
      | ( ( ~ ( ~ SV98
              | ~ $false ) )
        = $true )
      | ( $true = $false )
      | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4902]) ).

thf(5050,plain,
    ! [SV98: $o] :
      ( ( $false = $false )
      | ( ( ~ ( ~ SV98
              | ~ $false ) )
        = $true )
      | ( $true = $false )
      | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4902]) ).

thf(5051,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4903]) ).

thf(5052,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4903]) ).

thf(5053,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4904]) ).

thf(5054,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4904]) ).

thf(5055,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4905]) ).

thf(5056,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4905]) ).

thf(5057,plain,
    ( ( $true = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4906]) ).

thf(5058,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $true
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4906]) ).

thf(5059,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4907]) ).

thf(5060,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4907]) ).

thf(5061,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4908]) ).

thf(5062,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4908]) ).

thf(5063,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4909]) ).

thf(5064,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4909]) ).

thf(5065,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4910]) ).

thf(5066,plain,
    ( ( $false = $false )
    | ( ( ~ ( ~ $false
            | ~ $false ) )
      = $true )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4910]) ).

thf(5067,plain,
    ! [SV865: finite1398487019real_c,SV412: finite1398487019real_c,SV666: finite1398487019real_c,SV107: finite1398487019real_c] :
      ( ( ( SV107 != SV666 )
        = $false )
      | ( ( ( produc394644079real_c @ SV107 @ SV412 )
          = ( produc394644079real_c @ SV666 @ SV865 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4911]) ).

thf(5068,plain,
    ! [SV666: finite1398487019real_c,SV107: finite1398487019real_c,SV865: finite1398487019real_c,SV412: finite1398487019real_c] :
      ( ( ( SV412 != SV865 )
        = $false )
      | ( ( ( produc394644079real_c @ SV107 @ SV412 )
          = ( produc394644079real_c @ SV666 @ SV865 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4911]) ).

thf(5069,plain,
    ! [SV865: finite1398487019real_c,SV666: finite1398487019real_c,SV412: finite1398487019real_c,SV107: finite1398487019real_c] :
      ( ( ( ( ( produc394644079real_c @ SV107 @ SV412 )
           != ( produc394644079real_c @ SV666 @ SV865 ) )
          | ~ ~ ( ( SV107 != SV666 )
                | ( SV412 != SV865 ) ) )
        = $false )
      | ( ( SV107 = SV666 )
        = $false )
      | ( ( SV412 = SV865 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4912]) ).

thf(5070,plain,
    ! [SV668: set_c,SV109: set_Sum_sum_c_d,SV414: c > sum_sum_c_d] :
      ( ( ( ~ ( ~ ( ord_less_eq_set_c @ ( sK98_SY2402 @ SV414 @ SV109 @ SV668 ) @ SV668 )
              | ( SV109
               != ( image_c_Sum_sum_c_d @ SV414 @ ( sK98_SY2402 @ SV414 @ SV109 @ SV668 ) ) ) ) )
        = $true )
      | ( ( ord_le764260924um_c_d @ SV109 @ ( image_c_Sum_sum_c_d @ SV414 @ SV668 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4913]) ).

thf(5071,plain,
    ! [SV414: c > sum_sum_c_d,SV109: set_Sum_sum_c_d,SV668: set_c,SV973: set_c] :
      ( ( ( ord_less_eq_set_c @ SV973 @ SV668 )
        = $false )
      | ( ( SV109
         != ( image_c_Sum_sum_c_d @ SV414 @ SV973 ) )
        = $true )
      | ( ( ~ ( ~ ( ord_le764260924um_c_d @ SV109 @ ( image_c_Sum_sum_c_d @ SV414 @ SV668 ) )
              | ~ ~ ! [SY2402: set_c] :
                      ~ ~ ( ~ ( ord_less_eq_set_c @ SY2402 @ SV668 )
                          | ( SV109
                           != ( image_c_Sum_sum_c_d @ SV414 @ SY2402 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4914]) ).

thf(5072,plain,
    ( ( ( ~ ( initia1631504802real_c @ sol
            @ ^ [SX0: real] : ( denota1275485728_a_b_c @ i @ oDEa )
            @ ( set_or656347191t_real @ zero_zero_real @ t )
            @ ( collec230941376real_c
              @ ^ [SX0: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ SX0 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) ) )
      = $true )
    | ( ( ~ ( denota256060419gree_c @ ( sol @ zero_zero_real ) @ ab
            @ ( collect_c
              @ ^ [SX0: c] :
                  ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_BVO_a_c @ oDEa ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( static_FVO_a_c @ oDEa ) ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_FVF_a_b_c @ phi ) ) ) ) )
        | ( ab
          = ( finite557796307c_real
            @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
      = $true )
    | ( ( ( produc394644079real_c @ aa @ ba )
        = ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
      = $false )
    | ( ( ord_less_eq_real @ zero_zero_real @ t )
      = $false )
    | ( ( p = phi )
      = $false )
    | ( ( ode = oDEa )
      = $false )
    | ( ( fsafe_a_b_c @ phi )
      = $false )
    | ( ( osafe_a_c @ oDEa )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4915]) ).

thf(5073,plain,
    ! [SV670: produc190496183real_c,SV112: produc190496183real_c,SV417: produc190496183real_c] :
      ( ( ( ord_le850691415real_c @ SV417 @ SV112 )
        = $true )
      | ( ( member1895684704real_c @ SV112 @ ( set_or385782508real_c @ SV417 @ SV670 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4916]) ).

thf(5074,plain,
    ! [SV417: produc190496183real_c,SV670: produc190496183real_c,SV112: produc190496183real_c] :
      ( ( ( ord_le850691415real_c @ SV112 @ SV670 )
        = $true )
      | ( ( member1895684704real_c @ SV112 @ ( set_or385782508real_c @ SV417 @ SV670 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4917]) ).

thf(5075,plain,
    ! [SV670: produc190496183real_c,SV417: produc190496183real_c,SV112: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV112 @ ( set_or385782508real_c @ SV417 @ SV670 ) ) )
        = $false )
      | ( ( ord_le850691415real_c @ SV417 @ SV112 )
        = $false )
      | ( ( ord_le850691415real_c @ SV112 @ SV670 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4918]) ).

thf(5076,plain,
    ! [SV670: produc190496183real_c,SV112: produc190496183real_c,SV417: produc190496183real_c] :
      ( ( ( ~ ~ ( ~ ( ord_le850691415real_c @ SV417 @ SV112 )
                | ~ ( ord_le850691415real_c @ SV112 @ SV670 ) ) )
        = $false )
      | ( ( ord_le850691415real_c @ SV417 @ SV112 )
        = $false )
      | ( ( ord_le850691415real_c @ SV112 @ SV670 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4918]) ).

thf(5077,plain,
    ! [SV672: set_c,SV115: sum_sum_c_d,SV420: c > sum_sum_c_d] :
      ( ( ( ~ ( ~ ( member_c @ ( sK99_SY2406 @ SV420 @ SV115 @ SV672 ) @ SV672 )
              | ( SV115
               != ( SV420 @ ( sK99_SY2406 @ SV420 @ SV115 @ SV672 ) ) ) ) )
        = $true )
      | ( ( member_Sum_sum_c_d @ SV115 @ ( image_c_Sum_sum_c_d @ SV420 @ SV672 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4919]) ).

thf(5078,plain,
    ! [SV420: c > sum_sum_c_d,SV115: sum_sum_c_d,SV672: set_c,SV974: c] :
      ( ( ( member_c @ SV974 @ SV672 )
        = $false )
      | ( ( SV115
         != ( SV420 @ SV974 ) )
        = $true )
      | ( ( ~ ( ~ ( member_Sum_sum_c_d @ SV115 @ ( image_c_Sum_sum_c_d @ SV420 @ SV672 ) )
              | ~ ~ ! [SY2406: c] :
                      ~ ~ ( ~ ( member_c @ SY2406 @ SV672 )
                          | ( SV115
                           != ( SV420 @ SY2406 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4920]) ).

thf(5079,plain,
    ! [SV674: real,SV117: real,SV422: real] :
      ( ( ( ord_less_eq_real @ SV422 @ SV117 )
        = $true )
      | ( ( member_real @ SV117 @ ( set_or656347191t_real @ SV422 @ SV674 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4921]) ).

thf(5080,plain,
    ! [SV422: real,SV674: real,SV117: real] :
      ( ( ( ord_less_eq_real @ SV117 @ SV674 )
        = $true )
      | ( ( member_real @ SV117 @ ( set_or656347191t_real @ SV422 @ SV674 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4922]) ).

thf(5081,plain,
    ! [SV674: real,SV422: real,SV117: real] :
      ( ( ( ~ ( member_real @ SV117 @ ( set_or656347191t_real @ SV422 @ SV674 ) ) )
        = $false )
      | ( ( ord_less_eq_real @ SV422 @ SV117 )
        = $false )
      | ( ( ord_less_eq_real @ SV117 @ SV674 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4923]) ).

thf(5082,plain,
    ! [SV674: real,SV117: real,SV422: real] :
      ( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV422 @ SV117 )
                | ~ ( ord_less_eq_real @ SV117 @ SV674 ) ) )
        = $false )
      | ( ( ord_less_eq_real @ SV422 @ SV117 )
        = $false )
      | ( ( ord_less_eq_real @ SV117 @ SV674 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4923]) ).

thf(5083,plain,
    ! [SV961: set_c,SV868: finite1398487019real_c,SV424: finite1398487019real_c] :
      ( ( ( denota256060419gree_c @ SV424 @ SV868 @ SV961 )
        = $true )
      | ( ( denota256060419gree_c @ SV424 @ SV868 @ SV961 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4924]) ).

thf(5084,plain,
    ! [SV868: finite1398487019real_c,SV424: finite1398487019real_c,SV961: set_c] :
      ( ( ( ! [SY2672: c] :
              ( ~ ( member_c @ SY2672 @ SV961 )
              | ( ( finite772340578real_c @ SV424 @ SY2672 )
                = ( finite772340578real_c @ SV868 @ SY2672 ) ) ) )
        = $true )
      | ( ( denota256060419gree_c @ SV424 @ SV868 @ SV961 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4925]) ).

thf(5085,plain,
    ! [SV961: set_c,SV424: finite1398487019real_c,SV868: finite1398487019real_c] :
      ( ( ( member_c @ ( sK97_SY2672 @ SV868 @ SV424 @ SV961 ) @ SV961 )
        = $true )
      | ( ( ~ ( ~ ( denota256060419gree_c @ SV424 @ SV868 @ SV961 )
              | ~ ! [SY2672: c] :
                    ( ~ ( member_c @ SY2672 @ SV961 )
                    | ( ( finite772340578real_c @ SV424 @ SY2672 )
                      = ( finite772340578real_c @ SV868 @ SY2672 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4926]) ).

thf(5086,plain,
    ! [SV961: set_c,SV868: finite1398487019real_c,SV424: finite1398487019real_c] :
      ( ( ( ~ ( denota256060419gree_c @ SV424 @ SV868 @ SV961 )
          | ~ ! [SY2672: c] :
                ( ~ ( member_c @ SY2672 @ SV961 )
                | ( ( finite772340578real_c @ SV424 @ SY2672 )
                  = ( finite772340578real_c @ SV868 @ SY2672 ) ) ) )
        = $false )
      | ( ( ( finite772340578real_c @ SV424 @ ( sK97_SY2672 @ SV868 @ SV424 @ SV961 ) )
          = ( finite772340578real_c @ SV868 @ ( sK97_SY2672 @ SV868 @ SV424 @ SV961 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4927]) ).

thf(5087,plain,
    ! [SV869: set_Sum_sum_c_d,SV430: set_Sum_sum_c_d,SV994: sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_d @ SV994 @ SV430 ) )
        = $true )
      | ( ( member_Sum_sum_c_d @ SV994 @ SV869 )
        = $true )
      | ( ( ord_le764260924um_c_d @ SV430 @ SV869 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4928]) ).

thf(5088,plain,
    ! [SV869: set_Sum_sum_c_d,SV430: set_Sum_sum_c_d] :
      ( ( ( ~ ( ord_le764260924um_c_d @ SV430 @ SV869 ) )
        = $false )
      | ( ( member_Sum_sum_c_d @ ( sK84_SY2624 @ SV869 @ SV430 ) @ SV430 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4929]) ).

thf(5089,plain,
    ! [SV869: set_Sum_sum_c_d,SV430: set_Sum_sum_c_d] :
      ( ( ( ~ ! [SY2624: sum_sum_c_d] :
                ( ~ ( member_Sum_sum_c_d @ SY2624 @ SV430 )
                | ( member_Sum_sum_c_d @ SY2624 @ SV869 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_d @ ( sK84_SY2624 @ SV869 @ SV430 ) @ SV430 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4929]) ).

thf(5090,plain,
    ! [SV869: set_Sum_sum_c_d,SV430: set_Sum_sum_c_d] :
      ( ( ( ord_le764260924um_c_d @ SV430 @ SV869 )
        = $true )
      | ( ( member_Sum_sum_c_d @ ( sK84_SY2624 @ SV869 @ SV430 ) @ SV869 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4930]) ).

thf(5091,plain,
    ! [SV869: set_Sum_sum_c_d,SV430: set_Sum_sum_c_d] :
      ( ( ( ! [SY2624: sum_sum_c_d] :
              ( ~ ( member_Sum_sum_c_d @ SY2624 @ SV430 )
              | ( member_Sum_sum_c_d @ SY2624 @ SV869 ) ) )
        = $true )
      | ( ( member_Sum_sum_c_d @ ( sK84_SY2624 @ SV869 @ SV430 ) @ SV869 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4931]) ).

thf(5092,plain,
    ! [SV871: set_re2066790124real_c,SV437: set_re2066790124real_c,SV995: real > finite1398487019real_c] :
      ( ( ( ~ ( member1321351885real_c @ SV995 @ SV437 ) )
        = $true )
      | ( ( member1321351885real_c @ SV995 @ SV871 )
        = $true )
      | ( ( ord_le35002188real_c @ SV437 @ SV871 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4932]) ).

thf(5093,plain,
    ! [SV871: set_re2066790124real_c,SV437: set_re2066790124real_c] :
      ( ( ( ~ ( ord_le35002188real_c @ SV437 @ SV871 ) )
        = $false )
      | ( ( member1321351885real_c @ ( sK85_SY2625 @ SV871 @ SV437 ) @ SV437 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4933]) ).

thf(5094,plain,
    ! [SV871: set_re2066790124real_c,SV437: set_re2066790124real_c] :
      ( ( ( ~ ! [SY2625: real > finite1398487019real_c] :
                ( ~ ( member1321351885real_c @ SY2625 @ SV437 )
                | ( member1321351885real_c @ SY2625 @ SV871 ) ) )
        = $false )
      | ( ( member1321351885real_c @ ( sK85_SY2625 @ SV871 @ SV437 ) @ SV437 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4933]) ).

thf(5095,plain,
    ! [SV871: set_re2066790124real_c,SV437: set_re2066790124real_c] :
      ( ( ( ord_le35002188real_c @ SV437 @ SV871 )
        = $true )
      | ( ( member1321351885real_c @ ( sK85_SY2625 @ SV871 @ SV437 ) @ SV871 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4934]) ).

thf(5096,plain,
    ! [SV871: set_re2066790124real_c,SV437: set_re2066790124real_c] :
      ( ( ( ! [SY2625: real > finite1398487019real_c] :
              ( ~ ( member1321351885real_c @ SY2625 @ SV437 )
              | ( member1321351885real_c @ SY2625 @ SV871 ) ) )
        = $true )
      | ( ( member1321351885real_c @ ( sK85_SY2625 @ SV871 @ SV437 ) @ SV871 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4935]) ).

thf(5097,plain,
    ! [SV446: finite1398487019real_c > $o,SV1009: finite1398487019real_c,SV141: finite1398487019real_c > $o] :
      ( ( ( ~ ( SV141 @ SV1009 )
          | ( SV446 @ SV1009 ) )
        = $true )
      | ( ( SV141 @ ( sK64_SY2024 @ SV446 @ SV141 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[4938]) ).

thf(5098,plain,
    ! [SV446: finite1398487019real_c > $o,SV996: finite1398487019real_c,SV141: finite1398487019real_c > $o] :
      ( ( ( ~ ( SV141 @ SV996 ) )
        = $true )
      | ( ( SV446 @ SV996 )
        = $true )
      | ( ( SV446 @ ( sK64_SY2024 @ SV446 @ SV141 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4939]) ).

thf(5099,plain,
    ! [SV693: real > finite1398487019real_c,SV875: real > set_Fi1407883041real_c,SV143: set_real,SV448: real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ SV448 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) )
        = $false )
      | ( ( ~ ( ~ ( member1321351885real_c @ SV448 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) )
              | ~ ( member1321351885real_c @ SV693 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) ) ) )
        = $true )
      | ( ( member_real @ ( sK66_SY2432 @ SV875 @ SV693 @ SV448 @ SV143 ) @ SV143 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4940]) ).

thf(5100,plain,
    ! [SV448: real > finite1398487019real_c,SV875: real > set_Fi1407883041real_c,SV143: set_real,SV693: real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ SV693 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) )
        = $false )
      | ( ( ~ ( ~ ( member1321351885real_c @ SV448 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) )
              | ~ ( member1321351885real_c @ SV693 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) ) ) )
        = $true )
      | ( ( member_real @ ( sK66_SY2432 @ SV875 @ SV693 @ SV448 @ SV143 ) @ SV143 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4940]) ).

thf(5101,plain,
    ! [SV693: real > finite1398487019real_c,SV875: real > set_Fi1407883041real_c,SV143: set_real,SV448: real > finite1398487019real_c] :
      ( ( ( ~ ( member1321351885real_c @ SV448 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) )
          | ~ ( member1321351885real_c @ SV693 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) ) )
        = $false )
      | ( ( member1321351885real_c @ SV448 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) )
        = $false )
      | ( ( ( SV448 @ ( sK66_SY2432 @ SV875 @ SV693 @ SV448 @ SV143 ) )
          = ( SV693 @ ( sK66_SY2432 @ SV875 @ SV693 @ SV448 @ SV143 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4941]) ).

thf(5102,plain,
    ! [SV693: real > finite1398487019real_c,SV875: real > set_Fi1407883041real_c,SV143: set_real,SV448: real > finite1398487019real_c] :
      ( ( ( ~ ( member1321351885real_c @ SV448 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) )
          | ~ ( member1321351885real_c @ SV693 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) ) )
        = $false )
      | ( ( member1321351885real_c @ SV693 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) )
        = $false )
      | ( ( ( SV448 @ ( sK66_SY2432 @ SV875 @ SV693 @ SV448 @ SV143 ) )
          = ( SV693 @ ( sK66_SY2432 @ SV875 @ SV693 @ SV448 @ SV143 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4942]) ).

thf(5103,plain,
    ! [SV699: set_Sum_sum_c_d,SV150: c > sum_sum_c_d,SV454: set_c,SV987: c] :
      ( ( ( member_c @ SV987 @ SV454 )
        = $false )
      | ( ( member_Sum_sum_c_d @ ( SV150 @ SV987 ) @ SV699 )
        = $true )
      | ( ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV150 @ SV454 ) @ SV699 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4943]) ).

thf(5104,plain,
    ! [SV699: set_Sum_sum_c_d,SV454: set_c,SV150: c > sum_sum_c_d] :
      ( ( ( ord_le764260924um_c_d @ ( image_c_Sum_sum_c_d @ SV150 @ SV454 ) @ SV699 )
        = $true )
      | ( ( member_c @ ( sK78_SY2440 @ SV699 @ SV150 @ SV454 ) @ SV454 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4944]) ).

thf(5105,plain,
    ! [SV699: set_Sum_sum_c_d,SV150: c > sum_sum_c_d,SV454: set_c] :
      ( ( ( ! [SY2440: c] :
              ( ~ ( member_c @ SY2440 @ SV454 )
              | ( member_Sum_sum_c_d @ ( SV150 @ SY2440 ) @ SV699 ) ) )
        = $true )
      | ( ( member_c @ ( sK78_SY2440 @ SV699 @ SV150 @ SV454 ) @ SV454 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4945]) ).

thf(5106,plain,
    ! [SV699: set_Sum_sum_c_d,SV150: c > sum_sum_c_d,SV454: set_c,SV1010: c] :
      ( ( ( ~ ( member_c @ SV1010 @ SV454 )
          | ( member_Sum_sum_c_d @ ( SV150 @ SV1010 ) @ SV699 ) )
        = $true )
      | ( ( member_Sum_sum_c_d @ ( SV150 @ ( sK78_SY2440 @ SV699 @ SV150 @ SV454 ) ) @ SV699 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[4947]) ).

thf(5107,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
           != ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
          | ~ ~ ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
                    | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
                | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
                    | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4948]) ).

thf(5108,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $true )
      | ( ( ~ ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
               != ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
              | ~ ~ ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
                        | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
                    | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
                        | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4949]) ).

thf(5109,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
          | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) ) )
        = $true )
      | ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          = ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[4950]) ).

thf(5110,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          = ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $true )
      | ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          = ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[4950]) ).

thf(5111,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
          | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
              | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) )
        = $false )
      | ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          = ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4951]) ).

thf(5112,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
              | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) )
        = $true )
      | ( ( ~ ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
               != ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
              | ~ ~ ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
                        | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
                    | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
                        | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4952]) ).

thf(5113,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
          | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( ~ ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
               != ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
              | ~ ~ ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
                        | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
                    | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
                        | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4953]) ).

thf(5114,plain,
    ! [SV706: set_Sum_sum_c_c,SV161: c > sum_sum_c_c,SV465: set_c,SV988: c] :
      ( ( ( member_c @ SV988 @ SV465 )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( SV161 @ SV988 ) @ SV706 )
        = $true )
      | ( ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV161 @ SV465 ) @ SV706 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4954]) ).

thf(5115,plain,
    ! [SV706: set_Sum_sum_c_c,SV465: set_c,SV161: c > sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ ( image_c_Sum_sum_c_c @ SV161 @ SV465 ) @ SV706 )
        = $true )
      | ( ( member_c @ ( sK79_SY2448 @ SV706 @ SV161 @ SV465 ) @ SV465 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4955]) ).

thf(5116,plain,
    ! [SV706: set_Sum_sum_c_c,SV161: c > sum_sum_c_c,SV465: set_c] :
      ( ( ( ! [SY2448: c] :
              ( ~ ( member_c @ SY2448 @ SV465 )
              | ( member_Sum_sum_c_c @ ( SV161 @ SY2448 ) @ SV706 ) ) )
        = $true )
      | ( ( member_c @ ( sK79_SY2448 @ SV706 @ SV161 @ SV465 ) @ SV465 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4956]) ).

thf(5117,plain,
    ! [SV706: set_Sum_sum_c_c,SV161: c > sum_sum_c_c,SV465: set_c,SV1011: c] :
      ( ( ( ~ ( member_c @ SV1011 @ SV465 )
          | ( member_Sum_sum_c_c @ ( SV161 @ SV1011 ) @ SV706 ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( SV161 @ ( sK79_SY2448 @ SV706 @ SV161 @ SV465 ) ) @ SV706 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[4958]) ).

thf(5118,plain,
    ! [SV883: real,SV467: real,SV708: real,SV163: real] :
      ( ( ( ( SV163 != SV708 )
          | ( SV467 != SV883 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 )
              | ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) ) )
        = $true )
      | ( ( ( set_or656347191t_real @ SV163 @ SV467 )
          = ( set_or656347191t_real @ SV708 @ SV883 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4959]) ).

thf(5119,plain,
    ! [SV708: real,SV163: real,SV883: real,SV467: real] :
      ( ( ( SV467 = SV883 )
        = $false )
      | ( ( SV163 = SV708 )
        = $false )
      | ( ( ~ ( ( ( set_or656347191t_real @ SV163 @ SV467 )
               != ( set_or656347191t_real @ SV708 @ SV883 ) )
              | ~ ( ~ ( ( SV163 != SV708 )
                      | ( SV467 != SV883 ) )
                  | ~ ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 )
                      | ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4960]) ).

thf(5120,plain,
    ! [SV883: real,SV708: real,SV467: real,SV163: real] :
      ( ( ( ord_less_eq_real @ SV163 @ SV467 )
        = $true )
      | ( ( ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) )
        = $true )
      | ( ( ~ ( ( ( set_or656347191t_real @ SV163 @ SV467 )
               != ( set_or656347191t_real @ SV708 @ SV883 ) )
              | ~ ( ~ ( ( SV163 != SV708 )
                      | ( SV467 != SV883 ) )
                  | ~ ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 )
                      | ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4961]) ).

thf(5121,plain,
    ! [SV962: set_Sum_sum_c_c,SV886: produc190496183real_c,SV481: produc190496183real_c] :
      ( ( ( denota1997846518gree_c @ SV481 @ SV886 @ SV962 )
        = $true )
      | ( ( denota1997846518gree_c @ SV481 @ SV886 @ SV962 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4962]) ).

thf(5122,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c] :
      ( ( ( ~ ( ~ ! [SY2673: c] :
                    ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2673 ) @ SV962 )
                    | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2673 )
                      = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2673 ) ) )
              | ~ ! [SY2674: c] :
                    ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
                    | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                      = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) ) )
        = $true )
      | ( ( denota1997846518gree_c @ SV481 @ SV886 @ SV962 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4963]) ).

thf(5123,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c] :
      ( ( ( ! [SY2673: c] :
              ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2673 ) @ SV962 )
              | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2673 )
                = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2673 ) ) ) )
        = $false )
      | ( ( ~ ! [SY2674: c] :
                ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
                | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                  = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( denota1997846518gree_c @ SV481 @ SV886 @ SV962 )
              | ~ ~ ( ~ ! [SY2673: c] :
                          ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2673 ) @ SV962 )
                          | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2673 )
                            = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2673 ) ) )
                    | ~ ! [SY2674: c] :
                          ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
                          | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                            = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4964]) ).

thf(5124,plain,
    ! [SV887: finite1398487019real_c,SV487: finite1398487019real_c,SV724: finite1398487019real_c,SV184: finite1398487019real_c] :
      ( ( ( SV184 != SV724 )
        = $false )
      | ( ( ( produc394644079real_c @ SV184 @ SV487 )
          = ( produc394644079real_c @ SV724 @ SV887 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4965]) ).

thf(5125,plain,
    ! [SV724: finite1398487019real_c,SV184: finite1398487019real_c,SV887: finite1398487019real_c,SV487: finite1398487019real_c] :
      ( ( ( SV487 != SV887 )
        = $false )
      | ( ( ( produc394644079real_c @ SV184 @ SV487 )
          = ( produc394644079real_c @ SV724 @ SV887 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4965]) ).

thf(5126,plain,
    ! [SV887: finite1398487019real_c,SV724: finite1398487019real_c,SV487: finite1398487019real_c,SV184: finite1398487019real_c] :
      ( ( ( ( ( produc394644079real_c @ SV184 @ SV487 )
           != ( produc394644079real_c @ SV724 @ SV887 ) )
          | ~ ~ ( ( SV184 != SV724 )
                | ( SV487 != SV887 ) ) )
        = $false )
      | ( ( SV184 = SV724 )
        = $false )
      | ( ( SV487 = SV887 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4966]) ).

thf(5127,plain,
    ! [SV889: set_Sum_sum_c_c,SV494: set_Sum_sum_c_c,SV997: sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ SV997 @ SV494 ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ SV997 @ SV889 )
        = $true )
      | ( ( ord_le1772180283um_c_c @ SV494 @ SV889 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4967]) ).

thf(5128,plain,
    ! [SV889: set_Sum_sum_c_c,SV494: set_Sum_sum_c_c] :
      ( ( ( ~ ( ord_le1772180283um_c_c @ SV494 @ SV889 ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( sK86_SY2635 @ SV889 @ SV494 ) @ SV494 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4968]) ).

thf(5129,plain,
    ! [SV889: set_Sum_sum_c_c,SV494: set_Sum_sum_c_c] :
      ( ( ( ~ ! [SY2635: sum_sum_c_c] :
                ( ~ ( member_Sum_sum_c_c @ SY2635 @ SV494 )
                | ( member_Sum_sum_c_c @ SY2635 @ SV889 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( sK86_SY2635 @ SV889 @ SV494 ) @ SV494 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4968]) ).

thf(5130,plain,
    ! [SV889: set_Sum_sum_c_c,SV494: set_Sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ SV494 @ SV889 )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sK86_SY2635 @ SV889 @ SV494 ) @ SV889 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4969]) ).

thf(5131,plain,
    ! [SV889: set_Sum_sum_c_c,SV494: set_Sum_sum_c_c] :
      ( ( ( ! [SY2635: sum_sum_c_c] :
              ( ~ ( member_Sum_sum_c_c @ SY2635 @ SV494 )
              | ( member_Sum_sum_c_c @ SY2635 @ SV889 ) ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sK86_SY2635 @ SV889 @ SV494 ) @ SV889 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4970]) ).

thf(5132,plain,
    ! [SV892: set_Sum_sum_c_c,SV501: set_Sum_sum_c_c,SV998: sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ SV998 @ SV501 ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ SV998 @ SV892 )
        = $true )
      | ( ( ord_le1772180283um_c_c @ SV501 @ SV892 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4971]) ).

thf(5133,plain,
    ! [SV892: set_Sum_sum_c_c,SV501: set_Sum_sum_c_c] :
      ( ( ( ~ ( ord_le1772180283um_c_c @ SV501 @ SV892 ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( sK87_SY2636 @ SV892 @ SV501 ) @ SV501 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4972]) ).

thf(5134,plain,
    ! [SV892: set_Sum_sum_c_c,SV501: set_Sum_sum_c_c] :
      ( ( ( ~ ! [SY2636: sum_sum_c_c] :
                ( ~ ( member_Sum_sum_c_c @ SY2636 @ SV501 )
                | ( member_Sum_sum_c_c @ SY2636 @ SV892 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( sK87_SY2636 @ SV892 @ SV501 ) @ SV501 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4972]) ).

thf(5135,plain,
    ! [SV892: set_Sum_sum_c_c,SV501: set_Sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ SV501 @ SV892 )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sK87_SY2636 @ SV892 @ SV501 ) @ SV892 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4973]) ).

thf(5136,plain,
    ! [SV892: set_Sum_sum_c_c,SV501: set_Sum_sum_c_c] :
      ( ( ( ! [SY2636: sum_sum_c_c] :
              ( ~ ( member_Sum_sum_c_c @ SY2636 @ SV501 )
              | ( member_Sum_sum_c_c @ SY2636 @ SV892 ) ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sK87_SY2636 @ SV892 @ SV501 ) @ SV892 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4974]) ).

thf(5137,plain,
    ! [SV899: set_c,SV514: set_c,SV999: c] :
      ( ( ( ~ ( member_c @ SV999 @ SV514 ) )
        = $true )
      | ( ( member_c @ SV999 @ SV899 )
        = $true )
      | ( ( ord_less_eq_set_c @ SV514 @ SV899 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4975]) ).

thf(5138,plain,
    ! [SV899: set_c,SV514: set_c] :
      ( ( ( ~ ( ord_less_eq_set_c @ SV514 @ SV899 ) )
        = $false )
      | ( ( member_c @ ( sK88_SY2637 @ SV899 @ SV514 ) @ SV514 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4976]) ).

thf(5139,plain,
    ! [SV899: set_c,SV514: set_c] :
      ( ( ( ~ ! [SY2637: c] :
                ( ~ ( member_c @ SY2637 @ SV514 )
                | ( member_c @ SY2637 @ SV899 ) ) )
        = $false )
      | ( ( member_c @ ( sK88_SY2637 @ SV899 @ SV514 ) @ SV514 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4976]) ).

thf(5140,plain,
    ! [SV899: set_c,SV514: set_c] :
      ( ( ( ord_less_eq_set_c @ SV514 @ SV899 )
        = $true )
      | ( ( member_c @ ( sK88_SY2637 @ SV899 @ SV514 ) @ SV899 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4977]) ).

thf(5141,plain,
    ! [SV899: set_c,SV514: set_c] :
      ( ( ( ! [SY2637: c] :
              ( ~ ( member_c @ SY2637 @ SV514 )
              | ( member_c @ SY2637 @ SV899 ) ) )
        = $true )
      | ( ( member_c @ ( sK88_SY2637 @ SV899 @ SV514 ) @ SV899 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4978]) ).

thf(5142,plain,
    ! [SV745: real > finite1398487019real_c,SV212: real > finite1398487019real_c,SV515: real > finite1398487019real_c] :
      ( ( ( ord_le584953750real_c @ SV515 @ SV212 )
        = $true )
      | ( ( member1321351885real_c @ SV212 @ ( set_or1308937537real_c @ SV515 @ SV745 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4979]) ).

thf(5143,plain,
    ! [SV515: real > finite1398487019real_c,SV745: real > finite1398487019real_c,SV212: real > finite1398487019real_c] :
      ( ( ( ord_le584953750real_c @ SV212 @ SV745 )
        = $true )
      | ( ( member1321351885real_c @ SV212 @ ( set_or1308937537real_c @ SV515 @ SV745 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4980]) ).

thf(5144,plain,
    ! [SV745: real > finite1398487019real_c,SV515: real > finite1398487019real_c,SV212: real > finite1398487019real_c] :
      ( ( ( ~ ( member1321351885real_c @ SV212 @ ( set_or1308937537real_c @ SV515 @ SV745 ) ) )
        = $false )
      | ( ( ord_le584953750real_c @ SV515 @ SV212 )
        = $false )
      | ( ( ord_le584953750real_c @ SV212 @ SV745 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4981]) ).

thf(5145,plain,
    ! [SV745: real > finite1398487019real_c,SV212: real > finite1398487019real_c,SV515: real > finite1398487019real_c] :
      ( ( ( ~ ~ ( ~ ( ord_le584953750real_c @ SV515 @ SV212 )
                | ~ ( ord_le584953750real_c @ SV212 @ SV745 ) ) )
        = $false )
      | ( ( ord_le584953750real_c @ SV515 @ SV212 )
        = $false )
      | ( ( ord_le584953750real_c @ SV212 @ SV745 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4981]) ).

thf(5146,plain,
    ! [SV747: set_c,SV214: sum_sum_c_c,SV517: c > sum_sum_c_c] :
      ( ( ( ~ ( ~ ( member_c @ ( sK100_SY2491 @ SV517 @ SV214 @ SV747 ) @ SV747 )
              | ( SV214
               != ( SV517 @ ( sK100_SY2491 @ SV517 @ SV214 @ SV747 ) ) ) ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ SV214 @ ( image_c_Sum_sum_c_c @ SV517 @ SV747 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4982]) ).

thf(5147,plain,
    ! [SV517: c > sum_sum_c_c,SV214: sum_sum_c_c,SV747: set_c,SV977: c] :
      ( ( ( member_c @ SV977 @ SV747 )
        = $false )
      | ( ( SV214
         != ( SV517 @ SV977 ) )
        = $true )
      | ( ( ~ ( ~ ( member_Sum_sum_c_c @ SV214 @ ( image_c_Sum_sum_c_c @ SV517 @ SV747 ) )
              | ~ ~ ! [SY2491: c] :
                      ~ ~ ( ~ ( member_c @ SY2491 @ SV747 )
                          | ( SV214
                           != ( SV517 @ SY2491 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4983]) ).

thf(5148,plain,
    ( ( ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
      = $false )
    | ( ( ( finite772340578real_c
          @ ( produc2010422875real_c
            @ ( denota161327353_a_b_c @ i @ oDEa
              @ ( produc394644079real_c
                @ ( finite557796307c_real
                  @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                @ bb )
              @ ( finite557796307c_real
                @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
          @ i2 )
        = ( finite772340578real_c @ ( sol @ zero_zero_real ) @ i2 ) )
      = $true )
    | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $true )
    | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4984]) ).

thf(5149,plain,
    ( ( ( ~ ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) ) )
      = $false )
    | ( ( ( finite772340578real_c
          @ ( produc2010422875real_c
            @ ( denota161327353_a_b_c @ i @ oDEa
              @ ( produc394644079real_c
                @ ( finite557796307c_real
                  @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                @ bb )
              @ ( finite557796307c_real
                @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
          @ i2 )
        = ( finite772340578real_c @ ab @ i2 ) )
      = $true )
    | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $true )
    | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4985]) ).

thf(5150,plain,
    ! [SV906: real,SV530: real,SV760: real,SV227: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV227 @ SV760 ) )
        = $false )
      | ( ( ord_le1342644953l_real @ ( produc705216881l_real @ SV227 @ SV530 ) @ ( produc705216881l_real @ SV760 @ SV906 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4986]) ).

thf(5151,plain,
    ! [SV760: real,SV227: real,SV906: real,SV530: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV530 @ SV906 ) )
        = $false )
      | ( ( ord_le1342644953l_real @ ( produc705216881l_real @ SV227 @ SV530 ) @ ( produc705216881l_real @ SV760 @ SV906 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4986]) ).

thf(5152,plain,
    ! [SV906: real,SV760: real,SV530: real,SV227: real] :
      ( ( ( ~ ( ord_le1342644953l_real @ ( produc705216881l_real @ SV227 @ SV530 ) @ ( produc705216881l_real @ SV760 @ SV906 ) )
          | ~ ~ ( ~ ( ord_less_eq_real @ SV227 @ SV760 )
                | ~ ( ord_less_eq_real @ SV530 @ SV906 ) ) )
        = $false )
      | ( ( ord_less_eq_real @ SV227 @ SV760 )
        = $false )
      | ( ( ord_less_eq_real @ SV530 @ SV906 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4987]) ).

thf(5153,plain,
    ! [SV908: set_Sum_sum_c_d,SV534: set_Sum_sum_c_d,SV1000: sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_d @ SV1000 @ SV534 ) )
        = $true )
      | ( ( member_Sum_sum_c_d @ SV1000 @ SV908 )
        = $true )
      | ( ( ord_le764260924um_c_d @ SV534 @ SV908 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4988]) ).

thf(5154,plain,
    ! [SV908: set_Sum_sum_c_d,SV534: set_Sum_sum_c_d] :
      ( ( ( ~ ( ord_le764260924um_c_d @ SV534 @ SV908 ) )
        = $false )
      | ( ( member_Sum_sum_c_d @ ( sK90_SY2639 @ SV908 @ SV534 ) @ SV534 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4989]) ).

thf(5155,plain,
    ! [SV908: set_Sum_sum_c_d,SV534: set_Sum_sum_c_d] :
      ( ( ( ~ ! [SY2639: sum_sum_c_d] :
                ( ~ ( member_Sum_sum_c_d @ SY2639 @ SV534 )
                | ( member_Sum_sum_c_d @ SY2639 @ SV908 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_d @ ( sK90_SY2639 @ SV908 @ SV534 ) @ SV534 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4989]) ).

thf(5156,plain,
    ! [SV908: set_Sum_sum_c_d,SV534: set_Sum_sum_c_d] :
      ( ( ( ord_le764260924um_c_d @ SV534 @ SV908 )
        = $true )
      | ( ( member_Sum_sum_c_d @ ( sK90_SY2639 @ SV908 @ SV534 ) @ SV908 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4990]) ).

thf(5157,plain,
    ! [SV908: set_Sum_sum_c_d,SV534: set_Sum_sum_c_d] :
      ( ( ( ! [SY2639: sum_sum_c_d] :
              ( ~ ( member_Sum_sum_c_d @ SY2639 @ SV534 )
              | ( member_Sum_sum_c_d @ SY2639 @ SV908 ) ) )
        = $true )
      | ( ( member_Sum_sum_c_d @ ( sK90_SY2639 @ SV908 @ SV534 ) @ SV908 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4991]) ).

thf(5158,plain,
    ! [SV909: set_c,SV536: set_c,SV1001: c] :
      ( ( ( ~ ( member_c @ SV1001 @ SV536 ) )
        = $true )
      | ( ( member_c @ SV1001 @ SV909 )
        = $true )
      | ( ( ord_less_eq_set_c @ SV536 @ SV909 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4992]) ).

thf(5159,plain,
    ! [SV909: set_c,SV536: set_c] :
      ( ( ( ~ ( ord_less_eq_set_c @ SV536 @ SV909 ) )
        = $false )
      | ( ( member_c @ ( sK91_SY2640 @ SV909 @ SV536 ) @ SV536 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4993]) ).

thf(5160,plain,
    ! [SV909: set_c,SV536: set_c] :
      ( ( ( ~ ! [SY2640: c] :
                ( ~ ( member_c @ SY2640 @ SV536 )
                | ( member_c @ SY2640 @ SV909 ) ) )
        = $false )
      | ( ( member_c @ ( sK91_SY2640 @ SV909 @ SV536 ) @ SV536 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4993]) ).

thf(5161,plain,
    ! [SV909: set_c,SV536: set_c] :
      ( ( ( ord_less_eq_set_c @ SV536 @ SV909 )
        = $true )
      | ( ( member_c @ ( sK91_SY2640 @ SV909 @ SV536 ) @ SV909 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4994]) ).

thf(5162,plain,
    ! [SV909: set_c,SV536: set_c] :
      ( ( ( ! [SY2640: c] :
              ( ~ ( member_c @ SY2640 @ SV536 )
              | ( member_c @ SY2640 @ SV909 ) ) )
        = $true )
      | ( ( member_c @ ( sK91_SY2640 @ SV909 @ SV536 ) @ SV909 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4995]) ).

thf(5163,plain,
    ! [SV966: sum_sum_c_c,SV235: c > sum_sum_c_c,SV767: sum_sum_c_c > $o,SV538: set_c] :
      ( ( ( ! [SY2511: c] :
              ~ ~ ( ~ ( member_c @ SY2511 @ SV538 )
                  | ~ ( SV767 @ ( SV235 @ SY2511 ) ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ SV966 @ ( image_c_Sum_sum_c_c @ SV235 @ SV538 ) )
        = $false )
      | ( ( SV767 @ SV966 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4996]) ).

thf(5164,plain,
    ! [SV914: produc190496183real_c,SV548: produc190496183real_c] :
      ( ( ( ~ ( ord_le775706699real_c @ ( produc2010422875real_c @ SV548 ) @ ( produc2010422875real_c @ SV914 ) ) )
        = $false )
      | ( ( ord_le850691415real_c @ SV548 @ SV914 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4997]) ).

thf(5165,plain,
    ! [SV914: produc190496183real_c,SV548: produc190496183real_c] :
      ( ( ( ~ ( ord_le775706699real_c @ ( produc314122909real_c @ SV548 ) @ ( produc314122909real_c @ SV914 ) ) )
        = $false )
      | ( ( ord_le850691415real_c @ SV548 @ SV914 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4997]) ).

thf(5166,plain,
    ! [SV914: produc190496183real_c,SV548: produc190496183real_c] :
      ( ( ( ~ ( ord_le850691415real_c @ SV548 @ SV914 )
          | ~ ~ ( ~ ( ord_le775706699real_c @ ( produc2010422875real_c @ SV548 ) @ ( produc2010422875real_c @ SV914 ) )
                | ~ ( ord_le775706699real_c @ ( produc314122909real_c @ SV548 ) @ ( produc314122909real_c @ SV914 ) ) ) )
        = $false )
      | ( ( ord_le775706699real_c @ ( produc2010422875real_c @ SV548 ) @ ( produc2010422875real_c @ SV914 ) )
        = $false )
      | ( ( ord_le775706699real_c @ ( produc314122909real_c @ SV548 ) @ ( produc314122909real_c @ SV914 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4998]) ).

thf(5167,plain,
    ! [SV553: c > $o,SV1012: c,SV250: c > $o] :
      ( ( ( ~ ( SV250 @ SV1012 )
          | ( SV553 @ SV1012 ) )
        = $true )
      | ( ( SV250 @ ( sK72_SY2211 @ SV553 @ SV250 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[5001]) ).

thf(5168,plain,
    ! [SV553: c > $o,SV1002: c,SV250: c > $o] :
      ( ( ( ~ ( SV250 @ SV1002 ) )
        = $true )
      | ( ( SV553 @ SV1002 )
        = $true )
      | ( ( SV553 @ ( sK72_SY2211 @ SV553 @ SV250 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5002]) ).

thf(5169,plain,
    ( ( ( ~ ( initia1631504802real_c @ sol
            @ ^ [SX0: real] : ( denota1275485728_a_b_c @ i @ oDEa )
            @ ( set_or656347191t_real @ zero_zero_real @ t )
            @ ( collec230941376real_c
              @ ^ [SX0: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ SX0 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) ) )
      = $true )
    | ( ( ~ ( denota256060419gree_c @ ( sol @ zero_zero_real ) @ ab
            @ ( collect_c
              @ ^ [SX0: c] :
                  ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_BVO_a_c @ oDEa ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( static_FVO_a_c @ oDEa ) ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_FVF_a_b_c @ phi ) ) ) ) )
        | ( ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) )
          = ( denota161327353_a_b_c @ i @ oDEa
            @ ( produc394644079real_c
              @ ( finite557796307c_real
                @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
              @ bb )
            @ ( finite557796307c_real
              @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ t ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) ) )
      = $true )
    | ( ( ( produc394644079real_c @ aa @ ba )
        = ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
      = $false )
    | ( ( ord_less_eq_real @ zero_zero_real @ t )
      = $false )
    | ( ( p = phi )
      = $false )
    | ( ( ode = oDEa )
      = $false )
    | ( ( fsafe_a_b_c @ phi )
      = $false )
    | ( ( osafe_a_c @ oDEa )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5003]) ).

thf(5170,plain,
    ( ( ( ~ ( initia1631504802real_c @ sol
            @ ^ [SX0: real] : ( denota1275485728_a_b_c @ i @ oDEa )
            @ ( set_or656347191t_real @ zero_zero_real @ t )
            @ ( collec230941376real_c
              @ ^ [SX0: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ SX0 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) ) )
      = $true )
    | ( ( ~ ( denota256060419gree_c @ ( sol @ zero_zero_real ) @ ab
            @ ( collect_c
              @ ^ [SX0: c] :
                  ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_BVO_a_c @ oDEa ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( static_FVO_a_c @ oDEa ) ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_FVF_a_b_c @ phi ) ) ) ) )
        | ( ord_less_eq_real @ zero_zero_real @ t ) )
      = $true )
    | ( ( ( produc394644079real_c @ aa @ ba )
        = ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
      = $false )
    | ( ( ord_less_eq_real @ zero_zero_real @ t )
      = $false )
    | ( ( p = phi )
      = $false )
    | ( ( ode = oDEa )
      = $false )
    | ( ( fsafe_a_b_c @ phi )
      = $false )
    | ( ( osafe_a_c @ oDEa )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5004]) ).

thf(5171,plain,
    ! [SV925: real,SV797: real,SV576: real,SV271: real] :
      ( ( ( ord_less_eq_real @ SV271 @ SV576 )
        = $false )
      | ( ( ~ ( ~ ( ord_less_eq_real @ SV797 @ SV271 )
              | ~ ( ord_less_eq_real @ SV576 @ SV925 ) ) )
        = $true )
      | ( ( ord_less_eq_set_real @ ( set_or656347191t_real @ SV271 @ SV576 ) @ ( set_or656347191t_real @ SV797 @ SV925 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5005]) ).

thf(5172,plain,
    ! [SV925: real,SV797: real,SV576: real,SV271: real] :
      ( ( ( ord_less_eq_set_real @ ( set_or656347191t_real @ SV271 @ SV576 ) @ ( set_or656347191t_real @ SV797 @ SV925 ) )
        = $true )
      | ( ( ord_less_eq_real @ SV271 @ SV576 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5006]) ).

thf(5173,plain,
    ! [SV925: real,SV797: real,SV576: real,SV271: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV271 @ SV576 )
          | ~ ( ~ ( ord_less_eq_real @ SV797 @ SV271 )
              | ~ ( ord_less_eq_real @ SV576 @ SV925 ) ) )
        = $true )
      | ( ( ord_less_eq_real @ SV271 @ SV576 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5007]) ).

thf(5174,plain,
    ! [SV271: real,SV797: real,SV925: real,SV576: real] :
      ( ( ( ord_less_eq_real @ SV576 @ SV925 )
        = $false )
      | ( ( ord_less_eq_real @ SV797 @ SV271 )
        = $false )
      | ( ( ~ ( ~ ( ord_less_eq_set_real @ ( set_or656347191t_real @ SV271 @ SV576 ) @ ( set_or656347191t_real @ SV797 @ SV925 ) )
              | ~ ( ~ ( ord_less_eq_real @ SV271 @ SV576 )
                  | ~ ( ~ ( ord_less_eq_real @ SV797 @ SV271 )
                      | ~ ( ord_less_eq_real @ SV576 @ SV925 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5008]) ).

thf(5175,plain,
    ! [SV926: set_re2066790124real_c,SV577: set_re2066790124real_c,SV1003: real > finite1398487019real_c] :
      ( ( ( ~ ( member1321351885real_c @ SV1003 @ SV577 ) )
        = $true )
      | ( ( member1321351885real_c @ SV1003 @ SV926 )
        = $true )
      | ( ( ord_le35002188real_c @ SV577 @ SV926 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5009]) ).

thf(5176,plain,
    ! [SV926: set_re2066790124real_c,SV577: set_re2066790124real_c] :
      ( ( ( ~ ( ord_le35002188real_c @ SV577 @ SV926 ) )
        = $false )
      | ( ( member1321351885real_c @ ( sK92_SY2643 @ SV926 @ SV577 ) @ SV577 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5010]) ).

thf(5177,plain,
    ! [SV926: set_re2066790124real_c,SV577: set_re2066790124real_c] :
      ( ( ( ~ ! [SY2643: real > finite1398487019real_c] :
                ( ~ ( member1321351885real_c @ SY2643 @ SV577 )
                | ( member1321351885real_c @ SY2643 @ SV926 ) ) )
        = $false )
      | ( ( member1321351885real_c @ ( sK92_SY2643 @ SV926 @ SV577 ) @ SV577 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5010]) ).

thf(5178,plain,
    ! [SV926: set_re2066790124real_c,SV577: set_re2066790124real_c] :
      ( ( ( ord_le35002188real_c @ SV577 @ SV926 )
        = $true )
      | ( ( member1321351885real_c @ ( sK92_SY2643 @ SV926 @ SV577 ) @ SV926 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5011]) ).

thf(5179,plain,
    ! [SV926: set_re2066790124real_c,SV577: set_re2066790124real_c] :
      ( ( ( ! [SY2643: real > finite1398487019real_c] :
              ( ~ ( member1321351885real_c @ SY2643 @ SV577 )
              | ( member1321351885real_c @ SY2643 @ SV926 ) ) )
        = $true )
      | ( ( member1321351885real_c @ ( sK92_SY2643 @ SV926 @ SV577 ) @ SV926 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5012]) ).

thf(5180,plain,
    ! [SV927: set_Pr1389752855real_c,SV578: set_Pr1389752855real_c,SV1004: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV1004 @ SV578 ) )
        = $true )
      | ( ( member1895684704real_c @ SV1004 @ SV927 )
        = $true )
      | ( ( ord_le977353143real_c @ SV578 @ SV927 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5013]) ).

thf(5181,plain,
    ! [SV927: set_Pr1389752855real_c,SV578: set_Pr1389752855real_c] :
      ( ( ( ~ ( ord_le977353143real_c @ SV578 @ SV927 ) )
        = $false )
      | ( ( member1895684704real_c @ ( sK93_SY2644 @ SV927 @ SV578 ) @ SV578 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5014]) ).

thf(5182,plain,
    ! [SV927: set_Pr1389752855real_c,SV578: set_Pr1389752855real_c] :
      ( ( ( ~ ! [SY2644: produc190496183real_c] :
                ( ~ ( member1895684704real_c @ SY2644 @ SV578 )
                | ( member1895684704real_c @ SY2644 @ SV927 ) ) )
        = $false )
      | ( ( member1895684704real_c @ ( sK93_SY2644 @ SV927 @ SV578 ) @ SV578 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5014]) ).

thf(5183,plain,
    ! [SV927: set_Pr1389752855real_c,SV578: set_Pr1389752855real_c] :
      ( ( ( ord_le977353143real_c @ SV578 @ SV927 )
        = $true )
      | ( ( member1895684704real_c @ ( sK93_SY2644 @ SV927 @ SV578 ) @ SV927 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5015]) ).

thf(5184,plain,
    ! [SV927: set_Pr1389752855real_c,SV578: set_Pr1389752855real_c] :
      ( ( ( ! [SY2644: produc190496183real_c] :
              ( ~ ( member1895684704real_c @ SY2644 @ SV578 )
              | ( member1895684704real_c @ SY2644 @ SV927 ) ) )
        = $true )
      | ( ( member1895684704real_c @ ( sK93_SY2644 @ SV927 @ SV578 ) @ SV927 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5016]) ).

thf(5185,plain,
    ! [SV937: produc957004601l_real,SV606: produc957004601l_real] :
      ( ( ( ~ ( ord_less_eq_real @ ( produc1422991709l_real @ SV606 ) @ ( produc1422991709l_real @ SV937 ) ) )
        = $false )
      | ( ( ord_le1342644953l_real @ SV606 @ SV937 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5017]) ).

thf(5186,plain,
    ! [SV937: produc957004601l_real,SV606: produc957004601l_real] :
      ( ( ( ~ ( ord_less_eq_real @ ( produc1407670175l_real @ SV606 ) @ ( produc1407670175l_real @ SV937 ) ) )
        = $false )
      | ( ( ord_le1342644953l_real @ SV606 @ SV937 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5017]) ).

thf(5187,plain,
    ! [SV937: produc957004601l_real,SV606: produc957004601l_real] :
      ( ( ( ~ ( ord_le1342644953l_real @ SV606 @ SV937 )
          | ~ ~ ( ~ ( ord_less_eq_real @ ( produc1422991709l_real @ SV606 ) @ ( produc1422991709l_real @ SV937 ) )
                | ~ ( ord_less_eq_real @ ( produc1407670175l_real @ SV606 ) @ ( produc1407670175l_real @ SV937 ) ) ) )
        = $false )
      | ( ( ord_less_eq_real @ ( produc1422991709l_real @ SV606 ) @ ( produc1422991709l_real @ SV937 ) )
        = $false )
      | ( ( ord_less_eq_real @ ( produc1407670175l_real @ SV606 ) @ ( produc1407670175l_real @ SV937 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5018]) ).

thf(5188,plain,
    ! [SV941: finite1398487019real_c,SV619: finite1398487019real_c,SV831: finite1398487019real_c,SV315: finite1398487019real_c] :
      ( ( ( ~ ( ord_le775706699real_c @ SV315 @ SV831 ) )
        = $false )
      | ( ( ord_le850691415real_c @ ( produc394644079real_c @ SV315 @ SV619 ) @ ( produc394644079real_c @ SV831 @ SV941 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5019]) ).

thf(5189,plain,
    ! [SV831: finite1398487019real_c,SV315: finite1398487019real_c,SV941: finite1398487019real_c,SV619: finite1398487019real_c] :
      ( ( ( ~ ( ord_le775706699real_c @ SV619 @ SV941 ) )
        = $false )
      | ( ( ord_le850691415real_c @ ( produc394644079real_c @ SV315 @ SV619 ) @ ( produc394644079real_c @ SV831 @ SV941 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5019]) ).

thf(5190,plain,
    ! [SV941: finite1398487019real_c,SV831: finite1398487019real_c,SV619: finite1398487019real_c,SV315: finite1398487019real_c] :
      ( ( ( ~ ( ord_le850691415real_c @ ( produc394644079real_c @ SV315 @ SV619 ) @ ( produc394644079real_c @ SV831 @ SV941 ) )
          | ~ ~ ( ~ ( ord_le775706699real_c @ SV315 @ SV831 )
                | ~ ( ord_le775706699real_c @ SV619 @ SV941 ) ) )
        = $false )
      | ( ( ord_le775706699real_c @ SV315 @ SV831 )
        = $false )
      | ( ( ord_le775706699real_c @ SV619 @ SV941 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5020]) ).

thf(5191,plain,
    ! [SV832: real > set_Fi1407883041real_c,SV316: real > finite1398487019real_c,SV620: set_real,SV989: real] :
      ( ( ( member_real @ SV989 @ SV620 )
        = $false )
      | ( ( member1261661570real_c @ ( SV316 @ SV989 ) @ ( SV832 @ SV989 ) )
        = $true )
      | ( ( member1321351885real_c @ SV316 @ ( pi_rea1111636068real_c @ SV620 @ SV832 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5021]) ).

thf(5192,plain,
    ! [SV832: real > set_Fi1407883041real_c,SV620: set_real,SV316: real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ SV316 @ ( pi_rea1111636068real_c @ SV620 @ SV832 ) )
        = $true )
      | ( ( member_real @ ( sK81_SY2577 @ SV832 @ SV316 @ SV620 ) @ SV620 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5022]) ).

thf(5193,plain,
    ! [SV832: real > set_Fi1407883041real_c,SV316: real > finite1398487019real_c,SV620: set_real] :
      ( ( ( ! [SY2577: real] :
              ( ~ ( member_real @ SY2577 @ SV620 )
              | ( member1261661570real_c @ ( SV316 @ SY2577 ) @ ( SV832 @ SY2577 ) ) ) )
        = $true )
      | ( ( member_real @ ( sK81_SY2577 @ SV832 @ SV316 @ SV620 ) @ SV620 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5023]) ).

thf(5194,plain,
    ! [SV832: real > set_Fi1407883041real_c,SV316: real > finite1398487019real_c,SV620: set_real,SV1013: real] :
      ( ( ( ~ ( member_real @ SV1013 @ SV620 )
          | ( member1261661570real_c @ ( SV316 @ SV1013 ) @ ( SV832 @ SV1013 ) ) )
        = $true )
      | ( ( member1261661570real_c @ ( SV316 @ ( sK81_SY2577 @ SV832 @ SV316 @ SV620 ) ) @ ( SV832 @ ( sK81_SY2577 @ SV832 @ SV316 @ SV620 ) ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[5025]) ).

thf(5195,plain,
    ! [SV944: produc190496183real_c,SV627: produc190496183real_c] :
      ( ( ( ( produc2010422875real_c @ SV627 )
         != ( produc2010422875real_c @ SV944 ) )
        = $false )
      | ( ( SV627 = SV944 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5026]) ).

thf(5196,plain,
    ! [SV944: produc190496183real_c,SV627: produc190496183real_c] :
      ( ( ( ( produc314122909real_c @ SV627 )
         != ( produc314122909real_c @ SV944 ) )
        = $false )
      | ( ( SV627 = SV944 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5026]) ).

thf(5197,plain,
    ! [SV944: produc190496183real_c,SV627: produc190496183real_c] :
      ( ( ( ( SV627 != SV944 )
          | ~ ~ ( ( ( produc2010422875real_c @ SV627 )
                 != ( produc2010422875real_c @ SV944 ) )
                | ( ( produc314122909real_c @ SV627 )
                 != ( produc314122909real_c @ SV944 ) ) ) )
        = $false )
      | ( ( ( produc2010422875real_c @ SV627 )
          = ( produc2010422875real_c @ SV944 ) )
        = $false )
      | ( ( ( produc314122909real_c @ SV627 )
          = ( produc314122909real_c @ SV944 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5027]) ).

thf(5198,plain,
    ! [SV945: set_Pr1389752855real_c,SV628: set_Pr1389752855real_c,SV1005: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV1005 @ SV628 ) )
        = $true )
      | ( ( member1895684704real_c @ SV1005 @ SV945 )
        = $true )
      | ( ( ord_le977353143real_c @ SV628 @ SV945 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5028]) ).

thf(5199,plain,
    ! [SV945: set_Pr1389752855real_c,SV628: set_Pr1389752855real_c] :
      ( ( ( ~ ( ord_le977353143real_c @ SV628 @ SV945 ) )
        = $false )
      | ( ( member1895684704real_c @ ( sK95_SY2647 @ SV945 @ SV628 ) @ SV628 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5029]) ).

thf(5200,plain,
    ! [SV945: set_Pr1389752855real_c,SV628: set_Pr1389752855real_c] :
      ( ( ( ~ ! [SY2647: produc190496183real_c] :
                ( ~ ( member1895684704real_c @ SY2647 @ SV628 )
                | ( member1895684704real_c @ SY2647 @ SV945 ) ) )
        = $false )
      | ( ( member1895684704real_c @ ( sK95_SY2647 @ SV945 @ SV628 ) @ SV628 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5029]) ).

thf(5201,plain,
    ! [SV945: set_Pr1389752855real_c,SV628: set_Pr1389752855real_c] :
      ( ( ( ord_le977353143real_c @ SV628 @ SV945 )
        = $true )
      | ( ( member1895684704real_c @ ( sK95_SY2647 @ SV945 @ SV628 ) @ SV945 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5030]) ).

thf(5202,plain,
    ! [SV945: set_Pr1389752855real_c,SV628: set_Pr1389752855real_c] :
      ( ( ( ! [SY2647: produc190496183real_c] :
              ( ~ ( member1895684704real_c @ SY2647 @ SV628 )
              | ( member1895684704real_c @ SY2647 @ SV945 ) ) )
        = $true )
      | ( ( member1895684704real_c @ ( sK95_SY2647 @ SV945 @ SV628 ) @ SV945 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5031]) ).

thf(5203,plain,
    ! [SV842: set_c,SV327: set_Sum_sum_c_c,SV631: c > sum_sum_c_c] :
      ( ( ( ~ ( ~ ( ord_less_eq_set_c @ ( sK101_SY2581 @ SV631 @ SV327 @ SV842 ) @ SV842 )
              | ( SV327
               != ( image_c_Sum_sum_c_c @ SV631 @ ( sK101_SY2581 @ SV631 @ SV327 @ SV842 ) ) ) ) )
        = $true )
      | ( ( ord_le1772180283um_c_c @ SV327 @ ( image_c_Sum_sum_c_c @ SV631 @ SV842 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5032]) ).

thf(5204,plain,
    ! [SV631: c > sum_sum_c_c,SV327: set_Sum_sum_c_c,SV842: set_c,SV979: set_c] :
      ( ( ( ord_less_eq_set_c @ SV979 @ SV842 )
        = $false )
      | ( ( SV327
         != ( image_c_Sum_sum_c_c @ SV631 @ SV979 ) )
        = $true )
      | ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV327 @ ( image_c_Sum_sum_c_c @ SV631 @ SV842 ) )
              | ~ ~ ! [SY2581: set_c] :
                      ~ ~ ( ~ ( ord_less_eq_set_c @ SY2581 @ SV842 )
                          | ( SV327
                           != ( image_c_Sum_sum_c_c @ SV631 @ SY2581 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5033]) ).

thf(5205,plain,
    ! [SV968: sum_sum_c_d,SV329: c > sum_sum_c_d,SV844: sum_sum_c_d > $o,SV633: set_c] :
      ( ( ( ! [SY2585: c] :
              ~ ~ ( ~ ( member_c @ SY2585 @ SV633 )
                  | ~ ( SV844 @ ( SV329 @ SY2585 ) ) ) )
        = $false )
      | ( ( member_Sum_sum_c_d @ SV968 @ ( image_c_Sum_sum_c_d @ SV329 @ SV633 ) )
        = $false )
      | ( ( SV844 @ SV968 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5034]) ).

thf(5206,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
          | ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
        = $false )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
              | ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ ( equiv_a_b_c @ SV645 @ SV855 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5038]) ).

thf(5207,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ ( equiv_a_b_c @ SV645 @ SV855 ) ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5039]) ).

thf(5208,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
         != ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5039]) ).

thf(5209,plain,
    ! [SV645: formula_a_b_c,SV855: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $false )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ ( equiv_a_b_c @ SV645 @ SV855 ) ) )
              | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
               != ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5040]) ).

thf(5210,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ~ ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
              | ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
              | ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) ) )
        = $true )
      | ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
          = ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5041]) ).

thf(5211,plain,
    ! [SV98: $o] :
      ( ( ( ~ SV98
          | ~ $false )
        = $false )
      | ( SV98 = $false )
      | ( SV98 = $false )
      | ( SV98 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5043]) ).

thf(5212,plain,
    ! [SV98: $o] :
      ( ( ( ~ SV98
          | ~ $false )
        = $false )
      | ( $false = $false )
      | ( SV98 = $false )
      | ( SV98 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5044]) ).

thf(5213,plain,
    ! [SV98: $o] :
      ( ( ( ~ SV98
          | ~ $false )
        = $false )
      | ( SV98 = $false )
      | ( SV98 = $false )
      | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5045]) ).

thf(5214,plain,
    ! [SV98: $o] :
      ( ( ( ~ SV98
          | ~ $false )
        = $false )
      | ( $false = $false )
      | ( SV98 = $false )
      | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5046]) ).

thf(5215,plain,
    ! [SV98: $o] :
      ( ( ( ~ SV98
          | ~ $false )
        = $false )
      | ( SV98 = $false )
      | ( $true = $false )
      | ( SV98 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5047]) ).

thf(5216,plain,
    ! [SV98: $o] :
      ( ( ( ~ SV98
          | ~ $false )
        = $false )
      | ( $false = $false )
      | ( $true = $false )
      | ( SV98 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5048]) ).

thf(5217,plain,
    ! [SV98: $o] :
      ( ( ( ~ SV98
          | ~ $false )
        = $false )
      | ( SV98 = $false )
      | ( $true = $false )
      | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5049]) ).

thf(5218,plain,
    ! [SV98: $o] :
      ( ( ( ~ SV98
          | ~ $false )
        = $false )
      | ( $false = $false )
      | ( $true = $false )
      | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5050]) ).

thf(5219,plain,
    ( ( ( ~ $true
        | ~ $false )
      = $false )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5051]) ).

thf(5220,plain,
    ( ( ( ~ $true
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5052]) ).

thf(5221,plain,
    ( ( ( ~ $true
        | ~ $false )
      = $false )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5053]) ).

thf(5222,plain,
    ( ( ( ~ $true
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5054]) ).

thf(5223,plain,
    ( ( ( ~ $true
        | ~ $false )
      = $false )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5055]) ).

thf(5224,plain,
    ( ( ( ~ $true
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5056]) ).

thf(5225,plain,
    ( ( ( ~ $true
        | ~ $false )
      = $false )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5057]) ).

thf(5226,plain,
    ( ( ( ~ $true
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5058]) ).

thf(5227,plain,
    ( ( ( ~ $false
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5059]) ).

thf(5228,plain,
    ( ( ( ~ $false
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5060]) ).

thf(5229,plain,
    ( ( ( ~ $false
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5061]) ).

thf(5230,plain,
    ( ( ( ~ $false
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5062]) ).

thf(5231,plain,
    ( ( ( ~ $false
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5063]) ).

thf(5232,plain,
    ( ( ( ~ $false
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5064]) ).

thf(5233,plain,
    ( ( ( ~ $false
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5065]) ).

thf(5234,plain,
    ( ( ( ~ $false
        | ~ $false )
      = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5066]) ).

thf(5235,plain,
    ! [SV865: finite1398487019real_c,SV412: finite1398487019real_c,SV666: finite1398487019real_c,SV107: finite1398487019real_c] :
      ( ( ( SV107 = SV666 )
        = $true )
      | ( ( ( produc394644079real_c @ SV107 @ SV412 )
          = ( produc394644079real_c @ SV666 @ SV865 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5067]) ).

thf(5236,plain,
    ! [SV666: finite1398487019real_c,SV107: finite1398487019real_c,SV865: finite1398487019real_c,SV412: finite1398487019real_c] :
      ( ( ( SV412 = SV865 )
        = $true )
      | ( ( ( produc394644079real_c @ SV107 @ SV412 )
          = ( produc394644079real_c @ SV666 @ SV865 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5068]) ).

thf(5237,plain,
    ! [SV865: finite1398487019real_c,SV666: finite1398487019real_c,SV412: finite1398487019real_c,SV107: finite1398487019real_c] :
      ( ( ( ( produc394644079real_c @ SV107 @ SV412 )
         != ( produc394644079real_c @ SV666 @ SV865 ) )
        = $false )
      | ( ( SV107 = SV666 )
        = $false )
      | ( ( SV412 = SV865 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5069]) ).

thf(5238,plain,
    ! [SV865: finite1398487019real_c,SV412: finite1398487019real_c,SV666: finite1398487019real_c,SV107: finite1398487019real_c] :
      ( ( ( ~ ~ ( ( SV107 != SV666 )
                | ( SV412 != SV865 ) ) )
        = $false )
      | ( ( SV107 = SV666 )
        = $false )
      | ( ( SV412 = SV865 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5069]) ).

thf(5239,plain,
    ! [SV668: set_c,SV109: set_Sum_sum_c_d,SV414: c > sum_sum_c_d] :
      ( ( ( ~ ( ord_less_eq_set_c @ ( sK98_SY2402 @ SV414 @ SV109 @ SV668 ) @ SV668 )
          | ( SV109
           != ( image_c_Sum_sum_c_d @ SV414 @ ( sK98_SY2402 @ SV414 @ SV109 @ SV668 ) ) ) )
        = $false )
      | ( ( ord_le764260924um_c_d @ SV109 @ ( image_c_Sum_sum_c_d @ SV414 @ SV668 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5070]) ).

thf(5240,plain,
    ! [SV668: set_c,SV973: set_c,SV414: c > sum_sum_c_d,SV109: set_Sum_sum_c_d] :
      ( ( ( SV109
          = ( image_c_Sum_sum_c_d @ SV414 @ SV973 ) )
        = $false )
      | ( ( ord_less_eq_set_c @ SV973 @ SV668 )
        = $false )
      | ( ( ~ ( ~ ( ord_le764260924um_c_d @ SV109 @ ( image_c_Sum_sum_c_d @ SV414 @ SV668 ) )
              | ~ ~ ! [SY2402: set_c] :
                      ~ ~ ( ~ ( ord_less_eq_set_c @ SY2402 @ SV668 )
                          | ( SV109
                           != ( image_c_Sum_sum_c_d @ SV414 @ SY2402 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5071]) ).

thf(5241,plain,
    ( ( ( initia1631504802real_c @ sol
        @ ^ [SX0: real] : ( denota1275485728_a_b_c @ i @ oDEa )
        @ ( set_or656347191t_real @ zero_zero_real @ t )
        @ ( collec230941376real_c
          @ ^ [SX0: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ SX0 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) )
      = $false )
    | ( ( ~ ( denota256060419gree_c @ ( sol @ zero_zero_real ) @ ab
            @ ( collect_c
              @ ^ [SX0: c] :
                  ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_BVO_a_c @ oDEa ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( static_FVO_a_c @ oDEa ) ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_FVF_a_b_c @ phi ) ) ) ) )
        | ( ab
          = ( finite557796307c_real
            @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
      = $true )
    | ( ( ( produc394644079real_c @ aa @ ba )
        = ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
      = $false )
    | ( ( ord_less_eq_real @ zero_zero_real @ t )
      = $false )
    | ( ( p = phi )
      = $false )
    | ( ( ode = oDEa )
      = $false )
    | ( ( fsafe_a_b_c @ phi )
      = $false )
    | ( ( osafe_a_c @ oDEa )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5072]) ).

thf(5242,plain,
    ! [SV670: produc190496183real_c,SV417: produc190496183real_c,SV112: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV112 @ ( set_or385782508real_c @ SV417 @ SV670 ) )
        = $true )
      | ( ( ord_le850691415real_c @ SV417 @ SV112 )
        = $false )
      | ( ( ord_le850691415real_c @ SV112 @ SV670 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5075]) ).

thf(5243,plain,
    ! [SV670: produc190496183real_c,SV112: produc190496183real_c,SV417: produc190496183real_c] :
      ( ( ( ~ ( ~ ( ord_le850691415real_c @ SV417 @ SV112 )
              | ~ ( ord_le850691415real_c @ SV112 @ SV670 ) ) )
        = $true )
      | ( ( ord_le850691415real_c @ SV417 @ SV112 )
        = $false )
      | ( ( ord_le850691415real_c @ SV112 @ SV670 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5076]) ).

thf(5244,plain,
    ! [SV672: set_c,SV115: sum_sum_c_d,SV420: c > sum_sum_c_d] :
      ( ( ( ~ ( member_c @ ( sK99_SY2406 @ SV420 @ SV115 @ SV672 ) @ SV672 )
          | ( SV115
           != ( SV420 @ ( sK99_SY2406 @ SV420 @ SV115 @ SV672 ) ) ) )
        = $false )
      | ( ( member_Sum_sum_c_d @ SV115 @ ( image_c_Sum_sum_c_d @ SV420 @ SV672 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5077]) ).

thf(5245,plain,
    ! [SV672: set_c,SV974: c,SV420: c > sum_sum_c_d,SV115: sum_sum_c_d] :
      ( ( ( SV115
          = ( SV420 @ SV974 ) )
        = $false )
      | ( ( member_c @ SV974 @ SV672 )
        = $false )
      | ( ( ~ ( ~ ( member_Sum_sum_c_d @ SV115 @ ( image_c_Sum_sum_c_d @ SV420 @ SV672 ) )
              | ~ ~ ! [SY2406: c] :
                      ~ ~ ( ~ ( member_c @ SY2406 @ SV672 )
                          | ( SV115
                           != ( SV420 @ SY2406 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5078]) ).

thf(5246,plain,
    ! [SV674: real,SV422: real,SV117: real] :
      ( ( ( member_real @ SV117 @ ( set_or656347191t_real @ SV422 @ SV674 ) )
        = $true )
      | ( ( ord_less_eq_real @ SV422 @ SV117 )
        = $false )
      | ( ( ord_less_eq_real @ SV117 @ SV674 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5081]) ).

thf(5247,plain,
    ! [SV674: real,SV117: real,SV422: real] :
      ( ( ( ~ ( ~ ( ord_less_eq_real @ SV422 @ SV117 )
              | ~ ( ord_less_eq_real @ SV117 @ SV674 ) ) )
        = $true )
      | ( ( ord_less_eq_real @ SV422 @ SV117 )
        = $false )
      | ( ( ord_less_eq_real @ SV117 @ SV674 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5082]) ).

thf(5248,plain,
    ! [SV868: finite1398487019real_c,SV424: finite1398487019real_c,SV961: set_c,SV1014: c] :
      ( ( ( ~ ( member_c @ SV1014 @ SV961 )
          | ( ( finite772340578real_c @ SV424 @ SV1014 )
            = ( finite772340578real_c @ SV868 @ SV1014 ) ) )
        = $true )
      | ( ( denota256060419gree_c @ SV424 @ SV868 @ SV961 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[5084]) ).

thf(5249,plain,
    ! [SV961: set_c,SV868: finite1398487019real_c,SV424: finite1398487019real_c] :
      ( ( ( ~ ( denota256060419gree_c @ SV424 @ SV868 @ SV961 )
          | ~ ! [SY2672: c] :
                ( ~ ( member_c @ SY2672 @ SV961 )
                | ( ( finite772340578real_c @ SV424 @ SY2672 )
                  = ( finite772340578real_c @ SV868 @ SY2672 ) ) ) )
        = $false )
      | ( ( member_c @ ( sK97_SY2672 @ SV868 @ SV424 @ SV961 ) @ SV961 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5085]) ).

thf(5250,plain,
    ! [SV961: set_c,SV868: finite1398487019real_c,SV424: finite1398487019real_c] :
      ( ( ( ~ ( denota256060419gree_c @ SV424 @ SV868 @ SV961 ) )
        = $false )
      | ( ( ( finite772340578real_c @ SV424 @ ( sK97_SY2672 @ SV868 @ SV424 @ SV961 ) )
          = ( finite772340578real_c @ SV868 @ ( sK97_SY2672 @ SV868 @ SV424 @ SV961 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5086]) ).

thf(5251,plain,
    ! [SV868: finite1398487019real_c,SV424: finite1398487019real_c,SV961: set_c] :
      ( ( ( ~ ! [SY2672: c] :
                ( ~ ( member_c @ SY2672 @ SV961 )
                | ( ( finite772340578real_c @ SV424 @ SY2672 )
                  = ( finite772340578real_c @ SV868 @ SY2672 ) ) ) )
        = $false )
      | ( ( ( finite772340578real_c @ SV424 @ ( sK97_SY2672 @ SV868 @ SV424 @ SV961 ) )
          = ( finite772340578real_c @ SV868 @ ( sK97_SY2672 @ SV868 @ SV424 @ SV961 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5086]) ).

thf(5252,plain,
    ! [SV869: set_Sum_sum_c_d,SV430: set_Sum_sum_c_d,SV994: sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ SV994 @ SV430 )
        = $false )
      | ( ( member_Sum_sum_c_d @ SV994 @ SV869 )
        = $true )
      | ( ( ord_le764260924um_c_d @ SV430 @ SV869 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5087]) ).

thf(5253,plain,
    ! [SV869: set_Sum_sum_c_d,SV430: set_Sum_sum_c_d] :
      ( ( ( ord_le764260924um_c_d @ SV430 @ SV869 )
        = $true )
      | ( ( member_Sum_sum_c_d @ ( sK84_SY2624 @ SV869 @ SV430 ) @ SV430 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5088]) ).

thf(5254,plain,
    ! [SV869: set_Sum_sum_c_d,SV430: set_Sum_sum_c_d] :
      ( ( ( ! [SY2624: sum_sum_c_d] :
              ( ~ ( member_Sum_sum_c_d @ SY2624 @ SV430 )
              | ( member_Sum_sum_c_d @ SY2624 @ SV869 ) ) )
        = $true )
      | ( ( member_Sum_sum_c_d @ ( sK84_SY2624 @ SV869 @ SV430 ) @ SV430 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5089]) ).

thf(5255,plain,
    ! [SV869: set_Sum_sum_c_d,SV430: set_Sum_sum_c_d,SV1015: sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_d @ SV1015 @ SV430 )
          | ( member_Sum_sum_c_d @ SV1015 @ SV869 ) )
        = $true )
      | ( ( member_Sum_sum_c_d @ ( sK84_SY2624 @ SV869 @ SV430 ) @ SV869 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[5091]) ).

thf(5256,plain,
    ! [SV871: set_re2066790124real_c,SV437: set_re2066790124real_c,SV995: real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ SV995 @ SV437 )
        = $false )
      | ( ( member1321351885real_c @ SV995 @ SV871 )
        = $true )
      | ( ( ord_le35002188real_c @ SV437 @ SV871 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5092]) ).

thf(5257,plain,
    ! [SV871: set_re2066790124real_c,SV437: set_re2066790124real_c] :
      ( ( ( ord_le35002188real_c @ SV437 @ SV871 )
        = $true )
      | ( ( member1321351885real_c @ ( sK85_SY2625 @ SV871 @ SV437 ) @ SV437 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5093]) ).

thf(5258,plain,
    ! [SV871: set_re2066790124real_c,SV437: set_re2066790124real_c] :
      ( ( ( ! [SY2625: real > finite1398487019real_c] :
              ( ~ ( member1321351885real_c @ SY2625 @ SV437 )
              | ( member1321351885real_c @ SY2625 @ SV871 ) ) )
        = $true )
      | ( ( member1321351885real_c @ ( sK85_SY2625 @ SV871 @ SV437 ) @ SV437 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5094]) ).

thf(5259,plain,
    ! [SV871: set_re2066790124real_c,SV437: set_re2066790124real_c,SV1016: real > finite1398487019real_c] :
      ( ( ( ~ ( member1321351885real_c @ SV1016 @ SV437 )
          | ( member1321351885real_c @ SV1016 @ SV871 ) )
        = $true )
      | ( ( member1321351885real_c @ ( sK85_SY2625 @ SV871 @ SV437 ) @ SV871 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[5096]) ).

thf(5260,plain,
    ! [SV446: finite1398487019real_c > $o,SV1009: finite1398487019real_c,SV141: finite1398487019real_c > $o] :
      ( ( ( ~ ( SV141 @ SV1009 ) )
        = $true )
      | ( ( SV446 @ SV1009 )
        = $true )
      | ( ( SV141 @ ( sK64_SY2024 @ SV446 @ SV141 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[5097]) ).

thf(5261,plain,
    ! [SV446: finite1398487019real_c > $o,SV996: finite1398487019real_c,SV141: finite1398487019real_c > $o] :
      ( ( ( SV141 @ SV996 )
        = $false )
      | ( ( SV446 @ SV996 )
        = $true )
      | ( ( SV446 @ ( sK64_SY2024 @ SV446 @ SV141 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5098]) ).

thf(5262,plain,
    ! [SV693: real > finite1398487019real_c,SV875: real > set_Fi1407883041real_c,SV143: set_real,SV448: real > finite1398487019real_c] :
      ( ( ( ~ ( member1321351885real_c @ SV448 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) )
          | ~ ( member1321351885real_c @ SV693 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) ) )
        = $false )
      | ( ( member1321351885real_c @ SV448 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) )
        = $false )
      | ( ( member_real @ ( sK66_SY2432 @ SV875 @ SV693 @ SV448 @ SV143 ) @ SV143 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5099]) ).

thf(5263,plain,
    ! [SV693: real > finite1398487019real_c,SV875: real > set_Fi1407883041real_c,SV143: set_real,SV448: real > finite1398487019real_c] :
      ( ( ( ~ ( member1321351885real_c @ SV448 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) )
          | ~ ( member1321351885real_c @ SV693 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) ) )
        = $false )
      | ( ( member1321351885real_c @ SV693 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) )
        = $false )
      | ( ( member_real @ ( sK66_SY2432 @ SV875 @ SV693 @ SV448 @ SV143 ) @ SV143 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5100]) ).

thf(5264,plain,
    ! [SV693: real > finite1398487019real_c,SV875: real > set_Fi1407883041real_c,SV143: set_real,SV448: real > finite1398487019real_c] :
      ( ( ( ~ ( member1321351885real_c @ SV448 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) ) )
        = $false )
      | ( ( member1321351885real_c @ SV448 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) )
        = $false )
      | ( ( ( SV448 @ ( sK66_SY2432 @ SV875 @ SV693 @ SV448 @ SV143 ) )
          = ( SV693 @ ( sK66_SY2432 @ SV875 @ SV693 @ SV448 @ SV143 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5101]) ).

thf(5265,plain,
    ! [SV448: real > finite1398487019real_c,SV875: real > set_Fi1407883041real_c,SV143: set_real,SV693: real > finite1398487019real_c] :
      ( ( ( ~ ( member1321351885real_c @ SV693 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) ) )
        = $false )
      | ( ( member1321351885real_c @ SV448 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) )
        = $false )
      | ( ( ( SV448 @ ( sK66_SY2432 @ SV875 @ SV693 @ SV448 @ SV143 ) )
          = ( SV693 @ ( sK66_SY2432 @ SV875 @ SV693 @ SV448 @ SV143 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5101]) ).

thf(5266,plain,
    ! [SV693: real > finite1398487019real_c,SV875: real > set_Fi1407883041real_c,SV143: set_real,SV448: real > finite1398487019real_c] :
      ( ( ( ~ ( member1321351885real_c @ SV448 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) ) )
        = $false )
      | ( ( member1321351885real_c @ SV693 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) )
        = $false )
      | ( ( ( SV448 @ ( sK66_SY2432 @ SV875 @ SV693 @ SV448 @ SV143 ) )
          = ( SV693 @ ( sK66_SY2432 @ SV875 @ SV693 @ SV448 @ SV143 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5102]) ).

thf(5267,plain,
    ! [SV448: real > finite1398487019real_c,SV875: real > set_Fi1407883041real_c,SV143: set_real,SV693: real > finite1398487019real_c] :
      ( ( ( ~ ( member1321351885real_c @ SV693 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) ) )
        = $false )
      | ( ( member1321351885real_c @ SV693 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) )
        = $false )
      | ( ( ( SV448 @ ( sK66_SY2432 @ SV875 @ SV693 @ SV448 @ SV143 ) )
          = ( SV693 @ ( sK66_SY2432 @ SV875 @ SV693 @ SV448 @ SV143 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5102]) ).

thf(5268,plain,
    ! [SV699: set_Sum_sum_c_d,SV150: c > sum_sum_c_d,SV454: set_c,SV1017: c] :
      ( ( ( ~ ( member_c @ SV1017 @ SV454 )
          | ( member_Sum_sum_c_d @ ( SV150 @ SV1017 ) @ SV699 ) )
        = $true )
      | ( ( member_c @ ( sK78_SY2440 @ SV699 @ SV150 @ SV454 ) @ SV454 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[5105]) ).

thf(5269,plain,
    ! [SV699: set_Sum_sum_c_d,SV150: c > sum_sum_c_d,SV454: set_c,SV1010: c] :
      ( ( ( ~ ( member_c @ SV1010 @ SV454 ) )
        = $true )
      | ( ( member_Sum_sum_c_d @ ( SV150 @ SV1010 ) @ SV699 )
        = $true )
      | ( ( member_Sum_sum_c_d @ ( SV150 @ ( sK78_SY2440 @ SV699 @ SV150 @ SV454 ) ) @ SV699 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5106]) ).

thf(5270,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
         != ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5107]) ).

thf(5271,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ~ ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
                    | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
                | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
                    | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5107]) ).

thf(5272,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( ~ ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
               != ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
              | ~ ~ ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
                        | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
                    | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
                        | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5108]) ).

thf(5273,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) ) )
        = $true )
      | ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          = ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5109]) ).

thf(5274,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) ) )
        = $false )
      | ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          = ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5111]) ).

thf(5275,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
              | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) )
        = $false )
      | ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          = ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5111]) ).

thf(5276,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
          | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( ~ ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
               != ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
              | ~ ~ ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
                        | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
                    | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
                        | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5112]) ).

thf(5277,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( ~ ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
               != ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
              | ~ ~ ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
                        | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
                    | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
                        | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5113]) ).

thf(5278,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( ~ ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
               != ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
              | ~ ~ ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
                        | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
                    | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
                        | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5113]) ).

thf(5279,plain,
    ! [SV706: set_Sum_sum_c_c,SV161: c > sum_sum_c_c,SV465: set_c,SV1018: c] :
      ( ( ( ~ ( member_c @ SV1018 @ SV465 )
          | ( member_Sum_sum_c_c @ ( SV161 @ SV1018 ) @ SV706 ) )
        = $true )
      | ( ( member_c @ ( sK79_SY2448 @ SV706 @ SV161 @ SV465 ) @ SV465 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[5116]) ).

thf(5280,plain,
    ! [SV706: set_Sum_sum_c_c,SV161: c > sum_sum_c_c,SV465: set_c,SV1011: c] :
      ( ( ( ~ ( member_c @ SV1011 @ SV465 ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( SV161 @ SV1011 ) @ SV706 )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( SV161 @ ( sK79_SY2448 @ SV706 @ SV161 @ SV465 ) ) @ SV706 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5117]) ).

thf(5281,plain,
    ! [SV883: real,SV467: real,SV708: real,SV163: real] :
      ( ( ( SV163 != SV708 )
        = $false )
      | ( ( ~ ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 )
              | ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) ) )
        = $true )
      | ( ( ( set_or656347191t_real @ SV163 @ SV467 )
          = ( set_or656347191t_real @ SV708 @ SV883 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5118]) ).

thf(5282,plain,
    ! [SV708: real,SV163: real,SV883: real,SV467: real] :
      ( ( ( SV467 != SV883 )
        = $false )
      | ( ( ~ ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 )
              | ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) ) )
        = $true )
      | ( ( ( set_or656347191t_real @ SV163 @ SV467 )
          = ( set_or656347191t_real @ SV708 @ SV883 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5118]) ).

thf(5283,plain,
    ! [SV883: real,SV708: real,SV467: real,SV163: real] :
      ( ( ( ( ( set_or656347191t_real @ SV163 @ SV467 )
           != ( set_or656347191t_real @ SV708 @ SV883 ) )
          | ~ ( ~ ( ( SV163 != SV708 )
                  | ( SV467 != SV883 ) )
              | ~ ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 )
                  | ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) ) ) )
        = $false )
      | ( ( SV163 = SV708 )
        = $false )
      | ( ( SV467 = SV883 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5119]) ).

thf(5284,plain,
    ! [SV467: real,SV163: real,SV883: real,SV708: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV708 @ SV883 ) )
        = $false )
      | ( ( ord_less_eq_real @ SV163 @ SV467 )
        = $true )
      | ( ( ~ ( ( ( set_or656347191t_real @ SV163 @ SV467 )
               != ( set_or656347191t_real @ SV708 @ SV883 ) )
              | ~ ( ~ ( ( SV163 != SV708 )
                      | ( SV467 != SV883 ) )
                  | ~ ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 )
                      | ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5120]) ).

thf(5285,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c] :
      ( ( ( ~ ! [SY2673: c] :
                ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2673 ) @ SV962 )
                | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2673 )
                  = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2673 ) ) )
          | ~ ! [SY2674: c] :
                ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
                | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                  = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) )
        = $false )
      | ( ( denota1997846518gree_c @ SV481 @ SV886 @ SV962 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5122]) ).

thf(5286,plain,
    ! [SV962: set_Sum_sum_c_c,SV481: produc190496183real_c,SV886: produc190496183real_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
          | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) )
            = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) ) )
        = $false )
      | ( ( ~ ! [SY2674: c] :
                ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
                | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                  = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( denota1997846518gree_c @ SV481 @ SV886 @ SV962 )
              | ~ ~ ( ~ ! [SY2673: c] :
                          ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2673 ) @ SV962 )
                          | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2673 )
                            = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2673 ) ) )
                    | ~ ! [SY2674: c] :
                          ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
                          | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                            = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[5123]) ).

thf(5287,plain,
    ! [SV887: finite1398487019real_c,SV487: finite1398487019real_c,SV724: finite1398487019real_c,SV184: finite1398487019real_c] :
      ( ( ( SV184 = SV724 )
        = $true )
      | ( ( ( produc394644079real_c @ SV184 @ SV487 )
          = ( produc394644079real_c @ SV724 @ SV887 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5124]) ).

thf(5288,plain,
    ! [SV724: finite1398487019real_c,SV184: finite1398487019real_c,SV887: finite1398487019real_c,SV487: finite1398487019real_c] :
      ( ( ( SV487 = SV887 )
        = $true )
      | ( ( ( produc394644079real_c @ SV184 @ SV487 )
          = ( produc394644079real_c @ SV724 @ SV887 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5125]) ).

thf(5289,plain,
    ! [SV887: finite1398487019real_c,SV724: finite1398487019real_c,SV487: finite1398487019real_c,SV184: finite1398487019real_c] :
      ( ( ( ( produc394644079real_c @ SV184 @ SV487 )
         != ( produc394644079real_c @ SV724 @ SV887 ) )
        = $false )
      | ( ( SV184 = SV724 )
        = $false )
      | ( ( SV487 = SV887 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5126]) ).

thf(5290,plain,
    ! [SV887: finite1398487019real_c,SV487: finite1398487019real_c,SV724: finite1398487019real_c,SV184: finite1398487019real_c] :
      ( ( ( ~ ~ ( ( SV184 != SV724 )
                | ( SV487 != SV887 ) ) )
        = $false )
      | ( ( SV184 = SV724 )
        = $false )
      | ( ( SV487 = SV887 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5126]) ).

thf(5291,plain,
    ! [SV889: set_Sum_sum_c_c,SV494: set_Sum_sum_c_c,SV997: sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ SV997 @ SV494 )
        = $false )
      | ( ( member_Sum_sum_c_c @ SV997 @ SV889 )
        = $true )
      | ( ( ord_le1772180283um_c_c @ SV494 @ SV889 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5127]) ).

thf(5292,plain,
    ! [SV889: set_Sum_sum_c_c,SV494: set_Sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ SV494 @ SV889 )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sK86_SY2635 @ SV889 @ SV494 ) @ SV494 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5128]) ).

thf(5293,plain,
    ! [SV889: set_Sum_sum_c_c,SV494: set_Sum_sum_c_c] :
      ( ( ( ! [SY2635: sum_sum_c_c] :
              ( ~ ( member_Sum_sum_c_c @ SY2635 @ SV494 )
              | ( member_Sum_sum_c_c @ SY2635 @ SV889 ) ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sK86_SY2635 @ SV889 @ SV494 ) @ SV494 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5129]) ).

thf(5294,plain,
    ! [SV889: set_Sum_sum_c_c,SV494: set_Sum_sum_c_c,SV1019: sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ SV1019 @ SV494 )
          | ( member_Sum_sum_c_c @ SV1019 @ SV889 ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sK86_SY2635 @ SV889 @ SV494 ) @ SV889 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[5131]) ).

thf(5295,plain,
    ! [SV892: set_Sum_sum_c_c,SV501: set_Sum_sum_c_c,SV998: sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ SV998 @ SV501 )
        = $false )
      | ( ( member_Sum_sum_c_c @ SV998 @ SV892 )
        = $true )
      | ( ( ord_le1772180283um_c_c @ SV501 @ SV892 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5132]) ).

thf(5296,plain,
    ! [SV892: set_Sum_sum_c_c,SV501: set_Sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ SV501 @ SV892 )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sK87_SY2636 @ SV892 @ SV501 ) @ SV501 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5133]) ).

thf(5297,plain,
    ! [SV892: set_Sum_sum_c_c,SV501: set_Sum_sum_c_c] :
      ( ( ( ! [SY2636: sum_sum_c_c] :
              ( ~ ( member_Sum_sum_c_c @ SY2636 @ SV501 )
              | ( member_Sum_sum_c_c @ SY2636 @ SV892 ) ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sK87_SY2636 @ SV892 @ SV501 ) @ SV501 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5134]) ).

thf(5298,plain,
    ! [SV892: set_Sum_sum_c_c,SV501: set_Sum_sum_c_c,SV1020: sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ SV1020 @ SV501 )
          | ( member_Sum_sum_c_c @ SV1020 @ SV892 ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sK87_SY2636 @ SV892 @ SV501 ) @ SV892 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[5136]) ).

thf(5299,plain,
    ! [SV899: set_c,SV514: set_c,SV999: c] :
      ( ( ( member_c @ SV999 @ SV514 )
        = $false )
      | ( ( member_c @ SV999 @ SV899 )
        = $true )
      | ( ( ord_less_eq_set_c @ SV514 @ SV899 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5137]) ).

thf(5300,plain,
    ! [SV899: set_c,SV514: set_c] :
      ( ( ( ord_less_eq_set_c @ SV514 @ SV899 )
        = $true )
      | ( ( member_c @ ( sK88_SY2637 @ SV899 @ SV514 ) @ SV514 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5138]) ).

thf(5301,plain,
    ! [SV899: set_c,SV514: set_c] :
      ( ( ( ! [SY2637: c] :
              ( ~ ( member_c @ SY2637 @ SV514 )
              | ( member_c @ SY2637 @ SV899 ) ) )
        = $true )
      | ( ( member_c @ ( sK88_SY2637 @ SV899 @ SV514 ) @ SV514 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5139]) ).

thf(5302,plain,
    ! [SV899: set_c,SV514: set_c,SV1021: c] :
      ( ( ( ~ ( member_c @ SV1021 @ SV514 )
          | ( member_c @ SV1021 @ SV899 ) )
        = $true )
      | ( ( member_c @ ( sK88_SY2637 @ SV899 @ SV514 ) @ SV899 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[5141]) ).

thf(5303,plain,
    ! [SV745: real > finite1398487019real_c,SV515: real > finite1398487019real_c,SV212: real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ SV212 @ ( set_or1308937537real_c @ SV515 @ SV745 ) )
        = $true )
      | ( ( ord_le584953750real_c @ SV515 @ SV212 )
        = $false )
      | ( ( ord_le584953750real_c @ SV212 @ SV745 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5144]) ).

thf(5304,plain,
    ! [SV745: real > finite1398487019real_c,SV212: real > finite1398487019real_c,SV515: real > finite1398487019real_c] :
      ( ( ( ~ ( ~ ( ord_le584953750real_c @ SV515 @ SV212 )
              | ~ ( ord_le584953750real_c @ SV212 @ SV745 ) ) )
        = $true )
      | ( ( ord_le584953750real_c @ SV515 @ SV212 )
        = $false )
      | ( ( ord_le584953750real_c @ SV212 @ SV745 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5145]) ).

thf(5305,plain,
    ! [SV747: set_c,SV214: sum_sum_c_c,SV517: c > sum_sum_c_c] :
      ( ( ( ~ ( member_c @ ( sK100_SY2491 @ SV517 @ SV214 @ SV747 ) @ SV747 )
          | ( SV214
           != ( SV517 @ ( sK100_SY2491 @ SV517 @ SV214 @ SV747 ) ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ SV214 @ ( image_c_Sum_sum_c_c @ SV517 @ SV747 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5146]) ).

thf(5306,plain,
    ! [SV747: set_c,SV977: c,SV517: c > sum_sum_c_c,SV214: sum_sum_c_c] :
      ( ( ( SV214
          = ( SV517 @ SV977 ) )
        = $false )
      | ( ( member_c @ SV977 @ SV747 )
        = $false )
      | ( ( ~ ( ~ ( member_Sum_sum_c_c @ SV214 @ ( image_c_Sum_sum_c_c @ SV517 @ SV747 ) )
              | ~ ~ ! [SY2491: c] :
                      ~ ~ ( ~ ( member_c @ SY2491 @ SV747 )
                          | ( SV214
                           != ( SV517 @ SY2491 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5147]) ).

thf(5307,plain,
    ( ( ( member_c @ i2 @ ( static_FVO_a_c @ oDEa ) )
      = $true )
    | ( ( ( finite772340578real_c
          @ ( produc2010422875real_c
            @ ( denota161327353_a_b_c @ i @ oDEa
              @ ( produc394644079real_c
                @ ( finite557796307c_real
                  @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
                @ bb )
              @ ( finite557796307c_real
                @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ x ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
          @ i2 )
        = ( finite772340578real_c @ ab @ i2 ) )
      = $true )
    | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $true )
    | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ i2 ) @ ( image_c_Sum_sum_c_c @ sum_Inr_c_c @ ( denota540094197_a_b_c @ i @ oDEa ) ) )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5149]) ).

thf(5308,plain,
    ! [SV906: real,SV530: real,SV760: real,SV227: real] :
      ( ( ( ord_less_eq_real @ SV227 @ SV760 )
        = $true )
      | ( ( ord_le1342644953l_real @ ( produc705216881l_real @ SV227 @ SV530 ) @ ( produc705216881l_real @ SV760 @ SV906 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5150]) ).

thf(5309,plain,
    ! [SV760: real,SV227: real,SV906: real,SV530: real] :
      ( ( ( ord_less_eq_real @ SV530 @ SV906 )
        = $true )
      | ( ( ord_le1342644953l_real @ ( produc705216881l_real @ SV227 @ SV530 ) @ ( produc705216881l_real @ SV760 @ SV906 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5151]) ).

thf(5310,plain,
    ! [SV906: real,SV760: real,SV530: real,SV227: real] :
      ( ( ( ~ ( ord_le1342644953l_real @ ( produc705216881l_real @ SV227 @ SV530 ) @ ( produc705216881l_real @ SV760 @ SV906 ) ) )
        = $false )
      | ( ( ord_less_eq_real @ SV227 @ SV760 )
        = $false )
      | ( ( ord_less_eq_real @ SV530 @ SV906 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5152]) ).

thf(5311,plain,
    ! [SV906: real,SV530: real,SV760: real,SV227: real] :
      ( ( ( ~ ~ ( ~ ( ord_less_eq_real @ SV227 @ SV760 )
                | ~ ( ord_less_eq_real @ SV530 @ SV906 ) ) )
        = $false )
      | ( ( ord_less_eq_real @ SV227 @ SV760 )
        = $false )
      | ( ( ord_less_eq_real @ SV530 @ SV906 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5152]) ).

thf(5312,plain,
    ! [SV908: set_Sum_sum_c_d,SV534: set_Sum_sum_c_d,SV1000: sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ SV1000 @ SV534 )
        = $false )
      | ( ( member_Sum_sum_c_d @ SV1000 @ SV908 )
        = $true )
      | ( ( ord_le764260924um_c_d @ SV534 @ SV908 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5153]) ).

thf(5313,plain,
    ! [SV908: set_Sum_sum_c_d,SV534: set_Sum_sum_c_d] :
      ( ( ( ord_le764260924um_c_d @ SV534 @ SV908 )
        = $true )
      | ( ( member_Sum_sum_c_d @ ( sK90_SY2639 @ SV908 @ SV534 ) @ SV534 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5154]) ).

thf(5314,plain,
    ! [SV908: set_Sum_sum_c_d,SV534: set_Sum_sum_c_d] :
      ( ( ( ! [SY2639: sum_sum_c_d] :
              ( ~ ( member_Sum_sum_c_d @ SY2639 @ SV534 )
              | ( member_Sum_sum_c_d @ SY2639 @ SV908 ) ) )
        = $true )
      | ( ( member_Sum_sum_c_d @ ( sK90_SY2639 @ SV908 @ SV534 ) @ SV534 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5155]) ).

thf(5315,plain,
    ! [SV908: set_Sum_sum_c_d,SV534: set_Sum_sum_c_d,SV1022: sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_d @ SV1022 @ SV534 )
          | ( member_Sum_sum_c_d @ SV1022 @ SV908 ) )
        = $true )
      | ( ( member_Sum_sum_c_d @ ( sK90_SY2639 @ SV908 @ SV534 ) @ SV908 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[5157]) ).

thf(5316,plain,
    ! [SV909: set_c,SV536: set_c,SV1001: c] :
      ( ( ( member_c @ SV1001 @ SV536 )
        = $false )
      | ( ( member_c @ SV1001 @ SV909 )
        = $true )
      | ( ( ord_less_eq_set_c @ SV536 @ SV909 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5158]) ).

thf(5317,plain,
    ! [SV909: set_c,SV536: set_c] :
      ( ( ( ord_less_eq_set_c @ SV536 @ SV909 )
        = $true )
      | ( ( member_c @ ( sK91_SY2640 @ SV909 @ SV536 ) @ SV536 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5159]) ).

thf(5318,plain,
    ! [SV909: set_c,SV536: set_c] :
      ( ( ( ! [SY2640: c] :
              ( ~ ( member_c @ SY2640 @ SV536 )
              | ( member_c @ SY2640 @ SV909 ) ) )
        = $true )
      | ( ( member_c @ ( sK91_SY2640 @ SV909 @ SV536 ) @ SV536 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5160]) ).

thf(5319,plain,
    ! [SV909: set_c,SV536: set_c,SV1023: c] :
      ( ( ( ~ ( member_c @ SV1023 @ SV536 )
          | ( member_c @ SV1023 @ SV909 ) )
        = $true )
      | ( ( member_c @ ( sK91_SY2640 @ SV909 @ SV536 ) @ SV909 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[5162]) ).

thf(5320,plain,
    ! [SV538: set_c,SV767: sum_sum_c_c > $o,SV235: c > sum_sum_c_c,SV966: sum_sum_c_c] :
      ( ( ( ~ ~ ( ~ ( member_c @ ( sK103_SY2511 @ SV966 @ SV235 @ SV767 @ SV538 ) @ SV538 )
                | ~ ( SV767 @ ( SV235 @ ( sK103_SY2511 @ SV966 @ SV235 @ SV767 @ SV538 ) ) ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ SV966 @ ( image_c_Sum_sum_c_c @ SV235 @ SV538 ) )
        = $false )
      | ( ( SV767 @ SV966 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[5163]) ).

thf(5321,plain,
    ! [SV914: produc190496183real_c,SV548: produc190496183real_c] :
      ( ( ( ord_le775706699real_c @ ( produc2010422875real_c @ SV548 ) @ ( produc2010422875real_c @ SV914 ) )
        = $true )
      | ( ( ord_le850691415real_c @ SV548 @ SV914 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5164]) ).

thf(5322,plain,
    ! [SV914: produc190496183real_c,SV548: produc190496183real_c] :
      ( ( ( ord_le775706699real_c @ ( produc314122909real_c @ SV548 ) @ ( produc314122909real_c @ SV914 ) )
        = $true )
      | ( ( ord_le850691415real_c @ SV548 @ SV914 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5165]) ).

thf(5323,plain,
    ! [SV914: produc190496183real_c,SV548: produc190496183real_c] :
      ( ( ( ~ ( ord_le850691415real_c @ SV548 @ SV914 ) )
        = $false )
      | ( ( ord_le775706699real_c @ ( produc2010422875real_c @ SV548 ) @ ( produc2010422875real_c @ SV914 ) )
        = $false )
      | ( ( ord_le775706699real_c @ ( produc314122909real_c @ SV548 ) @ ( produc314122909real_c @ SV914 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5166]) ).

thf(5324,plain,
    ! [SV914: produc190496183real_c,SV548: produc190496183real_c] :
      ( ( ( ~ ~ ( ~ ( ord_le775706699real_c @ ( produc2010422875real_c @ SV548 ) @ ( produc2010422875real_c @ SV914 ) )
                | ~ ( ord_le775706699real_c @ ( produc314122909real_c @ SV548 ) @ ( produc314122909real_c @ SV914 ) ) ) )
        = $false )
      | ( ( ord_le775706699real_c @ ( produc2010422875real_c @ SV548 ) @ ( produc2010422875real_c @ SV914 ) )
        = $false )
      | ( ( ord_le775706699real_c @ ( produc314122909real_c @ SV548 ) @ ( produc314122909real_c @ SV914 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5166]) ).

thf(5325,plain,
    ! [SV553: c > $o,SV1012: c,SV250: c > $o] :
      ( ( ( ~ ( SV250 @ SV1012 ) )
        = $true )
      | ( ( SV553 @ SV1012 )
        = $true )
      | ( ( SV250 @ ( sK72_SY2211 @ SV553 @ SV250 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[5167]) ).

thf(5326,plain,
    ! [SV553: c > $o,SV1002: c,SV250: c > $o] :
      ( ( ( SV250 @ SV1002 )
        = $false )
      | ( ( SV553 @ SV1002 )
        = $true )
      | ( ( SV553 @ ( sK72_SY2211 @ SV553 @ SV250 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5168]) ).

thf(5327,plain,
    ( ( ( initia1631504802real_c @ sol
        @ ^ [SX0: real] : ( denota1275485728_a_b_c @ i @ oDEa )
        @ ( set_or656347191t_real @ zero_zero_real @ t )
        @ ( collec230941376real_c
          @ ^ [SX0: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ SX0 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) )
      = $false )
    | ( ( ~ ( denota256060419gree_c @ ( sol @ zero_zero_real ) @ ab
            @ ( collect_c
              @ ^ [SX0: c] :
                  ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_BVO_a_c @ oDEa ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( static_FVO_a_c @ oDEa ) ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_FVF_a_b_c @ phi ) ) ) ) )
        | ( ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) )
          = ( denota161327353_a_b_c @ i @ oDEa
            @ ( produc394644079real_c
              @ ( finite557796307c_real
                @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
              @ bb )
            @ ( finite557796307c_real
              @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ t ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) ) )
      = $true )
    | ( ( ( produc394644079real_c @ aa @ ba )
        = ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
      = $false )
    | ( ( ord_less_eq_real @ zero_zero_real @ t )
      = $false )
    | ( ( p = phi )
      = $false )
    | ( ( ode = oDEa )
      = $false )
    | ( ( fsafe_a_b_c @ phi )
      = $false )
    | ( ( osafe_a_c @ oDEa )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5169]) ).

thf(5328,plain,
    ( ( ( initia1631504802real_c @ sol
        @ ^ [SX0: real] : ( denota1275485728_a_b_c @ i @ oDEa )
        @ ( set_or656347191t_real @ zero_zero_real @ t )
        @ ( collec230941376real_c
          @ ^ [SX0: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ SX0 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) )
      = $false )
    | ( ( ~ ( denota256060419gree_c @ ( sol @ zero_zero_real ) @ ab
            @ ( collect_c
              @ ^ [SX0: c] :
                  ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_BVO_a_c @ oDEa ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( static_FVO_a_c @ oDEa ) ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_FVF_a_b_c @ phi ) ) ) ) )
        | ( ord_less_eq_real @ zero_zero_real @ t ) )
      = $true )
    | ( ( ( produc394644079real_c @ aa @ ba )
        = ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
      = $false )
    | ( ( ord_less_eq_real @ zero_zero_real @ t )
      = $false )
    | ( ( p = phi )
      = $false )
    | ( ( ode = oDEa )
      = $false )
    | ( ( fsafe_a_b_c @ phi )
      = $false )
    | ( ( osafe_a_c @ oDEa )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5170]) ).

thf(5329,plain,
    ! [SV925: real,SV576: real,SV271: real,SV797: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV797 @ SV271 )
          | ~ ( ord_less_eq_real @ SV576 @ SV925 ) )
        = $false )
      | ( ( ord_less_eq_real @ SV271 @ SV576 )
        = $false )
      | ( ( ord_less_eq_set_real @ ( set_or656347191t_real @ SV271 @ SV576 ) @ ( set_or656347191t_real @ SV797 @ SV925 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5171]) ).

thf(5330,plain,
    ! [SV925: real,SV797: real,SV576: real,SV271: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV271 @ SV576 ) )
        = $true )
      | ( ( ~ ( ~ ( ord_less_eq_real @ SV797 @ SV271 )
              | ~ ( ord_less_eq_real @ SV576 @ SV925 ) ) )
        = $true )
      | ( ( ord_less_eq_real @ SV271 @ SV576 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[5173]) ).

thf(5331,plain,
    ! [SV925: real,SV797: real,SV576: real,SV271: real] :
      ( ( ( ~ ( ord_less_eq_set_real @ ( set_or656347191t_real @ SV271 @ SV576 ) @ ( set_or656347191t_real @ SV797 @ SV925 ) )
          | ~ ( ~ ( ord_less_eq_real @ SV271 @ SV576 )
              | ~ ( ~ ( ord_less_eq_real @ SV797 @ SV271 )
                  | ~ ( ord_less_eq_real @ SV576 @ SV925 ) ) ) )
        = $false )
      | ( ( ord_less_eq_real @ SV797 @ SV271 )
        = $false )
      | ( ( ord_less_eq_real @ SV576 @ SV925 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5174]) ).

thf(5332,plain,
    ! [SV926: set_re2066790124real_c,SV577: set_re2066790124real_c,SV1003: real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ SV1003 @ SV577 )
        = $false )
      | ( ( member1321351885real_c @ SV1003 @ SV926 )
        = $true )
      | ( ( ord_le35002188real_c @ SV577 @ SV926 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5175]) ).

thf(5333,plain,
    ! [SV926: set_re2066790124real_c,SV577: set_re2066790124real_c] :
      ( ( ( ord_le35002188real_c @ SV577 @ SV926 )
        = $true )
      | ( ( member1321351885real_c @ ( sK92_SY2643 @ SV926 @ SV577 ) @ SV577 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5176]) ).

thf(5334,plain,
    ! [SV926: set_re2066790124real_c,SV577: set_re2066790124real_c] :
      ( ( ( ! [SY2643: real > finite1398487019real_c] :
              ( ~ ( member1321351885real_c @ SY2643 @ SV577 )
              | ( member1321351885real_c @ SY2643 @ SV926 ) ) )
        = $true )
      | ( ( member1321351885real_c @ ( sK92_SY2643 @ SV926 @ SV577 ) @ SV577 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5177]) ).

thf(5335,plain,
    ! [SV926: set_re2066790124real_c,SV577: set_re2066790124real_c,SV1024: real > finite1398487019real_c] :
      ( ( ( ~ ( member1321351885real_c @ SV1024 @ SV577 )
          | ( member1321351885real_c @ SV1024 @ SV926 ) )
        = $true )
      | ( ( member1321351885real_c @ ( sK92_SY2643 @ SV926 @ SV577 ) @ SV926 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[5179]) ).

thf(5336,plain,
    ! [SV927: set_Pr1389752855real_c,SV578: set_Pr1389752855real_c,SV1004: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV1004 @ SV578 )
        = $false )
      | ( ( member1895684704real_c @ SV1004 @ SV927 )
        = $true )
      | ( ( ord_le977353143real_c @ SV578 @ SV927 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5180]) ).

thf(5337,plain,
    ! [SV927: set_Pr1389752855real_c,SV578: set_Pr1389752855real_c] :
      ( ( ( ord_le977353143real_c @ SV578 @ SV927 )
        = $true )
      | ( ( member1895684704real_c @ ( sK93_SY2644 @ SV927 @ SV578 ) @ SV578 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5181]) ).

thf(5338,plain,
    ! [SV927: set_Pr1389752855real_c,SV578: set_Pr1389752855real_c] :
      ( ( ( ! [SY2644: produc190496183real_c] :
              ( ~ ( member1895684704real_c @ SY2644 @ SV578 )
              | ( member1895684704real_c @ SY2644 @ SV927 ) ) )
        = $true )
      | ( ( member1895684704real_c @ ( sK93_SY2644 @ SV927 @ SV578 ) @ SV578 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5182]) ).

thf(5339,plain,
    ! [SV927: set_Pr1389752855real_c,SV578: set_Pr1389752855real_c,SV1025: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV1025 @ SV578 )
          | ( member1895684704real_c @ SV1025 @ SV927 ) )
        = $true )
      | ( ( member1895684704real_c @ ( sK93_SY2644 @ SV927 @ SV578 ) @ SV927 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[5184]) ).

thf(5340,plain,
    ! [SV937: produc957004601l_real,SV606: produc957004601l_real] :
      ( ( ( ord_less_eq_real @ ( produc1422991709l_real @ SV606 ) @ ( produc1422991709l_real @ SV937 ) )
        = $true )
      | ( ( ord_le1342644953l_real @ SV606 @ SV937 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5185]) ).

thf(5341,plain,
    ! [SV937: produc957004601l_real,SV606: produc957004601l_real] :
      ( ( ( ord_less_eq_real @ ( produc1407670175l_real @ SV606 ) @ ( produc1407670175l_real @ SV937 ) )
        = $true )
      | ( ( ord_le1342644953l_real @ SV606 @ SV937 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5186]) ).

thf(5342,plain,
    ! [SV937: produc957004601l_real,SV606: produc957004601l_real] :
      ( ( ( ~ ( ord_le1342644953l_real @ SV606 @ SV937 ) )
        = $false )
      | ( ( ord_less_eq_real @ ( produc1422991709l_real @ SV606 ) @ ( produc1422991709l_real @ SV937 ) )
        = $false )
      | ( ( ord_less_eq_real @ ( produc1407670175l_real @ SV606 ) @ ( produc1407670175l_real @ SV937 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5187]) ).

thf(5343,plain,
    ! [SV937: produc957004601l_real,SV606: produc957004601l_real] :
      ( ( ( ~ ~ ( ~ ( ord_less_eq_real @ ( produc1422991709l_real @ SV606 ) @ ( produc1422991709l_real @ SV937 ) )
                | ~ ( ord_less_eq_real @ ( produc1407670175l_real @ SV606 ) @ ( produc1407670175l_real @ SV937 ) ) ) )
        = $false )
      | ( ( ord_less_eq_real @ ( produc1422991709l_real @ SV606 ) @ ( produc1422991709l_real @ SV937 ) )
        = $false )
      | ( ( ord_less_eq_real @ ( produc1407670175l_real @ SV606 ) @ ( produc1407670175l_real @ SV937 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5187]) ).

thf(5344,plain,
    ! [SV941: finite1398487019real_c,SV619: finite1398487019real_c,SV831: finite1398487019real_c,SV315: finite1398487019real_c] :
      ( ( ( ord_le775706699real_c @ SV315 @ SV831 )
        = $true )
      | ( ( ord_le850691415real_c @ ( produc394644079real_c @ SV315 @ SV619 ) @ ( produc394644079real_c @ SV831 @ SV941 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5188]) ).

thf(5345,plain,
    ! [SV831: finite1398487019real_c,SV315: finite1398487019real_c,SV941: finite1398487019real_c,SV619: finite1398487019real_c] :
      ( ( ( ord_le775706699real_c @ SV619 @ SV941 )
        = $true )
      | ( ( ord_le850691415real_c @ ( produc394644079real_c @ SV315 @ SV619 ) @ ( produc394644079real_c @ SV831 @ SV941 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5189]) ).

thf(5346,plain,
    ! [SV941: finite1398487019real_c,SV831: finite1398487019real_c,SV619: finite1398487019real_c,SV315: finite1398487019real_c] :
      ( ( ( ~ ( ord_le850691415real_c @ ( produc394644079real_c @ SV315 @ SV619 ) @ ( produc394644079real_c @ SV831 @ SV941 ) ) )
        = $false )
      | ( ( ord_le775706699real_c @ SV315 @ SV831 )
        = $false )
      | ( ( ord_le775706699real_c @ SV619 @ SV941 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5190]) ).

thf(5347,plain,
    ! [SV941: finite1398487019real_c,SV619: finite1398487019real_c,SV831: finite1398487019real_c,SV315: finite1398487019real_c] :
      ( ( ( ~ ~ ( ~ ( ord_le775706699real_c @ SV315 @ SV831 )
                | ~ ( ord_le775706699real_c @ SV619 @ SV941 ) ) )
        = $false )
      | ( ( ord_le775706699real_c @ SV315 @ SV831 )
        = $false )
      | ( ( ord_le775706699real_c @ SV619 @ SV941 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5190]) ).

thf(5348,plain,
    ! [SV832: real > set_Fi1407883041real_c,SV316: real > finite1398487019real_c,SV620: set_real,SV1026: real] :
      ( ( ( ~ ( member_real @ SV1026 @ SV620 )
          | ( member1261661570real_c @ ( SV316 @ SV1026 ) @ ( SV832 @ SV1026 ) ) )
        = $true )
      | ( ( member_real @ ( sK81_SY2577 @ SV832 @ SV316 @ SV620 ) @ SV620 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[5193]) ).

thf(5349,plain,
    ! [SV832: real > set_Fi1407883041real_c,SV316: real > finite1398487019real_c,SV620: set_real,SV1013: real] :
      ( ( ( ~ ( member_real @ SV1013 @ SV620 ) )
        = $true )
      | ( ( member1261661570real_c @ ( SV316 @ SV1013 ) @ ( SV832 @ SV1013 ) )
        = $true )
      | ( ( member1261661570real_c @ ( SV316 @ ( sK81_SY2577 @ SV832 @ SV316 @ SV620 ) ) @ ( SV832 @ ( sK81_SY2577 @ SV832 @ SV316 @ SV620 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5194]) ).

thf(5350,plain,
    ! [SV944: produc190496183real_c,SV627: produc190496183real_c] :
      ( ( ( ( produc2010422875real_c @ SV627 )
          = ( produc2010422875real_c @ SV944 ) )
        = $true )
      | ( ( SV627 = SV944 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5195]) ).

thf(5351,plain,
    ! [SV944: produc190496183real_c,SV627: produc190496183real_c] :
      ( ( ( ( produc314122909real_c @ SV627 )
          = ( produc314122909real_c @ SV944 ) )
        = $true )
      | ( ( SV627 = SV944 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5196]) ).

thf(5352,plain,
    ! [SV944: produc190496183real_c,SV627: produc190496183real_c] :
      ( ( ( SV627 != SV944 )
        = $false )
      | ( ( ( produc2010422875real_c @ SV627 )
          = ( produc2010422875real_c @ SV944 ) )
        = $false )
      | ( ( ( produc314122909real_c @ SV627 )
          = ( produc314122909real_c @ SV944 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5197]) ).

thf(5353,plain,
    ! [SV944: produc190496183real_c,SV627: produc190496183real_c] :
      ( ( ( ~ ~ ( ( ( produc2010422875real_c @ SV627 )
                 != ( produc2010422875real_c @ SV944 ) )
                | ( ( produc314122909real_c @ SV627 )
                 != ( produc314122909real_c @ SV944 ) ) ) )
        = $false )
      | ( ( ( produc2010422875real_c @ SV627 )
          = ( produc2010422875real_c @ SV944 ) )
        = $false )
      | ( ( ( produc314122909real_c @ SV627 )
          = ( produc314122909real_c @ SV944 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5197]) ).

thf(5354,plain,
    ! [SV945: set_Pr1389752855real_c,SV628: set_Pr1389752855real_c,SV1005: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV1005 @ SV628 )
        = $false )
      | ( ( member1895684704real_c @ SV1005 @ SV945 )
        = $true )
      | ( ( ord_le977353143real_c @ SV628 @ SV945 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5198]) ).

thf(5355,plain,
    ! [SV945: set_Pr1389752855real_c,SV628: set_Pr1389752855real_c] :
      ( ( ( ord_le977353143real_c @ SV628 @ SV945 )
        = $true )
      | ( ( member1895684704real_c @ ( sK95_SY2647 @ SV945 @ SV628 ) @ SV628 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5199]) ).

thf(5356,plain,
    ! [SV945: set_Pr1389752855real_c,SV628: set_Pr1389752855real_c] :
      ( ( ( ! [SY2647: produc190496183real_c] :
              ( ~ ( member1895684704real_c @ SY2647 @ SV628 )
              | ( member1895684704real_c @ SY2647 @ SV945 ) ) )
        = $true )
      | ( ( member1895684704real_c @ ( sK95_SY2647 @ SV945 @ SV628 ) @ SV628 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5200]) ).

thf(5357,plain,
    ! [SV945: set_Pr1389752855real_c,SV628: set_Pr1389752855real_c,SV1027: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV1027 @ SV628 )
          | ( member1895684704real_c @ SV1027 @ SV945 ) )
        = $true )
      | ( ( member1895684704real_c @ ( sK95_SY2647 @ SV945 @ SV628 ) @ SV945 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[5202]) ).

thf(5358,plain,
    ! [SV842: set_c,SV327: set_Sum_sum_c_c,SV631: c > sum_sum_c_c] :
      ( ( ( ~ ( ord_less_eq_set_c @ ( sK101_SY2581 @ SV631 @ SV327 @ SV842 ) @ SV842 )
          | ( SV327
           != ( image_c_Sum_sum_c_c @ SV631 @ ( sK101_SY2581 @ SV631 @ SV327 @ SV842 ) ) ) )
        = $false )
      | ( ( ord_le1772180283um_c_c @ SV327 @ ( image_c_Sum_sum_c_c @ SV631 @ SV842 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5203]) ).

thf(5359,plain,
    ! [SV842: set_c,SV979: set_c,SV631: c > sum_sum_c_c,SV327: set_Sum_sum_c_c] :
      ( ( ( SV327
          = ( image_c_Sum_sum_c_c @ SV631 @ SV979 ) )
        = $false )
      | ( ( ord_less_eq_set_c @ SV979 @ SV842 )
        = $false )
      | ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV327 @ ( image_c_Sum_sum_c_c @ SV631 @ SV842 ) )
              | ~ ~ ! [SY2581: set_c] :
                      ~ ~ ( ~ ( ord_less_eq_set_c @ SY2581 @ SV842 )
                          | ( SV327
                           != ( image_c_Sum_sum_c_c @ SV631 @ SY2581 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5204]) ).

thf(5360,plain,
    ! [SV633: set_c,SV844: sum_sum_c_d > $o,SV329: c > sum_sum_c_d,SV968: sum_sum_c_d] :
      ( ( ( ~ ~ ( ~ ( member_c @ ( sK104_SY2585 @ SV968 @ SV329 @ SV844 @ SV633 ) @ SV633 )
                | ~ ( SV844 @ ( SV329 @ ( sK104_SY2585 @ SV968 @ SV329 @ SV844 @ SV633 ) ) ) ) )
        = $false )
      | ( ( member_Sum_sum_c_d @ SV968 @ ( image_c_Sum_sum_c_d @ SV329 @ SV633 ) )
        = $false )
      | ( ( SV844 @ SV968 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[5205]) ).

thf(5361,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $false )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
              | ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ ( equiv_a_b_c @ SV645 @ SV855 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5206]) ).

thf(5362,plain,
    ! [SV645: formula_a_b_c,SV855: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $false )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
              | ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ ( equiv_a_b_c @ SV645 @ SV855 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5206]) ).

thf(5363,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ ( equiv_a_b_c @ SV645 @ SV855 ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5207]) ).

thf(5364,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
          = ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5208]) ).

thf(5365,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ ( equiv_a_b_c @ SV645 @ SV855 ) ) )
          | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
           != ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5209]) ).

thf(5366,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
          | ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
        = $false )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
              | ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) ) )
        = $true )
      | ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
          = ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5210]) ).

thf(5367,plain,
    ! [SV98: $o] :
      ( ( ( ~ SV98 ) = $false )
      | ( SV98 = $false )
      | ( SV98 = $false )
      | ( SV98 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5211]) ).

thf(5368,plain,
    ! [SV98: $o] :
      ( ( ( ~ $false ) = $false )
      | ( SV98 = $false )
      | ( SV98 = $false )
      | ( SV98 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5211]) ).

thf(5369,plain,
    ! [SV98: $o] :
      ( ( ( ~ SV98 ) = $false )
      | ( $false = $false )
      | ( SV98 = $false )
      | ( SV98 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5212]) ).

thf(5370,plain,
    ! [SV98: $o] :
      ( ( ( ~ $false ) = $false )
      | ( $false = $false )
      | ( SV98 = $false )
      | ( SV98 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5212]) ).

thf(5371,plain,
    ! [SV98: $o] :
      ( ( ( ~ SV98 ) = $false )
      | ( SV98 = $false )
      | ( SV98 = $false )
      | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5213]) ).

thf(5372,plain,
    ! [SV98: $o] :
      ( ( ( ~ $false ) = $false )
      | ( SV98 = $false )
      | ( SV98 = $false )
      | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5213]) ).

thf(5373,plain,
    ! [SV98: $o] :
      ( ( ( ~ SV98 ) = $false )
      | ( $false = $false )
      | ( SV98 = $false )
      | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5214]) ).

thf(5374,plain,
    ! [SV98: $o] :
      ( ( ( ~ $false ) = $false )
      | ( $false = $false )
      | ( SV98 = $false )
      | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5214]) ).

thf(5375,plain,
    ! [SV98: $o] :
      ( ( ( ~ SV98 ) = $false )
      | ( SV98 = $false )
      | ( $true = $false )
      | ( SV98 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5215]) ).

thf(5376,plain,
    ! [SV98: $o] :
      ( ( ( ~ $false ) = $false )
      | ( SV98 = $false )
      | ( $true = $false )
      | ( SV98 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5215]) ).

thf(5377,plain,
    ! [SV98: $o] :
      ( ( ( ~ SV98 ) = $false )
      | ( $false = $false )
      | ( $true = $false )
      | ( SV98 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5216]) ).

thf(5378,plain,
    ! [SV98: $o] :
      ( ( ( ~ $false ) = $false )
      | ( $false = $false )
      | ( $true = $false )
      | ( SV98 = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5216]) ).

thf(5379,plain,
    ! [SV98: $o] :
      ( ( ( ~ SV98 ) = $false )
      | ( SV98 = $false )
      | ( $true = $false )
      | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5217]) ).

thf(5380,plain,
    ! [SV98: $o] :
      ( ( ( ~ $false ) = $false )
      | ( SV98 = $false )
      | ( $true = $false )
      | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5217]) ).

thf(5381,plain,
    ! [SV98: $o] :
      ( ( ( ~ SV98 ) = $false )
      | ( $false = $false )
      | ( $true = $false )
      | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5218]) ).

thf(5382,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5218]) ).

thf(5383,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5219]) ).

thf(5384,plain,
    ( ( ( ~ $false ) = $false )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5219]) ).

thf(5385,plain,
    ( ( ( ~ $true ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5220]) ).

thf(5386,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5220]) ).

thf(5387,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5221]) ).

thf(5388,plain,
    ( ( ( ~ $false ) = $false )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5221]) ).

thf(5389,plain,
    ( ( ( ~ $true ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5222]) ).

thf(5390,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5222]) ).

thf(5391,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5223]) ).

thf(5392,plain,
    ( ( ( ~ $false ) = $false )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5223]) ).

thf(5393,plain,
    ( ( ( ~ $true ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5224]) ).

thf(5394,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5224]) ).

thf(5395,plain,
    ( ( ( ~ $true ) = $false )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5225]) ).

thf(5396,plain,
    ( ( ( ~ $false ) = $false )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5225]) ).

thf(5397,plain,
    ( ( ( ~ $true ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5226]) ).

thf(5398,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5226]) ).

thf(5399,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5227]) ).

thf(5400,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5227]) ).

thf(5401,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5228]) ).

thf(5402,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5228]) ).

thf(5403,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5229]) ).

thf(5404,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5229]) ).

thf(5405,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5230]) ).

thf(5406,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5230]) ).

thf(5407,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5231]) ).

thf(5408,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5231]) ).

thf(5409,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5232]) ).

thf(5410,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5232]) ).

thf(5411,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5233]) ).

thf(5412,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5233]) ).

thf(5413,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5234]) ).

thf(5414,plain,
    ( ( ( ~ $false ) = $false )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5234]) ).

thf(5415,plain,
    ! [SV865: finite1398487019real_c,SV666: finite1398487019real_c,SV412: finite1398487019real_c,SV107: finite1398487019real_c] :
      ( ( ( ( produc394644079real_c @ SV107 @ SV412 )
          = ( produc394644079real_c @ SV666 @ SV865 ) )
        = $true )
      | ( ( SV107 = SV666 )
        = $false )
      | ( ( SV412 = SV865 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5237]) ).

thf(5416,plain,
    ! [SV865: finite1398487019real_c,SV412: finite1398487019real_c,SV666: finite1398487019real_c,SV107: finite1398487019real_c] :
      ( ( ( ~ ( ( SV107 != SV666 )
              | ( SV412 != SV865 ) ) )
        = $true )
      | ( ( SV107 = SV666 )
        = $false )
      | ( ( SV412 = SV865 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5238]) ).

thf(5417,plain,
    ! [SV668: set_c,SV109: set_Sum_sum_c_d,SV414: c > sum_sum_c_d] :
      ( ( ( ~ ( ord_less_eq_set_c @ ( sK98_SY2402 @ SV414 @ SV109 @ SV668 ) @ SV668 ) )
        = $false )
      | ( ( ord_le764260924um_c_d @ SV109 @ ( image_c_Sum_sum_c_d @ SV414 @ SV668 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5239]) ).

thf(5418,plain,
    ! [SV668: set_c,SV414: c > sum_sum_c_d,SV109: set_Sum_sum_c_d] :
      ( ( ( SV109
         != ( image_c_Sum_sum_c_d @ SV414 @ ( sK98_SY2402 @ SV414 @ SV109 @ SV668 ) ) )
        = $false )
      | ( ( ord_le764260924um_c_d @ SV109 @ ( image_c_Sum_sum_c_d @ SV414 @ SV668 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5239]) ).

thf(5419,plain,
    ! [SV973: set_c,SV668: set_c,SV414: c > sum_sum_c_d,SV109: set_Sum_sum_c_d] :
      ( ( ( ~ ( ord_le764260924um_c_d @ SV109 @ ( image_c_Sum_sum_c_d @ SV414 @ SV668 ) )
          | ~ ~ ! [SY2402: set_c] :
                  ~ ~ ( ~ ( ord_less_eq_set_c @ SY2402 @ SV668 )
                      | ( SV109
                       != ( image_c_Sum_sum_c_d @ SV414 @ SY2402 ) ) ) )
        = $false )
      | ( ( ord_less_eq_set_c @ SV973 @ SV668 )
        = $false )
      | ( ( SV109
          = ( image_c_Sum_sum_c_d @ SV414 @ SV973 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5240]) ).

thf(5420,plain,
    ( ( ( ~ ( denota256060419gree_c @ ( sol @ zero_zero_real ) @ ab
            @ ( collect_c
              @ ^ [SX0: c] :
                  ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_BVO_a_c @ oDEa ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( static_FVO_a_c @ oDEa ) ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_FVF_a_b_c @ phi ) ) ) ) ) )
      = $true )
    | ( ( ab
        = ( finite557796307c_real
          @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) )
      = $true )
    | ( ( initia1631504802real_c @ sol
        @ ^ [SX0: real] : ( denota1275485728_a_b_c @ i @ oDEa )
        @ ( set_or656347191t_real @ zero_zero_real @ t )
        @ ( collec230941376real_c
          @ ^ [SX0: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ SX0 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) )
      = $false )
    | ( ( ( produc394644079real_c @ aa @ ba )
        = ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
      = $false )
    | ( ( ord_less_eq_real @ zero_zero_real @ t )
      = $false )
    | ( ( p = phi )
      = $false )
    | ( ( ode = oDEa )
      = $false )
    | ( ( fsafe_a_b_c @ phi )
      = $false )
    | ( ( osafe_a_c @ oDEa )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5241]) ).

thf(5421,plain,
    ! [SV670: produc190496183real_c,SV112: produc190496183real_c,SV417: produc190496183real_c] :
      ( ( ( ~ ( ord_le850691415real_c @ SV417 @ SV112 )
          | ~ ( ord_le850691415real_c @ SV112 @ SV670 ) )
        = $false )
      | ( ( ord_le850691415real_c @ SV417 @ SV112 )
        = $false )
      | ( ( ord_le850691415real_c @ SV112 @ SV670 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5243]) ).

thf(5422,plain,
    ! [SV672: set_c,SV115: sum_sum_c_d,SV420: c > sum_sum_c_d] :
      ( ( ( ~ ( member_c @ ( sK99_SY2406 @ SV420 @ SV115 @ SV672 ) @ SV672 ) )
        = $false )
      | ( ( member_Sum_sum_c_d @ SV115 @ ( image_c_Sum_sum_c_d @ SV420 @ SV672 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5244]) ).

thf(5423,plain,
    ! [SV672: set_c,SV420: c > sum_sum_c_d,SV115: sum_sum_c_d] :
      ( ( ( SV115
         != ( SV420 @ ( sK99_SY2406 @ SV420 @ SV115 @ SV672 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_d @ SV115 @ ( image_c_Sum_sum_c_d @ SV420 @ SV672 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5244]) ).

thf(5424,plain,
    ! [SV974: c,SV672: set_c,SV420: c > sum_sum_c_d,SV115: sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_d @ SV115 @ ( image_c_Sum_sum_c_d @ SV420 @ SV672 ) )
          | ~ ~ ! [SY2406: c] :
                  ~ ~ ( ~ ( member_c @ SY2406 @ SV672 )
                      | ( SV115
                       != ( SV420 @ SY2406 ) ) ) )
        = $false )
      | ( ( member_c @ SV974 @ SV672 )
        = $false )
      | ( ( SV115
          = ( SV420 @ SV974 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5245]) ).

thf(5425,plain,
    ! [SV674: real,SV117: real,SV422: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV422 @ SV117 )
          | ~ ( ord_less_eq_real @ SV117 @ SV674 ) )
        = $false )
      | ( ( ord_less_eq_real @ SV422 @ SV117 )
        = $false )
      | ( ( ord_less_eq_real @ SV117 @ SV674 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5247]) ).

thf(5426,plain,
    ! [SV868: finite1398487019real_c,SV424: finite1398487019real_c,SV961: set_c,SV1014: c] :
      ( ( ( ~ ( member_c @ SV1014 @ SV961 ) )
        = $true )
      | ( ( ( finite772340578real_c @ SV424 @ SV1014 )
          = ( finite772340578real_c @ SV868 @ SV1014 ) )
        = $true )
      | ( ( denota256060419gree_c @ SV424 @ SV868 @ SV961 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5248]) ).

thf(5427,plain,
    ! [SV961: set_c,SV868: finite1398487019real_c,SV424: finite1398487019real_c] :
      ( ( ( ~ ( denota256060419gree_c @ SV424 @ SV868 @ SV961 ) )
        = $false )
      | ( ( member_c @ ( sK97_SY2672 @ SV868 @ SV424 @ SV961 ) @ SV961 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5249]) ).

thf(5428,plain,
    ! [SV868: finite1398487019real_c,SV424: finite1398487019real_c,SV961: set_c] :
      ( ( ( ~ ! [SY2672: c] :
                ( ~ ( member_c @ SY2672 @ SV961 )
                | ( ( finite772340578real_c @ SV424 @ SY2672 )
                  = ( finite772340578real_c @ SV868 @ SY2672 ) ) ) )
        = $false )
      | ( ( member_c @ ( sK97_SY2672 @ SV868 @ SV424 @ SV961 ) @ SV961 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5249]) ).

thf(5429,plain,
    ! [SV961: set_c,SV868: finite1398487019real_c,SV424: finite1398487019real_c] :
      ( ( ( denota256060419gree_c @ SV424 @ SV868 @ SV961 )
        = $true )
      | ( ( ( finite772340578real_c @ SV424 @ ( sK97_SY2672 @ SV868 @ SV424 @ SV961 ) )
          = ( finite772340578real_c @ SV868 @ ( sK97_SY2672 @ SV868 @ SV424 @ SV961 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5250]) ).

thf(5430,plain,
    ! [SV868: finite1398487019real_c,SV424: finite1398487019real_c,SV961: set_c] :
      ( ( ( ! [SY2672: c] :
              ( ~ ( member_c @ SY2672 @ SV961 )
              | ( ( finite772340578real_c @ SV424 @ SY2672 )
                = ( finite772340578real_c @ SV868 @ SY2672 ) ) ) )
        = $true )
      | ( ( ( finite772340578real_c @ SV424 @ ( sK97_SY2672 @ SV868 @ SV424 @ SV961 ) )
          = ( finite772340578real_c @ SV868 @ ( sK97_SY2672 @ SV868 @ SV424 @ SV961 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5251]) ).

thf(5431,plain,
    ! [SV869: set_Sum_sum_c_d,SV430: set_Sum_sum_c_d,SV1028: sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_d @ SV1028 @ SV430 )
          | ( member_Sum_sum_c_d @ SV1028 @ SV869 ) )
        = $true )
      | ( ( member_Sum_sum_c_d @ ( sK84_SY2624 @ SV869 @ SV430 ) @ SV430 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[5254]) ).

thf(5432,plain,
    ! [SV869: set_Sum_sum_c_d,SV430: set_Sum_sum_c_d,SV1015: sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_d @ SV1015 @ SV430 ) )
        = $true )
      | ( ( member_Sum_sum_c_d @ SV1015 @ SV869 )
        = $true )
      | ( ( member_Sum_sum_c_d @ ( sK84_SY2624 @ SV869 @ SV430 ) @ SV869 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5255]) ).

thf(5433,plain,
    ! [SV871: set_re2066790124real_c,SV437: set_re2066790124real_c,SV1029: real > finite1398487019real_c] :
      ( ( ( ~ ( member1321351885real_c @ SV1029 @ SV437 )
          | ( member1321351885real_c @ SV1029 @ SV871 ) )
        = $true )
      | ( ( member1321351885real_c @ ( sK85_SY2625 @ SV871 @ SV437 ) @ SV437 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[5258]) ).

thf(5434,plain,
    ! [SV871: set_re2066790124real_c,SV437: set_re2066790124real_c,SV1016: real > finite1398487019real_c] :
      ( ( ( ~ ( member1321351885real_c @ SV1016 @ SV437 ) )
        = $true )
      | ( ( member1321351885real_c @ SV1016 @ SV871 )
        = $true )
      | ( ( member1321351885real_c @ ( sK85_SY2625 @ SV871 @ SV437 ) @ SV871 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5259]) ).

thf(5435,plain,
    ! [SV446: finite1398487019real_c > $o,SV1009: finite1398487019real_c,SV141: finite1398487019real_c > $o] :
      ( ( ( SV141 @ SV1009 )
        = $false )
      | ( ( SV446 @ SV1009 )
        = $true )
      | ( ( SV141 @ ( sK64_SY2024 @ SV446 @ SV141 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5260]) ).

thf(5436,plain,
    ! [SV693: real > finite1398487019real_c,SV875: real > set_Fi1407883041real_c,SV143: set_real,SV448: real > finite1398487019real_c] :
      ( ( ( ~ ( member1321351885real_c @ SV448 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) ) )
        = $false )
      | ( ( member1321351885real_c @ SV448 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) )
        = $false )
      | ( ( member_real @ ( sK66_SY2432 @ SV875 @ SV693 @ SV448 @ SV143 ) @ SV143 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5262]) ).

thf(5437,plain,
    ! [SV448: real > finite1398487019real_c,SV875: real > set_Fi1407883041real_c,SV143: set_real,SV693: real > finite1398487019real_c] :
      ( ( ( ~ ( member1321351885real_c @ SV693 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) ) )
        = $false )
      | ( ( member1321351885real_c @ SV448 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) )
        = $false )
      | ( ( member_real @ ( sK66_SY2432 @ SV875 @ SV693 @ SV448 @ SV143 ) @ SV143 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5262]) ).

thf(5438,plain,
    ! [SV693: real > finite1398487019real_c,SV875: real > set_Fi1407883041real_c,SV143: set_real,SV448: real > finite1398487019real_c] :
      ( ( ( ~ ( member1321351885real_c @ SV448 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) ) )
        = $false )
      | ( ( member1321351885real_c @ SV693 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) )
        = $false )
      | ( ( member_real @ ( sK66_SY2432 @ SV875 @ SV693 @ SV448 @ SV143 ) @ SV143 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5263]) ).

thf(5439,plain,
    ! [SV448: real > finite1398487019real_c,SV875: real > set_Fi1407883041real_c,SV143: set_real,SV693: real > finite1398487019real_c] :
      ( ( ( ~ ( member1321351885real_c @ SV693 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) ) )
        = $false )
      | ( ( member1321351885real_c @ SV693 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) )
        = $false )
      | ( ( member_real @ ( sK66_SY2432 @ SV875 @ SV693 @ SV448 @ SV143 ) @ SV143 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5263]) ).

thf(5440,plain,
    ! [SV693: real > finite1398487019real_c,SV875: real > set_Fi1407883041real_c,SV143: set_real,SV448: real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ SV448 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) )
        = $true )
      | ( ( member1321351885real_c @ SV448 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) )
        = $false )
      | ( ( ( SV448 @ ( sK66_SY2432 @ SV875 @ SV693 @ SV448 @ SV143 ) )
          = ( SV693 @ ( sK66_SY2432 @ SV875 @ SV693 @ SV448 @ SV143 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5264]) ).

thf(5441,plain,
    ! [SV448: real > finite1398487019real_c,SV875: real > set_Fi1407883041real_c,SV143: set_real,SV693: real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ SV693 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) )
        = $true )
      | ( ( member1321351885real_c @ SV448 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) )
        = $false )
      | ( ( ( SV448 @ ( sK66_SY2432 @ SV875 @ SV693 @ SV448 @ SV143 ) )
          = ( SV693 @ ( sK66_SY2432 @ SV875 @ SV693 @ SV448 @ SV143 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5265]) ).

thf(5442,plain,
    ! [SV693: real > finite1398487019real_c,SV875: real > set_Fi1407883041real_c,SV143: set_real,SV448: real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ SV448 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) )
        = $true )
      | ( ( member1321351885real_c @ SV693 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) )
        = $false )
      | ( ( ( SV448 @ ( sK66_SY2432 @ SV875 @ SV693 @ SV448 @ SV143 ) )
          = ( SV693 @ ( sK66_SY2432 @ SV875 @ SV693 @ SV448 @ SV143 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5266]) ).

thf(5443,plain,
    ! [SV448: real > finite1398487019real_c,SV875: real > set_Fi1407883041real_c,SV143: set_real,SV693: real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ SV693 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) )
        = $true )
      | ( ( member1321351885real_c @ SV693 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) )
        = $false )
      | ( ( ( SV448 @ ( sK66_SY2432 @ SV875 @ SV693 @ SV448 @ SV143 ) )
          = ( SV693 @ ( sK66_SY2432 @ SV875 @ SV693 @ SV448 @ SV143 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5267]) ).

thf(5444,plain,
    ! [SV699: set_Sum_sum_c_d,SV150: c > sum_sum_c_d,SV454: set_c,SV1017: c] :
      ( ( ( ~ ( member_c @ SV1017 @ SV454 ) )
        = $true )
      | ( ( member_Sum_sum_c_d @ ( SV150 @ SV1017 ) @ SV699 )
        = $true )
      | ( ( member_c @ ( sK78_SY2440 @ SV699 @ SV150 @ SV454 ) @ SV454 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[5268]) ).

thf(5445,plain,
    ! [SV699: set_Sum_sum_c_d,SV150: c > sum_sum_c_d,SV454: set_c,SV1010: c] :
      ( ( ( member_c @ SV1010 @ SV454 )
        = $false )
      | ( ( member_Sum_sum_c_d @ ( SV150 @ SV1010 ) @ SV699 )
        = $true )
      | ( ( member_Sum_sum_c_d @ ( SV150 @ ( sK78_SY2440 @ SV699 @ SV150 @ SV454 ) ) @ SV699 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5269]) ).

thf(5446,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          = ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5270]) ).

thf(5447,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
                  | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
              | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
                  | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5271]) ).

thf(5448,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
           != ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
          | ~ ~ ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
                    | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
                | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
                    | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5272]) ).

thf(5449,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) ) )
        = $true )
      | ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          = ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5273]) ).

thf(5450,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $true )
      | ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          = ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5274]) ).

thf(5451,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
          | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) )
        = $true )
      | ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          = ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5275]) ).

thf(5452,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( ~ ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
               != ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
              | ~ ~ ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
                        | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
                    | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
                        | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5276]) ).

thf(5453,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( ~ ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
               != ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
              | ~ ~ ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
                        | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
                    | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
                        | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5276]) ).

thf(5454,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( ~ ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
               != ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
              | ~ ~ ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
                        | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
                    | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
                        | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5277]) ).

thf(5455,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
           != ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
          | ~ ~ ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
                    | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
                | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
                    | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5278]) ).

thf(5456,plain,
    ! [SV706: set_Sum_sum_c_c,SV161: c > sum_sum_c_c,SV465: set_c,SV1018: c] :
      ( ( ( ~ ( member_c @ SV1018 @ SV465 ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( SV161 @ SV1018 ) @ SV706 )
        = $true )
      | ( ( member_c @ ( sK79_SY2448 @ SV706 @ SV161 @ SV465 ) @ SV465 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[5279]) ).

thf(5457,plain,
    ! [SV706: set_Sum_sum_c_c,SV161: c > sum_sum_c_c,SV465: set_c,SV1011: c] :
      ( ( ( member_c @ SV1011 @ SV465 )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( SV161 @ SV1011 ) @ SV706 )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( SV161 @ ( sK79_SY2448 @ SV706 @ SV161 @ SV465 ) ) @ SV706 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5280]) ).

thf(5458,plain,
    ! [SV883: real,SV467: real,SV708: real,SV163: real] :
      ( ( ( SV163 = SV708 )
        = $true )
      | ( ( ~ ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 )
              | ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) ) )
        = $true )
      | ( ( ( set_or656347191t_real @ SV163 @ SV467 )
          = ( set_or656347191t_real @ SV708 @ SV883 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5281]) ).

thf(5459,plain,
    ! [SV708: real,SV163: real,SV883: real,SV467: real] :
      ( ( ( SV467 = SV883 )
        = $true )
      | ( ( ~ ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 )
              | ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) ) )
        = $true )
      | ( ( ( set_or656347191t_real @ SV163 @ SV467 )
          = ( set_or656347191t_real @ SV708 @ SV883 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5282]) ).

thf(5460,plain,
    ! [SV883: real,SV708: real,SV467: real,SV163: real] :
      ( ( ( ( set_or656347191t_real @ SV163 @ SV467 )
         != ( set_or656347191t_real @ SV708 @ SV883 ) )
        = $false )
      | ( ( SV163 = SV708 )
        = $false )
      | ( ( SV467 = SV883 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5283]) ).

thf(5461,plain,
    ! [SV883: real,SV467: real,SV708: real,SV163: real] :
      ( ( ( ~ ( ~ ( ( SV163 != SV708 )
                  | ( SV467 != SV883 ) )
              | ~ ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 )
                  | ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) ) ) )
        = $false )
      | ( ( SV163 = SV708 )
        = $false )
      | ( ( SV467 = SV883 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5283]) ).

thf(5462,plain,
    ! [SV467: real,SV163: real,SV883: real,SV708: real] :
      ( ( ( ord_less_eq_real @ SV708 @ SV883 )
        = $true )
      | ( ( ord_less_eq_real @ SV163 @ SV467 )
        = $true )
      | ( ( ~ ( ( ( set_or656347191t_real @ SV163 @ SV467 )
               != ( set_or656347191t_real @ SV708 @ SV883 ) )
              | ~ ( ~ ( ( SV163 != SV708 )
                      | ( SV467 != SV883 ) )
                  | ~ ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 )
                      | ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5284]) ).

thf(5463,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c] :
      ( ( ( ~ ! [SY2673: c] :
                ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2673 ) @ SV962 )
                | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2673 )
                  = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2673 ) ) ) )
        = $false )
      | ( ( denota1997846518gree_c @ SV481 @ SV886 @ SV962 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5285]) ).

thf(5464,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c] :
      ( ( ( ~ ! [SY2674: c] :
                ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
                | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                  = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) )
        = $false )
      | ( ( denota1997846518gree_c @ SV481 @ SV886 @ SV962 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5285]) ).

thf(5465,plain,
    ! [SV962: set_Sum_sum_c_c,SV481: produc190496183real_c,SV886: produc190496183real_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) @ SV962 ) )
        = $false )
      | ( ( ~ ! [SY2674: c] :
                ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
                | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                  = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( denota1997846518gree_c @ SV481 @ SV886 @ SV962 )
              | ~ ~ ( ~ ! [SY2673: c] :
                          ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2673 ) @ SV962 )
                          | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2673 )
                            = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2673 ) ) )
                    | ~ ! [SY2674: c] :
                          ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
                          | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                            = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5286]) ).

thf(5466,plain,
    ! [SV962: set_Sum_sum_c_c,SV886: produc190496183real_c,SV481: produc190496183real_c] :
      ( ( ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) )
        = $false )
      | ( ( ~ ! [SY2674: c] :
                ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
                | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                  = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( denota1997846518gree_c @ SV481 @ SV886 @ SV962 )
              | ~ ~ ( ~ ! [SY2673: c] :
                          ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2673 ) @ SV962 )
                          | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2673 )
                            = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2673 ) ) )
                    | ~ ! [SY2674: c] :
                          ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
                          | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                            = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5286]) ).

thf(5467,plain,
    ! [SV887: finite1398487019real_c,SV724: finite1398487019real_c,SV487: finite1398487019real_c,SV184: finite1398487019real_c] :
      ( ( ( ( produc394644079real_c @ SV184 @ SV487 )
          = ( produc394644079real_c @ SV724 @ SV887 ) )
        = $true )
      | ( ( SV184 = SV724 )
        = $false )
      | ( ( SV487 = SV887 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5289]) ).

thf(5468,plain,
    ! [SV887: finite1398487019real_c,SV487: finite1398487019real_c,SV724: finite1398487019real_c,SV184: finite1398487019real_c] :
      ( ( ( ~ ( ( SV184 != SV724 )
              | ( SV487 != SV887 ) ) )
        = $true )
      | ( ( SV184 = SV724 )
        = $false )
      | ( ( SV487 = SV887 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5290]) ).

thf(5469,plain,
    ! [SV889: set_Sum_sum_c_c,SV494: set_Sum_sum_c_c,SV1030: sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ SV1030 @ SV494 )
          | ( member_Sum_sum_c_c @ SV1030 @ SV889 ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sK86_SY2635 @ SV889 @ SV494 ) @ SV494 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[5293]) ).

thf(5470,plain,
    ! [SV889: set_Sum_sum_c_c,SV494: set_Sum_sum_c_c,SV1019: sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ SV1019 @ SV494 ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ SV1019 @ SV889 )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sK86_SY2635 @ SV889 @ SV494 ) @ SV889 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5294]) ).

thf(5471,plain,
    ! [SV892: set_Sum_sum_c_c,SV501: set_Sum_sum_c_c,SV1031: sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ SV1031 @ SV501 )
          | ( member_Sum_sum_c_c @ SV1031 @ SV892 ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sK87_SY2636 @ SV892 @ SV501 ) @ SV501 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[5297]) ).

thf(5472,plain,
    ! [SV892: set_Sum_sum_c_c,SV501: set_Sum_sum_c_c,SV1020: sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ SV1020 @ SV501 ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ SV1020 @ SV892 )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sK87_SY2636 @ SV892 @ SV501 ) @ SV892 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5298]) ).

thf(5473,plain,
    ! [SV899: set_c,SV514: set_c,SV1032: c] :
      ( ( ( ~ ( member_c @ SV1032 @ SV514 )
          | ( member_c @ SV1032 @ SV899 ) )
        = $true )
      | ( ( member_c @ ( sK88_SY2637 @ SV899 @ SV514 ) @ SV514 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[5301]) ).

thf(5474,plain,
    ! [SV899: set_c,SV514: set_c,SV1021: c] :
      ( ( ( ~ ( member_c @ SV1021 @ SV514 ) )
        = $true )
      | ( ( member_c @ SV1021 @ SV899 )
        = $true )
      | ( ( member_c @ ( sK88_SY2637 @ SV899 @ SV514 ) @ SV899 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5302]) ).

thf(5475,plain,
    ! [SV745: real > finite1398487019real_c,SV212: real > finite1398487019real_c,SV515: real > finite1398487019real_c] :
      ( ( ( ~ ( ord_le584953750real_c @ SV515 @ SV212 )
          | ~ ( ord_le584953750real_c @ SV212 @ SV745 ) )
        = $false )
      | ( ( ord_le584953750real_c @ SV515 @ SV212 )
        = $false )
      | ( ( ord_le584953750real_c @ SV212 @ SV745 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5304]) ).

thf(5476,plain,
    ! [SV747: set_c,SV214: sum_sum_c_c,SV517: c > sum_sum_c_c] :
      ( ( ( ~ ( member_c @ ( sK100_SY2491 @ SV517 @ SV214 @ SV747 ) @ SV747 ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ SV214 @ ( image_c_Sum_sum_c_c @ SV517 @ SV747 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5305]) ).

thf(5477,plain,
    ! [SV747: set_c,SV517: c > sum_sum_c_c,SV214: sum_sum_c_c] :
      ( ( ( SV214
         != ( SV517 @ ( sK100_SY2491 @ SV517 @ SV214 @ SV747 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ SV214 @ ( image_c_Sum_sum_c_c @ SV517 @ SV747 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5305]) ).

thf(5478,plain,
    ! [SV977: c,SV747: set_c,SV517: c > sum_sum_c_c,SV214: sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ SV214 @ ( image_c_Sum_sum_c_c @ SV517 @ SV747 ) )
          | ~ ~ ! [SY2491: c] :
                  ~ ~ ( ~ ( member_c @ SY2491 @ SV747 )
                      | ( SV214
                       != ( SV517 @ SY2491 ) ) ) )
        = $false )
      | ( ( member_c @ SV977 @ SV747 )
        = $false )
      | ( ( SV214
          = ( SV517 @ SV977 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5306]) ).

thf(5479,plain,
    ! [SV906: real,SV760: real,SV530: real,SV227: real] :
      ( ( ( ord_le1342644953l_real @ ( produc705216881l_real @ SV227 @ SV530 ) @ ( produc705216881l_real @ SV760 @ SV906 ) )
        = $true )
      | ( ( ord_less_eq_real @ SV227 @ SV760 )
        = $false )
      | ( ( ord_less_eq_real @ SV530 @ SV906 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5310]) ).

thf(5480,plain,
    ! [SV906: real,SV530: real,SV760: real,SV227: real] :
      ( ( ( ~ ( ~ ( ord_less_eq_real @ SV227 @ SV760 )
              | ~ ( ord_less_eq_real @ SV530 @ SV906 ) ) )
        = $true )
      | ( ( ord_less_eq_real @ SV227 @ SV760 )
        = $false )
      | ( ( ord_less_eq_real @ SV530 @ SV906 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5311]) ).

thf(5481,plain,
    ! [SV908: set_Sum_sum_c_d,SV534: set_Sum_sum_c_d,SV1033: sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_d @ SV1033 @ SV534 )
          | ( member_Sum_sum_c_d @ SV1033 @ SV908 ) )
        = $true )
      | ( ( member_Sum_sum_c_d @ ( sK90_SY2639 @ SV908 @ SV534 ) @ SV534 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[5314]) ).

thf(5482,plain,
    ! [SV908: set_Sum_sum_c_d,SV534: set_Sum_sum_c_d,SV1022: sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_d @ SV1022 @ SV534 ) )
        = $true )
      | ( ( member_Sum_sum_c_d @ SV1022 @ SV908 )
        = $true )
      | ( ( member_Sum_sum_c_d @ ( sK90_SY2639 @ SV908 @ SV534 ) @ SV908 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5315]) ).

thf(5483,plain,
    ! [SV909: set_c,SV536: set_c,SV1034: c] :
      ( ( ( ~ ( member_c @ SV1034 @ SV536 )
          | ( member_c @ SV1034 @ SV909 ) )
        = $true )
      | ( ( member_c @ ( sK91_SY2640 @ SV909 @ SV536 ) @ SV536 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[5318]) ).

thf(5484,plain,
    ! [SV909: set_c,SV536: set_c,SV1023: c] :
      ( ( ( ~ ( member_c @ SV1023 @ SV536 ) )
        = $true )
      | ( ( member_c @ SV1023 @ SV909 )
        = $true )
      | ( ( member_c @ ( sK91_SY2640 @ SV909 @ SV536 ) @ SV909 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5319]) ).

thf(5485,plain,
    ! [SV538: set_c,SV767: sum_sum_c_c > $o,SV235: c > sum_sum_c_c,SV966: sum_sum_c_c] :
      ( ( ( ~ ( ~ ( member_c @ ( sK103_SY2511 @ SV966 @ SV235 @ SV767 @ SV538 ) @ SV538 )
              | ~ ( SV767 @ ( SV235 @ ( sK103_SY2511 @ SV966 @ SV235 @ SV767 @ SV538 ) ) ) ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ SV966 @ ( image_c_Sum_sum_c_c @ SV235 @ SV538 ) )
        = $false )
      | ( ( SV767 @ SV966 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5320]) ).

thf(5486,plain,
    ! [SV914: produc190496183real_c,SV548: produc190496183real_c] :
      ( ( ( ord_le850691415real_c @ SV548 @ SV914 )
        = $true )
      | ( ( ord_le775706699real_c @ ( produc2010422875real_c @ SV548 ) @ ( produc2010422875real_c @ SV914 ) )
        = $false )
      | ( ( ord_le775706699real_c @ ( produc314122909real_c @ SV548 ) @ ( produc314122909real_c @ SV914 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5323]) ).

thf(5487,plain,
    ! [SV914: produc190496183real_c,SV548: produc190496183real_c] :
      ( ( ( ~ ( ~ ( ord_le775706699real_c @ ( produc2010422875real_c @ SV548 ) @ ( produc2010422875real_c @ SV914 ) )
              | ~ ( ord_le775706699real_c @ ( produc314122909real_c @ SV548 ) @ ( produc314122909real_c @ SV914 ) ) ) )
        = $true )
      | ( ( ord_le775706699real_c @ ( produc2010422875real_c @ SV548 ) @ ( produc2010422875real_c @ SV914 ) )
        = $false )
      | ( ( ord_le775706699real_c @ ( produc314122909real_c @ SV548 ) @ ( produc314122909real_c @ SV914 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5324]) ).

thf(5488,plain,
    ! [SV553: c > $o,SV1012: c,SV250: c > $o] :
      ( ( ( SV250 @ SV1012 )
        = $false )
      | ( ( SV553 @ SV1012 )
        = $true )
      | ( ( SV250 @ ( sK72_SY2211 @ SV553 @ SV250 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5325]) ).

thf(5489,plain,
    ( ( ( ~ ( denota256060419gree_c @ ( sol @ zero_zero_real ) @ ab
            @ ( collect_c
              @ ^ [SX0: c] :
                  ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_BVO_a_c @ oDEa ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( static_FVO_a_c @ oDEa ) ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_FVF_a_b_c @ phi ) ) ) ) ) )
      = $true )
    | ( ( ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) )
        = ( denota161327353_a_b_c @ i @ oDEa
          @ ( produc394644079real_c
            @ ( finite557796307c_real
              @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
            @ bb )
          @ ( finite557796307c_real
            @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ t ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
      = $true )
    | ( ( initia1631504802real_c @ sol
        @ ^ [SX0: real] : ( denota1275485728_a_b_c @ i @ oDEa )
        @ ( set_or656347191t_real @ zero_zero_real @ t )
        @ ( collec230941376real_c
          @ ^ [SX0: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ SX0 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) )
      = $false )
    | ( ( ( produc394644079real_c @ aa @ ba )
        = ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
      = $false )
    | ( ( ord_less_eq_real @ zero_zero_real @ t )
      = $false )
    | ( ( p = phi )
      = $false )
    | ( ( ode = oDEa )
      = $false )
    | ( ( fsafe_a_b_c @ phi )
      = $false )
    | ( ( osafe_a_c @ oDEa )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5327]) ).

thf(5490,plain,
    ( ( ( ~ ( denota256060419gree_c @ ( sol @ zero_zero_real ) @ ab
            @ ( collect_c
              @ ^ [SX0: c] :
                  ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_BVO_a_c @ oDEa ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( static_FVO_a_c @ oDEa ) ) )
                  | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_FVF_a_b_c @ phi ) ) ) ) ) )
      = $true )
    | ( ( ord_less_eq_real @ zero_zero_real @ t )
      = $true )
    | ( ( initia1631504802real_c @ sol
        @ ^ [SX0: real] : ( denota1275485728_a_b_c @ i @ oDEa )
        @ ( set_or656347191t_real @ zero_zero_real @ t )
        @ ( collec230941376real_c
          @ ^ [SX0: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ SX0 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) )
      = $false )
    | ( ( ( produc394644079real_c @ aa @ ba )
        = ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
      = $false )
    | ( ( ord_less_eq_real @ zero_zero_real @ t )
      = $false )
    | ( ( p = phi )
      = $false )
    | ( ( ode = oDEa )
      = $false )
    | ( ( fsafe_a_b_c @ phi )
      = $false )
    | ( ( osafe_a_c @ oDEa )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5328]) ).

thf(5491,plain,
    ! [SV925: real,SV576: real,SV271: real,SV797: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV797 @ SV271 ) )
        = $false )
      | ( ( ord_less_eq_real @ SV271 @ SV576 )
        = $false )
      | ( ( ord_less_eq_set_real @ ( set_or656347191t_real @ SV271 @ SV576 ) @ ( set_or656347191t_real @ SV797 @ SV925 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5329]) ).

thf(5492,plain,
    ! [SV797: real,SV271: real,SV925: real,SV576: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV576 @ SV925 ) )
        = $false )
      | ( ( ord_less_eq_real @ SV271 @ SV576 )
        = $false )
      | ( ( ord_less_eq_set_real @ ( set_or656347191t_real @ SV271 @ SV576 ) @ ( set_or656347191t_real @ SV797 @ SV925 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5329]) ).

thf(5493,plain,
    ! [SV925: real,SV797: real,SV576: real,SV271: real] :
      ( ( ( ord_less_eq_real @ SV271 @ SV576 )
        = $false )
      | ( ( ~ ( ~ ( ord_less_eq_real @ SV797 @ SV271 )
              | ~ ( ord_less_eq_real @ SV576 @ SV925 ) ) )
        = $true )
      | ( ( ord_less_eq_real @ SV271 @ SV576 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5330]) ).

thf(5494,plain,
    ! [SV925: real,SV797: real,SV576: real,SV271: real] :
      ( ( ( ~ ( ord_less_eq_set_real @ ( set_or656347191t_real @ SV271 @ SV576 ) @ ( set_or656347191t_real @ SV797 @ SV925 ) ) )
        = $false )
      | ( ( ord_less_eq_real @ SV797 @ SV271 )
        = $false )
      | ( ( ord_less_eq_real @ SV576 @ SV925 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5331]) ).

thf(5495,plain,
    ! [SV925: real,SV797: real,SV576: real,SV271: real] :
      ( ( ( ~ ( ~ ( ord_less_eq_real @ SV271 @ SV576 )
              | ~ ( ~ ( ord_less_eq_real @ SV797 @ SV271 )
                  | ~ ( ord_less_eq_real @ SV576 @ SV925 ) ) ) )
        = $false )
      | ( ( ord_less_eq_real @ SV797 @ SV271 )
        = $false )
      | ( ( ord_less_eq_real @ SV576 @ SV925 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5331]) ).

thf(5496,plain,
    ! [SV926: set_re2066790124real_c,SV577: set_re2066790124real_c,SV1035: real > finite1398487019real_c] :
      ( ( ( ~ ( member1321351885real_c @ SV1035 @ SV577 )
          | ( member1321351885real_c @ SV1035 @ SV926 ) )
        = $true )
      | ( ( member1321351885real_c @ ( sK92_SY2643 @ SV926 @ SV577 ) @ SV577 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[5334]) ).

thf(5497,plain,
    ! [SV926: set_re2066790124real_c,SV577: set_re2066790124real_c,SV1024: real > finite1398487019real_c] :
      ( ( ( ~ ( member1321351885real_c @ SV1024 @ SV577 ) )
        = $true )
      | ( ( member1321351885real_c @ SV1024 @ SV926 )
        = $true )
      | ( ( member1321351885real_c @ ( sK92_SY2643 @ SV926 @ SV577 ) @ SV926 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5335]) ).

thf(5498,plain,
    ! [SV927: set_Pr1389752855real_c,SV578: set_Pr1389752855real_c,SV1036: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV1036 @ SV578 )
          | ( member1895684704real_c @ SV1036 @ SV927 ) )
        = $true )
      | ( ( member1895684704real_c @ ( sK93_SY2644 @ SV927 @ SV578 ) @ SV578 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[5338]) ).

thf(5499,plain,
    ! [SV927: set_Pr1389752855real_c,SV578: set_Pr1389752855real_c,SV1025: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV1025 @ SV578 ) )
        = $true )
      | ( ( member1895684704real_c @ SV1025 @ SV927 )
        = $true )
      | ( ( member1895684704real_c @ ( sK93_SY2644 @ SV927 @ SV578 ) @ SV927 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5339]) ).

thf(5500,plain,
    ! [SV937: produc957004601l_real,SV606: produc957004601l_real] :
      ( ( ( ord_le1342644953l_real @ SV606 @ SV937 )
        = $true )
      | ( ( ord_less_eq_real @ ( produc1422991709l_real @ SV606 ) @ ( produc1422991709l_real @ SV937 ) )
        = $false )
      | ( ( ord_less_eq_real @ ( produc1407670175l_real @ SV606 ) @ ( produc1407670175l_real @ SV937 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5342]) ).

thf(5501,plain,
    ! [SV937: produc957004601l_real,SV606: produc957004601l_real] :
      ( ( ( ~ ( ~ ( ord_less_eq_real @ ( produc1422991709l_real @ SV606 ) @ ( produc1422991709l_real @ SV937 ) )
              | ~ ( ord_less_eq_real @ ( produc1407670175l_real @ SV606 ) @ ( produc1407670175l_real @ SV937 ) ) ) )
        = $true )
      | ( ( ord_less_eq_real @ ( produc1422991709l_real @ SV606 ) @ ( produc1422991709l_real @ SV937 ) )
        = $false )
      | ( ( ord_less_eq_real @ ( produc1407670175l_real @ SV606 ) @ ( produc1407670175l_real @ SV937 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5343]) ).

thf(5502,plain,
    ! [SV941: finite1398487019real_c,SV831: finite1398487019real_c,SV619: finite1398487019real_c,SV315: finite1398487019real_c] :
      ( ( ( ord_le850691415real_c @ ( produc394644079real_c @ SV315 @ SV619 ) @ ( produc394644079real_c @ SV831 @ SV941 ) )
        = $true )
      | ( ( ord_le775706699real_c @ SV315 @ SV831 )
        = $false )
      | ( ( ord_le775706699real_c @ SV619 @ SV941 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5346]) ).

thf(5503,plain,
    ! [SV941: finite1398487019real_c,SV619: finite1398487019real_c,SV831: finite1398487019real_c,SV315: finite1398487019real_c] :
      ( ( ( ~ ( ~ ( ord_le775706699real_c @ SV315 @ SV831 )
              | ~ ( ord_le775706699real_c @ SV619 @ SV941 ) ) )
        = $true )
      | ( ( ord_le775706699real_c @ SV315 @ SV831 )
        = $false )
      | ( ( ord_le775706699real_c @ SV619 @ SV941 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5347]) ).

thf(5504,plain,
    ! [SV832: real > set_Fi1407883041real_c,SV316: real > finite1398487019real_c,SV620: set_real,SV1026: real] :
      ( ( ( ~ ( member_real @ SV1026 @ SV620 ) )
        = $true )
      | ( ( member1261661570real_c @ ( SV316 @ SV1026 ) @ ( SV832 @ SV1026 ) )
        = $true )
      | ( ( member_real @ ( sK81_SY2577 @ SV832 @ SV316 @ SV620 ) @ SV620 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[5348]) ).

thf(5505,plain,
    ! [SV832: real > set_Fi1407883041real_c,SV316: real > finite1398487019real_c,SV620: set_real,SV1013: real] :
      ( ( ( member_real @ SV1013 @ SV620 )
        = $false )
      | ( ( member1261661570real_c @ ( SV316 @ SV1013 ) @ ( SV832 @ SV1013 ) )
        = $true )
      | ( ( member1261661570real_c @ ( SV316 @ ( sK81_SY2577 @ SV832 @ SV316 @ SV620 ) ) @ ( SV832 @ ( sK81_SY2577 @ SV832 @ SV316 @ SV620 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5349]) ).

thf(5506,plain,
    ! [SV944: produc190496183real_c,SV627: produc190496183real_c] :
      ( ( ( SV627 = SV944 )
        = $true )
      | ( ( ( produc2010422875real_c @ SV627 )
          = ( produc2010422875real_c @ SV944 ) )
        = $false )
      | ( ( ( produc314122909real_c @ SV627 )
          = ( produc314122909real_c @ SV944 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5352]) ).

thf(5507,plain,
    ! [SV944: produc190496183real_c,SV627: produc190496183real_c] :
      ( ( ( ~ ( ( ( produc2010422875real_c @ SV627 )
               != ( produc2010422875real_c @ SV944 ) )
              | ( ( produc314122909real_c @ SV627 )
               != ( produc314122909real_c @ SV944 ) ) ) )
        = $true )
      | ( ( ( produc2010422875real_c @ SV627 )
          = ( produc2010422875real_c @ SV944 ) )
        = $false )
      | ( ( ( produc314122909real_c @ SV627 )
          = ( produc314122909real_c @ SV944 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5353]) ).

thf(5508,plain,
    ! [SV945: set_Pr1389752855real_c,SV628: set_Pr1389752855real_c,SV1037: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV1037 @ SV628 )
          | ( member1895684704real_c @ SV1037 @ SV945 ) )
        = $true )
      | ( ( member1895684704real_c @ ( sK95_SY2647 @ SV945 @ SV628 ) @ SV628 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[5356]) ).

thf(5509,plain,
    ! [SV945: set_Pr1389752855real_c,SV628: set_Pr1389752855real_c,SV1027: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV1027 @ SV628 ) )
        = $true )
      | ( ( member1895684704real_c @ SV1027 @ SV945 )
        = $true )
      | ( ( member1895684704real_c @ ( sK95_SY2647 @ SV945 @ SV628 ) @ SV945 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5357]) ).

thf(5510,plain,
    ! [SV842: set_c,SV327: set_Sum_sum_c_c,SV631: c > sum_sum_c_c] :
      ( ( ( ~ ( ord_less_eq_set_c @ ( sK101_SY2581 @ SV631 @ SV327 @ SV842 ) @ SV842 ) )
        = $false )
      | ( ( ord_le1772180283um_c_c @ SV327 @ ( image_c_Sum_sum_c_c @ SV631 @ SV842 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5358]) ).

thf(5511,plain,
    ! [SV842: set_c,SV631: c > sum_sum_c_c,SV327: set_Sum_sum_c_c] :
      ( ( ( SV327
         != ( image_c_Sum_sum_c_c @ SV631 @ ( sK101_SY2581 @ SV631 @ SV327 @ SV842 ) ) )
        = $false )
      | ( ( ord_le1772180283um_c_c @ SV327 @ ( image_c_Sum_sum_c_c @ SV631 @ SV842 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5358]) ).

thf(5512,plain,
    ! [SV979: set_c,SV842: set_c,SV631: c > sum_sum_c_c,SV327: set_Sum_sum_c_c] :
      ( ( ( ~ ( ord_le1772180283um_c_c @ SV327 @ ( image_c_Sum_sum_c_c @ SV631 @ SV842 ) )
          | ~ ~ ! [SY2581: set_c] :
                  ~ ~ ( ~ ( ord_less_eq_set_c @ SY2581 @ SV842 )
                      | ( SV327
                       != ( image_c_Sum_sum_c_c @ SV631 @ SY2581 ) ) ) )
        = $false )
      | ( ( ord_less_eq_set_c @ SV979 @ SV842 )
        = $false )
      | ( ( SV327
          = ( image_c_Sum_sum_c_c @ SV631 @ SV979 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5359]) ).

thf(5513,plain,
    ! [SV633: set_c,SV844: sum_sum_c_d > $o,SV329: c > sum_sum_c_d,SV968: sum_sum_c_d] :
      ( ( ( ~ ( ~ ( member_c @ ( sK104_SY2585 @ SV968 @ SV329 @ SV844 @ SV633 ) @ SV633 )
              | ~ ( SV844 @ ( SV329 @ ( sK104_SY2585 @ SV968 @ SV329 @ SV844 @ SV633 ) ) ) ) )
        = $true )
      | ( ( member_Sum_sum_c_d @ SV968 @ ( image_c_Sum_sum_c_d @ SV329 @ SV633 ) )
        = $false )
      | ( ( SV844 @ SV968 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5360]) ).

thf(5514,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
          | ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ ( equiv_a_b_c @ SV645 @ SV855 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5361]) ).

thf(5515,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
          | ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ ( equiv_a_b_c @ SV645 @ SV855 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5362]) ).

thf(5516,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ~ ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
              | ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
          | ~ ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
              | ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[5364]) ).

thf(5517,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
          = ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[5364]) ).

thf(5518,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ ( equiv_a_b_c @ SV645 @ SV855 ) ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5365]) ).

thf(5519,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
         != ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5365]) ).

thf(5520,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $false )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
              | ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) ) )
        = $true )
      | ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
          = ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5366]) ).

thf(5521,plain,
    ! [SV645: formula_a_b_c,SV855: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $false )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
              | ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) ) )
        = $true )
      | ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
          = ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5366]) ).

thf(5522,plain,
    ! [SV98: $o] :
      ( ( SV98 = $true )
      | ( SV98 = $false )
      | ( SV98 = $false )
      | ( SV98 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5367]) ).

thf(5523,plain,
    ! [SV98: $o] :
      ( ( $false = $true )
      | ( SV98 = $false )
      | ( SV98 = $false )
      | ( SV98 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5368]) ).

thf(5524,plain,
    ! [SV98: $o] :
      ( ( SV98 = $true )
      | ( $false = $false )
      | ( SV98 = $false )
      | ( SV98 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5369]) ).

thf(5525,plain,
    ! [SV98: $o] :
      ( ( $false = $true )
      | ( $false = $false )
      | ( SV98 = $false )
      | ( SV98 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5370]) ).

thf(5526,plain,
    ! [SV98: $o] :
      ( ( SV98 = $true )
      | ( SV98 = $false )
      | ( SV98 = $false )
      | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5371]) ).

thf(5527,plain,
    ! [SV98: $o] :
      ( ( $false = $true )
      | ( SV98 = $false )
      | ( SV98 = $false )
      | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5372]) ).

thf(5528,plain,
    ! [SV98: $o] :
      ( ( SV98 = $true )
      | ( $false = $false )
      | ( SV98 = $false )
      | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5373]) ).

thf(5529,plain,
    ! [SV98: $o] :
      ( ( $false = $true )
      | ( $false = $false )
      | ( SV98 = $false )
      | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5374]) ).

thf(5530,plain,
    ! [SV98: $o] :
      ( ( SV98 = $true )
      | ( SV98 = $false )
      | ( $true = $false )
      | ( SV98 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5375]) ).

thf(5531,plain,
    ! [SV98: $o] :
      ( ( $false = $true )
      | ( SV98 = $false )
      | ( $true = $false )
      | ( SV98 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5376]) ).

thf(5532,plain,
    ! [SV98: $o] :
      ( ( SV98 = $true )
      | ( $false = $false )
      | ( $true = $false )
      | ( SV98 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5377]) ).

thf(5533,plain,
    ! [SV98: $o] :
      ( ( $false = $true )
      | ( $false = $false )
      | ( $true = $false )
      | ( SV98 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5378]) ).

thf(5534,plain,
    ! [SV98: $o] :
      ( ( SV98 = $true )
      | ( SV98 = $false )
      | ( $true = $false )
      | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5379]) ).

thf(5535,plain,
    ! [SV98: $o] :
      ( ( $false = $true )
      | ( SV98 = $false )
      | ( $true = $false )
      | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5380]) ).

thf(5536,plain,
    ! [SV98: $o] :
      ( ( SV98 = $true )
      | ( $false = $false )
      | ( $true = $false )
      | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5381]) ).

thf(5537,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5382]) ).

thf(5538,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5383]) ).

thf(5539,plain,
    ( ( $false = $true )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5384]) ).

thf(5540,plain,
    ( ( $true = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5385]) ).

thf(5541,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5386]) ).

thf(5542,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5387]) ).

thf(5543,plain,
    ( ( $false = $true )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5388]) ).

thf(5544,plain,
    ( ( $true = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5389]) ).

thf(5545,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5390]) ).

thf(5546,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5391]) ).

thf(5547,plain,
    ( ( $false = $true )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5392]) ).

thf(5548,plain,
    ( ( $true = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5393]) ).

thf(5549,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5394]) ).

thf(5550,plain,
    ( ( $true = $true )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5395]) ).

thf(5551,plain,
    ( ( $false = $true )
    | ( $true = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5396]) ).

thf(5552,plain,
    ( ( $true = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5397]) ).

thf(5553,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5398]) ).

thf(5554,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5399]) ).

thf(5555,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5400]) ).

thf(5556,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5401]) ).

thf(5557,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5402]) ).

thf(5558,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5403]) ).

thf(5559,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5404]) ).

thf(5560,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5405]) ).

thf(5561,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $false = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5406]) ).

thf(5562,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5407]) ).

thf(5563,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5408]) ).

thf(5564,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5409]) ).

thf(5565,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5410]) ).

thf(5566,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5411]) ).

thf(5567,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5412]) ).

thf(5568,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5413]) ).

thf(5569,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( $true = $false )
    | ( $true = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5414]) ).

thf(5570,plain,
    ! [SV865: finite1398487019real_c,SV412: finite1398487019real_c,SV666: finite1398487019real_c,SV107: finite1398487019real_c] :
      ( ( ( ( SV107 != SV666 )
          | ( SV412 != SV865 ) )
        = $false )
      | ( ( SV107 = SV666 )
        = $false )
      | ( ( SV412 = SV865 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5416]) ).

thf(5571,plain,
    ! [SV668: set_c,SV109: set_Sum_sum_c_d,SV414: c > sum_sum_c_d] :
      ( ( ( ord_less_eq_set_c @ ( sK98_SY2402 @ SV414 @ SV109 @ SV668 ) @ SV668 )
        = $true )
      | ( ( ord_le764260924um_c_d @ SV109 @ ( image_c_Sum_sum_c_d @ SV414 @ SV668 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5417]) ).

thf(5572,plain,
    ! [SV668: set_c,SV414: c > sum_sum_c_d,SV109: set_Sum_sum_c_d] :
      ( ( ( SV109
          = ( image_c_Sum_sum_c_d @ SV414 @ ( sK98_SY2402 @ SV414 @ SV109 @ SV668 ) ) )
        = $true )
      | ( ( ord_le764260924um_c_d @ SV109 @ ( image_c_Sum_sum_c_d @ SV414 @ SV668 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5418]) ).

thf(5573,plain,
    ! [SV973: set_c,SV668: set_c,SV414: c > sum_sum_c_d,SV109: set_Sum_sum_c_d] :
      ( ( ( ~ ( ord_le764260924um_c_d @ SV109 @ ( image_c_Sum_sum_c_d @ SV414 @ SV668 ) ) )
        = $false )
      | ( ( ord_less_eq_set_c @ SV973 @ SV668 )
        = $false )
      | ( ( SV109
          = ( image_c_Sum_sum_c_d @ SV414 @ SV973 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5419]) ).

thf(5574,plain,
    ! [SV973: set_c,SV414: c > sum_sum_c_d,SV109: set_Sum_sum_c_d,SV668: set_c] :
      ( ( ( ~ ~ ! [SY2402: set_c] :
                  ~ ~ ( ~ ( ord_less_eq_set_c @ SY2402 @ SV668 )
                      | ( SV109
                       != ( image_c_Sum_sum_c_d @ SV414 @ SY2402 ) ) ) )
        = $false )
      | ( ( ord_less_eq_set_c @ SV973 @ SV668 )
        = $false )
      | ( ( SV109
          = ( image_c_Sum_sum_c_d @ SV414 @ SV973 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5419]) ).

thf(5575,plain,
    ( ( ( denota256060419gree_c @ ( sol @ zero_zero_real ) @ ab
        @ ( collect_c
          @ ^ [SX0: c] :
              ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_BVO_a_c @ oDEa ) )
              | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( static_FVO_a_c @ oDEa ) ) )
              | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_FVF_a_b_c @ phi ) ) ) ) )
      = $false )
    | ( ( ab
        = ( finite557796307c_real
          @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) )
      = $true )
    | ( ( initia1631504802real_c @ sol
        @ ^ [SX0: real] : ( denota1275485728_a_b_c @ i @ oDEa )
        @ ( set_or656347191t_real @ zero_zero_real @ t )
        @ ( collec230941376real_c
          @ ^ [SX0: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ SX0 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) )
      = $false )
    | ( ( ( produc394644079real_c @ aa @ ba )
        = ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
      = $false )
    | ( ( ord_less_eq_real @ zero_zero_real @ t )
      = $false )
    | ( ( p = phi )
      = $false )
    | ( ( ode = oDEa )
      = $false )
    | ( ( fsafe_a_b_c @ phi )
      = $false )
    | ( ( osafe_a_c @ oDEa )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5420]) ).

thf(5576,plain,
    ! [SV670: produc190496183real_c,SV112: produc190496183real_c,SV417: produc190496183real_c] :
      ( ( ( ~ ( ord_le850691415real_c @ SV417 @ SV112 ) )
        = $false )
      | ( ( ord_le850691415real_c @ SV417 @ SV112 )
        = $false )
      | ( ( ord_le850691415real_c @ SV112 @ SV670 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5421]) ).

thf(5577,plain,
    ! [SV417: produc190496183real_c,SV670: produc190496183real_c,SV112: produc190496183real_c] :
      ( ( ( ~ ( ord_le850691415real_c @ SV112 @ SV670 ) )
        = $false )
      | ( ( ord_le850691415real_c @ SV417 @ SV112 )
        = $false )
      | ( ( ord_le850691415real_c @ SV112 @ SV670 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5421]) ).

thf(5578,plain,
    ! [SV672: set_c,SV115: sum_sum_c_d,SV420: c > sum_sum_c_d] :
      ( ( ( member_c @ ( sK99_SY2406 @ SV420 @ SV115 @ SV672 ) @ SV672 )
        = $true )
      | ( ( member_Sum_sum_c_d @ SV115 @ ( image_c_Sum_sum_c_d @ SV420 @ SV672 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5422]) ).

thf(5579,plain,
    ! [SV672: set_c,SV420: c > sum_sum_c_d,SV115: sum_sum_c_d] :
      ( ( ( SV115
          = ( SV420 @ ( sK99_SY2406 @ SV420 @ SV115 @ SV672 ) ) )
        = $true )
      | ( ( member_Sum_sum_c_d @ SV115 @ ( image_c_Sum_sum_c_d @ SV420 @ SV672 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5423]) ).

thf(5580,plain,
    ! [SV974: c,SV672: set_c,SV420: c > sum_sum_c_d,SV115: sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_d @ SV115 @ ( image_c_Sum_sum_c_d @ SV420 @ SV672 ) ) )
        = $false )
      | ( ( member_c @ SV974 @ SV672 )
        = $false )
      | ( ( SV115
          = ( SV420 @ SV974 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5424]) ).

thf(5581,plain,
    ! [SV974: c,SV420: c > sum_sum_c_d,SV115: sum_sum_c_d,SV672: set_c] :
      ( ( ( ~ ~ ! [SY2406: c] :
                  ~ ~ ( ~ ( member_c @ SY2406 @ SV672 )
                      | ( SV115
                       != ( SV420 @ SY2406 ) ) ) )
        = $false )
      | ( ( member_c @ SV974 @ SV672 )
        = $false )
      | ( ( SV115
          = ( SV420 @ SV974 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5424]) ).

thf(5582,plain,
    ! [SV674: real,SV117: real,SV422: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV422 @ SV117 ) )
        = $false )
      | ( ( ord_less_eq_real @ SV422 @ SV117 )
        = $false )
      | ( ( ord_less_eq_real @ SV117 @ SV674 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5425]) ).

thf(5583,plain,
    ! [SV422: real,SV674: real,SV117: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV117 @ SV674 ) )
        = $false )
      | ( ( ord_less_eq_real @ SV422 @ SV117 )
        = $false )
      | ( ( ord_less_eq_real @ SV117 @ SV674 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5425]) ).

thf(5584,plain,
    ! [SV868: finite1398487019real_c,SV424: finite1398487019real_c,SV961: set_c,SV1014: c] :
      ( ( ( member_c @ SV1014 @ SV961 )
        = $false )
      | ( ( ( finite772340578real_c @ SV424 @ SV1014 )
          = ( finite772340578real_c @ SV868 @ SV1014 ) )
        = $true )
      | ( ( denota256060419gree_c @ SV424 @ SV868 @ SV961 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5426]) ).

thf(5585,plain,
    ! [SV961: set_c,SV868: finite1398487019real_c,SV424: finite1398487019real_c] :
      ( ( ( denota256060419gree_c @ SV424 @ SV868 @ SV961 )
        = $true )
      | ( ( member_c @ ( sK97_SY2672 @ SV868 @ SV424 @ SV961 ) @ SV961 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5427]) ).

thf(5586,plain,
    ! [SV868: finite1398487019real_c,SV424: finite1398487019real_c,SV961: set_c] :
      ( ( ( ! [SY2672: c] :
              ( ~ ( member_c @ SY2672 @ SV961 )
              | ( ( finite772340578real_c @ SV424 @ SY2672 )
                = ( finite772340578real_c @ SV868 @ SY2672 ) ) ) )
        = $true )
      | ( ( member_c @ ( sK97_SY2672 @ SV868 @ SV424 @ SV961 ) @ SV961 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5428]) ).

thf(5587,plain,
    ! [SV868: finite1398487019real_c,SV424: finite1398487019real_c,SV961: set_c,SV1038: c] :
      ( ( ( ~ ( member_c @ SV1038 @ SV961 )
          | ( ( finite772340578real_c @ SV424 @ SV1038 )
            = ( finite772340578real_c @ SV868 @ SV1038 ) ) )
        = $true )
      | ( ( ( finite772340578real_c @ SV424 @ ( sK97_SY2672 @ SV868 @ SV424 @ SV961 ) )
          = ( finite772340578real_c @ SV868 @ ( sK97_SY2672 @ SV868 @ SV424 @ SV961 ) ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[5430]) ).

thf(5588,plain,
    ! [SV869: set_Sum_sum_c_d,SV430: set_Sum_sum_c_d,SV1028: sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_d @ SV1028 @ SV430 ) )
        = $true )
      | ( ( member_Sum_sum_c_d @ SV1028 @ SV869 )
        = $true )
      | ( ( member_Sum_sum_c_d @ ( sK84_SY2624 @ SV869 @ SV430 ) @ SV430 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[5431]) ).

thf(5589,plain,
    ! [SV869: set_Sum_sum_c_d,SV430: set_Sum_sum_c_d,SV1015: sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ SV1015 @ SV430 )
        = $false )
      | ( ( member_Sum_sum_c_d @ SV1015 @ SV869 )
        = $true )
      | ( ( member_Sum_sum_c_d @ ( sK84_SY2624 @ SV869 @ SV430 ) @ SV869 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5432]) ).

thf(5590,plain,
    ! [SV871: set_re2066790124real_c,SV437: set_re2066790124real_c,SV1029: real > finite1398487019real_c] :
      ( ( ( ~ ( member1321351885real_c @ SV1029 @ SV437 ) )
        = $true )
      | ( ( member1321351885real_c @ SV1029 @ SV871 )
        = $true )
      | ( ( member1321351885real_c @ ( sK85_SY2625 @ SV871 @ SV437 ) @ SV437 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[5433]) ).

thf(5591,plain,
    ! [SV871: set_re2066790124real_c,SV437: set_re2066790124real_c,SV1016: real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ SV1016 @ SV437 )
        = $false )
      | ( ( member1321351885real_c @ SV1016 @ SV871 )
        = $true )
      | ( ( member1321351885real_c @ ( sK85_SY2625 @ SV871 @ SV437 ) @ SV871 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5434]) ).

thf(5592,plain,
    ! [SV693: real > finite1398487019real_c,SV875: real > set_Fi1407883041real_c,SV143: set_real,SV448: real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ SV448 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) )
        = $true )
      | ( ( member1321351885real_c @ SV448 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) )
        = $false )
      | ( ( member_real @ ( sK66_SY2432 @ SV875 @ SV693 @ SV448 @ SV143 ) @ SV143 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5436]) ).

thf(5593,plain,
    ! [SV448: real > finite1398487019real_c,SV875: real > set_Fi1407883041real_c,SV143: set_real,SV693: real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ SV693 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) )
        = $true )
      | ( ( member1321351885real_c @ SV448 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) )
        = $false )
      | ( ( member_real @ ( sK66_SY2432 @ SV875 @ SV693 @ SV448 @ SV143 ) @ SV143 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5437]) ).

thf(5594,plain,
    ! [SV693: real > finite1398487019real_c,SV875: real > set_Fi1407883041real_c,SV143: set_real,SV448: real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ SV448 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) )
        = $true )
      | ( ( member1321351885real_c @ SV693 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) )
        = $false )
      | ( ( member_real @ ( sK66_SY2432 @ SV875 @ SV693 @ SV448 @ SV143 ) @ SV143 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5438]) ).

thf(5595,plain,
    ! [SV448: real > finite1398487019real_c,SV875: real > set_Fi1407883041real_c,SV143: set_real,SV693: real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ SV693 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) )
        = $true )
      | ( ( member1321351885real_c @ SV693 @ ( pi_rea1111636068real_c @ SV143 @ SV875 ) )
        = $false )
      | ( ( member_real @ ( sK66_SY2432 @ SV875 @ SV693 @ SV448 @ SV143 ) @ SV143 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5439]) ).

thf(5596,plain,
    ! [SV699: set_Sum_sum_c_d,SV150: c > sum_sum_c_d,SV454: set_c,SV1017: c] :
      ( ( ( member_c @ SV1017 @ SV454 )
        = $false )
      | ( ( member_Sum_sum_c_d @ ( SV150 @ SV1017 ) @ SV699 )
        = $true )
      | ( ( member_c @ ( sK78_SY2440 @ SV699 @ SV150 @ SV454 ) @ SV454 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5444]) ).

thf(5597,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
          | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[5446]) ).

thf(5598,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          = ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[5446]) ).

thf(5599,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
          | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
              | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5447]) ).

thf(5600,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
         != ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5448]) ).

thf(5601,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ~ ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
                    | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
                | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
                    | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5448]) ).

thf(5602,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) ) )
        = $true )
      | ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          = ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5449]) ).

thf(5603,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) ) )
        = $true )
      | ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          = ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5449]) ).

thf(5604,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true )
      | ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          = ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5450]) ).

thf(5605,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          = ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5451]) ).

thf(5606,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( ~ ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
               != ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
              | ~ ~ ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
                        | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
                    | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
                        | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5452]) ).

thf(5607,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
           != ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
          | ~ ~ ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
                    | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
                | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
                    | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5453]) ).

thf(5608,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
           != ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
          | ~ ~ ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
                    | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
                | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
                    | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5454]) ).

thf(5609,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
         != ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5455]) ).

thf(5610,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ~ ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
                    | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
                | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
                    | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5455]) ).

thf(5611,plain,
    ! [SV706: set_Sum_sum_c_c,SV161: c > sum_sum_c_c,SV465: set_c,SV1018: c] :
      ( ( ( member_c @ SV1018 @ SV465 )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( SV161 @ SV1018 ) @ SV706 )
        = $true )
      | ( ( member_c @ ( sK79_SY2448 @ SV706 @ SV161 @ SV465 ) @ SV465 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5456]) ).

thf(5612,plain,
    ! [SV883: real,SV708: real,SV467: real,SV163: real] :
      ( ( ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 )
          | ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) )
        = $false )
      | ( ( SV163 = SV708 )
        = $true )
      | ( ( ( set_or656347191t_real @ SV163 @ SV467 )
          = ( set_or656347191t_real @ SV708 @ SV883 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5458]) ).

thf(5613,plain,
    ! [SV883: real,SV708: real,SV467: real,SV163: real] :
      ( ( ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 )
          | ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) )
        = $false )
      | ( ( SV467 = SV883 )
        = $true )
      | ( ( ( set_or656347191t_real @ SV163 @ SV467 )
          = ( set_or656347191t_real @ SV708 @ SV883 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5459]) ).

thf(5614,plain,
    ! [SV883: real,SV708: real,SV467: real,SV163: real] :
      ( ( ( ( set_or656347191t_real @ SV163 @ SV467 )
          = ( set_or656347191t_real @ SV708 @ SV883 ) )
        = $true )
      | ( ( SV163 = SV708 )
        = $false )
      | ( ( SV467 = SV883 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5460]) ).

thf(5615,plain,
    ! [SV883: real,SV467: real,SV708: real,SV163: real] :
      ( ( ( ~ ( ( SV163 != SV708 )
              | ( SV467 != SV883 ) )
          | ~ ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 )
              | ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) ) )
        = $true )
      | ( ( SV163 = SV708 )
        = $false )
      | ( ( SV467 = SV883 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5461]) ).

thf(5616,plain,
    ! [SV883: real,SV708: real,SV467: real,SV163: real] :
      ( ( ( ( ( set_or656347191t_real @ SV163 @ SV467 )
           != ( set_or656347191t_real @ SV708 @ SV883 ) )
          | ~ ( ~ ( ( SV163 != SV708 )
                  | ( SV467 != SV883 ) )
              | ~ ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 )
                  | ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) ) ) )
        = $false )
      | ( ( ord_less_eq_real @ SV163 @ SV467 )
        = $true )
      | ( ( ord_less_eq_real @ SV708 @ SV883 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5462]) ).

thf(5617,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c] :
      ( ( ( ! [SY2673: c] :
              ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2673 ) @ SV962 )
              | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2673 )
                = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2673 ) ) ) )
        = $true )
      | ( ( denota1997846518gree_c @ SV481 @ SV886 @ SV962 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5463]) ).

thf(5618,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c] :
      ( ( ( ! [SY2674: c] :
              ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
              | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) )
        = $true )
      | ( ( denota1997846518gree_c @ SV481 @ SV886 @ SV962 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5464]) ).

thf(5619,plain,
    ! [SV962: set_Sum_sum_c_c,SV481: produc190496183real_c,SV886: produc190496183real_c] :
      ( ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true )
      | ( ( ~ ! [SY2674: c] :
                ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
                | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                  = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( denota1997846518gree_c @ SV481 @ SV886 @ SV962 )
              | ~ ~ ( ~ ! [SY2673: c] :
                          ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2673 ) @ SV962 )
                          | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2673 )
                            = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2673 ) ) )
                    | ~ ! [SY2674: c] :
                          ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
                          | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                            = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5465]) ).

thf(5620,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c] :
      ( ( ( ! [SY2674: c] :
              ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
              | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) )
        = $false )
      | ( ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) )
        = $false )
      | ( ( ~ ( ~ ( denota1997846518gree_c @ SV481 @ SV886 @ SV962 )
              | ~ ~ ( ~ ! [SY2673: c] :
                          ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2673 ) @ SV962 )
                          | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2673 )
                            = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2673 ) ) )
                    | ~ ! [SY2674: c] :
                          ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
                          | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                            = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5466]) ).

thf(5621,plain,
    ! [SV887: finite1398487019real_c,SV487: finite1398487019real_c,SV724: finite1398487019real_c,SV184: finite1398487019real_c] :
      ( ( ( ( SV184 != SV724 )
          | ( SV487 != SV887 ) )
        = $false )
      | ( ( SV184 = SV724 )
        = $false )
      | ( ( SV487 = SV887 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5468]) ).

thf(5622,plain,
    ! [SV889: set_Sum_sum_c_c,SV494: set_Sum_sum_c_c,SV1030: sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ SV1030 @ SV494 ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ SV1030 @ SV889 )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sK86_SY2635 @ SV889 @ SV494 ) @ SV494 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[5469]) ).

thf(5623,plain,
    ! [SV889: set_Sum_sum_c_c,SV494: set_Sum_sum_c_c,SV1019: sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ SV1019 @ SV494 )
        = $false )
      | ( ( member_Sum_sum_c_c @ SV1019 @ SV889 )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sK86_SY2635 @ SV889 @ SV494 ) @ SV889 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5470]) ).

thf(5624,plain,
    ! [SV892: set_Sum_sum_c_c,SV501: set_Sum_sum_c_c,SV1031: sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ SV1031 @ SV501 ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ SV1031 @ SV892 )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sK87_SY2636 @ SV892 @ SV501 ) @ SV501 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[5471]) ).

thf(5625,plain,
    ! [SV892: set_Sum_sum_c_c,SV501: set_Sum_sum_c_c,SV1020: sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ SV1020 @ SV501 )
        = $false )
      | ( ( member_Sum_sum_c_c @ SV1020 @ SV892 )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sK87_SY2636 @ SV892 @ SV501 ) @ SV892 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5472]) ).

thf(5626,plain,
    ! [SV899: set_c,SV514: set_c,SV1032: c] :
      ( ( ( ~ ( member_c @ SV1032 @ SV514 ) )
        = $true )
      | ( ( member_c @ SV1032 @ SV899 )
        = $true )
      | ( ( member_c @ ( sK88_SY2637 @ SV899 @ SV514 ) @ SV514 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[5473]) ).

thf(5627,plain,
    ! [SV899: set_c,SV514: set_c,SV1021: c] :
      ( ( ( member_c @ SV1021 @ SV514 )
        = $false )
      | ( ( member_c @ SV1021 @ SV899 )
        = $true )
      | ( ( member_c @ ( sK88_SY2637 @ SV899 @ SV514 ) @ SV899 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5474]) ).

thf(5628,plain,
    ! [SV745: real > finite1398487019real_c,SV212: real > finite1398487019real_c,SV515: real > finite1398487019real_c] :
      ( ( ( ~ ( ord_le584953750real_c @ SV515 @ SV212 ) )
        = $false )
      | ( ( ord_le584953750real_c @ SV515 @ SV212 )
        = $false )
      | ( ( ord_le584953750real_c @ SV212 @ SV745 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5475]) ).

thf(5629,plain,
    ! [SV515: real > finite1398487019real_c,SV745: real > finite1398487019real_c,SV212: real > finite1398487019real_c] :
      ( ( ( ~ ( ord_le584953750real_c @ SV212 @ SV745 ) )
        = $false )
      | ( ( ord_le584953750real_c @ SV515 @ SV212 )
        = $false )
      | ( ( ord_le584953750real_c @ SV212 @ SV745 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5475]) ).

thf(5630,plain,
    ! [SV747: set_c,SV214: sum_sum_c_c,SV517: c > sum_sum_c_c] :
      ( ( ( member_c @ ( sK100_SY2491 @ SV517 @ SV214 @ SV747 ) @ SV747 )
        = $true )
      | ( ( member_Sum_sum_c_c @ SV214 @ ( image_c_Sum_sum_c_c @ SV517 @ SV747 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5476]) ).

thf(5631,plain,
    ! [SV747: set_c,SV517: c > sum_sum_c_c,SV214: sum_sum_c_c] :
      ( ( ( SV214
          = ( SV517 @ ( sK100_SY2491 @ SV517 @ SV214 @ SV747 ) ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ SV214 @ ( image_c_Sum_sum_c_c @ SV517 @ SV747 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5477]) ).

thf(5632,plain,
    ! [SV977: c,SV747: set_c,SV517: c > sum_sum_c_c,SV214: sum_sum_c_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ SV214 @ ( image_c_Sum_sum_c_c @ SV517 @ SV747 ) ) )
        = $false )
      | ( ( member_c @ SV977 @ SV747 )
        = $false )
      | ( ( SV214
          = ( SV517 @ SV977 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5478]) ).

thf(5633,plain,
    ! [SV977: c,SV517: c > sum_sum_c_c,SV214: sum_sum_c_c,SV747: set_c] :
      ( ( ( ~ ~ ! [SY2491: c] :
                  ~ ~ ( ~ ( member_c @ SY2491 @ SV747 )
                      | ( SV214
                       != ( SV517 @ SY2491 ) ) ) )
        = $false )
      | ( ( member_c @ SV977 @ SV747 )
        = $false )
      | ( ( SV214
          = ( SV517 @ SV977 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5478]) ).

thf(5634,plain,
    ! [SV906: real,SV530: real,SV760: real,SV227: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV227 @ SV760 )
          | ~ ( ord_less_eq_real @ SV530 @ SV906 ) )
        = $false )
      | ( ( ord_less_eq_real @ SV227 @ SV760 )
        = $false )
      | ( ( ord_less_eq_real @ SV530 @ SV906 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5480]) ).

thf(5635,plain,
    ! [SV908: set_Sum_sum_c_d,SV534: set_Sum_sum_c_d,SV1033: sum_sum_c_d] :
      ( ( ( ~ ( member_Sum_sum_c_d @ SV1033 @ SV534 ) )
        = $true )
      | ( ( member_Sum_sum_c_d @ SV1033 @ SV908 )
        = $true )
      | ( ( member_Sum_sum_c_d @ ( sK90_SY2639 @ SV908 @ SV534 ) @ SV534 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[5481]) ).

thf(5636,plain,
    ! [SV908: set_Sum_sum_c_d,SV534: set_Sum_sum_c_d,SV1022: sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ SV1022 @ SV534 )
        = $false )
      | ( ( member_Sum_sum_c_d @ SV1022 @ SV908 )
        = $true )
      | ( ( member_Sum_sum_c_d @ ( sK90_SY2639 @ SV908 @ SV534 ) @ SV908 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5482]) ).

thf(5637,plain,
    ! [SV909: set_c,SV536: set_c,SV1034: c] :
      ( ( ( ~ ( member_c @ SV1034 @ SV536 ) )
        = $true )
      | ( ( member_c @ SV1034 @ SV909 )
        = $true )
      | ( ( member_c @ ( sK91_SY2640 @ SV909 @ SV536 ) @ SV536 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[5483]) ).

thf(5638,plain,
    ! [SV909: set_c,SV536: set_c,SV1023: c] :
      ( ( ( member_c @ SV1023 @ SV536 )
        = $false )
      | ( ( member_c @ SV1023 @ SV909 )
        = $true )
      | ( ( member_c @ ( sK91_SY2640 @ SV909 @ SV536 ) @ SV909 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5484]) ).

thf(5639,plain,
    ! [SV538: set_c,SV767: sum_sum_c_c > $o,SV235: c > sum_sum_c_c,SV966: sum_sum_c_c] :
      ( ( ( ~ ( member_c @ ( sK103_SY2511 @ SV966 @ SV235 @ SV767 @ SV538 ) @ SV538 )
          | ~ ( SV767 @ ( SV235 @ ( sK103_SY2511 @ SV966 @ SV235 @ SV767 @ SV538 ) ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ SV966 @ ( image_c_Sum_sum_c_c @ SV235 @ SV538 ) )
        = $false )
      | ( ( SV767 @ SV966 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5485]) ).

thf(5640,plain,
    ! [SV914: produc190496183real_c,SV548: produc190496183real_c] :
      ( ( ( ~ ( ord_le775706699real_c @ ( produc2010422875real_c @ SV548 ) @ ( produc2010422875real_c @ SV914 ) )
          | ~ ( ord_le775706699real_c @ ( produc314122909real_c @ SV548 ) @ ( produc314122909real_c @ SV914 ) ) )
        = $false )
      | ( ( ord_le775706699real_c @ ( produc2010422875real_c @ SV548 ) @ ( produc2010422875real_c @ SV914 ) )
        = $false )
      | ( ( ord_le775706699real_c @ ( produc314122909real_c @ SV548 ) @ ( produc314122909real_c @ SV914 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5487]) ).

thf(5641,plain,
    ( ( ( denota256060419gree_c @ ( sol @ zero_zero_real ) @ ab
        @ ( collect_c
          @ ^ [SX0: c] :
              ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_BVO_a_c @ oDEa ) )
              | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( static_FVO_a_c @ oDEa ) ) )
              | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_FVF_a_b_c @ phi ) ) ) ) )
      = $false )
    | ( ( ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) )
        = ( denota161327353_a_b_c @ i @ oDEa
          @ ( produc394644079real_c
            @ ( finite557796307c_real
              @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ zero_zero_real ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) )
            @ bb )
          @ ( finite557796307c_real
            @ ^ [SX0: c] : ( if_real @ ( member_c @ SX0 @ ( static_FVO_a_c @ oDEa ) ) @ ( finite772340578real_c @ ( sol @ t ) @ SX0 ) @ ( finite772340578real_c @ ab @ SX0 ) ) ) ) )
      = $true )
    | ( ( initia1631504802real_c @ sol
        @ ^ [SX0: real] : ( denota1275485728_a_b_c @ i @ oDEa )
        @ ( set_or656347191t_real @ zero_zero_real @ t )
        @ ( collec230941376real_c
          @ ^ [SX0: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ SX0 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) )
      = $false )
    | ( ( ( produc394644079real_c @ aa @ ba )
        = ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
      = $false )
    | ( ( ord_less_eq_real @ zero_zero_real @ t )
      = $false )
    | ( ( p = phi )
      = $false )
    | ( ( ode = oDEa )
      = $false )
    | ( ( fsafe_a_b_c @ phi )
      = $false )
    | ( ( osafe_a_c @ oDEa )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5489]) ).

thf(5642,plain,
    ( ( ( denota256060419gree_c @ ( sol @ zero_zero_real ) @ ab
        @ ( collect_c
          @ ^ [SX0: c] :
              ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_BVO_a_c @ oDEa ) )
              | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( image_c_Sum_sum_c_c @ sum_Inl_c_c @ ( static_FVO_a_c @ oDEa ) ) )
              | ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SX0 ) @ ( static_FVF_a_b_c @ phi ) ) ) ) )
      = $false )
    | ( ( ord_less_eq_real @ zero_zero_real @ t )
      = $true )
    | ( ( initia1631504802real_c @ sol
        @ ^ [SX0: real] : ( denota1275485728_a_b_c @ i @ oDEa )
        @ ( set_or656347191t_real @ zero_zero_real @ t )
        @ ( collec230941376real_c
          @ ^ [SX0: finite1398487019real_c] : ( member1895684704real_c @ ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ SX0 ) @ ( denota968303861_a_b_c @ i @ phi ) ) ) )
      = $false )
    | ( ( ( produc394644079real_c @ aa @ ba )
        = ( denota161327353_a_b_c @ i @ oDEa @ ( produc394644079real_c @ ab @ bb ) @ ( sol @ t ) ) )
      = $false )
    | ( ( ord_less_eq_real @ zero_zero_real @ t )
      = $false )
    | ( ( p = phi )
      = $false )
    | ( ( ode = oDEa )
      = $false )
    | ( ( fsafe_a_b_c @ phi )
      = $false )
    | ( ( osafe_a_c @ oDEa )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5490]) ).

thf(5643,plain,
    ! [SV925: real,SV576: real,SV271: real,SV797: real] :
      ( ( ( ord_less_eq_real @ SV797 @ SV271 )
        = $true )
      | ( ( ord_less_eq_real @ SV271 @ SV576 )
        = $false )
      | ( ( ord_less_eq_set_real @ ( set_or656347191t_real @ SV271 @ SV576 ) @ ( set_or656347191t_real @ SV797 @ SV925 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5491]) ).

thf(5644,plain,
    ! [SV797: real,SV271: real,SV925: real,SV576: real] :
      ( ( ( ord_less_eq_real @ SV576 @ SV925 )
        = $true )
      | ( ( ord_less_eq_real @ SV271 @ SV576 )
        = $false )
      | ( ( ord_less_eq_set_real @ ( set_or656347191t_real @ SV271 @ SV576 ) @ ( set_or656347191t_real @ SV797 @ SV925 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5492]) ).

thf(5645,plain,
    ! [SV925: real,SV576: real,SV271: real,SV797: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV797 @ SV271 )
          | ~ ( ord_less_eq_real @ SV576 @ SV925 ) )
        = $false )
      | ( ( ord_less_eq_real @ SV271 @ SV576 )
        = $false )
      | ( ( ord_less_eq_real @ SV271 @ SV576 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5493]) ).

thf(5646,plain,
    ! [SV925: real,SV797: real,SV576: real,SV271: real] :
      ( ( ( ord_less_eq_set_real @ ( set_or656347191t_real @ SV271 @ SV576 ) @ ( set_or656347191t_real @ SV797 @ SV925 ) )
        = $true )
      | ( ( ord_less_eq_real @ SV797 @ SV271 )
        = $false )
      | ( ( ord_less_eq_real @ SV576 @ SV925 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5494]) ).

thf(5647,plain,
    ! [SV925: real,SV797: real,SV576: real,SV271: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV271 @ SV576 )
          | ~ ( ~ ( ord_less_eq_real @ SV797 @ SV271 )
              | ~ ( ord_less_eq_real @ SV576 @ SV925 ) ) )
        = $true )
      | ( ( ord_less_eq_real @ SV797 @ SV271 )
        = $false )
      | ( ( ord_less_eq_real @ SV576 @ SV925 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5495]) ).

thf(5648,plain,
    ! [SV926: set_re2066790124real_c,SV577: set_re2066790124real_c,SV1035: real > finite1398487019real_c] :
      ( ( ( ~ ( member1321351885real_c @ SV1035 @ SV577 ) )
        = $true )
      | ( ( member1321351885real_c @ SV1035 @ SV926 )
        = $true )
      | ( ( member1321351885real_c @ ( sK92_SY2643 @ SV926 @ SV577 ) @ SV577 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[5496]) ).

thf(5649,plain,
    ! [SV926: set_re2066790124real_c,SV577: set_re2066790124real_c,SV1024: real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ SV1024 @ SV577 )
        = $false )
      | ( ( member1321351885real_c @ SV1024 @ SV926 )
        = $true )
      | ( ( member1321351885real_c @ ( sK92_SY2643 @ SV926 @ SV577 ) @ SV926 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5497]) ).

thf(5650,plain,
    ! [SV927: set_Pr1389752855real_c,SV578: set_Pr1389752855real_c,SV1036: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV1036 @ SV578 ) )
        = $true )
      | ( ( member1895684704real_c @ SV1036 @ SV927 )
        = $true )
      | ( ( member1895684704real_c @ ( sK93_SY2644 @ SV927 @ SV578 ) @ SV578 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[5498]) ).

thf(5651,plain,
    ! [SV927: set_Pr1389752855real_c,SV578: set_Pr1389752855real_c,SV1025: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV1025 @ SV578 )
        = $false )
      | ( ( member1895684704real_c @ SV1025 @ SV927 )
        = $true )
      | ( ( member1895684704real_c @ ( sK93_SY2644 @ SV927 @ SV578 ) @ SV927 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5499]) ).

thf(5652,plain,
    ! [SV937: produc957004601l_real,SV606: produc957004601l_real] :
      ( ( ( ~ ( ord_less_eq_real @ ( produc1422991709l_real @ SV606 ) @ ( produc1422991709l_real @ SV937 ) )
          | ~ ( ord_less_eq_real @ ( produc1407670175l_real @ SV606 ) @ ( produc1407670175l_real @ SV937 ) ) )
        = $false )
      | ( ( ord_less_eq_real @ ( produc1422991709l_real @ SV606 ) @ ( produc1422991709l_real @ SV937 ) )
        = $false )
      | ( ( ord_less_eq_real @ ( produc1407670175l_real @ SV606 ) @ ( produc1407670175l_real @ SV937 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5501]) ).

thf(5653,plain,
    ! [SV941: finite1398487019real_c,SV619: finite1398487019real_c,SV831: finite1398487019real_c,SV315: finite1398487019real_c] :
      ( ( ( ~ ( ord_le775706699real_c @ SV315 @ SV831 )
          | ~ ( ord_le775706699real_c @ SV619 @ SV941 ) )
        = $false )
      | ( ( ord_le775706699real_c @ SV315 @ SV831 )
        = $false )
      | ( ( ord_le775706699real_c @ SV619 @ SV941 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5503]) ).

thf(5654,plain,
    ! [SV832: real > set_Fi1407883041real_c,SV316: real > finite1398487019real_c,SV620: set_real,SV1026: real] :
      ( ( ( member_real @ SV1026 @ SV620 )
        = $false )
      | ( ( member1261661570real_c @ ( SV316 @ SV1026 ) @ ( SV832 @ SV1026 ) )
        = $true )
      | ( ( member_real @ ( sK81_SY2577 @ SV832 @ SV316 @ SV620 ) @ SV620 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5504]) ).

thf(5655,plain,
    ! [SV944: produc190496183real_c,SV627: produc190496183real_c] :
      ( ( ( ( ( produc2010422875real_c @ SV627 )
           != ( produc2010422875real_c @ SV944 ) )
          | ( ( produc314122909real_c @ SV627 )
           != ( produc314122909real_c @ SV944 ) ) )
        = $false )
      | ( ( ( produc2010422875real_c @ SV627 )
          = ( produc2010422875real_c @ SV944 ) )
        = $false )
      | ( ( ( produc314122909real_c @ SV627 )
          = ( produc314122909real_c @ SV944 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5507]) ).

thf(5656,plain,
    ! [SV945: set_Pr1389752855real_c,SV628: set_Pr1389752855real_c,SV1037: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV1037 @ SV628 ) )
        = $true )
      | ( ( member1895684704real_c @ SV1037 @ SV945 )
        = $true )
      | ( ( member1895684704real_c @ ( sK95_SY2647 @ SV945 @ SV628 ) @ SV628 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[5508]) ).

thf(5657,plain,
    ! [SV945: set_Pr1389752855real_c,SV628: set_Pr1389752855real_c,SV1027: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV1027 @ SV628 )
        = $false )
      | ( ( member1895684704real_c @ SV1027 @ SV945 )
        = $true )
      | ( ( member1895684704real_c @ ( sK95_SY2647 @ SV945 @ SV628 ) @ SV945 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5509]) ).

thf(5658,plain,
    ! [SV842: set_c,SV327: set_Sum_sum_c_c,SV631: c > sum_sum_c_c] :
      ( ( ( ord_less_eq_set_c @ ( sK101_SY2581 @ SV631 @ SV327 @ SV842 ) @ SV842 )
        = $true )
      | ( ( ord_le1772180283um_c_c @ SV327 @ ( image_c_Sum_sum_c_c @ SV631 @ SV842 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5510]) ).

thf(5659,plain,
    ! [SV842: set_c,SV631: c > sum_sum_c_c,SV327: set_Sum_sum_c_c] :
      ( ( ( SV327
          = ( image_c_Sum_sum_c_c @ SV631 @ ( sK101_SY2581 @ SV631 @ SV327 @ SV842 ) ) )
        = $true )
      | ( ( ord_le1772180283um_c_c @ SV327 @ ( image_c_Sum_sum_c_c @ SV631 @ SV842 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5511]) ).

thf(5660,plain,
    ! [SV979: set_c,SV842: set_c,SV631: c > sum_sum_c_c,SV327: set_Sum_sum_c_c] :
      ( ( ( ~ ( ord_le1772180283um_c_c @ SV327 @ ( image_c_Sum_sum_c_c @ SV631 @ SV842 ) ) )
        = $false )
      | ( ( ord_less_eq_set_c @ SV979 @ SV842 )
        = $false )
      | ( ( SV327
          = ( image_c_Sum_sum_c_c @ SV631 @ SV979 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5512]) ).

thf(5661,plain,
    ! [SV979: set_c,SV631: c > sum_sum_c_c,SV327: set_Sum_sum_c_c,SV842: set_c] :
      ( ( ( ~ ~ ! [SY2581: set_c] :
                  ~ ~ ( ~ ( ord_less_eq_set_c @ SY2581 @ SV842 )
                      | ( SV327
                       != ( image_c_Sum_sum_c_c @ SV631 @ SY2581 ) ) ) )
        = $false )
      | ( ( ord_less_eq_set_c @ SV979 @ SV842 )
        = $false )
      | ( ( SV327
          = ( image_c_Sum_sum_c_c @ SV631 @ SV979 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5512]) ).

thf(5662,plain,
    ! [SV633: set_c,SV844: sum_sum_c_d > $o,SV329: c > sum_sum_c_d,SV968: sum_sum_c_d] :
      ( ( ( ~ ( member_c @ ( sK104_SY2585 @ SV968 @ SV329 @ SV844 @ SV633 ) @ SV633 )
          | ~ ( SV844 @ ( SV329 @ ( sK104_SY2585 @ SV968 @ SV329 @ SV844 @ SV633 ) ) ) )
        = $false )
      | ( ( member_Sum_sum_c_d @ SV968 @ ( image_c_Sum_sum_c_d @ SV329 @ SV633 ) )
        = $false )
      | ( ( SV844 @ SV968 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5513]) ).

thf(5663,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ ( equiv_a_b_c @ SV645 @ SV855 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5514]) ).

thf(5664,plain,
    ! [SV645: formula_a_b_c,SV855: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ ( equiv_a_b_c @ SV645 @ SV855 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5514]) ).

thf(5665,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ ( equiv_a_b_c @ SV645 @ SV855 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5515]) ).

thf(5666,plain,
    ! [SV645: formula_a_b_c,SV855: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ ( equiv_a_b_c @ SV645 @ SV855 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5515]) ).

thf(5667,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ~ ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
              | ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
              | ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[5516]) ).

thf(5668,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ ( equiv_a_b_c @ SV645 @ SV855 ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5518]) ).

thf(5669,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
          = ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5519]) ).

thf(5670,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
          | ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $false )
      | ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
          = ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5520]) ).

thf(5671,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
          | ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $false )
      | ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
          = ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5521]) ).

thf(5672,plain,
    ! [SV865: finite1398487019real_c,SV412: finite1398487019real_c,SV666: finite1398487019real_c,SV107: finite1398487019real_c] :
      ( ( ( SV107 != SV666 )
        = $false )
      | ( ( SV107 = SV666 )
        = $false )
      | ( ( SV412 = SV865 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5570]) ).

thf(5673,plain,
    ! [SV666: finite1398487019real_c,SV107: finite1398487019real_c,SV865: finite1398487019real_c,SV412: finite1398487019real_c] :
      ( ( ( SV412 != SV865 )
        = $false )
      | ( ( SV107 = SV666 )
        = $false )
      | ( ( SV412 = SV865 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5570]) ).

thf(5674,plain,
    ! [SV973: set_c,SV668: set_c,SV414: c > sum_sum_c_d,SV109: set_Sum_sum_c_d] :
      ( ( ( ord_le764260924um_c_d @ SV109 @ ( image_c_Sum_sum_c_d @ SV414 @ SV668 ) )
        = $true )
      | ( ( ord_less_eq_set_c @ SV973 @ SV668 )
        = $false )
      | ( ( SV109
          = ( image_c_Sum_sum_c_d @ SV414 @ SV973 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5573]) ).

thf(5675,plain,
    ! [SV973: set_c,SV414: c > sum_sum_c_d,SV109: set_Sum_sum_c_d,SV668: set_c] :
      ( ( ( ~ ! [SY2402: set_c] :
                ~ ~ ( ~ ( ord_less_eq_set_c @ SY2402 @ SV668 )
                    | ( SV109
                     != ( image_c_Sum_sum_c_d @ SV414 @ SY2402 ) ) ) )
        = $true )
      | ( ( ord_less_eq_set_c @ SV973 @ SV668 )
        = $false )
      | ( ( SV109
          = ( image_c_Sum_sum_c_d @ SV414 @ SV973 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5574]) ).

thf(5676,plain,
    ! [SV670: produc190496183real_c,SV112: produc190496183real_c,SV417: produc190496183real_c] :
      ( ( ( ord_le850691415real_c @ SV417 @ SV112 )
        = $true )
      | ( ( ord_le850691415real_c @ SV417 @ SV112 )
        = $false )
      | ( ( ord_le850691415real_c @ SV112 @ SV670 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5576]) ).

thf(5677,plain,
    ! [SV417: produc190496183real_c,SV670: produc190496183real_c,SV112: produc190496183real_c] :
      ( ( ( ord_le850691415real_c @ SV112 @ SV670 )
        = $true )
      | ( ( ord_le850691415real_c @ SV417 @ SV112 )
        = $false )
      | ( ( ord_le850691415real_c @ SV112 @ SV670 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5577]) ).

thf(5678,plain,
    ! [SV974: c,SV672: set_c,SV420: c > sum_sum_c_d,SV115: sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ SV115 @ ( image_c_Sum_sum_c_d @ SV420 @ SV672 ) )
        = $true )
      | ( ( member_c @ SV974 @ SV672 )
        = $false )
      | ( ( SV115
          = ( SV420 @ SV974 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5580]) ).

thf(5679,plain,
    ! [SV974: c,SV420: c > sum_sum_c_d,SV115: sum_sum_c_d,SV672: set_c] :
      ( ( ( ~ ! [SY2406: c] :
                ~ ~ ( ~ ( member_c @ SY2406 @ SV672 )
                    | ( SV115
                     != ( SV420 @ SY2406 ) ) ) )
        = $true )
      | ( ( member_c @ SV974 @ SV672 )
        = $false )
      | ( ( SV115
          = ( SV420 @ SV974 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5581]) ).

thf(5680,plain,
    ! [SV674: real,SV117: real,SV422: real] :
      ( ( ( ord_less_eq_real @ SV422 @ SV117 )
        = $true )
      | ( ( ord_less_eq_real @ SV422 @ SV117 )
        = $false )
      | ( ( ord_less_eq_real @ SV117 @ SV674 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5582]) ).

thf(5681,plain,
    ! [SV422: real,SV674: real,SV117: real] :
      ( ( ( ord_less_eq_real @ SV117 @ SV674 )
        = $true )
      | ( ( ord_less_eq_real @ SV422 @ SV117 )
        = $false )
      | ( ( ord_less_eq_real @ SV117 @ SV674 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5583]) ).

thf(5682,plain,
    ! [SV868: finite1398487019real_c,SV424: finite1398487019real_c,SV961: set_c,SV1039: c] :
      ( ( ( ~ ( member_c @ SV1039 @ SV961 )
          | ( ( finite772340578real_c @ SV424 @ SV1039 )
            = ( finite772340578real_c @ SV868 @ SV1039 ) ) )
        = $true )
      | ( ( member_c @ ( sK97_SY2672 @ SV868 @ SV424 @ SV961 ) @ SV961 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[5586]) ).

thf(5683,plain,
    ! [SV868: finite1398487019real_c,SV424: finite1398487019real_c,SV961: set_c,SV1038: c] :
      ( ( ( ~ ( member_c @ SV1038 @ SV961 ) )
        = $true )
      | ( ( ( finite772340578real_c @ SV424 @ SV1038 )
          = ( finite772340578real_c @ SV868 @ SV1038 ) )
        = $true )
      | ( ( ( finite772340578real_c @ SV424 @ ( sK97_SY2672 @ SV868 @ SV424 @ SV961 ) )
          = ( finite772340578real_c @ SV868 @ ( sK97_SY2672 @ SV868 @ SV424 @ SV961 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5587]) ).

thf(5684,plain,
    ! [SV869: set_Sum_sum_c_d,SV430: set_Sum_sum_c_d,SV1028: sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ SV1028 @ SV430 )
        = $false )
      | ( ( member_Sum_sum_c_d @ SV1028 @ SV869 )
        = $true )
      | ( ( member_Sum_sum_c_d @ ( sK84_SY2624 @ SV869 @ SV430 ) @ SV430 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5588]) ).

thf(5685,plain,
    ! [SV871: set_re2066790124real_c,SV437: set_re2066790124real_c,SV1029: real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ SV1029 @ SV437 )
        = $false )
      | ( ( member1321351885real_c @ SV1029 @ SV871 )
        = $true )
      | ( ( member1321351885real_c @ ( sK85_SY2625 @ SV871 @ SV437 ) @ SV437 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5590]) ).

thf(5686,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[5597]) ).

thf(5687,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5599]) ).

thf(5688,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
              | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5599]) ).

thf(5689,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          = ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5600]) ).

thf(5690,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
                  | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
              | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
                  | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5601]) ).

thf(5691,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          | ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          = ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5602]) ).

thf(5692,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          | ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          = ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5603]) ).

thf(5693,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true )
      | ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          = ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5604]) ).

thf(5694,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          = ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5605]) ).

thf(5695,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
           != ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
          | ~ ~ ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
                    | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
                | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
                    | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5606]) ).

thf(5696,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
         != ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5607]) ).

thf(5697,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ~ ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
                    | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
                | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
                    | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5607]) ).

thf(5698,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
         != ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5608]) ).

thf(5699,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ~ ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
                    | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
                | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
                    | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5608]) ).

thf(5700,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          = ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5609]) ).

thf(5701,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
                  | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
              | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
                  | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5610]) ).

thf(5702,plain,
    ! [SV883: real,SV708: real,SV467: real,SV163: real] :
      ( ( ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 ) )
        = $false )
      | ( ( SV163 = SV708 )
        = $true )
      | ( ( ( set_or656347191t_real @ SV163 @ SV467 )
          = ( set_or656347191t_real @ SV708 @ SV883 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5612]) ).

thf(5703,plain,
    ! [SV467: real,SV163: real,SV883: real,SV708: real] :
      ( ( ( ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) )
        = $false )
      | ( ( SV163 = SV708 )
        = $true )
      | ( ( ( set_or656347191t_real @ SV163 @ SV467 )
          = ( set_or656347191t_real @ SV708 @ SV883 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5612]) ).

thf(5704,plain,
    ! [SV708: real,SV883: real,SV467: real,SV163: real] :
      ( ( ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 ) )
        = $false )
      | ( ( SV467 = SV883 )
        = $true )
      | ( ( ( set_or656347191t_real @ SV163 @ SV467 )
          = ( set_or656347191t_real @ SV708 @ SV883 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5613]) ).

thf(5705,plain,
    ! [SV163: real,SV467: real,SV883: real,SV708: real] :
      ( ( ( ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) )
        = $false )
      | ( ( SV467 = SV883 )
        = $true )
      | ( ( ( set_or656347191t_real @ SV163 @ SV467 )
          = ( set_or656347191t_real @ SV708 @ SV883 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5613]) ).

thf(5706,plain,
    ! [SV883: real,SV467: real,SV708: real,SV163: real] :
      ( ( ( ~ ( ( SV163 != SV708 )
              | ( SV467 != SV883 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 )
              | ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) ) )
        = $true )
      | ( ( SV163 = SV708 )
        = $false )
      | ( ( SV467 = SV883 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5615]) ).

thf(5707,plain,
    ! [SV883: real,SV708: real,SV467: real,SV163: real] :
      ( ( ( ( set_or656347191t_real @ SV163 @ SV467 )
         != ( set_or656347191t_real @ SV708 @ SV883 ) )
        = $false )
      | ( ( ord_less_eq_real @ SV163 @ SV467 )
        = $true )
      | ( ( ord_less_eq_real @ SV708 @ SV883 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5616]) ).

thf(5708,plain,
    ! [SV883: real,SV467: real,SV708: real,SV163: real] :
      ( ( ( ~ ( ~ ( ( SV163 != SV708 )
                  | ( SV467 != SV883 ) )
              | ~ ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 )
                  | ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) ) ) )
        = $false )
      | ( ( ord_less_eq_real @ SV163 @ SV467 )
        = $true )
      | ( ( ord_less_eq_real @ SV708 @ SV883 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5616]) ).

thf(5709,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c,SV1040: c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SV1040 ) @ SV962 )
          | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SV1040 )
            = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SV1040 ) ) )
        = $true )
      | ( ( denota1997846518gree_c @ SV481 @ SV886 @ SV962 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[5617]) ).

thf(5710,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c,SV1041: c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SV1041 ) @ SV962 )
          | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SV1041 )
            = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SV1041 ) ) )
        = $true )
      | ( ( denota1997846518gree_c @ SV481 @ SV886 @ SV962 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[5618]) ).

thf(5711,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c] :
      ( ( ( ! [SY2674: c] :
              ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
              | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true )
      | ( ( ~ ( ~ ( denota1997846518gree_c @ SV481 @ SV886 @ SV962 )
              | ~ ~ ( ~ ! [SY2673: c] :
                          ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2673 ) @ SV962 )
                          | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2673 )
                            = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2673 ) ) )
                    | ~ ! [SY2674: c] :
                          ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
                          | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                            = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5619]) ).

thf(5712,plain,
    ! [SV962: set_Sum_sum_c_c,SV481: produc190496183real_c,SV886: produc190496183real_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ ( sK105_SY2674 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
          | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ ( sK105_SY2674 @ SV886 @ SV481 @ SV962 ) )
            = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ ( sK105_SY2674 @ SV886 @ SV481 @ SV962 ) ) ) )
        = $false )
      | ( ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) )
        = $false )
      | ( ( ~ ( ~ ( denota1997846518gree_c @ SV481 @ SV886 @ SV962 )
              | ~ ~ ( ~ ! [SY2673: c] :
                          ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2673 ) @ SV962 )
                          | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2673 )
                            = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2673 ) ) )
                    | ~ ! [SY2674: c] :
                          ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
                          | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                            = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[5620]) ).

thf(5713,plain,
    ! [SV887: finite1398487019real_c,SV487: finite1398487019real_c,SV724: finite1398487019real_c,SV184: finite1398487019real_c] :
      ( ( ( SV184 != SV724 )
        = $false )
      | ( ( SV184 = SV724 )
        = $false )
      | ( ( SV487 = SV887 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5621]) ).

thf(5714,plain,
    ! [SV724: finite1398487019real_c,SV184: finite1398487019real_c,SV887: finite1398487019real_c,SV487: finite1398487019real_c] :
      ( ( ( SV487 != SV887 )
        = $false )
      | ( ( SV184 = SV724 )
        = $false )
      | ( ( SV487 = SV887 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5621]) ).

thf(5715,plain,
    ! [SV889: set_Sum_sum_c_c,SV494: set_Sum_sum_c_c,SV1030: sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ SV1030 @ SV494 )
        = $false )
      | ( ( member_Sum_sum_c_c @ SV1030 @ SV889 )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sK86_SY2635 @ SV889 @ SV494 ) @ SV494 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5622]) ).

thf(5716,plain,
    ! [SV892: set_Sum_sum_c_c,SV501: set_Sum_sum_c_c,SV1031: sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ SV1031 @ SV501 )
        = $false )
      | ( ( member_Sum_sum_c_c @ SV1031 @ SV892 )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sK87_SY2636 @ SV892 @ SV501 ) @ SV501 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5624]) ).

thf(5717,plain,
    ! [SV899: set_c,SV514: set_c,SV1032: c] :
      ( ( ( member_c @ SV1032 @ SV514 )
        = $false )
      | ( ( member_c @ SV1032 @ SV899 )
        = $true )
      | ( ( member_c @ ( sK88_SY2637 @ SV899 @ SV514 ) @ SV514 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5626]) ).

thf(5718,plain,
    ! [SV745: real > finite1398487019real_c,SV212: real > finite1398487019real_c,SV515: real > finite1398487019real_c] :
      ( ( ( ord_le584953750real_c @ SV515 @ SV212 )
        = $true )
      | ( ( ord_le584953750real_c @ SV515 @ SV212 )
        = $false )
      | ( ( ord_le584953750real_c @ SV212 @ SV745 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5628]) ).

thf(5719,plain,
    ! [SV515: real > finite1398487019real_c,SV745: real > finite1398487019real_c,SV212: real > finite1398487019real_c] :
      ( ( ( ord_le584953750real_c @ SV212 @ SV745 )
        = $true )
      | ( ( ord_le584953750real_c @ SV515 @ SV212 )
        = $false )
      | ( ( ord_le584953750real_c @ SV212 @ SV745 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5629]) ).

thf(5720,plain,
    ! [SV977: c,SV747: set_c,SV517: c > sum_sum_c_c,SV214: sum_sum_c_c] :
      ( ( ( member_Sum_sum_c_c @ SV214 @ ( image_c_Sum_sum_c_c @ SV517 @ SV747 ) )
        = $true )
      | ( ( member_c @ SV977 @ SV747 )
        = $false )
      | ( ( SV214
          = ( SV517 @ SV977 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5632]) ).

thf(5721,plain,
    ! [SV977: c,SV517: c > sum_sum_c_c,SV214: sum_sum_c_c,SV747: set_c] :
      ( ( ( ~ ! [SY2491: c] :
                ~ ~ ( ~ ( member_c @ SY2491 @ SV747 )
                    | ( SV214
                     != ( SV517 @ SY2491 ) ) ) )
        = $true )
      | ( ( member_c @ SV977 @ SV747 )
        = $false )
      | ( ( SV214
          = ( SV517 @ SV977 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5633]) ).

thf(5722,plain,
    ! [SV906: real,SV530: real,SV760: real,SV227: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV227 @ SV760 ) )
        = $false )
      | ( ( ord_less_eq_real @ SV227 @ SV760 )
        = $false )
      | ( ( ord_less_eq_real @ SV530 @ SV906 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5634]) ).

thf(5723,plain,
    ! [SV760: real,SV227: real,SV906: real,SV530: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV530 @ SV906 ) )
        = $false )
      | ( ( ord_less_eq_real @ SV227 @ SV760 )
        = $false )
      | ( ( ord_less_eq_real @ SV530 @ SV906 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5634]) ).

thf(5724,plain,
    ! [SV908: set_Sum_sum_c_d,SV534: set_Sum_sum_c_d,SV1033: sum_sum_c_d] :
      ( ( ( member_Sum_sum_c_d @ SV1033 @ SV534 )
        = $false )
      | ( ( member_Sum_sum_c_d @ SV1033 @ SV908 )
        = $true )
      | ( ( member_Sum_sum_c_d @ ( sK90_SY2639 @ SV908 @ SV534 ) @ SV534 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5635]) ).

thf(5725,plain,
    ! [SV909: set_c,SV536: set_c,SV1034: c] :
      ( ( ( member_c @ SV1034 @ SV536 )
        = $false )
      | ( ( member_c @ SV1034 @ SV909 )
        = $true )
      | ( ( member_c @ ( sK91_SY2640 @ SV909 @ SV536 ) @ SV536 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5637]) ).

thf(5726,plain,
    ! [SV538: set_c,SV767: sum_sum_c_c > $o,SV235: c > sum_sum_c_c,SV966: sum_sum_c_c] :
      ( ( ( ~ ( member_c @ ( sK103_SY2511 @ SV966 @ SV235 @ SV767 @ SV538 ) @ SV538 ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ SV966 @ ( image_c_Sum_sum_c_c @ SV235 @ SV538 ) )
        = $false )
      | ( ( SV767 @ SV966 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5639]) ).

thf(5727,plain,
    ! [SV538: set_c,SV966: sum_sum_c_c,SV235: c > sum_sum_c_c,SV767: sum_sum_c_c > $o] :
      ( ( ( ~ ( SV767 @ ( SV235 @ ( sK103_SY2511 @ SV966 @ SV235 @ SV767 @ SV538 ) ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ SV966 @ ( image_c_Sum_sum_c_c @ SV235 @ SV538 ) )
        = $false )
      | ( ( SV767 @ SV966 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5639]) ).

thf(5728,plain,
    ! [SV914: produc190496183real_c,SV548: produc190496183real_c] :
      ( ( ( ~ ( ord_le775706699real_c @ ( produc2010422875real_c @ SV548 ) @ ( produc2010422875real_c @ SV914 ) ) )
        = $false )
      | ( ( ord_le775706699real_c @ ( produc2010422875real_c @ SV548 ) @ ( produc2010422875real_c @ SV914 ) )
        = $false )
      | ( ( ord_le775706699real_c @ ( produc314122909real_c @ SV548 ) @ ( produc314122909real_c @ SV914 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5640]) ).

thf(5729,plain,
    ! [SV914: produc190496183real_c,SV548: produc190496183real_c] :
      ( ( ( ~ ( ord_le775706699real_c @ ( produc314122909real_c @ SV548 ) @ ( produc314122909real_c @ SV914 ) ) )
        = $false )
      | ( ( ord_le775706699real_c @ ( produc2010422875real_c @ SV548 ) @ ( produc2010422875real_c @ SV914 ) )
        = $false )
      | ( ( ord_le775706699real_c @ ( produc314122909real_c @ SV548 ) @ ( produc314122909real_c @ SV914 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5640]) ).

thf(5730,plain,
    ! [SV576: real,SV271: real,SV797: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV797 @ SV271 ) )
        = $false )
      | ( ( ord_less_eq_real @ SV271 @ SV576 )
        = $false )
      | ( ( ord_less_eq_real @ SV271 @ SV576 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5645]) ).

thf(5731,plain,
    ! [SV271: real,SV925: real,SV576: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV576 @ SV925 ) )
        = $false )
      | ( ( ord_less_eq_real @ SV271 @ SV576 )
        = $false )
      | ( ( ord_less_eq_real @ SV271 @ SV576 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5645]) ).

thf(5732,plain,
    ! [SV925: real,SV797: real,SV576: real,SV271: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV271 @ SV576 ) )
        = $true )
      | ( ( ~ ( ~ ( ord_less_eq_real @ SV797 @ SV271 )
              | ~ ( ord_less_eq_real @ SV576 @ SV925 ) ) )
        = $true )
      | ( ( ord_less_eq_real @ SV797 @ SV271 )
        = $false )
      | ( ( ord_less_eq_real @ SV576 @ SV925 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5647]) ).

thf(5733,plain,
    ! [SV926: set_re2066790124real_c,SV577: set_re2066790124real_c,SV1035: real > finite1398487019real_c] :
      ( ( ( member1321351885real_c @ SV1035 @ SV577 )
        = $false )
      | ( ( member1321351885real_c @ SV1035 @ SV926 )
        = $true )
      | ( ( member1321351885real_c @ ( sK92_SY2643 @ SV926 @ SV577 ) @ SV577 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5648]) ).

thf(5734,plain,
    ! [SV927: set_Pr1389752855real_c,SV578: set_Pr1389752855real_c,SV1036: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV1036 @ SV578 )
        = $false )
      | ( ( member1895684704real_c @ SV1036 @ SV927 )
        = $true )
      | ( ( member1895684704real_c @ ( sK93_SY2644 @ SV927 @ SV578 ) @ SV578 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5650]) ).

thf(5735,plain,
    ! [SV937: produc957004601l_real,SV606: produc957004601l_real] :
      ( ( ( ~ ( ord_less_eq_real @ ( produc1422991709l_real @ SV606 ) @ ( produc1422991709l_real @ SV937 ) ) )
        = $false )
      | ( ( ord_less_eq_real @ ( produc1422991709l_real @ SV606 ) @ ( produc1422991709l_real @ SV937 ) )
        = $false )
      | ( ( ord_less_eq_real @ ( produc1407670175l_real @ SV606 ) @ ( produc1407670175l_real @ SV937 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5652]) ).

thf(5736,plain,
    ! [SV937: produc957004601l_real,SV606: produc957004601l_real] :
      ( ( ( ~ ( ord_less_eq_real @ ( produc1407670175l_real @ SV606 ) @ ( produc1407670175l_real @ SV937 ) ) )
        = $false )
      | ( ( ord_less_eq_real @ ( produc1422991709l_real @ SV606 ) @ ( produc1422991709l_real @ SV937 ) )
        = $false )
      | ( ( ord_less_eq_real @ ( produc1407670175l_real @ SV606 ) @ ( produc1407670175l_real @ SV937 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5652]) ).

thf(5737,plain,
    ! [SV941: finite1398487019real_c,SV619: finite1398487019real_c,SV831: finite1398487019real_c,SV315: finite1398487019real_c] :
      ( ( ( ~ ( ord_le775706699real_c @ SV315 @ SV831 ) )
        = $false )
      | ( ( ord_le775706699real_c @ SV315 @ SV831 )
        = $false )
      | ( ( ord_le775706699real_c @ SV619 @ SV941 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5653]) ).

thf(5738,plain,
    ! [SV831: finite1398487019real_c,SV315: finite1398487019real_c,SV941: finite1398487019real_c,SV619: finite1398487019real_c] :
      ( ( ( ~ ( ord_le775706699real_c @ SV619 @ SV941 ) )
        = $false )
      | ( ( ord_le775706699real_c @ SV315 @ SV831 )
        = $false )
      | ( ( ord_le775706699real_c @ SV619 @ SV941 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5653]) ).

thf(5739,plain,
    ! [SV944: produc190496183real_c,SV627: produc190496183real_c] :
      ( ( ( ( produc2010422875real_c @ SV627 )
         != ( produc2010422875real_c @ SV944 ) )
        = $false )
      | ( ( ( produc2010422875real_c @ SV627 )
          = ( produc2010422875real_c @ SV944 ) )
        = $false )
      | ( ( ( produc314122909real_c @ SV627 )
          = ( produc314122909real_c @ SV944 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5655]) ).

thf(5740,plain,
    ! [SV944: produc190496183real_c,SV627: produc190496183real_c] :
      ( ( ( ( produc314122909real_c @ SV627 )
         != ( produc314122909real_c @ SV944 ) )
        = $false )
      | ( ( ( produc2010422875real_c @ SV627 )
          = ( produc2010422875real_c @ SV944 ) )
        = $false )
      | ( ( ( produc314122909real_c @ SV627 )
          = ( produc314122909real_c @ SV944 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5655]) ).

thf(5741,plain,
    ! [SV945: set_Pr1389752855real_c,SV628: set_Pr1389752855real_c,SV1037: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV1037 @ SV628 )
        = $false )
      | ( ( member1895684704real_c @ SV1037 @ SV945 )
        = $true )
      | ( ( member1895684704real_c @ ( sK95_SY2647 @ SV945 @ SV628 ) @ SV628 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5656]) ).

thf(5742,plain,
    ! [SV979: set_c,SV842: set_c,SV631: c > sum_sum_c_c,SV327: set_Sum_sum_c_c] :
      ( ( ( ord_le1772180283um_c_c @ SV327 @ ( image_c_Sum_sum_c_c @ SV631 @ SV842 ) )
        = $true )
      | ( ( ord_less_eq_set_c @ SV979 @ SV842 )
        = $false )
      | ( ( SV327
          = ( image_c_Sum_sum_c_c @ SV631 @ SV979 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5660]) ).

thf(5743,plain,
    ! [SV979: set_c,SV631: c > sum_sum_c_c,SV327: set_Sum_sum_c_c,SV842: set_c] :
      ( ( ( ~ ! [SY2581: set_c] :
                ~ ~ ( ~ ( ord_less_eq_set_c @ SY2581 @ SV842 )
                    | ( SV327
                     != ( image_c_Sum_sum_c_c @ SV631 @ SY2581 ) ) ) )
        = $true )
      | ( ( ord_less_eq_set_c @ SV979 @ SV842 )
        = $false )
      | ( ( SV327
          = ( image_c_Sum_sum_c_c @ SV631 @ SV979 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5661]) ).

thf(5744,plain,
    ! [SV633: set_c,SV844: sum_sum_c_d > $o,SV329: c > sum_sum_c_d,SV968: sum_sum_c_d] :
      ( ( ( ~ ( member_c @ ( sK104_SY2585 @ SV968 @ SV329 @ SV844 @ SV633 ) @ SV633 ) )
        = $false )
      | ( ( member_Sum_sum_c_d @ SV968 @ ( image_c_Sum_sum_c_d @ SV329 @ SV633 ) )
        = $false )
      | ( ( SV844 @ SV968 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5662]) ).

thf(5745,plain,
    ! [SV633: set_c,SV968: sum_sum_c_d,SV329: c > sum_sum_c_d,SV844: sum_sum_c_d > $o] :
      ( ( ( ~ ( SV844 @ ( SV329 @ ( sK104_SY2585 @ SV968 @ SV329 @ SV844 @ SV633 ) ) ) )
        = $false )
      | ( ( member_Sum_sum_c_d @ SV968 @ ( image_c_Sum_sum_c_d @ SV329 @ SV633 ) )
        = $false )
      | ( ( SV844 @ SV968 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5662]) ).

thf(5746,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ ( equiv_a_b_c @ SV645 @ SV855 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5663]) ).

thf(5747,plain,
    ! [SV645: formula_a_b_c,SV855: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ ( equiv_a_b_c @ SV645 @ SV855 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5664]) ).

thf(5748,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ ( equiv_a_b_c @ SV645 @ SV855 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5665]) ).

thf(5749,plain,
    ! [SV645: formula_a_b_c,SV855: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ ( equiv_a_b_c @ SV645 @ SV855 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5666]) ).

thf(5750,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
          | ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
        = $false )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
              | ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5667]) ).

thf(5751,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ~ ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
              | ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
          | ~ ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
              | ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[5669]) ).

thf(5752,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
          = ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[5669]) ).

thf(5753,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $false )
      | ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
          = ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5670]) ).

thf(5754,plain,
    ! [SV645: formula_a_b_c,SV855: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $false )
      | ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
          = ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5670]) ).

thf(5755,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $false )
      | ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
          = ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5671]) ).

thf(5756,plain,
    ! [SV645: formula_a_b_c,SV855: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $false )
      | ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
          = ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5671]) ).

thf(5757,plain,
    ! [SV865: finite1398487019real_c,SV412: finite1398487019real_c,SV666: finite1398487019real_c,SV107: finite1398487019real_c] :
      ( ( ( SV107 = SV666 )
        = $true )
      | ( ( SV107 = SV666 )
        = $false )
      | ( ( SV412 = SV865 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5672]) ).

thf(5758,plain,
    ! [SV666: finite1398487019real_c,SV107: finite1398487019real_c,SV865: finite1398487019real_c,SV412: finite1398487019real_c] :
      ( ( ( SV412 = SV865 )
        = $true )
      | ( ( SV107 = SV666 )
        = $false )
      | ( ( SV412 = SV865 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5673]) ).

thf(5759,plain,
    ! [SV973: set_c,SV414: c > sum_sum_c_d,SV109: set_Sum_sum_c_d,SV668: set_c] :
      ( ( ( ! [SY2402: set_c] :
              ~ ~ ( ~ ( ord_less_eq_set_c @ SY2402 @ SV668 )
                  | ( SV109
                   != ( image_c_Sum_sum_c_d @ SV414 @ SY2402 ) ) ) )
        = $false )
      | ( ( ord_less_eq_set_c @ SV973 @ SV668 )
        = $false )
      | ( ( SV109
          = ( image_c_Sum_sum_c_d @ SV414 @ SV973 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5675]) ).

thf(5760,plain,
    ! [SV974: c,SV420: c > sum_sum_c_d,SV115: sum_sum_c_d,SV672: set_c] :
      ( ( ( ! [SY2406: c] :
              ~ ~ ( ~ ( member_c @ SY2406 @ SV672 )
                  | ( SV115
                   != ( SV420 @ SY2406 ) ) ) )
        = $false )
      | ( ( member_c @ SV974 @ SV672 )
        = $false )
      | ( ( SV115
          = ( SV420 @ SV974 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5679]) ).

thf(5761,plain,
    ! [SV868: finite1398487019real_c,SV424: finite1398487019real_c,SV961: set_c,SV1039: c] :
      ( ( ( ~ ( member_c @ SV1039 @ SV961 ) )
        = $true )
      | ( ( ( finite772340578real_c @ SV424 @ SV1039 )
          = ( finite772340578real_c @ SV868 @ SV1039 ) )
        = $true )
      | ( ( member_c @ ( sK97_SY2672 @ SV868 @ SV424 @ SV961 ) @ SV961 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[5682]) ).

thf(5762,plain,
    ! [SV868: finite1398487019real_c,SV424: finite1398487019real_c,SV961: set_c,SV1038: c] :
      ( ( ( member_c @ SV1038 @ SV961 )
        = $false )
      | ( ( ( finite772340578real_c @ SV424 @ SV1038 )
          = ( finite772340578real_c @ SV868 @ SV1038 ) )
        = $true )
      | ( ( ( finite772340578real_c @ SV424 @ ( sK97_SY2672 @ SV868 @ SV424 @ SV961 ) )
          = ( finite772340578real_c @ SV868 @ ( sK97_SY2672 @ SV868 @ SV424 @ SV961 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5683]) ).

thf(5763,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5686]) ).

thf(5764,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5687]) ).

thf(5765,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
          | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5688]) ).

thf(5766,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
          | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[5689]) ).

thf(5767,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          = ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[5689]) ).

thf(5768,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
          | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
              | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5690]) ).

thf(5769,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          = ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5691]) ).

thf(5770,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          = ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5691]) ).

thf(5771,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          = ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5692]) ).

thf(5772,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          = ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5692]) ).

thf(5773,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
         != ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5695]) ).

thf(5774,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ~ ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
                    | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
                | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
                    | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5695]) ).

thf(5775,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          = ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5696]) ).

thf(5776,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
                  | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
              | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
                  | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5697]) ).

thf(5777,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          = ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5698]) ).

thf(5778,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
                  | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
              | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
                  | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5699]) ).

thf(5779,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
          | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[5700]) ).

thf(5780,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          = ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[5700]) ).

thf(5781,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
          | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
              | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5701]) ).

thf(5782,plain,
    ! [SV883: real,SV708: real,SV467: real,SV163: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV163 @ SV467 ) )
        = $true )
      | ( ( SV163 = SV708 )
        = $true )
      | ( ( ( set_or656347191t_real @ SV163 @ SV467 )
          = ( set_or656347191t_real @ SV708 @ SV883 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5702]) ).

thf(5783,plain,
    ! [SV467: real,SV163: real,SV883: real,SV708: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV708 @ SV883 ) )
        = $true )
      | ( ( SV163 = SV708 )
        = $true )
      | ( ( ( set_or656347191t_real @ SV163 @ SV467 )
          = ( set_or656347191t_real @ SV708 @ SV883 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5703]) ).

thf(5784,plain,
    ! [SV708: real,SV883: real,SV467: real,SV163: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV163 @ SV467 ) )
        = $true )
      | ( ( SV467 = SV883 )
        = $true )
      | ( ( ( set_or656347191t_real @ SV163 @ SV467 )
          = ( set_or656347191t_real @ SV708 @ SV883 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5704]) ).

thf(5785,plain,
    ! [SV163: real,SV467: real,SV883: real,SV708: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV708 @ SV883 ) )
        = $true )
      | ( ( SV467 = SV883 )
        = $true )
      | ( ( ( set_or656347191t_real @ SV163 @ SV467 )
          = ( set_or656347191t_real @ SV708 @ SV883 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5705]) ).

thf(5786,plain,
    ! [SV883: real,SV467: real,SV708: real,SV163: real] :
      ( ( ( ( SV163 != SV708 )
          | ( SV467 != SV883 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 )
              | ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) ) )
        = $true )
      | ( ( SV163 = SV708 )
        = $false )
      | ( ( SV467 = SV883 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5706]) ).

thf(5787,plain,
    ! [SV883: real,SV708: real,SV467: real,SV163: real] :
      ( ( ( ( set_or656347191t_real @ SV163 @ SV467 )
          = ( set_or656347191t_real @ SV708 @ SV883 ) )
        = $true )
      | ( ( ord_less_eq_real @ SV163 @ SV467 )
        = $true )
      | ( ( ord_less_eq_real @ SV708 @ SV883 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5707]) ).

thf(5788,plain,
    ! [SV883: real,SV467: real,SV708: real,SV163: real] :
      ( ( ( ~ ( ( SV163 != SV708 )
              | ( SV467 != SV883 ) )
          | ~ ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 )
              | ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) ) )
        = $true )
      | ( ( ord_less_eq_real @ SV163 @ SV467 )
        = $true )
      | ( ( ord_less_eq_real @ SV708 @ SV883 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5708]) ).

thf(5789,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c,SV1040: c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SV1040 ) @ SV962 ) )
        = $true )
      | ( ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SV1040 )
          = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SV1040 ) )
        = $true )
      | ( ( denota1997846518gree_c @ SV481 @ SV886 @ SV962 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5709]) ).

thf(5790,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c,SV1041: c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SV1041 ) @ SV962 ) )
        = $true )
      | ( ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SV1041 )
          = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SV1041 ) )
        = $true )
      | ( ( denota1997846518gree_c @ SV481 @ SV886 @ SV962 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5710]) ).

thf(5791,plain,
    ! [SV962: set_Sum_sum_c_c,SV481: produc190496183real_c,SV886: produc190496183real_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ ( sK106_SY2674 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
          | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ ( sK106_SY2674 @ SV886 @ SV481 @ SV962 ) )
            = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ ( sK106_SY2674 @ SV886 @ SV481 @ SV962 ) ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true )
      | ( ( ~ ( ~ ( denota1997846518gree_c @ SV481 @ SV886 @ SV962 )
              | ~ ~ ( ~ ! [SY2673: c] :
                          ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2673 ) @ SV962 )
                          | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2673 )
                            = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2673 ) ) )
                    | ~ ! [SY2674: c] :
                          ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
                          | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                            = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[5711]) ).

thf(5792,plain,
    ! [SV962: set_Sum_sum_c_c,SV481: produc190496183real_c,SV886: produc190496183real_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ ( sK105_SY2674 @ SV886 @ SV481 @ SV962 ) ) @ SV962 ) )
        = $false )
      | ( ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) )
        = $false )
      | ( ( ~ ( ~ ( denota1997846518gree_c @ SV481 @ SV886 @ SV962 )
              | ~ ~ ( ~ ! [SY2673: c] :
                          ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2673 ) @ SV962 )
                          | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2673 )
                            = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2673 ) ) )
                    | ~ ! [SY2674: c] :
                          ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
                          | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                            = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5712]) ).

thf(5793,plain,
    ! [SV962: set_Sum_sum_c_c,SV886: produc190496183real_c,SV481: produc190496183real_c] :
      ( ( ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ ( sK105_SY2674 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ ( sK105_SY2674 @ SV886 @ SV481 @ SV962 ) ) )
        = $false )
      | ( ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) )
        = $false )
      | ( ( ~ ( ~ ( denota1997846518gree_c @ SV481 @ SV886 @ SV962 )
              | ~ ~ ( ~ ! [SY2673: c] :
                          ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2673 ) @ SV962 )
                          | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2673 )
                            = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2673 ) ) )
                    | ~ ! [SY2674: c] :
                          ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
                          | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                            = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5712]) ).

thf(5794,plain,
    ! [SV887: finite1398487019real_c,SV487: finite1398487019real_c,SV724: finite1398487019real_c,SV184: finite1398487019real_c] :
      ( ( ( SV184 = SV724 )
        = $true )
      | ( ( SV184 = SV724 )
        = $false )
      | ( ( SV487 = SV887 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5713]) ).

thf(5795,plain,
    ! [SV724: finite1398487019real_c,SV184: finite1398487019real_c,SV887: finite1398487019real_c,SV487: finite1398487019real_c] :
      ( ( ( SV487 = SV887 )
        = $true )
      | ( ( SV184 = SV724 )
        = $false )
      | ( ( SV487 = SV887 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5714]) ).

thf(5796,plain,
    ! [SV977: c,SV517: c > sum_sum_c_c,SV214: sum_sum_c_c,SV747: set_c] :
      ( ( ( ! [SY2491: c] :
              ~ ~ ( ~ ( member_c @ SY2491 @ SV747 )
                  | ( SV214
                   != ( SV517 @ SY2491 ) ) ) )
        = $false )
      | ( ( member_c @ SV977 @ SV747 )
        = $false )
      | ( ( SV214
          = ( SV517 @ SV977 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5721]) ).

thf(5797,plain,
    ! [SV906: real,SV530: real,SV760: real,SV227: real] :
      ( ( ( ord_less_eq_real @ SV227 @ SV760 )
        = $true )
      | ( ( ord_less_eq_real @ SV227 @ SV760 )
        = $false )
      | ( ( ord_less_eq_real @ SV530 @ SV906 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5722]) ).

thf(5798,plain,
    ! [SV760: real,SV227: real,SV906: real,SV530: real] :
      ( ( ( ord_less_eq_real @ SV530 @ SV906 )
        = $true )
      | ( ( ord_less_eq_real @ SV227 @ SV760 )
        = $false )
      | ( ( ord_less_eq_real @ SV530 @ SV906 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5723]) ).

thf(5799,plain,
    ! [SV538: set_c,SV767: sum_sum_c_c > $o,SV235: c > sum_sum_c_c,SV966: sum_sum_c_c] :
      ( ( ( member_c @ ( sK103_SY2511 @ SV966 @ SV235 @ SV767 @ SV538 ) @ SV538 )
        = $true )
      | ( ( member_Sum_sum_c_c @ SV966 @ ( image_c_Sum_sum_c_c @ SV235 @ SV538 ) )
        = $false )
      | ( ( SV767 @ SV966 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5726]) ).

thf(5800,plain,
    ! [SV538: set_c,SV966: sum_sum_c_c,SV235: c > sum_sum_c_c,SV767: sum_sum_c_c > $o] :
      ( ( ( SV767 @ ( SV235 @ ( sK103_SY2511 @ SV966 @ SV235 @ SV767 @ SV538 ) ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ SV966 @ ( image_c_Sum_sum_c_c @ SV235 @ SV538 ) )
        = $false )
      | ( ( SV767 @ SV966 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5727]) ).

thf(5801,plain,
    ! [SV914: produc190496183real_c,SV548: produc190496183real_c] :
      ( ( ( ord_le775706699real_c @ ( produc2010422875real_c @ SV548 ) @ ( produc2010422875real_c @ SV914 ) )
        = $true )
      | ( ( ord_le775706699real_c @ ( produc2010422875real_c @ SV548 ) @ ( produc2010422875real_c @ SV914 ) )
        = $false )
      | ( ( ord_le775706699real_c @ ( produc314122909real_c @ SV548 ) @ ( produc314122909real_c @ SV914 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5728]) ).

thf(5802,plain,
    ! [SV914: produc190496183real_c,SV548: produc190496183real_c] :
      ( ( ( ord_le775706699real_c @ ( produc314122909real_c @ SV548 ) @ ( produc314122909real_c @ SV914 ) )
        = $true )
      | ( ( ord_le775706699real_c @ ( produc2010422875real_c @ SV548 ) @ ( produc2010422875real_c @ SV914 ) )
        = $false )
      | ( ( ord_le775706699real_c @ ( produc314122909real_c @ SV548 ) @ ( produc314122909real_c @ SV914 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5729]) ).

thf(5803,plain,
    ! [SV576: real,SV271: real,SV797: real] :
      ( ( ( ord_less_eq_real @ SV797 @ SV271 )
        = $true )
      | ( ( ord_less_eq_real @ SV271 @ SV576 )
        = $false )
      | ( ( ord_less_eq_real @ SV271 @ SV576 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5730]) ).

thf(5804,plain,
    ! [SV271: real,SV925: real,SV576: real] :
      ( ( ( ord_less_eq_real @ SV576 @ SV925 )
        = $true )
      | ( ( ord_less_eq_real @ SV271 @ SV576 )
        = $false )
      | ( ( ord_less_eq_real @ SV271 @ SV576 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5731]) ).

thf(5805,plain,
    ! [SV925: real,SV797: real,SV576: real,SV271: real] :
      ( ( ( ord_less_eq_real @ SV271 @ SV576 )
        = $false )
      | ( ( ~ ( ~ ( ord_less_eq_real @ SV797 @ SV271 )
              | ~ ( ord_less_eq_real @ SV576 @ SV925 ) ) )
        = $true )
      | ( ( ord_less_eq_real @ SV797 @ SV271 )
        = $false )
      | ( ( ord_less_eq_real @ SV576 @ SV925 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5732]) ).

thf(5806,plain,
    ! [SV937: produc957004601l_real,SV606: produc957004601l_real] :
      ( ( ( ord_less_eq_real @ ( produc1422991709l_real @ SV606 ) @ ( produc1422991709l_real @ SV937 ) )
        = $true )
      | ( ( ord_less_eq_real @ ( produc1422991709l_real @ SV606 ) @ ( produc1422991709l_real @ SV937 ) )
        = $false )
      | ( ( ord_less_eq_real @ ( produc1407670175l_real @ SV606 ) @ ( produc1407670175l_real @ SV937 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5735]) ).

thf(5807,plain,
    ! [SV937: produc957004601l_real,SV606: produc957004601l_real] :
      ( ( ( ord_less_eq_real @ ( produc1407670175l_real @ SV606 ) @ ( produc1407670175l_real @ SV937 ) )
        = $true )
      | ( ( ord_less_eq_real @ ( produc1422991709l_real @ SV606 ) @ ( produc1422991709l_real @ SV937 ) )
        = $false )
      | ( ( ord_less_eq_real @ ( produc1407670175l_real @ SV606 ) @ ( produc1407670175l_real @ SV937 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5736]) ).

thf(5808,plain,
    ! [SV941: finite1398487019real_c,SV619: finite1398487019real_c,SV831: finite1398487019real_c,SV315: finite1398487019real_c] :
      ( ( ( ord_le775706699real_c @ SV315 @ SV831 )
        = $true )
      | ( ( ord_le775706699real_c @ SV315 @ SV831 )
        = $false )
      | ( ( ord_le775706699real_c @ SV619 @ SV941 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5737]) ).

thf(5809,plain,
    ! [SV831: finite1398487019real_c,SV315: finite1398487019real_c,SV941: finite1398487019real_c,SV619: finite1398487019real_c] :
      ( ( ( ord_le775706699real_c @ SV619 @ SV941 )
        = $true )
      | ( ( ord_le775706699real_c @ SV315 @ SV831 )
        = $false )
      | ( ( ord_le775706699real_c @ SV619 @ SV941 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5738]) ).

thf(5810,plain,
    ! [SV944: produc190496183real_c,SV627: produc190496183real_c] :
      ( ( ( ( produc2010422875real_c @ SV627 )
          = ( produc2010422875real_c @ SV944 ) )
        = $true )
      | ( ( ( produc2010422875real_c @ SV627 )
          = ( produc2010422875real_c @ SV944 ) )
        = $false )
      | ( ( ( produc314122909real_c @ SV627 )
          = ( produc314122909real_c @ SV944 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5739]) ).

thf(5811,plain,
    ! [SV944: produc190496183real_c,SV627: produc190496183real_c] :
      ( ( ( ( produc314122909real_c @ SV627 )
          = ( produc314122909real_c @ SV944 ) )
        = $true )
      | ( ( ( produc2010422875real_c @ SV627 )
          = ( produc2010422875real_c @ SV944 ) )
        = $false )
      | ( ( ( produc314122909real_c @ SV627 )
          = ( produc314122909real_c @ SV944 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5740]) ).

thf(5812,plain,
    ! [SV979: set_c,SV631: c > sum_sum_c_c,SV327: set_Sum_sum_c_c,SV842: set_c] :
      ( ( ( ! [SY2581: set_c] :
              ~ ~ ( ~ ( ord_less_eq_set_c @ SY2581 @ SV842 )
                  | ( SV327
                   != ( image_c_Sum_sum_c_c @ SV631 @ SY2581 ) ) ) )
        = $false )
      | ( ( ord_less_eq_set_c @ SV979 @ SV842 )
        = $false )
      | ( ( SV327
          = ( image_c_Sum_sum_c_c @ SV631 @ SV979 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5743]) ).

thf(5813,plain,
    ! [SV633: set_c,SV844: sum_sum_c_d > $o,SV329: c > sum_sum_c_d,SV968: sum_sum_c_d] :
      ( ( ( member_c @ ( sK104_SY2585 @ SV968 @ SV329 @ SV844 @ SV633 ) @ SV633 )
        = $true )
      | ( ( member_Sum_sum_c_d @ SV968 @ ( image_c_Sum_sum_c_d @ SV329 @ SV633 ) )
        = $false )
      | ( ( SV844 @ SV968 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5744]) ).

thf(5814,plain,
    ! [SV633: set_c,SV968: sum_sum_c_d,SV329: c > sum_sum_c_d,SV844: sum_sum_c_d > $o] :
      ( ( ( SV844 @ ( SV329 @ ( sK104_SY2585 @ SV968 @ SV329 @ SV844 @ SV633 ) ) )
        = $true )
      | ( ( member_Sum_sum_c_d @ SV968 @ ( image_c_Sum_sum_c_d @ SV329 @ SV633 ) )
        = $false )
      | ( ( SV844 @ SV968 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5745]) ).

thf(5815,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $false )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
              | ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5750]) ).

thf(5816,plain,
    ! [SV645: formula_a_b_c,SV855: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $false )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
              | ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5750]) ).

thf(5817,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ~ ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
              | ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
              | ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5751]) ).

thf(5818,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $false )
      | ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
          = ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5753]) ).

thf(5819,plain,
    ! [SV645: formula_a_b_c,SV855: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $false )
      | ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
          = ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5754]) ).

thf(5820,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $false )
      | ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
          = ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5755]) ).

thf(5821,plain,
    ! [SV645: formula_a_b_c,SV855: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $false )
      | ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
          = ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5756]) ).

thf(5822,plain,
    ! [SV668: set_c,SV109: set_Sum_sum_c_d,SV414: c > sum_sum_c_d,SV973: set_c] :
      ( ( ( ~ ~ ( ~ ( ord_less_eq_set_c @ ( sK107_SY2402 @ SV973 @ SV414 @ SV109 @ SV668 ) @ SV668 )
                | ( SV109
                 != ( image_c_Sum_sum_c_d @ SV414 @ ( sK107_SY2402 @ SV973 @ SV414 @ SV109 @ SV668 ) ) ) ) )
        = $false )
      | ( ( ord_less_eq_set_c @ SV973 @ SV668 )
        = $false )
      | ( ( SV109
          = ( image_c_Sum_sum_c_d @ SV414 @ SV973 ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[5759]) ).

thf(5823,plain,
    ! [SV672: set_c,SV115: sum_sum_c_d,SV420: c > sum_sum_c_d,SV974: c] :
      ( ( ( ~ ~ ( ~ ( member_c @ ( sK108_SY2406 @ SV974 @ SV420 @ SV115 @ SV672 ) @ SV672 )
                | ( SV115
                 != ( SV420 @ ( sK108_SY2406 @ SV974 @ SV420 @ SV115 @ SV672 ) ) ) ) )
        = $false )
      | ( ( member_c @ SV974 @ SV672 )
        = $false )
      | ( ( SV115
          = ( SV420 @ SV974 ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[5760]) ).

thf(5824,plain,
    ! [SV868: finite1398487019real_c,SV424: finite1398487019real_c,SV961: set_c,SV1039: c] :
      ( ( ( member_c @ SV1039 @ SV961 )
        = $false )
      | ( ( ( finite772340578real_c @ SV424 @ SV1039 )
          = ( finite772340578real_c @ SV868 @ SV1039 ) )
        = $true )
      | ( ( member_c @ ( sK97_SY2672 @ SV868 @ SV424 @ SV961 ) @ SV961 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5761]) ).

thf(5825,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5763]) ).

thf(5826,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5763]) ).

thf(5827,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[5764]) ).

thf(5828,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[5765]) ).

thf(5829,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5766]) ).

thf(5830,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5768]) ).

thf(5831,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
              | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5768]) ).

thf(5832,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          = ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5769]) ).

thf(5833,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          = ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5770]) ).

thf(5834,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          = ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5771]) ).

thf(5835,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          = ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5772]) ).

thf(5836,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          = ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5773]) ).

thf(5837,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
                  | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
              | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
                  | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5774]) ).

thf(5838,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
          | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[5775]) ).

thf(5839,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          = ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[5775]) ).

thf(5840,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
          | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
              | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5776]) ).

thf(5841,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
          | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[5777]) ).

thf(5842,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          = ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[5777]) ).

thf(5843,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
          | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
              | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5778]) ).

thf(5844,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5779]) ).

thf(5845,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5781]) ).

thf(5846,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
              | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5781]) ).

thf(5847,plain,
    ! [SV883: real,SV708: real,SV467: real,SV163: real] :
      ( ( ( ord_less_eq_real @ SV163 @ SV467 )
        = $false )
      | ( ( SV163 = SV708 )
        = $true )
      | ( ( ( set_or656347191t_real @ SV163 @ SV467 )
          = ( set_or656347191t_real @ SV708 @ SV883 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5782]) ).

thf(5848,plain,
    ! [SV467: real,SV163: real,SV883: real,SV708: real] :
      ( ( ( ord_less_eq_real @ SV708 @ SV883 )
        = $false )
      | ( ( SV163 = SV708 )
        = $true )
      | ( ( ( set_or656347191t_real @ SV163 @ SV467 )
          = ( set_or656347191t_real @ SV708 @ SV883 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5783]) ).

thf(5849,plain,
    ! [SV708: real,SV883: real,SV467: real,SV163: real] :
      ( ( ( ord_less_eq_real @ SV163 @ SV467 )
        = $false )
      | ( ( SV467 = SV883 )
        = $true )
      | ( ( ( set_or656347191t_real @ SV163 @ SV467 )
          = ( set_or656347191t_real @ SV708 @ SV883 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5784]) ).

thf(5850,plain,
    ! [SV163: real,SV467: real,SV883: real,SV708: real] :
      ( ( ( ord_less_eq_real @ SV708 @ SV883 )
        = $false )
      | ( ( SV467 = SV883 )
        = $true )
      | ( ( ( set_or656347191t_real @ SV163 @ SV467 )
          = ( set_or656347191t_real @ SV708 @ SV883 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5785]) ).

thf(5851,plain,
    ! [SV883: real,SV467: real,SV708: real,SV163: real] :
      ( ( ( SV163 != SV708 )
        = $false )
      | ( ( ~ ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 )
              | ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) ) )
        = $true )
      | ( ( SV163 = SV708 )
        = $false )
      | ( ( SV467 = SV883 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5786]) ).

thf(5852,plain,
    ! [SV708: real,SV163: real,SV883: real,SV467: real] :
      ( ( ( SV467 != SV883 )
        = $false )
      | ( ( ~ ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 )
              | ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) ) )
        = $true )
      | ( ( SV163 = SV708 )
        = $false )
      | ( ( SV467 = SV883 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5786]) ).

thf(5853,plain,
    ! [SV883: real,SV467: real,SV708: real,SV163: real] :
      ( ( ( ~ ( ( SV163 != SV708 )
              | ( SV467 != SV883 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 )
              | ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) ) )
        = $true )
      | ( ( ord_less_eq_real @ SV163 @ SV467 )
        = $true )
      | ( ( ord_less_eq_real @ SV708 @ SV883 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[5788]) ).

thf(5854,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c,SV1040: c] :
      ( ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SV1040 ) @ SV962 )
        = $false )
      | ( ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SV1040 )
          = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SV1040 ) )
        = $true )
      | ( ( denota1997846518gree_c @ SV481 @ SV886 @ SV962 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5789]) ).

thf(5855,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c,SV1041: c] :
      ( ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SV1041 ) @ SV962 )
        = $false )
      | ( ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SV1041 )
          = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SV1041 ) )
        = $true )
      | ( ( denota1997846518gree_c @ SV481 @ SV886 @ SV962 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5790]) ).

thf(5856,plain,
    ! [SV962: set_Sum_sum_c_c,SV481: produc190496183real_c,SV886: produc190496183real_c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ ( sK106_SY2674 @ SV886 @ SV481 @ SV962 ) ) @ SV962 ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true )
      | ( ( ~ ( ~ ( denota1997846518gree_c @ SV481 @ SV886 @ SV962 )
              | ~ ~ ( ~ ! [SY2673: c] :
                          ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2673 ) @ SV962 )
                          | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2673 )
                            = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2673 ) ) )
                    | ~ ! [SY2674: c] :
                          ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
                          | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                            = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5791]) ).

thf(5857,plain,
    ! [SV962: set_Sum_sum_c_c,SV886: produc190496183real_c,SV481: produc190496183real_c] :
      ( ( ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ ( sK106_SY2674 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ ( sK106_SY2674 @ SV886 @ SV481 @ SV962 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true )
      | ( ( ~ ( ~ ( denota1997846518gree_c @ SV481 @ SV886 @ SV962 )
              | ~ ~ ( ~ ! [SY2673: c] :
                          ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2673 ) @ SV962 )
                          | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2673 )
                            = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2673 ) ) )
                    | ~ ! [SY2674: c] :
                          ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
                          | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                            = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5791]) ).

thf(5858,plain,
    ! [SV962: set_Sum_sum_c_c,SV481: produc190496183real_c,SV886: produc190496183real_c] :
      ( ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ ( sK105_SY2674 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true )
      | ( ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) )
        = $false )
      | ( ( ~ ( ~ ( denota1997846518gree_c @ SV481 @ SV886 @ SV962 )
              | ~ ~ ( ~ ! [SY2673: c] :
                          ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2673 ) @ SV962 )
                          | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2673 )
                            = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2673 ) ) )
                    | ~ ! [SY2674: c] :
                          ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
                          | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                            = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5792]) ).

thf(5859,plain,
    ! [SV962: set_Sum_sum_c_c,SV886: produc190496183real_c,SV481: produc190496183real_c] :
      ( ( ( ~ ( denota1997846518gree_c @ SV481 @ SV886 @ SV962 )
          | ~ ~ ( ~ ! [SY2673: c] :
                      ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2673 ) @ SV962 )
                      | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2673 )
                        = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2673 ) ) )
                | ~ ! [SY2674: c] :
                      ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
                      | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                        = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) ) )
        = $false )
      | ( ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) )
        = $false )
      | ( ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ ( sK105_SY2674 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ ( sK105_SY2674 @ SV886 @ SV481 @ SV962 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5793]) ).

thf(5860,plain,
    ! [SV747: set_c,SV214: sum_sum_c_c,SV517: c > sum_sum_c_c,SV977: c] :
      ( ( ( ~ ~ ( ~ ( member_c @ ( sK109_SY2491 @ SV977 @ SV517 @ SV214 @ SV747 ) @ SV747 )
                | ( SV214
                 != ( SV517 @ ( sK109_SY2491 @ SV977 @ SV517 @ SV214 @ SV747 ) ) ) ) )
        = $false )
      | ( ( member_c @ SV977 @ SV747 )
        = $false )
      | ( ( SV214
          = ( SV517 @ SV977 ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[5796]) ).

thf(5861,plain,
    ! [SV925: real,SV576: real,SV271: real,SV797: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV797 @ SV271 )
          | ~ ( ord_less_eq_real @ SV576 @ SV925 ) )
        = $false )
      | ( ( ord_less_eq_real @ SV271 @ SV576 )
        = $false )
      | ( ( ord_less_eq_real @ SV797 @ SV271 )
        = $false )
      | ( ( ord_less_eq_real @ SV576 @ SV925 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5805]) ).

thf(5862,plain,
    ! [SV842: set_c,SV327: set_Sum_sum_c_c,SV631: c > sum_sum_c_c,SV979: set_c] :
      ( ( ( ~ ~ ( ~ ( ord_less_eq_set_c @ ( sK110_SY2581 @ SV979 @ SV631 @ SV327 @ SV842 ) @ SV842 )
                | ( SV327
                 != ( image_c_Sum_sum_c_c @ SV631 @ ( sK110_SY2581 @ SV979 @ SV631 @ SV327 @ SV842 ) ) ) ) )
        = $false )
      | ( ( ord_less_eq_set_c @ SV979 @ SV842 )
        = $false )
      | ( ( SV327
          = ( image_c_Sum_sum_c_c @ SV631 @ SV979 ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[5812]) ).

thf(5863,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
          | ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5815]) ).

thf(5864,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
          | ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5816]) ).

thf(5865,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
          | ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
        = $false )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
              | ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5817]) ).

thf(5866,plain,
    ! [SV668: set_c,SV109: set_Sum_sum_c_d,SV414: c > sum_sum_c_d,SV973: set_c] :
      ( ( ( ~ ( ~ ( ord_less_eq_set_c @ ( sK107_SY2402 @ SV973 @ SV414 @ SV109 @ SV668 ) @ SV668 )
              | ( SV109
               != ( image_c_Sum_sum_c_d @ SV414 @ ( sK107_SY2402 @ SV973 @ SV414 @ SV109 @ SV668 ) ) ) ) )
        = $true )
      | ( ( ord_less_eq_set_c @ SV973 @ SV668 )
        = $false )
      | ( ( SV109
          = ( image_c_Sum_sum_c_d @ SV414 @ SV973 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5822]) ).

thf(5867,plain,
    ! [SV672: set_c,SV115: sum_sum_c_d,SV420: c > sum_sum_c_d,SV974: c] :
      ( ( ( ~ ( ~ ( member_c @ ( sK108_SY2406 @ SV974 @ SV420 @ SV115 @ SV672 ) @ SV672 )
              | ( SV115
               != ( SV420 @ ( sK108_SY2406 @ SV974 @ SV420 @ SV115 @ SV672 ) ) ) ) )
        = $true )
      | ( ( member_c @ SV974 @ SV672 )
        = $false )
      | ( ( SV115
          = ( SV420 @ SV974 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5823]) ).

thf(5868,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          | ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5825]) ).

thf(5869,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          | ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5826]) ).

thf(5870,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5827]) ).

thf(5871,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5828]) ).

thf(5872,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5829]) ).

thf(5873,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5830]) ).

thf(5874,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
          | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5831]) ).

thf(5875,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
          | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[5836]) ).

thf(5876,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          = ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[5836]) ).

thf(5877,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
          | ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
              | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5837]) ).

thf(5878,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5838]) ).

thf(5879,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5840]) ).

thf(5880,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
              | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5840]) ).

thf(5881,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[5841]) ).

thf(5882,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5843]) ).

thf(5883,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
              | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5843]) ).

thf(5884,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5844]) ).

thf(5885,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5845]) ).

thf(5886,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
          | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5846]) ).

thf(5887,plain,
    ! [SV883: real,SV467: real,SV708: real,SV163: real] :
      ( ( ( SV163 = SV708 )
        = $true )
      | ( ( ~ ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 )
              | ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) ) )
        = $true )
      | ( ( SV163 = SV708 )
        = $false )
      | ( ( SV467 = SV883 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5851]) ).

thf(5888,plain,
    ! [SV708: real,SV163: real,SV883: real,SV467: real] :
      ( ( ( SV467 = SV883 )
        = $true )
      | ( ( ~ ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 )
              | ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) ) )
        = $true )
      | ( ( SV163 = SV708 )
        = $false )
      | ( ( SV467 = SV883 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5852]) ).

thf(5889,plain,
    ! [SV883: real,SV467: real,SV708: real,SV163: real] :
      ( ( ( ( SV163 != SV708 )
          | ( SV467 != SV883 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 )
              | ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) ) )
        = $true )
      | ( ( ord_less_eq_real @ SV163 @ SV467 )
        = $true )
      | ( ( ord_less_eq_real @ SV708 @ SV883 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5853]) ).

thf(5890,plain,
    ! [SV962: set_Sum_sum_c_c,SV481: produc190496183real_c,SV886: produc190496183real_c] :
      ( ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ ( sK106_SY2674 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true )
      | ( ( ~ ( ~ ( denota1997846518gree_c @ SV481 @ SV886 @ SV962 )
              | ~ ~ ( ~ ! [SY2673: c] :
                          ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2673 ) @ SV962 )
                          | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2673 )
                            = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2673 ) ) )
                    | ~ ! [SY2674: c] :
                          ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
                          | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                            = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5856]) ).

thf(5891,plain,
    ! [SV962: set_Sum_sum_c_c,SV886: produc190496183real_c,SV481: produc190496183real_c] :
      ( ( ( ~ ( denota1997846518gree_c @ SV481 @ SV886 @ SV962 )
          | ~ ~ ( ~ ! [SY2673: c] :
                      ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2673 ) @ SV962 )
                      | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2673 )
                        = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2673 ) ) )
                | ~ ! [SY2674: c] :
                      ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
                      | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                        = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true )
      | ( ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ ( sK106_SY2674 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ ( sK106_SY2674 @ SV886 @ SV481 @ SV962 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5857]) ).

thf(5892,plain,
    ! [SV962: set_Sum_sum_c_c,SV886: produc190496183real_c,SV481: produc190496183real_c] :
      ( ( ( ~ ( denota1997846518gree_c @ SV481 @ SV886 @ SV962 )
          | ~ ~ ( ~ ! [SY2673: c] :
                      ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2673 ) @ SV962 )
                      | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2673 )
                        = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2673 ) ) )
                | ~ ! [SY2674: c] :
                      ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
                      | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                        = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) ) )
        = $false )
      | ( ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ ( sK105_SY2674 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5858]) ).

thf(5893,plain,
    ! [SV962: set_Sum_sum_c_c,SV886: produc190496183real_c,SV481: produc190496183real_c] :
      ( ( ( ~ ( denota1997846518gree_c @ SV481 @ SV886 @ SV962 ) )
        = $false )
      | ( ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) )
        = $false )
      | ( ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ ( sK105_SY2674 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ ( sK105_SY2674 @ SV886 @ SV481 @ SV962 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5859]) ).

thf(5894,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c] :
      ( ( ( ~ ~ ( ~ ! [SY2673: c] :
                      ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2673 ) @ SV962 )
                      | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2673 )
                        = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2673 ) ) )
                | ~ ! [SY2674: c] :
                      ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
                      | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                        = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) ) )
        = $false )
      | ( ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) )
        = $false )
      | ( ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ ( sK105_SY2674 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ ( sK105_SY2674 @ SV886 @ SV481 @ SV962 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5859]) ).

thf(5895,plain,
    ! [SV747: set_c,SV214: sum_sum_c_c,SV517: c > sum_sum_c_c,SV977: c] :
      ( ( ( ~ ( ~ ( member_c @ ( sK109_SY2491 @ SV977 @ SV517 @ SV214 @ SV747 ) @ SV747 )
              | ( SV214
               != ( SV517 @ ( sK109_SY2491 @ SV977 @ SV517 @ SV214 @ SV747 ) ) ) ) )
        = $true )
      | ( ( member_c @ SV977 @ SV747 )
        = $false )
      | ( ( SV214
          = ( SV517 @ SV977 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5860]) ).

thf(5896,plain,
    ! [SV925: real,SV576: real,SV271: real,SV797: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV797 @ SV271 ) )
        = $false )
      | ( ( ord_less_eq_real @ SV271 @ SV576 )
        = $false )
      | ( ( ord_less_eq_real @ SV797 @ SV271 )
        = $false )
      | ( ( ord_less_eq_real @ SV576 @ SV925 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5861]) ).

thf(5897,plain,
    ! [SV797: real,SV271: real,SV925: real,SV576: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV576 @ SV925 ) )
        = $false )
      | ( ( ord_less_eq_real @ SV271 @ SV576 )
        = $false )
      | ( ( ord_less_eq_real @ SV797 @ SV271 )
        = $false )
      | ( ( ord_less_eq_real @ SV576 @ SV925 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5861]) ).

thf(5898,plain,
    ! [SV842: set_c,SV327: set_Sum_sum_c_c,SV631: c > sum_sum_c_c,SV979: set_c] :
      ( ( ( ~ ( ~ ( ord_less_eq_set_c @ ( sK110_SY2581 @ SV979 @ SV631 @ SV327 @ SV842 ) @ SV842 )
              | ( SV327
               != ( image_c_Sum_sum_c_c @ SV631 @ ( sK110_SY2581 @ SV979 @ SV631 @ SV327 @ SV842 ) ) ) ) )
        = $true )
      | ( ( ord_less_eq_set_c @ SV979 @ SV842 )
        = $false )
      | ( ( SV327
          = ( image_c_Sum_sum_c_c @ SV631 @ SV979 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5862]) ).

thf(5899,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5863]) ).

thf(5900,plain,
    ! [SV645: formula_a_b_c,SV855: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5863]) ).

thf(5901,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5864]) ).

thf(5902,plain,
    ! [SV645: formula_a_b_c,SV855: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5864]) ).

thf(5903,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $false )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
              | ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5865]) ).

thf(5904,plain,
    ! [SV645: formula_a_b_c,SV855: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $false )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
              | ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5865]) ).

thf(5905,plain,
    ! [SV668: set_c,SV109: set_Sum_sum_c_d,SV414: c > sum_sum_c_d,SV973: set_c] :
      ( ( ( ~ ( ord_less_eq_set_c @ ( sK107_SY2402 @ SV973 @ SV414 @ SV109 @ SV668 ) @ SV668 )
          | ( SV109
           != ( image_c_Sum_sum_c_d @ SV414 @ ( sK107_SY2402 @ SV973 @ SV414 @ SV109 @ SV668 ) ) ) )
        = $false )
      | ( ( ord_less_eq_set_c @ SV973 @ SV668 )
        = $false )
      | ( ( SV109
          = ( image_c_Sum_sum_c_d @ SV414 @ SV973 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5866]) ).

thf(5906,plain,
    ! [SV672: set_c,SV115: sum_sum_c_d,SV420: c > sum_sum_c_d,SV974: c] :
      ( ( ( ~ ( member_c @ ( sK108_SY2406 @ SV974 @ SV420 @ SV115 @ SV672 ) @ SV672 )
          | ( SV115
           != ( SV420 @ ( sK108_SY2406 @ SV974 @ SV420 @ SV115 @ SV672 ) ) ) )
        = $false )
      | ( ( member_c @ SV974 @ SV672 )
        = $false )
      | ( ( SV115
          = ( SV420 @ SV974 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5867]) ).

thf(5907,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5868]) ).

thf(5908,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5868]) ).

thf(5909,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5869]) ).

thf(5910,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5869]) ).

thf(5911,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5872]) ).

thf(5912,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5872]) ).

thf(5913,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5873]) ).

thf(5914,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5874]) ).

thf(5915,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[5875]) ).

thf(5916,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5877]) ).

thf(5917,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
              | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5877]) ).

thf(5918,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5878]) ).

thf(5919,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5879]) ).

thf(5920,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
          | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5880]) ).

thf(5921,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5881]) ).

thf(5922,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5882]) ).

thf(5923,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
          | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5883]) ).

thf(5924,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5884]) ).

thf(5925,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5884]) ).

thf(5926,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5885]) ).

thf(5927,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5886]) ).

thf(5928,plain,
    ! [SV883: real,SV708: real,SV467: real,SV163: real] :
      ( ( ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 )
          | ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) )
        = $false )
      | ( ( SV163 = SV708 )
        = $true )
      | ( ( SV163 = SV708 )
        = $false )
      | ( ( SV467 = SV883 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5887]) ).

thf(5929,plain,
    ! [SV883: real,SV708: real,SV467: real,SV163: real] :
      ( ( ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 )
          | ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) )
        = $false )
      | ( ( SV467 = SV883 )
        = $true )
      | ( ( SV163 = SV708 )
        = $false )
      | ( ( SV467 = SV883 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5888]) ).

thf(5930,plain,
    ! [SV883: real,SV467: real,SV708: real,SV163: real] :
      ( ( ( SV163 != SV708 )
        = $false )
      | ( ( ~ ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 )
              | ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) ) )
        = $true )
      | ( ( ord_less_eq_real @ SV163 @ SV467 )
        = $true )
      | ( ( ord_less_eq_real @ SV708 @ SV883 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5889]) ).

thf(5931,plain,
    ! [SV708: real,SV163: real,SV883: real,SV467: real] :
      ( ( ( SV467 != SV883 )
        = $false )
      | ( ( ~ ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 )
              | ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) ) )
        = $true )
      | ( ( ord_less_eq_real @ SV163 @ SV467 )
        = $true )
      | ( ( ord_less_eq_real @ SV708 @ SV883 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5889]) ).

thf(5932,plain,
    ! [SV962: set_Sum_sum_c_c,SV886: produc190496183real_c,SV481: produc190496183real_c] :
      ( ( ( ~ ( denota1997846518gree_c @ SV481 @ SV886 @ SV962 )
          | ~ ~ ( ~ ! [SY2673: c] :
                      ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2673 ) @ SV962 )
                      | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2673 )
                        = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2673 ) ) )
                | ~ ! [SY2674: c] :
                      ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
                      | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                        = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ ( sK106_SY2674 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5890]) ).

thf(5933,plain,
    ! [SV962: set_Sum_sum_c_c,SV886: produc190496183real_c,SV481: produc190496183real_c] :
      ( ( ( ~ ( denota1997846518gree_c @ SV481 @ SV886 @ SV962 ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true )
      | ( ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ ( sK106_SY2674 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ ( sK106_SY2674 @ SV886 @ SV481 @ SV962 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5891]) ).

thf(5934,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c] :
      ( ( ( ~ ~ ( ~ ! [SY2673: c] :
                      ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2673 ) @ SV962 )
                      | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2673 )
                        = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2673 ) ) )
                | ~ ! [SY2674: c] :
                      ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
                      | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                        = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true )
      | ( ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ ( sK106_SY2674 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ ( sK106_SY2674 @ SV886 @ SV481 @ SV962 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5891]) ).

thf(5935,plain,
    ! [SV962: set_Sum_sum_c_c,SV886: produc190496183real_c,SV481: produc190496183real_c] :
      ( ( ( ~ ( denota1997846518gree_c @ SV481 @ SV886 @ SV962 ) )
        = $false )
      | ( ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ ( sK105_SY2674 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5892]) ).

thf(5936,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c] :
      ( ( ( ~ ~ ( ~ ! [SY2673: c] :
                      ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2673 ) @ SV962 )
                      | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2673 )
                        = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2673 ) ) )
                | ~ ! [SY2674: c] :
                      ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
                      | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                        = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) ) )
        = $false )
      | ( ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ ( sK105_SY2674 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5892]) ).

thf(5937,plain,
    ! [SV962: set_Sum_sum_c_c,SV886: produc190496183real_c,SV481: produc190496183real_c] :
      ( ( ( denota1997846518gree_c @ SV481 @ SV886 @ SV962 )
        = $true )
      | ( ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) )
        = $false )
      | ( ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ ( sK105_SY2674 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ ( sK105_SY2674 @ SV886 @ SV481 @ SV962 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5893]) ).

thf(5938,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c] :
      ( ( ( ~ ( ~ ! [SY2673: c] :
                    ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2673 ) @ SV962 )
                    | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2673 )
                      = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2673 ) ) )
              | ~ ! [SY2674: c] :
                    ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
                    | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                      = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) ) )
        = $true )
      | ( ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) )
        = $false )
      | ( ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ ( sK105_SY2674 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ ( sK105_SY2674 @ SV886 @ SV481 @ SV962 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5894]) ).

thf(5939,plain,
    ! [SV747: set_c,SV214: sum_sum_c_c,SV517: c > sum_sum_c_c,SV977: c] :
      ( ( ( ~ ( member_c @ ( sK109_SY2491 @ SV977 @ SV517 @ SV214 @ SV747 ) @ SV747 )
          | ( SV214
           != ( SV517 @ ( sK109_SY2491 @ SV977 @ SV517 @ SV214 @ SV747 ) ) ) )
        = $false )
      | ( ( member_c @ SV977 @ SV747 )
        = $false )
      | ( ( SV214
          = ( SV517 @ SV977 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5895]) ).

thf(5940,plain,
    ! [SV925: real,SV576: real,SV271: real,SV797: real] :
      ( ( ( ord_less_eq_real @ SV797 @ SV271 )
        = $true )
      | ( ( ord_less_eq_real @ SV271 @ SV576 )
        = $false )
      | ( ( ord_less_eq_real @ SV797 @ SV271 )
        = $false )
      | ( ( ord_less_eq_real @ SV576 @ SV925 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5896]) ).

thf(5941,plain,
    ! [SV797: real,SV271: real,SV925: real,SV576: real] :
      ( ( ( ord_less_eq_real @ SV576 @ SV925 )
        = $true )
      | ( ( ord_less_eq_real @ SV271 @ SV576 )
        = $false )
      | ( ( ord_less_eq_real @ SV797 @ SV271 )
        = $false )
      | ( ( ord_less_eq_real @ SV576 @ SV925 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5897]) ).

thf(5942,plain,
    ! [SV842: set_c,SV327: set_Sum_sum_c_c,SV631: c > sum_sum_c_c,SV979: set_c] :
      ( ( ( ~ ( ord_less_eq_set_c @ ( sK110_SY2581 @ SV979 @ SV631 @ SV327 @ SV842 ) @ SV842 )
          | ( SV327
           != ( image_c_Sum_sum_c_c @ SV631 @ ( sK110_SY2581 @ SV979 @ SV631 @ SV327 @ SV842 ) ) ) )
        = $false )
      | ( ( ord_less_eq_set_c @ SV979 @ SV842 )
        = $false )
      | ( ( SV327
          = ( image_c_Sum_sum_c_c @ SV631 @ SV979 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5898]) ).

thf(5943,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5899]) ).

thf(5944,plain,
    ! [SV645: formula_a_b_c,SV855: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5900]) ).

thf(5945,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5901]) ).

thf(5946,plain,
    ! [SV645: formula_a_b_c,SV855: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5902]) ).

thf(5947,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
          | ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5903]) ).

thf(5948,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
          | ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5904]) ).

thf(5949,plain,
    ! [SV668: set_c,SV109: set_Sum_sum_c_d,SV414: c > sum_sum_c_d,SV973: set_c] :
      ( ( ( ~ ( ord_less_eq_set_c @ ( sK107_SY2402 @ SV973 @ SV414 @ SV109 @ SV668 ) @ SV668 ) )
        = $false )
      | ( ( ord_less_eq_set_c @ SV973 @ SV668 )
        = $false )
      | ( ( SV109
          = ( image_c_Sum_sum_c_d @ SV414 @ SV973 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5905]) ).

thf(5950,plain,
    ! [SV668: set_c,SV973: set_c,SV414: c > sum_sum_c_d,SV109: set_Sum_sum_c_d] :
      ( ( ( SV109
         != ( image_c_Sum_sum_c_d @ SV414 @ ( sK107_SY2402 @ SV973 @ SV414 @ SV109 @ SV668 ) ) )
        = $false )
      | ( ( ord_less_eq_set_c @ SV973 @ SV668 )
        = $false )
      | ( ( SV109
          = ( image_c_Sum_sum_c_d @ SV414 @ SV973 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5905]) ).

thf(5951,plain,
    ! [SV672: set_c,SV115: sum_sum_c_d,SV420: c > sum_sum_c_d,SV974: c] :
      ( ( ( ~ ( member_c @ ( sK108_SY2406 @ SV974 @ SV420 @ SV115 @ SV672 ) @ SV672 ) )
        = $false )
      | ( ( member_c @ SV974 @ SV672 )
        = $false )
      | ( ( SV115
          = ( SV420 @ SV974 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5906]) ).

thf(5952,plain,
    ! [SV672: set_c,SV974: c,SV420: c > sum_sum_c_d,SV115: sum_sum_c_d] :
      ( ( ( SV115
         != ( SV420 @ ( sK108_SY2406 @ SV974 @ SV420 @ SV115 @ SV672 ) ) )
        = $false )
      | ( ( member_c @ SV974 @ SV672 )
        = $false )
      | ( ( SV115
          = ( SV420 @ SV974 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5906]) ).

thf(5953,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5907]) ).

thf(5954,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5908]) ).

thf(5955,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5909]) ).

thf(5956,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5910]) ).

thf(5957,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          | ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5911]) ).

thf(5958,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          | ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5912]) ).

thf(5959,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5913]) ).

thf(5960,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5914]) ).

thf(5961,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5915]) ).

thf(5962,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5916]) ).

thf(5963,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
          | ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5917]) ).

thf(5964,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5918]) ).

thf(5965,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5918]) ).

thf(5966,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5919]) ).

thf(5967,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5920]) ).

thf(5968,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5921]) ).

thf(5969,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5921]) ).

thf(5970,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[5922]) ).

thf(5971,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[5923]) ).

thf(5972,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          | ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5924]) ).

thf(5973,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          | ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5925]) ).

thf(5974,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5926]) ).

thf(5975,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5927]) ).

thf(5976,plain,
    ! [SV883: real,SV708: real,SV467: real,SV163: real] :
      ( ( ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 ) )
        = $false )
      | ( ( SV163 = SV708 )
        = $true )
      | ( ( SV163 = SV708 )
        = $false )
      | ( ( SV467 = SV883 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5928]) ).

thf(5977,plain,
    ! [SV467: real,SV163: real,SV883: real,SV708: real] :
      ( ( ( ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) )
        = $false )
      | ( ( SV163 = SV708 )
        = $true )
      | ( ( SV163 = SV708 )
        = $false )
      | ( ( SV467 = SV883 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5928]) ).

thf(5978,plain,
    ! [SV708: real,SV883: real,SV467: real,SV163: real] :
      ( ( ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 ) )
        = $false )
      | ( ( SV467 = SV883 )
        = $true )
      | ( ( SV163 = SV708 )
        = $false )
      | ( ( SV467 = SV883 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5929]) ).

thf(5979,plain,
    ! [SV163: real,SV467: real,SV883: real,SV708: real] :
      ( ( ( ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) )
        = $false )
      | ( ( SV467 = SV883 )
        = $true )
      | ( ( SV163 = SV708 )
        = $false )
      | ( ( SV467 = SV883 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5929]) ).

thf(5980,plain,
    ! [SV883: real,SV467: real,SV708: real,SV163: real] :
      ( ( ( SV163 = SV708 )
        = $true )
      | ( ( ~ ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 )
              | ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) ) )
        = $true )
      | ( ( ord_less_eq_real @ SV163 @ SV467 )
        = $true )
      | ( ( ord_less_eq_real @ SV708 @ SV883 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5930]) ).

thf(5981,plain,
    ! [SV708: real,SV163: real,SV883: real,SV467: real] :
      ( ( ( SV467 = SV883 )
        = $true )
      | ( ( ~ ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 )
              | ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) ) )
        = $true )
      | ( ( ord_less_eq_real @ SV163 @ SV467 )
        = $true )
      | ( ( ord_less_eq_real @ SV708 @ SV883 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5931]) ).

thf(5982,plain,
    ! [SV962: set_Sum_sum_c_c,SV886: produc190496183real_c,SV481: produc190496183real_c] :
      ( ( ( ~ ( denota1997846518gree_c @ SV481 @ SV886 @ SV962 ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ ( sK106_SY2674 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5932]) ).

thf(5983,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c] :
      ( ( ( ~ ~ ( ~ ! [SY2673: c] :
                      ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2673 ) @ SV962 )
                      | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2673 )
                        = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2673 ) ) )
                | ~ ! [SY2674: c] :
                      ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
                      | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                        = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ ( sK106_SY2674 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5932]) ).

thf(5984,plain,
    ! [SV962: set_Sum_sum_c_c,SV886: produc190496183real_c,SV481: produc190496183real_c] :
      ( ( ( denota1997846518gree_c @ SV481 @ SV886 @ SV962 )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true )
      | ( ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ ( sK106_SY2674 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ ( sK106_SY2674 @ SV886 @ SV481 @ SV962 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5933]) ).

thf(5985,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c] :
      ( ( ( ~ ( ~ ! [SY2673: c] :
                    ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2673 ) @ SV962 )
                    | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2673 )
                      = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2673 ) ) )
              | ~ ! [SY2674: c] :
                    ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
                    | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                      = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true )
      | ( ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ ( sK106_SY2674 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ ( sK106_SY2674 @ SV886 @ SV481 @ SV962 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5934]) ).

thf(5986,plain,
    ! [SV962: set_Sum_sum_c_c,SV886: produc190496183real_c,SV481: produc190496183real_c] :
      ( ( ( denota1997846518gree_c @ SV481 @ SV886 @ SV962 )
        = $true )
      | ( ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ ( sK105_SY2674 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5935]) ).

thf(5987,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c] :
      ( ( ( ~ ( ~ ! [SY2673: c] :
                    ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2673 ) @ SV962 )
                    | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2673 )
                      = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2673 ) ) )
              | ~ ! [SY2674: c] :
                    ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
                    | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                      = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) ) )
        = $true )
      | ( ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ ( sK105_SY2674 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5936]) ).

thf(5988,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c] :
      ( ( ( ~ ! [SY2673: c] :
                ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2673 ) @ SV962 )
                | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2673 )
                  = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2673 ) ) )
          | ~ ! [SY2674: c] :
                ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
                | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                  = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) )
        = $false )
      | ( ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) )
        = $false )
      | ( ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ ( sK105_SY2674 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ ( sK105_SY2674 @ SV886 @ SV481 @ SV962 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5938]) ).

thf(5989,plain,
    ! [SV747: set_c,SV214: sum_sum_c_c,SV517: c > sum_sum_c_c,SV977: c] :
      ( ( ( ~ ( member_c @ ( sK109_SY2491 @ SV977 @ SV517 @ SV214 @ SV747 ) @ SV747 ) )
        = $false )
      | ( ( member_c @ SV977 @ SV747 )
        = $false )
      | ( ( SV214
          = ( SV517 @ SV977 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5939]) ).

thf(5990,plain,
    ! [SV747: set_c,SV977: c,SV517: c > sum_sum_c_c,SV214: sum_sum_c_c] :
      ( ( ( SV214
         != ( SV517 @ ( sK109_SY2491 @ SV977 @ SV517 @ SV214 @ SV747 ) ) )
        = $false )
      | ( ( member_c @ SV977 @ SV747 )
        = $false )
      | ( ( SV214
          = ( SV517 @ SV977 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5939]) ).

thf(5991,plain,
    ! [SV842: set_c,SV327: set_Sum_sum_c_c,SV631: c > sum_sum_c_c,SV979: set_c] :
      ( ( ( ~ ( ord_less_eq_set_c @ ( sK110_SY2581 @ SV979 @ SV631 @ SV327 @ SV842 ) @ SV842 ) )
        = $false )
      | ( ( ord_less_eq_set_c @ SV979 @ SV842 )
        = $false )
      | ( ( SV327
          = ( image_c_Sum_sum_c_c @ SV631 @ SV979 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5942]) ).

thf(5992,plain,
    ! [SV842: set_c,SV979: set_c,SV631: c > sum_sum_c_c,SV327: set_Sum_sum_c_c] :
      ( ( ( SV327
         != ( image_c_Sum_sum_c_c @ SV631 @ ( sK110_SY2581 @ SV979 @ SV631 @ SV327 @ SV842 ) ) )
        = $false )
      | ( ( ord_less_eq_set_c @ SV979 @ SV842 )
        = $false )
      | ( ( SV327
          = ( image_c_Sum_sum_c_c @ SV631 @ SV979 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5942]) ).

thf(5993,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5947]) ).

thf(5994,plain,
    ! [SV645: formula_a_b_c,SV855: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5947]) ).

thf(5995,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5948]) ).

thf(5996,plain,
    ! [SV645: formula_a_b_c,SV855: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5948]) ).

thf(5997,plain,
    ! [SV668: set_c,SV109: set_Sum_sum_c_d,SV414: c > sum_sum_c_d,SV973: set_c] :
      ( ( ( ord_less_eq_set_c @ ( sK107_SY2402 @ SV973 @ SV414 @ SV109 @ SV668 ) @ SV668 )
        = $true )
      | ( ( ord_less_eq_set_c @ SV973 @ SV668 )
        = $false )
      | ( ( SV109
          = ( image_c_Sum_sum_c_d @ SV414 @ SV973 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5949]) ).

thf(5998,plain,
    ! [SV668: set_c,SV973: set_c,SV414: c > sum_sum_c_d,SV109: set_Sum_sum_c_d] :
      ( ( ( SV109
          = ( image_c_Sum_sum_c_d @ SV414 @ ( sK107_SY2402 @ SV973 @ SV414 @ SV109 @ SV668 ) ) )
        = $true )
      | ( ( ord_less_eq_set_c @ SV973 @ SV668 )
        = $false )
      | ( ( SV109
          = ( image_c_Sum_sum_c_d @ SV414 @ SV973 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5950]) ).

thf(5999,plain,
    ! [SV672: set_c,SV115: sum_sum_c_d,SV420: c > sum_sum_c_d,SV974: c] :
      ( ( ( member_c @ ( sK108_SY2406 @ SV974 @ SV420 @ SV115 @ SV672 ) @ SV672 )
        = $true )
      | ( ( member_c @ SV974 @ SV672 )
        = $false )
      | ( ( SV115
          = ( SV420 @ SV974 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5951]) ).

thf(6000,plain,
    ! [SV672: set_c,SV974: c,SV420: c > sum_sum_c_d,SV115: sum_sum_c_d] :
      ( ( ( SV115
          = ( SV420 @ ( sK108_SY2406 @ SV974 @ SV420 @ SV115 @ SV672 ) ) )
        = $true )
      | ( ( member_c @ SV974 @ SV672 )
        = $false )
      | ( ( SV115
          = ( SV420 @ SV974 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5952]) ).

thf(6001,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5957]) ).

thf(6002,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5957]) ).

thf(6003,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5958]) ).

thf(6004,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5958]) ).

thf(6005,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5961]) ).

thf(6006,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( ~ ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
              | ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5961]) ).

thf(6007,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[5962]) ).

thf(6008,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[5963]) ).

thf(6009,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          | ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5964]) ).

thf(6010,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          | ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5965]) ).

thf(6011,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5966]) ).

thf(6012,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5967]) ).

thf(6013,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          | ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5968]) ).

thf(6014,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          | ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5969]) ).

thf(6015,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5970]) ).

thf(6016,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5971]) ).

thf(6017,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5972]) ).

thf(6018,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5972]) ).

thf(6019,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5973]) ).

thf(6020,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5973]) ).

thf(6021,plain,
    ! [SV883: real,SV708: real,SV467: real,SV163: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV163 @ SV467 ) )
        = $true )
      | ( ( SV163 = SV708 )
        = $true )
      | ( ( SV163 = SV708 )
        = $false )
      | ( ( SV467 = SV883 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5976]) ).

thf(6022,plain,
    ! [SV467: real,SV163: real,SV883: real,SV708: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV708 @ SV883 ) )
        = $true )
      | ( ( SV163 = SV708 )
        = $true )
      | ( ( SV163 = SV708 )
        = $false )
      | ( ( SV467 = SV883 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5977]) ).

thf(6023,plain,
    ! [SV708: real,SV883: real,SV467: real,SV163: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV163 @ SV467 ) )
        = $true )
      | ( ( SV467 = SV883 )
        = $true )
      | ( ( SV163 = SV708 )
        = $false )
      | ( ( SV467 = SV883 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5978]) ).

thf(6024,plain,
    ! [SV163: real,SV467: real,SV883: real,SV708: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV708 @ SV883 ) )
        = $true )
      | ( ( SV467 = SV883 )
        = $true )
      | ( ( SV163 = SV708 )
        = $false )
      | ( ( SV467 = SV883 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5979]) ).

thf(6025,plain,
    ! [SV883: real,SV708: real,SV467: real,SV163: real] :
      ( ( ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 )
          | ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) )
        = $false )
      | ( ( SV163 = SV708 )
        = $true )
      | ( ( ord_less_eq_real @ SV163 @ SV467 )
        = $true )
      | ( ( ord_less_eq_real @ SV708 @ SV883 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5980]) ).

thf(6026,plain,
    ! [SV883: real,SV708: real,SV467: real,SV163: real] :
      ( ( ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 )
          | ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) )
        = $false )
      | ( ( SV467 = SV883 )
        = $true )
      | ( ( ord_less_eq_real @ SV163 @ SV467 )
        = $true )
      | ( ( ord_less_eq_real @ SV708 @ SV883 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5981]) ).

thf(6027,plain,
    ! [SV962: set_Sum_sum_c_c,SV886: produc190496183real_c,SV481: produc190496183real_c] :
      ( ( ( denota1997846518gree_c @ SV481 @ SV886 @ SV962 )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ ( sK106_SY2674 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5982]) ).

thf(6028,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c] :
      ( ( ( ~ ( ~ ! [SY2673: c] :
                    ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2673 ) @ SV962 )
                    | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2673 )
                      = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2673 ) ) )
              | ~ ! [SY2674: c] :
                    ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
                    | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                      = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ ( sK106_SY2674 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5983]) ).

thf(6029,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c] :
      ( ( ( ~ ! [SY2673: c] :
                ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2673 ) @ SV962 )
                | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2673 )
                  = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2673 ) ) )
          | ~ ! [SY2674: c] :
                ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
                | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                  = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true )
      | ( ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ ( sK106_SY2674 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ ( sK106_SY2674 @ SV886 @ SV481 @ SV962 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5985]) ).

thf(6030,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c] :
      ( ( ( ~ ! [SY2673: c] :
                ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2673 ) @ SV962 )
                | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2673 )
                  = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2673 ) ) )
          | ~ ! [SY2674: c] :
                ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
                | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                  = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) )
        = $false )
      | ( ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ ( sK105_SY2674 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5987]) ).

thf(6031,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c] :
      ( ( ( ~ ! [SY2673: c] :
                ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2673 ) @ SV962 )
                | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2673 )
                  = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2673 ) ) ) )
        = $false )
      | ( ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) )
        = $false )
      | ( ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ ( sK105_SY2674 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ ( sK105_SY2674 @ SV886 @ SV481 @ SV962 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5988]) ).

thf(6032,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c] :
      ( ( ( ~ ! [SY2674: c] :
                ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
                | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                  = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) )
        = $false )
      | ( ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) )
        = $false )
      | ( ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ ( sK105_SY2674 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ ( sK105_SY2674 @ SV886 @ SV481 @ SV962 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5988]) ).

thf(6033,plain,
    ! [SV747: set_c,SV214: sum_sum_c_c,SV517: c > sum_sum_c_c,SV977: c] :
      ( ( ( member_c @ ( sK109_SY2491 @ SV977 @ SV517 @ SV214 @ SV747 ) @ SV747 )
        = $true )
      | ( ( member_c @ SV977 @ SV747 )
        = $false )
      | ( ( SV214
          = ( SV517 @ SV977 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5989]) ).

thf(6034,plain,
    ! [SV747: set_c,SV977: c,SV517: c > sum_sum_c_c,SV214: sum_sum_c_c] :
      ( ( ( SV214
          = ( SV517 @ ( sK109_SY2491 @ SV977 @ SV517 @ SV214 @ SV747 ) ) )
        = $true )
      | ( ( member_c @ SV977 @ SV747 )
        = $false )
      | ( ( SV214
          = ( SV517 @ SV977 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5990]) ).

thf(6035,plain,
    ! [SV842: set_c,SV327: set_Sum_sum_c_c,SV631: c > sum_sum_c_c,SV979: set_c] :
      ( ( ( ord_less_eq_set_c @ ( sK110_SY2581 @ SV979 @ SV631 @ SV327 @ SV842 ) @ SV842 )
        = $true )
      | ( ( ord_less_eq_set_c @ SV979 @ SV842 )
        = $false )
      | ( ( SV327
          = ( image_c_Sum_sum_c_c @ SV631 @ SV979 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5991]) ).

thf(6036,plain,
    ! [SV842: set_c,SV979: set_c,SV631: c > sum_sum_c_c,SV327: set_Sum_sum_c_c] :
      ( ( ( SV327
          = ( image_c_Sum_sum_c_c @ SV631 @ ( sK110_SY2581 @ SV979 @ SV631 @ SV327 @ SV842 ) ) )
        = $true )
      | ( ( ord_less_eq_set_c @ SV979 @ SV842 )
        = $false )
      | ( ( SV327
          = ( image_c_Sum_sum_c_c @ SV631 @ SV979 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5992]) ).

thf(6037,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5993]) ).

thf(6038,plain,
    ! [SV645: formula_a_b_c,SV855: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5994]) ).

thf(6039,plain,
    ! [SV855: formula_a_b_c,SV645: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5995]) ).

thf(6040,plain,
    ! [SV645: formula_a_b_c,SV855: formula_a_b_c,SV364: denota231621370t_unit,SV53: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $true )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV645 ) )
        = $false )
      | ( ( member1895684704real_c @ SV53 @ ( denota968303861_a_b_c @ SV364 @ SV855 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5996]) ).

thf(6041,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[6001]) ).

thf(6042,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[6002]) ).

thf(6043,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[6003]) ).

thf(6044,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[6004]) ).

thf(6045,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          | ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[6005]) ).

thf(6046,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
          | ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[6006]) ).

thf(6047,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[6007]) ).

thf(6048,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[6008]) ).

thf(6049,plain,
    ! [SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[6009]) ).

thf(6050,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[6009]) ).

thf(6051,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[6010]) ).

thf(6052,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[6010]) ).

thf(6053,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[6013]) ).

thf(6054,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[6013]) ).

thf(6055,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[6014]) ).

thf(6056,plain,
    ! [SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[6014]) ).

thf(6057,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[6017]) ).

thf(6058,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[6018]) ).

thf(6059,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[6019]) ).

thf(6060,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[6020]) ).

thf(6061,plain,
    ! [SV883: real,SV708: real,SV467: real,SV163: real] :
      ( ( ( ord_less_eq_real @ SV163 @ SV467 )
        = $false )
      | ( ( SV163 = SV708 )
        = $true )
      | ( ( SV163 = SV708 )
        = $false )
      | ( ( SV467 = SV883 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[6021]) ).

thf(6062,plain,
    ! [SV467: real,SV163: real,SV883: real,SV708: real] :
      ( ( ( ord_less_eq_real @ SV708 @ SV883 )
        = $false )
      | ( ( SV163 = SV708 )
        = $true )
      | ( ( SV163 = SV708 )
        = $false )
      | ( ( SV467 = SV883 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[6022]) ).

thf(6063,plain,
    ! [SV708: real,SV883: real,SV467: real,SV163: real] :
      ( ( ( ord_less_eq_real @ SV163 @ SV467 )
        = $false )
      | ( ( SV467 = SV883 )
        = $true )
      | ( ( SV163 = SV708 )
        = $false )
      | ( ( SV467 = SV883 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[6023]) ).

thf(6064,plain,
    ! [SV163: real,SV467: real,SV883: real,SV708: real] :
      ( ( ( ord_less_eq_real @ SV708 @ SV883 )
        = $false )
      | ( ( SV467 = SV883 )
        = $true )
      | ( ( SV163 = SV708 )
        = $false )
      | ( ( SV467 = SV883 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[6024]) ).

thf(6065,plain,
    ! [SV883: real,SV708: real,SV467: real,SV163: real] :
      ( ( ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 ) )
        = $false )
      | ( ( SV163 = SV708 )
        = $true )
      | ( ( ord_less_eq_real @ SV163 @ SV467 )
        = $true )
      | ( ( ord_less_eq_real @ SV708 @ SV883 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[6025]) ).

thf(6066,plain,
    ! [SV467: real,SV163: real,SV883: real,SV708: real] :
      ( ( ( ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) )
        = $false )
      | ( ( SV163 = SV708 )
        = $true )
      | ( ( ord_less_eq_real @ SV163 @ SV467 )
        = $true )
      | ( ( ord_less_eq_real @ SV708 @ SV883 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[6025]) ).

thf(6067,plain,
    ! [SV708: real,SV883: real,SV467: real,SV163: real] :
      ( ( ( ~ ~ ( ord_less_eq_real @ SV163 @ SV467 ) )
        = $false )
      | ( ( SV467 = SV883 )
        = $true )
      | ( ( ord_less_eq_real @ SV163 @ SV467 )
        = $true )
      | ( ( ord_less_eq_real @ SV708 @ SV883 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[6026]) ).

thf(6068,plain,
    ! [SV163: real,SV467: real,SV883: real,SV708: real] :
      ( ( ( ~ ~ ( ord_less_eq_real @ SV708 @ SV883 ) )
        = $false )
      | ( ( SV467 = SV883 )
        = $true )
      | ( ( ord_less_eq_real @ SV163 @ SV467 )
        = $true )
      | ( ( ord_less_eq_real @ SV708 @ SV883 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[6026]) ).

thf(6069,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c] :
      ( ( ( ~ ! [SY2673: c] :
                ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2673 ) @ SV962 )
                | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2673 )
                  = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2673 ) ) )
          | ~ ! [SY2674: c] :
                ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
                | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                  = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ ( sK106_SY2674 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[6028]) ).

thf(6070,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c] :
      ( ( ( ~ ! [SY2673: c] :
                ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2673 ) @ SV962 )
                | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2673 )
                  = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2673 ) ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true )
      | ( ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ ( sK106_SY2674 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ ( sK106_SY2674 @ SV886 @ SV481 @ SV962 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[6029]) ).

thf(6071,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c] :
      ( ( ( ~ ! [SY2674: c] :
                ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
                | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                  = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true )
      | ( ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ ( sK106_SY2674 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ ( sK106_SY2674 @ SV886 @ SV481 @ SV962 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[6029]) ).

thf(6072,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c] :
      ( ( ( ~ ! [SY2673: c] :
                ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2673 ) @ SV962 )
                | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2673 )
                  = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2673 ) ) ) )
        = $false )
      | ( ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ ( sK105_SY2674 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[6030]) ).

thf(6073,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c] :
      ( ( ( ~ ! [SY2674: c] :
                ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
                | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                  = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) )
        = $false )
      | ( ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ ( sK105_SY2674 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[6030]) ).

thf(6074,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c] :
      ( ( ( ! [SY2673: c] :
              ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2673 ) @ SV962 )
              | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2673 )
                = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2673 ) ) ) )
        = $true )
      | ( ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) )
        = $false )
      | ( ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ ( sK105_SY2674 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ ( sK105_SY2674 @ SV886 @ SV481 @ SV962 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[6031]) ).

thf(6075,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c] :
      ( ( ( ! [SY2674: c] :
              ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
              | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) )
        = $true )
      | ( ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) )
        = $false )
      | ( ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ ( sK105_SY2674 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ ( sK105_SY2674 @ SV886 @ SV481 @ SV962 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[6032]) ).

thf(6076,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[6045]) ).

thf(6077,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[6045]) ).

thf(6078,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[6046]) ).

thf(6079,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( ~ ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[6046]) ).

thf(6080,plain,
    ! [SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[6049]) ).

thf(6081,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[6050]) ).

thf(6082,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[6051]) ).

thf(6083,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[6052]) ).

thf(6084,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[6053]) ).

thf(6085,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[6054]) ).

thf(6086,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[6055]) ).

thf(6087,plain,
    ! [SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[6056]) ).

thf(6088,plain,
    ! [SV883: real,SV708: real,SV467: real,SV163: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV163 @ SV467 ) )
        = $true )
      | ( ( SV163 = SV708 )
        = $true )
      | ( ( ord_less_eq_real @ SV163 @ SV467 )
        = $true )
      | ( ( ord_less_eq_real @ SV708 @ SV883 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[6065]) ).

thf(6089,plain,
    ! [SV467: real,SV163: real,SV883: real,SV708: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV708 @ SV883 ) )
        = $true )
      | ( ( SV163 = SV708 )
        = $true )
      | ( ( ord_less_eq_real @ SV163 @ SV467 )
        = $true )
      | ( ( ord_less_eq_real @ SV708 @ SV883 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[6066]) ).

thf(6090,plain,
    ! [SV708: real,SV883: real,SV467: real,SV163: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV163 @ SV467 ) )
        = $true )
      | ( ( SV467 = SV883 )
        = $true )
      | ( ( ord_less_eq_real @ SV163 @ SV467 )
        = $true )
      | ( ( ord_less_eq_real @ SV708 @ SV883 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[6067]) ).

thf(6091,plain,
    ! [SV163: real,SV467: real,SV883: real,SV708: real] :
      ( ( ( ~ ( ord_less_eq_real @ SV708 @ SV883 ) )
        = $true )
      | ( ( SV467 = SV883 )
        = $true )
      | ( ( ord_less_eq_real @ SV163 @ SV467 )
        = $true )
      | ( ( ord_less_eq_real @ SV708 @ SV883 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[6068]) ).

thf(6092,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c] :
      ( ( ( ~ ! [SY2673: c] :
                ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2673 ) @ SV962 )
                | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2673 )
                  = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2673 ) ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ ( sK106_SY2674 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[6069]) ).

thf(6093,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c] :
      ( ( ( ~ ! [SY2674: c] :
                ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
                | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                  = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ ( sK106_SY2674 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[6069]) ).

thf(6094,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c] :
      ( ( ( ! [SY2673: c] :
              ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2673 ) @ SV962 )
              | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2673 )
                = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2673 ) ) ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true )
      | ( ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ ( sK106_SY2674 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ ( sK106_SY2674 @ SV886 @ SV481 @ SV962 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[6070]) ).

thf(6095,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c] :
      ( ( ( ! [SY2674: c] :
              ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
              | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true )
      | ( ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ ( sK106_SY2674 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ ( sK106_SY2674 @ SV886 @ SV481 @ SV962 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[6071]) ).

thf(6096,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c] :
      ( ( ( ! [SY2673: c] :
              ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2673 ) @ SV962 )
              | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2673 )
                = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2673 ) ) ) )
        = $true )
      | ( ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ ( sK105_SY2674 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[6072]) ).

thf(6097,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c] :
      ( ( ( ! [SY2674: c] :
              ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
              | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) )
        = $true )
      | ( ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ ( sK105_SY2674 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[6073]) ).

thf(6098,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c,SV1042: c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SV1042 ) @ SV962 )
          | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SV1042 )
            = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SV1042 ) ) )
        = $true )
      | ( ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) )
        = $false )
      | ( ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ ( sK105_SY2674 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ ( sK105_SY2674 @ SV886 @ SV481 @ SV962 ) ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[6074]) ).

thf(6099,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c,SV1043: c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SV1043 ) @ SV962 )
          | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SV1043 )
            = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SV1043 ) ) )
        = $true )
      | ( ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) )
        = $false )
      | ( ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ ( sK105_SY2674 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ ( sK105_SY2674 @ SV886 @ SV481 @ SV962 ) ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[6075]) ).

thf(6100,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[6076]) ).

thf(6101,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[6077]) ).

thf(6102,plain,
    ! [SV881: formula_a_b_c,SV701: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[6078]) ).

thf(6103,plain,
    ! [SV701: formula_a_b_c,SV881: formula_a_b_c,SV456: denota231621370t_unit,SV152: produc190496183real_c] :
      ( ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $false )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV701 ) )
        = $true )
      | ( ( member1895684704real_c @ SV152 @ ( denota968303861_a_b_c @ SV456 @ SV881 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[6079]) ).

thf(6104,plain,
    ! [SV883: real,SV708: real,SV467: real,SV163: real] :
      ( ( ( ord_less_eq_real @ SV163 @ SV467 )
        = $false )
      | ( ( SV163 = SV708 )
        = $true )
      | ( ( ord_less_eq_real @ SV163 @ SV467 )
        = $true )
      | ( ( ord_less_eq_real @ SV708 @ SV883 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[6088]) ).

thf(6105,plain,
    ! [SV467: real,SV163: real,SV883: real,SV708: real] :
      ( ( ( ord_less_eq_real @ SV708 @ SV883 )
        = $false )
      | ( ( SV163 = SV708 )
        = $true )
      | ( ( ord_less_eq_real @ SV163 @ SV467 )
        = $true )
      | ( ( ord_less_eq_real @ SV708 @ SV883 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[6089]) ).

thf(6106,plain,
    ! [SV708: real,SV883: real,SV467: real,SV163: real] :
      ( ( ( ord_less_eq_real @ SV163 @ SV467 )
        = $false )
      | ( ( SV467 = SV883 )
        = $true )
      | ( ( ord_less_eq_real @ SV163 @ SV467 )
        = $true )
      | ( ( ord_less_eq_real @ SV708 @ SV883 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[6090]) ).

thf(6107,plain,
    ! [SV163: real,SV467: real,SV883: real,SV708: real] :
      ( ( ( ord_less_eq_real @ SV708 @ SV883 )
        = $false )
      | ( ( SV467 = SV883 )
        = $true )
      | ( ( ord_less_eq_real @ SV163 @ SV467 )
        = $true )
      | ( ( ord_less_eq_real @ SV708 @ SV883 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[6091]) ).

thf(6108,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c] :
      ( ( ( ! [SY2673: c] :
              ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SY2673 ) @ SV962 )
              | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SY2673 )
                = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SY2673 ) ) ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ ( sK106_SY2674 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[6092]) ).

thf(6109,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c] :
      ( ( ( ! [SY2674: c] :
              ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SY2674 ) @ SV962 )
              | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SY2674 )
                = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SY2674 ) ) ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ ( sK106_SY2674 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[6093]) ).

thf(6110,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c,SV1044: c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SV1044 ) @ SV962 )
          | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SV1044 )
            = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SV1044 ) ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true )
      | ( ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ ( sK106_SY2674 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ ( sK106_SY2674 @ SV886 @ SV481 @ SV962 ) ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[6094]) ).

thf(6111,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c,SV1045: c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SV1045 ) @ SV962 )
          | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SV1045 )
            = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SV1045 ) ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true )
      | ( ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ ( sK106_SY2674 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ ( sK106_SY2674 @ SV886 @ SV481 @ SV962 ) ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[6095]) ).

thf(6112,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c,SV1046: c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SV1046 ) @ SV962 )
          | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SV1046 )
            = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SV1046 ) ) )
        = $true )
      | ( ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ ( sK105_SY2674 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[6096]) ).

thf(6113,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c,SV1047: c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SV1047 ) @ SV962 )
          | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SV1047 )
            = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SV1047 ) ) )
        = $true )
      | ( ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ ( sK105_SY2674 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[6097]) ).

thf(6114,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c,SV1042: c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SV1042 ) @ SV962 ) )
        = $true )
      | ( ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SV1042 )
          = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SV1042 ) )
        = $true )
      | ( ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) )
        = $false )
      | ( ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ ( sK105_SY2674 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ ( sK105_SY2674 @ SV886 @ SV481 @ SV962 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[6098]) ).

thf(6115,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c,SV1043: c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SV1043 ) @ SV962 ) )
        = $true )
      | ( ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SV1043 )
          = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SV1043 ) )
        = $true )
      | ( ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) )
        = $false )
      | ( ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ ( sK105_SY2674 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ ( sK105_SY2674 @ SV886 @ SV481 @ SV962 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[6099]) ).

thf(6116,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c,SV1048: c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SV1048 ) @ SV962 )
          | ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SV1048 )
            = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SV1048 ) ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ ( sK106_SY2674 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[6108]) ).

thf(6117,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c,SV1049: c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SV1049 ) @ SV962 )
          | ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SV1049 )
            = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SV1049 ) ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ ( sK106_SY2674 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[6109]) ).

thf(6118,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c,SV1044: c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SV1044 ) @ SV962 ) )
        = $true )
      | ( ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SV1044 )
          = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SV1044 ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true )
      | ( ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ ( sK106_SY2674 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ ( sK106_SY2674 @ SV886 @ SV481 @ SV962 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[6110]) ).

thf(6119,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c,SV1045: c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SV1045 ) @ SV962 ) )
        = $true )
      | ( ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SV1045 )
          = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SV1045 ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true )
      | ( ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ ( sK106_SY2674 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ ( sK106_SY2674 @ SV886 @ SV481 @ SV962 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[6111]) ).

thf(6120,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c,SV1046: c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SV1046 ) @ SV962 ) )
        = $true )
      | ( ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SV1046 )
          = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SV1046 ) )
        = $true )
      | ( ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ ( sK105_SY2674 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[6112]) ).

thf(6121,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c,SV1047: c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SV1047 ) @ SV962 ) )
        = $true )
      | ( ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SV1047 )
          = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SV1047 ) )
        = $true )
      | ( ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ ( sK105_SY2674 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[6113]) ).

thf(6122,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c,SV1042: c] :
      ( ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SV1042 ) @ SV962 )
        = $false )
      | ( ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SV1042 )
          = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SV1042 ) )
        = $true )
      | ( ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) )
        = $false )
      | ( ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ ( sK105_SY2674 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ ( sK105_SY2674 @ SV886 @ SV481 @ SV962 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[6114]) ).

thf(6123,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c,SV1043: c] :
      ( ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SV1043 ) @ SV962 )
        = $false )
      | ( ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SV1043 )
          = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SV1043 ) )
        = $true )
      | ( ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) )
        = $false )
      | ( ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ ( sK105_SY2674 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ ( sK105_SY2674 @ SV886 @ SV481 @ SV962 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[6115]) ).

thf(6124,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c,SV1048: c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SV1048 ) @ SV962 ) )
        = $true )
      | ( ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SV1048 )
          = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SV1048 ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ ( sK106_SY2674 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[6116]) ).

thf(6125,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c,SV1049: c] :
      ( ( ( ~ ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SV1049 ) @ SV962 ) )
        = $true )
      | ( ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SV1049 )
          = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SV1049 ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ ( sK106_SY2674 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[6117]) ).

thf(6126,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c,SV1044: c] :
      ( ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SV1044 ) @ SV962 )
        = $false )
      | ( ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SV1044 )
          = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SV1044 ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true )
      | ( ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ ( sK106_SY2674 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ ( sK106_SY2674 @ SV886 @ SV481 @ SV962 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[6118]) ).

thf(6127,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c,SV1045: c] :
      ( ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SV1045 ) @ SV962 )
        = $false )
      | ( ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SV1045 )
          = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SV1045 ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true )
      | ( ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ ( sK106_SY2674 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ ( sK106_SY2674 @ SV886 @ SV481 @ SV962 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[6119]) ).

thf(6128,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c,SV1046: c] :
      ( ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SV1046 ) @ SV962 )
        = $false )
      | ( ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SV1046 )
          = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SV1046 ) )
        = $true )
      | ( ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ ( sK105_SY2674 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[6120]) ).

thf(6129,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c,SV1047: c] :
      ( ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SV1047 ) @ SV962 )
        = $false )
      | ( ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SV1047 )
          = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SV1047 ) )
        = $true )
      | ( ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) )
          = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) )
        = $false )
      | ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ ( sK105_SY2674 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[6121]) ).

thf(6130,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c,SV1048: c] :
      ( ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ SV1048 ) @ SV962 )
        = $false )
      | ( ( ( finite772340578real_c @ ( produc2010422875real_c @ SV481 ) @ SV1048 )
          = ( finite772340578real_c @ ( produc2010422875real_c @ SV886 ) @ SV1048 ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ ( sK106_SY2674 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[6124]) ).

thf(6131,plain,
    ! [SV886: produc190496183real_c,SV481: produc190496183real_c,SV962: set_Sum_sum_c_c,SV1049: c] :
      ( ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ SV1049 ) @ SV962 )
        = $false )
      | ( ( ( finite772340578real_c @ ( produc314122909real_c @ SV481 ) @ SV1049 )
          = ( finite772340578real_c @ ( produc314122909real_c @ SV886 ) @ SV1049 ) )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sum_Inl_c_c @ ( sK102_SY2673 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true )
      | ( ( member_Sum_sum_c_c @ ( sum_Inr_c_c @ ( sK106_SY2674 @ SV886 @ SV481 @ SV962 ) ) @ SV962 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[6125]) ).

thf(6132,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[741,6131,6130,6129,6128,6127,6126,6123,6122,6107,6106,6105,6104,6103,6102,6101,6100,6087,6086,6085,6084,6083,6082,6081,6080,6064,6063,6062,6061,6060,6059,6058,6057,6048,6047,6044,6043,6042,6041,6040,6039,6038,6037,6036,6035,6034,6033,6027,6016,6015,6012,6011,6000,5999,5998,5997,5986,5984,5975,5974,5960,5959,5956,5955,5954,5953,5946,5945,5944,5943,5941,5940,5937,5876,5871,5870,5855,5854,5850,5849,5848,5847,5842,5839,5835,5834,5833,5832,5824,5821,5820,5819,5818,5814,5813,5811,5810,5809,5808,5807,5806,5804,5803,5802,5801,5800,5799,5798,5797,5795,5794,5787,5780,5767,5762,5758,5757,5752,5749,5748,5747,5746,5742,5741,5734,5733,5725,5724,5720,5719,5718,5717,5716,5715,5694,5693,5685,5684,5681,5680,5678,5677,5676,5674,5668,5659,5658,5657,5654,5651,5649,5646,5644,5643,5642,5641,5638,5636,5631,5630,5627,5625,5623,5614,5611,5598,5596,5595,5594,5593,5592,5591,5589,5585,5584,5579,5578,5575,5572,5571,5569,5568,5567,5566,5565,5564,5563,5562,5561,5560,5559,5558,5557,5556,5555,5554,5553,5552,5551,5550,5549,5548,5547,5546,5545,5544,5543,5542,5541,5540,5539,5538,5537,5536,5535,5534,5533,5532,5531,5530,5529,5528,5527,5526,5525,5524,5523,5522,5517,5506,5505,5502,5500,5488,5486,5479,5467,5457,5445,5443,5442,5441,5440,5435,5429,5415,5363,5355,5354,5351,5350,5345,5344,5341,5340,5337,5336,5333,5332,5326,5322,5321,5317,5316,5313,5312,5309,5308,5307,5303,5300,5299,5296,5295,5292,5291,5288,5287,5261,5257,5256,5253,5252,5246,5242,5236,5235,5201,5192,5191,5183,5178,5172,5161,5156,5148,5143,5142,5140,5135,5130,5121,5115,5114,5110,5104,5103,5095,5090,5083,5080,5079,5074,5073,5042,5037,5036,5035,5024,5000,4999,4957,4946,4937,4936,4897,4894,4891,4890,4889,4888,4885,4884,4877,4874,4867,4866,4865,4864,4863,4862,4859,4855,4851,4847,4845,4842,4836,4831,4827,4824,4823,4818,4812,4808,4804,4801,4800,4799,4793,4776,4772,4768,4767,4763,4749,4736,4735,4734,4733,4732,4731,4730,4729,4728,4727,4726,4725,4724,4723,4722,4721,4720,4719,4718,4717,4716,4715,4714,4713,4712,4706,4705,4701,4700,4699,4697,4692,4688,4680,4676,4672,4671,4662,4661,4660,4659,4646,4645,4644,4633,4620,4614,4613,4609,4604,4591,4589,4579,4578,4570,4569,4568,4566,4559,4554,4544,4541,4538,4536,4535,4532,4528,4527,4526,4525,4524,4522,4520,4518,4516,4515,4514,4513,4512,4510,4508,4506,4504,4503,4502,4501,4500,4498,4496,4494,4492,4491,4490,4489,4488,4487,4486,4485,4484,4483,4482,4481,4459,4458,4456,4455,4453,4452,4450,4449,4447,4446,4440,4439,4438,4437,4436,4435,4430,4428,4421,4420,4398,4397,4396,4395,4394,4393,4392,4390,4389,4386,4385,4375,4373,4371,4368,4363,4360,4357,4356,4351,4350,4347,4346,4330,4329,4324,4323,4300,4297,4296,4292,4291,4290,4288,4279,4278,4211,4207,4203,4199,4195,4194,4193,4192,4191,4190,4189,4188,4187,4186,4185,4184,4183,4179,4178,4177,4176,4171,4170,4169,4168,4167,4166,4165,4164,4163,4162,4161,4160,4159,4155,4154,4153,4152,4151,4150,4149,4148,4147,4146,4145,4144,4143,4142,4141,4140,4139,4138,4137,4136,4135,4134,4133,4132,4129,4122,4121,4118,4110,4103,4102,4098,4093,4092,4087,4086,4085,4083,4082,4081,4080,4079,4075,4070,4063,4062,4061,4060,4053,4052,4050,4049,4048,4047,4044,4038,4037,4036,4033,4032,4031,4030,4027,4026,4016,4013,4010,4008,4007,4006,4005,4003,3994,3993,3992,3991,3990,3989,3985,3982,3981,3980,3977,3974,3971,3965,3964,3963,3962,3957,3956,3955,3951,3948,3947,3944,3933,3930,3928,3925,3924,3921,3918,3917,3911,3908,3899,3898,3897,3827,3826,3825,3824,3815,3814,3813,3812,3811,3810,3809,3808,3807,3806,3805,3804,3803,3802,3801,3800,3795,3794,3793,3792,3791,3790,3789,3788,3787,3786,3785,3784,3783,3782,3781,3780,3779,3778,3741,3738,3730,3728,3722,3721,3717,3713,3711,3707,3702,3697,3693,3687,3682,3681,3680,3678,3675,3667,3661,3659,3653,3650,3645,3644,3641,3635,3626,3619,3617,3606,3603,3597,3595,3591,3587,3586,3585,3582,3581,3578,3572,3570,3568,3566,3564,3562,3561,3559,3556,3553,3545,3541,3531,3525,3521,3518,3516,3514,3509,3496,3493,3492,3405,3403,3382,3381,3380,3379,3368,3360,3345,3334,3326,3321,3305,3301,3261,3254,3229,3204,3203,3200,3174,3159,3131,3082,3076,3075,3074,3072,3069,3065,3063,3059,3055,3052,3051,3050,3043,3041,3040,3039,3021,3020,3018,3016,3001,3000,2999,2991,2985,2973,2971,2967,2966,2962,2955,2948,2939,2936,2929,2927,2926,2923,2922,2914,2913,2910,2908,2907,2903,2899,2898,2890,2889,2868,2863,2861,2857,2853,2852,2844,2827,2825,2823,2821,2819,2817,2807,2801,2780,2778,2769,2766,2755,2743,2737,2690,2667,2636,2633,2622,2609,2582,2573,2549,2545,2541,2536,2533,2531,2528,2519,2516,2513,2510,2508,2506,2488,2459,2451,2447,2445,2431,2423,2416,2392,2390,2369,2360,2354,2342,2340,2339,2317,2315,2303,2296,2295,2279,2268,2260,2256,2254,2253,2240,2230,2225,2224,2220,2217,2214,2206,2199,2182,2180,2178,2176,2174,2172,2170,2169,2168,2167,2166,2165,2164,2162,2160,2158,2156,2154,2152,2150,2147,2143,2141,2139,2133,2127,2125,2123,2121,2119,2117,2115,2113,2111,2109,2107,2105,2077,2076,2059,1992,1907,1870,1846,1845,1841,1840,1835,1834,1833,1832,1831,1830,1829,1828,1827,1826,1825,1824,1805,1804,1799,1798,1795,1794,1793,1790,1788,1786,1784,1782,1781,1780,1778,1776,1774,1772,1767,1766,1756,1742,1740,1717,1686,1684,1650,1637,1634,1612,1598,1590,1575,1527,1518,1511,1489,1478,1476,1474,1472,1470,1468,1466,1464,1462,1460,1458,1456,1454,1452,1451,1450,1449,1447,1445,1443,1441,1433,1422,1416,1414,1412,1410,1402,1401,1392,1390,1388,1387,1385,1382,1381,1380,1379,1378,1377,1370,1367,1365,1363,1362,1361,1360,1358,867,825,824,812,788,787,776,773,772,771,769,768,756,755,754,753,742]) ).

thf(6133,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[6132]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : ITP040^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04  % Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.17  % Computer : n016.cluster.edu
% 0.08/0.17  % Model    : x86_64 x86_64
% 0.08/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17  % Memory   : 8046.5625MB
% 0.08/0.17  % OS       : Linux 6.8.0-71-generic
% 0.08/0.17  % CPULimit : 300
% 0.08/0.17  % WCLimit  : 300
% 0.08/0.17  % DateTime : Tue Oct  6 11:19:59 UTC 2026
% 0.08/0.17  % CPUTime  : 
% 0.08/0.17  Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 241.77/40.94  ...
% 241.77/40.94  
% 241.77/40.94   No.of.Axioms: 368
% 241.77/40.94  
% 241.77/40.94   Length.of.Defs: 0
% 241.77/40.94  
% 241.77/40.94   Contains.Choice.Funs: false
% 241.77/40.94  ...................................................................................................................................................................................
% 241.77/40.94  
% 241.77/40.94  ********************************
% 241.77/40.94  *   All subproblems solved!    *
% 241.77/40.94  ********************************
% 241.77/40.94  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:368,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:6132,loop_count:0,foatp_calls:1,translation:fof_full)
% 241.77/40.94  
% 241.77/40.94  %**** Beginning of derivation protocol ****
% 241.77/40.94  % SZS output start CNFRefutation
% See solution above
% 241.77/41.00  
% 241.77/41.00  %**** End of derivation protocol ****
% 241.77/41.00  %**** no. of clauses in derivation: 6133 ****
% 241.77/41.00  %**** clause counter: 6132 ****
% 241.77/41.00  
% 241.77/41.00  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:368,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:6132,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------