%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : ITP036^1 : 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/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 10:23:42 AM UTC 2026
% Result : Theorem 32.68s 5.78s
% Output : CNFRefutation 5.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 134
% Syntax : Number of formulae : 1969 ( 874 unt; 0 typ; 0 def)
% Number of atoms : 11900 (5309 equ; 0 cnn)
% Maximal formula atoms : 6 ( 6 avg)
% Number of connectives : 22588 (4337 ~;3325 |; 44 &;14612 @)
% ( 0 <=>; 270 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Number of types : 22 ( 21 usr)
% Number of type conns : 422 ( 422 >; 0 *; 0 +; 0 <<)
% Number of symbols : 154 ( 151 usr; 15 con; 0-4 aty)
% Number of variables : 6422 ( 129 ^;6255 !; 38 ?;6422 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_denota231621370t_unit,type,
denota231621370t_unit: $tType ).
thf(tp_finite1398487019real_c,type,
finite1398487019real_c: $tType ).
thf(tp_hp_a_b_c,type,
hp_a_b_c: $tType ).
thf(tp_produc1037099239real_c,type,
produc1037099239real_c: $tType ).
thf(tp_produc1360640805um_b_c,type,
produc1360640805um_b_c: $tType ).
thf(tp_produc1415638375um_b_c,type,
produc1415638375um_b_c: $tType ).
thf(tp_produc1470506001real_c,type,
produc1470506001real_c: $tType ).
thf(tp_produc1573491071um_c_c,type,
produc1573491071um_c_c: $tType ).
thf(tp_produc190496183real_c,type,
produc190496183real_c: $tType ).
thf(tp_produc214722967um_c_c,type,
produc214722967um_c_c: $tType ).
thf(tp_produc263671631um_b_c,type,
produc263671631um_b_c: $tType ).
thf(tp_produc640052711real_c,type,
produc640052711real_c: $tType ).
thf(tp_produc777402865um_c_c,type,
produc777402865um_c_c: $tType ).
thf(tp_produc793920321um_c_c,type,
produc793920321um_c_c: $tType ).
thf(tp_set_Pr1389752855real_c,type,
set_Pr1389752855real_c: $tType ).
thf(tp_set_Pr242060487real_c,type,
set_Pr242060487real_c: $tType ).
thf(tp_set_Pr754230471real_c,type,
set_Pr754230471real_c: $tType ).
thf(tp_set_Su1783761653um_b_c,type,
set_Su1783761653um_b_c: $tType ).
thf(tp_set_Sum_sum_c_c,type,
set_Sum_sum_c_c: $tType ).
thf(tp_sum_su737395349um_b_c,type,
sum_su737395349um_b_c: $tType ).
thf(tp_sum_sum_c_c,type,
sum_sum_c_c: $tType ).
thf(tp_a,type,
a: hp_a_b_c ).
thf(tp_b,type,
b: hp_a_b_c ).
thf(tp_bNF_Ca1667803246um_c_c,type,
bNF_Ca1667803246um_c_c: set_Pr754230471real_c > ( produc190496183real_c > set_Sum_sum_c_c ) > $o ).
thf(tp_bNF_Ca1693016812um_c_c,type,
bNF_Ca1693016812um_c_c: set_Pr1389752855real_c > ( finite1398487019real_c > set_Sum_sum_c_c ) > $o ).
thf(tp_bNF_Ca318582436um_b_c,type,
bNF_Ca318582436um_b_c: set_Pr1389752855real_c > ( finite1398487019real_c > set_Su1783761653um_b_c ) > $o ).
thf(tp_bNF_Ca419199138um_b_c,type,
bNF_Ca419199138um_b_c: set_Pr754230471real_c > ( produc190496183real_c > set_Su1783761653um_b_c ) > $o ).
thf(tp_choice_a_b_c,type,
choice_a_b_c: hp_a_b_c > hp_a_b_c > hp_a_b_c ).
thf(tp_coinci1852866155_a_b_c,type,
coinci1852866155_a_b_c: hp_a_b_c > $o ).
thf(tp_coinci354700372_a_b_c,type,
coinci354700372_a_b_c: hp_a_b_c > denota231621370t_unit > denota231621370t_unit > $o ).
thf(tp_coinci772602909_a_b_c,type,
coinci772602909_a_b_c: hp_a_b_c > denota231621370t_unit > $o ).
thf(tp_collec1126017874real_c,type,
collec1126017874real_c: ( produc640052711real_c > $o ) > set_Pr754230471real_c ).
thf(tp_collec2086029184um_b_c,type,
collec2086029184um_b_c: ( sum_su737395349um_b_c > $o ) > set_Su1783761653um_b_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_denota1997846518gree_c,type,
denota1997846518gree_c: produc190496183real_c > produc190496183real_c > set_Sum_sum_c_c > $o ).
thf(tp_denota69106024_a_b_c,type,
denota69106024_a_b_c: denota231621370t_unit > denota231621370t_unit > set_Su1783761653um_b_c > $o ).
thf(tp_denota904684656_a_b_c,type,
denota904684656_a_b_c: denota231621370t_unit > hp_a_b_c > set_Pr754230471real_c ).
thf(tp_hpsafe_a_b_c,type,
hpsafe_a_b_c: hp_a_b_c > $o ).
thf(tp_i,type,
i: denota231621370t_unit ).
thf(tp_j,type,
j: denota231621370t_unit ).
thf(tp_member1893232190um_b_c,type,
member1893232190um_b_c: sum_su737395349um_b_c > set_Su1783761653um_b_c > $o ).
thf(tp_member1895684704real_c,type,
member1895684704real_c: produc190496183real_c > set_Pr1389752855real_c > $o ).
thf(tp_member346808080real_c,type,
member346808080real_c: produc640052711real_c > set_Pr754230471real_c > $o ).
thf(tp_member616151824real_c,type,
member616151824real_c: produc1037099239real_c > set_Pr242060487real_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_mu,type,
mu: produc190496183real_c ).
thf(tp_mu2,type,
mu2: finite1398487019real_c ).
thf(tp_mu3,type,
mu3: finite1398487019real_c ).
thf(tp_nu_1,type,
nu_1: finite1398487019real_c ).
thf(tp_nu_12,type,
nu_12: finite1398487019real_c ).
thf(tp_nu_2,type,
nu_2: finite1398487019real_c ).
thf(tp_nu_22,type,
nu_22: finite1398487019real_c ).
thf(tp_ord_le100418663real_c,type,
ord_le100418663real_c: set_Pr242060487real_c > set_Pr242060487real_c > $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_le1852514783um_c_c,type,
ord_le1852514783um_c_c: produc1573491071um_c_c > produc1573491071um_c_c > $o ).
thf(tp_ord_le1988344935real_c,type,
ord_le1988344935real_c: set_Pr754230471real_c > set_Pr754230471real_c > $o ).
thf(tp_ord_le542695343um_b_c,type,
ord_le542695343um_b_c: produc263671631um_b_c > produc263671631um_b_c > $o ).
thf(tp_ord_le652477831real_c,type,
ord_le652477831real_c: produc640052711real_c > produc640052711real_c > $o ).
thf(tp_ord_le684454199um_c_c,type,
ord_le684454199um_c_c: produc214722967um_c_c > produc214722967um_c_c > $o ).
thf(tp_ord_le775706699real_c,type,
ord_le775706699real_c: finite1398487019real_c > finite1398487019real_c > $o ).
thf(tp_ord_le850691415real_c,type,
ord_le850691415real_c: produc190496183real_c > produc190496183real_c > $o ).
thf(tp_ord_le907560199um_b_c,type,
ord_le907560199um_b_c: produc1415638375um_b_c > produc1415638375um_b_c > $o ).
thf(tp_ord_le929608341um_b_c,type,
ord_le929608341um_b_c: set_Su1783761653um_b_c > set_Su1783761653um_b_c > $o ).
thf(tp_ord_le977353143real_c,type,
ord_le977353143real_c: set_Pr1389752855real_c > set_Pr1389752855real_c > $o ).
thf(tp_order_1776530114um_c_c,type,
order_1776530114um_c_c: ( set_Sum_sum_c_c > $o ) > set_Sum_sum_c_c ).
thf(tp_order_365181262um_b_c,type,
order_365181262um_b_c: ( set_Su1783761653um_b_c > $o ) > set_Su1783761653um_b_c ).
thf(tp_produc1132019837um_c_c,type,
produc1132019837um_c_c: produc214722967um_c_c > set_Sum_sum_c_c ).
thf(tp_produc1193764051um_b_c,type,
produc1193764051um_b_c: produc263671631um_b_c > set_Su1783761653um_b_c ).
thf(tp_produc1333497635um_c_c,type,
produc1333497635um_c_c: set_Sum_sum_c_c > produc214722967um_c_c > produc777402865um_c_c ).
thf(tp_produc1439061071um_c_c,type,
produc1439061071um_c_c: set_Sum_sum_c_c > set_Sum_sum_c_c > produc214722967um_c_c ).
thf(tp_produc1455464333um_c_c,type,
produc1455464333um_c_c: produc1573491071um_c_c > set_Su1783761653um_b_c ).
thf(tp_produc1687028567real_c,type,
produc1687028567real_c: produc190496183real_c > produc190496183real_c > produc640052711real_c ).
thf(tp_produc1758795157um_b_c,type,
produc1758795157um_b_c: produc263671631um_b_c > set_Sum_sum_c_c ).
thf(tp_produc1961869763um_b_c,type,
produc1961869763um_b_c: produc1415638375um_b_c > set_Su1783761653um_b_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_produc2010919061um_b_c,type,
produc2010919061um_b_c: produc190496183real_c > set_Su1783761653um_b_c > produc1360640805um_b_c ).
thf(tp_produc314122909real_c,type,
produc314122909real_c: produc190496183real_c > finite1398487019real_c ).
thf(tp_produc350724343real_c,type,
produc350724343real_c: produc640052711real_c > produc640052711real_c ).
thf(tp_produc394644079real_c,type,
produc394644079real_c: finite1398487019real_c > finite1398487019real_c > produc190496183real_c ).
thf(tp_produc415593093real_c,type,
produc415593093real_c: produc640052711real_c > produc190496183real_c ).
thf(tp_produc439851843real_c,type,
produc439851843real_c: set_Sum_sum_c_c > produc190496183real_c > produc1470506001real_c ).
thf(tp_produc544496471real_c,type,
produc544496471real_c: produc640052711real_c > produc640052711real_c > produc1037099239real_c ).
thf(tp_produc616453753um_c_c,type,
produc616453753um_c_c: set_Su1783761653um_b_c > set_Sum_sum_c_c > produc1573491071um_c_c ).
thf(tp_produc639456571um_c_c,type,
produc639456571um_c_c: produc190496183real_c > set_Sum_sum_c_c > produc793920321um_c_c ).
thf(tp_produc704157711real_c,type,
produc704157711real_c: produc190496183real_c > produc190496183real_c ).
thf(tp_produc754249687um_b_c,type,
produc754249687um_b_c: set_Su1783761653um_b_c > set_Su1783761653um_b_c > produc1415638375um_b_c ).
thf(tp_produc876006723real_c,type,
produc876006723real_c: produc640052711real_c > produc190496183real_c ).
thf(tp_produc890433227um_c_c,type,
produc890433227um_c_c: produc1573491071um_c_c > set_Sum_sum_c_c ).
thf(tp_produc919784577um_b_c,type,
produc919784577um_b_c: set_Sum_sum_c_c > set_Su1783761653um_b_c > produc263671631um_b_c ).
thf(tp_produc932426501um_b_c,type,
produc932426501um_b_c: produc1415638375um_b_c > set_Su1783761653um_b_c ).
thf(tp_sK10_SY422,type,
sK10_SY422: produc190496183real_c > ( produc190496183real_c > $o ) > finite1398487019real_c ).
thf(tp_sK11_SY456,type,
sK11_SY456: produc640052711real_c > ( produc640052711real_c > $o ) > produc190496183real_c ).
thf(tp_sK12_SY643,type,
sK12_SY643: set_Pr754230471real_c > set_Pr754230471real_c > produc640052711real_c ).
thf(tp_sK13_SY479,type,
sK13_SY479: produc640052711real_c > ( produc640052711real_c > $o ) > produc190496183real_c ).
thf(tp_sK14_SY484,type,
sK14_SY484: produc190496183real_c > ( produc190496183real_c > $o ) > finite1398487019real_c ).
thf(tp_sK15_SY498,type,
sK15_SY498: produc640052711real_c > ( produc640052711real_c > $o ) > produc190496183real_c ).
thf(tp_sK16_SY761,type,
sK16_SY761: produc640052711real_c > finite1398487019real_c ).
thf(tp_sK17_SY762,type,
sK17_SY762: produc190496183real_c > ( produc190496183real_c > $o ) > finite1398487019real_c ).
thf(tp_sK18_SY763,type,
sK18_SY763: produc640052711real_c > ( produc640052711real_c > $o ) > produc190496183real_c ).
thf(tp_sK19_SY764,type,
sK19_SY764: produc640052711real_c > ( produc640052711real_c > $o ) > produc190496183real_c ).
thf(tp_sK1_SX0,type,
sK1_SX0: produc190496183real_c ).
thf(tp_sK20_SY765,type,
sK20_SY765: produc190496183real_c > ( produc190496183real_c > $o ) > finite1398487019real_c ).
thf(tp_sK21_SY766,type,
sK21_SY766: produc640052711real_c > ( produc640052711real_c > $o ) > finite1398487019real_c ).
thf(tp_sK22_SY743,type,
sK22_SY743: produc190496183real_c > finite1398487019real_c ).
thf(tp_sK23_SY553,type,
sK23_SY553: set_Sum_sum_c_c > set_Sum_sum_c_c > ( set_Sum_sum_c_c > set_Sum_sum_c_c > set_Sum_sum_c_c ) > set_Sum_sum_c_c ).
thf(tp_sK24_SY754,type,
sK24_SY754: produc640052711real_c > produc190496183real_c ).
thf(tp_sK25_SY768,type,
sK25_SY768: produc640052711real_c > ( produc640052711real_c > $o ) > finite1398487019real_c ).
thf(tp_sK26_SY769,type,
sK26_SY769: ( set_Sum_sum_c_c > set_Sum_sum_c_c > set_Sum_sum_c_c ) > set_Sum_sum_c_c > set_Sum_sum_c_c > set_Sum_sum_c_c ).
thf(tp_sK27_SY751,type,
sK27_SY751: set_Sum_sum_c_c > set_Sum_sum_c_c > set_Sum_sum_c_c > set_Sum_sum_c_c ).
thf(tp_sK28_SY740,type,
sK28_SY740: ( sum_sum_c_c > $o ) > set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).
thf(tp_sK29_SY759,type,
sK29_SY759: set_Pr754230471real_c > set_Pr754230471real_c > produc640052711real_c ).
thf(tp_sK2_SY428,type,
sK2_SY428: produc190496183real_c > finite1398487019real_c ).
thf(tp_sK30_SY760,type,
sK30_SY760: set_Pr754230471real_c > set_Pr754230471real_c > produc640052711real_c ).
thf(tp_sK31_SY770,type,
sK31_SY770: set_Sum_sum_c_c > set_Sum_sum_c_c > set_Sum_sum_c_c > set_Sum_sum_c_c ).
thf(tp_sK32_SY555,type,
sK32_SY555: set_Sum_sum_c_c > set_Sum_sum_c_c > ( set_Sum_sum_c_c > set_Sum_sum_c_c > set_Sum_sum_c_c ) > set_Sum_sum_c_c ).
thf(tp_sK33_SY620,type,
sK33_SY620: finite1398487019real_c > produc190496183real_c > finite1398487019real_c ).
thf(tp_sK34_SY621,type,
sK34_SY621: produc190496183real_c > produc640052711real_c > produc190496183real_c ).
thf(tp_sK35_SY741,type,
sK35_SY741: set_Sum_sum_c_c > ( sum_sum_c_c > $o ) > set_Sum_sum_c_c > sum_sum_c_c ).
thf(tp_sK36_SY771,type,
sK36_SY771: set_Sum_sum_c_c > set_Sum_sum_c_c > ( set_Sum_sum_c_c > set_Sum_sum_c_c > set_Sum_sum_c_c ) > set_Sum_sum_c_c ).
thf(tp_sK37_SY715,type,
sK37_SY715: produc190496183real_c > produc640052711real_c > produc190496183real_c ).
thf(tp_sK38_SY716,type,
sK38_SY716: finite1398487019real_c > produc190496183real_c > finite1398487019real_c ).
thf(tp_sK39_SY620,type,
sK39_SY620: finite1398487019real_c > finite1398487019real_c > produc190496183real_c > finite1398487019real_c ).
thf(tp_sK3_SY504,type,
sK3_SY504: produc640052711real_c > produc190496183real_c ).
thf(tp_sK40_SY621,type,
sK40_SY621: produc190496183real_c > produc190496183real_c > produc640052711real_c > produc190496183real_c ).
thf(tp_sK41_SY742,type,
sK41_SY742: set_Sum_sum_c_c > ( sum_sum_c_c > $o ) > set_Sum_sum_c_c > sum_sum_c_c ).
thf(tp_sK42_SY557,type,
sK42_SY557: set_Sum_sum_c_c > set_Sum_sum_c_c > ( set_Sum_sum_c_c > set_Sum_sum_c_c > set_Sum_sum_c_c ) > set_Sum_sum_c_c ).
thf(tp_sK43_SY715,type,
sK43_SY715: produc190496183real_c > produc190496183real_c > produc640052711real_c > produc190496183real_c ).
thf(tp_sK44_SY716,type,
sK44_SY716: finite1398487019real_c > finite1398487019real_c > produc190496183real_c > finite1398487019real_c ).
thf(tp_sK45_SY742,type,
sK45_SY742: set_Sum_sum_c_c > ( sum_sum_c_c > $o ) > set_Sum_sum_c_c > sum_sum_c_c ).
thf(tp_sK46_SY772,type,
sK46_SY772: ( set_Sum_sum_c_c > set_Sum_sum_c_c > set_Sum_sum_c_c ) > set_Sum_sum_c_c > set_Sum_sum_c_c > set_Sum_sum_c_c ).
thf(tp_sK47_SY774,type,
sK47_SY774: set_Sum_sum_c_c > set_Sum_sum_c_c > ( set_Sum_sum_c_c > set_Sum_sum_c_c > set_Sum_sum_c_c ) > set_Sum_sum_c_c ).
thf(tp_sK48_SY728,type,
sK48_SY728: sum_sum_c_c > ( sum_sum_c_c > $o ) > set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).
thf(tp_sK49_SY729,type,
sK49_SY729: sum_sum_c_c > set_Sum_sum_c_c > ( sum_sum_c_c > $o ) > set_Sum_sum_c_c > sum_sum_c_c ).
thf(tp_sK4_SY507,type,
sK4_SY507: produc640052711real_c > produc190496183real_c ).
thf(tp_sK50_SY728,type,
sK50_SY728: sum_sum_c_c > ( sum_sum_c_c > $o ) > set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).
thf(tp_sK51_SY728,type,
sK51_SY728: sum_sum_c_c > ( sum_sum_c_c > $o ) > set_Sum_sum_c_c > set_Sum_sum_c_c > sum_sum_c_c ).
thf(tp_sK52_SY729,type,
sK52_SY729: sum_sum_c_c > set_Sum_sum_c_c > ( sum_sum_c_c > $o ) > set_Sum_sum_c_c > sum_sum_c_c ).
thf(tp_sK53_SY729,type,
sK53_SY729: sum_sum_c_c > set_Sum_sum_c_c > ( sum_sum_c_c > $o ) > set_Sum_sum_c_c > sum_sum_c_c ).
thf(tp_sK54_SY730,type,
sK54_SY730: set_Sum_sum_c_c > sum_sum_c_c > ( sum_sum_c_c > $o ) > set_Sum_sum_c_c > sum_sum_c_c ).
thf(tp_sK55_SY730,type,
sK55_SY730: set_Sum_sum_c_c > sum_sum_c_c > ( sum_sum_c_c > $o ) > set_Sum_sum_c_c > sum_sum_c_c ).
thf(tp_sK56_SY730,type,
sK56_SY730: set_Sum_sum_c_c > sum_sum_c_c > ( sum_sum_c_c > $o ) > set_Sum_sum_c_c > sum_sum_c_c ).
thf(tp_sK57_SY730,type,
sK57_SY730: set_Sum_sum_c_c > sum_sum_c_c > ( sum_sum_c_c > $o ) > set_Sum_sum_c_c > sum_sum_c_c ).
thf(tp_sK58_SY730,type,
sK58_SY730: set_Sum_sum_c_c > sum_sum_c_c > ( sum_sum_c_c > $o ) > set_Sum_sum_c_c > sum_sum_c_c ).
thf(tp_sK59_SY730,type,
sK59_SY730: set_Sum_sum_c_c > sum_sum_c_c > ( sum_sum_c_c > $o ) > set_Sum_sum_c_c > sum_sum_c_c ).
thf(tp_sK5_SY549,type,
sK5_SY549: produc190496183real_c > finite1398487019real_c ).
thf(tp_sK6_SY578,type,
sK6_SY578: produc640052711real_c > produc190496183real_c ).
thf(tp_sK7_SY722,type,
sK7_SY722: produc190496183real_c > finite1398487019real_c ).
thf(tp_sK8_SY735,type,
sK8_SY735: produc640052711real_c > finite1398487019real_c ).
thf(tp_sK9_SY737,type,
sK9_SY737: produc640052711real_c > produc190496183real_c ).
thf(tp_same_f1974156740real_c,type,
same_f1974156740real_c: ( finite1398487019real_c > $o ) > ( finite1398487019real_c > set_Pr1389752855real_c ) > set_Pr754230471real_c ).
thf(tp_same_f598810924real_c,type,
same_f598810924real_c: ( produc190496183real_c > $o ) > ( produc190496183real_c > set_Pr754230471real_c ) > set_Pr242060487real_c ).
thf(tp_static_FVP_a_b_c,type,
static_FVP_a_b_c: hp_a_b_c > set_Sum_sum_c_c ).
thf(tp_static_MBV_a_b_c,type,
static_MBV_a_b_c: hp_a_b_c > set_Sum_sum_c_c ).
thf(tp_static_SIGP_a_b_c,type,
static_SIGP_a_b_c: hp_a_b_c > set_Su1783761653um_b_c ).
thf(tp_sup_su1009753337um_b_c,type,
sup_su1009753337um_b_c: produc1360640805um_b_c > produc1360640805um_b_c > produc1360640805um_b_c ).
thf(tp_sup_su1347303021um_c_c,type,
sup_su1347303021um_c_c: produc793920321um_c_c > produc793920321um_c_c > produc793920321um_c_c ).
thf(tp_sup_su1349021703um_c_c,type,
sup_su1349021703um_c_c: set_Sum_sum_c_c > set_Sum_sum_c_c > set_Sum_sum_c_c ).
thf(tp_sup_su1399591867real_c,type,
sup_su1399591867real_c: produc640052711real_c > produc640052711real_c > produc640052711real_c ).
thf(tp_sup_su1580927803um_b_c,type,
sup_su1580927803um_b_c: produc1415638375um_b_c > produc1415638375um_b_c > produc1415638375um_b_c ).
thf(tp_sup_su1639086475real_c,type,
sup_su1639086475real_c: produc190496183real_c > produc190496183real_c > produc190496183real_c ).
thf(tp_sup_su1672617323um_c_c,type,
sup_su1672617323um_c_c: produc214722967um_c_c > produc214722967um_c_c > produc214722967um_c_c ).
thf(tp_sup_su1731217579um_c_c,type,
sup_su1731217579um_c_c: produc1573491071um_c_c > produc1573491071um_c_c > produc1573491071um_c_c ).
thf(tp_sup_su1857314283real_c,type,
sup_su1857314283real_c: set_Pr1389752855real_c > set_Pr1389752855real_c > set_Pr1389752855real_c ).
thf(tp_sup_su1968964297um_b_c,type,
sup_su1968964297um_b_c: set_Su1783761653um_b_c > set_Su1783761653um_b_c > set_Su1783761653um_b_c ).
thf(tp_sup_su2023888701real_c,type,
sup_su2023888701real_c: produc1470506001real_c > produc1470506001real_c > produc1470506001real_c ).
thf(tp_sup_su2141622551real_c,type,
sup_su2141622551real_c: finite1398487019real_c > finite1398487019real_c > finite1398487019real_c ).
thf(tp_sup_su421398139um_b_c,type,
sup_su421398139um_b_c: produc263671631um_b_c > produc263671631um_b_c > produc263671631um_b_c ).
thf(tp_sup_su505296157um_c_c,type,
sup_su505296157um_c_c: produc777402865um_c_c > produc777402865um_c_c > produc777402865um_c_c ).
thf(tp_sup_su588839579real_c,type,
sup_su588839579real_c: set_Pr754230471real_c > set_Pr754230471real_c > set_Pr754230471real_c ).
thf(tp_sup_su880588443real_c,type,
sup_su880588443real_c: set_Pr242060487real_c > set_Pr242060487real_c > set_Pr242060487real_c ).
thf(tp_v,type,
v: set_Sum_sum_c_c ).
thf(1,axiom,
! [X: finite1398487019real_c,Y: finite1398487019real_c] :
( ( produc704157711real_c @ ( produc394644079real_c @ X @ Y ) )
= ( produc394644079real_c @ Y @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_353_swap__simp) ).
thf(2,axiom,
! [X: produc190496183real_c,Y: produc190496183real_c] :
( ( produc350724343real_c @ ( produc1687028567real_c @ X @ Y ) )
= ( produc1687028567real_c @ Y @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_352_swap__simp) ).
thf(5,axiom,
! [A: finite1398487019real_c,P2: produc190496183real_c] :
( ( A
= ( produc2010422875real_c @ P2 ) )
= ( ? [B4: finite1398487019real_c] :
( P2
= ( produc394644079real_c @ A @ B4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_349_eq__fst__iff) ).
thf(6,axiom,
! [A: produc190496183real_c,P2: produc640052711real_c] :
( ( A
= ( produc876006723real_c @ P2 ) )
= ( ? [B4: produc190496183real_c] :
( P2
= ( produc1687028567real_c @ A @ B4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_348_eq__fst__iff) ).
thf(7,axiom,
! [B: finite1398487019real_c,P2: produc190496183real_c] :
( ( B
= ( produc314122909real_c @ P2 ) )
= ( ? [A4: finite1398487019real_c] :
( P2
= ( produc394644079real_c @ A4 @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_347_eq__snd__iff) ).
thf(8,axiom,
! [B: produc190496183real_c,P2: produc640052711real_c] :
( ( B
= ( produc415593093real_c @ P2 ) )
= ( ? [A4: produc190496183real_c] :
( P2
= ( produc1687028567real_c @ A4 @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_346_eq__snd__iff) ).
thf(9,axiom,
! [X: produc190496183real_c,Y: finite1398487019real_c,Z: finite1398487019real_c] :
( ( X
= ( produc394644079real_c @ Y @ Z ) )
=> ( ( produc2010422875real_c @ X )
= Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_345_fstI) ).
thf(10,axiom,
! [X: produc640052711real_c,Y: produc190496183real_c,Z: produc190496183real_c] :
( ( X
= ( produc1687028567real_c @ Y @ Z ) )
=> ( ( produc876006723real_c @ X )
= Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_344_fstI) ).
thf(11,axiom,
! [X: produc190496183real_c,Y: finite1398487019real_c,Z: finite1398487019real_c] :
( ( X
= ( produc394644079real_c @ Y @ Z ) )
=> ( ( produc314122909real_c @ X )
= Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_343_sndI) ).
thf(12,axiom,
! [X: produc640052711real_c,Y: produc190496183real_c,Z: produc190496183real_c] :
( ( X
= ( produc1687028567real_c @ Y @ Z ) )
=> ( ( produc415593093real_c @ X )
= Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_342_sndI) ).
thf(23,axiom,
! [X: finite1398487019real_c,Y: finite1398487019real_c,A: finite1398487019real_c] :
( ( ( produc314122909real_c @ ( produc394644079real_c @ X @ Y ) )
= A )
=> ( Y = A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_331_snd__eqD) ).
thf(24,axiom,
! [X: produc190496183real_c,Y: produc190496183real_c,A: produc190496183real_c] :
( ( ( produc415593093real_c @ ( produc1687028567real_c @ X @ Y ) )
= A )
=> ( Y = A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_330_snd__eqD) ).
thf(25,axiom,
! [X1: finite1398487019real_c,X22: finite1398487019real_c] :
( ( produc314122909real_c @ ( produc394644079real_c @ X1 @ X22 ) )
= X22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_329_snd__conv) ).
thf(26,axiom,
! [X1: produc190496183real_c,X22: produc190496183real_c] :
( ( produc415593093real_c @ ( produc1687028567real_c @ X1 @ X22 ) )
= X22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_328_snd__conv) ).
thf(27,axiom,
! [X: finite1398487019real_c,Y: finite1398487019real_c,A: finite1398487019real_c] :
( ( ( produc2010422875real_c @ ( produc394644079real_c @ X @ Y ) )
= A )
=> ( X = A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_327_fst__eqD) ).
thf(28,axiom,
! [X: produc190496183real_c,Y: produc190496183real_c,A: produc190496183real_c] :
( ( ( produc876006723real_c @ ( produc1687028567real_c @ X @ Y ) )
= A )
=> ( X = A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_326_fst__eqD) ).
thf(29,axiom,
! [X1: finite1398487019real_c,X22: finite1398487019real_c] :
( ( produc2010422875real_c @ ( produc394644079real_c @ X1 @ X22 ) )
= X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_325_fst__conv) ).
thf(30,axiom,
! [X1: produc190496183real_c,X22: produc190496183real_c] :
( ( produc876006723real_c @ ( produc1687028567real_c @ X1 @ X22 ) )
= X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_324_fst__conv) ).
thf(50,axiom,
! [I3: denota231621370t_unit,Alpha2: hp_a_b_c,Beta: hp_a_b_c] :
( ( denota904684656_a_b_c @ I3 @ ( choice_a_b_c @ Alpha2 @ Beta ) )
= ( sup_su588839579real_c @ ( denota904684656_a_b_c @ I3 @ Alpha2 ) @ ( denota904684656_a_b_c @ I3 @ Beta ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_304_prog__sem_Osimps_I5_J) ).
thf(51,axiom,
! [Nu3: produc190496183real_c,Omega: produc190496183real_c,A2: set_Sum_sum_c_c,B2: set_Sum_sum_c_c] :
( ( denota1997846518gree_c @ Nu3 @ Omega @ A2 )
=> ( ( denota1997846518gree_c @ Nu3 @ Omega @ B2 )
=> ( denota1997846518gree_c @ Nu3 @ Omega @ ( sup_su1349021703um_c_c @ A2 @ B2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_303_agree__union) ).
thf(52,axiom,
! [P: produc640052711real_c > $o,X: produc640052711real_c] :
( ! [A7: produc190496183real_c,B7: finite1398487019real_c,C3: finite1398487019real_c] : ( P @ ( produc1687028567real_c @ A7 @ ( produc394644079real_c @ B7 @ C3 ) ) )
=> ( P @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_302_prod__induct3) ).
thf(53,axiom,
! [Y: produc640052711real_c] :
~ ! [A7: produc190496183real_c,B7: finite1398487019real_c,C3: finite1398487019real_c] :
( Y
!= ( produc1687028567real_c @ A7 @ ( produc394644079real_c @ B7 @ C3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_301_prod__cases3) ).
thf(54,axiom,
! [Nu3: produc190496183real_c,A2: set_Sum_sum_c_c] : ( denota1997846518gree_c @ Nu3 @ Nu3 @ A2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_300_agree__refl) ).
thf(55,axiom,
! [A2: produc190496183real_c,B2: produc190496183real_c,V3: set_Sum_sum_c_c] :
( ( denota1997846518gree_c @ A2 @ B2 @ V3 )
=> ( denota1997846518gree_c @ B2 @ A2 @ V3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_299_agree__comm) ).
thf(56,axiom,
! [P: produc190496183real_c > $o,Prod: produc190496183real_c] :
( ! [A7: finite1398487019real_c,B7: finite1398487019real_c] : ( P @ ( produc394644079real_c @ A7 @ B7 ) )
=> ( P @ Prod ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_298_old_Oprod_Oinducts) ).
thf(57,axiom,
! [P: produc640052711real_c > $o,Prod: produc640052711real_c] :
( ! [A7: produc190496183real_c,B7: produc190496183real_c] : ( P @ ( produc1687028567real_c @ A7 @ B7 ) )
=> ( P @ Prod ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_297_old_Oprod_Oinducts) ).
thf(58,axiom,
! [Y: produc190496183real_c] :
~ ! [A7: finite1398487019real_c,B7: finite1398487019real_c] :
( Y
!= ( produc394644079real_c @ A7 @ B7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_296_old_Oprod_Oexhaust) ).
thf(59,axiom,
! [Y: produc640052711real_c] :
~ ! [A7: produc190496183real_c,B7: produc190496183real_c] :
( Y
!= ( produc1687028567real_c @ A7 @ B7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_295_old_Oprod_Oexhaust) ).
thf(60,axiom,
! [A: finite1398487019real_c,B: finite1398487019real_c,A6: finite1398487019real_c,B6: finite1398487019real_c] :
( ( ( produc394644079real_c @ A @ B )
= ( produc394644079real_c @ A6 @ B6 ) )
=> ~ ( ( A = A6 )
=> ( B != B6 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_294_Pair__inject) ).
thf(61,axiom,
! [A: produc190496183real_c,B: produc190496183real_c,A6: produc190496183real_c,B6: produc190496183real_c] :
( ( ( produc1687028567real_c @ A @ B )
= ( produc1687028567real_c @ A6 @ B6 ) )
=> ~ ( ( A = A6 )
=> ( B != B6 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_293_Pair__inject) ).
thf(62,axiom,
! [P: produc190496183real_c > $o,P2: produc190496183real_c] :
( ! [A7: finite1398487019real_c,B7: finite1398487019real_c] : ( P @ ( produc394644079real_c @ A7 @ B7 ) )
=> ( P @ P2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_292_prod__cases) ).
thf(63,axiom,
! [P: produc640052711real_c > $o,P2: produc640052711real_c] :
( ! [A7: produc190496183real_c,B7: produc190496183real_c] : ( P @ ( produc1687028567real_c @ A7 @ B7 ) )
=> ( P @ P2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_291_prod__cases) ).
thf(64,axiom,
! [P2: produc190496183real_c] :
? [X2: finite1398487019real_c,Y4: finite1398487019real_c] :
( P2
= ( produc394644079real_c @ X2 @ Y4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_290_surj__pair) ).
thf(65,axiom,
! [P2: produc640052711real_c] :
? [X2: produc190496183real_c,Y4: produc190496183real_c] :
( P2
= ( produc1687028567real_c @ X2 @ Y4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_289_surj__pair) ).
thf(121,axiom,
! [X1: finite1398487019real_c,X22: finite1398487019real_c,Y1: finite1398487019real_c,Y22: finite1398487019real_c] :
( ( ( produc394644079real_c @ X1 @ X22 )
= ( produc394644079real_c @ Y1 @ Y22 ) )
= ( ( X1 = Y1 )
& ( X22 = Y22 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_233_prod_Oinject) ).
thf(122,axiom,
! [X1: produc190496183real_c,X22: produc190496183real_c,Y1: produc190496183real_c,Y22: produc190496183real_c] :
( ( ( produc1687028567real_c @ X1 @ X22 )
= ( produc1687028567real_c @ Y1 @ Y22 ) )
= ( ( X1 = Y1 )
& ( X22 = Y22 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_232_prod_Oinject) ).
thf(123,axiom,
! [A: finite1398487019real_c,B: finite1398487019real_c,A6: finite1398487019real_c,B6: finite1398487019real_c] :
( ( ( produc394644079real_c @ A @ B )
= ( produc394644079real_c @ A6 @ B6 ) )
= ( ( A = A6 )
& ( B = B6 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_231_old_Oprod_Oinject) ).
thf(124,axiom,
! [A: produc190496183real_c,B: produc190496183real_c,A6: produc190496183real_c,B6: produc190496183real_c] :
( ( ( produc1687028567real_c @ A @ B )
= ( produc1687028567real_c @ A6 @ B6 ) )
= ( ( A = A6 )
& ( B = B6 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_230_old_Oprod_Oinject) ).
thf(125,axiom,
! [A2: set_Sum_sum_c_c,B2: set_Sum_sum_c_c,Nu3: produc190496183real_c,Omega: produc190496183real_c] :
( ( ord_le1772180283um_c_c @ A2 @ B2 )
=> ( ( denota1997846518gree_c @ Nu3 @ Omega @ B2 )
=> ( denota1997846518gree_c @ Nu3 @ Omega @ A2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_229_agree__sub) ).
thf(126,axiom,
! [B2: set_Sum_sum_c_c,A2: set_Sum_sum_c_c,Nu3: produc190496183real_c,Nu4: produc190496183real_c] :
( ( ord_le1772180283um_c_c @ B2 @ A2 )
=> ( ( denota1997846518gree_c @ Nu3 @ Nu4 @ A2 )
=> ( denota1997846518gree_c @ Nu3 @ Nu4 @ B2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_228_agree__supset) ).
thf(127,axiom,
! [Alpha2: hp_a_b_c,Beta: hp_a_b_c] :
( ( static_FVP_a_b_c @ ( choice_a_b_c @ Alpha2 @ Beta ) )
= ( sup_su1349021703um_c_c @ ( static_FVP_a_b_c @ Alpha2 ) @ ( static_FVP_a_b_c @ Beta ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_227_FVP_Osimps_I6_J) ).
thf(132,axiom,
! [C: sum_sum_c_c,A2: set_Sum_sum_c_c,B2: set_Sum_sum_c_c] :
( ( member_Sum_sum_c_c @ C @ ( sup_su1349021703um_c_c @ A2 @ B2 ) )
=> ( ~ ( member_Sum_sum_c_c @ C @ A2 )
=> ( member_Sum_sum_c_c @ C @ B2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_222_UnE) ).
thf(133,axiom,
! [C: produc640052711real_c,A2: set_Pr754230471real_c,B2: set_Pr754230471real_c] :
( ( member346808080real_c @ C @ ( sup_su588839579real_c @ A2 @ B2 ) )
=> ( ~ ( member346808080real_c @ C @ A2 )
=> ( member346808080real_c @ C @ B2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_221_UnE) ).
thf(134,axiom,
! [C: sum_sum_c_c,A2: set_Sum_sum_c_c,B2: set_Sum_sum_c_c] :
( ( member_Sum_sum_c_c @ C @ A2 )
=> ( member_Sum_sum_c_c @ C @ ( sup_su1349021703um_c_c @ A2 @ B2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_220_UnI1) ).
thf(135,axiom,
! [C: produc640052711real_c,A2: set_Pr754230471real_c,B2: set_Pr754230471real_c] :
( ( member346808080real_c @ C @ A2 )
=> ( member346808080real_c @ C @ ( sup_su588839579real_c @ A2 @ B2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_219_UnI1) ).
thf(136,axiom,
! [C: sum_sum_c_c,B2: set_Sum_sum_c_c,A2: set_Sum_sum_c_c] :
( ( member_Sum_sum_c_c @ C @ B2 )
=> ( member_Sum_sum_c_c @ C @ ( sup_su1349021703um_c_c @ A2 @ B2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_218_UnI2) ).
thf(137,axiom,
! [C: produc640052711real_c,B2: set_Pr754230471real_c,A2: set_Pr754230471real_c] :
( ( member346808080real_c @ C @ B2 )
=> ( member346808080real_c @ C @ ( sup_su588839579real_c @ A2 @ B2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_217_UnI2) ).
thf(138,axiom,
! [A2: set_Sum_sum_c_c,B2: set_Sum_sum_c_c,P: sum_sum_c_c > $o] :
( ( ? [X3: sum_sum_c_c] :
( ( member_Sum_sum_c_c @ X3 @ ( sup_su1349021703um_c_c @ A2 @ B2 ) )
& ( P @ X3 ) ) )
= ( ? [X3: sum_sum_c_c] :
( ( member_Sum_sum_c_c @ X3 @ A2 )
& ( P @ X3 ) )
| ? [X3: sum_sum_c_c] :
( ( member_Sum_sum_c_c @ X3 @ B2 )
& ( P @ X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_216_bex__Un) ).
thf(139,axiom,
! [A2: set_Sum_sum_c_c,B2: set_Sum_sum_c_c,P: sum_sum_c_c > $o] :
( ( ! [X3: sum_sum_c_c] :
( ( member_Sum_sum_c_c @ X3 @ ( sup_su1349021703um_c_c @ A2 @ B2 ) )
=> ( P @ X3 ) ) )
= ( ! [X3: sum_sum_c_c] :
( ( member_Sum_sum_c_c @ X3 @ A2 )
=> ( P @ X3 ) )
& ! [X3: sum_sum_c_c] :
( ( member_Sum_sum_c_c @ X3 @ B2 )
=> ( P @ X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_215_ball__Un) ).
thf(140,axiom,
! [A2: set_Sum_sum_c_c,B2: set_Sum_sum_c_c,C2: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ ( sup_su1349021703um_c_c @ A2 @ B2 ) @ C2 )
= ( sup_su1349021703um_c_c @ A2 @ ( sup_su1349021703um_c_c @ B2 @ C2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_214_Un__assoc) ).
thf(141,axiom,
! [A2: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ A2 @ A2 )
= A2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_213_Un__absorb) ).
thf(142,axiom,
( sup_su1349021703um_c_c
= ( ^ [A3: set_Sum_sum_c_c,B3: set_Sum_sum_c_c] : ( sup_su1349021703um_c_c @ B3 @ A3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_212_Un__commute) ).
thf(143,axiom,
! [A2: set_Sum_sum_c_c,B2: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ A2 @ ( sup_su1349021703um_c_c @ A2 @ B2 ) )
= ( sup_su1349021703um_c_c @ A2 @ B2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_211_Un__left__absorb) ).
thf(144,axiom,
! [A2: set_Sum_sum_c_c,B2: set_Sum_sum_c_c,C2: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ A2 @ ( sup_su1349021703um_c_c @ B2 @ C2 ) )
= ( sup_su1349021703um_c_c @ B2 @ ( sup_su1349021703um_c_c @ A2 @ C2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_210_Un__left__commute) ).
thf(145,axiom,
! [X: set_Sum_sum_c_c,Y: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ X @ ( sup_su1349021703um_c_c @ X @ Y ) )
= ( sup_su1349021703um_c_c @ X @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_209_inf__sup__aci_I8_J) ).
thf(146,axiom,
! [X: set_Sum_sum_c_c,Y: set_Sum_sum_c_c,Z: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ X @ ( sup_su1349021703um_c_c @ Y @ Z ) )
= ( sup_su1349021703um_c_c @ Y @ ( sup_su1349021703um_c_c @ X @ Z ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_208_inf__sup__aci_I7_J) ).
thf(147,axiom,
! [X: set_Sum_sum_c_c,Y: set_Sum_sum_c_c,Z: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ ( sup_su1349021703um_c_c @ X @ Y ) @ Z )
= ( sup_su1349021703um_c_c @ X @ ( sup_su1349021703um_c_c @ Y @ Z ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_207_inf__sup__aci_I6_J) ).
thf(148,axiom,
( sup_su1349021703um_c_c
= ( ^ [X3: set_Sum_sum_c_c,Y5: set_Sum_sum_c_c] : ( sup_su1349021703um_c_c @ Y5 @ X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_206_inf__sup__aci_I5_J) ).
thf(149,axiom,
! [A2: set_Sum_sum_c_c,K: set_Sum_sum_c_c,A: set_Sum_sum_c_c,B: set_Sum_sum_c_c] :
( ( A2
= ( sup_su1349021703um_c_c @ K @ A ) )
=> ( ( sup_su1349021703um_c_c @ A2 @ B )
= ( sup_su1349021703um_c_c @ K @ ( sup_su1349021703um_c_c @ A @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_205_boolean__algebra__cancel_Osup1) ).
thf(150,axiom,
! [B2: set_Sum_sum_c_c,K: set_Sum_sum_c_c,B: set_Sum_sum_c_c,A: set_Sum_sum_c_c] :
( ( B2
= ( sup_su1349021703um_c_c @ K @ B ) )
=> ( ( sup_su1349021703um_c_c @ A @ B2 )
= ( sup_su1349021703um_c_c @ K @ ( sup_su1349021703um_c_c @ A @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_204_boolean__algebra__cancel_Osup2) ).
thf(151,axiom,
! [A: set_Sum_sum_c_c,B: set_Sum_sum_c_c,C: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ ( sup_su1349021703um_c_c @ A @ B ) @ C )
= ( sup_su1349021703um_c_c @ A @ ( sup_su1349021703um_c_c @ B @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_203_sup_Oassoc) ).
thf(152,axiom,
! [X: set_Sum_sum_c_c,Y: set_Sum_sum_c_c,Z: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ ( sup_su1349021703um_c_c @ X @ Y ) @ Z )
= ( sup_su1349021703um_c_c @ X @ ( sup_su1349021703um_c_c @ Y @ Z ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_202_sup__assoc) ).
thf(153,axiom,
( sup_su1349021703um_c_c
= ( ^ [A4: set_Sum_sum_c_c,B4: set_Sum_sum_c_c] : ( sup_su1349021703um_c_c @ B4 @ A4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_201_sup_Ocommute) ).
thf(154,axiom,
( sup_su1349021703um_c_c
= ( ^ [X3: set_Sum_sum_c_c,Y5: set_Sum_sum_c_c] : ( sup_su1349021703um_c_c @ Y5 @ X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_200_sup__commute) ).
thf(155,axiom,
! [B: set_Sum_sum_c_c,A: set_Sum_sum_c_c,C: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ B @ ( sup_su1349021703um_c_c @ A @ C ) )
= ( sup_su1349021703um_c_c @ A @ ( sup_su1349021703um_c_c @ B @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_199_sup_Oleft__commute) ).
thf(156,axiom,
! [X: set_Sum_sum_c_c,Y: set_Sum_sum_c_c,Z: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ X @ ( sup_su1349021703um_c_c @ Y @ Z ) )
= ( sup_su1349021703um_c_c @ Y @ ( sup_su1349021703um_c_c @ X @ Z ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_198_sup__left__commute) ).
thf(157,axiom,
! [A: hp_a_b_c,B: hp_a_b_c] :
( ( hpsafe_a_b_c @ A )
=> ( ( hpsafe_a_b_c @ B )
=> ( hpsafe_a_b_c @ ( choice_a_b_c @ A @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_197_hpsafe__fsafe_Ohpsafe__Choice) ).
thf(159,axiom,
! [A2: set_Sum_sum_c_c,C2: set_Sum_sum_c_c,B2: set_Sum_sum_c_c,D2: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ A2 @ C2 )
=> ( ( ord_le1772180283um_c_c @ B2 @ D2 )
=> ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ A2 @ B2 ) @ ( sup_su1349021703um_c_c @ C2 @ D2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_195_Un__mono) ).
thf(161,axiom,
! [A2: set_Sum_sum_c_c,C2: set_Sum_sum_c_c,B2: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ A2 @ C2 )
=> ( ( ord_le1772180283um_c_c @ B2 @ C2 )
=> ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ A2 @ B2 ) @ C2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_193_Un__least) ).
thf(163,axiom,
! [A2: set_Sum_sum_c_c,B2: set_Sum_sum_c_c] : ( ord_le1772180283um_c_c @ A2 @ ( sup_su1349021703um_c_c @ A2 @ B2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_191_Un__upper1) ).
thf(165,axiom,
! [B2: set_Sum_sum_c_c,A2: set_Sum_sum_c_c] : ( ord_le1772180283um_c_c @ B2 @ ( sup_su1349021703um_c_c @ A2 @ B2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_189_Un__upper2) ).
thf(167,axiom,
! [A2: set_Sum_sum_c_c,B2: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ A2 @ B2 )
=> ( ( sup_su1349021703um_c_c @ A2 @ B2 )
= B2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_187_Un__absorb1) ).
thf(169,axiom,
! [B2: set_Sum_sum_c_c,A2: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ B2 @ A2 )
=> ( ( sup_su1349021703um_c_c @ A2 @ B2 )
= A2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_185_Un__absorb2) ).
thf(171,axiom,
! [C2: set_Sum_sum_c_c,A2: set_Sum_sum_c_c,B2: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ C2 @ ( sup_su1349021703um_c_c @ A2 @ B2 ) )
=> ~ ! [A5: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ A5 @ A2 )
=> ! [B5: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ B5 @ B2 )
=> ( C2
!= ( sup_su1349021703um_c_c @ A5 @ B5 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_183_subset__UnE) ).
thf(173,axiom,
( ord_le1772180283um_c_c
= ( ^ [A3: set_Sum_sum_c_c,B3: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ A3 @ B3 )
= B3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_181_subset__Un__eq) ).
thf(175,axiom,
! [Y: set_Sum_sum_c_c,X: set_Sum_sum_c_c] : ( ord_le1772180283um_c_c @ Y @ ( sup_su1349021703um_c_c @ X @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_179_inf__sup__ord_I4_J) ).
thf(177,axiom,
! [X: set_Sum_sum_c_c,Y: set_Sum_sum_c_c] : ( ord_le1772180283um_c_c @ X @ ( sup_su1349021703um_c_c @ X @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_177_inf__sup__ord_I3_J) ).
thf(179,axiom,
! [A: set_Sum_sum_c_c,B: set_Sum_sum_c_c,X: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ A @ B ) @ X )
=> ~ ( ( ord_le1772180283um_c_c @ A @ X )
=> ~ ( ord_le1772180283um_c_c @ B @ X ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_175_le__supE) ).
thf(181,axiom,
! [A: set_Sum_sum_c_c,X: set_Sum_sum_c_c,B: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ A @ X )
=> ( ( ord_le1772180283um_c_c @ B @ X )
=> ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ A @ B ) @ X ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_173_le__supI) ).
thf(183,axiom,
! [X: set_Sum_sum_c_c,Y: set_Sum_sum_c_c] : ( ord_le1772180283um_c_c @ X @ ( sup_su1349021703um_c_c @ X @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_171_sup__ge1) ).
thf(185,axiom,
! [Y: set_Sum_sum_c_c,X: set_Sum_sum_c_c] : ( ord_le1772180283um_c_c @ Y @ ( sup_su1349021703um_c_c @ X @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_169_sup__ge2) ).
thf(187,axiom,
! [X: set_Sum_sum_c_c,A: set_Sum_sum_c_c,B: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ X @ A )
=> ( ord_le1772180283um_c_c @ X @ ( sup_su1349021703um_c_c @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_167_le__supI1) ).
thf(189,axiom,
! [X: set_Sum_sum_c_c,B: set_Sum_sum_c_c,A: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ X @ B )
=> ( ord_le1772180283um_c_c @ X @ ( sup_su1349021703um_c_c @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_165_le__supI2) ).
thf(191,axiom,
! [C: set_Sum_sum_c_c,A: set_Sum_sum_c_c,D: set_Sum_sum_c_c,B: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ C @ A )
=> ( ( ord_le1772180283um_c_c @ D @ B )
=> ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ C @ D ) @ ( sup_su1349021703um_c_c @ A @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_163_sup_Omono) ).
thf(193,axiom,
! [A: set_Sum_sum_c_c,C: set_Sum_sum_c_c,B: set_Sum_sum_c_c,D: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ A @ C )
=> ( ( ord_le1772180283um_c_c @ B @ D )
=> ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ A @ B ) @ ( sup_su1349021703um_c_c @ C @ D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_161_sup__mono) ).
thf(195,axiom,
! [Y: set_Sum_sum_c_c,X: set_Sum_sum_c_c,Z: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ Y @ X )
=> ( ( ord_le1772180283um_c_c @ Z @ X )
=> ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ Y @ Z ) @ X ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_159_sup__least) ).
thf(197,axiom,
( ord_le1772180283um_c_c
= ( ^ [X3: set_Sum_sum_c_c,Y5: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ X3 @ Y5 )
= Y5 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_157_le__iff__sup) ).
thf(199,axiom,
! [B: set_Sum_sum_c_c,A: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ B @ A )
=> ( A
= ( sup_su1349021703um_c_c @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_155_sup_OorderE) ).
thf(201,axiom,
! [A: set_Sum_sum_c_c,B: set_Sum_sum_c_c] :
( ( A
= ( sup_su1349021703um_c_c @ A @ B ) )
=> ( ord_le1772180283um_c_c @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_153_sup_OorderI) ).
thf(203,axiom,
! [F: set_Sum_sum_c_c > set_Sum_sum_c_c > set_Sum_sum_c_c,X: set_Sum_sum_c_c,Y: set_Sum_sum_c_c] :
( ! [X2: set_Sum_sum_c_c,Y4: set_Sum_sum_c_c] : ( ord_le1772180283um_c_c @ X2 @ ( F @ X2 @ Y4 ) )
=> ( ! [X2: set_Sum_sum_c_c,Y4: set_Sum_sum_c_c] : ( ord_le1772180283um_c_c @ Y4 @ ( F @ X2 @ Y4 ) )
=> ( ! [X2: set_Sum_sum_c_c,Y4: set_Sum_sum_c_c,Z3: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ Y4 @ X2 )
=> ( ( ord_le1772180283um_c_c @ Z3 @ X2 )
=> ( ord_le1772180283um_c_c @ ( F @ Y4 @ Z3 ) @ X2 ) ) )
=> ( ( sup_su1349021703um_c_c @ X @ Y )
= ( F @ X @ Y ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_151_sup__unique) ).
thf(205,axiom,
! [B: set_Sum_sum_c_c,A: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ B @ A )
=> ( ( sup_su1349021703um_c_c @ A @ B )
= A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_149_sup_Oabsorb1) ).
thf(207,axiom,
! [A: set_Sum_sum_c_c,B: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ A @ B )
=> ( ( sup_su1349021703um_c_c @ A @ B )
= B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_147_sup_Oabsorb2) ).
thf(209,axiom,
! [Y: set_Sum_sum_c_c,X: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ Y @ X )
=> ( ( sup_su1349021703um_c_c @ X @ Y )
= X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_145_sup__absorb1) ).
thf(211,axiom,
! [X: set_Sum_sum_c_c,Y: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ X @ Y )
=> ( ( sup_su1349021703um_c_c @ X @ Y )
= Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_143_sup__absorb2) ).
thf(213,axiom,
! [B: set_Sum_sum_c_c,C: set_Sum_sum_c_c,A: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ B @ C ) @ A )
=> ~ ( ( ord_le1772180283um_c_c @ B @ A )
=> ~ ( ord_le1772180283um_c_c @ C @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_141_sup_OboundedE) ).
thf(215,axiom,
! [B: set_Sum_sum_c_c,A: set_Sum_sum_c_c,C: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ B @ A )
=> ( ( ord_le1772180283um_c_c @ C @ A )
=> ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ B @ C ) @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_139_sup_OboundedI) ).
thf(217,axiom,
( ord_le1772180283um_c_c
= ( ^ [B4: set_Sum_sum_c_c,A4: set_Sum_sum_c_c] :
( A4
= ( sup_su1349021703um_c_c @ A4 @ B4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_137_sup_Oorder__iff) ).
thf(219,axiom,
! [A: set_Sum_sum_c_c,B: set_Sum_sum_c_c] : ( ord_le1772180283um_c_c @ A @ ( sup_su1349021703um_c_c @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_135_sup_Ocobounded1) ).
thf(221,axiom,
! [B: set_Sum_sum_c_c,A: set_Sum_sum_c_c] : ( ord_le1772180283um_c_c @ B @ ( sup_su1349021703um_c_c @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_133_sup_Ocobounded2) ).
thf(223,axiom,
( ord_le1772180283um_c_c
= ( ^ [B4: set_Sum_sum_c_c,A4: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ A4 @ B4 )
= A4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_131_sup_Oabsorb__iff1) ).
thf(225,axiom,
( ord_le1772180283um_c_c
= ( ^ [A4: set_Sum_sum_c_c,B4: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ A4 @ B4 )
= B4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_129_sup_Oabsorb__iff2) ).
thf(227,axiom,
! [C: set_Sum_sum_c_c,A: set_Sum_sum_c_c,B: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ C @ A )
=> ( ord_le1772180283um_c_c @ C @ ( sup_su1349021703um_c_c @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_127_sup_OcoboundedI1) ).
thf(229,axiom,
! [C: set_Sum_sum_c_c,B: set_Sum_sum_c_c,A: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ C @ B )
=> ( ord_le1772180283um_c_c @ C @ ( sup_su1349021703um_c_c @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_125_sup_OcoboundedI2) ).
thf(238,axiom,
! [A2: set_Pr754230471real_c] :
( ( collec1126017874real_c
@ ^ [X3: produc640052711real_c] : ( member346808080real_c @ X3 @ A2 ) )
= A2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_116_Collect__mem__eq) ).
thf(239,axiom,
! [A: produc640052711real_c,P: produc640052711real_c > $o] :
( ( member346808080real_c @ A @ ( collec1126017874real_c @ P ) )
= ( P @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_115_mem__Collect__eq) ).
thf(250,axiom,
( ord_le1988344935real_c
= ( ^ [A3: set_Pr754230471real_c,B3: set_Pr754230471real_c] :
! [T: produc640052711real_c] :
( ( member346808080real_c @ T @ A3 )
=> ( member346808080real_c @ T @ B3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_104_subset__iff) ).
thf(257,axiom,
( ord_le1988344935real_c
= ( ^ [A3: set_Pr754230471real_c,B3: set_Pr754230471real_c] :
! [X3: produc640052711real_c] :
( ( member346808080real_c @ X3 @ A3 )
=> ( member346808080real_c @ X3 @ B3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_97_subset__eq) ).
thf(262,axiom,
! [A2: set_Pr754230471real_c,B2: set_Pr754230471real_c,C: produc640052711real_c] :
( ( ord_le1988344935real_c @ A2 @ B2 )
=> ( ( member346808080real_c @ C @ A2 )
=> ( member346808080real_c @ C @ B2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_92_subsetD) ).
thf(265,axiom,
! [A2: set_Pr754230471real_c,B2: set_Pr754230471real_c,X: produc640052711real_c] :
( ( ord_le1988344935real_c @ A2 @ B2 )
=> ( ( member346808080real_c @ X @ A2 )
=> ( member346808080real_c @ X @ B2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_89_in__mono) ).
thf(268,axiom,
! [A: hp_a_b_c,B: hp_a_b_c] :
( ( hpsafe_a_b_c @ ( choice_a_b_c @ A @ B ) )
= ( ( hpsafe_a_b_c @ A )
& ( hpsafe_a_b_c @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_86_hpsafe__Choice__simps) ).
thf(270,axiom,
! [A2: set_Sum_sum_c_c,B2: set_Sum_sum_c_c,C2: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ A2 @ B2 ) @ C2 )
= ( ( ord_le1772180283um_c_c @ A2 @ C2 )
& ( ord_le1772180283um_c_c @ B2 @ C2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_84_Un__subset__iff) ).
thf(272,axiom,
! [X: set_Sum_sum_c_c,Y: set_Sum_sum_c_c,Z: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ X @ Y ) @ Z )
= ( ( ord_le1772180283um_c_c @ X @ Z )
& ( ord_le1772180283um_c_c @ Y @ Z ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_82_le__sup__iff) ).
thf(274,axiom,
! [B: set_Sum_sum_c_c,C: set_Sum_sum_c_c,A: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ B @ C ) @ A )
= ( ( ord_le1772180283um_c_c @ B @ A )
& ( ord_le1772180283um_c_c @ C @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_80_sup_Obounded__iff) ).
thf(283,axiom,
! [X: set_Sum_sum_c_c,Y: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ X @ ( sup_su1349021703um_c_c @ X @ Y ) )
= ( sup_su1349021703um_c_c @ X @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_71_sup__left__idem) ).
thf(289,axiom,
! [A: set_Sum_sum_c_c,B: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ ( sup_su1349021703um_c_c @ A @ B ) @ B )
= ( sup_su1349021703um_c_c @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_65_sup_Oright__idem) ).
thf(300,axiom,
! [A2: set_Pr754230471real_c,B2: set_Pr754230471real_c] :
( ! [X2: produc640052711real_c] :
( ( member346808080real_c @ X2 @ A2 )
=> ( member346808080real_c @ X2 @ B2 ) )
=> ( ord_le1988344935real_c @ A2 @ B2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_54_subsetI) ).
thf(303,axiom,
! [A: set_Sum_sum_c_c,B: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ A @ ( sup_su1349021703um_c_c @ A @ B ) )
= ( sup_su1349021703um_c_c @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_51_sup_Oleft__idem) ).
thf(309,axiom,
! [X: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ X @ X )
= X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_45_sup__idem) ).
thf(315,axiom,
! [A: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ A @ A )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_39_sup_Oidem) ).
thf(321,axiom,
! [C: sum_sum_c_c,A2: set_Sum_sum_c_c,B2: set_Sum_sum_c_c] :
( ( member_Sum_sum_c_c @ C @ ( sup_su1349021703um_c_c @ A2 @ B2 ) )
= ( ( member_Sum_sum_c_c @ C @ A2 )
| ( member_Sum_sum_c_c @ C @ B2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_33_Un__iff) ).
thf(322,axiom,
! [C: produc640052711real_c,A2: set_Pr754230471real_c,B2: set_Pr754230471real_c] :
( ( member346808080real_c @ C @ ( sup_su588839579real_c @ A2 @ B2 ) )
= ( ( member346808080real_c @ C @ A2 )
| ( member346808080real_c @ C @ B2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_32_Un__iff) ).
thf(326,axiom,
! [C: sum_sum_c_c,B2: set_Sum_sum_c_c,A2: set_Sum_sum_c_c] :
( ( ~ ( member_Sum_sum_c_c @ C @ B2 )
=> ( member_Sum_sum_c_c @ C @ A2 ) )
=> ( member_Sum_sum_c_c @ C @ ( sup_su1349021703um_c_c @ A2 @ B2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_28_UnCI) ).
thf(327,axiom,
! [C: produc640052711real_c,B2: set_Pr754230471real_c,A2: set_Pr754230471real_c] :
( ( ~ ( member346808080real_c @ C @ B2 )
=> ( member346808080real_c @ C @ A2 ) )
=> ( member346808080real_c @ C @ ( sup_su588839579real_c @ A2 @ B2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_27_UnCI) ).
thf(331,axiom,
! [X61: hp_a_b_c,X62: hp_a_b_c,Y61: hp_a_b_c,Y62: hp_a_b_c] :
( ( ( choice_a_b_c @ X61 @ X62 )
= ( choice_a_b_c @ Y61 @ Y62 ) )
= ( ( X61 = Y61 )
& ( X62 = Y62 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_23_hp_Oinject_I6_J) ).
thf(346,axiom,
~ ! [Mu: produc190496183real_c] :
( ( member346808080real_c @ ( produc1687028567real_c @ ( produc394644079real_c @ nu_22 @ nu_2 ) @ Mu ) @ ( denota904684656_a_b_c @ j @ b ) )
=> ~ ( denota1997846518gree_c @ ( produc394644079real_c @ mu3 @ mu2 ) @ Mu @ ( sup_su1349021703um_c_c @ ( static_MBV_a_b_c @ b ) @ v ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062_092_060mu_062_H_H_O_A_092_060lbrakk_062_I_I_092_060nu_0622_M_A_092_060nu_0622_H_J_M_A_092_060mu_062_H_H_J_A_092_060in_062_Aprog__sem_AJ_Ab_059_AVagree_A_I_092_060mu_062_M_A_092_060mu_062_H_J_A_092_060mu_062_H_H_A_IMBV_Ab_A_092_060union_062_AV_J_092_060rbrakk_062_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062) ).
thf(347,axiom,
denota1997846518gree_c @ ( produc394644079real_c @ mu3 @ mu2 ) @ mu @ ( sup_su1349021703um_c_c @ ( static_MBV_a_b_c @ b ) @ v ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7_agree) ).
thf(348,axiom,
hpsafe_a_b_c @ a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6_safe_I1_J) ).
thf(349,axiom,
hpsafe_a_b_c @ b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5_safe_I2_J) ).
thf(350,axiom,
member346808080real_c @ ( produc1687028567real_c @ ( produc394644079real_c @ nu_22 @ nu_2 ) @ mu ) @ ( denota904684656_a_b_c @ j @ b ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_prog__sem) ).
thf(351,axiom,
denota1997846518gree_c @ ( produc394644079real_c @ mu3 @ mu2 ) @ mu @ ( sup_su1349021703um_c_c @ ( static_MBV_a_b_c @ ( choice_a_b_c @ a @ b ) ) @ v ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_agree_H) ).
thf(352,axiom,
member346808080real_c @ ( produc1687028567real_c @ ( produc394644079real_c @ nu_22 @ nu_2 ) @ mu ) @ ( denota904684656_a_b_c @ j @ ( choice_a_b_c @ a @ b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_prog__sem_H) ).
thf(353,axiom,
coinci1852866155_a_b_c @ a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_hpsafe__Choice_OIH_I1_J) ).
thf(354,axiom,
coinci1852866155_a_b_c @ b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_hpsafe__Choice_OIH_I2_J) ).
thf(355,conjecture,
? [Mu6: produc190496183real_c] :
( ( member346808080real_c @ ( produc1687028567real_c @ ( produc394644079real_c @ nu_22 @ nu_2 ) @ Mu6 ) @ ( denota904684656_a_b_c @ j @ ( choice_a_b_c @ a @ b ) ) )
& ( denota1997846518gree_c @ ( produc394644079real_c @ mu3 @ mu2 ) @ Mu6 @ ( sup_su1349021703um_c_c @ ( static_MBV_a_b_c @ ( choice_a_b_c @ a @ b ) ) @ v ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(356,negated_conjecture,
( ( ? [Mu6: produc190496183real_c] :
( ( member346808080real_c @ ( produc1687028567real_c @ ( produc394644079real_c @ nu_22 @ nu_2 ) @ Mu6 ) @ ( denota904684656_a_b_c @ j @ ( choice_a_b_c @ a @ b ) ) )
& ( denota1997846518gree_c @ ( produc394644079real_c @ mu3 @ mu2 ) @ Mu6 @ ( sup_su1349021703um_c_c @ ( static_MBV_a_b_c @ ( choice_a_b_c @ a @ b ) ) @ v ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[355]) ).
thf(357,plain,
( ( ? [Mu6: produc190496183real_c] :
( ( member346808080real_c @ ( produc1687028567real_c @ ( produc394644079real_c @ nu_22 @ nu_2 ) @ Mu6 ) @ ( denota904684656_a_b_c @ j @ ( choice_a_b_c @ a @ b ) ) )
& ( denota1997846518gree_c @ ( produc394644079real_c @ mu3 @ mu2 ) @ Mu6 @ ( sup_su1349021703um_c_c @ ( static_MBV_a_b_c @ ( choice_a_b_c @ a @ b ) ) @ v ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[356]) ).
thf(358,plain,
( ( ! [X: finite1398487019real_c,Y: finite1398487019real_c] :
( ( produc704157711real_c @ ( produc394644079real_c @ X @ Y ) )
= ( produc394644079real_c @ Y @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(359,plain,
( ( ! [X: produc190496183real_c,Y: produc190496183real_c] :
( ( produc350724343real_c @ ( produc1687028567real_c @ X @ Y ) )
= ( produc1687028567real_c @ Y @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(360,plain,
( ( ! [A: finite1398487019real_c,P2: produc190496183real_c] :
( ( A
= ( produc2010422875real_c @ P2 ) )
= ( ? [B4: finite1398487019real_c] :
( P2
= ( produc394644079real_c @ A @ B4 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(361,plain,
( ( ! [A: produc190496183real_c,P2: produc640052711real_c] :
( ( A
= ( produc876006723real_c @ P2 ) )
= ( ? [B4: produc190496183real_c] :
( P2
= ( produc1687028567real_c @ A @ B4 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(362,plain,
( ( ! [B: finite1398487019real_c,P2: produc190496183real_c] :
( ( B
= ( produc314122909real_c @ P2 ) )
= ( ? [A4: finite1398487019real_c] :
( P2
= ( produc394644079real_c @ A4 @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(363,plain,
( ( ! [B: produc190496183real_c,P2: produc640052711real_c] :
( ( B
= ( produc415593093real_c @ P2 ) )
= ( ? [A4: produc190496183real_c] :
( P2
= ( produc1687028567real_c @ A4 @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(364,plain,
( ( ! [X: produc190496183real_c,Y: finite1398487019real_c,Z: finite1398487019real_c] :
( ( X
= ( produc394644079real_c @ Y @ Z ) )
=> ( ( produc2010422875real_c @ X )
= Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(365,plain,
( ( ! [X: produc640052711real_c,Y: produc190496183real_c,Z: produc190496183real_c] :
( ( X
= ( produc1687028567real_c @ Y @ Z ) )
=> ( ( produc876006723real_c @ X )
= Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(366,plain,
( ( ! [X: produc190496183real_c,Y: finite1398487019real_c,Z: finite1398487019real_c] :
( ( X
= ( produc394644079real_c @ Y @ Z ) )
=> ( ( produc314122909real_c @ X )
= Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(367,plain,
( ( ! [X: produc640052711real_c,Y: produc190496183real_c,Z: produc190496183real_c] :
( ( X
= ( produc1687028567real_c @ Y @ Z ) )
=> ( ( produc415593093real_c @ X )
= Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(368,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)],[23]) ).
thf(369,plain,
( ( ! [X: produc190496183real_c,Y: produc190496183real_c,A: produc190496183real_c] :
( ( ( produc415593093real_c @ ( produc1687028567real_c @ X @ Y ) )
= A )
=> ( Y = A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(370,plain,
( ( ! [X1: finite1398487019real_c,X22: finite1398487019real_c] :
( ( produc314122909real_c @ ( produc394644079real_c @ X1 @ X22 ) )
= X22 ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(371,plain,
( ( ! [X1: produc190496183real_c,X22: produc190496183real_c] :
( ( produc415593093real_c @ ( produc1687028567real_c @ X1 @ X22 ) )
= X22 ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(372,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)],[27]) ).
thf(373,plain,
( ( ! [X: produc190496183real_c,Y: produc190496183real_c,A: produc190496183real_c] :
( ( ( produc876006723real_c @ ( produc1687028567real_c @ X @ Y ) )
= A )
=> ( X = A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(374,plain,
( ( ! [X1: finite1398487019real_c,X22: finite1398487019real_c] :
( ( produc2010422875real_c @ ( produc394644079real_c @ X1 @ X22 ) )
= X1 ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(375,plain,
( ( ! [X1: produc190496183real_c,X22: produc190496183real_c] :
( ( produc876006723real_c @ ( produc1687028567real_c @ X1 @ X22 ) )
= X1 ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(376,plain,
( ( ! [I3: denota231621370t_unit,Alpha2: hp_a_b_c,Beta: hp_a_b_c] :
( ( denota904684656_a_b_c @ I3 @ ( choice_a_b_c @ Alpha2 @ Beta ) )
= ( sup_su588839579real_c @ ( denota904684656_a_b_c @ I3 @ Alpha2 ) @ ( denota904684656_a_b_c @ I3 @ Beta ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[50]) ).
thf(377,plain,
( ( ! [Nu3: produc190496183real_c,Omega: produc190496183real_c,A2: set_Sum_sum_c_c,B2: set_Sum_sum_c_c] :
( ( denota1997846518gree_c @ Nu3 @ Omega @ A2 )
=> ( ( denota1997846518gree_c @ Nu3 @ Omega @ B2 )
=> ( denota1997846518gree_c @ Nu3 @ Omega @ ( sup_su1349021703um_c_c @ A2 @ B2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[51]) ).
thf(378,plain,
( ( ! [P: produc640052711real_c > $o,X: produc640052711real_c] :
( ! [A7: produc190496183real_c,B7: finite1398487019real_c,C3: finite1398487019real_c] : ( P @ ( produc1687028567real_c @ A7 @ ( produc394644079real_c @ B7 @ C3 ) ) )
=> ( P @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(379,plain,
( ( ! [Y: produc640052711real_c] :
~ ! [A7: produc190496183real_c,B7: finite1398487019real_c,C3: finite1398487019real_c] :
( Y
!= ( produc1687028567real_c @ A7 @ ( produc394644079real_c @ B7 @ C3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[53]) ).
thf(380,plain,
( ( ! [Nu3: produc190496183real_c,A2: set_Sum_sum_c_c] : ( denota1997846518gree_c @ Nu3 @ Nu3 @ A2 ) )
= $true ),
inference(unfold_def,[status(thm)],[54]) ).
thf(381,plain,
( ( ! [A2: produc190496183real_c,B2: produc190496183real_c,V3: set_Sum_sum_c_c] :
( ( denota1997846518gree_c @ A2 @ B2 @ V3 )
=> ( denota1997846518gree_c @ B2 @ A2 @ V3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[55]) ).
thf(382,plain,
( ( ! [P: produc190496183real_c > $o,Prod: produc190496183real_c] :
( ! [A7: finite1398487019real_c,B7: finite1398487019real_c] : ( P @ ( produc394644079real_c @ A7 @ B7 ) )
=> ( P @ Prod ) ) )
= $true ),
inference(unfold_def,[status(thm)],[56]) ).
thf(383,plain,
( ( ! [P: produc640052711real_c > $o,Prod: produc640052711real_c] :
( ! [A7: produc190496183real_c,B7: produc190496183real_c] : ( P @ ( produc1687028567real_c @ A7 @ B7 ) )
=> ( P @ Prod ) ) )
= $true ),
inference(unfold_def,[status(thm)],[57]) ).
thf(384,plain,
( ( ! [Y: produc190496183real_c] :
~ ! [A7: finite1398487019real_c,B7: finite1398487019real_c] :
( Y
!= ( produc394644079real_c @ A7 @ B7 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[58]) ).
thf(385,plain,
( ( ! [Y: produc640052711real_c] :
~ ! [A7: produc190496183real_c,B7: produc190496183real_c] :
( Y
!= ( produc1687028567real_c @ A7 @ B7 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[59]) ).
thf(386,plain,
( ( ! [A: finite1398487019real_c,B: finite1398487019real_c,A6: finite1398487019real_c,B6: finite1398487019real_c] :
( ( ( produc394644079real_c @ A @ B )
= ( produc394644079real_c @ A6 @ B6 ) )
=> ~ ( ( A = A6 )
=> ( B != B6 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[60]) ).
thf(387,plain,
( ( ! [A: produc190496183real_c,B: produc190496183real_c,A6: produc190496183real_c,B6: produc190496183real_c] :
( ( ( produc1687028567real_c @ A @ B )
= ( produc1687028567real_c @ A6 @ B6 ) )
=> ~ ( ( A = A6 )
=> ( B != B6 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[61]) ).
thf(388,plain,
( ( ! [P: produc190496183real_c > $o,P2: produc190496183real_c] :
( ! [A7: finite1398487019real_c,B7: finite1398487019real_c] : ( P @ ( produc394644079real_c @ A7 @ B7 ) )
=> ( P @ P2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[62]) ).
thf(389,plain,
( ( ! [P: produc640052711real_c > $o,P2: produc640052711real_c] :
( ! [A7: produc190496183real_c,B7: produc190496183real_c] : ( P @ ( produc1687028567real_c @ A7 @ B7 ) )
=> ( P @ P2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[63]) ).
thf(390,plain,
( ( ! [P2: produc190496183real_c] :
? [X2: finite1398487019real_c,Y4: finite1398487019real_c] :
( P2
= ( produc394644079real_c @ X2 @ Y4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[64]) ).
thf(391,plain,
( ( ! [P2: produc640052711real_c] :
? [X2: produc190496183real_c,Y4: produc190496183real_c] :
( P2
= ( produc1687028567real_c @ X2 @ Y4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[65]) ).
thf(392,plain,
( ( ! [X1: finite1398487019real_c,X22: finite1398487019real_c,Y1: finite1398487019real_c,Y22: finite1398487019real_c] :
( ( ( produc394644079real_c @ X1 @ X22 )
= ( produc394644079real_c @ Y1 @ Y22 ) )
= ( ( X1 = Y1 )
& ( X22 = Y22 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[121]) ).
thf(393,plain,
( ( ! [X1: produc190496183real_c,X22: produc190496183real_c,Y1: produc190496183real_c,Y22: produc190496183real_c] :
( ( ( produc1687028567real_c @ X1 @ X22 )
= ( produc1687028567real_c @ Y1 @ Y22 ) )
= ( ( X1 = Y1 )
& ( X22 = Y22 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[122]) ).
thf(394,plain,
( ( ! [A: finite1398487019real_c,B: finite1398487019real_c,A6: finite1398487019real_c,B6: finite1398487019real_c] :
( ( ( produc394644079real_c @ A @ B )
= ( produc394644079real_c @ A6 @ B6 ) )
= ( ( A = A6 )
& ( B = B6 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[123]) ).
thf(395,plain,
( ( ! [A: produc190496183real_c,B: produc190496183real_c,A6: produc190496183real_c,B6: produc190496183real_c] :
( ( ( produc1687028567real_c @ A @ B )
= ( produc1687028567real_c @ A6 @ B6 ) )
= ( ( A = A6 )
& ( B = B6 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[124]) ).
thf(396,plain,
( ( ! [A2: set_Sum_sum_c_c,B2: set_Sum_sum_c_c,Nu3: produc190496183real_c,Omega: produc190496183real_c] :
( ( ord_le1772180283um_c_c @ A2 @ B2 )
=> ( ( denota1997846518gree_c @ Nu3 @ Omega @ B2 )
=> ( denota1997846518gree_c @ Nu3 @ Omega @ A2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[125]) ).
thf(397,plain,
( ( ! [B2: set_Sum_sum_c_c,A2: set_Sum_sum_c_c,Nu3: produc190496183real_c,Nu4: produc190496183real_c] :
( ( ord_le1772180283um_c_c @ B2 @ A2 )
=> ( ( denota1997846518gree_c @ Nu3 @ Nu4 @ A2 )
=> ( denota1997846518gree_c @ Nu3 @ Nu4 @ B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[126]) ).
thf(398,plain,
( ( ! [Alpha2: hp_a_b_c,Beta: hp_a_b_c] :
( ( static_FVP_a_b_c @ ( choice_a_b_c @ Alpha2 @ Beta ) )
= ( sup_su1349021703um_c_c @ ( static_FVP_a_b_c @ Alpha2 ) @ ( static_FVP_a_b_c @ Beta ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[127]) ).
thf(399,plain,
( ( ! [C: sum_sum_c_c,A2: set_Sum_sum_c_c,B2: set_Sum_sum_c_c] :
( ( member_Sum_sum_c_c @ C @ ( sup_su1349021703um_c_c @ A2 @ B2 ) )
=> ( ~ ( member_Sum_sum_c_c @ C @ A2 )
=> ( member_Sum_sum_c_c @ C @ B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[132]) ).
thf(400,plain,
( ( ! [C: produc640052711real_c,A2: set_Pr754230471real_c,B2: set_Pr754230471real_c] :
( ( member346808080real_c @ C @ ( sup_su588839579real_c @ A2 @ B2 ) )
=> ( ~ ( member346808080real_c @ C @ A2 )
=> ( member346808080real_c @ C @ B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[133]) ).
thf(401,plain,
( ( ! [C: sum_sum_c_c,A2: set_Sum_sum_c_c,B2: set_Sum_sum_c_c] :
( ( member_Sum_sum_c_c @ C @ A2 )
=> ( member_Sum_sum_c_c @ C @ ( sup_su1349021703um_c_c @ A2 @ B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[134]) ).
thf(402,plain,
( ( ! [C: produc640052711real_c,A2: set_Pr754230471real_c,B2: set_Pr754230471real_c] :
( ( member346808080real_c @ C @ A2 )
=> ( member346808080real_c @ C @ ( sup_su588839579real_c @ A2 @ B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[135]) ).
thf(403,plain,
( ( ! [C: sum_sum_c_c,B2: set_Sum_sum_c_c,A2: set_Sum_sum_c_c] :
( ( member_Sum_sum_c_c @ C @ B2 )
=> ( member_Sum_sum_c_c @ C @ ( sup_su1349021703um_c_c @ A2 @ B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[136]) ).
thf(404,plain,
( ( ! [C: produc640052711real_c,B2: set_Pr754230471real_c,A2: set_Pr754230471real_c] :
( ( member346808080real_c @ C @ B2 )
=> ( member346808080real_c @ C @ ( sup_su588839579real_c @ A2 @ B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[137]) ).
thf(405,plain,
( ( ! [A2: set_Sum_sum_c_c,B2: set_Sum_sum_c_c,P: sum_sum_c_c > $o] :
( ( ? [X3: sum_sum_c_c] :
( ( member_Sum_sum_c_c @ X3 @ ( sup_su1349021703um_c_c @ A2 @ B2 ) )
& ( P @ X3 ) ) )
= ( ? [X3: sum_sum_c_c] :
( ( member_Sum_sum_c_c @ X3 @ A2 )
& ( P @ X3 ) )
| ? [X3: sum_sum_c_c] :
( ( member_Sum_sum_c_c @ X3 @ B2 )
& ( P @ X3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[138]) ).
thf(406,plain,
( ( ! [A2: set_Sum_sum_c_c,B2: set_Sum_sum_c_c,P: sum_sum_c_c > $o] :
( ( ! [X3: sum_sum_c_c] :
( ( member_Sum_sum_c_c @ X3 @ ( sup_su1349021703um_c_c @ A2 @ B2 ) )
=> ( P @ X3 ) ) )
= ( ! [X3: sum_sum_c_c] :
( ( member_Sum_sum_c_c @ X3 @ A2 )
=> ( P @ X3 ) )
& ! [X3: sum_sum_c_c] :
( ( member_Sum_sum_c_c @ X3 @ B2 )
=> ( P @ X3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[139]) ).
thf(407,plain,
( ( ! [A2: set_Sum_sum_c_c,B2: set_Sum_sum_c_c,C2: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ ( sup_su1349021703um_c_c @ A2 @ B2 ) @ C2 )
= ( sup_su1349021703um_c_c @ A2 @ ( sup_su1349021703um_c_c @ B2 @ C2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[140]) ).
thf(408,plain,
( ( ! [A2: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ A2 @ A2 )
= A2 ) )
= $true ),
inference(unfold_def,[status(thm)],[141]) ).
thf(409,plain,
( ( sup_su1349021703um_c_c
= ( ^ [A3: set_Sum_sum_c_c,B3: set_Sum_sum_c_c] : ( sup_su1349021703um_c_c @ B3 @ A3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[142]) ).
thf(410,plain,
( ( ! [A2: set_Sum_sum_c_c,B2: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ A2 @ ( sup_su1349021703um_c_c @ A2 @ B2 ) )
= ( sup_su1349021703um_c_c @ A2 @ B2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[143]) ).
thf(411,plain,
( ( ! [A2: set_Sum_sum_c_c,B2: set_Sum_sum_c_c,C2: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ A2 @ ( sup_su1349021703um_c_c @ B2 @ C2 ) )
= ( sup_su1349021703um_c_c @ B2 @ ( sup_su1349021703um_c_c @ A2 @ C2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[144]) ).
thf(412,plain,
( ( ! [X: set_Sum_sum_c_c,Y: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ X @ ( sup_su1349021703um_c_c @ X @ Y ) )
= ( sup_su1349021703um_c_c @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[145]) ).
thf(413,plain,
( ( ! [X: set_Sum_sum_c_c,Y: set_Sum_sum_c_c,Z: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ X @ ( sup_su1349021703um_c_c @ Y @ Z ) )
= ( sup_su1349021703um_c_c @ Y @ ( sup_su1349021703um_c_c @ X @ Z ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[146]) ).
thf(414,plain,
( ( ! [X: set_Sum_sum_c_c,Y: set_Sum_sum_c_c,Z: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ ( sup_su1349021703um_c_c @ X @ Y ) @ Z )
= ( sup_su1349021703um_c_c @ X @ ( sup_su1349021703um_c_c @ Y @ Z ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[147]) ).
thf(415,plain,
( ( sup_su1349021703um_c_c
= ( ^ [X3: set_Sum_sum_c_c,Y5: set_Sum_sum_c_c] : ( sup_su1349021703um_c_c @ Y5 @ X3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[148]) ).
thf(416,plain,
( ( ! [A2: set_Sum_sum_c_c,K: set_Sum_sum_c_c,A: set_Sum_sum_c_c,B: set_Sum_sum_c_c] :
( ( A2
= ( sup_su1349021703um_c_c @ K @ A ) )
=> ( ( sup_su1349021703um_c_c @ A2 @ B )
= ( sup_su1349021703um_c_c @ K @ ( sup_su1349021703um_c_c @ A @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[149]) ).
thf(417,plain,
( ( ! [B2: set_Sum_sum_c_c,K: set_Sum_sum_c_c,B: set_Sum_sum_c_c,A: set_Sum_sum_c_c] :
( ( B2
= ( sup_su1349021703um_c_c @ K @ B ) )
=> ( ( sup_su1349021703um_c_c @ A @ B2 )
= ( sup_su1349021703um_c_c @ K @ ( sup_su1349021703um_c_c @ A @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[150]) ).
thf(418,plain,
( ( ! [A: set_Sum_sum_c_c,B: set_Sum_sum_c_c,C: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ ( sup_su1349021703um_c_c @ A @ B ) @ C )
= ( sup_su1349021703um_c_c @ A @ ( sup_su1349021703um_c_c @ B @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[151]) ).
thf(419,plain,
( ( ! [X: set_Sum_sum_c_c,Y: set_Sum_sum_c_c,Z: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ ( sup_su1349021703um_c_c @ X @ Y ) @ Z )
= ( sup_su1349021703um_c_c @ X @ ( sup_su1349021703um_c_c @ Y @ Z ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[152]) ).
thf(420,plain,
( ( sup_su1349021703um_c_c
= ( ^ [A4: set_Sum_sum_c_c,B4: set_Sum_sum_c_c] : ( sup_su1349021703um_c_c @ B4 @ A4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[153]) ).
thf(421,plain,
( ( sup_su1349021703um_c_c
= ( ^ [X3: set_Sum_sum_c_c,Y5: set_Sum_sum_c_c] : ( sup_su1349021703um_c_c @ Y5 @ X3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[154]) ).
thf(422,plain,
( ( ! [B: set_Sum_sum_c_c,A: set_Sum_sum_c_c,C: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ B @ ( sup_su1349021703um_c_c @ A @ C ) )
= ( sup_su1349021703um_c_c @ A @ ( sup_su1349021703um_c_c @ B @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[155]) ).
thf(423,plain,
( ( ! [X: set_Sum_sum_c_c,Y: set_Sum_sum_c_c,Z: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ X @ ( sup_su1349021703um_c_c @ Y @ Z ) )
= ( sup_su1349021703um_c_c @ Y @ ( sup_su1349021703um_c_c @ X @ Z ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[156]) ).
thf(424,plain,
( ( ! [A: hp_a_b_c,B: hp_a_b_c] :
( ( hpsafe_a_b_c @ A )
=> ( ( hpsafe_a_b_c @ B )
=> ( hpsafe_a_b_c @ ( choice_a_b_c @ A @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[157]) ).
thf(425,plain,
( ( ! [A2: set_Sum_sum_c_c,C2: set_Sum_sum_c_c,B2: set_Sum_sum_c_c,D2: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ A2 @ C2 )
=> ( ( ord_le1772180283um_c_c @ B2 @ D2 )
=> ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ A2 @ B2 ) @ ( sup_su1349021703um_c_c @ C2 @ D2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[159]) ).
thf(426,plain,
( ( ! [A2: set_Sum_sum_c_c,C2: set_Sum_sum_c_c,B2: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ A2 @ C2 )
=> ( ( ord_le1772180283um_c_c @ B2 @ C2 )
=> ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ A2 @ B2 ) @ C2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[161]) ).
thf(427,plain,
( ( ! [A2: set_Sum_sum_c_c,B2: set_Sum_sum_c_c] : ( ord_le1772180283um_c_c @ A2 @ ( sup_su1349021703um_c_c @ A2 @ B2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[163]) ).
thf(428,plain,
( ( ! [B2: set_Sum_sum_c_c,A2: set_Sum_sum_c_c] : ( ord_le1772180283um_c_c @ B2 @ ( sup_su1349021703um_c_c @ A2 @ B2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[165]) ).
thf(429,plain,
( ( ! [A2: set_Sum_sum_c_c,B2: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ A2 @ B2 )
=> ( ( sup_su1349021703um_c_c @ A2 @ B2 )
= B2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[167]) ).
thf(430,plain,
( ( ! [B2: set_Sum_sum_c_c,A2: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ B2 @ A2 )
=> ( ( sup_su1349021703um_c_c @ A2 @ B2 )
= A2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[169]) ).
thf(431,plain,
( ( ! [C2: set_Sum_sum_c_c,A2: set_Sum_sum_c_c,B2: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ C2 @ ( sup_su1349021703um_c_c @ A2 @ B2 ) )
=> ~ ! [A5: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ A5 @ A2 )
=> ! [B5: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ B5 @ B2 )
=> ( C2
!= ( sup_su1349021703um_c_c @ A5 @ B5 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[171]) ).
thf(432,plain,
( ( ord_le1772180283um_c_c
= ( ^ [A3: set_Sum_sum_c_c,B3: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ A3 @ B3 )
= B3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[173]) ).
thf(433,plain,
( ( ! [Y: set_Sum_sum_c_c,X: set_Sum_sum_c_c] : ( ord_le1772180283um_c_c @ Y @ ( sup_su1349021703um_c_c @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[175]) ).
thf(434,plain,
( ( ! [X: set_Sum_sum_c_c,Y: set_Sum_sum_c_c] : ( ord_le1772180283um_c_c @ X @ ( sup_su1349021703um_c_c @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[177]) ).
thf(435,plain,
( ( ! [A: set_Sum_sum_c_c,B: set_Sum_sum_c_c,X: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ A @ B ) @ X )
=> ~ ( ( ord_le1772180283um_c_c @ A @ X )
=> ~ ( ord_le1772180283um_c_c @ B @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[179]) ).
thf(436,plain,
( ( ! [A: set_Sum_sum_c_c,X: set_Sum_sum_c_c,B: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ A @ X )
=> ( ( ord_le1772180283um_c_c @ B @ X )
=> ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ A @ B ) @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[181]) ).
thf(437,plain,
( ( ! [X: set_Sum_sum_c_c,Y: set_Sum_sum_c_c] : ( ord_le1772180283um_c_c @ X @ ( sup_su1349021703um_c_c @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[183]) ).
thf(438,plain,
( ( ! [Y: set_Sum_sum_c_c,X: set_Sum_sum_c_c] : ( ord_le1772180283um_c_c @ Y @ ( sup_su1349021703um_c_c @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[185]) ).
thf(439,plain,
( ( ! [X: set_Sum_sum_c_c,A: set_Sum_sum_c_c,B: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ X @ A )
=> ( ord_le1772180283um_c_c @ X @ ( sup_su1349021703um_c_c @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[187]) ).
thf(440,plain,
( ( ! [X: set_Sum_sum_c_c,B: set_Sum_sum_c_c,A: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ X @ B )
=> ( ord_le1772180283um_c_c @ X @ ( sup_su1349021703um_c_c @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[189]) ).
thf(441,plain,
( ( ! [C: set_Sum_sum_c_c,A: set_Sum_sum_c_c,D: set_Sum_sum_c_c,B: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ C @ A )
=> ( ( ord_le1772180283um_c_c @ D @ B )
=> ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ C @ D ) @ ( sup_su1349021703um_c_c @ A @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[191]) ).
thf(442,plain,
( ( ! [A: set_Sum_sum_c_c,C: set_Sum_sum_c_c,B: set_Sum_sum_c_c,D: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ A @ C )
=> ( ( ord_le1772180283um_c_c @ B @ D )
=> ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ A @ B ) @ ( sup_su1349021703um_c_c @ C @ D ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[193]) ).
thf(443,plain,
( ( ! [Y: set_Sum_sum_c_c,X: set_Sum_sum_c_c,Z: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ Y @ X )
=> ( ( ord_le1772180283um_c_c @ Z @ X )
=> ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ Y @ Z ) @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[195]) ).
thf(444,plain,
( ( ord_le1772180283um_c_c
= ( ^ [X3: set_Sum_sum_c_c,Y5: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ X3 @ Y5 )
= Y5 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[197]) ).
thf(445,plain,
( ( ! [B: set_Sum_sum_c_c,A: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ B @ A )
=> ( A
= ( sup_su1349021703um_c_c @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[199]) ).
thf(446,plain,
( ( ! [A: set_Sum_sum_c_c,B: set_Sum_sum_c_c] :
( ( A
= ( sup_su1349021703um_c_c @ A @ B ) )
=> ( ord_le1772180283um_c_c @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[201]) ).
thf(447,plain,
( ( ! [F: set_Sum_sum_c_c > set_Sum_sum_c_c > set_Sum_sum_c_c,X: set_Sum_sum_c_c,Y: set_Sum_sum_c_c] :
( ! [X2: set_Sum_sum_c_c,Y4: set_Sum_sum_c_c] : ( ord_le1772180283um_c_c @ X2 @ ( F @ X2 @ Y4 ) )
=> ( ! [X2: set_Sum_sum_c_c,Y4: set_Sum_sum_c_c] : ( ord_le1772180283um_c_c @ Y4 @ ( F @ X2 @ Y4 ) )
=> ( ! [X2: set_Sum_sum_c_c,Y4: set_Sum_sum_c_c,Z3: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ Y4 @ X2 )
=> ( ( ord_le1772180283um_c_c @ Z3 @ X2 )
=> ( ord_le1772180283um_c_c @ ( F @ Y4 @ Z3 ) @ X2 ) ) )
=> ( ( sup_su1349021703um_c_c @ X @ Y )
= ( F @ X @ Y ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[203]) ).
thf(448,plain,
( ( ! [B: set_Sum_sum_c_c,A: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ B @ A )
=> ( ( sup_su1349021703um_c_c @ A @ B )
= A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[205]) ).
thf(449,plain,
( ( ! [A: set_Sum_sum_c_c,B: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ A @ B )
=> ( ( sup_su1349021703um_c_c @ A @ B )
= B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[207]) ).
thf(450,plain,
( ( ! [Y: set_Sum_sum_c_c,X: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ Y @ X )
=> ( ( sup_su1349021703um_c_c @ X @ Y )
= X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[209]) ).
thf(451,plain,
( ( ! [X: set_Sum_sum_c_c,Y: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ X @ Y )
=> ( ( sup_su1349021703um_c_c @ X @ Y )
= Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[211]) ).
thf(452,plain,
( ( ! [B: set_Sum_sum_c_c,C: set_Sum_sum_c_c,A: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ B @ C ) @ A )
=> ~ ( ( ord_le1772180283um_c_c @ B @ A )
=> ~ ( ord_le1772180283um_c_c @ C @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[213]) ).
thf(453,plain,
( ( ! [B: set_Sum_sum_c_c,A: set_Sum_sum_c_c,C: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ B @ A )
=> ( ( ord_le1772180283um_c_c @ C @ A )
=> ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ B @ C ) @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[215]) ).
thf(454,plain,
( ( ord_le1772180283um_c_c
= ( ^ [B4: set_Sum_sum_c_c,A4: set_Sum_sum_c_c] :
( A4
= ( sup_su1349021703um_c_c @ A4 @ B4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[217]) ).
thf(455,plain,
( ( ! [A: set_Sum_sum_c_c,B: set_Sum_sum_c_c] : ( ord_le1772180283um_c_c @ A @ ( sup_su1349021703um_c_c @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[219]) ).
thf(456,plain,
( ( ! [B: set_Sum_sum_c_c,A: set_Sum_sum_c_c] : ( ord_le1772180283um_c_c @ B @ ( sup_su1349021703um_c_c @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[221]) ).
thf(457,plain,
( ( ord_le1772180283um_c_c
= ( ^ [B4: set_Sum_sum_c_c,A4: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ A4 @ B4 )
= A4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[223]) ).
thf(458,plain,
( ( ord_le1772180283um_c_c
= ( ^ [A4: set_Sum_sum_c_c,B4: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ A4 @ B4 )
= B4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[225]) ).
thf(459,plain,
( ( ! [C: set_Sum_sum_c_c,A: set_Sum_sum_c_c,B: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ C @ A )
=> ( ord_le1772180283um_c_c @ C @ ( sup_su1349021703um_c_c @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[227]) ).
thf(460,plain,
( ( ! [C: set_Sum_sum_c_c,B: set_Sum_sum_c_c,A: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ C @ B )
=> ( ord_le1772180283um_c_c @ C @ ( sup_su1349021703um_c_c @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[229]) ).
thf(461,plain,
( ( ! [A2: set_Pr754230471real_c] :
( ( collec1126017874real_c
@ ^ [X3: produc640052711real_c] : ( member346808080real_c @ X3 @ A2 ) )
= A2 ) )
= $true ),
inference(unfold_def,[status(thm)],[238]) ).
thf(462,plain,
( ( ! [A: produc640052711real_c,P: produc640052711real_c > $o] :
( ( member346808080real_c @ A @ ( collec1126017874real_c @ P ) )
= ( P @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[239]) ).
thf(463,plain,
( ( ord_le1988344935real_c
= ( ^ [A3: set_Pr754230471real_c,B3: set_Pr754230471real_c] :
! [T: produc640052711real_c] :
( ( member346808080real_c @ T @ A3 )
=> ( member346808080real_c @ T @ B3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[250]) ).
thf(464,plain,
( ( ord_le1988344935real_c
= ( ^ [A3: set_Pr754230471real_c,B3: set_Pr754230471real_c] :
! [X3: produc640052711real_c] :
( ( member346808080real_c @ X3 @ A3 )
=> ( member346808080real_c @ X3 @ B3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[257]) ).
thf(465,plain,
( ( ! [A2: set_Pr754230471real_c,B2: set_Pr754230471real_c,C: produc640052711real_c] :
( ( ord_le1988344935real_c @ A2 @ B2 )
=> ( ( member346808080real_c @ C @ A2 )
=> ( member346808080real_c @ C @ B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[262]) ).
thf(466,plain,
( ( ! [A2: set_Pr754230471real_c,B2: set_Pr754230471real_c,X: produc640052711real_c] :
( ( ord_le1988344935real_c @ A2 @ B2 )
=> ( ( member346808080real_c @ X @ A2 )
=> ( member346808080real_c @ X @ B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[265]) ).
thf(467,plain,
( ( ! [A: hp_a_b_c,B: hp_a_b_c] :
( ( hpsafe_a_b_c @ ( choice_a_b_c @ A @ B ) )
= ( ( hpsafe_a_b_c @ A )
& ( hpsafe_a_b_c @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[268]) ).
thf(468,plain,
( ( ! [A2: set_Sum_sum_c_c,B2: set_Sum_sum_c_c,C2: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ A2 @ B2 ) @ C2 )
= ( ( ord_le1772180283um_c_c @ A2 @ C2 )
& ( ord_le1772180283um_c_c @ B2 @ C2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[270]) ).
thf(469,plain,
( ( ! [X: set_Sum_sum_c_c,Y: set_Sum_sum_c_c,Z: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ X @ Y ) @ Z )
= ( ( ord_le1772180283um_c_c @ X @ Z )
& ( ord_le1772180283um_c_c @ Y @ Z ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[272]) ).
thf(470,plain,
( ( ! [B: set_Sum_sum_c_c,C: set_Sum_sum_c_c,A: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ B @ C ) @ A )
= ( ( ord_le1772180283um_c_c @ B @ A )
& ( ord_le1772180283um_c_c @ C @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[274]) ).
thf(471,plain,
( ( ! [X: set_Sum_sum_c_c,Y: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ X @ ( sup_su1349021703um_c_c @ X @ Y ) )
= ( sup_su1349021703um_c_c @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[283]) ).
thf(472,plain,
( ( ! [A: set_Sum_sum_c_c,B: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ ( sup_su1349021703um_c_c @ A @ B ) @ B )
= ( sup_su1349021703um_c_c @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[289]) ).
thf(473,plain,
( ( ! [A2: set_Pr754230471real_c,B2: set_Pr754230471real_c] :
( ! [X2: produc640052711real_c] :
( ( member346808080real_c @ X2 @ A2 )
=> ( member346808080real_c @ X2 @ B2 ) )
=> ( ord_le1988344935real_c @ A2 @ B2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[300]) ).
thf(474,plain,
( ( ! [A: set_Sum_sum_c_c,B: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ A @ ( sup_su1349021703um_c_c @ A @ B ) )
= ( sup_su1349021703um_c_c @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[303]) ).
thf(475,plain,
( ( ! [X: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ X @ X )
= X ) )
= $true ),
inference(unfold_def,[status(thm)],[309]) ).
thf(476,plain,
( ( ! [A: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ A @ A )
= A ) )
= $true ),
inference(unfold_def,[status(thm)],[315]) ).
thf(477,plain,
( ( ! [C: sum_sum_c_c,A2: set_Sum_sum_c_c,B2: set_Sum_sum_c_c] :
( ( member_Sum_sum_c_c @ C @ ( sup_su1349021703um_c_c @ A2 @ B2 ) )
= ( ( member_Sum_sum_c_c @ C @ A2 )
| ( member_Sum_sum_c_c @ C @ B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[321]) ).
thf(478,plain,
( ( ! [C: produc640052711real_c,A2: set_Pr754230471real_c,B2: set_Pr754230471real_c] :
( ( member346808080real_c @ C @ ( sup_su588839579real_c @ A2 @ B2 ) )
= ( ( member346808080real_c @ C @ A2 )
| ( member346808080real_c @ C @ B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[322]) ).
thf(479,plain,
( ( ! [C: sum_sum_c_c,B2: set_Sum_sum_c_c,A2: set_Sum_sum_c_c] :
( ( ~ ( member_Sum_sum_c_c @ C @ B2 )
=> ( member_Sum_sum_c_c @ C @ A2 ) )
=> ( member_Sum_sum_c_c @ C @ ( sup_su1349021703um_c_c @ A2 @ B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[326]) ).
thf(480,plain,
( ( ! [C: produc640052711real_c,B2: set_Pr754230471real_c,A2: set_Pr754230471real_c] :
( ( ~ ( member346808080real_c @ C @ B2 )
=> ( member346808080real_c @ C @ A2 ) )
=> ( member346808080real_c @ C @ ( sup_su588839579real_c @ A2 @ B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[327]) ).
thf(481,plain,
( ( ! [X61: hp_a_b_c,X62: hp_a_b_c,Y61: hp_a_b_c,Y62: hp_a_b_c] :
( ( ( choice_a_b_c @ X61 @ X62 )
= ( choice_a_b_c @ Y61 @ Y62 ) )
= ( ( X61 = Y61 )
& ( X62 = Y62 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[331]) ).
thf(482,plain,
( ( ~ ! [Mu: produc190496183real_c] :
( ( member346808080real_c @ ( produc1687028567real_c @ ( produc394644079real_c @ nu_22 @ nu_2 ) @ Mu ) @ ( denota904684656_a_b_c @ j @ b ) )
=> ~ ( denota1997846518gree_c @ ( produc394644079real_c @ mu3 @ mu2 ) @ Mu @ ( sup_su1349021703um_c_c @ ( static_MBV_a_b_c @ b ) @ v ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[346]) ).
thf(483,plain,
( ( denota1997846518gree_c @ ( produc394644079real_c @ mu3 @ mu2 ) @ mu @ ( sup_su1349021703um_c_c @ ( static_MBV_a_b_c @ b ) @ v ) )
= $true ),
inference(unfold_def,[status(thm)],[347]) ).
thf(484,plain,
( ( hpsafe_a_b_c @ a )
= $true ),
inference(unfold_def,[status(thm)],[348]) ).
thf(485,plain,
( ( hpsafe_a_b_c @ b )
= $true ),
inference(unfold_def,[status(thm)],[349]) ).
thf(486,plain,
( ( member346808080real_c @ ( produc1687028567real_c @ ( produc394644079real_c @ nu_22 @ nu_2 ) @ mu ) @ ( denota904684656_a_b_c @ j @ b ) )
= $true ),
inference(unfold_def,[status(thm)],[350]) ).
thf(487,plain,
( ( denota1997846518gree_c @ ( produc394644079real_c @ mu3 @ mu2 ) @ mu @ ( sup_su1349021703um_c_c @ ( static_MBV_a_b_c @ ( choice_a_b_c @ a @ b ) ) @ v ) )
= $true ),
inference(unfold_def,[status(thm)],[351]) ).
thf(488,plain,
( ( member346808080real_c @ ( produc1687028567real_c @ ( produc394644079real_c @ nu_22 @ nu_2 ) @ mu ) @ ( denota904684656_a_b_c @ j @ ( choice_a_b_c @ a @ b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[352]) ).
thf(489,plain,
( ( coinci1852866155_a_b_c @ a )
= $true ),
inference(unfold_def,[status(thm)],[353]) ).
thf(490,plain,
( ( coinci1852866155_a_b_c @ b )
= $true ),
inference(unfold_def,[status(thm)],[354]) ).
thf(491,plain,
( ( ~ ? [Mu6: produc190496183real_c] :
( ( member346808080real_c @ ( produc1687028567real_c @ ( produc394644079real_c @ nu_22 @ nu_2 ) @ Mu6 ) @ ( denota904684656_a_b_c @ j @ ( choice_a_b_c @ a @ b ) ) )
& ( denota1997846518gree_c @ ( produc394644079real_c @ mu3 @ mu2 ) @ Mu6 @ ( sup_su1349021703um_c_c @ ( static_MBV_a_b_c @ ( choice_a_b_c @ a @ b ) ) @ v ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[357]) ).
thf(492,plain,
( ( coinci1852866155_a_b_c @ b )
= $true ),
inference(copy,[status(thm)],[490]) ).
thf(493,plain,
( ( coinci1852866155_a_b_c @ a )
= $true ),
inference(copy,[status(thm)],[489]) ).
thf(494,plain,
( ( member346808080real_c @ ( produc1687028567real_c @ ( produc394644079real_c @ nu_22 @ nu_2 ) @ mu ) @ ( denota904684656_a_b_c @ j @ ( choice_a_b_c @ a @ b ) ) )
= $true ),
inference(copy,[status(thm)],[488]) ).
thf(495,plain,
( ( denota1997846518gree_c @ ( produc394644079real_c @ mu3 @ mu2 ) @ mu @ ( sup_su1349021703um_c_c @ ( static_MBV_a_b_c @ ( choice_a_b_c @ a @ b ) ) @ v ) )
= $true ),
inference(copy,[status(thm)],[487]) ).
thf(496,plain,
( ( member346808080real_c @ ( produc1687028567real_c @ ( produc394644079real_c @ nu_22 @ nu_2 ) @ mu ) @ ( denota904684656_a_b_c @ j @ b ) )
= $true ),
inference(copy,[status(thm)],[486]) ).
thf(497,plain,
( ( hpsafe_a_b_c @ b )
= $true ),
inference(copy,[status(thm)],[485]) ).
thf(498,plain,
( ( hpsafe_a_b_c @ a )
= $true ),
inference(copy,[status(thm)],[484]) ).
thf(499,plain,
( ( denota1997846518gree_c @ ( produc394644079real_c @ mu3 @ mu2 ) @ mu @ ( sup_su1349021703um_c_c @ ( static_MBV_a_b_c @ b ) @ v ) )
= $true ),
inference(copy,[status(thm)],[483]) ).
thf(500,plain,
( ( ~ ! [Mu: produc190496183real_c] :
( ( member346808080real_c @ ( produc1687028567real_c @ ( produc394644079real_c @ nu_22 @ nu_2 ) @ Mu ) @ ( denota904684656_a_b_c @ j @ b ) )
=> ~ ( denota1997846518gree_c @ ( produc394644079real_c @ mu3 @ mu2 ) @ Mu @ ( sup_su1349021703um_c_c @ ( static_MBV_a_b_c @ b ) @ v ) ) ) )
= $true ),
inference(copy,[status(thm)],[482]) ).
thf(501,plain,
( ( ! [X61: hp_a_b_c,X62: hp_a_b_c,Y61: hp_a_b_c,Y62: hp_a_b_c] :
( ( ( choice_a_b_c @ X61 @ X62 )
= ( choice_a_b_c @ Y61 @ Y62 ) )
= ( ( X61 = Y61 )
& ( X62 = Y62 ) ) ) )
= $true ),
inference(copy,[status(thm)],[481]) ).
thf(502,plain,
( ( ! [C: produc640052711real_c,B2: set_Pr754230471real_c,A2: set_Pr754230471real_c] :
( ( ~ ( member346808080real_c @ C @ B2 )
=> ( member346808080real_c @ C @ A2 ) )
=> ( member346808080real_c @ C @ ( sup_su588839579real_c @ A2 @ B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[480]) ).
thf(503,plain,
( ( ! [C: sum_sum_c_c,B2: set_Sum_sum_c_c,A2: set_Sum_sum_c_c] :
( ( ~ ( member_Sum_sum_c_c @ C @ B2 )
=> ( member_Sum_sum_c_c @ C @ A2 ) )
=> ( member_Sum_sum_c_c @ C @ ( sup_su1349021703um_c_c @ A2 @ B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[479]) ).
thf(504,plain,
( ( ! [C: produc640052711real_c,A2: set_Pr754230471real_c,B2: set_Pr754230471real_c] :
( ( member346808080real_c @ C @ ( sup_su588839579real_c @ A2 @ B2 ) )
= ( ( member346808080real_c @ C @ A2 )
| ( member346808080real_c @ C @ B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[478]) ).
thf(505,plain,
( ( ! [C: sum_sum_c_c,A2: set_Sum_sum_c_c,B2: set_Sum_sum_c_c] :
( ( member_Sum_sum_c_c @ C @ ( sup_su1349021703um_c_c @ A2 @ B2 ) )
= ( ( member_Sum_sum_c_c @ C @ A2 )
| ( member_Sum_sum_c_c @ C @ B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[477]) ).
thf(506,plain,
( ( ! [A: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ A @ A )
= A ) )
= $true ),
inference(copy,[status(thm)],[476]) ).
thf(507,plain,
( ( ! [X: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ X @ X )
= X ) )
= $true ),
inference(copy,[status(thm)],[475]) ).
thf(508,plain,
( ( ! [A: set_Sum_sum_c_c,B: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ A @ ( sup_su1349021703um_c_c @ A @ B ) )
= ( sup_su1349021703um_c_c @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[474]) ).
thf(509,plain,
( ( ! [A2: set_Pr754230471real_c,B2: set_Pr754230471real_c] :
( ! [X2: produc640052711real_c] :
( ( member346808080real_c @ X2 @ A2 )
=> ( member346808080real_c @ X2 @ B2 ) )
=> ( ord_le1988344935real_c @ A2 @ B2 ) ) )
= $true ),
inference(copy,[status(thm)],[473]) ).
thf(510,plain,
( ( ! [A: set_Sum_sum_c_c,B: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ ( sup_su1349021703um_c_c @ A @ B ) @ B )
= ( sup_su1349021703um_c_c @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[472]) ).
thf(511,plain,
( ( ! [X: set_Sum_sum_c_c,Y: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ X @ ( sup_su1349021703um_c_c @ X @ Y ) )
= ( sup_su1349021703um_c_c @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[471]) ).
thf(512,plain,
( ( ! [B: set_Sum_sum_c_c,C: set_Sum_sum_c_c,A: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ B @ C ) @ A )
= ( ( ord_le1772180283um_c_c @ B @ A )
& ( ord_le1772180283um_c_c @ C @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[470]) ).
thf(513,plain,
( ( ! [X: set_Sum_sum_c_c,Y: set_Sum_sum_c_c,Z: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ X @ Y ) @ Z )
= ( ( ord_le1772180283um_c_c @ X @ Z )
& ( ord_le1772180283um_c_c @ Y @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[469]) ).
thf(514,plain,
( ( ! [A2: set_Sum_sum_c_c,B2: set_Sum_sum_c_c,C2: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ A2 @ B2 ) @ C2 )
= ( ( ord_le1772180283um_c_c @ A2 @ C2 )
& ( ord_le1772180283um_c_c @ B2 @ C2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[468]) ).
thf(515,plain,
( ( ! [A: hp_a_b_c,B: hp_a_b_c] :
( ( hpsafe_a_b_c @ ( choice_a_b_c @ A @ B ) )
= ( ( hpsafe_a_b_c @ A )
& ( hpsafe_a_b_c @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[467]) ).
thf(516,plain,
( ( ! [A2: set_Pr754230471real_c,B2: set_Pr754230471real_c,X: produc640052711real_c] :
( ( ord_le1988344935real_c @ A2 @ B2 )
=> ( ( member346808080real_c @ X @ A2 )
=> ( member346808080real_c @ X @ B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[466]) ).
thf(517,plain,
( ( ! [A2: set_Pr754230471real_c,B2: set_Pr754230471real_c,C: produc640052711real_c] :
( ( ord_le1988344935real_c @ A2 @ B2 )
=> ( ( member346808080real_c @ C @ A2 )
=> ( member346808080real_c @ C @ B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[465]) ).
thf(518,plain,
( ( ord_le1988344935real_c
= ( ^ [A3: set_Pr754230471real_c,B3: set_Pr754230471real_c] :
! [X3: produc640052711real_c] :
( ( member346808080real_c @ X3 @ A3 )
=> ( member346808080real_c @ X3 @ B3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[464]) ).
thf(519,plain,
( ( ord_le1988344935real_c
= ( ^ [A3: set_Pr754230471real_c,B3: set_Pr754230471real_c] :
! [T: produc640052711real_c] :
( ( member346808080real_c @ T @ A3 )
=> ( member346808080real_c @ T @ B3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[463]) ).
thf(520,plain,
( ( ! [A: produc640052711real_c,P: produc640052711real_c > $o] :
( ( member346808080real_c @ A @ ( collec1126017874real_c @ P ) )
= ( P @ A ) ) )
= $true ),
inference(copy,[status(thm)],[462]) ).
thf(521,plain,
( ( ! [A2: set_Pr754230471real_c] :
( ( collec1126017874real_c
@ ^ [X3: produc640052711real_c] : ( member346808080real_c @ X3 @ A2 ) )
= A2 ) )
= $true ),
inference(copy,[status(thm)],[461]) ).
thf(522,plain,
( ( ! [C: set_Sum_sum_c_c,B: set_Sum_sum_c_c,A: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ C @ B )
=> ( ord_le1772180283um_c_c @ C @ ( sup_su1349021703um_c_c @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[460]) ).
thf(523,plain,
( ( ! [C: set_Sum_sum_c_c,A: set_Sum_sum_c_c,B: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ C @ A )
=> ( ord_le1772180283um_c_c @ C @ ( sup_su1349021703um_c_c @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[459]) ).
thf(524,plain,
( ( ord_le1772180283um_c_c
= ( ^ [A4: set_Sum_sum_c_c,B4: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ A4 @ B4 )
= B4 ) ) )
= $true ),
inference(copy,[status(thm)],[458]) ).
thf(525,plain,
( ( ord_le1772180283um_c_c
= ( ^ [B4: set_Sum_sum_c_c,A4: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ A4 @ B4 )
= A4 ) ) )
= $true ),
inference(copy,[status(thm)],[457]) ).
thf(526,plain,
( ( ! [B: set_Sum_sum_c_c,A: set_Sum_sum_c_c] : ( ord_le1772180283um_c_c @ B @ ( sup_su1349021703um_c_c @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[456]) ).
thf(527,plain,
( ( ! [A: set_Sum_sum_c_c,B: set_Sum_sum_c_c] : ( ord_le1772180283um_c_c @ A @ ( sup_su1349021703um_c_c @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[455]) ).
thf(528,plain,
( ( ord_le1772180283um_c_c
= ( ^ [B4: set_Sum_sum_c_c,A4: set_Sum_sum_c_c] :
( A4
= ( sup_su1349021703um_c_c @ A4 @ B4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[454]) ).
thf(529,plain,
( ( ! [B: set_Sum_sum_c_c,A: set_Sum_sum_c_c,C: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ B @ A )
=> ( ( ord_le1772180283um_c_c @ C @ A )
=> ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ B @ C ) @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[453]) ).
thf(530,plain,
( ( ! [B: set_Sum_sum_c_c,C: set_Sum_sum_c_c,A: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ B @ C ) @ A )
=> ~ ( ( ord_le1772180283um_c_c @ B @ A )
=> ~ ( ord_le1772180283um_c_c @ C @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[452]) ).
thf(531,plain,
( ( ! [X: set_Sum_sum_c_c,Y: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ X @ Y )
=> ( ( sup_su1349021703um_c_c @ X @ Y )
= Y ) ) )
= $true ),
inference(copy,[status(thm)],[451]) ).
thf(532,plain,
( ( ! [Y: set_Sum_sum_c_c,X: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ Y @ X )
=> ( ( sup_su1349021703um_c_c @ X @ Y )
= X ) ) )
= $true ),
inference(copy,[status(thm)],[450]) ).
thf(533,plain,
( ( ! [A: set_Sum_sum_c_c,B: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ A @ B )
=> ( ( sup_su1349021703um_c_c @ A @ B )
= B ) ) )
= $true ),
inference(copy,[status(thm)],[449]) ).
thf(534,plain,
( ( ! [B: set_Sum_sum_c_c,A: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ B @ A )
=> ( ( sup_su1349021703um_c_c @ A @ B )
= A ) ) )
= $true ),
inference(copy,[status(thm)],[448]) ).
thf(535,plain,
( ( ! [F: set_Sum_sum_c_c > set_Sum_sum_c_c > set_Sum_sum_c_c,X: set_Sum_sum_c_c,Y: set_Sum_sum_c_c] :
( ! [X2: set_Sum_sum_c_c,Y4: set_Sum_sum_c_c] : ( ord_le1772180283um_c_c @ X2 @ ( F @ X2 @ Y4 ) )
=> ( ! [X2: set_Sum_sum_c_c,Y4: set_Sum_sum_c_c] : ( ord_le1772180283um_c_c @ Y4 @ ( F @ X2 @ Y4 ) )
=> ( ! [X2: set_Sum_sum_c_c,Y4: set_Sum_sum_c_c,Z3: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ Y4 @ X2 )
=> ( ( ord_le1772180283um_c_c @ Z3 @ X2 )
=> ( ord_le1772180283um_c_c @ ( F @ Y4 @ Z3 ) @ X2 ) ) )
=> ( ( sup_su1349021703um_c_c @ X @ Y )
= ( F @ X @ Y ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[447]) ).
thf(536,plain,
( ( ! [A: set_Sum_sum_c_c,B: set_Sum_sum_c_c] :
( ( A
= ( sup_su1349021703um_c_c @ A @ B ) )
=> ( ord_le1772180283um_c_c @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[446]) ).
thf(537,plain,
( ( ! [B: set_Sum_sum_c_c,A: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ B @ A )
=> ( A
= ( sup_su1349021703um_c_c @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[445]) ).
thf(538,plain,
( ( ord_le1772180283um_c_c
= ( ^ [X3: set_Sum_sum_c_c,Y5: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ X3 @ Y5 )
= Y5 ) ) )
= $true ),
inference(copy,[status(thm)],[444]) ).
thf(539,plain,
( ( ! [Y: set_Sum_sum_c_c,X: set_Sum_sum_c_c,Z: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ Y @ X )
=> ( ( ord_le1772180283um_c_c @ Z @ X )
=> ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ Y @ Z ) @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[443]) ).
thf(540,plain,
( ( ! [A: set_Sum_sum_c_c,C: set_Sum_sum_c_c,B: set_Sum_sum_c_c,D: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ A @ C )
=> ( ( ord_le1772180283um_c_c @ B @ D )
=> ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ A @ B ) @ ( sup_su1349021703um_c_c @ C @ D ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[442]) ).
thf(541,plain,
( ( ! [C: set_Sum_sum_c_c,A: set_Sum_sum_c_c,D: set_Sum_sum_c_c,B: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ C @ A )
=> ( ( ord_le1772180283um_c_c @ D @ B )
=> ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ C @ D ) @ ( sup_su1349021703um_c_c @ A @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[441]) ).
thf(542,plain,
( ( ! [X: set_Sum_sum_c_c,B: set_Sum_sum_c_c,A: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ X @ B )
=> ( ord_le1772180283um_c_c @ X @ ( sup_su1349021703um_c_c @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[440]) ).
thf(543,plain,
( ( ! [X: set_Sum_sum_c_c,A: set_Sum_sum_c_c,B: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ X @ A )
=> ( ord_le1772180283um_c_c @ X @ ( sup_su1349021703um_c_c @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[439]) ).
thf(544,plain,
( ( ! [Y: set_Sum_sum_c_c,X: set_Sum_sum_c_c] : ( ord_le1772180283um_c_c @ Y @ ( sup_su1349021703um_c_c @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[438]) ).
thf(545,plain,
( ( ! [X: set_Sum_sum_c_c,Y: set_Sum_sum_c_c] : ( ord_le1772180283um_c_c @ X @ ( sup_su1349021703um_c_c @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[437]) ).
thf(546,plain,
( ( ! [A: set_Sum_sum_c_c,X: set_Sum_sum_c_c,B: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ A @ X )
=> ( ( ord_le1772180283um_c_c @ B @ X )
=> ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ A @ B ) @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[436]) ).
thf(547,plain,
( ( ! [A: set_Sum_sum_c_c,B: set_Sum_sum_c_c,X: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ A @ B ) @ X )
=> ~ ( ( ord_le1772180283um_c_c @ A @ X )
=> ~ ( ord_le1772180283um_c_c @ B @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[435]) ).
thf(548,plain,
( ( ! [X: set_Sum_sum_c_c,Y: set_Sum_sum_c_c] : ( ord_le1772180283um_c_c @ X @ ( sup_su1349021703um_c_c @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[434]) ).
thf(549,plain,
( ( ! [Y: set_Sum_sum_c_c,X: set_Sum_sum_c_c] : ( ord_le1772180283um_c_c @ Y @ ( sup_su1349021703um_c_c @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[433]) ).
thf(550,plain,
( ( ord_le1772180283um_c_c
= ( ^ [A3: set_Sum_sum_c_c,B3: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ A3 @ B3 )
= B3 ) ) )
= $true ),
inference(copy,[status(thm)],[432]) ).
thf(551,plain,
( ( ! [C2: set_Sum_sum_c_c,A2: set_Sum_sum_c_c,B2: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ C2 @ ( sup_su1349021703um_c_c @ A2 @ B2 ) )
=> ~ ! [A5: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ A5 @ A2 )
=> ! [B5: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ B5 @ B2 )
=> ( C2
!= ( sup_su1349021703um_c_c @ A5 @ B5 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[431]) ).
thf(552,plain,
( ( ! [B2: set_Sum_sum_c_c,A2: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ B2 @ A2 )
=> ( ( sup_su1349021703um_c_c @ A2 @ B2 )
= A2 ) ) )
= $true ),
inference(copy,[status(thm)],[430]) ).
thf(553,plain,
( ( ! [A2: set_Sum_sum_c_c,B2: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ A2 @ B2 )
=> ( ( sup_su1349021703um_c_c @ A2 @ B2 )
= B2 ) ) )
= $true ),
inference(copy,[status(thm)],[429]) ).
thf(554,plain,
( ( ! [B2: set_Sum_sum_c_c,A2: set_Sum_sum_c_c] : ( ord_le1772180283um_c_c @ B2 @ ( sup_su1349021703um_c_c @ A2 @ B2 ) ) )
= $true ),
inference(copy,[status(thm)],[428]) ).
thf(555,plain,
( ( ! [A2: set_Sum_sum_c_c,B2: set_Sum_sum_c_c] : ( ord_le1772180283um_c_c @ A2 @ ( sup_su1349021703um_c_c @ A2 @ B2 ) ) )
= $true ),
inference(copy,[status(thm)],[427]) ).
thf(556,plain,
( ( ! [A2: set_Sum_sum_c_c,C2: set_Sum_sum_c_c,B2: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ A2 @ C2 )
=> ( ( ord_le1772180283um_c_c @ B2 @ C2 )
=> ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ A2 @ B2 ) @ C2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[426]) ).
thf(557,plain,
( ( ! [A2: set_Sum_sum_c_c,C2: set_Sum_sum_c_c,B2: set_Sum_sum_c_c,D2: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ A2 @ C2 )
=> ( ( ord_le1772180283um_c_c @ B2 @ D2 )
=> ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ A2 @ B2 ) @ ( sup_su1349021703um_c_c @ C2 @ D2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[425]) ).
thf(558,plain,
( ( ! [A: hp_a_b_c,B: hp_a_b_c] :
( ( hpsafe_a_b_c @ A )
=> ( ( hpsafe_a_b_c @ B )
=> ( hpsafe_a_b_c @ ( choice_a_b_c @ A @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[424]) ).
thf(559,plain,
( ( ! [X: set_Sum_sum_c_c,Y: set_Sum_sum_c_c,Z: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ X @ ( sup_su1349021703um_c_c @ Y @ Z ) )
= ( sup_su1349021703um_c_c @ Y @ ( sup_su1349021703um_c_c @ X @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[423]) ).
thf(560,plain,
( ( ! [B: set_Sum_sum_c_c,A: set_Sum_sum_c_c,C: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ B @ ( sup_su1349021703um_c_c @ A @ C ) )
= ( sup_su1349021703um_c_c @ A @ ( sup_su1349021703um_c_c @ B @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[422]) ).
thf(561,plain,
( ( sup_su1349021703um_c_c
= ( ^ [X3: set_Sum_sum_c_c,Y5: set_Sum_sum_c_c] : ( sup_su1349021703um_c_c @ Y5 @ X3 ) ) )
= $true ),
inference(copy,[status(thm)],[421]) ).
thf(562,plain,
( ( sup_su1349021703um_c_c
= ( ^ [A4: set_Sum_sum_c_c,B4: set_Sum_sum_c_c] : ( sup_su1349021703um_c_c @ B4 @ A4 ) ) )
= $true ),
inference(copy,[status(thm)],[420]) ).
thf(563,plain,
( ( ! [X: set_Sum_sum_c_c,Y: set_Sum_sum_c_c,Z: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ ( sup_su1349021703um_c_c @ X @ Y ) @ Z )
= ( sup_su1349021703um_c_c @ X @ ( sup_su1349021703um_c_c @ Y @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[419]) ).
thf(564,plain,
( ( ! [A: set_Sum_sum_c_c,B: set_Sum_sum_c_c,C: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ ( sup_su1349021703um_c_c @ A @ B ) @ C )
= ( sup_su1349021703um_c_c @ A @ ( sup_su1349021703um_c_c @ B @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[418]) ).
thf(565,plain,
( ( ! [B2: set_Sum_sum_c_c,K: set_Sum_sum_c_c,B: set_Sum_sum_c_c,A: set_Sum_sum_c_c] :
( ( B2
= ( sup_su1349021703um_c_c @ K @ B ) )
=> ( ( sup_su1349021703um_c_c @ A @ B2 )
= ( sup_su1349021703um_c_c @ K @ ( sup_su1349021703um_c_c @ A @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[417]) ).
thf(566,plain,
( ( ! [A2: set_Sum_sum_c_c,K: set_Sum_sum_c_c,A: set_Sum_sum_c_c,B: set_Sum_sum_c_c] :
( ( A2
= ( sup_su1349021703um_c_c @ K @ A ) )
=> ( ( sup_su1349021703um_c_c @ A2 @ B )
= ( sup_su1349021703um_c_c @ K @ ( sup_su1349021703um_c_c @ A @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[416]) ).
thf(567,plain,
( ( sup_su1349021703um_c_c
= ( ^ [X3: set_Sum_sum_c_c,Y5: set_Sum_sum_c_c] : ( sup_su1349021703um_c_c @ Y5 @ X3 ) ) )
= $true ),
inference(copy,[status(thm)],[415]) ).
thf(568,plain,
( ( ! [X: set_Sum_sum_c_c,Y: set_Sum_sum_c_c,Z: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ ( sup_su1349021703um_c_c @ X @ Y ) @ Z )
= ( sup_su1349021703um_c_c @ X @ ( sup_su1349021703um_c_c @ Y @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[414]) ).
thf(569,plain,
( ( ! [X: set_Sum_sum_c_c,Y: set_Sum_sum_c_c,Z: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ X @ ( sup_su1349021703um_c_c @ Y @ Z ) )
= ( sup_su1349021703um_c_c @ Y @ ( sup_su1349021703um_c_c @ X @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[413]) ).
thf(570,plain,
( ( ! [X: set_Sum_sum_c_c,Y: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ X @ ( sup_su1349021703um_c_c @ X @ Y ) )
= ( sup_su1349021703um_c_c @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[412]) ).
thf(571,plain,
( ( ! [A2: set_Sum_sum_c_c,B2: set_Sum_sum_c_c,C2: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ A2 @ ( sup_su1349021703um_c_c @ B2 @ C2 ) )
= ( sup_su1349021703um_c_c @ B2 @ ( sup_su1349021703um_c_c @ A2 @ C2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[411]) ).
thf(572,plain,
( ( ! [A2: set_Sum_sum_c_c,B2: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ A2 @ ( sup_su1349021703um_c_c @ A2 @ B2 ) )
= ( sup_su1349021703um_c_c @ A2 @ B2 ) ) )
= $true ),
inference(copy,[status(thm)],[410]) ).
thf(573,plain,
( ( sup_su1349021703um_c_c
= ( ^ [A3: set_Sum_sum_c_c,B3: set_Sum_sum_c_c] : ( sup_su1349021703um_c_c @ B3 @ A3 ) ) )
= $true ),
inference(copy,[status(thm)],[409]) ).
thf(574,plain,
( ( ! [A2: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ A2 @ A2 )
= A2 ) )
= $true ),
inference(copy,[status(thm)],[408]) ).
thf(575,plain,
( ( ! [A2: set_Sum_sum_c_c,B2: set_Sum_sum_c_c,C2: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ ( sup_su1349021703um_c_c @ A2 @ B2 ) @ C2 )
= ( sup_su1349021703um_c_c @ A2 @ ( sup_su1349021703um_c_c @ B2 @ C2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[407]) ).
thf(576,plain,
( ( ! [A2: set_Sum_sum_c_c,B2: set_Sum_sum_c_c,P: sum_sum_c_c > $o] :
( ( ! [X3: sum_sum_c_c] :
( ( member_Sum_sum_c_c @ X3 @ ( sup_su1349021703um_c_c @ A2 @ B2 ) )
=> ( P @ X3 ) ) )
= ( ! [X3: sum_sum_c_c] :
( ( member_Sum_sum_c_c @ X3 @ A2 )
=> ( P @ X3 ) )
& ! [X3: sum_sum_c_c] :
( ( member_Sum_sum_c_c @ X3 @ B2 )
=> ( P @ X3 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[406]) ).
thf(577,plain,
( ( ! [A2: set_Sum_sum_c_c,B2: set_Sum_sum_c_c,P: sum_sum_c_c > $o] :
( ( ? [X3: sum_sum_c_c] :
( ( member_Sum_sum_c_c @ X3 @ ( sup_su1349021703um_c_c @ A2 @ B2 ) )
& ( P @ X3 ) ) )
= ( ? [X3: sum_sum_c_c] :
( ( member_Sum_sum_c_c @ X3 @ A2 )
& ( P @ X3 ) )
| ? [X3: sum_sum_c_c] :
( ( member_Sum_sum_c_c @ X3 @ B2 )
& ( P @ X3 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[405]) ).
thf(578,plain,
( ( ! [C: produc640052711real_c,B2: set_Pr754230471real_c,A2: set_Pr754230471real_c] :
( ( member346808080real_c @ C @ B2 )
=> ( member346808080real_c @ C @ ( sup_su588839579real_c @ A2 @ B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[404]) ).
thf(579,plain,
( ( ! [C: sum_sum_c_c,B2: set_Sum_sum_c_c,A2: set_Sum_sum_c_c] :
( ( member_Sum_sum_c_c @ C @ B2 )
=> ( member_Sum_sum_c_c @ C @ ( sup_su1349021703um_c_c @ A2 @ B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[403]) ).
thf(580,plain,
( ( ! [C: produc640052711real_c,A2: set_Pr754230471real_c,B2: set_Pr754230471real_c] :
( ( member346808080real_c @ C @ A2 )
=> ( member346808080real_c @ C @ ( sup_su588839579real_c @ A2 @ B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[402]) ).
thf(581,plain,
( ( ! [C: sum_sum_c_c,A2: set_Sum_sum_c_c,B2: set_Sum_sum_c_c] :
( ( member_Sum_sum_c_c @ C @ A2 )
=> ( member_Sum_sum_c_c @ C @ ( sup_su1349021703um_c_c @ A2 @ B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[401]) ).
thf(582,plain,
( ( ! [C: produc640052711real_c,A2: set_Pr754230471real_c,B2: set_Pr754230471real_c] :
( ( member346808080real_c @ C @ ( sup_su588839579real_c @ A2 @ B2 ) )
=> ( ~ ( member346808080real_c @ C @ A2 )
=> ( member346808080real_c @ C @ B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[400]) ).
thf(583,plain,
( ( ! [C: sum_sum_c_c,A2: set_Sum_sum_c_c,B2: set_Sum_sum_c_c] :
( ( member_Sum_sum_c_c @ C @ ( sup_su1349021703um_c_c @ A2 @ B2 ) )
=> ( ~ ( member_Sum_sum_c_c @ C @ A2 )
=> ( member_Sum_sum_c_c @ C @ B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[399]) ).
thf(584,plain,
( ( ! [Alpha2: hp_a_b_c,Beta: hp_a_b_c] :
( ( static_FVP_a_b_c @ ( choice_a_b_c @ Alpha2 @ Beta ) )
= ( sup_su1349021703um_c_c @ ( static_FVP_a_b_c @ Alpha2 ) @ ( static_FVP_a_b_c @ Beta ) ) ) )
= $true ),
inference(copy,[status(thm)],[398]) ).
thf(585,plain,
( ( ! [B2: set_Sum_sum_c_c,A2: set_Sum_sum_c_c,Nu3: produc190496183real_c,Nu4: produc190496183real_c] :
( ( ord_le1772180283um_c_c @ B2 @ A2 )
=> ( ( denota1997846518gree_c @ Nu3 @ Nu4 @ A2 )
=> ( denota1997846518gree_c @ Nu3 @ Nu4 @ B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[397]) ).
thf(586,plain,
( ( ! [A2: set_Sum_sum_c_c,B2: set_Sum_sum_c_c,Nu3: produc190496183real_c,Omega: produc190496183real_c] :
( ( ord_le1772180283um_c_c @ A2 @ B2 )
=> ( ( denota1997846518gree_c @ Nu3 @ Omega @ B2 )
=> ( denota1997846518gree_c @ Nu3 @ Omega @ A2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[396]) ).
thf(587,plain,
( ( ! [A: produc190496183real_c,B: produc190496183real_c,A6: produc190496183real_c,B6: produc190496183real_c] :
( ( ( produc1687028567real_c @ A @ B )
= ( produc1687028567real_c @ A6 @ B6 ) )
= ( ( A = A6 )
& ( B = B6 ) ) ) )
= $true ),
inference(copy,[status(thm)],[395]) ).
thf(588,plain,
( ( ! [A: finite1398487019real_c,B: finite1398487019real_c,A6: finite1398487019real_c,B6: finite1398487019real_c] :
( ( ( produc394644079real_c @ A @ B )
= ( produc394644079real_c @ A6 @ B6 ) )
= ( ( A = A6 )
& ( B = B6 ) ) ) )
= $true ),
inference(copy,[status(thm)],[394]) ).
thf(589,plain,
( ( ! [X1: produc190496183real_c,X22: produc190496183real_c,Y1: produc190496183real_c,Y22: produc190496183real_c] :
( ( ( produc1687028567real_c @ X1 @ X22 )
= ( produc1687028567real_c @ Y1 @ Y22 ) )
= ( ( X1 = Y1 )
& ( X22 = Y22 ) ) ) )
= $true ),
inference(copy,[status(thm)],[393]) ).
thf(590,plain,
( ( ! [X1: finite1398487019real_c,X22: finite1398487019real_c,Y1: finite1398487019real_c,Y22: finite1398487019real_c] :
( ( ( produc394644079real_c @ X1 @ X22 )
= ( produc394644079real_c @ Y1 @ Y22 ) )
= ( ( X1 = Y1 )
& ( X22 = Y22 ) ) ) )
= $true ),
inference(copy,[status(thm)],[392]) ).
thf(591,plain,
( ( ! [P2: produc640052711real_c] :
? [X2: produc190496183real_c,Y4: produc190496183real_c] :
( P2
= ( produc1687028567real_c @ X2 @ Y4 ) ) )
= $true ),
inference(copy,[status(thm)],[391]) ).
thf(592,plain,
( ( ! [P2: produc190496183real_c] :
? [X2: finite1398487019real_c,Y4: finite1398487019real_c] :
( P2
= ( produc394644079real_c @ X2 @ Y4 ) ) )
= $true ),
inference(copy,[status(thm)],[390]) ).
thf(593,plain,
( ( ! [P: produc640052711real_c > $o,P2: produc640052711real_c] :
( ! [A7: produc190496183real_c,B7: produc190496183real_c] : ( P @ ( produc1687028567real_c @ A7 @ B7 ) )
=> ( P @ P2 ) ) )
= $true ),
inference(copy,[status(thm)],[389]) ).
thf(594,plain,
( ( ! [P: produc190496183real_c > $o,P2: produc190496183real_c] :
( ! [A7: finite1398487019real_c,B7: finite1398487019real_c] : ( P @ ( produc394644079real_c @ A7 @ B7 ) )
=> ( P @ P2 ) ) )
= $true ),
inference(copy,[status(thm)],[388]) ).
thf(595,plain,
( ( ! [A: produc190496183real_c,B: produc190496183real_c,A6: produc190496183real_c,B6: produc190496183real_c] :
( ( ( produc1687028567real_c @ A @ B )
= ( produc1687028567real_c @ A6 @ B6 ) )
=> ~ ( ( A = A6 )
=> ( B != B6 ) ) ) )
= $true ),
inference(copy,[status(thm)],[387]) ).
thf(596,plain,
( ( ! [A: finite1398487019real_c,B: finite1398487019real_c,A6: finite1398487019real_c,B6: finite1398487019real_c] :
( ( ( produc394644079real_c @ A @ B )
= ( produc394644079real_c @ A6 @ B6 ) )
=> ~ ( ( A = A6 )
=> ( B != B6 ) ) ) )
= $true ),
inference(copy,[status(thm)],[386]) ).
thf(597,plain,
( ( ! [Y: produc640052711real_c] :
~ ! [A7: produc190496183real_c,B7: produc190496183real_c] :
( Y
!= ( produc1687028567real_c @ A7 @ B7 ) ) )
= $true ),
inference(copy,[status(thm)],[385]) ).
thf(598,plain,
( ( ! [Y: produc190496183real_c] :
~ ! [A7: finite1398487019real_c,B7: finite1398487019real_c] :
( Y
!= ( produc394644079real_c @ A7 @ B7 ) ) )
= $true ),
inference(copy,[status(thm)],[384]) ).
thf(599,plain,
( ( ! [P: produc640052711real_c > $o,Prod: produc640052711real_c] :
( ! [A7: produc190496183real_c,B7: produc190496183real_c] : ( P @ ( produc1687028567real_c @ A7 @ B7 ) )
=> ( P @ Prod ) ) )
= $true ),
inference(copy,[status(thm)],[383]) ).
thf(600,plain,
( ( ! [P: produc190496183real_c > $o,Prod: produc190496183real_c] :
( ! [A7: finite1398487019real_c,B7: finite1398487019real_c] : ( P @ ( produc394644079real_c @ A7 @ B7 ) )
=> ( P @ Prod ) ) )
= $true ),
inference(copy,[status(thm)],[382]) ).
thf(601,plain,
( ( ! [A2: produc190496183real_c,B2: produc190496183real_c,V3: set_Sum_sum_c_c] :
( ( denota1997846518gree_c @ A2 @ B2 @ V3 )
=> ( denota1997846518gree_c @ B2 @ A2 @ V3 ) ) )
= $true ),
inference(copy,[status(thm)],[381]) ).
thf(602,plain,
( ( ! [Nu3: produc190496183real_c,A2: set_Sum_sum_c_c] : ( denota1997846518gree_c @ Nu3 @ Nu3 @ A2 ) )
= $true ),
inference(copy,[status(thm)],[380]) ).
thf(603,plain,
( ( ! [Y: produc640052711real_c] :
~ ! [A7: produc190496183real_c,B7: finite1398487019real_c,C3: finite1398487019real_c] :
( Y
!= ( produc1687028567real_c @ A7 @ ( produc394644079real_c @ B7 @ C3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[379]) ).
thf(604,plain,
( ( ! [P: produc640052711real_c > $o,X: produc640052711real_c] :
( ! [A7: produc190496183real_c,B7: finite1398487019real_c,C3: finite1398487019real_c] : ( P @ ( produc1687028567real_c @ A7 @ ( produc394644079real_c @ B7 @ C3 ) ) )
=> ( P @ X ) ) )
= $true ),
inference(copy,[status(thm)],[378]) ).
thf(605,plain,
( ( ! [Nu3: produc190496183real_c,Omega: produc190496183real_c,A2: set_Sum_sum_c_c,B2: set_Sum_sum_c_c] :
( ( denota1997846518gree_c @ Nu3 @ Omega @ A2 )
=> ( ( denota1997846518gree_c @ Nu3 @ Omega @ B2 )
=> ( denota1997846518gree_c @ Nu3 @ Omega @ ( sup_su1349021703um_c_c @ A2 @ B2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[377]) ).
thf(606,plain,
( ( ! [I3: denota231621370t_unit,Alpha2: hp_a_b_c,Beta: hp_a_b_c] :
( ( denota904684656_a_b_c @ I3 @ ( choice_a_b_c @ Alpha2 @ Beta ) )
= ( sup_su588839579real_c @ ( denota904684656_a_b_c @ I3 @ Alpha2 ) @ ( denota904684656_a_b_c @ I3 @ Beta ) ) ) )
= $true ),
inference(copy,[status(thm)],[376]) ).
thf(607,plain,
( ( ! [X1: produc190496183real_c,X22: produc190496183real_c] :
( ( produc876006723real_c @ ( produc1687028567real_c @ X1 @ X22 ) )
= X1 ) )
= $true ),
inference(copy,[status(thm)],[375]) ).
thf(608,plain,
( ( ! [X1: finite1398487019real_c,X22: finite1398487019real_c] :
( ( produc2010422875real_c @ ( produc394644079real_c @ X1 @ X22 ) )
= X1 ) )
= $true ),
inference(copy,[status(thm)],[374]) ).
thf(609,plain,
( ( ! [X: produc190496183real_c,Y: produc190496183real_c,A: produc190496183real_c] :
( ( ( produc876006723real_c @ ( produc1687028567real_c @ X @ Y ) )
= A )
=> ( X = A ) ) )
= $true ),
inference(copy,[status(thm)],[373]) ).
thf(610,plain,
( ( ! [X: finite1398487019real_c,Y: finite1398487019real_c,A: finite1398487019real_c] :
( ( ( produc2010422875real_c @ ( produc394644079real_c @ X @ Y ) )
= A )
=> ( X = A ) ) )
= $true ),
inference(copy,[status(thm)],[372]) ).
thf(611,plain,
( ( ! [X1: produc190496183real_c,X22: produc190496183real_c] :
( ( produc415593093real_c @ ( produc1687028567real_c @ X1 @ X22 ) )
= X22 ) )
= $true ),
inference(copy,[status(thm)],[371]) ).
thf(612,plain,
( ( ! [X1: finite1398487019real_c,X22: finite1398487019real_c] :
( ( produc314122909real_c @ ( produc394644079real_c @ X1 @ X22 ) )
= X22 ) )
= $true ),
inference(copy,[status(thm)],[370]) ).
thf(613,plain,
( ( ! [X: produc190496183real_c,Y: produc190496183real_c,A: produc190496183real_c] :
( ( ( produc415593093real_c @ ( produc1687028567real_c @ X @ Y ) )
= A )
=> ( Y = A ) ) )
= $true ),
inference(copy,[status(thm)],[369]) ).
thf(614,plain,
( ( ! [X: finite1398487019real_c,Y: finite1398487019real_c,A: finite1398487019real_c] :
( ( ( produc314122909real_c @ ( produc394644079real_c @ X @ Y ) )
= A )
=> ( Y = A ) ) )
= $true ),
inference(copy,[status(thm)],[368]) ).
thf(615,plain,
( ( ! [X: produc640052711real_c,Y: produc190496183real_c,Z: produc190496183real_c] :
( ( X
= ( produc1687028567real_c @ Y @ Z ) )
=> ( ( produc415593093real_c @ X )
= Z ) ) )
= $true ),
inference(copy,[status(thm)],[367]) ).
thf(616,plain,
( ( ! [X: produc190496183real_c,Y: finite1398487019real_c,Z: finite1398487019real_c] :
( ( X
= ( produc394644079real_c @ Y @ Z ) )
=> ( ( produc314122909real_c @ X )
= Z ) ) )
= $true ),
inference(copy,[status(thm)],[366]) ).
thf(617,plain,
( ( ! [X: produc640052711real_c,Y: produc190496183real_c,Z: produc190496183real_c] :
( ( X
= ( produc1687028567real_c @ Y @ Z ) )
=> ( ( produc876006723real_c @ X )
= Y ) ) )
= $true ),
inference(copy,[status(thm)],[365]) ).
thf(618,plain,
( ( ! [X: produc190496183real_c,Y: finite1398487019real_c,Z: finite1398487019real_c] :
( ( X
= ( produc394644079real_c @ Y @ Z ) )
=> ( ( produc2010422875real_c @ X )
= Y ) ) )
= $true ),
inference(copy,[status(thm)],[364]) ).
thf(619,plain,
( ( ! [B: produc190496183real_c,P2: produc640052711real_c] :
( ( B
= ( produc415593093real_c @ P2 ) )
= ( ? [A4: produc190496183real_c] :
( P2
= ( produc1687028567real_c @ A4 @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[363]) ).
thf(620,plain,
( ( ! [B: finite1398487019real_c,P2: produc190496183real_c] :
( ( B
= ( produc314122909real_c @ P2 ) )
= ( ? [A4: finite1398487019real_c] :
( P2
= ( produc394644079real_c @ A4 @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[362]) ).
thf(621,plain,
( ( ! [A: produc190496183real_c,P2: produc640052711real_c] :
( ( A
= ( produc876006723real_c @ P2 ) )
= ( ? [B4: produc190496183real_c] :
( P2
= ( produc1687028567real_c @ A @ B4 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[361]) ).
thf(622,plain,
( ( ! [A: finite1398487019real_c,P2: produc190496183real_c] :
( ( A
= ( produc2010422875real_c @ P2 ) )
= ( ? [B4: finite1398487019real_c] :
( P2
= ( produc394644079real_c @ A @ B4 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[360]) ).
thf(623,plain,
( ( ! [X: produc190496183real_c,Y: produc190496183real_c] :
( ( produc350724343real_c @ ( produc1687028567real_c @ X @ Y ) )
= ( produc1687028567real_c @ Y @ X ) ) )
= $true ),
inference(copy,[status(thm)],[359]) ).
thf(624,plain,
( ( ! [X: finite1398487019real_c,Y: finite1398487019real_c] :
( ( produc704157711real_c @ ( produc394644079real_c @ X @ Y ) )
= ( produc394644079real_c @ Y @ X ) ) )
= $true ),
inference(copy,[status(thm)],[358]) ).
thf(625,plain,
( ( ~ ? [Mu6: produc190496183real_c] :
( ( member346808080real_c @ ( produc1687028567real_c @ ( produc394644079real_c @ nu_22 @ nu_2 ) @ Mu6 ) @ ( denota904684656_a_b_c @ j @ ( choice_a_b_c @ a @ b ) ) )
& ( denota1997846518gree_c @ ( produc394644079real_c @ mu3 @ mu2 ) @ Mu6 @ ( sup_su1349021703um_c_c @ ( static_MBV_a_b_c @ ( choice_a_b_c @ a @ b ) ) @ v ) ) ) )
= $true ),
inference(copy,[status(thm)],[491]) ).
thf(626,plain,
( ( ! [SX0: finite1398487019real_c,SX1: produc190496183real_c] :
( ( SX0
= ( produc314122909real_c @ SX1 ) )
= ( ~ ! [SX2: finite1398487019real_c] :
( SX1
!= ( produc394644079real_c @ SX2 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[620]) ).
thf(627,plain,
( ( ! [SX0: produc190496183real_c,SX1: produc640052711real_c] :
( ( SX0
= ( produc876006723real_c @ SX1 ) )
= ( ~ ! [SX2: produc190496183real_c] :
( SX1
!= ( produc1687028567real_c @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[621]) ).
thf(628,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)],[594]) ).
thf(629,plain,
( ( ! [SX0: set_Sum_sum_c_c,SX1: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SX0 @ SX1 )
| ( ( sup_su1349021703um_c_c @ SX0 @ SX1 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[531]) ).
thf(630,plain,
( ( ! [SX0: produc190496183real_c,SX1: produc190496183real_c,SX2: produc190496183real_c,SX3: produc190496183real_c] :
( ( ( produc1687028567real_c @ SX0 @ SX1 )
!= ( produc1687028567real_c @ SX2 @ SX3 ) )
| ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[595]) ).
thf(631,plain,
( ( ! [SX0: produc190496183real_c] :
~ ! [SX1: finite1398487019real_c,SX2: finite1398487019real_c] :
( SX0
!= ( produc394644079real_c @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[598]) ).
thf(632,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)],[601]) ).
thf(633,plain,
( ( ! [SX0: produc190496183real_c,SX1: finite1398487019real_c,SX2: finite1398487019real_c] :
( ( SX0
!= ( produc394644079real_c @ SX1 @ SX2 ) )
| ( ( produc2010422875real_c @ SX0 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[618]) ).
thf(634,plain,
( ( ! [SX0: hp_a_b_c,SX1: hp_a_b_c,SX2: hp_a_b_c,SX3: hp_a_b_c] :
( ( ( choice_a_b_c @ SX0 @ SX1 )
= ( choice_a_b_c @ SX2 @ SX3 ) )
= ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[501]) ).
thf(635,plain,
( ( ! [SX0: set_Sum_sum_c_c,SX1: set_Sum_sum_c_c,SX2: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SX0 @ SX1 )
| ~ ( ord_le1772180283um_c_c @ SX2 @ SX1 )
| ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SX0 @ SX2 ) @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[546]) ).
thf(636,plain,
( ( ! [SX0: set_Sum_sum_c_c,SX1: set_Sum_sum_c_c,SX2: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SX0 @ SX1 )
| ( ord_le1772180283um_c_c @ SX0 @ ( sup_su1349021703um_c_c @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[542]) ).
thf(637,plain,
( ( ! [SX0: hp_a_b_c,SX1: hp_a_b_c] :
( ( hpsafe_a_b_c @ ( choice_a_b_c @ SX0 @ SX1 ) )
= ( ~ ( ~ ( hpsafe_a_b_c @ SX0 )
| ~ ( hpsafe_a_b_c @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[515]) ).
thf(638,plain,
( ( ! [SX0: set_Sum_sum_c_c,SX1: set_Sum_sum_c_c,SX2: set_Sum_sum_c_c,SX3: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SX0 @ SX1 )
| ~ ( ord_le1772180283um_c_c @ SX2 @ SX3 )
| ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SX0 @ SX2 ) @ ( sup_su1349021703um_c_c @ SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[541]) ).
thf(639,plain,
( ( ! [SX0: set_Sum_sum_c_c,SX1: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SX0 @ SX1 )
| ( SX1
= ( sup_su1349021703um_c_c @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[537]) ).
thf(640,plain,
( ( ! [SX0: set_Sum_sum_c_c,SX1: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SX0 @ SX1 )
| ( ( sup_su1349021703um_c_c @ SX1 @ SX0 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[532]) ).
thf(641,plain,
( ( ! [SX0: produc190496183real_c,SX1: produc190496183real_c,SX2: produc190496183real_c,SX3: produc190496183real_c] :
( ( ( produc1687028567real_c @ SX0 @ SX1 )
= ( produc1687028567real_c @ SX2 @ SX3 ) )
= ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[589]) ).
thf(642,plain,
( ( ! [SX0: set_Sum_sum_c_c,SX1: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SX0 @ SX1 )
| ( ( sup_su1349021703um_c_c @ SX0 @ SX1 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[533]) ).
thf(643,plain,
( ( ! [SX0: set_Sum_sum_c_c,SX1: set_Sum_sum_c_c,SX2: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SX0 @ SX1 ) @ SX2 )
| ~ ( ~ ( ord_le1772180283um_c_c @ SX0 @ SX2 )
| ~ ( ord_le1772180283um_c_c @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[547]) ).
thf(644,plain,
( ( ! [SX0: set_Sum_sum_c_c,SX1: set_Sum_sum_c_c,SX2: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SX0 @ SX1 ) @ SX2 )
| ~ ( ~ ( ord_le1772180283um_c_c @ SX0 @ SX2 )
| ~ ( ord_le1772180283um_c_c @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[530]) ).
thf(645,plain,
( ( ! [SX0: produc640052711real_c > $o,SX1: produc640052711real_c] :
( ~ ! [SX2: produc190496183real_c,SX3: produc190496183real_c] : ( SX0 @ ( produc1687028567real_c @ SX2 @ SX3 ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[599]) ).
thf(646,plain,
( ( ! [SX0: set_Pr754230471real_c,SX1: set_Pr754230471real_c,SX2: produc640052711real_c] :
( ~ ( ord_le1988344935real_c @ SX0 @ SX1 )
| ~ ( member346808080real_c @ SX2 @ SX0 )
| ( member346808080real_c @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[517]) ).
thf(647,plain,
( ( ord_le1988344935real_c
= ( ^ [SX0: set_Pr754230471real_c,SX1: set_Pr754230471real_c] :
! [SX2: produc640052711real_c] :
( ~ ( member346808080real_c @ SX2 @ SX0 )
| ( member346808080real_c @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[518]) ).
thf(648,plain,
( ( ! [SX0: set_Sum_sum_c_c,SX1: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SX0 @ SX1 )
| ( ( sup_su1349021703um_c_c @ SX1 @ SX0 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[552]) ).
thf(649,plain,
( ( ! [SX0: set_Pr754230471real_c,SX1: set_Pr754230471real_c] :
( ~ ! [SX2: produc640052711real_c] :
( ~ ( member346808080real_c @ SX2 @ SX0 )
| ( member346808080real_c @ SX2 @ SX1 ) )
| ( ord_le1988344935real_c @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[509]) ).
thf(650,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)],[590]) ).
thf(651,plain,
( ( ! [SX0: set_Sum_sum_c_c,SX1: set_Sum_sum_c_c,SX2: sum_sum_c_c > $o] :
( ( ~ ! [SX3: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SX3 @ ( sup_su1349021703um_c_c @ SX0 @ SX1 ) )
| ~ ( SX2 @ SX3 ) ) )
= ( ~ ! [SX3: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SX3 @ SX0 )
| ~ ( SX2 @ SX3 ) )
| ~ ! [SX3: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SX3 @ SX1 )
| ~ ( SX2 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[577]) ).
thf(652,plain,
( ( ! [SX0: sum_sum_c_c,SX1: set_Sum_sum_c_c,SX2: set_Sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SX0 @ ( sup_su1349021703um_c_c @ SX1 @ SX2 ) )
| ~ ~ ( member_Sum_sum_c_c @ SX0 @ SX1 )
| ( member_Sum_sum_c_c @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[583]) ).
thf(653,plain,
( ( ! [SX0: set_Sum_sum_c_c,SX1: set_Sum_sum_c_c,SX2: set_Sum_sum_c_c,SX3: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SX0 @ SX1 )
| ~ ( ord_le1772180283um_c_c @ SX2 @ SX3 )
| ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SX0 @ SX2 ) @ ( sup_su1349021703um_c_c @ SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[540]) ).
thf(654,plain,
( ( ! [SX0: produc640052711real_c > $o,SX1: produc640052711real_c] :
( ~ ! [SX2: produc190496183real_c,SX3: produc190496183real_c] : ( SX0 @ ( produc1687028567real_c @ SX2 @ SX3 ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[593]) ).
thf(655,plain,
( ( ! [SX0: set_Sum_sum_c_c,SX1: set_Sum_sum_c_c,SX2: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SX0 @ SX1 )
| ~ ( ord_le1772180283um_c_c @ SX2 @ SX1 )
| ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SX0 @ SX2 ) @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[539]) ).
thf(656,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)],[600]) ).
thf(657,plain,
( ( ! [SX0: produc190496183real_c,SX1: produc190496183real_c,SX2: produc190496183real_c,SX3: produc190496183real_c] :
( ( ( produc1687028567real_c @ SX0 @ SX1 )
= ( produc1687028567real_c @ SX2 @ SX3 ) )
= ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[587]) ).
thf(658,plain,
( ( ! [SX0: produc640052711real_c,SX1: produc190496183real_c,SX2: produc190496183real_c] :
( ( SX0
!= ( produc1687028567real_c @ SX1 @ SX2 ) )
| ( ( produc415593093real_c @ SX0 )
= SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[615]) ).
thf(659,plain,
( ( ord_le1988344935real_c
= ( ^ [SX0: set_Pr754230471real_c,SX1: set_Pr754230471real_c] :
! [SX2: produc640052711real_c] :
( ~ ( member346808080real_c @ SX2 @ SX0 )
| ( member346808080real_c @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[519]) ).
thf(660,plain,
( ( ! [SX0: sum_sum_c_c,SX1: set_Sum_sum_c_c,SX2: set_Sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SX0 @ SX1 )
| ( member_Sum_sum_c_c @ SX0 @ ( sup_su1349021703um_c_c @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[581]) ).
thf(661,plain,
( ( ! [SX0: sum_sum_c_c,SX1: set_Sum_sum_c_c,SX2: set_Sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SX0 @ SX1 )
| ( member_Sum_sum_c_c @ SX0 @ ( sup_su1349021703um_c_c @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[579]) ).
thf(662,plain,
( ( ! [SX0: produc640052711real_c > $o,SX1: produc640052711real_c] :
( ~ ! [SX2: produc190496183real_c,SX3: finite1398487019real_c,SX4: finite1398487019real_c] : ( SX0 @ ( produc1687028567real_c @ SX2 @ ( produc394644079real_c @ SX3 @ SX4 ) ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[604]) ).
thf(663,plain,
( ( ! [SX0: set_Sum_sum_c_c,SX1: set_Sum_sum_c_c,SX2: set_Sum_sum_c_c,SX3: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SX0 @ SX1 )
| ~ ( ord_le1772180283um_c_c @ SX2 @ SX3 )
| ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SX0 @ SX2 ) @ ( sup_su1349021703um_c_c @ SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[557]) ).
thf(664,plain,
( ( ! [SX0: produc640052711real_c] :
~ ! [SX1: produc190496183real_c,SX2: finite1398487019real_c,SX3: finite1398487019real_c] :
( SX0
!= ( produc1687028567real_c @ SX1 @ ( produc394644079real_c @ SX2 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[603]) ).
thf(665,plain,
( ( ! [SX0: produc640052711real_c] :
~ ! [SX1: produc190496183real_c,SX2: produc190496183real_c] :
( SX0
!= ( produc1687028567real_c @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[597]) ).
thf(666,plain,
( ( ! [SX0: set_Pr754230471real_c,SX1: set_Pr754230471real_c,SX2: produc640052711real_c] :
( ~ ( ord_le1988344935real_c @ SX0 @ SX1 )
| ~ ( member346808080real_c @ SX2 @ SX0 )
| ( member346808080real_c @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[516]) ).
thf(667,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)],[586]) ).
thf(668,plain,
( ( ! [SX0: set_Sum_sum_c_c,SX1: set_Sum_sum_c_c] :
( ( SX0
!= ( sup_su1349021703um_c_c @ SX0 @ SX1 ) )
| ( ord_le1772180283um_c_c @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[536]) ).
thf(669,plain,
( ( ! [SX0: produc190496183real_c,SX1: produc190496183real_c,SX2: produc190496183real_c] :
( ( ( produc876006723real_c @ ( produc1687028567real_c @ SX0 @ SX1 ) )
!= SX2 )
| ( SX0 = SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[609]) ).
thf(670,plain,
( ( ! [SX0: produc640052711real_c,SX1: set_Pr754230471real_c,SX2: set_Pr754230471real_c] :
( ~ ( member346808080real_c @ SX0 @ ( sup_su588839579real_c @ SX1 @ SX2 ) )
| ~ ~ ( member346808080real_c @ SX0 @ SX1 )
| ( member346808080real_c @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[582]) ).
thf(671,plain,
( ( ~ ! [SX0: produc190496183real_c] :
( ~ ( member346808080real_c @ ( produc1687028567real_c @ ( produc394644079real_c @ nu_22 @ nu_2 ) @ SX0 ) @ ( denota904684656_a_b_c @ j @ b ) )
| ~ ( denota1997846518gree_c @ ( produc394644079real_c @ mu3 @ mu2 ) @ SX0 @ ( sup_su1349021703um_c_c @ ( static_MBV_a_b_c @ b ) @ v ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[500]) ).
thf(672,plain,
( ( ! [SX0: set_Sum_sum_c_c,SX1: set_Sum_sum_c_c,SX2: set_Sum_sum_c_c,SX3: set_Sum_sum_c_c] :
( ( SX0
!= ( sup_su1349021703um_c_c @ SX1 @ SX2 ) )
| ( ( sup_su1349021703um_c_c @ SX0 @ SX3 )
= ( sup_su1349021703um_c_c @ SX1 @ ( sup_su1349021703um_c_c @ SX2 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[566]) ).
thf(673,plain,
( ( ! [SX0: produc190496183real_c,SX1: finite1398487019real_c,SX2: finite1398487019real_c] :
( ( SX0
!= ( produc394644079real_c @ SX1 @ SX2 ) )
| ( ( produc314122909real_c @ SX0 )
= SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[616]) ).
thf(674,plain,
( ( ~ ~ ! [SX0: produc190496183real_c] :
~ ~ ( ~ ( member346808080real_c @ ( produc1687028567real_c @ ( produc394644079real_c @ nu_22 @ nu_2 ) @ SX0 ) @ ( denota904684656_a_b_c @ j @ ( choice_a_b_c @ a @ b ) ) )
| ~ ( denota1997846518gree_c @ ( produc394644079real_c @ mu3 @ mu2 ) @ SX0 @ ( sup_su1349021703um_c_c @ ( static_MBV_a_b_c @ ( choice_a_b_c @ a @ b ) ) @ v ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[625]) ).
thf(675,plain,
( ( ! [SX0: set_Sum_sum_c_c,SX1: set_Sum_sum_c_c,SX2: sum_sum_c_c > $o] :
( ( ! [SX3: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SX3 @ ( sup_su1349021703um_c_c @ SX0 @ SX1 ) )
| ( SX2 @ SX3 ) ) )
= ( ~ ( ~ ! [SX3: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SX3 @ SX0 )
| ( SX2 @ SX3 ) )
| ~ ! [SX3: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SX3 @ SX1 )
| ( SX2 @ SX3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[576]) ).
thf(676,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)],[614]) ).
thf(677,plain,
( ( ! [SX0: set_Sum_sum_c_c,SX1: set_Sum_sum_c_c,SX2: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SX0 @ SX1 ) @ SX2 )
= ( ~ ( ~ ( ord_le1772180283um_c_c @ SX0 @ SX2 )
| ~ ( ord_le1772180283um_c_c @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[514]) ).
thf(678,plain,
( ( ! [SX0: sum_sum_c_c,SX1: set_Sum_sum_c_c,SX2: set_Sum_sum_c_c] :
( ~ ( ~ ~ ( member_Sum_sum_c_c @ SX0 @ SX1 )
| ( member_Sum_sum_c_c @ SX0 @ SX2 ) )
| ( member_Sum_sum_c_c @ SX0 @ ( sup_su1349021703um_c_c @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[503]) ).
thf(679,plain,
( ( ! [SX0: set_Sum_sum_c_c,SX1: set_Sum_sum_c_c,SX2: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SX0 @ SX1 ) @ SX2 )
= ( ~ ( ~ ( ord_le1772180283um_c_c @ SX0 @ SX2 )
| ~ ( ord_le1772180283um_c_c @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[513]) ).
thf(680,plain,
( ( ! [SX0: produc190496183real_c,SX1: produc190496183real_c,SX2: produc190496183real_c] :
( ( ( produc415593093real_c @ ( produc1687028567real_c @ SX0 @ SX1 ) )
!= SX2 )
| ( SX1 = SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[613]) ).
thf(681,plain,
( ( ! [SX0: set_Sum_sum_c_c,SX1: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SX0 @ SX1 )
| ( ( sup_su1349021703um_c_c @ SX0 @ SX1 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[553]) ).
thf(682,plain,
( ( ! [SX0: produc640052711real_c,SX1: set_Pr754230471real_c,SX2: set_Pr754230471real_c] :
( ~ ( ~ ~ ( member346808080real_c @ SX0 @ SX1 )
| ( member346808080real_c @ SX0 @ SX2 ) )
| ( member346808080real_c @ SX0 @ ( sup_su588839579real_c @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[502]) ).
thf(683,plain,
( ( ! [SX0: set_Sum_sum_c_c,SX1: set_Sum_sum_c_c,SX2: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SX0 @ SX1 )
| ( ord_le1772180283um_c_c @ SX0 @ ( sup_su1349021703um_c_c @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[523]) ).
thf(684,plain,
( ( ! [SX0: set_Sum_sum_c_c,SX1: set_Sum_sum_c_c,SX2: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SX0 @ SX1 ) @ SX2 )
= ( ~ ( ~ ( ord_le1772180283um_c_c @ SX0 @ SX2 )
| ~ ( ord_le1772180283um_c_c @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[512]) ).
thf(685,plain,
( ( ! [SX0: hp_a_b_c,SX1: hp_a_b_c] :
( ~ ( hpsafe_a_b_c @ SX0 )
| ~ ( hpsafe_a_b_c @ SX1 )
| ( hpsafe_a_b_c @ ( choice_a_b_c @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[558]) ).
thf(686,plain,
( ( ! [SX0: set_Sum_sum_c_c,SX1: set_Sum_sum_c_c,SX2: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SX0 @ SX1 )
| ( ord_le1772180283um_c_c @ SX0 @ ( sup_su1349021703um_c_c @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[522]) ).
thf(687,plain,
( ( ! [SX0: produc190496183real_c] :
~ ! [SX1: finite1398487019real_c] :
~ ~ ! [SX2: finite1398487019real_c] :
( SX0
!= ( produc394644079real_c @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[592]) ).
thf(688,plain,
( ( ! [SX0: set_Sum_sum_c_c > set_Sum_sum_c_c > set_Sum_sum_c_c,SX1: set_Sum_sum_c_c,SX2: set_Sum_sum_c_c] :
( ~ ! [SX3: set_Sum_sum_c_c,SX4: set_Sum_sum_c_c] : ( ord_le1772180283um_c_c @ SX3 @ ( SX0 @ SX3 @ SX4 ) )
| ~ ! [SX3: set_Sum_sum_c_c,SX4: set_Sum_sum_c_c] : ( ord_le1772180283um_c_c @ SX4 @ ( SX0 @ SX3 @ SX4 ) )
| ~ ! [SX3: set_Sum_sum_c_c,SX4: set_Sum_sum_c_c,SX5: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SX4 @ SX3 )
| ~ ( ord_le1772180283um_c_c @ SX5 @ SX3 )
| ( ord_le1772180283um_c_c @ ( SX0 @ SX4 @ SX5 ) @ SX3 ) )
| ( ( sup_su1349021703um_c_c @ SX1 @ SX2 )
= ( SX0 @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[535]) ).
thf(689,plain,
( ( ! [SX0: set_Sum_sum_c_c,SX1: set_Sum_sum_c_c,SX2: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SX0 @ SX1 )
| ~ ( ord_le1772180283um_c_c @ SX2 @ SX1 )
| ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SX0 @ SX2 ) @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[529]) ).
thf(690,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)],[610]) ).
thf(691,plain,
( ( ! [SX0: set_Sum_sum_c_c,SX1: set_Sum_sum_c_c,SX2: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SX0 @ SX1 )
| ( ord_le1772180283um_c_c @ SX0 @ ( sup_su1349021703um_c_c @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[543]) ).
thf(692,plain,
( ( ! [SX0: set_Sum_sum_c_c,SX1: set_Sum_sum_c_c,SX2: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SX0 @ SX1 )
| ~ ( ord_le1772180283um_c_c @ SX2 @ SX1 )
| ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SX0 @ SX2 ) @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[556]) ).
thf(693,plain,
( ( ! [SX0: set_Sum_sum_c_c,SX1: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SX0 @ SX1 )
| ( ( sup_su1349021703um_c_c @ SX1 @ SX0 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[534]) ).
thf(694,plain,
( ( ! [SX0: produc640052711real_c,SX1: set_Pr754230471real_c,SX2: set_Pr754230471real_c] :
( ~ ( member346808080real_c @ SX0 @ SX1 )
| ( member346808080real_c @ SX0 @ ( sup_su588839579real_c @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[578]) ).
thf(695,plain,
( ( ! [SX0: set_Sum_sum_c_c,SX1: set_Sum_sum_c_c,SX2: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SX0 @ ( sup_su1349021703um_c_c @ SX1 @ SX2 ) )
| ~ ! [SX3: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SX3 @ SX1 )
| ! [SX4: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SX4 @ SX2 )
| ( SX0
!= ( sup_su1349021703um_c_c @ SX3 @ SX4 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[551]) ).
thf(696,plain,
( ( ! [SX0: set_Sum_sum_c_c,SX1: set_Sum_sum_c_c,SX2: set_Sum_sum_c_c,SX3: set_Sum_sum_c_c] :
( ( SX0
!= ( sup_su1349021703um_c_c @ SX1 @ SX2 ) )
| ( ( sup_su1349021703um_c_c @ SX3 @ SX0 )
= ( sup_su1349021703um_c_c @ SX1 @ ( sup_su1349021703um_c_c @ SX3 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[565]) ).
thf(697,plain,
( ( ! [SX0: produc640052711real_c] :
~ ! [SX1: produc190496183real_c] :
~ ~ ! [SX2: produc190496183real_c] :
( SX0
!= ( produc1687028567real_c @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[591]) ).
thf(698,plain,
( ( ! [SX0: produc190496183real_c,SX1: produc190496183real_c,SX2: set_Sum_sum_c_c,SX3: set_Sum_sum_c_c] :
( ~ ( denota1997846518gree_c @ SX0 @ SX1 @ SX2 )
| ~ ( denota1997846518gree_c @ SX0 @ SX1 @ SX3 )
| ( denota1997846518gree_c @ SX0 @ SX1 @ ( sup_su1349021703um_c_c @ SX2 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[605]) ).
thf(699,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)],[596]) ).
thf(700,plain,
( ( ! [SX0: produc640052711real_c,SX1: produc190496183real_c,SX2: produc190496183real_c] :
( ( SX0
!= ( produc1687028567real_c @ SX1 @ SX2 ) )
| ( ( produc876006723real_c @ SX0 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[617]) ).
thf(701,plain,
( ( ! [SX0: produc640052711real_c,SX1: set_Pr754230471real_c,SX2: set_Pr754230471real_c] :
( ~ ( member346808080real_c @ SX0 @ SX1 )
| ( member346808080real_c @ SX0 @ ( sup_su588839579real_c @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[580]) ).
thf(702,plain,
( ( ! [SX0: produc190496183real_c,SX1: produc640052711real_c] :
( ( SX0
= ( produc415593093real_c @ SX1 ) )
= ( ~ ! [SX2: produc190496183real_c] :
( SX1
!= ( produc1687028567real_c @ SX2 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[619]) ).
thf(703,plain,
( ( ! [SX0: finite1398487019real_c,SX1: produc190496183real_c] :
( ( SX0
= ( produc2010422875real_c @ SX1 ) )
= ( ~ ! [SX2: finite1398487019real_c] :
( SX1
!= ( produc394644079real_c @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[622]) ).
thf(704,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)],[585]) ).
thf(705,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)],[588]) ).
thf(706,plain,
! [SV1: produc640052711real_c] :
( ( ! [SY363: set_Pr754230471real_c,SY364: set_Pr754230471real_c] :
( ( member346808080real_c @ SV1 @ ( sup_su588839579real_c @ SY363 @ SY364 ) )
= ( ( member346808080real_c @ SV1 @ SY363 )
| ( member346808080real_c @ SV1 @ SY364 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[504]) ).
thf(707,plain,
! [SV2: sum_sum_c_c] :
( ( ! [SY365: set_Sum_sum_c_c,SY366: set_Sum_sum_c_c] :
( ( member_Sum_sum_c_c @ SV2 @ ( sup_su1349021703um_c_c @ SY365 @ SY366 ) )
= ( ( member_Sum_sum_c_c @ SV2 @ SY365 )
| ( member_Sum_sum_c_c @ SV2 @ SY366 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[505]) ).
thf(708,plain,
! [SV3: set_Sum_sum_c_c] :
( ( ( sup_su1349021703um_c_c @ SV3 @ SV3 )
= SV3 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[506]) ).
thf(709,plain,
! [SV4: set_Sum_sum_c_c] :
( ( ( sup_su1349021703um_c_c @ SV4 @ SV4 )
= SV4 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[507]) ).
thf(710,plain,
! [SV5: set_Sum_sum_c_c] :
( ( ! [SY367: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ SV5 @ ( sup_su1349021703um_c_c @ SV5 @ SY367 ) )
= ( sup_su1349021703um_c_c @ SV5 @ SY367 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[508]) ).
thf(711,plain,
! [SV6: set_Sum_sum_c_c] :
( ( ! [SY368: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ ( sup_su1349021703um_c_c @ SV6 @ SY368 ) @ SY368 )
= ( sup_su1349021703um_c_c @ SV6 @ SY368 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[510]) ).
thf(712,plain,
! [SV7: set_Sum_sum_c_c] :
( ( ! [SY369: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ SV7 @ ( sup_su1349021703um_c_c @ SV7 @ SY369 ) )
= ( sup_su1349021703um_c_c @ SV7 @ SY369 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[511]) ).
thf(713,plain,
! [SV8: produc640052711real_c] :
( ( ! [SY370: produc640052711real_c > $o] :
( ( member346808080real_c @ SV8 @ ( collec1126017874real_c @ SY370 ) )
= ( SY370 @ SV8 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[520]) ).
thf(714,plain,
! [SV9: set_Pr754230471real_c] :
( ( ( collec1126017874real_c
@ ^ [SY371: produc640052711real_c] : ( member346808080real_c @ SY371 @ SV9 ) )
= SV9 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[521]) ).
thf(715,plain,
( ( ! [SV10: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ SV10 )
= ( ^ [SY372: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ SV10 @ SY372 )
= SY372 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[524]) ).
thf(716,plain,
( ( ord_le1772180283um_c_c
= ( ^ [A4: set_Sum_sum_c_c,B4: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ A4 @ B4 )
= B4 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[524]) ).
thf(717,plain,
( ( ! [SV11: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ SV11 )
= ( ^ [SY373: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ SY373 @ SV11 )
= SY373 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[525]) ).
thf(718,plain,
( ( ord_le1772180283um_c_c
= ( ^ [B4: set_Sum_sum_c_c,A4: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ A4 @ B4 )
= A4 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[525]) ).
thf(719,plain,
! [SV12: set_Sum_sum_c_c] :
( ( ! [SY374: set_Sum_sum_c_c] : ( ord_le1772180283um_c_c @ SV12 @ ( sup_su1349021703um_c_c @ SY374 @ SV12 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[526]) ).
thf(720,plain,
! [SV13: set_Sum_sum_c_c] :
( ( ! [SY375: set_Sum_sum_c_c] : ( ord_le1772180283um_c_c @ SV13 @ ( sup_su1349021703um_c_c @ SV13 @ SY375 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[527]) ).
thf(721,plain,
( ( ! [SV14: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ SV14 )
= ( ^ [SY376: set_Sum_sum_c_c] :
( SY376
= ( sup_su1349021703um_c_c @ SY376 @ SV14 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[528]) ).
thf(722,plain,
( ( ord_le1772180283um_c_c
= ( ^ [B4: set_Sum_sum_c_c,A4: set_Sum_sum_c_c] :
( A4
= ( sup_su1349021703um_c_c @ A4 @ B4 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[528]) ).
thf(723,plain,
( ( ! [SV15: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ SV15 )
= ( ^ [SY377: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ SV15 @ SY377 )
= SY377 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[538]) ).
thf(724,plain,
( ( ord_le1772180283um_c_c
= ( ^ [X3: set_Sum_sum_c_c,Y5: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ X3 @ Y5 )
= Y5 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[538]) ).
thf(725,plain,
! [SV16: set_Sum_sum_c_c] :
( ( ! [SY378: set_Sum_sum_c_c] : ( ord_le1772180283um_c_c @ SV16 @ ( sup_su1349021703um_c_c @ SY378 @ SV16 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[544]) ).
thf(726,plain,
! [SV17: set_Sum_sum_c_c] :
( ( ! [SY379: set_Sum_sum_c_c] : ( ord_le1772180283um_c_c @ SV17 @ ( sup_su1349021703um_c_c @ SV17 @ SY379 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[545]) ).
thf(727,plain,
! [SV18: set_Sum_sum_c_c] :
( ( ! [SY380: set_Sum_sum_c_c] : ( ord_le1772180283um_c_c @ SV18 @ ( sup_su1349021703um_c_c @ SV18 @ SY380 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[548]) ).
thf(728,plain,
! [SV19: set_Sum_sum_c_c] :
( ( ! [SY381: set_Sum_sum_c_c] : ( ord_le1772180283um_c_c @ SV19 @ ( sup_su1349021703um_c_c @ SY381 @ SV19 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[549]) ).
thf(729,plain,
( ( ! [SV20: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ SV20 )
= ( ^ [SY382: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ SV20 @ SY382 )
= SY382 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[550]) ).
thf(730,plain,
( ( ord_le1772180283um_c_c
= ( ^ [A3: set_Sum_sum_c_c,B3: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ A3 @ B3 )
= B3 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[550]) ).
thf(731,plain,
! [SV21: set_Sum_sum_c_c] :
( ( ! [SY383: set_Sum_sum_c_c] : ( ord_le1772180283um_c_c @ SV21 @ ( sup_su1349021703um_c_c @ SY383 @ SV21 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[554]) ).
thf(732,plain,
! [SV22: set_Sum_sum_c_c] :
( ( ! [SY384: set_Sum_sum_c_c] : ( ord_le1772180283um_c_c @ SV22 @ ( sup_su1349021703um_c_c @ SV22 @ SY384 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[555]) ).
thf(733,plain,
! [SV23: set_Sum_sum_c_c] :
( ( ! [SY385: set_Sum_sum_c_c,SY386: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ SV23 @ ( sup_su1349021703um_c_c @ SY385 @ SY386 ) )
= ( sup_su1349021703um_c_c @ SY385 @ ( sup_su1349021703um_c_c @ SV23 @ SY386 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[559]) ).
thf(734,plain,
! [SV24: set_Sum_sum_c_c] :
( ( ! [SY387: set_Sum_sum_c_c,SY388: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ SV24 @ ( sup_su1349021703um_c_c @ SY387 @ SY388 ) )
= ( sup_su1349021703um_c_c @ SY387 @ ( sup_su1349021703um_c_c @ SV24 @ SY388 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[560]) ).
thf(735,plain,
( ( ! [SV25: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ SV25 )
= ( ^ [SY389: set_Sum_sum_c_c] : ( sup_su1349021703um_c_c @ SY389 @ SV25 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[561]) ).
thf(736,plain,
( ( sup_su1349021703um_c_c
= ( ^ [X3: set_Sum_sum_c_c,Y5: set_Sum_sum_c_c] : ( sup_su1349021703um_c_c @ Y5 @ X3 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[561]) ).
thf(737,plain,
( ( ! [SV26: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ SV26 )
= ( ^ [SY390: set_Sum_sum_c_c] : ( sup_su1349021703um_c_c @ SY390 @ SV26 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[562]) ).
thf(738,plain,
( ( sup_su1349021703um_c_c
= ( ^ [A4: set_Sum_sum_c_c,B4: set_Sum_sum_c_c] : ( sup_su1349021703um_c_c @ B4 @ A4 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[562]) ).
thf(739,plain,
! [SV27: set_Sum_sum_c_c] :
( ( ! [SY391: set_Sum_sum_c_c,SY392: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ ( sup_su1349021703um_c_c @ SV27 @ SY391 ) @ SY392 )
= ( sup_su1349021703um_c_c @ SV27 @ ( sup_su1349021703um_c_c @ SY391 @ SY392 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[563]) ).
thf(740,plain,
! [SV28: set_Sum_sum_c_c] :
( ( ! [SY393: set_Sum_sum_c_c,SY394: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ ( sup_su1349021703um_c_c @ SV28 @ SY393 ) @ SY394 )
= ( sup_su1349021703um_c_c @ SV28 @ ( sup_su1349021703um_c_c @ SY393 @ SY394 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[564]) ).
thf(741,plain,
( ( ! [SV29: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ SV29 )
= ( ^ [SY395: set_Sum_sum_c_c] : ( sup_su1349021703um_c_c @ SY395 @ SV29 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[567]) ).
thf(742,plain,
( ( sup_su1349021703um_c_c
= ( ^ [X3: set_Sum_sum_c_c,Y5: set_Sum_sum_c_c] : ( sup_su1349021703um_c_c @ Y5 @ X3 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[567]) ).
thf(743,plain,
! [SV30: set_Sum_sum_c_c] :
( ( ! [SY396: set_Sum_sum_c_c,SY397: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ ( sup_su1349021703um_c_c @ SV30 @ SY396 ) @ SY397 )
= ( sup_su1349021703um_c_c @ SV30 @ ( sup_su1349021703um_c_c @ SY396 @ SY397 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[568]) ).
thf(744,plain,
! [SV31: set_Sum_sum_c_c] :
( ( ! [SY398: set_Sum_sum_c_c,SY399: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ SV31 @ ( sup_su1349021703um_c_c @ SY398 @ SY399 ) )
= ( sup_su1349021703um_c_c @ SY398 @ ( sup_su1349021703um_c_c @ SV31 @ SY399 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[569]) ).
thf(745,plain,
! [SV32: set_Sum_sum_c_c] :
( ( ! [SY400: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ SV32 @ ( sup_su1349021703um_c_c @ SV32 @ SY400 ) )
= ( sup_su1349021703um_c_c @ SV32 @ SY400 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[570]) ).
thf(746,plain,
! [SV33: set_Sum_sum_c_c] :
( ( ! [SY401: set_Sum_sum_c_c,SY402: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ SV33 @ ( sup_su1349021703um_c_c @ SY401 @ SY402 ) )
= ( sup_su1349021703um_c_c @ SY401 @ ( sup_su1349021703um_c_c @ SV33 @ SY402 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[571]) ).
thf(747,plain,
! [SV34: set_Sum_sum_c_c] :
( ( ! [SY403: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ SV34 @ ( sup_su1349021703um_c_c @ SV34 @ SY403 ) )
= ( sup_su1349021703um_c_c @ SV34 @ SY403 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[572]) ).
thf(748,plain,
( ( ! [SV35: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ SV35 )
= ( ^ [SY404: set_Sum_sum_c_c] : ( sup_su1349021703um_c_c @ SY404 @ SV35 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[573]) ).
thf(749,plain,
( ( sup_su1349021703um_c_c
= ( ^ [A3: set_Sum_sum_c_c,B3: set_Sum_sum_c_c] : ( sup_su1349021703um_c_c @ B3 @ A3 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[573]) ).
thf(750,plain,
! [SV36: set_Sum_sum_c_c] :
( ( ( sup_su1349021703um_c_c @ SV36 @ SV36 )
= SV36 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[574]) ).
thf(751,plain,
! [SV37: set_Sum_sum_c_c] :
( ( ! [SY405: set_Sum_sum_c_c,SY406: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ ( sup_su1349021703um_c_c @ SV37 @ SY405 ) @ SY406 )
= ( sup_su1349021703um_c_c @ SV37 @ ( sup_su1349021703um_c_c @ SY405 @ SY406 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[575]) ).
thf(752,plain,
! [SV38: hp_a_b_c] :
( ( ! [SY407: hp_a_b_c] :
( ( static_FVP_a_b_c @ ( choice_a_b_c @ SV38 @ SY407 ) )
= ( sup_su1349021703um_c_c @ ( static_FVP_a_b_c @ SV38 ) @ ( static_FVP_a_b_c @ SY407 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[584]) ).
thf(753,plain,
! [SV39: produc190496183real_c] :
( ( ! [SY408: set_Sum_sum_c_c] : ( denota1997846518gree_c @ SV39 @ SV39 @ SY408 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[602]) ).
thf(754,plain,
! [SV40: denota231621370t_unit] :
( ( ! [SY409: hp_a_b_c,SY410: hp_a_b_c] :
( ( denota904684656_a_b_c @ SV40 @ ( choice_a_b_c @ SY409 @ SY410 ) )
= ( sup_su588839579real_c @ ( denota904684656_a_b_c @ SV40 @ SY409 ) @ ( denota904684656_a_b_c @ SV40 @ SY410 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[606]) ).
thf(755,plain,
! [SV41: produc190496183real_c] :
( ( ! [SY411: produc190496183real_c] :
( ( produc876006723real_c @ ( produc1687028567real_c @ SV41 @ SY411 ) )
= SV41 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[607]) ).
thf(756,plain,
! [SV42: finite1398487019real_c] :
( ( ! [SY412: finite1398487019real_c] :
( ( produc2010422875real_c @ ( produc394644079real_c @ SV42 @ SY412 ) )
= SV42 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[608]) ).
thf(757,plain,
! [SV43: produc190496183real_c] :
( ( ! [SY413: produc190496183real_c] :
( ( produc415593093real_c @ ( produc1687028567real_c @ SV43 @ SY413 ) )
= SY413 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[611]) ).
thf(758,plain,
! [SV44: finite1398487019real_c] :
( ( ! [SY414: finite1398487019real_c] :
( ( produc314122909real_c @ ( produc394644079real_c @ SV44 @ SY414 ) )
= SY414 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[612]) ).
thf(759,plain,
! [SV45: produc190496183real_c] :
( ( ! [SY415: produc190496183real_c] :
( ( produc350724343real_c @ ( produc1687028567real_c @ SV45 @ SY415 ) )
= ( produc1687028567real_c @ SY415 @ SV45 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[623]) ).
thf(760,plain,
! [SV46: finite1398487019real_c] :
( ( ! [SY416: finite1398487019real_c] :
( ( produc704157711real_c @ ( produc394644079real_c @ SV46 @ SY416 ) )
= ( produc394644079real_c @ SY416 @ SV46 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[624]) ).
thf(761,plain,
! [SV47: finite1398487019real_c] :
( ( ! [SY417: produc190496183real_c] :
( ( SV47
= ( produc314122909real_c @ SY417 ) )
= ( ~ ! [SY418: finite1398487019real_c] :
( SY417
!= ( produc394644079real_c @ SY418 @ SV47 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[626]) ).
thf(762,plain,
! [SV48: produc190496183real_c] :
( ( ! [SY419: produc640052711real_c] :
( ( SV48
= ( produc876006723real_c @ SY419 ) )
= ( ~ ! [SY420: produc190496183real_c] :
( SY419
!= ( produc1687028567real_c @ SV48 @ SY420 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[627]) ).
thf(763,plain,
! [SV49: produc190496183real_c > $o] :
( ( ! [SY421: produc190496183real_c] :
( ~ ! [SY422: finite1398487019real_c,SY423: finite1398487019real_c] : ( SV49 @ ( produc394644079real_c @ SY422 @ SY423 ) )
| ( SV49 @ SY421 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[628]) ).
thf(764,plain,
! [SV50: set_Sum_sum_c_c] :
( ( ! [SY424: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SV50 @ SY424 )
| ( ( sup_su1349021703um_c_c @ SV50 @ SY424 )
= SY424 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[629]) ).
thf(765,plain,
! [SV51: produc190496183real_c] :
( ( ! [SY425: produc190496183real_c,SY426: produc190496183real_c,SY427: produc190496183real_c] :
( ( ( produc1687028567real_c @ SV51 @ SY425 )
!= ( produc1687028567real_c @ SY426 @ SY427 ) )
| ~ ( ( SV51 != SY426 )
| ( SY425 != SY427 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[630]) ).
thf(766,plain,
! [SV52: produc190496183real_c] :
( ( ~ ! [SY428: finite1398487019real_c,SY429: finite1398487019real_c] :
( SV52
!= ( produc394644079real_c @ SY428 @ SY429 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[631]) ).
thf(767,plain,
! [SV53: produc190496183real_c] :
( ( ! [SY430: produc190496183real_c,SY431: set_Sum_sum_c_c] :
( ~ ( denota1997846518gree_c @ SV53 @ SY430 @ SY431 )
| ( denota1997846518gree_c @ SY430 @ SV53 @ SY431 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[632]) ).
thf(768,plain,
! [SV54: produc190496183real_c] :
( ( ! [SY432: finite1398487019real_c,SY433: finite1398487019real_c] :
( ( SV54
!= ( produc394644079real_c @ SY432 @ SY433 ) )
| ( ( produc2010422875real_c @ SV54 )
= SY432 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[633]) ).
thf(769,plain,
! [SV55: hp_a_b_c] :
( ( ! [SY434: hp_a_b_c,SY435: hp_a_b_c,SY436: hp_a_b_c] :
( ( ( choice_a_b_c @ SV55 @ SY434 )
= ( choice_a_b_c @ SY435 @ SY436 ) )
= ( ~ ( ( SV55 != SY435 )
| ( SY434 != SY436 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[634]) ).
thf(770,plain,
! [SV56: set_Sum_sum_c_c] :
( ( ! [SY437: set_Sum_sum_c_c,SY438: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SV56 @ SY437 )
| ~ ( ord_le1772180283um_c_c @ SY438 @ SY437 )
| ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV56 @ SY438 ) @ SY437 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[635]) ).
thf(771,plain,
! [SV57: set_Sum_sum_c_c] :
( ( ! [SY439: set_Sum_sum_c_c,SY440: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SV57 @ SY439 )
| ( ord_le1772180283um_c_c @ SV57 @ ( sup_su1349021703um_c_c @ SY440 @ SY439 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[636]) ).
thf(772,plain,
! [SV58: hp_a_b_c] :
( ( ! [SY441: hp_a_b_c] :
( ( hpsafe_a_b_c @ ( choice_a_b_c @ SV58 @ SY441 ) )
= ( ~ ( ~ ( hpsafe_a_b_c @ SV58 )
| ~ ( hpsafe_a_b_c @ SY441 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[637]) ).
thf(773,plain,
! [SV59: set_Sum_sum_c_c] :
( ( ! [SY442: set_Sum_sum_c_c,SY443: set_Sum_sum_c_c,SY444: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SV59 @ SY442 )
| ~ ( ord_le1772180283um_c_c @ SY443 @ SY444 )
| ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV59 @ SY443 ) @ ( sup_su1349021703um_c_c @ SY442 @ SY444 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[638]) ).
thf(774,plain,
! [SV60: set_Sum_sum_c_c] :
( ( ! [SY445: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SV60 @ SY445 )
| ( SY445
= ( sup_su1349021703um_c_c @ SY445 @ SV60 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[639]) ).
thf(775,plain,
! [SV61: set_Sum_sum_c_c] :
( ( ! [SY446: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SV61 @ SY446 )
| ( ( sup_su1349021703um_c_c @ SY446 @ SV61 )
= SY446 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[640]) ).
thf(776,plain,
! [SV62: produc190496183real_c] :
( ( ! [SY447: produc190496183real_c,SY448: produc190496183real_c,SY449: produc190496183real_c] :
( ( ( produc1687028567real_c @ SV62 @ SY447 )
= ( produc1687028567real_c @ SY448 @ SY449 ) )
= ( ~ ( ( SV62 != SY448 )
| ( SY447 != SY449 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[641]) ).
thf(777,plain,
! [SV63: set_Sum_sum_c_c] :
( ( ! [SY450: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SV63 @ SY450 )
| ( ( sup_su1349021703um_c_c @ SV63 @ SY450 )
= SY450 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[642]) ).
thf(778,plain,
! [SV64: set_Sum_sum_c_c] :
( ( ! [SY451: set_Sum_sum_c_c,SY452: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV64 @ SY451 ) @ SY452 )
| ~ ( ~ ( ord_le1772180283um_c_c @ SV64 @ SY452 )
| ~ ( ord_le1772180283um_c_c @ SY451 @ SY452 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[643]) ).
thf(779,plain,
! [SV65: set_Sum_sum_c_c] :
( ( ! [SY453: set_Sum_sum_c_c,SY454: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV65 @ SY453 ) @ SY454 )
| ~ ( ~ ( ord_le1772180283um_c_c @ SV65 @ SY454 )
| ~ ( ord_le1772180283um_c_c @ SY453 @ SY454 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[644]) ).
thf(780,plain,
! [SV66: produc640052711real_c > $o] :
( ( ! [SY455: produc640052711real_c] :
( ~ ! [SY456: produc190496183real_c,SY457: produc190496183real_c] : ( SV66 @ ( produc1687028567real_c @ SY456 @ SY457 ) )
| ( SV66 @ SY455 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[645]) ).
thf(781,plain,
! [SV67: set_Pr754230471real_c] :
( ( ! [SY458: set_Pr754230471real_c,SY459: produc640052711real_c] :
( ~ ( ord_le1988344935real_c @ SV67 @ SY458 )
| ~ ( member346808080real_c @ SY459 @ SV67 )
| ( member346808080real_c @ SY459 @ SY458 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[646]) ).
thf(782,plain,
( ( ! [SV68: set_Pr754230471real_c] :
( ( ord_le1988344935real_c @ SV68 )
= ( ^ [SY460: set_Pr754230471real_c] :
! [SY461: produc640052711real_c] :
( ~ ( member346808080real_c @ SY461 @ SV68 )
| ( member346808080real_c @ SY461 @ SY460 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[647]) ).
thf(783,plain,
( ( ord_le1988344935real_c
= ( ^ [SX0: set_Pr754230471real_c,SX1: set_Pr754230471real_c] :
! [SX2: produc640052711real_c] :
( ~ ( member346808080real_c @ SX2 @ SX0 )
| ( member346808080real_c @ SX2 @ SX1 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[647]) ).
thf(784,plain,
! [SV69: set_Sum_sum_c_c] :
( ( ! [SY462: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SV69 @ SY462 )
| ( ( sup_su1349021703um_c_c @ SY462 @ SV69 )
= SY462 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[648]) ).
thf(785,plain,
! [SV70: set_Pr754230471real_c] :
( ( ! [SY463: set_Pr754230471real_c] :
( ~ ! [SY464: produc640052711real_c] :
( ~ ( member346808080real_c @ SY464 @ SV70 )
| ( member346808080real_c @ SY464 @ SY463 ) )
| ( ord_le1988344935real_c @ SV70 @ SY463 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[649]) ).
thf(786,plain,
! [SV71: finite1398487019real_c] :
( ( ! [SY465: finite1398487019real_c,SY466: finite1398487019real_c,SY467: finite1398487019real_c] :
( ( ( produc394644079real_c @ SV71 @ SY465 )
= ( produc394644079real_c @ SY466 @ SY467 ) )
= ( ~ ( ( SV71 != SY466 )
| ( SY465 != SY467 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[650]) ).
thf(787,plain,
! [SV72: set_Sum_sum_c_c] :
( ( ! [SY468: set_Sum_sum_c_c,SY469: sum_sum_c_c > $o] :
( ( ~ ! [SY470: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY470 @ ( sup_su1349021703um_c_c @ SV72 @ SY468 ) )
| ~ ( SY469 @ SY470 ) ) )
= ( ~ ! [SY471: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY471 @ SV72 )
| ~ ( SY469 @ SY471 ) )
| ~ ! [SX3: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SX3 @ SY468 )
| ~ ( SY469 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[651]) ).
thf(788,plain,
! [SV73: sum_sum_c_c] :
( ( ! [SY473: set_Sum_sum_c_c,SY474: set_Sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SV73 @ ( sup_su1349021703um_c_c @ SY473 @ SY474 ) )
| ~ ~ ( member_Sum_sum_c_c @ SV73 @ SY473 )
| ( member_Sum_sum_c_c @ SV73 @ SY474 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[652]) ).
thf(789,plain,
! [SV74: set_Sum_sum_c_c] :
( ( ! [SY475: set_Sum_sum_c_c,SY476: set_Sum_sum_c_c,SY477: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SV74 @ SY475 )
| ~ ( ord_le1772180283um_c_c @ SY476 @ SY477 )
| ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV74 @ SY476 ) @ ( sup_su1349021703um_c_c @ SY475 @ SY477 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[653]) ).
thf(790,plain,
! [SV75: produc640052711real_c > $o] :
( ( ! [SY478: produc640052711real_c] :
( ~ ! [SY479: produc190496183real_c,SY480: produc190496183real_c] : ( SV75 @ ( produc1687028567real_c @ SY479 @ SY480 ) )
| ( SV75 @ SY478 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[654]) ).
thf(791,plain,
! [SV76: set_Sum_sum_c_c] :
( ( ! [SY481: set_Sum_sum_c_c,SY482: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SV76 @ SY481 )
| ~ ( ord_le1772180283um_c_c @ SY482 @ SY481 )
| ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV76 @ SY482 ) @ SY481 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[655]) ).
thf(792,plain,
! [SV77: produc190496183real_c > $o] :
( ( ! [SY483: produc190496183real_c] :
( ~ ! [SY484: finite1398487019real_c,SY485: finite1398487019real_c] : ( SV77 @ ( produc394644079real_c @ SY484 @ SY485 ) )
| ( SV77 @ SY483 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[656]) ).
thf(793,plain,
! [SV78: produc190496183real_c] :
( ( ! [SY486: produc190496183real_c,SY487: produc190496183real_c,SY488: produc190496183real_c] :
( ( ( produc1687028567real_c @ SV78 @ SY486 )
= ( produc1687028567real_c @ SY487 @ SY488 ) )
= ( ~ ( ( SV78 != SY487 )
| ( SY486 != SY488 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[657]) ).
thf(794,plain,
! [SV79: produc640052711real_c] :
( ( ! [SY489: produc190496183real_c,SY490: produc190496183real_c] :
( ( SV79
!= ( produc1687028567real_c @ SY489 @ SY490 ) )
| ( ( produc415593093real_c @ SV79 )
= SY490 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[658]) ).
thf(795,plain,
( ( ! [SV80: set_Pr754230471real_c] :
( ( ord_le1988344935real_c @ SV80 )
= ( ^ [SY491: set_Pr754230471real_c] :
! [SY492: produc640052711real_c] :
( ~ ( member346808080real_c @ SY492 @ SV80 )
| ( member346808080real_c @ SY492 @ SY491 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[659]) ).
thf(796,plain,
( ( ord_le1988344935real_c
= ( ^ [SX0: set_Pr754230471real_c,SX1: set_Pr754230471real_c] :
! [SX2: produc640052711real_c] :
( ~ ( member346808080real_c @ SX2 @ SX0 )
| ( member346808080real_c @ SX2 @ SX1 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[659]) ).
thf(797,plain,
! [SV81: sum_sum_c_c] :
( ( ! [SY493: set_Sum_sum_c_c,SY494: set_Sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SV81 @ SY493 )
| ( member_Sum_sum_c_c @ SV81 @ ( sup_su1349021703um_c_c @ SY493 @ SY494 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[660]) ).
thf(798,plain,
! [SV82: sum_sum_c_c] :
( ( ! [SY495: set_Sum_sum_c_c,SY496: set_Sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SV82 @ SY495 )
| ( member_Sum_sum_c_c @ SV82 @ ( sup_su1349021703um_c_c @ SY496 @ SY495 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[661]) ).
thf(799,plain,
! [SV83: produc640052711real_c > $o] :
( ( ! [SY497: produc640052711real_c] :
( ~ ! [SY498: produc190496183real_c,SY499: finite1398487019real_c,SY500: finite1398487019real_c] : ( SV83 @ ( produc1687028567real_c @ SY498 @ ( produc394644079real_c @ SY499 @ SY500 ) ) )
| ( SV83 @ SY497 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[662]) ).
thf(800,plain,
! [SV84: set_Sum_sum_c_c] :
( ( ! [SY501: set_Sum_sum_c_c,SY502: set_Sum_sum_c_c,SY503: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SV84 @ SY501 )
| ~ ( ord_le1772180283um_c_c @ SY502 @ SY503 )
| ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV84 @ SY502 ) @ ( sup_su1349021703um_c_c @ SY501 @ SY503 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[663]) ).
thf(801,plain,
! [SV85: produc640052711real_c] :
( ( ~ ! [SY504: produc190496183real_c,SY505: finite1398487019real_c,SY506: finite1398487019real_c] :
( SV85
!= ( produc1687028567real_c @ SY504 @ ( produc394644079real_c @ SY505 @ SY506 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[664]) ).
thf(802,plain,
! [SV86: produc640052711real_c] :
( ( ~ ! [SY507: produc190496183real_c,SY508: produc190496183real_c] :
( SV86
!= ( produc1687028567real_c @ SY507 @ SY508 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[665]) ).
thf(803,plain,
! [SV87: set_Pr754230471real_c] :
( ( ! [SY509: set_Pr754230471real_c,SY510: produc640052711real_c] :
( ~ ( ord_le1988344935real_c @ SV87 @ SY509 )
| ~ ( member346808080real_c @ SY510 @ SV87 )
| ( member346808080real_c @ SY510 @ SY509 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[666]) ).
thf(804,plain,
! [SV88: set_Sum_sum_c_c] :
( ( ! [SY511: set_Sum_sum_c_c,SY512: produc190496183real_c,SY513: produc190496183real_c] :
( ~ ( ord_le1772180283um_c_c @ SV88 @ SY511 )
| ~ ( denota1997846518gree_c @ SY512 @ SY513 @ SY511 )
| ( denota1997846518gree_c @ SY512 @ SY513 @ SV88 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[667]) ).
thf(805,plain,
! [SV89: set_Sum_sum_c_c] :
( ( ! [SY514: set_Sum_sum_c_c] :
( ( SV89
!= ( sup_su1349021703um_c_c @ SV89 @ SY514 ) )
| ( ord_le1772180283um_c_c @ SY514 @ SV89 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[668]) ).
thf(806,plain,
! [SV90: produc190496183real_c] :
( ( ! [SY515: produc190496183real_c,SY516: produc190496183real_c] :
( ( ( produc876006723real_c @ ( produc1687028567real_c @ SV90 @ SY515 ) )
!= SY516 )
| ( SV90 = SY516 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[669]) ).
thf(807,plain,
! [SV91: produc640052711real_c] :
( ( ! [SY517: set_Pr754230471real_c,SY518: set_Pr754230471real_c] :
( ~ ( member346808080real_c @ SV91 @ ( sup_su588839579real_c @ SY517 @ SY518 ) )
| ~ ~ ( member346808080real_c @ SV91 @ SY517 )
| ( member346808080real_c @ SV91 @ SY518 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[670]) ).
thf(808,plain,
( ( ! [SX0: produc190496183real_c] :
( ~ ( member346808080real_c @ ( produc1687028567real_c @ ( produc394644079real_c @ nu_22 @ nu_2 ) @ SX0 ) @ ( denota904684656_a_b_c @ j @ b ) )
| ~ ( denota1997846518gree_c @ ( produc394644079real_c @ mu3 @ mu2 ) @ SX0 @ ( sup_su1349021703um_c_c @ ( static_MBV_a_b_c @ b ) @ v ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[671]) ).
thf(809,plain,
! [SV92: set_Sum_sum_c_c] :
( ( ! [SY519: set_Sum_sum_c_c,SY520: set_Sum_sum_c_c,SY521: set_Sum_sum_c_c] :
( ( SV92
!= ( sup_su1349021703um_c_c @ SY519 @ SY520 ) )
| ( ( sup_su1349021703um_c_c @ SV92 @ SY521 )
= ( sup_su1349021703um_c_c @ SY519 @ ( sup_su1349021703um_c_c @ SY520 @ SY521 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[672]) ).
thf(810,plain,
! [SV93: produc190496183real_c] :
( ( ! [SY522: finite1398487019real_c,SY523: finite1398487019real_c] :
( ( SV93
!= ( produc394644079real_c @ SY522 @ SY523 ) )
| ( ( produc314122909real_c @ SV93 )
= SY523 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[673]) ).
thf(811,plain,
( ( ~ ! [SX0: produc190496183real_c] :
~ ~ ( ~ ( member346808080real_c @ ( produc1687028567real_c @ ( produc394644079real_c @ nu_22 @ nu_2 ) @ SX0 ) @ ( denota904684656_a_b_c @ j @ ( choice_a_b_c @ a @ b ) ) )
| ~ ( denota1997846518gree_c @ ( produc394644079real_c @ mu3 @ mu2 ) @ SX0 @ ( sup_su1349021703um_c_c @ ( static_MBV_a_b_c @ ( choice_a_b_c @ a @ b ) ) @ v ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[674]) ).
thf(812,plain,
! [SV94: set_Sum_sum_c_c] :
( ( ! [SY524: set_Sum_sum_c_c,SY525: sum_sum_c_c > $o] :
( ( ! [SY526: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY526 @ ( sup_su1349021703um_c_c @ SV94 @ SY524 ) )
| ( SY525 @ SY526 ) ) )
= ( ~ ( ~ ! [SY527: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY527 @ SV94 )
| ( SY525 @ SY527 ) )
| ~ ! [SX3: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SX3 @ SY524 )
| ( SY525 @ SX3 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[675]) ).
thf(813,plain,
! [SV95: finite1398487019real_c] :
( ( ! [SY529: finite1398487019real_c,SY530: finite1398487019real_c] :
( ( ( produc314122909real_c @ ( produc394644079real_c @ SV95 @ SY529 ) )
!= SY530 )
| ( SY529 = SY530 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[676]) ).
thf(814,plain,
! [SV96: set_Sum_sum_c_c] :
( ( ! [SY531: set_Sum_sum_c_c,SY532: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV96 @ SY531 ) @ SY532 )
= ( ~ ( ~ ( ord_le1772180283um_c_c @ SV96 @ SY532 )
| ~ ( ord_le1772180283um_c_c @ SY531 @ SY532 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[677]) ).
thf(815,plain,
! [SV97: sum_sum_c_c] :
( ( ! [SY533: set_Sum_sum_c_c,SY534: set_Sum_sum_c_c] :
( ~ ( ~ ~ ( member_Sum_sum_c_c @ SV97 @ SY533 )
| ( member_Sum_sum_c_c @ SV97 @ SY534 ) )
| ( member_Sum_sum_c_c @ SV97 @ ( sup_su1349021703um_c_c @ SY534 @ SY533 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[678]) ).
thf(816,plain,
! [SV98: set_Sum_sum_c_c] :
( ( ! [SY535: set_Sum_sum_c_c,SY536: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV98 @ SY535 ) @ SY536 )
= ( ~ ( ~ ( ord_le1772180283um_c_c @ SV98 @ SY536 )
| ~ ( ord_le1772180283um_c_c @ SY535 @ SY536 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[679]) ).
thf(817,plain,
! [SV99: produc190496183real_c] :
( ( ! [SY537: produc190496183real_c,SY538: produc190496183real_c] :
( ( ( produc415593093real_c @ ( produc1687028567real_c @ SV99 @ SY537 ) )
!= SY538 )
| ( SY537 = SY538 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[680]) ).
thf(818,plain,
! [SV100: set_Sum_sum_c_c] :
( ( ! [SY539: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SV100 @ SY539 )
| ( ( sup_su1349021703um_c_c @ SV100 @ SY539 )
= SY539 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[681]) ).
thf(819,plain,
! [SV101: produc640052711real_c] :
( ( ! [SY540: set_Pr754230471real_c,SY541: set_Pr754230471real_c] :
( ~ ( ~ ~ ( member346808080real_c @ SV101 @ SY540 )
| ( member346808080real_c @ SV101 @ SY541 ) )
| ( member346808080real_c @ SV101 @ ( sup_su588839579real_c @ SY541 @ SY540 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[682]) ).
thf(820,plain,
! [SV102: set_Sum_sum_c_c] :
( ( ! [SY542: set_Sum_sum_c_c,SY543: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SV102 @ SY542 )
| ( ord_le1772180283um_c_c @ SV102 @ ( sup_su1349021703um_c_c @ SY542 @ SY543 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[683]) ).
thf(821,plain,
! [SV103: set_Sum_sum_c_c] :
( ( ! [SY544: set_Sum_sum_c_c,SY545: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV103 @ SY544 ) @ SY545 )
= ( ~ ( ~ ( ord_le1772180283um_c_c @ SV103 @ SY545 )
| ~ ( ord_le1772180283um_c_c @ SY544 @ SY545 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[684]) ).
thf(822,plain,
! [SV104: hp_a_b_c] :
( ( ! [SY546: hp_a_b_c] :
( ~ ( hpsafe_a_b_c @ SV104 )
| ~ ( hpsafe_a_b_c @ SY546 )
| ( hpsafe_a_b_c @ ( choice_a_b_c @ SV104 @ SY546 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[685]) ).
thf(823,plain,
! [SV105: set_Sum_sum_c_c] :
( ( ! [SY547: set_Sum_sum_c_c,SY548: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SV105 @ SY547 )
| ( ord_le1772180283um_c_c @ SV105 @ ( sup_su1349021703um_c_c @ SY548 @ SY547 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[686]) ).
thf(824,plain,
! [SV106: produc190496183real_c] :
( ( ~ ! [SY549: finite1398487019real_c] :
~ ~ ! [SY550: finite1398487019real_c] :
( SV106
!= ( produc394644079real_c @ SY549 @ SY550 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[687]) ).
thf(825,plain,
! [SV107: set_Sum_sum_c_c > set_Sum_sum_c_c > set_Sum_sum_c_c] :
( ( ! [SY551: set_Sum_sum_c_c,SY552: set_Sum_sum_c_c] :
( ~ ! [SY553: set_Sum_sum_c_c,SY554: set_Sum_sum_c_c] : ( ord_le1772180283um_c_c @ SY553 @ ( SV107 @ SY553 @ SY554 ) )
| ~ ! [SY555: set_Sum_sum_c_c,SY556: set_Sum_sum_c_c] : ( ord_le1772180283um_c_c @ SY556 @ ( SV107 @ SY555 @ SY556 ) )
| ~ ! [SY557: set_Sum_sum_c_c,SY558: set_Sum_sum_c_c,SY559: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SY558 @ SY557 )
| ~ ( ord_le1772180283um_c_c @ SY559 @ SY557 )
| ( ord_le1772180283um_c_c @ ( SV107 @ SY558 @ SY559 ) @ SY557 ) )
| ( ( sup_su1349021703um_c_c @ SY551 @ SY552 )
= ( SV107 @ SY551 @ SY552 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[688]) ).
thf(826,plain,
! [SV108: set_Sum_sum_c_c] :
( ( ! [SY560: set_Sum_sum_c_c,SY561: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SV108 @ SY560 )
| ~ ( ord_le1772180283um_c_c @ SY561 @ SY560 )
| ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV108 @ SY561 ) @ SY560 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[689]) ).
thf(827,plain,
! [SV109: finite1398487019real_c] :
( ( ! [SY562: finite1398487019real_c,SY563: finite1398487019real_c] :
( ( ( produc2010422875real_c @ ( produc394644079real_c @ SV109 @ SY562 ) )
!= SY563 )
| ( SV109 = SY563 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[690]) ).
thf(828,plain,
! [SV110: set_Sum_sum_c_c] :
( ( ! [SY564: set_Sum_sum_c_c,SY565: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SV110 @ SY564 )
| ( ord_le1772180283um_c_c @ SV110 @ ( sup_su1349021703um_c_c @ SY564 @ SY565 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[691]) ).
thf(829,plain,
! [SV111: set_Sum_sum_c_c] :
( ( ! [SY566: set_Sum_sum_c_c,SY567: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SV111 @ SY566 )
| ~ ( ord_le1772180283um_c_c @ SY567 @ SY566 )
| ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV111 @ SY567 ) @ SY566 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[692]) ).
thf(830,plain,
! [SV112: set_Sum_sum_c_c] :
( ( ! [SY568: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SV112 @ SY568 )
| ( ( sup_su1349021703um_c_c @ SY568 @ SV112 )
= SY568 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[693]) ).
thf(831,plain,
! [SV113: produc640052711real_c] :
( ( ! [SY569: set_Pr754230471real_c,SY570: set_Pr754230471real_c] :
( ~ ( member346808080real_c @ SV113 @ SY569 )
| ( member346808080real_c @ SV113 @ ( sup_su588839579real_c @ SY570 @ SY569 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[694]) ).
thf(832,plain,
! [SV114: set_Sum_sum_c_c] :
( ( ! [SY571: set_Sum_sum_c_c,SY572: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SV114 @ ( sup_su1349021703um_c_c @ SY571 @ SY572 ) )
| ~ ! [SY573: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SY573 @ SY571 )
| ! [SY574: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SY574 @ SY572 )
| ( SV114
!= ( sup_su1349021703um_c_c @ SY573 @ SY574 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[695]) ).
thf(833,plain,
! [SV115: set_Sum_sum_c_c] :
( ( ! [SY575: set_Sum_sum_c_c,SY576: set_Sum_sum_c_c,SY577: set_Sum_sum_c_c] :
( ( SV115
!= ( sup_su1349021703um_c_c @ SY575 @ SY576 ) )
| ( ( sup_su1349021703um_c_c @ SY577 @ SV115 )
= ( sup_su1349021703um_c_c @ SY575 @ ( sup_su1349021703um_c_c @ SY577 @ SY576 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[696]) ).
thf(834,plain,
! [SV116: produc640052711real_c] :
( ( ~ ! [SY578: produc190496183real_c] :
~ ~ ! [SY579: produc190496183real_c] :
( SV116
!= ( produc1687028567real_c @ SY578 @ SY579 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[697]) ).
thf(835,plain,
! [SV117: produc190496183real_c] :
( ( ! [SY580: produc190496183real_c,SY581: set_Sum_sum_c_c,SY582: set_Sum_sum_c_c] :
( ~ ( denota1997846518gree_c @ SV117 @ SY580 @ SY581 )
| ~ ( denota1997846518gree_c @ SV117 @ SY580 @ SY582 )
| ( denota1997846518gree_c @ SV117 @ SY580 @ ( sup_su1349021703um_c_c @ SY581 @ SY582 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[698]) ).
thf(836,plain,
! [SV118: finite1398487019real_c] :
( ( ! [SY583: finite1398487019real_c,SY584: finite1398487019real_c,SY585: finite1398487019real_c] :
( ( ( produc394644079real_c @ SV118 @ SY583 )
!= ( produc394644079real_c @ SY584 @ SY585 ) )
| ~ ( ( SV118 != SY584 )
| ( SY583 != SY585 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[699]) ).
thf(837,plain,
! [SV119: produc640052711real_c] :
( ( ! [SY586: produc190496183real_c,SY587: produc190496183real_c] :
( ( SV119
!= ( produc1687028567real_c @ SY586 @ SY587 ) )
| ( ( produc876006723real_c @ SV119 )
= SY586 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[700]) ).
thf(838,plain,
! [SV120: produc640052711real_c] :
( ( ! [SY588: set_Pr754230471real_c,SY589: set_Pr754230471real_c] :
( ~ ( member346808080real_c @ SV120 @ SY588 )
| ( member346808080real_c @ SV120 @ ( sup_su588839579real_c @ SY588 @ SY589 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[701]) ).
thf(839,plain,
! [SV121: produc190496183real_c] :
( ( ! [SY590: produc640052711real_c] :
( ( SV121
= ( produc415593093real_c @ SY590 ) )
= ( ~ ! [SY591: produc190496183real_c] :
( SY590
!= ( produc1687028567real_c @ SY591 @ SV121 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[702]) ).
thf(840,plain,
! [SV122: finite1398487019real_c] :
( ( ! [SY592: produc190496183real_c] :
( ( SV122
= ( produc2010422875real_c @ SY592 ) )
= ( ~ ! [SY593: finite1398487019real_c] :
( SY592
!= ( produc394644079real_c @ SV122 @ SY593 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[703]) ).
thf(841,plain,
! [SV123: set_Sum_sum_c_c] :
( ( ! [SY594: set_Sum_sum_c_c,SY595: produc190496183real_c,SY596: produc190496183real_c] :
( ~ ( ord_le1772180283um_c_c @ SV123 @ SY594 )
| ~ ( denota1997846518gree_c @ SY595 @ SY596 @ SY594 )
| ( denota1997846518gree_c @ SY595 @ SY596 @ SV123 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[704]) ).
thf(842,plain,
! [SV124: finite1398487019real_c] :
( ( ! [SY597: finite1398487019real_c,SY598: finite1398487019real_c,SY599: finite1398487019real_c] :
( ( ( produc394644079real_c @ SV124 @ SY597 )
= ( produc394644079real_c @ SY598 @ SY599 ) )
= ( ~ ( ( SV124 != SY598 )
| ( SY597 != SY599 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[705]) ).
thf(843,plain,
! [SV125: set_Pr754230471real_c,SV1: produc640052711real_c] :
( ( ! [SY600: set_Pr754230471real_c] :
( ( member346808080real_c @ SV1 @ ( sup_su588839579real_c @ SV125 @ SY600 ) )
= ( ( member346808080real_c @ SV1 @ SV125 )
| ( member346808080real_c @ SV1 @ SY600 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[706]) ).
thf(844,plain,
! [SV126: set_Sum_sum_c_c,SV2: sum_sum_c_c] :
( ( ! [SY601: set_Sum_sum_c_c] :
( ( member_Sum_sum_c_c @ SV2 @ ( sup_su1349021703um_c_c @ SV126 @ SY601 ) )
= ( ( member_Sum_sum_c_c @ SV2 @ SV126 )
| ( member_Sum_sum_c_c @ SV2 @ SY601 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[707]) ).
thf(845,plain,
! [SV127: set_Sum_sum_c_c,SV5: set_Sum_sum_c_c] :
( ( ( sup_su1349021703um_c_c @ SV5 @ ( sup_su1349021703um_c_c @ SV5 @ SV127 ) )
= ( sup_su1349021703um_c_c @ SV5 @ SV127 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[710]) ).
thf(846,plain,
! [SV128: set_Sum_sum_c_c,SV6: set_Sum_sum_c_c] :
( ( ( sup_su1349021703um_c_c @ ( sup_su1349021703um_c_c @ SV6 @ SV128 ) @ SV128 )
= ( sup_su1349021703um_c_c @ SV6 @ SV128 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[711]) ).
thf(847,plain,
! [SV129: set_Sum_sum_c_c,SV7: set_Sum_sum_c_c] :
( ( ( sup_su1349021703um_c_c @ SV7 @ ( sup_su1349021703um_c_c @ SV7 @ SV129 ) )
= ( sup_su1349021703um_c_c @ SV7 @ SV129 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[712]) ).
thf(848,plain,
! [SV130: produc640052711real_c > $o,SV8: produc640052711real_c] :
( ( ( member346808080real_c @ SV8 @ ( collec1126017874real_c @ SV130 ) )
= ( SV130 @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[713]) ).
thf(849,plain,
! [SV131: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV131 )
= ( ^ [SY602: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ SV131 @ SY602 )
= SY602 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[715]) ).
thf(850,plain,
! [SV132: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV132 )
= ( ^ [SY603: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ SY603 @ SV132 )
= SY603 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[717]) ).
thf(851,plain,
! [SV133: set_Sum_sum_c_c,SV12: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ SV12 @ ( sup_su1349021703um_c_c @ SV133 @ SV12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[719]) ).
thf(852,plain,
! [SV134: set_Sum_sum_c_c,SV13: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ SV13 @ ( sup_su1349021703um_c_c @ SV13 @ SV134 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[720]) ).
thf(853,plain,
! [SV135: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV135 )
= ( ^ [SY604: set_Sum_sum_c_c] :
( SY604
= ( sup_su1349021703um_c_c @ SY604 @ SV135 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[721]) ).
thf(854,plain,
! [SV136: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV136 )
= ( ^ [SY605: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ SV136 @ SY605 )
= SY605 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[723]) ).
thf(855,plain,
! [SV137: set_Sum_sum_c_c,SV16: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ SV16 @ ( sup_su1349021703um_c_c @ SV137 @ SV16 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[725]) ).
thf(856,plain,
! [SV138: set_Sum_sum_c_c,SV17: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ SV17 @ ( sup_su1349021703um_c_c @ SV17 @ SV138 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[726]) ).
thf(857,plain,
! [SV139: set_Sum_sum_c_c,SV18: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ SV18 @ ( sup_su1349021703um_c_c @ SV18 @ SV139 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[727]) ).
thf(858,plain,
! [SV140: set_Sum_sum_c_c,SV19: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ SV19 @ ( sup_su1349021703um_c_c @ SV140 @ SV19 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[728]) ).
thf(859,plain,
! [SV141: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV141 )
= ( ^ [SY606: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ SV141 @ SY606 )
= SY606 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[729]) ).
thf(860,plain,
! [SV142: set_Sum_sum_c_c,SV21: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ SV21 @ ( sup_su1349021703um_c_c @ SV142 @ SV21 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[731]) ).
thf(861,plain,
! [SV143: set_Sum_sum_c_c,SV22: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ SV22 @ ( sup_su1349021703um_c_c @ SV22 @ SV143 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[732]) ).
thf(862,plain,
! [SV144: set_Sum_sum_c_c,SV23: set_Sum_sum_c_c] :
( ( ! [SY607: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ SV23 @ ( sup_su1349021703um_c_c @ SV144 @ SY607 ) )
= ( sup_su1349021703um_c_c @ SV144 @ ( sup_su1349021703um_c_c @ SV23 @ SY607 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[733]) ).
thf(863,plain,
! [SV145: set_Sum_sum_c_c,SV24: set_Sum_sum_c_c] :
( ( ! [SY608: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ SV24 @ ( sup_su1349021703um_c_c @ SV145 @ SY608 ) )
= ( sup_su1349021703um_c_c @ SV145 @ ( sup_su1349021703um_c_c @ SV24 @ SY608 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[734]) ).
thf(864,plain,
! [SV146: set_Sum_sum_c_c] :
( ( ( sup_su1349021703um_c_c @ SV146 )
= ( ^ [SY609: set_Sum_sum_c_c] : ( sup_su1349021703um_c_c @ SY609 @ SV146 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[735]) ).
thf(865,plain,
! [SV147: set_Sum_sum_c_c] :
( ( ( sup_su1349021703um_c_c @ SV147 )
= ( ^ [SY610: set_Sum_sum_c_c] : ( sup_su1349021703um_c_c @ SY610 @ SV147 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[737]) ).
thf(866,plain,
! [SV148: set_Sum_sum_c_c,SV27: set_Sum_sum_c_c] :
( ( ! [SY611: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ ( sup_su1349021703um_c_c @ SV27 @ SV148 ) @ SY611 )
= ( sup_su1349021703um_c_c @ SV27 @ ( sup_su1349021703um_c_c @ SV148 @ SY611 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[739]) ).
thf(867,plain,
! [SV149: set_Sum_sum_c_c,SV28: set_Sum_sum_c_c] :
( ( ! [SY612: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ ( sup_su1349021703um_c_c @ SV28 @ SV149 ) @ SY612 )
= ( sup_su1349021703um_c_c @ SV28 @ ( sup_su1349021703um_c_c @ SV149 @ SY612 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[740]) ).
thf(868,plain,
! [SV150: set_Sum_sum_c_c] :
( ( ( sup_su1349021703um_c_c @ SV150 )
= ( ^ [SY613: set_Sum_sum_c_c] : ( sup_su1349021703um_c_c @ SY613 @ SV150 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[741]) ).
thf(869,plain,
! [SV151: set_Sum_sum_c_c,SV30: set_Sum_sum_c_c] :
( ( ! [SY614: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ ( sup_su1349021703um_c_c @ SV30 @ SV151 ) @ SY614 )
= ( sup_su1349021703um_c_c @ SV30 @ ( sup_su1349021703um_c_c @ SV151 @ SY614 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[743]) ).
thf(870,plain,
! [SV152: set_Sum_sum_c_c,SV31: set_Sum_sum_c_c] :
( ( ! [SY615: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ SV31 @ ( sup_su1349021703um_c_c @ SV152 @ SY615 ) )
= ( sup_su1349021703um_c_c @ SV152 @ ( sup_su1349021703um_c_c @ SV31 @ SY615 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[744]) ).
thf(871,plain,
! [SV153: set_Sum_sum_c_c,SV32: set_Sum_sum_c_c] :
( ( ( sup_su1349021703um_c_c @ SV32 @ ( sup_su1349021703um_c_c @ SV32 @ SV153 ) )
= ( sup_su1349021703um_c_c @ SV32 @ SV153 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[745]) ).
thf(872,plain,
! [SV154: set_Sum_sum_c_c,SV33: set_Sum_sum_c_c] :
( ( ! [SY616: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ SV33 @ ( sup_su1349021703um_c_c @ SV154 @ SY616 ) )
= ( sup_su1349021703um_c_c @ SV154 @ ( sup_su1349021703um_c_c @ SV33 @ SY616 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[746]) ).
thf(873,plain,
! [SV155: set_Sum_sum_c_c,SV34: set_Sum_sum_c_c] :
( ( ( sup_su1349021703um_c_c @ SV34 @ ( sup_su1349021703um_c_c @ SV34 @ SV155 ) )
= ( sup_su1349021703um_c_c @ SV34 @ SV155 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[747]) ).
thf(874,plain,
! [SV156: set_Sum_sum_c_c] :
( ( ( sup_su1349021703um_c_c @ SV156 )
= ( ^ [SY617: set_Sum_sum_c_c] : ( sup_su1349021703um_c_c @ SY617 @ SV156 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[748]) ).
thf(875,plain,
! [SV157: set_Sum_sum_c_c,SV37: set_Sum_sum_c_c] :
( ( ! [SY618: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ ( sup_su1349021703um_c_c @ SV37 @ SV157 ) @ SY618 )
= ( sup_su1349021703um_c_c @ SV37 @ ( sup_su1349021703um_c_c @ SV157 @ SY618 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[751]) ).
thf(876,plain,
! [SV158: hp_a_b_c,SV38: hp_a_b_c] :
( ( ( static_FVP_a_b_c @ ( choice_a_b_c @ SV38 @ SV158 ) )
= ( sup_su1349021703um_c_c @ ( static_FVP_a_b_c @ SV38 ) @ ( static_FVP_a_b_c @ SV158 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[752]) ).
thf(877,plain,
! [SV159: set_Sum_sum_c_c,SV39: produc190496183real_c] :
( ( denota1997846518gree_c @ SV39 @ SV39 @ SV159 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[753]) ).
thf(878,plain,
! [SV160: hp_a_b_c,SV40: denota231621370t_unit] :
( ( ! [SY619: hp_a_b_c] :
( ( denota904684656_a_b_c @ SV40 @ ( choice_a_b_c @ SV160 @ SY619 ) )
= ( sup_su588839579real_c @ ( denota904684656_a_b_c @ SV40 @ SV160 ) @ ( denota904684656_a_b_c @ SV40 @ SY619 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[754]) ).
thf(879,plain,
! [SV161: produc190496183real_c,SV41: produc190496183real_c] :
( ( ( produc876006723real_c @ ( produc1687028567real_c @ SV41 @ SV161 ) )
= SV41 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[755]) ).
thf(880,plain,
! [SV162: finite1398487019real_c,SV42: finite1398487019real_c] :
( ( ( produc2010422875real_c @ ( produc394644079real_c @ SV42 @ SV162 ) )
= SV42 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[756]) ).
thf(881,plain,
! [SV163: produc190496183real_c,SV43: produc190496183real_c] :
( ( ( produc415593093real_c @ ( produc1687028567real_c @ SV43 @ SV163 ) )
= SV163 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[757]) ).
thf(882,plain,
! [SV164: finite1398487019real_c,SV44: finite1398487019real_c] :
( ( ( produc314122909real_c @ ( produc394644079real_c @ SV44 @ SV164 ) )
= SV164 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[758]) ).
thf(883,plain,
! [SV165: produc190496183real_c,SV45: produc190496183real_c] :
( ( ( produc350724343real_c @ ( produc1687028567real_c @ SV45 @ SV165 ) )
= ( produc1687028567real_c @ SV165 @ SV45 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[759]) ).
thf(884,plain,
! [SV166: finite1398487019real_c,SV46: finite1398487019real_c] :
( ( ( produc704157711real_c @ ( produc394644079real_c @ SV46 @ SV166 ) )
= ( produc394644079real_c @ SV166 @ SV46 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[760]) ).
thf(885,plain,
! [SV167: produc190496183real_c,SV47: finite1398487019real_c] :
( ( ( SV47
= ( produc314122909real_c @ SV167 ) )
= ( ~ ! [SY620: finite1398487019real_c] :
( SV167
!= ( produc394644079real_c @ SY620 @ SV47 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[761]) ).
thf(886,plain,
! [SV168: produc640052711real_c,SV48: produc190496183real_c] :
( ( ( SV48
= ( produc876006723real_c @ SV168 ) )
= ( ~ ! [SY621: produc190496183real_c] :
( SV168
!= ( produc1687028567real_c @ SV48 @ SY621 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[762]) ).
thf(887,plain,
! [SV169: produc190496183real_c,SV49: produc190496183real_c > $o] :
( ( ~ ! [SY422: finite1398487019real_c,SY423: finite1398487019real_c] : ( SV49 @ ( produc394644079real_c @ SY422 @ SY423 ) )
| ( SV49 @ SV169 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[763]) ).
thf(888,plain,
! [SV170: set_Sum_sum_c_c,SV50: set_Sum_sum_c_c] :
( ( ~ ( ord_le1772180283um_c_c @ SV50 @ SV170 )
| ( ( sup_su1349021703um_c_c @ SV50 @ SV170 )
= SV170 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[764]) ).
thf(889,plain,
! [SV171: produc190496183real_c,SV51: produc190496183real_c] :
( ( ! [SY624: produc190496183real_c,SY625: produc190496183real_c] :
( ( ( produc1687028567real_c @ SV51 @ SV171 )
!= ( produc1687028567real_c @ SY624 @ SY625 ) )
| ~ ( ( SV51 != SY624 )
| ( SV171 != SY625 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[765]) ).
thf(890,plain,
! [SV52: produc190496183real_c] :
( ( ! [SY428: finite1398487019real_c,SY429: finite1398487019real_c] :
( SV52
!= ( produc394644079real_c @ SY428 @ SY429 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[766]) ).
thf(891,plain,
! [SV172: produc190496183real_c,SV53: produc190496183real_c] :
( ( ! [SY626: set_Sum_sum_c_c] :
( ~ ( denota1997846518gree_c @ SV53 @ SV172 @ SY626 )
| ( denota1997846518gree_c @ SV172 @ SV53 @ SY626 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[767]) ).
thf(892,plain,
! [SV173: finite1398487019real_c,SV54: produc190496183real_c] :
( ( ! [SY627: finite1398487019real_c] :
( ( SV54
!= ( produc394644079real_c @ SV173 @ SY627 ) )
| ( ( produc2010422875real_c @ SV54 )
= SV173 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[768]) ).
thf(893,plain,
! [SV174: hp_a_b_c,SV55: hp_a_b_c] :
( ( ! [SY628: hp_a_b_c,SY629: hp_a_b_c] :
( ( ( choice_a_b_c @ SV55 @ SV174 )
= ( choice_a_b_c @ SY628 @ SY629 ) )
= ( ~ ( ( SV55 != SY628 )
| ( SV174 != SY629 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[769]) ).
thf(894,plain,
! [SV175: set_Sum_sum_c_c,SV56: set_Sum_sum_c_c] :
( ( ! [SY630: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SV56 @ SV175 )
| ~ ( ord_le1772180283um_c_c @ SY630 @ SV175 )
| ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV56 @ SY630 ) @ SV175 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[770]) ).
thf(895,plain,
! [SV176: set_Sum_sum_c_c,SV57: set_Sum_sum_c_c] :
( ( ! [SY631: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SV57 @ SV176 )
| ( ord_le1772180283um_c_c @ SV57 @ ( sup_su1349021703um_c_c @ SY631 @ SV176 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[771]) ).
thf(896,plain,
! [SV177: hp_a_b_c,SV58: hp_a_b_c] :
( ( ( hpsafe_a_b_c @ ( choice_a_b_c @ SV58 @ SV177 ) )
= ( ~ ( ~ ( hpsafe_a_b_c @ SV58 )
| ~ ( hpsafe_a_b_c @ SV177 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[772]) ).
thf(897,plain,
! [SV178: set_Sum_sum_c_c,SV59: set_Sum_sum_c_c] :
( ( ! [SY632: set_Sum_sum_c_c,SY633: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SV59 @ SV178 )
| ~ ( ord_le1772180283um_c_c @ SY632 @ SY633 )
| ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV59 @ SY632 ) @ ( sup_su1349021703um_c_c @ SV178 @ SY633 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[773]) ).
thf(898,plain,
! [SV179: set_Sum_sum_c_c,SV60: set_Sum_sum_c_c] :
( ( ~ ( ord_le1772180283um_c_c @ SV60 @ SV179 )
| ( SV179
= ( sup_su1349021703um_c_c @ SV179 @ SV60 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[774]) ).
thf(899,plain,
! [SV180: set_Sum_sum_c_c,SV61: set_Sum_sum_c_c] :
( ( ~ ( ord_le1772180283um_c_c @ SV61 @ SV180 )
| ( ( sup_su1349021703um_c_c @ SV180 @ SV61 )
= SV180 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[775]) ).
thf(900,plain,
! [SV181: produc190496183real_c,SV62: produc190496183real_c] :
( ( ! [SY634: produc190496183real_c,SY635: produc190496183real_c] :
( ( ( produc1687028567real_c @ SV62 @ SV181 )
= ( produc1687028567real_c @ SY634 @ SY635 ) )
= ( ~ ( ( SV62 != SY634 )
| ( SV181 != SY635 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[776]) ).
thf(901,plain,
! [SV182: set_Sum_sum_c_c,SV63: set_Sum_sum_c_c] :
( ( ~ ( ord_le1772180283um_c_c @ SV63 @ SV182 )
| ( ( sup_su1349021703um_c_c @ SV63 @ SV182 )
= SV182 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[777]) ).
thf(902,plain,
! [SV183: set_Sum_sum_c_c,SV64: set_Sum_sum_c_c] :
( ( ! [SY636: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV64 @ SV183 ) @ SY636 )
| ~ ( ~ ( ord_le1772180283um_c_c @ SV64 @ SY636 )
| ~ ( ord_le1772180283um_c_c @ SV183 @ SY636 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[778]) ).
thf(903,plain,
! [SV184: set_Sum_sum_c_c,SV65: set_Sum_sum_c_c] :
( ( ! [SY637: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV65 @ SV184 ) @ SY637 )
| ~ ( ~ ( ord_le1772180283um_c_c @ SV65 @ SY637 )
| ~ ( ord_le1772180283um_c_c @ SV184 @ SY637 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[779]) ).
thf(904,plain,
! [SV185: produc640052711real_c,SV66: produc640052711real_c > $o] :
( ( ~ ! [SY456: produc190496183real_c,SY457: produc190496183real_c] : ( SV66 @ ( produc1687028567real_c @ SY456 @ SY457 ) )
| ( SV66 @ SV185 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[780]) ).
thf(905,plain,
! [SV186: set_Pr754230471real_c,SV67: set_Pr754230471real_c] :
( ( ! [SY640: produc640052711real_c] :
( ~ ( ord_le1988344935real_c @ SV67 @ SV186 )
| ~ ( member346808080real_c @ SY640 @ SV67 )
| ( member346808080real_c @ SY640 @ SV186 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[781]) ).
thf(906,plain,
! [SV187: set_Pr754230471real_c] :
( ( ( ord_le1988344935real_c @ SV187 )
= ( ^ [SY641: set_Pr754230471real_c] :
! [SY642: produc640052711real_c] :
( ~ ( member346808080real_c @ SY642 @ SV187 )
| ( member346808080real_c @ SY642 @ SY641 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[782]) ).
thf(907,plain,
! [SV188: set_Sum_sum_c_c,SV69: set_Sum_sum_c_c] :
( ( ~ ( ord_le1772180283um_c_c @ SV69 @ SV188 )
| ( ( sup_su1349021703um_c_c @ SV188 @ SV69 )
= SV188 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[784]) ).
thf(908,plain,
! [SV189: set_Pr754230471real_c,SV70: set_Pr754230471real_c] :
( ( ~ ! [SY643: produc640052711real_c] :
( ~ ( member346808080real_c @ SY643 @ SV70 )
| ( member346808080real_c @ SY643 @ SV189 ) )
| ( ord_le1988344935real_c @ SV70 @ SV189 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[785]) ).
thf(909,plain,
! [SV190: finite1398487019real_c,SV71: finite1398487019real_c] :
( ( ! [SY644: finite1398487019real_c,SY645: finite1398487019real_c] :
( ( ( produc394644079real_c @ SV71 @ SV190 )
= ( produc394644079real_c @ SY644 @ SY645 ) )
= ( ~ ( ( SV71 != SY644 )
| ( SV190 != SY645 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[786]) ).
thf(910,plain,
! [SV191: set_Sum_sum_c_c,SV72: set_Sum_sum_c_c] :
( ( ! [SY646: sum_sum_c_c > $o] :
( ( ~ ! [SY647: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY647 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
| ~ ( SY646 @ SY647 ) ) )
= ( ~ ! [SY471: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY471 @ SV72 )
| ~ ( SY646 @ SY471 ) )
| ~ ! [SY649: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY649 @ SV191 )
| ~ ( SY646 @ SY649 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[787]) ).
thf(911,plain,
! [SV192: set_Sum_sum_c_c,SV73: sum_sum_c_c] :
( ( ! [SY650: set_Sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SV73 @ ( sup_su1349021703um_c_c @ SV192 @ SY650 ) )
| ~ ~ ( member_Sum_sum_c_c @ SV73 @ SV192 )
| ( member_Sum_sum_c_c @ SV73 @ SY650 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[788]) ).
thf(912,plain,
! [SV193: set_Sum_sum_c_c,SV74: set_Sum_sum_c_c] :
( ( ! [SY651: set_Sum_sum_c_c,SY652: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SV74 @ SV193 )
| ~ ( ord_le1772180283um_c_c @ SY651 @ SY652 )
| ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV74 @ SY651 ) @ ( sup_su1349021703um_c_c @ SV193 @ SY652 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[789]) ).
thf(913,plain,
! [SV194: produc640052711real_c,SV75: produc640052711real_c > $o] :
( ( ~ ! [SY479: produc190496183real_c,SY480: produc190496183real_c] : ( SV75 @ ( produc1687028567real_c @ SY479 @ SY480 ) )
| ( SV75 @ SV194 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[790]) ).
thf(914,plain,
! [SV195: set_Sum_sum_c_c,SV76: set_Sum_sum_c_c] :
( ( ! [SY655: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SV76 @ SV195 )
| ~ ( ord_le1772180283um_c_c @ SY655 @ SV195 )
| ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV76 @ SY655 ) @ SV195 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[791]) ).
thf(915,plain,
! [SV196: produc190496183real_c,SV77: produc190496183real_c > $o] :
( ( ~ ! [SY484: finite1398487019real_c,SY485: finite1398487019real_c] : ( SV77 @ ( produc394644079real_c @ SY484 @ SY485 ) )
| ( SV77 @ SV196 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[792]) ).
thf(916,plain,
! [SV197: produc190496183real_c,SV78: produc190496183real_c] :
( ( ! [SY658: produc190496183real_c,SY659: produc190496183real_c] :
( ( ( produc1687028567real_c @ SV78 @ SV197 )
= ( produc1687028567real_c @ SY658 @ SY659 ) )
= ( ~ ( ( SV78 != SY658 )
| ( SV197 != SY659 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[793]) ).
thf(917,plain,
! [SV198: produc190496183real_c,SV79: produc640052711real_c] :
( ( ! [SY660: produc190496183real_c] :
( ( SV79
!= ( produc1687028567real_c @ SV198 @ SY660 ) )
| ( ( produc415593093real_c @ SV79 )
= SY660 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[794]) ).
thf(918,plain,
! [SV199: set_Pr754230471real_c] :
( ( ( ord_le1988344935real_c @ SV199 )
= ( ^ [SY661: set_Pr754230471real_c] :
! [SY662: produc640052711real_c] :
( ~ ( member346808080real_c @ SY662 @ SV199 )
| ( member346808080real_c @ SY662 @ SY661 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[795]) ).
thf(919,plain,
! [SV200: set_Sum_sum_c_c,SV81: sum_sum_c_c] :
( ( ! [SY663: set_Sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SV81 @ SV200 )
| ( member_Sum_sum_c_c @ SV81 @ ( sup_su1349021703um_c_c @ SV200 @ SY663 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[797]) ).
thf(920,plain,
! [SV201: set_Sum_sum_c_c,SV82: sum_sum_c_c] :
( ( ! [SY664: set_Sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SV82 @ SV201 )
| ( member_Sum_sum_c_c @ SV82 @ ( sup_su1349021703um_c_c @ SY664 @ SV201 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[798]) ).
thf(921,plain,
! [SV202: produc640052711real_c,SV83: produc640052711real_c > $o] :
( ( ~ ! [SY498: produc190496183real_c,SY499: finite1398487019real_c,SY500: finite1398487019real_c] : ( SV83 @ ( produc1687028567real_c @ SY498 @ ( produc394644079real_c @ SY499 @ SY500 ) ) )
| ( SV83 @ SV202 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[799]) ).
thf(922,plain,
! [SV203: set_Sum_sum_c_c,SV84: set_Sum_sum_c_c] :
( ( ! [SY668: set_Sum_sum_c_c,SY669: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SV84 @ SV203 )
| ~ ( ord_le1772180283um_c_c @ SY668 @ SY669 )
| ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV84 @ SY668 ) @ ( sup_su1349021703um_c_c @ SV203 @ SY669 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[800]) ).
thf(923,plain,
! [SV85: produc640052711real_c] :
( ( ! [SY504: produc190496183real_c,SY505: finite1398487019real_c,SY506: finite1398487019real_c] :
( SV85
!= ( produc1687028567real_c @ SY504 @ ( produc394644079real_c @ SY505 @ SY506 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[801]) ).
thf(924,plain,
! [SV86: produc640052711real_c] :
( ( ! [SY507: produc190496183real_c,SY508: produc190496183real_c] :
( SV86
!= ( produc1687028567real_c @ SY507 @ SY508 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[802]) ).
thf(925,plain,
! [SV204: set_Pr754230471real_c,SV87: set_Pr754230471real_c] :
( ( ! [SY670: produc640052711real_c] :
( ~ ( ord_le1988344935real_c @ SV87 @ SV204 )
| ~ ( member346808080real_c @ SY670 @ SV87 )
| ( member346808080real_c @ SY670 @ SV204 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[803]) ).
thf(926,plain,
! [SV205: set_Sum_sum_c_c,SV88: set_Sum_sum_c_c] :
( ( ! [SY671: produc190496183real_c,SY672: produc190496183real_c] :
( ~ ( ord_le1772180283um_c_c @ SV88 @ SV205 )
| ~ ( denota1997846518gree_c @ SY671 @ SY672 @ SV205 )
| ( denota1997846518gree_c @ SY671 @ SY672 @ SV88 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[804]) ).
thf(927,plain,
! [SV206: set_Sum_sum_c_c,SV89: set_Sum_sum_c_c] :
( ( ( SV89
!= ( sup_su1349021703um_c_c @ SV89 @ SV206 ) )
| ( ord_le1772180283um_c_c @ SV206 @ SV89 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[805]) ).
thf(928,plain,
! [SV207: produc190496183real_c,SV90: produc190496183real_c] :
( ( ! [SY673: produc190496183real_c] :
( ( ( produc876006723real_c @ ( produc1687028567real_c @ SV90 @ SV207 ) )
!= SY673 )
| ( SV90 = SY673 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[806]) ).
thf(929,plain,
! [SV208: set_Pr754230471real_c,SV91: produc640052711real_c] :
( ( ! [SY674: set_Pr754230471real_c] :
( ~ ( member346808080real_c @ SV91 @ ( sup_su588839579real_c @ SV208 @ SY674 ) )
| ~ ~ ( member346808080real_c @ SV91 @ SV208 )
| ( member346808080real_c @ SV91 @ SY674 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[807]) ).
thf(930,plain,
( ( ~ ( member346808080real_c @ ( produc1687028567real_c @ ( produc394644079real_c @ nu_22 @ nu_2 ) @ sK1_SX0 ) @ ( denota904684656_a_b_c @ j @ b ) )
| ~ ( denota1997846518gree_c @ ( produc394644079real_c @ mu3 @ mu2 ) @ sK1_SX0 @ ( sup_su1349021703um_c_c @ ( static_MBV_a_b_c @ b ) @ v ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[808]) ).
thf(931,plain,
! [SV209: set_Sum_sum_c_c,SV92: set_Sum_sum_c_c] :
( ( ! [SY675: set_Sum_sum_c_c,SY676: set_Sum_sum_c_c] :
( ( SV92
!= ( sup_su1349021703um_c_c @ SV209 @ SY675 ) )
| ( ( sup_su1349021703um_c_c @ SV92 @ SY676 )
= ( sup_su1349021703um_c_c @ SV209 @ ( sup_su1349021703um_c_c @ SY675 @ SY676 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[809]) ).
thf(932,plain,
! [SV210: finite1398487019real_c,SV93: produc190496183real_c] :
( ( ! [SY677: finite1398487019real_c] :
( ( SV93
!= ( produc394644079real_c @ SV210 @ SY677 ) )
| ( ( produc314122909real_c @ SV93 )
= SY677 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[810]) ).
thf(933,plain,
( ( ! [SX0: produc190496183real_c] :
~ ~ ( ~ ( member346808080real_c @ ( produc1687028567real_c @ ( produc394644079real_c @ nu_22 @ nu_2 ) @ SX0 ) @ ( denota904684656_a_b_c @ j @ ( choice_a_b_c @ a @ b ) ) )
| ~ ( denota1997846518gree_c @ ( produc394644079real_c @ mu3 @ mu2 ) @ SX0 @ ( sup_su1349021703um_c_c @ ( static_MBV_a_b_c @ ( choice_a_b_c @ a @ b ) ) @ v ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[811]) ).
thf(934,plain,
! [SV211: set_Sum_sum_c_c,SV94: set_Sum_sum_c_c] :
( ( ! [SY678: sum_sum_c_c > $o] :
( ( ! [SY679: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY679 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
| ( SY678 @ SY679 ) ) )
= ( ~ ( ~ ! [SY527: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY527 @ SV94 )
| ( SY678 @ SY527 ) )
| ~ ! [SY681: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY681 @ SV211 )
| ( SY678 @ SY681 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[812]) ).
thf(935,plain,
! [SV212: finite1398487019real_c,SV95: finite1398487019real_c] :
( ( ! [SY682: finite1398487019real_c] :
( ( ( produc314122909real_c @ ( produc394644079real_c @ SV95 @ SV212 ) )
!= SY682 )
| ( SV212 = SY682 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[813]) ).
thf(936,plain,
! [SV213: set_Sum_sum_c_c,SV96: set_Sum_sum_c_c] :
( ( ! [SY683: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV96 @ SV213 ) @ SY683 )
= ( ~ ( ~ ( ord_le1772180283um_c_c @ SV96 @ SY683 )
| ~ ( ord_le1772180283um_c_c @ SV213 @ SY683 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[814]) ).
thf(937,plain,
! [SV214: set_Sum_sum_c_c,SV97: sum_sum_c_c] :
( ( ! [SY684: set_Sum_sum_c_c] :
( ~ ( ~ ~ ( member_Sum_sum_c_c @ SV97 @ SV214 )
| ( member_Sum_sum_c_c @ SV97 @ SY684 ) )
| ( member_Sum_sum_c_c @ SV97 @ ( sup_su1349021703um_c_c @ SY684 @ SV214 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[815]) ).
thf(938,plain,
! [SV215: set_Sum_sum_c_c,SV98: set_Sum_sum_c_c] :
( ( ! [SY685: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV98 @ SV215 ) @ SY685 )
= ( ~ ( ~ ( ord_le1772180283um_c_c @ SV98 @ SY685 )
| ~ ( ord_le1772180283um_c_c @ SV215 @ SY685 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[816]) ).
thf(939,plain,
! [SV216: produc190496183real_c,SV99: produc190496183real_c] :
( ( ! [SY686: produc190496183real_c] :
( ( ( produc415593093real_c @ ( produc1687028567real_c @ SV99 @ SV216 ) )
!= SY686 )
| ( SV216 = SY686 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[817]) ).
thf(940,plain,
! [SV217: set_Sum_sum_c_c,SV100: set_Sum_sum_c_c] :
( ( ~ ( ord_le1772180283um_c_c @ SV100 @ SV217 )
| ( ( sup_su1349021703um_c_c @ SV100 @ SV217 )
= SV217 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[818]) ).
thf(941,plain,
! [SV218: set_Pr754230471real_c,SV101: produc640052711real_c] :
( ( ! [SY687: set_Pr754230471real_c] :
( ~ ( ~ ~ ( member346808080real_c @ SV101 @ SV218 )
| ( member346808080real_c @ SV101 @ SY687 ) )
| ( member346808080real_c @ SV101 @ ( sup_su588839579real_c @ SY687 @ SV218 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[819]) ).
thf(942,plain,
! [SV219: set_Sum_sum_c_c,SV102: set_Sum_sum_c_c] :
( ( ! [SY688: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SV102 @ SV219 )
| ( ord_le1772180283um_c_c @ SV102 @ ( sup_su1349021703um_c_c @ SV219 @ SY688 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[820]) ).
thf(943,plain,
! [SV220: set_Sum_sum_c_c,SV103: set_Sum_sum_c_c] :
( ( ! [SY689: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV103 @ SV220 ) @ SY689 )
= ( ~ ( ~ ( ord_le1772180283um_c_c @ SV103 @ SY689 )
| ~ ( ord_le1772180283um_c_c @ SV220 @ SY689 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[821]) ).
thf(944,plain,
! [SV221: hp_a_b_c,SV104: hp_a_b_c] :
( ( ~ ( hpsafe_a_b_c @ SV104 )
| ~ ( hpsafe_a_b_c @ SV221 )
| ( hpsafe_a_b_c @ ( choice_a_b_c @ SV104 @ SV221 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[822]) ).
thf(945,plain,
! [SV222: set_Sum_sum_c_c,SV105: set_Sum_sum_c_c] :
( ( ! [SY690: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SV105 @ SV222 )
| ( ord_le1772180283um_c_c @ SV105 @ ( sup_su1349021703um_c_c @ SY690 @ SV222 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[823]) ).
thf(946,plain,
! [SV106: produc190496183real_c] :
( ( ! [SY549: finite1398487019real_c] :
~ ~ ! [SY550: finite1398487019real_c] :
( SV106
!= ( produc394644079real_c @ SY549 @ SY550 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[824]) ).
thf(947,plain,
! [SV223: set_Sum_sum_c_c,SV107: set_Sum_sum_c_c > set_Sum_sum_c_c > set_Sum_sum_c_c] :
( ( ! [SY691: set_Sum_sum_c_c] :
( ~ ! [SY553: set_Sum_sum_c_c,SY554: set_Sum_sum_c_c] : ( ord_le1772180283um_c_c @ SY553 @ ( SV107 @ SY553 @ SY554 ) )
| ~ ! [SY555: set_Sum_sum_c_c,SY556: set_Sum_sum_c_c] : ( ord_le1772180283um_c_c @ SY556 @ ( SV107 @ SY555 @ SY556 ) )
| ~ ! [SY557: set_Sum_sum_c_c,SY558: set_Sum_sum_c_c,SY559: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SY558 @ SY557 )
| ~ ( ord_le1772180283um_c_c @ SY559 @ SY557 )
| ( ord_le1772180283um_c_c @ ( SV107 @ SY558 @ SY559 ) @ SY557 ) )
| ( ( sup_su1349021703um_c_c @ SV223 @ SY691 )
= ( SV107 @ SV223 @ SY691 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[825]) ).
thf(948,plain,
! [SV224: set_Sum_sum_c_c,SV108: set_Sum_sum_c_c] :
( ( ! [SY699: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SV108 @ SV224 )
| ~ ( ord_le1772180283um_c_c @ SY699 @ SV224 )
| ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV108 @ SY699 ) @ SV224 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[826]) ).
thf(949,plain,
! [SV225: finite1398487019real_c,SV109: finite1398487019real_c] :
( ( ! [SY700: finite1398487019real_c] :
( ( ( produc2010422875real_c @ ( produc394644079real_c @ SV109 @ SV225 ) )
!= SY700 )
| ( SV109 = SY700 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[827]) ).
thf(950,plain,
! [SV226: set_Sum_sum_c_c,SV110: set_Sum_sum_c_c] :
( ( ! [SY701: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SV110 @ SV226 )
| ( ord_le1772180283um_c_c @ SV110 @ ( sup_su1349021703um_c_c @ SV226 @ SY701 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[828]) ).
thf(951,plain,
! [SV227: set_Sum_sum_c_c,SV111: set_Sum_sum_c_c] :
( ( ! [SY702: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SV111 @ SV227 )
| ~ ( ord_le1772180283um_c_c @ SY702 @ SV227 )
| ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV111 @ SY702 ) @ SV227 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[829]) ).
thf(952,plain,
! [SV228: set_Sum_sum_c_c,SV112: set_Sum_sum_c_c] :
( ( ~ ( ord_le1772180283um_c_c @ SV112 @ SV228 )
| ( ( sup_su1349021703um_c_c @ SV228 @ SV112 )
= SV228 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[830]) ).
thf(953,plain,
! [SV229: set_Pr754230471real_c,SV113: produc640052711real_c] :
( ( ! [SY703: set_Pr754230471real_c] :
( ~ ( member346808080real_c @ SV113 @ SV229 )
| ( member346808080real_c @ SV113 @ ( sup_su588839579real_c @ SY703 @ SV229 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[831]) ).
thf(954,plain,
! [SV230: set_Sum_sum_c_c,SV114: set_Sum_sum_c_c] :
( ( ! [SY704: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SV114 @ ( sup_su1349021703um_c_c @ SV230 @ SY704 ) )
| ~ ! [SY705: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SY705 @ SV230 )
| ! [SY574: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SY574 @ SY704 )
| ( SV114
!= ( sup_su1349021703um_c_c @ SY705 @ SY574 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[832]) ).
thf(955,plain,
! [SV231: set_Sum_sum_c_c,SV115: set_Sum_sum_c_c] :
( ( ! [SY707: set_Sum_sum_c_c,SY708: set_Sum_sum_c_c] :
( ( SV115
!= ( sup_su1349021703um_c_c @ SV231 @ SY707 ) )
| ( ( sup_su1349021703um_c_c @ SY708 @ SV115 )
= ( sup_su1349021703um_c_c @ SV231 @ ( sup_su1349021703um_c_c @ SY708 @ SY707 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[833]) ).
thf(956,plain,
! [SV116: produc640052711real_c] :
( ( ! [SY578: produc190496183real_c] :
~ ~ ! [SY579: produc190496183real_c] :
( SV116
!= ( produc1687028567real_c @ SY578 @ SY579 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[834]) ).
thf(957,plain,
! [SV232: produc190496183real_c,SV117: produc190496183real_c] :
( ( ! [SY709: set_Sum_sum_c_c,SY710: set_Sum_sum_c_c] :
( ~ ( denota1997846518gree_c @ SV117 @ SV232 @ SY709 )
| ~ ( denota1997846518gree_c @ SV117 @ SV232 @ SY710 )
| ( denota1997846518gree_c @ SV117 @ SV232 @ ( sup_su1349021703um_c_c @ SY709 @ SY710 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[835]) ).
thf(958,plain,
! [SV233: finite1398487019real_c,SV118: finite1398487019real_c] :
( ( ! [SY711: finite1398487019real_c,SY712: finite1398487019real_c] :
( ( ( produc394644079real_c @ SV118 @ SV233 )
!= ( produc394644079real_c @ SY711 @ SY712 ) )
| ~ ( ( SV118 != SY711 )
| ( SV233 != SY712 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[836]) ).
thf(959,plain,
! [SV234: produc190496183real_c,SV119: produc640052711real_c] :
( ( ! [SY713: produc190496183real_c] :
( ( SV119
!= ( produc1687028567real_c @ SV234 @ SY713 ) )
| ( ( produc876006723real_c @ SV119 )
= SV234 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[837]) ).
thf(960,plain,
! [SV235: set_Pr754230471real_c,SV120: produc640052711real_c] :
( ( ! [SY714: set_Pr754230471real_c] :
( ~ ( member346808080real_c @ SV120 @ SV235 )
| ( member346808080real_c @ SV120 @ ( sup_su588839579real_c @ SV235 @ SY714 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[838]) ).
thf(961,plain,
! [SV236: produc640052711real_c,SV121: produc190496183real_c] :
( ( ( SV121
= ( produc415593093real_c @ SV236 ) )
= ( ~ ! [SY715: produc190496183real_c] :
( SV236
!= ( produc1687028567real_c @ SY715 @ SV121 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[839]) ).
thf(962,plain,
! [SV237: produc190496183real_c,SV122: finite1398487019real_c] :
( ( ( SV122
= ( produc2010422875real_c @ SV237 ) )
= ( ~ ! [SY716: finite1398487019real_c] :
( SV237
!= ( produc394644079real_c @ SV122 @ SY716 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[840]) ).
thf(963,plain,
! [SV238: set_Sum_sum_c_c,SV123: set_Sum_sum_c_c] :
( ( ! [SY717: produc190496183real_c,SY718: produc190496183real_c] :
( ~ ( ord_le1772180283um_c_c @ SV123 @ SV238 )
| ~ ( denota1997846518gree_c @ SY717 @ SY718 @ SV238 )
| ( denota1997846518gree_c @ SY717 @ SY718 @ SV123 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[841]) ).
thf(964,plain,
! [SV239: finite1398487019real_c,SV124: finite1398487019real_c] :
( ( ! [SY719: finite1398487019real_c,SY720: finite1398487019real_c] :
( ( ( produc394644079real_c @ SV124 @ SV239 )
= ( produc394644079real_c @ SY719 @ SY720 ) )
= ( ~ ( ( SV124 != SY719 )
| ( SV239 != SY720 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[842]) ).
thf(965,plain,
! [SV240: set_Pr754230471real_c,SV125: set_Pr754230471real_c,SV1: produc640052711real_c] :
( ( ( member346808080real_c @ SV1 @ ( sup_su588839579real_c @ SV125 @ SV240 ) )
= ( ( member346808080real_c @ SV1 @ SV125 )
| ( member346808080real_c @ SV1 @ SV240 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[843]) ).
thf(966,plain,
! [SV241: set_Sum_sum_c_c,SV126: set_Sum_sum_c_c,SV2: sum_sum_c_c] :
( ( ( member_Sum_sum_c_c @ SV2 @ ( sup_su1349021703um_c_c @ SV126 @ SV241 ) )
= ( ( member_Sum_sum_c_c @ SV2 @ SV126 )
| ( member_Sum_sum_c_c @ SV2 @ SV241 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[844]) ).
thf(967,plain,
! [SV130: produc640052711real_c > $o,SV8: produc640052711real_c] :
( ( ~ ( ( member346808080real_c @ SV8 @ ( collec1126017874real_c @ SV130 ) )
| ( SV130 @ SV8 ) )
| ~ ( ~ ( member346808080real_c @ SV8 @ ( collec1126017874real_c @ SV130 ) )
| ~ ( SV130 @ SV8 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[848]) ).
thf(968,plain,
! [SV130: produc640052711real_c > $o,SV8: produc640052711real_c] :
( ( ( member346808080real_c @ SV8 @ ( collec1126017874real_c @ SV130 ) )
= ( SV130 @ SV8 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[848]) ).
thf(969,plain,
! [SV131: set_Sum_sum_c_c] :
( ( ! [SV242: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ SV131 @ SV242 )
= ( ( sup_su1349021703um_c_c @ SV131 @ SV242 )
= SV242 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[849]) ).
thf(970,plain,
! [SV131: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV131 )
= ( ^ [SY602: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ SV131 @ SY602 )
= SY602 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[849]) ).
thf(971,plain,
! [SV132: set_Sum_sum_c_c] :
( ( ! [SV243: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ SV132 @ SV243 )
= ( ( sup_su1349021703um_c_c @ SV243 @ SV132 )
= SV243 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[850]) ).
thf(972,plain,
! [SV132: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV132 )
= ( ^ [SY603: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ SY603 @ SV132 )
= SY603 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[850]) ).
thf(973,plain,
! [SV135: set_Sum_sum_c_c] :
( ( ! [SV244: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ SV135 @ SV244 )
= ( SV244
= ( sup_su1349021703um_c_c @ SV244 @ SV135 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[853]) ).
thf(974,plain,
! [SV135: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV135 )
= ( ^ [SY604: set_Sum_sum_c_c] :
( SY604
= ( sup_su1349021703um_c_c @ SY604 @ SV135 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[853]) ).
thf(975,plain,
! [SV136: set_Sum_sum_c_c] :
( ( ! [SV245: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ SV136 @ SV245 )
= ( ( sup_su1349021703um_c_c @ SV136 @ SV245 )
= SV245 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[854]) ).
thf(976,plain,
! [SV136: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV136 )
= ( ^ [SY605: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ SV136 @ SY605 )
= SY605 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[854]) ).
thf(977,plain,
! [SV141: set_Sum_sum_c_c] :
( ( ! [SV246: set_Sum_sum_c_c] :
( ( ord_le1772180283um_c_c @ SV141 @ SV246 )
= ( ( sup_su1349021703um_c_c @ SV141 @ SV246 )
= SV246 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[859]) ).
thf(978,plain,
! [SV141: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV141 )
= ( ^ [SY606: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ SV141 @ SY606 )
= SY606 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[859]) ).
thf(979,plain,
! [SV247: set_Sum_sum_c_c,SV144: set_Sum_sum_c_c,SV23: set_Sum_sum_c_c] :
( ( ( sup_su1349021703um_c_c @ SV23 @ ( sup_su1349021703um_c_c @ SV144 @ SV247 ) )
= ( sup_su1349021703um_c_c @ SV144 @ ( sup_su1349021703um_c_c @ SV23 @ SV247 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[862]) ).
thf(980,plain,
! [SV248: set_Sum_sum_c_c,SV145: set_Sum_sum_c_c,SV24: set_Sum_sum_c_c] :
( ( ( sup_su1349021703um_c_c @ SV24 @ ( sup_su1349021703um_c_c @ SV145 @ SV248 ) )
= ( sup_su1349021703um_c_c @ SV145 @ ( sup_su1349021703um_c_c @ SV24 @ SV248 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[863]) ).
thf(981,plain,
! [SV146: set_Sum_sum_c_c] :
( ( ! [SV249: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ SV146 @ SV249 )
= ( sup_su1349021703um_c_c @ SV249 @ SV146 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[864]) ).
thf(982,plain,
! [SV146: set_Sum_sum_c_c] :
( ( ( sup_su1349021703um_c_c @ SV146 )
= ( ^ [SY609: set_Sum_sum_c_c] : ( sup_su1349021703um_c_c @ SY609 @ SV146 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[864]) ).
thf(983,plain,
! [SV147: set_Sum_sum_c_c] :
( ( ! [SV250: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ SV147 @ SV250 )
= ( sup_su1349021703um_c_c @ SV250 @ SV147 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[865]) ).
thf(984,plain,
! [SV147: set_Sum_sum_c_c] :
( ( ( sup_su1349021703um_c_c @ SV147 )
= ( ^ [SY610: set_Sum_sum_c_c] : ( sup_su1349021703um_c_c @ SY610 @ SV147 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[865]) ).
thf(985,plain,
! [SV251: set_Sum_sum_c_c,SV148: set_Sum_sum_c_c,SV27: set_Sum_sum_c_c] :
( ( ( sup_su1349021703um_c_c @ ( sup_su1349021703um_c_c @ SV27 @ SV148 ) @ SV251 )
= ( sup_su1349021703um_c_c @ SV27 @ ( sup_su1349021703um_c_c @ SV148 @ SV251 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[866]) ).
thf(986,plain,
! [SV252: set_Sum_sum_c_c,SV149: set_Sum_sum_c_c,SV28: set_Sum_sum_c_c] :
( ( ( sup_su1349021703um_c_c @ ( sup_su1349021703um_c_c @ SV28 @ SV149 ) @ SV252 )
= ( sup_su1349021703um_c_c @ SV28 @ ( sup_su1349021703um_c_c @ SV149 @ SV252 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[867]) ).
thf(987,plain,
! [SV150: set_Sum_sum_c_c] :
( ( ! [SV253: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ SV150 @ SV253 )
= ( sup_su1349021703um_c_c @ SV253 @ SV150 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[868]) ).
thf(988,plain,
! [SV150: set_Sum_sum_c_c] :
( ( ( sup_su1349021703um_c_c @ SV150 )
= ( ^ [SY613: set_Sum_sum_c_c] : ( sup_su1349021703um_c_c @ SY613 @ SV150 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[868]) ).
thf(989,plain,
! [SV254: set_Sum_sum_c_c,SV151: set_Sum_sum_c_c,SV30: set_Sum_sum_c_c] :
( ( ( sup_su1349021703um_c_c @ ( sup_su1349021703um_c_c @ SV30 @ SV151 ) @ SV254 )
= ( sup_su1349021703um_c_c @ SV30 @ ( sup_su1349021703um_c_c @ SV151 @ SV254 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[869]) ).
thf(990,plain,
! [SV255: set_Sum_sum_c_c,SV152: set_Sum_sum_c_c,SV31: set_Sum_sum_c_c] :
( ( ( sup_su1349021703um_c_c @ SV31 @ ( sup_su1349021703um_c_c @ SV152 @ SV255 ) )
= ( sup_su1349021703um_c_c @ SV152 @ ( sup_su1349021703um_c_c @ SV31 @ SV255 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[870]) ).
thf(991,plain,
! [SV256: set_Sum_sum_c_c,SV154: set_Sum_sum_c_c,SV33: set_Sum_sum_c_c] :
( ( ( sup_su1349021703um_c_c @ SV33 @ ( sup_su1349021703um_c_c @ SV154 @ SV256 ) )
= ( sup_su1349021703um_c_c @ SV154 @ ( sup_su1349021703um_c_c @ SV33 @ SV256 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[872]) ).
thf(992,plain,
! [SV156: set_Sum_sum_c_c] :
( ( ! [SV257: set_Sum_sum_c_c] :
( ( sup_su1349021703um_c_c @ SV156 @ SV257 )
= ( sup_su1349021703um_c_c @ SV257 @ SV156 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[874]) ).
thf(993,plain,
! [SV156: set_Sum_sum_c_c] :
( ( ( sup_su1349021703um_c_c @ SV156 )
= ( ^ [SY617: set_Sum_sum_c_c] : ( sup_su1349021703um_c_c @ SY617 @ SV156 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[874]) ).
thf(994,plain,
! [SV258: set_Sum_sum_c_c,SV157: set_Sum_sum_c_c,SV37: set_Sum_sum_c_c] :
( ( ( sup_su1349021703um_c_c @ ( sup_su1349021703um_c_c @ SV37 @ SV157 ) @ SV258 )
= ( sup_su1349021703um_c_c @ SV37 @ ( sup_su1349021703um_c_c @ SV157 @ SV258 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[875]) ).
thf(995,plain,
! [SV259: hp_a_b_c,SV160: hp_a_b_c,SV40: denota231621370t_unit] :
( ( ( denota904684656_a_b_c @ SV40 @ ( choice_a_b_c @ SV160 @ SV259 ) )
= ( sup_su588839579real_c @ ( denota904684656_a_b_c @ SV40 @ SV160 ) @ ( denota904684656_a_b_c @ SV40 @ SV259 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[878]) ).
thf(996,plain,
! [SV167: produc190496183real_c,SV47: finite1398487019real_c] :
( ( ~ ( ( SV47
= ( produc314122909real_c @ SV167 ) )
| ~ ! [SY620: finite1398487019real_c] :
( SV167
!= ( produc394644079real_c @ SY620 @ SV47 ) ) )
| ~ ( ( SV47
!= ( produc314122909real_c @ SV167 ) )
| ~ ~ ! [SY620: finite1398487019real_c] :
( SV167
!= ( produc394644079real_c @ SY620 @ SV47 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[885]) ).
thf(997,plain,
! [SV167: produc190496183real_c,SV47: finite1398487019real_c] :
( ( ( SV47
= ( produc314122909real_c @ SV167 ) )
= ( ~ ! [SY620: finite1398487019real_c] :
( SV167
!= ( produc394644079real_c @ SY620 @ SV47 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[885]) ).
thf(998,plain,
! [SV168: produc640052711real_c,SV48: produc190496183real_c] :
( ( ~ ( ( SV48
= ( produc876006723real_c @ SV168 ) )
| ~ ! [SY621: produc190496183real_c] :
( SV168
!= ( produc1687028567real_c @ SV48 @ SY621 ) ) )
| ~ ( ( SV48
!= ( produc876006723real_c @ SV168 ) )
| ~ ~ ! [SY621: produc190496183real_c] :
( SV168
!= ( produc1687028567real_c @ SV48 @ SY621 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[886]) ).
thf(999,plain,
! [SV168: produc640052711real_c,SV48: produc190496183real_c] :
( ( ( SV48
= ( produc876006723real_c @ SV168 ) )
= ( ~ ! [SY621: produc190496183real_c] :
( SV168
!= ( produc1687028567real_c @ SV48 @ SY621 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[886]) ).
thf(1000,plain,
! [SV169: produc190496183real_c,SV49: produc190496183real_c > $o] :
( ( ( ~ ! [SY422: finite1398487019real_c,SY423: finite1398487019real_c] : ( SV49 @ ( produc394644079real_c @ SY422 @ SY423 ) ) )
= $true )
| ( ( SV49 @ SV169 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[887]) ).
thf(1001,plain,
! [SV170: set_Sum_sum_c_c,SV50: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV50 @ SV170 ) )
= $true )
| ( ( ( sup_su1349021703um_c_c @ SV50 @ SV170 )
= SV170 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[888]) ).
thf(1002,plain,
! [SV260: produc190496183real_c,SV171: produc190496183real_c,SV51: produc190496183real_c] :
( ( ! [SY721: produc190496183real_c] :
( ( ( produc1687028567real_c @ SV51 @ SV171 )
!= ( produc1687028567real_c @ SV260 @ SY721 ) )
| ~ ( ( SV51 != SV260 )
| ( SV171 != SY721 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[889]) ).
thf(1003,plain,
! [SV52: produc190496183real_c] :
( ( ! [SY722: finite1398487019real_c] :
( SV52
!= ( produc394644079real_c @ ( sK2_SY428 @ SV52 ) @ SY722 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[890]) ).
thf(1004,plain,
! [SV261: set_Sum_sum_c_c,SV172: produc190496183real_c,SV53: produc190496183real_c] :
( ( ~ ( denota1997846518gree_c @ SV53 @ SV172 @ SV261 )
| ( denota1997846518gree_c @ SV172 @ SV53 @ SV261 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[891]) ).
thf(1005,plain,
! [SV262: finite1398487019real_c,SV173: finite1398487019real_c,SV54: produc190496183real_c] :
( ( ( SV54
!= ( produc394644079real_c @ SV173 @ SV262 ) )
| ( ( produc2010422875real_c @ SV54 )
= SV173 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[892]) ).
thf(1006,plain,
! [SV263: hp_a_b_c,SV174: hp_a_b_c,SV55: hp_a_b_c] :
( ( ! [SY723: hp_a_b_c] :
( ( ( choice_a_b_c @ SV55 @ SV174 )
= ( choice_a_b_c @ SV263 @ SY723 ) )
= ( ~ ( ( SV55 != SV263 )
| ( SV174 != SY723 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[893]) ).
thf(1007,plain,
! [SV264: set_Sum_sum_c_c,SV175: set_Sum_sum_c_c,SV56: set_Sum_sum_c_c] :
( ( ~ ( ord_le1772180283um_c_c @ SV56 @ SV175 )
| ~ ( ord_le1772180283um_c_c @ SV264 @ SV175 )
| ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV56 @ SV264 ) @ SV175 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[894]) ).
thf(1008,plain,
! [SV265: set_Sum_sum_c_c,SV176: set_Sum_sum_c_c,SV57: set_Sum_sum_c_c] :
( ( ~ ( ord_le1772180283um_c_c @ SV57 @ SV176 )
| ( ord_le1772180283um_c_c @ SV57 @ ( sup_su1349021703um_c_c @ SV265 @ SV176 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[895]) ).
thf(1009,plain,
! [SV177: hp_a_b_c,SV58: hp_a_b_c] :
( ( ~ ( ( hpsafe_a_b_c @ ( choice_a_b_c @ SV58 @ SV177 ) )
| ~ ( ~ ( hpsafe_a_b_c @ SV58 )
| ~ ( hpsafe_a_b_c @ SV177 ) ) )
| ~ ( ~ ( hpsafe_a_b_c @ ( choice_a_b_c @ SV58 @ SV177 ) )
| ~ ~ ( ~ ( hpsafe_a_b_c @ SV58 )
| ~ ( hpsafe_a_b_c @ SV177 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[896]) ).
thf(1010,plain,
! [SV177: hp_a_b_c,SV58: hp_a_b_c] :
( ( ( hpsafe_a_b_c @ ( choice_a_b_c @ SV58 @ SV177 ) )
= ( ~ ( ~ ( hpsafe_a_b_c @ SV58 )
| ~ ( hpsafe_a_b_c @ SV177 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[896]) ).
thf(1011,plain,
! [SV266: set_Sum_sum_c_c,SV178: set_Sum_sum_c_c,SV59: set_Sum_sum_c_c] :
( ( ! [SY724: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SV59 @ SV178 )
| ~ ( ord_le1772180283um_c_c @ SV266 @ SY724 )
| ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV59 @ SV266 ) @ ( sup_su1349021703um_c_c @ SV178 @ SY724 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[897]) ).
thf(1012,plain,
! [SV179: set_Sum_sum_c_c,SV60: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV60 @ SV179 ) )
= $true )
| ( ( SV179
= ( sup_su1349021703um_c_c @ SV179 @ SV60 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[898]) ).
thf(1013,plain,
! [SV180: set_Sum_sum_c_c,SV61: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV61 @ SV180 ) )
= $true )
| ( ( ( sup_su1349021703um_c_c @ SV180 @ SV61 )
= SV180 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[899]) ).
thf(1014,plain,
! [SV267: produc190496183real_c,SV181: produc190496183real_c,SV62: produc190496183real_c] :
( ( ! [SY725: produc190496183real_c] :
( ( ( produc1687028567real_c @ SV62 @ SV181 )
= ( produc1687028567real_c @ SV267 @ SY725 ) )
= ( ~ ( ( SV62 != SV267 )
| ( SV181 != SY725 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[900]) ).
thf(1015,plain,
! [SV182: set_Sum_sum_c_c,SV63: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV63 @ SV182 ) )
= $true )
| ( ( ( sup_su1349021703um_c_c @ SV63 @ SV182 )
= SV182 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[901]) ).
thf(1016,plain,
! [SV268: set_Sum_sum_c_c,SV183: set_Sum_sum_c_c,SV64: set_Sum_sum_c_c] :
( ( ~ ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV64 @ SV183 ) @ SV268 )
| ~ ( ~ ( ord_le1772180283um_c_c @ SV64 @ SV268 )
| ~ ( ord_le1772180283um_c_c @ SV183 @ SV268 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[902]) ).
thf(1017,plain,
! [SV269: set_Sum_sum_c_c,SV184: set_Sum_sum_c_c,SV65: set_Sum_sum_c_c] :
( ( ~ ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV65 @ SV184 ) @ SV269 )
| ~ ( ~ ( ord_le1772180283um_c_c @ SV65 @ SV269 )
| ~ ( ord_le1772180283um_c_c @ SV184 @ SV269 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[903]) ).
thf(1018,plain,
! [SV185: produc640052711real_c,SV66: produc640052711real_c > $o] :
( ( ( ~ ! [SY456: produc190496183real_c,SY457: produc190496183real_c] : ( SV66 @ ( produc1687028567real_c @ SY456 @ SY457 ) ) )
= $true )
| ( ( SV66 @ SV185 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[904]) ).
thf(1019,plain,
! [SV270: produc640052711real_c,SV186: set_Pr754230471real_c,SV67: set_Pr754230471real_c] :
( ( ~ ( ord_le1988344935real_c @ SV67 @ SV186 )
| ~ ( member346808080real_c @ SV270 @ SV67 )
| ( member346808080real_c @ SV270 @ SV186 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[905]) ).
thf(1020,plain,
! [SV187: set_Pr754230471real_c] :
( ( ! [SV271: set_Pr754230471real_c] :
( ( ord_le1988344935real_c @ SV187 @ SV271 )
= ( ! [SY726: produc640052711real_c] :
( ~ ( member346808080real_c @ SY726 @ SV187 )
| ( member346808080real_c @ SY726 @ SV271 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[906]) ).
thf(1021,plain,
! [SV187: set_Pr754230471real_c] :
( ( ( ord_le1988344935real_c @ SV187 )
= ( ^ [SY641: set_Pr754230471real_c] :
! [SY642: produc640052711real_c] :
( ~ ( member346808080real_c @ SY642 @ SV187 )
| ( member346808080real_c @ SY642 @ SY641 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[906]) ).
thf(1022,plain,
! [SV188: set_Sum_sum_c_c,SV69: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV69 @ SV188 ) )
= $true )
| ( ( ( sup_su1349021703um_c_c @ SV188 @ SV69 )
= SV188 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[907]) ).
thf(1023,plain,
! [SV189: set_Pr754230471real_c,SV70: set_Pr754230471real_c] :
( ( ( ~ ! [SY643: produc640052711real_c] :
( ~ ( member346808080real_c @ SY643 @ SV70 )
| ( member346808080real_c @ SY643 @ SV189 ) ) )
= $true )
| ( ( ord_le1988344935real_c @ SV70 @ SV189 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[908]) ).
thf(1024,plain,
! [SV272: finite1398487019real_c,SV190: finite1398487019real_c,SV71: finite1398487019real_c] :
( ( ! [SY727: finite1398487019real_c] :
( ( ( produc394644079real_c @ SV71 @ SV190 )
= ( produc394644079real_c @ SV272 @ SY727 ) )
= ( ~ ( ( SV71 != SV272 )
| ( SV190 != SY727 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[909]) ).
thf(1025,plain,
! [SV273: sum_sum_c_c > $o,SV191: set_Sum_sum_c_c,SV72: set_Sum_sum_c_c] :
( ( ( ~ ! [SY728: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY728 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
| ~ ( SV273 @ SY728 ) ) )
= ( ~ ! [SY729: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY729 @ SV72 )
| ~ ( SV273 @ SY729 ) )
| ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[910]) ).
thf(1026,plain,
! [SV274: set_Sum_sum_c_c,SV192: set_Sum_sum_c_c,SV73: sum_sum_c_c] :
( ( ~ ( member_Sum_sum_c_c @ SV73 @ ( sup_su1349021703um_c_c @ SV192 @ SV274 ) )
| ~ ~ ( member_Sum_sum_c_c @ SV73 @ SV192 )
| ( member_Sum_sum_c_c @ SV73 @ SV274 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[911]) ).
thf(1027,plain,
! [SV275: set_Sum_sum_c_c,SV193: set_Sum_sum_c_c,SV74: set_Sum_sum_c_c] :
( ( ! [SY731: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SV74 @ SV193 )
| ~ ( ord_le1772180283um_c_c @ SV275 @ SY731 )
| ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV74 @ SV275 ) @ ( sup_su1349021703um_c_c @ SV193 @ SY731 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[912]) ).
thf(1028,plain,
! [SV194: produc640052711real_c,SV75: produc640052711real_c > $o] :
( ( ( ~ ! [SY479: produc190496183real_c,SY480: produc190496183real_c] : ( SV75 @ ( produc1687028567real_c @ SY479 @ SY480 ) ) )
= $true )
| ( ( SV75 @ SV194 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[913]) ).
thf(1029,plain,
! [SV276: set_Sum_sum_c_c,SV195: set_Sum_sum_c_c,SV76: set_Sum_sum_c_c] :
( ( ~ ( ord_le1772180283um_c_c @ SV76 @ SV195 )
| ~ ( ord_le1772180283um_c_c @ SV276 @ SV195 )
| ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV76 @ SV276 ) @ SV195 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[914]) ).
thf(1030,plain,
! [SV196: produc190496183real_c,SV77: produc190496183real_c > $o] :
( ( ( ~ ! [SY484: finite1398487019real_c,SY485: finite1398487019real_c] : ( SV77 @ ( produc394644079real_c @ SY484 @ SY485 ) ) )
= $true )
| ( ( SV77 @ SV196 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[915]) ).
thf(1031,plain,
! [SV277: produc190496183real_c,SV197: produc190496183real_c,SV78: produc190496183real_c] :
( ( ! [SY732: produc190496183real_c] :
( ( ( produc1687028567real_c @ SV78 @ SV197 )
= ( produc1687028567real_c @ SV277 @ SY732 ) )
= ( ~ ( ( SV78 != SV277 )
| ( SV197 != SY732 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[916]) ).
thf(1032,plain,
! [SV278: produc190496183real_c,SV198: produc190496183real_c,SV79: produc640052711real_c] :
( ( ( SV79
!= ( produc1687028567real_c @ SV198 @ SV278 ) )
| ( ( produc415593093real_c @ SV79 )
= SV278 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[917]) ).
thf(1033,plain,
! [SV199: set_Pr754230471real_c] :
( ( ! [SV279: set_Pr754230471real_c] :
( ( ord_le1988344935real_c @ SV199 @ SV279 )
= ( ! [SY733: produc640052711real_c] :
( ~ ( member346808080real_c @ SY733 @ SV199 )
| ( member346808080real_c @ SY733 @ SV279 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[918]) ).
thf(1034,plain,
! [SV199: set_Pr754230471real_c] :
( ( ( ord_le1988344935real_c @ SV199 )
= ( ^ [SY661: set_Pr754230471real_c] :
! [SY662: produc640052711real_c] :
( ~ ( member346808080real_c @ SY662 @ SV199 )
| ( member346808080real_c @ SY662 @ SY661 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[918]) ).
thf(1035,plain,
! [SV280: set_Sum_sum_c_c,SV200: set_Sum_sum_c_c,SV81: sum_sum_c_c] :
( ( ~ ( member_Sum_sum_c_c @ SV81 @ SV200 )
| ( member_Sum_sum_c_c @ SV81 @ ( sup_su1349021703um_c_c @ SV200 @ SV280 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[919]) ).
thf(1036,plain,
! [SV281: set_Sum_sum_c_c,SV201: set_Sum_sum_c_c,SV82: sum_sum_c_c] :
( ( ~ ( member_Sum_sum_c_c @ SV82 @ SV201 )
| ( member_Sum_sum_c_c @ SV82 @ ( sup_su1349021703um_c_c @ SV281 @ SV201 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[920]) ).
thf(1037,plain,
! [SV202: produc640052711real_c,SV83: produc640052711real_c > $o] :
( ( ( ~ ! [SY498: produc190496183real_c,SY499: finite1398487019real_c,SY500: finite1398487019real_c] : ( SV83 @ ( produc1687028567real_c @ SY498 @ ( produc394644079real_c @ SY499 @ SY500 ) ) ) )
= $true )
| ( ( SV83 @ SV202 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[921]) ).
thf(1038,plain,
! [SV282: set_Sum_sum_c_c,SV203: set_Sum_sum_c_c,SV84: set_Sum_sum_c_c] :
( ( ! [SY734: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SV84 @ SV203 )
| ~ ( ord_le1772180283um_c_c @ SV282 @ SY734 )
| ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV84 @ SV282 ) @ ( sup_su1349021703um_c_c @ SV203 @ SY734 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[922]) ).
thf(1039,plain,
! [SV85: produc640052711real_c] :
( ( ! [SY735: finite1398487019real_c,SY736: finite1398487019real_c] :
( SV85
!= ( produc1687028567real_c @ ( sK3_SY504 @ SV85 ) @ ( produc394644079real_c @ SY735 @ SY736 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[923]) ).
thf(1040,plain,
! [SV86: produc640052711real_c] :
( ( ! [SY737: produc190496183real_c] :
( SV86
!= ( produc1687028567real_c @ ( sK4_SY507 @ SV86 ) @ SY737 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[924]) ).
thf(1041,plain,
! [SV283: produc640052711real_c,SV204: set_Pr754230471real_c,SV87: set_Pr754230471real_c] :
( ( ~ ( ord_le1988344935real_c @ SV87 @ SV204 )
| ~ ( member346808080real_c @ SV283 @ SV87 )
| ( member346808080real_c @ SV283 @ SV204 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[925]) ).
thf(1042,plain,
! [SV284: produc190496183real_c,SV205: set_Sum_sum_c_c,SV88: set_Sum_sum_c_c] :
( ( ! [SY738: produc190496183real_c] :
( ~ ( ord_le1772180283um_c_c @ SV88 @ SV205 )
| ~ ( denota1997846518gree_c @ SV284 @ SY738 @ SV205 )
| ( denota1997846518gree_c @ SV284 @ SY738 @ SV88 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[926]) ).
thf(1043,plain,
! [SV206: set_Sum_sum_c_c,SV89: set_Sum_sum_c_c] :
( ( ( SV89
!= ( sup_su1349021703um_c_c @ SV89 @ SV206 ) )
= $true )
| ( ( ord_le1772180283um_c_c @ SV206 @ SV89 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[927]) ).
thf(1044,plain,
! [SV285: produc190496183real_c,SV207: produc190496183real_c,SV90: produc190496183real_c] :
( ( ( ( produc876006723real_c @ ( produc1687028567real_c @ SV90 @ SV207 ) )
!= SV285 )
| ( SV90 = SV285 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[928]) ).
thf(1045,plain,
! [SV286: set_Pr754230471real_c,SV208: set_Pr754230471real_c,SV91: produc640052711real_c] :
( ( ~ ( member346808080real_c @ SV91 @ ( sup_su588839579real_c @ SV208 @ SV286 ) )
| ~ ~ ( member346808080real_c @ SV91 @ SV208 )
| ( member346808080real_c @ SV91 @ SV286 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[929]) ).
thf(1046,plain,
( ( ~ ( member346808080real_c @ ( produc1687028567real_c @ ( produc394644079real_c @ nu_22 @ nu_2 ) @ sK1_SX0 ) @ ( denota904684656_a_b_c @ j @ b ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[930]) ).
thf(1047,plain,
( ( ~ ( denota1997846518gree_c @ ( produc394644079real_c @ mu3 @ mu2 ) @ sK1_SX0 @ ( sup_su1349021703um_c_c @ ( static_MBV_a_b_c @ b ) @ v ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[930]) ).
thf(1048,plain,
! [SV287: set_Sum_sum_c_c,SV209: set_Sum_sum_c_c,SV92: set_Sum_sum_c_c] :
( ( ! [SY739: set_Sum_sum_c_c] :
( ( SV92
!= ( sup_su1349021703um_c_c @ SV209 @ SV287 ) )
| ( ( sup_su1349021703um_c_c @ SV92 @ SY739 )
= ( sup_su1349021703um_c_c @ SV209 @ ( sup_su1349021703um_c_c @ SV287 @ SY739 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[931]) ).
thf(1049,plain,
! [SV288: finite1398487019real_c,SV210: finite1398487019real_c,SV93: produc190496183real_c] :
( ( ( SV93
!= ( produc394644079real_c @ SV210 @ SV288 ) )
| ( ( produc314122909real_c @ SV93 )
= SV288 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[932]) ).
thf(1050,plain,
! [SV289: produc190496183real_c] :
( ( ~ ~ ( ~ ( member346808080real_c @ ( produc1687028567real_c @ ( produc394644079real_c @ nu_22 @ nu_2 ) @ SV289 ) @ ( denota904684656_a_b_c @ j @ ( choice_a_b_c @ a @ b ) ) )
| ~ ( denota1997846518gree_c @ ( produc394644079real_c @ mu3 @ mu2 ) @ SV289 @ ( sup_su1349021703um_c_c @ ( static_MBV_a_b_c @ ( choice_a_b_c @ a @ b ) ) @ v ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[933]) ).
thf(1051,plain,
! [SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c,SV94: set_Sum_sum_c_c] :
( ( ( ! [SY740: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY740 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
| ( SV290 @ SY740 ) ) )
= ( ~ ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) )
| ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[934]) ).
thf(1052,plain,
! [SV291: finite1398487019real_c,SV212: finite1398487019real_c,SV95: finite1398487019real_c] :
( ( ( ( produc314122909real_c @ ( produc394644079real_c @ SV95 @ SV212 ) )
!= SV291 )
| ( SV212 = SV291 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[935]) ).
thf(1053,plain,
! [SV292: set_Sum_sum_c_c,SV213: set_Sum_sum_c_c,SV96: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV96 @ SV213 ) @ SV292 )
= ( ~ ( ~ ( ord_le1772180283um_c_c @ SV96 @ SV292 )
| ~ ( ord_le1772180283um_c_c @ SV213 @ SV292 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[936]) ).
thf(1054,plain,
! [SV293: set_Sum_sum_c_c,SV214: set_Sum_sum_c_c,SV97: sum_sum_c_c] :
( ( ~ ( ~ ~ ( member_Sum_sum_c_c @ SV97 @ SV214 )
| ( member_Sum_sum_c_c @ SV97 @ SV293 ) )
| ( member_Sum_sum_c_c @ SV97 @ ( sup_su1349021703um_c_c @ SV293 @ SV214 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[937]) ).
thf(1055,plain,
! [SV294: set_Sum_sum_c_c,SV215: set_Sum_sum_c_c,SV98: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV98 @ SV215 ) @ SV294 )
= ( ~ ( ~ ( ord_le1772180283um_c_c @ SV98 @ SV294 )
| ~ ( ord_le1772180283um_c_c @ SV215 @ SV294 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[938]) ).
thf(1056,plain,
! [SV295: produc190496183real_c,SV216: produc190496183real_c,SV99: produc190496183real_c] :
( ( ( ( produc415593093real_c @ ( produc1687028567real_c @ SV99 @ SV216 ) )
!= SV295 )
| ( SV216 = SV295 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[939]) ).
thf(1057,plain,
! [SV217: set_Sum_sum_c_c,SV100: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV100 @ SV217 ) )
= $true )
| ( ( ( sup_su1349021703um_c_c @ SV100 @ SV217 )
= SV217 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[940]) ).
thf(1058,plain,
! [SV296: set_Pr754230471real_c,SV218: set_Pr754230471real_c,SV101: produc640052711real_c] :
( ( ~ ( ~ ~ ( member346808080real_c @ SV101 @ SV218 )
| ( member346808080real_c @ SV101 @ SV296 ) )
| ( member346808080real_c @ SV101 @ ( sup_su588839579real_c @ SV296 @ SV218 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[941]) ).
thf(1059,plain,
! [SV297: set_Sum_sum_c_c,SV219: set_Sum_sum_c_c,SV102: set_Sum_sum_c_c] :
( ( ~ ( ord_le1772180283um_c_c @ SV102 @ SV219 )
| ( ord_le1772180283um_c_c @ SV102 @ ( sup_su1349021703um_c_c @ SV219 @ SV297 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[942]) ).
thf(1060,plain,
! [SV298: set_Sum_sum_c_c,SV220: set_Sum_sum_c_c,SV103: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV103 @ SV220 ) @ SV298 )
= ( ~ ( ~ ( ord_le1772180283um_c_c @ SV103 @ SV298 )
| ~ ( ord_le1772180283um_c_c @ SV220 @ SV298 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[943]) ).
thf(1061,plain,
! [SV221: hp_a_b_c,SV104: hp_a_b_c] :
( ( ( ~ ( hpsafe_a_b_c @ SV104 ) )
= $true )
| ( ( ~ ( hpsafe_a_b_c @ SV221 )
| ( hpsafe_a_b_c @ ( choice_a_b_c @ SV104 @ SV221 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[944]) ).
thf(1062,plain,
! [SV299: set_Sum_sum_c_c,SV222: set_Sum_sum_c_c,SV105: set_Sum_sum_c_c] :
( ( ~ ( ord_le1772180283um_c_c @ SV105 @ SV222 )
| ( ord_le1772180283um_c_c @ SV105 @ ( sup_su1349021703um_c_c @ SV299 @ SV222 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[945]) ).
thf(1063,plain,
! [SV106: produc190496183real_c] :
( ( ~ ~ ! [SY743: finite1398487019real_c] :
( SV106
!= ( produc394644079real_c @ ( sK5_SY549 @ SV106 ) @ SY743 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[946]) ).
thf(1064,plain,
! [SV300: set_Sum_sum_c_c,SV223: set_Sum_sum_c_c,SV107: set_Sum_sum_c_c > set_Sum_sum_c_c > set_Sum_sum_c_c] :
( ( ~ ! [SY553: set_Sum_sum_c_c,SY554: set_Sum_sum_c_c] : ( ord_le1772180283um_c_c @ SY553 @ ( SV107 @ SY553 @ SY554 ) )
| ~ ! [SY555: set_Sum_sum_c_c,SY556: set_Sum_sum_c_c] : ( ord_le1772180283um_c_c @ SY556 @ ( SV107 @ SY555 @ SY556 ) )
| ~ ! [SY557: set_Sum_sum_c_c,SY558: set_Sum_sum_c_c,SY559: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SY558 @ SY557 )
| ~ ( ord_le1772180283um_c_c @ SY559 @ SY557 )
| ( ord_le1772180283um_c_c @ ( SV107 @ SY558 @ SY559 ) @ SY557 ) )
| ( ( sup_su1349021703um_c_c @ SV223 @ SV300 )
= ( SV107 @ SV223 @ SV300 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[947]) ).
thf(1065,plain,
! [SV301: set_Sum_sum_c_c,SV224: set_Sum_sum_c_c,SV108: set_Sum_sum_c_c] :
( ( ~ ( ord_le1772180283um_c_c @ SV108 @ SV224 )
| ~ ( ord_le1772180283um_c_c @ SV301 @ SV224 )
| ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV108 @ SV301 ) @ SV224 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[948]) ).
thf(1066,plain,
! [SV302: finite1398487019real_c,SV225: finite1398487019real_c,SV109: finite1398487019real_c] :
( ( ( ( produc2010422875real_c @ ( produc394644079real_c @ SV109 @ SV225 ) )
!= SV302 )
| ( SV109 = SV302 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[949]) ).
thf(1067,plain,
! [SV303: set_Sum_sum_c_c,SV226: set_Sum_sum_c_c,SV110: set_Sum_sum_c_c] :
( ( ~ ( ord_le1772180283um_c_c @ SV110 @ SV226 )
| ( ord_le1772180283um_c_c @ SV110 @ ( sup_su1349021703um_c_c @ SV226 @ SV303 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[950]) ).
thf(1068,plain,
! [SV304: set_Sum_sum_c_c,SV227: set_Sum_sum_c_c,SV111: set_Sum_sum_c_c] :
( ( ~ ( ord_le1772180283um_c_c @ SV111 @ SV227 )
| ~ ( ord_le1772180283um_c_c @ SV304 @ SV227 )
| ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV111 @ SV304 ) @ SV227 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[951]) ).
thf(1069,plain,
! [SV228: set_Sum_sum_c_c,SV112: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV112 @ SV228 ) )
= $true )
| ( ( ( sup_su1349021703um_c_c @ SV228 @ SV112 )
= SV228 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[952]) ).
thf(1070,plain,
! [SV305: set_Pr754230471real_c,SV229: set_Pr754230471real_c,SV113: produc640052711real_c] :
( ( ~ ( member346808080real_c @ SV113 @ SV229 )
| ( member346808080real_c @ SV113 @ ( sup_su588839579real_c @ SV305 @ SV229 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[953]) ).
thf(1071,plain,
! [SV306: set_Sum_sum_c_c,SV230: set_Sum_sum_c_c,SV114: set_Sum_sum_c_c] :
( ( ~ ( ord_le1772180283um_c_c @ SV114 @ ( sup_su1349021703um_c_c @ SV230 @ SV306 ) )
| ~ ! [SY751: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SY751 @ SV230 )
| ! [SY752: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SY752 @ SV306 )
| ( SV114
!= ( sup_su1349021703um_c_c @ SY751 @ SY752 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[954]) ).
thf(1072,plain,
! [SV307: set_Sum_sum_c_c,SV231: set_Sum_sum_c_c,SV115: set_Sum_sum_c_c] :
( ( ! [SY753: set_Sum_sum_c_c] :
( ( SV115
!= ( sup_su1349021703um_c_c @ SV231 @ SV307 ) )
| ( ( sup_su1349021703um_c_c @ SY753 @ SV115 )
= ( sup_su1349021703um_c_c @ SV231 @ ( sup_su1349021703um_c_c @ SY753 @ SV307 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[955]) ).
thf(1073,plain,
! [SV116: produc640052711real_c] :
( ( ~ ~ ! [SY754: produc190496183real_c] :
( SV116
!= ( produc1687028567real_c @ ( sK6_SY578 @ SV116 ) @ SY754 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[956]) ).
thf(1074,plain,
! [SV308: set_Sum_sum_c_c,SV232: produc190496183real_c,SV117: produc190496183real_c] :
( ( ! [SY755: set_Sum_sum_c_c] :
( ~ ( denota1997846518gree_c @ SV117 @ SV232 @ SV308 )
| ~ ( denota1997846518gree_c @ SV117 @ SV232 @ SY755 )
| ( denota1997846518gree_c @ SV117 @ SV232 @ ( sup_su1349021703um_c_c @ SV308 @ SY755 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[957]) ).
thf(1075,plain,
! [SV309: finite1398487019real_c,SV233: finite1398487019real_c,SV118: finite1398487019real_c] :
( ( ! [SY756: finite1398487019real_c] :
( ( ( produc394644079real_c @ SV118 @ SV233 )
!= ( produc394644079real_c @ SV309 @ SY756 ) )
| ~ ( ( SV118 != SV309 )
| ( SV233 != SY756 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[958]) ).
thf(1076,plain,
! [SV310: produc190496183real_c,SV234: produc190496183real_c,SV119: produc640052711real_c] :
( ( ( SV119
!= ( produc1687028567real_c @ SV234 @ SV310 ) )
| ( ( produc876006723real_c @ SV119 )
= SV234 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[959]) ).
thf(1077,plain,
! [SV311: set_Pr754230471real_c,SV235: set_Pr754230471real_c,SV120: produc640052711real_c] :
( ( ~ ( member346808080real_c @ SV120 @ SV235 )
| ( member346808080real_c @ SV120 @ ( sup_su588839579real_c @ SV235 @ SV311 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[960]) ).
thf(1078,plain,
! [SV236: produc640052711real_c,SV121: produc190496183real_c] :
( ( ~ ( ( SV121
= ( produc415593093real_c @ SV236 ) )
| ~ ! [SY715: produc190496183real_c] :
( SV236
!= ( produc1687028567real_c @ SY715 @ SV121 ) ) )
| ~ ( ( SV121
!= ( produc415593093real_c @ SV236 ) )
| ~ ~ ! [SY715: produc190496183real_c] :
( SV236
!= ( produc1687028567real_c @ SY715 @ SV121 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[961]) ).
thf(1079,plain,
! [SV236: produc640052711real_c,SV121: produc190496183real_c] :
( ( ( SV121
= ( produc415593093real_c @ SV236 ) )
= ( ~ ! [SY715: produc190496183real_c] :
( SV236
!= ( produc1687028567real_c @ SY715 @ SV121 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[961]) ).
thf(1080,plain,
! [SV237: produc190496183real_c,SV122: finite1398487019real_c] :
( ( ~ ( ( SV122
= ( produc2010422875real_c @ SV237 ) )
| ~ ! [SY716: finite1398487019real_c] :
( SV237
!= ( produc394644079real_c @ SV122 @ SY716 ) ) )
| ~ ( ( SV122
!= ( produc2010422875real_c @ SV237 ) )
| ~ ~ ! [SY716: finite1398487019real_c] :
( SV237
!= ( produc394644079real_c @ SV122 @ SY716 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[962]) ).
thf(1081,plain,
! [SV237: produc190496183real_c,SV122: finite1398487019real_c] :
( ( ( SV122
= ( produc2010422875real_c @ SV237 ) )
= ( ~ ! [SY716: finite1398487019real_c] :
( SV237
!= ( produc394644079real_c @ SV122 @ SY716 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[962]) ).
thf(1082,plain,
! [SV312: produc190496183real_c,SV238: set_Sum_sum_c_c,SV123: set_Sum_sum_c_c] :
( ( ! [SY757: produc190496183real_c] :
( ~ ( ord_le1772180283um_c_c @ SV123 @ SV238 )
| ~ ( denota1997846518gree_c @ SV312 @ SY757 @ SV238 )
| ( denota1997846518gree_c @ SV312 @ SY757 @ SV123 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[963]) ).
thf(1083,plain,
! [SV313: finite1398487019real_c,SV239: finite1398487019real_c,SV124: finite1398487019real_c] :
( ( ! [SY758: finite1398487019real_c] :
( ( ( produc394644079real_c @ SV124 @ SV239 )
= ( produc394644079real_c @ SV313 @ SY758 ) )
= ( ~ ( ( SV124 != SV313 )
| ( SV239 != SY758 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[964]) ).
thf(1084,plain,
! [SV240: set_Pr754230471real_c,SV125: set_Pr754230471real_c,SV1: produc640052711real_c] :
( ( ~ ( ( member346808080real_c @ SV1 @ ( sup_su588839579real_c @ SV125 @ SV240 ) )
| ( member346808080real_c @ SV1 @ SV125 )
| ( member346808080real_c @ SV1 @ SV240 ) )
| ~ ( ~ ( member346808080real_c @ SV1 @ ( sup_su588839579real_c @ SV125 @ SV240 ) )
| ~ ( ( member346808080real_c @ SV1 @ SV125 )
| ( member346808080real_c @ SV1 @ SV240 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[965]) ).
thf(1085,plain,
! [SV240: set_Pr754230471real_c,SV125: set_Pr754230471real_c,SV1: produc640052711real_c] :
( ( ( member346808080real_c @ SV1 @ ( sup_su588839579real_c @ SV125 @ SV240 ) )
= ( ( member346808080real_c @ SV1 @ SV125 )
| ( member346808080real_c @ SV1 @ SV240 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[965]) ).
thf(1086,plain,
! [SV241: set_Sum_sum_c_c,SV126: set_Sum_sum_c_c,SV2: sum_sum_c_c] :
( ( ~ ( ( member_Sum_sum_c_c @ SV2 @ ( sup_su1349021703um_c_c @ SV126 @ SV241 ) )
| ( member_Sum_sum_c_c @ SV2 @ SV126 )
| ( member_Sum_sum_c_c @ SV2 @ SV241 ) )
| ~ ( ~ ( member_Sum_sum_c_c @ SV2 @ ( sup_su1349021703um_c_c @ SV126 @ SV241 ) )
| ~ ( ( member_Sum_sum_c_c @ SV2 @ SV126 )
| ( member_Sum_sum_c_c @ SV2 @ SV241 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[966]) ).
thf(1087,plain,
! [SV241: set_Sum_sum_c_c,SV126: set_Sum_sum_c_c,SV2: sum_sum_c_c] :
( ( ( member_Sum_sum_c_c @ SV2 @ ( sup_su1349021703um_c_c @ SV126 @ SV241 ) )
= ( ( member_Sum_sum_c_c @ SV2 @ SV126 )
| ( member_Sum_sum_c_c @ SV2 @ SV241 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[966]) ).
thf(1088,plain,
! [SV130: produc640052711real_c > $o,SV8: produc640052711real_c] :
( ( ( ~ ( ( member346808080real_c @ SV8 @ ( collec1126017874real_c @ SV130 ) )
| ( SV130 @ SV8 ) ) )
= $true )
| ( ( ~ ( ~ ( member346808080real_c @ SV8 @ ( collec1126017874real_c @ SV130 ) )
| ~ ( SV130 @ SV8 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[967]) ).
thf(1089,plain,
! [SV314: set_Sum_sum_c_c,SV131: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV131 @ SV314 )
= ( ( sup_su1349021703um_c_c @ SV131 @ SV314 )
= SV314 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[969]) ).
thf(1090,plain,
! [SV315: set_Sum_sum_c_c,SV132: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV132 @ SV315 )
= ( ( sup_su1349021703um_c_c @ SV315 @ SV132 )
= SV315 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[971]) ).
thf(1091,plain,
! [SV316: set_Sum_sum_c_c,SV135: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV135 @ SV316 )
= ( SV316
= ( sup_su1349021703um_c_c @ SV316 @ SV135 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[973]) ).
thf(1092,plain,
! [SV317: set_Sum_sum_c_c,SV136: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV136 @ SV317 )
= ( ( sup_su1349021703um_c_c @ SV136 @ SV317 )
= SV317 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[975]) ).
thf(1093,plain,
! [SV318: set_Sum_sum_c_c,SV141: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV141 @ SV318 )
= ( ( sup_su1349021703um_c_c @ SV141 @ SV318 )
= SV318 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[977]) ).
thf(1094,plain,
! [SV319: set_Sum_sum_c_c,SV146: set_Sum_sum_c_c] :
( ( ( sup_su1349021703um_c_c @ SV146 @ SV319 )
= ( sup_su1349021703um_c_c @ SV319 @ SV146 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[981]) ).
thf(1095,plain,
! [SV320: set_Sum_sum_c_c,SV147: set_Sum_sum_c_c] :
( ( ( sup_su1349021703um_c_c @ SV147 @ SV320 )
= ( sup_su1349021703um_c_c @ SV320 @ SV147 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[983]) ).
thf(1096,plain,
! [SV321: set_Sum_sum_c_c,SV150: set_Sum_sum_c_c] :
( ( ( sup_su1349021703um_c_c @ SV150 @ SV321 )
= ( sup_su1349021703um_c_c @ SV321 @ SV150 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[987]) ).
thf(1097,plain,
! [SV322: set_Sum_sum_c_c,SV156: set_Sum_sum_c_c] :
( ( ( sup_su1349021703um_c_c @ SV156 @ SV322 )
= ( sup_su1349021703um_c_c @ SV322 @ SV156 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[992]) ).
thf(1098,plain,
! [SV167: produc190496183real_c,SV47: finite1398487019real_c] :
( ( ( ~ ( ( SV47
= ( produc314122909real_c @ SV167 ) )
| ~ ! [SY620: finite1398487019real_c] :
( SV167
!= ( produc394644079real_c @ SY620 @ SV47 ) ) ) )
= $true )
| ( ( ~ ( ( SV47
!= ( produc314122909real_c @ SV167 ) )
| ~ ~ ! [SY620: finite1398487019real_c] :
( SV167
!= ( produc394644079real_c @ SY620 @ SV47 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[996]) ).
thf(1099,plain,
! [SV168: produc640052711real_c,SV48: produc190496183real_c] :
( ( ( ~ ( ( SV48
= ( produc876006723real_c @ SV168 ) )
| ~ ! [SY621: produc190496183real_c] :
( SV168
!= ( produc1687028567real_c @ SV48 @ SY621 ) ) ) )
= $true )
| ( ( ~ ( ( SV48
!= ( produc876006723real_c @ SV168 ) )
| ~ ~ ! [SY621: produc190496183real_c] :
( SV168
!= ( produc1687028567real_c @ SV48 @ SY621 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[998]) ).
thf(1100,plain,
! [SV169: produc190496183real_c,SV49: produc190496183real_c > $o] :
( ( ( ! [SY422: finite1398487019real_c,SY423: finite1398487019real_c] : ( SV49 @ ( produc394644079real_c @ SY422 @ SY423 ) ) )
= $false )
| ( ( SV49 @ SV169 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1000]) ).
thf(1101,plain,
! [SV170: set_Sum_sum_c_c,SV50: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV50 @ SV170 )
= $false )
| ( ( ( sup_su1349021703um_c_c @ SV50 @ SV170 )
= SV170 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1001]) ).
thf(1102,plain,
! [SV323: produc190496183real_c,SV260: produc190496183real_c,SV171: produc190496183real_c,SV51: produc190496183real_c] :
( ( ( ( produc1687028567real_c @ SV51 @ SV171 )
!= ( produc1687028567real_c @ SV260 @ SV323 ) )
| ~ ( ( SV51 != SV260 )
| ( SV171 != SV323 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1002]) ).
thf(1103,plain,
! [SV52: produc190496183real_c] :
( ( SV52
!= ( produc394644079real_c @ ( sK2_SY428 @ SV52 ) @ ( sK7_SY722 @ SV52 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1003]) ).
thf(1104,plain,
! [SV261: set_Sum_sum_c_c,SV172: produc190496183real_c,SV53: produc190496183real_c] :
( ( ( ~ ( denota1997846518gree_c @ SV53 @ SV172 @ SV261 ) )
= $true )
| ( ( denota1997846518gree_c @ SV172 @ SV53 @ SV261 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1004]) ).
thf(1105,plain,
! [SV262: finite1398487019real_c,SV173: finite1398487019real_c,SV54: produc190496183real_c] :
( ( ( SV54
!= ( produc394644079real_c @ SV173 @ SV262 ) )
= $true )
| ( ( ( produc2010422875real_c @ SV54 )
= SV173 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1005]) ).
thf(1106,plain,
! [SV324: hp_a_b_c,SV263: hp_a_b_c,SV174: hp_a_b_c,SV55: hp_a_b_c] :
( ( ( ( choice_a_b_c @ SV55 @ SV174 )
= ( choice_a_b_c @ SV263 @ SV324 ) )
= ( ~ ( ( SV55 != SV263 )
| ( SV174 != SV324 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1006]) ).
thf(1107,plain,
! [SV264: set_Sum_sum_c_c,SV175: set_Sum_sum_c_c,SV56: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV56 @ SV175 ) )
= $true )
| ( ( ~ ( ord_le1772180283um_c_c @ SV264 @ SV175 )
| ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV56 @ SV264 ) @ SV175 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1007]) ).
thf(1108,plain,
! [SV265: set_Sum_sum_c_c,SV176: set_Sum_sum_c_c,SV57: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV57 @ SV176 ) )
= $true )
| ( ( ord_le1772180283um_c_c @ SV57 @ ( sup_su1349021703um_c_c @ SV265 @ SV176 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1008]) ).
thf(1109,plain,
! [SV177: hp_a_b_c,SV58: hp_a_b_c] :
( ( ( ~ ( ( hpsafe_a_b_c @ ( choice_a_b_c @ SV58 @ SV177 ) )
| ~ ( ~ ( hpsafe_a_b_c @ SV58 )
| ~ ( hpsafe_a_b_c @ SV177 ) ) ) )
= $true )
| ( ( ~ ( ~ ( hpsafe_a_b_c @ ( choice_a_b_c @ SV58 @ SV177 ) )
| ~ ~ ( ~ ( hpsafe_a_b_c @ SV58 )
| ~ ( hpsafe_a_b_c @ SV177 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1009]) ).
thf(1110,plain,
! [SV325: set_Sum_sum_c_c,SV266: set_Sum_sum_c_c,SV178: set_Sum_sum_c_c,SV59: set_Sum_sum_c_c] :
( ( ~ ( ord_le1772180283um_c_c @ SV59 @ SV178 )
| ~ ( ord_le1772180283um_c_c @ SV266 @ SV325 )
| ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV59 @ SV266 ) @ ( sup_su1349021703um_c_c @ SV178 @ SV325 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1011]) ).
thf(1111,plain,
! [SV179: set_Sum_sum_c_c,SV60: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV60 @ SV179 )
= $false )
| ( ( SV179
= ( sup_su1349021703um_c_c @ SV179 @ SV60 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1012]) ).
thf(1112,plain,
! [SV180: set_Sum_sum_c_c,SV61: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV61 @ SV180 )
= $false )
| ( ( ( sup_su1349021703um_c_c @ SV180 @ SV61 )
= SV180 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1013]) ).
thf(1113,plain,
! [SV326: produc190496183real_c,SV267: produc190496183real_c,SV181: produc190496183real_c,SV62: produc190496183real_c] :
( ( ( ( produc1687028567real_c @ SV62 @ SV181 )
= ( produc1687028567real_c @ SV267 @ SV326 ) )
= ( ~ ( ( SV62 != SV267 )
| ( SV181 != SV326 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1014]) ).
thf(1114,plain,
! [SV182: set_Sum_sum_c_c,SV63: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV63 @ SV182 )
= $false )
| ( ( ( sup_su1349021703um_c_c @ SV63 @ SV182 )
= SV182 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1015]) ).
thf(1115,plain,
! [SV268: set_Sum_sum_c_c,SV183: set_Sum_sum_c_c,SV64: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV64 @ SV183 ) @ SV268 ) )
= $true )
| ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV64 @ SV268 )
| ~ ( ord_le1772180283um_c_c @ SV183 @ SV268 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1016]) ).
thf(1116,plain,
! [SV269: set_Sum_sum_c_c,SV184: set_Sum_sum_c_c,SV65: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV65 @ SV184 ) @ SV269 ) )
= $true )
| ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV65 @ SV269 )
| ~ ( ord_le1772180283um_c_c @ SV184 @ SV269 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1017]) ).
thf(1117,plain,
! [SV185: produc640052711real_c,SV66: produc640052711real_c > $o] :
( ( ( ! [SY456: produc190496183real_c,SY457: produc190496183real_c] : ( SV66 @ ( produc1687028567real_c @ SY456 @ SY457 ) ) )
= $false )
| ( ( SV66 @ SV185 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1018]) ).
thf(1118,plain,
! [SV270: produc640052711real_c,SV186: set_Pr754230471real_c,SV67: set_Pr754230471real_c] :
( ( ( ~ ( ord_le1988344935real_c @ SV67 @ SV186 ) )
= $true )
| ( ( ~ ( member346808080real_c @ SV270 @ SV67 )
| ( member346808080real_c @ SV270 @ SV186 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1019]) ).
thf(1119,plain,
! [SV327: set_Pr754230471real_c,SV187: set_Pr754230471real_c] :
( ( ( ord_le1988344935real_c @ SV187 @ SV327 )
= ( ! [SY759: produc640052711real_c] :
( ~ ( member346808080real_c @ SY759 @ SV187 )
| ( member346808080real_c @ SY759 @ SV327 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1020]) ).
thf(1120,plain,
! [SV188: set_Sum_sum_c_c,SV69: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV69 @ SV188 )
= $false )
| ( ( ( sup_su1349021703um_c_c @ SV188 @ SV69 )
= SV188 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1022]) ).
thf(1121,plain,
! [SV189: set_Pr754230471real_c,SV70: set_Pr754230471real_c] :
( ( ( ! [SY643: produc640052711real_c] :
( ~ ( member346808080real_c @ SY643 @ SV70 )
| ( member346808080real_c @ SY643 @ SV189 ) ) )
= $false )
| ( ( ord_le1988344935real_c @ SV70 @ SV189 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1023]) ).
thf(1122,plain,
! [SV328: finite1398487019real_c,SV272: finite1398487019real_c,SV190: finite1398487019real_c,SV71: finite1398487019real_c] :
( ( ( ( produc394644079real_c @ SV71 @ SV190 )
= ( produc394644079real_c @ SV272 @ SV328 ) )
= ( ~ ( ( SV71 != SV272 )
| ( SV190 != SV328 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1024]) ).
thf(1123,plain,
! [SV273: sum_sum_c_c > $o,SV191: set_Sum_sum_c_c,SV72: set_Sum_sum_c_c] :
( ( ~ ( ~ ! [SY728: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY728 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
| ~ ( SV273 @ SY728 ) )
| ~ ! [SY729: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY729 @ SV72 )
| ~ ( SV273 @ SY729 ) )
| ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) )
| ~ ( ~ ~ ! [SY728: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY728 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
| ~ ( SV273 @ SY728 ) )
| ~ ( ~ ! [SY729: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY729 @ SV72 )
| ~ ( SV273 @ SY729 ) )
| ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1025]) ).
thf(1124,plain,
! [SV273: sum_sum_c_c > $o,SV191: set_Sum_sum_c_c,SV72: set_Sum_sum_c_c] :
( ( ( ~ ! [SY728: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY728 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
| ~ ( SV273 @ SY728 ) ) )
= ( ~ ! [SY729: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY729 @ SV72 )
| ~ ( SV273 @ SY729 ) )
| ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1025]) ).
thf(1125,plain,
! [SV274: set_Sum_sum_c_c,SV192: set_Sum_sum_c_c,SV73: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ SV73 @ ( sup_su1349021703um_c_c @ SV192 @ SV274 ) ) )
= $true )
| ( ( ~ ~ ( member_Sum_sum_c_c @ SV73 @ SV192 )
| ( member_Sum_sum_c_c @ SV73 @ SV274 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1026]) ).
thf(1126,plain,
! [SV329: set_Sum_sum_c_c,SV275: set_Sum_sum_c_c,SV193: set_Sum_sum_c_c,SV74: set_Sum_sum_c_c] :
( ( ~ ( ord_le1772180283um_c_c @ SV74 @ SV193 )
| ~ ( ord_le1772180283um_c_c @ SV275 @ SV329 )
| ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV74 @ SV275 ) @ ( sup_su1349021703um_c_c @ SV193 @ SV329 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1027]) ).
thf(1127,plain,
! [SV194: produc640052711real_c,SV75: produc640052711real_c > $o] :
( ( ( ! [SY479: produc190496183real_c,SY480: produc190496183real_c] : ( SV75 @ ( produc1687028567real_c @ SY479 @ SY480 ) ) )
= $false )
| ( ( SV75 @ SV194 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1028]) ).
thf(1128,plain,
! [SV276: set_Sum_sum_c_c,SV195: set_Sum_sum_c_c,SV76: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV76 @ SV195 ) )
= $true )
| ( ( ~ ( ord_le1772180283um_c_c @ SV276 @ SV195 )
| ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV76 @ SV276 ) @ SV195 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1029]) ).
thf(1129,plain,
! [SV196: produc190496183real_c,SV77: produc190496183real_c > $o] :
( ( ( ! [SY484: finite1398487019real_c,SY485: finite1398487019real_c] : ( SV77 @ ( produc394644079real_c @ SY484 @ SY485 ) ) )
= $false )
| ( ( SV77 @ SV196 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1030]) ).
thf(1130,plain,
! [SV330: produc190496183real_c,SV277: produc190496183real_c,SV197: produc190496183real_c,SV78: produc190496183real_c] :
( ( ( ( produc1687028567real_c @ SV78 @ SV197 )
= ( produc1687028567real_c @ SV277 @ SV330 ) )
= ( ~ ( ( SV78 != SV277 )
| ( SV197 != SV330 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1031]) ).
thf(1131,plain,
! [SV278: produc190496183real_c,SV198: produc190496183real_c,SV79: produc640052711real_c] :
( ( ( SV79
!= ( produc1687028567real_c @ SV198 @ SV278 ) )
= $true )
| ( ( ( produc415593093real_c @ SV79 )
= SV278 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1032]) ).
thf(1132,plain,
! [SV331: set_Pr754230471real_c,SV199: set_Pr754230471real_c] :
( ( ( ord_le1988344935real_c @ SV199 @ SV331 )
= ( ! [SY760: produc640052711real_c] :
( ~ ( member346808080real_c @ SY760 @ SV199 )
| ( member346808080real_c @ SY760 @ SV331 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1033]) ).
thf(1133,plain,
! [SV280: set_Sum_sum_c_c,SV200: set_Sum_sum_c_c,SV81: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ SV81 @ SV200 ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV81 @ ( sup_su1349021703um_c_c @ SV200 @ SV280 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1035]) ).
thf(1134,plain,
! [SV281: set_Sum_sum_c_c,SV201: set_Sum_sum_c_c,SV82: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ SV82 @ SV201 ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV82 @ ( sup_su1349021703um_c_c @ SV281 @ SV201 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1036]) ).
thf(1135,plain,
! [SV202: produc640052711real_c,SV83: produc640052711real_c > $o] :
( ( ( ! [SY498: produc190496183real_c,SY499: finite1398487019real_c,SY500: finite1398487019real_c] : ( SV83 @ ( produc1687028567real_c @ SY498 @ ( produc394644079real_c @ SY499 @ SY500 ) ) ) )
= $false )
| ( ( SV83 @ SV202 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1037]) ).
thf(1136,plain,
! [SV332: set_Sum_sum_c_c,SV282: set_Sum_sum_c_c,SV203: set_Sum_sum_c_c,SV84: set_Sum_sum_c_c] :
( ( ~ ( ord_le1772180283um_c_c @ SV84 @ SV203 )
| ~ ( ord_le1772180283um_c_c @ SV282 @ SV332 )
| ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV84 @ SV282 ) @ ( sup_su1349021703um_c_c @ SV203 @ SV332 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1038]) ).
thf(1137,plain,
! [SV85: produc640052711real_c] :
( ( ! [SY761: finite1398487019real_c] :
( SV85
!= ( produc1687028567real_c @ ( sK3_SY504 @ SV85 ) @ ( produc394644079real_c @ ( sK8_SY735 @ SV85 ) @ SY761 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1039]) ).
thf(1138,plain,
! [SV86: produc640052711real_c] :
( ( SV86
!= ( produc1687028567real_c @ ( sK4_SY507 @ SV86 ) @ ( sK9_SY737 @ SV86 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1040]) ).
thf(1139,plain,
! [SV283: produc640052711real_c,SV204: set_Pr754230471real_c,SV87: set_Pr754230471real_c] :
( ( ( ~ ( ord_le1988344935real_c @ SV87 @ SV204 ) )
= $true )
| ( ( ~ ( member346808080real_c @ SV283 @ SV87 )
| ( member346808080real_c @ SV283 @ SV204 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1041]) ).
thf(1140,plain,
! [SV333: produc190496183real_c,SV284: produc190496183real_c,SV205: set_Sum_sum_c_c,SV88: set_Sum_sum_c_c] :
( ( ~ ( ord_le1772180283um_c_c @ SV88 @ SV205 )
| ~ ( denota1997846518gree_c @ SV284 @ SV333 @ SV205 )
| ( denota1997846518gree_c @ SV284 @ SV333 @ SV88 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1042]) ).
thf(1141,plain,
! [SV206: set_Sum_sum_c_c,SV89: set_Sum_sum_c_c] :
( ( ( SV89
= ( sup_su1349021703um_c_c @ SV89 @ SV206 ) )
= $false )
| ( ( ord_le1772180283um_c_c @ SV206 @ SV89 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1043]) ).
thf(1142,plain,
! [SV285: produc190496183real_c,SV207: produc190496183real_c,SV90: produc190496183real_c] :
( ( ( ( produc876006723real_c @ ( produc1687028567real_c @ SV90 @ SV207 ) )
!= SV285 )
= $true )
| ( ( SV90 = SV285 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1044]) ).
thf(1143,plain,
! [SV286: set_Pr754230471real_c,SV208: set_Pr754230471real_c,SV91: produc640052711real_c] :
( ( ( ~ ( member346808080real_c @ SV91 @ ( sup_su588839579real_c @ SV208 @ SV286 ) ) )
= $true )
| ( ( ~ ~ ( member346808080real_c @ SV91 @ SV208 )
| ( member346808080real_c @ SV91 @ SV286 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1045]) ).
thf(1144,plain,
( ( member346808080real_c @ ( produc1687028567real_c @ ( produc394644079real_c @ nu_22 @ nu_2 ) @ sK1_SX0 ) @ ( denota904684656_a_b_c @ j @ b ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1046]) ).
thf(1145,plain,
( ( denota1997846518gree_c @ ( produc394644079real_c @ mu3 @ mu2 ) @ sK1_SX0 @ ( sup_su1349021703um_c_c @ ( static_MBV_a_b_c @ b ) @ v ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1047]) ).
thf(1146,plain,
! [SV334: set_Sum_sum_c_c,SV287: set_Sum_sum_c_c,SV209: set_Sum_sum_c_c,SV92: set_Sum_sum_c_c] :
( ( ( SV92
!= ( sup_su1349021703um_c_c @ SV209 @ SV287 ) )
| ( ( sup_su1349021703um_c_c @ SV92 @ SV334 )
= ( sup_su1349021703um_c_c @ SV209 @ ( sup_su1349021703um_c_c @ SV287 @ SV334 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1048]) ).
thf(1147,plain,
! [SV288: finite1398487019real_c,SV210: finite1398487019real_c,SV93: produc190496183real_c] :
( ( ( SV93
!= ( produc394644079real_c @ SV210 @ SV288 ) )
= $true )
| ( ( ( produc314122909real_c @ SV93 )
= SV288 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1049]) ).
thf(1148,plain,
! [SV289: produc190496183real_c] :
( ( ~ ( ~ ( member346808080real_c @ ( produc1687028567real_c @ ( produc394644079real_c @ nu_22 @ nu_2 ) @ SV289 ) @ ( denota904684656_a_b_c @ j @ ( choice_a_b_c @ a @ b ) ) )
| ~ ( denota1997846518gree_c @ ( produc394644079real_c @ mu3 @ mu2 ) @ SV289 @ ( sup_su1349021703um_c_c @ ( static_MBV_a_b_c @ ( choice_a_b_c @ a @ b ) ) @ v ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1050]) ).
thf(1149,plain,
! [SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c,SV94: set_Sum_sum_c_c] :
( ( ~ ( ! [SY740: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY740 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
| ( SV290 @ SY740 ) )
| ~ ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) )
| ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) ) )
| ~ ( ~ ! [SY740: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY740 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
| ( SV290 @ SY740 ) )
| ~ ~ ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) )
| ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1051]) ).
thf(1150,plain,
! [SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c,SV94: set_Sum_sum_c_c] :
( ( ( ! [SY740: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY740 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
| ( SV290 @ SY740 ) ) )
= ( ~ ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) )
| ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1051]) ).
thf(1151,plain,
! [SV291: finite1398487019real_c,SV212: finite1398487019real_c,SV95: finite1398487019real_c] :
( ( ( ( produc314122909real_c @ ( produc394644079real_c @ SV95 @ SV212 ) )
!= SV291 )
= $true )
| ( ( SV212 = SV291 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1052]) ).
thf(1152,plain,
! [SV292: set_Sum_sum_c_c,SV213: set_Sum_sum_c_c,SV96: set_Sum_sum_c_c] :
( ( ~ ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV96 @ SV213 ) @ SV292 )
| ~ ( ~ ( ord_le1772180283um_c_c @ SV96 @ SV292 )
| ~ ( ord_le1772180283um_c_c @ SV213 @ SV292 ) ) )
| ~ ( ~ ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV96 @ SV213 ) @ SV292 )
| ~ ~ ( ~ ( ord_le1772180283um_c_c @ SV96 @ SV292 )
| ~ ( ord_le1772180283um_c_c @ SV213 @ SV292 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1053]) ).
thf(1153,plain,
! [SV292: set_Sum_sum_c_c,SV213: set_Sum_sum_c_c,SV96: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV96 @ SV213 ) @ SV292 )
= ( ~ ( ~ ( ord_le1772180283um_c_c @ SV96 @ SV292 )
| ~ ( ord_le1772180283um_c_c @ SV213 @ SV292 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1053]) ).
thf(1154,plain,
! [SV293: set_Sum_sum_c_c,SV214: set_Sum_sum_c_c,SV97: sum_sum_c_c] :
( ( ( ~ ( ~ ~ ( member_Sum_sum_c_c @ SV97 @ SV214 )
| ( member_Sum_sum_c_c @ SV97 @ SV293 ) ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV97 @ ( sup_su1349021703um_c_c @ SV293 @ SV214 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1054]) ).
thf(1155,plain,
! [SV294: set_Sum_sum_c_c,SV215: set_Sum_sum_c_c,SV98: set_Sum_sum_c_c] :
( ( ~ ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV98 @ SV215 ) @ SV294 )
| ~ ( ~ ( ord_le1772180283um_c_c @ SV98 @ SV294 )
| ~ ( ord_le1772180283um_c_c @ SV215 @ SV294 ) ) )
| ~ ( ~ ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV98 @ SV215 ) @ SV294 )
| ~ ~ ( ~ ( ord_le1772180283um_c_c @ SV98 @ SV294 )
| ~ ( ord_le1772180283um_c_c @ SV215 @ SV294 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1055]) ).
thf(1156,plain,
! [SV294: set_Sum_sum_c_c,SV215: set_Sum_sum_c_c,SV98: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV98 @ SV215 ) @ SV294 )
= ( ~ ( ~ ( ord_le1772180283um_c_c @ SV98 @ SV294 )
| ~ ( ord_le1772180283um_c_c @ SV215 @ SV294 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1055]) ).
thf(1157,plain,
! [SV295: produc190496183real_c,SV216: produc190496183real_c,SV99: produc190496183real_c] :
( ( ( ( produc415593093real_c @ ( produc1687028567real_c @ SV99 @ SV216 ) )
!= SV295 )
= $true )
| ( ( SV216 = SV295 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1056]) ).
thf(1158,plain,
! [SV217: set_Sum_sum_c_c,SV100: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV100 @ SV217 )
= $false )
| ( ( ( sup_su1349021703um_c_c @ SV100 @ SV217 )
= SV217 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1057]) ).
thf(1159,plain,
! [SV296: set_Pr754230471real_c,SV218: set_Pr754230471real_c,SV101: produc640052711real_c] :
( ( ( ~ ( ~ ~ ( member346808080real_c @ SV101 @ SV218 )
| ( member346808080real_c @ SV101 @ SV296 ) ) )
= $true )
| ( ( member346808080real_c @ SV101 @ ( sup_su588839579real_c @ SV296 @ SV218 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1058]) ).
thf(1160,plain,
! [SV297: set_Sum_sum_c_c,SV219: set_Sum_sum_c_c,SV102: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV102 @ SV219 ) )
= $true )
| ( ( ord_le1772180283um_c_c @ SV102 @ ( sup_su1349021703um_c_c @ SV219 @ SV297 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1059]) ).
thf(1161,plain,
! [SV298: set_Sum_sum_c_c,SV220: set_Sum_sum_c_c,SV103: set_Sum_sum_c_c] :
( ( ~ ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV103 @ SV220 ) @ SV298 )
| ~ ( ~ ( ord_le1772180283um_c_c @ SV103 @ SV298 )
| ~ ( ord_le1772180283um_c_c @ SV220 @ SV298 ) ) )
| ~ ( ~ ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV103 @ SV220 ) @ SV298 )
| ~ ~ ( ~ ( ord_le1772180283um_c_c @ SV103 @ SV298 )
| ~ ( ord_le1772180283um_c_c @ SV220 @ SV298 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1060]) ).
thf(1162,plain,
! [SV298: set_Sum_sum_c_c,SV220: set_Sum_sum_c_c,SV103: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV103 @ SV220 ) @ SV298 )
= ( ~ ( ~ ( ord_le1772180283um_c_c @ SV103 @ SV298 )
| ~ ( ord_le1772180283um_c_c @ SV220 @ SV298 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1060]) ).
thf(1163,plain,
! [SV221: hp_a_b_c,SV104: hp_a_b_c] :
( ( ( hpsafe_a_b_c @ SV104 )
= $false )
| ( ( ~ ( hpsafe_a_b_c @ SV221 )
| ( hpsafe_a_b_c @ ( choice_a_b_c @ SV104 @ SV221 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1061]) ).
thf(1164,plain,
! [SV299: set_Sum_sum_c_c,SV222: set_Sum_sum_c_c,SV105: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV105 @ SV222 ) )
= $true )
| ( ( ord_le1772180283um_c_c @ SV105 @ ( sup_su1349021703um_c_c @ SV299 @ SV222 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1062]) ).
thf(1165,plain,
! [SV106: produc190496183real_c] :
( ( ~ ! [SY743: finite1398487019real_c] :
( SV106
!= ( produc394644079real_c @ ( sK5_SY549 @ SV106 ) @ SY743 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1063]) ).
thf(1166,plain,
! [SV300: set_Sum_sum_c_c,SV223: set_Sum_sum_c_c,SV107: set_Sum_sum_c_c > set_Sum_sum_c_c > set_Sum_sum_c_c] :
( ( ( ~ ! [SY553: set_Sum_sum_c_c,SY554: set_Sum_sum_c_c] : ( ord_le1772180283um_c_c @ SY553 @ ( SV107 @ SY553 @ SY554 ) ) )
= $true )
| ( ( ~ ! [SY555: set_Sum_sum_c_c,SY556: set_Sum_sum_c_c] : ( ord_le1772180283um_c_c @ SY556 @ ( SV107 @ SY555 @ SY556 ) )
| ~ ! [SY557: set_Sum_sum_c_c,SY558: set_Sum_sum_c_c,SY559: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SY558 @ SY557 )
| ~ ( ord_le1772180283um_c_c @ SY559 @ SY557 )
| ( ord_le1772180283um_c_c @ ( SV107 @ SY558 @ SY559 ) @ SY557 ) )
| ( ( sup_su1349021703um_c_c @ SV223 @ SV300 )
= ( SV107 @ SV223 @ SV300 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1064]) ).
thf(1167,plain,
! [SV301: set_Sum_sum_c_c,SV224: set_Sum_sum_c_c,SV108: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV108 @ SV224 ) )
= $true )
| ( ( ~ ( ord_le1772180283um_c_c @ SV301 @ SV224 )
| ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV108 @ SV301 ) @ SV224 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1065]) ).
thf(1168,plain,
! [SV302: finite1398487019real_c,SV225: finite1398487019real_c,SV109: finite1398487019real_c] :
( ( ( ( produc2010422875real_c @ ( produc394644079real_c @ SV109 @ SV225 ) )
!= SV302 )
= $true )
| ( ( SV109 = SV302 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1066]) ).
thf(1169,plain,
! [SV303: set_Sum_sum_c_c,SV226: set_Sum_sum_c_c,SV110: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV110 @ SV226 ) )
= $true )
| ( ( ord_le1772180283um_c_c @ SV110 @ ( sup_su1349021703um_c_c @ SV226 @ SV303 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1067]) ).
thf(1170,plain,
! [SV304: set_Sum_sum_c_c,SV227: set_Sum_sum_c_c,SV111: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV111 @ SV227 ) )
= $true )
| ( ( ~ ( ord_le1772180283um_c_c @ SV304 @ SV227 )
| ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV111 @ SV304 ) @ SV227 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1068]) ).
thf(1171,plain,
! [SV228: set_Sum_sum_c_c,SV112: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV112 @ SV228 )
= $false )
| ( ( ( sup_su1349021703um_c_c @ SV228 @ SV112 )
= SV228 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1069]) ).
thf(1172,plain,
! [SV305: set_Pr754230471real_c,SV229: set_Pr754230471real_c,SV113: produc640052711real_c] :
( ( ( ~ ( member346808080real_c @ SV113 @ SV229 ) )
= $true )
| ( ( member346808080real_c @ SV113 @ ( sup_su588839579real_c @ SV305 @ SV229 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1070]) ).
thf(1173,plain,
! [SV306: set_Sum_sum_c_c,SV230: set_Sum_sum_c_c,SV114: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV114 @ ( sup_su1349021703um_c_c @ SV230 @ SV306 ) ) )
= $true )
| ( ( ~ ! [SY751: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SY751 @ SV230 )
| ! [SY752: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SY752 @ SV306 )
| ( SV114
!= ( sup_su1349021703um_c_c @ SY751 @ SY752 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1071]) ).
thf(1174,plain,
! [SV335: set_Sum_sum_c_c,SV307: set_Sum_sum_c_c,SV231: set_Sum_sum_c_c,SV115: set_Sum_sum_c_c] :
( ( ( SV115
!= ( sup_su1349021703um_c_c @ SV231 @ SV307 ) )
| ( ( sup_su1349021703um_c_c @ SV335 @ SV115 )
= ( sup_su1349021703um_c_c @ SV231 @ ( sup_su1349021703um_c_c @ SV335 @ SV307 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1072]) ).
thf(1175,plain,
! [SV116: produc640052711real_c] :
( ( ~ ! [SY754: produc190496183real_c] :
( SV116
!= ( produc1687028567real_c @ ( sK6_SY578 @ SV116 ) @ SY754 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1073]) ).
thf(1176,plain,
! [SV336: set_Sum_sum_c_c,SV308: set_Sum_sum_c_c,SV232: produc190496183real_c,SV117: produc190496183real_c] :
( ( ~ ( denota1997846518gree_c @ SV117 @ SV232 @ SV308 )
| ~ ( denota1997846518gree_c @ SV117 @ SV232 @ SV336 )
| ( denota1997846518gree_c @ SV117 @ SV232 @ ( sup_su1349021703um_c_c @ SV308 @ SV336 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1074]) ).
thf(1177,plain,
! [SV337: finite1398487019real_c,SV309: finite1398487019real_c,SV233: finite1398487019real_c,SV118: finite1398487019real_c] :
( ( ( ( produc394644079real_c @ SV118 @ SV233 )
!= ( produc394644079real_c @ SV309 @ SV337 ) )
| ~ ( ( SV118 != SV309 )
| ( SV233 != SV337 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1075]) ).
thf(1178,plain,
! [SV310: produc190496183real_c,SV234: produc190496183real_c,SV119: produc640052711real_c] :
( ( ( SV119
!= ( produc1687028567real_c @ SV234 @ SV310 ) )
= $true )
| ( ( ( produc876006723real_c @ SV119 )
= SV234 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1076]) ).
thf(1179,plain,
! [SV311: set_Pr754230471real_c,SV235: set_Pr754230471real_c,SV120: produc640052711real_c] :
( ( ( ~ ( member346808080real_c @ SV120 @ SV235 ) )
= $true )
| ( ( member346808080real_c @ SV120 @ ( sup_su588839579real_c @ SV235 @ SV311 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1077]) ).
thf(1180,plain,
! [SV236: produc640052711real_c,SV121: produc190496183real_c] :
( ( ( ~ ( ( SV121
= ( produc415593093real_c @ SV236 ) )
| ~ ! [SY715: produc190496183real_c] :
( SV236
!= ( produc1687028567real_c @ SY715 @ SV121 ) ) ) )
= $true )
| ( ( ~ ( ( SV121
!= ( produc415593093real_c @ SV236 ) )
| ~ ~ ! [SY715: produc190496183real_c] :
( SV236
!= ( produc1687028567real_c @ SY715 @ SV121 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1078]) ).
thf(1181,plain,
! [SV237: produc190496183real_c,SV122: finite1398487019real_c] :
( ( ( ~ ( ( SV122
= ( produc2010422875real_c @ SV237 ) )
| ~ ! [SY716: finite1398487019real_c] :
( SV237
!= ( produc394644079real_c @ SV122 @ SY716 ) ) ) )
= $true )
| ( ( ~ ( ( SV122
!= ( produc2010422875real_c @ SV237 ) )
| ~ ~ ! [SY716: finite1398487019real_c] :
( SV237
!= ( produc394644079real_c @ SV122 @ SY716 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1080]) ).
thf(1182,plain,
! [SV338: produc190496183real_c,SV312: produc190496183real_c,SV238: set_Sum_sum_c_c,SV123: set_Sum_sum_c_c] :
( ( ~ ( ord_le1772180283um_c_c @ SV123 @ SV238 )
| ~ ( denota1997846518gree_c @ SV312 @ SV338 @ SV238 )
| ( denota1997846518gree_c @ SV312 @ SV338 @ SV123 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1082]) ).
thf(1183,plain,
! [SV339: finite1398487019real_c,SV313: finite1398487019real_c,SV239: finite1398487019real_c,SV124: finite1398487019real_c] :
( ( ( ( produc394644079real_c @ SV124 @ SV239 )
= ( produc394644079real_c @ SV313 @ SV339 ) )
= ( ~ ( ( SV124 != SV313 )
| ( SV239 != SV339 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1083]) ).
thf(1184,plain,
! [SV240: set_Pr754230471real_c,SV125: set_Pr754230471real_c,SV1: produc640052711real_c] :
( ( ( ~ ( ( member346808080real_c @ SV1 @ ( sup_su588839579real_c @ SV125 @ SV240 ) )
| ( member346808080real_c @ SV1 @ SV125 )
| ( member346808080real_c @ SV1 @ SV240 ) ) )
= $true )
| ( ( ~ ( ~ ( member346808080real_c @ SV1 @ ( sup_su588839579real_c @ SV125 @ SV240 ) )
| ~ ( ( member346808080real_c @ SV1 @ SV125 )
| ( member346808080real_c @ SV1 @ SV240 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1084]) ).
thf(1185,plain,
! [SV241: set_Sum_sum_c_c,SV126: set_Sum_sum_c_c,SV2: sum_sum_c_c] :
( ( ( ~ ( ( member_Sum_sum_c_c @ SV2 @ ( sup_su1349021703um_c_c @ SV126 @ SV241 ) )
| ( member_Sum_sum_c_c @ SV2 @ SV126 )
| ( member_Sum_sum_c_c @ SV2 @ SV241 ) ) )
= $true )
| ( ( ~ ( ~ ( member_Sum_sum_c_c @ SV2 @ ( sup_su1349021703um_c_c @ SV126 @ SV241 ) )
| ~ ( ( member_Sum_sum_c_c @ SV2 @ SV126 )
| ( member_Sum_sum_c_c @ SV2 @ SV241 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1086]) ).
thf(1186,plain,
! [SV130: produc640052711real_c > $o,SV8: produc640052711real_c] :
( ( ( ( member346808080real_c @ SV8 @ ( collec1126017874real_c @ SV130 ) )
| ( SV130 @ SV8 ) )
= $false )
| ( ( ~ ( ~ ( member346808080real_c @ SV8 @ ( collec1126017874real_c @ SV130 ) )
| ~ ( SV130 @ SV8 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1088]) ).
thf(1187,plain,
! [SV314: set_Sum_sum_c_c,SV131: set_Sum_sum_c_c] :
( ( ~ ( ( ord_le1772180283um_c_c @ SV131 @ SV314 )
| ( ( sup_su1349021703um_c_c @ SV131 @ SV314 )
= SV314 ) )
| ~ ( ~ ( ord_le1772180283um_c_c @ SV131 @ SV314 )
| ( ( sup_su1349021703um_c_c @ SV131 @ SV314 )
!= SV314 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1089]) ).
thf(1188,plain,
! [SV314: set_Sum_sum_c_c,SV131: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV131 @ SV314 )
= ( ( sup_su1349021703um_c_c @ SV131 @ SV314 )
= SV314 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1089]) ).
thf(1189,plain,
! [SV315: set_Sum_sum_c_c,SV132: set_Sum_sum_c_c] :
( ( ~ ( ( ord_le1772180283um_c_c @ SV132 @ SV315 )
| ( ( sup_su1349021703um_c_c @ SV315 @ SV132 )
= SV315 ) )
| ~ ( ~ ( ord_le1772180283um_c_c @ SV132 @ SV315 )
| ( ( sup_su1349021703um_c_c @ SV315 @ SV132 )
!= SV315 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1090]) ).
thf(1190,plain,
! [SV315: set_Sum_sum_c_c,SV132: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV132 @ SV315 )
= ( ( sup_su1349021703um_c_c @ SV315 @ SV132 )
= SV315 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1090]) ).
thf(1191,plain,
! [SV316: set_Sum_sum_c_c,SV135: set_Sum_sum_c_c] :
( ( ~ ( ( ord_le1772180283um_c_c @ SV135 @ SV316 )
| ( SV316
= ( sup_su1349021703um_c_c @ SV316 @ SV135 ) ) )
| ~ ( ~ ( ord_le1772180283um_c_c @ SV135 @ SV316 )
| ( SV316
!= ( sup_su1349021703um_c_c @ SV316 @ SV135 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1091]) ).
thf(1192,plain,
! [SV316: set_Sum_sum_c_c,SV135: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV135 @ SV316 )
= ( SV316
= ( sup_su1349021703um_c_c @ SV316 @ SV135 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1091]) ).
thf(1193,plain,
! [SV317: set_Sum_sum_c_c,SV136: set_Sum_sum_c_c] :
( ( ~ ( ( ord_le1772180283um_c_c @ SV136 @ SV317 )
| ( ( sup_su1349021703um_c_c @ SV136 @ SV317 )
= SV317 ) )
| ~ ( ~ ( ord_le1772180283um_c_c @ SV136 @ SV317 )
| ( ( sup_su1349021703um_c_c @ SV136 @ SV317 )
!= SV317 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1092]) ).
thf(1194,plain,
! [SV317: set_Sum_sum_c_c,SV136: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV136 @ SV317 )
= ( ( sup_su1349021703um_c_c @ SV136 @ SV317 )
= SV317 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1092]) ).
thf(1195,plain,
! [SV318: set_Sum_sum_c_c,SV141: set_Sum_sum_c_c] :
( ( ~ ( ( ord_le1772180283um_c_c @ SV141 @ SV318 )
| ( ( sup_su1349021703um_c_c @ SV141 @ SV318 )
= SV318 ) )
| ~ ( ~ ( ord_le1772180283um_c_c @ SV141 @ SV318 )
| ( ( sup_su1349021703um_c_c @ SV141 @ SV318 )
!= SV318 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1093]) ).
thf(1196,plain,
! [SV318: set_Sum_sum_c_c,SV141: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV141 @ SV318 )
= ( ( sup_su1349021703um_c_c @ SV141 @ SV318 )
= SV318 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1093]) ).
thf(1197,plain,
! [SV167: produc190496183real_c,SV47: finite1398487019real_c] :
( ( ( ( SV47
= ( produc314122909real_c @ SV167 ) )
| ~ ! [SY620: finite1398487019real_c] :
( SV167
!= ( produc394644079real_c @ SY620 @ SV47 ) ) )
= $false )
| ( ( ~ ( ( SV47
!= ( produc314122909real_c @ SV167 ) )
| ~ ~ ! [SY620: finite1398487019real_c] :
( SV167
!= ( produc394644079real_c @ SY620 @ SV47 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1098]) ).
thf(1198,plain,
! [SV168: produc640052711real_c,SV48: produc190496183real_c] :
( ( ( ( SV48
= ( produc876006723real_c @ SV168 ) )
| ~ ! [SY621: produc190496183real_c] :
( SV168
!= ( produc1687028567real_c @ SV48 @ SY621 ) ) )
= $false )
| ( ( ~ ( ( SV48
!= ( produc876006723real_c @ SV168 ) )
| ~ ~ ! [SY621: produc190496183real_c] :
( SV168
!= ( produc1687028567real_c @ SV48 @ SY621 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1099]) ).
thf(1199,plain,
! [SV169: produc190496183real_c,SV49: produc190496183real_c > $o] :
( ( ( ! [SY762: finite1398487019real_c] : ( SV49 @ ( produc394644079real_c @ ( sK10_SY422 @ SV169 @ SV49 ) @ SY762 ) ) )
= $false )
| ( ( SV49 @ SV169 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1100]) ).
thf(1200,plain,
! [SV323: produc190496183real_c,SV260: produc190496183real_c,SV171: produc190496183real_c,SV51: produc190496183real_c] :
( ( ( ( produc1687028567real_c @ SV51 @ SV171 )
!= ( produc1687028567real_c @ SV260 @ SV323 ) )
= $true )
| ( ( ~ ( ( SV51 != SV260 )
| ( SV171 != SV323 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1102]) ).
thf(1201,plain,
! [SV52: produc190496183real_c] :
( ( SV52
= ( produc394644079real_c @ ( sK2_SY428 @ SV52 ) @ ( sK7_SY722 @ SV52 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1103]) ).
thf(1202,plain,
! [SV261: set_Sum_sum_c_c,SV172: produc190496183real_c,SV53: produc190496183real_c] :
( ( ( denota1997846518gree_c @ SV53 @ SV172 @ SV261 )
= $false )
| ( ( denota1997846518gree_c @ SV172 @ SV53 @ SV261 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1104]) ).
thf(1203,plain,
! [SV262: finite1398487019real_c,SV173: finite1398487019real_c,SV54: produc190496183real_c] :
( ( ( SV54
= ( produc394644079real_c @ SV173 @ SV262 ) )
= $false )
| ( ( ( produc2010422875real_c @ SV54 )
= SV173 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1105]) ).
thf(1204,plain,
! [SV324: hp_a_b_c,SV263: hp_a_b_c,SV174: hp_a_b_c,SV55: hp_a_b_c] :
( ( ~ ( ( ( choice_a_b_c @ SV55 @ SV174 )
= ( choice_a_b_c @ SV263 @ SV324 ) )
| ~ ( ( SV55 != SV263 )
| ( SV174 != SV324 ) ) )
| ~ ( ( ( choice_a_b_c @ SV55 @ SV174 )
!= ( choice_a_b_c @ SV263 @ SV324 ) )
| ~ ~ ( ( SV55 != SV263 )
| ( SV174 != SV324 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1106]) ).
thf(1205,plain,
! [SV324: hp_a_b_c,SV263: hp_a_b_c,SV174: hp_a_b_c,SV55: hp_a_b_c] :
( ( ( ( choice_a_b_c @ SV55 @ SV174 )
= ( choice_a_b_c @ SV263 @ SV324 ) )
= ( ~ ( ( SV55 != SV263 )
| ( SV174 != SV324 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1106]) ).
thf(1206,plain,
! [SV264: set_Sum_sum_c_c,SV175: set_Sum_sum_c_c,SV56: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV56 @ SV175 )
= $false )
| ( ( ~ ( ord_le1772180283um_c_c @ SV264 @ SV175 )
| ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV56 @ SV264 ) @ SV175 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1107]) ).
thf(1207,plain,
! [SV265: set_Sum_sum_c_c,SV176: set_Sum_sum_c_c,SV57: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV57 @ SV176 )
= $false )
| ( ( ord_le1772180283um_c_c @ SV57 @ ( sup_su1349021703um_c_c @ SV265 @ SV176 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1108]) ).
thf(1208,plain,
! [SV177: hp_a_b_c,SV58: hp_a_b_c] :
( ( ( ( hpsafe_a_b_c @ ( choice_a_b_c @ SV58 @ SV177 ) )
| ~ ( ~ ( hpsafe_a_b_c @ SV58 )
| ~ ( hpsafe_a_b_c @ SV177 ) ) )
= $false )
| ( ( ~ ( ~ ( hpsafe_a_b_c @ ( choice_a_b_c @ SV58 @ SV177 ) )
| ~ ~ ( ~ ( hpsafe_a_b_c @ SV58 )
| ~ ( hpsafe_a_b_c @ SV177 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1109]) ).
thf(1209,plain,
! [SV325: set_Sum_sum_c_c,SV266: set_Sum_sum_c_c,SV178: set_Sum_sum_c_c,SV59: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV59 @ SV178 ) )
= $true )
| ( ( ~ ( ord_le1772180283um_c_c @ SV266 @ SV325 )
| ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV59 @ SV266 ) @ ( sup_su1349021703um_c_c @ SV178 @ SV325 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1110]) ).
thf(1210,plain,
! [SV326: produc190496183real_c,SV267: produc190496183real_c,SV181: produc190496183real_c,SV62: produc190496183real_c] :
( ( ~ ( ( ( produc1687028567real_c @ SV62 @ SV181 )
= ( produc1687028567real_c @ SV267 @ SV326 ) )
| ~ ( ( SV62 != SV267 )
| ( SV181 != SV326 ) ) )
| ~ ( ( ( produc1687028567real_c @ SV62 @ SV181 )
!= ( produc1687028567real_c @ SV267 @ SV326 ) )
| ~ ~ ( ( SV62 != SV267 )
| ( SV181 != SV326 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1113]) ).
thf(1211,plain,
! [SV326: produc190496183real_c,SV267: produc190496183real_c,SV181: produc190496183real_c,SV62: produc190496183real_c] :
( ( ( ( produc1687028567real_c @ SV62 @ SV181 )
= ( produc1687028567real_c @ SV267 @ SV326 ) )
= ( ~ ( ( SV62 != SV267 )
| ( SV181 != SV326 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1113]) ).
thf(1212,plain,
! [SV268: set_Sum_sum_c_c,SV183: set_Sum_sum_c_c,SV64: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV64 @ SV183 ) @ SV268 )
= $false )
| ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV64 @ SV268 )
| ~ ( ord_le1772180283um_c_c @ SV183 @ SV268 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1115]) ).
thf(1213,plain,
! [SV269: set_Sum_sum_c_c,SV184: set_Sum_sum_c_c,SV65: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV65 @ SV184 ) @ SV269 )
= $false )
| ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV65 @ SV269 )
| ~ ( ord_le1772180283um_c_c @ SV184 @ SV269 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1116]) ).
thf(1214,plain,
! [SV185: produc640052711real_c,SV66: produc640052711real_c > $o] :
( ( ( ! [SY763: produc190496183real_c] : ( SV66 @ ( produc1687028567real_c @ ( sK11_SY456 @ SV185 @ SV66 ) @ SY763 ) ) )
= $false )
| ( ( SV66 @ SV185 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1117]) ).
thf(1215,plain,
! [SV270: produc640052711real_c,SV186: set_Pr754230471real_c,SV67: set_Pr754230471real_c] :
( ( ( ord_le1988344935real_c @ SV67 @ SV186 )
= $false )
| ( ( ~ ( member346808080real_c @ SV270 @ SV67 )
| ( member346808080real_c @ SV270 @ SV186 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1118]) ).
thf(1216,plain,
! [SV327: set_Pr754230471real_c,SV187: set_Pr754230471real_c] :
( ( ~ ( ( ord_le1988344935real_c @ SV187 @ SV327 )
| ! [SY759: produc640052711real_c] :
( ~ ( member346808080real_c @ SY759 @ SV187 )
| ( member346808080real_c @ SY759 @ SV327 ) ) )
| ~ ( ~ ( ord_le1988344935real_c @ SV187 @ SV327 )
| ~ ! [SY759: produc640052711real_c] :
( ~ ( member346808080real_c @ SY759 @ SV187 )
| ( member346808080real_c @ SY759 @ SV327 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1119]) ).
thf(1217,plain,
! [SV327: set_Pr754230471real_c,SV187: set_Pr754230471real_c] :
( ( ( ord_le1988344935real_c @ SV187 @ SV327 )
= ( ! [SY759: produc640052711real_c] :
( ~ ( member346808080real_c @ SY759 @ SV187 )
| ( member346808080real_c @ SY759 @ SV327 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1119]) ).
thf(1218,plain,
! [SV70: set_Pr754230471real_c,SV189: set_Pr754230471real_c] :
( ( ( ~ ( member346808080real_c @ ( sK12_SY643 @ SV189 @ SV70 ) @ SV70 )
| ( member346808080real_c @ ( sK12_SY643 @ SV189 @ SV70 ) @ SV189 ) )
= $false )
| ( ( ord_le1988344935real_c @ SV70 @ SV189 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1121]) ).
thf(1219,plain,
! [SV328: finite1398487019real_c,SV272: finite1398487019real_c,SV190: finite1398487019real_c,SV71: finite1398487019real_c] :
( ( ~ ( ( ( produc394644079real_c @ SV71 @ SV190 )
= ( produc394644079real_c @ SV272 @ SV328 ) )
| ~ ( ( SV71 != SV272 )
| ( SV190 != SV328 ) ) )
| ~ ( ( ( produc394644079real_c @ SV71 @ SV190 )
!= ( produc394644079real_c @ SV272 @ SV328 ) )
| ~ ~ ( ( SV71 != SV272 )
| ( SV190 != SV328 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1122]) ).
thf(1220,plain,
! [SV328: finite1398487019real_c,SV272: finite1398487019real_c,SV190: finite1398487019real_c,SV71: finite1398487019real_c] :
( ( ( ( produc394644079real_c @ SV71 @ SV190 )
= ( produc394644079real_c @ SV272 @ SV328 ) )
= ( ~ ( ( SV71 != SV272 )
| ( SV190 != SV328 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1122]) ).
thf(1221,plain,
! [SV273: sum_sum_c_c > $o,SV191: set_Sum_sum_c_c,SV72: set_Sum_sum_c_c] :
( ( ( ~ ( ~ ! [SY728: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY728 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
| ~ ( SV273 @ SY728 ) )
| ~ ! [SY729: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY729 @ SV72 )
| ~ ( SV273 @ SY729 ) )
| ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY728: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY728 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
| ~ ( SV273 @ SY728 ) )
| ~ ( ~ ! [SY729: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY729 @ SV72 )
| ~ ( SV273 @ SY729 ) )
| ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1123]) ).
thf(1222,plain,
! [SV274: set_Sum_sum_c_c,SV192: set_Sum_sum_c_c,SV73: sum_sum_c_c] :
( ( ( member_Sum_sum_c_c @ SV73 @ ( sup_su1349021703um_c_c @ SV192 @ SV274 ) )
= $false )
| ( ( ~ ~ ( member_Sum_sum_c_c @ SV73 @ SV192 )
| ( member_Sum_sum_c_c @ SV73 @ SV274 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1125]) ).
thf(1223,plain,
! [SV329: set_Sum_sum_c_c,SV275: set_Sum_sum_c_c,SV193: set_Sum_sum_c_c,SV74: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV74 @ SV193 ) )
= $true )
| ( ( ~ ( ord_le1772180283um_c_c @ SV275 @ SV329 )
| ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV74 @ SV275 ) @ ( sup_su1349021703um_c_c @ SV193 @ SV329 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1126]) ).
thf(1224,plain,
! [SV194: produc640052711real_c,SV75: produc640052711real_c > $o] :
( ( ( ! [SY764: produc190496183real_c] : ( SV75 @ ( produc1687028567real_c @ ( sK13_SY479 @ SV194 @ SV75 ) @ SY764 ) ) )
= $false )
| ( ( SV75 @ SV194 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1127]) ).
thf(1225,plain,
! [SV276: set_Sum_sum_c_c,SV195: set_Sum_sum_c_c,SV76: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV76 @ SV195 )
= $false )
| ( ( ~ ( ord_le1772180283um_c_c @ SV276 @ SV195 )
| ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV76 @ SV276 ) @ SV195 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1128]) ).
thf(1226,plain,
! [SV196: produc190496183real_c,SV77: produc190496183real_c > $o] :
( ( ( ! [SY765: finite1398487019real_c] : ( SV77 @ ( produc394644079real_c @ ( sK14_SY484 @ SV196 @ SV77 ) @ SY765 ) ) )
= $false )
| ( ( SV77 @ SV196 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1129]) ).
thf(1227,plain,
! [SV330: produc190496183real_c,SV277: produc190496183real_c,SV197: produc190496183real_c,SV78: produc190496183real_c] :
( ( ~ ( ( ( produc1687028567real_c @ SV78 @ SV197 )
= ( produc1687028567real_c @ SV277 @ SV330 ) )
| ~ ( ( SV78 != SV277 )
| ( SV197 != SV330 ) ) )
| ~ ( ( ( produc1687028567real_c @ SV78 @ SV197 )
!= ( produc1687028567real_c @ SV277 @ SV330 ) )
| ~ ~ ( ( SV78 != SV277 )
| ( SV197 != SV330 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1130]) ).
thf(1228,plain,
! [SV330: produc190496183real_c,SV277: produc190496183real_c,SV197: produc190496183real_c,SV78: produc190496183real_c] :
( ( ( ( produc1687028567real_c @ SV78 @ SV197 )
= ( produc1687028567real_c @ SV277 @ SV330 ) )
= ( ~ ( ( SV78 != SV277 )
| ( SV197 != SV330 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1130]) ).
thf(1229,plain,
! [SV278: produc190496183real_c,SV198: produc190496183real_c,SV79: produc640052711real_c] :
( ( ( SV79
= ( produc1687028567real_c @ SV198 @ SV278 ) )
= $false )
| ( ( ( produc415593093real_c @ SV79 )
= SV278 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1131]) ).
thf(1230,plain,
! [SV331: set_Pr754230471real_c,SV199: set_Pr754230471real_c] :
( ( ~ ( ( ord_le1988344935real_c @ SV199 @ SV331 )
| ! [SY760: produc640052711real_c] :
( ~ ( member346808080real_c @ SY760 @ SV199 )
| ( member346808080real_c @ SY760 @ SV331 ) ) )
| ~ ( ~ ( ord_le1988344935real_c @ SV199 @ SV331 )
| ~ ! [SY760: produc640052711real_c] :
( ~ ( member346808080real_c @ SY760 @ SV199 )
| ( member346808080real_c @ SY760 @ SV331 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1132]) ).
thf(1231,plain,
! [SV331: set_Pr754230471real_c,SV199: set_Pr754230471real_c] :
( ( ( ord_le1988344935real_c @ SV199 @ SV331 )
= ( ! [SY760: produc640052711real_c] :
( ~ ( member346808080real_c @ SY760 @ SV199 )
| ( member346808080real_c @ SY760 @ SV331 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1132]) ).
thf(1232,plain,
! [SV280: set_Sum_sum_c_c,SV200: set_Sum_sum_c_c,SV81: sum_sum_c_c] :
( ( ( member_Sum_sum_c_c @ SV81 @ SV200 )
= $false )
| ( ( member_Sum_sum_c_c @ SV81 @ ( sup_su1349021703um_c_c @ SV200 @ SV280 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1133]) ).
thf(1233,plain,
! [SV281: set_Sum_sum_c_c,SV201: set_Sum_sum_c_c,SV82: sum_sum_c_c] :
( ( ( member_Sum_sum_c_c @ SV82 @ SV201 )
= $false )
| ( ( member_Sum_sum_c_c @ SV82 @ ( sup_su1349021703um_c_c @ SV281 @ SV201 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1134]) ).
thf(1234,plain,
! [SV202: produc640052711real_c,SV83: produc640052711real_c > $o] :
( ( ( ! [SY766: finite1398487019real_c,SY767: finite1398487019real_c] : ( SV83 @ ( produc1687028567real_c @ ( sK15_SY498 @ SV202 @ SV83 ) @ ( produc394644079real_c @ SY766 @ SY767 ) ) ) )
= $false )
| ( ( SV83 @ SV202 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1135]) ).
thf(1235,plain,
! [SV332: set_Sum_sum_c_c,SV282: set_Sum_sum_c_c,SV203: set_Sum_sum_c_c,SV84: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV84 @ SV203 ) )
= $true )
| ( ( ~ ( ord_le1772180283um_c_c @ SV282 @ SV332 )
| ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV84 @ SV282 ) @ ( sup_su1349021703um_c_c @ SV203 @ SV332 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1136]) ).
thf(1236,plain,
! [SV85: produc640052711real_c] :
( ( SV85
!= ( produc1687028567real_c @ ( sK3_SY504 @ SV85 ) @ ( produc394644079real_c @ ( sK8_SY735 @ SV85 ) @ ( sK16_SY761 @ SV85 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1137]) ).
thf(1237,plain,
! [SV86: produc640052711real_c] :
( ( SV86
= ( produc1687028567real_c @ ( sK4_SY507 @ SV86 ) @ ( sK9_SY737 @ SV86 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1138]) ).
thf(1238,plain,
! [SV283: produc640052711real_c,SV204: set_Pr754230471real_c,SV87: set_Pr754230471real_c] :
( ( ( ord_le1988344935real_c @ SV87 @ SV204 )
= $false )
| ( ( ~ ( member346808080real_c @ SV283 @ SV87 )
| ( member346808080real_c @ SV283 @ SV204 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1139]) ).
thf(1239,plain,
! [SV333: produc190496183real_c,SV284: produc190496183real_c,SV205: set_Sum_sum_c_c,SV88: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV88 @ SV205 ) )
= $true )
| ( ( ~ ( denota1997846518gree_c @ SV284 @ SV333 @ SV205 )
| ( denota1997846518gree_c @ SV284 @ SV333 @ SV88 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1140]) ).
thf(1240,plain,
! [SV285: produc190496183real_c,SV207: produc190496183real_c,SV90: produc190496183real_c] :
( ( ( ( produc876006723real_c @ ( produc1687028567real_c @ SV90 @ SV207 ) )
= SV285 )
= $false )
| ( ( SV90 = SV285 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1142]) ).
thf(1241,plain,
! [SV286: set_Pr754230471real_c,SV208: set_Pr754230471real_c,SV91: produc640052711real_c] :
( ( ( member346808080real_c @ SV91 @ ( sup_su588839579real_c @ SV208 @ SV286 ) )
= $false )
| ( ( ~ ~ ( member346808080real_c @ SV91 @ SV208 )
| ( member346808080real_c @ SV91 @ SV286 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1143]) ).
thf(1242,plain,
! [SV334: set_Sum_sum_c_c,SV287: set_Sum_sum_c_c,SV209: set_Sum_sum_c_c,SV92: set_Sum_sum_c_c] :
( ( ( SV92
!= ( sup_su1349021703um_c_c @ SV209 @ SV287 ) )
= $true )
| ( ( ( sup_su1349021703um_c_c @ SV92 @ SV334 )
= ( sup_su1349021703um_c_c @ SV209 @ ( sup_su1349021703um_c_c @ SV287 @ SV334 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1146]) ).
thf(1243,plain,
! [SV288: finite1398487019real_c,SV210: finite1398487019real_c,SV93: produc190496183real_c] :
( ( ( SV93
= ( produc394644079real_c @ SV210 @ SV288 ) )
= $false )
| ( ( ( produc314122909real_c @ SV93 )
= SV288 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1147]) ).
thf(1244,plain,
! [SV289: produc190496183real_c] :
( ( ~ ( member346808080real_c @ ( produc1687028567real_c @ ( produc394644079real_c @ nu_22 @ nu_2 ) @ SV289 ) @ ( denota904684656_a_b_c @ j @ ( choice_a_b_c @ a @ b ) ) )
| ~ ( denota1997846518gree_c @ ( produc394644079real_c @ mu3 @ mu2 ) @ SV289 @ ( sup_su1349021703um_c_c @ ( static_MBV_a_b_c @ ( choice_a_b_c @ a @ b ) ) @ v ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1148]) ).
thf(1245,plain,
! [SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c,SV94: set_Sum_sum_c_c] :
( ( ( ~ ( ! [SY740: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY740 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
| ( SV290 @ SY740 ) )
| ~ ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) )
| ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY740: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY740 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
| ( SV290 @ SY740 ) )
| ~ ~ ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) )
| ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1149]) ).
thf(1246,plain,
! [SV291: finite1398487019real_c,SV212: finite1398487019real_c,SV95: finite1398487019real_c] :
( ( ( ( produc314122909real_c @ ( produc394644079real_c @ SV95 @ SV212 ) )
= SV291 )
= $false )
| ( ( SV212 = SV291 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1151]) ).
thf(1247,plain,
! [SV292: set_Sum_sum_c_c,SV213: set_Sum_sum_c_c,SV96: set_Sum_sum_c_c] :
( ( ( ~ ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV96 @ SV213 ) @ SV292 )
| ~ ( ~ ( ord_le1772180283um_c_c @ SV96 @ SV292 )
| ~ ( ord_le1772180283um_c_c @ SV213 @ SV292 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV96 @ SV213 ) @ SV292 )
| ~ ~ ( ~ ( ord_le1772180283um_c_c @ SV96 @ SV292 )
| ~ ( ord_le1772180283um_c_c @ SV213 @ SV292 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1152]) ).
thf(1248,plain,
! [SV293: set_Sum_sum_c_c,SV214: set_Sum_sum_c_c,SV97: sum_sum_c_c] :
( ( ( ~ ~ ( member_Sum_sum_c_c @ SV97 @ SV214 )
| ( member_Sum_sum_c_c @ SV97 @ SV293 ) )
= $false )
| ( ( member_Sum_sum_c_c @ SV97 @ ( sup_su1349021703um_c_c @ SV293 @ SV214 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1154]) ).
thf(1249,plain,
! [SV294: set_Sum_sum_c_c,SV215: set_Sum_sum_c_c,SV98: set_Sum_sum_c_c] :
( ( ( ~ ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV98 @ SV215 ) @ SV294 )
| ~ ( ~ ( ord_le1772180283um_c_c @ SV98 @ SV294 )
| ~ ( ord_le1772180283um_c_c @ SV215 @ SV294 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV98 @ SV215 ) @ SV294 )
| ~ ~ ( ~ ( ord_le1772180283um_c_c @ SV98 @ SV294 )
| ~ ( ord_le1772180283um_c_c @ SV215 @ SV294 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1155]) ).
thf(1250,plain,
! [SV295: produc190496183real_c,SV216: produc190496183real_c,SV99: produc190496183real_c] :
( ( ( ( produc415593093real_c @ ( produc1687028567real_c @ SV99 @ SV216 ) )
= SV295 )
= $false )
| ( ( SV216 = SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1157]) ).
thf(1251,plain,
! [SV296: set_Pr754230471real_c,SV218: set_Pr754230471real_c,SV101: produc640052711real_c] :
( ( ( ~ ~ ( member346808080real_c @ SV101 @ SV218 )
| ( member346808080real_c @ SV101 @ SV296 ) )
= $false )
| ( ( member346808080real_c @ SV101 @ ( sup_su588839579real_c @ SV296 @ SV218 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1159]) ).
thf(1252,plain,
! [SV297: set_Sum_sum_c_c,SV219: set_Sum_sum_c_c,SV102: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV102 @ SV219 )
= $false )
| ( ( ord_le1772180283um_c_c @ SV102 @ ( sup_su1349021703um_c_c @ SV219 @ SV297 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1160]) ).
thf(1253,plain,
! [SV298: set_Sum_sum_c_c,SV220: set_Sum_sum_c_c,SV103: set_Sum_sum_c_c] :
( ( ( ~ ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV103 @ SV220 ) @ SV298 )
| ~ ( ~ ( ord_le1772180283um_c_c @ SV103 @ SV298 )
| ~ ( ord_le1772180283um_c_c @ SV220 @ SV298 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV103 @ SV220 ) @ SV298 )
| ~ ~ ( ~ ( ord_le1772180283um_c_c @ SV103 @ SV298 )
| ~ ( ord_le1772180283um_c_c @ SV220 @ SV298 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1161]) ).
thf(1254,plain,
! [SV104: hp_a_b_c,SV221: hp_a_b_c] :
( ( ( ~ ( hpsafe_a_b_c @ SV221 ) )
= $true )
| ( ( hpsafe_a_b_c @ ( choice_a_b_c @ SV104 @ SV221 ) )
= $true )
| ( ( hpsafe_a_b_c @ SV104 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1163]) ).
thf(1255,plain,
! [SV299: set_Sum_sum_c_c,SV222: set_Sum_sum_c_c,SV105: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV105 @ SV222 )
= $false )
| ( ( ord_le1772180283um_c_c @ SV105 @ ( sup_su1349021703um_c_c @ SV299 @ SV222 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1164]) ).
thf(1256,plain,
! [SV106: produc190496183real_c] :
( ( ! [SY743: finite1398487019real_c] :
( SV106
!= ( produc394644079real_c @ ( sK5_SY549 @ SV106 ) @ SY743 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1165]) ).
thf(1257,plain,
! [SV300: set_Sum_sum_c_c,SV223: set_Sum_sum_c_c,SV107: set_Sum_sum_c_c > set_Sum_sum_c_c > set_Sum_sum_c_c] :
( ( ( ! [SY553: set_Sum_sum_c_c,SY554: set_Sum_sum_c_c] : ( ord_le1772180283um_c_c @ SY553 @ ( SV107 @ SY553 @ SY554 ) ) )
= $false )
| ( ( ~ ! [SY555: set_Sum_sum_c_c,SY556: set_Sum_sum_c_c] : ( ord_le1772180283um_c_c @ SY556 @ ( SV107 @ SY555 @ SY556 ) )
| ~ ! [SY557: set_Sum_sum_c_c,SY558: set_Sum_sum_c_c,SY559: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SY558 @ SY557 )
| ~ ( ord_le1772180283um_c_c @ SY559 @ SY557 )
| ( ord_le1772180283um_c_c @ ( SV107 @ SY558 @ SY559 ) @ SY557 ) )
| ( ( sup_su1349021703um_c_c @ SV223 @ SV300 )
= ( SV107 @ SV223 @ SV300 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1166]) ).
thf(1258,plain,
! [SV301: set_Sum_sum_c_c,SV224: set_Sum_sum_c_c,SV108: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV108 @ SV224 )
= $false )
| ( ( ~ ( ord_le1772180283um_c_c @ SV301 @ SV224 )
| ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV108 @ SV301 ) @ SV224 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1167]) ).
thf(1259,plain,
! [SV302: finite1398487019real_c,SV225: finite1398487019real_c,SV109: finite1398487019real_c] :
( ( ( ( produc2010422875real_c @ ( produc394644079real_c @ SV109 @ SV225 ) )
= SV302 )
= $false )
| ( ( SV109 = SV302 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1168]) ).
thf(1260,plain,
! [SV303: set_Sum_sum_c_c,SV226: set_Sum_sum_c_c,SV110: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV110 @ SV226 )
= $false )
| ( ( ord_le1772180283um_c_c @ SV110 @ ( sup_su1349021703um_c_c @ SV226 @ SV303 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1169]) ).
thf(1261,plain,
! [SV304: set_Sum_sum_c_c,SV227: set_Sum_sum_c_c,SV111: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV111 @ SV227 )
= $false )
| ( ( ~ ( ord_le1772180283um_c_c @ SV304 @ SV227 )
| ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV111 @ SV304 ) @ SV227 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1170]) ).
thf(1262,plain,
! [SV305: set_Pr754230471real_c,SV229: set_Pr754230471real_c,SV113: produc640052711real_c] :
( ( ( member346808080real_c @ SV113 @ SV229 )
= $false )
| ( ( member346808080real_c @ SV113 @ ( sup_su588839579real_c @ SV305 @ SV229 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1172]) ).
thf(1263,plain,
! [SV306: set_Sum_sum_c_c,SV230: set_Sum_sum_c_c,SV114: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV114 @ ( sup_su1349021703um_c_c @ SV230 @ SV306 ) )
= $false )
| ( ( ~ ! [SY751: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SY751 @ SV230 )
| ! [SY752: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SY752 @ SV306 )
| ( SV114
!= ( sup_su1349021703um_c_c @ SY751 @ SY752 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1173]) ).
thf(1264,plain,
! [SV335: set_Sum_sum_c_c,SV307: set_Sum_sum_c_c,SV231: set_Sum_sum_c_c,SV115: set_Sum_sum_c_c] :
( ( ( SV115
!= ( sup_su1349021703um_c_c @ SV231 @ SV307 ) )
= $true )
| ( ( ( sup_su1349021703um_c_c @ SV335 @ SV115 )
= ( sup_su1349021703um_c_c @ SV231 @ ( sup_su1349021703um_c_c @ SV335 @ SV307 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1174]) ).
thf(1265,plain,
! [SV116: produc640052711real_c] :
( ( ! [SY754: produc190496183real_c] :
( SV116
!= ( produc1687028567real_c @ ( sK6_SY578 @ SV116 ) @ SY754 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1175]) ).
thf(1266,plain,
! [SV336: set_Sum_sum_c_c,SV308: set_Sum_sum_c_c,SV232: produc190496183real_c,SV117: produc190496183real_c] :
( ( ( ~ ( denota1997846518gree_c @ SV117 @ SV232 @ SV308 ) )
= $true )
| ( ( ~ ( denota1997846518gree_c @ SV117 @ SV232 @ SV336 )
| ( denota1997846518gree_c @ SV117 @ SV232 @ ( sup_su1349021703um_c_c @ SV308 @ SV336 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1176]) ).
thf(1267,plain,
! [SV337: finite1398487019real_c,SV309: finite1398487019real_c,SV233: finite1398487019real_c,SV118: finite1398487019real_c] :
( ( ( ( produc394644079real_c @ SV118 @ SV233 )
!= ( produc394644079real_c @ SV309 @ SV337 ) )
= $true )
| ( ( ~ ( ( SV118 != SV309 )
| ( SV233 != SV337 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1177]) ).
thf(1268,plain,
! [SV310: produc190496183real_c,SV234: produc190496183real_c,SV119: produc640052711real_c] :
( ( ( SV119
= ( produc1687028567real_c @ SV234 @ SV310 ) )
= $false )
| ( ( ( produc876006723real_c @ SV119 )
= SV234 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1178]) ).
thf(1269,plain,
! [SV311: set_Pr754230471real_c,SV235: set_Pr754230471real_c,SV120: produc640052711real_c] :
( ( ( member346808080real_c @ SV120 @ SV235 )
= $false )
| ( ( member346808080real_c @ SV120 @ ( sup_su588839579real_c @ SV235 @ SV311 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1179]) ).
thf(1270,plain,
! [SV236: produc640052711real_c,SV121: produc190496183real_c] :
( ( ( ( SV121
= ( produc415593093real_c @ SV236 ) )
| ~ ! [SY715: produc190496183real_c] :
( SV236
!= ( produc1687028567real_c @ SY715 @ SV121 ) ) )
= $false )
| ( ( ~ ( ( SV121
!= ( produc415593093real_c @ SV236 ) )
| ~ ~ ! [SY715: produc190496183real_c] :
( SV236
!= ( produc1687028567real_c @ SY715 @ SV121 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1180]) ).
thf(1271,plain,
! [SV237: produc190496183real_c,SV122: finite1398487019real_c] :
( ( ( ( SV122
= ( produc2010422875real_c @ SV237 ) )
| ~ ! [SY716: finite1398487019real_c] :
( SV237
!= ( produc394644079real_c @ SV122 @ SY716 ) ) )
= $false )
| ( ( ~ ( ( SV122
!= ( produc2010422875real_c @ SV237 ) )
| ~ ~ ! [SY716: finite1398487019real_c] :
( SV237
!= ( produc394644079real_c @ SV122 @ SY716 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1181]) ).
thf(1272,plain,
! [SV338: produc190496183real_c,SV312: produc190496183real_c,SV238: set_Sum_sum_c_c,SV123: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV123 @ SV238 ) )
= $true )
| ( ( ~ ( denota1997846518gree_c @ SV312 @ SV338 @ SV238 )
| ( denota1997846518gree_c @ SV312 @ SV338 @ SV123 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1182]) ).
thf(1273,plain,
! [SV339: finite1398487019real_c,SV313: finite1398487019real_c,SV239: finite1398487019real_c,SV124: finite1398487019real_c] :
( ( ~ ( ( ( produc394644079real_c @ SV124 @ SV239 )
= ( produc394644079real_c @ SV313 @ SV339 ) )
| ~ ( ( SV124 != SV313 )
| ( SV239 != SV339 ) ) )
| ~ ( ( ( produc394644079real_c @ SV124 @ SV239 )
!= ( produc394644079real_c @ SV313 @ SV339 ) )
| ~ ~ ( ( SV124 != SV313 )
| ( SV239 != SV339 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1183]) ).
thf(1274,plain,
! [SV339: finite1398487019real_c,SV313: finite1398487019real_c,SV239: finite1398487019real_c,SV124: finite1398487019real_c] :
( ( ( ( produc394644079real_c @ SV124 @ SV239 )
= ( produc394644079real_c @ SV313 @ SV339 ) )
= ( ~ ( ( SV124 != SV313 )
| ( SV239 != SV339 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1183]) ).
thf(1275,plain,
! [SV240: set_Pr754230471real_c,SV125: set_Pr754230471real_c,SV1: produc640052711real_c] :
( ( ( ( member346808080real_c @ SV1 @ ( sup_su588839579real_c @ SV125 @ SV240 ) )
| ( member346808080real_c @ SV1 @ SV125 )
| ( member346808080real_c @ SV1 @ SV240 ) )
= $false )
| ( ( ~ ( ~ ( member346808080real_c @ SV1 @ ( sup_su588839579real_c @ SV125 @ SV240 ) )
| ~ ( ( member346808080real_c @ SV1 @ SV125 )
| ( member346808080real_c @ SV1 @ SV240 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1184]) ).
thf(1276,plain,
! [SV241: set_Sum_sum_c_c,SV126: set_Sum_sum_c_c,SV2: sum_sum_c_c] :
( ( ( ( member_Sum_sum_c_c @ SV2 @ ( sup_su1349021703um_c_c @ SV126 @ SV241 ) )
| ( member_Sum_sum_c_c @ SV2 @ SV126 )
| ( member_Sum_sum_c_c @ SV2 @ SV241 ) )
= $false )
| ( ( ~ ( ~ ( member_Sum_sum_c_c @ SV2 @ ( sup_su1349021703um_c_c @ SV126 @ SV241 ) )
| ~ ( ( member_Sum_sum_c_c @ SV2 @ SV126 )
| ( member_Sum_sum_c_c @ SV2 @ SV241 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1185]) ).
thf(1277,plain,
! [SV130: produc640052711real_c > $o,SV8: produc640052711real_c] :
( ( ( member346808080real_c @ SV8 @ ( collec1126017874real_c @ SV130 ) )
= $false )
| ( ( ~ ( ~ ( member346808080real_c @ SV8 @ ( collec1126017874real_c @ SV130 ) )
| ~ ( SV130 @ SV8 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1186]) ).
thf(1278,plain,
! [SV8: produc640052711real_c,SV130: produc640052711real_c > $o] :
( ( ( SV130 @ SV8 )
= $false )
| ( ( ~ ( ~ ( member346808080real_c @ SV8 @ ( collec1126017874real_c @ SV130 ) )
| ~ ( SV130 @ SV8 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1186]) ).
thf(1279,plain,
! [SV314: set_Sum_sum_c_c,SV131: set_Sum_sum_c_c] :
( ( ( ~ ( ( ord_le1772180283um_c_c @ SV131 @ SV314 )
| ( ( sup_su1349021703um_c_c @ SV131 @ SV314 )
= SV314 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV131 @ SV314 )
| ( ( sup_su1349021703um_c_c @ SV131 @ SV314 )
!= SV314 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1187]) ).
thf(1280,plain,
! [SV315: set_Sum_sum_c_c,SV132: set_Sum_sum_c_c] :
( ( ( ~ ( ( ord_le1772180283um_c_c @ SV132 @ SV315 )
| ( ( sup_su1349021703um_c_c @ SV315 @ SV132 )
= SV315 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV132 @ SV315 )
| ( ( sup_su1349021703um_c_c @ SV315 @ SV132 )
!= SV315 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1189]) ).
thf(1281,plain,
! [SV316: set_Sum_sum_c_c,SV135: set_Sum_sum_c_c] :
( ( ( ~ ( ( ord_le1772180283um_c_c @ SV135 @ SV316 )
| ( SV316
= ( sup_su1349021703um_c_c @ SV316 @ SV135 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV135 @ SV316 )
| ( SV316
!= ( sup_su1349021703um_c_c @ SV316 @ SV135 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1191]) ).
thf(1282,plain,
! [SV317: set_Sum_sum_c_c,SV136: set_Sum_sum_c_c] :
( ( ( ~ ( ( ord_le1772180283um_c_c @ SV136 @ SV317 )
| ( ( sup_su1349021703um_c_c @ SV136 @ SV317 )
= SV317 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV136 @ SV317 )
| ( ( sup_su1349021703um_c_c @ SV136 @ SV317 )
!= SV317 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1193]) ).
thf(1283,plain,
! [SV318: set_Sum_sum_c_c,SV141: set_Sum_sum_c_c] :
( ( ( ~ ( ( ord_le1772180283um_c_c @ SV141 @ SV318 )
| ( ( sup_su1349021703um_c_c @ SV141 @ SV318 )
= SV318 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV141 @ SV318 )
| ( ( sup_su1349021703um_c_c @ SV141 @ SV318 )
!= SV318 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1195]) ).
thf(1284,plain,
! [SV167: produc190496183real_c,SV47: finite1398487019real_c] :
( ( ( SV47
= ( produc314122909real_c @ SV167 ) )
= $false )
| ( ( ~ ( ( SV47
!= ( produc314122909real_c @ SV167 ) )
| ~ ~ ! [SY620: finite1398487019real_c] :
( SV167
!= ( produc394644079real_c @ SY620 @ SV47 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1197]) ).
thf(1285,plain,
! [SV47: finite1398487019real_c,SV167: produc190496183real_c] :
( ( ( ~ ! [SY620: finite1398487019real_c] :
( SV167
!= ( produc394644079real_c @ SY620 @ SV47 ) ) )
= $false )
| ( ( ~ ( ( SV47
!= ( produc314122909real_c @ SV167 ) )
| ~ ~ ! [SY620: finite1398487019real_c] :
( SV167
!= ( produc394644079real_c @ SY620 @ SV47 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1197]) ).
thf(1286,plain,
! [SV168: produc640052711real_c,SV48: produc190496183real_c] :
( ( ( SV48
= ( produc876006723real_c @ SV168 ) )
= $false )
| ( ( ~ ( ( SV48
!= ( produc876006723real_c @ SV168 ) )
| ~ ~ ! [SY621: produc190496183real_c] :
( SV168
!= ( produc1687028567real_c @ SV48 @ SY621 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1198]) ).
thf(1287,plain,
! [SV48: produc190496183real_c,SV168: produc640052711real_c] :
( ( ( ~ ! [SY621: produc190496183real_c] :
( SV168
!= ( produc1687028567real_c @ SV48 @ SY621 ) ) )
= $false )
| ( ( ~ ( ( SV48
!= ( produc876006723real_c @ SV168 ) )
| ~ ~ ! [SY621: produc190496183real_c] :
( SV168
!= ( produc1687028567real_c @ SV48 @ SY621 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1198]) ).
thf(1288,plain,
! [SV169: produc190496183real_c,SV49: produc190496183real_c > $o] :
( ( ( SV49 @ ( produc394644079real_c @ ( sK10_SY422 @ SV169 @ SV49 ) @ ( sK17_SY762 @ SV169 @ SV49 ) ) )
= $false )
| ( ( SV49 @ SV169 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1199]) ).
thf(1289,plain,
! [SV323: produc190496183real_c,SV260: produc190496183real_c,SV171: produc190496183real_c,SV51: produc190496183real_c] :
( ( ( ( produc1687028567real_c @ SV51 @ SV171 )
= ( produc1687028567real_c @ SV260 @ SV323 ) )
= $false )
| ( ( ~ ( ( SV51 != SV260 )
| ( SV171 != SV323 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1200]) ).
thf(1290,plain,
! [SV324: hp_a_b_c,SV263: hp_a_b_c,SV174: hp_a_b_c,SV55: hp_a_b_c] :
( ( ( ~ ( ( ( choice_a_b_c @ SV55 @ SV174 )
= ( choice_a_b_c @ SV263 @ SV324 ) )
| ~ ( ( SV55 != SV263 )
| ( SV174 != SV324 ) ) ) )
= $true )
| ( ( ~ ( ( ( choice_a_b_c @ SV55 @ SV174 )
!= ( choice_a_b_c @ SV263 @ SV324 ) )
| ~ ~ ( ( SV55 != SV263 )
| ( SV174 != SV324 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1204]) ).
thf(1291,plain,
! [SV56: set_Sum_sum_c_c,SV175: set_Sum_sum_c_c,SV264: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV264 @ SV175 ) )
= $true )
| ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV56 @ SV264 ) @ SV175 )
= $true )
| ( ( ord_le1772180283um_c_c @ SV56 @ SV175 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1206]) ).
thf(1292,plain,
! [SV177: hp_a_b_c,SV58: hp_a_b_c] :
( ( ( hpsafe_a_b_c @ ( choice_a_b_c @ SV58 @ SV177 ) )
= $false )
| ( ( ~ ( ~ ( hpsafe_a_b_c @ ( choice_a_b_c @ SV58 @ SV177 ) )
| ~ ~ ( ~ ( hpsafe_a_b_c @ SV58 )
| ~ ( hpsafe_a_b_c @ SV177 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1208]) ).
thf(1293,plain,
! [SV177: hp_a_b_c,SV58: hp_a_b_c] :
( ( ( ~ ( ~ ( hpsafe_a_b_c @ SV58 )
| ~ ( hpsafe_a_b_c @ SV177 ) ) )
= $false )
| ( ( ~ ( ~ ( hpsafe_a_b_c @ ( choice_a_b_c @ SV58 @ SV177 ) )
| ~ ~ ( ~ ( hpsafe_a_b_c @ SV58 )
| ~ ( hpsafe_a_b_c @ SV177 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1208]) ).
thf(1294,plain,
! [SV325: set_Sum_sum_c_c,SV266: set_Sum_sum_c_c,SV178: set_Sum_sum_c_c,SV59: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV59 @ SV178 )
= $false )
| ( ( ~ ( ord_le1772180283um_c_c @ SV266 @ SV325 )
| ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV59 @ SV266 ) @ ( sup_su1349021703um_c_c @ SV178 @ SV325 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1209]) ).
thf(1295,plain,
! [SV326: produc190496183real_c,SV267: produc190496183real_c,SV181: produc190496183real_c,SV62: produc190496183real_c] :
( ( ( ~ ( ( ( produc1687028567real_c @ SV62 @ SV181 )
= ( produc1687028567real_c @ SV267 @ SV326 ) )
| ~ ( ( SV62 != SV267 )
| ( SV181 != SV326 ) ) ) )
= $true )
| ( ( ~ ( ( ( produc1687028567real_c @ SV62 @ SV181 )
!= ( produc1687028567real_c @ SV267 @ SV326 ) )
| ~ ~ ( ( SV62 != SV267 )
| ( SV181 != SV326 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1210]) ).
thf(1296,plain,
! [SV183: set_Sum_sum_c_c,SV268: set_Sum_sum_c_c,SV64: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV64 @ SV268 )
| ~ ( ord_le1772180283um_c_c @ SV183 @ SV268 ) )
= $false )
| ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV64 @ SV183 ) @ SV268 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1212]) ).
thf(1297,plain,
! [SV184: set_Sum_sum_c_c,SV269: set_Sum_sum_c_c,SV65: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV65 @ SV269 )
| ~ ( ord_le1772180283um_c_c @ SV184 @ SV269 ) )
= $false )
| ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV65 @ SV184 ) @ SV269 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1213]) ).
thf(1298,plain,
! [SV185: produc640052711real_c,SV66: produc640052711real_c > $o] :
( ( ( SV66 @ ( produc1687028567real_c @ ( sK11_SY456 @ SV185 @ SV66 ) @ ( sK18_SY763 @ SV185 @ SV66 ) ) )
= $false )
| ( ( SV66 @ SV185 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1214]) ).
thf(1299,plain,
! [SV186: set_Pr754230471real_c,SV67: set_Pr754230471real_c,SV270: produc640052711real_c] :
( ( ( ~ ( member346808080real_c @ SV270 @ SV67 ) )
= $true )
| ( ( member346808080real_c @ SV270 @ SV186 )
= $true )
| ( ( ord_le1988344935real_c @ SV67 @ SV186 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1215]) ).
thf(1300,plain,
! [SV327: set_Pr754230471real_c,SV187: set_Pr754230471real_c] :
( ( ( ~ ( ( ord_le1988344935real_c @ SV187 @ SV327 )
| ! [SY759: produc640052711real_c] :
( ~ ( member346808080real_c @ SY759 @ SV187 )
| ( member346808080real_c @ SY759 @ SV327 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le1988344935real_c @ SV187 @ SV327 )
| ~ ! [SY759: produc640052711real_c] :
( ~ ( member346808080real_c @ SY759 @ SV187 )
| ( member346808080real_c @ SY759 @ SV327 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1216]) ).
thf(1301,plain,
! [SV70: set_Pr754230471real_c,SV189: set_Pr754230471real_c] :
( ( ( ~ ( member346808080real_c @ ( sK12_SY643 @ SV189 @ SV70 ) @ SV70 ) )
= $false )
| ( ( ord_le1988344935real_c @ SV70 @ SV189 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1218]) ).
thf(1302,plain,
! [SV70: set_Pr754230471real_c,SV189: set_Pr754230471real_c] :
( ( ( member346808080real_c @ ( sK12_SY643 @ SV189 @ SV70 ) @ SV189 )
= $false )
| ( ( ord_le1988344935real_c @ SV70 @ SV189 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1218]) ).
thf(1303,plain,
! [SV328: finite1398487019real_c,SV272: finite1398487019real_c,SV190: finite1398487019real_c,SV71: finite1398487019real_c] :
( ( ( ~ ( ( ( produc394644079real_c @ SV71 @ SV190 )
= ( produc394644079real_c @ SV272 @ SV328 ) )
| ~ ( ( SV71 != SV272 )
| ( SV190 != SV328 ) ) ) )
= $true )
| ( ( ~ ( ( ( produc394644079real_c @ SV71 @ SV190 )
!= ( produc394644079real_c @ SV272 @ SV328 ) )
| ~ ~ ( ( SV71 != SV272 )
| ( SV190 != SV328 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1219]) ).
thf(1304,plain,
! [SV273: sum_sum_c_c > $o,SV191: set_Sum_sum_c_c,SV72: set_Sum_sum_c_c] :
( ( ( ~ ! [SY728: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY728 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
| ~ ( SV273 @ SY728 ) )
| ~ ! [SY729: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY729 @ SV72 )
| ~ ( SV273 @ SY729 ) )
| ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY728: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY728 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
| ~ ( SV273 @ SY728 ) )
| ~ ( ~ ! [SY729: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY729 @ SV72 )
| ~ ( SV273 @ SY729 ) )
| ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1221]) ).
thf(1305,plain,
! [SV274: set_Sum_sum_c_c,SV192: set_Sum_sum_c_c,SV73: sum_sum_c_c] :
( ( ( ~ ~ ( member_Sum_sum_c_c @ SV73 @ SV192 ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV73 @ SV274 )
= $true )
| ( ( member_Sum_sum_c_c @ SV73 @ ( sup_su1349021703um_c_c @ SV192 @ SV274 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1222]) ).
thf(1306,plain,
! [SV329: set_Sum_sum_c_c,SV275: set_Sum_sum_c_c,SV193: set_Sum_sum_c_c,SV74: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV74 @ SV193 )
= $false )
| ( ( ~ ( ord_le1772180283um_c_c @ SV275 @ SV329 )
| ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV74 @ SV275 ) @ ( sup_su1349021703um_c_c @ SV193 @ SV329 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1223]) ).
thf(1307,plain,
! [SV194: produc640052711real_c,SV75: produc640052711real_c > $o] :
( ( ( SV75 @ ( produc1687028567real_c @ ( sK13_SY479 @ SV194 @ SV75 ) @ ( sK19_SY764 @ SV194 @ SV75 ) ) )
= $false )
| ( ( SV75 @ SV194 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1224]) ).
thf(1308,plain,
! [SV76: set_Sum_sum_c_c,SV195: set_Sum_sum_c_c,SV276: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV276 @ SV195 ) )
= $true )
| ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV76 @ SV276 ) @ SV195 )
= $true )
| ( ( ord_le1772180283um_c_c @ SV76 @ SV195 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1225]) ).
thf(1309,plain,
! [SV196: produc190496183real_c,SV77: produc190496183real_c > $o] :
( ( ( SV77 @ ( produc394644079real_c @ ( sK14_SY484 @ SV196 @ SV77 ) @ ( sK20_SY765 @ SV196 @ SV77 ) ) )
= $false )
| ( ( SV77 @ SV196 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1226]) ).
thf(1310,plain,
! [SV330: produc190496183real_c,SV277: produc190496183real_c,SV197: produc190496183real_c,SV78: produc190496183real_c] :
( ( ( ~ ( ( ( produc1687028567real_c @ SV78 @ SV197 )
= ( produc1687028567real_c @ SV277 @ SV330 ) )
| ~ ( ( SV78 != SV277 )
| ( SV197 != SV330 ) ) ) )
= $true )
| ( ( ~ ( ( ( produc1687028567real_c @ SV78 @ SV197 )
!= ( produc1687028567real_c @ SV277 @ SV330 ) )
| ~ ~ ( ( SV78 != SV277 )
| ( SV197 != SV330 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1227]) ).
thf(1311,plain,
! [SV331: set_Pr754230471real_c,SV199: set_Pr754230471real_c] :
( ( ( ~ ( ( ord_le1988344935real_c @ SV199 @ SV331 )
| ! [SY760: produc640052711real_c] :
( ~ ( member346808080real_c @ SY760 @ SV199 )
| ( member346808080real_c @ SY760 @ SV331 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le1988344935real_c @ SV199 @ SV331 )
| ~ ! [SY760: produc640052711real_c] :
( ~ ( member346808080real_c @ SY760 @ SV199 )
| ( member346808080real_c @ SY760 @ SV331 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1230]) ).
thf(1312,plain,
! [SV202: produc640052711real_c,SV83: produc640052711real_c > $o] :
( ( ( ! [SY768: finite1398487019real_c] : ( SV83 @ ( produc1687028567real_c @ ( sK15_SY498 @ SV202 @ SV83 ) @ ( produc394644079real_c @ ( sK21_SY766 @ SV202 @ SV83 ) @ SY768 ) ) ) )
= $false )
| ( ( SV83 @ SV202 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1234]) ).
thf(1313,plain,
! [SV332: set_Sum_sum_c_c,SV282: set_Sum_sum_c_c,SV203: set_Sum_sum_c_c,SV84: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV84 @ SV203 )
= $false )
| ( ( ~ ( ord_le1772180283um_c_c @ SV282 @ SV332 )
| ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV84 @ SV282 ) @ ( sup_su1349021703um_c_c @ SV203 @ SV332 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1235]) ).
thf(1314,plain,
! [SV85: produc640052711real_c] :
( ( SV85
= ( produc1687028567real_c @ ( sK3_SY504 @ SV85 ) @ ( produc394644079real_c @ ( sK8_SY735 @ SV85 ) @ ( sK16_SY761 @ SV85 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1236]) ).
thf(1315,plain,
! [SV204: set_Pr754230471real_c,SV87: set_Pr754230471real_c,SV283: produc640052711real_c] :
( ( ( ~ ( member346808080real_c @ SV283 @ SV87 ) )
= $true )
| ( ( member346808080real_c @ SV283 @ SV204 )
= $true )
| ( ( ord_le1988344935real_c @ SV87 @ SV204 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1238]) ).
thf(1316,plain,
! [SV333: produc190496183real_c,SV284: produc190496183real_c,SV205: set_Sum_sum_c_c,SV88: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV88 @ SV205 )
= $false )
| ( ( ~ ( denota1997846518gree_c @ SV284 @ SV333 @ SV205 )
| ( denota1997846518gree_c @ SV284 @ SV333 @ SV88 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1239]) ).
thf(1317,plain,
! [SV286: set_Pr754230471real_c,SV208: set_Pr754230471real_c,SV91: produc640052711real_c] :
( ( ( ~ ~ ( member346808080real_c @ SV91 @ SV208 ) )
= $true )
| ( ( member346808080real_c @ SV91 @ SV286 )
= $true )
| ( ( member346808080real_c @ SV91 @ ( sup_su588839579real_c @ SV208 @ SV286 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1241]) ).
thf(1318,plain,
! [SV334: set_Sum_sum_c_c,SV287: set_Sum_sum_c_c,SV209: set_Sum_sum_c_c,SV92: set_Sum_sum_c_c] :
( ( ( SV92
= ( sup_su1349021703um_c_c @ SV209 @ SV287 ) )
= $false )
| ( ( ( sup_su1349021703um_c_c @ SV92 @ SV334 )
= ( sup_su1349021703um_c_c @ SV209 @ ( sup_su1349021703um_c_c @ SV287 @ SV334 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1242]) ).
thf(1319,plain,
! [SV289: produc190496183real_c] :
( ( ( ~ ( member346808080real_c @ ( produc1687028567real_c @ ( produc394644079real_c @ nu_22 @ nu_2 ) @ SV289 ) @ ( denota904684656_a_b_c @ j @ ( choice_a_b_c @ a @ b ) ) ) )
= $true )
| ( ( ~ ( denota1997846518gree_c @ ( produc394644079real_c @ mu3 @ mu2 ) @ SV289 @ ( sup_su1349021703um_c_c @ ( static_MBV_a_b_c @ ( choice_a_b_c @ a @ b ) ) @ v ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1244]) ).
thf(1320,plain,
! [SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c,SV94: set_Sum_sum_c_c] :
( ( ( ! [SY740: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY740 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
| ( SV290 @ SY740 ) )
| ~ ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) )
| ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY740: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY740 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
| ( SV290 @ SY740 ) )
| ~ ~ ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) )
| ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1245]) ).
thf(1321,plain,
! [SV292: set_Sum_sum_c_c,SV213: set_Sum_sum_c_c,SV96: set_Sum_sum_c_c] :
( ( ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV96 @ SV213 ) @ SV292 )
| ~ ( ~ ( ord_le1772180283um_c_c @ SV96 @ SV292 )
| ~ ( ord_le1772180283um_c_c @ SV213 @ SV292 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV96 @ SV213 ) @ SV292 )
| ~ ~ ( ~ ( ord_le1772180283um_c_c @ SV96 @ SV292 )
| ~ ( ord_le1772180283um_c_c @ SV213 @ SV292 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1247]) ).
thf(1322,plain,
! [SV293: set_Sum_sum_c_c,SV214: set_Sum_sum_c_c,SV97: sum_sum_c_c] :
( ( ( ~ ~ ( member_Sum_sum_c_c @ SV97 @ SV214 ) )
= $false )
| ( ( member_Sum_sum_c_c @ SV97 @ ( sup_su1349021703um_c_c @ SV293 @ SV214 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1248]) ).
thf(1323,plain,
! [SV214: set_Sum_sum_c_c,SV293: set_Sum_sum_c_c,SV97: sum_sum_c_c] :
( ( ( member_Sum_sum_c_c @ SV97 @ SV293 )
= $false )
| ( ( member_Sum_sum_c_c @ SV97 @ ( sup_su1349021703um_c_c @ SV293 @ SV214 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1248]) ).
thf(1324,plain,
! [SV294: set_Sum_sum_c_c,SV215: set_Sum_sum_c_c,SV98: set_Sum_sum_c_c] :
( ( ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV98 @ SV215 ) @ SV294 )
| ~ ( ~ ( ord_le1772180283um_c_c @ SV98 @ SV294 )
| ~ ( ord_le1772180283um_c_c @ SV215 @ SV294 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV98 @ SV215 ) @ SV294 )
| ~ ~ ( ~ ( ord_le1772180283um_c_c @ SV98 @ SV294 )
| ~ ( ord_le1772180283um_c_c @ SV215 @ SV294 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1249]) ).
thf(1325,plain,
! [SV296: set_Pr754230471real_c,SV218: set_Pr754230471real_c,SV101: produc640052711real_c] :
( ( ( ~ ~ ( member346808080real_c @ SV101 @ SV218 ) )
= $false )
| ( ( member346808080real_c @ SV101 @ ( sup_su588839579real_c @ SV296 @ SV218 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1251]) ).
thf(1326,plain,
! [SV218: set_Pr754230471real_c,SV296: set_Pr754230471real_c,SV101: produc640052711real_c] :
( ( ( member346808080real_c @ SV101 @ SV296 )
= $false )
| ( ( member346808080real_c @ SV101 @ ( sup_su588839579real_c @ SV296 @ SV218 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1251]) ).
thf(1327,plain,
! [SV298: set_Sum_sum_c_c,SV220: set_Sum_sum_c_c,SV103: set_Sum_sum_c_c] :
( ( ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV103 @ SV220 ) @ SV298 )
| ~ ( ~ ( ord_le1772180283um_c_c @ SV103 @ SV298 )
| ~ ( ord_le1772180283um_c_c @ SV220 @ SV298 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV103 @ SV220 ) @ SV298 )
| ~ ~ ( ~ ( ord_le1772180283um_c_c @ SV103 @ SV298 )
| ~ ( ord_le1772180283um_c_c @ SV220 @ SV298 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1253]) ).
thf(1328,plain,
! [SV104: hp_a_b_c,SV221: hp_a_b_c] :
( ( ( hpsafe_a_b_c @ SV221 )
= $false )
| ( ( hpsafe_a_b_c @ ( choice_a_b_c @ SV104 @ SV221 ) )
= $true )
| ( ( hpsafe_a_b_c @ SV104 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1254]) ).
thf(1329,plain,
! [SV106: produc190496183real_c] :
( ( SV106
!= ( produc394644079real_c @ ( sK5_SY549 @ SV106 ) @ ( sK22_SY743 @ SV106 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1256]) ).
thf(1330,plain,
! [SV107: set_Sum_sum_c_c > set_Sum_sum_c_c > set_Sum_sum_c_c,SV223: set_Sum_sum_c_c,SV300: set_Sum_sum_c_c] :
( ( ( ! [SY769: set_Sum_sum_c_c] : ( ord_le1772180283um_c_c @ ( sK23_SY553 @ SV300 @ SV223 @ SV107 ) @ ( SV107 @ ( sK23_SY553 @ SV300 @ SV223 @ SV107 ) @ SY769 ) ) )
= $false )
| ( ( ~ ! [SY555: set_Sum_sum_c_c,SY556: set_Sum_sum_c_c] : ( ord_le1772180283um_c_c @ SY556 @ ( SV107 @ SY555 @ SY556 ) )
| ~ ! [SY557: set_Sum_sum_c_c,SY558: set_Sum_sum_c_c,SY559: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SY558 @ SY557 )
| ~ ( ord_le1772180283um_c_c @ SY559 @ SY557 )
| ( ord_le1772180283um_c_c @ ( SV107 @ SY558 @ SY559 ) @ SY557 ) )
| ( ( sup_su1349021703um_c_c @ SV223 @ SV300 )
= ( SV107 @ SV223 @ SV300 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1257]) ).
thf(1331,plain,
! [SV108: set_Sum_sum_c_c,SV224: set_Sum_sum_c_c,SV301: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV301 @ SV224 ) )
= $true )
| ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV108 @ SV301 ) @ SV224 )
= $true )
| ( ( ord_le1772180283um_c_c @ SV108 @ SV224 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1258]) ).
thf(1332,plain,
! [SV111: set_Sum_sum_c_c,SV227: set_Sum_sum_c_c,SV304: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV304 @ SV227 ) )
= $true )
| ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV111 @ SV304 ) @ SV227 )
= $true )
| ( ( ord_le1772180283um_c_c @ SV111 @ SV227 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1261]) ).
thf(1333,plain,
! [SV114: set_Sum_sum_c_c,SV306: set_Sum_sum_c_c,SV230: set_Sum_sum_c_c] :
( ( ( ! [SY751: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SY751 @ SV230 )
| ! [SY752: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SY752 @ SV306 )
| ( SV114
!= ( sup_su1349021703um_c_c @ SY751 @ SY752 ) ) ) ) )
= $false )
| ( ( ord_le1772180283um_c_c @ SV114 @ ( sup_su1349021703um_c_c @ SV230 @ SV306 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1263]) ).
thf(1334,plain,
! [SV335: set_Sum_sum_c_c,SV307: set_Sum_sum_c_c,SV231: set_Sum_sum_c_c,SV115: set_Sum_sum_c_c] :
( ( ( SV115
= ( sup_su1349021703um_c_c @ SV231 @ SV307 ) )
= $false )
| ( ( ( sup_su1349021703um_c_c @ SV335 @ SV115 )
= ( sup_su1349021703um_c_c @ SV231 @ ( sup_su1349021703um_c_c @ SV335 @ SV307 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1264]) ).
thf(1335,plain,
! [SV116: produc640052711real_c] :
( ( SV116
!= ( produc1687028567real_c @ ( sK6_SY578 @ SV116 ) @ ( sK24_SY754 @ SV116 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1265]) ).
thf(1336,plain,
! [SV336: set_Sum_sum_c_c,SV308: set_Sum_sum_c_c,SV232: produc190496183real_c,SV117: produc190496183real_c] :
( ( ( denota1997846518gree_c @ SV117 @ SV232 @ SV308 )
= $false )
| ( ( ~ ( denota1997846518gree_c @ SV117 @ SV232 @ SV336 )
| ( denota1997846518gree_c @ SV117 @ SV232 @ ( sup_su1349021703um_c_c @ SV308 @ SV336 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1266]) ).
thf(1337,plain,
! [SV337: finite1398487019real_c,SV309: finite1398487019real_c,SV233: finite1398487019real_c,SV118: finite1398487019real_c] :
( ( ( ( produc394644079real_c @ SV118 @ SV233 )
= ( produc394644079real_c @ SV309 @ SV337 ) )
= $false )
| ( ( ~ ( ( SV118 != SV309 )
| ( SV233 != SV337 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1267]) ).
thf(1338,plain,
! [SV236: produc640052711real_c,SV121: produc190496183real_c] :
( ( ( SV121
= ( produc415593093real_c @ SV236 ) )
= $false )
| ( ( ~ ( ( SV121
!= ( produc415593093real_c @ SV236 ) )
| ~ ~ ! [SY715: produc190496183real_c] :
( SV236
!= ( produc1687028567real_c @ SY715 @ SV121 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1270]) ).
thf(1339,plain,
! [SV121: produc190496183real_c,SV236: produc640052711real_c] :
( ( ( ~ ! [SY715: produc190496183real_c] :
( SV236
!= ( produc1687028567real_c @ SY715 @ SV121 ) ) )
= $false )
| ( ( ~ ( ( SV121
!= ( produc415593093real_c @ SV236 ) )
| ~ ~ ! [SY715: produc190496183real_c] :
( SV236
!= ( produc1687028567real_c @ SY715 @ SV121 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1270]) ).
thf(1340,plain,
! [SV237: produc190496183real_c,SV122: finite1398487019real_c] :
( ( ( SV122
= ( produc2010422875real_c @ SV237 ) )
= $false )
| ( ( ~ ( ( SV122
!= ( produc2010422875real_c @ SV237 ) )
| ~ ~ ! [SY716: finite1398487019real_c] :
( SV237
!= ( produc394644079real_c @ SV122 @ SY716 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1271]) ).
thf(1341,plain,
! [SV122: finite1398487019real_c,SV237: produc190496183real_c] :
( ( ( ~ ! [SY716: finite1398487019real_c] :
( SV237
!= ( produc394644079real_c @ SV122 @ SY716 ) ) )
= $false )
| ( ( ~ ( ( SV122
!= ( produc2010422875real_c @ SV237 ) )
| ~ ~ ! [SY716: finite1398487019real_c] :
( SV237
!= ( produc394644079real_c @ SV122 @ SY716 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1271]) ).
thf(1342,plain,
! [SV338: produc190496183real_c,SV312: produc190496183real_c,SV238: set_Sum_sum_c_c,SV123: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV123 @ SV238 )
= $false )
| ( ( ~ ( denota1997846518gree_c @ SV312 @ SV338 @ SV238 )
| ( denota1997846518gree_c @ SV312 @ SV338 @ SV123 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1272]) ).
thf(1343,plain,
! [SV339: finite1398487019real_c,SV313: finite1398487019real_c,SV239: finite1398487019real_c,SV124: finite1398487019real_c] :
( ( ( ~ ( ( ( produc394644079real_c @ SV124 @ SV239 )
= ( produc394644079real_c @ SV313 @ SV339 ) )
| ~ ( ( SV124 != SV313 )
| ( SV239 != SV339 ) ) ) )
= $true )
| ( ( ~ ( ( ( produc394644079real_c @ SV124 @ SV239 )
!= ( produc394644079real_c @ SV313 @ SV339 ) )
| ~ ~ ( ( SV124 != SV313 )
| ( SV239 != SV339 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1273]) ).
thf(1344,plain,
! [SV240: set_Pr754230471real_c,SV125: set_Pr754230471real_c,SV1: produc640052711real_c] :
( ( ( member346808080real_c @ SV1 @ ( sup_su588839579real_c @ SV125 @ SV240 ) )
= $false )
| ( ( ~ ( ~ ( member346808080real_c @ SV1 @ ( sup_su588839579real_c @ SV125 @ SV240 ) )
| ~ ( ( member346808080real_c @ SV1 @ SV125 )
| ( member346808080real_c @ SV1 @ SV240 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1275]) ).
thf(1345,plain,
! [SV240: set_Pr754230471real_c,SV125: set_Pr754230471real_c,SV1: produc640052711real_c] :
( ( ( ( member346808080real_c @ SV1 @ SV125 )
| ( member346808080real_c @ SV1 @ SV240 ) )
= $false )
| ( ( ~ ( ~ ( member346808080real_c @ SV1 @ ( sup_su588839579real_c @ SV125 @ SV240 ) )
| ~ ( ( member346808080real_c @ SV1 @ SV125 )
| ( member346808080real_c @ SV1 @ SV240 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1275]) ).
thf(1346,plain,
! [SV241: set_Sum_sum_c_c,SV126: set_Sum_sum_c_c,SV2: sum_sum_c_c] :
( ( ( member_Sum_sum_c_c @ SV2 @ ( sup_su1349021703um_c_c @ SV126 @ SV241 ) )
= $false )
| ( ( ~ ( ~ ( member_Sum_sum_c_c @ SV2 @ ( sup_su1349021703um_c_c @ SV126 @ SV241 ) )
| ~ ( ( member_Sum_sum_c_c @ SV2 @ SV126 )
| ( member_Sum_sum_c_c @ SV2 @ SV241 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1276]) ).
thf(1347,plain,
! [SV241: set_Sum_sum_c_c,SV126: set_Sum_sum_c_c,SV2: sum_sum_c_c] :
( ( ( ( member_Sum_sum_c_c @ SV2 @ SV126 )
| ( member_Sum_sum_c_c @ SV2 @ SV241 ) )
= $false )
| ( ( ~ ( ~ ( member_Sum_sum_c_c @ SV2 @ ( sup_su1349021703um_c_c @ SV126 @ SV241 ) )
| ~ ( ( member_Sum_sum_c_c @ SV2 @ SV126 )
| ( member_Sum_sum_c_c @ SV2 @ SV241 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1276]) ).
thf(1348,plain,
! [SV130: produc640052711real_c > $o,SV8: produc640052711real_c] :
( ( ( ~ ( member346808080real_c @ SV8 @ ( collec1126017874real_c @ SV130 ) )
| ~ ( SV130 @ SV8 ) )
= $false )
| ( ( member346808080real_c @ SV8 @ ( collec1126017874real_c @ SV130 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1277]) ).
thf(1349,plain,
! [SV130: produc640052711real_c > $o,SV8: produc640052711real_c] :
( ( ( ~ ( member346808080real_c @ SV8 @ ( collec1126017874real_c @ SV130 ) )
| ~ ( SV130 @ SV8 ) )
= $false )
| ( ( SV130 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1278]) ).
thf(1350,plain,
! [SV314: set_Sum_sum_c_c,SV131: set_Sum_sum_c_c] :
( ( ( ( ord_le1772180283um_c_c @ SV131 @ SV314 )
| ( ( sup_su1349021703um_c_c @ SV131 @ SV314 )
= SV314 ) )
= $false )
| ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV131 @ SV314 )
| ( ( sup_su1349021703um_c_c @ SV131 @ SV314 )
!= SV314 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1279]) ).
thf(1351,plain,
! [SV315: set_Sum_sum_c_c,SV132: set_Sum_sum_c_c] :
( ( ( ( ord_le1772180283um_c_c @ SV132 @ SV315 )
| ( ( sup_su1349021703um_c_c @ SV315 @ SV132 )
= SV315 ) )
= $false )
| ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV132 @ SV315 )
| ( ( sup_su1349021703um_c_c @ SV315 @ SV132 )
!= SV315 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1280]) ).
thf(1352,plain,
! [SV316: set_Sum_sum_c_c,SV135: set_Sum_sum_c_c] :
( ( ( ( ord_le1772180283um_c_c @ SV135 @ SV316 )
| ( SV316
= ( sup_su1349021703um_c_c @ SV316 @ SV135 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV135 @ SV316 )
| ( SV316
!= ( sup_su1349021703um_c_c @ SV316 @ SV135 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1281]) ).
thf(1353,plain,
! [SV317: set_Sum_sum_c_c,SV136: set_Sum_sum_c_c] :
( ( ( ( ord_le1772180283um_c_c @ SV136 @ SV317 )
| ( ( sup_su1349021703um_c_c @ SV136 @ SV317 )
= SV317 ) )
= $false )
| ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV136 @ SV317 )
| ( ( sup_su1349021703um_c_c @ SV136 @ SV317 )
!= SV317 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1282]) ).
thf(1354,plain,
! [SV318: set_Sum_sum_c_c,SV141: set_Sum_sum_c_c] :
( ( ( ( ord_le1772180283um_c_c @ SV141 @ SV318 )
| ( ( sup_su1349021703um_c_c @ SV141 @ SV318 )
= SV318 ) )
= $false )
| ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV141 @ SV318 )
| ( ( sup_su1349021703um_c_c @ SV141 @ SV318 )
!= SV318 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1283]) ).
thf(1355,plain,
! [SV167: produc190496183real_c,SV47: finite1398487019real_c] :
( ( ( ( SV47
!= ( produc314122909real_c @ SV167 ) )
| ~ ~ ! [SY620: finite1398487019real_c] :
( SV167
!= ( produc394644079real_c @ SY620 @ SV47 ) ) )
= $false )
| ( ( SV47
= ( produc314122909real_c @ SV167 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1284]) ).
thf(1356,plain,
! [SV47: finite1398487019real_c,SV167: produc190496183real_c] :
( ( ( ! [SY620: finite1398487019real_c] :
( SV167
!= ( produc394644079real_c @ SY620 @ SV47 ) ) )
= $true )
| ( ( ~ ( ( SV47
!= ( produc314122909real_c @ SV167 ) )
| ~ ~ ! [SY620: finite1398487019real_c] :
( SV167
!= ( produc394644079real_c @ SY620 @ SV47 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1285]) ).
thf(1357,plain,
! [SV168: produc640052711real_c,SV48: produc190496183real_c] :
( ( ( ( SV48
!= ( produc876006723real_c @ SV168 ) )
| ~ ~ ! [SY621: produc190496183real_c] :
( SV168
!= ( produc1687028567real_c @ SV48 @ SY621 ) ) )
= $false )
| ( ( SV48
= ( produc876006723real_c @ SV168 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1286]) ).
thf(1358,plain,
! [SV48: produc190496183real_c,SV168: produc640052711real_c] :
( ( ( ! [SY621: produc190496183real_c] :
( SV168
!= ( produc1687028567real_c @ SV48 @ SY621 ) ) )
= $true )
| ( ( ~ ( ( SV48
!= ( produc876006723real_c @ SV168 ) )
| ~ ~ ! [SY621: produc190496183real_c] :
( SV168
!= ( produc1687028567real_c @ SV48 @ SY621 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1287]) ).
thf(1359,plain,
! [SV323: produc190496183real_c,SV171: produc190496183real_c,SV260: produc190496183real_c,SV51: produc190496183real_c] :
( ( ( ( SV51 != SV260 )
| ( SV171 != SV323 ) )
= $false )
| ( ( ( produc1687028567real_c @ SV51 @ SV171 )
= ( produc1687028567real_c @ SV260 @ SV323 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1289]) ).
thf(1360,plain,
! [SV324: hp_a_b_c,SV263: hp_a_b_c,SV174: hp_a_b_c,SV55: hp_a_b_c] :
( ( ( ( ( choice_a_b_c @ SV55 @ SV174 )
= ( choice_a_b_c @ SV263 @ SV324 ) )
| ~ ( ( SV55 != SV263 )
| ( SV174 != SV324 ) ) )
= $false )
| ( ( ~ ( ( ( choice_a_b_c @ SV55 @ SV174 )
!= ( choice_a_b_c @ SV263 @ SV324 ) )
| ~ ~ ( ( SV55 != SV263 )
| ( SV174 != SV324 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1290]) ).
thf(1361,plain,
! [SV56: set_Sum_sum_c_c,SV175: set_Sum_sum_c_c,SV264: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV264 @ SV175 )
= $false )
| ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV56 @ SV264 ) @ SV175 )
= $true )
| ( ( ord_le1772180283um_c_c @ SV56 @ SV175 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1291]) ).
thf(1362,plain,
! [SV177: hp_a_b_c,SV58: hp_a_b_c] :
( ( ( ~ ( hpsafe_a_b_c @ ( choice_a_b_c @ SV58 @ SV177 ) )
| ~ ~ ( ~ ( hpsafe_a_b_c @ SV58 )
| ~ ( hpsafe_a_b_c @ SV177 ) ) )
= $false )
| ( ( hpsafe_a_b_c @ ( choice_a_b_c @ SV58 @ SV177 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1292]) ).
thf(1363,plain,
! [SV177: hp_a_b_c,SV58: hp_a_b_c] :
( ( ( ~ ( hpsafe_a_b_c @ SV58 )
| ~ ( hpsafe_a_b_c @ SV177 ) )
= $true )
| ( ( ~ ( ~ ( hpsafe_a_b_c @ ( choice_a_b_c @ SV58 @ SV177 ) )
| ~ ~ ( ~ ( hpsafe_a_b_c @ SV58 )
| ~ ( hpsafe_a_b_c @ SV177 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1293]) ).
thf(1364,plain,
! [SV178: set_Sum_sum_c_c,SV59: set_Sum_sum_c_c,SV325: set_Sum_sum_c_c,SV266: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV266 @ SV325 ) )
= $true )
| ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV59 @ SV266 ) @ ( sup_su1349021703um_c_c @ SV178 @ SV325 ) )
= $true )
| ( ( ord_le1772180283um_c_c @ SV59 @ SV178 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1294]) ).
thf(1365,plain,
! [SV326: produc190496183real_c,SV267: produc190496183real_c,SV181: produc190496183real_c,SV62: produc190496183real_c] :
( ( ( ( ( produc1687028567real_c @ SV62 @ SV181 )
= ( produc1687028567real_c @ SV267 @ SV326 ) )
| ~ ( ( SV62 != SV267 )
| ( SV181 != SV326 ) ) )
= $false )
| ( ( ~ ( ( ( produc1687028567real_c @ SV62 @ SV181 )
!= ( produc1687028567real_c @ SV267 @ SV326 ) )
| ~ ~ ( ( SV62 != SV267 )
| ( SV181 != SV326 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1295]) ).
thf(1366,plain,
! [SV183: set_Sum_sum_c_c,SV268: set_Sum_sum_c_c,SV64: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV64 @ SV268 ) )
= $false )
| ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV64 @ SV183 ) @ SV268 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1296]) ).
thf(1367,plain,
! [SV64: set_Sum_sum_c_c,SV268: set_Sum_sum_c_c,SV183: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV183 @ SV268 ) )
= $false )
| ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV64 @ SV183 ) @ SV268 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1296]) ).
thf(1368,plain,
! [SV184: set_Sum_sum_c_c,SV269: set_Sum_sum_c_c,SV65: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV65 @ SV269 ) )
= $false )
| ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV65 @ SV184 ) @ SV269 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1297]) ).
thf(1369,plain,
! [SV65: set_Sum_sum_c_c,SV269: set_Sum_sum_c_c,SV184: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV184 @ SV269 ) )
= $false )
| ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV65 @ SV184 ) @ SV269 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1297]) ).
thf(1370,plain,
! [SV186: set_Pr754230471real_c,SV67: set_Pr754230471real_c,SV270: produc640052711real_c] :
( ( ( member346808080real_c @ SV270 @ SV67 )
= $false )
| ( ( member346808080real_c @ SV270 @ SV186 )
= $true )
| ( ( ord_le1988344935real_c @ SV67 @ SV186 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1299]) ).
thf(1371,plain,
! [SV327: set_Pr754230471real_c,SV187: set_Pr754230471real_c] :
( ( ( ( ord_le1988344935real_c @ SV187 @ SV327 )
| ! [SY759: produc640052711real_c] :
( ~ ( member346808080real_c @ SY759 @ SV187 )
| ( member346808080real_c @ SY759 @ SV327 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le1988344935real_c @ SV187 @ SV327 )
| ~ ! [SY759: produc640052711real_c] :
( ~ ( member346808080real_c @ SY759 @ SV187 )
| ( member346808080real_c @ SY759 @ SV327 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1300]) ).
thf(1372,plain,
! [SV70: set_Pr754230471real_c,SV189: set_Pr754230471real_c] :
( ( ( member346808080real_c @ ( sK12_SY643 @ SV189 @ SV70 ) @ SV70 )
= $true )
| ( ( ord_le1988344935real_c @ SV70 @ SV189 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1301]) ).
thf(1373,plain,
! [SV328: finite1398487019real_c,SV272: finite1398487019real_c,SV190: finite1398487019real_c,SV71: finite1398487019real_c] :
( ( ( ( ( produc394644079real_c @ SV71 @ SV190 )
= ( produc394644079real_c @ SV272 @ SV328 ) )
| ~ ( ( SV71 != SV272 )
| ( SV190 != SV328 ) ) )
= $false )
| ( ( ~ ( ( ( produc394644079real_c @ SV71 @ SV190 )
!= ( produc394644079real_c @ SV272 @ SV328 ) )
| ~ ~ ( ( SV71 != SV272 )
| ( SV190 != SV328 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1303]) ).
thf(1374,plain,
! [SV273: sum_sum_c_c > $o,SV191: set_Sum_sum_c_c,SV72: set_Sum_sum_c_c] :
( ( ( ~ ! [SY728: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY728 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
| ~ ( SV273 @ SY728 ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY728: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY728 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
| ~ ( SV273 @ SY728 ) )
| ~ ( ~ ! [SY729: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY729 @ SV72 )
| ~ ( SV273 @ SY729 ) )
| ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1304]) ).
thf(1375,plain,
! [SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV72: set_Sum_sum_c_c] :
( ( ( ~ ! [SY729: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY729 @ SV72 )
| ~ ( SV273 @ SY729 ) )
| ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY728: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY728 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
| ~ ( SV273 @ SY728 ) )
| ~ ( ~ ! [SY729: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY729 @ SV72 )
| ~ ( SV273 @ SY729 ) )
| ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1304]) ).
thf(1376,plain,
! [SV274: set_Sum_sum_c_c,SV192: set_Sum_sum_c_c,SV73: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ SV73 @ SV192 ) )
= $false )
| ( ( member_Sum_sum_c_c @ SV73 @ SV274 )
= $true )
| ( ( member_Sum_sum_c_c @ SV73 @ ( sup_su1349021703um_c_c @ SV192 @ SV274 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1305]) ).
thf(1377,plain,
! [SV193: set_Sum_sum_c_c,SV74: set_Sum_sum_c_c,SV329: set_Sum_sum_c_c,SV275: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV275 @ SV329 ) )
= $true )
| ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV74 @ SV275 ) @ ( sup_su1349021703um_c_c @ SV193 @ SV329 ) )
= $true )
| ( ( ord_le1772180283um_c_c @ SV74 @ SV193 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1306]) ).
thf(1378,plain,
! [SV76: set_Sum_sum_c_c,SV195: set_Sum_sum_c_c,SV276: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV276 @ SV195 )
= $false )
| ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV76 @ SV276 ) @ SV195 )
= $true )
| ( ( ord_le1772180283um_c_c @ SV76 @ SV195 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1308]) ).
thf(1379,plain,
! [SV330: produc190496183real_c,SV277: produc190496183real_c,SV197: produc190496183real_c,SV78: produc190496183real_c] :
( ( ( ( ( produc1687028567real_c @ SV78 @ SV197 )
= ( produc1687028567real_c @ SV277 @ SV330 ) )
| ~ ( ( SV78 != SV277 )
| ( SV197 != SV330 ) ) )
= $false )
| ( ( ~ ( ( ( produc1687028567real_c @ SV78 @ SV197 )
!= ( produc1687028567real_c @ SV277 @ SV330 ) )
| ~ ~ ( ( SV78 != SV277 )
| ( SV197 != SV330 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1310]) ).
thf(1380,plain,
! [SV331: set_Pr754230471real_c,SV199: set_Pr754230471real_c] :
( ( ( ( ord_le1988344935real_c @ SV199 @ SV331 )
| ! [SY760: produc640052711real_c] :
( ~ ( member346808080real_c @ SY760 @ SV199 )
| ( member346808080real_c @ SY760 @ SV331 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le1988344935real_c @ SV199 @ SV331 )
| ~ ! [SY760: produc640052711real_c] :
( ~ ( member346808080real_c @ SY760 @ SV199 )
| ( member346808080real_c @ SY760 @ SV331 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1311]) ).
thf(1381,plain,
! [SV202: produc640052711real_c,SV83: produc640052711real_c > $o] :
( ( ( SV83 @ ( produc1687028567real_c @ ( sK15_SY498 @ SV202 @ SV83 ) @ ( produc394644079real_c @ ( sK21_SY766 @ SV202 @ SV83 ) @ ( sK25_SY768 @ SV202 @ SV83 ) ) ) )
= $false )
| ( ( SV83 @ SV202 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1312]) ).
thf(1382,plain,
! [SV203: set_Sum_sum_c_c,SV84: set_Sum_sum_c_c,SV332: set_Sum_sum_c_c,SV282: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV282 @ SV332 ) )
= $true )
| ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV84 @ SV282 ) @ ( sup_su1349021703um_c_c @ SV203 @ SV332 ) )
= $true )
| ( ( ord_le1772180283um_c_c @ SV84 @ SV203 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1313]) ).
thf(1383,plain,
! [SV204: set_Pr754230471real_c,SV87: set_Pr754230471real_c,SV283: produc640052711real_c] :
( ( ( member346808080real_c @ SV283 @ SV87 )
= $false )
| ( ( member346808080real_c @ SV283 @ SV204 )
= $true )
| ( ( ord_le1988344935real_c @ SV87 @ SV204 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1315]) ).
thf(1384,plain,
! [SV88: set_Sum_sum_c_c,SV205: set_Sum_sum_c_c,SV333: produc190496183real_c,SV284: produc190496183real_c] :
( ( ( ~ ( denota1997846518gree_c @ SV284 @ SV333 @ SV205 ) )
= $true )
| ( ( denota1997846518gree_c @ SV284 @ SV333 @ SV88 )
= $true )
| ( ( ord_le1772180283um_c_c @ SV88 @ SV205 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1316]) ).
thf(1385,plain,
! [SV286: set_Pr754230471real_c,SV208: set_Pr754230471real_c,SV91: produc640052711real_c] :
( ( ( ~ ( member346808080real_c @ SV91 @ SV208 ) )
= $false )
| ( ( member346808080real_c @ SV91 @ SV286 )
= $true )
| ( ( member346808080real_c @ SV91 @ ( sup_su588839579real_c @ SV208 @ SV286 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1317]) ).
thf(1386,plain,
! [SV289: produc190496183real_c] :
( ( ( member346808080real_c @ ( produc1687028567real_c @ ( produc394644079real_c @ nu_22 @ nu_2 ) @ SV289 ) @ ( denota904684656_a_b_c @ j @ ( choice_a_b_c @ a @ b ) ) )
= $false )
| ( ( ~ ( denota1997846518gree_c @ ( produc394644079real_c @ mu3 @ mu2 ) @ SV289 @ ( sup_su1349021703um_c_c @ ( static_MBV_a_b_c @ ( choice_a_b_c @ a @ b ) ) @ v ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1319]) ).
thf(1387,plain,
! [SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c,SV94: set_Sum_sum_c_c] :
( ( ( ! [SY740: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY740 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
| ( SV290 @ SY740 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY740: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY740 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
| ( SV290 @ SY740 ) )
| ~ ~ ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) )
| ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1320]) ).
thf(1388,plain,
! [SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV94: set_Sum_sum_c_c] :
( ( ( ~ ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) )
| ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY740: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY740 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
| ( SV290 @ SY740 ) )
| ~ ~ ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) )
| ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1320]) ).
thf(1389,plain,
! [SV292: set_Sum_sum_c_c,SV213: set_Sum_sum_c_c,SV96: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV96 @ SV213 ) @ SV292 )
= $false )
| ( ( ~ ( ~ ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV96 @ SV213 ) @ SV292 )
| ~ ~ ( ~ ( ord_le1772180283um_c_c @ SV96 @ SV292 )
| ~ ( ord_le1772180283um_c_c @ SV213 @ SV292 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1321]) ).
thf(1390,plain,
! [SV213: set_Sum_sum_c_c,SV292: set_Sum_sum_c_c,SV96: set_Sum_sum_c_c] :
( ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV96 @ SV292 )
| ~ ( ord_le1772180283um_c_c @ SV213 @ SV292 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV96 @ SV213 ) @ SV292 )
| ~ ~ ( ~ ( ord_le1772180283um_c_c @ SV96 @ SV292 )
| ~ ( ord_le1772180283um_c_c @ SV213 @ SV292 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1321]) ).
thf(1391,plain,
! [SV293: set_Sum_sum_c_c,SV214: set_Sum_sum_c_c,SV97: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ SV97 @ SV214 ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV97 @ ( sup_su1349021703um_c_c @ SV293 @ SV214 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1322]) ).
thf(1392,plain,
! [SV294: set_Sum_sum_c_c,SV215: set_Sum_sum_c_c,SV98: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV98 @ SV215 ) @ SV294 )
= $false )
| ( ( ~ ( ~ ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV98 @ SV215 ) @ SV294 )
| ~ ~ ( ~ ( ord_le1772180283um_c_c @ SV98 @ SV294 )
| ~ ( ord_le1772180283um_c_c @ SV215 @ SV294 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1324]) ).
thf(1393,plain,
! [SV215: set_Sum_sum_c_c,SV294: set_Sum_sum_c_c,SV98: set_Sum_sum_c_c] :
( ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV98 @ SV294 )
| ~ ( ord_le1772180283um_c_c @ SV215 @ SV294 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV98 @ SV215 ) @ SV294 )
| ~ ~ ( ~ ( ord_le1772180283um_c_c @ SV98 @ SV294 )
| ~ ( ord_le1772180283um_c_c @ SV215 @ SV294 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1324]) ).
thf(1394,plain,
! [SV296: set_Pr754230471real_c,SV218: set_Pr754230471real_c,SV101: produc640052711real_c] :
( ( ( ~ ( member346808080real_c @ SV101 @ SV218 ) )
= $true )
| ( ( member346808080real_c @ SV101 @ ( sup_su588839579real_c @ SV296 @ SV218 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1325]) ).
thf(1395,plain,
! [SV298: set_Sum_sum_c_c,SV220: set_Sum_sum_c_c,SV103: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV103 @ SV220 ) @ SV298 )
= $false )
| ( ( ~ ( ~ ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV103 @ SV220 ) @ SV298 )
| ~ ~ ( ~ ( ord_le1772180283um_c_c @ SV103 @ SV298 )
| ~ ( ord_le1772180283um_c_c @ SV220 @ SV298 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1327]) ).
thf(1396,plain,
! [SV220: set_Sum_sum_c_c,SV298: set_Sum_sum_c_c,SV103: set_Sum_sum_c_c] :
( ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV103 @ SV298 )
| ~ ( ord_le1772180283um_c_c @ SV220 @ SV298 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV103 @ SV220 ) @ SV298 )
| ~ ~ ( ~ ( ord_le1772180283um_c_c @ SV103 @ SV298 )
| ~ ( ord_le1772180283um_c_c @ SV220 @ SV298 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1327]) ).
thf(1397,plain,
! [SV106: produc190496183real_c] :
( ( SV106
= ( produc394644079real_c @ ( sK5_SY549 @ SV106 ) @ ( sK22_SY743 @ SV106 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1329]) ).
thf(1398,plain,
! [SV107: set_Sum_sum_c_c > set_Sum_sum_c_c > set_Sum_sum_c_c,SV223: set_Sum_sum_c_c,SV300: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ ( sK23_SY553 @ SV300 @ SV223 @ SV107 ) @ ( SV107 @ ( sK23_SY553 @ SV300 @ SV223 @ SV107 ) @ ( sK26_SY769 @ SV107 @ SV223 @ SV300 ) ) )
= $false )
| ( ( ~ ! [SY555: set_Sum_sum_c_c,SY556: set_Sum_sum_c_c] : ( ord_le1772180283um_c_c @ SY556 @ ( SV107 @ SY555 @ SY556 ) )
| ~ ! [SY557: set_Sum_sum_c_c,SY558: set_Sum_sum_c_c,SY559: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SY558 @ SY557 )
| ~ ( ord_le1772180283um_c_c @ SY559 @ SY557 )
| ( ord_le1772180283um_c_c @ ( SV107 @ SY558 @ SY559 ) @ SY557 ) )
| ( ( sup_su1349021703um_c_c @ SV223 @ SV300 )
= ( SV107 @ SV223 @ SV300 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1330]) ).
thf(1399,plain,
! [SV108: set_Sum_sum_c_c,SV224: set_Sum_sum_c_c,SV301: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV301 @ SV224 )
= $false )
| ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV108 @ SV301 ) @ SV224 )
= $true )
| ( ( ord_le1772180283um_c_c @ SV108 @ SV224 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1331]) ).
thf(1400,plain,
! [SV111: set_Sum_sum_c_c,SV227: set_Sum_sum_c_c,SV304: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV304 @ SV227 )
= $false )
| ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV111 @ SV304 ) @ SV227 )
= $true )
| ( ( ord_le1772180283um_c_c @ SV111 @ SV227 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1332]) ).
thf(1401,plain,
! [SV230: set_Sum_sum_c_c,SV306: set_Sum_sum_c_c,SV114: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ ( sK27_SY751 @ SV114 @ SV306 @ SV230 ) @ SV230 )
| ! [SY770: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SY770 @ SV306 )
| ( SV114
!= ( sup_su1349021703um_c_c @ ( sK27_SY751 @ SV114 @ SV306 @ SV230 ) @ SY770 ) ) ) )
= $false )
| ( ( ord_le1772180283um_c_c @ SV114 @ ( sup_su1349021703um_c_c @ SV230 @ SV306 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1333]) ).
thf(1402,plain,
! [SV116: produc640052711real_c] :
( ( SV116
= ( produc1687028567real_c @ ( sK6_SY578 @ SV116 ) @ ( sK24_SY754 @ SV116 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1335]) ).
thf(1403,plain,
! [SV308: set_Sum_sum_c_c,SV336: set_Sum_sum_c_c,SV232: produc190496183real_c,SV117: produc190496183real_c] :
( ( ( ~ ( denota1997846518gree_c @ SV117 @ SV232 @ SV336 ) )
= $true )
| ( ( denota1997846518gree_c @ SV117 @ SV232 @ ( sup_su1349021703um_c_c @ SV308 @ SV336 ) )
= $true )
| ( ( denota1997846518gree_c @ SV117 @ SV232 @ SV308 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1336]) ).
thf(1404,plain,
! [SV337: finite1398487019real_c,SV233: finite1398487019real_c,SV309: finite1398487019real_c,SV118: finite1398487019real_c] :
( ( ( ( SV118 != SV309 )
| ( SV233 != SV337 ) )
= $false )
| ( ( ( produc394644079real_c @ SV118 @ SV233 )
= ( produc394644079real_c @ SV309 @ SV337 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1337]) ).
thf(1405,plain,
! [SV236: produc640052711real_c,SV121: produc190496183real_c] :
( ( ( ( SV121
!= ( produc415593093real_c @ SV236 ) )
| ~ ~ ! [SY715: produc190496183real_c] :
( SV236
!= ( produc1687028567real_c @ SY715 @ SV121 ) ) )
= $false )
| ( ( SV121
= ( produc415593093real_c @ SV236 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1338]) ).
thf(1406,plain,
! [SV121: produc190496183real_c,SV236: produc640052711real_c] :
( ( ( ! [SY715: produc190496183real_c] :
( SV236
!= ( produc1687028567real_c @ SY715 @ SV121 ) ) )
= $true )
| ( ( ~ ( ( SV121
!= ( produc415593093real_c @ SV236 ) )
| ~ ~ ! [SY715: produc190496183real_c] :
( SV236
!= ( produc1687028567real_c @ SY715 @ SV121 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1339]) ).
thf(1407,plain,
! [SV237: produc190496183real_c,SV122: finite1398487019real_c] :
( ( ( ( SV122
!= ( produc2010422875real_c @ SV237 ) )
| ~ ~ ! [SY716: finite1398487019real_c] :
( SV237
!= ( produc394644079real_c @ SV122 @ SY716 ) ) )
= $false )
| ( ( SV122
= ( produc2010422875real_c @ SV237 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1340]) ).
thf(1408,plain,
! [SV122: finite1398487019real_c,SV237: produc190496183real_c] :
( ( ( ! [SY716: finite1398487019real_c] :
( SV237
!= ( produc394644079real_c @ SV122 @ SY716 ) ) )
= $true )
| ( ( ~ ( ( SV122
!= ( produc2010422875real_c @ SV237 ) )
| ~ ~ ! [SY716: finite1398487019real_c] :
( SV237
!= ( produc394644079real_c @ SV122 @ SY716 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1341]) ).
thf(1409,plain,
! [SV123: set_Sum_sum_c_c,SV238: set_Sum_sum_c_c,SV338: produc190496183real_c,SV312: produc190496183real_c] :
( ( ( ~ ( denota1997846518gree_c @ SV312 @ SV338 @ SV238 ) )
= $true )
| ( ( denota1997846518gree_c @ SV312 @ SV338 @ SV123 )
= $true )
| ( ( ord_le1772180283um_c_c @ SV123 @ SV238 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1342]) ).
thf(1410,plain,
! [SV339: finite1398487019real_c,SV313: finite1398487019real_c,SV239: finite1398487019real_c,SV124: finite1398487019real_c] :
( ( ( ( ( produc394644079real_c @ SV124 @ SV239 )
= ( produc394644079real_c @ SV313 @ SV339 ) )
| ~ ( ( SV124 != SV313 )
| ( SV239 != SV339 ) ) )
= $false )
| ( ( ~ ( ( ( produc394644079real_c @ SV124 @ SV239 )
!= ( produc394644079real_c @ SV313 @ SV339 ) )
| ~ ~ ( ( SV124 != SV313 )
| ( SV239 != SV339 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1343]) ).
thf(1411,plain,
! [SV240: set_Pr754230471real_c,SV125: set_Pr754230471real_c,SV1: produc640052711real_c] :
( ( ( ~ ( member346808080real_c @ SV1 @ ( sup_su588839579real_c @ SV125 @ SV240 ) )
| ~ ( ( member346808080real_c @ SV1 @ SV125 )
| ( member346808080real_c @ SV1 @ SV240 ) ) )
= $false )
| ( ( member346808080real_c @ SV1 @ ( sup_su588839579real_c @ SV125 @ SV240 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1344]) ).
thf(1412,plain,
! [SV240: set_Pr754230471real_c,SV125: set_Pr754230471real_c,SV1: produc640052711real_c] :
( ( ( member346808080real_c @ SV1 @ SV125 )
= $false )
| ( ( ~ ( ~ ( member346808080real_c @ SV1 @ ( sup_su588839579real_c @ SV125 @ SV240 ) )
| ~ ( ( member346808080real_c @ SV1 @ SV125 )
| ( member346808080real_c @ SV1 @ SV240 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1345]) ).
thf(1413,plain,
! [SV125: set_Pr754230471real_c,SV240: set_Pr754230471real_c,SV1: produc640052711real_c] :
( ( ( member346808080real_c @ SV1 @ SV240 )
= $false )
| ( ( ~ ( ~ ( member346808080real_c @ SV1 @ ( sup_su588839579real_c @ SV125 @ SV240 ) )
| ~ ( ( member346808080real_c @ SV1 @ SV125 )
| ( member346808080real_c @ SV1 @ SV240 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1345]) ).
thf(1414,plain,
! [SV241: set_Sum_sum_c_c,SV126: set_Sum_sum_c_c,SV2: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ SV2 @ ( sup_su1349021703um_c_c @ SV126 @ SV241 ) )
| ~ ( ( member_Sum_sum_c_c @ SV2 @ SV126 )
| ( member_Sum_sum_c_c @ SV2 @ SV241 ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ SV2 @ ( sup_su1349021703um_c_c @ SV126 @ SV241 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1346]) ).
thf(1415,plain,
! [SV241: set_Sum_sum_c_c,SV126: set_Sum_sum_c_c,SV2: sum_sum_c_c] :
( ( ( member_Sum_sum_c_c @ SV2 @ SV126 )
= $false )
| ( ( ~ ( ~ ( member_Sum_sum_c_c @ SV2 @ ( sup_su1349021703um_c_c @ SV126 @ SV241 ) )
| ~ ( ( member_Sum_sum_c_c @ SV2 @ SV126 )
| ( member_Sum_sum_c_c @ SV2 @ SV241 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1347]) ).
thf(1416,plain,
! [SV126: set_Sum_sum_c_c,SV241: set_Sum_sum_c_c,SV2: sum_sum_c_c] :
( ( ( member_Sum_sum_c_c @ SV2 @ SV241 )
= $false )
| ( ( ~ ( ~ ( member_Sum_sum_c_c @ SV2 @ ( sup_su1349021703um_c_c @ SV126 @ SV241 ) )
| ~ ( ( member_Sum_sum_c_c @ SV2 @ SV126 )
| ( member_Sum_sum_c_c @ SV2 @ SV241 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1347]) ).
thf(1417,plain,
! [SV130: produc640052711real_c > $o,SV8: produc640052711real_c] :
( ( ( ~ ( member346808080real_c @ SV8 @ ( collec1126017874real_c @ SV130 ) ) )
= $false )
| ( ( member346808080real_c @ SV8 @ ( collec1126017874real_c @ SV130 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1348]) ).
thf(1418,plain,
! [SV8: produc640052711real_c,SV130: produc640052711real_c > $o] :
( ( ( ~ ( SV130 @ SV8 ) )
= $false )
| ( ( member346808080real_c @ SV8 @ ( collec1126017874real_c @ SV130 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1348]) ).
thf(1419,plain,
! [SV130: produc640052711real_c > $o,SV8: produc640052711real_c] :
( ( ( ~ ( member346808080real_c @ SV8 @ ( collec1126017874real_c @ SV130 ) ) )
= $false )
| ( ( SV130 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1349]) ).
thf(1420,plain,
! [SV8: produc640052711real_c,SV130: produc640052711real_c > $o] :
( ( ( ~ ( SV130 @ SV8 ) )
= $false )
| ( ( SV130 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1349]) ).
thf(1421,plain,
! [SV314: set_Sum_sum_c_c,SV131: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV131 @ SV314 )
= $false )
| ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV131 @ SV314 )
| ( ( sup_su1349021703um_c_c @ SV131 @ SV314 )
!= SV314 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1350]) ).
thf(1422,plain,
! [SV314: set_Sum_sum_c_c,SV131: set_Sum_sum_c_c] :
( ( ( ( sup_su1349021703um_c_c @ SV131 @ SV314 )
= SV314 )
= $false )
| ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV131 @ SV314 )
| ( ( sup_su1349021703um_c_c @ SV131 @ SV314 )
!= SV314 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1350]) ).
thf(1423,plain,
! [SV315: set_Sum_sum_c_c,SV132: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV132 @ SV315 )
= $false )
| ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV132 @ SV315 )
| ( ( sup_su1349021703um_c_c @ SV315 @ SV132 )
!= SV315 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1351]) ).
thf(1424,plain,
! [SV132: set_Sum_sum_c_c,SV315: set_Sum_sum_c_c] :
( ( ( ( sup_su1349021703um_c_c @ SV315 @ SV132 )
= SV315 )
= $false )
| ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV132 @ SV315 )
| ( ( sup_su1349021703um_c_c @ SV315 @ SV132 )
!= SV315 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1351]) ).
thf(1425,plain,
! [SV316: set_Sum_sum_c_c,SV135: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV135 @ SV316 )
= $false )
| ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV135 @ SV316 )
| ( SV316
!= ( sup_su1349021703um_c_c @ SV316 @ SV135 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1352]) ).
thf(1426,plain,
! [SV135: set_Sum_sum_c_c,SV316: set_Sum_sum_c_c] :
( ( ( SV316
= ( sup_su1349021703um_c_c @ SV316 @ SV135 ) )
= $false )
| ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV135 @ SV316 )
| ( SV316
!= ( sup_su1349021703um_c_c @ SV316 @ SV135 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1352]) ).
thf(1427,plain,
! [SV317: set_Sum_sum_c_c,SV136: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV136 @ SV317 )
= $false )
| ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV136 @ SV317 )
| ( ( sup_su1349021703um_c_c @ SV136 @ SV317 )
!= SV317 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1353]) ).
thf(1428,plain,
! [SV317: set_Sum_sum_c_c,SV136: set_Sum_sum_c_c] :
( ( ( ( sup_su1349021703um_c_c @ SV136 @ SV317 )
= SV317 )
= $false )
| ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV136 @ SV317 )
| ( ( sup_su1349021703um_c_c @ SV136 @ SV317 )
!= SV317 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1353]) ).
thf(1429,plain,
! [SV318: set_Sum_sum_c_c,SV141: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV141 @ SV318 )
= $false )
| ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV141 @ SV318 )
| ( ( sup_su1349021703um_c_c @ SV141 @ SV318 )
!= SV318 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1354]) ).
thf(1430,plain,
! [SV318: set_Sum_sum_c_c,SV141: set_Sum_sum_c_c] :
( ( ( ( sup_su1349021703um_c_c @ SV141 @ SV318 )
= SV318 )
= $false )
| ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV141 @ SV318 )
| ( ( sup_su1349021703um_c_c @ SV141 @ SV318 )
!= SV318 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1354]) ).
thf(1431,plain,
! [SV167: produc190496183real_c,SV47: finite1398487019real_c] :
( ( ( SV47
!= ( produc314122909real_c @ SV167 ) )
= $false )
| ( ( SV47
= ( produc314122909real_c @ SV167 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1355]) ).
thf(1432,plain,
! [SV47: finite1398487019real_c,SV167: produc190496183real_c] :
( ( ( ~ ~ ! [SY620: finite1398487019real_c] :
( SV167
!= ( produc394644079real_c @ SY620 @ SV47 ) ) )
= $false )
| ( ( SV47
= ( produc314122909real_c @ SV167 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1355]) ).
thf(1433,plain,
! [SV47: finite1398487019real_c,SV340: finite1398487019real_c,SV167: produc190496183real_c] :
( ( ( SV167
!= ( produc394644079real_c @ SV340 @ SV47 ) )
= $true )
| ( ( ~ ( ( SV47
!= ( produc314122909real_c @ SV167 ) )
| ~ ~ ! [SY620: finite1398487019real_c] :
( SV167
!= ( produc394644079real_c @ SY620 @ SV47 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1356]) ).
thf(1434,plain,
! [SV168: produc640052711real_c,SV48: produc190496183real_c] :
( ( ( SV48
!= ( produc876006723real_c @ SV168 ) )
= $false )
| ( ( SV48
= ( produc876006723real_c @ SV168 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1357]) ).
thf(1435,plain,
! [SV48: produc190496183real_c,SV168: produc640052711real_c] :
( ( ( ~ ~ ! [SY621: produc190496183real_c] :
( SV168
!= ( produc1687028567real_c @ SV48 @ SY621 ) ) )
= $false )
| ( ( SV48
= ( produc876006723real_c @ SV168 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1357]) ).
thf(1436,plain,
! [SV341: produc190496183real_c,SV48: produc190496183real_c,SV168: produc640052711real_c] :
( ( ( SV168
!= ( produc1687028567real_c @ SV48 @ SV341 ) )
= $true )
| ( ( ~ ( ( SV48
!= ( produc876006723real_c @ SV168 ) )
| ~ ~ ! [SY621: produc190496183real_c] :
( SV168
!= ( produc1687028567real_c @ SV48 @ SY621 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1358]) ).
thf(1437,plain,
! [SV323: produc190496183real_c,SV171: produc190496183real_c,SV260: produc190496183real_c,SV51: produc190496183real_c] :
( ( ( SV51 != SV260 )
= $false )
| ( ( ( produc1687028567real_c @ SV51 @ SV171 )
= ( produc1687028567real_c @ SV260 @ SV323 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1359]) ).
thf(1438,plain,
! [SV260: produc190496183real_c,SV51: produc190496183real_c,SV323: produc190496183real_c,SV171: produc190496183real_c] :
( ( ( SV171 != SV323 )
= $false )
| ( ( ( produc1687028567real_c @ SV51 @ SV171 )
= ( produc1687028567real_c @ SV260 @ SV323 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1359]) ).
thf(1439,plain,
! [SV324: hp_a_b_c,SV263: hp_a_b_c,SV174: hp_a_b_c,SV55: hp_a_b_c] :
( ( ( ( choice_a_b_c @ SV55 @ SV174 )
= ( choice_a_b_c @ SV263 @ SV324 ) )
= $false )
| ( ( ~ ( ( ( choice_a_b_c @ SV55 @ SV174 )
!= ( choice_a_b_c @ SV263 @ SV324 ) )
| ~ ~ ( ( SV55 != SV263 )
| ( SV174 != SV324 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1360]) ).
thf(1440,plain,
! [SV324: hp_a_b_c,SV174: hp_a_b_c,SV263: hp_a_b_c,SV55: hp_a_b_c] :
( ( ( ~ ( ( SV55 != SV263 )
| ( SV174 != SV324 ) ) )
= $false )
| ( ( ~ ( ( ( choice_a_b_c @ SV55 @ SV174 )
!= ( choice_a_b_c @ SV263 @ SV324 ) )
| ~ ~ ( ( SV55 != SV263 )
| ( SV174 != SV324 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1360]) ).
thf(1441,plain,
! [SV177: hp_a_b_c,SV58: hp_a_b_c] :
( ( ( ~ ( hpsafe_a_b_c @ ( choice_a_b_c @ SV58 @ SV177 ) ) )
= $false )
| ( ( hpsafe_a_b_c @ ( choice_a_b_c @ SV58 @ SV177 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1362]) ).
thf(1442,plain,
! [SV177: hp_a_b_c,SV58: hp_a_b_c] :
( ( ( ~ ~ ( ~ ( hpsafe_a_b_c @ SV58 )
| ~ ( hpsafe_a_b_c @ SV177 ) ) )
= $false )
| ( ( hpsafe_a_b_c @ ( choice_a_b_c @ SV58 @ SV177 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1362]) ).
thf(1443,plain,
! [SV177: hp_a_b_c,SV58: hp_a_b_c] :
( ( ( ~ ( hpsafe_a_b_c @ SV58 ) )
= $true )
| ( ( ~ ( hpsafe_a_b_c @ SV177 ) )
= $true )
| ( ( ~ ( ~ ( hpsafe_a_b_c @ ( choice_a_b_c @ SV58 @ SV177 ) )
| ~ ~ ( ~ ( hpsafe_a_b_c @ SV58 )
| ~ ( hpsafe_a_b_c @ SV177 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1363]) ).
thf(1444,plain,
! [SV178: set_Sum_sum_c_c,SV59: set_Sum_sum_c_c,SV325: set_Sum_sum_c_c,SV266: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV266 @ SV325 )
= $false )
| ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV59 @ SV266 ) @ ( sup_su1349021703um_c_c @ SV178 @ SV325 ) )
= $true )
| ( ( ord_le1772180283um_c_c @ SV59 @ SV178 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1364]) ).
thf(1445,plain,
! [SV326: produc190496183real_c,SV267: produc190496183real_c,SV181: produc190496183real_c,SV62: produc190496183real_c] :
( ( ( ( produc1687028567real_c @ SV62 @ SV181 )
= ( produc1687028567real_c @ SV267 @ SV326 ) )
= $false )
| ( ( ~ ( ( ( produc1687028567real_c @ SV62 @ SV181 )
!= ( produc1687028567real_c @ SV267 @ SV326 ) )
| ~ ~ ( ( SV62 != SV267 )
| ( SV181 != SV326 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1365]) ).
thf(1446,plain,
! [SV326: produc190496183real_c,SV181: produc190496183real_c,SV267: produc190496183real_c,SV62: produc190496183real_c] :
( ( ( ~ ( ( SV62 != SV267 )
| ( SV181 != SV326 ) ) )
= $false )
| ( ( ~ ( ( ( produc1687028567real_c @ SV62 @ SV181 )
!= ( produc1687028567real_c @ SV267 @ SV326 ) )
| ~ ~ ( ( SV62 != SV267 )
| ( SV181 != SV326 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1365]) ).
thf(1447,plain,
! [SV183: set_Sum_sum_c_c,SV268: set_Sum_sum_c_c,SV64: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV64 @ SV268 )
= $true )
| ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV64 @ SV183 ) @ SV268 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1366]) ).
thf(1448,plain,
! [SV64: set_Sum_sum_c_c,SV268: set_Sum_sum_c_c,SV183: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV183 @ SV268 )
= $true )
| ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV64 @ SV183 ) @ SV268 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1367]) ).
thf(1449,plain,
! [SV184: set_Sum_sum_c_c,SV269: set_Sum_sum_c_c,SV65: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV65 @ SV269 )
= $true )
| ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV65 @ SV184 ) @ SV269 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1368]) ).
thf(1450,plain,
! [SV65: set_Sum_sum_c_c,SV269: set_Sum_sum_c_c,SV184: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV184 @ SV269 )
= $true )
| ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV65 @ SV184 ) @ SV269 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1369]) ).
thf(1451,plain,
! [SV327: set_Pr754230471real_c,SV187: set_Pr754230471real_c] :
( ( ( ord_le1988344935real_c @ SV187 @ SV327 )
= $false )
| ( ( ~ ( ~ ( ord_le1988344935real_c @ SV187 @ SV327 )
| ~ ! [SY759: produc640052711real_c] :
( ~ ( member346808080real_c @ SY759 @ SV187 )
| ( member346808080real_c @ SY759 @ SV327 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1371]) ).
thf(1452,plain,
! [SV327: set_Pr754230471real_c,SV187: set_Pr754230471real_c] :
( ( ( ! [SY759: produc640052711real_c] :
( ~ ( member346808080real_c @ SY759 @ SV187 )
| ( member346808080real_c @ SY759 @ SV327 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le1988344935real_c @ SV187 @ SV327 )
| ~ ! [SY759: produc640052711real_c] :
( ~ ( member346808080real_c @ SY759 @ SV187 )
| ( member346808080real_c @ SY759 @ SV327 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1371]) ).
thf(1453,plain,
! [SV328: finite1398487019real_c,SV272: finite1398487019real_c,SV190: finite1398487019real_c,SV71: finite1398487019real_c] :
( ( ( ( produc394644079real_c @ SV71 @ SV190 )
= ( produc394644079real_c @ SV272 @ SV328 ) )
= $false )
| ( ( ~ ( ( ( produc394644079real_c @ SV71 @ SV190 )
!= ( produc394644079real_c @ SV272 @ SV328 ) )
| ~ ~ ( ( SV71 != SV272 )
| ( SV190 != SV328 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1373]) ).
thf(1454,plain,
! [SV328: finite1398487019real_c,SV190: finite1398487019real_c,SV272: finite1398487019real_c,SV71: finite1398487019real_c] :
( ( ( ~ ( ( SV71 != SV272 )
| ( SV190 != SV328 ) ) )
= $false )
| ( ( ~ ( ( ( produc394644079real_c @ SV71 @ SV190 )
!= ( produc394644079real_c @ SV272 @ SV328 ) )
| ~ ~ ( ( SV71 != SV272 )
| ( SV190 != SV328 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1373]) ).
thf(1455,plain,
! [SV273: sum_sum_c_c > $o,SV191: set_Sum_sum_c_c,SV72: set_Sum_sum_c_c] :
( ( ( ! [SY728: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY728 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
| ~ ( SV273 @ SY728 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY728: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY728 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
| ~ ( SV273 @ SY728 ) )
| ~ ( ~ ! [SY729: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY729 @ SV72 )
| ~ ( SV273 @ SY729 ) )
| ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1374]) ).
thf(1456,plain,
! [SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV72: set_Sum_sum_c_c] :
( ( ( ~ ! [SY729: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY729 @ SV72 )
| ~ ( SV273 @ SY729 ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY728: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY728 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
| ~ ( SV273 @ SY728 ) )
| ~ ( ~ ! [SY729: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY729 @ SV72 )
| ~ ( SV273 @ SY729 ) )
| ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1375]) ).
thf(1457,plain,
! [SV72: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV191: set_Sum_sum_c_c] :
( ( ( ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY728: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY728 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
| ~ ( SV273 @ SY728 ) )
| ~ ( ~ ! [SY729: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY729 @ SV72 )
| ~ ( SV273 @ SY729 ) )
| ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1375]) ).
thf(1458,plain,
! [SV274: set_Sum_sum_c_c,SV192: set_Sum_sum_c_c,SV73: sum_sum_c_c] :
( ( ( member_Sum_sum_c_c @ SV73 @ SV192 )
= $true )
| ( ( member_Sum_sum_c_c @ SV73 @ SV274 )
= $true )
| ( ( member_Sum_sum_c_c @ SV73 @ ( sup_su1349021703um_c_c @ SV192 @ SV274 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1376]) ).
thf(1459,plain,
! [SV193: set_Sum_sum_c_c,SV74: set_Sum_sum_c_c,SV329: set_Sum_sum_c_c,SV275: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV275 @ SV329 )
= $false )
| ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV74 @ SV275 ) @ ( sup_su1349021703um_c_c @ SV193 @ SV329 ) )
= $true )
| ( ( ord_le1772180283um_c_c @ SV74 @ SV193 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1377]) ).
thf(1460,plain,
! [SV330: produc190496183real_c,SV277: produc190496183real_c,SV197: produc190496183real_c,SV78: produc190496183real_c] :
( ( ( ( produc1687028567real_c @ SV78 @ SV197 )
= ( produc1687028567real_c @ SV277 @ SV330 ) )
= $false )
| ( ( ~ ( ( ( produc1687028567real_c @ SV78 @ SV197 )
!= ( produc1687028567real_c @ SV277 @ SV330 ) )
| ~ ~ ( ( SV78 != SV277 )
| ( SV197 != SV330 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1379]) ).
thf(1461,plain,
! [SV330: produc190496183real_c,SV197: produc190496183real_c,SV277: produc190496183real_c,SV78: produc190496183real_c] :
( ( ( ~ ( ( SV78 != SV277 )
| ( SV197 != SV330 ) ) )
= $false )
| ( ( ~ ( ( ( produc1687028567real_c @ SV78 @ SV197 )
!= ( produc1687028567real_c @ SV277 @ SV330 ) )
| ~ ~ ( ( SV78 != SV277 )
| ( SV197 != SV330 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1379]) ).
thf(1462,plain,
! [SV331: set_Pr754230471real_c,SV199: set_Pr754230471real_c] :
( ( ( ord_le1988344935real_c @ SV199 @ SV331 )
= $false )
| ( ( ~ ( ~ ( ord_le1988344935real_c @ SV199 @ SV331 )
| ~ ! [SY760: produc640052711real_c] :
( ~ ( member346808080real_c @ SY760 @ SV199 )
| ( member346808080real_c @ SY760 @ SV331 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1380]) ).
thf(1463,plain,
! [SV331: set_Pr754230471real_c,SV199: set_Pr754230471real_c] :
( ( ( ! [SY760: produc640052711real_c] :
( ~ ( member346808080real_c @ SY760 @ SV199 )
| ( member346808080real_c @ SY760 @ SV331 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le1988344935real_c @ SV199 @ SV331 )
| ~ ! [SY760: produc640052711real_c] :
( ~ ( member346808080real_c @ SY760 @ SV199 )
| ( member346808080real_c @ SY760 @ SV331 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1380]) ).
thf(1464,plain,
! [SV203: set_Sum_sum_c_c,SV84: set_Sum_sum_c_c,SV332: set_Sum_sum_c_c,SV282: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV282 @ SV332 )
= $false )
| ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV84 @ SV282 ) @ ( sup_su1349021703um_c_c @ SV203 @ SV332 ) )
= $true )
| ( ( ord_le1772180283um_c_c @ SV84 @ SV203 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1382]) ).
thf(1465,plain,
! [SV88: set_Sum_sum_c_c,SV205: set_Sum_sum_c_c,SV333: produc190496183real_c,SV284: produc190496183real_c] :
( ( ( denota1997846518gree_c @ SV284 @ SV333 @ SV205 )
= $false )
| ( ( denota1997846518gree_c @ SV284 @ SV333 @ SV88 )
= $true )
| ( ( ord_le1772180283um_c_c @ SV88 @ SV205 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1384]) ).
thf(1466,plain,
! [SV286: set_Pr754230471real_c,SV208: set_Pr754230471real_c,SV91: produc640052711real_c] :
( ( ( member346808080real_c @ SV91 @ SV208 )
= $true )
| ( ( member346808080real_c @ SV91 @ SV286 )
= $true )
| ( ( member346808080real_c @ SV91 @ ( sup_su588839579real_c @ SV208 @ SV286 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1385]) ).
thf(1467,plain,
! [SV289: produc190496183real_c] :
( ( ( denota1997846518gree_c @ ( produc394644079real_c @ mu3 @ mu2 ) @ SV289 @ ( sup_su1349021703um_c_c @ ( static_MBV_a_b_c @ ( choice_a_b_c @ a @ b ) ) @ v ) )
= $false )
| ( ( member346808080real_c @ ( produc1687028567real_c @ ( produc394644079real_c @ nu_22 @ nu_2 ) @ SV289 ) @ ( denota904684656_a_b_c @ j @ ( choice_a_b_c @ a @ b ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1386]) ).
thf(1468,plain,
! [SV94: set_Sum_sum_c_c,SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o] :
( ( ( ~ ( member_Sum_sum_c_c @ ( sK28_SY740 @ SV290 @ SV211 @ SV94 ) @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
| ( SV290 @ ( sK28_SY740 @ SV290 @ SV211 @ SV94 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY740: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY740 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
| ( SV290 @ SY740 ) )
| ~ ~ ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) )
| ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1387]) ).
thf(1469,plain,
! [SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV94: set_Sum_sum_c_c] :
( ( ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) )
| ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY740: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY740 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
| ( SV290 @ SY740 ) )
| ~ ~ ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) )
| ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1388]) ).
thf(1470,plain,
! [SV292: set_Sum_sum_c_c,SV213: set_Sum_sum_c_c,SV96: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV96 @ SV213 ) @ SV292 )
| ~ ~ ( ~ ( ord_le1772180283um_c_c @ SV96 @ SV292 )
| ~ ( ord_le1772180283um_c_c @ SV213 @ SV292 ) ) )
= $false )
| ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV96 @ SV213 ) @ SV292 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1389]) ).
thf(1471,plain,
! [SV213: set_Sum_sum_c_c,SV292: set_Sum_sum_c_c,SV96: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV96 @ SV292 )
| ~ ( ord_le1772180283um_c_c @ SV213 @ SV292 ) )
= $true )
| ( ( ~ ( ~ ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV96 @ SV213 ) @ SV292 )
| ~ ~ ( ~ ( ord_le1772180283um_c_c @ SV96 @ SV292 )
| ~ ( ord_le1772180283um_c_c @ SV213 @ SV292 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1390]) ).
thf(1472,plain,
! [SV293: set_Sum_sum_c_c,SV214: set_Sum_sum_c_c,SV97: sum_sum_c_c] :
( ( ( member_Sum_sum_c_c @ SV97 @ SV214 )
= $false )
| ( ( member_Sum_sum_c_c @ SV97 @ ( sup_su1349021703um_c_c @ SV293 @ SV214 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1391]) ).
thf(1473,plain,
! [SV294: set_Sum_sum_c_c,SV215: set_Sum_sum_c_c,SV98: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV98 @ SV215 ) @ SV294 )
| ~ ~ ( ~ ( ord_le1772180283um_c_c @ SV98 @ SV294 )
| ~ ( ord_le1772180283um_c_c @ SV215 @ SV294 ) ) )
= $false )
| ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV98 @ SV215 ) @ SV294 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1392]) ).
thf(1474,plain,
! [SV215: set_Sum_sum_c_c,SV294: set_Sum_sum_c_c,SV98: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV98 @ SV294 )
| ~ ( ord_le1772180283um_c_c @ SV215 @ SV294 ) )
= $true )
| ( ( ~ ( ~ ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV98 @ SV215 ) @ SV294 )
| ~ ~ ( ~ ( ord_le1772180283um_c_c @ SV98 @ SV294 )
| ~ ( ord_le1772180283um_c_c @ SV215 @ SV294 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1393]) ).
thf(1475,plain,
! [SV296: set_Pr754230471real_c,SV218: set_Pr754230471real_c,SV101: produc640052711real_c] :
( ( ( member346808080real_c @ SV101 @ SV218 )
= $false )
| ( ( member346808080real_c @ SV101 @ ( sup_su588839579real_c @ SV296 @ SV218 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1394]) ).
thf(1476,plain,
! [SV298: set_Sum_sum_c_c,SV220: set_Sum_sum_c_c,SV103: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV103 @ SV220 ) @ SV298 )
| ~ ~ ( ~ ( ord_le1772180283um_c_c @ SV103 @ SV298 )
| ~ ( ord_le1772180283um_c_c @ SV220 @ SV298 ) ) )
= $false )
| ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV103 @ SV220 ) @ SV298 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1395]) ).
thf(1477,plain,
! [SV220: set_Sum_sum_c_c,SV298: set_Sum_sum_c_c,SV103: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV103 @ SV298 )
| ~ ( ord_le1772180283um_c_c @ SV220 @ SV298 ) )
= $true )
| ( ( ~ ( ~ ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV103 @ SV220 ) @ SV298 )
| ~ ~ ( ~ ( ord_le1772180283um_c_c @ SV103 @ SV298 )
| ~ ( ord_le1772180283um_c_c @ SV220 @ SV298 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1396]) ).
thf(1478,plain,
! [SV300: set_Sum_sum_c_c,SV223: set_Sum_sum_c_c,SV107: set_Sum_sum_c_c > set_Sum_sum_c_c > set_Sum_sum_c_c] :
( ( ( ~ ! [SY555: set_Sum_sum_c_c,SY556: set_Sum_sum_c_c] : ( ord_le1772180283um_c_c @ SY556 @ ( SV107 @ SY555 @ SY556 ) ) )
= $true )
| ( ( ~ ! [SY557: set_Sum_sum_c_c,SY558: set_Sum_sum_c_c,SY559: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SY558 @ SY557 )
| ~ ( ord_le1772180283um_c_c @ SY559 @ SY557 )
| ( ord_le1772180283um_c_c @ ( SV107 @ SY558 @ SY559 ) @ SY557 ) )
| ( ( sup_su1349021703um_c_c @ SV223 @ SV300 )
= ( SV107 @ SV223 @ SV300 ) ) )
= $true )
| ( ( ord_le1772180283um_c_c @ ( sK23_SY553 @ SV300 @ SV223 @ SV107 ) @ ( SV107 @ ( sK23_SY553 @ SV300 @ SV223 @ SV107 ) @ ( sK26_SY769 @ SV107 @ SV223 @ SV300 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1398]) ).
thf(1479,plain,
! [SV230: set_Sum_sum_c_c,SV306: set_Sum_sum_c_c,SV114: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ ( sK27_SY751 @ SV114 @ SV306 @ SV230 ) @ SV230 ) )
= $false )
| ( ( ord_le1772180283um_c_c @ SV114 @ ( sup_su1349021703um_c_c @ SV230 @ SV306 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1401]) ).
thf(1480,plain,
! [SV230: set_Sum_sum_c_c,SV114: set_Sum_sum_c_c,SV306: set_Sum_sum_c_c] :
( ( ( ! [SY770: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SY770 @ SV306 )
| ( SV114
!= ( sup_su1349021703um_c_c @ ( sK27_SY751 @ SV114 @ SV306 @ SV230 ) @ SY770 ) ) ) )
= $false )
| ( ( ord_le1772180283um_c_c @ SV114 @ ( sup_su1349021703um_c_c @ SV230 @ SV306 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1401]) ).
thf(1481,plain,
! [SV308: set_Sum_sum_c_c,SV336: set_Sum_sum_c_c,SV232: produc190496183real_c,SV117: produc190496183real_c] :
( ( ( denota1997846518gree_c @ SV117 @ SV232 @ SV336 )
= $false )
| ( ( denota1997846518gree_c @ SV117 @ SV232 @ ( sup_su1349021703um_c_c @ SV308 @ SV336 ) )
= $true )
| ( ( denota1997846518gree_c @ SV117 @ SV232 @ SV308 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1403]) ).
thf(1482,plain,
! [SV337: finite1398487019real_c,SV233: finite1398487019real_c,SV309: finite1398487019real_c,SV118: finite1398487019real_c] :
( ( ( SV118 != SV309 )
= $false )
| ( ( ( produc394644079real_c @ SV118 @ SV233 )
= ( produc394644079real_c @ SV309 @ SV337 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1404]) ).
thf(1483,plain,
! [SV309: finite1398487019real_c,SV118: finite1398487019real_c,SV337: finite1398487019real_c,SV233: finite1398487019real_c] :
( ( ( SV233 != SV337 )
= $false )
| ( ( ( produc394644079real_c @ SV118 @ SV233 )
= ( produc394644079real_c @ SV309 @ SV337 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1404]) ).
thf(1484,plain,
! [SV236: produc640052711real_c,SV121: produc190496183real_c] :
( ( ( SV121
!= ( produc415593093real_c @ SV236 ) )
= $false )
| ( ( SV121
= ( produc415593093real_c @ SV236 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1405]) ).
thf(1485,plain,
! [SV121: produc190496183real_c,SV236: produc640052711real_c] :
( ( ( ~ ~ ! [SY715: produc190496183real_c] :
( SV236
!= ( produc1687028567real_c @ SY715 @ SV121 ) ) )
= $false )
| ( ( SV121
= ( produc415593093real_c @ SV236 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1405]) ).
thf(1486,plain,
! [SV121: produc190496183real_c,SV342: produc190496183real_c,SV236: produc640052711real_c] :
( ( ( SV236
!= ( produc1687028567real_c @ SV342 @ SV121 ) )
= $true )
| ( ( ~ ( ( SV121
!= ( produc415593093real_c @ SV236 ) )
| ~ ~ ! [SY715: produc190496183real_c] :
( SV236
!= ( produc1687028567real_c @ SY715 @ SV121 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1406]) ).
thf(1487,plain,
! [SV237: produc190496183real_c,SV122: finite1398487019real_c] :
( ( ( SV122
!= ( produc2010422875real_c @ SV237 ) )
= $false )
| ( ( SV122
= ( produc2010422875real_c @ SV237 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1407]) ).
thf(1488,plain,
! [SV122: finite1398487019real_c,SV237: produc190496183real_c] :
( ( ( ~ ~ ! [SY716: finite1398487019real_c] :
( SV237
!= ( produc394644079real_c @ SV122 @ SY716 ) ) )
= $false )
| ( ( SV122
= ( produc2010422875real_c @ SV237 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1407]) ).
thf(1489,plain,
! [SV343: finite1398487019real_c,SV122: finite1398487019real_c,SV237: produc190496183real_c] :
( ( ( SV237
!= ( produc394644079real_c @ SV122 @ SV343 ) )
= $true )
| ( ( ~ ( ( SV122
!= ( produc2010422875real_c @ SV237 ) )
| ~ ~ ! [SY716: finite1398487019real_c] :
( SV237
!= ( produc394644079real_c @ SV122 @ SY716 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1408]) ).
thf(1490,plain,
! [SV123: set_Sum_sum_c_c,SV238: set_Sum_sum_c_c,SV338: produc190496183real_c,SV312: produc190496183real_c] :
( ( ( denota1997846518gree_c @ SV312 @ SV338 @ SV238 )
= $false )
| ( ( denota1997846518gree_c @ SV312 @ SV338 @ SV123 )
= $true )
| ( ( ord_le1772180283um_c_c @ SV123 @ SV238 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1409]) ).
thf(1491,plain,
! [SV339: finite1398487019real_c,SV313: finite1398487019real_c,SV239: finite1398487019real_c,SV124: finite1398487019real_c] :
( ( ( ( produc394644079real_c @ SV124 @ SV239 )
= ( produc394644079real_c @ SV313 @ SV339 ) )
= $false )
| ( ( ~ ( ( ( produc394644079real_c @ SV124 @ SV239 )
!= ( produc394644079real_c @ SV313 @ SV339 ) )
| ~ ~ ( ( SV124 != SV313 )
| ( SV239 != SV339 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1410]) ).
thf(1492,plain,
! [SV339: finite1398487019real_c,SV239: finite1398487019real_c,SV313: finite1398487019real_c,SV124: finite1398487019real_c] :
( ( ( ~ ( ( SV124 != SV313 )
| ( SV239 != SV339 ) ) )
= $false )
| ( ( ~ ( ( ( produc394644079real_c @ SV124 @ SV239 )
!= ( produc394644079real_c @ SV313 @ SV339 ) )
| ~ ~ ( ( SV124 != SV313 )
| ( SV239 != SV339 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1410]) ).
thf(1493,plain,
! [SV240: set_Pr754230471real_c,SV125: set_Pr754230471real_c,SV1: produc640052711real_c] :
( ( ( ~ ( member346808080real_c @ SV1 @ ( sup_su588839579real_c @ SV125 @ SV240 ) ) )
= $false )
| ( ( member346808080real_c @ SV1 @ ( sup_su588839579real_c @ SV125 @ SV240 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1411]) ).
thf(1494,plain,
! [SV240: set_Pr754230471real_c,SV125: set_Pr754230471real_c,SV1: produc640052711real_c] :
( ( ( ~ ( ( member346808080real_c @ SV1 @ SV125 )
| ( member346808080real_c @ SV1 @ SV240 ) ) )
= $false )
| ( ( member346808080real_c @ SV1 @ ( sup_su588839579real_c @ SV125 @ SV240 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1411]) ).
thf(1495,plain,
! [SV240: set_Pr754230471real_c,SV125: set_Pr754230471real_c,SV1: produc640052711real_c] :
( ( ( ~ ( member346808080real_c @ SV1 @ ( sup_su588839579real_c @ SV125 @ SV240 ) )
| ~ ( ( member346808080real_c @ SV1 @ SV125 )
| ( member346808080real_c @ SV1 @ SV240 ) ) )
= $false )
| ( ( member346808080real_c @ SV1 @ SV125 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1412]) ).
thf(1496,plain,
! [SV240: set_Pr754230471real_c,SV125: set_Pr754230471real_c,SV1: produc640052711real_c] :
( ( ( ~ ( member346808080real_c @ SV1 @ ( sup_su588839579real_c @ SV125 @ SV240 ) )
| ~ ( ( member346808080real_c @ SV1 @ SV125 )
| ( member346808080real_c @ SV1 @ SV240 ) ) )
= $false )
| ( ( member346808080real_c @ SV1 @ SV240 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1413]) ).
thf(1497,plain,
! [SV241: set_Sum_sum_c_c,SV126: set_Sum_sum_c_c,SV2: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ SV2 @ ( sup_su1349021703um_c_c @ SV126 @ SV241 ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ SV2 @ ( sup_su1349021703um_c_c @ SV126 @ SV241 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1414]) ).
thf(1498,plain,
! [SV241: set_Sum_sum_c_c,SV126: set_Sum_sum_c_c,SV2: sum_sum_c_c] :
( ( ( ~ ( ( member_Sum_sum_c_c @ SV2 @ SV126 )
| ( member_Sum_sum_c_c @ SV2 @ SV241 ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ SV2 @ ( sup_su1349021703um_c_c @ SV126 @ SV241 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1414]) ).
thf(1499,plain,
! [SV241: set_Sum_sum_c_c,SV126: set_Sum_sum_c_c,SV2: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ SV2 @ ( sup_su1349021703um_c_c @ SV126 @ SV241 ) )
| ~ ( ( member_Sum_sum_c_c @ SV2 @ SV126 )
| ( member_Sum_sum_c_c @ SV2 @ SV241 ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ SV2 @ SV126 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1415]) ).
thf(1500,plain,
! [SV241: set_Sum_sum_c_c,SV126: set_Sum_sum_c_c,SV2: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ SV2 @ ( sup_su1349021703um_c_c @ SV126 @ SV241 ) )
| ~ ( ( member_Sum_sum_c_c @ SV2 @ SV126 )
| ( member_Sum_sum_c_c @ SV2 @ SV241 ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ SV2 @ SV241 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1416]) ).
thf(1501,plain,
! [SV130: produc640052711real_c > $o,SV8: produc640052711real_c] :
( ( ( member346808080real_c @ SV8 @ ( collec1126017874real_c @ SV130 ) )
= $true )
| ( ( member346808080real_c @ SV8 @ ( collec1126017874real_c @ SV130 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1417]) ).
thf(1502,plain,
! [SV8: produc640052711real_c,SV130: produc640052711real_c > $o] :
( ( ( SV130 @ SV8 )
= $true )
| ( ( member346808080real_c @ SV8 @ ( collec1126017874real_c @ SV130 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1418]) ).
thf(1503,plain,
! [SV130: produc640052711real_c > $o,SV8: produc640052711real_c] :
( ( ( member346808080real_c @ SV8 @ ( collec1126017874real_c @ SV130 ) )
= $true )
| ( ( SV130 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1419]) ).
thf(1504,plain,
! [SV8: produc640052711real_c,SV130: produc640052711real_c > $o] :
( ( ( SV130 @ SV8 )
= $true )
| ( ( SV130 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1420]) ).
thf(1505,plain,
! [SV314: set_Sum_sum_c_c,SV131: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV131 @ SV314 )
| ( ( sup_su1349021703um_c_c @ SV131 @ SV314 )
!= SV314 ) )
= $false )
| ( ( ord_le1772180283um_c_c @ SV131 @ SV314 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1421]) ).
thf(1506,plain,
! [SV314: set_Sum_sum_c_c,SV131: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV131 @ SV314 )
| ( ( sup_su1349021703um_c_c @ SV131 @ SV314 )
!= SV314 ) )
= $false )
| ( ( ( sup_su1349021703um_c_c @ SV131 @ SV314 )
= SV314 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1422]) ).
thf(1507,plain,
! [SV315: set_Sum_sum_c_c,SV132: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV132 @ SV315 )
| ( ( sup_su1349021703um_c_c @ SV315 @ SV132 )
!= SV315 ) )
= $false )
| ( ( ord_le1772180283um_c_c @ SV132 @ SV315 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1423]) ).
thf(1508,plain,
! [SV315: set_Sum_sum_c_c,SV132: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV132 @ SV315 )
| ( ( sup_su1349021703um_c_c @ SV315 @ SV132 )
!= SV315 ) )
= $false )
| ( ( ( sup_su1349021703um_c_c @ SV315 @ SV132 )
= SV315 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1424]) ).
thf(1509,plain,
! [SV316: set_Sum_sum_c_c,SV135: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV135 @ SV316 )
| ( SV316
!= ( sup_su1349021703um_c_c @ SV316 @ SV135 ) ) )
= $false )
| ( ( ord_le1772180283um_c_c @ SV135 @ SV316 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1425]) ).
thf(1510,plain,
! [SV316: set_Sum_sum_c_c,SV135: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV135 @ SV316 )
| ( SV316
!= ( sup_su1349021703um_c_c @ SV316 @ SV135 ) ) )
= $false )
| ( ( SV316
= ( sup_su1349021703um_c_c @ SV316 @ SV135 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1426]) ).
thf(1511,plain,
! [SV317: set_Sum_sum_c_c,SV136: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV136 @ SV317 )
| ( ( sup_su1349021703um_c_c @ SV136 @ SV317 )
!= SV317 ) )
= $false )
| ( ( ord_le1772180283um_c_c @ SV136 @ SV317 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1427]) ).
thf(1512,plain,
! [SV317: set_Sum_sum_c_c,SV136: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV136 @ SV317 )
| ( ( sup_su1349021703um_c_c @ SV136 @ SV317 )
!= SV317 ) )
= $false )
| ( ( ( sup_su1349021703um_c_c @ SV136 @ SV317 )
= SV317 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1428]) ).
thf(1513,plain,
! [SV318: set_Sum_sum_c_c,SV141: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV141 @ SV318 )
| ( ( sup_su1349021703um_c_c @ SV141 @ SV318 )
!= SV318 ) )
= $false )
| ( ( ord_le1772180283um_c_c @ SV141 @ SV318 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1429]) ).
thf(1514,plain,
! [SV318: set_Sum_sum_c_c,SV141: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV141 @ SV318 )
| ( ( sup_su1349021703um_c_c @ SV141 @ SV318 )
!= SV318 ) )
= $false )
| ( ( ( sup_su1349021703um_c_c @ SV141 @ SV318 )
= SV318 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1430]) ).
thf(1515,plain,
! [SV167: produc190496183real_c,SV47: finite1398487019real_c] :
( ( ( SV47
= ( produc314122909real_c @ SV167 ) )
= $true )
| ( ( SV47
= ( produc314122909real_c @ SV167 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1431]) ).
thf(1516,plain,
! [SV47: finite1398487019real_c,SV167: produc190496183real_c] :
( ( ( ~ ! [SY620: finite1398487019real_c] :
( SV167
!= ( produc394644079real_c @ SY620 @ SV47 ) ) )
= $true )
| ( ( SV47
= ( produc314122909real_c @ SV167 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1432]) ).
thf(1517,plain,
! [SV47: finite1398487019real_c,SV340: finite1398487019real_c,SV167: produc190496183real_c] :
( ( ( SV167
= ( produc394644079real_c @ SV340 @ SV47 ) )
= $false )
| ( ( ~ ( ( SV47
!= ( produc314122909real_c @ SV167 ) )
| ~ ~ ! [SY620: finite1398487019real_c] :
( SV167
!= ( produc394644079real_c @ SY620 @ SV47 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1433]) ).
thf(1518,plain,
! [SV168: produc640052711real_c,SV48: produc190496183real_c] :
( ( ( SV48
= ( produc876006723real_c @ SV168 ) )
= $true )
| ( ( SV48
= ( produc876006723real_c @ SV168 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1434]) ).
thf(1519,plain,
! [SV48: produc190496183real_c,SV168: produc640052711real_c] :
( ( ( ~ ! [SY621: produc190496183real_c] :
( SV168
!= ( produc1687028567real_c @ SV48 @ SY621 ) ) )
= $true )
| ( ( SV48
= ( produc876006723real_c @ SV168 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1435]) ).
thf(1520,plain,
! [SV341: produc190496183real_c,SV48: produc190496183real_c,SV168: produc640052711real_c] :
( ( ( SV168
= ( produc1687028567real_c @ SV48 @ SV341 ) )
= $false )
| ( ( ~ ( ( SV48
!= ( produc876006723real_c @ SV168 ) )
| ~ ~ ! [SY621: produc190496183real_c] :
( SV168
!= ( produc1687028567real_c @ SV48 @ SY621 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1436]) ).
thf(1521,plain,
! [SV323: produc190496183real_c,SV171: produc190496183real_c,SV260: produc190496183real_c,SV51: produc190496183real_c] :
( ( ( SV51 = SV260 )
= $true )
| ( ( ( produc1687028567real_c @ SV51 @ SV171 )
= ( produc1687028567real_c @ SV260 @ SV323 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1437]) ).
thf(1522,plain,
! [SV260: produc190496183real_c,SV51: produc190496183real_c,SV323: produc190496183real_c,SV171: produc190496183real_c] :
( ( ( SV171 = SV323 )
= $true )
| ( ( ( produc1687028567real_c @ SV51 @ SV171 )
= ( produc1687028567real_c @ SV260 @ SV323 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1438]) ).
thf(1523,plain,
! [SV324: hp_a_b_c,SV263: hp_a_b_c,SV174: hp_a_b_c,SV55: hp_a_b_c] :
( ( ( ( ( choice_a_b_c @ SV55 @ SV174 )
!= ( choice_a_b_c @ SV263 @ SV324 ) )
| ~ ~ ( ( SV55 != SV263 )
| ( SV174 != SV324 ) ) )
= $false )
| ( ( ( choice_a_b_c @ SV55 @ SV174 )
= ( choice_a_b_c @ SV263 @ SV324 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1439]) ).
thf(1524,plain,
! [SV324: hp_a_b_c,SV174: hp_a_b_c,SV263: hp_a_b_c,SV55: hp_a_b_c] :
( ( ( ( SV55 != SV263 )
| ( SV174 != SV324 ) )
= $true )
| ( ( ~ ( ( ( choice_a_b_c @ SV55 @ SV174 )
!= ( choice_a_b_c @ SV263 @ SV324 ) )
| ~ ~ ( ( SV55 != SV263 )
| ( SV174 != SV324 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1440]) ).
thf(1525,plain,
! [SV177: hp_a_b_c,SV58: hp_a_b_c] :
( ( ( hpsafe_a_b_c @ ( choice_a_b_c @ SV58 @ SV177 ) )
= $true )
| ( ( hpsafe_a_b_c @ ( choice_a_b_c @ SV58 @ SV177 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1441]) ).
thf(1526,plain,
! [SV177: hp_a_b_c,SV58: hp_a_b_c] :
( ( ( ~ ( ~ ( hpsafe_a_b_c @ SV58 )
| ~ ( hpsafe_a_b_c @ SV177 ) ) )
= $true )
| ( ( hpsafe_a_b_c @ ( choice_a_b_c @ SV58 @ SV177 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1442]) ).
thf(1527,plain,
! [SV177: hp_a_b_c,SV58: hp_a_b_c] :
( ( ( hpsafe_a_b_c @ SV58 )
= $false )
| ( ( ~ ( hpsafe_a_b_c @ SV177 ) )
= $true )
| ( ( ~ ( ~ ( hpsafe_a_b_c @ ( choice_a_b_c @ SV58 @ SV177 ) )
| ~ ~ ( ~ ( hpsafe_a_b_c @ SV58 )
| ~ ( hpsafe_a_b_c @ SV177 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1443]) ).
thf(1528,plain,
! [SV326: produc190496183real_c,SV267: produc190496183real_c,SV181: produc190496183real_c,SV62: produc190496183real_c] :
( ( ( ( ( produc1687028567real_c @ SV62 @ SV181 )
!= ( produc1687028567real_c @ SV267 @ SV326 ) )
| ~ ~ ( ( SV62 != SV267 )
| ( SV181 != SV326 ) ) )
= $false )
| ( ( ( produc1687028567real_c @ SV62 @ SV181 )
= ( produc1687028567real_c @ SV267 @ SV326 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1445]) ).
thf(1529,plain,
! [SV326: produc190496183real_c,SV181: produc190496183real_c,SV267: produc190496183real_c,SV62: produc190496183real_c] :
( ( ( ( SV62 != SV267 )
| ( SV181 != SV326 ) )
= $true )
| ( ( ~ ( ( ( produc1687028567real_c @ SV62 @ SV181 )
!= ( produc1687028567real_c @ SV267 @ SV326 ) )
| ~ ~ ( ( SV62 != SV267 )
| ( SV181 != SV326 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1446]) ).
thf(1530,plain,
! [SV327: set_Pr754230471real_c,SV187: set_Pr754230471real_c] :
( ( ( ~ ( ord_le1988344935real_c @ SV187 @ SV327 )
| ~ ! [SY759: produc640052711real_c] :
( ~ ( member346808080real_c @ SY759 @ SV187 )
| ( member346808080real_c @ SY759 @ SV327 ) ) )
= $false )
| ( ( ord_le1988344935real_c @ SV187 @ SV327 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1451]) ).
thf(1531,plain,
! [SV187: set_Pr754230471real_c,SV327: set_Pr754230471real_c] :
( ( ( ~ ( member346808080real_c @ ( sK29_SY759 @ SV327 @ SV187 ) @ SV187 )
| ( member346808080real_c @ ( sK29_SY759 @ SV327 @ SV187 ) @ SV327 ) )
= $false )
| ( ( ~ ( ~ ( ord_le1988344935real_c @ SV187 @ SV327 )
| ~ ! [SY759: produc640052711real_c] :
( ~ ( member346808080real_c @ SY759 @ SV187 )
| ( member346808080real_c @ SY759 @ SV327 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1452]) ).
thf(1532,plain,
! [SV328: finite1398487019real_c,SV272: finite1398487019real_c,SV190: finite1398487019real_c,SV71: finite1398487019real_c] :
( ( ( ( ( produc394644079real_c @ SV71 @ SV190 )
!= ( produc394644079real_c @ SV272 @ SV328 ) )
| ~ ~ ( ( SV71 != SV272 )
| ( SV190 != SV328 ) ) )
= $false )
| ( ( ( produc394644079real_c @ SV71 @ SV190 )
= ( produc394644079real_c @ SV272 @ SV328 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1453]) ).
thf(1533,plain,
! [SV328: finite1398487019real_c,SV190: finite1398487019real_c,SV272: finite1398487019real_c,SV71: finite1398487019real_c] :
( ( ( ( SV71 != SV272 )
| ( SV190 != SV328 ) )
= $true )
| ( ( ~ ( ( ( produc394644079real_c @ SV71 @ SV190 )
!= ( produc394644079real_c @ SV272 @ SV328 ) )
| ~ ~ ( ( SV71 != SV272 )
| ( SV190 != SV328 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1454]) ).
thf(1534,plain,
! [SV273: sum_sum_c_c > $o,SV191: set_Sum_sum_c_c,SV72: set_Sum_sum_c_c,SV344: sum_sum_c_c] :
( ( ( ~ ~ ( ~ ( member_Sum_sum_c_c @ SV344 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
| ~ ( SV273 @ SV344 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY728: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY728 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
| ~ ( SV273 @ SY728 ) )
| ~ ( ~ ! [SY729: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY729 @ SV72 )
| ~ ( SV273 @ SY729 ) )
| ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1455]) ).
thf(1535,plain,
! [SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV72: set_Sum_sum_c_c] :
( ( ( ! [SY729: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY729 @ SV72 )
| ~ ( SV273 @ SY729 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY728: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY728 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
| ~ ( SV273 @ SY728 ) )
| ~ ( ~ ! [SY729: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY729 @ SV72 )
| ~ ( SV273 @ SY729 ) )
| ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1456]) ).
thf(1536,plain,
! [SV72: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV191: set_Sum_sum_c_c] :
( ( ( ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY728: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY728 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
| ~ ( SV273 @ SY728 ) )
| ~ ( ~ ! [SY729: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY729 @ SV72 )
| ~ ( SV273 @ SY729 ) )
| ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1457]) ).
thf(1537,plain,
! [SV330: produc190496183real_c,SV277: produc190496183real_c,SV197: produc190496183real_c,SV78: produc190496183real_c] :
( ( ( ( ( produc1687028567real_c @ SV78 @ SV197 )
!= ( produc1687028567real_c @ SV277 @ SV330 ) )
| ~ ~ ( ( SV78 != SV277 )
| ( SV197 != SV330 ) ) )
= $false )
| ( ( ( produc1687028567real_c @ SV78 @ SV197 )
= ( produc1687028567real_c @ SV277 @ SV330 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1460]) ).
thf(1538,plain,
! [SV330: produc190496183real_c,SV197: produc190496183real_c,SV277: produc190496183real_c,SV78: produc190496183real_c] :
( ( ( ( SV78 != SV277 )
| ( SV197 != SV330 ) )
= $true )
| ( ( ~ ( ( ( produc1687028567real_c @ SV78 @ SV197 )
!= ( produc1687028567real_c @ SV277 @ SV330 ) )
| ~ ~ ( ( SV78 != SV277 )
| ( SV197 != SV330 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1461]) ).
thf(1539,plain,
! [SV331: set_Pr754230471real_c,SV199: set_Pr754230471real_c] :
( ( ( ~ ( ord_le1988344935real_c @ SV199 @ SV331 )
| ~ ! [SY760: produc640052711real_c] :
( ~ ( member346808080real_c @ SY760 @ SV199 )
| ( member346808080real_c @ SY760 @ SV331 ) ) )
= $false )
| ( ( ord_le1988344935real_c @ SV199 @ SV331 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1462]) ).
thf(1540,plain,
! [SV199: set_Pr754230471real_c,SV331: set_Pr754230471real_c] :
( ( ( ~ ( member346808080real_c @ ( sK30_SY760 @ SV331 @ SV199 ) @ SV199 )
| ( member346808080real_c @ ( sK30_SY760 @ SV331 @ SV199 ) @ SV331 ) )
= $false )
| ( ( ~ ( ~ ( ord_le1988344935real_c @ SV199 @ SV331 )
| ~ ! [SY760: produc640052711real_c] :
( ~ ( member346808080real_c @ SY760 @ SV199 )
| ( member346808080real_c @ SY760 @ SV331 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1463]) ).
thf(1541,plain,
! [SV94: set_Sum_sum_c_c,SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o] :
( ( ( ~ ( member_Sum_sum_c_c @ ( sK28_SY740 @ SV290 @ SV211 @ SV94 ) @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY740: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY740 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
| ( SV290 @ SY740 ) )
| ~ ~ ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) )
| ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1468]) ).
thf(1542,plain,
! [SV94: set_Sum_sum_c_c,SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o] :
( ( ( SV290 @ ( sK28_SY740 @ SV290 @ SV211 @ SV94 ) )
= $false )
| ( ( ~ ( ~ ! [SY740: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY740 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
| ( SV290 @ SY740 ) )
| ~ ~ ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) )
| ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1468]) ).
thf(1543,plain,
! [SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV94: set_Sum_sum_c_c] :
( ( ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) ) )
= $true )
| ( ( ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY740: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY740 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
| ( SV290 @ SY740 ) )
| ~ ~ ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) )
| ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1469]) ).
thf(1544,plain,
! [SV292: set_Sum_sum_c_c,SV213: set_Sum_sum_c_c,SV96: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV96 @ SV213 ) @ SV292 ) )
= $false )
| ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV96 @ SV213 ) @ SV292 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1470]) ).
thf(1545,plain,
! [SV213: set_Sum_sum_c_c,SV292: set_Sum_sum_c_c,SV96: set_Sum_sum_c_c] :
( ( ( ~ ~ ( ~ ( ord_le1772180283um_c_c @ SV96 @ SV292 )
| ~ ( ord_le1772180283um_c_c @ SV213 @ SV292 ) ) )
= $false )
| ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV96 @ SV213 ) @ SV292 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1470]) ).
thf(1546,plain,
! [SV213: set_Sum_sum_c_c,SV292: set_Sum_sum_c_c,SV96: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV96 @ SV292 ) )
= $true )
| ( ( ~ ( ord_le1772180283um_c_c @ SV213 @ SV292 ) )
= $true )
| ( ( ~ ( ~ ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV96 @ SV213 ) @ SV292 )
| ~ ~ ( ~ ( ord_le1772180283um_c_c @ SV96 @ SV292 )
| ~ ( ord_le1772180283um_c_c @ SV213 @ SV292 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1471]) ).
thf(1547,plain,
! [SV294: set_Sum_sum_c_c,SV215: set_Sum_sum_c_c,SV98: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV98 @ SV215 ) @ SV294 ) )
= $false )
| ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV98 @ SV215 ) @ SV294 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1473]) ).
thf(1548,plain,
! [SV215: set_Sum_sum_c_c,SV294: set_Sum_sum_c_c,SV98: set_Sum_sum_c_c] :
( ( ( ~ ~ ( ~ ( ord_le1772180283um_c_c @ SV98 @ SV294 )
| ~ ( ord_le1772180283um_c_c @ SV215 @ SV294 ) ) )
= $false )
| ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV98 @ SV215 ) @ SV294 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1473]) ).
thf(1549,plain,
! [SV215: set_Sum_sum_c_c,SV294: set_Sum_sum_c_c,SV98: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV98 @ SV294 ) )
= $true )
| ( ( ~ ( ord_le1772180283um_c_c @ SV215 @ SV294 ) )
= $true )
| ( ( ~ ( ~ ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV98 @ SV215 ) @ SV294 )
| ~ ~ ( ~ ( ord_le1772180283um_c_c @ SV98 @ SV294 )
| ~ ( ord_le1772180283um_c_c @ SV215 @ SV294 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1474]) ).
thf(1550,plain,
! [SV298: set_Sum_sum_c_c,SV220: set_Sum_sum_c_c,SV103: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV103 @ SV220 ) @ SV298 ) )
= $false )
| ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV103 @ SV220 ) @ SV298 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1476]) ).
thf(1551,plain,
! [SV220: set_Sum_sum_c_c,SV298: set_Sum_sum_c_c,SV103: set_Sum_sum_c_c] :
( ( ( ~ ~ ( ~ ( ord_le1772180283um_c_c @ SV103 @ SV298 )
| ~ ( ord_le1772180283um_c_c @ SV220 @ SV298 ) ) )
= $false )
| ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV103 @ SV220 ) @ SV298 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1476]) ).
thf(1552,plain,
! [SV220: set_Sum_sum_c_c,SV298: set_Sum_sum_c_c,SV103: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV103 @ SV298 ) )
= $true )
| ( ( ~ ( ord_le1772180283um_c_c @ SV220 @ SV298 ) )
= $true )
| ( ( ~ ( ~ ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV103 @ SV220 ) @ SV298 )
| ~ ~ ( ~ ( ord_le1772180283um_c_c @ SV103 @ SV298 )
| ~ ( ord_le1772180283um_c_c @ SV220 @ SV298 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1477]) ).
thf(1553,plain,
! [SV300: set_Sum_sum_c_c,SV223: set_Sum_sum_c_c,SV107: set_Sum_sum_c_c > set_Sum_sum_c_c > set_Sum_sum_c_c] :
( ( ( ! [SY555: set_Sum_sum_c_c,SY556: set_Sum_sum_c_c] : ( ord_le1772180283um_c_c @ SY556 @ ( SV107 @ SY555 @ SY556 ) ) )
= $false )
| ( ( ~ ! [SY557: set_Sum_sum_c_c,SY558: set_Sum_sum_c_c,SY559: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SY558 @ SY557 )
| ~ ( ord_le1772180283um_c_c @ SY559 @ SY557 )
| ( ord_le1772180283um_c_c @ ( SV107 @ SY558 @ SY559 ) @ SY557 ) )
| ( ( sup_su1349021703um_c_c @ SV223 @ SV300 )
= ( SV107 @ SV223 @ SV300 ) ) )
= $true )
| ( ( ord_le1772180283um_c_c @ ( sK23_SY553 @ SV300 @ SV223 @ SV107 ) @ ( SV107 @ ( sK23_SY553 @ SV300 @ SV223 @ SV107 ) @ ( sK26_SY769 @ SV107 @ SV223 @ SV300 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1478]) ).
thf(1554,plain,
! [SV230: set_Sum_sum_c_c,SV306: set_Sum_sum_c_c,SV114: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ ( sK27_SY751 @ SV114 @ SV306 @ SV230 ) @ SV230 )
= $true )
| ( ( ord_le1772180283um_c_c @ SV114 @ ( sup_su1349021703um_c_c @ SV230 @ SV306 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1479]) ).
thf(1555,plain,
! [SV306: set_Sum_sum_c_c,SV114: set_Sum_sum_c_c,SV230: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ ( sK31_SY770 @ SV230 @ SV114 @ SV306 ) @ SV306 )
| ( SV114
!= ( sup_su1349021703um_c_c @ ( sK27_SY751 @ SV114 @ SV306 @ SV230 ) @ ( sK31_SY770 @ SV230 @ SV114 @ SV306 ) ) ) )
= $false )
| ( ( ord_le1772180283um_c_c @ SV114 @ ( sup_su1349021703um_c_c @ SV230 @ SV306 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1480]) ).
thf(1556,plain,
! [SV337: finite1398487019real_c,SV233: finite1398487019real_c,SV309: finite1398487019real_c,SV118: finite1398487019real_c] :
( ( ( SV118 = SV309 )
= $true )
| ( ( ( produc394644079real_c @ SV118 @ SV233 )
= ( produc394644079real_c @ SV309 @ SV337 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1482]) ).
thf(1557,plain,
! [SV309: finite1398487019real_c,SV118: finite1398487019real_c,SV337: finite1398487019real_c,SV233: finite1398487019real_c] :
( ( ( SV233 = SV337 )
= $true )
| ( ( ( produc394644079real_c @ SV118 @ SV233 )
= ( produc394644079real_c @ SV309 @ SV337 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1483]) ).
thf(1558,plain,
! [SV236: produc640052711real_c,SV121: produc190496183real_c] :
( ( ( SV121
= ( produc415593093real_c @ SV236 ) )
= $true )
| ( ( SV121
= ( produc415593093real_c @ SV236 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1484]) ).
thf(1559,plain,
! [SV121: produc190496183real_c,SV236: produc640052711real_c] :
( ( ( ~ ! [SY715: produc190496183real_c] :
( SV236
!= ( produc1687028567real_c @ SY715 @ SV121 ) ) )
= $true )
| ( ( SV121
= ( produc415593093real_c @ SV236 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1485]) ).
thf(1560,plain,
! [SV121: produc190496183real_c,SV342: produc190496183real_c,SV236: produc640052711real_c] :
( ( ( SV236
= ( produc1687028567real_c @ SV342 @ SV121 ) )
= $false )
| ( ( ~ ( ( SV121
!= ( produc415593093real_c @ SV236 ) )
| ~ ~ ! [SY715: produc190496183real_c] :
( SV236
!= ( produc1687028567real_c @ SY715 @ SV121 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1486]) ).
thf(1561,plain,
! [SV237: produc190496183real_c,SV122: finite1398487019real_c] :
( ( ( SV122
= ( produc2010422875real_c @ SV237 ) )
= $true )
| ( ( SV122
= ( produc2010422875real_c @ SV237 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1487]) ).
thf(1562,plain,
! [SV122: finite1398487019real_c,SV237: produc190496183real_c] :
( ( ( ~ ! [SY716: finite1398487019real_c] :
( SV237
!= ( produc394644079real_c @ SV122 @ SY716 ) ) )
= $true )
| ( ( SV122
= ( produc2010422875real_c @ SV237 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1488]) ).
thf(1563,plain,
! [SV343: finite1398487019real_c,SV122: finite1398487019real_c,SV237: produc190496183real_c] :
( ( ( SV237
= ( produc394644079real_c @ SV122 @ SV343 ) )
= $false )
| ( ( ~ ( ( SV122
!= ( produc2010422875real_c @ SV237 ) )
| ~ ~ ! [SY716: finite1398487019real_c] :
( SV237
!= ( produc394644079real_c @ SV122 @ SY716 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1489]) ).
thf(1564,plain,
! [SV339: finite1398487019real_c,SV313: finite1398487019real_c,SV239: finite1398487019real_c,SV124: finite1398487019real_c] :
( ( ( ( ( produc394644079real_c @ SV124 @ SV239 )
!= ( produc394644079real_c @ SV313 @ SV339 ) )
| ~ ~ ( ( SV124 != SV313 )
| ( SV239 != SV339 ) ) )
= $false )
| ( ( ( produc394644079real_c @ SV124 @ SV239 )
= ( produc394644079real_c @ SV313 @ SV339 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1491]) ).
thf(1565,plain,
! [SV339: finite1398487019real_c,SV239: finite1398487019real_c,SV313: finite1398487019real_c,SV124: finite1398487019real_c] :
( ( ( ( SV124 != SV313 )
| ( SV239 != SV339 ) )
= $true )
| ( ( ~ ( ( ( produc394644079real_c @ SV124 @ SV239 )
!= ( produc394644079real_c @ SV313 @ SV339 ) )
| ~ ~ ( ( SV124 != SV313 )
| ( SV239 != SV339 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1492]) ).
thf(1566,plain,
! [SV240: set_Pr754230471real_c,SV125: set_Pr754230471real_c,SV1: produc640052711real_c] :
( ( ( member346808080real_c @ SV1 @ ( sup_su588839579real_c @ SV125 @ SV240 ) )
= $true )
| ( ( member346808080real_c @ SV1 @ ( sup_su588839579real_c @ SV125 @ SV240 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1493]) ).
thf(1567,plain,
! [SV240: set_Pr754230471real_c,SV125: set_Pr754230471real_c,SV1: produc640052711real_c] :
( ( ( ( member346808080real_c @ SV1 @ SV125 )
| ( member346808080real_c @ SV1 @ SV240 ) )
= $true )
| ( ( member346808080real_c @ SV1 @ ( sup_su588839579real_c @ SV125 @ SV240 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1494]) ).
thf(1568,plain,
! [SV240: set_Pr754230471real_c,SV125: set_Pr754230471real_c,SV1: produc640052711real_c] :
( ( ( ~ ( member346808080real_c @ SV1 @ ( sup_su588839579real_c @ SV125 @ SV240 ) ) )
= $false )
| ( ( member346808080real_c @ SV1 @ SV125 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1495]) ).
thf(1569,plain,
! [SV240: set_Pr754230471real_c,SV125: set_Pr754230471real_c,SV1: produc640052711real_c] :
( ( ( ~ ( ( member346808080real_c @ SV1 @ SV125 )
| ( member346808080real_c @ SV1 @ SV240 ) ) )
= $false )
| ( ( member346808080real_c @ SV1 @ SV125 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1495]) ).
thf(1570,plain,
! [SV240: set_Pr754230471real_c,SV125: set_Pr754230471real_c,SV1: produc640052711real_c] :
( ( ( ~ ( member346808080real_c @ SV1 @ ( sup_su588839579real_c @ SV125 @ SV240 ) ) )
= $false )
| ( ( member346808080real_c @ SV1 @ SV240 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1496]) ).
thf(1571,plain,
! [SV240: set_Pr754230471real_c,SV125: set_Pr754230471real_c,SV1: produc640052711real_c] :
( ( ( ~ ( ( member346808080real_c @ SV1 @ SV125 )
| ( member346808080real_c @ SV1 @ SV240 ) ) )
= $false )
| ( ( member346808080real_c @ SV1 @ SV240 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1496]) ).
thf(1572,plain,
! [SV241: set_Sum_sum_c_c,SV126: set_Sum_sum_c_c,SV2: sum_sum_c_c] :
( ( ( member_Sum_sum_c_c @ SV2 @ ( sup_su1349021703um_c_c @ SV126 @ SV241 ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV2 @ ( sup_su1349021703um_c_c @ SV126 @ SV241 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1497]) ).
thf(1573,plain,
! [SV241: set_Sum_sum_c_c,SV126: set_Sum_sum_c_c,SV2: sum_sum_c_c] :
( ( ( ( member_Sum_sum_c_c @ SV2 @ SV126 )
| ( member_Sum_sum_c_c @ SV2 @ SV241 ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV2 @ ( sup_su1349021703um_c_c @ SV126 @ SV241 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1498]) ).
thf(1574,plain,
! [SV241: set_Sum_sum_c_c,SV126: set_Sum_sum_c_c,SV2: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ SV2 @ ( sup_su1349021703um_c_c @ SV126 @ SV241 ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ SV2 @ SV126 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1499]) ).
thf(1575,plain,
! [SV241: set_Sum_sum_c_c,SV126: set_Sum_sum_c_c,SV2: sum_sum_c_c] :
( ( ( ~ ( ( member_Sum_sum_c_c @ SV2 @ SV126 )
| ( member_Sum_sum_c_c @ SV2 @ SV241 ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ SV2 @ SV126 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1499]) ).
thf(1576,plain,
! [SV241: set_Sum_sum_c_c,SV126: set_Sum_sum_c_c,SV2: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ SV2 @ ( sup_su1349021703um_c_c @ SV126 @ SV241 ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ SV2 @ SV241 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1500]) ).
thf(1577,plain,
! [SV241: set_Sum_sum_c_c,SV126: set_Sum_sum_c_c,SV2: sum_sum_c_c] :
( ( ( ~ ( ( member_Sum_sum_c_c @ SV2 @ SV126 )
| ( member_Sum_sum_c_c @ SV2 @ SV241 ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ SV2 @ SV241 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1500]) ).
thf(1578,plain,
! [SV314: set_Sum_sum_c_c,SV131: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV131 @ SV314 ) )
= $false )
| ( ( ord_le1772180283um_c_c @ SV131 @ SV314 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1505]) ).
thf(1579,plain,
! [SV314: set_Sum_sum_c_c,SV131: set_Sum_sum_c_c] :
( ( ( ( sup_su1349021703um_c_c @ SV131 @ SV314 )
!= SV314 )
= $false )
| ( ( ord_le1772180283um_c_c @ SV131 @ SV314 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1505]) ).
thf(1580,plain,
! [SV314: set_Sum_sum_c_c,SV131: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV131 @ SV314 ) )
= $false )
| ( ( ( sup_su1349021703um_c_c @ SV131 @ SV314 )
= SV314 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1506]) ).
thf(1581,plain,
! [SV314: set_Sum_sum_c_c,SV131: set_Sum_sum_c_c] :
( ( ( ( sup_su1349021703um_c_c @ SV131 @ SV314 )
!= SV314 )
= $false )
| ( ( ( sup_su1349021703um_c_c @ SV131 @ SV314 )
= SV314 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1506]) ).
thf(1582,plain,
! [SV315: set_Sum_sum_c_c,SV132: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV132 @ SV315 ) )
= $false )
| ( ( ord_le1772180283um_c_c @ SV132 @ SV315 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1507]) ).
thf(1583,plain,
! [SV132: set_Sum_sum_c_c,SV315: set_Sum_sum_c_c] :
( ( ( ( sup_su1349021703um_c_c @ SV315 @ SV132 )
!= SV315 )
= $false )
| ( ( ord_le1772180283um_c_c @ SV132 @ SV315 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1507]) ).
thf(1584,plain,
! [SV315: set_Sum_sum_c_c,SV132: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV132 @ SV315 ) )
= $false )
| ( ( ( sup_su1349021703um_c_c @ SV315 @ SV132 )
= SV315 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1508]) ).
thf(1585,plain,
! [SV132: set_Sum_sum_c_c,SV315: set_Sum_sum_c_c] :
( ( ( ( sup_su1349021703um_c_c @ SV315 @ SV132 )
!= SV315 )
= $false )
| ( ( ( sup_su1349021703um_c_c @ SV315 @ SV132 )
= SV315 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1508]) ).
thf(1586,plain,
! [SV316: set_Sum_sum_c_c,SV135: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV135 @ SV316 ) )
= $false )
| ( ( ord_le1772180283um_c_c @ SV135 @ SV316 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1509]) ).
thf(1587,plain,
! [SV135: set_Sum_sum_c_c,SV316: set_Sum_sum_c_c] :
( ( ( SV316
!= ( sup_su1349021703um_c_c @ SV316 @ SV135 ) )
= $false )
| ( ( ord_le1772180283um_c_c @ SV135 @ SV316 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1509]) ).
thf(1588,plain,
! [SV316: set_Sum_sum_c_c,SV135: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV135 @ SV316 ) )
= $false )
| ( ( SV316
= ( sup_su1349021703um_c_c @ SV316 @ SV135 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1510]) ).
thf(1589,plain,
! [SV135: set_Sum_sum_c_c,SV316: set_Sum_sum_c_c] :
( ( ( SV316
!= ( sup_su1349021703um_c_c @ SV316 @ SV135 ) )
= $false )
| ( ( SV316
= ( sup_su1349021703um_c_c @ SV316 @ SV135 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1510]) ).
thf(1590,plain,
! [SV317: set_Sum_sum_c_c,SV136: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV136 @ SV317 ) )
= $false )
| ( ( ord_le1772180283um_c_c @ SV136 @ SV317 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1511]) ).
thf(1591,plain,
! [SV317: set_Sum_sum_c_c,SV136: set_Sum_sum_c_c] :
( ( ( ( sup_su1349021703um_c_c @ SV136 @ SV317 )
!= SV317 )
= $false )
| ( ( ord_le1772180283um_c_c @ SV136 @ SV317 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1511]) ).
thf(1592,plain,
! [SV317: set_Sum_sum_c_c,SV136: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV136 @ SV317 ) )
= $false )
| ( ( ( sup_su1349021703um_c_c @ SV136 @ SV317 )
= SV317 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1512]) ).
thf(1593,plain,
! [SV317: set_Sum_sum_c_c,SV136: set_Sum_sum_c_c] :
( ( ( ( sup_su1349021703um_c_c @ SV136 @ SV317 )
!= SV317 )
= $false )
| ( ( ( sup_su1349021703um_c_c @ SV136 @ SV317 )
= SV317 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1512]) ).
thf(1594,plain,
! [SV318: set_Sum_sum_c_c,SV141: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV141 @ SV318 ) )
= $false )
| ( ( ord_le1772180283um_c_c @ SV141 @ SV318 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1513]) ).
thf(1595,plain,
! [SV318: set_Sum_sum_c_c,SV141: set_Sum_sum_c_c] :
( ( ( ( sup_su1349021703um_c_c @ SV141 @ SV318 )
!= SV318 )
= $false )
| ( ( ord_le1772180283um_c_c @ SV141 @ SV318 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1513]) ).
thf(1596,plain,
! [SV318: set_Sum_sum_c_c,SV141: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV141 @ SV318 ) )
= $false )
| ( ( ( sup_su1349021703um_c_c @ SV141 @ SV318 )
= SV318 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1514]) ).
thf(1597,plain,
! [SV318: set_Sum_sum_c_c,SV141: set_Sum_sum_c_c] :
( ( ( ( sup_su1349021703um_c_c @ SV141 @ SV318 )
!= SV318 )
= $false )
| ( ( ( sup_su1349021703um_c_c @ SV141 @ SV318 )
= SV318 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1514]) ).
thf(1598,plain,
! [SV47: finite1398487019real_c,SV167: produc190496183real_c] :
( ( ( ! [SY620: finite1398487019real_c] :
( SV167
!= ( produc394644079real_c @ SY620 @ SV47 ) ) )
= $false )
| ( ( SV47
= ( produc314122909real_c @ SV167 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1516]) ).
thf(1599,plain,
! [SV340: finite1398487019real_c,SV167: produc190496183real_c,SV47: finite1398487019real_c] :
( ( ( ( SV47
!= ( produc314122909real_c @ SV167 ) )
| ~ ~ ! [SY620: finite1398487019real_c] :
( SV167
!= ( produc394644079real_c @ SY620 @ SV47 ) ) )
= $false )
| ( ( SV167
= ( produc394644079real_c @ SV340 @ SV47 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1517]) ).
thf(1600,plain,
! [SV48: produc190496183real_c,SV168: produc640052711real_c] :
( ( ( ! [SY621: produc190496183real_c] :
( SV168
!= ( produc1687028567real_c @ SV48 @ SY621 ) ) )
= $false )
| ( ( SV48
= ( produc876006723real_c @ SV168 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1519]) ).
thf(1601,plain,
! [SV341: produc190496183real_c,SV168: produc640052711real_c,SV48: produc190496183real_c] :
( ( ( ( SV48
!= ( produc876006723real_c @ SV168 ) )
| ~ ~ ! [SY621: produc190496183real_c] :
( SV168
!= ( produc1687028567real_c @ SV48 @ SY621 ) ) )
= $false )
| ( ( SV168
= ( produc1687028567real_c @ SV48 @ SV341 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1520]) ).
thf(1602,plain,
! [SV324: hp_a_b_c,SV263: hp_a_b_c,SV174: hp_a_b_c,SV55: hp_a_b_c] :
( ( ( ( choice_a_b_c @ SV55 @ SV174 )
!= ( choice_a_b_c @ SV263 @ SV324 ) )
= $false )
| ( ( ( choice_a_b_c @ SV55 @ SV174 )
= ( choice_a_b_c @ SV263 @ SV324 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1523]) ).
thf(1603,plain,
! [SV324: hp_a_b_c,SV174: hp_a_b_c,SV263: hp_a_b_c,SV55: hp_a_b_c] :
( ( ( ~ ~ ( ( SV55 != SV263 )
| ( SV174 != SV324 ) ) )
= $false )
| ( ( ( choice_a_b_c @ SV55 @ SV174 )
= ( choice_a_b_c @ SV263 @ SV324 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1523]) ).
thf(1604,plain,
! [SV324: hp_a_b_c,SV174: hp_a_b_c,SV263: hp_a_b_c,SV55: hp_a_b_c] :
( ( ( SV55 != SV263 )
= $true )
| ( ( SV174 != SV324 )
= $true )
| ( ( ~ ( ( ( choice_a_b_c @ SV55 @ SV174 )
!= ( choice_a_b_c @ SV263 @ SV324 ) )
| ~ ~ ( ( SV55 != SV263 )
| ( SV174 != SV324 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1524]) ).
thf(1605,plain,
! [SV177: hp_a_b_c,SV58: hp_a_b_c] :
( ( ( ~ ( hpsafe_a_b_c @ SV58 )
| ~ ( hpsafe_a_b_c @ SV177 ) )
= $false )
| ( ( hpsafe_a_b_c @ ( choice_a_b_c @ SV58 @ SV177 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1526]) ).
thf(1606,plain,
! [SV58: hp_a_b_c,SV177: hp_a_b_c] :
( ( ( hpsafe_a_b_c @ SV177 )
= $false )
| ( ( hpsafe_a_b_c @ SV58 )
= $false )
| ( ( ~ ( ~ ( hpsafe_a_b_c @ ( choice_a_b_c @ SV58 @ SV177 ) )
| ~ ~ ( ~ ( hpsafe_a_b_c @ SV58 )
| ~ ( hpsafe_a_b_c @ SV177 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1527]) ).
thf(1607,plain,
! [SV326: produc190496183real_c,SV267: produc190496183real_c,SV181: produc190496183real_c,SV62: produc190496183real_c] :
( ( ( ( produc1687028567real_c @ SV62 @ SV181 )
!= ( produc1687028567real_c @ SV267 @ SV326 ) )
= $false )
| ( ( ( produc1687028567real_c @ SV62 @ SV181 )
= ( produc1687028567real_c @ SV267 @ SV326 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1528]) ).
thf(1608,plain,
! [SV326: produc190496183real_c,SV181: produc190496183real_c,SV267: produc190496183real_c,SV62: produc190496183real_c] :
( ( ( ~ ~ ( ( SV62 != SV267 )
| ( SV181 != SV326 ) ) )
= $false )
| ( ( ( produc1687028567real_c @ SV62 @ SV181 )
= ( produc1687028567real_c @ SV267 @ SV326 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1528]) ).
thf(1609,plain,
! [SV326: produc190496183real_c,SV181: produc190496183real_c,SV267: produc190496183real_c,SV62: produc190496183real_c] :
( ( ( SV62 != SV267 )
= $true )
| ( ( SV181 != SV326 )
= $true )
| ( ( ~ ( ( ( produc1687028567real_c @ SV62 @ SV181 )
!= ( produc1687028567real_c @ SV267 @ SV326 ) )
| ~ ~ ( ( SV62 != SV267 )
| ( SV181 != SV326 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1529]) ).
thf(1610,plain,
! [SV327: set_Pr754230471real_c,SV187: set_Pr754230471real_c] :
( ( ( ~ ( ord_le1988344935real_c @ SV187 @ SV327 ) )
= $false )
| ( ( ord_le1988344935real_c @ SV187 @ SV327 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1530]) ).
thf(1611,plain,
! [SV327: set_Pr754230471real_c,SV187: set_Pr754230471real_c] :
( ( ( ~ ! [SY759: produc640052711real_c] :
( ~ ( member346808080real_c @ SY759 @ SV187 )
| ( member346808080real_c @ SY759 @ SV327 ) ) )
= $false )
| ( ( ord_le1988344935real_c @ SV187 @ SV327 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1530]) ).
thf(1612,plain,
! [SV187: set_Pr754230471real_c,SV327: set_Pr754230471real_c] :
( ( ( ~ ( member346808080real_c @ ( sK29_SY759 @ SV327 @ SV187 ) @ SV187 ) )
= $false )
| ( ( ~ ( ~ ( ord_le1988344935real_c @ SV187 @ SV327 )
| ~ ! [SY759: produc640052711real_c] :
( ~ ( member346808080real_c @ SY759 @ SV187 )
| ( member346808080real_c @ SY759 @ SV327 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1531]) ).
thf(1613,plain,
! [SV187: set_Pr754230471real_c,SV327: set_Pr754230471real_c] :
( ( ( member346808080real_c @ ( sK29_SY759 @ SV327 @ SV187 ) @ SV327 )
= $false )
| ( ( ~ ( ~ ( ord_le1988344935real_c @ SV187 @ SV327 )
| ~ ! [SY759: produc640052711real_c] :
( ~ ( member346808080real_c @ SY759 @ SV187 )
| ( member346808080real_c @ SY759 @ SV327 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1531]) ).
thf(1614,plain,
! [SV328: finite1398487019real_c,SV272: finite1398487019real_c,SV190: finite1398487019real_c,SV71: finite1398487019real_c] :
( ( ( ( produc394644079real_c @ SV71 @ SV190 )
!= ( produc394644079real_c @ SV272 @ SV328 ) )
= $false )
| ( ( ( produc394644079real_c @ SV71 @ SV190 )
= ( produc394644079real_c @ SV272 @ SV328 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1532]) ).
thf(1615,plain,
! [SV328: finite1398487019real_c,SV190: finite1398487019real_c,SV272: finite1398487019real_c,SV71: finite1398487019real_c] :
( ( ( ~ ~ ( ( SV71 != SV272 )
| ( SV190 != SV328 ) ) )
= $false )
| ( ( ( produc394644079real_c @ SV71 @ SV190 )
= ( produc394644079real_c @ SV272 @ SV328 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1532]) ).
thf(1616,plain,
! [SV328: finite1398487019real_c,SV190: finite1398487019real_c,SV272: finite1398487019real_c,SV71: finite1398487019real_c] :
( ( ( SV71 != SV272 )
= $true )
| ( ( SV190 != SV328 )
= $true )
| ( ( ~ ( ( ( produc394644079real_c @ SV71 @ SV190 )
!= ( produc394644079real_c @ SV272 @ SV328 ) )
| ~ ~ ( ( SV71 != SV272 )
| ( SV190 != SV328 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1533]) ).
thf(1617,plain,
! [SV273: sum_sum_c_c > $o,SV191: set_Sum_sum_c_c,SV72: set_Sum_sum_c_c,SV344: sum_sum_c_c] :
( ( ( ~ ( ~ ( member_Sum_sum_c_c @ SV344 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
| ~ ( SV273 @ SV344 ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY728: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY728 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
| ~ ( SV273 @ SY728 ) )
| ~ ( ~ ! [SY729: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY729 @ SV72 )
| ~ ( SV273 @ SY729 ) )
| ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1534]) ).
thf(1618,plain,
! [SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV72: set_Sum_sum_c_c,SV345: sum_sum_c_c] :
( ( ( ~ ~ ( ~ ( member_Sum_sum_c_c @ SV345 @ SV72 )
| ~ ( SV273 @ SV345 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY728: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY728 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
| ~ ( SV273 @ SY728 ) )
| ~ ( ~ ! [SY729: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY729 @ SV72 )
| ~ ( SV273 @ SY729 ) )
| ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1535]) ).
thf(1619,plain,
! [SV72: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV191: set_Sum_sum_c_c,SV346: sum_sum_c_c] :
( ( ( ~ ~ ( ~ ( member_Sum_sum_c_c @ SV346 @ SV191 )
| ~ ( SV273 @ SV346 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY728: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY728 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
| ~ ( SV273 @ SY728 ) )
| ~ ( ~ ! [SY729: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY729 @ SV72 )
| ~ ( SV273 @ SY729 ) )
| ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1536]) ).
thf(1620,plain,
! [SV330: produc190496183real_c,SV277: produc190496183real_c,SV197: produc190496183real_c,SV78: produc190496183real_c] :
( ( ( ( produc1687028567real_c @ SV78 @ SV197 )
!= ( produc1687028567real_c @ SV277 @ SV330 ) )
= $false )
| ( ( ( produc1687028567real_c @ SV78 @ SV197 )
= ( produc1687028567real_c @ SV277 @ SV330 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1537]) ).
thf(1621,plain,
! [SV330: produc190496183real_c,SV197: produc190496183real_c,SV277: produc190496183real_c,SV78: produc190496183real_c] :
( ( ( ~ ~ ( ( SV78 != SV277 )
| ( SV197 != SV330 ) ) )
= $false )
| ( ( ( produc1687028567real_c @ SV78 @ SV197 )
= ( produc1687028567real_c @ SV277 @ SV330 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1537]) ).
thf(1622,plain,
! [SV330: produc190496183real_c,SV197: produc190496183real_c,SV277: produc190496183real_c,SV78: produc190496183real_c] :
( ( ( SV78 != SV277 )
= $true )
| ( ( SV197 != SV330 )
= $true )
| ( ( ~ ( ( ( produc1687028567real_c @ SV78 @ SV197 )
!= ( produc1687028567real_c @ SV277 @ SV330 ) )
| ~ ~ ( ( SV78 != SV277 )
| ( SV197 != SV330 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1538]) ).
thf(1623,plain,
! [SV331: set_Pr754230471real_c,SV199: set_Pr754230471real_c] :
( ( ( ~ ( ord_le1988344935real_c @ SV199 @ SV331 ) )
= $false )
| ( ( ord_le1988344935real_c @ SV199 @ SV331 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1539]) ).
thf(1624,plain,
! [SV331: set_Pr754230471real_c,SV199: set_Pr754230471real_c] :
( ( ( ~ ! [SY760: produc640052711real_c] :
( ~ ( member346808080real_c @ SY760 @ SV199 )
| ( member346808080real_c @ SY760 @ SV331 ) ) )
= $false )
| ( ( ord_le1988344935real_c @ SV199 @ SV331 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1539]) ).
thf(1625,plain,
! [SV199: set_Pr754230471real_c,SV331: set_Pr754230471real_c] :
( ( ( ~ ( member346808080real_c @ ( sK30_SY760 @ SV331 @ SV199 ) @ SV199 ) )
= $false )
| ( ( ~ ( ~ ( ord_le1988344935real_c @ SV199 @ SV331 )
| ~ ! [SY760: produc640052711real_c] :
( ~ ( member346808080real_c @ SY760 @ SV199 )
| ( member346808080real_c @ SY760 @ SV331 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1540]) ).
thf(1626,plain,
! [SV199: set_Pr754230471real_c,SV331: set_Pr754230471real_c] :
( ( ( member346808080real_c @ ( sK30_SY760 @ SV331 @ SV199 ) @ SV331 )
= $false )
| ( ( ~ ( ~ ( ord_le1988344935real_c @ SV199 @ SV331 )
| ~ ! [SY760: produc640052711real_c] :
( ~ ( member346808080real_c @ SY760 @ SV199 )
| ( member346808080real_c @ SY760 @ SV331 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1540]) ).
thf(1627,plain,
! [SV94: set_Sum_sum_c_c,SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o] :
( ( ( member_Sum_sum_c_c @ ( sK28_SY740 @ SV290 @ SV211 @ SV94 ) @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
= $true )
| ( ( ~ ( ~ ! [SY740: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY740 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
| ( SV290 @ SY740 ) )
| ~ ~ ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) )
| ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1541]) ).
thf(1628,plain,
! [SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c,SV94: set_Sum_sum_c_c] :
( ( ( ~ ! [SY740: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY740 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
| ( SV290 @ SY740 ) )
| ~ ~ ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) )
| ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) ) )
= $false )
| ( ( SV290 @ ( sK28_SY740 @ SV290 @ SV211 @ SV94 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1542]) ).
thf(1629,plain,
! [SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV94: set_Sum_sum_c_c] :
( ( ( ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) ) )
= $false )
| ( ( ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY740: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY740 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
| ( SV290 @ SY740 ) )
| ~ ~ ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) )
| ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1543]) ).
thf(1630,plain,
! [SV292: set_Sum_sum_c_c,SV213: set_Sum_sum_c_c,SV96: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV96 @ SV213 ) @ SV292 )
= $true )
| ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV96 @ SV213 ) @ SV292 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1544]) ).
thf(1631,plain,
! [SV213: set_Sum_sum_c_c,SV292: set_Sum_sum_c_c,SV96: set_Sum_sum_c_c] :
( ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV96 @ SV292 )
| ~ ( ord_le1772180283um_c_c @ SV213 @ SV292 ) ) )
= $true )
| ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV96 @ SV213 ) @ SV292 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1545]) ).
thf(1632,plain,
! [SV213: set_Sum_sum_c_c,SV292: set_Sum_sum_c_c,SV96: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV96 @ SV292 )
= $false )
| ( ( ~ ( ord_le1772180283um_c_c @ SV213 @ SV292 ) )
= $true )
| ( ( ~ ( ~ ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV96 @ SV213 ) @ SV292 )
| ~ ~ ( ~ ( ord_le1772180283um_c_c @ SV96 @ SV292 )
| ~ ( ord_le1772180283um_c_c @ SV213 @ SV292 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1546]) ).
thf(1633,plain,
! [SV294: set_Sum_sum_c_c,SV215: set_Sum_sum_c_c,SV98: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV98 @ SV215 ) @ SV294 )
= $true )
| ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV98 @ SV215 ) @ SV294 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1547]) ).
thf(1634,plain,
! [SV215: set_Sum_sum_c_c,SV294: set_Sum_sum_c_c,SV98: set_Sum_sum_c_c] :
( ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV98 @ SV294 )
| ~ ( ord_le1772180283um_c_c @ SV215 @ SV294 ) ) )
= $true )
| ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV98 @ SV215 ) @ SV294 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1548]) ).
thf(1635,plain,
! [SV215: set_Sum_sum_c_c,SV294: set_Sum_sum_c_c,SV98: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV98 @ SV294 )
= $false )
| ( ( ~ ( ord_le1772180283um_c_c @ SV215 @ SV294 ) )
= $true )
| ( ( ~ ( ~ ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV98 @ SV215 ) @ SV294 )
| ~ ~ ( ~ ( ord_le1772180283um_c_c @ SV98 @ SV294 )
| ~ ( ord_le1772180283um_c_c @ SV215 @ SV294 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1549]) ).
thf(1636,plain,
! [SV298: set_Sum_sum_c_c,SV220: set_Sum_sum_c_c,SV103: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV103 @ SV220 ) @ SV298 )
= $true )
| ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV103 @ SV220 ) @ SV298 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1550]) ).
thf(1637,plain,
! [SV220: set_Sum_sum_c_c,SV298: set_Sum_sum_c_c,SV103: set_Sum_sum_c_c] :
( ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV103 @ SV298 )
| ~ ( ord_le1772180283um_c_c @ SV220 @ SV298 ) ) )
= $true )
| ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV103 @ SV220 ) @ SV298 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1551]) ).
thf(1638,plain,
! [SV220: set_Sum_sum_c_c,SV298: set_Sum_sum_c_c,SV103: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV103 @ SV298 )
= $false )
| ( ( ~ ( ord_le1772180283um_c_c @ SV220 @ SV298 ) )
= $true )
| ( ( ~ ( ~ ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV103 @ SV220 ) @ SV298 )
| ~ ~ ( ~ ( ord_le1772180283um_c_c @ SV103 @ SV298 )
| ~ ( ord_le1772180283um_c_c @ SV220 @ SV298 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1552]) ).
thf(1639,plain,
! [SV223: set_Sum_sum_c_c,SV300: set_Sum_sum_c_c,SV107: set_Sum_sum_c_c > set_Sum_sum_c_c > set_Sum_sum_c_c] :
( ( ( ! [SY771: set_Sum_sum_c_c] : ( ord_le1772180283um_c_c @ SY771 @ ( SV107 @ ( sK32_SY555 @ SV300 @ SV223 @ SV107 ) @ SY771 ) ) )
= $false )
| ( ( ~ ! [SY557: set_Sum_sum_c_c,SY558: set_Sum_sum_c_c,SY559: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SY558 @ SY557 )
| ~ ( ord_le1772180283um_c_c @ SY559 @ SY557 )
| ( ord_le1772180283um_c_c @ ( SV107 @ SY558 @ SY559 ) @ SY557 ) )
| ( ( sup_su1349021703um_c_c @ SV223 @ SV300 )
= ( SV107 @ SV223 @ SV300 ) ) )
= $true )
| ( ( ord_le1772180283um_c_c @ ( sK23_SY553 @ SV300 @ SV223 @ SV107 ) @ ( SV107 @ ( sK23_SY553 @ SV300 @ SV223 @ SV107 ) @ ( sK26_SY769 @ SV107 @ SV223 @ SV300 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1553]) ).
thf(1640,plain,
! [SV306: set_Sum_sum_c_c,SV114: set_Sum_sum_c_c,SV230: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ ( sK31_SY770 @ SV230 @ SV114 @ SV306 ) @ SV306 ) )
= $false )
| ( ( ord_le1772180283um_c_c @ SV114 @ ( sup_su1349021703um_c_c @ SV230 @ SV306 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1555]) ).
thf(1641,plain,
! [SV230: set_Sum_sum_c_c,SV306: set_Sum_sum_c_c,SV114: set_Sum_sum_c_c] :
( ( ( SV114
!= ( sup_su1349021703um_c_c @ ( sK27_SY751 @ SV114 @ SV306 @ SV230 ) @ ( sK31_SY770 @ SV230 @ SV114 @ SV306 ) ) )
= $false )
| ( ( ord_le1772180283um_c_c @ SV114 @ ( sup_su1349021703um_c_c @ SV230 @ SV306 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1555]) ).
thf(1642,plain,
! [SV121: produc190496183real_c,SV236: produc640052711real_c] :
( ( ( ! [SY715: produc190496183real_c] :
( SV236
!= ( produc1687028567real_c @ SY715 @ SV121 ) ) )
= $false )
| ( ( SV121
= ( produc415593093real_c @ SV236 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1559]) ).
thf(1643,plain,
! [SV342: produc190496183real_c,SV236: produc640052711real_c,SV121: produc190496183real_c] :
( ( ( ( SV121
!= ( produc415593093real_c @ SV236 ) )
| ~ ~ ! [SY715: produc190496183real_c] :
( SV236
!= ( produc1687028567real_c @ SY715 @ SV121 ) ) )
= $false )
| ( ( SV236
= ( produc1687028567real_c @ SV342 @ SV121 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1560]) ).
thf(1644,plain,
! [SV122: finite1398487019real_c,SV237: produc190496183real_c] :
( ( ( ! [SY716: finite1398487019real_c] :
( SV237
!= ( produc394644079real_c @ SV122 @ SY716 ) ) )
= $false )
| ( ( SV122
= ( produc2010422875real_c @ SV237 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1562]) ).
thf(1645,plain,
! [SV343: finite1398487019real_c,SV237: produc190496183real_c,SV122: finite1398487019real_c] :
( ( ( ( SV122
!= ( produc2010422875real_c @ SV237 ) )
| ~ ~ ! [SY716: finite1398487019real_c] :
( SV237
!= ( produc394644079real_c @ SV122 @ SY716 ) ) )
= $false )
| ( ( SV237
= ( produc394644079real_c @ SV122 @ SV343 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1563]) ).
thf(1646,plain,
! [SV339: finite1398487019real_c,SV313: finite1398487019real_c,SV239: finite1398487019real_c,SV124: finite1398487019real_c] :
( ( ( ( produc394644079real_c @ SV124 @ SV239 )
!= ( produc394644079real_c @ SV313 @ SV339 ) )
= $false )
| ( ( ( produc394644079real_c @ SV124 @ SV239 )
= ( produc394644079real_c @ SV313 @ SV339 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1564]) ).
thf(1647,plain,
! [SV339: finite1398487019real_c,SV239: finite1398487019real_c,SV313: finite1398487019real_c,SV124: finite1398487019real_c] :
( ( ( ~ ~ ( ( SV124 != SV313 )
| ( SV239 != SV339 ) ) )
= $false )
| ( ( ( produc394644079real_c @ SV124 @ SV239 )
= ( produc394644079real_c @ SV313 @ SV339 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1564]) ).
thf(1648,plain,
! [SV339: finite1398487019real_c,SV239: finite1398487019real_c,SV313: finite1398487019real_c,SV124: finite1398487019real_c] :
( ( ( SV124 != SV313 )
= $true )
| ( ( SV239 != SV339 )
= $true )
| ( ( ~ ( ( ( produc394644079real_c @ SV124 @ SV239 )
!= ( produc394644079real_c @ SV313 @ SV339 ) )
| ~ ~ ( ( SV124 != SV313 )
| ( SV239 != SV339 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1565]) ).
thf(1649,plain,
! [SV240: set_Pr754230471real_c,SV125: set_Pr754230471real_c,SV1: produc640052711real_c] :
( ( ( member346808080real_c @ SV1 @ SV125 )
= $true )
| ( ( member346808080real_c @ SV1 @ SV240 )
= $true )
| ( ( member346808080real_c @ SV1 @ ( sup_su588839579real_c @ SV125 @ SV240 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1567]) ).
thf(1650,plain,
! [SV240: set_Pr754230471real_c,SV125: set_Pr754230471real_c,SV1: produc640052711real_c] :
( ( ( member346808080real_c @ SV1 @ ( sup_su588839579real_c @ SV125 @ SV240 ) )
= $true )
| ( ( member346808080real_c @ SV1 @ SV125 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1568]) ).
thf(1651,plain,
! [SV240: set_Pr754230471real_c,SV125: set_Pr754230471real_c,SV1: produc640052711real_c] :
( ( ( ( member346808080real_c @ SV1 @ SV125 )
| ( member346808080real_c @ SV1 @ SV240 ) )
= $true )
| ( ( member346808080real_c @ SV1 @ SV125 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1569]) ).
thf(1652,plain,
! [SV240: set_Pr754230471real_c,SV125: set_Pr754230471real_c,SV1: produc640052711real_c] :
( ( ( member346808080real_c @ SV1 @ ( sup_su588839579real_c @ SV125 @ SV240 ) )
= $true )
| ( ( member346808080real_c @ SV1 @ SV240 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1570]) ).
thf(1653,plain,
! [SV240: set_Pr754230471real_c,SV125: set_Pr754230471real_c,SV1: produc640052711real_c] :
( ( ( ( member346808080real_c @ SV1 @ SV125 )
| ( member346808080real_c @ SV1 @ SV240 ) )
= $true )
| ( ( member346808080real_c @ SV1 @ SV240 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1571]) ).
thf(1654,plain,
! [SV241: set_Sum_sum_c_c,SV126: set_Sum_sum_c_c,SV2: sum_sum_c_c] :
( ( ( member_Sum_sum_c_c @ SV2 @ SV126 )
= $true )
| ( ( member_Sum_sum_c_c @ SV2 @ SV241 )
= $true )
| ( ( member_Sum_sum_c_c @ SV2 @ ( sup_su1349021703um_c_c @ SV126 @ SV241 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1573]) ).
thf(1655,plain,
! [SV241: set_Sum_sum_c_c,SV126: set_Sum_sum_c_c,SV2: sum_sum_c_c] :
( ( ( member_Sum_sum_c_c @ SV2 @ ( sup_su1349021703um_c_c @ SV126 @ SV241 ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV2 @ SV126 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1574]) ).
thf(1656,plain,
! [SV241: set_Sum_sum_c_c,SV126: set_Sum_sum_c_c,SV2: sum_sum_c_c] :
( ( ( ( member_Sum_sum_c_c @ SV2 @ SV126 )
| ( member_Sum_sum_c_c @ SV2 @ SV241 ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV2 @ SV126 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1575]) ).
thf(1657,plain,
! [SV241: set_Sum_sum_c_c,SV126: set_Sum_sum_c_c,SV2: sum_sum_c_c] :
( ( ( member_Sum_sum_c_c @ SV2 @ ( sup_su1349021703um_c_c @ SV126 @ SV241 ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV2 @ SV241 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1576]) ).
thf(1658,plain,
! [SV241: set_Sum_sum_c_c,SV126: set_Sum_sum_c_c,SV2: sum_sum_c_c] :
( ( ( ( member_Sum_sum_c_c @ SV2 @ SV126 )
| ( member_Sum_sum_c_c @ SV2 @ SV241 ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV2 @ SV241 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1577]) ).
thf(1659,plain,
! [SV314: set_Sum_sum_c_c,SV131: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV131 @ SV314 )
= $true )
| ( ( ord_le1772180283um_c_c @ SV131 @ SV314 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1578]) ).
thf(1660,plain,
! [SV314: set_Sum_sum_c_c,SV131: set_Sum_sum_c_c] :
( ( ( ( sup_su1349021703um_c_c @ SV131 @ SV314 )
= SV314 )
= $true )
| ( ( ord_le1772180283um_c_c @ SV131 @ SV314 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1579]) ).
thf(1661,plain,
! [SV314: set_Sum_sum_c_c,SV131: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV131 @ SV314 )
= $true )
| ( ( ( sup_su1349021703um_c_c @ SV131 @ SV314 )
= SV314 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1580]) ).
thf(1662,plain,
! [SV314: set_Sum_sum_c_c,SV131: set_Sum_sum_c_c] :
( ( ( ( sup_su1349021703um_c_c @ SV131 @ SV314 )
= SV314 )
= $true )
| ( ( ( sup_su1349021703um_c_c @ SV131 @ SV314 )
= SV314 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1581]) ).
thf(1663,plain,
! [SV315: set_Sum_sum_c_c,SV132: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV132 @ SV315 )
= $true )
| ( ( ord_le1772180283um_c_c @ SV132 @ SV315 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1582]) ).
thf(1664,plain,
! [SV132: set_Sum_sum_c_c,SV315: set_Sum_sum_c_c] :
( ( ( ( sup_su1349021703um_c_c @ SV315 @ SV132 )
= SV315 )
= $true )
| ( ( ord_le1772180283um_c_c @ SV132 @ SV315 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1583]) ).
thf(1665,plain,
! [SV315: set_Sum_sum_c_c,SV132: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV132 @ SV315 )
= $true )
| ( ( ( sup_su1349021703um_c_c @ SV315 @ SV132 )
= SV315 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1584]) ).
thf(1666,plain,
! [SV132: set_Sum_sum_c_c,SV315: set_Sum_sum_c_c] :
( ( ( ( sup_su1349021703um_c_c @ SV315 @ SV132 )
= SV315 )
= $true )
| ( ( ( sup_su1349021703um_c_c @ SV315 @ SV132 )
= SV315 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1585]) ).
thf(1667,plain,
! [SV316: set_Sum_sum_c_c,SV135: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV135 @ SV316 )
= $true )
| ( ( ord_le1772180283um_c_c @ SV135 @ SV316 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1586]) ).
thf(1668,plain,
! [SV135: set_Sum_sum_c_c,SV316: set_Sum_sum_c_c] :
( ( ( SV316
= ( sup_su1349021703um_c_c @ SV316 @ SV135 ) )
= $true )
| ( ( ord_le1772180283um_c_c @ SV135 @ SV316 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1587]) ).
thf(1669,plain,
! [SV316: set_Sum_sum_c_c,SV135: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV135 @ SV316 )
= $true )
| ( ( SV316
= ( sup_su1349021703um_c_c @ SV316 @ SV135 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1588]) ).
thf(1670,plain,
! [SV135: set_Sum_sum_c_c,SV316: set_Sum_sum_c_c] :
( ( ( SV316
= ( sup_su1349021703um_c_c @ SV316 @ SV135 ) )
= $true )
| ( ( SV316
= ( sup_su1349021703um_c_c @ SV316 @ SV135 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1589]) ).
thf(1671,plain,
! [SV317: set_Sum_sum_c_c,SV136: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV136 @ SV317 )
= $true )
| ( ( ord_le1772180283um_c_c @ SV136 @ SV317 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1590]) ).
thf(1672,plain,
! [SV317: set_Sum_sum_c_c,SV136: set_Sum_sum_c_c] :
( ( ( ( sup_su1349021703um_c_c @ SV136 @ SV317 )
= SV317 )
= $true )
| ( ( ord_le1772180283um_c_c @ SV136 @ SV317 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1591]) ).
thf(1673,plain,
! [SV317: set_Sum_sum_c_c,SV136: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV136 @ SV317 )
= $true )
| ( ( ( sup_su1349021703um_c_c @ SV136 @ SV317 )
= SV317 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1592]) ).
thf(1674,plain,
! [SV317: set_Sum_sum_c_c,SV136: set_Sum_sum_c_c] :
( ( ( ( sup_su1349021703um_c_c @ SV136 @ SV317 )
= SV317 )
= $true )
| ( ( ( sup_su1349021703um_c_c @ SV136 @ SV317 )
= SV317 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1593]) ).
thf(1675,plain,
! [SV318: set_Sum_sum_c_c,SV141: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV141 @ SV318 )
= $true )
| ( ( ord_le1772180283um_c_c @ SV141 @ SV318 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1594]) ).
thf(1676,plain,
! [SV318: set_Sum_sum_c_c,SV141: set_Sum_sum_c_c] :
( ( ( ( sup_su1349021703um_c_c @ SV141 @ SV318 )
= SV318 )
= $true )
| ( ( ord_le1772180283um_c_c @ SV141 @ SV318 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1595]) ).
thf(1677,plain,
! [SV318: set_Sum_sum_c_c,SV141: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV141 @ SV318 )
= $true )
| ( ( ( sup_su1349021703um_c_c @ SV141 @ SV318 )
= SV318 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1596]) ).
thf(1678,plain,
! [SV318: set_Sum_sum_c_c,SV141: set_Sum_sum_c_c] :
( ( ( ( sup_su1349021703um_c_c @ SV141 @ SV318 )
= SV318 )
= $true )
| ( ( ( sup_su1349021703um_c_c @ SV141 @ SV318 )
= SV318 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1597]) ).
thf(1679,plain,
! [SV47: finite1398487019real_c,SV167: produc190496183real_c] :
( ( ( SV167
!= ( produc394644079real_c @ ( sK33_SY620 @ SV47 @ SV167 ) @ SV47 ) )
= $false )
| ( ( SV47
= ( produc314122909real_c @ SV167 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1598]) ).
thf(1680,plain,
! [SV340: finite1398487019real_c,SV167: produc190496183real_c,SV47: finite1398487019real_c] :
( ( ( SV47
!= ( produc314122909real_c @ SV167 ) )
= $false )
| ( ( SV167
= ( produc394644079real_c @ SV340 @ SV47 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1599]) ).
thf(1681,plain,
! [SV340: finite1398487019real_c,SV47: finite1398487019real_c,SV167: produc190496183real_c] :
( ( ( ~ ~ ! [SY620: finite1398487019real_c] :
( SV167
!= ( produc394644079real_c @ SY620 @ SV47 ) ) )
= $false )
| ( ( SV167
= ( produc394644079real_c @ SV340 @ SV47 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1599]) ).
thf(1682,plain,
! [SV48: produc190496183real_c,SV168: produc640052711real_c] :
( ( ( SV168
!= ( produc1687028567real_c @ SV48 @ ( sK34_SY621 @ SV48 @ SV168 ) ) )
= $false )
| ( ( SV48
= ( produc876006723real_c @ SV168 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1600]) ).
thf(1683,plain,
! [SV341: produc190496183real_c,SV168: produc640052711real_c,SV48: produc190496183real_c] :
( ( ( SV48
!= ( produc876006723real_c @ SV168 ) )
= $false )
| ( ( SV168
= ( produc1687028567real_c @ SV48 @ SV341 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1601]) ).
thf(1684,plain,
! [SV341: produc190496183real_c,SV48: produc190496183real_c,SV168: produc640052711real_c] :
( ( ( ~ ~ ! [SY621: produc190496183real_c] :
( SV168
!= ( produc1687028567real_c @ SV48 @ SY621 ) ) )
= $false )
| ( ( SV168
= ( produc1687028567real_c @ SV48 @ SV341 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1601]) ).
thf(1685,plain,
! [SV324: hp_a_b_c,SV263: hp_a_b_c,SV174: hp_a_b_c,SV55: hp_a_b_c] :
( ( ( ( choice_a_b_c @ SV55 @ SV174 )
= ( choice_a_b_c @ SV263 @ SV324 ) )
= $true )
| ( ( ( choice_a_b_c @ SV55 @ SV174 )
= ( choice_a_b_c @ SV263 @ SV324 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1602]) ).
thf(1686,plain,
! [SV324: hp_a_b_c,SV174: hp_a_b_c,SV263: hp_a_b_c,SV55: hp_a_b_c] :
( ( ( ~ ( ( SV55 != SV263 )
| ( SV174 != SV324 ) ) )
= $true )
| ( ( ( choice_a_b_c @ SV55 @ SV174 )
= ( choice_a_b_c @ SV263 @ SV324 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1603]) ).
thf(1687,plain,
! [SV324: hp_a_b_c,SV174: hp_a_b_c,SV263: hp_a_b_c,SV55: hp_a_b_c] :
( ( ( SV55 = SV263 )
= $false )
| ( ( SV174 != SV324 )
= $true )
| ( ( ~ ( ( ( choice_a_b_c @ SV55 @ SV174 )
!= ( choice_a_b_c @ SV263 @ SV324 ) )
| ~ ~ ( ( SV55 != SV263 )
| ( SV174 != SV324 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1604]) ).
thf(1688,plain,
! [SV177: hp_a_b_c,SV58: hp_a_b_c] :
( ( ( ~ ( hpsafe_a_b_c @ SV58 ) )
= $false )
| ( ( hpsafe_a_b_c @ ( choice_a_b_c @ SV58 @ SV177 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1605]) ).
thf(1689,plain,
! [SV58: hp_a_b_c,SV177: hp_a_b_c] :
( ( ( ~ ( hpsafe_a_b_c @ SV177 ) )
= $false )
| ( ( hpsafe_a_b_c @ ( choice_a_b_c @ SV58 @ SV177 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1605]) ).
thf(1690,plain,
! [SV177: hp_a_b_c,SV58: hp_a_b_c] :
( ( ( ~ ( hpsafe_a_b_c @ ( choice_a_b_c @ SV58 @ SV177 ) )
| ~ ~ ( ~ ( hpsafe_a_b_c @ SV58 )
| ~ ( hpsafe_a_b_c @ SV177 ) ) )
= $false )
| ( ( hpsafe_a_b_c @ SV58 )
= $false )
| ( ( hpsafe_a_b_c @ SV177 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1606]) ).
thf(1691,plain,
! [SV326: produc190496183real_c,SV267: produc190496183real_c,SV181: produc190496183real_c,SV62: produc190496183real_c] :
( ( ( ( produc1687028567real_c @ SV62 @ SV181 )
= ( produc1687028567real_c @ SV267 @ SV326 ) )
= $true )
| ( ( ( produc1687028567real_c @ SV62 @ SV181 )
= ( produc1687028567real_c @ SV267 @ SV326 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1607]) ).
thf(1692,plain,
! [SV326: produc190496183real_c,SV181: produc190496183real_c,SV267: produc190496183real_c,SV62: produc190496183real_c] :
( ( ( ~ ( ( SV62 != SV267 )
| ( SV181 != SV326 ) ) )
= $true )
| ( ( ( produc1687028567real_c @ SV62 @ SV181 )
= ( produc1687028567real_c @ SV267 @ SV326 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1608]) ).
thf(1693,plain,
! [SV326: produc190496183real_c,SV181: produc190496183real_c,SV267: produc190496183real_c,SV62: produc190496183real_c] :
( ( ( SV62 = SV267 )
= $false )
| ( ( SV181 != SV326 )
= $true )
| ( ( ~ ( ( ( produc1687028567real_c @ SV62 @ SV181 )
!= ( produc1687028567real_c @ SV267 @ SV326 ) )
| ~ ~ ( ( SV62 != SV267 )
| ( SV181 != SV326 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1609]) ).
thf(1694,plain,
! [SV327: set_Pr754230471real_c,SV187: set_Pr754230471real_c] :
( ( ( ord_le1988344935real_c @ SV187 @ SV327 )
= $true )
| ( ( ord_le1988344935real_c @ SV187 @ SV327 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1610]) ).
thf(1695,plain,
! [SV327: set_Pr754230471real_c,SV187: set_Pr754230471real_c] :
( ( ( ! [SY759: produc640052711real_c] :
( ~ ( member346808080real_c @ SY759 @ SV187 )
| ( member346808080real_c @ SY759 @ SV327 ) ) )
= $true )
| ( ( ord_le1988344935real_c @ SV187 @ SV327 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1611]) ).
thf(1696,plain,
! [SV187: set_Pr754230471real_c,SV327: set_Pr754230471real_c] :
( ( ( member346808080real_c @ ( sK29_SY759 @ SV327 @ SV187 ) @ SV187 )
= $true )
| ( ( ~ ( ~ ( ord_le1988344935real_c @ SV187 @ SV327 )
| ~ ! [SY759: produc640052711real_c] :
( ~ ( member346808080real_c @ SY759 @ SV187 )
| ( member346808080real_c @ SY759 @ SV327 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1612]) ).
thf(1697,plain,
! [SV327: set_Pr754230471real_c,SV187: set_Pr754230471real_c] :
( ( ( ~ ( ord_le1988344935real_c @ SV187 @ SV327 )
| ~ ! [SY759: produc640052711real_c] :
( ~ ( member346808080real_c @ SY759 @ SV187 )
| ( member346808080real_c @ SY759 @ SV327 ) ) )
= $false )
| ( ( member346808080real_c @ ( sK29_SY759 @ SV327 @ SV187 ) @ SV327 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1613]) ).
thf(1698,plain,
! [SV328: finite1398487019real_c,SV272: finite1398487019real_c,SV190: finite1398487019real_c,SV71: finite1398487019real_c] :
( ( ( ( produc394644079real_c @ SV71 @ SV190 )
= ( produc394644079real_c @ SV272 @ SV328 ) )
= $true )
| ( ( ( produc394644079real_c @ SV71 @ SV190 )
= ( produc394644079real_c @ SV272 @ SV328 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1614]) ).
thf(1699,plain,
! [SV328: finite1398487019real_c,SV190: finite1398487019real_c,SV272: finite1398487019real_c,SV71: finite1398487019real_c] :
( ( ( ~ ( ( SV71 != SV272 )
| ( SV190 != SV328 ) ) )
= $true )
| ( ( ( produc394644079real_c @ SV71 @ SV190 )
= ( produc394644079real_c @ SV272 @ SV328 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1615]) ).
thf(1700,plain,
! [SV328: finite1398487019real_c,SV190: finite1398487019real_c,SV272: finite1398487019real_c,SV71: finite1398487019real_c] :
( ( ( SV71 = SV272 )
= $false )
| ( ( SV190 != SV328 )
= $true )
| ( ( ~ ( ( ( produc394644079real_c @ SV71 @ SV190 )
!= ( produc394644079real_c @ SV272 @ SV328 ) )
| ~ ~ ( ( SV71 != SV272 )
| ( SV190 != SV328 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1616]) ).
thf(1701,plain,
! [SV273: sum_sum_c_c > $o,SV191: set_Sum_sum_c_c,SV72: set_Sum_sum_c_c,SV344: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ SV344 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
| ~ ( SV273 @ SV344 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY728: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY728 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
| ~ ( SV273 @ SY728 ) )
| ~ ( ~ ! [SY729: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY729 @ SV72 )
| ~ ( SV273 @ SY729 ) )
| ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1617]) ).
thf(1702,plain,
! [SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV72: set_Sum_sum_c_c,SV345: sum_sum_c_c] :
( ( ( ~ ( ~ ( member_Sum_sum_c_c @ SV345 @ SV72 )
| ~ ( SV273 @ SV345 ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY728: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY728 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
| ~ ( SV273 @ SY728 ) )
| ~ ( ~ ! [SY729: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY729 @ SV72 )
| ~ ( SV273 @ SY729 ) )
| ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1618]) ).
thf(1703,plain,
! [SV72: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV191: set_Sum_sum_c_c,SV346: sum_sum_c_c] :
( ( ( ~ ( ~ ( member_Sum_sum_c_c @ SV346 @ SV191 )
| ~ ( SV273 @ SV346 ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY728: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY728 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
| ~ ( SV273 @ SY728 ) )
| ~ ( ~ ! [SY729: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY729 @ SV72 )
| ~ ( SV273 @ SY729 ) )
| ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1619]) ).
thf(1704,plain,
! [SV330: produc190496183real_c,SV277: produc190496183real_c,SV197: produc190496183real_c,SV78: produc190496183real_c] :
( ( ( ( produc1687028567real_c @ SV78 @ SV197 )
= ( produc1687028567real_c @ SV277 @ SV330 ) )
= $true )
| ( ( ( produc1687028567real_c @ SV78 @ SV197 )
= ( produc1687028567real_c @ SV277 @ SV330 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1620]) ).
thf(1705,plain,
! [SV330: produc190496183real_c,SV197: produc190496183real_c,SV277: produc190496183real_c,SV78: produc190496183real_c] :
( ( ( ~ ( ( SV78 != SV277 )
| ( SV197 != SV330 ) ) )
= $true )
| ( ( ( produc1687028567real_c @ SV78 @ SV197 )
= ( produc1687028567real_c @ SV277 @ SV330 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1621]) ).
thf(1706,plain,
! [SV330: produc190496183real_c,SV197: produc190496183real_c,SV277: produc190496183real_c,SV78: produc190496183real_c] :
( ( ( SV78 = SV277 )
= $false )
| ( ( SV197 != SV330 )
= $true )
| ( ( ~ ( ( ( produc1687028567real_c @ SV78 @ SV197 )
!= ( produc1687028567real_c @ SV277 @ SV330 ) )
| ~ ~ ( ( SV78 != SV277 )
| ( SV197 != SV330 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1622]) ).
thf(1707,plain,
! [SV331: set_Pr754230471real_c,SV199: set_Pr754230471real_c] :
( ( ( ord_le1988344935real_c @ SV199 @ SV331 )
= $true )
| ( ( ord_le1988344935real_c @ SV199 @ SV331 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1623]) ).
thf(1708,plain,
! [SV331: set_Pr754230471real_c,SV199: set_Pr754230471real_c] :
( ( ( ! [SY760: produc640052711real_c] :
( ~ ( member346808080real_c @ SY760 @ SV199 )
| ( member346808080real_c @ SY760 @ SV331 ) ) )
= $true )
| ( ( ord_le1988344935real_c @ SV199 @ SV331 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1624]) ).
thf(1709,plain,
! [SV199: set_Pr754230471real_c,SV331: set_Pr754230471real_c] :
( ( ( member346808080real_c @ ( sK30_SY760 @ SV331 @ SV199 ) @ SV199 )
= $true )
| ( ( ~ ( ~ ( ord_le1988344935real_c @ SV199 @ SV331 )
| ~ ! [SY760: produc640052711real_c] :
( ~ ( member346808080real_c @ SY760 @ SV199 )
| ( member346808080real_c @ SY760 @ SV331 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1625]) ).
thf(1710,plain,
! [SV331: set_Pr754230471real_c,SV199: set_Pr754230471real_c] :
( ( ( ~ ( ord_le1988344935real_c @ SV199 @ SV331 )
| ~ ! [SY760: produc640052711real_c] :
( ~ ( member346808080real_c @ SY760 @ SV199 )
| ( member346808080real_c @ SY760 @ SV331 ) ) )
= $false )
| ( ( member346808080real_c @ ( sK30_SY760 @ SV331 @ SV199 ) @ SV331 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1626]) ).
thf(1711,plain,
! [SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c,SV94: set_Sum_sum_c_c] :
( ( ( ~ ! [SY740: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY740 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
| ( SV290 @ SY740 ) )
| ~ ~ ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) )
| ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ ( sK28_SY740 @ SV290 @ SV211 @ SV94 ) @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1627]) ).
thf(1712,plain,
! [SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c,SV94: set_Sum_sum_c_c] :
( ( ( ~ ! [SY740: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY740 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
| ( SV290 @ SY740 ) ) )
= $false )
| ( ( SV290 @ ( sK28_SY740 @ SV290 @ SV211 @ SV94 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1628]) ).
thf(1713,plain,
! [SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV94: set_Sum_sum_c_c] :
( ( ( ~ ~ ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) )
| ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) ) )
= $false )
| ( ( SV290 @ ( sK28_SY740 @ SV290 @ SV211 @ SV94 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1628]) ).
thf(1714,plain,
! [SV94: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) @ SV94 )
| ( SV290 @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) ) )
= $false )
| ( ( ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY740: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY740 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
| ( SV290 @ SY740 ) )
| ~ ~ ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) )
| ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1629]) ).
thf(1715,plain,
! [SV213: set_Sum_sum_c_c,SV292: set_Sum_sum_c_c,SV96: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV96 @ SV292 )
| ~ ( ord_le1772180283um_c_c @ SV213 @ SV292 ) )
= $false )
| ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV96 @ SV213 ) @ SV292 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1631]) ).
thf(1716,plain,
! [SV96: set_Sum_sum_c_c,SV292: set_Sum_sum_c_c,SV213: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV213 @ SV292 )
= $false )
| ( ( ord_le1772180283um_c_c @ SV96 @ SV292 )
= $false )
| ( ( ~ ( ~ ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV96 @ SV213 ) @ SV292 )
| ~ ~ ( ~ ( ord_le1772180283um_c_c @ SV96 @ SV292 )
| ~ ( ord_le1772180283um_c_c @ SV213 @ SV292 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1632]) ).
thf(1717,plain,
! [SV215: set_Sum_sum_c_c,SV294: set_Sum_sum_c_c,SV98: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV98 @ SV294 )
| ~ ( ord_le1772180283um_c_c @ SV215 @ SV294 ) )
= $false )
| ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV98 @ SV215 ) @ SV294 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1634]) ).
thf(1718,plain,
! [SV98: set_Sum_sum_c_c,SV294: set_Sum_sum_c_c,SV215: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV215 @ SV294 )
= $false )
| ( ( ord_le1772180283um_c_c @ SV98 @ SV294 )
= $false )
| ( ( ~ ( ~ ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV98 @ SV215 ) @ SV294 )
| ~ ~ ( ~ ( ord_le1772180283um_c_c @ SV98 @ SV294 )
| ~ ( ord_le1772180283um_c_c @ SV215 @ SV294 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1635]) ).
thf(1719,plain,
! [SV220: set_Sum_sum_c_c,SV298: set_Sum_sum_c_c,SV103: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV103 @ SV298 )
| ~ ( ord_le1772180283um_c_c @ SV220 @ SV298 ) )
= $false )
| ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV103 @ SV220 ) @ SV298 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1637]) ).
thf(1720,plain,
! [SV103: set_Sum_sum_c_c,SV298: set_Sum_sum_c_c,SV220: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV220 @ SV298 )
= $false )
| ( ( ord_le1772180283um_c_c @ SV103 @ SV298 )
= $false )
| ( ( ~ ( ~ ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV103 @ SV220 ) @ SV298 )
| ~ ~ ( ~ ( ord_le1772180283um_c_c @ SV103 @ SV298 )
| ~ ( ord_le1772180283um_c_c @ SV220 @ SV298 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1638]) ).
thf(1721,plain,
! [SV107: set_Sum_sum_c_c > set_Sum_sum_c_c > set_Sum_sum_c_c,SV300: set_Sum_sum_c_c,SV223: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ ( sK36_SY771 @ SV223 @ SV300 @ SV107 ) @ ( SV107 @ ( sK32_SY555 @ SV300 @ SV223 @ SV107 ) @ ( sK36_SY771 @ SV223 @ SV300 @ SV107 ) ) )
= $false )
| ( ( ~ ! [SY557: set_Sum_sum_c_c,SY558: set_Sum_sum_c_c,SY559: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SY558 @ SY557 )
| ~ ( ord_le1772180283um_c_c @ SY559 @ SY557 )
| ( ord_le1772180283um_c_c @ ( SV107 @ SY558 @ SY559 ) @ SY557 ) )
| ( ( sup_su1349021703um_c_c @ SV223 @ SV300 )
= ( SV107 @ SV223 @ SV300 ) ) )
= $true )
| ( ( ord_le1772180283um_c_c @ ( sK23_SY553 @ SV300 @ SV223 @ SV107 ) @ ( SV107 @ ( sK23_SY553 @ SV300 @ SV223 @ SV107 ) @ ( sK26_SY769 @ SV107 @ SV223 @ SV300 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1639]) ).
thf(1722,plain,
! [SV306: set_Sum_sum_c_c,SV114: set_Sum_sum_c_c,SV230: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ ( sK31_SY770 @ SV230 @ SV114 @ SV306 ) @ SV306 )
= $true )
| ( ( ord_le1772180283um_c_c @ SV114 @ ( sup_su1349021703um_c_c @ SV230 @ SV306 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1640]) ).
thf(1723,plain,
! [SV230: set_Sum_sum_c_c,SV306: set_Sum_sum_c_c,SV114: set_Sum_sum_c_c] :
( ( ( SV114
= ( sup_su1349021703um_c_c @ ( sK27_SY751 @ SV114 @ SV306 @ SV230 ) @ ( sK31_SY770 @ SV230 @ SV114 @ SV306 ) ) )
= $true )
| ( ( ord_le1772180283um_c_c @ SV114 @ ( sup_su1349021703um_c_c @ SV230 @ SV306 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1641]) ).
thf(1724,plain,
! [SV121: produc190496183real_c,SV236: produc640052711real_c] :
( ( ( SV236
!= ( produc1687028567real_c @ ( sK37_SY715 @ SV121 @ SV236 ) @ SV121 ) )
= $false )
| ( ( SV121
= ( produc415593093real_c @ SV236 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1642]) ).
thf(1725,plain,
! [SV342: produc190496183real_c,SV236: produc640052711real_c,SV121: produc190496183real_c] :
( ( ( SV121
!= ( produc415593093real_c @ SV236 ) )
= $false )
| ( ( SV236
= ( produc1687028567real_c @ SV342 @ SV121 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1643]) ).
thf(1726,plain,
! [SV342: produc190496183real_c,SV121: produc190496183real_c,SV236: produc640052711real_c] :
( ( ( ~ ~ ! [SY715: produc190496183real_c] :
( SV236
!= ( produc1687028567real_c @ SY715 @ SV121 ) ) )
= $false )
| ( ( SV236
= ( produc1687028567real_c @ SV342 @ SV121 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1643]) ).
thf(1727,plain,
! [SV122: finite1398487019real_c,SV237: produc190496183real_c] :
( ( ( SV237
!= ( produc394644079real_c @ SV122 @ ( sK38_SY716 @ SV122 @ SV237 ) ) )
= $false )
| ( ( SV122
= ( produc2010422875real_c @ SV237 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1644]) ).
thf(1728,plain,
! [SV343: finite1398487019real_c,SV237: produc190496183real_c,SV122: finite1398487019real_c] :
( ( ( SV122
!= ( produc2010422875real_c @ SV237 ) )
= $false )
| ( ( SV237
= ( produc394644079real_c @ SV122 @ SV343 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1645]) ).
thf(1729,plain,
! [SV343: finite1398487019real_c,SV122: finite1398487019real_c,SV237: produc190496183real_c] :
( ( ( ~ ~ ! [SY716: finite1398487019real_c] :
( SV237
!= ( produc394644079real_c @ SV122 @ SY716 ) ) )
= $false )
| ( ( SV237
= ( produc394644079real_c @ SV122 @ SV343 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1645]) ).
thf(1730,plain,
! [SV339: finite1398487019real_c,SV313: finite1398487019real_c,SV239: finite1398487019real_c,SV124: finite1398487019real_c] :
( ( ( ( produc394644079real_c @ SV124 @ SV239 )
= ( produc394644079real_c @ SV313 @ SV339 ) )
= $true )
| ( ( ( produc394644079real_c @ SV124 @ SV239 )
= ( produc394644079real_c @ SV313 @ SV339 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1646]) ).
thf(1731,plain,
! [SV339: finite1398487019real_c,SV239: finite1398487019real_c,SV313: finite1398487019real_c,SV124: finite1398487019real_c] :
( ( ( ~ ( ( SV124 != SV313 )
| ( SV239 != SV339 ) ) )
= $true )
| ( ( ( produc394644079real_c @ SV124 @ SV239 )
= ( produc394644079real_c @ SV313 @ SV339 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1647]) ).
thf(1732,plain,
! [SV339: finite1398487019real_c,SV239: finite1398487019real_c,SV313: finite1398487019real_c,SV124: finite1398487019real_c] :
( ( ( SV124 = SV313 )
= $false )
| ( ( SV239 != SV339 )
= $true )
| ( ( ~ ( ( ( produc394644079real_c @ SV124 @ SV239 )
!= ( produc394644079real_c @ SV313 @ SV339 ) )
| ~ ~ ( ( SV124 != SV313 )
| ( SV239 != SV339 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1648]) ).
thf(1733,plain,
! [SV240: set_Pr754230471real_c,SV125: set_Pr754230471real_c,SV1: produc640052711real_c] :
( ( ( member346808080real_c @ SV1 @ SV125 )
= $true )
| ( ( member346808080real_c @ SV1 @ SV240 )
= $true )
| ( ( member346808080real_c @ SV1 @ SV125 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1651]) ).
thf(1734,plain,
! [SV240: set_Pr754230471real_c,SV125: set_Pr754230471real_c,SV1: produc640052711real_c] :
( ( ( member346808080real_c @ SV1 @ SV125 )
= $true )
| ( ( member346808080real_c @ SV1 @ SV240 )
= $true )
| ( ( member346808080real_c @ SV1 @ SV240 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1653]) ).
thf(1735,plain,
! [SV241: set_Sum_sum_c_c,SV126: set_Sum_sum_c_c,SV2: sum_sum_c_c] :
( ( ( member_Sum_sum_c_c @ SV2 @ SV126 )
= $true )
| ( ( member_Sum_sum_c_c @ SV2 @ SV241 )
= $true )
| ( ( member_Sum_sum_c_c @ SV2 @ SV126 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1656]) ).
thf(1736,plain,
! [SV241: set_Sum_sum_c_c,SV126: set_Sum_sum_c_c,SV2: sum_sum_c_c] :
( ( ( member_Sum_sum_c_c @ SV2 @ SV126 )
= $true )
| ( ( member_Sum_sum_c_c @ SV2 @ SV241 )
= $true )
| ( ( member_Sum_sum_c_c @ SV2 @ SV241 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1658]) ).
thf(1737,plain,
! [SV47: finite1398487019real_c,SV167: produc190496183real_c] :
( ( ( SV167
= ( produc394644079real_c @ ( sK33_SY620 @ SV47 @ SV167 ) @ SV47 ) )
= $true )
| ( ( SV47
= ( produc314122909real_c @ SV167 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1679]) ).
thf(1738,plain,
! [SV340: finite1398487019real_c,SV167: produc190496183real_c,SV47: finite1398487019real_c] :
( ( ( SV47
= ( produc314122909real_c @ SV167 ) )
= $true )
| ( ( SV167
= ( produc394644079real_c @ SV340 @ SV47 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1680]) ).
thf(1739,plain,
! [SV340: finite1398487019real_c,SV47: finite1398487019real_c,SV167: produc190496183real_c] :
( ( ( ~ ! [SY620: finite1398487019real_c] :
( SV167
!= ( produc394644079real_c @ SY620 @ SV47 ) ) )
= $true )
| ( ( SV167
= ( produc394644079real_c @ SV340 @ SV47 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1681]) ).
thf(1740,plain,
! [SV48: produc190496183real_c,SV168: produc640052711real_c] :
( ( ( SV168
= ( produc1687028567real_c @ SV48 @ ( sK34_SY621 @ SV48 @ SV168 ) ) )
= $true )
| ( ( SV48
= ( produc876006723real_c @ SV168 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1682]) ).
thf(1741,plain,
! [SV341: produc190496183real_c,SV168: produc640052711real_c,SV48: produc190496183real_c] :
( ( ( SV48
= ( produc876006723real_c @ SV168 ) )
= $true )
| ( ( SV168
= ( produc1687028567real_c @ SV48 @ SV341 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1683]) ).
thf(1742,plain,
! [SV341: produc190496183real_c,SV48: produc190496183real_c,SV168: produc640052711real_c] :
( ( ( ~ ! [SY621: produc190496183real_c] :
( SV168
!= ( produc1687028567real_c @ SV48 @ SY621 ) ) )
= $true )
| ( ( SV168
= ( produc1687028567real_c @ SV48 @ SV341 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1684]) ).
thf(1743,plain,
! [SV324: hp_a_b_c,SV174: hp_a_b_c,SV263: hp_a_b_c,SV55: hp_a_b_c] :
( ( ( ( SV55 != SV263 )
| ( SV174 != SV324 ) )
= $false )
| ( ( ( choice_a_b_c @ SV55 @ SV174 )
= ( choice_a_b_c @ SV263 @ SV324 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1686]) ).
thf(1744,plain,
! [SV263: hp_a_b_c,SV55: hp_a_b_c,SV324: hp_a_b_c,SV174: hp_a_b_c] :
( ( ( SV174 = SV324 )
= $false )
| ( ( SV55 = SV263 )
= $false )
| ( ( ~ ( ( ( choice_a_b_c @ SV55 @ SV174 )
!= ( choice_a_b_c @ SV263 @ SV324 ) )
| ~ ~ ( ( SV55 != SV263 )
| ( SV174 != SV324 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1687]) ).
thf(1745,plain,
! [SV177: hp_a_b_c,SV58: hp_a_b_c] :
( ( ( hpsafe_a_b_c @ SV58 )
= $true )
| ( ( hpsafe_a_b_c @ ( choice_a_b_c @ SV58 @ SV177 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1688]) ).
thf(1746,plain,
! [SV58: hp_a_b_c,SV177: hp_a_b_c] :
( ( ( hpsafe_a_b_c @ SV177 )
= $true )
| ( ( hpsafe_a_b_c @ ( choice_a_b_c @ SV58 @ SV177 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1689]) ).
thf(1747,plain,
! [SV177: hp_a_b_c,SV58: hp_a_b_c] :
( ( ( ~ ( hpsafe_a_b_c @ ( choice_a_b_c @ SV58 @ SV177 ) ) )
= $false )
| ( ( hpsafe_a_b_c @ SV58 )
= $false )
| ( ( hpsafe_a_b_c @ SV177 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1690]) ).
thf(1748,plain,
! [SV177: hp_a_b_c,SV58: hp_a_b_c] :
( ( ( ~ ~ ( ~ ( hpsafe_a_b_c @ SV58 )
| ~ ( hpsafe_a_b_c @ SV177 ) ) )
= $false )
| ( ( hpsafe_a_b_c @ SV58 )
= $false )
| ( ( hpsafe_a_b_c @ SV177 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1690]) ).
thf(1749,plain,
! [SV326: produc190496183real_c,SV181: produc190496183real_c,SV267: produc190496183real_c,SV62: produc190496183real_c] :
( ( ( ( SV62 != SV267 )
| ( SV181 != SV326 ) )
= $false )
| ( ( ( produc1687028567real_c @ SV62 @ SV181 )
= ( produc1687028567real_c @ SV267 @ SV326 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1692]) ).
thf(1750,plain,
! [SV267: produc190496183real_c,SV62: produc190496183real_c,SV326: produc190496183real_c,SV181: produc190496183real_c] :
( ( ( SV181 = SV326 )
= $false )
| ( ( SV62 = SV267 )
= $false )
| ( ( ~ ( ( ( produc1687028567real_c @ SV62 @ SV181 )
!= ( produc1687028567real_c @ SV267 @ SV326 ) )
| ~ ~ ( ( SV62 != SV267 )
| ( SV181 != SV326 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1693]) ).
thf(1751,plain,
! [SV327: set_Pr754230471real_c,SV187: set_Pr754230471real_c,SV347: produc640052711real_c] :
( ( ( ~ ( member346808080real_c @ SV347 @ SV187 )
| ( member346808080real_c @ SV347 @ SV327 ) )
= $true )
| ( ( ord_le1988344935real_c @ SV187 @ SV327 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1695]) ).
thf(1752,plain,
! [SV327: set_Pr754230471real_c,SV187: set_Pr754230471real_c] :
( ( ( ~ ( ord_le1988344935real_c @ SV187 @ SV327 )
| ~ ! [SY759: produc640052711real_c] :
( ~ ( member346808080real_c @ SY759 @ SV187 )
| ( member346808080real_c @ SY759 @ SV327 ) ) )
= $false )
| ( ( member346808080real_c @ ( sK29_SY759 @ SV327 @ SV187 ) @ SV187 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1696]) ).
thf(1753,plain,
! [SV327: set_Pr754230471real_c,SV187: set_Pr754230471real_c] :
( ( ( ~ ( ord_le1988344935real_c @ SV187 @ SV327 ) )
= $false )
| ( ( member346808080real_c @ ( sK29_SY759 @ SV327 @ SV187 ) @ SV327 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1697]) ).
thf(1754,plain,
! [SV327: set_Pr754230471real_c,SV187: set_Pr754230471real_c] :
( ( ( ~ ! [SY759: produc640052711real_c] :
( ~ ( member346808080real_c @ SY759 @ SV187 )
| ( member346808080real_c @ SY759 @ SV327 ) ) )
= $false )
| ( ( member346808080real_c @ ( sK29_SY759 @ SV327 @ SV187 ) @ SV327 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1697]) ).
thf(1755,plain,
! [SV328: finite1398487019real_c,SV190: finite1398487019real_c,SV272: finite1398487019real_c,SV71: finite1398487019real_c] :
( ( ( ( SV71 != SV272 )
| ( SV190 != SV328 ) )
= $false )
| ( ( ( produc394644079real_c @ SV71 @ SV190 )
= ( produc394644079real_c @ SV272 @ SV328 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1699]) ).
thf(1756,plain,
! [SV272: finite1398487019real_c,SV71: finite1398487019real_c,SV328: finite1398487019real_c,SV190: finite1398487019real_c] :
( ( ( SV190 = SV328 )
= $false )
| ( ( SV71 = SV272 )
= $false )
| ( ( ~ ( ( ( produc394644079real_c @ SV71 @ SV190 )
!= ( produc394644079real_c @ SV272 @ SV328 ) )
| ~ ~ ( ( SV71 != SV272 )
| ( SV190 != SV328 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1700]) ).
thf(1757,plain,
! [SV273: sum_sum_c_c > $o,SV191: set_Sum_sum_c_c,SV72: set_Sum_sum_c_c,SV344: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ SV344 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) ) )
= $true )
| ( ( ~ ( SV273 @ SV344 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY728: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY728 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
| ~ ( SV273 @ SY728 ) )
| ~ ( ~ ! [SY729: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY729 @ SV72 )
| ~ ( SV273 @ SY729 ) )
| ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1701]) ).
thf(1758,plain,
! [SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV72: set_Sum_sum_c_c,SV345: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ SV345 @ SV72 )
| ~ ( SV273 @ SV345 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY728: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY728 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
| ~ ( SV273 @ SY728 ) )
| ~ ( ~ ! [SY729: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY729 @ SV72 )
| ~ ( SV273 @ SY729 ) )
| ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1702]) ).
thf(1759,plain,
! [SV72: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV191: set_Sum_sum_c_c,SV346: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ SV346 @ SV191 )
| ~ ( SV273 @ SV346 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY728: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY728 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
| ~ ( SV273 @ SY728 ) )
| ~ ( ~ ! [SY729: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY729 @ SV72 )
| ~ ( SV273 @ SY729 ) )
| ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1703]) ).
thf(1760,plain,
! [SV330: produc190496183real_c,SV197: produc190496183real_c,SV277: produc190496183real_c,SV78: produc190496183real_c] :
( ( ( ( SV78 != SV277 )
| ( SV197 != SV330 ) )
= $false )
| ( ( ( produc1687028567real_c @ SV78 @ SV197 )
= ( produc1687028567real_c @ SV277 @ SV330 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1705]) ).
thf(1761,plain,
! [SV277: produc190496183real_c,SV78: produc190496183real_c,SV330: produc190496183real_c,SV197: produc190496183real_c] :
( ( ( SV197 = SV330 )
= $false )
| ( ( SV78 = SV277 )
= $false )
| ( ( ~ ( ( ( produc1687028567real_c @ SV78 @ SV197 )
!= ( produc1687028567real_c @ SV277 @ SV330 ) )
| ~ ~ ( ( SV78 != SV277 )
| ( SV197 != SV330 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1706]) ).
thf(1762,plain,
! [SV331: set_Pr754230471real_c,SV199: set_Pr754230471real_c,SV348: produc640052711real_c] :
( ( ( ~ ( member346808080real_c @ SV348 @ SV199 )
| ( member346808080real_c @ SV348 @ SV331 ) )
= $true )
| ( ( ord_le1988344935real_c @ SV199 @ SV331 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1708]) ).
thf(1763,plain,
! [SV331: set_Pr754230471real_c,SV199: set_Pr754230471real_c] :
( ( ( ~ ( ord_le1988344935real_c @ SV199 @ SV331 )
| ~ ! [SY760: produc640052711real_c] :
( ~ ( member346808080real_c @ SY760 @ SV199 )
| ( member346808080real_c @ SY760 @ SV331 ) ) )
= $false )
| ( ( member346808080real_c @ ( sK30_SY760 @ SV331 @ SV199 ) @ SV199 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1709]) ).
thf(1764,plain,
! [SV331: set_Pr754230471real_c,SV199: set_Pr754230471real_c] :
( ( ( ~ ( ord_le1988344935real_c @ SV199 @ SV331 ) )
= $false )
| ( ( member346808080real_c @ ( sK30_SY760 @ SV331 @ SV199 ) @ SV331 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1710]) ).
thf(1765,plain,
! [SV331: set_Pr754230471real_c,SV199: set_Pr754230471real_c] :
( ( ( ~ ! [SY760: produc640052711real_c] :
( ~ ( member346808080real_c @ SY760 @ SV199 )
| ( member346808080real_c @ SY760 @ SV331 ) ) )
= $false )
| ( ( member346808080real_c @ ( sK30_SY760 @ SV331 @ SV199 ) @ SV331 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1710]) ).
thf(1766,plain,
! [SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c,SV94: set_Sum_sum_c_c] :
( ( ( ~ ! [SY740: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY740 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
| ( SV290 @ SY740 ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ ( sK28_SY740 @ SV290 @ SV211 @ SV94 ) @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1711]) ).
thf(1767,plain,
! [SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV94: set_Sum_sum_c_c] :
( ( ( ~ ~ ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) )
| ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ ( sK28_SY740 @ SV290 @ SV211 @ SV94 ) @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1711]) ).
thf(1768,plain,
! [SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c,SV94: set_Sum_sum_c_c] :
( ( ( ! [SY740: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY740 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
| ( SV290 @ SY740 ) ) )
= $true )
| ( ( SV290 @ ( sK28_SY740 @ SV290 @ SV211 @ SV94 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1712]) ).
thf(1769,plain,
! [SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV94: set_Sum_sum_c_c] :
( ( ( ~ ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) )
| ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) ) )
= $true )
| ( ( SV290 @ ( sK28_SY740 @ SV290 @ SV211 @ SV94 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1713]) ).
thf(1770,plain,
! [SV94: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) @ SV94 ) )
= $false )
| ( ( ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY740: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY740 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
| ( SV290 @ SY740 ) )
| ~ ~ ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) )
| ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1714]) ).
thf(1771,plain,
! [SV94: set_Sum_sum_c_c,SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o] :
( ( ( SV290 @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) )
= $false )
| ( ( ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY740: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY740 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
| ( SV290 @ SY740 ) )
| ~ ~ ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) )
| ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1714]) ).
thf(1772,plain,
! [SV213: set_Sum_sum_c_c,SV292: set_Sum_sum_c_c,SV96: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV96 @ SV292 ) )
= $false )
| ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV96 @ SV213 ) @ SV292 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1715]) ).
thf(1773,plain,
! [SV96: set_Sum_sum_c_c,SV292: set_Sum_sum_c_c,SV213: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV213 @ SV292 ) )
= $false )
| ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV96 @ SV213 ) @ SV292 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1715]) ).
thf(1774,plain,
! [SV292: set_Sum_sum_c_c,SV213: set_Sum_sum_c_c,SV96: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV96 @ SV213 ) @ SV292 )
| ~ ~ ( ~ ( ord_le1772180283um_c_c @ SV96 @ SV292 )
| ~ ( ord_le1772180283um_c_c @ SV213 @ SV292 ) ) )
= $false )
| ( ( ord_le1772180283um_c_c @ SV96 @ SV292 )
= $false )
| ( ( ord_le1772180283um_c_c @ SV213 @ SV292 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1716]) ).
thf(1775,plain,
! [SV215: set_Sum_sum_c_c,SV294: set_Sum_sum_c_c,SV98: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV98 @ SV294 ) )
= $false )
| ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV98 @ SV215 ) @ SV294 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1717]) ).
thf(1776,plain,
! [SV98: set_Sum_sum_c_c,SV294: set_Sum_sum_c_c,SV215: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV215 @ SV294 ) )
= $false )
| ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV98 @ SV215 ) @ SV294 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1717]) ).
thf(1777,plain,
! [SV294: set_Sum_sum_c_c,SV215: set_Sum_sum_c_c,SV98: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV98 @ SV215 ) @ SV294 )
| ~ ~ ( ~ ( ord_le1772180283um_c_c @ SV98 @ SV294 )
| ~ ( ord_le1772180283um_c_c @ SV215 @ SV294 ) ) )
= $false )
| ( ( ord_le1772180283um_c_c @ SV98 @ SV294 )
= $false )
| ( ( ord_le1772180283um_c_c @ SV215 @ SV294 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1718]) ).
thf(1778,plain,
! [SV220: set_Sum_sum_c_c,SV298: set_Sum_sum_c_c,SV103: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV103 @ SV298 ) )
= $false )
| ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV103 @ SV220 ) @ SV298 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1719]) ).
thf(1779,plain,
! [SV103: set_Sum_sum_c_c,SV298: set_Sum_sum_c_c,SV220: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV220 @ SV298 ) )
= $false )
| ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV103 @ SV220 ) @ SV298 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1719]) ).
thf(1780,plain,
! [SV298: set_Sum_sum_c_c,SV220: set_Sum_sum_c_c,SV103: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV103 @ SV220 ) @ SV298 )
| ~ ~ ( ~ ( ord_le1772180283um_c_c @ SV103 @ SV298 )
| ~ ( ord_le1772180283um_c_c @ SV220 @ SV298 ) ) )
= $false )
| ( ( ord_le1772180283um_c_c @ SV103 @ SV298 )
= $false )
| ( ( ord_le1772180283um_c_c @ SV220 @ SV298 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1720]) ).
thf(1781,plain,
! [SV300: set_Sum_sum_c_c,SV223: set_Sum_sum_c_c,SV107: set_Sum_sum_c_c > set_Sum_sum_c_c > set_Sum_sum_c_c] :
( ( ( ~ ! [SY557: set_Sum_sum_c_c,SY558: set_Sum_sum_c_c,SY559: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SY558 @ SY557 )
| ~ ( ord_le1772180283um_c_c @ SY559 @ SY557 )
| ( ord_le1772180283um_c_c @ ( SV107 @ SY558 @ SY559 ) @ SY557 ) ) )
= $true )
| ( ( ( sup_su1349021703um_c_c @ SV223 @ SV300 )
= ( SV107 @ SV223 @ SV300 ) )
= $true )
| ( ( ord_le1772180283um_c_c @ ( sK36_SY771 @ SV223 @ SV300 @ SV107 ) @ ( SV107 @ ( sK32_SY555 @ SV300 @ SV223 @ SV107 ) @ ( sK36_SY771 @ SV223 @ SV300 @ SV107 ) ) )
= $false )
| ( ( ord_le1772180283um_c_c @ ( sK23_SY553 @ SV300 @ SV223 @ SV107 ) @ ( SV107 @ ( sK23_SY553 @ SV300 @ SV223 @ SV107 ) @ ( sK26_SY769 @ SV107 @ SV223 @ SV300 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1721]) ).
thf(1782,plain,
! [SV121: produc190496183real_c,SV236: produc640052711real_c] :
( ( ( SV236
= ( produc1687028567real_c @ ( sK37_SY715 @ SV121 @ SV236 ) @ SV121 ) )
= $true )
| ( ( SV121
= ( produc415593093real_c @ SV236 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1724]) ).
thf(1783,plain,
! [SV342: produc190496183real_c,SV236: produc640052711real_c,SV121: produc190496183real_c] :
( ( ( SV121
= ( produc415593093real_c @ SV236 ) )
= $true )
| ( ( SV236
= ( produc1687028567real_c @ SV342 @ SV121 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1725]) ).
thf(1784,plain,
! [SV342: produc190496183real_c,SV121: produc190496183real_c,SV236: produc640052711real_c] :
( ( ( ~ ! [SY715: produc190496183real_c] :
( SV236
!= ( produc1687028567real_c @ SY715 @ SV121 ) ) )
= $true )
| ( ( SV236
= ( produc1687028567real_c @ SV342 @ SV121 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1726]) ).
thf(1785,plain,
! [SV122: finite1398487019real_c,SV237: produc190496183real_c] :
( ( ( SV237
= ( produc394644079real_c @ SV122 @ ( sK38_SY716 @ SV122 @ SV237 ) ) )
= $true )
| ( ( SV122
= ( produc2010422875real_c @ SV237 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1727]) ).
thf(1786,plain,
! [SV343: finite1398487019real_c,SV237: produc190496183real_c,SV122: finite1398487019real_c] :
( ( ( SV122
= ( produc2010422875real_c @ SV237 ) )
= $true )
| ( ( SV237
= ( produc394644079real_c @ SV122 @ SV343 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1728]) ).
thf(1787,plain,
! [SV343: finite1398487019real_c,SV122: finite1398487019real_c,SV237: produc190496183real_c] :
( ( ( ~ ! [SY716: finite1398487019real_c] :
( SV237
!= ( produc394644079real_c @ SV122 @ SY716 ) ) )
= $true )
| ( ( SV237
= ( produc394644079real_c @ SV122 @ SV343 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1729]) ).
thf(1788,plain,
! [SV339: finite1398487019real_c,SV239: finite1398487019real_c,SV313: finite1398487019real_c,SV124: finite1398487019real_c] :
( ( ( ( SV124 != SV313 )
| ( SV239 != SV339 ) )
= $false )
| ( ( ( produc394644079real_c @ SV124 @ SV239 )
= ( produc394644079real_c @ SV313 @ SV339 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1731]) ).
thf(1789,plain,
! [SV313: finite1398487019real_c,SV124: finite1398487019real_c,SV339: finite1398487019real_c,SV239: finite1398487019real_c] :
( ( ( SV239 = SV339 )
= $false )
| ( ( SV124 = SV313 )
= $false )
| ( ( ~ ( ( ( produc394644079real_c @ SV124 @ SV239 )
!= ( produc394644079real_c @ SV313 @ SV339 ) )
| ~ ~ ( ( SV124 != SV313 )
| ( SV239 != SV339 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1732]) ).
thf(1790,plain,
! [SV340: finite1398487019real_c,SV47: finite1398487019real_c,SV167: produc190496183real_c] :
( ( ( ! [SY620: finite1398487019real_c] :
( SV167
!= ( produc394644079real_c @ SY620 @ SV47 ) ) )
= $false )
| ( ( SV167
= ( produc394644079real_c @ SV340 @ SV47 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1739]) ).
thf(1791,plain,
! [SV341: produc190496183real_c,SV48: produc190496183real_c,SV168: produc640052711real_c] :
( ( ( ! [SY621: produc190496183real_c] :
( SV168
!= ( produc1687028567real_c @ SV48 @ SY621 ) ) )
= $false )
| ( ( SV168
= ( produc1687028567real_c @ SV48 @ SV341 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1742]) ).
thf(1792,plain,
! [SV324: hp_a_b_c,SV174: hp_a_b_c,SV263: hp_a_b_c,SV55: hp_a_b_c] :
( ( ( SV55 != SV263 )
= $false )
| ( ( ( choice_a_b_c @ SV55 @ SV174 )
= ( choice_a_b_c @ SV263 @ SV324 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1743]) ).
thf(1793,plain,
! [SV263: hp_a_b_c,SV55: hp_a_b_c,SV324: hp_a_b_c,SV174: hp_a_b_c] :
( ( ( SV174 != SV324 )
= $false )
| ( ( ( choice_a_b_c @ SV55 @ SV174 )
= ( choice_a_b_c @ SV263 @ SV324 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1743]) ).
thf(1794,plain,
! [SV324: hp_a_b_c,SV263: hp_a_b_c,SV174: hp_a_b_c,SV55: hp_a_b_c] :
( ( ( ( ( choice_a_b_c @ SV55 @ SV174 )
!= ( choice_a_b_c @ SV263 @ SV324 ) )
| ~ ~ ( ( SV55 != SV263 )
| ( SV174 != SV324 ) ) )
= $false )
| ( ( SV55 = SV263 )
= $false )
| ( ( SV174 = SV324 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1744]) ).
thf(1795,plain,
! [SV177: hp_a_b_c,SV58: hp_a_b_c] :
( ( ( hpsafe_a_b_c @ ( choice_a_b_c @ SV58 @ SV177 ) )
= $true )
| ( ( hpsafe_a_b_c @ SV58 )
= $false )
| ( ( hpsafe_a_b_c @ SV177 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1747]) ).
thf(1796,plain,
! [SV177: hp_a_b_c,SV58: hp_a_b_c] :
( ( ( ~ ( ~ ( hpsafe_a_b_c @ SV58 )
| ~ ( hpsafe_a_b_c @ SV177 ) ) )
= $true )
| ( ( hpsafe_a_b_c @ SV58 )
= $false )
| ( ( hpsafe_a_b_c @ SV177 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1748]) ).
thf(1797,plain,
! [SV326: produc190496183real_c,SV181: produc190496183real_c,SV267: produc190496183real_c,SV62: produc190496183real_c] :
( ( ( SV62 != SV267 )
= $false )
| ( ( ( produc1687028567real_c @ SV62 @ SV181 )
= ( produc1687028567real_c @ SV267 @ SV326 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1749]) ).
thf(1798,plain,
! [SV267: produc190496183real_c,SV62: produc190496183real_c,SV326: produc190496183real_c,SV181: produc190496183real_c] :
( ( ( SV181 != SV326 )
= $false )
| ( ( ( produc1687028567real_c @ SV62 @ SV181 )
= ( produc1687028567real_c @ SV267 @ SV326 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1749]) ).
thf(1799,plain,
! [SV326: produc190496183real_c,SV267: produc190496183real_c,SV181: produc190496183real_c,SV62: produc190496183real_c] :
( ( ( ( ( produc1687028567real_c @ SV62 @ SV181 )
!= ( produc1687028567real_c @ SV267 @ SV326 ) )
| ~ ~ ( ( SV62 != SV267 )
| ( SV181 != SV326 ) ) )
= $false )
| ( ( SV62 = SV267 )
= $false )
| ( ( SV181 = SV326 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1750]) ).
thf(1800,plain,
! [SV327: set_Pr754230471real_c,SV187: set_Pr754230471real_c,SV347: produc640052711real_c] :
( ( ( ~ ( member346808080real_c @ SV347 @ SV187 ) )
= $true )
| ( ( member346808080real_c @ SV347 @ SV327 )
= $true )
| ( ( ord_le1988344935real_c @ SV187 @ SV327 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1751]) ).
thf(1801,plain,
! [SV327: set_Pr754230471real_c,SV187: set_Pr754230471real_c] :
( ( ( ~ ( ord_le1988344935real_c @ SV187 @ SV327 ) )
= $false )
| ( ( member346808080real_c @ ( sK29_SY759 @ SV327 @ SV187 ) @ SV187 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1752]) ).
thf(1802,plain,
! [SV327: set_Pr754230471real_c,SV187: set_Pr754230471real_c] :
( ( ( ~ ! [SY759: produc640052711real_c] :
( ~ ( member346808080real_c @ SY759 @ SV187 )
| ( member346808080real_c @ SY759 @ SV327 ) ) )
= $false )
| ( ( member346808080real_c @ ( sK29_SY759 @ SV327 @ SV187 ) @ SV187 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1752]) ).
thf(1803,plain,
! [SV327: set_Pr754230471real_c,SV187: set_Pr754230471real_c] :
( ( ( ord_le1988344935real_c @ SV187 @ SV327 )
= $true )
| ( ( member346808080real_c @ ( sK29_SY759 @ SV327 @ SV187 ) @ SV327 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1753]) ).
thf(1804,plain,
! [SV327: set_Pr754230471real_c,SV187: set_Pr754230471real_c] :
( ( ( ! [SY759: produc640052711real_c] :
( ~ ( member346808080real_c @ SY759 @ SV187 )
| ( member346808080real_c @ SY759 @ SV327 ) ) )
= $true )
| ( ( member346808080real_c @ ( sK29_SY759 @ SV327 @ SV187 ) @ SV327 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1754]) ).
thf(1805,plain,
! [SV328: finite1398487019real_c,SV190: finite1398487019real_c,SV272: finite1398487019real_c,SV71: finite1398487019real_c] :
( ( ( SV71 != SV272 )
= $false )
| ( ( ( produc394644079real_c @ SV71 @ SV190 )
= ( produc394644079real_c @ SV272 @ SV328 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1755]) ).
thf(1806,plain,
! [SV272: finite1398487019real_c,SV71: finite1398487019real_c,SV328: finite1398487019real_c,SV190: finite1398487019real_c] :
( ( ( SV190 != SV328 )
= $false )
| ( ( ( produc394644079real_c @ SV71 @ SV190 )
= ( produc394644079real_c @ SV272 @ SV328 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1755]) ).
thf(1807,plain,
! [SV328: finite1398487019real_c,SV272: finite1398487019real_c,SV190: finite1398487019real_c,SV71: finite1398487019real_c] :
( ( ( ( ( produc394644079real_c @ SV71 @ SV190 )
!= ( produc394644079real_c @ SV272 @ SV328 ) )
| ~ ~ ( ( SV71 != SV272 )
| ( SV190 != SV328 ) ) )
= $false )
| ( ( SV71 = SV272 )
= $false )
| ( ( SV190 = SV328 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1756]) ).
thf(1808,plain,
! [SV273: sum_sum_c_c > $o,SV191: set_Sum_sum_c_c,SV72: set_Sum_sum_c_c,SV344: sum_sum_c_c] :
( ( ( member_Sum_sum_c_c @ SV344 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
= $false )
| ( ( ~ ( SV273 @ SV344 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY728: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY728 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
| ~ ( SV273 @ SY728 ) )
| ~ ( ~ ! [SY729: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY729 @ SV72 )
| ~ ( SV273 @ SY729 ) )
| ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1757]) ).
thf(1809,plain,
! [SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV72: set_Sum_sum_c_c,SV345: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ SV345 @ SV72 ) )
= $true )
| ( ( ~ ( SV273 @ SV345 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY728: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY728 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
| ~ ( SV273 @ SY728 ) )
| ~ ( ~ ! [SY729: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY729 @ SV72 )
| ~ ( SV273 @ SY729 ) )
| ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1758]) ).
thf(1810,plain,
! [SV72: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV191: set_Sum_sum_c_c,SV346: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ SV346 @ SV191 ) )
= $true )
| ( ( ~ ( SV273 @ SV346 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY728: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY728 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
| ~ ( SV273 @ SY728 ) )
| ~ ( ~ ! [SY729: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY729 @ SV72 )
| ~ ( SV273 @ SY729 ) )
| ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1759]) ).
thf(1811,plain,
! [SV330: produc190496183real_c,SV197: produc190496183real_c,SV277: produc190496183real_c,SV78: produc190496183real_c] :
( ( ( SV78 != SV277 )
= $false )
| ( ( ( produc1687028567real_c @ SV78 @ SV197 )
= ( produc1687028567real_c @ SV277 @ SV330 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1760]) ).
thf(1812,plain,
! [SV277: produc190496183real_c,SV78: produc190496183real_c,SV330: produc190496183real_c,SV197: produc190496183real_c] :
( ( ( SV197 != SV330 )
= $false )
| ( ( ( produc1687028567real_c @ SV78 @ SV197 )
= ( produc1687028567real_c @ SV277 @ SV330 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1760]) ).
thf(1813,plain,
! [SV330: produc190496183real_c,SV277: produc190496183real_c,SV197: produc190496183real_c,SV78: produc190496183real_c] :
( ( ( ( ( produc1687028567real_c @ SV78 @ SV197 )
!= ( produc1687028567real_c @ SV277 @ SV330 ) )
| ~ ~ ( ( SV78 != SV277 )
| ( SV197 != SV330 ) ) )
= $false )
| ( ( SV78 = SV277 )
= $false )
| ( ( SV197 = SV330 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1761]) ).
thf(1814,plain,
! [SV331: set_Pr754230471real_c,SV199: set_Pr754230471real_c,SV348: produc640052711real_c] :
( ( ( ~ ( member346808080real_c @ SV348 @ SV199 ) )
= $true )
| ( ( member346808080real_c @ SV348 @ SV331 )
= $true )
| ( ( ord_le1988344935real_c @ SV199 @ SV331 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1762]) ).
thf(1815,plain,
! [SV331: set_Pr754230471real_c,SV199: set_Pr754230471real_c] :
( ( ( ~ ( ord_le1988344935real_c @ SV199 @ SV331 ) )
= $false )
| ( ( member346808080real_c @ ( sK30_SY760 @ SV331 @ SV199 ) @ SV199 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1763]) ).
thf(1816,plain,
! [SV331: set_Pr754230471real_c,SV199: set_Pr754230471real_c] :
( ( ( ~ ! [SY760: produc640052711real_c] :
( ~ ( member346808080real_c @ SY760 @ SV199 )
| ( member346808080real_c @ SY760 @ SV331 ) ) )
= $false )
| ( ( member346808080real_c @ ( sK30_SY760 @ SV331 @ SV199 ) @ SV199 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1763]) ).
thf(1817,plain,
! [SV331: set_Pr754230471real_c,SV199: set_Pr754230471real_c] :
( ( ( ord_le1988344935real_c @ SV199 @ SV331 )
= $true )
| ( ( member346808080real_c @ ( sK30_SY760 @ SV331 @ SV199 ) @ SV331 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1764]) ).
thf(1818,plain,
! [SV331: set_Pr754230471real_c,SV199: set_Pr754230471real_c] :
( ( ( ! [SY760: produc640052711real_c] :
( ~ ( member346808080real_c @ SY760 @ SV199 )
| ( member346808080real_c @ SY760 @ SV331 ) ) )
= $true )
| ( ( member346808080real_c @ ( sK30_SY760 @ SV331 @ SV199 ) @ SV331 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1765]) ).
thf(1819,plain,
! [SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c,SV94: set_Sum_sum_c_c] :
( ( ( ! [SY740: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY740 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
| ( SV290 @ SY740 ) ) )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK28_SY740 @ SV290 @ SV211 @ SV94 ) @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1766]) ).
thf(1820,plain,
! [SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV94: set_Sum_sum_c_c] :
( ( ( ~ ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) )
| ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) ) )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK28_SY740 @ SV290 @ SV211 @ SV94 ) @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1767]) ).
thf(1821,plain,
! [SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c,SV94: set_Sum_sum_c_c,SV349: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ SV349 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
| ( SV290 @ SV349 ) )
= $true )
| ( ( SV290 @ ( sK28_SY740 @ SV290 @ SV211 @ SV94 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1768]) ).
thf(1822,plain,
! [SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV94: set_Sum_sum_c_c] :
( ( ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) )
| ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) )
= $false )
| ( ( SV290 @ ( sK28_SY740 @ SV290 @ SV211 @ SV94 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1769]) ).
thf(1823,plain,
! [SV94: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c] :
( ( ( member_Sum_sum_c_c @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) @ SV94 )
= $true )
| ( ( ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY740: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY740 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
| ( SV290 @ SY740 ) )
| ~ ~ ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) )
| ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1770]) ).
thf(1824,plain,
! [SV94: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c] :
( ( ( ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) )
= $false )
| ( ( SV290 @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) )
= $false )
| ( ( ~ ( ~ ! [SY740: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY740 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
| ( SV290 @ SY740 ) )
| ~ ~ ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) )
| ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1771]) ).
thf(1825,plain,
! [SV213: set_Sum_sum_c_c,SV292: set_Sum_sum_c_c,SV96: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV96 @ SV292 )
= $true )
| ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV96 @ SV213 ) @ SV292 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1772]) ).
thf(1826,plain,
! [SV96: set_Sum_sum_c_c,SV292: set_Sum_sum_c_c,SV213: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV213 @ SV292 )
= $true )
| ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV96 @ SV213 ) @ SV292 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1773]) ).
thf(1827,plain,
! [SV292: set_Sum_sum_c_c,SV213: set_Sum_sum_c_c,SV96: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV96 @ SV213 ) @ SV292 ) )
= $false )
| ( ( ord_le1772180283um_c_c @ SV96 @ SV292 )
= $false )
| ( ( ord_le1772180283um_c_c @ SV213 @ SV292 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1774]) ).
thf(1828,plain,
! [SV213: set_Sum_sum_c_c,SV292: set_Sum_sum_c_c,SV96: set_Sum_sum_c_c] :
( ( ( ~ ~ ( ~ ( ord_le1772180283um_c_c @ SV96 @ SV292 )
| ~ ( ord_le1772180283um_c_c @ SV213 @ SV292 ) ) )
= $false )
| ( ( ord_le1772180283um_c_c @ SV96 @ SV292 )
= $false )
| ( ( ord_le1772180283um_c_c @ SV213 @ SV292 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1774]) ).
thf(1829,plain,
! [SV215: set_Sum_sum_c_c,SV294: set_Sum_sum_c_c,SV98: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV98 @ SV294 )
= $true )
| ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV98 @ SV215 ) @ SV294 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1775]) ).
thf(1830,plain,
! [SV98: set_Sum_sum_c_c,SV294: set_Sum_sum_c_c,SV215: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV215 @ SV294 )
= $true )
| ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV98 @ SV215 ) @ SV294 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1776]) ).
thf(1831,plain,
! [SV294: set_Sum_sum_c_c,SV215: set_Sum_sum_c_c,SV98: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV98 @ SV215 ) @ SV294 ) )
= $false )
| ( ( ord_le1772180283um_c_c @ SV98 @ SV294 )
= $false )
| ( ( ord_le1772180283um_c_c @ SV215 @ SV294 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1777]) ).
thf(1832,plain,
! [SV215: set_Sum_sum_c_c,SV294: set_Sum_sum_c_c,SV98: set_Sum_sum_c_c] :
( ( ( ~ ~ ( ~ ( ord_le1772180283um_c_c @ SV98 @ SV294 )
| ~ ( ord_le1772180283um_c_c @ SV215 @ SV294 ) ) )
= $false )
| ( ( ord_le1772180283um_c_c @ SV98 @ SV294 )
= $false )
| ( ( ord_le1772180283um_c_c @ SV215 @ SV294 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1777]) ).
thf(1833,plain,
! [SV220: set_Sum_sum_c_c,SV298: set_Sum_sum_c_c,SV103: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV103 @ SV298 )
= $true )
| ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV103 @ SV220 ) @ SV298 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1778]) ).
thf(1834,plain,
! [SV103: set_Sum_sum_c_c,SV298: set_Sum_sum_c_c,SV220: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV220 @ SV298 )
= $true )
| ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV103 @ SV220 ) @ SV298 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1779]) ).
thf(1835,plain,
! [SV298: set_Sum_sum_c_c,SV220: set_Sum_sum_c_c,SV103: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV103 @ SV220 ) @ SV298 ) )
= $false )
| ( ( ord_le1772180283um_c_c @ SV103 @ SV298 )
= $false )
| ( ( ord_le1772180283um_c_c @ SV220 @ SV298 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1780]) ).
thf(1836,plain,
! [SV220: set_Sum_sum_c_c,SV298: set_Sum_sum_c_c,SV103: set_Sum_sum_c_c] :
( ( ( ~ ~ ( ~ ( ord_le1772180283um_c_c @ SV103 @ SV298 )
| ~ ( ord_le1772180283um_c_c @ SV220 @ SV298 ) ) )
= $false )
| ( ( ord_le1772180283um_c_c @ SV103 @ SV298 )
= $false )
| ( ( ord_le1772180283um_c_c @ SV220 @ SV298 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1780]) ).
thf(1837,plain,
! [SV300: set_Sum_sum_c_c,SV223: set_Sum_sum_c_c,SV107: set_Sum_sum_c_c > set_Sum_sum_c_c > set_Sum_sum_c_c] :
( ( ( ! [SY557: set_Sum_sum_c_c,SY558: set_Sum_sum_c_c,SY559: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SY558 @ SY557 )
| ~ ( ord_le1772180283um_c_c @ SY559 @ SY557 )
| ( ord_le1772180283um_c_c @ ( SV107 @ SY558 @ SY559 ) @ SY557 ) ) )
= $false )
| ( ( ( sup_su1349021703um_c_c @ SV223 @ SV300 )
= ( SV107 @ SV223 @ SV300 ) )
= $true )
| ( ( ord_le1772180283um_c_c @ ( sK36_SY771 @ SV223 @ SV300 @ SV107 ) @ ( SV107 @ ( sK32_SY555 @ SV300 @ SV223 @ SV107 ) @ ( sK36_SY771 @ SV223 @ SV300 @ SV107 ) ) )
= $false )
| ( ( ord_le1772180283um_c_c @ ( sK23_SY553 @ SV300 @ SV223 @ SV107 ) @ ( SV107 @ ( sK23_SY553 @ SV300 @ SV223 @ SV107 ) @ ( sK26_SY769 @ SV107 @ SV223 @ SV300 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1781]) ).
thf(1838,plain,
! [SV342: produc190496183real_c,SV121: produc190496183real_c,SV236: produc640052711real_c] :
( ( ( ! [SY715: produc190496183real_c] :
( SV236
!= ( produc1687028567real_c @ SY715 @ SV121 ) ) )
= $false )
| ( ( SV236
= ( produc1687028567real_c @ SV342 @ SV121 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1784]) ).
thf(1839,plain,
! [SV343: finite1398487019real_c,SV122: finite1398487019real_c,SV237: produc190496183real_c] :
( ( ( ! [SY716: finite1398487019real_c] :
( SV237
!= ( produc394644079real_c @ SV122 @ SY716 ) ) )
= $false )
| ( ( SV237
= ( produc394644079real_c @ SV122 @ SV343 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1787]) ).
thf(1840,plain,
! [SV339: finite1398487019real_c,SV239: finite1398487019real_c,SV313: finite1398487019real_c,SV124: finite1398487019real_c] :
( ( ( SV124 != SV313 )
= $false )
| ( ( ( produc394644079real_c @ SV124 @ SV239 )
= ( produc394644079real_c @ SV313 @ SV339 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1788]) ).
thf(1841,plain,
! [SV313: finite1398487019real_c,SV124: finite1398487019real_c,SV339: finite1398487019real_c,SV239: finite1398487019real_c] :
( ( ( SV239 != SV339 )
= $false )
| ( ( ( produc394644079real_c @ SV124 @ SV239 )
= ( produc394644079real_c @ SV313 @ SV339 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1788]) ).
thf(1842,plain,
! [SV339: finite1398487019real_c,SV313: finite1398487019real_c,SV239: finite1398487019real_c,SV124: finite1398487019real_c] :
( ( ( ( ( produc394644079real_c @ SV124 @ SV239 )
!= ( produc394644079real_c @ SV313 @ SV339 ) )
| ~ ~ ( ( SV124 != SV313 )
| ( SV239 != SV339 ) ) )
= $false )
| ( ( SV124 = SV313 )
= $false )
| ( ( SV239 = SV339 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1789]) ).
thf(1843,plain,
! [SV47: finite1398487019real_c,SV340: finite1398487019real_c,SV167: produc190496183real_c] :
( ( ( SV167
!= ( produc394644079real_c @ ( sK39_SY620 @ SV340 @ SV47 @ SV167 ) @ SV47 ) )
= $false )
| ( ( SV167
= ( produc394644079real_c @ SV340 @ SV47 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1790]) ).
thf(1844,plain,
! [SV341: produc190496183real_c,SV48: produc190496183real_c,SV168: produc640052711real_c] :
( ( ( SV168
!= ( produc1687028567real_c @ SV48 @ ( sK40_SY621 @ SV341 @ SV48 @ SV168 ) ) )
= $false )
| ( ( SV168
= ( produc1687028567real_c @ SV48 @ SV341 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1791]) ).
thf(1845,plain,
! [SV324: hp_a_b_c,SV174: hp_a_b_c,SV263: hp_a_b_c,SV55: hp_a_b_c] :
( ( ( SV55 = SV263 )
= $true )
| ( ( ( choice_a_b_c @ SV55 @ SV174 )
= ( choice_a_b_c @ SV263 @ SV324 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1792]) ).
thf(1846,plain,
! [SV263: hp_a_b_c,SV55: hp_a_b_c,SV324: hp_a_b_c,SV174: hp_a_b_c] :
( ( ( SV174 = SV324 )
= $true )
| ( ( ( choice_a_b_c @ SV55 @ SV174 )
= ( choice_a_b_c @ SV263 @ SV324 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1793]) ).
thf(1847,plain,
! [SV324: hp_a_b_c,SV263: hp_a_b_c,SV174: hp_a_b_c,SV55: hp_a_b_c] :
( ( ( ( choice_a_b_c @ SV55 @ SV174 )
!= ( choice_a_b_c @ SV263 @ SV324 ) )
= $false )
| ( ( SV55 = SV263 )
= $false )
| ( ( SV174 = SV324 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1794]) ).
thf(1848,plain,
! [SV324: hp_a_b_c,SV174: hp_a_b_c,SV263: hp_a_b_c,SV55: hp_a_b_c] :
( ( ( ~ ~ ( ( SV55 != SV263 )
| ( SV174 != SV324 ) ) )
= $false )
| ( ( SV55 = SV263 )
= $false )
| ( ( SV174 = SV324 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1794]) ).
thf(1849,plain,
! [SV177: hp_a_b_c,SV58: hp_a_b_c] :
( ( ( ~ ( hpsafe_a_b_c @ SV58 )
| ~ ( hpsafe_a_b_c @ SV177 ) )
= $false )
| ( ( hpsafe_a_b_c @ SV58 )
= $false )
| ( ( hpsafe_a_b_c @ SV177 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1796]) ).
thf(1850,plain,
! [SV326: produc190496183real_c,SV181: produc190496183real_c,SV267: produc190496183real_c,SV62: produc190496183real_c] :
( ( ( SV62 = SV267 )
= $true )
| ( ( ( produc1687028567real_c @ SV62 @ SV181 )
= ( produc1687028567real_c @ SV267 @ SV326 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1797]) ).
thf(1851,plain,
! [SV267: produc190496183real_c,SV62: produc190496183real_c,SV326: produc190496183real_c,SV181: produc190496183real_c] :
( ( ( SV181 = SV326 )
= $true )
| ( ( ( produc1687028567real_c @ SV62 @ SV181 )
= ( produc1687028567real_c @ SV267 @ SV326 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1798]) ).
thf(1852,plain,
! [SV326: produc190496183real_c,SV267: produc190496183real_c,SV181: produc190496183real_c,SV62: produc190496183real_c] :
( ( ( ( produc1687028567real_c @ SV62 @ SV181 )
!= ( produc1687028567real_c @ SV267 @ SV326 ) )
= $false )
| ( ( SV62 = SV267 )
= $false )
| ( ( SV181 = SV326 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1799]) ).
thf(1853,plain,
! [SV326: produc190496183real_c,SV181: produc190496183real_c,SV267: produc190496183real_c,SV62: produc190496183real_c] :
( ( ( ~ ~ ( ( SV62 != SV267 )
| ( SV181 != SV326 ) ) )
= $false )
| ( ( SV62 = SV267 )
= $false )
| ( ( SV181 = SV326 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1799]) ).
thf(1854,plain,
! [SV327: set_Pr754230471real_c,SV187: set_Pr754230471real_c,SV347: produc640052711real_c] :
( ( ( member346808080real_c @ SV347 @ SV187 )
= $false )
| ( ( member346808080real_c @ SV347 @ SV327 )
= $true )
| ( ( ord_le1988344935real_c @ SV187 @ SV327 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1800]) ).
thf(1855,plain,
! [SV327: set_Pr754230471real_c,SV187: set_Pr754230471real_c] :
( ( ( ord_le1988344935real_c @ SV187 @ SV327 )
= $true )
| ( ( member346808080real_c @ ( sK29_SY759 @ SV327 @ SV187 ) @ SV187 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1801]) ).
thf(1856,plain,
! [SV327: set_Pr754230471real_c,SV187: set_Pr754230471real_c] :
( ( ( ! [SY759: produc640052711real_c] :
( ~ ( member346808080real_c @ SY759 @ SV187 )
| ( member346808080real_c @ SY759 @ SV327 ) ) )
= $true )
| ( ( member346808080real_c @ ( sK29_SY759 @ SV327 @ SV187 ) @ SV187 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1802]) ).
thf(1857,plain,
! [SV327: set_Pr754230471real_c,SV187: set_Pr754230471real_c,SV350: produc640052711real_c] :
( ( ( ~ ( member346808080real_c @ SV350 @ SV187 )
| ( member346808080real_c @ SV350 @ SV327 ) )
= $true )
| ( ( member346808080real_c @ ( sK29_SY759 @ SV327 @ SV187 ) @ SV327 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1804]) ).
thf(1858,plain,
! [SV328: finite1398487019real_c,SV190: finite1398487019real_c,SV272: finite1398487019real_c,SV71: finite1398487019real_c] :
( ( ( SV71 = SV272 )
= $true )
| ( ( ( produc394644079real_c @ SV71 @ SV190 )
= ( produc394644079real_c @ SV272 @ SV328 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1805]) ).
thf(1859,plain,
! [SV272: finite1398487019real_c,SV71: finite1398487019real_c,SV328: finite1398487019real_c,SV190: finite1398487019real_c] :
( ( ( SV190 = SV328 )
= $true )
| ( ( ( produc394644079real_c @ SV71 @ SV190 )
= ( produc394644079real_c @ SV272 @ SV328 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1806]) ).
thf(1860,plain,
! [SV328: finite1398487019real_c,SV272: finite1398487019real_c,SV190: finite1398487019real_c,SV71: finite1398487019real_c] :
( ( ( ( produc394644079real_c @ SV71 @ SV190 )
!= ( produc394644079real_c @ SV272 @ SV328 ) )
= $false )
| ( ( SV71 = SV272 )
= $false )
| ( ( SV190 = SV328 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1807]) ).
thf(1861,plain,
! [SV328: finite1398487019real_c,SV190: finite1398487019real_c,SV272: finite1398487019real_c,SV71: finite1398487019real_c] :
( ( ( ~ ~ ( ( SV71 != SV272 )
| ( SV190 != SV328 ) ) )
= $false )
| ( ( SV71 = SV272 )
= $false )
| ( ( SV190 = SV328 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1807]) ).
thf(1862,plain,
! [SV191: set_Sum_sum_c_c,SV72: set_Sum_sum_c_c,SV344: sum_sum_c_c,SV273: sum_sum_c_c > $o] :
( ( ( SV273 @ SV344 )
= $false )
| ( ( member_Sum_sum_c_c @ SV344 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY728: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY728 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
| ~ ( SV273 @ SY728 ) )
| ~ ( ~ ! [SY729: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY729 @ SV72 )
| ~ ( SV273 @ SY729 ) )
| ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1808]) ).
thf(1863,plain,
! [SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV72: set_Sum_sum_c_c,SV345: sum_sum_c_c] :
( ( ( member_Sum_sum_c_c @ SV345 @ SV72 )
= $false )
| ( ( ~ ( SV273 @ SV345 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY728: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY728 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
| ~ ( SV273 @ SY728 ) )
| ~ ( ~ ! [SY729: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY729 @ SV72 )
| ~ ( SV273 @ SY729 ) )
| ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1809]) ).
thf(1864,plain,
! [SV72: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV191: set_Sum_sum_c_c,SV346: sum_sum_c_c] :
( ( ( member_Sum_sum_c_c @ SV346 @ SV191 )
= $false )
| ( ( ~ ( SV273 @ SV346 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY728: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY728 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
| ~ ( SV273 @ SY728 ) )
| ~ ( ~ ! [SY729: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY729 @ SV72 )
| ~ ( SV273 @ SY729 ) )
| ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1810]) ).
thf(1865,plain,
! [SV330: produc190496183real_c,SV197: produc190496183real_c,SV277: produc190496183real_c,SV78: produc190496183real_c] :
( ( ( SV78 = SV277 )
= $true )
| ( ( ( produc1687028567real_c @ SV78 @ SV197 )
= ( produc1687028567real_c @ SV277 @ SV330 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1811]) ).
thf(1866,plain,
! [SV277: produc190496183real_c,SV78: produc190496183real_c,SV330: produc190496183real_c,SV197: produc190496183real_c] :
( ( ( SV197 = SV330 )
= $true )
| ( ( ( produc1687028567real_c @ SV78 @ SV197 )
= ( produc1687028567real_c @ SV277 @ SV330 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1812]) ).
thf(1867,plain,
! [SV330: produc190496183real_c,SV277: produc190496183real_c,SV197: produc190496183real_c,SV78: produc190496183real_c] :
( ( ( ( produc1687028567real_c @ SV78 @ SV197 )
!= ( produc1687028567real_c @ SV277 @ SV330 ) )
= $false )
| ( ( SV78 = SV277 )
= $false )
| ( ( SV197 = SV330 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1813]) ).
thf(1868,plain,
! [SV330: produc190496183real_c,SV197: produc190496183real_c,SV277: produc190496183real_c,SV78: produc190496183real_c] :
( ( ( ~ ~ ( ( SV78 != SV277 )
| ( SV197 != SV330 ) ) )
= $false )
| ( ( SV78 = SV277 )
= $false )
| ( ( SV197 = SV330 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1813]) ).
thf(1869,plain,
! [SV331: set_Pr754230471real_c,SV199: set_Pr754230471real_c,SV348: produc640052711real_c] :
( ( ( member346808080real_c @ SV348 @ SV199 )
= $false )
| ( ( member346808080real_c @ SV348 @ SV331 )
= $true )
| ( ( ord_le1988344935real_c @ SV199 @ SV331 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1814]) ).
thf(1870,plain,
! [SV331: set_Pr754230471real_c,SV199: set_Pr754230471real_c] :
( ( ( ord_le1988344935real_c @ SV199 @ SV331 )
= $true )
| ( ( member346808080real_c @ ( sK30_SY760 @ SV331 @ SV199 ) @ SV199 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1815]) ).
thf(1871,plain,
! [SV331: set_Pr754230471real_c,SV199: set_Pr754230471real_c] :
( ( ( ! [SY760: produc640052711real_c] :
( ~ ( member346808080real_c @ SY760 @ SV199 )
| ( member346808080real_c @ SY760 @ SV331 ) ) )
= $true )
| ( ( member346808080real_c @ ( sK30_SY760 @ SV331 @ SV199 ) @ SV199 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1816]) ).
thf(1872,plain,
! [SV331: set_Pr754230471real_c,SV199: set_Pr754230471real_c,SV351: produc640052711real_c] :
( ( ( ~ ( member346808080real_c @ SV351 @ SV199 )
| ( member346808080real_c @ SV351 @ SV331 ) )
= $true )
| ( ( member346808080real_c @ ( sK30_SY760 @ SV331 @ SV199 ) @ SV331 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1818]) ).
thf(1873,plain,
! [SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c,SV94: set_Sum_sum_c_c,SV352: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ SV352 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
| ( SV290 @ SV352 ) )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK28_SY740 @ SV290 @ SV211 @ SV94 ) @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1819]) ).
thf(1874,plain,
! [SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV94: set_Sum_sum_c_c] :
( ( ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) )
| ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ ( sK28_SY740 @ SV290 @ SV211 @ SV94 ) @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1820]) ).
thf(1875,plain,
! [SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c,SV94: set_Sum_sum_c_c,SV349: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ SV349 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) ) )
= $true )
| ( ( SV290 @ SV349 )
= $true )
| ( ( SV290 @ ( sK28_SY740 @ SV290 @ SV211 @ SV94 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1821]) ).
thf(1876,plain,
! [SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV94: set_Sum_sum_c_c] :
( ( ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) ) )
= $false )
| ( ( SV290 @ ( sK28_SY740 @ SV290 @ SV211 @ SV94 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1822]) ).
thf(1877,plain,
! [SV94: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c] :
( ( ( ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) )
= $false )
| ( ( SV290 @ ( sK28_SY740 @ SV290 @ SV211 @ SV94 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1822]) ).
thf(1878,plain,
! [SV94: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c] :
( ( ( ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) @ SV94 )
= $true )
| ( ( ~ ( ~ ! [SY740: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY740 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
| ( SV290 @ SY740 ) )
| ~ ~ ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) )
| ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1823]) ).
thf(1879,plain,
! [SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV94: set_Sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ ( sK41_SY742 @ SV94 @ SV290 @ SV211 ) @ SV211 )
| ( SV290 @ ( sK41_SY742 @ SV94 @ SV290 @ SV211 ) ) )
= $false )
| ( ( SV290 @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) )
= $false )
| ( ( ~ ( ~ ! [SY740: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY740 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
| ( SV290 @ SY740 ) )
| ~ ~ ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) )
| ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1824]) ).
thf(1880,plain,
! [SV292: set_Sum_sum_c_c,SV213: set_Sum_sum_c_c,SV96: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV96 @ SV213 ) @ SV292 )
= $true )
| ( ( ord_le1772180283um_c_c @ SV96 @ SV292 )
= $false )
| ( ( ord_le1772180283um_c_c @ SV213 @ SV292 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1827]) ).
thf(1881,plain,
! [SV213: set_Sum_sum_c_c,SV292: set_Sum_sum_c_c,SV96: set_Sum_sum_c_c] :
( ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV96 @ SV292 )
| ~ ( ord_le1772180283um_c_c @ SV213 @ SV292 ) ) )
= $true )
| ( ( ord_le1772180283um_c_c @ SV96 @ SV292 )
= $false )
| ( ( ord_le1772180283um_c_c @ SV213 @ SV292 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1828]) ).
thf(1882,plain,
! [SV294: set_Sum_sum_c_c,SV215: set_Sum_sum_c_c,SV98: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV98 @ SV215 ) @ SV294 )
= $true )
| ( ( ord_le1772180283um_c_c @ SV98 @ SV294 )
= $false )
| ( ( ord_le1772180283um_c_c @ SV215 @ SV294 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1831]) ).
thf(1883,plain,
! [SV215: set_Sum_sum_c_c,SV294: set_Sum_sum_c_c,SV98: set_Sum_sum_c_c] :
( ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV98 @ SV294 )
| ~ ( ord_le1772180283um_c_c @ SV215 @ SV294 ) ) )
= $true )
| ( ( ord_le1772180283um_c_c @ SV98 @ SV294 )
= $false )
| ( ( ord_le1772180283um_c_c @ SV215 @ SV294 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1832]) ).
thf(1884,plain,
! [SV298: set_Sum_sum_c_c,SV220: set_Sum_sum_c_c,SV103: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ ( sup_su1349021703um_c_c @ SV103 @ SV220 ) @ SV298 )
= $true )
| ( ( ord_le1772180283um_c_c @ SV103 @ SV298 )
= $false )
| ( ( ord_le1772180283um_c_c @ SV220 @ SV298 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1835]) ).
thf(1885,plain,
! [SV220: set_Sum_sum_c_c,SV298: set_Sum_sum_c_c,SV103: set_Sum_sum_c_c] :
( ( ( ~ ( ~ ( ord_le1772180283um_c_c @ SV103 @ SV298 )
| ~ ( ord_le1772180283um_c_c @ SV220 @ SV298 ) ) )
= $true )
| ( ( ord_le1772180283um_c_c @ SV103 @ SV298 )
= $false )
| ( ( ord_le1772180283um_c_c @ SV220 @ SV298 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1836]) ).
thf(1886,plain,
! [SV107: set_Sum_sum_c_c > set_Sum_sum_c_c > set_Sum_sum_c_c,SV223: set_Sum_sum_c_c,SV300: set_Sum_sum_c_c] :
( ( ( ! [SY772: set_Sum_sum_c_c,SY773: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ SY772 @ ( sK42_SY557 @ SV300 @ SV223 @ SV107 ) )
| ~ ( ord_le1772180283um_c_c @ SY773 @ ( sK42_SY557 @ SV300 @ SV223 @ SV107 ) )
| ( ord_le1772180283um_c_c @ ( SV107 @ SY772 @ SY773 ) @ ( sK42_SY557 @ SV300 @ SV223 @ SV107 ) ) ) )
= $false )
| ( ( ( sup_su1349021703um_c_c @ SV223 @ SV300 )
= ( SV107 @ SV223 @ SV300 ) )
= $true )
| ( ( ord_le1772180283um_c_c @ ( sK36_SY771 @ SV223 @ SV300 @ SV107 ) @ ( SV107 @ ( sK32_SY555 @ SV300 @ SV223 @ SV107 ) @ ( sK36_SY771 @ SV223 @ SV300 @ SV107 ) ) )
= $false )
| ( ( ord_le1772180283um_c_c @ ( sK23_SY553 @ SV300 @ SV223 @ SV107 ) @ ( SV107 @ ( sK23_SY553 @ SV300 @ SV223 @ SV107 ) @ ( sK26_SY769 @ SV107 @ SV223 @ SV300 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1837]) ).
thf(1887,plain,
! [SV121: produc190496183real_c,SV342: produc190496183real_c,SV236: produc640052711real_c] :
( ( ( SV236
!= ( produc1687028567real_c @ ( sK43_SY715 @ SV342 @ SV121 @ SV236 ) @ SV121 ) )
= $false )
| ( ( SV236
= ( produc1687028567real_c @ SV342 @ SV121 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1838]) ).
thf(1888,plain,
! [SV343: finite1398487019real_c,SV122: finite1398487019real_c,SV237: produc190496183real_c] :
( ( ( SV237
!= ( produc394644079real_c @ SV122 @ ( sK44_SY716 @ SV343 @ SV122 @ SV237 ) ) )
= $false )
| ( ( SV237
= ( produc394644079real_c @ SV122 @ SV343 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1839]) ).
thf(1889,plain,
! [SV339: finite1398487019real_c,SV239: finite1398487019real_c,SV313: finite1398487019real_c,SV124: finite1398487019real_c] :
( ( ( SV124 = SV313 )
= $true )
| ( ( ( produc394644079real_c @ SV124 @ SV239 )
= ( produc394644079real_c @ SV313 @ SV339 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1840]) ).
thf(1890,plain,
! [SV313: finite1398487019real_c,SV124: finite1398487019real_c,SV339: finite1398487019real_c,SV239: finite1398487019real_c] :
( ( ( SV239 = SV339 )
= $true )
| ( ( ( produc394644079real_c @ SV124 @ SV239 )
= ( produc394644079real_c @ SV313 @ SV339 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1841]) ).
thf(1891,plain,
! [SV339: finite1398487019real_c,SV313: finite1398487019real_c,SV239: finite1398487019real_c,SV124: finite1398487019real_c] :
( ( ( ( produc394644079real_c @ SV124 @ SV239 )
!= ( produc394644079real_c @ SV313 @ SV339 ) )
= $false )
| ( ( SV124 = SV313 )
= $false )
| ( ( SV239 = SV339 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1842]) ).
thf(1892,plain,
! [SV339: finite1398487019real_c,SV239: finite1398487019real_c,SV313: finite1398487019real_c,SV124: finite1398487019real_c] :
( ( ( ~ ~ ( ( SV124 != SV313 )
| ( SV239 != SV339 ) ) )
= $false )
| ( ( SV124 = SV313 )
= $false )
| ( ( SV239 = SV339 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1842]) ).
thf(1893,plain,
! [SV47: finite1398487019real_c,SV340: finite1398487019real_c,SV167: produc190496183real_c] :
( ( ( SV167
= ( produc394644079real_c @ ( sK39_SY620 @ SV340 @ SV47 @ SV167 ) @ SV47 ) )
= $true )
| ( ( SV167
= ( produc394644079real_c @ SV340 @ SV47 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1843]) ).
thf(1894,plain,
! [SV341: produc190496183real_c,SV48: produc190496183real_c,SV168: produc640052711real_c] :
( ( ( SV168
= ( produc1687028567real_c @ SV48 @ ( sK40_SY621 @ SV341 @ SV48 @ SV168 ) ) )
= $true )
| ( ( SV168
= ( produc1687028567real_c @ SV48 @ SV341 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1844]) ).
thf(1895,plain,
! [SV324: hp_a_b_c,SV263: hp_a_b_c,SV174: hp_a_b_c,SV55: hp_a_b_c] :
( ( ( ( choice_a_b_c @ SV55 @ SV174 )
= ( choice_a_b_c @ SV263 @ SV324 ) )
= $true )
| ( ( SV55 = SV263 )
= $false )
| ( ( SV174 = SV324 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1847]) ).
thf(1896,plain,
! [SV324: hp_a_b_c,SV174: hp_a_b_c,SV263: hp_a_b_c,SV55: hp_a_b_c] :
( ( ( ~ ( ( SV55 != SV263 )
| ( SV174 != SV324 ) ) )
= $true )
| ( ( SV55 = SV263 )
= $false )
| ( ( SV174 = SV324 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1848]) ).
thf(1897,plain,
! [SV177: hp_a_b_c,SV58: hp_a_b_c] :
( ( ( ~ ( hpsafe_a_b_c @ SV58 ) )
= $false )
| ( ( hpsafe_a_b_c @ SV58 )
= $false )
| ( ( hpsafe_a_b_c @ SV177 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1849]) ).
thf(1898,plain,
! [SV58: hp_a_b_c,SV177: hp_a_b_c] :
( ( ( ~ ( hpsafe_a_b_c @ SV177 ) )
= $false )
| ( ( hpsafe_a_b_c @ SV58 )
= $false )
| ( ( hpsafe_a_b_c @ SV177 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1849]) ).
thf(1899,plain,
! [SV326: produc190496183real_c,SV267: produc190496183real_c,SV181: produc190496183real_c,SV62: produc190496183real_c] :
( ( ( ( produc1687028567real_c @ SV62 @ SV181 )
= ( produc1687028567real_c @ SV267 @ SV326 ) )
= $true )
| ( ( SV62 = SV267 )
= $false )
| ( ( SV181 = SV326 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1852]) ).
thf(1900,plain,
! [SV326: produc190496183real_c,SV181: produc190496183real_c,SV267: produc190496183real_c,SV62: produc190496183real_c] :
( ( ( ~ ( ( SV62 != SV267 )
| ( SV181 != SV326 ) ) )
= $true )
| ( ( SV62 = SV267 )
= $false )
| ( ( SV181 = SV326 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1853]) ).
thf(1901,plain,
! [SV327: set_Pr754230471real_c,SV187: set_Pr754230471real_c,SV353: produc640052711real_c] :
( ( ( ~ ( member346808080real_c @ SV353 @ SV187 )
| ( member346808080real_c @ SV353 @ SV327 ) )
= $true )
| ( ( member346808080real_c @ ( sK29_SY759 @ SV327 @ SV187 ) @ SV187 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1856]) ).
thf(1902,plain,
! [SV327: set_Pr754230471real_c,SV187: set_Pr754230471real_c,SV350: produc640052711real_c] :
( ( ( ~ ( member346808080real_c @ SV350 @ SV187 ) )
= $true )
| ( ( member346808080real_c @ SV350 @ SV327 )
= $true )
| ( ( member346808080real_c @ ( sK29_SY759 @ SV327 @ SV187 ) @ SV327 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1857]) ).
thf(1903,plain,
! [SV328: finite1398487019real_c,SV272: finite1398487019real_c,SV190: finite1398487019real_c,SV71: finite1398487019real_c] :
( ( ( ( produc394644079real_c @ SV71 @ SV190 )
= ( produc394644079real_c @ SV272 @ SV328 ) )
= $true )
| ( ( SV71 = SV272 )
= $false )
| ( ( SV190 = SV328 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1860]) ).
thf(1904,plain,
! [SV328: finite1398487019real_c,SV190: finite1398487019real_c,SV272: finite1398487019real_c,SV71: finite1398487019real_c] :
( ( ( ~ ( ( SV71 != SV272 )
| ( SV190 != SV328 ) ) )
= $true )
| ( ( SV71 = SV272 )
= $false )
| ( ( SV190 = SV328 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1861]) ).
thf(1905,plain,
! [SV344: sum_sum_c_c,SV273: sum_sum_c_c > $o,SV191: set_Sum_sum_c_c,SV72: set_Sum_sum_c_c] :
( ( ( ~ ~ ! [SY728: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY728 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
| ~ ( SV273 @ SY728 ) )
| ~ ( ~ ! [SY729: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY729 @ SV72 )
| ~ ( SV273 @ SY729 ) )
| ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ SV344 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
= $false )
| ( ( SV273 @ SV344 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1862]) ).
thf(1906,plain,
! [SV191: set_Sum_sum_c_c,SV72: set_Sum_sum_c_c,SV345: sum_sum_c_c,SV273: sum_sum_c_c > $o] :
( ( ( SV273 @ SV345 )
= $false )
| ( ( member_Sum_sum_c_c @ SV345 @ SV72 )
= $false )
| ( ( ~ ( ~ ~ ! [SY728: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY728 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
| ~ ( SV273 @ SY728 ) )
| ~ ( ~ ! [SY729: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY729 @ SV72 )
| ~ ( SV273 @ SY729 ) )
| ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1863]) ).
thf(1907,plain,
! [SV72: set_Sum_sum_c_c,SV191: set_Sum_sum_c_c,SV346: sum_sum_c_c,SV273: sum_sum_c_c > $o] :
( ( ( SV273 @ SV346 )
= $false )
| ( ( member_Sum_sum_c_c @ SV346 @ SV191 )
= $false )
| ( ( ~ ( ~ ~ ! [SY728: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY728 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
| ~ ( SV273 @ SY728 ) )
| ~ ( ~ ! [SY729: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY729 @ SV72 )
| ~ ( SV273 @ SY729 ) )
| ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1864]) ).
thf(1908,plain,
! [SV330: produc190496183real_c,SV277: produc190496183real_c,SV197: produc190496183real_c,SV78: produc190496183real_c] :
( ( ( ( produc1687028567real_c @ SV78 @ SV197 )
= ( produc1687028567real_c @ SV277 @ SV330 ) )
= $true )
| ( ( SV78 = SV277 )
= $false )
| ( ( SV197 = SV330 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1867]) ).
thf(1909,plain,
! [SV330: produc190496183real_c,SV197: produc190496183real_c,SV277: produc190496183real_c,SV78: produc190496183real_c] :
( ( ( ~ ( ( SV78 != SV277 )
| ( SV197 != SV330 ) ) )
= $true )
| ( ( SV78 = SV277 )
= $false )
| ( ( SV197 = SV330 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1868]) ).
thf(1910,plain,
! [SV331: set_Pr754230471real_c,SV199: set_Pr754230471real_c,SV354: produc640052711real_c] :
( ( ( ~ ( member346808080real_c @ SV354 @ SV199 )
| ( member346808080real_c @ SV354 @ SV331 ) )
= $true )
| ( ( member346808080real_c @ ( sK30_SY760 @ SV331 @ SV199 ) @ SV199 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1871]) ).
thf(1911,plain,
! [SV331: set_Pr754230471real_c,SV199: set_Pr754230471real_c,SV351: produc640052711real_c] :
( ( ( ~ ( member346808080real_c @ SV351 @ SV199 ) )
= $true )
| ( ( member346808080real_c @ SV351 @ SV331 )
= $true )
| ( ( member346808080real_c @ ( sK30_SY760 @ SV331 @ SV199 ) @ SV331 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1872]) ).
thf(1912,plain,
! [SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c,SV94: set_Sum_sum_c_c,SV352: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ SV352 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) ) )
= $true )
| ( ( SV290 @ SV352 )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK28_SY740 @ SV290 @ SV211 @ SV94 ) @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1873]) ).
thf(1913,plain,
! [SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV94: set_Sum_sum_c_c] :
( ( ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ ( sK28_SY740 @ SV290 @ SV211 @ SV94 ) @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1874]) ).
thf(1914,plain,
! [SV94: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c] :
( ( ( ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ ( sK28_SY740 @ SV290 @ SV211 @ SV94 ) @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1874]) ).
thf(1915,plain,
! [SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c,SV94: set_Sum_sum_c_c,SV349: sum_sum_c_c] :
( ( ( member_Sum_sum_c_c @ SV349 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
= $false )
| ( ( SV290 @ SV349 )
= $true )
| ( ( SV290 @ ( sK28_SY740 @ SV290 @ SV211 @ SV94 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1875]) ).
thf(1916,plain,
! [SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV94: set_Sum_sum_c_c] :
( ( ( ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) ) )
= $true )
| ( ( SV290 @ ( sK28_SY740 @ SV290 @ SV211 @ SV94 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1876]) ).
thf(1917,plain,
! [SV94: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c] :
( ( ( ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) )
= $true )
| ( ( SV290 @ ( sK28_SY740 @ SV290 @ SV211 @ SV94 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1877]) ).
thf(1918,plain,
! [SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV94: set_Sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ ( sK45_SY742 @ SV94 @ SV290 @ SV211 ) @ SV211 )
| ( SV290 @ ( sK45_SY742 @ SV94 @ SV290 @ SV211 ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) @ SV94 )
= $true )
| ( ( ~ ( ~ ! [SY740: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY740 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
| ( SV290 @ SY740 ) )
| ~ ~ ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) )
| ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1878]) ).
thf(1919,plain,
! [SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV94: set_Sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ ( sK41_SY742 @ SV94 @ SV290 @ SV211 ) @ SV211 ) )
= $false )
| ( ( SV290 @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) )
= $false )
| ( ( ~ ( ~ ! [SY740: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY740 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
| ( SV290 @ SY740 ) )
| ~ ~ ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) )
| ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1879]) ).
thf(1920,plain,
! [SV211: set_Sum_sum_c_c,SV94: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o] :
( ( ( SV290 @ ( sK41_SY742 @ SV94 @ SV290 @ SV211 ) )
= $false )
| ( ( SV290 @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) )
= $false )
| ( ( ~ ( ~ ! [SY740: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY740 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
| ( SV290 @ SY740 ) )
| ~ ~ ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) )
| ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1879]) ).
thf(1921,plain,
! [SV213: set_Sum_sum_c_c,SV292: set_Sum_sum_c_c,SV96: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV96 @ SV292 )
| ~ ( ord_le1772180283um_c_c @ SV213 @ SV292 ) )
= $false )
| ( ( ord_le1772180283um_c_c @ SV96 @ SV292 )
= $false )
| ( ( ord_le1772180283um_c_c @ SV213 @ SV292 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1881]) ).
thf(1922,plain,
! [SV215: set_Sum_sum_c_c,SV294: set_Sum_sum_c_c,SV98: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV98 @ SV294 )
| ~ ( ord_le1772180283um_c_c @ SV215 @ SV294 ) )
= $false )
| ( ( ord_le1772180283um_c_c @ SV98 @ SV294 )
= $false )
| ( ( ord_le1772180283um_c_c @ SV215 @ SV294 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1883]) ).
thf(1923,plain,
! [SV220: set_Sum_sum_c_c,SV298: set_Sum_sum_c_c,SV103: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV103 @ SV298 )
| ~ ( ord_le1772180283um_c_c @ SV220 @ SV298 ) )
= $false )
| ( ( ord_le1772180283um_c_c @ SV103 @ SV298 )
= $false )
| ( ( ord_le1772180283um_c_c @ SV220 @ SV298 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1885]) ).
thf(1924,plain,
! [SV300: set_Sum_sum_c_c,SV223: set_Sum_sum_c_c,SV107: set_Sum_sum_c_c > set_Sum_sum_c_c > set_Sum_sum_c_c] :
( ( ( ! [SY774: set_Sum_sum_c_c] :
( ~ ( ord_le1772180283um_c_c @ ( sK46_SY772 @ SV107 @ SV223 @ SV300 ) @ ( sK42_SY557 @ SV300 @ SV223 @ SV107 ) )
| ~ ( ord_le1772180283um_c_c @ SY774 @ ( sK42_SY557 @ SV300 @ SV223 @ SV107 ) )
| ( ord_le1772180283um_c_c @ ( SV107 @ ( sK46_SY772 @ SV107 @ SV223 @ SV300 ) @ SY774 ) @ ( sK42_SY557 @ SV300 @ SV223 @ SV107 ) ) ) )
= $false )
| ( ( ( sup_su1349021703um_c_c @ SV223 @ SV300 )
= ( SV107 @ SV223 @ SV300 ) )
= $true )
| ( ( ord_le1772180283um_c_c @ ( sK36_SY771 @ SV223 @ SV300 @ SV107 ) @ ( SV107 @ ( sK32_SY555 @ SV300 @ SV223 @ SV107 ) @ ( sK36_SY771 @ SV223 @ SV300 @ SV107 ) ) )
= $false )
| ( ( ord_le1772180283um_c_c @ ( sK23_SY553 @ SV300 @ SV223 @ SV107 ) @ ( SV107 @ ( sK23_SY553 @ SV300 @ SV223 @ SV107 ) @ ( sK26_SY769 @ SV107 @ SV223 @ SV300 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1886]) ).
thf(1925,plain,
! [SV121: produc190496183real_c,SV342: produc190496183real_c,SV236: produc640052711real_c] :
( ( ( SV236
= ( produc1687028567real_c @ ( sK43_SY715 @ SV342 @ SV121 @ SV236 ) @ SV121 ) )
= $true )
| ( ( SV236
= ( produc1687028567real_c @ SV342 @ SV121 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1887]) ).
thf(1926,plain,
! [SV343: finite1398487019real_c,SV122: finite1398487019real_c,SV237: produc190496183real_c] :
( ( ( SV237
= ( produc394644079real_c @ SV122 @ ( sK44_SY716 @ SV343 @ SV122 @ SV237 ) ) )
= $true )
| ( ( SV237
= ( produc394644079real_c @ SV122 @ SV343 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1888]) ).
thf(1927,plain,
! [SV339: finite1398487019real_c,SV313: finite1398487019real_c,SV239: finite1398487019real_c,SV124: finite1398487019real_c] :
( ( ( ( produc394644079real_c @ SV124 @ SV239 )
= ( produc394644079real_c @ SV313 @ SV339 ) )
= $true )
| ( ( SV124 = SV313 )
= $false )
| ( ( SV239 = SV339 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1891]) ).
thf(1928,plain,
! [SV339: finite1398487019real_c,SV239: finite1398487019real_c,SV313: finite1398487019real_c,SV124: finite1398487019real_c] :
( ( ( ~ ( ( SV124 != SV313 )
| ( SV239 != SV339 ) ) )
= $true )
| ( ( SV124 = SV313 )
= $false )
| ( ( SV239 = SV339 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1892]) ).
thf(1929,plain,
! [SV324: hp_a_b_c,SV174: hp_a_b_c,SV263: hp_a_b_c,SV55: hp_a_b_c] :
( ( ( ( SV55 != SV263 )
| ( SV174 != SV324 ) )
= $false )
| ( ( SV55 = SV263 )
= $false )
| ( ( SV174 = SV324 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1896]) ).
thf(1930,plain,
! [SV177: hp_a_b_c,SV58: hp_a_b_c] :
( ( ( hpsafe_a_b_c @ SV58 )
= $true )
| ( ( hpsafe_a_b_c @ SV58 )
= $false )
| ( ( hpsafe_a_b_c @ SV177 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1897]) ).
thf(1931,plain,
! [SV58: hp_a_b_c,SV177: hp_a_b_c] :
( ( ( hpsafe_a_b_c @ SV177 )
= $true )
| ( ( hpsafe_a_b_c @ SV58 )
= $false )
| ( ( hpsafe_a_b_c @ SV177 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1898]) ).
thf(1932,plain,
! [SV326: produc190496183real_c,SV181: produc190496183real_c,SV267: produc190496183real_c,SV62: produc190496183real_c] :
( ( ( ( SV62 != SV267 )
| ( SV181 != SV326 ) )
= $false )
| ( ( SV62 = SV267 )
= $false )
| ( ( SV181 = SV326 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1900]) ).
thf(1933,plain,
! [SV327: set_Pr754230471real_c,SV187: set_Pr754230471real_c,SV353: produc640052711real_c] :
( ( ( ~ ( member346808080real_c @ SV353 @ SV187 ) )
= $true )
| ( ( member346808080real_c @ SV353 @ SV327 )
= $true )
| ( ( member346808080real_c @ ( sK29_SY759 @ SV327 @ SV187 ) @ SV187 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1901]) ).
thf(1934,plain,
! [SV327: set_Pr754230471real_c,SV187: set_Pr754230471real_c,SV350: produc640052711real_c] :
( ( ( member346808080real_c @ SV350 @ SV187 )
= $false )
| ( ( member346808080real_c @ SV350 @ SV327 )
= $true )
| ( ( member346808080real_c @ ( sK29_SY759 @ SV327 @ SV187 ) @ SV327 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1902]) ).
thf(1935,plain,
! [SV328: finite1398487019real_c,SV190: finite1398487019real_c,SV272: finite1398487019real_c,SV71: finite1398487019real_c] :
( ( ( ( SV71 != SV272 )
| ( SV190 != SV328 ) )
= $false )
| ( ( SV71 = SV272 )
= $false )
| ( ( SV190 = SV328 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1904]) ).
thf(1936,plain,
! [SV344: sum_sum_c_c,SV273: sum_sum_c_c > $o,SV191: set_Sum_sum_c_c,SV72: set_Sum_sum_c_c] :
( ( ( ~ ~ ! [SY728: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY728 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
| ~ ( SV273 @ SY728 ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ SV344 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
= $false )
| ( ( SV273 @ SV344 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1905]) ).
thf(1937,plain,
! [SV344: sum_sum_c_c,SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV72: set_Sum_sum_c_c] :
( ( ( ~ ( ~ ! [SY729: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY729 @ SV72 )
| ~ ( SV273 @ SY729 ) )
| ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ SV344 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
= $false )
| ( ( SV273 @ SV344 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1905]) ).
thf(1938,plain,
! [SV345: sum_sum_c_c,SV273: sum_sum_c_c > $o,SV191: set_Sum_sum_c_c,SV72: set_Sum_sum_c_c] :
( ( ( ~ ~ ! [SY728: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY728 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
| ~ ( SV273 @ SY728 ) )
| ~ ( ~ ! [SY729: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY729 @ SV72 )
| ~ ( SV273 @ SY729 ) )
| ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ SV345 @ SV72 )
= $false )
| ( ( SV273 @ SV345 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1906]) ).
thf(1939,plain,
! [SV346: sum_sum_c_c,SV273: sum_sum_c_c > $o,SV191: set_Sum_sum_c_c,SV72: set_Sum_sum_c_c] :
( ( ( ~ ~ ! [SY728: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY728 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
| ~ ( SV273 @ SY728 ) )
| ~ ( ~ ! [SY729: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY729 @ SV72 )
| ~ ( SV273 @ SY729 ) )
| ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ SV346 @ SV191 )
= $false )
| ( ( SV273 @ SV346 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1907]) ).
thf(1940,plain,
! [SV330: produc190496183real_c,SV197: produc190496183real_c,SV277: produc190496183real_c,SV78: produc190496183real_c] :
( ( ( ( SV78 != SV277 )
| ( SV197 != SV330 ) )
= $false )
| ( ( SV78 = SV277 )
= $false )
| ( ( SV197 = SV330 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1909]) ).
thf(1941,plain,
! [SV331: set_Pr754230471real_c,SV199: set_Pr754230471real_c,SV354: produc640052711real_c] :
( ( ( ~ ( member346808080real_c @ SV354 @ SV199 ) )
= $true )
| ( ( member346808080real_c @ SV354 @ SV331 )
= $true )
| ( ( member346808080real_c @ ( sK30_SY760 @ SV331 @ SV199 ) @ SV199 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1910]) ).
thf(1942,plain,
! [SV331: set_Pr754230471real_c,SV199: set_Pr754230471real_c,SV351: produc640052711real_c] :
( ( ( member346808080real_c @ SV351 @ SV199 )
= $false )
| ( ( member346808080real_c @ SV351 @ SV331 )
= $true )
| ( ( member346808080real_c @ ( sK30_SY760 @ SV331 @ SV199 ) @ SV331 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1911]) ).
thf(1943,plain,
! [SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c,SV94: set_Sum_sum_c_c,SV352: sum_sum_c_c] :
( ( ( member_Sum_sum_c_c @ SV352 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
= $false )
| ( ( SV290 @ SV352 )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK28_SY740 @ SV290 @ SV211 @ SV94 ) @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1912]) ).
thf(1944,plain,
! [SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV94: set_Sum_sum_c_c] :
( ( ( ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) ) )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK28_SY740 @ SV290 @ SV211 @ SV94 ) @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1913]) ).
thf(1945,plain,
! [SV94: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c] :
( ( ( ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK28_SY740 @ SV290 @ SV211 @ SV94 ) @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1914]) ).
thf(1946,plain,
! [SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV94: set_Sum_sum_c_c,SV355: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ SV355 @ SV94 )
| ( SV290 @ SV355 ) )
= $true )
| ( ( SV290 @ ( sK28_SY740 @ SV290 @ SV211 @ SV94 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1916]) ).
thf(1947,plain,
! [SV94: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c,SV356: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ SV356 @ SV211 )
| ( SV290 @ SV356 ) )
= $true )
| ( ( SV290 @ ( sK28_SY740 @ SV290 @ SV211 @ SV94 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1917]) ).
thf(1948,plain,
! [SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV94: set_Sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ ( sK45_SY742 @ SV94 @ SV290 @ SV211 ) @ SV211 ) )
= $false )
| ( ( member_Sum_sum_c_c @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) @ SV94 )
= $true )
| ( ( ~ ( ~ ! [SY740: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY740 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
| ( SV290 @ SY740 ) )
| ~ ~ ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) )
| ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1918]) ).
thf(1949,plain,
! [SV211: set_Sum_sum_c_c,SV94: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o] :
( ( ( SV290 @ ( sK45_SY742 @ SV94 @ SV290 @ SV211 ) )
= $false )
| ( ( member_Sum_sum_c_c @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) @ SV94 )
= $true )
| ( ( ~ ( ~ ! [SY740: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY740 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
| ( SV290 @ SY740 ) )
| ~ ~ ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) )
| ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1918]) ).
thf(1950,plain,
! [SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV94: set_Sum_sum_c_c] :
( ( ( member_Sum_sum_c_c @ ( sK41_SY742 @ SV94 @ SV290 @ SV211 ) @ SV211 )
= $true )
| ( ( SV290 @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) )
= $false )
| ( ( ~ ( ~ ! [SY740: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY740 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
| ( SV290 @ SY740 ) )
| ~ ~ ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) )
| ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1919]) ).
thf(1951,plain,
! [SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c,SV94: set_Sum_sum_c_c] :
( ( ( ~ ! [SY740: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY740 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
| ( SV290 @ SY740 ) )
| ~ ~ ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) )
| ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) ) )
= $false )
| ( ( SV290 @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) )
= $false )
| ( ( SV290 @ ( sK41_SY742 @ SV94 @ SV290 @ SV211 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1920]) ).
thf(1952,plain,
! [SV213: set_Sum_sum_c_c,SV292: set_Sum_sum_c_c,SV96: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV96 @ SV292 ) )
= $false )
| ( ( ord_le1772180283um_c_c @ SV96 @ SV292 )
= $false )
| ( ( ord_le1772180283um_c_c @ SV213 @ SV292 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1921]) ).
thf(1953,plain,
! [SV96: set_Sum_sum_c_c,SV292: set_Sum_sum_c_c,SV213: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV213 @ SV292 ) )
= $false )
| ( ( ord_le1772180283um_c_c @ SV96 @ SV292 )
= $false )
| ( ( ord_le1772180283um_c_c @ SV213 @ SV292 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1921]) ).
thf(1954,plain,
! [SV215: set_Sum_sum_c_c,SV294: set_Sum_sum_c_c,SV98: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV98 @ SV294 ) )
= $false )
| ( ( ord_le1772180283um_c_c @ SV98 @ SV294 )
= $false )
| ( ( ord_le1772180283um_c_c @ SV215 @ SV294 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1922]) ).
thf(1955,plain,
! [SV98: set_Sum_sum_c_c,SV294: set_Sum_sum_c_c,SV215: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV215 @ SV294 ) )
= $false )
| ( ( ord_le1772180283um_c_c @ SV98 @ SV294 )
= $false )
| ( ( ord_le1772180283um_c_c @ SV215 @ SV294 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1922]) ).
thf(1956,plain,
! [SV220: set_Sum_sum_c_c,SV298: set_Sum_sum_c_c,SV103: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV103 @ SV298 ) )
= $false )
| ( ( ord_le1772180283um_c_c @ SV103 @ SV298 )
= $false )
| ( ( ord_le1772180283um_c_c @ SV220 @ SV298 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1923]) ).
thf(1957,plain,
! [SV103: set_Sum_sum_c_c,SV298: set_Sum_sum_c_c,SV220: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ SV220 @ SV298 ) )
= $false )
| ( ( ord_le1772180283um_c_c @ SV103 @ SV298 )
= $false )
| ( ( ord_le1772180283um_c_c @ SV220 @ SV298 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1923]) ).
thf(1958,plain,
! [SV300: set_Sum_sum_c_c,SV223: set_Sum_sum_c_c,SV107: set_Sum_sum_c_c > set_Sum_sum_c_c > set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ ( sK46_SY772 @ SV107 @ SV223 @ SV300 ) @ ( sK42_SY557 @ SV300 @ SV223 @ SV107 ) )
| ~ ( ord_le1772180283um_c_c @ ( sK47_SY774 @ SV300 @ SV223 @ SV107 ) @ ( sK42_SY557 @ SV300 @ SV223 @ SV107 ) )
| ( ord_le1772180283um_c_c @ ( SV107 @ ( sK46_SY772 @ SV107 @ SV223 @ SV300 ) @ ( sK47_SY774 @ SV300 @ SV223 @ SV107 ) ) @ ( sK42_SY557 @ SV300 @ SV223 @ SV107 ) ) )
= $false )
| ( ( ( sup_su1349021703um_c_c @ SV223 @ SV300 )
= ( SV107 @ SV223 @ SV300 ) )
= $true )
| ( ( ord_le1772180283um_c_c @ ( sK36_SY771 @ SV223 @ SV300 @ SV107 ) @ ( SV107 @ ( sK32_SY555 @ SV300 @ SV223 @ SV107 ) @ ( sK36_SY771 @ SV223 @ SV300 @ SV107 ) ) )
= $false )
| ( ( ord_le1772180283um_c_c @ ( sK23_SY553 @ SV300 @ SV223 @ SV107 ) @ ( SV107 @ ( sK23_SY553 @ SV300 @ SV223 @ SV107 ) @ ( sK26_SY769 @ SV107 @ SV223 @ SV300 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1924]) ).
thf(1959,plain,
! [SV339: finite1398487019real_c,SV239: finite1398487019real_c,SV313: finite1398487019real_c,SV124: finite1398487019real_c] :
( ( ( ( SV124 != SV313 )
| ( SV239 != SV339 ) )
= $false )
| ( ( SV124 = SV313 )
= $false )
| ( ( SV239 = SV339 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1928]) ).
thf(1960,plain,
! [SV324: hp_a_b_c,SV174: hp_a_b_c,SV263: hp_a_b_c,SV55: hp_a_b_c] :
( ( ( SV55 != SV263 )
= $false )
| ( ( SV55 = SV263 )
= $false )
| ( ( SV174 = SV324 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1929]) ).
thf(1961,plain,
! [SV263: hp_a_b_c,SV55: hp_a_b_c,SV324: hp_a_b_c,SV174: hp_a_b_c] :
( ( ( SV174 != SV324 )
= $false )
| ( ( SV55 = SV263 )
= $false )
| ( ( SV174 = SV324 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1929]) ).
thf(1962,plain,
! [SV326: produc190496183real_c,SV181: produc190496183real_c,SV267: produc190496183real_c,SV62: produc190496183real_c] :
( ( ( SV62 != SV267 )
= $false )
| ( ( SV62 = SV267 )
= $false )
| ( ( SV181 = SV326 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1932]) ).
thf(1963,plain,
! [SV267: produc190496183real_c,SV62: produc190496183real_c,SV326: produc190496183real_c,SV181: produc190496183real_c] :
( ( ( SV181 != SV326 )
= $false )
| ( ( SV62 = SV267 )
= $false )
| ( ( SV181 = SV326 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1932]) ).
thf(1964,plain,
! [SV327: set_Pr754230471real_c,SV187: set_Pr754230471real_c,SV353: produc640052711real_c] :
( ( ( member346808080real_c @ SV353 @ SV187 )
= $false )
| ( ( member346808080real_c @ SV353 @ SV327 )
= $true )
| ( ( member346808080real_c @ ( sK29_SY759 @ SV327 @ SV187 ) @ SV187 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1933]) ).
thf(1965,plain,
! [SV328: finite1398487019real_c,SV190: finite1398487019real_c,SV272: finite1398487019real_c,SV71: finite1398487019real_c] :
( ( ( SV71 != SV272 )
= $false )
| ( ( SV71 = SV272 )
= $false )
| ( ( SV190 = SV328 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1935]) ).
thf(1966,plain,
! [SV272: finite1398487019real_c,SV71: finite1398487019real_c,SV328: finite1398487019real_c,SV190: finite1398487019real_c] :
( ( ( SV190 != SV328 )
= $false )
| ( ( SV71 = SV272 )
= $false )
| ( ( SV190 = SV328 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1935]) ).
thf(1967,plain,
! [SV344: sum_sum_c_c,SV273: sum_sum_c_c > $o,SV191: set_Sum_sum_c_c,SV72: set_Sum_sum_c_c] :
( ( ( ~ ! [SY728: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY728 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
| ~ ( SV273 @ SY728 ) ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV344 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
= $false )
| ( ( SV273 @ SV344 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1936]) ).
thf(1968,plain,
! [SV344: sum_sum_c_c,SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV72: set_Sum_sum_c_c] :
( ( ( ~ ! [SY729: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY729 @ SV72 )
| ~ ( SV273 @ SY729 ) )
| ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV344 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
= $false )
| ( ( SV273 @ SV344 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1937]) ).
thf(1969,plain,
! [SV345: sum_sum_c_c,SV273: sum_sum_c_c > $o,SV191: set_Sum_sum_c_c,SV72: set_Sum_sum_c_c] :
( ( ( ~ ~ ! [SY728: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY728 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
| ~ ( SV273 @ SY728 ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ SV345 @ SV72 )
= $false )
| ( ( SV273 @ SV345 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1938]) ).
thf(1970,plain,
! [SV345: sum_sum_c_c,SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV72: set_Sum_sum_c_c] :
( ( ( ~ ( ~ ! [SY729: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY729 @ SV72 )
| ~ ( SV273 @ SY729 ) )
| ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ SV345 @ SV72 )
= $false )
| ( ( SV273 @ SV345 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1938]) ).
thf(1971,plain,
! [SV346: sum_sum_c_c,SV273: sum_sum_c_c > $o,SV191: set_Sum_sum_c_c,SV72: set_Sum_sum_c_c] :
( ( ( ~ ~ ! [SY728: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY728 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
| ~ ( SV273 @ SY728 ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ SV346 @ SV191 )
= $false )
| ( ( SV273 @ SV346 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1939]) ).
thf(1972,plain,
! [SV346: sum_sum_c_c,SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV72: set_Sum_sum_c_c] :
( ( ( ~ ( ~ ! [SY729: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY729 @ SV72 )
| ~ ( SV273 @ SY729 ) )
| ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ SV346 @ SV191 )
= $false )
| ( ( SV273 @ SV346 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1939]) ).
thf(1973,plain,
! [SV330: produc190496183real_c,SV197: produc190496183real_c,SV277: produc190496183real_c,SV78: produc190496183real_c] :
( ( ( SV78 != SV277 )
= $false )
| ( ( SV78 = SV277 )
= $false )
| ( ( SV197 = SV330 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1940]) ).
thf(1974,plain,
! [SV277: produc190496183real_c,SV78: produc190496183real_c,SV330: produc190496183real_c,SV197: produc190496183real_c] :
( ( ( SV197 != SV330 )
= $false )
| ( ( SV78 = SV277 )
= $false )
| ( ( SV197 = SV330 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1940]) ).
thf(1975,plain,
! [SV331: set_Pr754230471real_c,SV199: set_Pr754230471real_c,SV354: produc640052711real_c] :
( ( ( member346808080real_c @ SV354 @ SV199 )
= $false )
| ( ( member346808080real_c @ SV354 @ SV331 )
= $true )
| ( ( member346808080real_c @ ( sK30_SY760 @ SV331 @ SV199 ) @ SV199 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1941]) ).
thf(1976,plain,
! [SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV94: set_Sum_sum_c_c,SV357: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ SV357 @ SV94 )
| ( SV290 @ SV357 ) )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK28_SY740 @ SV290 @ SV211 @ SV94 ) @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1944]) ).
thf(1977,plain,
! [SV94: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c,SV358: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ SV358 @ SV211 )
| ( SV290 @ SV358 ) )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK28_SY740 @ SV290 @ SV211 @ SV94 ) @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1945]) ).
thf(1978,plain,
! [SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV94: set_Sum_sum_c_c,SV355: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ SV355 @ SV94 ) )
= $true )
| ( ( SV290 @ SV355 )
= $true )
| ( ( SV290 @ ( sK28_SY740 @ SV290 @ SV211 @ SV94 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1946]) ).
thf(1979,plain,
! [SV94: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c,SV356: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ SV356 @ SV211 ) )
= $true )
| ( ( SV290 @ SV356 )
= $true )
| ( ( SV290 @ ( sK28_SY740 @ SV290 @ SV211 @ SV94 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1947]) ).
thf(1980,plain,
! [SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV94: set_Sum_sum_c_c] :
( ( ( member_Sum_sum_c_c @ ( sK45_SY742 @ SV94 @ SV290 @ SV211 ) @ SV211 )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) @ SV94 )
= $true )
| ( ( ~ ( ~ ! [SY740: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY740 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
| ( SV290 @ SY740 ) )
| ~ ~ ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) )
| ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1948]) ).
thf(1981,plain,
! [SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c,SV94: set_Sum_sum_c_c] :
( ( ( ~ ! [SY740: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY740 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
| ( SV290 @ SY740 ) )
| ~ ~ ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) )
| ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) @ SV94 )
= $true )
| ( ( SV290 @ ( sK45_SY742 @ SV94 @ SV290 @ SV211 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1949]) ).
thf(1982,plain,
! [SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c,SV94: set_Sum_sum_c_c] :
( ( ( ~ ! [SY740: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY740 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
| ( SV290 @ SY740 ) )
| ~ ~ ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) )
| ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) ) )
= $false )
| ( ( SV290 @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) )
= $false )
| ( ( member_Sum_sum_c_c @ ( sK41_SY742 @ SV94 @ SV290 @ SV211 ) @ SV211 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1950]) ).
thf(1983,plain,
! [SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c,SV94: set_Sum_sum_c_c] :
( ( ( ~ ! [SY740: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY740 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
| ( SV290 @ SY740 ) ) )
= $false )
| ( ( SV290 @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) )
= $false )
| ( ( SV290 @ ( sK41_SY742 @ SV94 @ SV290 @ SV211 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1951]) ).
thf(1984,plain,
! [SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV94: set_Sum_sum_c_c] :
( ( ( ~ ~ ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) )
| ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) ) )
= $false )
| ( ( SV290 @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) )
= $false )
| ( ( SV290 @ ( sK41_SY742 @ SV94 @ SV290 @ SV211 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1951]) ).
thf(1985,plain,
! [SV213: set_Sum_sum_c_c,SV292: set_Sum_sum_c_c,SV96: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV96 @ SV292 )
= $true )
| ( ( ord_le1772180283um_c_c @ SV96 @ SV292 )
= $false )
| ( ( ord_le1772180283um_c_c @ SV213 @ SV292 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1952]) ).
thf(1986,plain,
! [SV96: set_Sum_sum_c_c,SV292: set_Sum_sum_c_c,SV213: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV213 @ SV292 )
= $true )
| ( ( ord_le1772180283um_c_c @ SV96 @ SV292 )
= $false )
| ( ( ord_le1772180283um_c_c @ SV213 @ SV292 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1953]) ).
thf(1987,plain,
! [SV215: set_Sum_sum_c_c,SV294: set_Sum_sum_c_c,SV98: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV98 @ SV294 )
= $true )
| ( ( ord_le1772180283um_c_c @ SV98 @ SV294 )
= $false )
| ( ( ord_le1772180283um_c_c @ SV215 @ SV294 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1954]) ).
thf(1988,plain,
! [SV98: set_Sum_sum_c_c,SV294: set_Sum_sum_c_c,SV215: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV215 @ SV294 )
= $true )
| ( ( ord_le1772180283um_c_c @ SV98 @ SV294 )
= $false )
| ( ( ord_le1772180283um_c_c @ SV215 @ SV294 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1955]) ).
thf(1989,plain,
! [SV220: set_Sum_sum_c_c,SV298: set_Sum_sum_c_c,SV103: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV103 @ SV298 )
= $true )
| ( ( ord_le1772180283um_c_c @ SV103 @ SV298 )
= $false )
| ( ( ord_le1772180283um_c_c @ SV220 @ SV298 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1956]) ).
thf(1990,plain,
! [SV103: set_Sum_sum_c_c,SV298: set_Sum_sum_c_c,SV220: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ SV220 @ SV298 )
= $true )
| ( ( ord_le1772180283um_c_c @ SV103 @ SV298 )
= $false )
| ( ( ord_le1772180283um_c_c @ SV220 @ SV298 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1957]) ).
thf(1991,plain,
! [SV300: set_Sum_sum_c_c,SV223: set_Sum_sum_c_c,SV107: set_Sum_sum_c_c > set_Sum_sum_c_c > set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ ( sK46_SY772 @ SV107 @ SV223 @ SV300 ) @ ( sK42_SY557 @ SV300 @ SV223 @ SV107 ) ) )
= $false )
| ( ( ( sup_su1349021703um_c_c @ SV223 @ SV300 )
= ( SV107 @ SV223 @ SV300 ) )
= $true )
| ( ( ord_le1772180283um_c_c @ ( sK36_SY771 @ SV223 @ SV300 @ SV107 ) @ ( SV107 @ ( sK32_SY555 @ SV300 @ SV223 @ SV107 ) @ ( sK36_SY771 @ SV223 @ SV300 @ SV107 ) ) )
= $false )
| ( ( ord_le1772180283um_c_c @ ( sK23_SY553 @ SV300 @ SV223 @ SV107 ) @ ( SV107 @ ( sK23_SY553 @ SV300 @ SV223 @ SV107 ) @ ( sK26_SY769 @ SV107 @ SV223 @ SV300 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1958]) ).
thf(1992,plain,
! [SV107: set_Sum_sum_c_c > set_Sum_sum_c_c > set_Sum_sum_c_c,SV223: set_Sum_sum_c_c,SV300: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ ( sK47_SY774 @ SV300 @ SV223 @ SV107 ) @ ( sK42_SY557 @ SV300 @ SV223 @ SV107 ) )
| ( ord_le1772180283um_c_c @ ( SV107 @ ( sK46_SY772 @ SV107 @ SV223 @ SV300 ) @ ( sK47_SY774 @ SV300 @ SV223 @ SV107 ) ) @ ( sK42_SY557 @ SV300 @ SV223 @ SV107 ) ) )
= $false )
| ( ( ( sup_su1349021703um_c_c @ SV223 @ SV300 )
= ( SV107 @ SV223 @ SV300 ) )
= $true )
| ( ( ord_le1772180283um_c_c @ ( sK36_SY771 @ SV223 @ SV300 @ SV107 ) @ ( SV107 @ ( sK32_SY555 @ SV300 @ SV223 @ SV107 ) @ ( sK36_SY771 @ SV223 @ SV300 @ SV107 ) ) )
= $false )
| ( ( ord_le1772180283um_c_c @ ( sK23_SY553 @ SV300 @ SV223 @ SV107 ) @ ( SV107 @ ( sK23_SY553 @ SV300 @ SV223 @ SV107 ) @ ( sK26_SY769 @ SV107 @ SV223 @ SV300 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1958]) ).
thf(1993,plain,
! [SV339: finite1398487019real_c,SV239: finite1398487019real_c,SV313: finite1398487019real_c,SV124: finite1398487019real_c] :
( ( ( SV124 != SV313 )
= $false )
| ( ( SV124 = SV313 )
= $false )
| ( ( SV239 = SV339 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1959]) ).
thf(1994,plain,
! [SV313: finite1398487019real_c,SV124: finite1398487019real_c,SV339: finite1398487019real_c,SV239: finite1398487019real_c] :
( ( ( SV239 != SV339 )
= $false )
| ( ( SV124 = SV313 )
= $false )
| ( ( SV239 = SV339 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1959]) ).
thf(1995,plain,
! [SV324: hp_a_b_c,SV174: hp_a_b_c,SV263: hp_a_b_c,SV55: hp_a_b_c] :
( ( ( SV55 = SV263 )
= $true )
| ( ( SV55 = SV263 )
= $false )
| ( ( SV174 = SV324 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1960]) ).
thf(1996,plain,
! [SV263: hp_a_b_c,SV55: hp_a_b_c,SV324: hp_a_b_c,SV174: hp_a_b_c] :
( ( ( SV174 = SV324 )
= $true )
| ( ( SV55 = SV263 )
= $false )
| ( ( SV174 = SV324 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1961]) ).
thf(1997,plain,
! [SV326: produc190496183real_c,SV181: produc190496183real_c,SV267: produc190496183real_c,SV62: produc190496183real_c] :
( ( ( SV62 = SV267 )
= $true )
| ( ( SV62 = SV267 )
= $false )
| ( ( SV181 = SV326 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1962]) ).
thf(1998,plain,
! [SV267: produc190496183real_c,SV62: produc190496183real_c,SV326: produc190496183real_c,SV181: produc190496183real_c] :
( ( ( SV181 = SV326 )
= $true )
| ( ( SV62 = SV267 )
= $false )
| ( ( SV181 = SV326 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1963]) ).
thf(1999,plain,
! [SV328: finite1398487019real_c,SV190: finite1398487019real_c,SV272: finite1398487019real_c,SV71: finite1398487019real_c] :
( ( ( SV71 = SV272 )
= $true )
| ( ( SV71 = SV272 )
= $false )
| ( ( SV190 = SV328 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1965]) ).
thf(2000,plain,
! [SV272: finite1398487019real_c,SV71: finite1398487019real_c,SV328: finite1398487019real_c,SV190: finite1398487019real_c] :
( ( ( SV190 = SV328 )
= $true )
| ( ( SV71 = SV272 )
= $false )
| ( ( SV190 = SV328 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1966]) ).
thf(2001,plain,
! [SV344: sum_sum_c_c,SV273: sum_sum_c_c > $o,SV191: set_Sum_sum_c_c,SV72: set_Sum_sum_c_c] :
( ( ( ! [SY728: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY728 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
| ~ ( SV273 @ SY728 ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ SV344 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
= $false )
| ( ( SV273 @ SV344 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1967]) ).
thf(2002,plain,
! [SV344: sum_sum_c_c,SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV72: set_Sum_sum_c_c] :
( ( ( ~ ! [SY729: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY729 @ SV72 )
| ~ ( SV273 @ SY729 ) ) )
= $true )
| ( ( ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV344 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
= $false )
| ( ( SV273 @ SV344 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1968]) ).
thf(2003,plain,
! [SV345: sum_sum_c_c,SV273: sum_sum_c_c > $o,SV191: set_Sum_sum_c_c,SV72: set_Sum_sum_c_c] :
( ( ( ~ ! [SY728: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY728 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
| ~ ( SV273 @ SY728 ) ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV345 @ SV72 )
= $false )
| ( ( SV273 @ SV345 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1969]) ).
thf(2004,plain,
! [SV345: sum_sum_c_c,SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV72: set_Sum_sum_c_c] :
( ( ( ~ ! [SY729: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY729 @ SV72 )
| ~ ( SV273 @ SY729 ) )
| ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV345 @ SV72 )
= $false )
| ( ( SV273 @ SV345 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1970]) ).
thf(2005,plain,
! [SV346: sum_sum_c_c,SV273: sum_sum_c_c > $o,SV191: set_Sum_sum_c_c,SV72: set_Sum_sum_c_c] :
( ( ( ~ ! [SY728: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY728 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
| ~ ( SV273 @ SY728 ) ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV346 @ SV191 )
= $false )
| ( ( SV273 @ SV346 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1971]) ).
thf(2006,plain,
! [SV346: sum_sum_c_c,SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV72: set_Sum_sum_c_c] :
( ( ( ~ ! [SY729: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY729 @ SV72 )
| ~ ( SV273 @ SY729 ) )
| ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV346 @ SV191 )
= $false )
| ( ( SV273 @ SV346 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1972]) ).
thf(2007,plain,
! [SV330: produc190496183real_c,SV197: produc190496183real_c,SV277: produc190496183real_c,SV78: produc190496183real_c] :
( ( ( SV78 = SV277 )
= $true )
| ( ( SV78 = SV277 )
= $false )
| ( ( SV197 = SV330 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1973]) ).
thf(2008,plain,
! [SV277: produc190496183real_c,SV78: produc190496183real_c,SV330: produc190496183real_c,SV197: produc190496183real_c] :
( ( ( SV197 = SV330 )
= $true )
| ( ( SV78 = SV277 )
= $false )
| ( ( SV197 = SV330 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1974]) ).
thf(2009,plain,
! [SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV94: set_Sum_sum_c_c,SV357: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ SV357 @ SV94 ) )
= $true )
| ( ( SV290 @ SV357 )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK28_SY740 @ SV290 @ SV211 @ SV94 ) @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1976]) ).
thf(2010,plain,
! [SV94: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c,SV358: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ SV358 @ SV211 ) )
= $true )
| ( ( SV290 @ SV358 )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK28_SY740 @ SV290 @ SV211 @ SV94 ) @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1977]) ).
thf(2011,plain,
! [SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV94: set_Sum_sum_c_c,SV355: sum_sum_c_c] :
( ( ( member_Sum_sum_c_c @ SV355 @ SV94 )
= $false )
| ( ( SV290 @ SV355 )
= $true )
| ( ( SV290 @ ( sK28_SY740 @ SV290 @ SV211 @ SV94 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1978]) ).
thf(2012,plain,
! [SV94: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c,SV356: sum_sum_c_c] :
( ( ( member_Sum_sum_c_c @ SV356 @ SV211 )
= $false )
| ( ( SV290 @ SV356 )
= $true )
| ( ( SV290 @ ( sK28_SY740 @ SV290 @ SV211 @ SV94 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1979]) ).
thf(2013,plain,
! [SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c,SV94: set_Sum_sum_c_c] :
( ( ( ~ ! [SY740: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY740 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
| ( SV290 @ SY740 ) )
| ~ ~ ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) )
| ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) @ SV94 )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK45_SY742 @ SV94 @ SV290 @ SV211 ) @ SV211 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1980]) ).
thf(2014,plain,
! [SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c,SV94: set_Sum_sum_c_c] :
( ( ( ~ ! [SY740: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY740 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
| ( SV290 @ SY740 ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) @ SV94 )
= $true )
| ( ( SV290 @ ( sK45_SY742 @ SV94 @ SV290 @ SV211 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1981]) ).
thf(2015,plain,
! [SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV94: set_Sum_sum_c_c] :
( ( ( ~ ~ ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) )
| ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) @ SV94 )
= $true )
| ( ( SV290 @ ( sK45_SY742 @ SV94 @ SV290 @ SV211 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1981]) ).
thf(2016,plain,
! [SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c,SV94: set_Sum_sum_c_c] :
( ( ( ~ ! [SY740: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY740 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
| ( SV290 @ SY740 ) ) )
= $false )
| ( ( SV290 @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) )
= $false )
| ( ( member_Sum_sum_c_c @ ( sK41_SY742 @ SV94 @ SV290 @ SV211 ) @ SV211 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1982]) ).
thf(2017,plain,
! [SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV94: set_Sum_sum_c_c] :
( ( ( ~ ~ ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) )
| ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) ) )
= $false )
| ( ( SV290 @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) )
= $false )
| ( ( member_Sum_sum_c_c @ ( sK41_SY742 @ SV94 @ SV290 @ SV211 ) @ SV211 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1982]) ).
thf(2018,plain,
! [SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c,SV94: set_Sum_sum_c_c] :
( ( ( ! [SY740: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY740 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
| ( SV290 @ SY740 ) ) )
= $true )
| ( ( SV290 @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) )
= $false )
| ( ( SV290 @ ( sK41_SY742 @ SV94 @ SV290 @ SV211 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1983]) ).
thf(2019,plain,
! [SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV94: set_Sum_sum_c_c] :
( ( ( ~ ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) )
| ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) ) )
= $true )
| ( ( SV290 @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) )
= $false )
| ( ( SV290 @ ( sK41_SY742 @ SV94 @ SV290 @ SV211 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1984]) ).
thf(2020,plain,
! [SV300: set_Sum_sum_c_c,SV223: set_Sum_sum_c_c,SV107: set_Sum_sum_c_c > set_Sum_sum_c_c > set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ ( sK46_SY772 @ SV107 @ SV223 @ SV300 ) @ ( sK42_SY557 @ SV300 @ SV223 @ SV107 ) )
= $true )
| ( ( ( sup_su1349021703um_c_c @ SV223 @ SV300 )
= ( SV107 @ SV223 @ SV300 ) )
= $true )
| ( ( ord_le1772180283um_c_c @ ( sK36_SY771 @ SV223 @ SV300 @ SV107 ) @ ( SV107 @ ( sK32_SY555 @ SV300 @ SV223 @ SV107 ) @ ( sK36_SY771 @ SV223 @ SV300 @ SV107 ) ) )
= $false )
| ( ( ord_le1772180283um_c_c @ ( sK23_SY553 @ SV300 @ SV223 @ SV107 ) @ ( SV107 @ ( sK23_SY553 @ SV300 @ SV223 @ SV107 ) @ ( sK26_SY769 @ SV107 @ SV223 @ SV300 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1991]) ).
thf(2021,plain,
! [SV107: set_Sum_sum_c_c > set_Sum_sum_c_c > set_Sum_sum_c_c,SV223: set_Sum_sum_c_c,SV300: set_Sum_sum_c_c] :
( ( ( ~ ( ord_le1772180283um_c_c @ ( sK47_SY774 @ SV300 @ SV223 @ SV107 ) @ ( sK42_SY557 @ SV300 @ SV223 @ SV107 ) ) )
= $false )
| ( ( ( sup_su1349021703um_c_c @ SV223 @ SV300 )
= ( SV107 @ SV223 @ SV300 ) )
= $true )
| ( ( ord_le1772180283um_c_c @ ( sK36_SY771 @ SV223 @ SV300 @ SV107 ) @ ( SV107 @ ( sK32_SY555 @ SV300 @ SV223 @ SV107 ) @ ( sK36_SY771 @ SV223 @ SV300 @ SV107 ) ) )
= $false )
| ( ( ord_le1772180283um_c_c @ ( sK23_SY553 @ SV300 @ SV223 @ SV107 ) @ ( SV107 @ ( sK23_SY553 @ SV300 @ SV223 @ SV107 ) @ ( sK26_SY769 @ SV107 @ SV223 @ SV300 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1992]) ).
thf(2022,plain,
! [SV300: set_Sum_sum_c_c,SV223: set_Sum_sum_c_c,SV107: set_Sum_sum_c_c > set_Sum_sum_c_c > set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ ( SV107 @ ( sK46_SY772 @ SV107 @ SV223 @ SV300 ) @ ( sK47_SY774 @ SV300 @ SV223 @ SV107 ) ) @ ( sK42_SY557 @ SV300 @ SV223 @ SV107 ) )
= $false )
| ( ( ( sup_su1349021703um_c_c @ SV223 @ SV300 )
= ( SV107 @ SV223 @ SV300 ) )
= $true )
| ( ( ord_le1772180283um_c_c @ ( sK36_SY771 @ SV223 @ SV300 @ SV107 ) @ ( SV107 @ ( sK32_SY555 @ SV300 @ SV223 @ SV107 ) @ ( sK36_SY771 @ SV223 @ SV300 @ SV107 ) ) )
= $false )
| ( ( ord_le1772180283um_c_c @ ( sK23_SY553 @ SV300 @ SV223 @ SV107 ) @ ( SV107 @ ( sK23_SY553 @ SV300 @ SV223 @ SV107 ) @ ( sK26_SY769 @ SV107 @ SV223 @ SV300 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1992]) ).
thf(2023,plain,
! [SV339: finite1398487019real_c,SV239: finite1398487019real_c,SV313: finite1398487019real_c,SV124: finite1398487019real_c] :
( ( ( SV124 = SV313 )
= $true )
| ( ( SV124 = SV313 )
= $false )
| ( ( SV239 = SV339 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1993]) ).
thf(2024,plain,
! [SV313: finite1398487019real_c,SV124: finite1398487019real_c,SV339: finite1398487019real_c,SV239: finite1398487019real_c] :
( ( ( SV239 = SV339 )
= $true )
| ( ( SV124 = SV313 )
= $false )
| ( ( SV239 = SV339 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1994]) ).
thf(2025,plain,
! [SV72: set_Sum_sum_c_c,SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV344: sum_sum_c_c] :
( ( ( ~ ~ ( ~ ( member_Sum_sum_c_c @ ( sK48_SY728 @ SV344 @ SV273 @ SV191 @ SV72 ) @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
| ~ ( SV273 @ ( sK48_SY728 @ SV344 @ SV273 @ SV191 @ SV72 ) ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ SV344 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
= $false )
| ( ( SV273 @ SV344 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2001]) ).
thf(2026,plain,
! [SV344: sum_sum_c_c,SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV72: set_Sum_sum_c_c] :
( ( ( ! [SY729: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY729 @ SV72 )
| ~ ( SV273 @ SY729 ) ) )
= $false )
| ( ( ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV344 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
= $false )
| ( ( SV273 @ SV344 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2002]) ).
thf(2027,plain,
! [SV345: sum_sum_c_c,SV273: sum_sum_c_c > $o,SV191: set_Sum_sum_c_c,SV72: set_Sum_sum_c_c] :
( ( ( ! [SY728: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY728 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
| ~ ( SV273 @ SY728 ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ SV345 @ SV72 )
= $false )
| ( ( SV273 @ SV345 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2003]) ).
thf(2028,plain,
! [SV345: sum_sum_c_c,SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV72: set_Sum_sum_c_c] :
( ( ( ~ ! [SY729: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY729 @ SV72 )
| ~ ( SV273 @ SY729 ) ) )
= $true )
| ( ( ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV345 @ SV72 )
= $false )
| ( ( SV273 @ SV345 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2004]) ).
thf(2029,plain,
! [SV346: sum_sum_c_c,SV273: sum_sum_c_c > $o,SV191: set_Sum_sum_c_c,SV72: set_Sum_sum_c_c] :
( ( ( ! [SY728: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY728 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
| ~ ( SV273 @ SY728 ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ SV346 @ SV191 )
= $false )
| ( ( SV273 @ SV346 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2005]) ).
thf(2030,plain,
! [SV346: sum_sum_c_c,SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV72: set_Sum_sum_c_c] :
( ( ( ~ ! [SY729: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY729 @ SV72 )
| ~ ( SV273 @ SY729 ) ) )
= $true )
| ( ( ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV346 @ SV191 )
= $false )
| ( ( SV273 @ SV346 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2006]) ).
thf(2031,plain,
! [SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV94: set_Sum_sum_c_c,SV357: sum_sum_c_c] :
( ( ( member_Sum_sum_c_c @ SV357 @ SV94 )
= $false )
| ( ( SV290 @ SV357 )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK28_SY740 @ SV290 @ SV211 @ SV94 ) @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2009]) ).
thf(2032,plain,
! [SV94: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c,SV358: sum_sum_c_c] :
( ( ( member_Sum_sum_c_c @ SV358 @ SV211 )
= $false )
| ( ( SV290 @ SV358 )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK28_SY740 @ SV290 @ SV211 @ SV94 ) @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2010]) ).
thf(2033,plain,
! [SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c,SV94: set_Sum_sum_c_c] :
( ( ( ~ ! [SY740: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY740 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
| ( SV290 @ SY740 ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) @ SV94 )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK45_SY742 @ SV94 @ SV290 @ SV211 ) @ SV211 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2013]) ).
thf(2034,plain,
! [SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV94: set_Sum_sum_c_c] :
( ( ( ~ ~ ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) )
| ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) @ SV94 )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK45_SY742 @ SV94 @ SV290 @ SV211 ) @ SV211 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2013]) ).
thf(2035,plain,
! [SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c,SV94: set_Sum_sum_c_c] :
( ( ( ! [SY740: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY740 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
| ( SV290 @ SY740 ) ) )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) @ SV94 )
= $true )
| ( ( SV290 @ ( sK45_SY742 @ SV94 @ SV290 @ SV211 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2014]) ).
thf(2036,plain,
! [SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV94: set_Sum_sum_c_c] :
( ( ( ~ ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) )
| ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) ) )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) @ SV94 )
= $true )
| ( ( SV290 @ ( sK45_SY742 @ SV94 @ SV290 @ SV211 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2015]) ).
thf(2037,plain,
! [SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c,SV94: set_Sum_sum_c_c] :
( ( ( ! [SY740: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY740 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
| ( SV290 @ SY740 ) ) )
= $true )
| ( ( SV290 @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) )
= $false )
| ( ( member_Sum_sum_c_c @ ( sK41_SY742 @ SV94 @ SV290 @ SV211 ) @ SV211 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2016]) ).
thf(2038,plain,
! [SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV94: set_Sum_sum_c_c] :
( ( ( ~ ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) )
| ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) ) )
= $true )
| ( ( SV290 @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) )
= $false )
| ( ( member_Sum_sum_c_c @ ( sK41_SY742 @ SV94 @ SV290 @ SV211 ) @ SV211 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2017]) ).
thf(2039,plain,
! [SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c,SV94: set_Sum_sum_c_c,SV359: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ SV359 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
| ( SV290 @ SV359 ) )
= $true )
| ( ( SV290 @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) )
= $false )
| ( ( SV290 @ ( sK41_SY742 @ SV94 @ SV290 @ SV211 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2018]) ).
thf(2040,plain,
! [SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV94: set_Sum_sum_c_c] :
( ( ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) )
| ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) )
= $false )
| ( ( SV290 @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) )
= $false )
| ( ( SV290 @ ( sK41_SY742 @ SV94 @ SV290 @ SV211 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2019]) ).
thf(2041,plain,
! [SV107: set_Sum_sum_c_c > set_Sum_sum_c_c > set_Sum_sum_c_c,SV223: set_Sum_sum_c_c,SV300: set_Sum_sum_c_c] :
( ( ( ord_le1772180283um_c_c @ ( sK47_SY774 @ SV300 @ SV223 @ SV107 ) @ ( sK42_SY557 @ SV300 @ SV223 @ SV107 ) )
= $true )
| ( ( ( sup_su1349021703um_c_c @ SV223 @ SV300 )
= ( SV107 @ SV223 @ SV300 ) )
= $true )
| ( ( ord_le1772180283um_c_c @ ( sK36_SY771 @ SV223 @ SV300 @ SV107 ) @ ( SV107 @ ( sK32_SY555 @ SV300 @ SV223 @ SV107 ) @ ( sK36_SY771 @ SV223 @ SV300 @ SV107 ) ) )
= $false )
| ( ( ord_le1772180283um_c_c @ ( sK23_SY553 @ SV300 @ SV223 @ SV107 ) @ ( SV107 @ ( sK23_SY553 @ SV300 @ SV223 @ SV107 ) @ ( sK26_SY769 @ SV107 @ SV223 @ SV300 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2021]) ).
thf(2042,plain,
! [SV72: set_Sum_sum_c_c,SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV344: sum_sum_c_c] :
( ( ( ~ ( ~ ( member_Sum_sum_c_c @ ( sK48_SY728 @ SV344 @ SV273 @ SV191 @ SV72 ) @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
| ~ ( SV273 @ ( sK48_SY728 @ SV344 @ SV273 @ SV191 @ SV72 ) ) ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV344 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
= $false )
| ( ( SV273 @ SV344 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2025]) ).
thf(2043,plain,
! [SV72: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV191: set_Sum_sum_c_c,SV344: sum_sum_c_c] :
( ( ( ~ ~ ( ~ ( member_Sum_sum_c_c @ ( sK49_SY729 @ SV344 @ SV191 @ SV273 @ SV72 ) @ SV72 )
| ~ ( SV273 @ ( sK49_SY729 @ SV344 @ SV191 @ SV273 @ SV72 ) ) ) )
= $false )
| ( ( ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV344 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
= $false )
| ( ( SV273 @ SV344 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2026]) ).
thf(2044,plain,
! [SV72: set_Sum_sum_c_c,SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV345: sum_sum_c_c] :
( ( ( ~ ~ ( ~ ( member_Sum_sum_c_c @ ( sK50_SY728 @ SV345 @ SV273 @ SV191 @ SV72 ) @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
| ~ ( SV273 @ ( sK50_SY728 @ SV345 @ SV273 @ SV191 @ SV72 ) ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ SV345 @ SV72 )
= $false )
| ( ( SV273 @ SV345 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2027]) ).
thf(2045,plain,
! [SV345: sum_sum_c_c,SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV72: set_Sum_sum_c_c] :
( ( ( ! [SY729: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY729 @ SV72 )
| ~ ( SV273 @ SY729 ) ) )
= $false )
| ( ( ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV345 @ SV72 )
= $false )
| ( ( SV273 @ SV345 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2028]) ).
thf(2046,plain,
! [SV72: set_Sum_sum_c_c,SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV346: sum_sum_c_c] :
( ( ( ~ ~ ( ~ ( member_Sum_sum_c_c @ ( sK51_SY728 @ SV346 @ SV273 @ SV191 @ SV72 ) @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
| ~ ( SV273 @ ( sK51_SY728 @ SV346 @ SV273 @ SV191 @ SV72 ) ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ SV346 @ SV191 )
= $false )
| ( ( SV273 @ SV346 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2029]) ).
thf(2047,plain,
! [SV346: sum_sum_c_c,SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV72: set_Sum_sum_c_c] :
( ( ( ! [SY729: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY729 @ SV72 )
| ~ ( SV273 @ SY729 ) ) )
= $false )
| ( ( ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV346 @ SV191 )
= $false )
| ( ( SV273 @ SV346 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2030]) ).
thf(2048,plain,
! [SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c,SV94: set_Sum_sum_c_c] :
( ( ( ! [SY740: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY740 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
| ( SV290 @ SY740 ) ) )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) @ SV94 )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK45_SY742 @ SV94 @ SV290 @ SV211 ) @ SV211 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2033]) ).
thf(2049,plain,
! [SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV94: set_Sum_sum_c_c] :
( ( ( ~ ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) )
| ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) ) )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) @ SV94 )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK45_SY742 @ SV94 @ SV290 @ SV211 ) @ SV211 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2034]) ).
thf(2050,plain,
! [SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c,SV94: set_Sum_sum_c_c,SV360: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ SV360 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
| ( SV290 @ SV360 ) )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) @ SV94 )
= $true )
| ( ( SV290 @ ( sK45_SY742 @ SV94 @ SV290 @ SV211 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2035]) ).
thf(2051,plain,
! [SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV94: set_Sum_sum_c_c] :
( ( ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) )
| ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) @ SV94 )
= $true )
| ( ( SV290 @ ( sK45_SY742 @ SV94 @ SV290 @ SV211 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2036]) ).
thf(2052,plain,
! [SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c,SV94: set_Sum_sum_c_c,SV361: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ SV361 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
| ( SV290 @ SV361 ) )
= $true )
| ( ( SV290 @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) )
= $false )
| ( ( member_Sum_sum_c_c @ ( sK41_SY742 @ SV94 @ SV290 @ SV211 ) @ SV211 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2037]) ).
thf(2053,plain,
! [SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV94: set_Sum_sum_c_c] :
( ( ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) )
| ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) )
= $false )
| ( ( SV290 @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) )
= $false )
| ( ( member_Sum_sum_c_c @ ( sK41_SY742 @ SV94 @ SV290 @ SV211 ) @ SV211 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2038]) ).
thf(2054,plain,
! [SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c,SV94: set_Sum_sum_c_c,SV359: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ SV359 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) ) )
= $true )
| ( ( SV290 @ SV359 )
= $true )
| ( ( SV290 @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) )
= $false )
| ( ( SV290 @ ( sK41_SY742 @ SV94 @ SV290 @ SV211 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2039]) ).
thf(2055,plain,
! [SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV94: set_Sum_sum_c_c] :
( ( ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) ) )
= $false )
| ( ( SV290 @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) )
= $false )
| ( ( SV290 @ ( sK41_SY742 @ SV94 @ SV290 @ SV211 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2040]) ).
thf(2056,plain,
! [SV94: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c] :
( ( ( ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) )
= $false )
| ( ( SV290 @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) )
= $false )
| ( ( SV290 @ ( sK41_SY742 @ SV94 @ SV290 @ SV211 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2040]) ).
thf(2057,plain,
! [SV72: set_Sum_sum_c_c,SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV344: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ ( sK48_SY728 @ SV344 @ SV273 @ SV191 @ SV72 ) @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
| ~ ( SV273 @ ( sK48_SY728 @ SV344 @ SV273 @ SV191 @ SV72 ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ SV344 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
= $false )
| ( ( SV273 @ SV344 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2042]) ).
thf(2058,plain,
! [SV72: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV191: set_Sum_sum_c_c,SV344: sum_sum_c_c] :
( ( ( ~ ( ~ ( member_Sum_sum_c_c @ ( sK49_SY729 @ SV344 @ SV191 @ SV273 @ SV72 ) @ SV72 )
| ~ ( SV273 @ ( sK49_SY729 @ SV344 @ SV191 @ SV273 @ SV72 ) ) ) )
= $true )
| ( ( ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV344 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
= $false )
| ( ( SV273 @ SV344 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2043]) ).
thf(2059,plain,
! [SV72: set_Sum_sum_c_c,SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV345: sum_sum_c_c] :
( ( ( ~ ( ~ ( member_Sum_sum_c_c @ ( sK50_SY728 @ SV345 @ SV273 @ SV191 @ SV72 ) @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
| ~ ( SV273 @ ( sK50_SY728 @ SV345 @ SV273 @ SV191 @ SV72 ) ) ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV345 @ SV72 )
= $false )
| ( ( SV273 @ SV345 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2044]) ).
thf(2060,plain,
! [SV72: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV191: set_Sum_sum_c_c,SV345: sum_sum_c_c] :
( ( ( ~ ~ ( ~ ( member_Sum_sum_c_c @ ( sK52_SY729 @ SV345 @ SV191 @ SV273 @ SV72 ) @ SV72 )
| ~ ( SV273 @ ( sK52_SY729 @ SV345 @ SV191 @ SV273 @ SV72 ) ) ) )
= $false )
| ( ( ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV345 @ SV72 )
= $false )
| ( ( SV273 @ SV345 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2045]) ).
thf(2061,plain,
! [SV72: set_Sum_sum_c_c,SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV346: sum_sum_c_c] :
( ( ( ~ ( ~ ( member_Sum_sum_c_c @ ( sK51_SY728 @ SV346 @ SV273 @ SV191 @ SV72 ) @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
| ~ ( SV273 @ ( sK51_SY728 @ SV346 @ SV273 @ SV191 @ SV72 ) ) ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV346 @ SV191 )
= $false )
| ( ( SV273 @ SV346 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2046]) ).
thf(2062,plain,
! [SV72: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV191: set_Sum_sum_c_c,SV346: sum_sum_c_c] :
( ( ( ~ ~ ( ~ ( member_Sum_sum_c_c @ ( sK53_SY729 @ SV346 @ SV191 @ SV273 @ SV72 ) @ SV72 )
| ~ ( SV273 @ ( sK53_SY729 @ SV346 @ SV191 @ SV273 @ SV72 ) ) ) )
= $false )
| ( ( ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV346 @ SV191 )
= $false )
| ( ( SV273 @ SV346 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2047]) ).
thf(2063,plain,
! [SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c,SV94: set_Sum_sum_c_c,SV362: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ SV362 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
| ( SV290 @ SV362 ) )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) @ SV94 )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK45_SY742 @ SV94 @ SV290 @ SV211 ) @ SV211 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2048]) ).
thf(2064,plain,
! [SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV94: set_Sum_sum_c_c] :
( ( ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) )
| ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) @ SV94 )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK45_SY742 @ SV94 @ SV290 @ SV211 ) @ SV211 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2049]) ).
thf(2065,plain,
! [SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c,SV94: set_Sum_sum_c_c,SV360: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ SV360 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) ) )
= $true )
| ( ( SV290 @ SV360 )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) @ SV94 )
= $true )
| ( ( SV290 @ ( sK45_SY742 @ SV94 @ SV290 @ SV211 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2050]) ).
thf(2066,plain,
! [SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV94: set_Sum_sum_c_c] :
( ( ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) @ SV94 )
= $true )
| ( ( SV290 @ ( sK45_SY742 @ SV94 @ SV290 @ SV211 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2051]) ).
thf(2067,plain,
! [SV94: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c] :
( ( ( ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) @ SV94 )
= $true )
| ( ( SV290 @ ( sK45_SY742 @ SV94 @ SV290 @ SV211 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2051]) ).
thf(2068,plain,
! [SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c,SV94: set_Sum_sum_c_c,SV361: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ SV361 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) ) )
= $true )
| ( ( SV290 @ SV361 )
= $true )
| ( ( SV290 @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) )
= $false )
| ( ( member_Sum_sum_c_c @ ( sK41_SY742 @ SV94 @ SV290 @ SV211 ) @ SV211 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2052]) ).
thf(2069,plain,
! [SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV94: set_Sum_sum_c_c] :
( ( ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) ) )
= $false )
| ( ( SV290 @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) )
= $false )
| ( ( member_Sum_sum_c_c @ ( sK41_SY742 @ SV94 @ SV290 @ SV211 ) @ SV211 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2053]) ).
thf(2070,plain,
! [SV94: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c] :
( ( ( ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) )
= $false )
| ( ( SV290 @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) )
= $false )
| ( ( member_Sum_sum_c_c @ ( sK41_SY742 @ SV94 @ SV290 @ SV211 ) @ SV211 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2053]) ).
thf(2071,plain,
! [SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c,SV94: set_Sum_sum_c_c,SV359: sum_sum_c_c] :
( ( ( member_Sum_sum_c_c @ SV359 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
= $false )
| ( ( SV290 @ SV359 )
= $true )
| ( ( SV290 @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) )
= $false )
| ( ( SV290 @ ( sK41_SY742 @ SV94 @ SV290 @ SV211 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2054]) ).
thf(2072,plain,
! [SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV94: set_Sum_sum_c_c] :
( ( ( ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) ) )
= $true )
| ( ( SV290 @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) )
= $false )
| ( ( SV290 @ ( sK41_SY742 @ SV94 @ SV290 @ SV211 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2055]) ).
thf(2073,plain,
! [SV94: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c] :
( ( ( ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) )
= $true )
| ( ( SV290 @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) )
= $false )
| ( ( SV290 @ ( sK41_SY742 @ SV94 @ SV290 @ SV211 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2056]) ).
thf(2074,plain,
! [SV72: set_Sum_sum_c_c,SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV344: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ ( sK48_SY728 @ SV344 @ SV273 @ SV191 @ SV72 ) @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ SV344 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
= $false )
| ( ( SV273 @ SV344 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2057]) ).
thf(2075,plain,
! [SV72: set_Sum_sum_c_c,SV191: set_Sum_sum_c_c,SV344: sum_sum_c_c,SV273: sum_sum_c_c > $o] :
( ( ( ~ ( SV273 @ ( sK48_SY728 @ SV344 @ SV273 @ SV191 @ SV72 ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ SV344 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
= $false )
| ( ( SV273 @ SV344 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2057]) ).
thf(2076,plain,
! [SV72: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV191: set_Sum_sum_c_c,SV344: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ ( sK49_SY729 @ SV344 @ SV191 @ SV273 @ SV72 ) @ SV72 )
| ~ ( SV273 @ ( sK49_SY729 @ SV344 @ SV191 @ SV273 @ SV72 ) ) )
= $false )
| ( ( ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV344 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
= $false )
| ( ( SV273 @ SV344 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2058]) ).
thf(2077,plain,
! [SV72: set_Sum_sum_c_c,SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV345: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ ( sK50_SY728 @ SV345 @ SV273 @ SV191 @ SV72 ) @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
| ~ ( SV273 @ ( sK50_SY728 @ SV345 @ SV273 @ SV191 @ SV72 ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ SV345 @ SV72 )
= $false )
| ( ( SV273 @ SV345 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2059]) ).
thf(2078,plain,
! [SV72: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV191: set_Sum_sum_c_c,SV345: sum_sum_c_c] :
( ( ( ~ ( ~ ( member_Sum_sum_c_c @ ( sK52_SY729 @ SV345 @ SV191 @ SV273 @ SV72 ) @ SV72 )
| ~ ( SV273 @ ( sK52_SY729 @ SV345 @ SV191 @ SV273 @ SV72 ) ) ) )
= $true )
| ( ( ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV345 @ SV72 )
= $false )
| ( ( SV273 @ SV345 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2060]) ).
thf(2079,plain,
! [SV72: set_Sum_sum_c_c,SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV346: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ ( sK51_SY728 @ SV346 @ SV273 @ SV191 @ SV72 ) @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
| ~ ( SV273 @ ( sK51_SY728 @ SV346 @ SV273 @ SV191 @ SV72 ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ SV346 @ SV191 )
= $false )
| ( ( SV273 @ SV346 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2061]) ).
thf(2080,plain,
! [SV72: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV191: set_Sum_sum_c_c,SV346: sum_sum_c_c] :
( ( ( ~ ( ~ ( member_Sum_sum_c_c @ ( sK53_SY729 @ SV346 @ SV191 @ SV273 @ SV72 ) @ SV72 )
| ~ ( SV273 @ ( sK53_SY729 @ SV346 @ SV191 @ SV273 @ SV72 ) ) ) )
= $true )
| ( ( ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV346 @ SV191 )
= $false )
| ( ( SV273 @ SV346 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2062]) ).
thf(2081,plain,
! [SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c,SV94: set_Sum_sum_c_c,SV362: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ SV362 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) ) )
= $true )
| ( ( SV290 @ SV362 )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) @ SV94 )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK45_SY742 @ SV94 @ SV290 @ SV211 ) @ SV211 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2063]) ).
thf(2082,plain,
! [SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV94: set_Sum_sum_c_c] :
( ( ( ~ ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) @ SV94 )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK45_SY742 @ SV94 @ SV290 @ SV211 ) @ SV211 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2064]) ).
thf(2083,plain,
! [SV94: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c] :
( ( ( ~ ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) @ SV94 )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK45_SY742 @ SV94 @ SV290 @ SV211 ) @ SV211 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2064]) ).
thf(2084,plain,
! [SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c,SV94: set_Sum_sum_c_c,SV360: sum_sum_c_c] :
( ( ( member_Sum_sum_c_c @ SV360 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
= $false )
| ( ( SV290 @ SV360 )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) @ SV94 )
= $true )
| ( ( SV290 @ ( sK45_SY742 @ SV94 @ SV290 @ SV211 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2065]) ).
thf(2085,plain,
! [SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV94: set_Sum_sum_c_c] :
( ( ( ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) ) )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) @ SV94 )
= $true )
| ( ( SV290 @ ( sK45_SY742 @ SV94 @ SV290 @ SV211 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2066]) ).
thf(2086,plain,
! [SV94: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c] :
( ( ( ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) @ SV94 )
= $true )
| ( ( SV290 @ ( sK45_SY742 @ SV94 @ SV290 @ SV211 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2067]) ).
thf(2087,plain,
! [SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c,SV94: set_Sum_sum_c_c,SV361: sum_sum_c_c] :
( ( ( member_Sum_sum_c_c @ SV361 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
= $false )
| ( ( SV290 @ SV361 )
= $true )
| ( ( SV290 @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) )
= $false )
| ( ( member_Sum_sum_c_c @ ( sK41_SY742 @ SV94 @ SV290 @ SV211 ) @ SV211 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2068]) ).
thf(2088,plain,
! [SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV94: set_Sum_sum_c_c] :
( ( ( ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) ) )
= $true )
| ( ( SV290 @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) )
= $false )
| ( ( member_Sum_sum_c_c @ ( sK41_SY742 @ SV94 @ SV290 @ SV211 ) @ SV211 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2069]) ).
thf(2089,plain,
! [SV94: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c] :
( ( ( ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) )
= $true )
| ( ( SV290 @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) )
= $false )
| ( ( member_Sum_sum_c_c @ ( sK41_SY742 @ SV94 @ SV290 @ SV211 ) @ SV211 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2070]) ).
thf(2090,plain,
! [SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV94: set_Sum_sum_c_c,SV363: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ SV363 @ SV94 )
| ( SV290 @ SV363 ) )
= $true )
| ( ( SV290 @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) )
= $false )
| ( ( SV290 @ ( sK41_SY742 @ SV94 @ SV290 @ SV211 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2072]) ).
thf(2091,plain,
! [SV94: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c,SV364: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ SV364 @ SV211 )
| ( SV290 @ SV364 ) )
= $true )
| ( ( SV290 @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) )
= $false )
| ( ( SV290 @ ( sK41_SY742 @ SV94 @ SV290 @ SV211 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2073]) ).
thf(2092,plain,
! [SV72: set_Sum_sum_c_c,SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV344: sum_sum_c_c] :
( ( ( member_Sum_sum_c_c @ ( sK48_SY728 @ SV344 @ SV273 @ SV191 @ SV72 ) @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV344 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
= $false )
| ( ( SV273 @ SV344 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2074]) ).
thf(2093,plain,
! [SV72: set_Sum_sum_c_c,SV191: set_Sum_sum_c_c,SV344: sum_sum_c_c,SV273: sum_sum_c_c > $o] :
( ( ( SV273 @ ( sK48_SY728 @ SV344 @ SV273 @ SV191 @ SV72 ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV344 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
= $false )
| ( ( SV273 @ SV344 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2075]) ).
thf(2094,plain,
! [SV72: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV191: set_Sum_sum_c_c,SV344: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ ( sK49_SY729 @ SV344 @ SV191 @ SV273 @ SV72 ) @ SV72 ) )
= $false )
| ( ( ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV344 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
= $false )
| ( ( SV273 @ SV344 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2076]) ).
thf(2095,plain,
! [SV72: set_Sum_sum_c_c,SV191: set_Sum_sum_c_c,SV344: sum_sum_c_c,SV273: sum_sum_c_c > $o] :
( ( ( ~ ( SV273 @ ( sK49_SY729 @ SV344 @ SV191 @ SV273 @ SV72 ) ) )
= $false )
| ( ( ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV344 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
= $false )
| ( ( SV273 @ SV344 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2076]) ).
thf(2096,plain,
! [SV72: set_Sum_sum_c_c,SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV345: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ ( sK50_SY728 @ SV345 @ SV273 @ SV191 @ SV72 ) @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ SV345 @ SV72 )
= $false )
| ( ( SV273 @ SV345 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2077]) ).
thf(2097,plain,
! [SV72: set_Sum_sum_c_c,SV191: set_Sum_sum_c_c,SV345: sum_sum_c_c,SV273: sum_sum_c_c > $o] :
( ( ( ~ ( SV273 @ ( sK50_SY728 @ SV345 @ SV273 @ SV191 @ SV72 ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ SV345 @ SV72 )
= $false )
| ( ( SV273 @ SV345 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2077]) ).
thf(2098,plain,
! [SV72: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV191: set_Sum_sum_c_c,SV345: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ ( sK52_SY729 @ SV345 @ SV191 @ SV273 @ SV72 ) @ SV72 )
| ~ ( SV273 @ ( sK52_SY729 @ SV345 @ SV191 @ SV273 @ SV72 ) ) )
= $false )
| ( ( ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV345 @ SV72 )
= $false )
| ( ( SV273 @ SV345 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2078]) ).
thf(2099,plain,
! [SV72: set_Sum_sum_c_c,SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV346: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ ( sK51_SY728 @ SV346 @ SV273 @ SV191 @ SV72 ) @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ SV346 @ SV191 )
= $false )
| ( ( SV273 @ SV346 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2079]) ).
thf(2100,plain,
! [SV72: set_Sum_sum_c_c,SV191: set_Sum_sum_c_c,SV346: sum_sum_c_c,SV273: sum_sum_c_c > $o] :
( ( ( ~ ( SV273 @ ( sK51_SY728 @ SV346 @ SV273 @ SV191 @ SV72 ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ SV346 @ SV191 )
= $false )
| ( ( SV273 @ SV346 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2079]) ).
thf(2101,plain,
! [SV72: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV191: set_Sum_sum_c_c,SV346: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ ( sK53_SY729 @ SV346 @ SV191 @ SV273 @ SV72 ) @ SV72 )
| ~ ( SV273 @ ( sK53_SY729 @ SV346 @ SV191 @ SV273 @ SV72 ) ) )
= $false )
| ( ( ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV346 @ SV191 )
= $false )
| ( ( SV273 @ SV346 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2080]) ).
thf(2102,plain,
! [SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c,SV94: set_Sum_sum_c_c,SV362: sum_sum_c_c] :
( ( ( member_Sum_sum_c_c @ SV362 @ ( sup_su1349021703um_c_c @ SV94 @ SV211 ) )
= $false )
| ( ( SV290 @ SV362 )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) @ SV94 )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK45_SY742 @ SV94 @ SV290 @ SV211 ) @ SV211 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2081]) ).
thf(2103,plain,
! [SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV94: set_Sum_sum_c_c] :
( ( ( ! [SY741: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY741 @ SV94 )
| ( SV290 @ SY741 ) ) )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) @ SV94 )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK45_SY742 @ SV94 @ SV290 @ SV211 ) @ SV211 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2082]) ).
thf(2104,plain,
! [SV94: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c] :
( ( ( ! [SY742: sum_sum_c_c] :
( ~ ( member_Sum_sum_c_c @ SY742 @ SV211 )
| ( SV290 @ SY742 ) ) )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) @ SV94 )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK45_SY742 @ SV94 @ SV290 @ SV211 ) @ SV211 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2083]) ).
thf(2105,plain,
! [SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV94: set_Sum_sum_c_c,SV365: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ SV365 @ SV94 )
| ( SV290 @ SV365 ) )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) @ SV94 )
= $true )
| ( ( SV290 @ ( sK45_SY742 @ SV94 @ SV290 @ SV211 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2085]) ).
thf(2106,plain,
! [SV94: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c,SV366: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ SV366 @ SV211 )
| ( SV290 @ SV366 ) )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) @ SV94 )
= $true )
| ( ( SV290 @ ( sK45_SY742 @ SV94 @ SV290 @ SV211 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2086]) ).
thf(2107,plain,
! [SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV94: set_Sum_sum_c_c,SV367: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ SV367 @ SV94 )
| ( SV290 @ SV367 ) )
= $true )
| ( ( SV290 @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) )
= $false )
| ( ( member_Sum_sum_c_c @ ( sK41_SY742 @ SV94 @ SV290 @ SV211 ) @ SV211 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2088]) ).
thf(2108,plain,
! [SV94: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c,SV368: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ SV368 @ SV211 )
| ( SV290 @ SV368 ) )
= $true )
| ( ( SV290 @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) )
= $false )
| ( ( member_Sum_sum_c_c @ ( sK41_SY742 @ SV94 @ SV290 @ SV211 ) @ SV211 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2089]) ).
thf(2109,plain,
! [SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV94: set_Sum_sum_c_c,SV363: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ SV363 @ SV94 ) )
= $true )
| ( ( SV290 @ SV363 )
= $true )
| ( ( SV290 @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) )
= $false )
| ( ( SV290 @ ( sK41_SY742 @ SV94 @ SV290 @ SV211 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2090]) ).
thf(2110,plain,
! [SV94: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c,SV364: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ SV364 @ SV211 ) )
= $true )
| ( ( SV290 @ SV364 )
= $true )
| ( ( SV290 @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) )
= $false )
| ( ( SV290 @ ( sK41_SY742 @ SV94 @ SV290 @ SV211 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2091]) ).
thf(2111,plain,
! [SV72: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV191: set_Sum_sum_c_c,SV344: sum_sum_c_c] :
( ( ( member_Sum_sum_c_c @ ( sK49_SY729 @ SV344 @ SV191 @ SV273 @ SV72 ) @ SV72 )
= $true )
| ( ( ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV344 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
= $false )
| ( ( SV273 @ SV344 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2094]) ).
thf(2112,plain,
! [SV72: set_Sum_sum_c_c,SV191: set_Sum_sum_c_c,SV344: sum_sum_c_c,SV273: sum_sum_c_c > $o] :
( ( ( SV273 @ ( sK49_SY729 @ SV344 @ SV191 @ SV273 @ SV72 ) )
= $true )
| ( ( ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV344 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
= $false )
| ( ( SV273 @ SV344 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2095]) ).
thf(2113,plain,
! [SV72: set_Sum_sum_c_c,SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV345: sum_sum_c_c] :
( ( ( member_Sum_sum_c_c @ ( sK50_SY728 @ SV345 @ SV273 @ SV191 @ SV72 ) @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV345 @ SV72 )
= $false )
| ( ( SV273 @ SV345 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2096]) ).
thf(2114,plain,
! [SV72: set_Sum_sum_c_c,SV191: set_Sum_sum_c_c,SV345: sum_sum_c_c,SV273: sum_sum_c_c > $o] :
( ( ( SV273 @ ( sK50_SY728 @ SV345 @ SV273 @ SV191 @ SV72 ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV345 @ SV72 )
= $false )
| ( ( SV273 @ SV345 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2097]) ).
thf(2115,plain,
! [SV72: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV191: set_Sum_sum_c_c,SV345: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ ( sK52_SY729 @ SV345 @ SV191 @ SV273 @ SV72 ) @ SV72 ) )
= $false )
| ( ( ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV345 @ SV72 )
= $false )
| ( ( SV273 @ SV345 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2098]) ).
thf(2116,plain,
! [SV72: set_Sum_sum_c_c,SV191: set_Sum_sum_c_c,SV345: sum_sum_c_c,SV273: sum_sum_c_c > $o] :
( ( ( ~ ( SV273 @ ( sK52_SY729 @ SV345 @ SV191 @ SV273 @ SV72 ) ) )
= $false )
| ( ( ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV345 @ SV72 )
= $false )
| ( ( SV273 @ SV345 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2098]) ).
thf(2117,plain,
! [SV72: set_Sum_sum_c_c,SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV346: sum_sum_c_c] :
( ( ( member_Sum_sum_c_c @ ( sK51_SY728 @ SV346 @ SV273 @ SV191 @ SV72 ) @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV346 @ SV191 )
= $false )
| ( ( SV273 @ SV346 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2099]) ).
thf(2118,plain,
! [SV72: set_Sum_sum_c_c,SV191: set_Sum_sum_c_c,SV346: sum_sum_c_c,SV273: sum_sum_c_c > $o] :
( ( ( SV273 @ ( sK51_SY728 @ SV346 @ SV273 @ SV191 @ SV72 ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV346 @ SV191 )
= $false )
| ( ( SV273 @ SV346 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2100]) ).
thf(2119,plain,
! [SV72: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV191: set_Sum_sum_c_c,SV346: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ ( sK53_SY729 @ SV346 @ SV191 @ SV273 @ SV72 ) @ SV72 ) )
= $false )
| ( ( ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV346 @ SV191 )
= $false )
| ( ( SV273 @ SV346 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2101]) ).
thf(2120,plain,
! [SV72: set_Sum_sum_c_c,SV191: set_Sum_sum_c_c,SV346: sum_sum_c_c,SV273: sum_sum_c_c > $o] :
( ( ( ~ ( SV273 @ ( sK53_SY729 @ SV346 @ SV191 @ SV273 @ SV72 ) ) )
= $false )
| ( ( ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV346 @ SV191 )
= $false )
| ( ( SV273 @ SV346 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2101]) ).
thf(2121,plain,
! [SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV94: set_Sum_sum_c_c,SV369: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ SV369 @ SV94 )
| ( SV290 @ SV369 ) )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) @ SV94 )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK45_SY742 @ SV94 @ SV290 @ SV211 ) @ SV211 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2103]) ).
thf(2122,plain,
! [SV94: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c,SV370: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ SV370 @ SV211 )
| ( SV290 @ SV370 ) )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) @ SV94 )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK45_SY742 @ SV94 @ SV290 @ SV211 ) @ SV211 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2104]) ).
thf(2123,plain,
! [SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV94: set_Sum_sum_c_c,SV365: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ SV365 @ SV94 ) )
= $true )
| ( ( SV290 @ SV365 )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) @ SV94 )
= $true )
| ( ( SV290 @ ( sK45_SY742 @ SV94 @ SV290 @ SV211 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2105]) ).
thf(2124,plain,
! [SV94: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c,SV366: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ SV366 @ SV211 ) )
= $true )
| ( ( SV290 @ SV366 )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) @ SV94 )
= $true )
| ( ( SV290 @ ( sK45_SY742 @ SV94 @ SV290 @ SV211 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2106]) ).
thf(2125,plain,
! [SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV94: set_Sum_sum_c_c,SV367: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ SV367 @ SV94 ) )
= $true )
| ( ( SV290 @ SV367 )
= $true )
| ( ( SV290 @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) )
= $false )
| ( ( member_Sum_sum_c_c @ ( sK41_SY742 @ SV94 @ SV290 @ SV211 ) @ SV211 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2107]) ).
thf(2126,plain,
! [SV94: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c,SV368: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ SV368 @ SV211 ) )
= $true )
| ( ( SV290 @ SV368 )
= $true )
| ( ( SV290 @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) )
= $false )
| ( ( member_Sum_sum_c_c @ ( sK41_SY742 @ SV94 @ SV290 @ SV211 ) @ SV211 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2108]) ).
thf(2127,plain,
! [SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV94: set_Sum_sum_c_c,SV363: sum_sum_c_c] :
( ( ( member_Sum_sum_c_c @ SV363 @ SV94 )
= $false )
| ( ( SV290 @ SV363 )
= $true )
| ( ( SV290 @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) )
= $false )
| ( ( SV290 @ ( sK41_SY742 @ SV94 @ SV290 @ SV211 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2109]) ).
thf(2128,plain,
! [SV94: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c,SV364: sum_sum_c_c] :
( ( ( member_Sum_sum_c_c @ SV364 @ SV211 )
= $false )
| ( ( SV290 @ SV364 )
= $true )
| ( ( SV290 @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) )
= $false )
| ( ( SV290 @ ( sK41_SY742 @ SV94 @ SV290 @ SV211 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2110]) ).
thf(2129,plain,
! [SV72: set_Sum_sum_c_c,SV344: sum_sum_c_c,SV273: sum_sum_c_c > $o,SV191: set_Sum_sum_c_c] :
( ( ( ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ ( sK49_SY729 @ SV344 @ SV191 @ SV273 @ SV72 ) @ SV72 )
= $true )
| ( ( member_Sum_sum_c_c @ SV344 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
= $false )
| ( ( SV273 @ SV344 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2111]) ).
thf(2130,plain,
! [SV72: set_Sum_sum_c_c,SV344: sum_sum_c_c,SV273: sum_sum_c_c > $o,SV191: set_Sum_sum_c_c] :
( ( ( ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) )
= $false )
| ( ( SV273 @ ( sK49_SY729 @ SV344 @ SV191 @ SV273 @ SV72 ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV344 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
= $false )
| ( ( SV273 @ SV344 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2112]) ).
thf(2131,plain,
! [SV72: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV191: set_Sum_sum_c_c,SV345: sum_sum_c_c] :
( ( ( member_Sum_sum_c_c @ ( sK52_SY729 @ SV345 @ SV191 @ SV273 @ SV72 ) @ SV72 )
= $true )
| ( ( ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV345 @ SV72 )
= $false )
| ( ( SV273 @ SV345 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2115]) ).
thf(2132,plain,
! [SV72: set_Sum_sum_c_c,SV191: set_Sum_sum_c_c,SV345: sum_sum_c_c,SV273: sum_sum_c_c > $o] :
( ( ( SV273 @ ( sK52_SY729 @ SV345 @ SV191 @ SV273 @ SV72 ) )
= $true )
| ( ( ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV345 @ SV72 )
= $false )
| ( ( SV273 @ SV345 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2116]) ).
thf(2133,plain,
! [SV72: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV191: set_Sum_sum_c_c,SV346: sum_sum_c_c] :
( ( ( member_Sum_sum_c_c @ ( sK53_SY729 @ SV346 @ SV191 @ SV273 @ SV72 ) @ SV72 )
= $true )
| ( ( ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV346 @ SV191 )
= $false )
| ( ( SV273 @ SV346 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2119]) ).
thf(2134,plain,
! [SV72: set_Sum_sum_c_c,SV191: set_Sum_sum_c_c,SV346: sum_sum_c_c,SV273: sum_sum_c_c > $o] :
( ( ( SV273 @ ( sK53_SY729 @ SV346 @ SV191 @ SV273 @ SV72 ) )
= $true )
| ( ( ~ ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV346 @ SV191 )
= $false )
| ( ( SV273 @ SV346 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2120]) ).
thf(2135,plain,
! [SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV94: set_Sum_sum_c_c,SV369: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ SV369 @ SV94 ) )
= $true )
| ( ( SV290 @ SV369 )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) @ SV94 )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK45_SY742 @ SV94 @ SV290 @ SV211 ) @ SV211 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2121]) ).
thf(2136,plain,
! [SV94: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c,SV370: sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ SV370 @ SV211 ) )
= $true )
| ( ( SV290 @ SV370 )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) @ SV94 )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK45_SY742 @ SV94 @ SV290 @ SV211 ) @ SV211 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2122]) ).
thf(2137,plain,
! [SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV94: set_Sum_sum_c_c,SV365: sum_sum_c_c] :
( ( ( member_Sum_sum_c_c @ SV365 @ SV94 )
= $false )
| ( ( SV290 @ SV365 )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) @ SV94 )
= $true )
| ( ( SV290 @ ( sK45_SY742 @ SV94 @ SV290 @ SV211 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2123]) ).
thf(2138,plain,
! [SV94: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c,SV366: sum_sum_c_c] :
( ( ( member_Sum_sum_c_c @ SV366 @ SV211 )
= $false )
| ( ( SV290 @ SV366 )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) @ SV94 )
= $true )
| ( ( SV290 @ ( sK45_SY742 @ SV94 @ SV290 @ SV211 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2124]) ).
thf(2139,plain,
! [SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV94: set_Sum_sum_c_c,SV367: sum_sum_c_c] :
( ( ( member_Sum_sum_c_c @ SV367 @ SV94 )
= $false )
| ( ( SV290 @ SV367 )
= $true )
| ( ( SV290 @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) )
= $false )
| ( ( member_Sum_sum_c_c @ ( sK41_SY742 @ SV94 @ SV290 @ SV211 ) @ SV211 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2125]) ).
thf(2140,plain,
! [SV94: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c,SV368: sum_sum_c_c] :
( ( ( member_Sum_sum_c_c @ SV368 @ SV211 )
= $false )
| ( ( SV290 @ SV368 )
= $true )
| ( ( SV290 @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) )
= $false )
| ( ( member_Sum_sum_c_c @ ( sK41_SY742 @ SV94 @ SV290 @ SV211 ) @ SV211 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2126]) ).
thf(2141,plain,
! [SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV344: sum_sum_c_c,SV72: set_Sum_sum_c_c] :
( ( ( ~ ~ ( ~ ( member_Sum_sum_c_c @ ( sK54_SY730 @ SV72 @ SV344 @ SV273 @ SV191 ) @ SV191 )
| ~ ( SV273 @ ( sK54_SY730 @ SV72 @ SV344 @ SV273 @ SV191 ) ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ ( sK49_SY729 @ SV344 @ SV191 @ SV273 @ SV72 ) @ SV72 )
= $true )
| ( ( member_Sum_sum_c_c @ SV344 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
= $false )
| ( ( SV273 @ SV344 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2129]) ).
thf(2142,plain,
! [SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV344: sum_sum_c_c,SV72: set_Sum_sum_c_c] :
( ( ( ~ ~ ( ~ ( member_Sum_sum_c_c @ ( sK55_SY730 @ SV72 @ SV344 @ SV273 @ SV191 ) @ SV191 )
| ~ ( SV273 @ ( sK55_SY730 @ SV72 @ SV344 @ SV273 @ SV191 ) ) ) )
= $false )
| ( ( SV273 @ ( sK49_SY729 @ SV344 @ SV191 @ SV273 @ SV72 ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV344 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
= $false )
| ( ( SV273 @ SV344 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2130]) ).
thf(2143,plain,
! [SV72: set_Sum_sum_c_c,SV345: sum_sum_c_c,SV273: sum_sum_c_c > $o,SV191: set_Sum_sum_c_c] :
( ( ( ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ ( sK52_SY729 @ SV345 @ SV191 @ SV273 @ SV72 ) @ SV72 )
= $true )
| ( ( member_Sum_sum_c_c @ SV345 @ SV72 )
= $false )
| ( ( SV273 @ SV345 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2131]) ).
thf(2144,plain,
! [SV72: set_Sum_sum_c_c,SV345: sum_sum_c_c,SV273: sum_sum_c_c > $o,SV191: set_Sum_sum_c_c] :
( ( ( ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) )
= $false )
| ( ( SV273 @ ( sK52_SY729 @ SV345 @ SV191 @ SV273 @ SV72 ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV345 @ SV72 )
= $false )
| ( ( SV273 @ SV345 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2132]) ).
thf(2145,plain,
! [SV72: set_Sum_sum_c_c,SV346: sum_sum_c_c,SV273: sum_sum_c_c > $o,SV191: set_Sum_sum_c_c] :
( ( ( ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ ( sK53_SY729 @ SV346 @ SV191 @ SV273 @ SV72 ) @ SV72 )
= $true )
| ( ( member_Sum_sum_c_c @ SV346 @ SV191 )
= $false )
| ( ( SV273 @ SV346 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2133]) ).
thf(2146,plain,
! [SV72: set_Sum_sum_c_c,SV346: sum_sum_c_c,SV273: sum_sum_c_c > $o,SV191: set_Sum_sum_c_c] :
( ( ( ! [SY730: sum_sum_c_c] :
~ ~ ( ~ ( member_Sum_sum_c_c @ SY730 @ SV191 )
| ~ ( SV273 @ SY730 ) ) )
= $false )
| ( ( SV273 @ ( sK53_SY729 @ SV346 @ SV191 @ SV273 @ SV72 ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV346 @ SV191 )
= $false )
| ( ( SV273 @ SV346 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2134]) ).
thf(2147,plain,
! [SV211: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV94: set_Sum_sum_c_c,SV369: sum_sum_c_c] :
( ( ( member_Sum_sum_c_c @ SV369 @ SV94 )
= $false )
| ( ( SV290 @ SV369 )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) @ SV94 )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK45_SY742 @ SV94 @ SV290 @ SV211 ) @ SV211 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2135]) ).
thf(2148,plain,
! [SV94: set_Sum_sum_c_c,SV290: sum_sum_c_c > $o,SV211: set_Sum_sum_c_c,SV370: sum_sum_c_c] :
( ( ( member_Sum_sum_c_c @ SV370 @ SV211 )
= $false )
| ( ( SV290 @ SV370 )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK35_SY741 @ SV211 @ SV290 @ SV94 ) @ SV94 )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK45_SY742 @ SV94 @ SV290 @ SV211 ) @ SV211 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2136]) ).
thf(2149,plain,
! [SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV344: sum_sum_c_c,SV72: set_Sum_sum_c_c] :
( ( ( ~ ( ~ ( member_Sum_sum_c_c @ ( sK54_SY730 @ SV72 @ SV344 @ SV273 @ SV191 ) @ SV191 )
| ~ ( SV273 @ ( sK54_SY730 @ SV72 @ SV344 @ SV273 @ SV191 ) ) ) )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK49_SY729 @ SV344 @ SV191 @ SV273 @ SV72 ) @ SV72 )
= $true )
| ( ( member_Sum_sum_c_c @ SV344 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
= $false )
| ( ( SV273 @ SV344 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2141]) ).
thf(2150,plain,
! [SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV344: sum_sum_c_c,SV72: set_Sum_sum_c_c] :
( ( ( ~ ( ~ ( member_Sum_sum_c_c @ ( sK55_SY730 @ SV72 @ SV344 @ SV273 @ SV191 ) @ SV191 )
| ~ ( SV273 @ ( sK55_SY730 @ SV72 @ SV344 @ SV273 @ SV191 ) ) ) )
= $true )
| ( ( SV273 @ ( sK49_SY729 @ SV344 @ SV191 @ SV273 @ SV72 ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV344 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
= $false )
| ( ( SV273 @ SV344 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2142]) ).
thf(2151,plain,
! [SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV345: sum_sum_c_c,SV72: set_Sum_sum_c_c] :
( ( ( ~ ~ ( ~ ( member_Sum_sum_c_c @ ( sK56_SY730 @ SV72 @ SV345 @ SV273 @ SV191 ) @ SV191 )
| ~ ( SV273 @ ( sK56_SY730 @ SV72 @ SV345 @ SV273 @ SV191 ) ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ ( sK52_SY729 @ SV345 @ SV191 @ SV273 @ SV72 ) @ SV72 )
= $true )
| ( ( member_Sum_sum_c_c @ SV345 @ SV72 )
= $false )
| ( ( SV273 @ SV345 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2143]) ).
thf(2152,plain,
! [SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV345: sum_sum_c_c,SV72: set_Sum_sum_c_c] :
( ( ( ~ ~ ( ~ ( member_Sum_sum_c_c @ ( sK57_SY730 @ SV72 @ SV345 @ SV273 @ SV191 ) @ SV191 )
| ~ ( SV273 @ ( sK57_SY730 @ SV72 @ SV345 @ SV273 @ SV191 ) ) ) )
= $false )
| ( ( SV273 @ ( sK52_SY729 @ SV345 @ SV191 @ SV273 @ SV72 ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV345 @ SV72 )
= $false )
| ( ( SV273 @ SV345 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2144]) ).
thf(2153,plain,
! [SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV346: sum_sum_c_c,SV72: set_Sum_sum_c_c] :
( ( ( ~ ~ ( ~ ( member_Sum_sum_c_c @ ( sK58_SY730 @ SV72 @ SV346 @ SV273 @ SV191 ) @ SV191 )
| ~ ( SV273 @ ( sK58_SY730 @ SV72 @ SV346 @ SV273 @ SV191 ) ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ ( sK53_SY729 @ SV346 @ SV191 @ SV273 @ SV72 ) @ SV72 )
= $true )
| ( ( member_Sum_sum_c_c @ SV346 @ SV191 )
= $false )
| ( ( SV273 @ SV346 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2145]) ).
thf(2154,plain,
! [SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV346: sum_sum_c_c,SV72: set_Sum_sum_c_c] :
( ( ( ~ ~ ( ~ ( member_Sum_sum_c_c @ ( sK59_SY730 @ SV72 @ SV346 @ SV273 @ SV191 ) @ SV191 )
| ~ ( SV273 @ ( sK59_SY730 @ SV72 @ SV346 @ SV273 @ SV191 ) ) ) )
= $false )
| ( ( SV273 @ ( sK53_SY729 @ SV346 @ SV191 @ SV273 @ SV72 ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV346 @ SV191 )
= $false )
| ( ( SV273 @ SV346 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2146]) ).
thf(2155,plain,
! [SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV344: sum_sum_c_c,SV72: set_Sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ ( sK54_SY730 @ SV72 @ SV344 @ SV273 @ SV191 ) @ SV191 )
| ~ ( SV273 @ ( sK54_SY730 @ SV72 @ SV344 @ SV273 @ SV191 ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ ( sK49_SY729 @ SV344 @ SV191 @ SV273 @ SV72 ) @ SV72 )
= $true )
| ( ( member_Sum_sum_c_c @ SV344 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
= $false )
| ( ( SV273 @ SV344 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2149]) ).
thf(2156,plain,
! [SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV344: sum_sum_c_c,SV72: set_Sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ ( sK55_SY730 @ SV72 @ SV344 @ SV273 @ SV191 ) @ SV191 )
| ~ ( SV273 @ ( sK55_SY730 @ SV72 @ SV344 @ SV273 @ SV191 ) ) )
= $false )
| ( ( SV273 @ ( sK49_SY729 @ SV344 @ SV191 @ SV273 @ SV72 ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV344 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
= $false )
| ( ( SV273 @ SV344 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2150]) ).
thf(2157,plain,
! [SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV345: sum_sum_c_c,SV72: set_Sum_sum_c_c] :
( ( ( ~ ( ~ ( member_Sum_sum_c_c @ ( sK56_SY730 @ SV72 @ SV345 @ SV273 @ SV191 ) @ SV191 )
| ~ ( SV273 @ ( sK56_SY730 @ SV72 @ SV345 @ SV273 @ SV191 ) ) ) )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK52_SY729 @ SV345 @ SV191 @ SV273 @ SV72 ) @ SV72 )
= $true )
| ( ( member_Sum_sum_c_c @ SV345 @ SV72 )
= $false )
| ( ( SV273 @ SV345 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2151]) ).
thf(2158,plain,
! [SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV345: sum_sum_c_c,SV72: set_Sum_sum_c_c] :
( ( ( ~ ( ~ ( member_Sum_sum_c_c @ ( sK57_SY730 @ SV72 @ SV345 @ SV273 @ SV191 ) @ SV191 )
| ~ ( SV273 @ ( sK57_SY730 @ SV72 @ SV345 @ SV273 @ SV191 ) ) ) )
= $true )
| ( ( SV273 @ ( sK52_SY729 @ SV345 @ SV191 @ SV273 @ SV72 ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV345 @ SV72 )
= $false )
| ( ( SV273 @ SV345 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2152]) ).
thf(2159,plain,
! [SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV346: sum_sum_c_c,SV72: set_Sum_sum_c_c] :
( ( ( ~ ( ~ ( member_Sum_sum_c_c @ ( sK58_SY730 @ SV72 @ SV346 @ SV273 @ SV191 ) @ SV191 )
| ~ ( SV273 @ ( sK58_SY730 @ SV72 @ SV346 @ SV273 @ SV191 ) ) ) )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK53_SY729 @ SV346 @ SV191 @ SV273 @ SV72 ) @ SV72 )
= $true )
| ( ( member_Sum_sum_c_c @ SV346 @ SV191 )
= $false )
| ( ( SV273 @ SV346 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2153]) ).
thf(2160,plain,
! [SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV346: sum_sum_c_c,SV72: set_Sum_sum_c_c] :
( ( ( ~ ( ~ ( member_Sum_sum_c_c @ ( sK59_SY730 @ SV72 @ SV346 @ SV273 @ SV191 ) @ SV191 )
| ~ ( SV273 @ ( sK59_SY730 @ SV72 @ SV346 @ SV273 @ SV191 ) ) ) )
= $true )
| ( ( SV273 @ ( sK53_SY729 @ SV346 @ SV191 @ SV273 @ SV72 ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV346 @ SV191 )
= $false )
| ( ( SV273 @ SV346 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2154]) ).
thf(2161,plain,
! [SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV344: sum_sum_c_c,SV72: set_Sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ ( sK54_SY730 @ SV72 @ SV344 @ SV273 @ SV191 ) @ SV191 ) )
= $false )
| ( ( member_Sum_sum_c_c @ ( sK49_SY729 @ SV344 @ SV191 @ SV273 @ SV72 ) @ SV72 )
= $true )
| ( ( member_Sum_sum_c_c @ SV344 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
= $false )
| ( ( SV273 @ SV344 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2155]) ).
thf(2162,plain,
! [SV191: set_Sum_sum_c_c,SV344: sum_sum_c_c,SV72: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o] :
( ( ( ~ ( SV273 @ ( sK54_SY730 @ SV72 @ SV344 @ SV273 @ SV191 ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ ( sK49_SY729 @ SV344 @ SV191 @ SV273 @ SV72 ) @ SV72 )
= $true )
| ( ( member_Sum_sum_c_c @ SV344 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
= $false )
| ( ( SV273 @ SV344 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2155]) ).
thf(2163,plain,
! [SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV344: sum_sum_c_c,SV72: set_Sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ ( sK55_SY730 @ SV72 @ SV344 @ SV273 @ SV191 ) @ SV191 ) )
= $false )
| ( ( SV273 @ ( sK49_SY729 @ SV344 @ SV191 @ SV273 @ SV72 ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV344 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
= $false )
| ( ( SV273 @ SV344 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2156]) ).
thf(2164,plain,
! [SV191: set_Sum_sum_c_c,SV344: sum_sum_c_c,SV72: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o] :
( ( ( ~ ( SV273 @ ( sK55_SY730 @ SV72 @ SV344 @ SV273 @ SV191 ) ) )
= $false )
| ( ( SV273 @ ( sK49_SY729 @ SV344 @ SV191 @ SV273 @ SV72 ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV344 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
= $false )
| ( ( SV273 @ SV344 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2156]) ).
thf(2165,plain,
! [SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV345: sum_sum_c_c,SV72: set_Sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ ( sK56_SY730 @ SV72 @ SV345 @ SV273 @ SV191 ) @ SV191 )
| ~ ( SV273 @ ( sK56_SY730 @ SV72 @ SV345 @ SV273 @ SV191 ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ ( sK52_SY729 @ SV345 @ SV191 @ SV273 @ SV72 ) @ SV72 )
= $true )
| ( ( member_Sum_sum_c_c @ SV345 @ SV72 )
= $false )
| ( ( SV273 @ SV345 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2157]) ).
thf(2166,plain,
! [SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV345: sum_sum_c_c,SV72: set_Sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ ( sK57_SY730 @ SV72 @ SV345 @ SV273 @ SV191 ) @ SV191 )
| ~ ( SV273 @ ( sK57_SY730 @ SV72 @ SV345 @ SV273 @ SV191 ) ) )
= $false )
| ( ( SV273 @ ( sK52_SY729 @ SV345 @ SV191 @ SV273 @ SV72 ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV345 @ SV72 )
= $false )
| ( ( SV273 @ SV345 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2158]) ).
thf(2167,plain,
! [SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV346: sum_sum_c_c,SV72: set_Sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ ( sK58_SY730 @ SV72 @ SV346 @ SV273 @ SV191 ) @ SV191 )
| ~ ( SV273 @ ( sK58_SY730 @ SV72 @ SV346 @ SV273 @ SV191 ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ ( sK53_SY729 @ SV346 @ SV191 @ SV273 @ SV72 ) @ SV72 )
= $true )
| ( ( member_Sum_sum_c_c @ SV346 @ SV191 )
= $false )
| ( ( SV273 @ SV346 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2159]) ).
thf(2168,plain,
! [SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV346: sum_sum_c_c,SV72: set_Sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ ( sK59_SY730 @ SV72 @ SV346 @ SV273 @ SV191 ) @ SV191 )
| ~ ( SV273 @ ( sK59_SY730 @ SV72 @ SV346 @ SV273 @ SV191 ) ) )
= $false )
| ( ( SV273 @ ( sK53_SY729 @ SV346 @ SV191 @ SV273 @ SV72 ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV346 @ SV191 )
= $false )
| ( ( SV273 @ SV346 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2160]) ).
thf(2169,plain,
! [SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV344: sum_sum_c_c,SV72: set_Sum_sum_c_c] :
( ( ( member_Sum_sum_c_c @ ( sK54_SY730 @ SV72 @ SV344 @ SV273 @ SV191 ) @ SV191 )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK49_SY729 @ SV344 @ SV191 @ SV273 @ SV72 ) @ SV72 )
= $true )
| ( ( member_Sum_sum_c_c @ SV344 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
= $false )
| ( ( SV273 @ SV344 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2161]) ).
thf(2170,plain,
! [SV191: set_Sum_sum_c_c,SV344: sum_sum_c_c,SV72: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o] :
( ( ( SV273 @ ( sK54_SY730 @ SV72 @ SV344 @ SV273 @ SV191 ) )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK49_SY729 @ SV344 @ SV191 @ SV273 @ SV72 ) @ SV72 )
= $true )
| ( ( member_Sum_sum_c_c @ SV344 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
= $false )
| ( ( SV273 @ SV344 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2162]) ).
thf(2171,plain,
! [SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV344: sum_sum_c_c,SV72: set_Sum_sum_c_c] :
( ( ( member_Sum_sum_c_c @ ( sK55_SY730 @ SV72 @ SV344 @ SV273 @ SV191 ) @ SV191 )
= $true )
| ( ( SV273 @ ( sK49_SY729 @ SV344 @ SV191 @ SV273 @ SV72 ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV344 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
= $false )
| ( ( SV273 @ SV344 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2163]) ).
thf(2172,plain,
! [SV191: set_Sum_sum_c_c,SV344: sum_sum_c_c,SV72: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o] :
( ( ( SV273 @ ( sK55_SY730 @ SV72 @ SV344 @ SV273 @ SV191 ) )
= $true )
| ( ( SV273 @ ( sK49_SY729 @ SV344 @ SV191 @ SV273 @ SV72 ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV344 @ ( sup_su1349021703um_c_c @ SV72 @ SV191 ) )
= $false )
| ( ( SV273 @ SV344 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2164]) ).
thf(2173,plain,
! [SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV345: sum_sum_c_c,SV72: set_Sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ ( sK56_SY730 @ SV72 @ SV345 @ SV273 @ SV191 ) @ SV191 ) )
= $false )
| ( ( member_Sum_sum_c_c @ ( sK52_SY729 @ SV345 @ SV191 @ SV273 @ SV72 ) @ SV72 )
= $true )
| ( ( member_Sum_sum_c_c @ SV345 @ SV72 )
= $false )
| ( ( SV273 @ SV345 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2165]) ).
thf(2174,plain,
! [SV191: set_Sum_sum_c_c,SV345: sum_sum_c_c,SV72: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o] :
( ( ( ~ ( SV273 @ ( sK56_SY730 @ SV72 @ SV345 @ SV273 @ SV191 ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ ( sK52_SY729 @ SV345 @ SV191 @ SV273 @ SV72 ) @ SV72 )
= $true )
| ( ( member_Sum_sum_c_c @ SV345 @ SV72 )
= $false )
| ( ( SV273 @ SV345 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2165]) ).
thf(2175,plain,
! [SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV345: sum_sum_c_c,SV72: set_Sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ ( sK57_SY730 @ SV72 @ SV345 @ SV273 @ SV191 ) @ SV191 ) )
= $false )
| ( ( SV273 @ ( sK52_SY729 @ SV345 @ SV191 @ SV273 @ SV72 ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV345 @ SV72 )
= $false )
| ( ( SV273 @ SV345 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2166]) ).
thf(2176,plain,
! [SV191: set_Sum_sum_c_c,SV345: sum_sum_c_c,SV72: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o] :
( ( ( ~ ( SV273 @ ( sK57_SY730 @ SV72 @ SV345 @ SV273 @ SV191 ) ) )
= $false )
| ( ( SV273 @ ( sK52_SY729 @ SV345 @ SV191 @ SV273 @ SV72 ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV345 @ SV72 )
= $false )
| ( ( SV273 @ SV345 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2166]) ).
thf(2177,plain,
! [SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV346: sum_sum_c_c,SV72: set_Sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ ( sK58_SY730 @ SV72 @ SV346 @ SV273 @ SV191 ) @ SV191 ) )
= $false )
| ( ( member_Sum_sum_c_c @ ( sK53_SY729 @ SV346 @ SV191 @ SV273 @ SV72 ) @ SV72 )
= $true )
| ( ( member_Sum_sum_c_c @ SV346 @ SV191 )
= $false )
| ( ( SV273 @ SV346 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2167]) ).
thf(2178,plain,
! [SV191: set_Sum_sum_c_c,SV346: sum_sum_c_c,SV72: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o] :
( ( ( ~ ( SV273 @ ( sK58_SY730 @ SV72 @ SV346 @ SV273 @ SV191 ) ) )
= $false )
| ( ( member_Sum_sum_c_c @ ( sK53_SY729 @ SV346 @ SV191 @ SV273 @ SV72 ) @ SV72 )
= $true )
| ( ( member_Sum_sum_c_c @ SV346 @ SV191 )
= $false )
| ( ( SV273 @ SV346 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2167]) ).
thf(2179,plain,
! [SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV346: sum_sum_c_c,SV72: set_Sum_sum_c_c] :
( ( ( ~ ( member_Sum_sum_c_c @ ( sK59_SY730 @ SV72 @ SV346 @ SV273 @ SV191 ) @ SV191 ) )
= $false )
| ( ( SV273 @ ( sK53_SY729 @ SV346 @ SV191 @ SV273 @ SV72 ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV346 @ SV191 )
= $false )
| ( ( SV273 @ SV346 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2168]) ).
thf(2180,plain,
! [SV191: set_Sum_sum_c_c,SV346: sum_sum_c_c,SV72: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o] :
( ( ( ~ ( SV273 @ ( sK59_SY730 @ SV72 @ SV346 @ SV273 @ SV191 ) ) )
= $false )
| ( ( SV273 @ ( sK53_SY729 @ SV346 @ SV191 @ SV273 @ SV72 ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV346 @ SV191 )
= $false )
| ( ( SV273 @ SV346 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2168]) ).
thf(2181,plain,
! [SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV345: sum_sum_c_c,SV72: set_Sum_sum_c_c] :
( ( ( member_Sum_sum_c_c @ ( sK56_SY730 @ SV72 @ SV345 @ SV273 @ SV191 ) @ SV191 )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK52_SY729 @ SV345 @ SV191 @ SV273 @ SV72 ) @ SV72 )
= $true )
| ( ( member_Sum_sum_c_c @ SV345 @ SV72 )
= $false )
| ( ( SV273 @ SV345 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2173]) ).
thf(2182,plain,
! [SV191: set_Sum_sum_c_c,SV345: sum_sum_c_c,SV72: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o] :
( ( ( SV273 @ ( sK56_SY730 @ SV72 @ SV345 @ SV273 @ SV191 ) )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK52_SY729 @ SV345 @ SV191 @ SV273 @ SV72 ) @ SV72 )
= $true )
| ( ( member_Sum_sum_c_c @ SV345 @ SV72 )
= $false )
| ( ( SV273 @ SV345 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2174]) ).
thf(2183,plain,
! [SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV345: sum_sum_c_c,SV72: set_Sum_sum_c_c] :
( ( ( member_Sum_sum_c_c @ ( sK57_SY730 @ SV72 @ SV345 @ SV273 @ SV191 ) @ SV191 )
= $true )
| ( ( SV273 @ ( sK52_SY729 @ SV345 @ SV191 @ SV273 @ SV72 ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV345 @ SV72 )
= $false )
| ( ( SV273 @ SV345 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2175]) ).
thf(2184,plain,
! [SV191: set_Sum_sum_c_c,SV345: sum_sum_c_c,SV72: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o] :
( ( ( SV273 @ ( sK57_SY730 @ SV72 @ SV345 @ SV273 @ SV191 ) )
= $true )
| ( ( SV273 @ ( sK52_SY729 @ SV345 @ SV191 @ SV273 @ SV72 ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV345 @ SV72 )
= $false )
| ( ( SV273 @ SV345 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2176]) ).
thf(2185,plain,
! [SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV346: sum_sum_c_c,SV72: set_Sum_sum_c_c] :
( ( ( member_Sum_sum_c_c @ ( sK58_SY730 @ SV72 @ SV346 @ SV273 @ SV191 ) @ SV191 )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK53_SY729 @ SV346 @ SV191 @ SV273 @ SV72 ) @ SV72 )
= $true )
| ( ( member_Sum_sum_c_c @ SV346 @ SV191 )
= $false )
| ( ( SV273 @ SV346 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2177]) ).
thf(2186,plain,
! [SV191: set_Sum_sum_c_c,SV346: sum_sum_c_c,SV72: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o] :
( ( ( SV273 @ ( sK58_SY730 @ SV72 @ SV346 @ SV273 @ SV191 ) )
= $true )
| ( ( member_Sum_sum_c_c @ ( sK53_SY729 @ SV346 @ SV191 @ SV273 @ SV72 ) @ SV72 )
= $true )
| ( ( member_Sum_sum_c_c @ SV346 @ SV191 )
= $false )
| ( ( SV273 @ SV346 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2178]) ).
thf(2187,plain,
! [SV191: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o,SV346: sum_sum_c_c,SV72: set_Sum_sum_c_c] :
( ( ( member_Sum_sum_c_c @ ( sK59_SY730 @ SV72 @ SV346 @ SV273 @ SV191 ) @ SV191 )
= $true )
| ( ( SV273 @ ( sK53_SY729 @ SV346 @ SV191 @ SV273 @ SV72 ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV346 @ SV191 )
= $false )
| ( ( SV273 @ SV346 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2179]) ).
thf(2188,plain,
! [SV191: set_Sum_sum_c_c,SV346: sum_sum_c_c,SV72: set_Sum_sum_c_c,SV273: sum_sum_c_c > $o] :
( ( ( SV273 @ ( sK59_SY730 @ SV72 @ SV346 @ SV273 @ SV191 ) )
= $true )
| ( ( SV273 @ ( sK53_SY729 @ SV346 @ SV191 @ SV273 @ SV72 ) )
= $true )
| ( ( member_Sum_sum_c_c @ SV346 @ SV191 )
= $false )
| ( ( SV273 @ SV346 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2180]) ).
thf(2189,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[492,2188,2187,2186,2185,2184,2183,2182,2181,2172,2171,2170,2169,2148,2147,2140,2139,2138,2137,2128,2127,2118,2117,2114,2113,2102,2093,2092,2087,2084,2071,2041,2032,2031,2024,2023,2022,2020,2012,2011,2008,2007,2000,1999,1998,1997,1996,1995,1990,1989,1988,1987,1986,1985,1975,1964,1943,1942,1934,1931,1930,1927,1926,1925,1915,1908,1903,1899,1895,1894,1893,1890,1889,1884,1882,1880,1870,1869,1866,1865,1859,1858,1855,1854,1851,1850,1846,1845,1834,1833,1830,1829,1826,1825,1817,1803,1795,1786,1785,1783,1782,1746,1745,1741,1740,1738,1737,1736,1735,1734,1733,1730,1723,1722,1707,1704,1698,1694,1691,1685,1678,1677,1676,1675,1674,1673,1672,1671,1670,1669,1668,1667,1666,1665,1664,1663,1662,1661,1660,1659,1657,1655,1654,1652,1650,1649,1636,1633,1630,1572,1566,1561,1558,1557,1556,1554,1525,1522,1521,1518,1515,1504,1503,1502,1501,1490,1481,1475,1472,1467,1466,1465,1464,1459,1458,1450,1449,1448,1447,1444,1402,1400,1399,1397,1383,1381,1378,1372,1370,1361,1334,1328,1326,1323,1318,1314,1309,1307,1302,1298,1288,1274,1269,1268,1262,1260,1259,1255,1252,1250,1246,1243,1240,1237,1233,1232,1231,1229,1228,1220,1217,1211,1207,1205,1203,1202,1201,1196,1194,1192,1190,1188,1171,1162,1158,1156,1153,1150,1145,1144,1141,1124,1120,1114,1112,1111,1101,1097,1096,1095,1094,1087,1085,1081,1079,1034,1021,1010,999,997,995,994,993,991,990,989,988,986,985,984,982,980,979,978,976,974,972,970,968,884,883,882,881,880,879,877,876,873,871,861,860,858,857,856,855,852,851,847,846,845,796,783,750,749,742,738,736,730,724,722,718,716,714,709,708,499,498,497,496,495,494,493]) ).
thf(2190,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[2189]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP036^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.21 % Computer : n009.cluster.edu
% 0.10/0.21 % Model : x86_64 x86_64
% 0.10/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.21 % Memory : 8046.5625MB
% 0.10/0.21 % OS : Linux 6.8.0-71-generic
% 0.10/0.21 % CPULimit : 300
% 0.10/0.21 % WCLimit : 300
% 0.10/0.21 % DateTime : Tue Oct 6 11:14:47 UTC 2026
% 0.10/0.21 % CPUTime :
% 0.10/0.21 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 32.68/5.78 ..
% 32.68/5.78
% 32.68/5.78 No.of.Axioms: 133
% 32.68/5.78
% 32.68/5.78 Length.of.Defs: 0
% 32.68/5.78
% 32.68/5.78 Contains.Choice.Funs: true
% 32.68/5.78 .........................................................
% 32.68/5.78
% 32.68/5.78 ********************************
% 32.68/5.78 * All subproblems solved! *
% 32.68/5.78 ********************************
% 32.68/5.78 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:133,ps:0,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:2189,loop_count:0,foatp_calls:1,translation:fof_full)
% 32.68/5.78
% 32.68/5.78 %**** Beginning of derivation protocol ****
% 32.68/5.78 % SZS output start CNFRefutation
% See solution above
% 5.70/5.80
% 5.70/5.80 %**** End of derivation protocol ****
% 5.70/5.80 %**** no. of clauses in derivation: 1969 ****
% 5.70/5.80 %**** clause counter: 2189 ****
% 5.70/5.80
% 5.70/5.80 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:133,ps:0,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:2189,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------