%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : ITP176^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : 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 10:24:36 AM UTC 2026
% Result : Theorem 277.19s 46.88s
% Output : CNFRefutation 45.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 67
% Number of leaves : 83
% Syntax : Number of formulae : 3555 ( 642 unt; 0 typ; 0 def)
% Number of atoms : 26449 (13177 equ; 0 cnn)
% Maximal formula atoms : 9 ( 7 avg)
% Number of connectives : 54711 (14665 ~;8549 |; 60 &;31251 @)
% ( 0 <=>; 186 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Number of types : 30 ( 29 usr)
% Number of type conns : 2461 (2461 >; 0 *; 0 +; 0 <<)
% Number of symbols : 174 ( 171 usr; 15 con; 0-5 aty)
% Number of variables : 12417 (3932 ^;8461 !; 24 ?;12417 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_b,type,
b: $tType ).
thf(tp_labele1159362096nt_a_b,type,
labele1159362096nt_a_b: $tType ).
thf(tp_labele1835558936od_b_b,type,
labele1835558936od_b_b: $tType ).
thf(tp_produc1052326083od_b_b,type,
produc1052326083od_b_b: $tType ).
thf(tp_produc1168037607od_b_b,type,
produc1168037607od_b_b: $tType ).
thf(tp_produc1213276845od_b_b,type,
produc1213276845od_b_b: $tType ).
thf(tp_produc1367125253tant_a,type,
produc1367125253tant_a: $tType ).
thf(tp_produc1605346267od_b_b,type,
produc1605346267od_b_b: $tType ).
thf(tp_produc1990339951od_b_b,type,
produc1990339951od_b_b: $tType ).
thf(tp_produc2112523263_b_b_b,type,
produc2112523263_b_b_b: $tType ).
thf(tp_produc255402447od_b_b,type,
produc255402447od_b_b: $tType ).
thf(tp_produc276146823_b_b_b,type,
produc276146823_b_b_b: $tType ).
thf(tp_produc970027067od_b_b,type,
produc970027067od_b_b: $tType ).
thf(tp_product_prod_b_b,type,
product_prod_b_b: $tType ).
thf(tp_set_Pr1021918435od_b_b,type,
set_Pr1021918435od_b_b: $tType ).
thf(tp_set_Pr1071216121od_b_b,type,
set_Pr1071216121od_b_b: $tType ).
thf(tp_set_Pr1324126435od_b_b,type,
set_Pr1324126435od_b_b: $tType ).
thf(tp_set_Pr1906739389_b_b_b,type,
set_Pr1906739389_b_b_b: $tType ).
thf(tp_set_Pr2007082183od_b_b,type,
set_Pr2007082183od_b_b: $tType ).
thf(tp_set_Pr2060523537od_b_b,type,
set_Pr2060523537od_b_b: $tType ).
thf(tp_set_Pr2109276827od_b_b,type,
set_Pr2109276827od_b_b: $tType ).
thf(tp_set_Pr2134561957od_b_b,type,
set_Pr2134561957od_b_b: $tType ).
thf(tp_set_Pr306736955tant_a,type,
set_Pr306736955tant_a: $tType ).
thf(tp_set_Pr357419743_b_b_b,type,
set_Pr357419743_b_b_b: $tType ).
thf(tp_set_Pr621705391od_b_b,type,
set_Pr621705391od_b_b: $tType ).
thf(tp_set_Product_prod_b_b,type,
set_Product_prod_b_b: $tType ).
thf(tp_set_St761939237tant_a,type,
set_St761939237tant_a: $tType ).
thf(tp_set_b,type,
set_b: $tType ).
thf(tp_standard_Constant_a,type,
standard_Constant_a: $tType ).
thf(tp_bot_bo1124087115_b_b_b,type,
bot_bo1124087115_b_b_b: set_Pr357419743_b_b_b ).
thf(tp_bot_bo1160111033tant_a,type,
bot_bo1160111033tant_a: set_St761939237tant_a ).
thf(tp_bot_bo1167600078_b_b_o,type,
bot_bo1167600078_b_b_o: produc1213276845od_b_b > $o ).
thf(tp_bot_bo1174586163od_b_b,type,
bot_bo1174586163od_b_b: set_Pr2007082183od_b_b ).
thf(tp_bot_bo1302443370_b_b_o,type,
bot_bo1302443370_b_b_o: product_prod_b_b > $o ).
thf(tp_bot_bo1343651123od_b_b,type,
bot_bo1343651123od_b_b: set_Product_prod_b_b ).
thf(tp_bot_bo1664927607od_b_b,type,
bot_bo1664927607od_b_b: set_Pr1324126435od_b_b ).
thf(tp_bot_bo1734638456_b_b_o,type,
bot_bo1734638456_b_b_o: standard_Constant_a > product_prod_b_b > $o ).
thf(tp_bot_bo1964903287od_b_b,type,
bot_bo1964903287od_b_b: set_Pr1021918435od_b_b ).
thf(tp_bot_bot_b_b_o,type,
bot_bot_b_b_o: b > b > $o ).
thf(tp_bot_bot_b_o,type,
bot_bot_b_o: b > $o ).
thf(tp_bot_bot_set_b,type,
bot_bot_set_b: set_b ).
thf(tp_collec1481886546od_b_b,type,
collec1481886546od_b_b: ( product_prod_b_b > $o ) > set_Product_prod_b_b ).
thf(tp_collec279084418od_b_b,type,
collec279084418od_b_b: ( produc1213276845od_b_b > $o ) > set_Pr1324126435od_b_b ).
thf(tp_collect_b,type,
collect_b: ( b > $o ) > set_b ).
thf(tp_conver1398856763od_b_b,type,
conver1398856763od_b_b: set_Pr1324126435od_b_b > set_Pr306736955tant_a ).
thf(tp_conver1943590235tant_a,type,
conver1943590235tant_a: set_Pr306736955tant_a > set_Pr1324126435od_b_b ).
thf(tp_converse_b_b,type,
converse_b_b: set_Product_prod_b_b > set_Product_prod_b_b ).
thf(tp_equiv_1036235914_set_b,type,
equiv_1036235914_set_b: set_Pr2007082183od_b_b > set_Product_prod_b_b > ( product_prod_b_b > b > set_b ) > $o ).
thf(tp_equiv_1125628061od_b_b,type,
equiv_1125628061od_b_b: set_Product_prod_b_b > set_Pr2007082183od_b_b > $o ).
thf(tp_equiv_1629197578_set_b,type,
equiv_1629197578_set_b: set_Pr2109276827od_b_b > set_Product_prod_b_b > ( produc1213276845od_b_b > b > set_b ) > $o ).
thf(tp_equiv_167626658_set_b,type,
equiv_167626658_set_b: set_Product_prod_b_b > set_Product_prod_b_b > ( b > b > set_b ) > $o ).
thf(tp_equiv_1821124534_set_b,type,
equiv_1821124534_set_b: set_Product_prod_b_b > ( b > set_b ) > $o ).
thf(tp_equiv_2048442231od_b_b,type,
equiv_2048442231od_b_b: set_Pr1324126435od_b_b > set_Pr2109276827od_b_b > $o ).
thf(tp_equiv_equiv_b,type,
equiv_equiv_b: set_b > set_Product_prod_b_b > $o ).
thf(tp_equiv_proj_b_b,type,
equiv_proj_b_b: set_Product_prod_b_b > b > set_b ).
thf(tp_f,type,
f: b > b ).
thf(tp_g,type,
g: labele1159362096nt_a_b ).
thf(tp_getRel904497637nt_a_b,type,
getRel904497637nt_a_b: standard_Constant_a > labele1159362096nt_a_b > set_Product_prod_b_b ).
thf(tp_graph_222606102_a_b_b,type,
graph_222606102_a_b_b: labele1159362096nt_a_b > labele1159362096nt_a_b > set_Product_prod_b_b > $o ).
thf(tp_graph_792023598_b_b_b,type,
graph_792023598_b_b_b: labele1835558936od_b_b > labele1159362096nt_a_b > set_Pr357419743_b_b_b > $o ).
thf(tp_hilber46179633od_b_b,type,
hilber46179633od_b_b: ( produc1213276845od_b_b > $o ) > produc1213276845od_b_b ).
thf(tp_hilber620807523od_b_b,type,
hilber620807523od_b_b: ( product_prod_b_b > $o ) > product_prod_b_b ).
thf(tp_hilbert_Eps_b,type,
hilbert_Eps_b: ( b > $o ) > b ).
thf(tp_if_b,type,
if_b: $o > b > b > b ).
thf(tp_image_1177096571od_b_b,type,
image_1177096571od_b_b: set_Pr621705391od_b_b > set_b > set_Product_prod_b_b ).
thf(tp_image_1397930469od_b_b,type,
image_1397930469od_b_b: set_Pr2134561957od_b_b > set_Pr1324126435od_b_b > set_Product_prod_b_b ).
thf(tp_image_1764625405_b_b_b,type,
image_1764625405_b_b_b: set_Pr1906739389_b_b_b > set_Pr1324126435od_b_b > set_b ).
thf(tp_image_1916422435od_b_b,type,
image_1916422435od_b_b: set_Pr1324126435od_b_b > set_St761939237tant_a > set_Product_prod_b_b ).
thf(tp_image_1928024979od_b_b,type,
image_1928024979od_b_b: set_Pr2007082183od_b_b > set_Product_prod_b_b > set_Product_prod_b_b ).
thf(tp_image_532916993od_b_b,type,
image_532916993od_b_b: set_Pr1071216121od_b_b > set_Product_prod_b_b > set_Pr1324126435od_b_b ).
thf(tp_image_763305007od_b_b,type,
image_763305007od_b_b: set_Pr2109276827od_b_b > set_Pr1324126435od_b_b > set_Pr1324126435od_b_b ).
thf(tp_image_921732011_b_b_b,type,
image_921732011_b_b_b: set_Pr357419743_b_b_b > set_Product_prod_b_b > set_b ).
thf(tp_image_984343321od_b_b,type,
image_984343321od_b_b: set_Pr2060523537od_b_b > set_b > set_Pr1324126435od_b_b ).
thf(tp_image_b_b,type,
image_b_b: set_Product_prod_b_b > set_b > set_b ).
thf(tp_insert1098249399od_b_b,type,
insert1098249399od_b_b: produc1168037607od_b_b > set_Pr2007082183od_b_b > set_Pr2007082183od_b_b ).
thf(tp_insert1909710879tant_a,type,
insert1909710879tant_a: standard_Constant_a > set_St761939237tant_a > set_St761939237tant_a ).
thf(tp_insert1952693431od_b_b,type,
insert1952693431od_b_b: product_prod_b_b > set_Product_prod_b_b > set_Product_prod_b_b ).
thf(tp_insert2037698781od_b_b,type,
insert2037698781od_b_b: produc1213276845od_b_b > set_Pr1324126435od_b_b > set_Pr1324126435od_b_b ).
thf(tp_insert_b,type,
insert_b: b > set_b > set_b ).
thf(tp_is_sin1465183929od_b_b,type,
is_sin1465183929od_b_b: set_Pr1324126435od_b_b > $o ).
thf(tp_is_sin1713057243od_b_b,type,
is_sin1713057243od_b_b: set_Product_prod_b_b > $o ).
thf(tp_is_singleton_b,type,
is_singleton_b: set_b > $o ).
thf(tp_labele1230159100nt_a_b,type,
labele1230159100nt_a_b: set_Pr1324126435od_b_b > set_b > labele1159362096nt_a_b ).
thf(tp_labele1287464530_set_b,type,
labele1287464530_set_b: ( set_Pr1324126435od_b_b > set_b > set_b ) > labele1159362096nt_a_b > set_b ).
thf(tp_labele1424214014nt_a_b,type,
labele1424214014nt_a_b: labele1159362096nt_a_b > set_b ).
thf(tp_labele170595300od_b_b,type,
labele170595300od_b_b: set_Pr1021918435od_b_b > set_Product_prod_b_b > labele1835558936od_b_b ).
thf(tp_labele1741081071nt_a_b,type,
labele1741081071nt_a_b: labele1159362096nt_a_b > set_Pr1324126435od_b_b ).
thf(tp_labele377702064od_b_b,type,
labele377702064od_b_b: ( set_Pr1324126435od_b_b > set_b > set_Pr1324126435od_b_b ) > labele1159362096nt_a_b > set_Pr1324126435od_b_b ).
thf(tp_member1086024932od_b_b,type,
member1086024932od_b_b: produc970027067od_b_b > set_Pr2109276827od_b_b > $o ).
thf(tp_member1285940496od_b_b,type,
member1285940496od_b_b: product_prod_b_b > set_Product_prod_b_b > $o ).
thf(tp_member1417789726_b_b_b,type,
member1417789726_b_b_b: produc276146823_b_b_b > set_Pr1906739389_b_b_b > $o ).
thf(tp_member1516365892od_b_b,type,
member1516365892od_b_b: produc1213276845od_b_b > set_Pr1324126435od_b_b > $o ).
thf(tp_member1632892294tant_a,type,
member1632892294tant_a: standard_Constant_a > set_St761939237tant_a > $o ).
thf(tp_member1652792080od_b_b,type,
member1652792080od_b_b: produc1168037607od_b_b > set_Pr2007082183od_b_b > $o ).
thf(tp_member1670214300tant_a,type,
member1670214300tant_a: produc1367125253tant_a > set_Pr306736955tant_a > $o ).
thf(tp_member351494440_b_b_b,type,
member351494440_b_b_b: produc2112523263_b_b_b > set_Pr357419743_b_b_b > $o ).
thf(tp_member4694106od_b_b,type,
member4694106od_b_b: produc1052326083od_b_b > set_Pr1071216121od_b_b > $o ).
thf(tp_member599505522od_b_b,type,
member599505522od_b_b: produc1605346267od_b_b > set_Pr2060523537od_b_b > $o ).
thf(tp_member641857272od_b_b,type,
member641857272od_b_b: produc255402447od_b_b > set_Pr621705391od_b_b > $o ).
thf(tp_member942707974od_b_b,type,
member942707974od_b_b: produc1990339951od_b_b > set_Pr2134561957od_b_b > $o ).
thf(tp_member_b,type,
member_b: b > set_b > $o ).
thf(tp_ord_le1036320359od_b_b,type,
ord_le1036320359od_b_b: set_Product_prod_b_b > set_Product_prod_b_b > $o ).
thf(tp_ord_le123089219od_b_b,type,
ord_le123089219od_b_b: set_Pr1324126435od_b_b > set_Pr1324126435od_b_b > $o ).
thf(tp_ord_less_eq_set_b,type,
ord_less_eq_set_b: set_b > set_b > $o ).
thf(tp_order_609163036od_b_b,type,
order_609163036od_b_b: set_Product_prod_b_b > set_Pr2007082183od_b_b > $o ).
thf(tp_order_653178932r_on_b,type,
order_653178932r_on_b: set_b > set_Product_prod_b_b > $o ).
thf(tp_p,type,
p: b > b > $o ).
thf(tp_produc1001682799_b_b_b,type,
produc1001682799_b_b_b: product_prod_b_b > b > produc2112523263_b_b_b ).
thf(tp_produc1257047359od_b_b,type,
produc1257047359od_b_b: b > product_prod_b_b > produc255402447od_b_b ).
thf(tp_produc1432590431od_b_b,type,
produc1432590431od_b_b: standard_Constant_a > product_prod_b_b > produc1213276845od_b_b ).
thf(tp_produc1580777273_b_b_b,type,
produc1580777273_b_b_b: produc1213276845od_b_b > b > produc276146823_b_b_b ).
thf(tp_produc1597690145od_b_b,type,
produc1597690145od_b_b: produc1213276845od_b_b > product_prod_b_b > produc1990339951od_b_b ).
thf(tp_produc1977323903tant_a,type,
produc1977323903tant_a: product_prod_b_b > standard_Constant_a > produc1367125253tant_a ).
thf(tp_produc449289715od_b_b,type,
produc449289715od_b_b: produc1213276845od_b_b > produc1213276845od_b_b > produc970027067od_b_b ).
thf(tp_produc546497367od_b_b,type,
produc546497367od_b_b: product_prod_b_b > product_prod_b_b > produc1168037607od_b_b ).
thf(tp_produc732676669od_b_b,type,
produc732676669od_b_b: product_prod_b_b > produc1213276845od_b_b > produc1052326083od_b_b ).
thf(tp_produc800495189od_b_b,type,
produc800495189od_b_b: b > produc1213276845od_b_b > produc1605346267od_b_b ).
thf(tp_product_Pair_b_b,type,
product_Pair_b_b: b > b > product_prod_b_b ).
thf(tp_refl_o1921098222od_b_b,type,
refl_o1921098222od_b_b: set_Pr1324126435od_b_b > set_Pr2109276827od_b_b > $o ).
thf(tp_refl_o2134473190od_b_b,type,
refl_o2134473190od_b_b: set_Product_prod_b_b > set_Pr2007082183od_b_b > $o ).
thf(tp_refl_on_b,type,
refl_on_b: set_b > set_Product_prod_b_b > $o ).
thf(tp_restri446606278nt_a_b,type,
restri446606278nt_a_b: labele1159362096nt_a_b > labele1159362096nt_a_b ).
thf(tp_sK10_SY244,type,
sK10_SY244: set_b > b ).
thf(tp_sK11_SY336,type,
sK11_SY336: b > ( b > $o ) > b ).
thf(tp_sK12_SY377,type,
sK12_SY377: set_b > b ).
thf(tp_sK13_SY364,type,
sK13_SY364: b > ( b > $o ) > ( b > $o ) > b ).
thf(tp_sK14_SY373,type,
sK14_SY373: set_b > set_b > b ).
thf(tp_sK15_SY375,type,
sK15_SY375: set_b > set_b > b ).
thf(tp_sK16_SY259,type,
sK16_SY259: ( b > $o ) > b ).
thf(tp_sK17_SY344,type,
sK17_SY344: b > ( b > $o ) > ( b > $o ) > b ).
thf(tp_sK18_SY332,type,
sK18_SY332: set_b > b ).
thf(tp_sK19_SY274,type,
sK19_SY274: set_b > b ).
thf(tp_sK1_SY224,type,
sK1_SY224: set_b > b ).
thf(tp_sK20_SY376,type,
sK20_SY376: b > b > ( b > $o ) > b ).
thf(tp_sK21_SY259,type,
sK21_SY259: b > ( b > $o ) > b ).
thf(tp_sK22_SY274,type,
sK22_SY274: b > set_b > b ).
thf(tp_sK23_SY332,type,
sK23_SY332: b > set_b > b ).
thf(tp_sK24_SY369,type,
sK24_SY369: b > ( b > $o ) > ( b > $o ) > set_b > b ).
thf(tp_sK25_SY374,type,
sK25_SY374: b > set_b > b > set_b > set_b ).
thf(tp_sK26_SY374,type,
sK26_SY374: b > set_b > b > set_b > set_b ).
thf(tp_sK27_SY374,type,
sK27_SY374: b > set_b > b > set_b > set_b ).
thf(tp_sK28_SY374,type,
sK28_SY374: set_b > b > set_b > b > set_b > set_b ).
thf(tp_sK29_SY374,type,
sK29_SY374: set_b > b > set_b > b > set_b > set_b ).
thf(tp_sK2_SY226,type,
sK2_SY226: set_b > b ).
thf(tp_sK30_SY206,type,
sK30_SY206: ( b > $o ) > b ).
thf(tp_sK31_SY207,type,
sK31_SY207: ( b > $o ) > b ).
thf(tp_sK32_SY208,type,
sK32_SY208: set_b > b ).
thf(tp_sK33_SY434,type,
sK33_SY434: set_b > set_b > b ).
thf(tp_sK34_SY435,type,
sK34_SY435: set_b > set_b > b ).
thf(tp_sK35_SY373,type,
sK35_SY373: set_b > set_b > b ).
thf(tp_sK36_SY375,type,
sK36_SY375: set_b > set_b > b ).
thf(tp_sK37_SY430,type,
sK37_SY430: set_b > b ).
thf(tp_sK38_SY259,type,
sK38_SY259: ( b > $o ) > b ).
thf(tp_sK39_SY274,type,
sK39_SY274: set_b > b ).
thf(tp_sK3_SY345,type,
sK3_SY345: set_b > set_b > b ).
thf(tp_sK40_SY332,type,
sK40_SY332: set_b > b ).
thf(tp_sK41_SY440,type,
sK41_SY440: set_b > set_b > b ).
thf(tp_sK42_SY441,type,
sK42_SY441: set_b > set_b > b ).
thf(tp_sK43_SY374,type,
sK43_SY374: b > set_b > b > set_b > set_b ).
thf(tp_sK44_SY440,type,
sK44_SY440: set_b > set_b > b ).
thf(tp_sK45_SY443,type,
sK45_SY443: set_b > set_b > b ).
thf(tp_sK46_SY441,type,
sK46_SY441: set_b > set_b > b ).
thf(tp_sK47_SY444,type,
sK47_SY444: set_b > set_b > b ).
thf(tp_sK48_E,type,
sK48_E: b > b ).
thf(tp_sK49_E,type,
sK49_E: b > b ).
thf(tp_sK4_SY354,type,
sK4_SY354: ( b > $o ) > ( b > $o ) > b ).
thf(tp_sK50_E,type,
sK50_E: b > b ).
thf(tp_sK51_E,type,
sK51_E: ( b > set_b ) > b > ( b > b > $o ) > b ).
thf(tp_sK52_E,type,
sK52_E: ( b > set_b ) > b > ( b > b > $o ) > b ).
thf(tp_sK53_E,type,
sK53_E: ( b > set_b ) > b > ( b > b > $o ) > b ).
thf(tp_sK54_E,type,
sK54_E: ( b > set_b ) > b > ( b > b > $o ) > b ).
thf(tp_sK55_E,type,
sK55_E: ( b > set_b ) > b > ( b > b > $o ) > b ).
thf(tp_sK56_E,type,
sK56_E: ( b > set_b ) > b > ( b > b > $o ) > b ).
thf(tp_sK57_E,type,
sK57_E: ( b > set_b ) > b > ( b > b > $o ) > b ).
thf(tp_sK58_E,type,
sK58_E: ( b > set_b ) > b > ( b > b > $o ) > b ).
thf(tp_sK59_E,type,
sK59_E: b > ( b > b > $o ) > b ).
thf(tp_sK5_SY206,type,
sK5_SY206: ( b > $o ) > b ).
thf(tp_sK60_E,type,
sK60_E: ( b > b > set_b ) > b > ( b > b > b > $o ) > b ).
thf(tp_sK61_E,type,
sK61_E: ( b > b > set_b ) > b > ( b > b > b > $o ) > b ).
thf(tp_sK62_E,type,
sK62_E: b > ( b > b > $o ) > b ).
thf(tp_sK63_E,type,
sK63_E: ( b > set_b ) > b > ( b > b > $o ) > b ).
thf(tp_sK64_E,type,
sK64_E: ( b > b > set_b ) > ( b > set_b ) > b > ( b > b > b > $o ) > b ).
thf(tp_sK65_E,type,
sK65_E: ( b > b > set_b ) > ( b > set_b ) > b > ( b > b > b > $o ) > b ).
thf(tp_sK66_E,type,
sK66_E: ( b > set_b ) > b > ( b > b > $o ) > b ).
thf(tp_sK67_E,type,
sK67_E: ( b > b > set_b ) > ( b > set_b ) > b > ( b > b > b > $o ) > b ).
thf(tp_sK68_E,type,
sK68_E: ( b > b > set_b ) > ( b > set_b ) > b > ( b > b > b > $o ) > b ).
thf(tp_sK69_E,type,
sK69_E: b ).
thf(tp_sK6_SY207,type,
sK6_SY207: ( b > $o ) > b ).
thf(tp_sK70_E,type,
sK70_E: b ).
thf(tp_sK7_SY208,type,
sK7_SY208: set_b > b ).
thf(tp_sK8_SY318,type,
sK8_SY318: b > set_b > set_b ).
thf(tp_sK9_SY326,type,
sK9_SY326: b > set_b > set_b ).
thf(tp_standard_S_Idt_a,type,
standard_S_Idt_a: standard_Constant_a ).
thf(tp_the_el329196508od_b_b,type,
the_el329196508od_b_b: set_Product_prod_b_b > product_prod_b_b ).
thf(tp_the_elem_b,type,
the_elem_b: set_b > b ).
thf(tp_total_178717291od_b_b,type,
total_178717291od_b_b: set_Product_prod_b_b > set_Pr2007082183od_b_b > $o ).
thf(tp_total_771970601od_b_b,type,
total_771970601od_b_b: set_Pr1324126435od_b_b > set_Pr2109276827od_b_b > $o ).
thf(tp_total_on_b,type,
total_on_b: set_b > set_Product_prod_b_b > $o ).
thf(tp_x,type,
x: b ).
thf(tp_y,type,
y: b ).
thf(3,axiom,
! [P: $o] :
( ( P = $true )
| ( P = $false ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_If_3_1_If_001tf__b_T) ).
thf(5,axiom,
! [X3: set_b,A: b] :
( ( ord_less_eq_set_b @ X3 @ ( insert_b @ A @ bot_bot_set_b ) )
= ( ( X3 = bot_bot_set_b )
| ( X3
= ( insert_b @ A @ bot_bot_set_b ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_353_subset__singleton__iff) ).
thf(6,axiom,
! [A2: set_b,B2: set_b,B: b] :
( ( ord_less_eq_set_b @ A2 @ B2 )
=> ( ord_less_eq_set_b @ A2 @ ( insert_b @ B @ B2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_352_subset__insertI2) ).
thf(7,axiom,
! [B2: set_b,A: b] : ( ord_less_eq_set_b @ B2 @ ( insert_b @ A @ B2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_351_subset__insertI) ).
thf(10,axiom,
! [X: b,A2: set_b,B2: set_b] :
( ~ ( member_b @ X @ A2 )
=> ( ( ord_less_eq_set_b @ A2 @ ( insert_b @ X @ B2 ) )
= ( ord_less_eq_set_b @ A2 @ B2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_348_subset__insert) ).
thf(11,axiom,
! [C4: set_b,D2: set_b,A: b] :
( ( ord_less_eq_set_b @ C4 @ D2 )
=> ( ord_less_eq_set_b @ ( insert_b @ A @ C4 ) @ ( insert_b @ A @ D2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_347_insert__mono) ).
thf(13,axiom,
! [A: set_b] : ( ord_less_eq_set_b @ bot_bot_set_b @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_345_bot_Oextremum) ).
thf(15,axiom,
! [A: set_b] :
( ( ord_less_eq_set_b @ A @ bot_bot_set_b )
= ( A = bot_bot_set_b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_343_bot_Oextremum__unique) ).
thf(17,axiom,
! [A: set_b] :
( ( ord_less_eq_set_b @ A @ bot_bot_set_b )
=> ( A = bot_bot_set_b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_341_bot_Oextremum__uniqueI) ).
thf(23,axiom,
! [A2: set_b,B2: set_b,X: b] :
( ( ord_less_eq_set_b @ A2 @ B2 )
=> ( ( member_b @ X @ A2 )
=> ( member_b @ X @ B2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_335_in__mono) ).
thf(26,axiom,
! [A2: set_b,B2: set_b,C: b] :
( ( ord_less_eq_set_b @ A2 @ B2 )
=> ( ( member_b @ C @ A2 )
=> ( member_b @ C @ B2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_332_subsetD) ).
thf(29,axiom,
( ord_less_eq_set_b
= ( ^ [A6: set_b,B5: set_b] :
! [X2: b] :
( ( member_b @ X2 @ A6 )
=> ( member_b @ X2 @ B5 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_329_subset__eq) ).
thf(32,axiom,
( ord_less_eq_set_b
= ( ^ [A6: set_b,B5: set_b] :
! [T: b] :
( ( member_b @ T @ A6 )
=> ( member_b @ T @ B5 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_326_subset__iff) ).
thf(40,axiom,
! [B: b,A: b,A2: set_b] :
( ( ( insert_b @ B @ bot_bot_set_b )
= ( insert_b @ A @ A2 ) )
= ( ( A = B )
& ( ord_less_eq_set_b @ A2 @ ( insert_b @ B @ bot_bot_set_b ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_318_singleton__insert__inj__eq) ).
thf(42,axiom,
! [A: b,A2: set_b,B: b] :
( ( ( insert_b @ A @ A2 )
= ( insert_b @ B @ bot_bot_set_b ) )
= ( ( A = B )
& ( ord_less_eq_set_b @ A2 @ ( insert_b @ B @ bot_bot_set_b ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_316_singleton__insert__inj__eq_H) ).
thf(45,axiom,
! [X: b,A2: set_b,B2: set_b] :
( ( ord_less_eq_set_b @ ( insert_b @ X @ A2 ) @ B2 )
= ( ( member_b @ X @ B2 )
& ( ord_less_eq_set_b @ A2 @ B2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_313_insert__subset) ).
thf(47,axiom,
! [A2: set_b] :
( ( ord_less_eq_set_b @ A2 @ bot_bot_set_b )
= ( A2 = bot_bot_set_b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_311_subset__empty) ).
thf(49,axiom,
! [A2: set_b] : ( ord_less_eq_set_b @ bot_bot_set_b @ A2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_309_empty__subsetI) ).
thf(53,axiom,
! [A2: set_b,B2: set_b] :
( ! [X4: b] :
( ( member_b @ X4 @ A2 )
=> ( member_b @ X4 @ B2 ) )
=> ( ord_less_eq_set_b @ A2 @ B2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_305_subsetI) ).
thf(56,axiom,
( equiv_proj_b_b
= ( ^ [R3: set_Product_prod_b_b,X2: b] : ( image_b_b @ R3 @ ( insert_b @ X2 @ bot_bot_set_b ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_302_proj__def) ).
thf(73,axiom,
! [R2: set_Product_prod_b_b] : ( total_on_b @ bot_bot_set_b @ R2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_285_total__on__empty) ).
thf(90,axiom,
! [A2: set_b,R2: set_Product_prod_b_b,A: b] :
( ( equiv_equiv_b @ A2 @ R2 )
=> ( ( member_b @ A @ A2 )
=> ( member_b @ A @ ( image_b_b @ R2 @ ( insert_b @ A @ bot_bot_set_b ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_268_equiv__class__self) ).
thf(106,axiom,
! [A2: set_b] :
( ( is_singleton_b @ A2 )
=> ~ ! [X4: b] :
( A2
!= ( insert_b @ X4 @ bot_bot_set_b ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_252_is__singletonE) ).
thf(108,axiom,
( is_singleton_b
= ( ^ [A6: set_b] :
? [X2: b] :
( A6
= ( insert_b @ X2 @ bot_bot_set_b ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_250_is__singleton__def) ).
thf(112,axiom,
! [A2: set_b] :
( ( A2 != bot_bot_set_b )
=> ( ! [X4: b,Y3: b] :
( ( member_b @ X4 @ A2 )
=> ( ( member_b @ Y3 @ A2 )
=> ( X4 = Y3 ) ) )
=> ( is_singleton_b @ A2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_246_is__singletonI_H) ).
thf(126,axiom,
! [X: b] : ( is_singleton_b @ ( insert_b @ X @ bot_bot_set_b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_232_is__singletonI) ).
thf(149,axiom,
( bot_bot_b_o
= ( ^ [X2: b] : ( member_b @ X2 @ bot_bot_set_b ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_209_bot__empty__eq) ).
thf(185,axiom,
! [X: b] :
( ( the_elem_b @ ( insert_b @ X @ bot_bot_set_b ) )
= X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_173_the__elem__eq) ).
thf(188,axiom,
! [X: b] :
( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ X @ bot_bot_set_b ) )
= bot_bot_set_b )
= ( ~ ( member_b @ X @ ( labele1424214014nt_a_b @ g ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_170_r2) ).
thf(194,axiom,
! [A2: set_b] :
( ( member_b
@ ( hilbert_Eps_b
@ ^ [X2: b] : ( member_b @ X2 @ A2 ) )
@ A2 )
= ( A2 != bot_bot_set_b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_164_some__in__eq) ).
thf(197,axiom,
! [P: b > $o,A: b] :
( ( ( P @ A )
=> ( ( collect_b
@ ^ [X2: b] :
( ( X2 = A )
& ( P @ X2 ) ) )
= ( insert_b @ A @ bot_bot_set_b ) ) )
& ( ~ ( P @ A )
=> ( ( collect_b
@ ^ [X2: b] :
( ( X2 = A )
& ( P @ X2 ) ) )
= bot_bot_set_b ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_161_Collect__conv__if) ).
thf(199,axiom,
! [P: b > $o,A: b] :
( ( ( P @ A )
=> ( ( collect_b
@ ^ [X2: b] :
( ( A = X2 )
& ( P @ X2 ) ) )
= ( insert_b @ A @ bot_bot_set_b ) ) )
& ( ~ ( P @ A )
=> ( ( collect_b
@ ^ [X2: b] :
( ( A = X2 )
& ( P @ X2 ) ) )
= bot_bot_set_b ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_159_Collect__conv__if2) ).
thf(201,axiom,
! [B: b,A: b] :
( ( member_b @ B @ ( insert_b @ A @ bot_bot_set_b ) )
=> ( B = A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_157_singletonD) ).
thf(204,axiom,
! [B: b,A: b] :
( ( member_b @ B @ ( insert_b @ A @ bot_bot_set_b ) )
= ( B = A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_154_singleton__iff) ).
thf(207,axiom,
! [A: b,B: b,C: b,D: b] :
( ( ( insert_b @ A @ ( insert_b @ B @ bot_bot_set_b ) )
= ( insert_b @ C @ ( insert_b @ D @ bot_bot_set_b ) ) )
= ( ( ( A = C )
& ( B = D ) )
| ( ( A = D )
& ( B = C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_151_doubleton__eq__iff) ).
thf(209,axiom,
! [A: b,A2: set_b] :
( ( insert_b @ A @ A2 )
!= bot_bot_set_b ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_149_insert__not__empty) ).
thf(211,axiom,
! [A: b,B: b] :
( ( ( insert_b @ A @ bot_bot_set_b )
= ( insert_b @ B @ bot_bot_set_b ) )
=> ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_147_singleton__inject) ).
thf(212,axiom,
! [P: b > $o,A: b,Q: b > $o] :
( ( P @ A )
=> ( ! [X4: b] :
( ( P @ X4 )
=> ( Q @ X4 ) )
=> ( Q @ ( hilbert_Eps_b @ P ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_146_someI2) ).
thf(214,axiom,
! [P: b > $o,Q: b > $o] :
( ? [X_1: b] : ( P @ X_1 )
=> ( ! [X4: b] :
( ( P @ X4 )
=> ( Q @ X4 ) )
=> ( Q @ ( hilbert_Eps_b @ P ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_144_someI2__ex) ).
thf(215,axiom,
! [A2: set_b,P: b > $o,Q: b > $o] :
( ? [X5: b] :
( ( member_b @ X5 @ A2 )
& ( P @ X5 ) )
=> ( ! [X4: b] :
( ( ( member_b @ X4 @ A2 )
& ( P @ X4 ) )
=> ( Q @ X4 ) )
=> ( Q
@ ( hilbert_Eps_b
@ ^ [X2: b] :
( ( member_b @ X2 @ A2 )
& ( P @ X2 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_143_someI2__bex) ).
thf(218,axiom,
! [P: b > $o] :
( ( P @ ( hilbert_Eps_b @ P ) )
= ( ? [X6: b] : ( P @ X6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_140_some__eq__ex) ).
thf(219,axiom,
! [P: b > $o,A: b] :
( ? [X5: b] :
( ( P @ X5 )
& ! [Y3: b] :
( ( P @ Y3 )
=> ( Y3 = X5 ) ) )
=> ( ( P @ A )
=> ( ( hilbert_Eps_b @ P )
= A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_139_some1__equality) ).
thf(220,axiom,
( insert_b
= ( ^ [A3: b,B5: set_b] :
( collect_b
@ ^ [X2: b] :
( ( X2 = A3 )
| ( member_b @ X2 @ B5 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_138_insert__compr) ).
thf(223,axiom,
! [A: b,P: b > $o] :
( ( insert_b @ A @ ( collect_b @ P ) )
= ( collect_b
@ ^ [U: b] :
( ( U != A )
=> ( P @ U ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_135_insert__Collect) ).
thf(225,axiom,
( bot_bot_set_b
= ( collect_b
@ ^ [X2: b] : $false ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_133_empty__def) ).
thf(227,axiom,
! [P: b > $o,Q: b > $o] :
( ! [X4: b] :
( ( P @ X4 )
= ( Q @ X4 ) )
=> ( ( hilbert_Eps_b @ P )
= ( hilbert_Eps_b @ Q ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_131_Eps__cong) ).
thf(229,axiom,
! [A2: set_b] :
( ( collect_b
@ ^ [X2: b] : ( member_b @ X2 @ A2 ) )
= A2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_129_Collect__mem__eq) ).
thf(232,axiom,
! [A: b,P: b > $o] :
( ( member_b @ A @ ( collect_b @ P ) )
= ( P @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_126_mem__Collect__eq) ).
thf(236,axiom,
! [P: b > $o,A: b,B: b] :
( ( ( hilbert_Eps_b @ P )
= A )
=> ( ( P @ B )
=> ( P @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_122_some__eq__imp) ).
thf(239,axiom,
! [A: b,B: b,A2: set_b] :
( ( member_b @ A @ ( insert_b @ B @ A2 ) )
=> ( ( A != B )
=> ( member_b @ A @ A2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_119_insertE) ).
thf(242,axiom,
! [A: b,B2: set_b] : ( member_b @ A @ ( insert_b @ A @ B2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_116_insertI1) ).
thf(245,axiom,
! [A: b,B2: set_b,B: b] :
( ( member_b @ A @ B2 )
=> ( member_b @ A @ ( insert_b @ B @ B2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_113_insertI2) ).
thf(248,axiom,
! [X: b,A2: set_b] :
( ( member_b @ X @ A2 )
=> ~ ! [B4: set_b] :
( ( A2
= ( insert_b @ X @ B4 ) )
=> ( member_b @ X @ B4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_110_Set_Oset__insert) ).
thf(251,axiom,
! [X: b,A2: set_b,B2: set_b] :
( ~ ( member_b @ X @ A2 )
=> ( ~ ( member_b @ X @ B2 )
=> ( ( ( insert_b @ X @ A2 )
= ( insert_b @ X @ B2 ) )
= ( A2 = B2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_107_insert__ident) ).
thf(254,axiom,
! [A: b,A2: set_b] :
( ( member_b @ A @ A2 )
=> ( ( insert_b @ A @ A2 )
= A2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_104_insert__absorb) ).
thf(257,axiom,
! [A: b,A2: set_b,B: b,B2: set_b] :
( ~ ( member_b @ A @ A2 )
=> ( ~ ( member_b @ B @ B2 )
=> ( ( ( insert_b @ A @ A2 )
= ( insert_b @ B @ B2 ) )
= ( ( ( A = B )
=> ( A2 = B2 ) )
& ( ( A != B )
=> ? [C2: set_b] :
( ( A2
= ( insert_b @ B @ C2 ) )
& ~ ( member_b @ B @ C2 )
& ( B2
= ( insert_b @ A @ C2 ) )
& ~ ( member_b @ A @ C2 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_101_insert__eq__iff) ).
thf(258,axiom,
! [X: b,Y4: b,A2: set_b] :
( ( insert_b @ X @ ( insert_b @ Y4 @ A2 ) )
= ( insert_b @ Y4 @ ( insert_b @ X @ A2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_100_insert__commute) ).
thf(261,axiom,
! [A: b,A2: set_b] :
( ( member_b @ A @ A2 )
=> ? [B4: set_b] :
( ( A2
= ( insert_b @ A @ B4 ) )
& ~ ( member_b @ A @ B4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_97_mk__disjoint__insert) ).
thf(263,axiom,
! [A: b] :
~ ( member_b @ A @ bot_bot_set_b ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_95_emptyE) ).
thf(266,axiom,
! [A2: set_b,A: b] :
( ( A2 = bot_bot_set_b )
=> ~ ( member_b @ A @ A2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_92_equals0D) ).
thf(269,axiom,
! [A2: set_b] :
( ! [Y3: b] :
~ ( member_b @ Y3 @ A2 )
=> ( A2 = bot_bot_set_b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_89_equals0I) ).
thf(272,axiom,
! [A2: set_b] :
( ( ? [X2: b] : ( member_b @ X2 @ A2 ) )
= ( A2 != bot_bot_set_b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_86_ex__in__conv) ).
thf(319,axiom,
! [X: b] :
( ( hilbert_Eps_b
@ ( ^ [Y2: b,Z: b] : ( Y2 = Z )
@ X ) )
= X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_39_some__sym__eq__trivial) ).
thf(322,axiom,
! [A: b,B2: set_b,B: b] :
( ( ~ ( member_b @ A @ B2 )
=> ( A = B ) )
=> ( member_b @ A @ ( insert_b @ B @ B2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_36_insertCI) ).
thf(325,axiom,
! [A: b,B: b,A2: set_b] :
( ( member_b @ A @ ( insert_b @ B @ A2 ) )
= ( ( A = B )
| ( member_b @ A @ A2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_33_insert__iff) ).
thf(326,axiom,
! [X: b,A2: set_b] :
( ( insert_b @ X @ ( insert_b @ X @ A2 ) )
= ( insert_b @ X @ A2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_32_insert__absorb2) ).
thf(328,axiom,
! [C: b] :
~ ( member_b @ C @ bot_bot_set_b ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_30_empty__iff) ).
thf(331,axiom,
! [A2: set_b] :
( ( ! [X2: b] :
~ ( member_b @ X2 @ A2 ) )
= ( A2 = bot_bot_set_b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_27_all__not__in__conv) ).
thf(334,axiom,
! [P: b > $o] :
( ( ( collect_b @ P )
= bot_bot_set_b )
= ( ! [X2: b] :
~ ( P @ X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_24_Collect__empty__eq) ).
thf(336,axiom,
! [P: b > $o] :
( ( bot_bot_set_b
= ( collect_b @ P ) )
= ( ! [X2: b] :
~ ( P @ X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_22_empty__Collect__eq) ).
thf(337,axiom,
! [X: b] :
( ( hilbert_Eps_b
@ ^ [Y: b] : ( Y = X ) )
= X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_21_some__eq__trivial) ).
thf(338,axiom,
! [P: b > $o,A: b] :
( ( P @ A )
=> ( ! [X4: b] :
( ( P @ X4 )
=> ( X4 = A ) )
=> ( ( hilbert_Eps_b @ P )
= A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_20_some__equality) ).
thf(340,axiom,
! [A: b] : ( member_b @ A @ ( insert_b @ A @ bot_bot_set_b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_18_singletonI) ).
thf(345,axiom,
! [R: set_Product_prod_b_b] :
( ( image_b_b @ R @ bot_bot_set_b )
= bot_bot_set_b ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_13_Image__empty2) ).
thf(346,axiom,
! [X3: set_b] :
( ( image_b_b @ bot_bo1343651123od_b_b @ X3 )
= bot_bot_set_b ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_12_Image__empty1) ).
thf(347,axiom,
! [X: b,Z2: b] :
( ( collect_b
@ ^ [Y: b] :
( ( Y = X )
| ( Y = Z2 ) ) )
= ( insert_b @ X @ ( insert_b @ Z2 @ bot_bot_set_b ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_11_tuple__disj) ).
thf(349,axiom,
! [A: b] :
( ( collect_b
@ ( ^ [Y2: b,Z: b] : ( Y2 = Z )
@ A ) )
= ( insert_b @ A @ bot_bot_set_b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9_singleton__conv2) ).
thf(351,axiom,
! [A: b] :
( ( collect_b
@ ^ [X2: b] : ( X2 = A ) )
= ( insert_b @ A @ bot_bot_set_b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7_singleton__conv) ).
thf(355,axiom,
( p
= ( ^ [X2: b,Y: b] : ( member_b @ Y @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ X2 @ bot_bot_set_b ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_P) ).
thf(356,axiom,
! [X: b] :
( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ X @ bot_bot_set_b ) )
!= bot_bot_set_b )
=> ( ( hilbert_Eps_b @ ( p @ ( hilbert_Eps_b @ ( p @ X ) ) ) )
= ( hilbert_Eps_b @ ( p @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_P__eq) ).
thf(357,axiom,
( g
= ( restri446606278nt_a_b @ g ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_assms_I1_J) ).
thf(358,axiom,
( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) )
= ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ y @ bot_bot_set_b ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0__092_060open_062getRel_AS__Idt_AG_A_096_096_A_123x_125_A_061_AgetRel_AS__Idt_AG_A_096_096_A_123y_125_092_060close_062) ).
thf(359,conjecture,
( ( hilbert_Eps_b
@ ^ [Y: b] : ( member_b @ Y @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) ) ) )
= ( hilbert_Eps_b
@ ^ [Y: b] : ( member_b @ Y @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ y @ bot_bot_set_b ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(360,negated_conjecture,
( ( ( hilbert_Eps_b
@ ^ [Y: b] : ( member_b @ Y @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) ) ) )
= ( hilbert_Eps_b
@ ^ [Y: b] : ( member_b @ Y @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ y @ bot_bot_set_b ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[359]) ).
thf(361,plain,
( ( ( hilbert_Eps_b
@ ^ [Y: b] : ( member_b @ Y @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) ) ) )
= ( hilbert_Eps_b
@ ^ [Y: b] : ( member_b @ Y @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ y @ bot_bot_set_b ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[360]) ).
thf(362,plain,
( ( ! [P: $o] :
( ( P = $true )
| ( P = $false ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(363,plain,
( ( ! [X3: set_b,A: b] :
( ( ord_less_eq_set_b @ X3 @ ( insert_b @ A @ bot_bot_set_b ) )
= ( ( X3 = bot_bot_set_b )
| ( X3
= ( insert_b @ A @ bot_bot_set_b ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(364,plain,
( ( ! [A2: set_b,B2: set_b,B: b] :
( ( ord_less_eq_set_b @ A2 @ B2 )
=> ( ord_less_eq_set_b @ A2 @ ( insert_b @ B @ B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(365,plain,
( ( ! [B2: set_b,A: b] : ( ord_less_eq_set_b @ B2 @ ( insert_b @ A @ B2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(366,plain,
( ( ! [X: b,A2: set_b,B2: set_b] :
( ~ ( member_b @ X @ A2 )
=> ( ( ord_less_eq_set_b @ A2 @ ( insert_b @ X @ B2 ) )
= ( ord_less_eq_set_b @ A2 @ B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(367,plain,
( ( ! [C4: set_b,D2: set_b,A: b] :
( ( ord_less_eq_set_b @ C4 @ D2 )
=> ( ord_less_eq_set_b @ ( insert_b @ A @ C4 ) @ ( insert_b @ A @ D2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(368,plain,
( ( ! [A: set_b] : ( ord_less_eq_set_b @ bot_bot_set_b @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(369,plain,
( ( ! [A: set_b] :
( ( ord_less_eq_set_b @ A @ bot_bot_set_b )
= ( A = bot_bot_set_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(370,plain,
( ( ! [A: set_b] :
( ( ord_less_eq_set_b @ A @ bot_bot_set_b )
=> ( A = bot_bot_set_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(371,plain,
( ( ! [A2: set_b,B2: set_b,X: b] :
( ( ord_less_eq_set_b @ A2 @ B2 )
=> ( ( member_b @ X @ A2 )
=> ( member_b @ X @ B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(372,plain,
( ( ! [A2: set_b,B2: set_b,C: b] :
( ( ord_less_eq_set_b @ A2 @ B2 )
=> ( ( member_b @ C @ A2 )
=> ( member_b @ C @ B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(373,plain,
( ( ord_less_eq_set_b
= ( ^ [A6: set_b,B5: set_b] :
! [X2: b] :
( ( member_b @ X2 @ A6 )
=> ( member_b @ X2 @ B5 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(374,plain,
( ( ord_less_eq_set_b
= ( ^ [A6: set_b,B5: set_b] :
! [T: b] :
( ( member_b @ T @ A6 )
=> ( member_b @ T @ B5 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(375,plain,
( ( ! [B: b,A: b,A2: set_b] :
( ( ( insert_b @ B @ bot_bot_set_b )
= ( insert_b @ A @ A2 ) )
= ( ( A = B )
& ( ord_less_eq_set_b @ A2 @ ( insert_b @ B @ bot_bot_set_b ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(376,plain,
( ( ! [A: b,A2: set_b,B: b] :
( ( ( insert_b @ A @ A2 )
= ( insert_b @ B @ bot_bot_set_b ) )
= ( ( A = B )
& ( ord_less_eq_set_b @ A2 @ ( insert_b @ B @ bot_bot_set_b ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(377,plain,
( ( ! [X: b,A2: set_b,B2: set_b] :
( ( ord_less_eq_set_b @ ( insert_b @ X @ A2 ) @ B2 )
= ( ( member_b @ X @ B2 )
& ( ord_less_eq_set_b @ A2 @ B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(378,plain,
( ( ! [A2: set_b] :
( ( ord_less_eq_set_b @ A2 @ bot_bot_set_b )
= ( A2 = bot_bot_set_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(379,plain,
( ( ! [A2: set_b] : ( ord_less_eq_set_b @ bot_bot_set_b @ A2 ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(380,plain,
( ( ! [A2: set_b,B2: set_b] :
( ! [X4: b] :
( ( member_b @ X4 @ A2 )
=> ( member_b @ X4 @ B2 ) )
=> ( ord_less_eq_set_b @ A2 @ B2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[53]) ).
thf(381,plain,
( ( equiv_proj_b_b
= ( ^ [R3: set_Product_prod_b_b,X2: b] : ( image_b_b @ R3 @ ( insert_b @ X2 @ bot_bot_set_b ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[56]) ).
thf(382,plain,
( ( ! [R2: set_Product_prod_b_b] : ( total_on_b @ bot_bot_set_b @ R2 ) )
= $true ),
inference(unfold_def,[status(thm)],[73]) ).
thf(383,plain,
( ( ! [A2: set_b,R2: set_Product_prod_b_b,A: b] :
( ( equiv_equiv_b @ A2 @ R2 )
=> ( ( member_b @ A @ A2 )
=> ( member_b @ A @ ( image_b_b @ R2 @ ( insert_b @ A @ bot_bot_set_b ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[90]) ).
thf(384,plain,
( ( ! [A2: set_b] :
( ( is_singleton_b @ A2 )
=> ~ ! [X4: b] :
( A2
!= ( insert_b @ X4 @ bot_bot_set_b ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[106]) ).
thf(385,plain,
( ( is_singleton_b
= ( ^ [A6: set_b] :
? [X2: b] :
( A6
= ( insert_b @ X2 @ bot_bot_set_b ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[108]) ).
thf(386,plain,
( ( ! [A2: set_b] :
( ( A2 != bot_bot_set_b )
=> ( ! [X4: b,Y3: b] :
( ( member_b @ X4 @ A2 )
=> ( ( member_b @ Y3 @ A2 )
=> ( X4 = Y3 ) ) )
=> ( is_singleton_b @ A2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[112]) ).
thf(387,plain,
( ( ! [X: b] : ( is_singleton_b @ ( insert_b @ X @ bot_bot_set_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[126]) ).
thf(388,plain,
( ( bot_bot_b_o
= ( ^ [X2: b] : ( member_b @ X2 @ bot_bot_set_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[149]) ).
thf(389,plain,
( ( ! [X: b] :
( ( the_elem_b @ ( insert_b @ X @ bot_bot_set_b ) )
= X ) )
= $true ),
inference(unfold_def,[status(thm)],[185]) ).
thf(390,plain,
( ( ! [X: b] :
( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ X @ bot_bot_set_b ) )
= bot_bot_set_b )
= ( ~ ( member_b @ X @ ( labele1424214014nt_a_b @ g ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[188]) ).
thf(391,plain,
( ( ! [A2: set_b] :
( ( member_b
@ ( hilbert_Eps_b
@ ^ [X2: b] : ( member_b @ X2 @ A2 ) )
@ A2 )
= ( A2 != bot_bot_set_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[194]) ).
thf(392,plain,
( ( ! [P: b > $o,A: b] :
( ( ( P @ A )
=> ( ( collect_b
@ ^ [X2: b] :
( ( X2 = A )
& ( P @ X2 ) ) )
= ( insert_b @ A @ bot_bot_set_b ) ) )
& ( ~ ( P @ A )
=> ( ( collect_b
@ ^ [X2: b] :
( ( X2 = A )
& ( P @ X2 ) ) )
= bot_bot_set_b ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[197]) ).
thf(393,plain,
( ( ! [P: b > $o,A: b] :
( ( ( P @ A )
=> ( ( collect_b
@ ^ [X2: b] :
( ( A = X2 )
& ( P @ X2 ) ) )
= ( insert_b @ A @ bot_bot_set_b ) ) )
& ( ~ ( P @ A )
=> ( ( collect_b
@ ^ [X2: b] :
( ( A = X2 )
& ( P @ X2 ) ) )
= bot_bot_set_b ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[199]) ).
thf(394,plain,
( ( ! [B: b,A: b] :
( ( member_b @ B @ ( insert_b @ A @ bot_bot_set_b ) )
=> ( B = A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[201]) ).
thf(395,plain,
( ( ! [B: b,A: b] :
( ( member_b @ B @ ( insert_b @ A @ bot_bot_set_b ) )
= ( B = A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[204]) ).
thf(396,plain,
( ( ! [A: b,B: b,C: b,D: b] :
( ( ( insert_b @ A @ ( insert_b @ B @ bot_bot_set_b ) )
= ( insert_b @ C @ ( insert_b @ D @ bot_bot_set_b ) ) )
= ( ( ( A = C )
& ( B = D ) )
| ( ( A = D )
& ( B = C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[207]) ).
thf(397,plain,
( ( ! [A: b,A2: set_b] :
( ( insert_b @ A @ A2 )
!= bot_bot_set_b ) )
= $true ),
inference(unfold_def,[status(thm)],[209]) ).
thf(398,plain,
( ( ! [A: b,B: b] :
( ( ( insert_b @ A @ bot_bot_set_b )
= ( insert_b @ B @ bot_bot_set_b ) )
=> ( A = B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[211]) ).
thf(399,plain,
( ( ! [P: b > $o,A: b,Q: b > $o] :
( ( P @ A )
=> ( ! [X4: b] :
( ( P @ X4 )
=> ( Q @ X4 ) )
=> ( Q @ ( hilbert_Eps_b @ P ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[212]) ).
thf(401,plain,
( ( ! [P: b > $o,Q: b > $o] :
( ? [X_1: b] : ( P @ X_1 )
=> ( ! [X4: b] :
( ( P @ X4 )
=> ( Q @ X4 ) )
=> ( Q @ ( hilbert_Eps_b @ P ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[214]) ).
thf(402,plain,
( ( ! [A2: set_b,P: b > $o,Q: b > $o] :
( ? [X5: b] :
( ( member_b @ X5 @ A2 )
& ( P @ X5 ) )
=> ( ! [X4: b] :
( ( ( member_b @ X4 @ A2 )
& ( P @ X4 ) )
=> ( Q @ X4 ) )
=> ( Q
@ ( hilbert_Eps_b
@ ^ [X2: b] :
( ( member_b @ X2 @ A2 )
& ( P @ X2 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[215]) ).
thf(403,plain,
( ( ! [P: b > $o] :
( ( P @ ( hilbert_Eps_b @ P ) )
= ( ? [X6: b] : ( P @ X6 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[218]) ).
thf(404,plain,
( ( ! [P: b > $o,A: b] :
( ? [X5: b] :
( ( P @ X5 )
& ! [Y3: b] :
( ( P @ Y3 )
=> ( Y3 = X5 ) ) )
=> ( ( P @ A )
=> ( ( hilbert_Eps_b @ P )
= A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[219]) ).
thf(405,plain,
( ( insert_b
= ( ^ [A3: b,B5: set_b] :
( collect_b
@ ^ [X2: b] :
( ( X2 = A3 )
| ( member_b @ X2 @ B5 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[220]) ).
thf(406,plain,
( ( ! [A: b,P: b > $o] :
( ( insert_b @ A @ ( collect_b @ P ) )
= ( collect_b
@ ^ [U: b] :
( ( U != A )
=> ( P @ U ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[223]) ).
thf(407,plain,
( ( bot_bot_set_b
= ( collect_b
@ ^ [X2: b] : $false ) )
= $true ),
inference(unfold_def,[status(thm)],[225]) ).
thf(409,plain,
( ( ! [P: b > $o,Q: b > $o] :
( ! [X4: b] :
( ( P @ X4 )
= ( Q @ X4 ) )
=> ( ( hilbert_Eps_b @ P )
= ( hilbert_Eps_b @ Q ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[227]) ).
thf(410,plain,
( ( ! [A2: set_b] :
( ( collect_b
@ ^ [X2: b] : ( member_b @ X2 @ A2 ) )
= A2 ) )
= $true ),
inference(unfold_def,[status(thm)],[229]) ).
thf(411,plain,
( ( ! [A: b,P: b > $o] :
( ( member_b @ A @ ( collect_b @ P ) )
= ( P @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[232]) ).
thf(413,plain,
( ( ! [P: b > $o,A: b,B: b] :
( ( ( hilbert_Eps_b @ P )
= A )
=> ( ( P @ B )
=> ( P @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[236]) ).
thf(414,plain,
( ( ! [A: b,B: b,A2: set_b] :
( ( member_b @ A @ ( insert_b @ B @ A2 ) )
=> ( ( A != B )
=> ( member_b @ A @ A2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[239]) ).
thf(415,plain,
( ( ! [A: b,B2: set_b] : ( member_b @ A @ ( insert_b @ A @ B2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[242]) ).
thf(416,plain,
( ( ! [A: b,B2: set_b,B: b] :
( ( member_b @ A @ B2 )
=> ( member_b @ A @ ( insert_b @ B @ B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[245]) ).
thf(417,plain,
( ( ! [X: b,A2: set_b] :
( ( member_b @ X @ A2 )
=> ~ ! [B4: set_b] :
( ( A2
= ( insert_b @ X @ B4 ) )
=> ( member_b @ X @ B4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[248]) ).
thf(418,plain,
( ( ! [X: b,A2: set_b,B2: set_b] :
( ~ ( member_b @ X @ A2 )
=> ( ~ ( member_b @ X @ B2 )
=> ( ( ( insert_b @ X @ A2 )
= ( insert_b @ X @ B2 ) )
= ( A2 = B2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[251]) ).
thf(419,plain,
( ( ! [A: b,A2: set_b] :
( ( member_b @ A @ A2 )
=> ( ( insert_b @ A @ A2 )
= A2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[254]) ).
thf(420,plain,
( ( ! [A: b,A2: set_b,B: b,B2: set_b] :
( ~ ( member_b @ A @ A2 )
=> ( ~ ( member_b @ B @ B2 )
=> ( ( ( insert_b @ A @ A2 )
= ( insert_b @ B @ B2 ) )
= ( ( ( A = B )
=> ( A2 = B2 ) )
& ( ( A != B )
=> ? [C2: set_b] :
( ( A2
= ( insert_b @ B @ C2 ) )
& ~ ( member_b @ B @ C2 )
& ( B2
= ( insert_b @ A @ C2 ) )
& ~ ( member_b @ A @ C2 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[257]) ).
thf(421,plain,
( ( ! [X: b,Y4: b,A2: set_b] :
( ( insert_b @ X @ ( insert_b @ Y4 @ A2 ) )
= ( insert_b @ Y4 @ ( insert_b @ X @ A2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[258]) ).
thf(422,plain,
( ( ! [A: b,A2: set_b] :
( ( member_b @ A @ A2 )
=> ? [B4: set_b] :
( ( A2
= ( insert_b @ A @ B4 ) )
& ~ ( member_b @ A @ B4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[261]) ).
thf(423,plain,
( ( ! [A: b] :
~ ( member_b @ A @ bot_bot_set_b ) )
= $true ),
inference(unfold_def,[status(thm)],[263]) ).
thf(424,plain,
( ( ! [A2: set_b,A: b] :
( ( A2 = bot_bot_set_b )
=> ~ ( member_b @ A @ A2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[266]) ).
thf(425,plain,
( ( ! [A2: set_b] :
( ! [Y3: b] :
~ ( member_b @ Y3 @ A2 )
=> ( A2 = bot_bot_set_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[269]) ).
thf(426,plain,
( ( ! [A2: set_b] :
( ( ? [X2: b] : ( member_b @ X2 @ A2 ) )
= ( A2 != bot_bot_set_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[272]) ).
thf(427,plain,
( ( ! [SY161: b] :
( ( hilbert_Eps_b
@ ^ [SY162: b] : ( SY161 = SY162 ) )
= SY161 ) )
= $true ),
inference(unfold_def,[status(thm)],[319]) ).
thf(428,plain,
( ( ! [A: b,B2: set_b,B: b] :
( ( ~ ( member_b @ A @ B2 )
=> ( A = B ) )
=> ( member_b @ A @ ( insert_b @ B @ B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[322]) ).
thf(429,plain,
( ( ! [A: b,B: b,A2: set_b] :
( ( member_b @ A @ ( insert_b @ B @ A2 ) )
= ( ( A = B )
| ( member_b @ A @ A2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[325]) ).
thf(430,plain,
( ( ! [X: b,A2: set_b] :
( ( insert_b @ X @ ( insert_b @ X @ A2 ) )
= ( insert_b @ X @ A2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[326]) ).
thf(431,plain,
( ( ! [C: b] :
~ ( member_b @ C @ bot_bot_set_b ) )
= $true ),
inference(unfold_def,[status(thm)],[328]) ).
thf(432,plain,
( ( ! [A2: set_b] :
( ( ! [X2: b] :
~ ( member_b @ X2 @ A2 ) )
= ( A2 = bot_bot_set_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[331]) ).
thf(433,plain,
( ( ! [P: b > $o] :
( ( ( collect_b @ P )
= bot_bot_set_b )
= ( ! [X2: b] :
~ ( P @ X2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[334]) ).
thf(434,plain,
( ( ! [P: b > $o] :
( ( bot_bot_set_b
= ( collect_b @ P ) )
= ( ! [X2: b] :
~ ( P @ X2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[336]) ).
thf(435,plain,
( ( ! [X: b] :
( ( hilbert_Eps_b
@ ^ [Y: b] : ( Y = X ) )
= X ) )
= $true ),
inference(unfold_def,[status(thm)],[337]) ).
thf(436,plain,
( ( ! [P: b > $o,A: b] :
( ( P @ A )
=> ( ! [X4: b] :
( ( P @ X4 )
=> ( X4 = A ) )
=> ( ( hilbert_Eps_b @ P )
= A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[338]) ).
thf(437,plain,
( ( ! [A: b] : ( member_b @ A @ ( insert_b @ A @ bot_bot_set_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[340]) ).
thf(438,plain,
( ( ! [R: set_Product_prod_b_b] :
( ( image_b_b @ R @ bot_bot_set_b )
= bot_bot_set_b ) )
= $true ),
inference(unfold_def,[status(thm)],[345]) ).
thf(439,plain,
( ( ! [X3: set_b] :
( ( image_b_b @ bot_bo1343651123od_b_b @ X3 )
= bot_bot_set_b ) )
= $true ),
inference(unfold_def,[status(thm)],[346]) ).
thf(440,plain,
( ( ! [X: b,Z2: b] :
( ( collect_b
@ ^ [Y: b] :
( ( Y = X )
| ( Y = Z2 ) ) )
= ( insert_b @ X @ ( insert_b @ Z2 @ bot_bot_set_b ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[347]) ).
thf(441,plain,
( ( ! [SY191: b] :
( ( collect_b
@ ^ [SY192: b] : ( SY191 = SY192 ) )
= ( insert_b @ SY191 @ bot_bot_set_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[349]) ).
thf(442,plain,
( ( ! [A: b] :
( ( collect_b
@ ^ [X2: b] : ( X2 = A ) )
= ( insert_b @ A @ bot_bot_set_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[351]) ).
thf(443,plain,
( ( p
= ( ^ [X2: b,Y: b] : ( member_b @ Y @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ X2 @ bot_bot_set_b ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[355]) ).
thf(444,plain,
( ( ! [X: b] :
( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ X @ bot_bot_set_b ) )
!= bot_bot_set_b )
=> ( ( hilbert_Eps_b @ ( p @ ( hilbert_Eps_b @ ( p @ X ) ) ) )
= ( hilbert_Eps_b @ ( p @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[356]) ).
thf(445,plain,
( ( g
= ( restri446606278nt_a_b @ g ) )
= $true ),
inference(unfold_def,[status(thm)],[357]) ).
thf(446,plain,
( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) )
= ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ y @ bot_bot_set_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[358]) ).
thf(447,plain,
( ( ( hilbert_Eps_b
@ ^ [Y: b] : ( member_b @ Y @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) ) ) )
!= ( hilbert_Eps_b
@ ^ [Y: b] : ( member_b @ Y @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ y @ bot_bot_set_b ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[361]) ).
thf(448,plain,
( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) )
= ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ y @ bot_bot_set_b ) ) )
= $true ),
inference(copy,[status(thm)],[446]) ).
thf(449,plain,
( ( g
= ( restri446606278nt_a_b @ g ) )
= $true ),
inference(copy,[status(thm)],[445]) ).
thf(450,plain,
( ( ! [X: b] :
( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ X @ bot_bot_set_b ) )
!= bot_bot_set_b )
=> ( ( hilbert_Eps_b @ ( p @ ( hilbert_Eps_b @ ( p @ X ) ) ) )
= ( hilbert_Eps_b @ ( p @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[444]) ).
thf(451,plain,
( ( p
= ( ^ [X2: b,Y: b] : ( member_b @ Y @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ X2 @ bot_bot_set_b ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[443]) ).
thf(452,plain,
( ( ! [A: b] :
( ( collect_b
@ ^ [X2: b] : ( X2 = A ) )
= ( insert_b @ A @ bot_bot_set_b ) ) )
= $true ),
inference(copy,[status(thm)],[442]) ).
thf(453,plain,
( ( ! [SY191: b] :
( ( collect_b
@ ^ [SY192: b] : ( SY191 = SY192 ) )
= ( insert_b @ SY191 @ bot_bot_set_b ) ) )
= $true ),
inference(copy,[status(thm)],[441]) ).
thf(454,plain,
( ( ! [X: b,Z2: b] :
( ( collect_b
@ ^ [Y: b] :
( ( Y = X )
| ( Y = Z2 ) ) )
= ( insert_b @ X @ ( insert_b @ Z2 @ bot_bot_set_b ) ) ) )
= $true ),
inference(copy,[status(thm)],[440]) ).
thf(455,plain,
( ( ! [X3: set_b] :
( ( image_b_b @ bot_bo1343651123od_b_b @ X3 )
= bot_bot_set_b ) )
= $true ),
inference(copy,[status(thm)],[439]) ).
thf(456,plain,
( ( ! [R: set_Product_prod_b_b] :
( ( image_b_b @ R @ bot_bot_set_b )
= bot_bot_set_b ) )
= $true ),
inference(copy,[status(thm)],[438]) ).
thf(457,plain,
( ( ! [A: b] : ( member_b @ A @ ( insert_b @ A @ bot_bot_set_b ) ) )
= $true ),
inference(copy,[status(thm)],[437]) ).
thf(458,plain,
( ( ! [P: b > $o,A: b] :
( ( P @ A )
=> ( ! [X4: b] :
( ( P @ X4 )
=> ( X4 = A ) )
=> ( ( hilbert_Eps_b @ P )
= A ) ) ) )
= $true ),
inference(copy,[status(thm)],[436]) ).
thf(459,plain,
( ( ! [X: b] :
( ( hilbert_Eps_b
@ ^ [Y: b] : ( Y = X ) )
= X ) )
= $true ),
inference(copy,[status(thm)],[435]) ).
thf(460,plain,
( ( ! [P: b > $o] :
( ( bot_bot_set_b
= ( collect_b @ P ) )
= ( ! [X2: b] :
~ ( P @ X2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[434]) ).
thf(461,plain,
( ( ! [P: b > $o] :
( ( ( collect_b @ P )
= bot_bot_set_b )
= ( ! [X2: b] :
~ ( P @ X2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[433]) ).
thf(462,plain,
( ( ! [A2: set_b] :
( ( ! [X2: b] :
~ ( member_b @ X2 @ A2 ) )
= ( A2 = bot_bot_set_b ) ) )
= $true ),
inference(copy,[status(thm)],[432]) ).
thf(463,plain,
( ( ! [C: b] :
~ ( member_b @ C @ bot_bot_set_b ) )
= $true ),
inference(copy,[status(thm)],[431]) ).
thf(464,plain,
( ( ! [X: b,A2: set_b] :
( ( insert_b @ X @ ( insert_b @ X @ A2 ) )
= ( insert_b @ X @ A2 ) ) )
= $true ),
inference(copy,[status(thm)],[430]) ).
thf(465,plain,
( ( ! [A: b,B: b,A2: set_b] :
( ( member_b @ A @ ( insert_b @ B @ A2 ) )
= ( ( A = B )
| ( member_b @ A @ A2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[429]) ).
thf(466,plain,
( ( ! [A: b,B2: set_b,B: b] :
( ( ~ ( member_b @ A @ B2 )
=> ( A = B ) )
=> ( member_b @ A @ ( insert_b @ B @ B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[428]) ).
thf(467,plain,
( ( ! [SY161: b] :
( ( hilbert_Eps_b
@ ^ [SY162: b] : ( SY161 = SY162 ) )
= SY161 ) )
= $true ),
inference(copy,[status(thm)],[427]) ).
thf(468,plain,
( ( ! [A2: set_b] :
( ( ? [X2: b] : ( member_b @ X2 @ A2 ) )
= ( A2 != bot_bot_set_b ) ) )
= $true ),
inference(copy,[status(thm)],[426]) ).
thf(469,plain,
( ( ! [A2: set_b] :
( ! [Y3: b] :
~ ( member_b @ Y3 @ A2 )
=> ( A2 = bot_bot_set_b ) ) )
= $true ),
inference(copy,[status(thm)],[425]) ).
thf(470,plain,
( ( ! [A2: set_b,A: b] :
( ( A2 = bot_bot_set_b )
=> ~ ( member_b @ A @ A2 ) ) )
= $true ),
inference(copy,[status(thm)],[424]) ).
thf(471,plain,
( ( ! [A: b] :
~ ( member_b @ A @ bot_bot_set_b ) )
= $true ),
inference(copy,[status(thm)],[423]) ).
thf(472,plain,
( ( ! [A: b,A2: set_b] :
( ( member_b @ A @ A2 )
=> ? [B4: set_b] :
( ( A2
= ( insert_b @ A @ B4 ) )
& ~ ( member_b @ A @ B4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[422]) ).
thf(473,plain,
( ( ! [X: b,Y4: b,A2: set_b] :
( ( insert_b @ X @ ( insert_b @ Y4 @ A2 ) )
= ( insert_b @ Y4 @ ( insert_b @ X @ A2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[421]) ).
thf(474,plain,
( ( ! [A: b,A2: set_b,B: b,B2: set_b] :
( ~ ( member_b @ A @ A2 )
=> ( ~ ( member_b @ B @ B2 )
=> ( ( ( insert_b @ A @ A2 )
= ( insert_b @ B @ B2 ) )
= ( ( ( A = B )
=> ( A2 = B2 ) )
& ( ( A != B )
=> ? [C2: set_b] :
( ( A2
= ( insert_b @ B @ C2 ) )
& ~ ( member_b @ B @ C2 )
& ( B2
= ( insert_b @ A @ C2 ) )
& ~ ( member_b @ A @ C2 ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[420]) ).
thf(475,plain,
( ( ! [A: b,A2: set_b] :
( ( member_b @ A @ A2 )
=> ( ( insert_b @ A @ A2 )
= A2 ) ) )
= $true ),
inference(copy,[status(thm)],[419]) ).
thf(476,plain,
( ( ! [X: b,A2: set_b,B2: set_b] :
( ~ ( member_b @ X @ A2 )
=> ( ~ ( member_b @ X @ B2 )
=> ( ( ( insert_b @ X @ A2 )
= ( insert_b @ X @ B2 ) )
= ( A2 = B2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[418]) ).
thf(477,plain,
( ( ! [X: b,A2: set_b] :
( ( member_b @ X @ A2 )
=> ~ ! [B4: set_b] :
( ( A2
= ( insert_b @ X @ B4 ) )
=> ( member_b @ X @ B4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[417]) ).
thf(478,plain,
( ( ! [A: b,B2: set_b,B: b] :
( ( member_b @ A @ B2 )
=> ( member_b @ A @ ( insert_b @ B @ B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[416]) ).
thf(479,plain,
( ( ! [A: b,B2: set_b] : ( member_b @ A @ ( insert_b @ A @ B2 ) ) )
= $true ),
inference(copy,[status(thm)],[415]) ).
thf(480,plain,
( ( ! [A: b,B: b,A2: set_b] :
( ( member_b @ A @ ( insert_b @ B @ A2 ) )
=> ( ( A != B )
=> ( member_b @ A @ A2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[414]) ).
thf(481,plain,
( ( ! [P: b > $o,A: b,B: b] :
( ( ( hilbert_Eps_b @ P )
= A )
=> ( ( P @ B )
=> ( P @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[413]) ).
thf(483,plain,
( ( ! [A: b,P: b > $o] :
( ( member_b @ A @ ( collect_b @ P ) )
= ( P @ A ) ) )
= $true ),
inference(copy,[status(thm)],[411]) ).
thf(484,plain,
( ( ! [A2: set_b] :
( ( collect_b
@ ^ [X2: b] : ( member_b @ X2 @ A2 ) )
= A2 ) )
= $true ),
inference(copy,[status(thm)],[410]) ).
thf(485,plain,
( ( ! [P: b > $o,Q: b > $o] :
( ! [X4: b] :
( ( P @ X4 )
= ( Q @ X4 ) )
=> ( ( hilbert_Eps_b @ P )
= ( hilbert_Eps_b @ Q ) ) ) )
= $true ),
inference(copy,[status(thm)],[409]) ).
thf(487,plain,
( ( bot_bot_set_b
= ( collect_b
@ ^ [X2: b] : $false ) )
= $true ),
inference(copy,[status(thm)],[407]) ).
thf(488,plain,
( ( ! [A: b,P: b > $o] :
( ( insert_b @ A @ ( collect_b @ P ) )
= ( collect_b
@ ^ [U: b] :
( ( U != A )
=> ( P @ U ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[406]) ).
thf(489,plain,
( ( insert_b
= ( ^ [A3: b,B5: set_b] :
( collect_b
@ ^ [X2: b] :
( ( X2 = A3 )
| ( member_b @ X2 @ B5 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[405]) ).
thf(490,plain,
( ( ! [P: b > $o,A: b] :
( ? [X5: b] :
( ( P @ X5 )
& ! [Y3: b] :
( ( P @ Y3 )
=> ( Y3 = X5 ) ) )
=> ( ( P @ A )
=> ( ( hilbert_Eps_b @ P )
= A ) ) ) )
= $true ),
inference(copy,[status(thm)],[404]) ).
thf(491,plain,
( ( ! [P: b > $o] :
( ( P @ ( hilbert_Eps_b @ P ) )
= ( ? [X6: b] : ( P @ X6 ) ) ) )
= $true ),
inference(copy,[status(thm)],[403]) ).
thf(492,plain,
( ( ! [A2: set_b,P: b > $o,Q: b > $o] :
( ? [X5: b] :
( ( member_b @ X5 @ A2 )
& ( P @ X5 ) )
=> ( ! [X4: b] :
( ( ( member_b @ X4 @ A2 )
& ( P @ X4 ) )
=> ( Q @ X4 ) )
=> ( Q
@ ( hilbert_Eps_b
@ ^ [X2: b] :
( ( member_b @ X2 @ A2 )
& ( P @ X2 ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[402]) ).
thf(493,plain,
( ( ! [P: b > $o,Q: b > $o] :
( ? [X_1: b] : ( P @ X_1 )
=> ( ! [X4: b] :
( ( P @ X4 )
=> ( Q @ X4 ) )
=> ( Q @ ( hilbert_Eps_b @ P ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[401]) ).
thf(495,plain,
( ( ! [P: b > $o,A: b,Q: b > $o] :
( ( P @ A )
=> ( ! [X4: b] :
( ( P @ X4 )
=> ( Q @ X4 ) )
=> ( Q @ ( hilbert_Eps_b @ P ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[399]) ).
thf(496,plain,
( ( ! [A: b,B: b] :
( ( ( insert_b @ A @ bot_bot_set_b )
= ( insert_b @ B @ bot_bot_set_b ) )
=> ( A = B ) ) )
= $true ),
inference(copy,[status(thm)],[398]) ).
thf(497,plain,
( ( ! [A: b,A2: set_b] :
( ( insert_b @ A @ A2 )
!= bot_bot_set_b ) )
= $true ),
inference(copy,[status(thm)],[397]) ).
thf(498,plain,
( ( ! [A: b,B: b,C: b,D: b] :
( ( ( insert_b @ A @ ( insert_b @ B @ bot_bot_set_b ) )
= ( insert_b @ C @ ( insert_b @ D @ bot_bot_set_b ) ) )
= ( ( ( A = C )
& ( B = D ) )
| ( ( A = D )
& ( B = C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[396]) ).
thf(499,plain,
( ( ! [B: b,A: b] :
( ( member_b @ B @ ( insert_b @ A @ bot_bot_set_b ) )
= ( B = A ) ) )
= $true ),
inference(copy,[status(thm)],[395]) ).
thf(500,plain,
( ( ! [B: b,A: b] :
( ( member_b @ B @ ( insert_b @ A @ bot_bot_set_b ) )
=> ( B = A ) ) )
= $true ),
inference(copy,[status(thm)],[394]) ).
thf(501,plain,
( ( ! [P: b > $o,A: b] :
( ( ( P @ A )
=> ( ( collect_b
@ ^ [X2: b] :
( ( A = X2 )
& ( P @ X2 ) ) )
= ( insert_b @ A @ bot_bot_set_b ) ) )
& ( ~ ( P @ A )
=> ( ( collect_b
@ ^ [X2: b] :
( ( A = X2 )
& ( P @ X2 ) ) )
= bot_bot_set_b ) ) ) )
= $true ),
inference(copy,[status(thm)],[393]) ).
thf(502,plain,
( ( ! [P: b > $o,A: b] :
( ( ( P @ A )
=> ( ( collect_b
@ ^ [X2: b] :
( ( X2 = A )
& ( P @ X2 ) ) )
= ( insert_b @ A @ bot_bot_set_b ) ) )
& ( ~ ( P @ A )
=> ( ( collect_b
@ ^ [X2: b] :
( ( X2 = A )
& ( P @ X2 ) ) )
= bot_bot_set_b ) ) ) )
= $true ),
inference(copy,[status(thm)],[392]) ).
thf(503,plain,
( ( ! [A2: set_b] :
( ( member_b
@ ( hilbert_Eps_b
@ ^ [X2: b] : ( member_b @ X2 @ A2 ) )
@ A2 )
= ( A2 != bot_bot_set_b ) ) )
= $true ),
inference(copy,[status(thm)],[391]) ).
thf(504,plain,
( ( ! [X: b] :
( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ X @ bot_bot_set_b ) )
= bot_bot_set_b )
= ( ~ ( member_b @ X @ ( labele1424214014nt_a_b @ g ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[390]) ).
thf(505,plain,
( ( ! [X: b] :
( ( the_elem_b @ ( insert_b @ X @ bot_bot_set_b ) )
= X ) )
= $true ),
inference(copy,[status(thm)],[389]) ).
thf(506,plain,
( ( bot_bot_b_o
= ( ^ [X2: b] : ( member_b @ X2 @ bot_bot_set_b ) ) )
= $true ),
inference(copy,[status(thm)],[388]) ).
thf(507,plain,
( ( ! [X: b] : ( is_singleton_b @ ( insert_b @ X @ bot_bot_set_b ) ) )
= $true ),
inference(copy,[status(thm)],[387]) ).
thf(508,plain,
( ( ! [A2: set_b] :
( ( A2 != bot_bot_set_b )
=> ( ! [X4: b,Y3: b] :
( ( member_b @ X4 @ A2 )
=> ( ( member_b @ Y3 @ A2 )
=> ( X4 = Y3 ) ) )
=> ( is_singleton_b @ A2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[386]) ).
thf(509,plain,
( ( is_singleton_b
= ( ^ [A6: set_b] :
? [X2: b] :
( A6
= ( insert_b @ X2 @ bot_bot_set_b ) ) ) )
= $true ),
inference(copy,[status(thm)],[385]) ).
thf(510,plain,
( ( ! [A2: set_b] :
( ( is_singleton_b @ A2 )
=> ~ ! [X4: b] :
( A2
!= ( insert_b @ X4 @ bot_bot_set_b ) ) ) )
= $true ),
inference(copy,[status(thm)],[384]) ).
thf(511,plain,
( ( ! [A2: set_b,R2: set_Product_prod_b_b,A: b] :
( ( equiv_equiv_b @ A2 @ R2 )
=> ( ( member_b @ A @ A2 )
=> ( member_b @ A @ ( image_b_b @ R2 @ ( insert_b @ A @ bot_bot_set_b ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[383]) ).
thf(512,plain,
( ( ! [R2: set_Product_prod_b_b] : ( total_on_b @ bot_bot_set_b @ R2 ) )
= $true ),
inference(copy,[status(thm)],[382]) ).
thf(513,plain,
( ( equiv_proj_b_b
= ( ^ [R3: set_Product_prod_b_b,X2: b] : ( image_b_b @ R3 @ ( insert_b @ X2 @ bot_bot_set_b ) ) ) )
= $true ),
inference(copy,[status(thm)],[381]) ).
thf(514,plain,
( ( ! [A2: set_b,B2: set_b] :
( ! [X4: b] :
( ( member_b @ X4 @ A2 )
=> ( member_b @ X4 @ B2 ) )
=> ( ord_less_eq_set_b @ A2 @ B2 ) ) )
= $true ),
inference(copy,[status(thm)],[380]) ).
thf(515,plain,
( ( ! [A2: set_b] : ( ord_less_eq_set_b @ bot_bot_set_b @ A2 ) )
= $true ),
inference(copy,[status(thm)],[379]) ).
thf(516,plain,
( ( ! [A2: set_b] :
( ( ord_less_eq_set_b @ A2 @ bot_bot_set_b )
= ( A2 = bot_bot_set_b ) ) )
= $true ),
inference(copy,[status(thm)],[378]) ).
thf(517,plain,
( ( ! [X: b,A2: set_b,B2: set_b] :
( ( ord_less_eq_set_b @ ( insert_b @ X @ A2 ) @ B2 )
= ( ( member_b @ X @ B2 )
& ( ord_less_eq_set_b @ A2 @ B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[377]) ).
thf(518,plain,
( ( ! [A: b,A2: set_b,B: b] :
( ( ( insert_b @ A @ A2 )
= ( insert_b @ B @ bot_bot_set_b ) )
= ( ( A = B )
& ( ord_less_eq_set_b @ A2 @ ( insert_b @ B @ bot_bot_set_b ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[376]) ).
thf(519,plain,
( ( ! [B: b,A: b,A2: set_b] :
( ( ( insert_b @ B @ bot_bot_set_b )
= ( insert_b @ A @ A2 ) )
= ( ( A = B )
& ( ord_less_eq_set_b @ A2 @ ( insert_b @ B @ bot_bot_set_b ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[375]) ).
thf(520,plain,
( ( ord_less_eq_set_b
= ( ^ [A6: set_b,B5: set_b] :
! [T: b] :
( ( member_b @ T @ A6 )
=> ( member_b @ T @ B5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[374]) ).
thf(521,plain,
( ( ord_less_eq_set_b
= ( ^ [A6: set_b,B5: set_b] :
! [X2: b] :
( ( member_b @ X2 @ A6 )
=> ( member_b @ X2 @ B5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[373]) ).
thf(522,plain,
( ( ! [A2: set_b,B2: set_b,C: b] :
( ( ord_less_eq_set_b @ A2 @ B2 )
=> ( ( member_b @ C @ A2 )
=> ( member_b @ C @ B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[372]) ).
thf(523,plain,
( ( ! [A2: set_b,B2: set_b,X: b] :
( ( ord_less_eq_set_b @ A2 @ B2 )
=> ( ( member_b @ X @ A2 )
=> ( member_b @ X @ B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[371]) ).
thf(524,plain,
( ( ! [A: set_b] :
( ( ord_less_eq_set_b @ A @ bot_bot_set_b )
=> ( A = bot_bot_set_b ) ) )
= $true ),
inference(copy,[status(thm)],[370]) ).
thf(525,plain,
( ( ! [A: set_b] :
( ( ord_less_eq_set_b @ A @ bot_bot_set_b )
= ( A = bot_bot_set_b ) ) )
= $true ),
inference(copy,[status(thm)],[369]) ).
thf(526,plain,
( ( ! [A: set_b] : ( ord_less_eq_set_b @ bot_bot_set_b @ A ) )
= $true ),
inference(copy,[status(thm)],[368]) ).
thf(527,plain,
( ( ! [C4: set_b,D2: set_b,A: b] :
( ( ord_less_eq_set_b @ C4 @ D2 )
=> ( ord_less_eq_set_b @ ( insert_b @ A @ C4 ) @ ( insert_b @ A @ D2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[367]) ).
thf(528,plain,
( ( ! [X: b,A2: set_b,B2: set_b] :
( ~ ( member_b @ X @ A2 )
=> ( ( ord_less_eq_set_b @ A2 @ ( insert_b @ X @ B2 ) )
= ( ord_less_eq_set_b @ A2 @ B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[366]) ).
thf(529,plain,
( ( ! [B2: set_b,A: b] : ( ord_less_eq_set_b @ B2 @ ( insert_b @ A @ B2 ) ) )
= $true ),
inference(copy,[status(thm)],[365]) ).
thf(530,plain,
( ( ! [A2: set_b,B2: set_b,B: b] :
( ( ord_less_eq_set_b @ A2 @ B2 )
=> ( ord_less_eq_set_b @ A2 @ ( insert_b @ B @ B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[364]) ).
thf(531,plain,
( ( ! [X3: set_b,A: b] :
( ( ord_less_eq_set_b @ X3 @ ( insert_b @ A @ bot_bot_set_b ) )
= ( ( X3 = bot_bot_set_b )
| ( X3
= ( insert_b @ A @ bot_bot_set_b ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[363]) ).
thf(532,plain,
( ( ! [P: $o] :
( ( P = $true )
| ( P = $false ) ) )
= $true ),
inference(copy,[status(thm)],[362]) ).
thf(533,plain,
( ( ( hilbert_Eps_b
@ ^ [Y: b] : ( member_b @ Y @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) ) ) )
!= ( hilbert_Eps_b
@ ^ [Y: b] : ( member_b @ Y @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ y @ bot_bot_set_b ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[447]) ).
thf(534,plain,
( ( ! [SX0: set_b] :
( ~ ! [SX1: b] :
~ ( member_b @ SX1 @ SX0 )
| ( SX0 = bot_bot_set_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[469]) ).
thf(536,plain,
( ( ! [SX0: set_b] :
( ~ ( is_singleton_b @ SX0 )
| ~ ! [SX1: b] :
( SX0
!= ( insert_b @ SX1 @ bot_bot_set_b ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[510]) ).
thf(537,plain,
( ( ! [SX0: set_b] :
( ~ ( ord_less_eq_set_b @ SX0 @ bot_bot_set_b )
| ( SX0 = bot_bot_set_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[524]) ).
thf(539,plain,
( ( ! [SX0: b,SX1: set_b] :
( ~ ( member_b @ SX0 @ SX1 )
| ~ ! [SX2: set_b] :
~ ~ ( ( SX1
!= ( insert_b @ SX0 @ SX2 ) )
| ~ ~ ( member_b @ SX0 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[472]) ).
thf(540,plain,
( ( ! [SX0: set_b,SX1: set_b,SX2: b] :
( ~ ( ord_less_eq_set_b @ SX0 @ SX1 )
| ( ord_less_eq_set_b @ ( insert_b @ SX2 @ SX0 ) @ ( insert_b @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[527]) ).
thf(541,plain,
( ( ! [SX0: b] :
( ~ ( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SX0 @ bot_bot_set_b ) )
!= bot_bot_set_b ) )
| ( ( hilbert_Eps_b @ ( p @ ( hilbert_Eps_b @ ( p @ SX0 ) ) ) )
= ( hilbert_Eps_b @ ( p @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[450]) ).
thf(542,plain,
( ( ! [SX0: b > $o,SX1: b] :
~ ( ~ ( ~ ( SX0 @ SX1 )
| ( ( collect_b
@ ^ [SX2: b] :
~ ( ( SX1 != SX2 )
| ~ ( SX0 @ SX2 ) ) )
= ( insert_b @ SX1 @ bot_bot_set_b ) ) )
| ~ ( ~ ~ ( SX0 @ SX1 )
| ( ( collect_b
@ ^ [SX2: b] :
~ ( ( SX1 != SX2 )
| ~ ( SX0 @ SX2 ) ) )
= bot_bot_set_b ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[501]) ).
thf(543,plain,
( ( ! [SX0: b,SX1: set_b] :
( ~ ( member_b @ SX0 @ SX1 )
| ( ( insert_b @ SX0 @ SX1 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[475]) ).
thf(544,plain,
( ( ord_less_eq_set_b
= ( ^ [SX0: set_b,SX1: set_b] :
! [SX2: b] :
( ~ ( member_b @ SX2 @ SX0 )
| ( member_b @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[520]) ).
thf(545,plain,
( ( ! [SX0: b,SX1: set_b,SX2: set_b] :
( ~ ~ ( member_b @ SX0 @ SX1 )
| ( ( ord_less_eq_set_b @ SX1 @ ( insert_b @ SX0 @ SX2 ) )
= ( ord_less_eq_set_b @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[528]) ).
thf(546,plain,
( ( ! [SX0: b,SX1: set_b,SX2: b] :
( ~ ( member_b @ SX0 @ SX1 )
| ( member_b @ SX0 @ ( insert_b @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[478]) ).
thf(547,plain,
( ( ! [SX0: b,SX1: set_b] :
( ~ ( member_b @ SX0 @ SX1 )
| ~ ! [SX2: set_b] :
( ( SX1
!= ( insert_b @ SX0 @ SX2 ) )
| ( member_b @ SX0 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[477]) ).
thf(548,plain,
( ( ! [SX0: set_b] :
( ~ ( ( SX0 != bot_bot_set_b ) )
| ~ ! [SX1: b,SX2: b] :
( ~ ( member_b @ SX1 @ SX0 )
| ~ ( member_b @ SX2 @ SX0 )
| ( SX1 = SX2 ) )
| ( is_singleton_b @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[508]) ).
thf(549,plain,
( ( ! [SX0: b > $o,SX1: b,SX2: b > $o] :
( ~ ( SX0 @ SX1 )
| ~ ! [SX3: b] :
( ~ ( SX0 @ SX3 )
| ( SX2 @ SX3 ) )
| ( SX2 @ ( hilbert_Eps_b @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[495]) ).
thf(550,plain,
( ( ! [SX0: set_b,SX1: set_b,SX2: b] :
( ~ ( ord_less_eq_set_b @ SX0 @ SX1 )
| ( ord_less_eq_set_b @ SX0 @ ( insert_b @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[530]) ).
thf(551,plain,
( ( ! [SX0: b,SX1: set_b,SX2: set_b] :
( ( ord_less_eq_set_b @ ( insert_b @ SX0 @ SX1 ) @ SX2 )
= ( ~ ( ~ ( member_b @ SX0 @ SX2 )
| ~ ( ord_less_eq_set_b @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[517]) ).
thf(552,plain,
( ( ! [SX0: b,SX1: set_b,SX2: b] :
( ( ( insert_b @ SX0 @ SX1 )
= ( insert_b @ SX2 @ bot_bot_set_b ) )
= ( ~ ( ( SX0 != SX2 )
| ~ ( ord_less_eq_set_b @ SX1 @ ( insert_b @ SX2 @ bot_bot_set_b ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[518]) ).
thf(553,plain,
( ( is_singleton_b
= ( ^ [SX0: set_b] :
~ ! [SX1: b] :
( SX0
!= ( insert_b @ SX1 @ bot_bot_set_b ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[509]) ).
thf(554,plain,
( ( ! [SX0: b,SX1: set_b,SX2: set_b] :
( ~ ~ ( member_b @ SX0 @ SX1 )
| ~ ~ ( member_b @ SX0 @ SX2 )
| ( ( ( insert_b @ SX0 @ SX1 )
= ( insert_b @ SX0 @ SX2 ) )
= ( SX1 = SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[476]) ).
thf(555,plain,
( ( ! [SX0: set_b,SX1: b] :
( ( SX0 != bot_bot_set_b )
| ~ ( member_b @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[470]) ).
thf(556,plain,
( ( ! [SX0: b > $o] :
( ( SX0 @ ( hilbert_Eps_b @ SX0 ) )
= ( ~ ! [SX1: b] :
~ ( SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[491]) ).
thf(557,plain,
( ( ! [SX0: b,SX1: b,SX2: b,SX3: b] :
( ( ( insert_b @ SX0 @ ( insert_b @ SX1 @ bot_bot_set_b ) )
= ( insert_b @ SX2 @ ( insert_b @ SX3 @ bot_bot_set_b ) ) )
= ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) )
| ~ ( ( SX0 != SX3 )
| ( SX1 != SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[498]) ).
thf(558,plain,
( ( ! [SX0: b > $o,SX1: b] :
( ~ ( SX0 @ SX1 )
| ~ ! [SX2: b] :
( ~ ( SX0 @ SX2 )
| ( SX2 = SX1 ) )
| ( ( hilbert_Eps_b @ SX0 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[458]) ).
thf(559,plain,
( ( ! [SX0: b,SX1: b,SX2: set_b] :
( ~ ( member_b @ SX0 @ ( insert_b @ SX1 @ SX2 ) )
| ~ ( ( SX0 != SX1 ) )
| ( member_b @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[480]) ).
thf(560,plain,
( ( ! [SX0: b > $o,SX1: b] :
( ~ ~ ! [SX2: b] :
~ ~ ( ~ ( SX0 @ SX2 )
| ~ ! [SX3: b] :
( ~ ( SX0 @ SX3 )
| ( SX3 = SX2 ) ) )
| ~ ( SX0 @ SX1 )
| ( ( hilbert_Eps_b @ SX0 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[490]) ).
thf(561,plain,
( ( ! [SX0: set_b,SX1: set_Product_prod_b_b,SX2: b] :
( ~ ( equiv_equiv_b @ SX0 @ SX1 )
| ~ ( member_b @ SX2 @ SX0 )
| ( member_b @ SX2 @ ( image_b_b @ SX1 @ ( insert_b @ SX2 @ bot_bot_set_b ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[511]) ).
thf(562,plain,
( ( ! [SX0: b,SX1: b,SX2: set_b] :
( ( ( insert_b @ SX0 @ bot_bot_set_b )
= ( insert_b @ SX1 @ SX2 ) )
= ( ~ ( ( SX1 != SX0 )
| ~ ( ord_less_eq_set_b @ SX2 @ ( insert_b @ SX0 @ bot_bot_set_b ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[519]) ).
thf(563,plain,
( ( ! [SX0: set_b] :
( ( ~ ! [SX1: b] :
~ ( member_b @ SX1 @ SX0 ) )
= ( SX0 != bot_bot_set_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[468]) ).
thf(564,plain,
( ( ! [SX0: b,SX1: set_b,SX2: b] :
( ~ ( ~ ~ ( member_b @ SX0 @ SX1 )
| ( SX0 = SX2 ) )
| ( member_b @ SX0 @ ( insert_b @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[466]) ).
thf(565,plain,
( ( ! [SX0: b,SX1: b] :
( ~ ( member_b @ SX0 @ ( insert_b @ SX1 @ bot_bot_set_b ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[500]) ).
thf(566,plain,
( ( ! [SX0: b > $o,SX1: b > $o] :
( ~ ~ ! [SX2: b] :
~ ( SX0 @ SX2 )
| ~ ! [SX2: b] :
( ~ ( SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ( SX1 @ ( hilbert_Eps_b @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[493]) ).
thf(567,plain,
( ( ! [SX0: set_b,SX1: set_b] :
( ~ ! [SX2: b] :
( ~ ( member_b @ SX2 @ SX0 )
| ( member_b @ SX2 @ SX1 ) )
| ( ord_less_eq_set_b @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[514]) ).
thf(568,plain,
( ( ! [SX0: set_b] :
( ( member_b
@ ( hilbert_Eps_b
@ ^ [SX1: b] : ( member_b @ SX1 @ SX0 ) )
@ SX0 )
= ( SX0 != bot_bot_set_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[503]) ).
thf(569,plain,
( ( ! [SX0: b,SX1: set_b] :
( ( insert_b @ SX0 @ SX1 )
!= bot_bot_set_b ) )
= $true ),
inference(unfold_def,[status(thm)],[497]) ).
thf(570,plain,
( ( ! [SX0: b,SX1: set_b,SX2: b,SX3: set_b] :
( ~ ~ ( member_b @ SX0 @ SX1 )
| ~ ~ ( member_b @ SX2 @ SX3 )
| ( ( ( insert_b @ SX0 @ SX1 )
= ( insert_b @ SX2 @ SX3 ) )
= ( ~ ( ~ ( ( SX0 != SX2 )
| ( SX1 = SX3 ) )
| ~ ( ~ ( ( SX0 != SX2 ) )
| ~ ! [SX4: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SX1
!= ( insert_b @ SX2 @ SX4 ) )
| ~ ~ ( member_b @ SX2 @ SX4 ) )
| ( SX3
!= ( insert_b @ SX0 @ SX4 ) ) )
| ~ ~ ( member_b @ SX0 @ SX4 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[474]) ).
thf(571,plain,
( ( ! [SX0: b > $o,SX1: b] :
~ ( ~ ( ~ ( SX0 @ SX1 )
| ( ( collect_b
@ ^ [SX2: b] :
~ ( ( SX2 != SX1 )
| ~ ( SX0 @ SX2 ) ) )
= ( insert_b @ SX1 @ bot_bot_set_b ) ) )
| ~ ( ~ ~ ( SX0 @ SX1 )
| ( ( collect_b
@ ^ [SX2: b] :
~ ( ( SX2 != SX1 )
| ~ ( SX0 @ SX2 ) ) )
= bot_bot_set_b ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[502]) ).
thf(572,plain,
( ( ! [SX0: b > $o,SX1: b,SX2: b] :
( ( ( hilbert_Eps_b @ SX0 )
!= SX1 )
| ~ ( SX0 @ SX2 )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[481]) ).
thf(573,plain,
( ( ! [SX0: set_b,SX1: set_b,SX2: b] :
( ~ ( ord_less_eq_set_b @ SX0 @ SX1 )
| ~ ( member_b @ SX2 @ SX0 )
| ( member_b @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[523]) ).
thf(574,plain,
( ( ! [SX0: b,SX1: b] :
( ( ( insert_b @ SX0 @ bot_bot_set_b )
!= ( insert_b @ SX1 @ bot_bot_set_b ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[496]) ).
thf(575,plain,
( ( ! [SX0: set_b,SX1: set_b,SX2: b] :
( ~ ( ord_less_eq_set_b @ SX0 @ SX1 )
| ~ ( member_b @ SX2 @ SX0 )
| ( member_b @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[522]) ).
thf(576,plain,
( ( ! [SX0: b > $o,SX1: b > $o] :
( ~ ! [SX2: b] :
( ( SX0 @ SX2 )
= ( SX1 @ SX2 ) )
| ( ( hilbert_Eps_b @ SX0 )
= ( hilbert_Eps_b @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[485]) ).
thf(577,plain,
( ( ! [SX0: set_b,SX1: b > $o,SX2: b > $o] :
( ~ ~ ! [SX3: b] :
~ ~ ( ~ ( member_b @ SX3 @ SX0 )
| ~ ( SX1 @ SX3 ) )
| ~ ! [SX3: b] :
( ~ ~ ( ~ ( member_b @ SX3 @ SX0 )
| ~ ( SX1 @ SX3 ) )
| ( SX2 @ SX3 ) )
| ( SX2
@ ( hilbert_Eps_b
@ ^ [SX3: b] :
~ ( ~ ( member_b @ SX3 @ SX0 )
| ~ ( SX1 @ SX3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[492]) ).
thf(579,plain,
( ( ord_less_eq_set_b
= ( ^ [SX0: set_b,SX1: set_b] :
! [SX2: b] :
( ~ ( member_b @ SX2 @ SX0 )
| ( member_b @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[521]) ).
thf(580,plain,
( ( ! [SX0: b,SX1: b > $o] :
( ( insert_b @ SX0 @ ( collect_b @ SX1 ) )
= ( collect_b
@ ^ [SX2: b] :
( ~ ( ( SX2 != SX0 ) )
| ( SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[488]) ).
thf(581,plain,
( ( ! [SV1: b] :
( ( p @ SV1 )
= ( ^ [SY200: b] : ( member_b @ SY200 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV1 @ bot_bot_set_b ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[451]) ).
thf(582,plain,
( ( p
= ( ^ [X2: b,Y: b] : ( member_b @ Y @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ X2 @ bot_bot_set_b ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[451]) ).
thf(583,plain,
! [SV2: b] :
( ( ( collect_b
@ ^ [SY201: b] : ( SY201 = SV2 ) )
= ( insert_b @ SV2 @ bot_bot_set_b ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[452]) ).
thf(584,plain,
! [SV3: b] :
( ( ( collect_b
@ ^ [SY202: b] : ( SV3 = SY202 ) )
= ( insert_b @ SV3 @ bot_bot_set_b ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[453]) ).
thf(585,plain,
! [SV4: b] :
( ( ! [SY203: b] :
( ( collect_b
@ ^ [SY204: b] :
( ( SY204 = SV4 )
| ( SY204 = SY203 ) ) )
= ( insert_b @ SV4 @ ( insert_b @ SY203 @ bot_bot_set_b ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[454]) ).
thf(586,plain,
! [SV5: set_b] :
( ( ( image_b_b @ bot_bo1343651123od_b_b @ SV5 )
= bot_bot_set_b )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[455]) ).
thf(587,plain,
! [SV6: set_Product_prod_b_b] :
( ( ( image_b_b @ SV6 @ bot_bot_set_b )
= bot_bot_set_b )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[456]) ).
thf(588,plain,
! [SV7: b] :
( ( member_b @ SV7 @ ( insert_b @ SV7 @ bot_bot_set_b ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[457]) ).
thf(589,plain,
! [SV8: b] :
( ( ( hilbert_Eps_b
@ ^ [SY205: b] : ( SY205 = SV8 ) )
= SV8 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[459]) ).
thf(590,plain,
! [SV9: b > $o] :
( ( ( bot_bot_set_b
= ( collect_b @ SV9 ) )
= ( ! [SY206: b] :
~ ( SV9 @ SY206 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[460]) ).
thf(591,plain,
! [SV10: b > $o] :
( ( ( ( collect_b @ SV10 )
= bot_bot_set_b )
= ( ! [SY207: b] :
~ ( SV10 @ SY207 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[461]) ).
thf(592,plain,
! [SV11: set_b] :
( ( ( ! [SY208: b] :
~ ( member_b @ SY208 @ SV11 ) )
= ( SV11 = bot_bot_set_b ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[462]) ).
thf(593,plain,
! [SV12: b] :
( ( ~ ( member_b @ SV12 @ bot_bot_set_b ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[463]) ).
thf(594,plain,
! [SV13: b] :
( ( ! [SY209: set_b] :
( ( insert_b @ SV13 @ ( insert_b @ SV13 @ SY209 ) )
= ( insert_b @ SV13 @ SY209 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[464]) ).
thf(595,plain,
! [SV14: b] :
( ( ! [SY210: b,SY211: set_b] :
( ( member_b @ SV14 @ ( insert_b @ SY210 @ SY211 ) )
= ( ( SV14 = SY210 )
| ( member_b @ SV14 @ SY211 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[465]) ).
thf(596,plain,
! [SV15: b] :
( ( ( hilbert_Eps_b
@ ^ [SY212: b] : ( SV15 = SY212 ) )
= SV15 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[467]) ).
thf(597,plain,
! [SV16: b] :
( ( ~ ( member_b @ SV16 @ bot_bot_set_b ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[471]) ).
thf(598,plain,
! [SV17: b] :
( ( ! [SY213: b,SY214: set_b] :
( ( insert_b @ SV17 @ ( insert_b @ SY213 @ SY214 ) )
= ( insert_b @ SY213 @ ( insert_b @ SV17 @ SY214 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[473]) ).
thf(599,plain,
! [SV18: b] :
( ( ! [SY215: set_b] : ( member_b @ SV18 @ ( insert_b @ SV18 @ SY215 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[479]) ).
thf(600,plain,
! [SV19: b] :
( ( ! [SY216: b > $o] :
( ( member_b @ SV19 @ ( collect_b @ SY216 ) )
= ( SY216 @ SV19 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[483]) ).
thf(601,plain,
! [SV20: set_b] :
( ( ( collect_b
@ ^ [SY217: b] : ( member_b @ SY217 @ SV20 ) )
= SV20 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[484]) ).
thf(602,plain,
( ( ! [SV21: b] :
( ( insert_b @ SV21 )
= ( ^ [SY218: set_b] :
( collect_b
@ ^ [SY219: b] :
( ( SY219 = SV21 )
| ( member_b @ SY219 @ SY218 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[489]) ).
thf(603,plain,
( ( insert_b
= ( ^ [A3: b,B5: set_b] :
( collect_b
@ ^ [X2: b] :
( ( X2 = A3 )
| ( member_b @ X2 @ B5 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[489]) ).
thf(604,plain,
! [SV22: b] :
( ( ! [SY220: b] :
( ( member_b @ SV22 @ ( insert_b @ SY220 @ bot_bot_set_b ) )
= ( SV22 = SY220 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[499]) ).
thf(605,plain,
! [SV23: b] :
( ( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV23 @ bot_bot_set_b ) )
= bot_bot_set_b )
= ( ~ ( member_b @ SV23 @ ( labele1424214014nt_a_b @ g ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[504]) ).
thf(606,plain,
! [SV24: b] :
( ( ( the_elem_b @ ( insert_b @ SV24 @ bot_bot_set_b ) )
= SV24 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[505]) ).
thf(607,plain,
( ( ! [SV25: b] :
( ( bot_bot_b_o @ SV25 )
= ( member_b @ SV25 @ bot_bot_set_b ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[506]) ).
thf(608,plain,
( ( bot_bot_b_o
= ( ^ [X2: b] : ( member_b @ X2 @ bot_bot_set_b ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[506]) ).
thf(609,plain,
! [SV26: b] :
( ( is_singleton_b @ ( insert_b @ SV26 @ bot_bot_set_b ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[507]) ).
thf(610,plain,
! [SV27: set_Product_prod_b_b] :
( ( total_on_b @ bot_bot_set_b @ SV27 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[512]) ).
thf(611,plain,
( ( ! [SV28: set_Product_prod_b_b] :
( ( equiv_proj_b_b @ SV28 )
= ( ^ [SY221: b] : ( image_b_b @ SV28 @ ( insert_b @ SY221 @ bot_bot_set_b ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[513]) ).
thf(612,plain,
( ( equiv_proj_b_b
= ( ^ [R3: set_Product_prod_b_b,X2: b] : ( image_b_b @ R3 @ ( insert_b @ X2 @ bot_bot_set_b ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[513]) ).
thf(613,plain,
! [SV29: set_b] :
( ( ord_less_eq_set_b @ bot_bot_set_b @ SV29 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[515]) ).
thf(614,plain,
! [SV30: set_b] :
( ( ( ord_less_eq_set_b @ SV30 @ bot_bot_set_b )
= ( SV30 = bot_bot_set_b ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[516]) ).
thf(615,plain,
! [SV31: set_b] :
( ( ( ord_less_eq_set_b @ SV31 @ bot_bot_set_b )
= ( SV31 = bot_bot_set_b ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[525]) ).
thf(616,plain,
! [SV32: set_b] :
( ( ord_less_eq_set_b @ bot_bot_set_b @ SV32 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[526]) ).
thf(617,plain,
! [SV33: set_b] :
( ( ! [SY222: b] : ( ord_less_eq_set_b @ SV33 @ ( insert_b @ SY222 @ SV33 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[529]) ).
thf(618,plain,
! [SV34: set_b] :
( ( ! [SY223: b] :
( ( ord_less_eq_set_b @ SV34 @ ( insert_b @ SY223 @ bot_bot_set_b ) )
= ( ( SV34 = bot_bot_set_b )
| ( SV34
= ( insert_b @ SY223 @ bot_bot_set_b ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[531]) ).
thf(619,plain,
! [SV35: $o] :
( ( ( SV35 = $true )
| ( SV35 = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[532]) ).
thf(622,plain,
( ( ( hilbert_Eps_b
@ ^ [Y: b] : ( member_b @ Y @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) ) ) )
= ( hilbert_Eps_b
@ ^ [Y: b] : ( member_b @ Y @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ y @ bot_bot_set_b ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[533]) ).
thf(623,plain,
! [SV36: set_b] :
( ( ~ ! [SY224: b] :
~ ( member_b @ SY224 @ SV36 )
| ( SV36 = bot_bot_set_b ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[534]) ).
thf(625,plain,
! [SV38: set_b] :
( ( ~ ( is_singleton_b @ SV38 )
| ~ ! [SY226: b] :
( SV38
!= ( insert_b @ SY226 @ bot_bot_set_b ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[536]) ).
thf(626,plain,
! [SV39: set_b] :
( ( ~ ( ord_less_eq_set_b @ SV39 @ bot_bot_set_b )
| ( SV39 = bot_bot_set_b ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[537]) ).
thf(628,plain,
! [SV41: b] :
( ( ! [SY228: set_b] :
( ~ ( member_b @ SV41 @ SY228 )
| ~ ! [SY229: set_b] :
~ ~ ( ( SY228
!= ( insert_b @ SV41 @ SY229 ) )
| ~ ~ ( member_b @ SV41 @ SY229 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[539]) ).
thf(629,plain,
! [SV42: set_b] :
( ( ! [SY230: set_b,SY231: b] :
( ~ ( ord_less_eq_set_b @ SV42 @ SY230 )
| ( ord_less_eq_set_b @ ( insert_b @ SY231 @ SV42 ) @ ( insert_b @ SY231 @ SY230 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[540]) ).
thf(630,plain,
! [SV43: b] :
( ( ~ ( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV43 @ bot_bot_set_b ) )
!= bot_bot_set_b ) )
| ( ( hilbert_Eps_b @ ( p @ ( hilbert_Eps_b @ ( p @ SV43 ) ) ) )
= ( hilbert_Eps_b @ ( p @ SV43 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[541]) ).
thf(631,plain,
! [SV44: b > $o] :
( ( ! [SY232: b] :
~ ( ~ ( ~ ( SV44 @ SY232 )
| ( ( collect_b
@ ^ [SY233: b] :
~ ( ( SY232 != SY233 )
| ~ ( SV44 @ SY233 ) ) )
= ( insert_b @ SY232 @ bot_bot_set_b ) ) )
| ~ ( ~ ~ ( SV44 @ SY232 )
| ( ( collect_b
@ ^ [SY234: b] :
~ ( ( SY232 != SY234 )
| ~ ( SV44 @ SY234 ) ) )
= bot_bot_set_b ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[542]) ).
thf(632,plain,
! [SV45: b] :
( ( ! [SY235: set_b] :
( ~ ( member_b @ SV45 @ SY235 )
| ( ( insert_b @ SV45 @ SY235 )
= SY235 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[543]) ).
thf(633,plain,
( ( ! [SV46: set_b] :
( ( ord_less_eq_set_b @ SV46 )
= ( ^ [SY236: set_b] :
! [SY237: b] :
( ~ ( member_b @ SY237 @ SV46 )
| ( member_b @ SY237 @ SY236 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[544]) ).
thf(634,plain,
( ( ord_less_eq_set_b
= ( ^ [SX0: set_b,SX1: set_b] :
! [SX2: b] :
( ~ ( member_b @ SX2 @ SX0 )
| ( member_b @ SX2 @ SX1 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[544]) ).
thf(635,plain,
! [SV47: b] :
( ( ! [SY238: set_b,SY239: set_b] :
( ~ ~ ( member_b @ SV47 @ SY238 )
| ( ( ord_less_eq_set_b @ SY238 @ ( insert_b @ SV47 @ SY239 ) )
= ( ord_less_eq_set_b @ SY238 @ SY239 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[545]) ).
thf(636,plain,
! [SV48: b] :
( ( ! [SY240: set_b,SY241: b] :
( ~ ( member_b @ SV48 @ SY240 )
| ( member_b @ SV48 @ ( insert_b @ SY241 @ SY240 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[546]) ).
thf(637,plain,
! [SV49: b] :
( ( ! [SY242: set_b] :
( ~ ( member_b @ SV49 @ SY242 )
| ~ ! [SY243: set_b] :
( ( SY242
!= ( insert_b @ SV49 @ SY243 ) )
| ( member_b @ SV49 @ SY243 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[547]) ).
thf(638,plain,
! [SV50: set_b] :
( ( ~ ( ( SV50 != bot_bot_set_b ) )
| ~ ! [SY244: b,SY245: b] :
( ~ ( member_b @ SY244 @ SV50 )
| ~ ( member_b @ SY245 @ SV50 )
| ( SY244 = SY245 ) )
| ( is_singleton_b @ SV50 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[548]) ).
thf(639,plain,
! [SV51: b > $o] :
( ( ! [SY246: b,SY247: b > $o] :
( ~ ( SV51 @ SY246 )
| ~ ! [SY248: b] :
( ~ ( SV51 @ SY248 )
| ( SY247 @ SY248 ) )
| ( SY247 @ ( hilbert_Eps_b @ SV51 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[549]) ).
thf(640,plain,
! [SV52: set_b] :
( ( ! [SY249: set_b,SY250: b] :
( ~ ( ord_less_eq_set_b @ SV52 @ SY249 )
| ( ord_less_eq_set_b @ SV52 @ ( insert_b @ SY250 @ SY249 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[550]) ).
thf(641,plain,
! [SV53: b] :
( ( ! [SY251: set_b,SY252: set_b] :
( ( ord_less_eq_set_b @ ( insert_b @ SV53 @ SY251 ) @ SY252 )
= ( ~ ( ~ ( member_b @ SV53 @ SY252 )
| ~ ( ord_less_eq_set_b @ SY251 @ SY252 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[551]) ).
thf(642,plain,
! [SV54: b] :
( ( ! [SY253: set_b,SY254: b] :
( ( ( insert_b @ SV54 @ SY253 )
= ( insert_b @ SY254 @ bot_bot_set_b ) )
= ( ~ ( ( SV54 != SY254 )
| ~ ( ord_less_eq_set_b @ SY253 @ ( insert_b @ SY254 @ bot_bot_set_b ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[552]) ).
thf(643,plain,
( ( ! [SV55: set_b] :
( ( is_singleton_b @ SV55 )
= ( ~ ! [SY255: b] :
( SV55
!= ( insert_b @ SY255 @ bot_bot_set_b ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[553]) ).
thf(644,plain,
( ( is_singleton_b
= ( ^ [SX0: set_b] :
~ ! [SX1: b] :
( SX0
!= ( insert_b @ SX1 @ bot_bot_set_b ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[553]) ).
thf(645,plain,
! [SV56: b] :
( ( ! [SY256: set_b,SY257: set_b] :
( ~ ~ ( member_b @ SV56 @ SY256 )
| ~ ~ ( member_b @ SV56 @ SY257 )
| ( ( ( insert_b @ SV56 @ SY256 )
= ( insert_b @ SV56 @ SY257 ) )
= ( SY256 = SY257 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[554]) ).
thf(646,plain,
! [SV57: set_b] :
( ( ! [SY258: b] :
( ( SV57 != bot_bot_set_b )
| ~ ( member_b @ SY258 @ SV57 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[555]) ).
thf(647,plain,
! [SV58: b > $o] :
( ( ( SV58 @ ( hilbert_Eps_b @ SV58 ) )
= ( ~ ! [SY259: b] :
~ ( SV58 @ SY259 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[556]) ).
thf(648,plain,
! [SV59: b] :
( ( ! [SY260: b,SY261: b,SY262: b] :
( ( ( insert_b @ SV59 @ ( insert_b @ SY260 @ bot_bot_set_b ) )
= ( insert_b @ SY261 @ ( insert_b @ SY262 @ bot_bot_set_b ) ) )
= ( ~ ( ( SV59 != SY261 )
| ( SY260 != SY262 ) )
| ~ ( ( SV59 != SY262 )
| ( SY260 != SY261 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[557]) ).
thf(649,plain,
! [SV60: b > $o] :
( ( ! [SY263: b] :
( ~ ( SV60 @ SY263 )
| ~ ! [SY264: b] :
( ~ ( SV60 @ SY264 )
| ( SY264 = SY263 ) )
| ( ( hilbert_Eps_b @ SV60 )
= SY263 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[558]) ).
thf(650,plain,
! [SV61: b] :
( ( ! [SY265: b,SY266: set_b] :
( ~ ( member_b @ SV61 @ ( insert_b @ SY265 @ SY266 ) )
| ~ ( ( SV61 != SY265 ) )
| ( member_b @ SV61 @ SY266 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[559]) ).
thf(651,plain,
! [SV62: b > $o] :
( ( ! [SY267: b] :
( ~ ~ ! [SY268: b] :
~ ~ ( ~ ( SV62 @ SY268 )
| ~ ! [SY269: b] :
( ~ ( SV62 @ SY269 )
| ( SY269 = SY268 ) ) )
| ~ ( SV62 @ SY267 )
| ( ( hilbert_Eps_b @ SV62 )
= SY267 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[560]) ).
thf(652,plain,
! [SV63: set_b] :
( ( ! [SY270: set_Product_prod_b_b,SY271: b] :
( ~ ( equiv_equiv_b @ SV63 @ SY270 )
| ~ ( member_b @ SY271 @ SV63 )
| ( member_b @ SY271 @ ( image_b_b @ SY270 @ ( insert_b @ SY271 @ bot_bot_set_b ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[561]) ).
thf(653,plain,
! [SV64: b] :
( ( ! [SY272: b,SY273: set_b] :
( ( ( insert_b @ SV64 @ bot_bot_set_b )
= ( insert_b @ SY272 @ SY273 ) )
= ( ~ ( ( SY272 != SV64 )
| ~ ( ord_less_eq_set_b @ SY273 @ ( insert_b @ SV64 @ bot_bot_set_b ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[562]) ).
thf(654,plain,
! [SV65: set_b] :
( ( ( ~ ! [SY274: b] :
~ ( member_b @ SY274 @ SV65 ) )
= ( SV65 != bot_bot_set_b ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[563]) ).
thf(655,plain,
! [SV66: b] :
( ( ! [SY275: set_b,SY276: b] :
( ~ ( ~ ~ ( member_b @ SV66 @ SY275 )
| ( SV66 = SY276 ) )
| ( member_b @ SV66 @ ( insert_b @ SY276 @ SY275 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[564]) ).
thf(656,plain,
! [SV67: b] :
( ( ! [SY277: b] :
( ~ ( member_b @ SV67 @ ( insert_b @ SY277 @ bot_bot_set_b ) )
| ( SV67 = SY277 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[565]) ).
thf(657,plain,
! [SV68: b > $o] :
( ( ! [SY278: b > $o] :
( ~ ~ ! [SY279: b] :
~ ( SV68 @ SY279 )
| ~ ! [SY280: b] :
( ~ ( SV68 @ SY280 )
| ( SY278 @ SY280 ) )
| ( SY278 @ ( hilbert_Eps_b @ SV68 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[566]) ).
thf(658,plain,
! [SV69: set_b] :
( ( ! [SY281: set_b] :
( ~ ! [SY282: b] :
( ~ ( member_b @ SY282 @ SV69 )
| ( member_b @ SY282 @ SY281 ) )
| ( ord_less_eq_set_b @ SV69 @ SY281 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[567]) ).
thf(659,plain,
! [SV70: set_b] :
( ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SY283: b] : ( member_b @ SY283 @ SV70 ) )
@ SV70 )
= ( SV70 != bot_bot_set_b ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[568]) ).
thf(660,plain,
! [SV71: b] :
( ( ! [SY284: set_b] :
( ( insert_b @ SV71 @ SY284 )
!= bot_bot_set_b ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[569]) ).
thf(661,plain,
! [SV72: b] :
( ( ! [SY285: set_b,SY286: b,SY287: set_b] :
( ~ ~ ( member_b @ SV72 @ SY285 )
| ~ ~ ( member_b @ SY286 @ SY287 )
| ( ( ( insert_b @ SV72 @ SY285 )
= ( insert_b @ SY286 @ SY287 ) )
= ( ~ ( ~ ( ( SV72 != SY286 )
| ( SY285 = SY287 ) )
| ~ ( ~ ( ( SV72 != SY286 ) )
| ~ ! [SY288: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SY285
!= ( insert_b @ SY286 @ SY288 ) )
| ~ ~ ( member_b @ SY286 @ SY288 ) )
| ( SY287
!= ( insert_b @ SV72 @ SY288 ) ) )
| ~ ~ ( member_b @ SV72 @ SY288 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[570]) ).
thf(662,plain,
! [SV73: b > $o] :
( ( ! [SY289: b] :
~ ( ~ ( ~ ( SV73 @ SY289 )
| ( ( collect_b
@ ^ [SY290: b] :
~ ( ( SY290 != SY289 )
| ~ ( SV73 @ SY290 ) ) )
= ( insert_b @ SY289 @ bot_bot_set_b ) ) )
| ~ ( ~ ~ ( SV73 @ SY289 )
| ( ( collect_b
@ ^ [SY291: b] :
~ ( ( SY291 != SY289 )
| ~ ( SV73 @ SY291 ) ) )
= bot_bot_set_b ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[571]) ).
thf(663,plain,
! [SV74: b > $o] :
( ( ! [SY292: b,SY293: b] :
( ( ( hilbert_Eps_b @ SV74 )
!= SY292 )
| ~ ( SV74 @ SY293 )
| ( SV74 @ SY292 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[572]) ).
thf(664,plain,
! [SV75: set_b] :
( ( ! [SY294: set_b,SY295: b] :
( ~ ( ord_less_eq_set_b @ SV75 @ SY294 )
| ~ ( member_b @ SY295 @ SV75 )
| ( member_b @ SY295 @ SY294 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[573]) ).
thf(665,plain,
! [SV76: b] :
( ( ! [SY296: b] :
( ( ( insert_b @ SV76 @ bot_bot_set_b )
!= ( insert_b @ SY296 @ bot_bot_set_b ) )
| ( SV76 = SY296 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[574]) ).
thf(666,plain,
! [SV77: set_b] :
( ( ! [SY297: set_b,SY298: b] :
( ~ ( ord_less_eq_set_b @ SV77 @ SY297 )
| ~ ( member_b @ SY298 @ SV77 )
| ( member_b @ SY298 @ SY297 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[575]) ).
thf(667,plain,
! [SV78: b > $o] :
( ( ! [SY299: b > $o] :
( ~ ! [SY300: b] :
( ( SV78 @ SY300 )
= ( SY299 @ SY300 ) )
| ( ( hilbert_Eps_b @ SV78 )
= ( hilbert_Eps_b @ SY299 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[576]) ).
thf(668,plain,
! [SV79: set_b] :
( ( ! [SY301: b > $o,SY302: b > $o] :
( ~ ~ ! [SY303: b] :
~ ~ ( ~ ( member_b @ SY303 @ SV79 )
| ~ ( SY301 @ SY303 ) )
| ~ ! [SY304: b] :
( ~ ~ ( ~ ( member_b @ SY304 @ SV79 )
| ~ ( SY301 @ SY304 ) )
| ( SY302 @ SY304 ) )
| ( SY302
@ ( hilbert_Eps_b
@ ^ [SY305: b] :
~ ( ~ ( member_b @ SY305 @ SV79 )
| ~ ( SY301 @ SY305 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[577]) ).
thf(670,plain,
( ( ! [SV81: set_b] :
( ( ord_less_eq_set_b @ SV81 )
= ( ^ [SY307: set_b] :
! [SY308: b] :
( ~ ( member_b @ SY308 @ SV81 )
| ( member_b @ SY308 @ SY307 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[579]) ).
thf(671,plain,
( ( ord_less_eq_set_b
= ( ^ [SX0: set_b,SX1: set_b] :
! [SX2: b] :
( ~ ( member_b @ SX2 @ SX0 )
| ( member_b @ SX2 @ SX1 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[579]) ).
thf(672,plain,
! [SV82: b] :
( ( ! [SY309: b > $o] :
( ( insert_b @ SV82 @ ( collect_b @ SY309 ) )
= ( collect_b
@ ^ [SY310: b] :
( ~ ( ( SY310 != SV82 ) )
| ( SY309 @ SY310 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[580]) ).
thf(673,plain,
! [SV83: b] :
( ( ( p @ SV83 )
= ( ^ [SY311: b] : ( member_b @ SY311 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV83 @ bot_bot_set_b ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[581]) ).
thf(674,plain,
! [SV84: b,SV4: b] :
( ( ( collect_b
@ ^ [SY312: b] :
( ( SY312 = SV4 )
| ( SY312 = SV84 ) ) )
= ( insert_b @ SV4 @ ( insert_b @ SV84 @ bot_bot_set_b ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[585]) ).
thf(675,plain,
! [SV9: b > $o] :
( ( ~ ( ( bot_bot_set_b
= ( collect_b @ SV9 ) )
| ! [SY206: b] :
~ ( SV9 @ SY206 ) )
| ~ ( ( bot_bot_set_b
!= ( collect_b @ SV9 ) )
| ~ ! [SY206: b] :
~ ( SV9 @ SY206 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[590]) ).
thf(676,plain,
! [SV9: b > $o] :
( ( ( bot_bot_set_b
= ( collect_b @ SV9 ) )
= ( ! [SY206: b] :
~ ( SV9 @ SY206 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[590]) ).
thf(677,plain,
! [SV10: b > $o] :
( ( ~ ( ( ( collect_b @ SV10 )
= bot_bot_set_b )
| ! [SY207: b] :
~ ( SV10 @ SY207 ) )
| ~ ( ( ( collect_b @ SV10 )
!= bot_bot_set_b )
| ~ ! [SY207: b] :
~ ( SV10 @ SY207 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[591]) ).
thf(678,plain,
! [SV10: b > $o] :
( ( ( ( collect_b @ SV10 )
= bot_bot_set_b )
= ( ! [SY207: b] :
~ ( SV10 @ SY207 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[591]) ).
thf(679,plain,
! [SV11: set_b] :
( ( ~ ( ! [SY208: b] :
~ ( member_b @ SY208 @ SV11 )
| ( SV11 = bot_bot_set_b ) )
| ~ ( ~ ! [SY208: b] :
~ ( member_b @ SY208 @ SV11 )
| ( SV11 != bot_bot_set_b ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[592]) ).
thf(680,plain,
! [SV11: set_b] :
( ( ( ! [SY208: b] :
~ ( member_b @ SY208 @ SV11 ) )
= ( SV11 = bot_bot_set_b ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[592]) ).
thf(681,plain,
! [SV12: b] :
( ( member_b @ SV12 @ bot_bot_set_b )
= $false ),
inference(extcnf_not_pos,[status(thm)],[593]) ).
thf(682,plain,
! [SV85: set_b,SV13: b] :
( ( ( insert_b @ SV13 @ ( insert_b @ SV13 @ SV85 ) )
= ( insert_b @ SV13 @ SV85 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[594]) ).
thf(683,plain,
! [SV86: b,SV14: b] :
( ( ! [SY313: set_b] :
( ( member_b @ SV14 @ ( insert_b @ SV86 @ SY313 ) )
= ( ( SV14 = SV86 )
| ( member_b @ SV14 @ SY313 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[595]) ).
thf(684,plain,
! [SV16: b] :
( ( member_b @ SV16 @ bot_bot_set_b )
= $false ),
inference(extcnf_not_pos,[status(thm)],[597]) ).
thf(685,plain,
! [SV87: b,SV17: b] :
( ( ! [SY314: set_b] :
( ( insert_b @ SV17 @ ( insert_b @ SV87 @ SY314 ) )
= ( insert_b @ SV87 @ ( insert_b @ SV17 @ SY314 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[598]) ).
thf(686,plain,
! [SV88: set_b,SV18: b] :
( ( member_b @ SV18 @ ( insert_b @ SV18 @ SV88 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[599]) ).
thf(687,plain,
! [SV89: b > $o,SV19: b] :
( ( ( member_b @ SV19 @ ( collect_b @ SV89 ) )
= ( SV89 @ SV19 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[600]) ).
thf(688,plain,
! [SV90: b] :
( ( ( insert_b @ SV90 )
= ( ^ [SY315: set_b] :
( collect_b
@ ^ [SY316: b] :
( ( SY316 = SV90 )
| ( member_b @ SY316 @ SY315 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[602]) ).
thf(689,plain,
! [SV91: b,SV22: b] :
( ( ( member_b @ SV22 @ ( insert_b @ SV91 @ bot_bot_set_b ) )
= ( SV22 = SV91 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[604]) ).
thf(690,plain,
! [SV23: b] :
( ( ~ ( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV23 @ bot_bot_set_b ) )
= bot_bot_set_b )
| ~ ( member_b @ SV23 @ ( labele1424214014nt_a_b @ g ) ) )
| ~ ( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV23 @ bot_bot_set_b ) )
!= bot_bot_set_b )
| ~ ~ ( member_b @ SV23 @ ( labele1424214014nt_a_b @ g ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[605]) ).
thf(691,plain,
! [SV23: b] :
( ( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV23 @ bot_bot_set_b ) )
= bot_bot_set_b )
= ( ~ ( member_b @ SV23 @ ( labele1424214014nt_a_b @ g ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[605]) ).
thf(692,plain,
! [SV92: b] :
( ( ( bot_bot_b_o @ SV92 )
= ( member_b @ SV92 @ bot_bot_set_b ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[607]) ).
thf(693,plain,
! [SV93: set_Product_prod_b_b] :
( ( ( equiv_proj_b_b @ SV93 )
= ( ^ [SY317: b] : ( image_b_b @ SV93 @ ( insert_b @ SY317 @ bot_bot_set_b ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[611]) ).
thf(694,plain,
! [SV30: set_b] :
( ( ~ ( ( ord_less_eq_set_b @ SV30 @ bot_bot_set_b )
| ( SV30 = bot_bot_set_b ) )
| ~ ( ~ ( ord_less_eq_set_b @ SV30 @ bot_bot_set_b )
| ( SV30 != bot_bot_set_b ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[614]) ).
thf(695,plain,
! [SV30: set_b] :
( ( ( ord_less_eq_set_b @ SV30 @ bot_bot_set_b )
= ( SV30 = bot_bot_set_b ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[614]) ).
thf(696,plain,
! [SV31: set_b] :
( ( ~ ( ( ord_less_eq_set_b @ SV31 @ bot_bot_set_b )
| ( SV31 = bot_bot_set_b ) )
| ~ ( ~ ( ord_less_eq_set_b @ SV31 @ bot_bot_set_b )
| ( SV31 != bot_bot_set_b ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[615]) ).
thf(697,plain,
! [SV31: set_b] :
( ( ( ord_less_eq_set_b @ SV31 @ bot_bot_set_b )
= ( SV31 = bot_bot_set_b ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[615]) ).
thf(698,plain,
! [SV94: b,SV33: set_b] :
( ( ord_less_eq_set_b @ SV33 @ ( insert_b @ SV94 @ SV33 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[617]) ).
thf(699,plain,
! [SV95: b,SV34: set_b] :
( ( ( ord_less_eq_set_b @ SV34 @ ( insert_b @ SV95 @ bot_bot_set_b ) )
= ( ( SV34 = bot_bot_set_b )
| ( SV34
= ( insert_b @ SV95 @ bot_bot_set_b ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[618]) ).
thf(700,plain,
! [SV35: $o] :
( ( ( SV35 = $true )
= $true )
| ( ( SV35 = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[619]) ).
thf(703,plain,
! [SV36: set_b] :
( ( ( ~ ! [SY224: b] :
~ ( member_b @ SY224 @ SV36 ) )
= $true )
| ( ( SV36 = bot_bot_set_b )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[623]) ).
thf(705,plain,
! [SV38: set_b] :
( ( ( ~ ( is_singleton_b @ SV38 ) )
= $true )
| ( ( ~ ! [SY226: b] :
( SV38
!= ( insert_b @ SY226 @ bot_bot_set_b ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[625]) ).
thf(706,plain,
! [SV39: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV39 @ bot_bot_set_b ) )
= $true )
| ( ( SV39 = bot_bot_set_b )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[626]) ).
thf(708,plain,
! [SV97: set_b,SV41: b] :
( ( ~ ( member_b @ SV41 @ SV97 )
| ~ ! [SY318: set_b] :
~ ~ ( ( SV97
!= ( insert_b @ SV41 @ SY318 ) )
| ~ ~ ( member_b @ SV41 @ SY318 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[628]) ).
thf(709,plain,
! [SV98: set_b,SV42: set_b] :
( ( ! [SY319: b] :
( ~ ( ord_less_eq_set_b @ SV42 @ SV98 )
| ( ord_less_eq_set_b @ ( insert_b @ SY319 @ SV42 ) @ ( insert_b @ SY319 @ SV98 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[629]) ).
thf(710,plain,
! [SV43: b] :
( ( ( ~ ( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV43 @ bot_bot_set_b ) )
!= bot_bot_set_b ) ) )
= $true )
| ( ( ( hilbert_Eps_b @ ( p @ ( hilbert_Eps_b @ ( p @ SV43 ) ) ) )
= ( hilbert_Eps_b @ ( p @ SV43 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[630]) ).
thf(711,plain,
! [SV99: b,SV44: b > $o] :
( ( ~ ( ~ ( ~ ( SV44 @ SV99 )
| ( ( collect_b
@ ^ [SY320: b] :
~ ( ( SV99 != SY320 )
| ~ ( SV44 @ SY320 ) ) )
= ( insert_b @ SV99 @ bot_bot_set_b ) ) )
| ~ ( ~ ~ ( SV44 @ SV99 )
| ( ( collect_b
@ ^ [SY321: b] :
~ ( ( SV99 != SY321 )
| ~ ( SV44 @ SY321 ) ) )
= bot_bot_set_b ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[631]) ).
thf(712,plain,
! [SV100: set_b,SV45: b] :
( ( ~ ( member_b @ SV45 @ SV100 )
| ( ( insert_b @ SV45 @ SV100 )
= SV100 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[632]) ).
thf(713,plain,
! [SV101: set_b] :
( ( ( ord_less_eq_set_b @ SV101 )
= ( ^ [SY322: set_b] :
! [SY323: b] :
( ~ ( member_b @ SY323 @ SV101 )
| ( member_b @ SY323 @ SY322 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[633]) ).
thf(714,plain,
! [SV102: set_b,SV47: b] :
( ( ! [SY324: set_b] :
( ~ ~ ( member_b @ SV47 @ SV102 )
| ( ( ord_less_eq_set_b @ SV102 @ ( insert_b @ SV47 @ SY324 ) )
= ( ord_less_eq_set_b @ SV102 @ SY324 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[635]) ).
thf(715,plain,
! [SV103: set_b,SV48: b] :
( ( ! [SY325: b] :
( ~ ( member_b @ SV48 @ SV103 )
| ( member_b @ SV48 @ ( insert_b @ SY325 @ SV103 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[636]) ).
thf(716,plain,
! [SV104: set_b,SV49: b] :
( ( ~ ( member_b @ SV49 @ SV104 )
| ~ ! [SY326: set_b] :
( ( SV104
!= ( insert_b @ SV49 @ SY326 ) )
| ( member_b @ SV49 @ SY326 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[637]) ).
thf(717,plain,
! [SV50: set_b] :
( ( ( ~ ( ( SV50 != bot_bot_set_b ) ) )
= $true )
| ( ( ~ ! [SY244: b,SY245: b] :
( ~ ( member_b @ SY244 @ SV50 )
| ~ ( member_b @ SY245 @ SV50 )
| ( SY244 = SY245 ) )
| ( is_singleton_b @ SV50 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[638]) ).
thf(718,plain,
! [SV105: b,SV51: b > $o] :
( ( ! [SY327: b > $o] :
( ~ ( SV51 @ SV105 )
| ~ ! [SY248: b] :
( ~ ( SV51 @ SY248 )
| ( SY327 @ SY248 ) )
| ( SY327 @ ( hilbert_Eps_b @ SV51 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[639]) ).
thf(719,plain,
! [SV106: set_b,SV52: set_b] :
( ( ! [SY329: b] :
( ~ ( ord_less_eq_set_b @ SV52 @ SV106 )
| ( ord_less_eq_set_b @ SV52 @ ( insert_b @ SY329 @ SV106 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[640]) ).
thf(720,plain,
! [SV107: set_b,SV53: b] :
( ( ! [SY330: set_b] :
( ( ord_less_eq_set_b @ ( insert_b @ SV53 @ SV107 ) @ SY330 )
= ( ~ ( ~ ( member_b @ SV53 @ SY330 )
| ~ ( ord_less_eq_set_b @ SV107 @ SY330 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[641]) ).
thf(721,plain,
! [SV108: set_b,SV54: b] :
( ( ! [SY331: b] :
( ( ( insert_b @ SV54 @ SV108 )
= ( insert_b @ SY331 @ bot_bot_set_b ) )
= ( ~ ( ( SV54 != SY331 )
| ~ ( ord_less_eq_set_b @ SV108 @ ( insert_b @ SY331 @ bot_bot_set_b ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[642]) ).
thf(722,plain,
! [SV109: set_b] :
( ( ( is_singleton_b @ SV109 )
= ( ~ ! [SY332: b] :
( SV109
!= ( insert_b @ SY332 @ bot_bot_set_b ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[643]) ).
thf(723,plain,
! [SV110: set_b,SV56: b] :
( ( ! [SY333: set_b] :
( ~ ~ ( member_b @ SV56 @ SV110 )
| ~ ~ ( member_b @ SV56 @ SY333 )
| ( ( ( insert_b @ SV56 @ SV110 )
= ( insert_b @ SV56 @ SY333 ) )
= ( SV110 = SY333 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[645]) ).
thf(724,plain,
! [SV111: b,SV57: set_b] :
( ( ( SV57 != bot_bot_set_b )
| ~ ( member_b @ SV111 @ SV57 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[646]) ).
thf(725,plain,
! [SV58: b > $o] :
( ( ~ ( ( SV58 @ ( hilbert_Eps_b @ SV58 ) )
| ~ ! [SY259: b] :
~ ( SV58 @ SY259 ) )
| ~ ( ~ ( SV58 @ ( hilbert_Eps_b @ SV58 ) )
| ~ ~ ! [SY259: b] :
~ ( SV58 @ SY259 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[647]) ).
thf(726,plain,
! [SV58: b > $o] :
( ( ( SV58 @ ( hilbert_Eps_b @ SV58 ) )
= ( ~ ! [SY259: b] :
~ ( SV58 @ SY259 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[647]) ).
thf(727,plain,
! [SV112: b,SV59: b] :
( ( ! [SY334: b,SY335: b] :
( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
= ( insert_b @ SY334 @ ( insert_b @ SY335 @ bot_bot_set_b ) ) )
= ( ~ ( ( SV59 != SY334 )
| ( SV112 != SY335 ) )
| ~ ( ( SV59 != SY335 )
| ( SV112 != SY334 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[648]) ).
thf(728,plain,
! [SV113: b,SV60: b > $o] :
( ( ~ ( SV60 @ SV113 )
| ~ ! [SY336: b] :
( ~ ( SV60 @ SY336 )
| ( SY336 = SV113 ) )
| ( ( hilbert_Eps_b @ SV60 )
= SV113 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[649]) ).
thf(729,plain,
! [SV114: b,SV61: b] :
( ( ! [SY337: set_b] :
( ~ ( member_b @ SV61 @ ( insert_b @ SV114 @ SY337 ) )
| ~ ( ( SV61 != SV114 ) )
| ( member_b @ SV61 @ SY337 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[650]) ).
thf(730,plain,
! [SV115: b,SV62: b > $o] :
( ( ~ ~ ! [SY268: b] :
~ ~ ( ~ ( SV62 @ SY268 )
| ~ ! [SY269: b] :
( ~ ( SV62 @ SY269 )
| ( SY269 = SY268 ) ) )
| ~ ( SV62 @ SV115 )
| ( ( hilbert_Eps_b @ SV62 )
= SV115 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[651]) ).
thf(731,plain,
! [SV116: set_Product_prod_b_b,SV63: set_b] :
( ( ! [SY340: b] :
( ~ ( equiv_equiv_b @ SV63 @ SV116 )
| ~ ( member_b @ SY340 @ SV63 )
| ( member_b @ SY340 @ ( image_b_b @ SV116 @ ( insert_b @ SY340 @ bot_bot_set_b ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[652]) ).
thf(732,plain,
! [SV117: b,SV64: b] :
( ( ! [SY341: set_b] :
( ( ( insert_b @ SV64 @ bot_bot_set_b )
= ( insert_b @ SV117 @ SY341 ) )
= ( ~ ( ( SV117 != SV64 )
| ~ ( ord_less_eq_set_b @ SY341 @ ( insert_b @ SV64 @ bot_bot_set_b ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[653]) ).
thf(733,plain,
! [SV65: set_b] :
( ( ~ ( ~ ! [SY274: b] :
~ ( member_b @ SY274 @ SV65 )
| ( SV65 != bot_bot_set_b ) )
| ~ ( ~ ~ ! [SY274: b] :
~ ( member_b @ SY274 @ SV65 )
| ~ ( ( SV65 != bot_bot_set_b ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[654]) ).
thf(734,plain,
! [SV65: set_b] :
( ( ( ~ ! [SY274: b] :
~ ( member_b @ SY274 @ SV65 ) )
= ( SV65 != bot_bot_set_b ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[654]) ).
thf(735,plain,
! [SV118: set_b,SV66: b] :
( ( ! [SY342: b] :
( ~ ( ~ ~ ( member_b @ SV66 @ SV118 )
| ( SV66 = SY342 ) )
| ( member_b @ SV66 @ ( insert_b @ SY342 @ SV118 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[655]) ).
thf(736,plain,
! [SV119: b,SV67: b] :
( ( ~ ( member_b @ SV67 @ ( insert_b @ SV119 @ bot_bot_set_b ) )
| ( SV67 = SV119 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[656]) ).
thf(737,plain,
! [SV120: b > $o,SV68: b > $o] :
( ( ~ ~ ! [SY279: b] :
~ ( SV68 @ SY279 )
| ~ ! [SY344: b] :
( ~ ( SV68 @ SY344 )
| ( SV120 @ SY344 ) )
| ( SV120 @ ( hilbert_Eps_b @ SV68 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[657]) ).
thf(738,plain,
! [SV121: set_b,SV69: set_b] :
( ( ~ ! [SY345: b] :
( ~ ( member_b @ SY345 @ SV69 )
| ( member_b @ SY345 @ SV121 ) )
| ( ord_less_eq_set_b @ SV69 @ SV121 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[658]) ).
thf(739,plain,
! [SV70: set_b] :
( ( ~ ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SY283: b] : ( member_b @ SY283 @ SV70 ) )
@ SV70 )
| ( SV70 != bot_bot_set_b ) )
| ~ ( ~ ( member_b
@ ( hilbert_Eps_b
@ ^ [SY283: b] : ( member_b @ SY283 @ SV70 ) )
@ SV70 )
| ~ ( ( SV70 != bot_bot_set_b ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[659]) ).
thf(740,plain,
! [SV70: set_b] :
( ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SY283: b] : ( member_b @ SY283 @ SV70 ) )
@ SV70 )
= ( SV70 != bot_bot_set_b ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[659]) ).
thf(741,plain,
! [SV122: set_b,SV71: b] :
( ( ( insert_b @ SV71 @ SV122 )
!= bot_bot_set_b )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[660]) ).
thf(742,plain,
! [SV123: set_b,SV72: b] :
( ( ! [SY346: b,SY347: set_b] :
( ~ ~ ( member_b @ SV72 @ SV123 )
| ~ ~ ( member_b @ SY346 @ SY347 )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SY346 @ SY347 ) )
= ( ~ ( ~ ( ( SV72 != SY346 )
| ( SV123 = SY347 ) )
| ~ ( ~ ( ( SV72 != SY346 ) )
| ~ ! [SY348: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SY346 @ SY348 ) )
| ~ ~ ( member_b @ SY346 @ SY348 ) )
| ( SY347
!= ( insert_b @ SV72 @ SY348 ) ) )
| ~ ~ ( member_b @ SV72 @ SY348 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[661]) ).
thf(743,plain,
! [SV124: b,SV73: b > $o] :
( ( ~ ( ~ ( ~ ( SV73 @ SV124 )
| ( ( collect_b
@ ^ [SY349: b] :
~ ( ( SY349 != SV124 )
| ~ ( SV73 @ SY349 ) ) )
= ( insert_b @ SV124 @ bot_bot_set_b ) ) )
| ~ ( ~ ~ ( SV73 @ SV124 )
| ( ( collect_b
@ ^ [SY350: b] :
~ ( ( SY350 != SV124 )
| ~ ( SV73 @ SY350 ) ) )
= bot_bot_set_b ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[662]) ).
thf(744,plain,
! [SV125: b,SV74: b > $o] :
( ( ! [SY351: b] :
( ( ( hilbert_Eps_b @ SV74 )
!= SV125 )
| ~ ( SV74 @ SY351 )
| ( SV74 @ SV125 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[663]) ).
thf(745,plain,
! [SV126: set_b,SV75: set_b] :
( ( ! [SY352: b] :
( ~ ( ord_less_eq_set_b @ SV75 @ SV126 )
| ~ ( member_b @ SY352 @ SV75 )
| ( member_b @ SY352 @ SV126 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[664]) ).
thf(746,plain,
! [SV127: b,SV76: b] :
( ( ( ( insert_b @ SV76 @ bot_bot_set_b )
!= ( insert_b @ SV127 @ bot_bot_set_b ) )
| ( SV76 = SV127 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[665]) ).
thf(747,plain,
! [SV128: set_b,SV77: set_b] :
( ( ! [SY353: b] :
( ~ ( ord_less_eq_set_b @ SV77 @ SV128 )
| ~ ( member_b @ SY353 @ SV77 )
| ( member_b @ SY353 @ SV128 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[666]) ).
thf(748,plain,
! [SV129: b > $o,SV78: b > $o] :
( ( ~ ! [SY354: b] :
( ( SV78 @ SY354 )
= ( SV129 @ SY354 ) )
| ( ( hilbert_Eps_b @ SV78 )
= ( hilbert_Eps_b @ SV129 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[667]) ).
thf(749,plain,
! [SV130: b > $o,SV79: set_b] :
( ( ! [SY355: b > $o] :
( ~ ~ ! [SY356: b] :
~ ~ ( ~ ( member_b @ SY356 @ SV79 )
| ~ ( SV130 @ SY356 ) )
| ~ ! [SY357: b] :
( ~ ~ ( ~ ( member_b @ SY357 @ SV79 )
| ~ ( SV130 @ SY357 ) )
| ( SY355 @ SY357 ) )
| ( SY355
@ ( hilbert_Eps_b
@ ^ [SY358: b] :
~ ( ~ ( member_b @ SY358 @ SV79 )
| ~ ( SV130 @ SY358 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[668]) ).
thf(751,plain,
! [SV132: set_b] :
( ( ( ord_less_eq_set_b @ SV132 )
= ( ^ [SY359: set_b] :
! [SY360: b] :
( ~ ( member_b @ SY360 @ SV132 )
| ( member_b @ SY360 @ SY359 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[670]) ).
thf(752,plain,
! [SV133: b > $o,SV82: b] :
( ( ( insert_b @ SV82 @ ( collect_b @ SV133 ) )
= ( collect_b
@ ^ [SY361: b] :
( ~ ( ( SY361 != SV82 ) )
| ( SV133 @ SY361 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[672]) ).
thf(753,plain,
! [SV83: b] :
( ( ! [SV134: b] :
( ( p @ SV83 @ SV134 )
= ( member_b @ SV134 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV83 @ bot_bot_set_b ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[673]) ).
thf(754,plain,
! [SV83: b] :
( ( ( p @ SV83 )
= ( ^ [SY311: b] : ( member_b @ SY311 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV83 @ bot_bot_set_b ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[673]) ).
thf(755,plain,
! [SV9: b > $o] :
( ( ( ~ ( ( bot_bot_set_b
= ( collect_b @ SV9 ) )
| ! [SY206: b] :
~ ( SV9 @ SY206 ) ) )
= $true )
| ( ( ~ ( ( bot_bot_set_b
!= ( collect_b @ SV9 ) )
| ~ ! [SY206: b] :
~ ( SV9 @ SY206 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[675]) ).
thf(756,plain,
! [SV10: b > $o] :
( ( ( ~ ( ( ( collect_b @ SV10 )
= bot_bot_set_b )
| ! [SY207: b] :
~ ( SV10 @ SY207 ) ) )
= $true )
| ( ( ~ ( ( ( collect_b @ SV10 )
!= bot_bot_set_b )
| ~ ! [SY207: b] :
~ ( SV10 @ SY207 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[677]) ).
thf(757,plain,
! [SV11: set_b] :
( ( ( ~ ( ! [SY208: b] :
~ ( member_b @ SY208 @ SV11 )
| ( SV11 = bot_bot_set_b ) ) )
= $true )
| ( ( ~ ( ~ ! [SY208: b] :
~ ( member_b @ SY208 @ SV11 )
| ( SV11 != bot_bot_set_b ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[679]) ).
thf(758,plain,
! [SV135: set_b,SV86: b,SV14: b] :
( ( ( member_b @ SV14 @ ( insert_b @ SV86 @ SV135 ) )
= ( ( SV14 = SV86 )
| ( member_b @ SV14 @ SV135 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[683]) ).
thf(759,plain,
! [SV136: set_b,SV87: b,SV17: b] :
( ( ( insert_b @ SV17 @ ( insert_b @ SV87 @ SV136 ) )
= ( insert_b @ SV87 @ ( insert_b @ SV17 @ SV136 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[685]) ).
thf(760,plain,
! [SV89: b > $o,SV19: b] :
( ( ~ ( ( member_b @ SV19 @ ( collect_b @ SV89 ) )
| ( SV89 @ SV19 ) )
| ~ ( ~ ( member_b @ SV19 @ ( collect_b @ SV89 ) )
| ~ ( SV89 @ SV19 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[687]) ).
thf(761,plain,
! [SV89: b > $o,SV19: b] :
( ( ( member_b @ SV19 @ ( collect_b @ SV89 ) )
= ( SV89 @ SV19 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[687]) ).
thf(762,plain,
! [SV90: b] :
( ( ! [SV137: set_b] :
( ( insert_b @ SV90 @ SV137 )
= ( collect_b
@ ^ [SY362: b] :
( ( SY362 = SV90 )
| ( member_b @ SY362 @ SV137 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[688]) ).
thf(763,plain,
! [SV90: b] :
( ( ( insert_b @ SV90 )
= ( ^ [SY315: set_b] :
( collect_b
@ ^ [SY316: b] :
( ( SY316 = SV90 )
| ( member_b @ SY316 @ SY315 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[688]) ).
thf(764,plain,
! [SV91: b,SV22: b] :
( ( ~ ( ( member_b @ SV22 @ ( insert_b @ SV91 @ bot_bot_set_b ) )
| ( SV22 = SV91 ) )
| ~ ( ~ ( member_b @ SV22 @ ( insert_b @ SV91 @ bot_bot_set_b ) )
| ( SV22 != SV91 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[689]) ).
thf(765,plain,
! [SV91: b,SV22: b] :
( ( ( member_b @ SV22 @ ( insert_b @ SV91 @ bot_bot_set_b ) )
= ( SV22 = SV91 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[689]) ).
thf(766,plain,
! [SV23: b] :
( ( ( ~ ( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV23 @ bot_bot_set_b ) )
= bot_bot_set_b )
| ~ ( member_b @ SV23 @ ( labele1424214014nt_a_b @ g ) ) ) )
= $true )
| ( ( ~ ( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV23 @ bot_bot_set_b ) )
!= bot_bot_set_b )
| ~ ~ ( member_b @ SV23 @ ( labele1424214014nt_a_b @ g ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[690]) ).
thf(767,plain,
! [SV92: b] :
( ( ~ ( ( bot_bot_b_o @ SV92 )
| ( member_b @ SV92 @ bot_bot_set_b ) )
| ~ ( ~ ( bot_bot_b_o @ SV92 )
| ~ ( member_b @ SV92 @ bot_bot_set_b ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[692]) ).
thf(768,plain,
! [SV92: b] :
( ( ( bot_bot_b_o @ SV92 )
= ( member_b @ SV92 @ bot_bot_set_b ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[692]) ).
thf(769,plain,
! [SV93: set_Product_prod_b_b] :
( ( ! [SV138: b] :
( ( equiv_proj_b_b @ SV93 @ SV138 )
= ( image_b_b @ SV93 @ ( insert_b @ SV138 @ bot_bot_set_b ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[693]) ).
thf(770,plain,
! [SV93: set_Product_prod_b_b] :
( ( ( equiv_proj_b_b @ SV93 )
= ( ^ [SY317: b] : ( image_b_b @ SV93 @ ( insert_b @ SY317 @ bot_bot_set_b ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[693]) ).
thf(771,plain,
! [SV30: set_b] :
( ( ( ~ ( ( ord_less_eq_set_b @ SV30 @ bot_bot_set_b )
| ( SV30 = bot_bot_set_b ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV30 @ bot_bot_set_b )
| ( SV30 != bot_bot_set_b ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[694]) ).
thf(772,plain,
! [SV31: set_b] :
( ( ( ~ ( ( ord_less_eq_set_b @ SV31 @ bot_bot_set_b )
| ( SV31 = bot_bot_set_b ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV31 @ bot_bot_set_b )
| ( SV31 != bot_bot_set_b ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[696]) ).
thf(773,plain,
! [SV95: b,SV34: set_b] :
( ( ~ ( ( ord_less_eq_set_b @ SV34 @ ( insert_b @ SV95 @ bot_bot_set_b ) )
| ( SV34 = bot_bot_set_b )
| ( SV34
= ( insert_b @ SV95 @ bot_bot_set_b ) ) )
| ~ ( ~ ( ord_less_eq_set_b @ SV34 @ ( insert_b @ SV95 @ bot_bot_set_b ) )
| ~ ( ( SV34 = bot_bot_set_b )
| ( SV34
= ( insert_b @ SV95 @ bot_bot_set_b ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[699]) ).
thf(774,plain,
! [SV95: b,SV34: set_b] :
( ( ( ord_less_eq_set_b @ SV34 @ ( insert_b @ SV95 @ bot_bot_set_b ) )
= ( ( SV34 = bot_bot_set_b )
| ( SV34
= ( insert_b @ SV95 @ bot_bot_set_b ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[699]) ).
thf(775,plain,
! [SV35: $o] :
( ( ( ~ ( SV35
| $true )
| ~ ( ~ SV35
| ~ $true ) )
= $true )
| ( ( SV35 = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[700]) ).
thf(776,plain,
! [SV35: $o] :
( ( ( SV35 = $true )
= $true )
| ( ( SV35 = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[700]) ).
thf(781,plain,
! [SV36: set_b] :
( ( ( ! [SY224: b] :
~ ( member_b @ SY224 @ SV36 ) )
= $false )
| ( ( SV36 = bot_bot_set_b )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[703]) ).
thf(783,plain,
! [SV38: set_b] :
( ( ( is_singleton_b @ SV38 )
= $false )
| ( ( ~ ! [SY226: b] :
( SV38
!= ( insert_b @ SY226 @ bot_bot_set_b ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[705]) ).
thf(784,plain,
! [SV39: set_b] :
( ( ( ord_less_eq_set_b @ SV39 @ bot_bot_set_b )
= $false )
| ( ( SV39 = bot_bot_set_b )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[706]) ).
thf(786,plain,
! [SV97: set_b,SV41: b] :
( ( ( ~ ( member_b @ SV41 @ SV97 ) )
= $true )
| ( ( ~ ! [SY318: set_b] :
~ ~ ( ( SV97
!= ( insert_b @ SV41 @ SY318 ) )
| ~ ~ ( member_b @ SV41 @ SY318 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[708]) ).
thf(787,plain,
! [SV139: b,SV98: set_b,SV42: set_b] :
( ( ~ ( ord_less_eq_set_b @ SV42 @ SV98 )
| ( ord_less_eq_set_b @ ( insert_b @ SV139 @ SV42 ) @ ( insert_b @ SV139 @ SV98 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[709]) ).
thf(788,plain,
! [SV43: b] :
( ( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV43 @ bot_bot_set_b ) )
!= bot_bot_set_b )
= $false )
| ( ( ( hilbert_Eps_b @ ( p @ ( hilbert_Eps_b @ ( p @ SV43 ) ) ) )
= ( hilbert_Eps_b @ ( p @ SV43 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[710]) ).
thf(789,plain,
! [SV99: b,SV44: b > $o] :
( ( ~ ( ~ ( SV44 @ SV99 )
| ( ( collect_b
@ ^ [SY320: b] :
~ ( ( SV99 != SY320 )
| ~ ( SV44 @ SY320 ) ) )
= ( insert_b @ SV99 @ bot_bot_set_b ) ) )
| ~ ( ~ ~ ( SV44 @ SV99 )
| ( ( collect_b
@ ^ [SY321: b] :
~ ( ( SV99 != SY321 )
| ~ ( SV44 @ SY321 ) ) )
= bot_bot_set_b ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[711]) ).
thf(790,plain,
! [SV100: set_b,SV45: b] :
( ( ( ~ ( member_b @ SV45 @ SV100 ) )
= $true )
| ( ( ( insert_b @ SV45 @ SV100 )
= SV100 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[712]) ).
thf(791,plain,
! [SV101: set_b] :
( ( ! [SV140: set_b] :
( ( ord_less_eq_set_b @ SV101 @ SV140 )
= ( ! [SY363: b] :
( ~ ( member_b @ SY363 @ SV101 )
| ( member_b @ SY363 @ SV140 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[713]) ).
thf(792,plain,
! [SV101: set_b] :
( ( ( ord_less_eq_set_b @ SV101 )
= ( ^ [SY322: set_b] :
! [SY323: b] :
( ~ ( member_b @ SY323 @ SV101 )
| ( member_b @ SY323 @ SY322 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[713]) ).
thf(793,plain,
! [SV141: set_b,SV102: set_b,SV47: b] :
( ( ~ ~ ( member_b @ SV47 @ SV102 )
| ( ( ord_less_eq_set_b @ SV102 @ ( insert_b @ SV47 @ SV141 ) )
= ( ord_less_eq_set_b @ SV102 @ SV141 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[714]) ).
thf(794,plain,
! [SV142: b,SV103: set_b,SV48: b] :
( ( ~ ( member_b @ SV48 @ SV103 )
| ( member_b @ SV48 @ ( insert_b @ SV142 @ SV103 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[715]) ).
thf(795,plain,
! [SV104: set_b,SV49: b] :
( ( ( ~ ( member_b @ SV49 @ SV104 ) )
= $true )
| ( ( ~ ! [SY326: set_b] :
( ( SV104
!= ( insert_b @ SV49 @ SY326 ) )
| ( member_b @ SV49 @ SY326 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[716]) ).
thf(796,plain,
! [SV50: set_b] :
( ( ( SV50 != bot_bot_set_b )
= $false )
| ( ( ~ ! [SY244: b,SY245: b] :
( ~ ( member_b @ SY244 @ SV50 )
| ~ ( member_b @ SY245 @ SV50 )
| ( SY244 = SY245 ) )
| ( is_singleton_b @ SV50 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[717]) ).
thf(797,plain,
! [SV143: b > $o,SV105: b,SV51: b > $o] :
( ( ~ ( SV51 @ SV105 )
| ~ ! [SY364: b] :
( ~ ( SV51 @ SY364 )
| ( SV143 @ SY364 ) )
| ( SV143 @ ( hilbert_Eps_b @ SV51 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[718]) ).
thf(798,plain,
! [SV144: b,SV106: set_b,SV52: set_b] :
( ( ~ ( ord_less_eq_set_b @ SV52 @ SV106 )
| ( ord_less_eq_set_b @ SV52 @ ( insert_b @ SV144 @ SV106 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[719]) ).
thf(799,plain,
! [SV145: set_b,SV107: set_b,SV53: b] :
( ( ( ord_less_eq_set_b @ ( insert_b @ SV53 @ SV107 ) @ SV145 )
= ( ~ ( ~ ( member_b @ SV53 @ SV145 )
| ~ ( ord_less_eq_set_b @ SV107 @ SV145 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[720]) ).
thf(800,plain,
! [SV146: b,SV108: set_b,SV54: b] :
( ( ( ( insert_b @ SV54 @ SV108 )
= ( insert_b @ SV146 @ bot_bot_set_b ) )
= ( ~ ( ( SV54 != SV146 )
| ~ ( ord_less_eq_set_b @ SV108 @ ( insert_b @ SV146 @ bot_bot_set_b ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[721]) ).
thf(801,plain,
! [SV109: set_b] :
( ( ~ ( ( is_singleton_b @ SV109 )
| ~ ! [SY332: b] :
( SV109
!= ( insert_b @ SY332 @ bot_bot_set_b ) ) )
| ~ ( ~ ( is_singleton_b @ SV109 )
| ~ ~ ! [SY332: b] :
( SV109
!= ( insert_b @ SY332 @ bot_bot_set_b ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[722]) ).
thf(802,plain,
! [SV109: set_b] :
( ( ( is_singleton_b @ SV109 )
= ( ~ ! [SY332: b] :
( SV109
!= ( insert_b @ SY332 @ bot_bot_set_b ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[722]) ).
thf(803,plain,
! [SV147: set_b,SV110: set_b,SV56: b] :
( ( ~ ~ ( member_b @ SV56 @ SV110 )
| ~ ~ ( member_b @ SV56 @ SV147 )
| ( ( ( insert_b @ SV56 @ SV110 )
= ( insert_b @ SV56 @ SV147 ) )
= ( SV110 = SV147 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[723]) ).
thf(804,plain,
! [SV111: b,SV57: set_b] :
( ( ( SV57 != bot_bot_set_b )
= $true )
| ( ( ~ ( member_b @ SV111 @ SV57 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[724]) ).
thf(805,plain,
! [SV58: b > $o] :
( ( ( ~ ( ( SV58 @ ( hilbert_Eps_b @ SV58 ) )
| ~ ! [SY259: b] :
~ ( SV58 @ SY259 ) ) )
= $true )
| ( ( ~ ( ~ ( SV58 @ ( hilbert_Eps_b @ SV58 ) )
| ~ ~ ! [SY259: b] :
~ ( SV58 @ SY259 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[725]) ).
thf(806,plain,
! [SV148: b,SV112: b,SV59: b] :
( ( ! [SY365: b] :
( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
= ( insert_b @ SV148 @ ( insert_b @ SY365 @ bot_bot_set_b ) ) )
= ( ~ ( ( SV59 != SV148 )
| ( SV112 != SY365 ) )
| ~ ( ( SV59 != SY365 )
| ( SV112 != SV148 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[727]) ).
thf(807,plain,
! [SV113: b,SV60: b > $o] :
( ( ( ~ ( SV60 @ SV113 ) )
= $true )
| ( ( ~ ! [SY336: b] :
( ~ ( SV60 @ SY336 )
| ( SY336 = SV113 ) )
| ( ( hilbert_Eps_b @ SV60 )
= SV113 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[728]) ).
thf(808,plain,
! [SV149: set_b,SV114: b,SV61: b] :
( ( ~ ( member_b @ SV61 @ ( insert_b @ SV114 @ SV149 ) )
| ~ ( ( SV61 != SV114 ) )
| ( member_b @ SV61 @ SV149 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[729]) ).
thf(809,plain,
! [SV115: b,SV62: b > $o] :
( ( ( ~ ~ ! [SY268: b] :
~ ~ ( ~ ( SV62 @ SY268 )
| ~ ! [SY269: b] :
( ~ ( SV62 @ SY269 )
| ( SY269 = SY268 ) ) ) )
= $true )
| ( ( ~ ( SV62 @ SV115 )
| ( ( hilbert_Eps_b @ SV62 )
= SV115 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[730]) ).
thf(810,plain,
! [SV150: b,SV116: set_Product_prod_b_b,SV63: set_b] :
( ( ~ ( equiv_equiv_b @ SV63 @ SV116 )
| ~ ( member_b @ SV150 @ SV63 )
| ( member_b @ SV150 @ ( image_b_b @ SV116 @ ( insert_b @ SV150 @ bot_bot_set_b ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[731]) ).
thf(811,plain,
! [SV151: set_b,SV117: b,SV64: b] :
( ( ( ( insert_b @ SV64 @ bot_bot_set_b )
= ( insert_b @ SV117 @ SV151 ) )
= ( ~ ( ( SV117 != SV64 )
| ~ ( ord_less_eq_set_b @ SV151 @ ( insert_b @ SV64 @ bot_bot_set_b ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[732]) ).
thf(812,plain,
! [SV65: set_b] :
( ( ( ~ ( ~ ! [SY274: b] :
~ ( member_b @ SY274 @ SV65 )
| ( SV65 != bot_bot_set_b ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY274: b] :
~ ( member_b @ SY274 @ SV65 )
| ~ ( ( SV65 != bot_bot_set_b ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[733]) ).
thf(813,plain,
! [SV152: b,SV118: set_b,SV66: b] :
( ( ~ ( ~ ~ ( member_b @ SV66 @ SV118 )
| ( SV66 = SV152 ) )
| ( member_b @ SV66 @ ( insert_b @ SV152 @ SV118 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[735]) ).
thf(814,plain,
! [SV119: b,SV67: b] :
( ( ( ~ ( member_b @ SV67 @ ( insert_b @ SV119 @ bot_bot_set_b ) ) )
= $true )
| ( ( SV67 = SV119 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[736]) ).
thf(815,plain,
! [SV120: b > $o,SV68: b > $o] :
( ( ( ~ ~ ! [SY279: b] :
~ ( SV68 @ SY279 ) )
= $true )
| ( ( ~ ! [SY344: b] :
( ~ ( SV68 @ SY344 )
| ( SV120 @ SY344 ) )
| ( SV120 @ ( hilbert_Eps_b @ SV68 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[737]) ).
thf(816,plain,
! [SV121: set_b,SV69: set_b] :
( ( ( ~ ! [SY345: b] :
( ~ ( member_b @ SY345 @ SV69 )
| ( member_b @ SY345 @ SV121 ) ) )
= $true )
| ( ( ord_less_eq_set_b @ SV69 @ SV121 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[738]) ).
thf(817,plain,
! [SV70: set_b] :
( ( ( ~ ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SY283: b] : ( member_b @ SY283 @ SV70 ) )
@ SV70 )
| ( SV70 != bot_bot_set_b ) ) )
= $true )
| ( ( ~ ( ~ ( member_b
@ ( hilbert_Eps_b
@ ^ [SY283: b] : ( member_b @ SY283 @ SV70 ) )
@ SV70 )
| ~ ( ( SV70 != bot_bot_set_b ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[739]) ).
thf(818,plain,
! [SV122: set_b,SV71: b] :
( ( ( insert_b @ SV71 @ SV122 )
= bot_bot_set_b )
= $false ),
inference(extcnf_not_pos,[status(thm)],[741]) ).
thf(819,plain,
! [SV153: b,SV123: set_b,SV72: b] :
( ( ! [SY366: set_b] :
( ~ ~ ( member_b @ SV72 @ SV123 )
| ~ ~ ( member_b @ SV153 @ SY366 )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SY366 ) )
= ( ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SY366 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY367: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY367 ) )
| ~ ~ ( member_b @ SV153 @ SY367 ) )
| ( SY366
!= ( insert_b @ SV72 @ SY367 ) ) )
| ~ ~ ( member_b @ SV72 @ SY367 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[742]) ).
thf(820,plain,
! [SV124: b,SV73: b > $o] :
( ( ~ ( ~ ( SV73 @ SV124 )
| ( ( collect_b
@ ^ [SY349: b] :
~ ( ( SY349 != SV124 )
| ~ ( SV73 @ SY349 ) ) )
= ( insert_b @ SV124 @ bot_bot_set_b ) ) )
| ~ ( ~ ~ ( SV73 @ SV124 )
| ( ( collect_b
@ ^ [SY350: b] :
~ ( ( SY350 != SV124 )
| ~ ( SV73 @ SY350 ) ) )
= bot_bot_set_b ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[743]) ).
thf(821,plain,
! [SV154: b,SV125: b,SV74: b > $o] :
( ( ( ( hilbert_Eps_b @ SV74 )
!= SV125 )
| ~ ( SV74 @ SV154 )
| ( SV74 @ SV125 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[744]) ).
thf(822,plain,
! [SV155: b,SV126: set_b,SV75: set_b] :
( ( ~ ( ord_less_eq_set_b @ SV75 @ SV126 )
| ~ ( member_b @ SV155 @ SV75 )
| ( member_b @ SV155 @ SV126 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[745]) ).
thf(823,plain,
! [SV127: b,SV76: b] :
( ( ( ( insert_b @ SV76 @ bot_bot_set_b )
!= ( insert_b @ SV127 @ bot_bot_set_b ) )
= $true )
| ( ( SV76 = SV127 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[746]) ).
thf(824,plain,
! [SV156: b,SV128: set_b,SV77: set_b] :
( ( ~ ( ord_less_eq_set_b @ SV77 @ SV128 )
| ~ ( member_b @ SV156 @ SV77 )
| ( member_b @ SV156 @ SV128 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[747]) ).
thf(825,plain,
! [SV129: b > $o,SV78: b > $o] :
( ( ( ~ ! [SY354: b] :
( ( SV78 @ SY354 )
= ( SV129 @ SY354 ) ) )
= $true )
| ( ( ( hilbert_Eps_b @ SV78 )
= ( hilbert_Eps_b @ SV129 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[748]) ).
thf(826,plain,
! [SV157: b > $o,SV130: b > $o,SV79: set_b] :
( ( ~ ~ ! [SY356: b] :
~ ~ ( ~ ( member_b @ SY356 @ SV79 )
| ~ ( SV130 @ SY356 ) )
| ~ ! [SY369: b] :
( ~ ~ ( ~ ( member_b @ SY369 @ SV79 )
| ~ ( SV130 @ SY369 ) )
| ( SV157 @ SY369 ) )
| ( SV157
@ ( hilbert_Eps_b
@ ^ [SY358: b] :
~ ( ~ ( member_b @ SY358 @ SV79 )
| ~ ( SV130 @ SY358 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[749]) ).
thf(828,plain,
! [SV132: set_b] :
( ( ! [SV158: set_b] :
( ( ord_less_eq_set_b @ SV132 @ SV158 )
= ( ! [SY371: b] :
( ~ ( member_b @ SY371 @ SV132 )
| ( member_b @ SY371 @ SV158 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[751]) ).
thf(829,plain,
! [SV132: set_b] :
( ( ( ord_less_eq_set_b @ SV132 )
= ( ^ [SY359: set_b] :
! [SY360: b] :
( ~ ( member_b @ SY360 @ SV132 )
| ( member_b @ SY360 @ SY359 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[751]) ).
thf(830,plain,
! [SV159: b,SV83: b] :
( ( ( p @ SV83 @ SV159 )
= ( member_b @ SV159 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV83 @ bot_bot_set_b ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[753]) ).
thf(831,plain,
! [SV9: b > $o] :
( ( ( ( bot_bot_set_b
= ( collect_b @ SV9 ) )
| ! [SY206: b] :
~ ( SV9 @ SY206 ) )
= $false )
| ( ( ~ ( ( bot_bot_set_b
!= ( collect_b @ SV9 ) )
| ~ ! [SY206: b] :
~ ( SV9 @ SY206 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[755]) ).
thf(832,plain,
! [SV10: b > $o] :
( ( ( ( ( collect_b @ SV10 )
= bot_bot_set_b )
| ! [SY207: b] :
~ ( SV10 @ SY207 ) )
= $false )
| ( ( ~ ( ( ( collect_b @ SV10 )
!= bot_bot_set_b )
| ~ ! [SY207: b] :
~ ( SV10 @ SY207 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[756]) ).
thf(833,plain,
! [SV11: set_b] :
( ( ( ! [SY208: b] :
~ ( member_b @ SY208 @ SV11 )
| ( SV11 = bot_bot_set_b ) )
= $false )
| ( ( ~ ( ~ ! [SY208: b] :
~ ( member_b @ SY208 @ SV11 )
| ( SV11 != bot_bot_set_b ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[757]) ).
thf(834,plain,
! [SV135: set_b,SV86: b,SV14: b] :
( ( ~ ( ( member_b @ SV14 @ ( insert_b @ SV86 @ SV135 ) )
| ( SV14 = SV86 )
| ( member_b @ SV14 @ SV135 ) )
| ~ ( ~ ( member_b @ SV14 @ ( insert_b @ SV86 @ SV135 ) )
| ~ ( ( SV14 = SV86 )
| ( member_b @ SV14 @ SV135 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[758]) ).
thf(835,plain,
! [SV135: set_b,SV86: b,SV14: b] :
( ( ( member_b @ SV14 @ ( insert_b @ SV86 @ SV135 ) )
= ( ( SV14 = SV86 )
| ( member_b @ SV14 @ SV135 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[758]) ).
thf(836,plain,
! [SV89: b > $o,SV19: b] :
( ( ( ~ ( ( member_b @ SV19 @ ( collect_b @ SV89 ) )
| ( SV89 @ SV19 ) ) )
= $true )
| ( ( ~ ( ~ ( member_b @ SV19 @ ( collect_b @ SV89 ) )
| ~ ( SV89 @ SV19 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[760]) ).
thf(837,plain,
! [SV160: set_b,SV90: b] :
( ( ( insert_b @ SV90 @ SV160 )
= ( collect_b
@ ^ [SY372: b] :
( ( SY372 = SV90 )
| ( member_b @ SY372 @ SV160 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[762]) ).
thf(838,plain,
! [SV91: b,SV22: b] :
( ( ( ~ ( ( member_b @ SV22 @ ( insert_b @ SV91 @ bot_bot_set_b ) )
| ( SV22 = SV91 ) ) )
= $true )
| ( ( ~ ( ~ ( member_b @ SV22 @ ( insert_b @ SV91 @ bot_bot_set_b ) )
| ( SV22 != SV91 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[764]) ).
thf(839,plain,
! [SV23: b] :
( ( ( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV23 @ bot_bot_set_b ) )
= bot_bot_set_b )
| ~ ( member_b @ SV23 @ ( labele1424214014nt_a_b @ g ) ) )
= $false )
| ( ( ~ ( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV23 @ bot_bot_set_b ) )
!= bot_bot_set_b )
| ~ ~ ( member_b @ SV23 @ ( labele1424214014nt_a_b @ g ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[766]) ).
thf(840,plain,
! [SV92: b] :
( ( ( ~ ( ( bot_bot_b_o @ SV92 )
| ( member_b @ SV92 @ bot_bot_set_b ) ) )
= $true )
| ( ( ~ ( ~ ( bot_bot_b_o @ SV92 )
| ~ ( member_b @ SV92 @ bot_bot_set_b ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[767]) ).
thf(841,plain,
! [SV161: b,SV93: set_Product_prod_b_b] :
( ( ( equiv_proj_b_b @ SV93 @ SV161 )
= ( image_b_b @ SV93 @ ( insert_b @ SV161 @ bot_bot_set_b ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[769]) ).
thf(842,plain,
! [SV30: set_b] :
( ( ( ( ord_less_eq_set_b @ SV30 @ bot_bot_set_b )
| ( SV30 = bot_bot_set_b ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV30 @ bot_bot_set_b )
| ( SV30 != bot_bot_set_b ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[771]) ).
thf(843,plain,
! [SV31: set_b] :
( ( ( ( ord_less_eq_set_b @ SV31 @ bot_bot_set_b )
| ( SV31 = bot_bot_set_b ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV31 @ bot_bot_set_b )
| ( SV31 != bot_bot_set_b ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[772]) ).
thf(844,plain,
! [SV95: b,SV34: set_b] :
( ( ( ~ ( ( ord_less_eq_set_b @ SV34 @ ( insert_b @ SV95 @ bot_bot_set_b ) )
| ( SV34 = bot_bot_set_b )
| ( SV34
= ( insert_b @ SV95 @ bot_bot_set_b ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV34 @ ( insert_b @ SV95 @ bot_bot_set_b ) )
| ~ ( ( SV34 = bot_bot_set_b )
| ( SV34
= ( insert_b @ SV95 @ bot_bot_set_b ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[773]) ).
thf(845,plain,
! [SV35: $o] :
( ( ( ~ ( SV35
| $true ) )
= $true )
| ( ( ~ ( ~ SV35
| ~ $true ) )
= $true )
| ( ( SV35 = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[775]) ).
thf(846,plain,
! [SV35: $o] :
( ( ( ~ ( SV35
| $false )
| ~ ( ~ SV35
| ~ $false ) )
= $true )
| ( ( SV35 = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[776]) ).
thf(847,plain,
! [SV35: $o] :
( ( ( SV35 = $false )
= $true )
| ( ( SV35 = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[776]) ).
thf(854,plain,
! [SV36: set_b] :
( ( ( ~ ( member_b @ ( sK1_SY224 @ SV36 ) @ SV36 ) )
= $false )
| ( ( SV36 = bot_bot_set_b )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[781]) ).
thf(856,plain,
! [SV38: set_b] :
( ( ( ! [SY226: b] :
( SV38
!= ( insert_b @ SY226 @ bot_bot_set_b ) ) )
= $false )
| ( ( is_singleton_b @ SV38 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[783]) ).
thf(858,plain,
! [SV97: set_b,SV41: b] :
( ( ( member_b @ SV41 @ SV97 )
= $false )
| ( ( ~ ! [SY318: set_b] :
~ ~ ( ( SV97
!= ( insert_b @ SV41 @ SY318 ) )
| ~ ~ ( member_b @ SV41 @ SY318 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[786]) ).
thf(859,plain,
! [SV139: b,SV98: set_b,SV42: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV42 @ SV98 ) )
= $true )
| ( ( ord_less_eq_set_b @ ( insert_b @ SV139 @ SV42 ) @ ( insert_b @ SV139 @ SV98 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[787]) ).
thf(860,plain,
! [SV43: b] :
( ( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV43 @ bot_bot_set_b ) )
= bot_bot_set_b )
= $true )
| ( ( ( hilbert_Eps_b @ ( p @ ( hilbert_Eps_b @ ( p @ SV43 ) ) ) )
= ( hilbert_Eps_b @ ( p @ SV43 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[788]) ).
thf(861,plain,
! [SV99: b,SV44: b > $o] :
( ( ~ ( ~ ( SV44 @ SV99 )
| ( ( collect_b
@ ^ [SY320: b] :
~ ( ( SV99 != SY320 )
| ~ ( SV44 @ SY320 ) ) )
= ( insert_b @ SV99 @ bot_bot_set_b ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[789]) ).
thf(862,plain,
! [SV99: b,SV44: b > $o] :
( ( ~ ( ~ ~ ( SV44 @ SV99 )
| ( ( collect_b
@ ^ [SY321: b] :
~ ( ( SV99 != SY321 )
| ~ ( SV44 @ SY321 ) ) )
= bot_bot_set_b ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[789]) ).
thf(863,plain,
! [SV100: set_b,SV45: b] :
( ( ( member_b @ SV45 @ SV100 )
= $false )
| ( ( ( insert_b @ SV45 @ SV100 )
= SV100 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[790]) ).
thf(864,plain,
! [SV162: set_b,SV101: set_b] :
( ( ( ord_less_eq_set_b @ SV101 @ SV162 )
= ( ! [SY373: b] :
( ~ ( member_b @ SY373 @ SV101 )
| ( member_b @ SY373 @ SV162 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[791]) ).
thf(865,plain,
! [SV141: set_b,SV102: set_b,SV47: b] :
( ( ( ~ ~ ( member_b @ SV47 @ SV102 ) )
= $true )
| ( ( ( ord_less_eq_set_b @ SV102 @ ( insert_b @ SV47 @ SV141 ) )
= ( ord_less_eq_set_b @ SV102 @ SV141 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[793]) ).
thf(866,plain,
! [SV142: b,SV103: set_b,SV48: b] :
( ( ( ~ ( member_b @ SV48 @ SV103 ) )
= $true )
| ( ( member_b @ SV48 @ ( insert_b @ SV142 @ SV103 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[794]) ).
thf(867,plain,
! [SV104: set_b,SV49: b] :
( ( ( member_b @ SV49 @ SV104 )
= $false )
| ( ( ~ ! [SY326: set_b] :
( ( SV104
!= ( insert_b @ SV49 @ SY326 ) )
| ( member_b @ SV49 @ SY326 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[795]) ).
thf(868,plain,
! [SV50: set_b] :
( ( ( SV50 = bot_bot_set_b )
= $true )
| ( ( ~ ! [SY244: b,SY245: b] :
( ~ ( member_b @ SY244 @ SV50 )
| ~ ( member_b @ SY245 @ SV50 )
| ( SY244 = SY245 ) )
| ( is_singleton_b @ SV50 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[796]) ).
thf(869,plain,
! [SV143: b > $o,SV105: b,SV51: b > $o] :
( ( ( ~ ( SV51 @ SV105 ) )
= $true )
| ( ( ~ ! [SY364: b] :
( ~ ( SV51 @ SY364 )
| ( SV143 @ SY364 ) )
| ( SV143 @ ( hilbert_Eps_b @ SV51 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[797]) ).
thf(870,plain,
! [SV144: b,SV106: set_b,SV52: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV52 @ SV106 ) )
= $true )
| ( ( ord_less_eq_set_b @ SV52 @ ( insert_b @ SV144 @ SV106 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[798]) ).
thf(871,plain,
! [SV145: set_b,SV107: set_b,SV53: b] :
( ( ~ ( ( ord_less_eq_set_b @ ( insert_b @ SV53 @ SV107 ) @ SV145 )
| ~ ( ~ ( member_b @ SV53 @ SV145 )
| ~ ( ord_less_eq_set_b @ SV107 @ SV145 ) ) )
| ~ ( ~ ( ord_less_eq_set_b @ ( insert_b @ SV53 @ SV107 ) @ SV145 )
| ~ ~ ( ~ ( member_b @ SV53 @ SV145 )
| ~ ( ord_less_eq_set_b @ SV107 @ SV145 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[799]) ).
thf(872,plain,
! [SV145: set_b,SV107: set_b,SV53: b] :
( ( ( ord_less_eq_set_b @ ( insert_b @ SV53 @ SV107 ) @ SV145 )
= ( ~ ( ~ ( member_b @ SV53 @ SV145 )
| ~ ( ord_less_eq_set_b @ SV107 @ SV145 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[799]) ).
thf(873,plain,
! [SV146: b,SV108: set_b,SV54: b] :
( ( ~ ( ( ( insert_b @ SV54 @ SV108 )
= ( insert_b @ SV146 @ bot_bot_set_b ) )
| ~ ( ( SV54 != SV146 )
| ~ ( ord_less_eq_set_b @ SV108 @ ( insert_b @ SV146 @ bot_bot_set_b ) ) ) )
| ~ ( ( ( insert_b @ SV54 @ SV108 )
!= ( insert_b @ SV146 @ bot_bot_set_b ) )
| ~ ~ ( ( SV54 != SV146 )
| ~ ( ord_less_eq_set_b @ SV108 @ ( insert_b @ SV146 @ bot_bot_set_b ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[800]) ).
thf(874,plain,
! [SV146: b,SV108: set_b,SV54: b] :
( ( ( ( insert_b @ SV54 @ SV108 )
= ( insert_b @ SV146 @ bot_bot_set_b ) )
= ( ~ ( ( SV54 != SV146 )
| ~ ( ord_less_eq_set_b @ SV108 @ ( insert_b @ SV146 @ bot_bot_set_b ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[800]) ).
thf(875,plain,
! [SV109: set_b] :
( ( ( ~ ( ( is_singleton_b @ SV109 )
| ~ ! [SY332: b] :
( SV109
!= ( insert_b @ SY332 @ bot_bot_set_b ) ) ) )
= $true )
| ( ( ~ ( ~ ( is_singleton_b @ SV109 )
| ~ ~ ! [SY332: b] :
( SV109
!= ( insert_b @ SY332 @ bot_bot_set_b ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[801]) ).
thf(876,plain,
! [SV147: set_b,SV110: set_b,SV56: b] :
( ( ( ~ ~ ( member_b @ SV56 @ SV110 ) )
= $true )
| ( ( ~ ~ ( member_b @ SV56 @ SV147 )
| ( ( ( insert_b @ SV56 @ SV110 )
= ( insert_b @ SV56 @ SV147 ) )
= ( SV110 = SV147 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[803]) ).
thf(877,plain,
! [SV111: b,SV57: set_b] :
( ( ( SV57 = bot_bot_set_b )
= $false )
| ( ( ~ ( member_b @ SV111 @ SV57 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[804]) ).
thf(878,plain,
! [SV58: b > $o] :
( ( ( ( SV58 @ ( hilbert_Eps_b @ SV58 ) )
| ~ ! [SY259: b] :
~ ( SV58 @ SY259 ) )
= $false )
| ( ( ~ ( ~ ( SV58 @ ( hilbert_Eps_b @ SV58 ) )
| ~ ~ ! [SY259: b] :
~ ( SV58 @ SY259 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[805]) ).
thf(879,plain,
! [SV163: b,SV148: b,SV112: b,SV59: b] :
( ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
= ( ~ ( ( SV59 != SV148 )
| ( SV112 != SV163 ) )
| ~ ( ( SV59 != SV163 )
| ( SV112 != SV148 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[806]) ).
thf(880,plain,
! [SV113: b,SV60: b > $o] :
( ( ( SV60 @ SV113 )
= $false )
| ( ( ~ ! [SY336: b] :
( ~ ( SV60 @ SY336 )
| ( SY336 = SV113 ) )
| ( ( hilbert_Eps_b @ SV60 )
= SV113 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[807]) ).
thf(881,plain,
! [SV149: set_b,SV114: b,SV61: b] :
( ( ( ~ ( member_b @ SV61 @ ( insert_b @ SV114 @ SV149 ) ) )
= $true )
| ( ( ~ ( ( SV61 != SV114 ) )
| ( member_b @ SV61 @ SV149 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[808]) ).
thf(882,plain,
! [SV115: b,SV62: b > $o] :
( ( ( ~ ! [SY268: b] :
~ ~ ( ~ ( SV62 @ SY268 )
| ~ ! [SY269: b] :
( ~ ( SV62 @ SY269 )
| ( SY269 = SY268 ) ) ) )
= $false )
| ( ( ~ ( SV62 @ SV115 )
| ( ( hilbert_Eps_b @ SV62 )
= SV115 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[809]) ).
thf(883,plain,
! [SV150: b,SV116: set_Product_prod_b_b,SV63: set_b] :
( ( ( ~ ( equiv_equiv_b @ SV63 @ SV116 ) )
= $true )
| ( ( ~ ( member_b @ SV150 @ SV63 )
| ( member_b @ SV150 @ ( image_b_b @ SV116 @ ( insert_b @ SV150 @ bot_bot_set_b ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[810]) ).
thf(884,plain,
! [SV151: set_b,SV117: b,SV64: b] :
( ( ~ ( ( ( insert_b @ SV64 @ bot_bot_set_b )
= ( insert_b @ SV117 @ SV151 ) )
| ~ ( ( SV117 != SV64 )
| ~ ( ord_less_eq_set_b @ SV151 @ ( insert_b @ SV64 @ bot_bot_set_b ) ) ) )
| ~ ( ( ( insert_b @ SV64 @ bot_bot_set_b )
!= ( insert_b @ SV117 @ SV151 ) )
| ~ ~ ( ( SV117 != SV64 )
| ~ ( ord_less_eq_set_b @ SV151 @ ( insert_b @ SV64 @ bot_bot_set_b ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[811]) ).
thf(885,plain,
! [SV151: set_b,SV117: b,SV64: b] :
( ( ( ( insert_b @ SV64 @ bot_bot_set_b )
= ( insert_b @ SV117 @ SV151 ) )
= ( ~ ( ( SV117 != SV64 )
| ~ ( ord_less_eq_set_b @ SV151 @ ( insert_b @ SV64 @ bot_bot_set_b ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[811]) ).
thf(886,plain,
! [SV65: set_b] :
( ( ( ~ ! [SY274: b] :
~ ( member_b @ SY274 @ SV65 )
| ( SV65 != bot_bot_set_b ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY274: b] :
~ ( member_b @ SY274 @ SV65 )
| ~ ( ( SV65 != bot_bot_set_b ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[812]) ).
thf(887,plain,
! [SV152: b,SV118: set_b,SV66: b] :
( ( ( ~ ( ~ ~ ( member_b @ SV66 @ SV118 )
| ( SV66 = SV152 ) ) )
= $true )
| ( ( member_b @ SV66 @ ( insert_b @ SV152 @ SV118 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[813]) ).
thf(888,plain,
! [SV119: b,SV67: b] :
( ( ( member_b @ SV67 @ ( insert_b @ SV119 @ bot_bot_set_b ) )
= $false )
| ( ( SV67 = SV119 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[814]) ).
thf(889,plain,
! [SV120: b > $o,SV68: b > $o] :
( ( ( ~ ! [SY279: b] :
~ ( SV68 @ SY279 ) )
= $false )
| ( ( ~ ! [SY344: b] :
( ~ ( SV68 @ SY344 )
| ( SV120 @ SY344 ) )
| ( SV120 @ ( hilbert_Eps_b @ SV68 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[815]) ).
thf(890,plain,
! [SV121: set_b,SV69: set_b] :
( ( ( ! [SY345: b] :
( ~ ( member_b @ SY345 @ SV69 )
| ( member_b @ SY345 @ SV121 ) ) )
= $false )
| ( ( ord_less_eq_set_b @ SV69 @ SV121 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[816]) ).
thf(891,plain,
! [SV70: set_b] :
( ( ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SY283: b] : ( member_b @ SY283 @ SV70 ) )
@ SV70 )
| ( SV70 != bot_bot_set_b ) )
= $false )
| ( ( ~ ( ~ ( member_b
@ ( hilbert_Eps_b
@ ^ [SY283: b] : ( member_b @ SY283 @ SV70 ) )
@ SV70 )
| ~ ( ( SV70 != bot_bot_set_b ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[817]) ).
thf(892,plain,
! [SV164: set_b,SV153: b,SV123: set_b,SV72: b] :
( ( ~ ~ ( member_b @ SV72 @ SV123 )
| ~ ~ ( member_b @ SV153 @ SV164 )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= ( ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[819]) ).
thf(893,plain,
! [SV124: b,SV73: b > $o] :
( ( ~ ( ~ ( SV73 @ SV124 )
| ( ( collect_b
@ ^ [SY349: b] :
~ ( ( SY349 != SV124 )
| ~ ( SV73 @ SY349 ) ) )
= ( insert_b @ SV124 @ bot_bot_set_b ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[820]) ).
thf(894,plain,
! [SV124: b,SV73: b > $o] :
( ( ~ ( ~ ~ ( SV73 @ SV124 )
| ( ( collect_b
@ ^ [SY350: b] :
~ ( ( SY350 != SV124 )
| ~ ( SV73 @ SY350 ) ) )
= bot_bot_set_b ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[820]) ).
thf(895,plain,
! [SV154: b,SV125: b,SV74: b > $o] :
( ( ( ( hilbert_Eps_b @ SV74 )
!= SV125 )
= $true )
| ( ( ~ ( SV74 @ SV154 )
| ( SV74 @ SV125 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[821]) ).
thf(896,plain,
! [SV155: b,SV126: set_b,SV75: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV75 @ SV126 ) )
= $true )
| ( ( ~ ( member_b @ SV155 @ SV75 )
| ( member_b @ SV155 @ SV126 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[822]) ).
thf(897,plain,
! [SV127: b,SV76: b] :
( ( ( ( insert_b @ SV76 @ bot_bot_set_b )
= ( insert_b @ SV127 @ bot_bot_set_b ) )
= $false )
| ( ( SV76 = SV127 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[823]) ).
thf(898,plain,
! [SV156: b,SV128: set_b,SV77: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV77 @ SV128 ) )
= $true )
| ( ( ~ ( member_b @ SV156 @ SV77 )
| ( member_b @ SV156 @ SV128 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[824]) ).
thf(899,plain,
! [SV129: b > $o,SV78: b > $o] :
( ( ( ! [SY354: b] :
( ( SV78 @ SY354 )
= ( SV129 @ SY354 ) ) )
= $false )
| ( ( ( hilbert_Eps_b @ SV78 )
= ( hilbert_Eps_b @ SV129 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[825]) ).
thf(900,plain,
! [SV157: b > $o,SV130: b > $o,SV79: set_b] :
( ( ( ~ ~ ! [SY356: b] :
~ ~ ( ~ ( member_b @ SY356 @ SV79 )
| ~ ( SV130 @ SY356 ) ) )
= $true )
| ( ( ~ ! [SY369: b] :
( ~ ~ ( ~ ( member_b @ SY369 @ SV79 )
| ~ ( SV130 @ SY369 ) )
| ( SV157 @ SY369 ) )
| ( SV157
@ ( hilbert_Eps_b
@ ^ [SY358: b] :
~ ( ~ ( member_b @ SY358 @ SV79 )
| ~ ( SV130 @ SY358 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[826]) ).
thf(902,plain,
! [SV165: set_b,SV132: set_b] :
( ( ( ord_less_eq_set_b @ SV132 @ SV165 )
= ( ! [SY375: b] :
( ~ ( member_b @ SY375 @ SV132 )
| ( member_b @ SY375 @ SV165 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[828]) ).
thf(903,plain,
! [SV159: b,SV83: b] :
( ( ~ ( ( p @ SV83 @ SV159 )
| ( member_b @ SV159 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV83 @ bot_bot_set_b ) ) ) )
| ~ ( ~ ( p @ SV83 @ SV159 )
| ~ ( member_b @ SV159 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV83 @ bot_bot_set_b ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[830]) ).
thf(904,plain,
! [SV159: b,SV83: b] :
( ( ( p @ SV83 @ SV159 )
= ( member_b @ SV159 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV83 @ bot_bot_set_b ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[830]) ).
thf(905,plain,
! [SV9: b > $o] :
( ( ( bot_bot_set_b
= ( collect_b @ SV9 ) )
= $false )
| ( ( ~ ( ( bot_bot_set_b
!= ( collect_b @ SV9 ) )
| ~ ! [SY206: b] :
~ ( SV9 @ SY206 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[831]) ).
thf(906,plain,
! [SV9: b > $o] :
( ( ( ! [SY206: b] :
~ ( SV9 @ SY206 ) )
= $false )
| ( ( ~ ( ( bot_bot_set_b
!= ( collect_b @ SV9 ) )
| ~ ! [SY206: b] :
~ ( SV9 @ SY206 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[831]) ).
thf(907,plain,
! [SV10: b > $o] :
( ( ( ( collect_b @ SV10 )
= bot_bot_set_b )
= $false )
| ( ( ~ ( ( ( collect_b @ SV10 )
!= bot_bot_set_b )
| ~ ! [SY207: b] :
~ ( SV10 @ SY207 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[832]) ).
thf(908,plain,
! [SV10: b > $o] :
( ( ( ! [SY207: b] :
~ ( SV10 @ SY207 ) )
= $false )
| ( ( ~ ( ( ( collect_b @ SV10 )
!= bot_bot_set_b )
| ~ ! [SY207: b] :
~ ( SV10 @ SY207 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[832]) ).
thf(909,plain,
! [SV11: set_b] :
( ( ( ! [SY208: b] :
~ ( member_b @ SY208 @ SV11 ) )
= $false )
| ( ( ~ ( ~ ! [SY208: b] :
~ ( member_b @ SY208 @ SV11 )
| ( SV11 != bot_bot_set_b ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[833]) ).
thf(910,plain,
! [SV11: set_b] :
( ( ( SV11 = bot_bot_set_b )
= $false )
| ( ( ~ ( ~ ! [SY208: b] :
~ ( member_b @ SY208 @ SV11 )
| ( SV11 != bot_bot_set_b ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[833]) ).
thf(911,plain,
! [SV135: set_b,SV86: b,SV14: b] :
( ( ( ~ ( ( member_b @ SV14 @ ( insert_b @ SV86 @ SV135 ) )
| ( SV14 = SV86 )
| ( member_b @ SV14 @ SV135 ) ) )
= $true )
| ( ( ~ ( ~ ( member_b @ SV14 @ ( insert_b @ SV86 @ SV135 ) )
| ~ ( ( SV14 = SV86 )
| ( member_b @ SV14 @ SV135 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[834]) ).
thf(912,plain,
! [SV89: b > $o,SV19: b] :
( ( ( ( member_b @ SV19 @ ( collect_b @ SV89 ) )
| ( SV89 @ SV19 ) )
= $false )
| ( ( ~ ( ~ ( member_b @ SV19 @ ( collect_b @ SV89 ) )
| ~ ( SV89 @ SV19 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[836]) ).
thf(913,plain,
! [SV91: b,SV22: b] :
( ( ( ( member_b @ SV22 @ ( insert_b @ SV91 @ bot_bot_set_b ) )
| ( SV22 = SV91 ) )
= $false )
| ( ( ~ ( ~ ( member_b @ SV22 @ ( insert_b @ SV91 @ bot_bot_set_b ) )
| ( SV22 != SV91 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[838]) ).
thf(914,plain,
! [SV23: b] :
( ( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV23 @ bot_bot_set_b ) )
= bot_bot_set_b )
= $false )
| ( ( ~ ( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV23 @ bot_bot_set_b ) )
!= bot_bot_set_b )
| ~ ~ ( member_b @ SV23 @ ( labele1424214014nt_a_b @ g ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[839]) ).
thf(915,plain,
! [SV23: b] :
( ( ( ~ ( member_b @ SV23 @ ( labele1424214014nt_a_b @ g ) ) )
= $false )
| ( ( ~ ( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV23 @ bot_bot_set_b ) )
!= bot_bot_set_b )
| ~ ~ ( member_b @ SV23 @ ( labele1424214014nt_a_b @ g ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[839]) ).
thf(916,plain,
! [SV92: b] :
( ( ( ( bot_bot_b_o @ SV92 )
| ( member_b @ SV92 @ bot_bot_set_b ) )
= $false )
| ( ( ~ ( ~ ( bot_bot_b_o @ SV92 )
| ~ ( member_b @ SV92 @ bot_bot_set_b ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[840]) ).
thf(917,plain,
! [SV30: set_b] :
( ( ( ord_less_eq_set_b @ SV30 @ bot_bot_set_b )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV30 @ bot_bot_set_b )
| ( SV30 != bot_bot_set_b ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[842]) ).
thf(918,plain,
! [SV30: set_b] :
( ( ( SV30 = bot_bot_set_b )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV30 @ bot_bot_set_b )
| ( SV30 != bot_bot_set_b ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[842]) ).
thf(919,plain,
! [SV31: set_b] :
( ( ( ord_less_eq_set_b @ SV31 @ bot_bot_set_b )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV31 @ bot_bot_set_b )
| ( SV31 != bot_bot_set_b ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[843]) ).
thf(920,plain,
! [SV31: set_b] :
( ( ( SV31 = bot_bot_set_b )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV31 @ bot_bot_set_b )
| ( SV31 != bot_bot_set_b ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[843]) ).
thf(921,plain,
! [SV95: b,SV34: set_b] :
( ( ( ( ord_less_eq_set_b @ SV34 @ ( insert_b @ SV95 @ bot_bot_set_b ) )
| ( SV34 = bot_bot_set_b )
| ( SV34
= ( insert_b @ SV95 @ bot_bot_set_b ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV34 @ ( insert_b @ SV95 @ bot_bot_set_b ) )
| ~ ( ( SV34 = bot_bot_set_b )
| ( SV34
= ( insert_b @ SV95 @ bot_bot_set_b ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[844]) ).
thf(922,plain,
! [SV35: $o] :
( ( ( SV35
| $true )
= $false )
| ( ( ~ ( ~ SV35
| ~ $true ) )
= $true )
| ( ( SV35 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[845]) ).
thf(923,plain,
! [SV35: $o] :
( ( ( ~ ( SV35
| $false ) )
= $true )
| ( ( ~ ( ~ SV35
| ~ $false ) )
= $true )
| ( ( SV35 = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[846]) ).
thf(928,plain,
! [SV36: set_b] :
( ( ( member_b @ ( sK1_SY224 @ SV36 ) @ SV36 )
= $true )
| ( ( SV36 = bot_bot_set_b )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[854]) ).
thf(929,plain,
! [SV38: set_b] :
( ( ( SV38
!= ( insert_b @ ( sK2_SY226 @ SV38 ) @ bot_bot_set_b ) )
= $false )
| ( ( is_singleton_b @ SV38 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[856]) ).
thf(931,plain,
! [SV41: b,SV97: set_b] :
( ( ( ! [SY318: set_b] :
~ ~ ( ( SV97
!= ( insert_b @ SV41 @ SY318 ) )
| ~ ~ ( member_b @ SV41 @ SY318 ) ) )
= $false )
| ( ( member_b @ SV41 @ SV97 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[858]) ).
thf(932,plain,
! [SV139: b,SV98: set_b,SV42: set_b] :
( ( ( ord_less_eq_set_b @ SV42 @ SV98 )
= $false )
| ( ( ord_less_eq_set_b @ ( insert_b @ SV139 @ SV42 ) @ ( insert_b @ SV139 @ SV98 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[859]) ).
thf(933,plain,
! [SV99: b,SV44: b > $o] :
( ( ~ ( SV44 @ SV99 )
| ( ( collect_b
@ ^ [SY320: b] :
~ ( ( SV99 != SY320 )
| ~ ( SV44 @ SY320 ) ) )
= ( insert_b @ SV99 @ bot_bot_set_b ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[861]) ).
thf(934,plain,
! [SV99: b,SV44: b > $o] :
( ( ~ ~ ( SV44 @ SV99 )
| ( ( collect_b
@ ^ [SY321: b] :
~ ( ( SV99 != SY321 )
| ~ ( SV44 @ SY321 ) ) )
= bot_bot_set_b ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[862]) ).
thf(935,plain,
! [SV162: set_b,SV101: set_b] :
( ( ~ ( ( ord_less_eq_set_b @ SV101 @ SV162 )
| ! [SY373: b] :
( ~ ( member_b @ SY373 @ SV101 )
| ( member_b @ SY373 @ SV162 ) ) )
| ~ ( ~ ( ord_less_eq_set_b @ SV101 @ SV162 )
| ~ ! [SY373: b] :
( ~ ( member_b @ SY373 @ SV101 )
| ( member_b @ SY373 @ SV162 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[864]) ).
thf(936,plain,
! [SV162: set_b,SV101: set_b] :
( ( ( ord_less_eq_set_b @ SV101 @ SV162 )
= ( ! [SY373: b] :
( ~ ( member_b @ SY373 @ SV101 )
| ( member_b @ SY373 @ SV162 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[864]) ).
thf(937,plain,
! [SV141: set_b,SV102: set_b,SV47: b] :
( ( ( ~ ( member_b @ SV47 @ SV102 ) )
= $false )
| ( ( ( ord_less_eq_set_b @ SV102 @ ( insert_b @ SV47 @ SV141 ) )
= ( ord_less_eq_set_b @ SV102 @ SV141 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[865]) ).
thf(938,plain,
! [SV142: b,SV103: set_b,SV48: b] :
( ( ( member_b @ SV48 @ SV103 )
= $false )
| ( ( member_b @ SV48 @ ( insert_b @ SV142 @ SV103 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[866]) ).
thf(939,plain,
! [SV49: b,SV104: set_b] :
( ( ( ! [SY326: set_b] :
( ( SV104
!= ( insert_b @ SV49 @ SY326 ) )
| ( member_b @ SV49 @ SY326 ) ) )
= $false )
| ( ( member_b @ SV49 @ SV104 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[867]) ).
thf(940,plain,
! [SV50: set_b] :
( ( ( ~ ! [SY244: b,SY245: b] :
( ~ ( member_b @ SY244 @ SV50 )
| ~ ( member_b @ SY245 @ SV50 )
| ( SY244 = SY245 ) ) )
= $true )
| ( ( is_singleton_b @ SV50 )
= $true )
| ( ( SV50 = bot_bot_set_b )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[868]) ).
thf(941,plain,
! [SV143: b > $o,SV105: b,SV51: b > $o] :
( ( ( SV51 @ SV105 )
= $false )
| ( ( ~ ! [SY364: b] :
( ~ ( SV51 @ SY364 )
| ( SV143 @ SY364 ) )
| ( SV143 @ ( hilbert_Eps_b @ SV51 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[869]) ).
thf(942,plain,
! [SV144: b,SV106: set_b,SV52: set_b] :
( ( ( ord_less_eq_set_b @ SV52 @ SV106 )
= $false )
| ( ( ord_less_eq_set_b @ SV52 @ ( insert_b @ SV144 @ SV106 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[870]) ).
thf(943,plain,
! [SV145: set_b,SV107: set_b,SV53: b] :
( ( ( ~ ( ( ord_less_eq_set_b @ ( insert_b @ SV53 @ SV107 ) @ SV145 )
| ~ ( ~ ( member_b @ SV53 @ SV145 )
| ~ ( ord_less_eq_set_b @ SV107 @ SV145 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ ( insert_b @ SV53 @ SV107 ) @ SV145 )
| ~ ~ ( ~ ( member_b @ SV53 @ SV145 )
| ~ ( ord_less_eq_set_b @ SV107 @ SV145 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[871]) ).
thf(944,plain,
! [SV146: b,SV108: set_b,SV54: b] :
( ( ( ~ ( ( ( insert_b @ SV54 @ SV108 )
= ( insert_b @ SV146 @ bot_bot_set_b ) )
| ~ ( ( SV54 != SV146 )
| ~ ( ord_less_eq_set_b @ SV108 @ ( insert_b @ SV146 @ bot_bot_set_b ) ) ) ) )
= $true )
| ( ( ~ ( ( ( insert_b @ SV54 @ SV108 )
!= ( insert_b @ SV146 @ bot_bot_set_b ) )
| ~ ~ ( ( SV54 != SV146 )
| ~ ( ord_less_eq_set_b @ SV108 @ ( insert_b @ SV146 @ bot_bot_set_b ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[873]) ).
thf(945,plain,
! [SV109: set_b] :
( ( ( ( is_singleton_b @ SV109 )
| ~ ! [SY332: b] :
( SV109
!= ( insert_b @ SY332 @ bot_bot_set_b ) ) )
= $false )
| ( ( ~ ( ~ ( is_singleton_b @ SV109 )
| ~ ~ ! [SY332: b] :
( SV109
!= ( insert_b @ SY332 @ bot_bot_set_b ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[875]) ).
thf(946,plain,
! [SV147: set_b,SV110: set_b,SV56: b] :
( ( ( ~ ( member_b @ SV56 @ SV110 ) )
= $false )
| ( ( ~ ~ ( member_b @ SV56 @ SV147 )
| ( ( ( insert_b @ SV56 @ SV110 )
= ( insert_b @ SV56 @ SV147 ) )
= ( SV110 = SV147 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[876]) ).
thf(947,plain,
! [SV57: set_b,SV111: b] :
( ( ( member_b @ SV111 @ SV57 )
= $false )
| ( ( SV57 = bot_bot_set_b )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[877]) ).
thf(948,plain,
! [SV58: b > $o] :
( ( ( SV58 @ ( hilbert_Eps_b @ SV58 ) )
= $false )
| ( ( ~ ( ~ ( SV58 @ ( hilbert_Eps_b @ SV58 ) )
| ~ ~ ! [SY259: b] :
~ ( SV58 @ SY259 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[878]) ).
thf(950,plain,
! [SV163: b,SV148: b,SV112: b,SV59: b] :
( ( ~ ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
| ~ ( ( SV59 != SV148 )
| ( SV112 != SV163 ) )
| ~ ( ( SV59 != SV163 )
| ( SV112 != SV148 ) ) )
| ~ ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
!= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
| ~ ( ~ ( ( SV59 != SV148 )
| ( SV112 != SV163 ) )
| ~ ( ( SV59 != SV163 )
| ( SV112 != SV148 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[879]) ).
thf(951,plain,
! [SV163: b,SV148: b,SV112: b,SV59: b] :
( ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
= ( ~ ( ( SV59 != SV148 )
| ( SV112 != SV163 ) )
| ~ ( ( SV59 != SV163 )
| ( SV112 != SV148 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[879]) ).
thf(952,plain,
! [SV113: b,SV60: b > $o] :
( ( ( ~ ! [SY336: b] :
( ~ ( SV60 @ SY336 )
| ( SY336 = SV113 ) ) )
= $true )
| ( ( ( hilbert_Eps_b @ SV60 )
= SV113 )
= $true )
| ( ( SV60 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[880]) ).
thf(953,plain,
! [SV149: set_b,SV114: b,SV61: b] :
( ( ( member_b @ SV61 @ ( insert_b @ SV114 @ SV149 ) )
= $false )
| ( ( ~ ( ( SV61 != SV114 ) )
| ( member_b @ SV61 @ SV149 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[881]) ).
thf(954,plain,
! [SV115: b,SV62: b > $o] :
( ( ( ! [SY268: b] :
~ ~ ( ~ ( SV62 @ SY268 )
| ~ ! [SY269: b] :
( ~ ( SV62 @ SY269 )
| ( SY269 = SY268 ) ) ) )
= $true )
| ( ( ~ ( SV62 @ SV115 )
| ( ( hilbert_Eps_b @ SV62 )
= SV115 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[882]) ).
thf(955,plain,
! [SV150: b,SV116: set_Product_prod_b_b,SV63: set_b] :
( ( ( equiv_equiv_b @ SV63 @ SV116 )
= $false )
| ( ( ~ ( member_b @ SV150 @ SV63 )
| ( member_b @ SV150 @ ( image_b_b @ SV116 @ ( insert_b @ SV150 @ bot_bot_set_b ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[883]) ).
thf(956,plain,
! [SV151: set_b,SV117: b,SV64: b] :
( ( ( ~ ( ( ( insert_b @ SV64 @ bot_bot_set_b )
= ( insert_b @ SV117 @ SV151 ) )
| ~ ( ( SV117 != SV64 )
| ~ ( ord_less_eq_set_b @ SV151 @ ( insert_b @ SV64 @ bot_bot_set_b ) ) ) ) )
= $true )
| ( ( ~ ( ( ( insert_b @ SV64 @ bot_bot_set_b )
!= ( insert_b @ SV117 @ SV151 ) )
| ~ ~ ( ( SV117 != SV64 )
| ~ ( ord_less_eq_set_b @ SV151 @ ( insert_b @ SV64 @ bot_bot_set_b ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[884]) ).
thf(957,plain,
! [SV65: set_b] :
( ( ( ~ ! [SY274: b] :
~ ( member_b @ SY274 @ SV65 ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY274: b] :
~ ( member_b @ SY274 @ SV65 )
| ~ ( ( SV65 != bot_bot_set_b ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[886]) ).
thf(958,plain,
! [SV65: set_b] :
( ( ( SV65 != bot_bot_set_b )
= $false )
| ( ( ~ ( ~ ~ ! [SY274: b] :
~ ( member_b @ SY274 @ SV65 )
| ~ ( ( SV65 != bot_bot_set_b ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[886]) ).
thf(959,plain,
! [SV152: b,SV118: set_b,SV66: b] :
( ( ( ~ ~ ( member_b @ SV66 @ SV118 )
| ( SV66 = SV152 ) )
= $false )
| ( ( member_b @ SV66 @ ( insert_b @ SV152 @ SV118 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[887]) ).
thf(960,plain,
! [SV120: b > $o,SV68: b > $o] :
( ( ( ! [SY279: b] :
~ ( SV68 @ SY279 ) )
= $true )
| ( ( ~ ! [SY344: b] :
( ~ ( SV68 @ SY344 )
| ( SV120 @ SY344 ) )
| ( SV120 @ ( hilbert_Eps_b @ SV68 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[889]) ).
thf(961,plain,
! [SV69: set_b,SV121: set_b] :
( ( ( ~ ( member_b @ ( sK3_SY345 @ SV121 @ SV69 ) @ SV69 )
| ( member_b @ ( sK3_SY345 @ SV121 @ SV69 ) @ SV121 ) )
= $false )
| ( ( ord_less_eq_set_b @ SV69 @ SV121 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[890]) ).
thf(962,plain,
! [SV70: set_b] :
( ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SY283: b] : ( member_b @ SY283 @ SV70 ) )
@ SV70 )
= $false )
| ( ( ~ ( ~ ( member_b
@ ( hilbert_Eps_b
@ ^ [SY283: b] : ( member_b @ SY283 @ SV70 ) )
@ SV70 )
| ~ ( ( SV70 != bot_bot_set_b ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[891]) ).
thf(963,plain,
! [SV70: set_b] :
( ( ( SV70 != bot_bot_set_b )
= $false )
| ( ( ~ ( ~ ( member_b
@ ( hilbert_Eps_b
@ ^ [SY283: b] : ( member_b @ SY283 @ SV70 ) )
@ SV70 )
| ~ ( ( SV70 != bot_bot_set_b ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[891]) ).
thf(964,plain,
! [SV164: set_b,SV153: b,SV123: set_b,SV72: b] :
( ( ( ~ ~ ( member_b @ SV72 @ SV123 ) )
= $true )
| ( ( ~ ~ ( member_b @ SV153 @ SV164 )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= ( ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[892]) ).
thf(965,plain,
! [SV124: b,SV73: b > $o] :
( ( ~ ( SV73 @ SV124 )
| ( ( collect_b
@ ^ [SY349: b] :
~ ( ( SY349 != SV124 )
| ~ ( SV73 @ SY349 ) ) )
= ( insert_b @ SV124 @ bot_bot_set_b ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[893]) ).
thf(966,plain,
! [SV124: b,SV73: b > $o] :
( ( ~ ~ ( SV73 @ SV124 )
| ( ( collect_b
@ ^ [SY350: b] :
~ ( ( SY350 != SV124 )
| ~ ( SV73 @ SY350 ) ) )
= bot_bot_set_b ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[894]) ).
thf(967,plain,
! [SV154: b,SV125: b,SV74: b > $o] :
( ( ( ( hilbert_Eps_b @ SV74 )
= SV125 )
= $false )
| ( ( ~ ( SV74 @ SV154 )
| ( SV74 @ SV125 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[895]) ).
thf(968,plain,
! [SV155: b,SV126: set_b,SV75: set_b] :
( ( ( ord_less_eq_set_b @ SV75 @ SV126 )
= $false )
| ( ( ~ ( member_b @ SV155 @ SV75 )
| ( member_b @ SV155 @ SV126 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[896]) ).
thf(969,plain,
! [SV156: b,SV128: set_b,SV77: set_b] :
( ( ( ord_less_eq_set_b @ SV77 @ SV128 )
= $false )
| ( ( ~ ( member_b @ SV156 @ SV77 )
| ( member_b @ SV156 @ SV128 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[898]) ).
thf(970,plain,
! [SV129: b > $o,SV78: b > $o] :
( ( ( ( SV78 @ ( sK4_SY354 @ SV129 @ SV78 ) )
= ( SV129 @ ( sK4_SY354 @ SV129 @ SV78 ) ) )
= $false )
| ( ( ( hilbert_Eps_b @ SV78 )
= ( hilbert_Eps_b @ SV129 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[899]) ).
thf(971,plain,
! [SV157: b > $o,SV130: b > $o,SV79: set_b] :
( ( ( ~ ! [SY356: b] :
~ ~ ( ~ ( member_b @ SY356 @ SV79 )
| ~ ( SV130 @ SY356 ) ) )
= $false )
| ( ( ~ ! [SY369: b] :
( ~ ~ ( ~ ( member_b @ SY369 @ SV79 )
| ~ ( SV130 @ SY369 ) )
| ( SV157 @ SY369 ) )
| ( SV157
@ ( hilbert_Eps_b
@ ^ [SY358: b] :
~ ( ~ ( member_b @ SY358 @ SV79 )
| ~ ( SV130 @ SY358 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[900]) ).
thf(972,plain,
! [SV165: set_b,SV132: set_b] :
( ( ~ ( ( ord_less_eq_set_b @ SV132 @ SV165 )
| ! [SY375: b] :
( ~ ( member_b @ SY375 @ SV132 )
| ( member_b @ SY375 @ SV165 ) ) )
| ~ ( ~ ( ord_less_eq_set_b @ SV132 @ SV165 )
| ~ ! [SY375: b] :
( ~ ( member_b @ SY375 @ SV132 )
| ( member_b @ SY375 @ SV165 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[902]) ).
thf(973,plain,
! [SV165: set_b,SV132: set_b] :
( ( ( ord_less_eq_set_b @ SV132 @ SV165 )
= ( ! [SY375: b] :
( ~ ( member_b @ SY375 @ SV132 )
| ( member_b @ SY375 @ SV165 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[902]) ).
thf(974,plain,
! [SV159: b,SV83: b] :
( ( ( ~ ( ( p @ SV83 @ SV159 )
| ( member_b @ SV159 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV83 @ bot_bot_set_b ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( p @ SV83 @ SV159 )
| ~ ( member_b @ SV159 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV83 @ bot_bot_set_b ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[903]) ).
thf(975,plain,
! [SV9: b > $o] :
( ( ( ( bot_bot_set_b
!= ( collect_b @ SV9 ) )
| ~ ! [SY206: b] :
~ ( SV9 @ SY206 ) )
= $false )
| ( ( bot_bot_set_b
= ( collect_b @ SV9 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[905]) ).
thf(976,plain,
! [SV9: b > $o] :
( ( ( ~ ( SV9 @ ( sK5_SY206 @ SV9 ) ) )
= $false )
| ( ( ~ ( ( bot_bot_set_b
!= ( collect_b @ SV9 ) )
| ~ ! [SY206: b] :
~ ( SV9 @ SY206 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[906]) ).
thf(977,plain,
! [SV10: b > $o] :
( ( ( ( ( collect_b @ SV10 )
!= bot_bot_set_b )
| ~ ! [SY207: b] :
~ ( SV10 @ SY207 ) )
= $false )
| ( ( ( collect_b @ SV10 )
= bot_bot_set_b )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[907]) ).
thf(978,plain,
! [SV10: b > $o] :
( ( ( ~ ( SV10 @ ( sK6_SY207 @ SV10 ) ) )
= $false )
| ( ( ~ ( ( ( collect_b @ SV10 )
!= bot_bot_set_b )
| ~ ! [SY207: b] :
~ ( SV10 @ SY207 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[908]) ).
thf(979,plain,
! [SV11: set_b] :
( ( ( ~ ( member_b @ ( sK7_SY208 @ SV11 ) @ SV11 ) )
= $false )
| ( ( ~ ( ~ ! [SY208: b] :
~ ( member_b @ SY208 @ SV11 )
| ( SV11 != bot_bot_set_b ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[909]) ).
thf(980,plain,
! [SV11: set_b] :
( ( ( ~ ! [SY208: b] :
~ ( member_b @ SY208 @ SV11 )
| ( SV11 != bot_bot_set_b ) )
= $false )
| ( ( SV11 = bot_bot_set_b )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[910]) ).
thf(981,plain,
! [SV135: set_b,SV86: b,SV14: b] :
( ( ( ( member_b @ SV14 @ ( insert_b @ SV86 @ SV135 ) )
| ( SV14 = SV86 )
| ( member_b @ SV14 @ SV135 ) )
= $false )
| ( ( ~ ( ~ ( member_b @ SV14 @ ( insert_b @ SV86 @ SV135 ) )
| ~ ( ( SV14 = SV86 )
| ( member_b @ SV14 @ SV135 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[911]) ).
thf(982,plain,
! [SV89: b > $o,SV19: b] :
( ( ( member_b @ SV19 @ ( collect_b @ SV89 ) )
= $false )
| ( ( ~ ( ~ ( member_b @ SV19 @ ( collect_b @ SV89 ) )
| ~ ( SV89 @ SV19 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[912]) ).
thf(983,plain,
! [SV19: b,SV89: b > $o] :
( ( ( SV89 @ SV19 )
= $false )
| ( ( ~ ( ~ ( member_b @ SV19 @ ( collect_b @ SV89 ) )
| ~ ( SV89 @ SV19 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[912]) ).
thf(984,plain,
! [SV91: b,SV22: b] :
( ( ( member_b @ SV22 @ ( insert_b @ SV91 @ bot_bot_set_b ) )
= $false )
| ( ( ~ ( ~ ( member_b @ SV22 @ ( insert_b @ SV91 @ bot_bot_set_b ) )
| ( SV22 != SV91 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[913]) ).
thf(985,plain,
! [SV91: b,SV22: b] :
( ( ( SV22 = SV91 )
= $false )
| ( ( ~ ( ~ ( member_b @ SV22 @ ( insert_b @ SV91 @ bot_bot_set_b ) )
| ( SV22 != SV91 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[913]) ).
thf(986,plain,
! [SV23: b] :
( ( ( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV23 @ bot_bot_set_b ) )
!= bot_bot_set_b )
| ~ ~ ( member_b @ SV23 @ ( labele1424214014nt_a_b @ g ) ) )
= $false )
| ( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV23 @ bot_bot_set_b ) )
= bot_bot_set_b )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[914]) ).
thf(987,plain,
! [SV23: b] :
( ( ( member_b @ SV23 @ ( labele1424214014nt_a_b @ g ) )
= $true )
| ( ( ~ ( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV23 @ bot_bot_set_b ) )
!= bot_bot_set_b )
| ~ ~ ( member_b @ SV23 @ ( labele1424214014nt_a_b @ g ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[915]) ).
thf(988,plain,
! [SV92: b] :
( ( ( bot_bot_b_o @ SV92 )
= $false )
| ( ( ~ ( ~ ( bot_bot_b_o @ SV92 )
| ~ ( member_b @ SV92 @ bot_bot_set_b ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[916]) ).
thf(989,plain,
! [SV92: b] :
( ( ( member_b @ SV92 @ bot_bot_set_b )
= $false )
| ( ( ~ ( ~ ( bot_bot_b_o @ SV92 )
| ~ ( member_b @ SV92 @ bot_bot_set_b ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[916]) ).
thf(990,plain,
! [SV30: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV30 @ bot_bot_set_b )
| ( SV30 != bot_bot_set_b ) )
= $false )
| ( ( ord_less_eq_set_b @ SV30 @ bot_bot_set_b )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[917]) ).
thf(991,plain,
! [SV30: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV30 @ bot_bot_set_b )
| ( SV30 != bot_bot_set_b ) )
= $false )
| ( ( SV30 = bot_bot_set_b )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[918]) ).
thf(992,plain,
! [SV31: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV31 @ bot_bot_set_b )
| ( SV31 != bot_bot_set_b ) )
= $false )
| ( ( ord_less_eq_set_b @ SV31 @ bot_bot_set_b )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[919]) ).
thf(993,plain,
! [SV31: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV31 @ bot_bot_set_b )
| ( SV31 != bot_bot_set_b ) )
= $false )
| ( ( SV31 = bot_bot_set_b )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[920]) ).
thf(994,plain,
! [SV95: b,SV34: set_b] :
( ( ( ord_less_eq_set_b @ SV34 @ ( insert_b @ SV95 @ bot_bot_set_b ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV34 @ ( insert_b @ SV95 @ bot_bot_set_b ) )
| ~ ( ( SV34 = bot_bot_set_b )
| ( SV34
= ( insert_b @ SV95 @ bot_bot_set_b ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[921]) ).
thf(995,plain,
! [SV95: b,SV34: set_b] :
( ( ( ( SV34 = bot_bot_set_b )
| ( SV34
= ( insert_b @ SV95 @ bot_bot_set_b ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV34 @ ( insert_b @ SV95 @ bot_bot_set_b ) )
| ~ ( ( SV34 = bot_bot_set_b )
| ( SV34
= ( insert_b @ SV95 @ bot_bot_set_b ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[921]) ).
thf(997,plain,
! [SV35: $o] :
( ( $true = $false )
| ( ( ~ ( ~ SV35
| ~ $true ) )
= $true )
| ( ( SV35 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[922]) ).
thf(998,plain,
! [SV35: $o] :
( ( ( SV35
| $false )
= $false )
| ( ( ~ ( ~ SV35
| ~ $false ) )
= $true )
| ( ( SV35 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[923]) ).
thf(1005,plain,
! [SV38: set_b] :
( ( ( SV38
= ( insert_b @ ( sK2_SY226 @ SV38 ) @ bot_bot_set_b ) )
= $true )
| ( ( is_singleton_b @ SV38 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[929]) ).
thf(1007,plain,
! [SV41: b,SV97: set_b] :
( ( ( ~ ~ ( ( SV97
!= ( insert_b @ SV41 @ ( sK8_SY318 @ SV41 @ SV97 ) ) )
| ~ ~ ( member_b @ SV41 @ ( sK8_SY318 @ SV41 @ SV97 ) ) ) )
= $false )
| ( ( member_b @ SV41 @ SV97 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[931]) ).
thf(1008,plain,
! [SV99: b,SV44: b > $o] :
( ( ( ~ ( SV44 @ SV99 ) )
= $true )
| ( ( ( collect_b
@ ^ [SY320: b] :
~ ( ( SV99 != SY320 )
| ~ ( SV44 @ SY320 ) ) )
= ( insert_b @ SV99 @ bot_bot_set_b ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[933]) ).
thf(1009,plain,
! [SV99: b,SV44: b > $o] :
( ( ( ~ ~ ( SV44 @ SV99 ) )
= $true )
| ( ( ( collect_b
@ ^ [SY321: b] :
~ ( ( SV99 != SY321 )
| ~ ( SV44 @ SY321 ) ) )
= bot_bot_set_b )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[934]) ).
thf(1010,plain,
! [SV162: set_b,SV101: set_b] :
( ( ( ~ ( ( ord_less_eq_set_b @ SV101 @ SV162 )
| ! [SY373: b] :
( ~ ( member_b @ SY373 @ SV101 )
| ( member_b @ SY373 @ SV162 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV101 @ SV162 )
| ~ ! [SY373: b] :
( ~ ( member_b @ SY373 @ SV101 )
| ( member_b @ SY373 @ SV162 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[935]) ).
thf(1011,plain,
! [SV141: set_b,SV102: set_b,SV47: b] :
( ( ( member_b @ SV47 @ SV102 )
= $true )
| ( ( ( ord_less_eq_set_b @ SV102 @ ( insert_b @ SV47 @ SV141 ) )
= ( ord_less_eq_set_b @ SV102 @ SV141 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[937]) ).
thf(1012,plain,
! [SV49: b,SV104: set_b] :
( ( ( ( SV104
!= ( insert_b @ SV49 @ ( sK9_SY326 @ SV49 @ SV104 ) ) )
| ( member_b @ SV49 @ ( sK9_SY326 @ SV49 @ SV104 ) ) )
= $false )
| ( ( member_b @ SV49 @ SV104 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[939]) ).
thf(1013,plain,
! [SV50: set_b] :
( ( ( ! [SY244: b,SY245: b] :
( ~ ( member_b @ SY244 @ SV50 )
| ~ ( member_b @ SY245 @ SV50 )
| ( SY244 = SY245 ) ) )
= $false )
| ( ( is_singleton_b @ SV50 )
= $true )
| ( ( SV50 = bot_bot_set_b )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[940]) ).
thf(1014,plain,
! [SV105: b,SV143: b > $o,SV51: b > $o] :
( ( ( ~ ! [SY364: b] :
( ~ ( SV51 @ SY364 )
| ( SV143 @ SY364 ) ) )
= $true )
| ( ( SV143 @ ( hilbert_Eps_b @ SV51 ) )
= $true )
| ( ( SV51 @ SV105 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[941]) ).
thf(1015,plain,
! [SV145: set_b,SV107: set_b,SV53: b] :
( ( ( ( ord_less_eq_set_b @ ( insert_b @ SV53 @ SV107 ) @ SV145 )
| ~ ( ~ ( member_b @ SV53 @ SV145 )
| ~ ( ord_less_eq_set_b @ SV107 @ SV145 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ ( insert_b @ SV53 @ SV107 ) @ SV145 )
| ~ ~ ( ~ ( member_b @ SV53 @ SV145 )
| ~ ( ord_less_eq_set_b @ SV107 @ SV145 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[943]) ).
thf(1016,plain,
! [SV146: b,SV108: set_b,SV54: b] :
( ( ( ( ( insert_b @ SV54 @ SV108 )
= ( insert_b @ SV146 @ bot_bot_set_b ) )
| ~ ( ( SV54 != SV146 )
| ~ ( ord_less_eq_set_b @ SV108 @ ( insert_b @ SV146 @ bot_bot_set_b ) ) ) )
= $false )
| ( ( ~ ( ( ( insert_b @ SV54 @ SV108 )
!= ( insert_b @ SV146 @ bot_bot_set_b ) )
| ~ ~ ( ( SV54 != SV146 )
| ~ ( ord_less_eq_set_b @ SV108 @ ( insert_b @ SV146 @ bot_bot_set_b ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[944]) ).
thf(1017,plain,
! [SV109: set_b] :
( ( ( is_singleton_b @ SV109 )
= $false )
| ( ( ~ ( ~ ( is_singleton_b @ SV109 )
| ~ ~ ! [SY332: b] :
( SV109
!= ( insert_b @ SY332 @ bot_bot_set_b ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[945]) ).
thf(1018,plain,
! [SV109: set_b] :
( ( ( ~ ! [SY332: b] :
( SV109
!= ( insert_b @ SY332 @ bot_bot_set_b ) ) )
= $false )
| ( ( ~ ( ~ ( is_singleton_b @ SV109 )
| ~ ~ ! [SY332: b] :
( SV109
!= ( insert_b @ SY332 @ bot_bot_set_b ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[945]) ).
thf(1019,plain,
! [SV147: set_b,SV110: set_b,SV56: b] :
( ( ( member_b @ SV56 @ SV110 )
= $true )
| ( ( ~ ~ ( member_b @ SV56 @ SV147 )
| ( ( ( insert_b @ SV56 @ SV110 )
= ( insert_b @ SV56 @ SV147 ) )
= ( SV110 = SV147 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[946]) ).
thf(1020,plain,
! [SV58: b > $o] :
( ( ( ~ ( SV58 @ ( hilbert_Eps_b @ SV58 ) )
| ~ ~ ! [SY259: b] :
~ ( SV58 @ SY259 ) )
= $false )
| ( ( SV58 @ ( hilbert_Eps_b @ SV58 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[948]) ).
thf(1022,plain,
! [SV163: b,SV148: b,SV112: b,SV59: b] :
( ( ( ~ ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
| ~ ( ( SV59 != SV148 )
| ( SV112 != SV163 ) )
| ~ ( ( SV59 != SV163 )
| ( SV112 != SV148 ) ) ) )
= $true )
| ( ( ~ ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
!= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
| ~ ( ~ ( ( SV59 != SV148 )
| ( SV112 != SV163 ) )
| ~ ( ( SV59 != SV163 )
| ( SV112 != SV148 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[950]) ).
thf(1023,plain,
! [SV113: b,SV60: b > $o] :
( ( ( ! [SY336: b] :
( ~ ( SV60 @ SY336 )
| ( SY336 = SV113 ) ) )
= $false )
| ( ( ( hilbert_Eps_b @ SV60 )
= SV113 )
= $true )
| ( ( SV60 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[952]) ).
thf(1024,plain,
! [SV149: set_b,SV114: b,SV61: b] :
( ( ( ~ ( ( SV61 != SV114 ) ) )
= $true )
| ( ( member_b @ SV61 @ SV149 )
= $true )
| ( ( member_b @ SV61 @ ( insert_b @ SV114 @ SV149 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[953]) ).
thf(1025,plain,
! [SV115: b,SV167: b,SV62: b > $o] :
( ( ( ~ ~ ( ~ ( SV62 @ SV167 )
| ~ ! [SY376: b] :
( ~ ( SV62 @ SY376 )
| ( SY376 = SV167 ) ) ) )
= $true )
| ( ( ~ ( SV62 @ SV115 )
| ( ( hilbert_Eps_b @ SV62 )
= SV115 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[954]) ).
thf(1026,plain,
! [SV116: set_Product_prod_b_b,SV63: set_b,SV150: b] :
( ( ( ~ ( member_b @ SV150 @ SV63 ) )
= $true )
| ( ( member_b @ SV150 @ ( image_b_b @ SV116 @ ( insert_b @ SV150 @ bot_bot_set_b ) ) )
= $true )
| ( ( equiv_equiv_b @ SV63 @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[955]) ).
thf(1027,plain,
! [SV151: set_b,SV117: b,SV64: b] :
( ( ( ( ( insert_b @ SV64 @ bot_bot_set_b )
= ( insert_b @ SV117 @ SV151 ) )
| ~ ( ( SV117 != SV64 )
| ~ ( ord_less_eq_set_b @ SV151 @ ( insert_b @ SV64 @ bot_bot_set_b ) ) ) )
= $false )
| ( ( ~ ( ( ( insert_b @ SV64 @ bot_bot_set_b )
!= ( insert_b @ SV117 @ SV151 ) )
| ~ ~ ( ( SV117 != SV64 )
| ~ ( ord_less_eq_set_b @ SV151 @ ( insert_b @ SV64 @ bot_bot_set_b ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[956]) ).
thf(1028,plain,
! [SV65: set_b] :
( ( ( ! [SY274: b] :
~ ( member_b @ SY274 @ SV65 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY274: b] :
~ ( member_b @ SY274 @ SV65 )
| ~ ( ( SV65 != bot_bot_set_b ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[957]) ).
thf(1029,plain,
! [SV65: set_b] :
( ( ( SV65 = bot_bot_set_b )
= $true )
| ( ( ~ ( ~ ~ ! [SY274: b] :
~ ( member_b @ SY274 @ SV65 )
| ~ ( ( SV65 != bot_bot_set_b ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[958]) ).
thf(1030,plain,
! [SV152: b,SV118: set_b,SV66: b] :
( ( ( ~ ~ ( member_b @ SV66 @ SV118 ) )
= $false )
| ( ( member_b @ SV66 @ ( insert_b @ SV152 @ SV118 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[959]) ).
thf(1031,plain,
! [SV118: set_b,SV152: b,SV66: b] :
( ( ( SV66 = SV152 )
= $false )
| ( ( member_b @ SV66 @ ( insert_b @ SV152 @ SV118 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[959]) ).
thf(1032,plain,
! [SV120: b > $o,SV168: b,SV68: b > $o] :
( ( ( ~ ( SV68 @ SV168 ) )
= $true )
| ( ( ~ ! [SY344: b] :
( ~ ( SV68 @ SY344 )
| ( SV120 @ SY344 ) )
| ( SV120 @ ( hilbert_Eps_b @ SV68 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[960]) ).
thf(1033,plain,
! [SV69: set_b,SV121: set_b] :
( ( ( ~ ( member_b @ ( sK3_SY345 @ SV121 @ SV69 ) @ SV69 ) )
= $false )
| ( ( ord_less_eq_set_b @ SV69 @ SV121 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[961]) ).
thf(1034,plain,
! [SV69: set_b,SV121: set_b] :
( ( ( member_b @ ( sK3_SY345 @ SV121 @ SV69 ) @ SV121 )
= $false )
| ( ( ord_less_eq_set_b @ SV69 @ SV121 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[961]) ).
thf(1035,plain,
! [SV70: set_b] :
( ( ( ~ ( member_b
@ ( hilbert_Eps_b
@ ^ [SY283: b] : ( member_b @ SY283 @ SV70 ) )
@ SV70 )
| ~ ( ( SV70 != bot_bot_set_b ) ) )
= $false )
| ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SY283: b] : ( member_b @ SY283 @ SV70 ) )
@ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[962]) ).
thf(1036,plain,
! [SV70: set_b] :
( ( ( SV70 = bot_bot_set_b )
= $true )
| ( ( ~ ( ~ ( member_b
@ ( hilbert_Eps_b
@ ^ [SY283: b] : ( member_b @ SY283 @ SV70 ) )
@ SV70 )
| ~ ( ( SV70 != bot_bot_set_b ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[963]) ).
thf(1037,plain,
! [SV164: set_b,SV153: b,SV123: set_b,SV72: b] :
( ( ( ~ ( member_b @ SV72 @ SV123 ) )
= $false )
| ( ( ~ ~ ( member_b @ SV153 @ SV164 )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= ( ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[964]) ).
thf(1038,plain,
! [SV124: b,SV73: b > $o] :
( ( ( ~ ( SV73 @ SV124 ) )
= $true )
| ( ( ( collect_b
@ ^ [SY349: b] :
~ ( ( SY349 != SV124 )
| ~ ( SV73 @ SY349 ) ) )
= ( insert_b @ SV124 @ bot_bot_set_b ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[965]) ).
thf(1039,plain,
! [SV124: b,SV73: b > $o] :
( ( ( ~ ~ ( SV73 @ SV124 ) )
= $true )
| ( ( ( collect_b
@ ^ [SY350: b] :
~ ( ( SY350 != SV124 )
| ~ ( SV73 @ SY350 ) ) )
= bot_bot_set_b )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[966]) ).
thf(1040,plain,
! [SV125: b,SV154: b,SV74: b > $o] :
( ( ( ~ ( SV74 @ SV154 ) )
= $true )
| ( ( SV74 @ SV125 )
= $true )
| ( ( ( hilbert_Eps_b @ SV74 )
= SV125 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[967]) ).
thf(1041,plain,
! [SV126: set_b,SV75: set_b,SV155: b] :
( ( ( ~ ( member_b @ SV155 @ SV75 ) )
= $true )
| ( ( member_b @ SV155 @ SV126 )
= $true )
| ( ( ord_less_eq_set_b @ SV75 @ SV126 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[968]) ).
thf(1042,plain,
! [SV128: set_b,SV77: set_b,SV156: b] :
( ( ( ~ ( member_b @ SV156 @ SV77 ) )
= $true )
| ( ( member_b @ SV156 @ SV128 )
= $true )
| ( ( ord_less_eq_set_b @ SV77 @ SV128 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[969]) ).
thf(1043,plain,
! [SV129: b > $o,SV78: b > $o] :
( ( ( ~ ( ( SV78 @ ( sK4_SY354 @ SV129 @ SV78 ) )
| ( SV129 @ ( sK4_SY354 @ SV129 @ SV78 ) ) )
| ~ ( ~ ( SV78 @ ( sK4_SY354 @ SV129 @ SV78 ) )
| ~ ( SV129 @ ( sK4_SY354 @ SV129 @ SV78 ) ) ) )
= $false )
| ( ( ( hilbert_Eps_b @ SV78 )
= ( hilbert_Eps_b @ SV129 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[970]) ).
thf(1044,plain,
! [SV129: b > $o,SV78: b > $o] :
( ( ( ( SV78 @ ( sK4_SY354 @ SV129 @ SV78 ) )
= ( SV129 @ ( sK4_SY354 @ SV129 @ SV78 ) ) )
= $false )
| ( ( ( hilbert_Eps_b @ SV78 )
= ( hilbert_Eps_b @ SV129 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[970]) ).
thf(1045,plain,
! [SV157: b > $o,SV130: b > $o,SV79: set_b] :
( ( ( ! [SY356: b] :
~ ~ ( ~ ( member_b @ SY356 @ SV79 )
| ~ ( SV130 @ SY356 ) ) )
= $true )
| ( ( ~ ! [SY369: b] :
( ~ ~ ( ~ ( member_b @ SY369 @ SV79 )
| ~ ( SV130 @ SY369 ) )
| ( SV157 @ SY369 ) )
| ( SV157
@ ( hilbert_Eps_b
@ ^ [SY358: b] :
~ ( ~ ( member_b @ SY358 @ SV79 )
| ~ ( SV130 @ SY358 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[971]) ).
thf(1046,plain,
! [SV165: set_b,SV132: set_b] :
( ( ( ~ ( ( ord_less_eq_set_b @ SV132 @ SV165 )
| ! [SY375: b] :
( ~ ( member_b @ SY375 @ SV132 )
| ( member_b @ SY375 @ SV165 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV132 @ SV165 )
| ~ ! [SY375: b] :
( ~ ( member_b @ SY375 @ SV132 )
| ( member_b @ SY375 @ SV165 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[972]) ).
thf(1047,plain,
! [SV159: b,SV83: b] :
( ( ( ( p @ SV83 @ SV159 )
| ( member_b @ SV159 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV83 @ bot_bot_set_b ) ) ) )
= $false )
| ( ( ~ ( ~ ( p @ SV83 @ SV159 )
| ~ ( member_b @ SV159 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV83 @ bot_bot_set_b ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[974]) ).
thf(1049,plain,
! [SV9: b > $o] :
( ( ( ~ ! [SY206: b] :
~ ( SV9 @ SY206 ) )
= $false )
| ( ( bot_bot_set_b
= ( collect_b @ SV9 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[975]) ).
thf(1050,plain,
! [SV9: b > $o] :
( ( ( SV9 @ ( sK5_SY206 @ SV9 ) )
= $true )
| ( ( ~ ( ( bot_bot_set_b
!= ( collect_b @ SV9 ) )
| ~ ! [SY206: b] :
~ ( SV9 @ SY206 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[976]) ).
thf(1052,plain,
! [SV10: b > $o] :
( ( ( ~ ! [SY207: b] :
~ ( SV10 @ SY207 ) )
= $false )
| ( ( ( collect_b @ SV10 )
= bot_bot_set_b )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[977]) ).
thf(1053,plain,
! [SV10: b > $o] :
( ( ( SV10 @ ( sK6_SY207 @ SV10 ) )
= $true )
| ( ( ~ ( ( ( collect_b @ SV10 )
!= bot_bot_set_b )
| ~ ! [SY207: b] :
~ ( SV10 @ SY207 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[978]) ).
thf(1054,plain,
! [SV11: set_b] :
( ( ( member_b @ ( sK7_SY208 @ SV11 ) @ SV11 )
= $true )
| ( ( ~ ( ~ ! [SY208: b] :
~ ( member_b @ SY208 @ SV11 )
| ( SV11 != bot_bot_set_b ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[979]) ).
thf(1055,plain,
! [SV11: set_b] :
( ( ( ~ ! [SY208: b] :
~ ( member_b @ SY208 @ SV11 ) )
= $false )
| ( ( SV11 = bot_bot_set_b )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[980]) ).
thf(1057,plain,
! [SV135: set_b,SV86: b,SV14: b] :
( ( ( member_b @ SV14 @ ( insert_b @ SV86 @ SV135 ) )
= $false )
| ( ( ~ ( ~ ( member_b @ SV14 @ ( insert_b @ SV86 @ SV135 ) )
| ~ ( ( SV14 = SV86 )
| ( member_b @ SV14 @ SV135 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[981]) ).
thf(1058,plain,
! [SV135: set_b,SV86: b,SV14: b] :
( ( ( ( SV14 = SV86 )
| ( member_b @ SV14 @ SV135 ) )
= $false )
| ( ( ~ ( ~ ( member_b @ SV14 @ ( insert_b @ SV86 @ SV135 ) )
| ~ ( ( SV14 = SV86 )
| ( member_b @ SV14 @ SV135 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[981]) ).
thf(1059,plain,
! [SV89: b > $o,SV19: b] :
( ( ( ~ ( member_b @ SV19 @ ( collect_b @ SV89 ) )
| ~ ( SV89 @ SV19 ) )
= $false )
| ( ( member_b @ SV19 @ ( collect_b @ SV89 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[982]) ).
thf(1060,plain,
! [SV89: b > $o,SV19: b] :
( ( ( ~ ( member_b @ SV19 @ ( collect_b @ SV89 ) )
| ~ ( SV89 @ SV19 ) )
= $false )
| ( ( SV89 @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[983]) ).
thf(1061,plain,
! [SV91: b,SV22: b] :
( ( ( ~ ( member_b @ SV22 @ ( insert_b @ SV91 @ bot_bot_set_b ) )
| ( SV22 != SV91 ) )
= $false )
| ( ( member_b @ SV22 @ ( insert_b @ SV91 @ bot_bot_set_b ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[984]) ).
thf(1062,plain,
! [SV91: b,SV22: b] :
( ( ( ~ ( member_b @ SV22 @ ( insert_b @ SV91 @ bot_bot_set_b ) )
| ( SV22 != SV91 ) )
= $false )
| ( ( SV22 = SV91 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[985]) ).
thf(1064,plain,
! [SV23: b] :
( ( ( ~ ~ ( member_b @ SV23 @ ( labele1424214014nt_a_b @ g ) ) )
= $false )
| ( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV23 @ bot_bot_set_b ) )
= bot_bot_set_b )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[986]) ).
thf(1065,plain,
! [SV23: b] :
( ( ( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV23 @ bot_bot_set_b ) )
!= bot_bot_set_b )
| ~ ~ ( member_b @ SV23 @ ( labele1424214014nt_a_b @ g ) ) )
= $false )
| ( ( member_b @ SV23 @ ( labele1424214014nt_a_b @ g ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[987]) ).
thf(1066,plain,
! [SV92: b] :
( ( ( ~ ( bot_bot_b_o @ SV92 )
| ~ ( member_b @ SV92 @ bot_bot_set_b ) )
= $false )
| ( ( bot_bot_b_o @ SV92 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[988]) ).
thf(1067,plain,
! [SV92: b] :
( ( ( ~ ( bot_bot_b_o @ SV92 )
| ~ ( member_b @ SV92 @ bot_bot_set_b ) )
= $false )
| ( ( member_b @ SV92 @ bot_bot_set_b )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[989]) ).
thf(1069,plain,
! [SV30: set_b] :
( ( ( SV30 != bot_bot_set_b )
= $false )
| ( ( ord_less_eq_set_b @ SV30 @ bot_bot_set_b )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[990]) ).
thf(1070,plain,
! [SV30: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV30 @ bot_bot_set_b ) )
= $false )
| ( ( SV30 = bot_bot_set_b )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[991]) ).
thf(1073,plain,
! [SV31: set_b] :
( ( ( SV31 != bot_bot_set_b )
= $false )
| ( ( ord_less_eq_set_b @ SV31 @ bot_bot_set_b )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[992]) ).
thf(1074,plain,
! [SV31: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV31 @ bot_bot_set_b ) )
= $false )
| ( ( SV31 = bot_bot_set_b )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[993]) ).
thf(1076,plain,
! [SV95: b,SV34: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV34 @ ( insert_b @ SV95 @ bot_bot_set_b ) )
| ~ ( ( SV34 = bot_bot_set_b )
| ( SV34
= ( insert_b @ SV95 @ bot_bot_set_b ) ) ) )
= $false )
| ( ( ord_less_eq_set_b @ SV34 @ ( insert_b @ SV95 @ bot_bot_set_b ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[994]) ).
thf(1077,plain,
! [SV95: b,SV34: set_b] :
( ( ( SV34 = bot_bot_set_b )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV34 @ ( insert_b @ SV95 @ bot_bot_set_b ) )
| ~ ( ( SV34 = bot_bot_set_b )
| ( SV34
= ( insert_b @ SV95 @ bot_bot_set_b ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[995]) ).
thf(1078,plain,
! [SV95: b,SV34: set_b] :
( ( ( SV34
= ( insert_b @ SV95 @ bot_bot_set_b ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV34 @ ( insert_b @ SV95 @ bot_bot_set_b ) )
| ~ ( ( SV34 = bot_bot_set_b )
| ( SV34
= ( insert_b @ SV95 @ bot_bot_set_b ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[995]) ).
thf(1080,plain,
! [SV35: $o] :
( ( ( ~ SV35
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV35 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[997]) ).
thf(1081,plain,
! [SV35: $o] :
( ( SV35 = $false )
| ( ( ~ ( ~ SV35
| ~ $false ) )
= $true )
| ( ( SV35 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[998]) ).
thf(1091,plain,
! [SV41: b,SV97: set_b] :
( ( ( ~ ( ( SV97
!= ( insert_b @ SV41 @ ( sK8_SY318 @ SV41 @ SV97 ) ) )
| ~ ~ ( member_b @ SV41 @ ( sK8_SY318 @ SV41 @ SV97 ) ) ) )
= $true )
| ( ( member_b @ SV41 @ SV97 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1007]) ).
thf(1092,plain,
! [SV99: b,SV44: b > $o] :
( ( ( SV44 @ SV99 )
= $false )
| ( ( ( collect_b
@ ^ [SY320: b] :
~ ( ( SV99 != SY320 )
| ~ ( SV44 @ SY320 ) ) )
= ( insert_b @ SV99 @ bot_bot_set_b ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1008]) ).
thf(1093,plain,
! [SV99: b,SV44: b > $o] :
( ( ( ~ ( SV44 @ SV99 ) )
= $false )
| ( ( ( collect_b
@ ^ [SY321: b] :
~ ( ( SV99 != SY321 )
| ~ ( SV44 @ SY321 ) ) )
= bot_bot_set_b )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1009]) ).
thf(1094,plain,
! [SV162: set_b,SV101: set_b] :
( ( ( ( ord_less_eq_set_b @ SV101 @ SV162 )
| ! [SY373: b] :
( ~ ( member_b @ SY373 @ SV101 )
| ( member_b @ SY373 @ SV162 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV101 @ SV162 )
| ~ ! [SY373: b] :
( ~ ( member_b @ SY373 @ SV101 )
| ( member_b @ SY373 @ SV162 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1010]) ).
thf(1095,plain,
! [SV141: set_b,SV47: b,SV102: set_b] :
( ( ( ~ ( ( ord_less_eq_set_b @ SV102 @ ( insert_b @ SV47 @ SV141 ) )
| ( ord_less_eq_set_b @ SV102 @ SV141 ) )
| ~ ( ~ ( ord_less_eq_set_b @ SV102 @ ( insert_b @ SV47 @ SV141 ) )
| ~ ( ord_less_eq_set_b @ SV102 @ SV141 ) ) )
= $true )
| ( ( member_b @ SV47 @ SV102 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1011]) ).
thf(1096,plain,
! [SV141: set_b,SV47: b,SV102: set_b] :
( ( ( ( ord_less_eq_set_b @ SV102 @ ( insert_b @ SV47 @ SV141 ) )
= ( ord_less_eq_set_b @ SV102 @ SV141 ) )
= $true )
| ( ( member_b @ SV47 @ SV102 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1011]) ).
thf(1097,plain,
! [SV49: b,SV104: set_b] :
( ( ( SV104
!= ( insert_b @ SV49 @ ( sK9_SY326 @ SV49 @ SV104 ) ) )
= $false )
| ( ( member_b @ SV49 @ SV104 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1012]) ).
thf(1098,plain,
! [SV104: set_b,SV49: b] :
( ( ( member_b @ SV49 @ ( sK9_SY326 @ SV49 @ SV104 ) )
= $false )
| ( ( member_b @ SV49 @ SV104 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1012]) ).
thf(1099,plain,
! [SV50: set_b] :
( ( ( ! [SY377: b] :
( ~ ( member_b @ ( sK10_SY244 @ SV50 ) @ SV50 )
| ~ ( member_b @ SY377 @ SV50 )
| ( ( sK10_SY244 @ SV50 )
= SY377 ) ) )
= $false )
| ( ( is_singleton_b @ SV50 )
= $true )
| ( ( SV50 = bot_bot_set_b )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1013]) ).
thf(1100,plain,
! [SV105: b,SV143: b > $o,SV51: b > $o] :
( ( ( ! [SY364: b] :
( ~ ( SV51 @ SY364 )
| ( SV143 @ SY364 ) ) )
= $false )
| ( ( SV143 @ ( hilbert_Eps_b @ SV51 ) )
= $true )
| ( ( SV51 @ SV105 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1014]) ).
thf(1101,plain,
! [SV145: set_b,SV107: set_b,SV53: b] :
( ( ( ord_less_eq_set_b @ ( insert_b @ SV53 @ SV107 ) @ SV145 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ ( insert_b @ SV53 @ SV107 ) @ SV145 )
| ~ ~ ( ~ ( member_b @ SV53 @ SV145 )
| ~ ( ord_less_eq_set_b @ SV107 @ SV145 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1015]) ).
thf(1102,plain,
! [SV107: set_b,SV145: set_b,SV53: b] :
( ( ( ~ ( ~ ( member_b @ SV53 @ SV145 )
| ~ ( ord_less_eq_set_b @ SV107 @ SV145 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ ( insert_b @ SV53 @ SV107 ) @ SV145 )
| ~ ~ ( ~ ( member_b @ SV53 @ SV145 )
| ~ ( ord_less_eq_set_b @ SV107 @ SV145 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1015]) ).
thf(1103,plain,
! [SV146: b,SV108: set_b,SV54: b] :
( ( ( ( insert_b @ SV54 @ SV108 )
= ( insert_b @ SV146 @ bot_bot_set_b ) )
= $false )
| ( ( ~ ( ( ( insert_b @ SV54 @ SV108 )
!= ( insert_b @ SV146 @ bot_bot_set_b ) )
| ~ ~ ( ( SV54 != SV146 )
| ~ ( ord_less_eq_set_b @ SV108 @ ( insert_b @ SV146 @ bot_bot_set_b ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1016]) ).
thf(1104,plain,
! [SV108: set_b,SV146: b,SV54: b] :
( ( ( ~ ( ( SV54 != SV146 )
| ~ ( ord_less_eq_set_b @ SV108 @ ( insert_b @ SV146 @ bot_bot_set_b ) ) ) )
= $false )
| ( ( ~ ( ( ( insert_b @ SV54 @ SV108 )
!= ( insert_b @ SV146 @ bot_bot_set_b ) )
| ~ ~ ( ( SV54 != SV146 )
| ~ ( ord_less_eq_set_b @ SV108 @ ( insert_b @ SV146 @ bot_bot_set_b ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1016]) ).
thf(1105,plain,
! [SV109: set_b] :
( ( ( ~ ( is_singleton_b @ SV109 )
| ~ ~ ! [SY332: b] :
( SV109
!= ( insert_b @ SY332 @ bot_bot_set_b ) ) )
= $false )
| ( ( is_singleton_b @ SV109 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1017]) ).
thf(1106,plain,
! [SV109: set_b] :
( ( ( ! [SY332: b] :
( SV109
!= ( insert_b @ SY332 @ bot_bot_set_b ) ) )
= $true )
| ( ( ~ ( ~ ( is_singleton_b @ SV109 )
| ~ ~ ! [SY332: b] :
( SV109
!= ( insert_b @ SY332 @ bot_bot_set_b ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1018]) ).
thf(1107,plain,
! [SV110: set_b,SV147: set_b,SV56: b] :
( ( ( ~ ~ ( member_b @ SV56 @ SV147 ) )
= $true )
| ( ( ( ( insert_b @ SV56 @ SV110 )
= ( insert_b @ SV56 @ SV147 ) )
= ( SV110 = SV147 ) )
= $true )
| ( ( member_b @ SV56 @ SV110 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1019]) ).
thf(1108,plain,
! [SV58: b > $o] :
( ( ( ~ ( SV58 @ ( hilbert_Eps_b @ SV58 ) ) )
= $false )
| ( ( SV58 @ ( hilbert_Eps_b @ SV58 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1020]) ).
thf(1109,plain,
! [SV58: b > $o] :
( ( ( ~ ~ ! [SY259: b] :
~ ( SV58 @ SY259 ) )
= $false )
| ( ( SV58 @ ( hilbert_Eps_b @ SV58 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1020]) ).
thf(1111,plain,
! [SV163: b,SV148: b,SV112: b,SV59: b] :
( ( ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
| ~ ( ( SV59 != SV148 )
| ( SV112 != SV163 ) )
| ~ ( ( SV59 != SV163 )
| ( SV112 != SV148 ) ) )
= $false )
| ( ( ~ ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
!= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
| ~ ( ~ ( ( SV59 != SV148 )
| ( SV112 != SV163 ) )
| ~ ( ( SV59 != SV163 )
| ( SV112 != SV148 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1022]) ).
thf(1112,plain,
! [SV113: b,SV60: b > $o] :
( ( ( ~ ( SV60 @ ( sK11_SY336 @ SV113 @ SV60 ) )
| ( ( sK11_SY336 @ SV113 @ SV60 )
= SV113 ) )
= $false )
| ( ( ( hilbert_Eps_b @ SV60 )
= SV113 )
= $true )
| ( ( SV60 @ SV113 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1023]) ).
thf(1113,plain,
! [SV149: set_b,SV114: b,SV61: b] :
( ( ( SV61 != SV114 )
= $false )
| ( ( member_b @ SV61 @ SV149 )
= $true )
| ( ( member_b @ SV61 @ ( insert_b @ SV114 @ SV149 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1024]) ).
thf(1114,plain,
! [SV115: b,SV167: b,SV62: b > $o] :
( ( ( ~ ( ~ ( SV62 @ SV167 )
| ~ ! [SY376: b] :
( ~ ( SV62 @ SY376 )
| ( SY376 = SV167 ) ) ) )
= $false )
| ( ( ~ ( SV62 @ SV115 )
| ( ( hilbert_Eps_b @ SV62 )
= SV115 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1025]) ).
thf(1115,plain,
! [SV116: set_Product_prod_b_b,SV63: set_b,SV150: b] :
( ( ( member_b @ SV150 @ SV63 )
= $false )
| ( ( member_b @ SV150 @ ( image_b_b @ SV116 @ ( insert_b @ SV150 @ bot_bot_set_b ) ) )
= $true )
| ( ( equiv_equiv_b @ SV63 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1026]) ).
thf(1116,plain,
! [SV151: set_b,SV117: b,SV64: b] :
( ( ( ( insert_b @ SV64 @ bot_bot_set_b )
= ( insert_b @ SV117 @ SV151 ) )
= $false )
| ( ( ~ ( ( ( insert_b @ SV64 @ bot_bot_set_b )
!= ( insert_b @ SV117 @ SV151 ) )
| ~ ~ ( ( SV117 != SV64 )
| ~ ( ord_less_eq_set_b @ SV151 @ ( insert_b @ SV64 @ bot_bot_set_b ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1027]) ).
thf(1117,plain,
! [SV151: set_b,SV64: b,SV117: b] :
( ( ( ~ ( ( SV117 != SV64 )
| ~ ( ord_less_eq_set_b @ SV151 @ ( insert_b @ SV64 @ bot_bot_set_b ) ) ) )
= $false )
| ( ( ~ ( ( ( insert_b @ SV64 @ bot_bot_set_b )
!= ( insert_b @ SV117 @ SV151 ) )
| ~ ~ ( ( SV117 != SV64 )
| ~ ( ord_less_eq_set_b @ SV151 @ ( insert_b @ SV64 @ bot_bot_set_b ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1027]) ).
thf(1118,plain,
! [SV65: set_b,SV170: b] :
( ( ( ~ ( member_b @ SV170 @ SV65 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY274: b] :
~ ( member_b @ SY274 @ SV65 )
| ~ ( ( SV65 != bot_bot_set_b ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1028]) ).
thf(1119,plain,
! [SV65: set_b] :
( ( ( ~ ~ ! [SY274: b] :
~ ( member_b @ SY274 @ SV65 )
| ~ ( ( SV65 != bot_bot_set_b ) ) )
= $false )
| ( ( SV65 = bot_bot_set_b )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1029]) ).
thf(1120,plain,
! [SV152: b,SV118: set_b,SV66: b] :
( ( ( ~ ( member_b @ SV66 @ SV118 ) )
= $true )
| ( ( member_b @ SV66 @ ( insert_b @ SV152 @ SV118 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1030]) ).
thf(1121,plain,
! [SV120: b > $o,SV168: b,SV68: b > $o] :
( ( ( SV68 @ SV168 )
= $false )
| ( ( ~ ! [SY344: b] :
( ~ ( SV68 @ SY344 )
| ( SV120 @ SY344 ) )
| ( SV120 @ ( hilbert_Eps_b @ SV68 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1032]) ).
thf(1122,plain,
! [SV69: set_b,SV121: set_b] :
( ( ( member_b @ ( sK3_SY345 @ SV121 @ SV69 ) @ SV69 )
= $true )
| ( ( ord_less_eq_set_b @ SV69 @ SV121 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1033]) ).
thf(1123,plain,
! [SV70: set_b] :
( ( ( ~ ( member_b
@ ( hilbert_Eps_b
@ ^ [SY283: b] : ( member_b @ SY283 @ SV70 ) )
@ SV70 ) )
= $false )
| ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SY283: b] : ( member_b @ SY283 @ SV70 ) )
@ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1035]) ).
thf(1124,plain,
! [SV70: set_b] :
( ( ( ~ ( ( SV70 != bot_bot_set_b ) ) )
= $false )
| ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SY283: b] : ( member_b @ SY283 @ SV70 ) )
@ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1035]) ).
thf(1125,plain,
! [SV70: set_b] :
( ( ( ~ ( member_b
@ ( hilbert_Eps_b
@ ^ [SY283: b] : ( member_b @ SY283 @ SV70 ) )
@ SV70 )
| ~ ( ( SV70 != bot_bot_set_b ) ) )
= $false )
| ( ( SV70 = bot_bot_set_b )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1036]) ).
thf(1126,plain,
! [SV164: set_b,SV153: b,SV123: set_b,SV72: b] :
( ( ( member_b @ SV72 @ SV123 )
= $true )
| ( ( ~ ~ ( member_b @ SV153 @ SV164 )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= ( ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1037]) ).
thf(1127,plain,
! [SV124: b,SV73: b > $o] :
( ( ( SV73 @ SV124 )
= $false )
| ( ( ( collect_b
@ ^ [SY349: b] :
~ ( ( SY349 != SV124 )
| ~ ( SV73 @ SY349 ) ) )
= ( insert_b @ SV124 @ bot_bot_set_b ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1038]) ).
thf(1128,plain,
! [SV124: b,SV73: b > $o] :
( ( ( ~ ( SV73 @ SV124 ) )
= $false )
| ( ( ( collect_b
@ ^ [SY350: b] :
~ ( ( SY350 != SV124 )
| ~ ( SV73 @ SY350 ) ) )
= bot_bot_set_b )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1039]) ).
thf(1129,plain,
! [SV125: b,SV154: b,SV74: b > $o] :
( ( ( SV74 @ SV154 )
= $false )
| ( ( SV74 @ SV125 )
= $true )
| ( ( ( hilbert_Eps_b @ SV74 )
= SV125 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1040]) ).
thf(1130,plain,
! [SV126: set_b,SV75: set_b,SV155: b] :
( ( ( member_b @ SV155 @ SV75 )
= $false )
| ( ( member_b @ SV155 @ SV126 )
= $true )
| ( ( ord_less_eq_set_b @ SV75 @ SV126 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1041]) ).
thf(1131,plain,
! [SV128: set_b,SV77: set_b,SV156: b] :
( ( ( member_b @ SV156 @ SV77 )
= $false )
| ( ( member_b @ SV156 @ SV128 )
= $true )
| ( ( ord_less_eq_set_b @ SV77 @ SV128 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1042]) ).
thf(1132,plain,
! [SV129: b > $o,SV78: b > $o] :
( ( ( ~ ( ( SV78 @ ( sK4_SY354 @ SV129 @ SV78 ) )
| ( SV129 @ ( sK4_SY354 @ SV129 @ SV78 ) ) ) )
= $false )
| ( ( ( hilbert_Eps_b @ SV78 )
= ( hilbert_Eps_b @ SV129 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1043]) ).
thf(1133,plain,
! [SV129: b > $o,SV78: b > $o] :
( ( ( ~ ( ~ ( SV78 @ ( sK4_SY354 @ SV129 @ SV78 ) )
| ~ ( SV129 @ ( sK4_SY354 @ SV129 @ SV78 ) ) ) )
= $false )
| ( ( ( hilbert_Eps_b @ SV78 )
= ( hilbert_Eps_b @ SV129 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1043]) ).
thf(1134,plain,
! [SV157: b > $o,SV130: b > $o,SV79: set_b,SV171: b] :
( ( ( ~ ~ ( ~ ( member_b @ SV171 @ SV79 )
| ~ ( SV130 @ SV171 ) ) )
= $true )
| ( ( ~ ! [SY369: b] :
( ~ ~ ( ~ ( member_b @ SY369 @ SV79 )
| ~ ( SV130 @ SY369 ) )
| ( SV157 @ SY369 ) )
| ( SV157
@ ( hilbert_Eps_b
@ ^ [SY358: b] :
~ ( ~ ( member_b @ SY358 @ SV79 )
| ~ ( SV130 @ SY358 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1045]) ).
thf(1135,plain,
! [SV165: set_b,SV132: set_b] :
( ( ( ( ord_less_eq_set_b @ SV132 @ SV165 )
| ! [SY375: b] :
( ~ ( member_b @ SY375 @ SV132 )
| ( member_b @ SY375 @ SV165 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV132 @ SV165 )
| ~ ! [SY375: b] :
( ~ ( member_b @ SY375 @ SV132 )
| ( member_b @ SY375 @ SV165 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1046]) ).
thf(1136,plain,
! [SV159: b,SV83: b] :
( ( ( p @ SV83 @ SV159 )
= $false )
| ( ( ~ ( ~ ( p @ SV83 @ SV159 )
| ~ ( member_b @ SV159 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV83 @ bot_bot_set_b ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1047]) ).
thf(1137,plain,
! [SV83: b,SV159: b] :
( ( ( member_b @ SV159 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV83 @ bot_bot_set_b ) ) )
= $false )
| ( ( ~ ( ~ ( p @ SV83 @ SV159 )
| ~ ( member_b @ SV159 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV83 @ bot_bot_set_b ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1047]) ).
thf(1139,plain,
! [SV9: b > $o] :
( ( ( ! [SY206: b] :
~ ( SV9 @ SY206 ) )
= $true )
| ( ( bot_bot_set_b
= ( collect_b @ SV9 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1049]) ).
thf(1140,plain,
! [SV9: b > $o] :
( ( ( ( bot_bot_set_b
!= ( collect_b @ SV9 ) )
| ~ ! [SY206: b] :
~ ( SV9 @ SY206 ) )
= $false )
| ( ( SV9 @ ( sK5_SY206 @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1050]) ).
thf(1142,plain,
! [SV10: b > $o] :
( ( ( ! [SY207: b] :
~ ( SV10 @ SY207 ) )
= $true )
| ( ( ( collect_b @ SV10 )
= bot_bot_set_b )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1052]) ).
thf(1143,plain,
! [SV10: b > $o] :
( ( ( ( ( collect_b @ SV10 )
!= bot_bot_set_b )
| ~ ! [SY207: b] :
~ ( SV10 @ SY207 ) )
= $false )
| ( ( SV10 @ ( sK6_SY207 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1053]) ).
thf(1144,plain,
! [SV11: set_b] :
( ( ( ~ ! [SY208: b] :
~ ( member_b @ SY208 @ SV11 )
| ( SV11 != bot_bot_set_b ) )
= $false )
| ( ( member_b @ ( sK7_SY208 @ SV11 ) @ SV11 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1054]) ).
thf(1145,plain,
! [SV11: set_b] :
( ( ( ! [SY208: b] :
~ ( member_b @ SY208 @ SV11 ) )
= $true )
| ( ( SV11 = bot_bot_set_b )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1055]) ).
thf(1147,plain,
! [SV135: set_b,SV86: b,SV14: b] :
( ( ( ~ ( member_b @ SV14 @ ( insert_b @ SV86 @ SV135 ) )
| ~ ( ( SV14 = SV86 )
| ( member_b @ SV14 @ SV135 ) ) )
= $false )
| ( ( member_b @ SV14 @ ( insert_b @ SV86 @ SV135 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1057]) ).
thf(1148,plain,
! [SV135: set_b,SV86: b,SV14: b] :
( ( ( SV14 = SV86 )
= $false )
| ( ( ~ ( ~ ( member_b @ SV14 @ ( insert_b @ SV86 @ SV135 ) )
| ~ ( ( SV14 = SV86 )
| ( member_b @ SV14 @ SV135 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1058]) ).
thf(1149,plain,
! [SV86: b,SV135: set_b,SV14: b] :
( ( ( member_b @ SV14 @ SV135 )
= $false )
| ( ( ~ ( ~ ( member_b @ SV14 @ ( insert_b @ SV86 @ SV135 ) )
| ~ ( ( SV14 = SV86 )
| ( member_b @ SV14 @ SV135 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1058]) ).
thf(1151,plain,
! [SV19: b,SV89: b > $o] :
( ( ( ~ ( SV89 @ SV19 ) )
= $false )
| ( ( member_b @ SV19 @ ( collect_b @ SV89 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1059]) ).
thf(1152,plain,
! [SV89: b > $o,SV19: b] :
( ( ( ~ ( member_b @ SV19 @ ( collect_b @ SV89 ) ) )
= $false )
| ( ( SV89 @ SV19 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1060]) ).
thf(1155,plain,
! [SV91: b,SV22: b] :
( ( ( SV22 != SV91 )
= $false )
| ( ( member_b @ SV22 @ ( insert_b @ SV91 @ bot_bot_set_b ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1061]) ).
thf(1156,plain,
! [SV91: b,SV22: b] :
( ( ( ~ ( member_b @ SV22 @ ( insert_b @ SV91 @ bot_bot_set_b ) ) )
= $false )
| ( ( SV22 = SV91 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1062]) ).
thf(1159,plain,
! [SV23: b] :
( ( ( ~ ( member_b @ SV23 @ ( labele1424214014nt_a_b @ g ) ) )
= $true )
| ( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV23 @ bot_bot_set_b ) )
= bot_bot_set_b )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1064]) ).
thf(1160,plain,
! [SV23: b] :
( ( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV23 @ bot_bot_set_b ) )
!= bot_bot_set_b )
= $false )
| ( ( member_b @ SV23 @ ( labele1424214014nt_a_b @ g ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1065]) ).
thf(1163,plain,
! [SV92: b] :
( ( ( ~ ( member_b @ SV92 @ bot_bot_set_b ) )
= $false )
| ( ( bot_bot_b_o @ SV92 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1066]) ).
thf(1164,plain,
! [SV92: b] :
( ( ( ~ ( bot_bot_b_o @ SV92 ) )
= $false )
| ( ( member_b @ SV92 @ bot_bot_set_b )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1067]) ).
thf(1167,plain,
! [SV30: set_b] :
( ( ( SV30 = bot_bot_set_b )
= $true )
| ( ( ord_less_eq_set_b @ SV30 @ bot_bot_set_b )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1069]) ).
thf(1168,plain,
! [SV30: set_b] :
( ( ( ord_less_eq_set_b @ SV30 @ bot_bot_set_b )
= $true )
| ( ( SV30 = bot_bot_set_b )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1070]) ).
thf(1171,plain,
! [SV31: set_b] :
( ( ( SV31 = bot_bot_set_b )
= $true )
| ( ( ord_less_eq_set_b @ SV31 @ bot_bot_set_b )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1073]) ).
thf(1172,plain,
! [SV31: set_b] :
( ( ( ord_less_eq_set_b @ SV31 @ bot_bot_set_b )
= $true )
| ( ( SV31 = bot_bot_set_b )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1074]) ).
thf(1175,plain,
! [SV95: b,SV34: set_b] :
( ( ( ~ ( ( SV34 = bot_bot_set_b )
| ( SV34
= ( insert_b @ SV95 @ bot_bot_set_b ) ) ) )
= $false )
| ( ( ord_less_eq_set_b @ SV34 @ ( insert_b @ SV95 @ bot_bot_set_b ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1076]) ).
thf(1176,plain,
! [SV95: b,SV34: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV34 @ ( insert_b @ SV95 @ bot_bot_set_b ) )
| ~ ( ( SV34 = bot_bot_set_b )
| ( SV34
= ( insert_b @ SV95 @ bot_bot_set_b ) ) ) )
= $false )
| ( ( SV34 = bot_bot_set_b )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1077]) ).
thf(1177,plain,
! [SV95: b,SV34: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV34 @ ( insert_b @ SV95 @ bot_bot_set_b ) )
| ~ ( ( SV34 = bot_bot_set_b )
| ( SV34
= ( insert_b @ SV95 @ bot_bot_set_b ) ) ) )
= $false )
| ( ( SV34
= ( insert_b @ SV95 @ bot_bot_set_b ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1078]) ).
thf(1180,plain,
! [SV35: $o] :
( ( ( ~ SV35 ) = $false )
| ( $true = $false )
| ( ( SV35 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1080]) ).
thf(1182,plain,
! [SV35: $o] :
( ( ( ~ SV35
| ~ $false )
= $false )
| ( SV35 = $false )
| ( ( SV35 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1081]) ).
thf(1196,plain,
! [SV41: b,SV97: set_b] :
( ( ( ( SV97
!= ( insert_b @ SV41 @ ( sK8_SY318 @ SV41 @ SV97 ) ) )
| ~ ~ ( member_b @ SV41 @ ( sK8_SY318 @ SV41 @ SV97 ) ) )
= $false )
| ( ( member_b @ SV41 @ SV97 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1091]) ).
thf(1197,plain,
! [SV99: b,SV44: b > $o] :
( ( ( SV44 @ SV99 )
= $true )
| ( ( ( collect_b
@ ^ [SY321: b] :
~ ( ( SV99 != SY321 )
| ~ ( SV44 @ SY321 ) ) )
= bot_bot_set_b )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1093]) ).
thf(1198,plain,
! [SV162: set_b,SV101: set_b] :
( ( ( ord_less_eq_set_b @ SV101 @ SV162 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV101 @ SV162 )
| ~ ! [SY373: b] :
( ~ ( member_b @ SY373 @ SV101 )
| ( member_b @ SY373 @ SV162 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1094]) ).
thf(1199,plain,
! [SV162: set_b,SV101: set_b] :
( ( ( ! [SY373: b] :
( ~ ( member_b @ SY373 @ SV101 )
| ( member_b @ SY373 @ SV162 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV101 @ SV162 )
| ~ ! [SY373: b] :
( ~ ( member_b @ SY373 @ SV101 )
| ( member_b @ SY373 @ SV162 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1094]) ).
thf(1200,plain,
! [SV141: set_b,SV47: b,SV102: set_b] :
( ( ( ~ ( ( ord_less_eq_set_b @ SV102 @ ( insert_b @ SV47 @ SV141 ) )
| ( ord_less_eq_set_b @ SV102 @ SV141 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV102 @ ( insert_b @ SV47 @ SV141 ) )
| ~ ( ord_less_eq_set_b @ SV102 @ SV141 ) ) )
= $true )
| ( ( member_b @ SV47 @ SV102 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1095]) ).
thf(1201,plain,
! [SV49: b,SV104: set_b] :
( ( ( SV104
= ( insert_b @ SV49 @ ( sK9_SY326 @ SV49 @ SV104 ) ) )
= $true )
| ( ( member_b @ SV49 @ SV104 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1097]) ).
thf(1202,plain,
! [SV50: set_b] :
( ( ( ~ ( member_b @ ( sK10_SY244 @ SV50 ) @ SV50 )
| ~ ( member_b @ ( sK12_SY377 @ SV50 ) @ SV50 )
| ( ( sK10_SY244 @ SV50 )
= ( sK12_SY377 @ SV50 ) ) )
= $false )
| ( ( is_singleton_b @ SV50 )
= $true )
| ( ( SV50 = bot_bot_set_b )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1099]) ).
thf(1203,plain,
! [SV143: b > $o,SV105: b,SV51: b > $o] :
( ( ( ~ ( SV51 @ ( sK13_SY364 @ SV105 @ SV143 @ SV51 ) )
| ( SV143 @ ( sK13_SY364 @ SV105 @ SV143 @ SV51 ) ) )
= $false )
| ( ( SV143 @ ( hilbert_Eps_b @ SV51 ) )
= $true )
| ( ( SV51 @ SV105 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1100]) ).
thf(1204,plain,
! [SV145: set_b,SV107: set_b,SV53: b] :
( ( ( ~ ( ord_less_eq_set_b @ ( insert_b @ SV53 @ SV107 ) @ SV145 )
| ~ ~ ( ~ ( member_b @ SV53 @ SV145 )
| ~ ( ord_less_eq_set_b @ SV107 @ SV145 ) ) )
= $false )
| ( ( ord_less_eq_set_b @ ( insert_b @ SV53 @ SV107 ) @ SV145 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1101]) ).
thf(1205,plain,
! [SV107: set_b,SV145: set_b,SV53: b] :
( ( ( ~ ( member_b @ SV53 @ SV145 )
| ~ ( ord_less_eq_set_b @ SV107 @ SV145 ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ ( insert_b @ SV53 @ SV107 ) @ SV145 )
| ~ ~ ( ~ ( member_b @ SV53 @ SV145 )
| ~ ( ord_less_eq_set_b @ SV107 @ SV145 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1102]) ).
thf(1206,plain,
! [SV146: b,SV108: set_b,SV54: b] :
( ( ( ( ( insert_b @ SV54 @ SV108 )
!= ( insert_b @ SV146 @ bot_bot_set_b ) )
| ~ ~ ( ( SV54 != SV146 )
| ~ ( ord_less_eq_set_b @ SV108 @ ( insert_b @ SV146 @ bot_bot_set_b ) ) ) )
= $false )
| ( ( ( insert_b @ SV54 @ SV108 )
= ( insert_b @ SV146 @ bot_bot_set_b ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1103]) ).
thf(1207,plain,
! [SV108: set_b,SV146: b,SV54: b] :
( ( ( ( SV54 != SV146 )
| ~ ( ord_less_eq_set_b @ SV108 @ ( insert_b @ SV146 @ bot_bot_set_b ) ) )
= $true )
| ( ( ~ ( ( ( insert_b @ SV54 @ SV108 )
!= ( insert_b @ SV146 @ bot_bot_set_b ) )
| ~ ~ ( ( SV54 != SV146 )
| ~ ( ord_less_eq_set_b @ SV108 @ ( insert_b @ SV146 @ bot_bot_set_b ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1104]) ).
thf(1209,plain,
! [SV109: set_b] :
( ( ( ~ ~ ! [SY332: b] :
( SV109
!= ( insert_b @ SY332 @ bot_bot_set_b ) ) )
= $false )
| ( ( is_singleton_b @ SV109 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1105]) ).
thf(1210,plain,
! [SV172: b,SV109: set_b] :
( ( ( SV109
!= ( insert_b @ SV172 @ bot_bot_set_b ) )
= $true )
| ( ( ~ ( ~ ( is_singleton_b @ SV109 )
| ~ ~ ! [SY332: b] :
( SV109
!= ( insert_b @ SY332 @ bot_bot_set_b ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1106]) ).
thf(1211,plain,
! [SV110: set_b,SV147: set_b,SV56: b] :
( ( ( ~ ( member_b @ SV56 @ SV147 ) )
= $false )
| ( ( ( ( insert_b @ SV56 @ SV110 )
= ( insert_b @ SV56 @ SV147 ) )
= ( SV110 = SV147 ) )
= $true )
| ( ( member_b @ SV56 @ SV110 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1107]) ).
thf(1212,plain,
! [SV58: b > $o] :
( ( ( SV58 @ ( hilbert_Eps_b @ SV58 ) )
= $true )
| ( ( SV58 @ ( hilbert_Eps_b @ SV58 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1108]) ).
thf(1213,plain,
! [SV58: b > $o] :
( ( ( ~ ! [SY259: b] :
~ ( SV58 @ SY259 ) )
= $true )
| ( ( SV58 @ ( hilbert_Eps_b @ SV58 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1109]) ).
thf(1215,plain,
! [SV163: b,SV148: b,SV112: b,SV59: b] :
( ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
= $false )
| ( ( ~ ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
!= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
| ~ ( ~ ( ( SV59 != SV148 )
| ( SV112 != SV163 ) )
| ~ ( ( SV59 != SV163 )
| ( SV112 != SV148 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1111]) ).
thf(1216,plain,
! [SV163: b,SV112: b,SV148: b,SV59: b] :
( ( ( ~ ( ( SV59 != SV148 )
| ( SV112 != SV163 ) )
| ~ ( ( SV59 != SV163 )
| ( SV112 != SV148 ) ) )
= $false )
| ( ( ~ ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
!= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
| ~ ( ~ ( ( SV59 != SV148 )
| ( SV112 != SV163 ) )
| ~ ( ( SV59 != SV163 )
| ( SV112 != SV148 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1111]) ).
thf(1217,plain,
! [SV113: b,SV60: b > $o] :
( ( ( ~ ( SV60 @ ( sK11_SY336 @ SV113 @ SV60 ) ) )
= $false )
| ( ( ( hilbert_Eps_b @ SV60 )
= SV113 )
= $true )
| ( ( SV60 @ SV113 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1112]) ).
thf(1218,plain,
! [SV60: b > $o,SV113: b] :
( ( ( ( sK11_SY336 @ SV113 @ SV60 )
= SV113 )
= $false )
| ( ( ( hilbert_Eps_b @ SV60 )
= SV113 )
= $true )
| ( ( SV60 @ SV113 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1112]) ).
thf(1219,plain,
! [SV149: set_b,SV114: b,SV61: b] :
( ( ( SV61 = SV114 )
= $true )
| ( ( member_b @ SV61 @ SV149 )
= $true )
| ( ( member_b @ SV61 @ ( insert_b @ SV114 @ SV149 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1113]) ).
thf(1220,plain,
! [SV115: b,SV167: b,SV62: b > $o] :
( ( ( ~ ( SV62 @ SV167 )
| ~ ! [SY376: b] :
( ~ ( SV62 @ SY376 )
| ( SY376 = SV167 ) ) )
= $true )
| ( ( ~ ( SV62 @ SV115 )
| ( ( hilbert_Eps_b @ SV62 )
= SV115 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1114]) ).
thf(1221,plain,
! [SV151: set_b,SV117: b,SV64: b] :
( ( ( ( ( insert_b @ SV64 @ bot_bot_set_b )
!= ( insert_b @ SV117 @ SV151 ) )
| ~ ~ ( ( SV117 != SV64 )
| ~ ( ord_less_eq_set_b @ SV151 @ ( insert_b @ SV64 @ bot_bot_set_b ) ) ) )
= $false )
| ( ( ( insert_b @ SV64 @ bot_bot_set_b )
= ( insert_b @ SV117 @ SV151 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1116]) ).
thf(1222,plain,
! [SV151: set_b,SV64: b,SV117: b] :
( ( ( ( SV117 != SV64 )
| ~ ( ord_less_eq_set_b @ SV151 @ ( insert_b @ SV64 @ bot_bot_set_b ) ) )
= $true )
| ( ( ~ ( ( ( insert_b @ SV64 @ bot_bot_set_b )
!= ( insert_b @ SV117 @ SV151 ) )
| ~ ~ ( ( SV117 != SV64 )
| ~ ( ord_less_eq_set_b @ SV151 @ ( insert_b @ SV64 @ bot_bot_set_b ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1117]) ).
thf(1223,plain,
! [SV65: set_b,SV170: b] :
( ( ( member_b @ SV170 @ SV65 )
= $false )
| ( ( ~ ( ~ ~ ! [SY274: b] :
~ ( member_b @ SY274 @ SV65 )
| ~ ( ( SV65 != bot_bot_set_b ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1118]) ).
thf(1224,plain,
! [SV65: set_b] :
( ( ( ~ ~ ! [SY274: b] :
~ ( member_b @ SY274 @ SV65 ) )
= $false )
| ( ( SV65 = bot_bot_set_b )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1119]) ).
thf(1226,plain,
! [SV152: b,SV118: set_b,SV66: b] :
( ( ( member_b @ SV66 @ SV118 )
= $false )
| ( ( member_b @ SV66 @ ( insert_b @ SV152 @ SV118 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1120]) ).
thf(1227,plain,
! [SV168: b,SV120: b > $o,SV68: b > $o] :
( ( ( ~ ! [SY344: b] :
( ~ ( SV68 @ SY344 )
| ( SV120 @ SY344 ) ) )
= $true )
| ( ( SV120 @ ( hilbert_Eps_b @ SV68 ) )
= $true )
| ( ( SV68 @ SV168 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1121]) ).
thf(1228,plain,
! [SV70: set_b] :
( ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SY283: b] : ( member_b @ SY283 @ SV70 ) )
@ SV70 )
= $true )
| ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SY283: b] : ( member_b @ SY283 @ SV70 ) )
@ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1123]) ).
thf(1229,plain,
! [SV70: set_b] :
( ( ( SV70 != bot_bot_set_b )
= $true )
| ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SY283: b] : ( member_b @ SY283 @ SV70 ) )
@ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1124]) ).
thf(1230,plain,
! [SV70: set_b] :
( ( ( ~ ( member_b
@ ( hilbert_Eps_b
@ ^ [SY283: b] : ( member_b @ SY283 @ SV70 ) )
@ SV70 ) )
= $false )
| ( ( SV70 = bot_bot_set_b )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1125]) ).
thf(1232,plain,
! [SV123: set_b,SV72: b,SV164: set_b,SV153: b] :
( ( ( ~ ~ ( member_b @ SV153 @ SV164 ) )
= $true )
| ( ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= ( ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1126]) ).
thf(1233,plain,
! [SV124: b,SV73: b > $o] :
( ( ( SV73 @ SV124 )
= $true )
| ( ( ( collect_b
@ ^ [SY350: b] :
~ ( ( SY350 != SV124 )
| ~ ( SV73 @ SY350 ) ) )
= bot_bot_set_b )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1128]) ).
thf(1234,plain,
! [SV129: b > $o,SV78: b > $o] :
( ( ( ( SV78 @ ( sK4_SY354 @ SV129 @ SV78 ) )
| ( SV129 @ ( sK4_SY354 @ SV129 @ SV78 ) ) )
= $true )
| ( ( ( hilbert_Eps_b @ SV78 )
= ( hilbert_Eps_b @ SV129 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1132]) ).
thf(1235,plain,
! [SV129: b > $o,SV78: b > $o] :
( ( ( ~ ( SV78 @ ( sK4_SY354 @ SV129 @ SV78 ) )
| ~ ( SV129 @ ( sK4_SY354 @ SV129 @ SV78 ) ) )
= $true )
| ( ( ( hilbert_Eps_b @ SV78 )
= ( hilbert_Eps_b @ SV129 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1133]) ).
thf(1236,plain,
! [SV157: b > $o,SV130: b > $o,SV79: set_b,SV171: b] :
( ( ( ~ ( ~ ( member_b @ SV171 @ SV79 )
| ~ ( SV130 @ SV171 ) ) )
= $false )
| ( ( ~ ! [SY369: b] :
( ~ ~ ( ~ ( member_b @ SY369 @ SV79 )
| ~ ( SV130 @ SY369 ) )
| ( SV157 @ SY369 ) )
| ( SV157
@ ( hilbert_Eps_b
@ ^ [SY358: b] :
~ ( ~ ( member_b @ SY358 @ SV79 )
| ~ ( SV130 @ SY358 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1134]) ).
thf(1237,plain,
! [SV165: set_b,SV132: set_b] :
( ( ( ord_less_eq_set_b @ SV132 @ SV165 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV132 @ SV165 )
| ~ ! [SY375: b] :
( ~ ( member_b @ SY375 @ SV132 )
| ( member_b @ SY375 @ SV165 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1135]) ).
thf(1238,plain,
! [SV165: set_b,SV132: set_b] :
( ( ( ! [SY375: b] :
( ~ ( member_b @ SY375 @ SV132 )
| ( member_b @ SY375 @ SV165 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV132 @ SV165 )
| ~ ! [SY375: b] :
( ~ ( member_b @ SY375 @ SV132 )
| ( member_b @ SY375 @ SV165 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1135]) ).
thf(1239,plain,
! [SV159: b,SV83: b] :
( ( ( ~ ( p @ SV83 @ SV159 )
| ~ ( member_b @ SV159 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV83 @ bot_bot_set_b ) ) ) )
= $false )
| ( ( p @ SV83 @ SV159 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1136]) ).
thf(1240,plain,
! [SV159: b,SV83: b] :
( ( ( ~ ( p @ SV83 @ SV159 )
| ~ ( member_b @ SV159 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV83 @ bot_bot_set_b ) ) ) )
= $false )
| ( ( member_b @ SV159 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV83 @ bot_bot_set_b ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1137]) ).
thf(1241,plain,
! [SV173: b,SV9: b > $o] :
( ( ( ~ ( SV9 @ SV173 ) )
= $true )
| ( ( bot_bot_set_b
= ( collect_b @ SV9 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1139]) ).
thf(1242,plain,
! [SV9: b > $o] :
( ( ( bot_bot_set_b
!= ( collect_b @ SV9 ) )
= $false )
| ( ( SV9 @ ( sK5_SY206 @ SV9 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1140]) ).
thf(1243,plain,
! [SV9: b > $o] :
( ( ( ~ ! [SY206: b] :
~ ( SV9 @ SY206 ) )
= $false )
| ( ( SV9 @ ( sK5_SY206 @ SV9 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1140]) ).
thf(1244,plain,
! [SV174: b,SV10: b > $o] :
( ( ( ~ ( SV10 @ SV174 ) )
= $true )
| ( ( ( collect_b @ SV10 )
= bot_bot_set_b )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1142]) ).
thf(1245,plain,
! [SV10: b > $o] :
( ( ( ( collect_b @ SV10 )
!= bot_bot_set_b )
= $false )
| ( ( SV10 @ ( sK6_SY207 @ SV10 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1143]) ).
thf(1246,plain,
! [SV10: b > $o] :
( ( ( ~ ! [SY207: b] :
~ ( SV10 @ SY207 ) )
= $false )
| ( ( SV10 @ ( sK6_SY207 @ SV10 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1143]) ).
thf(1247,plain,
! [SV11: set_b] :
( ( ( ~ ! [SY208: b] :
~ ( member_b @ SY208 @ SV11 ) )
= $false )
| ( ( member_b @ ( sK7_SY208 @ SV11 ) @ SV11 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1144]) ).
thf(1248,plain,
! [SV11: set_b] :
( ( ( SV11 != bot_bot_set_b )
= $false )
| ( ( member_b @ ( sK7_SY208 @ SV11 ) @ SV11 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1144]) ).
thf(1249,plain,
! [SV11: set_b,SV175: b] :
( ( ( ~ ( member_b @ SV175 @ SV11 ) )
= $true )
| ( ( SV11 = bot_bot_set_b )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1145]) ).
thf(1251,plain,
! [SV135: set_b,SV86: b,SV14: b] :
( ( ( ~ ( ( SV14 = SV86 )
| ( member_b @ SV14 @ SV135 ) ) )
= $false )
| ( ( member_b @ SV14 @ ( insert_b @ SV86 @ SV135 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1147]) ).
thf(1252,plain,
! [SV135: set_b,SV86: b,SV14: b] :
( ( ( ~ ( member_b @ SV14 @ ( insert_b @ SV86 @ SV135 ) )
| ~ ( ( SV14 = SV86 )
| ( member_b @ SV14 @ SV135 ) ) )
= $false )
| ( ( SV14 = SV86 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1148]) ).
thf(1253,plain,
! [SV135: set_b,SV86: b,SV14: b] :
( ( ( ~ ( member_b @ SV14 @ ( insert_b @ SV86 @ SV135 ) )
| ~ ( ( SV14 = SV86 )
| ( member_b @ SV14 @ SV135 ) ) )
= $false )
| ( ( member_b @ SV14 @ SV135 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1149]) ).
thf(1255,plain,
! [SV19: b,SV89: b > $o] :
( ( ( SV89 @ SV19 )
= $true )
| ( ( member_b @ SV19 @ ( collect_b @ SV89 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1151]) ).
thf(1256,plain,
! [SV89: b > $o,SV19: b] :
( ( ( member_b @ SV19 @ ( collect_b @ SV89 ) )
= $true )
| ( ( SV89 @ SV19 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1152]) ).
thf(1259,plain,
! [SV91: b,SV22: b] :
( ( ( SV22 = SV91 )
= $true )
| ( ( member_b @ SV22 @ ( insert_b @ SV91 @ bot_bot_set_b ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1155]) ).
thf(1260,plain,
! [SV91: b,SV22: b] :
( ( ( member_b @ SV22 @ ( insert_b @ SV91 @ bot_bot_set_b ) )
= $true )
| ( ( SV22 = SV91 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1156]) ).
thf(1262,plain,
! [SV23: b] :
( ( ( member_b @ SV23 @ ( labele1424214014nt_a_b @ g ) )
= $false )
| ( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV23 @ bot_bot_set_b ) )
= bot_bot_set_b )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1159]) ).
thf(1263,plain,
! [SV23: b] :
( ( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV23 @ bot_bot_set_b ) )
= bot_bot_set_b )
= $true )
| ( ( member_b @ SV23 @ ( labele1424214014nt_a_b @ g ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1160]) ).
thf(1266,plain,
! [SV92: b] :
( ( ( member_b @ SV92 @ bot_bot_set_b )
= $true )
| ( ( bot_bot_b_o @ SV92 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1163]) ).
thf(1267,plain,
! [SV92: b] :
( ( ( bot_bot_b_o @ SV92 )
= $true )
| ( ( member_b @ SV92 @ bot_bot_set_b )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1164]) ).
thf(1270,plain,
! [SV95: b,SV34: set_b] :
( ( ( ( SV34 = bot_bot_set_b )
| ( SV34
= ( insert_b @ SV95 @ bot_bot_set_b ) ) )
= $true )
| ( ( ord_less_eq_set_b @ SV34 @ ( insert_b @ SV95 @ bot_bot_set_b ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1175]) ).
thf(1271,plain,
! [SV95: b,SV34: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV34 @ ( insert_b @ SV95 @ bot_bot_set_b ) ) )
= $false )
| ( ( SV34 = bot_bot_set_b )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1176]) ).
thf(1273,plain,
! [SV95: b,SV34: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV34 @ ( insert_b @ SV95 @ bot_bot_set_b ) ) )
= $false )
| ( ( SV34
= ( insert_b @ SV95 @ bot_bot_set_b ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1177]) ).
thf(1277,plain,
! [SV35: $o] :
( ( SV35 = $true )
| ( $true = $false )
| ( ( SV35 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1180]) ).
thf(1280,plain,
! [SV35: $o] :
( ( ( ~ $false ) = $false )
| ( SV35 = $false )
| ( ( SV35 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1182]) ).
thf(1299,plain,
! [SV41: b,SV97: set_b] :
( ( ( SV97
!= ( insert_b @ SV41 @ ( sK8_SY318 @ SV41 @ SV97 ) ) )
= $false )
| ( ( member_b @ SV41 @ SV97 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1196]) ).
thf(1300,plain,
! [SV97: set_b,SV41: b] :
( ( ( ~ ~ ( member_b @ SV41 @ ( sK8_SY318 @ SV41 @ SV97 ) ) )
= $false )
| ( ( member_b @ SV41 @ SV97 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1196]) ).
thf(1301,plain,
! [SV162: set_b,SV101: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV101 @ SV162 )
| ~ ! [SY373: b] :
( ~ ( member_b @ SY373 @ SV101 )
| ( member_b @ SY373 @ SV162 ) ) )
= $false )
| ( ( ord_less_eq_set_b @ SV101 @ SV162 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1198]) ).
thf(1302,plain,
! [SV101: set_b,SV162: set_b] :
( ( ( ~ ( member_b @ ( sK14_SY373 @ SV162 @ SV101 ) @ SV101 )
| ( member_b @ ( sK14_SY373 @ SV162 @ SV101 ) @ SV162 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV101 @ SV162 )
| ~ ! [SY373: b] :
( ~ ( member_b @ SY373 @ SV101 )
| ( member_b @ SY373 @ SV162 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1199]) ).
thf(1303,plain,
! [SV141: set_b,SV47: b,SV102: set_b] :
( ( ( ( ord_less_eq_set_b @ SV102 @ ( insert_b @ SV47 @ SV141 ) )
| ( ord_less_eq_set_b @ SV102 @ SV141 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV102 @ ( insert_b @ SV47 @ SV141 ) )
| ~ ( ord_less_eq_set_b @ SV102 @ SV141 ) ) )
= $true )
| ( ( member_b @ SV47 @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1200]) ).
thf(1304,plain,
! [SV50: set_b] :
( ( ( ~ ( member_b @ ( sK10_SY244 @ SV50 ) @ SV50 ) )
= $false )
| ( ( is_singleton_b @ SV50 )
= $true )
| ( ( SV50 = bot_bot_set_b )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1202]) ).
thf(1305,plain,
! [SV50: set_b] :
( ( ( ~ ( member_b @ ( sK12_SY377 @ SV50 ) @ SV50 )
| ( ( sK10_SY244 @ SV50 )
= ( sK12_SY377 @ SV50 ) ) )
= $false )
| ( ( is_singleton_b @ SV50 )
= $true )
| ( ( SV50 = bot_bot_set_b )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1202]) ).
thf(1306,plain,
! [SV143: b > $o,SV105: b,SV51: b > $o] :
( ( ( ~ ( SV51 @ ( sK13_SY364 @ SV105 @ SV143 @ SV51 ) ) )
= $false )
| ( ( SV143 @ ( hilbert_Eps_b @ SV51 ) )
= $true )
| ( ( SV51 @ SV105 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1203]) ).
thf(1307,plain,
! [SV51: b > $o,SV105: b,SV143: b > $o] :
( ( ( SV143 @ ( sK13_SY364 @ SV105 @ SV143 @ SV51 ) )
= $false )
| ( ( SV143 @ ( hilbert_Eps_b @ SV51 ) )
= $true )
| ( ( SV51 @ SV105 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1203]) ).
thf(1309,plain,
! [SV107: set_b,SV145: set_b,SV53: b] :
( ( ( ~ ~ ( ~ ( member_b @ SV53 @ SV145 )
| ~ ( ord_less_eq_set_b @ SV107 @ SV145 ) ) )
= $false )
| ( ( ord_less_eq_set_b @ ( insert_b @ SV53 @ SV107 ) @ SV145 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1204]) ).
thf(1310,plain,
! [SV107: set_b,SV145: set_b,SV53: b] :
( ( ( ~ ( member_b @ SV53 @ SV145 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_b @ SV107 @ SV145 ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ ( insert_b @ SV53 @ SV107 ) @ SV145 )
| ~ ~ ( ~ ( member_b @ SV53 @ SV145 )
| ~ ( ord_less_eq_set_b @ SV107 @ SV145 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1205]) ).
thf(1312,plain,
! [SV108: set_b,SV146: b,SV54: b] :
( ( ( ~ ~ ( ( SV54 != SV146 )
| ~ ( ord_less_eq_set_b @ SV108 @ ( insert_b @ SV146 @ bot_bot_set_b ) ) ) )
= $false )
| ( ( ( insert_b @ SV54 @ SV108 )
= ( insert_b @ SV146 @ bot_bot_set_b ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1206]) ).
thf(1313,plain,
! [SV108: set_b,SV146: b,SV54: b] :
( ( ( SV54 != SV146 )
= $true )
| ( ( ~ ( ord_less_eq_set_b @ SV108 @ ( insert_b @ SV146 @ bot_bot_set_b ) ) )
= $true )
| ( ( ~ ( ( ( insert_b @ SV54 @ SV108 )
!= ( insert_b @ SV146 @ bot_bot_set_b ) )
| ~ ~ ( ( SV54 != SV146 )
| ~ ( ord_less_eq_set_b @ SV108 @ ( insert_b @ SV146 @ bot_bot_set_b ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1207]) ).
thf(1315,plain,
! [SV109: set_b] :
( ( ( ~ ! [SY332: b] :
( SV109
!= ( insert_b @ SY332 @ bot_bot_set_b ) ) )
= $true )
| ( ( is_singleton_b @ SV109 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1209]) ).
thf(1316,plain,
! [SV172: b,SV109: set_b] :
( ( ( SV109
= ( insert_b @ SV172 @ bot_bot_set_b ) )
= $false )
| ( ( ~ ( ~ ( is_singleton_b @ SV109 )
| ~ ~ ! [SY332: b] :
( SV109
!= ( insert_b @ SY332 @ bot_bot_set_b ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1210]) ).
thf(1317,plain,
! [SV110: set_b,SV147: set_b,SV56: b] :
( ( ( member_b @ SV56 @ SV147 )
= $true )
| ( ( ( ( insert_b @ SV56 @ SV110 )
= ( insert_b @ SV56 @ SV147 ) )
= ( SV110 = SV147 ) )
= $true )
| ( ( member_b @ SV56 @ SV110 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1211]) ).
thf(1318,plain,
! [SV58: b > $o] :
( ( ( ! [SY259: b] :
~ ( SV58 @ SY259 ) )
= $false )
| ( ( SV58 @ ( hilbert_Eps_b @ SV58 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1213]) ).
thf(1320,plain,
! [SV163: b,SV148: b,SV112: b,SV59: b] :
( ( ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
!= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
| ~ ( ~ ( ( SV59 != SV148 )
| ( SV112 != SV163 ) )
| ~ ( ( SV59 != SV163 )
| ( SV112 != SV148 ) ) ) )
= $false )
| ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1215]) ).
thf(1321,plain,
! [SV163: b,SV112: b,SV148: b,SV59: b] :
( ( ( ~ ( ( SV59 != SV148 )
| ( SV112 != SV163 ) ) )
= $false )
| ( ( ~ ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
!= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
| ~ ( ~ ( ( SV59 != SV148 )
| ( SV112 != SV163 ) )
| ~ ( ( SV59 != SV163 )
| ( SV112 != SV148 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1216]) ).
thf(1322,plain,
! [SV148: b,SV112: b,SV163: b,SV59: b] :
( ( ( ~ ( ( SV59 != SV163 )
| ( SV112 != SV148 ) ) )
= $false )
| ( ( ~ ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
!= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
| ~ ( ~ ( ( SV59 != SV148 )
| ( SV112 != SV163 ) )
| ~ ( ( SV59 != SV163 )
| ( SV112 != SV148 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1216]) ).
thf(1323,plain,
! [SV113: b,SV60: b > $o] :
( ( ( SV60 @ ( sK11_SY336 @ SV113 @ SV60 ) )
= $true )
| ( ( ( hilbert_Eps_b @ SV60 )
= SV113 )
= $true )
| ( ( SV60 @ SV113 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1217]) ).
thf(1324,plain,
! [SV115: b,SV167: b,SV62: b > $o] :
( ( ( ~ ( SV62 @ SV167 ) )
= $true )
| ( ( ~ ! [SY376: b] :
( ~ ( SV62 @ SY376 )
| ( SY376 = SV167 ) ) )
= $true )
| ( ( ~ ( SV62 @ SV115 )
| ( ( hilbert_Eps_b @ SV62 )
= SV115 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1220]) ).
thf(1326,plain,
! [SV151: set_b,SV64: b,SV117: b] :
( ( ( ~ ~ ( ( SV117 != SV64 )
| ~ ( ord_less_eq_set_b @ SV151 @ ( insert_b @ SV64 @ bot_bot_set_b ) ) ) )
= $false )
| ( ( ( insert_b @ SV64 @ bot_bot_set_b )
= ( insert_b @ SV117 @ SV151 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1221]) ).
thf(1327,plain,
! [SV151: set_b,SV64: b,SV117: b] :
( ( ( SV117 != SV64 )
= $true )
| ( ( ~ ( ord_less_eq_set_b @ SV151 @ ( insert_b @ SV64 @ bot_bot_set_b ) ) )
= $true )
| ( ( ~ ( ( ( insert_b @ SV64 @ bot_bot_set_b )
!= ( insert_b @ SV117 @ SV151 ) )
| ~ ~ ( ( SV117 != SV64 )
| ~ ( ord_less_eq_set_b @ SV151 @ ( insert_b @ SV64 @ bot_bot_set_b ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1222]) ).
thf(1328,plain,
! [SV170: b,SV65: set_b] :
( ( ( ~ ~ ! [SY274: b] :
~ ( member_b @ SY274 @ SV65 )
| ~ ( ( SV65 != bot_bot_set_b ) ) )
= $false )
| ( ( member_b @ SV170 @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1223]) ).
thf(1329,plain,
! [SV65: set_b] :
( ( ( ~ ! [SY274: b] :
~ ( member_b @ SY274 @ SV65 ) )
= $true )
| ( ( SV65 = bot_bot_set_b )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1224]) ).
thf(1331,plain,
! [SV168: b,SV120: b > $o,SV68: b > $o] :
( ( ( ! [SY344: b] :
( ~ ( SV68 @ SY344 )
| ( SV120 @ SY344 ) ) )
= $false )
| ( ( SV120 @ ( hilbert_Eps_b @ SV68 ) )
= $true )
| ( ( SV68 @ SV168 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1227]) ).
thf(1332,plain,
! [SV70: set_b] :
( ( ( SV70 = bot_bot_set_b )
= $false )
| ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SY283: b] : ( member_b @ SY283 @ SV70 ) )
@ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1229]) ).
thf(1333,plain,
! [SV70: set_b] :
( ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SY283: b] : ( member_b @ SY283 @ SV70 ) )
@ SV70 )
= $true )
| ( ( SV70 = bot_bot_set_b )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1230]) ).
thf(1335,plain,
! [SV123: set_b,SV72: b,SV164: set_b,SV153: b] :
( ( ( ~ ( member_b @ SV153 @ SV164 ) )
= $false )
| ( ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= ( ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1232]) ).
thf(1336,plain,
! [SV129: b > $o,SV78: b > $o] :
( ( ( SV78 @ ( sK4_SY354 @ SV129 @ SV78 ) )
= $true )
| ( ( SV129 @ ( sK4_SY354 @ SV129 @ SV78 ) )
= $true )
| ( ( ( hilbert_Eps_b @ SV78 )
= ( hilbert_Eps_b @ SV129 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1234]) ).
thf(1337,plain,
! [SV129: b > $o,SV78: b > $o] :
( ( ( ~ ( SV78 @ ( sK4_SY354 @ SV129 @ SV78 ) ) )
= $true )
| ( ( ~ ( SV129 @ ( sK4_SY354 @ SV129 @ SV78 ) ) )
= $true )
| ( ( ( hilbert_Eps_b @ SV78 )
= ( hilbert_Eps_b @ SV129 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1235]) ).
thf(1338,plain,
! [SV157: b > $o,SV130: b > $o,SV79: set_b,SV171: b] :
( ( ( ~ ( member_b @ SV171 @ SV79 )
| ~ ( SV130 @ SV171 ) )
= $true )
| ( ( ~ ! [SY369: b] :
( ~ ~ ( ~ ( member_b @ SY369 @ SV79 )
| ~ ( SV130 @ SY369 ) )
| ( SV157 @ SY369 ) )
| ( SV157
@ ( hilbert_Eps_b
@ ^ [SY358: b] :
~ ( ~ ( member_b @ SY358 @ SV79 )
| ~ ( SV130 @ SY358 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1236]) ).
thf(1339,plain,
! [SV165: set_b,SV132: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV132 @ SV165 )
| ~ ! [SY375: b] :
( ~ ( member_b @ SY375 @ SV132 )
| ( member_b @ SY375 @ SV165 ) ) )
= $false )
| ( ( ord_less_eq_set_b @ SV132 @ SV165 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1237]) ).
thf(1340,plain,
! [SV132: set_b,SV165: set_b] :
( ( ( ~ ( member_b @ ( sK15_SY375 @ SV165 @ SV132 ) @ SV132 )
| ( member_b @ ( sK15_SY375 @ SV165 @ SV132 ) @ SV165 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV132 @ SV165 )
| ~ ! [SY375: b] :
( ~ ( member_b @ SY375 @ SV132 )
| ( member_b @ SY375 @ SV165 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1238]) ).
thf(1342,plain,
! [SV83: b,SV159: b] :
( ( ( ~ ( member_b @ SV159 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV83 @ bot_bot_set_b ) ) ) )
= $false )
| ( ( p @ SV83 @ SV159 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1239]) ).
thf(1343,plain,
! [SV159: b,SV83: b] :
( ( ( ~ ( p @ SV83 @ SV159 ) )
= $false )
| ( ( member_b @ SV159 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV83 @ bot_bot_set_b ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1240]) ).
thf(1345,plain,
! [SV173: b,SV9: b > $o] :
( ( ( SV9 @ SV173 )
= $false )
| ( ( bot_bot_set_b
= ( collect_b @ SV9 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1241]) ).
thf(1346,plain,
! [SV9: b > $o] :
( ( ( bot_bot_set_b
= ( collect_b @ SV9 ) )
= $true )
| ( ( SV9 @ ( sK5_SY206 @ SV9 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1242]) ).
thf(1347,plain,
! [SV9: b > $o] :
( ( ( ! [SY206: b] :
~ ( SV9 @ SY206 ) )
= $true )
| ( ( SV9 @ ( sK5_SY206 @ SV9 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1243]) ).
thf(1348,plain,
! [SV174: b,SV10: b > $o] :
( ( ( SV10 @ SV174 )
= $false )
| ( ( ( collect_b @ SV10 )
= bot_bot_set_b )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1244]) ).
thf(1349,plain,
! [SV10: b > $o] :
( ( ( ( collect_b @ SV10 )
= bot_bot_set_b )
= $true )
| ( ( SV10 @ ( sK6_SY207 @ SV10 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1245]) ).
thf(1350,plain,
! [SV10: b > $o] :
( ( ( ! [SY207: b] :
~ ( SV10 @ SY207 ) )
= $true )
| ( ( SV10 @ ( sK6_SY207 @ SV10 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1246]) ).
thf(1351,plain,
! [SV11: set_b] :
( ( ( ! [SY208: b] :
~ ( member_b @ SY208 @ SV11 ) )
= $true )
| ( ( member_b @ ( sK7_SY208 @ SV11 ) @ SV11 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1247]) ).
thf(1352,plain,
! [SV11: set_b] :
( ( ( SV11 = bot_bot_set_b )
= $true )
| ( ( member_b @ ( sK7_SY208 @ SV11 ) @ SV11 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1248]) ).
thf(1353,plain,
! [SV11: set_b,SV175: b] :
( ( ( member_b @ SV175 @ SV11 )
= $false )
| ( ( SV11 = bot_bot_set_b )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1249]) ).
thf(1355,plain,
! [SV135: set_b,SV86: b,SV14: b] :
( ( ( ( SV14 = SV86 )
| ( member_b @ SV14 @ SV135 ) )
= $true )
| ( ( member_b @ SV14 @ ( insert_b @ SV86 @ SV135 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1251]) ).
thf(1356,plain,
! [SV135: set_b,SV86: b,SV14: b] :
( ( ( ~ ( member_b @ SV14 @ ( insert_b @ SV86 @ SV135 ) ) )
= $false )
| ( ( SV14 = SV86 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1252]) ).
thf(1358,plain,
! [SV135: set_b,SV86: b,SV14: b] :
( ( ( ~ ( member_b @ SV14 @ ( insert_b @ SV86 @ SV135 ) ) )
= $false )
| ( ( member_b @ SV14 @ SV135 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1253]) ).
thf(1361,plain,
! [SV95: b,SV34: set_b] :
( ( ( SV34 = bot_bot_set_b )
= $true )
| ( ( SV34
= ( insert_b @ SV95 @ bot_bot_set_b ) )
= $true )
| ( ( ord_less_eq_set_b @ SV34 @ ( insert_b @ SV95 @ bot_bot_set_b ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1270]) ).
thf(1362,plain,
! [SV95: b,SV34: set_b] :
( ( ( ord_less_eq_set_b @ SV34 @ ( insert_b @ SV95 @ bot_bot_set_b ) )
= $true )
| ( ( SV34 = bot_bot_set_b )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1271]) ).
thf(1364,plain,
! [SV95: b,SV34: set_b] :
( ( ( ord_less_eq_set_b @ SV34 @ ( insert_b @ SV95 @ bot_bot_set_b ) )
= $true )
| ( ( SV34
= ( insert_b @ SV95 @ bot_bot_set_b ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1273]) ).
thf(1371,plain,
! [SV35: $o] :
( ( ( SV35 = $false )
= $true )
| ( $true = $false )
| ( SV35 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1277]) ).
thf(1375,plain,
! [SV35: $o] :
( ( $false = $true )
| ( SV35 = $false )
| ( ( SV35 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1280]) ).
thf(1402,plain,
! [SV41: b,SV97: set_b] :
( ( ( SV97
= ( insert_b @ SV41 @ ( sK8_SY318 @ SV41 @ SV97 ) ) )
= $true )
| ( ( member_b @ SV41 @ SV97 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1299]) ).
thf(1403,plain,
! [SV97: set_b,SV41: b] :
( ( ( ~ ( member_b @ SV41 @ ( sK8_SY318 @ SV41 @ SV97 ) ) )
= $true )
| ( ( member_b @ SV41 @ SV97 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1300]) ).
thf(1405,plain,
! [SV162: set_b,SV101: set_b] :
( ( ( ~ ! [SY373: b] :
( ~ ( member_b @ SY373 @ SV101 )
| ( member_b @ SY373 @ SV162 ) ) )
= $false )
| ( ( ord_less_eq_set_b @ SV101 @ SV162 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1301]) ).
thf(1406,plain,
! [SV101: set_b,SV162: set_b] :
( ( ( ~ ( member_b @ ( sK14_SY373 @ SV162 @ SV101 ) @ SV101 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV101 @ SV162 )
| ~ ! [SY373: b] :
( ~ ( member_b @ SY373 @ SV101 )
| ( member_b @ SY373 @ SV162 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1302]) ).
thf(1407,plain,
! [SV101: set_b,SV162: set_b] :
( ( ( member_b @ ( sK14_SY373 @ SV162 @ SV101 ) @ SV162 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV101 @ SV162 )
| ~ ! [SY373: b] :
( ~ ( member_b @ SY373 @ SV101 )
| ( member_b @ SY373 @ SV162 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1302]) ).
thf(1408,plain,
! [SV141: set_b,SV47: b,SV102: set_b] :
( ( ( ord_less_eq_set_b @ SV102 @ ( insert_b @ SV47 @ SV141 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV102 @ ( insert_b @ SV47 @ SV141 ) )
| ~ ( ord_less_eq_set_b @ SV102 @ SV141 ) ) )
= $true )
| ( ( member_b @ SV47 @ SV102 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1303]) ).
thf(1409,plain,
! [SV47: b,SV141: set_b,SV102: set_b] :
( ( ( ord_less_eq_set_b @ SV102 @ SV141 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV102 @ ( insert_b @ SV47 @ SV141 ) )
| ~ ( ord_less_eq_set_b @ SV102 @ SV141 ) ) )
= $true )
| ( ( member_b @ SV47 @ SV102 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1303]) ).
thf(1410,plain,
! [SV50: set_b] :
( ( ( member_b @ ( sK10_SY244 @ SV50 ) @ SV50 )
= $true )
| ( ( is_singleton_b @ SV50 )
= $true )
| ( ( SV50 = bot_bot_set_b )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1304]) ).
thf(1411,plain,
! [SV50: set_b] :
( ( ( ~ ( member_b @ ( sK12_SY377 @ SV50 ) @ SV50 ) )
= $false )
| ( ( is_singleton_b @ SV50 )
= $true )
| ( ( SV50 = bot_bot_set_b )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1305]) ).
thf(1412,plain,
! [SV50: set_b] :
( ( ( ( sK10_SY244 @ SV50 )
= ( sK12_SY377 @ SV50 ) )
= $false )
| ( ( is_singleton_b @ SV50 )
= $true )
| ( ( SV50 = bot_bot_set_b )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1305]) ).
thf(1413,plain,
! [SV143: b > $o,SV105: b,SV51: b > $o] :
( ( ( SV51 @ ( sK13_SY364 @ SV105 @ SV143 @ SV51 ) )
= $true )
| ( ( SV143 @ ( hilbert_Eps_b @ SV51 ) )
= $true )
| ( ( SV51 @ SV105 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1306]) ).
thf(1415,plain,
! [SV107: set_b,SV145: set_b,SV53: b] :
( ( ( ~ ( ~ ( member_b @ SV53 @ SV145 )
| ~ ( ord_less_eq_set_b @ SV107 @ SV145 ) ) )
= $true )
| ( ( ord_less_eq_set_b @ ( insert_b @ SV53 @ SV107 ) @ SV145 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1309]) ).
thf(1416,plain,
! [SV107: set_b,SV145: set_b,SV53: b] :
( ( ( member_b @ SV53 @ SV145 )
= $false )
| ( ( ~ ( ord_less_eq_set_b @ SV107 @ SV145 ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ ( insert_b @ SV53 @ SV107 ) @ SV145 )
| ~ ~ ( ~ ( member_b @ SV53 @ SV145 )
| ~ ( ord_less_eq_set_b @ SV107 @ SV145 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1310]) ).
thf(1418,plain,
! [SV108: set_b,SV146: b,SV54: b] :
( ( ( ~ ( ( SV54 != SV146 )
| ~ ( ord_less_eq_set_b @ SV108 @ ( insert_b @ SV146 @ bot_bot_set_b ) ) ) )
= $true )
| ( ( ( insert_b @ SV54 @ SV108 )
= ( insert_b @ SV146 @ bot_bot_set_b ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1312]) ).
thf(1419,plain,
! [SV108: set_b,SV146: b,SV54: b] :
( ( ( SV54 = SV146 )
= $false )
| ( ( ~ ( ord_less_eq_set_b @ SV108 @ ( insert_b @ SV146 @ bot_bot_set_b ) ) )
= $true )
| ( ( ~ ( ( ( insert_b @ SV54 @ SV108 )
!= ( insert_b @ SV146 @ bot_bot_set_b ) )
| ~ ~ ( ( SV54 != SV146 )
| ~ ( ord_less_eq_set_b @ SV108 @ ( insert_b @ SV146 @ bot_bot_set_b ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1313]) ).
thf(1420,plain,
! [SV109: set_b] :
( ( ( ! [SY332: b] :
( SV109
!= ( insert_b @ SY332 @ bot_bot_set_b ) ) )
= $false )
| ( ( is_singleton_b @ SV109 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1315]) ).
thf(1421,plain,
! [SV172: b,SV109: set_b] :
( ( ( ~ ( is_singleton_b @ SV109 )
| ~ ~ ! [SY332: b] :
( SV109
!= ( insert_b @ SY332 @ bot_bot_set_b ) ) )
= $false )
| ( ( SV109
= ( insert_b @ SV172 @ bot_bot_set_b ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1316]) ).
thf(1422,plain,
! [SV147: set_b,SV110: set_b,SV56: b] :
( ( ( ~ ( ( ( insert_b @ SV56 @ SV110 )
= ( insert_b @ SV56 @ SV147 ) )
| ( SV110 = SV147 ) )
| ~ ( ( ( insert_b @ SV56 @ SV110 )
!= ( insert_b @ SV56 @ SV147 ) )
| ( SV110 != SV147 ) ) )
= $true )
| ( ( member_b @ SV56 @ SV147 )
= $true )
| ( ( member_b @ SV56 @ SV110 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1317]) ).
thf(1423,plain,
! [SV147: set_b,SV110: set_b,SV56: b] :
( ( ( ( ( insert_b @ SV56 @ SV110 )
= ( insert_b @ SV56 @ SV147 ) )
= ( SV110 = SV147 ) )
= $true )
| ( ( member_b @ SV56 @ SV147 )
= $true )
| ( ( member_b @ SV56 @ SV110 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1317]) ).
thf(1424,plain,
! [SV58: b > $o] :
( ( ( ~ ( SV58 @ ( sK16_SY259 @ SV58 ) ) )
= $false )
| ( ( SV58 @ ( hilbert_Eps_b @ SV58 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1318]) ).
thf(1427,plain,
! [SV163: b,SV148: b,SV112: b,SV59: b] :
( ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
!= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
= $false )
| ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1320]) ).
thf(1428,plain,
! [SV163: b,SV112: b,SV148: b,SV59: b] :
( ( ( ~ ( ~ ( ( SV59 != SV148 )
| ( SV112 != SV163 ) )
| ~ ( ( SV59 != SV163 )
| ( SV112 != SV148 ) ) ) )
= $false )
| ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1320]) ).
thf(1429,plain,
! [SV163: b,SV112: b,SV148: b,SV59: b] :
( ( ( ( SV59 != SV148 )
| ( SV112 != SV163 ) )
= $true )
| ( ( ~ ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
!= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
| ~ ( ~ ( ( SV59 != SV148 )
| ( SV112 != SV163 ) )
| ~ ( ( SV59 != SV163 )
| ( SV112 != SV148 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1321]) ).
thf(1430,plain,
! [SV148: b,SV112: b,SV163: b,SV59: b] :
( ( ( ( SV59 != SV163 )
| ( SV112 != SV148 ) )
= $true )
| ( ( ~ ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
!= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
| ~ ( ~ ( ( SV59 != SV148 )
| ( SV112 != SV163 ) )
| ~ ( ( SV59 != SV163 )
| ( SV112 != SV148 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1322]) ).
thf(1431,plain,
! [SV115: b,SV167: b,SV62: b > $o] :
( ( ( SV62 @ SV167 )
= $false )
| ( ( ~ ! [SY376: b] :
( ~ ( SV62 @ SY376 )
| ( SY376 = SV167 ) ) )
= $true )
| ( ( ~ ( SV62 @ SV115 )
| ( ( hilbert_Eps_b @ SV62 )
= SV115 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1324]) ).
thf(1433,plain,
! [SV151: set_b,SV64: b,SV117: b] :
( ( ( ~ ( ( SV117 != SV64 )
| ~ ( ord_less_eq_set_b @ SV151 @ ( insert_b @ SV64 @ bot_bot_set_b ) ) ) )
= $true )
| ( ( ( insert_b @ SV64 @ bot_bot_set_b )
= ( insert_b @ SV117 @ SV151 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1326]) ).
thf(1434,plain,
! [SV151: set_b,SV64: b,SV117: b] :
( ( ( SV117 = SV64 )
= $false )
| ( ( ~ ( ord_less_eq_set_b @ SV151 @ ( insert_b @ SV64 @ bot_bot_set_b ) ) )
= $true )
| ( ( ~ ( ( ( insert_b @ SV64 @ bot_bot_set_b )
!= ( insert_b @ SV117 @ SV151 ) )
| ~ ~ ( ( SV117 != SV64 )
| ~ ( ord_less_eq_set_b @ SV151 @ ( insert_b @ SV64 @ bot_bot_set_b ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1327]) ).
thf(1435,plain,
! [SV170: b,SV65: set_b] :
( ( ( ~ ~ ! [SY274: b] :
~ ( member_b @ SY274 @ SV65 ) )
= $false )
| ( ( member_b @ SV170 @ SV65 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1328]) ).
thf(1436,plain,
! [SV170: b,SV65: set_b] :
( ( ( ~ ( ( SV65 != bot_bot_set_b ) ) )
= $false )
| ( ( member_b @ SV170 @ SV65 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1328]) ).
thf(1437,plain,
! [SV65: set_b] :
( ( ( ! [SY274: b] :
~ ( member_b @ SY274 @ SV65 ) )
= $false )
| ( ( SV65 = bot_bot_set_b )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1329]) ).
thf(1439,plain,
! [SV120: b > $o,SV168: b,SV68: b > $o] :
( ( ( ~ ( SV68 @ ( sK17_SY344 @ SV168 @ SV120 @ SV68 ) )
| ( SV120 @ ( sK17_SY344 @ SV168 @ SV120 @ SV68 ) ) )
= $false )
| ( ( SV120 @ ( hilbert_Eps_b @ SV68 ) )
= $true )
| ( ( SV68 @ SV168 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1331]) ).
thf(1441,plain,
! [SV123: set_b,SV72: b,SV164: set_b,SV153: b] :
( ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= ( ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1335]) ).
thf(1442,plain,
! [SV129: b > $o,SV78: b > $o] :
( ( ( SV78 @ ( sK4_SY354 @ SV129 @ SV78 ) )
= $false )
| ( ( ~ ( SV129 @ ( sK4_SY354 @ SV129 @ SV78 ) ) )
= $true )
| ( ( ( hilbert_Eps_b @ SV78 )
= ( hilbert_Eps_b @ SV129 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1337]) ).
thf(1443,plain,
! [SV157: b > $o,SV130: b > $o,SV79: set_b,SV171: b] :
( ( ( ~ ( member_b @ SV171 @ SV79 ) )
= $true )
| ( ( ~ ( SV130 @ SV171 ) )
= $true )
| ( ( ~ ! [SY369: b] :
( ~ ~ ( ~ ( member_b @ SY369 @ SV79 )
| ~ ( SV130 @ SY369 ) )
| ( SV157 @ SY369 ) )
| ( SV157
@ ( hilbert_Eps_b
@ ^ [SY358: b] :
~ ( ~ ( member_b @ SY358 @ SV79 )
| ~ ( SV130 @ SY358 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1338]) ).
thf(1445,plain,
! [SV165: set_b,SV132: set_b] :
( ( ( ~ ! [SY375: b] :
( ~ ( member_b @ SY375 @ SV132 )
| ( member_b @ SY375 @ SV165 ) ) )
= $false )
| ( ( ord_less_eq_set_b @ SV132 @ SV165 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1339]) ).
thf(1446,plain,
! [SV132: set_b,SV165: set_b] :
( ( ( ~ ( member_b @ ( sK15_SY375 @ SV165 @ SV132 ) @ SV132 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV132 @ SV165 )
| ~ ! [SY375: b] :
( ~ ( member_b @ SY375 @ SV132 )
| ( member_b @ SY375 @ SV165 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1340]) ).
thf(1447,plain,
! [SV132: set_b,SV165: set_b] :
( ( ( member_b @ ( sK15_SY375 @ SV165 @ SV132 ) @ SV165 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV132 @ SV165 )
| ~ ! [SY375: b] :
( ~ ( member_b @ SY375 @ SV132 )
| ( member_b @ SY375 @ SV165 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1340]) ).
thf(1449,plain,
! [SV83: b,SV159: b] :
( ( ( member_b @ SV159 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV83 @ bot_bot_set_b ) ) )
= $true )
| ( ( p @ SV83 @ SV159 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1342]) ).
thf(1450,plain,
! [SV159: b,SV83: b] :
( ( ( p @ SV83 @ SV159 )
= $true )
| ( ( member_b @ SV159 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV83 @ bot_bot_set_b ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1343]) ).
thf(1452,plain,
! [SV176: b,SV9: b > $o] :
( ( ( ~ ( SV9 @ SV176 ) )
= $true )
| ( ( SV9 @ ( sK5_SY206 @ SV9 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1347]) ).
thf(1453,plain,
! [SV177: b,SV10: b > $o] :
( ( ( ~ ( SV10 @ SV177 ) )
= $true )
| ( ( SV10 @ ( sK6_SY207 @ SV10 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1350]) ).
thf(1454,plain,
! [SV11: set_b,SV178: b] :
( ( ( ~ ( member_b @ SV178 @ SV11 ) )
= $true )
| ( ( member_b @ ( sK7_SY208 @ SV11 ) @ SV11 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1351]) ).
thf(1455,plain,
! [SV135: set_b,SV86: b,SV14: b] :
( ( ( SV14 = SV86 )
= $true )
| ( ( member_b @ SV14 @ SV135 )
= $true )
| ( ( member_b @ SV14 @ ( insert_b @ SV86 @ SV135 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1355]) ).
thf(1456,plain,
! [SV135: set_b,SV86: b,SV14: b] :
( ( ( member_b @ SV14 @ ( insert_b @ SV86 @ SV135 ) )
= $true )
| ( ( SV14 = SV86 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1356]) ).
thf(1458,plain,
! [SV135: set_b,SV86: b,SV14: b] :
( ( ( member_b @ SV14 @ ( insert_b @ SV86 @ SV135 ) )
= $true )
| ( ( member_b @ SV14 @ SV135 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1358]) ).
thf(1474,plain,
! [SV97: set_b,SV41: b] :
( ( ( member_b @ SV41 @ ( sK8_SY318 @ SV41 @ SV97 ) )
= $false )
| ( ( member_b @ SV41 @ SV97 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1403]) ).
thf(1476,plain,
! [SV162: set_b,SV101: set_b] :
( ( ( ! [SY373: b] :
( ~ ( member_b @ SY373 @ SV101 )
| ( member_b @ SY373 @ SV162 ) ) )
= $true )
| ( ( ord_less_eq_set_b @ SV101 @ SV162 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1405]) ).
thf(1477,plain,
! [SV101: set_b,SV162: set_b] :
( ( ( member_b @ ( sK14_SY373 @ SV162 @ SV101 ) @ SV101 )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV101 @ SV162 )
| ~ ! [SY373: b] :
( ~ ( member_b @ SY373 @ SV101 )
| ( member_b @ SY373 @ SV162 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1406]) ).
thf(1478,plain,
! [SV162: set_b,SV101: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV101 @ SV162 )
| ~ ! [SY373: b] :
( ~ ( member_b @ SY373 @ SV101 )
| ( member_b @ SY373 @ SV162 ) ) )
= $false )
| ( ( member_b @ ( sK14_SY373 @ SV162 @ SV101 ) @ SV162 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1407]) ).
thf(1479,plain,
! [SV141: set_b,SV47: b,SV102: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV102 @ ( insert_b @ SV47 @ SV141 ) )
| ~ ( ord_less_eq_set_b @ SV102 @ SV141 ) )
= $false )
| ( ( ord_less_eq_set_b @ SV102 @ ( insert_b @ SV47 @ SV141 ) )
= $false )
| ( ( member_b @ SV47 @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1408]) ).
thf(1480,plain,
! [SV141: set_b,SV47: b,SV102: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV102 @ ( insert_b @ SV47 @ SV141 ) )
| ~ ( ord_less_eq_set_b @ SV102 @ SV141 ) )
= $false )
| ( ( ord_less_eq_set_b @ SV102 @ SV141 )
= $false )
| ( ( member_b @ SV47 @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1409]) ).
thf(1481,plain,
! [SV50: set_b] :
( ( ( member_b @ ( sK12_SY377 @ SV50 ) @ SV50 )
= $true )
| ( ( is_singleton_b @ SV50 )
= $true )
| ( ( SV50 = bot_bot_set_b )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1411]) ).
thf(1482,plain,
! [SV107: set_b,SV145: set_b,SV53: b] :
( ( ( ~ ( member_b @ SV53 @ SV145 )
| ~ ( ord_less_eq_set_b @ SV107 @ SV145 ) )
= $false )
| ( ( ord_less_eq_set_b @ ( insert_b @ SV53 @ SV107 ) @ SV145 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1415]) ).
thf(1483,plain,
! [SV53: b,SV145: set_b,SV107: set_b] :
( ( ( ord_less_eq_set_b @ SV107 @ SV145 )
= $false )
| ( ( member_b @ SV53 @ SV145 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ ( insert_b @ SV53 @ SV107 ) @ SV145 )
| ~ ~ ( ~ ( member_b @ SV53 @ SV145 )
| ~ ( ord_less_eq_set_b @ SV107 @ SV145 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1416]) ).
thf(1484,plain,
! [SV108: set_b,SV146: b,SV54: b] :
( ( ( ( SV54 != SV146 )
| ~ ( ord_less_eq_set_b @ SV108 @ ( insert_b @ SV146 @ bot_bot_set_b ) ) )
= $false )
| ( ( ( insert_b @ SV54 @ SV108 )
= ( insert_b @ SV146 @ bot_bot_set_b ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1418]) ).
thf(1485,plain,
! [SV54: b,SV146: b,SV108: set_b] :
( ( ( ord_less_eq_set_b @ SV108 @ ( insert_b @ SV146 @ bot_bot_set_b ) )
= $false )
| ( ( SV54 = SV146 )
= $false )
| ( ( ~ ( ( ( insert_b @ SV54 @ SV108 )
!= ( insert_b @ SV146 @ bot_bot_set_b ) )
| ~ ~ ( ( SV54 != SV146 )
| ~ ( ord_less_eq_set_b @ SV108 @ ( insert_b @ SV146 @ bot_bot_set_b ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1419]) ).
thf(1486,plain,
! [SV109: set_b] :
( ( ( SV109
!= ( insert_b @ ( sK18_SY332 @ SV109 ) @ bot_bot_set_b ) )
= $false )
| ( ( is_singleton_b @ SV109 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1420]) ).
thf(1487,plain,
! [SV172: b,SV109: set_b] :
( ( ( ~ ( is_singleton_b @ SV109 ) )
= $false )
| ( ( SV109
= ( insert_b @ SV172 @ bot_bot_set_b ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1421]) ).
thf(1488,plain,
! [SV172: b,SV109: set_b] :
( ( ( ~ ~ ! [SY332: b] :
( SV109
!= ( insert_b @ SY332 @ bot_bot_set_b ) ) )
= $false )
| ( ( SV109
= ( insert_b @ SV172 @ bot_bot_set_b ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1421]) ).
thf(1489,plain,
! [SV147: set_b,SV110: set_b,SV56: b] :
( ( ( ~ ( ( ( insert_b @ SV56 @ SV110 )
= ( insert_b @ SV56 @ SV147 ) )
| ( SV110 = SV147 ) ) )
= $true )
| ( ( ~ ( ( ( insert_b @ SV56 @ SV110 )
!= ( insert_b @ SV56 @ SV147 ) )
| ( SV110 != SV147 ) ) )
= $true )
| ( ( member_b @ SV56 @ SV147 )
= $true )
| ( ( member_b @ SV56 @ SV110 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1422]) ).
thf(1490,plain,
! [SV58: b > $o] :
( ( ( SV58 @ ( sK16_SY259 @ SV58 ) )
= $true )
| ( ( SV58 @ ( hilbert_Eps_b @ SV58 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1424]) ).
thf(1493,plain,
! [SV163: b,SV148: b,SV112: b,SV59: b] :
( ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
= $true )
| ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1427]) ).
thf(1494,plain,
! [SV163: b,SV112: b,SV148: b,SV59: b] :
( ( ( ~ ( ( SV59 != SV148 )
| ( SV112 != SV163 ) )
| ~ ( ( SV59 != SV163 )
| ( SV112 != SV148 ) ) )
= $true )
| ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1428]) ).
thf(1495,plain,
! [SV163: b,SV112: b,SV148: b,SV59: b] :
( ( ( SV59 != SV148 )
= $true )
| ( ( SV112 != SV163 )
= $true )
| ( ( ~ ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
!= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
| ~ ( ~ ( ( SV59 != SV148 )
| ( SV112 != SV163 ) )
| ~ ( ( SV59 != SV163 )
| ( SV112 != SV148 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1429]) ).
thf(1496,plain,
! [SV148: b,SV112: b,SV163: b,SV59: b] :
( ( ( SV59 != SV163 )
= $true )
| ( ( SV112 != SV148 )
= $true )
| ( ( ~ ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
!= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
| ~ ( ~ ( ( SV59 != SV148 )
| ( SV112 != SV163 ) )
| ~ ( ( SV59 != SV163 )
| ( SV112 != SV148 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1430]) ).
thf(1497,plain,
! [SV115: b,SV167: b,SV62: b > $o] :
( ( ( ! [SY376: b] :
( ~ ( SV62 @ SY376 )
| ( SY376 = SV167 ) ) )
= $false )
| ( ( SV62 @ SV167 )
= $false )
| ( ( ~ ( SV62 @ SV115 )
| ( ( hilbert_Eps_b @ SV62 )
= SV115 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1431]) ).
thf(1498,plain,
! [SV151: set_b,SV64: b,SV117: b] :
( ( ( ( SV117 != SV64 )
| ~ ( ord_less_eq_set_b @ SV151 @ ( insert_b @ SV64 @ bot_bot_set_b ) ) )
= $false )
| ( ( ( insert_b @ SV64 @ bot_bot_set_b )
= ( insert_b @ SV117 @ SV151 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1433]) ).
thf(1499,plain,
! [SV117: b,SV64: b,SV151: set_b] :
( ( ( ord_less_eq_set_b @ SV151 @ ( insert_b @ SV64 @ bot_bot_set_b ) )
= $false )
| ( ( SV117 = SV64 )
= $false )
| ( ( ~ ( ( ( insert_b @ SV64 @ bot_bot_set_b )
!= ( insert_b @ SV117 @ SV151 ) )
| ~ ~ ( ( SV117 != SV64 )
| ~ ( ord_less_eq_set_b @ SV151 @ ( insert_b @ SV64 @ bot_bot_set_b ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1434]) ).
thf(1500,plain,
! [SV170: b,SV65: set_b] :
( ( ( ~ ! [SY274: b] :
~ ( member_b @ SY274 @ SV65 ) )
= $true )
| ( ( member_b @ SV170 @ SV65 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1435]) ).
thf(1501,plain,
! [SV170: b,SV65: set_b] :
( ( ( SV65 != bot_bot_set_b )
= $true )
| ( ( member_b @ SV170 @ SV65 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1436]) ).
thf(1502,plain,
! [SV65: set_b] :
( ( ( ~ ( member_b @ ( sK19_SY274 @ SV65 ) @ SV65 ) )
= $false )
| ( ( SV65 = bot_bot_set_b )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1437]) ).
thf(1503,plain,
! [SV120: b > $o,SV168: b,SV68: b > $o] :
( ( ( ~ ( SV68 @ ( sK17_SY344 @ SV168 @ SV120 @ SV68 ) ) )
= $false )
| ( ( SV120 @ ( hilbert_Eps_b @ SV68 ) )
= $true )
| ( ( SV68 @ SV168 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1439]) ).
thf(1504,plain,
! [SV68: b > $o,SV168: b,SV120: b > $o] :
( ( ( SV120 @ ( sK17_SY344 @ SV168 @ SV120 @ SV68 ) )
= $false )
| ( ( SV120 @ ( hilbert_Eps_b @ SV68 ) )
= $true )
| ( ( SV68 @ SV168 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1439]) ).
thf(1505,plain,
! [SV164: set_b,SV153: b,SV123: set_b,SV72: b] :
( ( ( ~ ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) )
| ~ ( ( ( insert_b @ SV72 @ SV123 )
!= ( insert_b @ SV153 @ SV164 ) )
| ~ ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1441]) ).
thf(1506,plain,
! [SV164: set_b,SV153: b,SV123: set_b,SV72: b] :
( ( ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= ( ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1441]) ).
thf(1507,plain,
! [SV78: b > $o,SV129: b > $o] :
( ( ( SV129 @ ( sK4_SY354 @ SV129 @ SV78 ) )
= $false )
| ( ( SV78 @ ( sK4_SY354 @ SV129 @ SV78 ) )
= $false )
| ( ( ( hilbert_Eps_b @ SV78 )
= ( hilbert_Eps_b @ SV129 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1442]) ).
thf(1508,plain,
! [SV157: b > $o,SV130: b > $o,SV79: set_b,SV171: b] :
( ( ( member_b @ SV171 @ SV79 )
= $false )
| ( ( ~ ( SV130 @ SV171 ) )
= $true )
| ( ( ~ ! [SY369: b] :
( ~ ~ ( ~ ( member_b @ SY369 @ SV79 )
| ~ ( SV130 @ SY369 ) )
| ( SV157 @ SY369 ) )
| ( SV157
@ ( hilbert_Eps_b
@ ^ [SY358: b] :
~ ( ~ ( member_b @ SY358 @ SV79 )
| ~ ( SV130 @ SY358 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1443]) ).
thf(1510,plain,
! [SV165: set_b,SV132: set_b] :
( ( ( ! [SY375: b] :
( ~ ( member_b @ SY375 @ SV132 )
| ( member_b @ SY375 @ SV165 ) ) )
= $true )
| ( ( ord_less_eq_set_b @ SV132 @ SV165 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1445]) ).
thf(1511,plain,
! [SV132: set_b,SV165: set_b] :
( ( ( member_b @ ( sK15_SY375 @ SV165 @ SV132 ) @ SV132 )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV132 @ SV165 )
| ~ ! [SY375: b] :
( ~ ( member_b @ SY375 @ SV132 )
| ( member_b @ SY375 @ SV165 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1446]) ).
thf(1512,plain,
! [SV165: set_b,SV132: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV132 @ SV165 )
| ~ ! [SY375: b] :
( ~ ( member_b @ SY375 @ SV132 )
| ( member_b @ SY375 @ SV165 ) ) )
= $false )
| ( ( member_b @ ( sK15_SY375 @ SV165 @ SV132 ) @ SV165 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1447]) ).
thf(1513,plain,
! [SV176: b,SV9: b > $o] :
( ( ( SV9 @ SV176 )
= $false )
| ( ( SV9 @ ( sK5_SY206 @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1452]) ).
thf(1514,plain,
! [SV177: b,SV10: b > $o] :
( ( ( SV10 @ SV177 )
= $false )
| ( ( SV10 @ ( sK6_SY207 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1453]) ).
thf(1515,plain,
! [SV11: set_b,SV178: b] :
( ( ( member_b @ SV178 @ SV11 )
= $false )
| ( ( member_b @ ( sK7_SY208 @ SV11 ) @ SV11 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1454]) ).
thf(1530,plain,
! [SV162: set_b,SV101: set_b,SV179: b] :
( ( ( ~ ( member_b @ SV179 @ SV101 )
| ( member_b @ SV179 @ SV162 ) )
= $true )
| ( ( ord_less_eq_set_b @ SV101 @ SV162 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1476]) ).
thf(1531,plain,
! [SV162: set_b,SV101: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV101 @ SV162 )
| ~ ! [SY373: b] :
( ~ ( member_b @ SY373 @ SV101 )
| ( member_b @ SY373 @ SV162 ) ) )
= $false )
| ( ( member_b @ ( sK14_SY373 @ SV162 @ SV101 ) @ SV101 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1477]) ).
thf(1532,plain,
! [SV162: set_b,SV101: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV101 @ SV162 ) )
= $false )
| ( ( member_b @ ( sK14_SY373 @ SV162 @ SV101 ) @ SV162 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1478]) ).
thf(1533,plain,
! [SV162: set_b,SV101: set_b] :
( ( ( ~ ! [SY373: b] :
( ~ ( member_b @ SY373 @ SV101 )
| ( member_b @ SY373 @ SV162 ) ) )
= $false )
| ( ( member_b @ ( sK14_SY373 @ SV162 @ SV101 ) @ SV162 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1478]) ).
thf(1535,plain,
! [SV47: b,SV141: set_b,SV102: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV102 @ SV141 ) )
= $false )
| ( ( ord_less_eq_set_b @ SV102 @ ( insert_b @ SV47 @ SV141 ) )
= $false )
| ( ( member_b @ SV47 @ SV102 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1479]) ).
thf(1536,plain,
! [SV141: set_b,SV47: b,SV102: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV102 @ ( insert_b @ SV47 @ SV141 ) ) )
= $false )
| ( ( ord_less_eq_set_b @ SV102 @ SV141 )
= $false )
| ( ( member_b @ SV47 @ SV102 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1480]) ).
thf(1538,plain,
! [SV107: set_b,SV145: set_b,SV53: b] :
( ( ( ~ ( member_b @ SV53 @ SV145 ) )
= $false )
| ( ( ord_less_eq_set_b @ ( insert_b @ SV53 @ SV107 ) @ SV145 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1482]) ).
thf(1539,plain,
! [SV53: b,SV145: set_b,SV107: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV107 @ SV145 ) )
= $false )
| ( ( ord_less_eq_set_b @ ( insert_b @ SV53 @ SV107 ) @ SV145 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1482]) ).
thf(1540,plain,
! [SV145: set_b,SV107: set_b,SV53: b] :
( ( ( ~ ( ord_less_eq_set_b @ ( insert_b @ SV53 @ SV107 ) @ SV145 )
| ~ ~ ( ~ ( member_b @ SV53 @ SV145 )
| ~ ( ord_less_eq_set_b @ SV107 @ SV145 ) ) )
= $false )
| ( ( member_b @ SV53 @ SV145 )
= $false )
| ( ( ord_less_eq_set_b @ SV107 @ SV145 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1483]) ).
thf(1541,plain,
! [SV108: set_b,SV146: b,SV54: b] :
( ( ( SV54 != SV146 )
= $false )
| ( ( ( insert_b @ SV54 @ SV108 )
= ( insert_b @ SV146 @ bot_bot_set_b ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1484]) ).
thf(1542,plain,
! [SV54: b,SV146: b,SV108: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV108 @ ( insert_b @ SV146 @ bot_bot_set_b ) ) )
= $false )
| ( ( ( insert_b @ SV54 @ SV108 )
= ( insert_b @ SV146 @ bot_bot_set_b ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1484]) ).
thf(1543,plain,
! [SV146: b,SV108: set_b,SV54: b] :
( ( ( ( ( insert_b @ SV54 @ SV108 )
!= ( insert_b @ SV146 @ bot_bot_set_b ) )
| ~ ~ ( ( SV54 != SV146 )
| ~ ( ord_less_eq_set_b @ SV108 @ ( insert_b @ SV146 @ bot_bot_set_b ) ) ) )
= $false )
| ( ( SV54 = SV146 )
= $false )
| ( ( ord_less_eq_set_b @ SV108 @ ( insert_b @ SV146 @ bot_bot_set_b ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1485]) ).
thf(1544,plain,
! [SV109: set_b] :
( ( ( SV109
= ( insert_b @ ( sK18_SY332 @ SV109 ) @ bot_bot_set_b ) )
= $true )
| ( ( is_singleton_b @ SV109 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1486]) ).
thf(1545,plain,
! [SV172: b,SV109: set_b] :
( ( ( is_singleton_b @ SV109 )
= $true )
| ( ( SV109
= ( insert_b @ SV172 @ bot_bot_set_b ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1487]) ).
thf(1546,plain,
! [SV172: b,SV109: set_b] :
( ( ( ~ ! [SY332: b] :
( SV109
!= ( insert_b @ SY332 @ bot_bot_set_b ) ) )
= $true )
| ( ( SV109
= ( insert_b @ SV172 @ bot_bot_set_b ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1488]) ).
thf(1547,plain,
! [SV147: set_b,SV110: set_b,SV56: b] :
( ( ( ( ( insert_b @ SV56 @ SV110 )
= ( insert_b @ SV56 @ SV147 ) )
| ( SV110 = SV147 ) )
= $false )
| ( ( ~ ( ( ( insert_b @ SV56 @ SV110 )
!= ( insert_b @ SV56 @ SV147 ) )
| ( SV110 != SV147 ) ) )
= $true )
| ( ( member_b @ SV56 @ SV147 )
= $true )
| ( ( member_b @ SV56 @ SV110 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1489]) ).
thf(1549,plain,
! [SV163: b,SV112: b,SV148: b,SV59: b] :
( ( ( ~ ( ( SV59 != SV148 )
| ( SV112 != SV163 ) ) )
= $true )
| ( ( ~ ( ( SV59 != SV163 )
| ( SV112 != SV148 ) ) )
= $true )
| ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1494]) ).
thf(1550,plain,
! [SV163: b,SV112: b,SV148: b,SV59: b] :
( ( ( SV59 = SV148 )
= $false )
| ( ( SV112 != SV163 )
= $true )
| ( ( ~ ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
!= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
| ~ ( ~ ( ( SV59 != SV148 )
| ( SV112 != SV163 ) )
| ~ ( ( SV59 != SV163 )
| ( SV112 != SV148 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1495]) ).
thf(1551,plain,
! [SV148: b,SV112: b,SV163: b,SV59: b] :
( ( ( SV59 = SV163 )
= $false )
| ( ( SV112 != SV148 )
= $true )
| ( ( ~ ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
!= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
| ~ ( ~ ( ( SV59 != SV148 )
| ( SV112 != SV163 ) )
| ~ ( ( SV59 != SV163 )
| ( SV112 != SV148 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1496]) ).
thf(1552,plain,
! [SV167: b,SV115: b,SV62: b > $o] :
( ( ( ~ ( SV62 @ ( sK20_SY376 @ SV115 @ SV167 @ SV62 ) )
| ( ( sK20_SY376 @ SV115 @ SV167 @ SV62 )
= SV167 ) )
= $false )
| ( ( SV62 @ SV167 )
= $false )
| ( ( ~ ( SV62 @ SV115 )
| ( ( hilbert_Eps_b @ SV62 )
= SV115 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1497]) ).
thf(1553,plain,
! [SV151: set_b,SV64: b,SV117: b] :
( ( ( SV117 != SV64 )
= $false )
| ( ( ( insert_b @ SV64 @ bot_bot_set_b )
= ( insert_b @ SV117 @ SV151 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1498]) ).
thf(1554,plain,
! [SV117: b,SV64: b,SV151: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV151 @ ( insert_b @ SV64 @ bot_bot_set_b ) ) )
= $false )
| ( ( ( insert_b @ SV64 @ bot_bot_set_b )
= ( insert_b @ SV117 @ SV151 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1498]) ).
thf(1555,plain,
! [SV151: set_b,SV117: b,SV64: b] :
( ( ( ( ( insert_b @ SV64 @ bot_bot_set_b )
!= ( insert_b @ SV117 @ SV151 ) )
| ~ ~ ( ( SV117 != SV64 )
| ~ ( ord_less_eq_set_b @ SV151 @ ( insert_b @ SV64 @ bot_bot_set_b ) ) ) )
= $false )
| ( ( SV117 = SV64 )
= $false )
| ( ( ord_less_eq_set_b @ SV151 @ ( insert_b @ SV64 @ bot_bot_set_b ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1499]) ).
thf(1556,plain,
! [SV170: b,SV65: set_b] :
( ( ( ! [SY274: b] :
~ ( member_b @ SY274 @ SV65 ) )
= $false )
| ( ( member_b @ SV170 @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1500]) ).
thf(1557,plain,
! [SV170: b,SV65: set_b] :
( ( ( SV65 = bot_bot_set_b )
= $false )
| ( ( member_b @ SV170 @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1501]) ).
thf(1558,plain,
! [SV65: set_b] :
( ( ( member_b @ ( sK19_SY274 @ SV65 ) @ SV65 )
= $true )
| ( ( SV65 = bot_bot_set_b )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1502]) ).
thf(1559,plain,
! [SV120: b > $o,SV168: b,SV68: b > $o] :
( ( ( SV68 @ ( sK17_SY344 @ SV168 @ SV120 @ SV68 ) )
= $true )
| ( ( SV120 @ ( hilbert_Eps_b @ SV68 ) )
= $true )
| ( ( SV68 @ SV168 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1503]) ).
thf(1560,plain,
! [SV164: set_b,SV153: b,SV123: set_b,SV72: b] :
( ( ( ~ ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) ) )
= $true )
| ( ( ~ ( ( ( insert_b @ SV72 @ SV123 )
!= ( insert_b @ SV153 @ SV164 ) )
| ~ ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1505]) ).
thf(1561,plain,
! [SV157: b > $o,SV79: set_b,SV171: b,SV130: b > $o] :
( ( ( SV130 @ SV171 )
= $false )
| ( ( member_b @ SV171 @ SV79 )
= $false )
| ( ( ~ ! [SY369: b] :
( ~ ~ ( ~ ( member_b @ SY369 @ SV79 )
| ~ ( SV130 @ SY369 ) )
| ( SV157 @ SY369 ) )
| ( SV157
@ ( hilbert_Eps_b
@ ^ [SY358: b] :
~ ( ~ ( member_b @ SY358 @ SV79 )
| ~ ( SV130 @ SY358 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1508]) ).
thf(1562,plain,
! [SV165: set_b,SV132: set_b,SV180: b] :
( ( ( ~ ( member_b @ SV180 @ SV132 )
| ( member_b @ SV180 @ SV165 ) )
= $true )
| ( ( ord_less_eq_set_b @ SV132 @ SV165 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1510]) ).
thf(1563,plain,
! [SV165: set_b,SV132: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV132 @ SV165 )
| ~ ! [SY375: b] :
( ~ ( member_b @ SY375 @ SV132 )
| ( member_b @ SY375 @ SV165 ) ) )
= $false )
| ( ( member_b @ ( sK15_SY375 @ SV165 @ SV132 ) @ SV132 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1511]) ).
thf(1564,plain,
! [SV165: set_b,SV132: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV132 @ SV165 ) )
= $false )
| ( ( member_b @ ( sK15_SY375 @ SV165 @ SV132 ) @ SV165 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1512]) ).
thf(1565,plain,
! [SV165: set_b,SV132: set_b] :
( ( ( ~ ! [SY375: b] :
( ~ ( member_b @ SY375 @ SV132 )
| ( member_b @ SY375 @ SV165 ) ) )
= $false )
| ( ( member_b @ ( sK15_SY375 @ SV165 @ SV132 ) @ SV165 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1512]) ).
thf(1590,plain,
! [SV162: set_b,SV101: set_b,SV179: b] :
( ( ( ~ ( member_b @ SV179 @ SV101 ) )
= $true )
| ( ( member_b @ SV179 @ SV162 )
= $true )
| ( ( ord_less_eq_set_b @ SV101 @ SV162 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1530]) ).
thf(1591,plain,
! [SV162: set_b,SV101: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV101 @ SV162 ) )
= $false )
| ( ( member_b @ ( sK14_SY373 @ SV162 @ SV101 ) @ SV101 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1531]) ).
thf(1592,plain,
! [SV162: set_b,SV101: set_b] :
( ( ( ~ ! [SY373: b] :
( ~ ( member_b @ SY373 @ SV101 )
| ( member_b @ SY373 @ SV162 ) ) )
= $false )
| ( ( member_b @ ( sK14_SY373 @ SV162 @ SV101 ) @ SV101 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1531]) ).
thf(1593,plain,
! [SV162: set_b,SV101: set_b] :
( ( ( ord_less_eq_set_b @ SV101 @ SV162 )
= $true )
| ( ( member_b @ ( sK14_SY373 @ SV162 @ SV101 ) @ SV162 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1532]) ).
thf(1594,plain,
! [SV162: set_b,SV101: set_b] :
( ( ( ! [SY373: b] :
( ~ ( member_b @ SY373 @ SV101 )
| ( member_b @ SY373 @ SV162 ) ) )
= $true )
| ( ( member_b @ ( sK14_SY373 @ SV162 @ SV101 ) @ SV162 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1533]) ).
thf(1596,plain,
! [SV47: b,SV141: set_b,SV102: set_b] :
( ( ( ord_less_eq_set_b @ SV102 @ SV141 )
= $true )
| ( ( ord_less_eq_set_b @ SV102 @ ( insert_b @ SV47 @ SV141 ) )
= $false )
| ( ( member_b @ SV47 @ SV102 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1535]) ).
thf(1597,plain,
! [SV141: set_b,SV47: b,SV102: set_b] :
( ( ( ord_less_eq_set_b @ SV102 @ ( insert_b @ SV47 @ SV141 ) )
= $true )
| ( ( ord_less_eq_set_b @ SV102 @ SV141 )
= $false )
| ( ( member_b @ SV47 @ SV102 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1536]) ).
thf(1599,plain,
! [SV107: set_b,SV145: set_b,SV53: b] :
( ( ( member_b @ SV53 @ SV145 )
= $true )
| ( ( ord_less_eq_set_b @ ( insert_b @ SV53 @ SV107 ) @ SV145 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1538]) ).
thf(1600,plain,
! [SV53: b,SV145: set_b,SV107: set_b] :
( ( ( ord_less_eq_set_b @ SV107 @ SV145 )
= $true )
| ( ( ord_less_eq_set_b @ ( insert_b @ SV53 @ SV107 ) @ SV145 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1539]) ).
thf(1601,plain,
! [SV145: set_b,SV107: set_b,SV53: b] :
( ( ( ~ ( ord_less_eq_set_b @ ( insert_b @ SV53 @ SV107 ) @ SV145 ) )
= $false )
| ( ( member_b @ SV53 @ SV145 )
= $false )
| ( ( ord_less_eq_set_b @ SV107 @ SV145 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1540]) ).
thf(1603,plain,
! [SV108: set_b,SV146: b,SV54: b] :
( ( ( SV54 = SV146 )
= $true )
| ( ( ( insert_b @ SV54 @ SV108 )
= ( insert_b @ SV146 @ bot_bot_set_b ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1541]) ).
thf(1604,plain,
! [SV54: b,SV146: b,SV108: set_b] :
( ( ( ord_less_eq_set_b @ SV108 @ ( insert_b @ SV146 @ bot_bot_set_b ) )
= $true )
| ( ( ( insert_b @ SV54 @ SV108 )
= ( insert_b @ SV146 @ bot_bot_set_b ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1542]) ).
thf(1605,plain,
! [SV146: b,SV108: set_b,SV54: b] :
( ( ( ( insert_b @ SV54 @ SV108 )
!= ( insert_b @ SV146 @ bot_bot_set_b ) )
= $false )
| ( ( SV54 = SV146 )
= $false )
| ( ( ord_less_eq_set_b @ SV108 @ ( insert_b @ SV146 @ bot_bot_set_b ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1543]) ).
thf(1607,plain,
! [SV172: b,SV109: set_b] :
( ( ( ! [SY332: b] :
( SV109
!= ( insert_b @ SY332 @ bot_bot_set_b ) ) )
= $false )
| ( ( SV109
= ( insert_b @ SV172 @ bot_bot_set_b ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1546]) ).
thf(1608,plain,
! [SV147: set_b,SV110: set_b,SV56: b] :
( ( ( ( insert_b @ SV56 @ SV110 )
= ( insert_b @ SV56 @ SV147 ) )
= $false )
| ( ( ~ ( ( ( insert_b @ SV56 @ SV110 )
!= ( insert_b @ SV56 @ SV147 ) )
| ( SV110 != SV147 ) ) )
= $true )
| ( ( member_b @ SV56 @ SV147 )
= $true )
| ( ( member_b @ SV56 @ SV110 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1547]) ).
thf(1609,plain,
! [SV56: b,SV147: set_b,SV110: set_b] :
( ( ( SV110 = SV147 )
= $false )
| ( ( ~ ( ( ( insert_b @ SV56 @ SV110 )
!= ( insert_b @ SV56 @ SV147 ) )
| ( SV110 != SV147 ) ) )
= $true )
| ( ( member_b @ SV56 @ SV147 )
= $true )
| ( ( member_b @ SV56 @ SV110 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1547]) ).
thf(1611,plain,
! [SV163: b,SV112: b,SV148: b,SV59: b] :
( ( ( ( SV59 != SV148 )
| ( SV112 != SV163 ) )
= $false )
| ( ( ~ ( ( SV59 != SV163 )
| ( SV112 != SV148 ) ) )
= $true )
| ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1549]) ).
thf(1612,plain,
! [SV148: b,SV59: b,SV163: b,SV112: b] :
( ( ( SV112 = SV163 )
= $false )
| ( ( SV59 = SV148 )
= $false )
| ( ( ~ ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
!= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
| ~ ( ~ ( ( SV59 != SV148 )
| ( SV112 != SV163 ) )
| ~ ( ( SV59 != SV163 )
| ( SV112 != SV148 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1550]) ).
thf(1613,plain,
! [SV163: b,SV59: b,SV148: b,SV112: b] :
( ( ( SV112 = SV148 )
= $false )
| ( ( SV59 = SV163 )
= $false )
| ( ( ~ ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
!= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
| ~ ( ~ ( ( SV59 != SV148 )
| ( SV112 != SV163 ) )
| ~ ( ( SV59 != SV163 )
| ( SV112 != SV148 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1551]) ).
thf(1614,plain,
! [SV167: b,SV115: b,SV62: b > $o] :
( ( ( ~ ( SV62 @ ( sK20_SY376 @ SV115 @ SV167 @ SV62 ) ) )
= $false )
| ( ( SV62 @ SV167 )
= $false )
| ( ( ~ ( SV62 @ SV115 )
| ( ( hilbert_Eps_b @ SV62 )
= SV115 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1552]) ).
thf(1615,plain,
! [SV62: b > $o,SV167: b,SV115: b] :
( ( ( ( sK20_SY376 @ SV115 @ SV167 @ SV62 )
= SV167 )
= $false )
| ( ( SV62 @ SV167 )
= $false )
| ( ( ~ ( SV62 @ SV115 )
| ( ( hilbert_Eps_b @ SV62 )
= SV115 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1552]) ).
thf(1616,plain,
! [SV151: set_b,SV64: b,SV117: b] :
( ( ( SV117 = SV64 )
= $true )
| ( ( ( insert_b @ SV64 @ bot_bot_set_b )
= ( insert_b @ SV117 @ SV151 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1553]) ).
thf(1617,plain,
! [SV117: b,SV64: b,SV151: set_b] :
( ( ( ord_less_eq_set_b @ SV151 @ ( insert_b @ SV64 @ bot_bot_set_b ) )
= $true )
| ( ( ( insert_b @ SV64 @ bot_bot_set_b )
= ( insert_b @ SV117 @ SV151 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1554]) ).
thf(1618,plain,
! [SV151: set_b,SV117: b,SV64: b] :
( ( ( ( insert_b @ SV64 @ bot_bot_set_b )
!= ( insert_b @ SV117 @ SV151 ) )
= $false )
| ( ( SV117 = SV64 )
= $false )
| ( ( ord_less_eq_set_b @ SV151 @ ( insert_b @ SV64 @ bot_bot_set_b ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1555]) ).
thf(1620,plain,
! [SV65: set_b,SV170: b] :
( ( ( ~ ( member_b @ ( sK22_SY274 @ SV170 @ SV65 ) @ SV65 ) )
= $false )
| ( ( member_b @ SV170 @ SV65 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1556]) ).
thf(1621,plain,
! [SV164: set_b,SV153: b,SV123: set_b,SV72: b] :
( ( ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) )
= $false )
| ( ( ~ ( ( ( insert_b @ SV72 @ SV123 )
!= ( insert_b @ SV153 @ SV164 ) )
| ~ ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1560]) ).
thf(1622,plain,
! [SV171: b,SV157: b > $o,SV130: b > $o,SV79: set_b] :
( ( ( ~ ! [SY369: b] :
( ~ ~ ( ~ ( member_b @ SY369 @ SV79 )
| ~ ( SV130 @ SY369 ) )
| ( SV157 @ SY369 ) ) )
= $true )
| ( ( SV157
@ ( hilbert_Eps_b
@ ^ [SY358: b] :
~ ( ~ ( member_b @ SY358 @ SV79 )
| ~ ( SV130 @ SY358 ) ) ) )
= $true )
| ( ( member_b @ SV171 @ SV79 )
= $false )
| ( ( SV130 @ SV171 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1561]) ).
thf(1623,plain,
! [SV165: set_b,SV132: set_b,SV180: b] :
( ( ( ~ ( member_b @ SV180 @ SV132 ) )
= $true )
| ( ( member_b @ SV180 @ SV165 )
= $true )
| ( ( ord_less_eq_set_b @ SV132 @ SV165 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1562]) ).
thf(1624,plain,
! [SV165: set_b,SV132: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV132 @ SV165 ) )
= $false )
| ( ( member_b @ ( sK15_SY375 @ SV165 @ SV132 ) @ SV132 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1563]) ).
thf(1625,plain,
! [SV165: set_b,SV132: set_b] :
( ( ( ~ ! [SY375: b] :
( ~ ( member_b @ SY375 @ SV132 )
| ( member_b @ SY375 @ SV165 ) ) )
= $false )
| ( ( member_b @ ( sK15_SY375 @ SV165 @ SV132 ) @ SV132 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1563]) ).
thf(1626,plain,
! [SV165: set_b,SV132: set_b] :
( ( ( ord_less_eq_set_b @ SV132 @ SV165 )
= $true )
| ( ( member_b @ ( sK15_SY375 @ SV165 @ SV132 ) @ SV165 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1564]) ).
thf(1627,plain,
! [SV165: set_b,SV132: set_b] :
( ( ( ! [SY375: b] :
( ~ ( member_b @ SY375 @ SV132 )
| ( member_b @ SY375 @ SV165 ) ) )
= $true )
| ( ( member_b @ ( sK15_SY375 @ SV165 @ SV132 ) @ SV165 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1565]) ).
thf(1652,plain,
! [SV162: set_b,SV101: set_b,SV179: b] :
( ( ( member_b @ SV179 @ SV101 )
= $false )
| ( ( member_b @ SV179 @ SV162 )
= $true )
| ( ( ord_less_eq_set_b @ SV101 @ SV162 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1590]) ).
thf(1653,plain,
! [SV162: set_b,SV101: set_b] :
( ( ( ord_less_eq_set_b @ SV101 @ SV162 )
= $true )
| ( ( member_b @ ( sK14_SY373 @ SV162 @ SV101 ) @ SV101 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1591]) ).
thf(1654,plain,
! [SV162: set_b,SV101: set_b] :
( ( ( ! [SY373: b] :
( ~ ( member_b @ SY373 @ SV101 )
| ( member_b @ SY373 @ SV162 ) ) )
= $true )
| ( ( member_b @ ( sK14_SY373 @ SV162 @ SV101 ) @ SV101 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1592]) ).
thf(1655,plain,
! [SV162: set_b,SV101: set_b,SV181: b] :
( ( ( ~ ( member_b @ SV181 @ SV101 )
| ( member_b @ SV181 @ SV162 ) )
= $true )
| ( ( member_b @ ( sK14_SY373 @ SV162 @ SV101 ) @ SV162 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1594]) ).
thf(1656,plain,
! [SV145: set_b,SV107: set_b,SV53: b] :
( ( ( ord_less_eq_set_b @ ( insert_b @ SV53 @ SV107 ) @ SV145 )
= $true )
| ( ( member_b @ SV53 @ SV145 )
= $false )
| ( ( ord_less_eq_set_b @ SV107 @ SV145 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1601]) ).
thf(1658,plain,
! [SV146: b,SV108: set_b,SV54: b] :
( ( ( ( insert_b @ SV54 @ SV108 )
= ( insert_b @ SV146 @ bot_bot_set_b ) )
= $true )
| ( ( SV54 = SV146 )
= $false )
| ( ( ord_less_eq_set_b @ SV108 @ ( insert_b @ SV146 @ bot_bot_set_b ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1605]) ).
thf(1660,plain,
! [SV172: b,SV109: set_b] :
( ( ( SV109
!= ( insert_b @ ( sK23_SY332 @ SV172 @ SV109 ) @ bot_bot_set_b ) )
= $false )
| ( ( SV109
= ( insert_b @ SV172 @ bot_bot_set_b ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1607]) ).
thf(1661,plain,
! [SV147: set_b,SV110: set_b,SV56: b] :
( ( ( ( ( insert_b @ SV56 @ SV110 )
!= ( insert_b @ SV56 @ SV147 ) )
| ( SV110 != SV147 ) )
= $false )
| ( ( ( insert_b @ SV56 @ SV110 )
= ( insert_b @ SV56 @ SV147 ) )
= $false )
| ( ( member_b @ SV56 @ SV147 )
= $true )
| ( ( member_b @ SV56 @ SV110 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1608]) ).
thf(1662,plain,
! [SV147: set_b,SV110: set_b,SV56: b] :
( ( ( ( ( insert_b @ SV56 @ SV110 )
!= ( insert_b @ SV56 @ SV147 ) )
| ( SV110 != SV147 ) )
= $false )
| ( ( SV110 = SV147 )
= $false )
| ( ( member_b @ SV56 @ SV147 )
= $true )
| ( ( member_b @ SV56 @ SV110 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1609]) ).
thf(1664,plain,
! [SV112: b,SV163: b,SV148: b,SV59: b] :
( ( ( SV59 != SV148 )
= $false )
| ( ( ~ ( ( SV59 != SV163 )
| ( SV112 != SV148 ) ) )
= $true )
| ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1611]) ).
thf(1665,plain,
! [SV148: b,SV59: b,SV163: b,SV112: b] :
( ( ( SV112 != SV163 )
= $false )
| ( ( ~ ( ( SV59 != SV163 )
| ( SV112 != SV148 ) ) )
= $true )
| ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1611]) ).
thf(1666,plain,
! [SV163: b,SV148: b,SV112: b,SV59: b] :
( ( ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
!= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
| ~ ( ~ ( ( SV59 != SV148 )
| ( SV112 != SV163 ) )
| ~ ( ( SV59 != SV163 )
| ( SV112 != SV148 ) ) ) )
= $false )
| ( ( SV59 = SV148 )
= $false )
| ( ( SV112 = SV163 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1612]) ).
thf(1667,plain,
! [SV163: b,SV148: b,SV112: b,SV59: b] :
( ( ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
!= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
| ~ ( ~ ( ( SV59 != SV148 )
| ( SV112 != SV163 ) )
| ~ ( ( SV59 != SV163 )
| ( SV112 != SV148 ) ) ) )
= $false )
| ( ( SV59 = SV163 )
= $false )
| ( ( SV112 = SV148 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1613]) ).
thf(1668,plain,
! [SV167: b,SV115: b,SV62: b > $o] :
( ( ( SV62 @ ( sK20_SY376 @ SV115 @ SV167 @ SV62 ) )
= $true )
| ( ( SV62 @ SV167 )
= $false )
| ( ( ~ ( SV62 @ SV115 )
| ( ( hilbert_Eps_b @ SV62 )
= SV115 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1614]) ).
thf(1669,plain,
! [SV167: b,SV115: b,SV62: b > $o] :
( ( ( ~ ( SV62 @ SV115 ) )
= $true )
| ( ( ( hilbert_Eps_b @ SV62 )
= SV115 )
= $true )
| ( ( SV62 @ SV167 )
= $false )
| ( ( ( sK20_SY376 @ SV115 @ SV167 @ SV62 )
= SV167 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1615]) ).
thf(1670,plain,
! [SV151: set_b,SV117: b,SV64: b] :
( ( ( ( insert_b @ SV64 @ bot_bot_set_b )
= ( insert_b @ SV117 @ SV151 ) )
= $true )
| ( ( SV117 = SV64 )
= $false )
| ( ( ord_less_eq_set_b @ SV151 @ ( insert_b @ SV64 @ bot_bot_set_b ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1618]) ).
thf(1672,plain,
! [SV65: set_b,SV170: b] :
( ( ( member_b @ ( sK22_SY274 @ SV170 @ SV65 ) @ SV65 )
= $true )
| ( ( member_b @ SV170 @ SV65 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1620]) ).
thf(1673,plain,
! [SV164: set_b,SV153: b,SV123: set_b,SV72: b] :
( ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $false )
| ( ( ~ ( ( ( insert_b @ SV72 @ SV123 )
!= ( insert_b @ SV153 @ SV164 ) )
| ~ ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1621]) ).
thf(1674,plain,
! [SV164: set_b,SV123: set_b,SV153: b,SV72: b] :
( ( ( ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) )
= $false )
| ( ( ~ ( ( ( insert_b @ SV72 @ SV123 )
!= ( insert_b @ SV153 @ SV164 ) )
| ~ ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1621]) ).
thf(1675,plain,
! [SV171: b,SV157: b > $o,SV130: b > $o,SV79: set_b] :
( ( ( ! [SY369: b] :
( ~ ~ ( ~ ( member_b @ SY369 @ SV79 )
| ~ ( SV130 @ SY369 ) )
| ( SV157 @ SY369 ) ) )
= $false )
| ( ( SV157
@ ( hilbert_Eps_b
@ ^ [SY358: b] :
~ ( ~ ( member_b @ SY358 @ SV79 )
| ~ ( SV130 @ SY358 ) ) ) )
= $true )
| ( ( member_b @ SV171 @ SV79 )
= $false )
| ( ( SV130 @ SV171 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1622]) ).
thf(1676,plain,
! [SV165: set_b,SV132: set_b,SV180: b] :
( ( ( member_b @ SV180 @ SV132 )
= $false )
| ( ( member_b @ SV180 @ SV165 )
= $true )
| ( ( ord_less_eq_set_b @ SV132 @ SV165 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1623]) ).
thf(1677,plain,
! [SV165: set_b,SV132: set_b] :
( ( ( ord_less_eq_set_b @ SV132 @ SV165 )
= $true )
| ( ( member_b @ ( sK15_SY375 @ SV165 @ SV132 ) @ SV132 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1624]) ).
thf(1678,plain,
! [SV165: set_b,SV132: set_b] :
( ( ( ! [SY375: b] :
( ~ ( member_b @ SY375 @ SV132 )
| ( member_b @ SY375 @ SV165 ) ) )
= $true )
| ( ( member_b @ ( sK15_SY375 @ SV165 @ SV132 ) @ SV132 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1625]) ).
thf(1679,plain,
! [SV165: set_b,SV132: set_b,SV182: b] :
( ( ( ~ ( member_b @ SV182 @ SV132 )
| ( member_b @ SV182 @ SV165 ) )
= $true )
| ( ( member_b @ ( sK15_SY375 @ SV165 @ SV132 ) @ SV165 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1627]) ).
thf(1728,plain,
! [SV162: set_b,SV101: set_b,SV183: b] :
( ( ( ~ ( member_b @ SV183 @ SV101 )
| ( member_b @ SV183 @ SV162 ) )
= $true )
| ( ( member_b @ ( sK14_SY373 @ SV162 @ SV101 ) @ SV101 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1654]) ).
thf(1729,plain,
! [SV162: set_b,SV101: set_b,SV181: b] :
( ( ( ~ ( member_b @ SV181 @ SV101 ) )
= $true )
| ( ( member_b @ SV181 @ SV162 )
= $true )
| ( ( member_b @ ( sK14_SY373 @ SV162 @ SV101 ) @ SV162 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1655]) ).
thf(1732,plain,
! [SV172: b,SV109: set_b] :
( ( ( SV109
= ( insert_b @ ( sK23_SY332 @ SV172 @ SV109 ) @ bot_bot_set_b ) )
= $true )
| ( ( SV109
= ( insert_b @ SV172 @ bot_bot_set_b ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1660]) ).
thf(1734,plain,
! [SV56: b,SV147: set_b,SV110: set_b] :
( ( ( SV110 != SV147 )
= $false )
| ( ( ( insert_b @ SV56 @ SV110 )
= ( insert_b @ SV56 @ SV147 ) )
= $false )
| ( ( member_b @ SV56 @ SV147 )
= $true )
| ( ( member_b @ SV56 @ SV110 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1661]) ).
thf(1735,plain,
! [SV147: set_b,SV110: set_b,SV56: b] :
( ( ( ( insert_b @ SV56 @ SV110 )
!= ( insert_b @ SV56 @ SV147 ) )
= $false )
| ( ( SV110 = SV147 )
= $false )
| ( ( member_b @ SV56 @ SV147 )
= $true )
| ( ( member_b @ SV56 @ SV110 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1662]) ).
thf(1737,plain,
! [SV112: b,SV163: b,SV148: b,SV59: b] :
( ( ( SV59 = SV148 )
= $true )
| ( ( ~ ( ( SV59 != SV163 )
| ( SV112 != SV148 ) ) )
= $true )
| ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1664]) ).
thf(1738,plain,
! [SV148: b,SV59: b,SV163: b,SV112: b] :
( ( ( SV112 = SV163 )
= $true )
| ( ( ~ ( ( SV59 != SV163 )
| ( SV112 != SV148 ) ) )
= $true )
| ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1665]) ).
thf(1739,plain,
! [SV163: b,SV148: b,SV112: b,SV59: b] :
( ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
!= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
= $false )
| ( ( SV59 = SV148 )
= $false )
| ( ( SV112 = SV163 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1666]) ).
thf(1741,plain,
! [SV163: b,SV148: b,SV112: b,SV59: b] :
( ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
!= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
= $false )
| ( ( SV59 = SV163 )
= $false )
| ( ( SV112 = SV148 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1667]) ).
thf(1743,plain,
! [SV167: b,SV115: b,SV62: b > $o] :
( ( ( ~ ( SV62 @ SV115 ) )
= $true )
| ( ( ( hilbert_Eps_b @ SV62 )
= SV115 )
= $true )
| ( ( SV62 @ SV167 )
= $false )
| ( ( SV62 @ ( sK20_SY376 @ SV115 @ SV167 @ SV62 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1668]) ).
thf(1744,plain,
! [SV167: b,SV115: b,SV62: b > $o] :
( ( ( SV62 @ SV115 )
= $false )
| ( ( ( hilbert_Eps_b @ SV62 )
= SV115 )
= $true )
| ( ( SV62 @ SV167 )
= $false )
| ( ( ( sK20_SY376 @ SV115 @ SV167 @ SV62 )
= SV167 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1669]) ).
thf(1746,plain,
! [SV164: set_b,SV153: b,SV123: set_b,SV72: b] :
( ( ( ( ( insert_b @ SV72 @ SV123 )
!= ( insert_b @ SV153 @ SV164 ) )
| ~ ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) )
= $false )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $false )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1673]) ).
thf(1747,plain,
! [SV164: set_b,SV123: set_b,SV153: b,SV72: b] :
( ( ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) )
= $true )
| ( ( ~ ( ( ( insert_b @ SV72 @ SV123 )
!= ( insert_b @ SV153 @ SV164 ) )
| ~ ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1674]) ).
thf(1748,plain,
! [SV79: set_b,SV130: b > $o,SV157: b > $o,SV171: b] :
( ( ( ~ ~ ( ~ ( member_b @ ( sK24_SY369 @ SV171 @ SV157 @ SV130 @ SV79 ) @ SV79 )
| ~ ( SV130 @ ( sK24_SY369 @ SV171 @ SV157 @ SV130 @ SV79 ) ) )
| ( SV157 @ ( sK24_SY369 @ SV171 @ SV157 @ SV130 @ SV79 ) ) )
= $false )
| ( ( SV157
@ ( hilbert_Eps_b
@ ^ [SY358: b] :
~ ( ~ ( member_b @ SY358 @ SV79 )
| ~ ( SV130 @ SY358 ) ) ) )
= $true )
| ( ( member_b @ SV171 @ SV79 )
= $false )
| ( ( SV130 @ SV171 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1675]) ).
thf(1749,plain,
! [SV165: set_b,SV132: set_b,SV184: b] :
( ( ( ~ ( member_b @ SV184 @ SV132 )
| ( member_b @ SV184 @ SV165 ) )
= $true )
| ( ( member_b @ ( sK15_SY375 @ SV165 @ SV132 ) @ SV132 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1678]) ).
thf(1750,plain,
! [SV165: set_b,SV132: set_b,SV182: b] :
( ( ( ~ ( member_b @ SV182 @ SV132 ) )
= $true )
| ( ( member_b @ SV182 @ SV165 )
= $true )
| ( ( member_b @ ( sK15_SY375 @ SV165 @ SV132 ) @ SV165 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1679]) ).
thf(1799,plain,
! [SV162: set_b,SV101: set_b,SV183: b] :
( ( ( ~ ( member_b @ SV183 @ SV101 ) )
= $true )
| ( ( member_b @ SV183 @ SV162 )
= $true )
| ( ( member_b @ ( sK14_SY373 @ SV162 @ SV101 ) @ SV101 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1728]) ).
thf(1800,plain,
! [SV162: set_b,SV101: set_b,SV181: b] :
( ( ( member_b @ SV181 @ SV101 )
= $false )
| ( ( member_b @ SV181 @ SV162 )
= $true )
| ( ( member_b @ ( sK14_SY373 @ SV162 @ SV101 ) @ SV162 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1729]) ).
thf(1806,plain,
! [SV56: b,SV147: set_b,SV110: set_b] :
( ( ( SV110 = SV147 )
= $true )
| ( ( ( insert_b @ SV56 @ SV110 )
= ( insert_b @ SV56 @ SV147 ) )
= $false )
| ( ( member_b @ SV56 @ SV147 )
= $true )
| ( ( member_b @ SV56 @ SV110 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1734]) ).
thf(1807,plain,
! [SV147: set_b,SV110: set_b,SV56: b] :
( ( ( ( insert_b @ SV56 @ SV110 )
= ( insert_b @ SV56 @ SV147 ) )
= $true )
| ( ( SV110 = SV147 )
= $false )
| ( ( member_b @ SV56 @ SV147 )
= $true )
| ( ( member_b @ SV56 @ SV110 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1735]) ).
thf(1809,plain,
! [SV148: b,SV112: b,SV163: b,SV59: b] :
( ( ( ( SV59 != SV163 )
| ( SV112 != SV148 ) )
= $false )
| ( ( SV59 = SV148 )
= $true )
| ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1737]) ).
thf(1810,plain,
! [SV148: b,SV112: b,SV163: b,SV59: b] :
( ( ( ( SV59 != SV163 )
| ( SV112 != SV148 ) )
= $false )
| ( ( SV112 = SV163 )
= $true )
| ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1738]) ).
thf(1811,plain,
! [SV163: b,SV148: b,SV112: b,SV59: b] :
( ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
= $true )
| ( ( SV59 = SV148 )
= $false )
| ( ( SV112 = SV163 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1739]) ).
thf(1813,plain,
! [SV163: b,SV148: b,SV112: b,SV59: b] :
( ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
= $true )
| ( ( SV59 = SV163 )
= $false )
| ( ( SV112 = SV148 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1741]) ).
thf(1815,plain,
! [SV167: b,SV115: b,SV62: b > $o] :
( ( ( SV62 @ SV115 )
= $false )
| ( ( ( hilbert_Eps_b @ SV62 )
= SV115 )
= $true )
| ( ( SV62 @ SV167 )
= $false )
| ( ( SV62 @ ( sK20_SY376 @ SV115 @ SV167 @ SV62 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1743]) ).
thf(1819,plain,
! [SV164: set_b,SV123: set_b,SV153: b,SV72: b] :
( ( ( ~ ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) )
= $false )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $false )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1746]) ).
thf(1820,plain,
! [SV164: set_b,SV123: set_b,SV153: b,SV72: b] :
( ( ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) ) )
= $true )
| ( ( ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) )
= $true )
| ( ( ~ ( ( ( insert_b @ SV72 @ SV123 )
!= ( insert_b @ SV153 @ SV164 ) )
| ~ ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1747]) ).
thf(1821,plain,
! [SV79: set_b,SV130: b > $o,SV157: b > $o,SV171: b] :
( ( ( ~ ~ ( ~ ( member_b @ ( sK24_SY369 @ SV171 @ SV157 @ SV130 @ SV79 ) @ SV79 )
| ~ ( SV130 @ ( sK24_SY369 @ SV171 @ SV157 @ SV130 @ SV79 ) ) ) )
= $false )
| ( ( SV157
@ ( hilbert_Eps_b
@ ^ [SY358: b] :
~ ( ~ ( member_b @ SY358 @ SV79 )
| ~ ( SV130 @ SY358 ) ) ) )
= $true )
| ( ( member_b @ SV171 @ SV79 )
= $false )
| ( ( SV130 @ SV171 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1748]) ).
thf(1822,plain,
! [SV79: set_b,SV130: b > $o,SV171: b,SV157: b > $o] :
( ( ( SV157 @ ( sK24_SY369 @ SV171 @ SV157 @ SV130 @ SV79 ) )
= $false )
| ( ( SV157
@ ( hilbert_Eps_b
@ ^ [SY358: b] :
~ ( ~ ( member_b @ SY358 @ SV79 )
| ~ ( SV130 @ SY358 ) ) ) )
= $true )
| ( ( member_b @ SV171 @ SV79 )
= $false )
| ( ( SV130 @ SV171 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1748]) ).
thf(1823,plain,
! [SV165: set_b,SV132: set_b,SV184: b] :
( ( ( ~ ( member_b @ SV184 @ SV132 ) )
= $true )
| ( ( member_b @ SV184 @ SV165 )
= $true )
| ( ( member_b @ ( sK15_SY375 @ SV165 @ SV132 ) @ SV132 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1749]) ).
thf(1824,plain,
! [SV165: set_b,SV132: set_b,SV182: b] :
( ( ( member_b @ SV182 @ SV132 )
= $false )
| ( ( member_b @ SV182 @ SV165 )
= $true )
| ( ( member_b @ ( sK15_SY375 @ SV165 @ SV132 ) @ SV165 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1750]) ).
thf(1825,plain,
! [SV162: set_b,SV101: set_b,SV183: b] :
( ( ( member_b @ SV183 @ SV101 )
= $false )
| ( ( member_b @ SV183 @ SV162 )
= $true )
| ( ( member_b @ ( sK14_SY373 @ SV162 @ SV101 ) @ SV101 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1799]) ).
thf(1830,plain,
! [SV112: b,SV148: b,SV163: b,SV59: b] :
( ( ( SV59 != SV163 )
= $false )
| ( ( SV59 = SV148 )
= $true )
| ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1809]) ).
thf(1831,plain,
! [SV163: b,SV59: b,SV148: b,SV112: b] :
( ( ( SV112 != SV148 )
= $false )
| ( ( SV59 = SV148 )
= $true )
| ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1809]) ).
thf(1832,plain,
! [SV148: b,SV112: b,SV163: b,SV59: b] :
( ( ( SV59 != SV163 )
= $false )
| ( ( SV112 = SV163 )
= $true )
| ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1810]) ).
thf(1833,plain,
! [SV59: b,SV163: b,SV148: b,SV112: b] :
( ( ( SV112 != SV148 )
= $false )
| ( ( SV112 = SV163 )
= $true )
| ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1810]) ).
thf(1839,plain,
! [SV164: set_b,SV123: set_b,SV153: b,SV72: b] :
( ( ( ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) )
= $true )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $false )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1819]) ).
thf(1840,plain,
! [SV164: set_b,SV123: set_b,SV153: b,SV72: b] :
( ( ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
= $false )
| ( ( ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) )
= $true )
| ( ( ~ ( ( ( insert_b @ SV72 @ SV123 )
!= ( insert_b @ SV153 @ SV164 ) )
| ~ ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1820]) ).
thf(1841,plain,
! [SV79: set_b,SV130: b > $o,SV157: b > $o,SV171: b] :
( ( ( ~ ( ~ ( member_b @ ( sK24_SY369 @ SV171 @ SV157 @ SV130 @ SV79 ) @ SV79 )
| ~ ( SV130 @ ( sK24_SY369 @ SV171 @ SV157 @ SV130 @ SV79 ) ) ) )
= $true )
| ( ( SV157
@ ( hilbert_Eps_b
@ ^ [SY358: b] :
~ ( ~ ( member_b @ SY358 @ SV79 )
| ~ ( SV130 @ SY358 ) ) ) )
= $true )
| ( ( member_b @ SV171 @ SV79 )
= $false )
| ( ( SV130 @ SV171 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1821]) ).
thf(1842,plain,
! [SV165: set_b,SV132: set_b,SV184: b] :
( ( ( member_b @ SV184 @ SV132 )
= $false )
| ( ( member_b @ SV184 @ SV165 )
= $true )
| ( ( member_b @ ( sK15_SY375 @ SV165 @ SV132 ) @ SV132 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1823]) ).
thf(1843,plain,
! [SV112: b,SV148: b,SV163: b,SV59: b] :
( ( ( SV59 = SV163 )
= $true )
| ( ( SV59 = SV148 )
= $true )
| ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1830]) ).
thf(1844,plain,
! [SV163: b,SV59: b,SV148: b,SV112: b] :
( ( ( SV112 = SV148 )
= $true )
| ( ( SV59 = SV148 )
= $true )
| ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1831]) ).
thf(1845,plain,
! [SV148: b,SV112: b,SV163: b,SV59: b] :
( ( ( SV59 = SV163 )
= $true )
| ( ( SV112 = SV163 )
= $true )
| ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1832]) ).
thf(1846,plain,
! [SV59: b,SV163: b,SV148: b,SV112: b] :
( ( ( SV112 = SV148 )
= $true )
| ( ( SV112 = SV163 )
= $true )
| ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1833]) ).
thf(1849,plain,
! [SV164: set_b,SV123: set_b,SV153: b,SV72: b] :
( ( ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) )
= $false )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $false )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1839]) ).
thf(1850,plain,
! [SV164: set_b,SV123: set_b,SV153: b,SV72: b] :
( ( ( SV72 != SV153 )
= $false )
| ( ( ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) )
= $true )
| ( ( ~ ( ( ( insert_b @ SV72 @ SV123 )
!= ( insert_b @ SV153 @ SV164 ) )
| ~ ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1840]) ).
thf(1851,plain,
! [SV153: b,SV72: b,SV164: set_b,SV123: set_b] :
( ( ( SV123 = SV164 )
= $false )
| ( ( ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) )
= $true )
| ( ( ~ ( ( ( insert_b @ SV72 @ SV123 )
!= ( insert_b @ SV153 @ SV164 ) )
| ~ ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1840]) ).
thf(1852,plain,
! [SV79: set_b,SV130: b > $o,SV157: b > $o,SV171: b] :
( ( ( ~ ( member_b @ ( sK24_SY369 @ SV171 @ SV157 @ SV130 @ SV79 ) @ SV79 )
| ~ ( SV130 @ ( sK24_SY369 @ SV171 @ SV157 @ SV130 @ SV79 ) ) )
= $false )
| ( ( SV157
@ ( hilbert_Eps_b
@ ^ [SY358: b] :
~ ( ~ ( member_b @ SY358 @ SV79 )
| ~ ( SV130 @ SY358 ) ) ) )
= $true )
| ( ( member_b @ SV171 @ SV79 )
= $false )
| ( ( SV130 @ SV171 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1841]) ).
thf(1857,plain,
! [SV164: set_b,SV123: set_b,SV153: b,SV72: b] :
( ( ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) ) )
= $false )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $false )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1849]) ).
thf(1858,plain,
! [SV164: set_b,SV123: set_b,SV153: b,SV72: b] :
( ( ( ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) )
= $false )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $false )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1849]) ).
thf(1859,plain,
! [SV164: set_b,SV123: set_b,SV153: b,SV72: b] :
( ( ( SV72 = SV153 )
= $true )
| ( ( ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) )
= $true )
| ( ( ~ ( ( ( insert_b @ SV72 @ SV123 )
!= ( insert_b @ SV153 @ SV164 ) )
| ~ ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1850]) ).
thf(1860,plain,
! [SV164: set_b,SV123: set_b,SV153: b,SV72: b] :
( ( ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) )
= $false )
| ( ( SV123 = SV164 )
= $false )
| ( ( ~ ( ( ( insert_b @ SV72 @ SV123 )
!= ( insert_b @ SV153 @ SV164 ) )
| ~ ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1851]) ).
thf(1861,plain,
! [SV79: set_b,SV130: b > $o,SV157: b > $o,SV171: b] :
( ( ( ~ ( member_b @ ( sK24_SY369 @ SV171 @ SV157 @ SV130 @ SV79 ) @ SV79 ) )
= $false )
| ( ( SV157
@ ( hilbert_Eps_b
@ ^ [SY358: b] :
~ ( ~ ( member_b @ SY358 @ SV79 )
| ~ ( SV130 @ SY358 ) ) ) )
= $true )
| ( ( member_b @ SV171 @ SV79 )
= $false )
| ( ( SV130 @ SV171 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1852]) ).
thf(1862,plain,
! [SV79: set_b,SV157: b > $o,SV171: b,SV130: b > $o] :
( ( ( ~ ( SV130 @ ( sK24_SY369 @ SV171 @ SV157 @ SV130 @ SV79 ) ) )
= $false )
| ( ( SV157
@ ( hilbert_Eps_b
@ ^ [SY358: b] :
~ ( ~ ( member_b @ SY358 @ SV79 )
| ~ ( SV130 @ SY358 ) ) ) )
= $true )
| ( ( member_b @ SV171 @ SV79 )
= $false )
| ( ( SV130 @ SV171 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1852]) ).
thf(1867,plain,
! [SV164: set_b,SV123: set_b,SV153: b,SV72: b] :
( ( ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
= $true )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $false )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1857]) ).
thf(1868,plain,
! [SV164: set_b,SV123: set_b,SV153: b,SV72: b] :
( ( ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) )
= $true )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $false )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1858]) ).
thf(1869,plain,
! [SV164: set_b,SV123: set_b,SV153: b,SV72: b] :
( ( ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) )
= $false )
| ( ( SV72 = SV153 )
= $true )
| ( ( ~ ( ( ( insert_b @ SV72 @ SV123 )
!= ( insert_b @ SV153 @ SV164 ) )
| ~ ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1859]) ).
thf(1870,plain,
! [SV164: set_b,SV123: set_b,SV153: b,SV72: b] :
( ( ( ~ ( ( SV72 != SV153 ) ) )
= $false )
| ( ( SV123 = SV164 )
= $false )
| ( ( ~ ( ( ( insert_b @ SV72 @ SV123 )
!= ( insert_b @ SV153 @ SV164 ) )
| ~ ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1860]) ).
thf(1871,plain,
! [SV72: b,SV164: set_b,SV153: b,SV123: set_b] :
( ( ( ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) )
= $false )
| ( ( SV123 = SV164 )
= $false )
| ( ( ~ ( ( ( insert_b @ SV72 @ SV123 )
!= ( insert_b @ SV153 @ SV164 ) )
| ~ ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1860]) ).
thf(1872,plain,
! [SV79: set_b,SV130: b > $o,SV157: b > $o,SV171: b] :
( ( ( member_b @ ( sK24_SY369 @ SV171 @ SV157 @ SV130 @ SV79 ) @ SV79 )
= $true )
| ( ( SV157
@ ( hilbert_Eps_b
@ ^ [SY358: b] :
~ ( ~ ( member_b @ SY358 @ SV79 )
| ~ ( SV130 @ SY358 ) ) ) )
= $true )
| ( ( member_b @ SV171 @ SV79 )
= $false )
| ( ( SV130 @ SV171 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1861]) ).
thf(1873,plain,
! [SV79: set_b,SV157: b > $o,SV171: b,SV130: b > $o] :
( ( ( SV130 @ ( sK24_SY369 @ SV171 @ SV157 @ SV130 @ SV79 ) )
= $true )
| ( ( SV157
@ ( hilbert_Eps_b
@ ^ [SY358: b] :
~ ( ~ ( member_b @ SY358 @ SV79 )
| ~ ( SV130 @ SY358 ) ) ) )
= $true )
| ( ( member_b @ SV171 @ SV79 )
= $false )
| ( ( SV130 @ SV171 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1862]) ).
thf(1878,plain,
! [SV164: set_b,SV123: set_b,SV153: b,SV72: b] :
( ( ( SV72 != SV153 )
= $true )
| ( ( SV123 = SV164 )
= $true )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $false )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1867]) ).
thf(1879,plain,
! [SV164: set_b,SV123: set_b,SV153: b,SV72: b] :
( ( ( ~ ( ( SV72 != SV153 ) ) )
= $true )
| ( ( ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) )
= $true )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $false )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1868]) ).
thf(1881,plain,
! [SV72: b,SV164: set_b,SV153: b,SV123: set_b] :
( ( ( ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) )
= $false )
| ( ( SV72 = SV153 )
= $true )
| ( ( ~ ( ( ( insert_b @ SV72 @ SV123 )
!= ( insert_b @ SV153 @ SV164 ) )
| ~ ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1869]) ).
thf(1882,plain,
! [SV164: set_b,SV123: set_b,SV153: b,SV72: b] :
( ( ( SV72 != SV153 )
= $true )
| ( ( SV123 = SV164 )
= $false )
| ( ( ~ ( ( ( insert_b @ SV72 @ SV123 )
!= ( insert_b @ SV153 @ SV164 ) )
| ~ ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1870]) ).
thf(1883,plain,
! [SV72: b,SV164: set_b,SV153: b,SV123: set_b] :
( ( ( ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) )
= $true )
| ( ( SV123 = SV164 )
= $false )
| ( ( ~ ( ( ( insert_b @ SV72 @ SV123 )
!= ( insert_b @ SV153 @ SV164 ) )
| ~ ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1871]) ).
thf(1892,plain,
! [SV164: set_b,SV123: set_b,SV153: b,SV72: b] :
( ( ( SV72 = SV153 )
= $false )
| ( ( SV123 = SV164 )
= $true )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $false )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1878]) ).
thf(1893,plain,
! [SV164: set_b,SV123: set_b,SV153: b,SV72: b] :
( ( ( SV72 != SV153 )
= $false )
| ( ( ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) )
= $true )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $false )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1879]) ).
thf(1895,plain,
! [SV72: b,SV164: set_b,SV153: b,SV123: set_b] :
( ( ( ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( ~ ( ( ( insert_b @ SV72 @ SV123 )
!= ( insert_b @ SV153 @ SV164 ) )
| ~ ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1881]) ).
thf(1896,plain,
! [SV164: set_b,SV123: set_b,SV153: b,SV72: b] :
( ( ( SV72 = SV153 )
= $false )
| ( ( SV123 = SV164 )
= $false )
| ( ( ~ ( ( ( insert_b @ SV72 @ SV123 )
!= ( insert_b @ SV153 @ SV164 ) )
| ~ ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1882]) ).
thf(1897,plain,
! [SV72: b,SV164: set_b,SV185: set_b,SV153: b,SV123: set_b] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SV185 ) )
| ~ ~ ( member_b @ SV153 @ SV185 ) )
| ( SV164
!= ( insert_b @ SV72 @ SV185 ) ) )
| ~ ~ ( member_b @ SV72 @ SV185 ) ) )
= $true )
| ( ( SV123 = SV164 )
= $false )
| ( ( ~ ( ( ( insert_b @ SV72 @ SV123 )
!= ( insert_b @ SV153 @ SV164 ) )
| ~ ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1883]) ).
thf(1906,plain,
! [SV164: set_b,SV123: set_b,SV153: b,SV72: b] :
( ( ( SV72 = SV153 )
= $true )
| ( ( ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) )
= $true )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $false )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1893]) ).
thf(1908,plain,
! [SV72: b,SV164: set_b,SV186: set_b,SV153: b,SV123: set_b] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SV186 ) )
| ~ ~ ( member_b @ SV153 @ SV186 ) )
| ( SV164
!= ( insert_b @ SV72 @ SV186 ) ) )
| ~ ~ ( member_b @ SV72 @ SV186 ) ) )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( ~ ( ( ( insert_b @ SV72 @ SV123 )
!= ( insert_b @ SV153 @ SV164 ) )
| ~ ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1895]) ).
thf(1909,plain,
! [SV164: set_b,SV153: b,SV123: set_b,SV72: b] :
( ( ( ( ( insert_b @ SV72 @ SV123 )
!= ( insert_b @ SV153 @ SV164 ) )
| ~ ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) )
= $false )
| ( ( SV123 = SV164 )
= $false )
| ( ( SV72 = SV153 )
= $false )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1896]) ).
thf(1910,plain,
! [SV72: b,SV164: set_b,SV185: set_b,SV153: b,SV123: set_b] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SV185 ) )
| ~ ~ ( member_b @ SV153 @ SV185 ) )
| ( SV164
!= ( insert_b @ SV72 @ SV185 ) ) )
| ~ ~ ( member_b @ SV72 @ SV185 ) ) )
= $false )
| ( ( SV123 = SV164 )
= $false )
| ( ( ~ ( ( ( insert_b @ SV72 @ SV123 )
!= ( insert_b @ SV153 @ SV164 ) )
| ~ ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1897]) ).
thf(1911,plain,
! [SV72: b,SV164: set_b,SV153: b,SV123: set_b] :
( ( ( ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) )
= $false )
| ( ( SV72 = SV153 )
= $true )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $false )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1906]) ).
thf(1913,plain,
! [SV72: b,SV164: set_b,SV186: set_b,SV153: b,SV123: set_b] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SV186 ) )
| ~ ~ ( member_b @ SV153 @ SV186 ) )
| ( SV164
!= ( insert_b @ SV72 @ SV186 ) ) )
| ~ ~ ( member_b @ SV72 @ SV186 ) ) )
= $false )
| ( ( SV72 = SV153 )
= $true )
| ( ( ~ ( ( ( insert_b @ SV72 @ SV123 )
!= ( insert_b @ SV153 @ SV164 ) )
| ~ ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1908]) ).
thf(1914,plain,
! [SV164: set_b,SV153: b,SV123: set_b,SV72: b] :
( ( ( ( insert_b @ SV72 @ SV123 )
!= ( insert_b @ SV153 @ SV164 ) )
= $false )
| ( ( SV123 = SV164 )
= $false )
| ( ( SV72 = SV153 )
= $false )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1909]) ).
thf(1916,plain,
! [SV72: b,SV164: set_b,SV185: set_b,SV153: b,SV123: set_b] :
( ( ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SV185 ) )
| ~ ~ ( member_b @ SV153 @ SV185 ) )
| ( SV164
!= ( insert_b @ SV72 @ SV185 ) ) )
| ~ ~ ( member_b @ SV72 @ SV185 ) )
= $true )
| ( ( SV123 = SV164 )
= $false )
| ( ( ~ ( ( ( insert_b @ SV72 @ SV123 )
!= ( insert_b @ SV153 @ SV164 ) )
| ~ ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1910]) ).
thf(1917,plain,
! [SV164: set_b,SV72: b,SV153: b,SV123: set_b] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ ( sK25_SY374 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
| ~ ~ ( member_b @ SV153 @ ( sK25_SY374 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
| ( SV164
!= ( insert_b @ SV72 @ ( sK25_SY374 @ SV72 @ SV164 @ SV153 @ SV123 ) ) ) )
| ~ ~ ( member_b @ SV72 @ ( sK25_SY374 @ SV72 @ SV164 @ SV153 @ SV123 ) ) ) )
= $false )
| ( ( SV72 = SV153 )
= $true )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $false )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1911]) ).
thf(1920,plain,
! [SV72: b,SV164: set_b,SV186: set_b,SV153: b,SV123: set_b] :
( ( ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SV186 ) )
| ~ ~ ( member_b @ SV153 @ SV186 ) )
| ( SV164
!= ( insert_b @ SV72 @ SV186 ) ) )
| ~ ~ ( member_b @ SV72 @ SV186 ) )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( ~ ( ( ( insert_b @ SV72 @ SV123 )
!= ( insert_b @ SV153 @ SV164 ) )
| ~ ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1913]) ).
thf(1921,plain,
! [SV164: set_b,SV153: b,SV123: set_b,SV72: b] :
( ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $true )
| ( ( SV123 = SV164 )
= $false )
| ( ( SV72 = SV153 )
= $false )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1914]) ).
thf(1923,plain,
! [SV72: b,SV164: set_b,SV185: set_b,SV153: b,SV123: set_b] :
( ( ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SV185 ) )
| ~ ~ ( member_b @ SV153 @ SV185 ) )
| ( SV164
!= ( insert_b @ SV72 @ SV185 ) ) ) )
= $true )
| ( ( ~ ~ ( member_b @ SV72 @ SV185 ) )
= $true )
| ( ( SV123 = SV164 )
= $false )
| ( ( ~ ( ( ( insert_b @ SV72 @ SV123 )
!= ( insert_b @ SV153 @ SV164 ) )
| ~ ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1916]) ).
thf(1924,plain,
! [SV164: set_b,SV72: b,SV153: b,SV123: set_b] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ ( sK25_SY374 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
| ~ ~ ( member_b @ SV153 @ ( sK25_SY374 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
| ( SV164
!= ( insert_b @ SV72 @ ( sK25_SY374 @ SV72 @ SV164 @ SV153 @ SV123 ) ) ) )
| ~ ~ ( member_b @ SV72 @ ( sK25_SY374 @ SV72 @ SV164 @ SV153 @ SV123 ) ) ) )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $false )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1917]) ).
thf(1927,plain,
! [SV72: b,SV164: set_b,SV186: set_b,SV153: b,SV123: set_b] :
( ( ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SV186 ) )
| ~ ~ ( member_b @ SV153 @ SV186 ) )
| ( SV164
!= ( insert_b @ SV72 @ SV186 ) ) ) )
= $true )
| ( ( ~ ~ ( member_b @ SV72 @ SV186 ) )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( ~ ( ( ( insert_b @ SV72 @ SV123 )
!= ( insert_b @ SV153 @ SV164 ) )
| ~ ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1920]) ).
thf(1929,plain,
! [SV72: b,SV164: set_b,SV185: set_b,SV153: b,SV123: set_b] :
( ( ( ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SV185 ) )
| ~ ~ ( member_b @ SV153 @ SV185 ) )
| ( SV164
!= ( insert_b @ SV72 @ SV185 ) ) ) )
= $false )
| ( ( ~ ~ ( member_b @ SV72 @ SV185 ) )
= $true )
| ( ( SV123 = SV164 )
= $false )
| ( ( ~ ( ( ( insert_b @ SV72 @ SV123 )
!= ( insert_b @ SV153 @ SV164 ) )
| ~ ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1923]) ).
thf(1930,plain,
! [SV164: set_b,SV72: b,SV153: b,SV123: set_b] :
( ( ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ ( sK25_SY374 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
| ~ ~ ( member_b @ SV153 @ ( sK25_SY374 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
| ( SV164
!= ( insert_b @ SV72 @ ( sK25_SY374 @ SV72 @ SV164 @ SV153 @ SV123 ) ) ) )
| ~ ~ ( member_b @ SV72 @ ( sK25_SY374 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
= $false )
| ( ( SV72 = SV153 )
= $true )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $false )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1924]) ).
thf(1932,plain,
! [SV72: b,SV164: set_b,SV186: set_b,SV153: b,SV123: set_b] :
( ( ( ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SV186 ) )
| ~ ~ ( member_b @ SV153 @ SV186 ) )
| ( SV164
!= ( insert_b @ SV72 @ SV186 ) ) ) )
= $false )
| ( ( ~ ~ ( member_b @ SV72 @ SV186 ) )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( ~ ( ( ( insert_b @ SV72 @ SV123 )
!= ( insert_b @ SV153 @ SV164 ) )
| ~ ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1927]) ).
thf(1935,plain,
! [SV72: b,SV164: set_b,SV185: set_b,SV153: b,SV123: set_b] :
( ( ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SV185 ) )
| ~ ~ ( member_b @ SV153 @ SV185 ) )
| ( SV164
!= ( insert_b @ SV72 @ SV185 ) ) )
= $true )
| ( ( ~ ~ ( member_b @ SV72 @ SV185 ) )
= $true )
| ( ( SV123 = SV164 )
= $false )
| ( ( ~ ( ( ( insert_b @ SV72 @ SV123 )
!= ( insert_b @ SV153 @ SV164 ) )
| ~ ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1929]) ).
thf(1936,plain,
! [SV164: set_b,SV72: b,SV153: b,SV123: set_b] :
( ( ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ ( sK25_SY374 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
| ~ ~ ( member_b @ SV153 @ ( sK25_SY374 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
| ( SV164
!= ( insert_b @ SV72 @ ( sK25_SY374 @ SV72 @ SV164 @ SV153 @ SV123 ) ) ) ) )
= $false )
| ( ( SV72 = SV153 )
= $true )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $false )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1930]) ).
thf(1937,plain,
! [SV123: set_b,SV153: b,SV164: set_b,SV72: b] :
( ( ( ~ ~ ( member_b @ SV72 @ ( sK25_SY374 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
= $false )
| ( ( SV72 = SV153 )
= $true )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $false )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1930]) ).
thf(1940,plain,
! [SV72: b,SV164: set_b,SV186: set_b,SV153: b,SV123: set_b] :
( ( ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SV186 ) )
| ~ ~ ( member_b @ SV153 @ SV186 ) )
| ( SV164
!= ( insert_b @ SV72 @ SV186 ) ) )
= $true )
| ( ( ~ ~ ( member_b @ SV72 @ SV186 ) )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( ~ ( ( ( insert_b @ SV72 @ SV123 )
!= ( insert_b @ SV153 @ SV164 ) )
| ~ ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1932]) ).
thf(1943,plain,
! [SV72: b,SV164: set_b,SV185: set_b,SV153: b,SV123: set_b] :
( ( ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SV185 ) )
| ~ ~ ( member_b @ SV153 @ SV185 ) ) )
= $true )
| ( ( SV164
!= ( insert_b @ SV72 @ SV185 ) )
= $true )
| ( ( ~ ~ ( member_b @ SV72 @ SV185 ) )
= $true )
| ( ( SV123 = SV164 )
= $false )
| ( ( ~ ( ( ( insert_b @ SV72 @ SV123 )
!= ( insert_b @ SV153 @ SV164 ) )
| ~ ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1935]) ).
thf(1944,plain,
! [SV164: set_b,SV72: b,SV153: b,SV123: set_b] :
( ( ( ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ ( sK25_SY374 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
| ~ ~ ( member_b @ SV153 @ ( sK25_SY374 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
| ( SV164
!= ( insert_b @ SV72 @ ( sK25_SY374 @ SV72 @ SV164 @ SV153 @ SV123 ) ) ) ) )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $false )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1936]) ).
thf(1945,plain,
! [SV123: set_b,SV153: b,SV164: set_b,SV72: b] :
( ( ( ~ ( member_b @ SV72 @ ( sK25_SY374 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $false )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1937]) ).
thf(1948,plain,
! [SV72: b,SV164: set_b,SV186: set_b,SV153: b,SV123: set_b] :
( ( ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SV186 ) )
| ~ ~ ( member_b @ SV153 @ SV186 ) ) )
= $true )
| ( ( SV164
!= ( insert_b @ SV72 @ SV186 ) )
= $true )
| ( ( ~ ~ ( member_b @ SV72 @ SV186 ) )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( ~ ( ( ( insert_b @ SV72 @ SV123 )
!= ( insert_b @ SV153 @ SV164 ) )
| ~ ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1940]) ).
thf(1951,plain,
! [SV72: b,SV164: set_b,SV185: set_b,SV153: b,SV123: set_b] :
( ( ( ~ ( ( SV123
!= ( insert_b @ SV153 @ SV185 ) )
| ~ ~ ( member_b @ SV153 @ SV185 ) ) )
= $false )
| ( ( SV164
!= ( insert_b @ SV72 @ SV185 ) )
= $true )
| ( ( ~ ~ ( member_b @ SV72 @ SV185 ) )
= $true )
| ( ( SV123 = SV164 )
= $false )
| ( ( ~ ( ( ( insert_b @ SV72 @ SV123 )
!= ( insert_b @ SV153 @ SV164 ) )
| ~ ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1943]) ).
thf(1952,plain,
! [SV164: set_b,SV72: b,SV153: b,SV123: set_b] :
( ( ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ ( sK25_SY374 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
| ~ ~ ( member_b @ SV153 @ ( sK25_SY374 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
| ( SV164
!= ( insert_b @ SV72 @ ( sK25_SY374 @ SV72 @ SV164 @ SV153 @ SV123 ) ) ) )
= $false )
| ( ( SV72 = SV153 )
= $true )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $false )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1944]) ).
thf(1953,plain,
! [SV123: set_b,SV153: b,SV164: set_b,SV72: b] :
( ( ( member_b @ SV72 @ ( sK25_SY374 @ SV72 @ SV164 @ SV153 @ SV123 ) )
= $false )
| ( ( SV72 = SV153 )
= $true )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $false )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1945]) ).
thf(1956,plain,
! [SV72: b,SV164: set_b,SV186: set_b,SV153: b,SV123: set_b] :
( ( ( ~ ( ( SV123
!= ( insert_b @ SV153 @ SV186 ) )
| ~ ~ ( member_b @ SV153 @ SV186 ) ) )
= $false )
| ( ( SV164
!= ( insert_b @ SV72 @ SV186 ) )
= $true )
| ( ( ~ ~ ( member_b @ SV72 @ SV186 ) )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( ~ ( ( ( insert_b @ SV72 @ SV123 )
!= ( insert_b @ SV153 @ SV164 ) )
| ~ ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1948]) ).
thf(1959,plain,
! [SV72: b,SV164: set_b,SV185: set_b,SV153: b,SV123: set_b] :
( ( ( ( SV123
!= ( insert_b @ SV153 @ SV185 ) )
| ~ ~ ( member_b @ SV153 @ SV185 ) )
= $true )
| ( ( SV164
!= ( insert_b @ SV72 @ SV185 ) )
= $true )
| ( ( ~ ~ ( member_b @ SV72 @ SV185 ) )
= $true )
| ( ( SV123 = SV164 )
= $false )
| ( ( ~ ( ( ( insert_b @ SV72 @ SV123 )
!= ( insert_b @ SV153 @ SV164 ) )
| ~ ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1951]) ).
thf(1960,plain,
! [SV164: set_b,SV72: b,SV153: b,SV123: set_b] :
( ( ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ ( sK25_SY374 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
| ~ ~ ( member_b @ SV153 @ ( sK25_SY374 @ SV72 @ SV164 @ SV153 @ SV123 ) ) ) )
= $false )
| ( ( SV72 = SV153 )
= $true )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $false )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1952]) ).
thf(1961,plain,
! [SV123: set_b,SV153: b,SV72: b,SV164: set_b] :
( ( ( SV164
!= ( insert_b @ SV72 @ ( sK25_SY374 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
= $false )
| ( ( SV72 = SV153 )
= $true )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $false )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1952]) ).
thf(1964,plain,
! [SV72: b,SV164: set_b,SV186: set_b,SV153: b,SV123: set_b] :
( ( ( ( SV123
!= ( insert_b @ SV153 @ SV186 ) )
| ~ ~ ( member_b @ SV153 @ SV186 ) )
= $true )
| ( ( SV164
!= ( insert_b @ SV72 @ SV186 ) )
= $true )
| ( ( ~ ~ ( member_b @ SV72 @ SV186 ) )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( ~ ( ( ( insert_b @ SV72 @ SV123 )
!= ( insert_b @ SV153 @ SV164 ) )
| ~ ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1956]) ).
thf(1966,plain,
! [SV72: b,SV164: set_b,SV185: set_b,SV153: b,SV123: set_b] :
( ( ( SV123
!= ( insert_b @ SV153 @ SV185 ) )
= $true )
| ( ( ~ ~ ( member_b @ SV153 @ SV185 ) )
= $true )
| ( ( SV164
!= ( insert_b @ SV72 @ SV185 ) )
= $true )
| ( ( ~ ~ ( member_b @ SV72 @ SV185 ) )
= $true )
| ( ( SV123 = SV164 )
= $false )
| ( ( ~ ( ( ( insert_b @ SV72 @ SV123 )
!= ( insert_b @ SV153 @ SV164 ) )
| ~ ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1959]) ).
thf(1967,plain,
! [SV164: set_b,SV72: b,SV153: b,SV123: set_b] :
( ( ( ~ ( ( SV123
!= ( insert_b @ SV153 @ ( sK25_SY374 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
| ~ ~ ( member_b @ SV153 @ ( sK25_SY374 @ SV72 @ SV164 @ SV153 @ SV123 ) ) ) )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $false )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1960]) ).
thf(1968,plain,
! [SV123: set_b,SV153: b,SV72: b,SV164: set_b] :
( ( ( SV164
= ( insert_b @ SV72 @ ( sK25_SY374 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $false )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1961]) ).
thf(1970,plain,
! [SV72: b,SV164: set_b,SV186: set_b,SV153: b,SV123: set_b] :
( ( ( SV123
!= ( insert_b @ SV153 @ SV186 ) )
= $true )
| ( ( ~ ~ ( member_b @ SV153 @ SV186 ) )
= $true )
| ( ( SV164
!= ( insert_b @ SV72 @ SV186 ) )
= $true )
| ( ( ~ ~ ( member_b @ SV72 @ SV186 ) )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( ~ ( ( ( insert_b @ SV72 @ SV123 )
!= ( insert_b @ SV153 @ SV164 ) )
| ~ ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1964]) ).
thf(1972,plain,
! [SV72: b,SV164: set_b,SV185: set_b,SV153: b,SV123: set_b] :
( ( ( SV123
= ( insert_b @ SV153 @ SV185 ) )
= $false )
| ( ( ~ ~ ( member_b @ SV153 @ SV185 ) )
= $true )
| ( ( SV164
!= ( insert_b @ SV72 @ SV185 ) )
= $true )
| ( ( ~ ~ ( member_b @ SV72 @ SV185 ) )
= $true )
| ( ( SV123 = SV164 )
= $false )
| ( ( ~ ( ( ( insert_b @ SV72 @ SV123 )
!= ( insert_b @ SV153 @ SV164 ) )
| ~ ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1966]) ).
thf(1973,plain,
! [SV164: set_b,SV72: b,SV153: b,SV123: set_b] :
( ( ( ( SV123
!= ( insert_b @ SV153 @ ( sK25_SY374 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
| ~ ~ ( member_b @ SV153 @ ( sK25_SY374 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
= $false )
| ( ( SV72 = SV153 )
= $true )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $false )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1967]) ).
thf(1975,plain,
! [SV72: b,SV164: set_b,SV186: set_b,SV153: b,SV123: set_b] :
( ( ( SV123
= ( insert_b @ SV153 @ SV186 ) )
= $false )
| ( ( ~ ~ ( member_b @ SV153 @ SV186 ) )
= $true )
| ( ( SV164
!= ( insert_b @ SV72 @ SV186 ) )
= $true )
| ( ( ~ ~ ( member_b @ SV72 @ SV186 ) )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( ~ ( ( ( insert_b @ SV72 @ SV123 )
!= ( insert_b @ SV153 @ SV164 ) )
| ~ ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1970]) ).
thf(1977,plain,
! [SV72: b,SV164: set_b,SV123: set_b,SV185: set_b,SV153: b] :
( ( ( ~ ( member_b @ SV153 @ SV185 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV185 ) )
= $false )
| ( ( SV164
!= ( insert_b @ SV72 @ SV185 ) )
= $true )
| ( ( ~ ~ ( member_b @ SV72 @ SV185 ) )
= $true )
| ( ( SV123 = SV164 )
= $false )
| ( ( ~ ( ( ( insert_b @ SV72 @ SV123 )
!= ( insert_b @ SV153 @ SV164 ) )
| ~ ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1972]) ).
thf(1978,plain,
! [SV164: set_b,SV72: b,SV153: b,SV123: set_b] :
( ( ( SV123
!= ( insert_b @ SV153 @ ( sK25_SY374 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
= $false )
| ( ( SV72 = SV153 )
= $true )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $false )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1973]) ).
thf(1979,plain,
! [SV123: set_b,SV164: set_b,SV72: b,SV153: b] :
( ( ( ~ ~ ( member_b @ SV153 @ ( sK25_SY374 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
= $false )
| ( ( SV72 = SV153 )
= $true )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $false )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1973]) ).
thf(1981,plain,
! [SV72: b,SV164: set_b,SV123: set_b,SV186: set_b,SV153: b] :
( ( ( ~ ( member_b @ SV153 @ SV186 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV186 ) )
= $false )
| ( ( SV164
!= ( insert_b @ SV72 @ SV186 ) )
= $true )
| ( ( ~ ~ ( member_b @ SV72 @ SV186 ) )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( ~ ( ( ( insert_b @ SV72 @ SV123 )
!= ( insert_b @ SV153 @ SV164 ) )
| ~ ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1975]) ).
thf(1983,plain,
! [SV72: b,SV164: set_b,SV123: set_b,SV185: set_b,SV153: b] :
( ( ( member_b @ SV153 @ SV185 )
= $true )
| ( ( SV123
= ( insert_b @ SV153 @ SV185 ) )
= $false )
| ( ( SV164
!= ( insert_b @ SV72 @ SV185 ) )
= $true )
| ( ( ~ ~ ( member_b @ SV72 @ SV185 ) )
= $true )
| ( ( SV123 = SV164 )
= $false )
| ( ( ~ ( ( ( insert_b @ SV72 @ SV123 )
!= ( insert_b @ SV153 @ SV164 ) )
| ~ ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1977]) ).
thf(1984,plain,
! [SV164: set_b,SV72: b,SV153: b,SV123: set_b] :
( ( ( SV123
= ( insert_b @ SV153 @ ( sK25_SY374 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $false )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1978]) ).
thf(1985,plain,
! [SV123: set_b,SV164: set_b,SV72: b,SV153: b] :
( ( ( ~ ( member_b @ SV153 @ ( sK25_SY374 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $false )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1979]) ).
thf(1987,plain,
! [SV72: b,SV164: set_b,SV123: set_b,SV186: set_b,SV153: b] :
( ( ( member_b @ SV153 @ SV186 )
= $true )
| ( ( SV123
= ( insert_b @ SV153 @ SV186 ) )
= $false )
| ( ( SV164
!= ( insert_b @ SV72 @ SV186 ) )
= $true )
| ( ( ~ ~ ( member_b @ SV72 @ SV186 ) )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( ~ ( ( ( insert_b @ SV72 @ SV123 )
!= ( insert_b @ SV153 @ SV164 ) )
| ~ ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1981]) ).
thf(1989,plain,
! [SV153: b,SV123: set_b,SV185: set_b,SV72: b,SV164: set_b] :
( ( ( SV164
= ( insert_b @ SV72 @ SV185 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV185 ) )
= $false )
| ( ( member_b @ SV153 @ SV185 )
= $true )
| ( ( ~ ~ ( member_b @ SV72 @ SV185 ) )
= $true )
| ( ( SV123 = SV164 )
= $false )
| ( ( ~ ( ( ( insert_b @ SV72 @ SV123 )
!= ( insert_b @ SV153 @ SV164 ) )
| ~ ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1983]) ).
thf(1990,plain,
! [SV123: set_b,SV164: set_b,SV72: b,SV153: b] :
( ( ( member_b @ SV153 @ ( sK25_SY374 @ SV72 @ SV164 @ SV153 @ SV123 ) )
= $false )
| ( ( SV72 = SV153 )
= $true )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $false )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1985]) ).
thf(1992,plain,
! [SV153: b,SV123: set_b,SV186: set_b,SV72: b,SV164: set_b] :
( ( ( SV164
= ( insert_b @ SV72 @ SV186 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV186 ) )
= $false )
| ( ( member_b @ SV153 @ SV186 )
= $true )
| ( ( ~ ~ ( member_b @ SV72 @ SV186 ) )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( ~ ( ( ( insert_b @ SV72 @ SV123 )
!= ( insert_b @ SV153 @ SV164 ) )
| ~ ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1987]) ).
thf(1995,plain,
! [SV164: set_b,SV123: set_b,SV153: b,SV185: set_b,SV72: b] :
( ( ( ~ ( member_b @ SV72 @ SV185 ) )
= $false )
| ( ( member_b @ SV153 @ SV185 )
= $true )
| ( ( SV123
= ( insert_b @ SV153 @ SV185 ) )
= $false )
| ( ( SV164
= ( insert_b @ SV72 @ SV185 ) )
= $false )
| ( ( SV123 = SV164 )
= $false )
| ( ( ~ ( ( ( insert_b @ SV72 @ SV123 )
!= ( insert_b @ SV153 @ SV164 ) )
| ~ ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1989]) ).
thf(1998,plain,
! [SV164: set_b,SV123: set_b,SV153: b,SV186: set_b,SV72: b] :
( ( ( ~ ( member_b @ SV72 @ SV186 ) )
= $false )
| ( ( member_b @ SV153 @ SV186 )
= $true )
| ( ( SV123
= ( insert_b @ SV153 @ SV186 ) )
= $false )
| ( ( SV164
= ( insert_b @ SV72 @ SV186 ) )
= $false )
| ( ( SV72 = SV153 )
= $true )
| ( ( ~ ( ( ( insert_b @ SV72 @ SV123 )
!= ( insert_b @ SV153 @ SV164 ) )
| ~ ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1992]) ).
thf(2001,plain,
! [SV164: set_b,SV123: set_b,SV153: b,SV185: set_b,SV72: b] :
( ( ( member_b @ SV72 @ SV185 )
= $true )
| ( ( member_b @ SV153 @ SV185 )
= $true )
| ( ( SV123
= ( insert_b @ SV153 @ SV185 ) )
= $false )
| ( ( SV164
= ( insert_b @ SV72 @ SV185 ) )
= $false )
| ( ( SV123 = SV164 )
= $false )
| ( ( ~ ( ( ( insert_b @ SV72 @ SV123 )
!= ( insert_b @ SV153 @ SV164 ) )
| ~ ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1995]) ).
thf(2004,plain,
! [SV164: set_b,SV123: set_b,SV153: b,SV186: set_b,SV72: b] :
( ( ( member_b @ SV72 @ SV186 )
= $true )
| ( ( member_b @ SV153 @ SV186 )
= $true )
| ( ( SV123
= ( insert_b @ SV153 @ SV186 ) )
= $false )
| ( ( SV164
= ( insert_b @ SV72 @ SV186 ) )
= $false )
| ( ( SV72 = SV153 )
= $true )
| ( ( ~ ( ( ( insert_b @ SV72 @ SV123 )
!= ( insert_b @ SV153 @ SV164 ) )
| ~ ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1998]) ).
thf(2007,plain,
! [SV185: set_b,SV164: set_b,SV153: b,SV123: set_b,SV72: b] :
( ( ( ( ( insert_b @ SV72 @ SV123 )
!= ( insert_b @ SV153 @ SV164 ) )
| ~ ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) )
= $false )
| ( ( SV123 = SV164 )
= $false )
| ( ( SV164
= ( insert_b @ SV72 @ SV185 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV185 ) )
= $false )
| ( ( member_b @ SV153 @ SV185 )
= $true )
| ( ( member_b @ SV72 @ SV185 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2001]) ).
thf(2010,plain,
! [SV186: set_b,SV164: set_b,SV153: b,SV123: set_b,SV72: b] :
( ( ( ( ( insert_b @ SV72 @ SV123 )
!= ( insert_b @ SV153 @ SV164 ) )
| ~ ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) )
= $false )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV164
= ( insert_b @ SV72 @ SV186 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV186 ) )
= $false )
| ( ( member_b @ SV153 @ SV186 )
= $true )
| ( ( member_b @ SV72 @ SV186 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2004]) ).
thf(2013,plain,
! [SV185: set_b,SV164: set_b,SV153: b,SV123: set_b,SV72: b] :
( ( ( ( insert_b @ SV72 @ SV123 )
!= ( insert_b @ SV153 @ SV164 ) )
= $false )
| ( ( SV123 = SV164 )
= $false )
| ( ( SV164
= ( insert_b @ SV72 @ SV185 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV185 ) )
= $false )
| ( ( member_b @ SV153 @ SV185 )
= $true )
| ( ( member_b @ SV72 @ SV185 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2007]) ).
thf(2014,plain,
! [SV185: set_b,SV164: set_b,SV123: set_b,SV153: b,SV72: b] :
( ( ( ~ ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) )
= $false )
| ( ( SV123 = SV164 )
= $false )
| ( ( SV164
= ( insert_b @ SV72 @ SV185 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV185 ) )
= $false )
| ( ( member_b @ SV153 @ SV185 )
= $true )
| ( ( member_b @ SV72 @ SV185 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2007]) ).
thf(2017,plain,
! [SV186: set_b,SV164: set_b,SV153: b,SV123: set_b,SV72: b] :
( ( ( ( insert_b @ SV72 @ SV123 )
!= ( insert_b @ SV153 @ SV164 ) )
= $false )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV164
= ( insert_b @ SV72 @ SV186 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV186 ) )
= $false )
| ( ( member_b @ SV153 @ SV186 )
= $true )
| ( ( member_b @ SV72 @ SV186 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2010]) ).
thf(2018,plain,
! [SV186: set_b,SV164: set_b,SV123: set_b,SV153: b,SV72: b] :
( ( ( ~ ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) )
= $false )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV164
= ( insert_b @ SV72 @ SV186 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV186 ) )
= $false )
| ( ( member_b @ SV153 @ SV186 )
= $true )
| ( ( member_b @ SV72 @ SV186 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2010]) ).
thf(2021,plain,
! [SV185: set_b,SV164: set_b,SV153: b,SV123: set_b,SV72: b] :
( ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $true )
| ( ( SV123 = SV164 )
= $false )
| ( ( SV164
= ( insert_b @ SV72 @ SV185 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV185 ) )
= $false )
| ( ( member_b @ SV153 @ SV185 )
= $true )
| ( ( member_b @ SV72 @ SV185 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2013]) ).
thf(2022,plain,
! [SV185: set_b,SV164: set_b,SV123: set_b,SV153: b,SV72: b] :
( ( ( ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) )
= $true )
| ( ( SV123 = SV164 )
= $false )
| ( ( SV164
= ( insert_b @ SV72 @ SV185 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV185 ) )
= $false )
| ( ( member_b @ SV153 @ SV185 )
= $true )
| ( ( member_b @ SV72 @ SV185 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2014]) ).
thf(2025,plain,
! [SV186: set_b,SV164: set_b,SV153: b,SV123: set_b,SV72: b] :
( ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV164
= ( insert_b @ SV72 @ SV186 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV186 ) )
= $false )
| ( ( member_b @ SV153 @ SV186 )
= $true )
| ( ( member_b @ SV72 @ SV186 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2017]) ).
thf(2026,plain,
! [SV186: set_b,SV164: set_b,SV123: set_b,SV153: b,SV72: b] :
( ( ( ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV164
= ( insert_b @ SV72 @ SV186 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV186 ) )
= $false )
| ( ( member_b @ SV153 @ SV186 )
= $true )
| ( ( member_b @ SV72 @ SV186 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2018]) ).
thf(2028,plain,
! [SV185: set_b,SV164: set_b,SV123: set_b,SV153: b,SV72: b] :
( ( ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) )
= $false )
| ( ( SV123 = SV164 )
= $false )
| ( ( SV164
= ( insert_b @ SV72 @ SV185 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV185 ) )
= $false )
| ( ( member_b @ SV153 @ SV185 )
= $true )
| ( ( member_b @ SV72 @ SV185 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2022]) ).
thf(2030,plain,
! [SV186: set_b,SV164: set_b,SV123: set_b,SV153: b,SV72: b] :
( ( ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) )
= $false )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV164
= ( insert_b @ SV72 @ SV186 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV186 ) )
= $false )
| ( ( member_b @ SV153 @ SV186 )
= $true )
| ( ( member_b @ SV72 @ SV186 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2026]) ).
thf(2034,plain,
! [SV185: set_b,SV164: set_b,SV123: set_b,SV153: b,SV72: b] :
( ( ( ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) )
= $false )
| ( ( SV123 = SV164 )
= $false )
| ( ( SV164
= ( insert_b @ SV72 @ SV185 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV185 ) )
= $false )
| ( ( member_b @ SV153 @ SV185 )
= $true )
| ( ( member_b @ SV72 @ SV185 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2028]) ).
thf(2038,plain,
! [SV186: set_b,SV164: set_b,SV123: set_b,SV153: b,SV72: b] :
( ( ( ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) )
= $false )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV164
= ( insert_b @ SV72 @ SV186 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV186 ) )
= $false )
| ( ( member_b @ SV153 @ SV186 )
= $true )
| ( ( member_b @ SV72 @ SV186 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2030]) ).
thf(2042,plain,
! [SV185: set_b,SV164: set_b,SV123: set_b,SV153: b,SV72: b] :
( ( ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) )
= $true )
| ( ( SV123 = SV164 )
= $false )
| ( ( SV164
= ( insert_b @ SV72 @ SV185 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV185 ) )
= $false )
| ( ( member_b @ SV153 @ SV185 )
= $true )
| ( ( member_b @ SV72 @ SV185 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2034]) ).
thf(2046,plain,
! [SV186: set_b,SV164: set_b,SV123: set_b,SV153: b,SV72: b] :
( ( ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV164
= ( insert_b @ SV72 @ SV186 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV186 ) )
= $false )
| ( ( member_b @ SV153 @ SV186 )
= $true )
| ( ( member_b @ SV72 @ SV186 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2038]) ).
thf(2049,plain,
! [SV185: set_b,SV164: set_b,SV123: set_b,SV153: b,SV72: b] :
( ( ( ~ ( ( SV72 != SV153 ) ) )
= $true )
| ( ( ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) )
= $true )
| ( ( SV123 = SV164 )
= $false )
| ( ( SV164
= ( insert_b @ SV72 @ SV185 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV185 ) )
= $false )
| ( ( member_b @ SV153 @ SV185 )
= $true )
| ( ( member_b @ SV72 @ SV185 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2042]) ).
thf(2052,plain,
! [SV186: set_b,SV164: set_b,SV123: set_b,SV153: b,SV72: b] :
( ( ( ~ ( ( SV72 != SV153 ) ) )
= $true )
| ( ( ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV164
= ( insert_b @ SV72 @ SV186 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV186 ) )
= $false )
| ( ( member_b @ SV153 @ SV186 )
= $true )
| ( ( member_b @ SV72 @ SV186 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2046]) ).
thf(2054,plain,
! [SV185: set_b,SV164: set_b,SV123: set_b,SV153: b,SV72: b] :
( ( ( SV72 != SV153 )
= $false )
| ( ( ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) )
= $true )
| ( ( SV123 = SV164 )
= $false )
| ( ( SV164
= ( insert_b @ SV72 @ SV185 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV185 ) )
= $false )
| ( ( member_b @ SV153 @ SV185 )
= $true )
| ( ( member_b @ SV72 @ SV185 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2049]) ).
thf(2056,plain,
! [SV186: set_b,SV164: set_b,SV123: set_b,SV153: b,SV72: b] :
( ( ( SV72 != SV153 )
= $false )
| ( ( ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV164
= ( insert_b @ SV72 @ SV186 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV186 ) )
= $false )
| ( ( member_b @ SV153 @ SV186 )
= $true )
| ( ( member_b @ SV72 @ SV186 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2052]) ).
thf(2057,plain,
! [SV185: set_b,SV164: set_b,SV123: set_b,SV153: b,SV72: b] :
( ( ( SV72 = SV153 )
= $true )
| ( ( ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) )
= $true )
| ( ( SV123 = SV164 )
= $false )
| ( ( SV164
= ( insert_b @ SV72 @ SV185 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV185 ) )
= $false )
| ( ( member_b @ SV153 @ SV185 )
= $true )
| ( ( member_b @ SV72 @ SV185 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2054]) ).
thf(2058,plain,
! [SV186: set_b,SV164: set_b,SV123: set_b,SV153: b,SV72: b] :
( ( ( SV72 = SV153 )
= $true )
| ( ( ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV164
= ( insert_b @ SV72 @ SV186 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV186 ) )
= $false )
| ( ( member_b @ SV153 @ SV186 )
= $true )
| ( ( member_b @ SV72 @ SV186 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2056]) ).
thf(2059,plain,
! [SV185: set_b,SV72: b,SV164: set_b,SV153: b,SV123: set_b] :
( ( ( ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) )
= $false )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV123 = SV164 )
= $false )
| ( ( SV164
= ( insert_b @ SV72 @ SV185 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV185 ) )
= $false )
| ( ( member_b @ SV153 @ SV185 )
= $true )
| ( ( member_b @ SV72 @ SV185 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2057]) ).
thf(2060,plain,
! [SV186: set_b,SV72: b,SV164: set_b,SV153: b,SV123: set_b] :
( ( ( ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) )
= $false )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV164
= ( insert_b @ SV72 @ SV186 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV186 ) )
= $false )
| ( ( member_b @ SV153 @ SV186 )
= $true )
| ( ( member_b @ SV72 @ SV186 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2058]) ).
thf(2061,plain,
! [SV164: set_b,SV72: b,SV185: set_b,SV153: b,SV123: set_b] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ ( sK28_SY374 @ SV185 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
| ~ ~ ( member_b @ SV153 @ ( sK28_SY374 @ SV185 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
| ( SV164
!= ( insert_b @ SV72 @ ( sK28_SY374 @ SV185 @ SV72 @ SV164 @ SV153 @ SV123 ) ) ) )
| ~ ~ ( member_b @ SV72 @ ( sK28_SY374 @ SV185 @ SV72 @ SV164 @ SV153 @ SV123 ) ) ) )
= $false )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV123 = SV164 )
= $false )
| ( ( SV164
= ( insert_b @ SV72 @ SV185 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV185 ) )
= $false )
| ( ( member_b @ SV153 @ SV185 )
= $true )
| ( ( member_b @ SV72 @ SV185 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2059]) ).
thf(2062,plain,
! [SV164: set_b,SV72: b,SV186: set_b,SV153: b,SV123: set_b] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ ( sK29_SY374 @ SV186 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
| ~ ~ ( member_b @ SV153 @ ( sK29_SY374 @ SV186 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
| ( SV164
!= ( insert_b @ SV72 @ ( sK29_SY374 @ SV186 @ SV72 @ SV164 @ SV153 @ SV123 ) ) ) )
| ~ ~ ( member_b @ SV72 @ ( sK29_SY374 @ SV186 @ SV72 @ SV164 @ SV153 @ SV123 ) ) ) )
= $false )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV164
= ( insert_b @ SV72 @ SV186 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV186 ) )
= $false )
| ( ( member_b @ SV153 @ SV186 )
= $true )
| ( ( member_b @ SV72 @ SV186 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2060]) ).
thf(2063,plain,
! [SV164: set_b,SV72: b,SV185: set_b,SV153: b,SV123: set_b] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ ( sK28_SY374 @ SV185 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
| ~ ~ ( member_b @ SV153 @ ( sK28_SY374 @ SV185 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
| ( SV164
!= ( insert_b @ SV72 @ ( sK28_SY374 @ SV185 @ SV72 @ SV164 @ SV153 @ SV123 ) ) ) )
| ~ ~ ( member_b @ SV72 @ ( sK28_SY374 @ SV185 @ SV72 @ SV164 @ SV153 @ SV123 ) ) ) )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV123 = SV164 )
= $false )
| ( ( SV164
= ( insert_b @ SV72 @ SV185 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV185 ) )
= $false )
| ( ( member_b @ SV153 @ SV185 )
= $true )
| ( ( member_b @ SV72 @ SV185 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2061]) ).
thf(2064,plain,
! [SV164: set_b,SV72: b,SV186: set_b,SV153: b,SV123: set_b] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ ( sK29_SY374 @ SV186 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
| ~ ~ ( member_b @ SV153 @ ( sK29_SY374 @ SV186 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
| ( SV164
!= ( insert_b @ SV72 @ ( sK29_SY374 @ SV186 @ SV72 @ SV164 @ SV153 @ SV123 ) ) ) )
| ~ ~ ( member_b @ SV72 @ ( sK29_SY374 @ SV186 @ SV72 @ SV164 @ SV153 @ SV123 ) ) ) )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV164
= ( insert_b @ SV72 @ SV186 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV186 ) )
= $false )
| ( ( member_b @ SV153 @ SV186 )
= $true )
| ( ( member_b @ SV72 @ SV186 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2062]) ).
thf(2065,plain,
! [SV164: set_b,SV72: b,SV185: set_b,SV153: b,SV123: set_b] :
( ( ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ ( sK28_SY374 @ SV185 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
| ~ ~ ( member_b @ SV153 @ ( sK28_SY374 @ SV185 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
| ( SV164
!= ( insert_b @ SV72 @ ( sK28_SY374 @ SV185 @ SV72 @ SV164 @ SV153 @ SV123 ) ) ) )
| ~ ~ ( member_b @ SV72 @ ( sK28_SY374 @ SV185 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
= $false )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV123 = SV164 )
= $false )
| ( ( SV164
= ( insert_b @ SV72 @ SV185 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV185 ) )
= $false )
| ( ( member_b @ SV153 @ SV185 )
= $true )
| ( ( member_b @ SV72 @ SV185 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2063]) ).
thf(2066,plain,
! [SV164: set_b,SV72: b,SV186: set_b,SV153: b,SV123: set_b] :
( ( ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ ( sK29_SY374 @ SV186 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
| ~ ~ ( member_b @ SV153 @ ( sK29_SY374 @ SV186 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
| ( SV164
!= ( insert_b @ SV72 @ ( sK29_SY374 @ SV186 @ SV72 @ SV164 @ SV153 @ SV123 ) ) ) )
| ~ ~ ( member_b @ SV72 @ ( sK29_SY374 @ SV186 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
= $false )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV164
= ( insert_b @ SV72 @ SV186 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV186 ) )
= $false )
| ( ( member_b @ SV153 @ SV186 )
= $true )
| ( ( member_b @ SV72 @ SV186 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2064]) ).
thf(2067,plain,
! [SV164: set_b,SV72: b,SV185: set_b,SV153: b,SV123: set_b] :
( ( ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ ( sK28_SY374 @ SV185 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
| ~ ~ ( member_b @ SV153 @ ( sK28_SY374 @ SV185 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
| ( SV164
!= ( insert_b @ SV72 @ ( sK28_SY374 @ SV185 @ SV72 @ SV164 @ SV153 @ SV123 ) ) ) ) )
= $false )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV123 = SV164 )
= $false )
| ( ( SV164
= ( insert_b @ SV72 @ SV185 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV185 ) )
= $false )
| ( ( member_b @ SV153 @ SV185 )
= $true )
| ( ( member_b @ SV72 @ SV185 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2065]) ).
thf(2068,plain,
! [SV123: set_b,SV153: b,SV164: set_b,SV185: set_b,SV72: b] :
( ( ( ~ ~ ( member_b @ SV72 @ ( sK28_SY374 @ SV185 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
= $false )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV123 = SV164 )
= $false )
| ( ( SV164
= ( insert_b @ SV72 @ SV185 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV185 ) )
= $false )
| ( ( member_b @ SV153 @ SV185 )
= $true )
| ( ( member_b @ SV72 @ SV185 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2065]) ).
thf(2069,plain,
! [SV164: set_b,SV72: b,SV186: set_b,SV153: b,SV123: set_b] :
( ( ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ ( sK29_SY374 @ SV186 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
| ~ ~ ( member_b @ SV153 @ ( sK29_SY374 @ SV186 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
| ( SV164
!= ( insert_b @ SV72 @ ( sK29_SY374 @ SV186 @ SV72 @ SV164 @ SV153 @ SV123 ) ) ) ) )
= $false )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV164
= ( insert_b @ SV72 @ SV186 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV186 ) )
= $false )
| ( ( member_b @ SV153 @ SV186 )
= $true )
| ( ( member_b @ SV72 @ SV186 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2066]) ).
thf(2070,plain,
! [SV123: set_b,SV153: b,SV164: set_b,SV186: set_b,SV72: b] :
( ( ( ~ ~ ( member_b @ SV72 @ ( sK29_SY374 @ SV186 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
= $false )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV164
= ( insert_b @ SV72 @ SV186 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV186 ) )
= $false )
| ( ( member_b @ SV153 @ SV186 )
= $true )
| ( ( member_b @ SV72 @ SV186 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2066]) ).
thf(2071,plain,
! [SV164: set_b,SV72: b,SV185: set_b,SV153: b,SV123: set_b] :
( ( ( ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ ( sK28_SY374 @ SV185 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
| ~ ~ ( member_b @ SV153 @ ( sK28_SY374 @ SV185 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
| ( SV164
!= ( insert_b @ SV72 @ ( sK28_SY374 @ SV185 @ SV72 @ SV164 @ SV153 @ SV123 ) ) ) ) )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV123 = SV164 )
= $false )
| ( ( SV164
= ( insert_b @ SV72 @ SV185 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV185 ) )
= $false )
| ( ( member_b @ SV153 @ SV185 )
= $true )
| ( ( member_b @ SV72 @ SV185 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2067]) ).
thf(2072,plain,
! [SV123: set_b,SV153: b,SV164: set_b,SV185: set_b,SV72: b] :
( ( ( ~ ( member_b @ SV72 @ ( sK28_SY374 @ SV185 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV123 = SV164 )
= $false )
| ( ( SV164
= ( insert_b @ SV72 @ SV185 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV185 ) )
= $false )
| ( ( member_b @ SV153 @ SV185 )
= $true )
| ( ( member_b @ SV72 @ SV185 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2068]) ).
thf(2073,plain,
! [SV164: set_b,SV72: b,SV186: set_b,SV153: b,SV123: set_b] :
( ( ( ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ ( sK29_SY374 @ SV186 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
| ~ ~ ( member_b @ SV153 @ ( sK29_SY374 @ SV186 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
| ( SV164
!= ( insert_b @ SV72 @ ( sK29_SY374 @ SV186 @ SV72 @ SV164 @ SV153 @ SV123 ) ) ) ) )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV164
= ( insert_b @ SV72 @ SV186 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV186 ) )
= $false )
| ( ( member_b @ SV153 @ SV186 )
= $true )
| ( ( member_b @ SV72 @ SV186 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2069]) ).
thf(2074,plain,
! [SV123: set_b,SV153: b,SV164: set_b,SV186: set_b,SV72: b] :
( ( ( ~ ( member_b @ SV72 @ ( sK29_SY374 @ SV186 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV164
= ( insert_b @ SV72 @ SV186 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV186 ) )
= $false )
| ( ( member_b @ SV153 @ SV186 )
= $true )
| ( ( member_b @ SV72 @ SV186 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2070]) ).
thf(2075,plain,
! [SV164: set_b,SV72: b,SV185: set_b,SV153: b,SV123: set_b] :
( ( ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ ( sK28_SY374 @ SV185 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
| ~ ~ ( member_b @ SV153 @ ( sK28_SY374 @ SV185 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
| ( SV164
!= ( insert_b @ SV72 @ ( sK28_SY374 @ SV185 @ SV72 @ SV164 @ SV153 @ SV123 ) ) ) )
= $false )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV123 = SV164 )
= $false )
| ( ( SV164
= ( insert_b @ SV72 @ SV185 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV185 ) )
= $false )
| ( ( member_b @ SV153 @ SV185 )
= $true )
| ( ( member_b @ SV72 @ SV185 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2071]) ).
thf(2076,plain,
! [SV123: set_b,SV153: b,SV164: set_b,SV185: set_b,SV72: b] :
( ( ( member_b @ SV72 @ ( sK28_SY374 @ SV185 @ SV72 @ SV164 @ SV153 @ SV123 ) )
= $false )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV123 = SV164 )
= $false )
| ( ( SV164
= ( insert_b @ SV72 @ SV185 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV185 ) )
= $false )
| ( ( member_b @ SV153 @ SV185 )
= $true )
| ( ( member_b @ SV72 @ SV185 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2072]) ).
thf(2077,plain,
! [SV164: set_b,SV72: b,SV186: set_b,SV153: b,SV123: set_b] :
( ( ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ ( sK29_SY374 @ SV186 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
| ~ ~ ( member_b @ SV153 @ ( sK29_SY374 @ SV186 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
| ( SV164
!= ( insert_b @ SV72 @ ( sK29_SY374 @ SV186 @ SV72 @ SV164 @ SV153 @ SV123 ) ) ) )
= $false )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV164
= ( insert_b @ SV72 @ SV186 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV186 ) )
= $false )
| ( ( member_b @ SV153 @ SV186 )
= $true )
| ( ( member_b @ SV72 @ SV186 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2073]) ).
thf(2078,plain,
! [SV123: set_b,SV153: b,SV164: set_b,SV186: set_b,SV72: b] :
( ( ( member_b @ SV72 @ ( sK29_SY374 @ SV186 @ SV72 @ SV164 @ SV153 @ SV123 ) )
= $false )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV164
= ( insert_b @ SV72 @ SV186 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV186 ) )
= $false )
| ( ( member_b @ SV153 @ SV186 )
= $true )
| ( ( member_b @ SV72 @ SV186 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2074]) ).
thf(2079,plain,
! [SV164: set_b,SV72: b,SV185: set_b,SV153: b,SV123: set_b] :
( ( ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ ( sK28_SY374 @ SV185 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
| ~ ~ ( member_b @ SV153 @ ( sK28_SY374 @ SV185 @ SV72 @ SV164 @ SV153 @ SV123 ) ) ) )
= $false )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV123 = SV164 )
= $false )
| ( ( SV164
= ( insert_b @ SV72 @ SV185 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV185 ) )
= $false )
| ( ( member_b @ SV153 @ SV185 )
= $true )
| ( ( member_b @ SV72 @ SV185 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2075]) ).
thf(2080,plain,
! [SV123: set_b,SV153: b,SV185: set_b,SV72: b,SV164: set_b] :
( ( ( SV164
!= ( insert_b @ SV72 @ ( sK28_SY374 @ SV185 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
= $false )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV123 = SV164 )
= $false )
| ( ( SV164
= ( insert_b @ SV72 @ SV185 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV185 ) )
= $false )
| ( ( member_b @ SV153 @ SV185 )
= $true )
| ( ( member_b @ SV72 @ SV185 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2075]) ).
thf(2081,plain,
! [SV164: set_b,SV72: b,SV186: set_b,SV153: b,SV123: set_b] :
( ( ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ ( sK29_SY374 @ SV186 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
| ~ ~ ( member_b @ SV153 @ ( sK29_SY374 @ SV186 @ SV72 @ SV164 @ SV153 @ SV123 ) ) ) )
= $false )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV164
= ( insert_b @ SV72 @ SV186 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV186 ) )
= $false )
| ( ( member_b @ SV153 @ SV186 )
= $true )
| ( ( member_b @ SV72 @ SV186 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2077]) ).
thf(2082,plain,
! [SV123: set_b,SV153: b,SV186: set_b,SV72: b,SV164: set_b] :
( ( ( SV164
!= ( insert_b @ SV72 @ ( sK29_SY374 @ SV186 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
= $false )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV164
= ( insert_b @ SV72 @ SV186 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV186 ) )
= $false )
| ( ( member_b @ SV153 @ SV186 )
= $true )
| ( ( member_b @ SV72 @ SV186 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2077]) ).
thf(2083,plain,
! [SV164: set_b,SV72: b,SV185: set_b,SV153: b,SV123: set_b] :
( ( ( ~ ( ( SV123
!= ( insert_b @ SV153 @ ( sK28_SY374 @ SV185 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
| ~ ~ ( member_b @ SV153 @ ( sK28_SY374 @ SV185 @ SV72 @ SV164 @ SV153 @ SV123 ) ) ) )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV123 = SV164 )
= $false )
| ( ( SV164
= ( insert_b @ SV72 @ SV185 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV185 ) )
= $false )
| ( ( member_b @ SV153 @ SV185 )
= $true )
| ( ( member_b @ SV72 @ SV185 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2079]) ).
thf(2084,plain,
! [SV123: set_b,SV153: b,SV185: set_b,SV72: b,SV164: set_b] :
( ( ( SV164
= ( insert_b @ SV72 @ ( sK28_SY374 @ SV185 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV123 = SV164 )
= $false )
| ( ( SV164
= ( insert_b @ SV72 @ SV185 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV185 ) )
= $false )
| ( ( member_b @ SV153 @ SV185 )
= $true )
| ( ( member_b @ SV72 @ SV185 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2080]) ).
thf(2085,plain,
! [SV164: set_b,SV72: b,SV186: set_b,SV153: b,SV123: set_b] :
( ( ( ~ ( ( SV123
!= ( insert_b @ SV153 @ ( sK29_SY374 @ SV186 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
| ~ ~ ( member_b @ SV153 @ ( sK29_SY374 @ SV186 @ SV72 @ SV164 @ SV153 @ SV123 ) ) ) )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV164
= ( insert_b @ SV72 @ SV186 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV186 ) )
= $false )
| ( ( member_b @ SV153 @ SV186 )
= $true )
| ( ( member_b @ SV72 @ SV186 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2081]) ).
thf(2086,plain,
! [SV123: set_b,SV153: b,SV186: set_b,SV72: b,SV164: set_b] :
( ( ( SV164
= ( insert_b @ SV72 @ ( sK29_SY374 @ SV186 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV164
= ( insert_b @ SV72 @ SV186 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV186 ) )
= $false )
| ( ( member_b @ SV153 @ SV186 )
= $true )
| ( ( member_b @ SV72 @ SV186 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2082]) ).
thf(2087,plain,
! [SV164: set_b,SV72: b,SV185: set_b,SV153: b,SV123: set_b] :
( ( ( ( SV123
!= ( insert_b @ SV153 @ ( sK28_SY374 @ SV185 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
| ~ ~ ( member_b @ SV153 @ ( sK28_SY374 @ SV185 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
= $false )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV123 = SV164 )
= $false )
| ( ( SV164
= ( insert_b @ SV72 @ SV185 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV185 ) )
= $false )
| ( ( member_b @ SV153 @ SV185 )
= $true )
| ( ( member_b @ SV72 @ SV185 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2083]) ).
thf(2088,plain,
! [SV164: set_b,SV72: b,SV186: set_b,SV153: b,SV123: set_b] :
( ( ( ( SV123
!= ( insert_b @ SV153 @ ( sK29_SY374 @ SV186 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
| ~ ~ ( member_b @ SV153 @ ( sK29_SY374 @ SV186 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
= $false )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV164
= ( insert_b @ SV72 @ SV186 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV186 ) )
= $false )
| ( ( member_b @ SV153 @ SV186 )
= $true )
| ( ( member_b @ SV72 @ SV186 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2085]) ).
thf(2089,plain,
! [SV164: set_b,SV72: b,SV185: set_b,SV153: b,SV123: set_b] :
( ( ( SV123
!= ( insert_b @ SV153 @ ( sK28_SY374 @ SV185 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
= $false )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV123 = SV164 )
= $false )
| ( ( SV164
= ( insert_b @ SV72 @ SV185 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV185 ) )
= $false )
| ( ( member_b @ SV153 @ SV185 )
= $true )
| ( ( member_b @ SV72 @ SV185 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2087]) ).
thf(2090,plain,
! [SV123: set_b,SV164: set_b,SV72: b,SV185: set_b,SV153: b] :
( ( ( ~ ~ ( member_b @ SV153 @ ( sK28_SY374 @ SV185 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
= $false )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV123 = SV164 )
= $false )
| ( ( SV164
= ( insert_b @ SV72 @ SV185 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV185 ) )
= $false )
| ( ( member_b @ SV153 @ SV185 )
= $true )
| ( ( member_b @ SV72 @ SV185 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2087]) ).
thf(2091,plain,
! [SV164: set_b,SV72: b,SV186: set_b,SV153: b,SV123: set_b] :
( ( ( SV123
!= ( insert_b @ SV153 @ ( sK29_SY374 @ SV186 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
= $false )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV164
= ( insert_b @ SV72 @ SV186 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV186 ) )
= $false )
| ( ( member_b @ SV153 @ SV186 )
= $true )
| ( ( member_b @ SV72 @ SV186 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2088]) ).
thf(2092,plain,
! [SV123: set_b,SV164: set_b,SV72: b,SV186: set_b,SV153: b] :
( ( ( ~ ~ ( member_b @ SV153 @ ( sK29_SY374 @ SV186 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
= $false )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV164
= ( insert_b @ SV72 @ SV186 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV186 ) )
= $false )
| ( ( member_b @ SV153 @ SV186 )
= $true )
| ( ( member_b @ SV72 @ SV186 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2088]) ).
thf(2093,plain,
! [SV164: set_b,SV72: b,SV185: set_b,SV153: b,SV123: set_b] :
( ( ( SV123
= ( insert_b @ SV153 @ ( sK28_SY374 @ SV185 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV123 = SV164 )
= $false )
| ( ( SV164
= ( insert_b @ SV72 @ SV185 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV185 ) )
= $false )
| ( ( member_b @ SV153 @ SV185 )
= $true )
| ( ( member_b @ SV72 @ SV185 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2089]) ).
thf(2094,plain,
! [SV123: set_b,SV164: set_b,SV72: b,SV185: set_b,SV153: b] :
( ( ( ~ ( member_b @ SV153 @ ( sK28_SY374 @ SV185 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV123 = SV164 )
= $false )
| ( ( SV164
= ( insert_b @ SV72 @ SV185 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV185 ) )
= $false )
| ( ( member_b @ SV153 @ SV185 )
= $true )
| ( ( member_b @ SV72 @ SV185 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2090]) ).
thf(2095,plain,
! [SV164: set_b,SV72: b,SV186: set_b,SV153: b,SV123: set_b] :
( ( ( SV123
= ( insert_b @ SV153 @ ( sK29_SY374 @ SV186 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV164
= ( insert_b @ SV72 @ SV186 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV186 ) )
= $false )
| ( ( member_b @ SV153 @ SV186 )
= $true )
| ( ( member_b @ SV72 @ SV186 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2091]) ).
thf(2096,plain,
! [SV123: set_b,SV164: set_b,SV72: b,SV186: set_b,SV153: b] :
( ( ( ~ ( member_b @ SV153 @ ( sK29_SY374 @ SV186 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV164
= ( insert_b @ SV72 @ SV186 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV186 ) )
= $false )
| ( ( member_b @ SV153 @ SV186 )
= $true )
| ( ( member_b @ SV72 @ SV186 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2092]) ).
thf(2097,plain,
! [SV123: set_b,SV164: set_b,SV72: b,SV185: set_b,SV153: b] :
( ( ( member_b @ SV153 @ ( sK28_SY374 @ SV185 @ SV72 @ SV164 @ SV153 @ SV123 ) )
= $false )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV123 = SV164 )
= $false )
| ( ( SV164
= ( insert_b @ SV72 @ SV185 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV185 ) )
= $false )
| ( ( member_b @ SV153 @ SV185 )
= $true )
| ( ( member_b @ SV72 @ SV185 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2094]) ).
thf(2098,plain,
! [SV123: set_b,SV164: set_b,SV72: b,SV186: set_b,SV153: b] :
( ( ( member_b @ SV153 @ ( sK29_SY374 @ SV186 @ SV72 @ SV164 @ SV153 @ SV123 ) )
= $false )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV164
= ( insert_b @ SV72 @ SV186 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV186 ) )
= $false )
| ( ( member_b @ SV153 @ SV186 )
= $true )
| ( ( member_b @ SV72 @ SV186 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2096]) ).
thf(2099,plain,
! [SV8: b] :
( ( ~ ~ ! [SY378: b] : ( SY378 != SV8 )
| ( ( hilbert_Eps_b
@ ^ [SY205: b] : ( SY205 = SV8 ) )
= SV8 ) )
= $true ),
inference(choice,[status(thm)],[589]) ).
thf(2100,plain,
! [SV188: b] :
( ( ~ ~ ! [SX0: b] : ( SX0 != SV188 )
| ( ( hilbert_Eps_b
@ ^ [SX0: b] : ( SX0 = SV188 ) )
= SV188 ) )
= $true ),
inference(rename,[status(thm)],[2099]) ).
thf(2101,plain,
! [SV15: b] :
( ( ~ ~ ! [SY380: b] : ( SV15 != SY380 )
| ( SV15
= ( hilbert_Eps_b
@ ^ [SY212: b] : ( SV15 = SY212 ) ) ) )
= $true ),
inference(choice,[status(thm)],[596]) ).
thf(2102,plain,
! [SV190: b] :
( ( ~ ~ ! [SX0: b] : ( SV190 != SX0 )
| ( SV190
= ( hilbert_Eps_b
@ ^ [SX0: b] : ( SV190 = SX0 ) ) ) )
= $true ),
inference(rename,[status(thm)],[2101]) ).
thf(2103,plain,
( ( ~ ~ ! [SY382: b] :
~ ( member_b @ SY382 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) ) )
| ( member_b
@ ( hilbert_Eps_b
@ ^ [Y: b] : ( member_b @ Y @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) ) ) )
@ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) ) ) )
= $true ),
inference(choice,[status(thm)],[622]) ).
thf(2104,plain,
( ( ~ ~ ! [SY384: b] :
~ ( member_b @ SY384 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ y @ bot_bot_set_b ) ) )
| ( member_b
@ ( hilbert_Eps_b
@ ^ [Y: b] : ( member_b @ Y @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ y @ bot_bot_set_b ) ) ) )
@ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ y @ bot_bot_set_b ) ) ) )
= $true ),
inference(choice,[status(thm)],[622]) ).
thf(2105,plain,
! [SV58: b > $o] :
( ( ~ ~ ! [SV193: b] :
~ ( SV58 @ SV193 )
| ( SV58 @ ( hilbert_Eps_b @ SV58 ) ) )
= $true ),
inference(choice,[status(thm)],[726]) ).
thf(2106,plain,
! [SV194: b > $o] :
( ( ~ ~ ! [SX0: b] :
~ ( SV194 @ SX0 )
| ( SV194 @ ( hilbert_Eps_b @ SV194 ) ) )
= $true ),
inference(rename,[status(thm)],[2105]) ).
thf(2107,plain,
! [SV70: set_b] :
( ( ~ ~ ! [SY387: b] :
~ ( member_b @ SY387 @ SV70 )
| ( member_b
@ ( hilbert_Eps_b
@ ^ [SY283: b] : ( member_b @ SY283 @ SV70 ) )
@ SV70 ) )
= $true ),
inference(choice,[status(thm)],[740]) ).
thf(2108,plain,
! [SV196: set_b] :
( ( ~ ~ ! [SX0: b] :
~ ( member_b @ SX0 @ SV196 )
| ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] : ( member_b @ SX0 @ SV196 ) )
@ SV196 ) )
= $true ),
inference(rename,[status(thm)],[2107]) ).
thf(2109,plain,
! [SV43: b] :
( ( ~ ~ ! [SV197: b] :
~ ( p @ ( hilbert_Eps_b @ ( p @ SV43 ) ) @ SV197 )
| ( p @ ( hilbert_Eps_b @ ( p @ SV43 ) ) @ ( hilbert_Eps_b @ ( p @ ( hilbert_Eps_b @ ( p @ SV43 ) ) ) ) ) )
= $true ),
inference(choice,[status(thm)],[860]) ).
thf(2110,plain,
! [SV198: b] :
( ( ~ ~ ! [SX0: b] :
~ ( p @ ( hilbert_Eps_b @ ( p @ SV198 ) ) @ SX0 )
| ( p @ ( hilbert_Eps_b @ ( p @ SV198 ) ) @ ( hilbert_Eps_b @ ( p @ ( hilbert_Eps_b @ ( p @ SV198 ) ) ) ) ) )
= $true ),
inference(rename,[status(thm)],[2109]) ).
thf(2111,plain,
! [SV43: b] :
( ( ~ ~ ! [SV199: b] :
~ ( p @ SV43 @ SV199 )
| ( p @ SV43 @ ( hilbert_Eps_b @ ( p @ SV43 ) ) ) )
= $true ),
inference(choice,[status(thm)],[860]) ).
thf(2112,plain,
! [SV200: b] :
( ( ~ ~ ! [SX0: b] :
~ ( p @ SV200 @ SX0 )
| ( p @ SV200 @ ( hilbert_Eps_b @ ( p @ SV200 ) ) ) )
= $true ),
inference(rename,[status(thm)],[2111]) ).
thf(2113,plain,
! [SV43: b] :
( ( ~ ~ ! [SV201: b] :
~ ( p @ SV43 @ SV201 )
| ( p @ SV43 @ ( hilbert_Eps_b @ ( p @ SV43 ) ) ) )
= $true ),
inference(choice,[status(thm)],[860]) ).
thf(2114,plain,
! [SV202: b] :
( ( ~ ~ ! [SX0: b] :
~ ( p @ SV202 @ SX0 )
| ( p @ SV202 @ ( hilbert_Eps_b @ ( p @ SV202 ) ) ) )
= $true ),
inference(rename,[status(thm)],[2113]) ).
thf(2115,plain,
! [SV78: b > $o] :
( ( ~ ~ ! [SV203: b] :
~ ( SV78 @ SV203 )
| ( SV78 @ ( hilbert_Eps_b @ SV78 ) ) )
= $true ),
inference(choice,[status(thm)],[1044]) ).
thf(2116,plain,
! [SV204: b > $o] :
( ( ~ ~ ! [SX0: b] :
~ ( SV204 @ SX0 )
| ( SV204 @ ( hilbert_Eps_b @ SV204 ) ) )
= $true ),
inference(rename,[status(thm)],[2115]) ).
thf(2117,plain,
! [SV129: b > $o] :
( ( ~ ~ ! [SV205: b] :
~ ( SV129 @ SV205 )
| ( SV129 @ ( hilbert_Eps_b @ SV129 ) ) )
= $true ),
inference(choice,[status(thm)],[1044]) ).
thf(2118,plain,
! [SV206: b > $o] :
( ( ~ ~ ! [SX0: b] :
~ ( SV206 @ SX0 )
| ( SV206 @ ( hilbert_Eps_b @ SV206 ) ) )
= $true ),
inference(rename,[status(thm)],[2117]) ).
thf(2119,plain,
! [SV74: b > $o] :
( ( ~ ~ ! [SV207: b] :
~ ( SV74 @ SV207 )
| ( SV74 @ ( hilbert_Eps_b @ SV74 ) ) )
= $true ),
inference(choice,[status(thm)],[1129]) ).
thf(2120,plain,
! [SV208: b > $o] :
( ( ~ ~ ! [SX0: b] :
~ ( SV208 @ SX0 )
| ( SV208 @ ( hilbert_Eps_b @ SV208 ) ) )
= $true ),
inference(rename,[status(thm)],[2119]) ).
thf(2121,plain,
! [SV58: b > $o] :
( ( ~ ~ ! [SV209: b] :
~ ( SV58 @ SV209 )
| ( SV58 @ ( hilbert_Eps_b @ SV58 ) ) )
= $true ),
inference(choice,[status(thm)],[1212]) ).
thf(2122,plain,
! [SV210: b > $o] :
( ( ~ ~ ! [SX0: b] :
~ ( SV210 @ SX0 )
| ( SV210 @ ( hilbert_Eps_b @ SV210 ) ) )
= $true ),
inference(rename,[status(thm)],[2121]) ).
thf(2123,plain,
! [SV58: b > $o] :
( ( ~ ~ ! [SV211: b] :
~ ( SV58 @ SV211 )
| ( SV58 @ ( hilbert_Eps_b @ SV58 ) ) )
= $true ),
inference(choice,[status(thm)],[1212]) ).
thf(2124,plain,
! [SV212: b > $o] :
( ( ~ ~ ! [SX0: b] :
~ ( SV212 @ SX0 )
| ( SV212 @ ( hilbert_Eps_b @ SV212 ) ) )
= $true ),
inference(rename,[status(thm)],[2123]) ).
thf(2125,plain,
! [SV60: b > $o] :
( ( ~ ~ ! [SV213: b] :
~ ( SV60 @ SV213 )
| ( SV60 @ ( hilbert_Eps_b @ SV60 ) ) )
= $true ),
inference(choice,[status(thm)],[1218]) ).
thf(2126,plain,
! [SV214: b > $o] :
( ( ~ ~ ! [SX0: b] :
~ ( SV214 @ SX0 )
| ( SV214 @ ( hilbert_Eps_b @ SV214 ) ) )
= $true ),
inference(rename,[status(thm)],[2125]) ).
thf(2127,plain,
! [SV70: set_b] :
( ( ~ ~ ! [SY398: b] :
~ ( member_b @ SY398 @ SV70 )
| ( member_b
@ ( hilbert_Eps_b
@ ^ [SY283: b] : ( member_b @ SY283 @ SV70 ) )
@ SV70 ) )
= $true ),
inference(choice,[status(thm)],[1228]) ).
thf(2128,plain,
! [SV216: set_b] :
( ( ~ ~ ! [SX0: b] :
~ ( member_b @ SX0 @ SV216 )
| ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] : ( member_b @ SX0 @ SV216 ) )
@ SV216 ) )
= $true ),
inference(rename,[status(thm)],[2127]) ).
thf(2129,plain,
! [SV70: set_b] :
( ( ~ ~ ! [SY400: b] :
~ ( member_b @ SY400 @ SV70 )
| ( member_b
@ ( hilbert_Eps_b
@ ^ [SY283: b] : ( member_b @ SY283 @ SV70 ) )
@ SV70 ) )
= $true ),
inference(choice,[status(thm)],[1228]) ).
thf(2130,plain,
! [SV218: set_b] :
( ( ~ ~ ! [SX0: b] :
~ ( member_b @ SX0 @ SV218 )
| ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] : ( member_b @ SX0 @ SV218 ) )
@ SV218 ) )
= $true ),
inference(rename,[status(thm)],[2129]) ).
thf(2131,plain,
! [SV51: b > $o] :
( ( ~ ~ ! [SV219: b] :
~ ( SV51 @ SV219 )
| ( SV51 @ ( hilbert_Eps_b @ SV51 ) ) )
= $true ),
inference(choice,[status(thm)],[1307]) ).
thf(2132,plain,
! [SV220: b > $o] :
( ( ~ ~ ! [SX0: b] :
~ ( SV220 @ SX0 )
| ( SV220 @ ( hilbert_Eps_b @ SV220 ) ) )
= $true ),
inference(rename,[status(thm)],[2131]) ).
thf(2133,plain,
! [SV60: b > $o] :
( ( ~ ~ ! [SV221: b] :
~ ( SV60 @ SV221 )
| ( SV60 @ ( hilbert_Eps_b @ SV60 ) ) )
= $true ),
inference(choice,[status(thm)],[1323]) ).
thf(2134,plain,
! [SV222: b > $o] :
( ( ~ ~ ! [SX0: b] :
~ ( SV222 @ SX0 )
| ( SV222 @ ( hilbert_Eps_b @ SV222 ) ) )
= $true ),
inference(rename,[status(thm)],[2133]) ).
thf(2135,plain,
! [SV70: set_b] :
( ( ~ ~ ! [SY404: b] :
~ ( member_b @ SY404 @ SV70 )
| ( member_b
@ ( hilbert_Eps_b
@ ^ [SY283: b] : ( member_b @ SY283 @ SV70 ) )
@ SV70 ) )
= $true ),
inference(choice,[status(thm)],[1332]) ).
thf(2136,plain,
! [SV224: set_b] :
( ( ~ ~ ! [SX0: b] :
~ ( member_b @ SX0 @ SV224 )
| ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] : ( member_b @ SX0 @ SV224 ) )
@ SV224 ) )
= $true ),
inference(rename,[status(thm)],[2135]) ).
thf(2137,plain,
! [SV70: set_b] :
( ( ~ ~ ! [SY406: b] :
~ ( member_b @ SY406 @ SV70 )
| ( member_b
@ ( hilbert_Eps_b
@ ^ [SY283: b] : ( member_b @ SY283 @ SV70 ) )
@ SV70 ) )
= $true ),
inference(choice,[status(thm)],[1333]) ).
thf(2138,plain,
! [SV226: set_b] :
( ( ~ ~ ! [SX0: b] :
~ ( member_b @ SX0 @ SV226 )
| ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] : ( member_b @ SX0 @ SV226 ) )
@ SV226 ) )
= $true ),
inference(rename,[status(thm)],[2137]) ).
thf(2139,plain,
! [SV78: b > $o] :
( ( ~ ~ ! [SV227: b] :
~ ( SV78 @ SV227 )
| ( SV78 @ ( hilbert_Eps_b @ SV78 ) ) )
= $true ),
inference(choice,[status(thm)],[1336]) ).
thf(2140,plain,
! [SV228: b > $o] :
( ( ~ ~ ! [SX0: b] :
~ ( SV228 @ SX0 )
| ( SV228 @ ( hilbert_Eps_b @ SV228 ) ) )
= $true ),
inference(rename,[status(thm)],[2139]) ).
thf(2141,plain,
! [SV129: b > $o] :
( ( ~ ~ ! [SV229: b] :
~ ( SV129 @ SV229 )
| ( SV129 @ ( hilbert_Eps_b @ SV129 ) ) )
= $true ),
inference(choice,[status(thm)],[1336]) ).
thf(2142,plain,
! [SV230: b > $o] :
( ( ~ ~ ! [SX0: b] :
~ ( SV230 @ SX0 )
| ( SV230 @ ( hilbert_Eps_b @ SV230 ) ) )
= $true ),
inference(rename,[status(thm)],[2141]) ).
thf(2143,plain,
! [SV51: b > $o] :
( ( ~ ~ ! [SV231: b] :
~ ( SV51 @ SV231 )
| ( SV51 @ ( hilbert_Eps_b @ SV51 ) ) )
= $true ),
inference(choice,[status(thm)],[1413]) ).
thf(2144,plain,
! [SV232: b > $o] :
( ( ~ ~ ! [SX0: b] :
~ ( SV232 @ SX0 )
| ( SV232 @ ( hilbert_Eps_b @ SV232 ) ) )
= $true ),
inference(rename,[status(thm)],[2143]) ).
thf(2145,plain,
! [SV58: b > $o] :
( ( ~ ~ ! [SV233: b] :
~ ( SV58 @ SV233 )
| ( SV58 @ ( hilbert_Eps_b @ SV58 ) ) )
= $true ),
inference(choice,[status(thm)],[1490]) ).
thf(2146,plain,
! [SV234: b > $o] :
( ( ~ ~ ! [SX0: b] :
~ ( SV234 @ SX0 )
| ( SV234 @ ( hilbert_Eps_b @ SV234 ) ) )
= $true ),
inference(rename,[status(thm)],[2145]) ).
thf(2147,plain,
! [SV68: b > $o] :
( ( ~ ~ ! [SV235: b] :
~ ( SV68 @ SV235 )
| ( SV68 @ ( hilbert_Eps_b @ SV68 ) ) )
= $true ),
inference(choice,[status(thm)],[1504]) ).
thf(2148,plain,
! [SV236: b > $o] :
( ( ~ ~ ! [SX0: b] :
~ ( SV236 @ SX0 )
| ( SV236 @ ( hilbert_Eps_b @ SV236 ) ) )
= $true ),
inference(rename,[status(thm)],[2147]) ).
thf(2149,plain,
! [SV78: b > $o] :
( ( ~ ~ ! [SV237: b] :
~ ( SV78 @ SV237 )
| ( SV78 @ ( hilbert_Eps_b @ SV78 ) ) )
= $true ),
inference(choice,[status(thm)],[1507]) ).
thf(2150,plain,
! [SV238: b > $o] :
( ( ~ ~ ! [SX0: b] :
~ ( SV238 @ SX0 )
| ( SV238 @ ( hilbert_Eps_b @ SV238 ) ) )
= $true ),
inference(rename,[status(thm)],[2149]) ).
thf(2151,plain,
! [SV129: b > $o] :
( ( ~ ~ ! [SV239: b] :
~ ( SV129 @ SV239 )
| ( SV129 @ ( hilbert_Eps_b @ SV129 ) ) )
= $true ),
inference(choice,[status(thm)],[1507]) ).
thf(2152,plain,
! [SV240: b > $o] :
( ( ~ ~ ! [SX0: b] :
~ ( SV240 @ SX0 )
| ( SV240 @ ( hilbert_Eps_b @ SV240 ) ) )
= $true ),
inference(rename,[status(thm)],[2151]) ).
thf(2153,plain,
! [SV68: b > $o] :
( ( ~ ~ ! [SV241: b] :
~ ( SV68 @ SV241 )
| ( SV68 @ ( hilbert_Eps_b @ SV68 ) ) )
= $true ),
inference(choice,[status(thm)],[1559]) ).
thf(2154,plain,
! [SV242: b > $o] :
( ( ~ ~ ! [SX0: b] :
~ ( SV242 @ SX0 )
| ( SV242 @ ( hilbert_Eps_b @ SV242 ) ) )
= $true ),
inference(rename,[status(thm)],[2153]) ).
thf(2155,plain,
! [SV62: b > $o] :
( ( ~ ~ ! [SV243: b] :
~ ( SV62 @ SV243 )
| ( SV62 @ ( hilbert_Eps_b @ SV62 ) ) )
= $true ),
inference(choice,[status(thm)],[1744]) ).
thf(2156,plain,
! [SV244: b > $o] :
( ( ~ ~ ! [SX0: b] :
~ ( SV244 @ SX0 )
| ( SV244 @ ( hilbert_Eps_b @ SV244 ) ) )
= $true ),
inference(rename,[status(thm)],[2155]) ).
thf(2157,plain,
! [SV62: b > $o] :
( ( ~ ~ ! [SV245: b] :
~ ( SV62 @ SV245 )
| ( SV62 @ ( hilbert_Eps_b @ SV62 ) ) )
= $true ),
inference(choice,[status(thm)],[1815]) ).
thf(2158,plain,
! [SV246: b > $o] :
( ( ~ ~ ! [SX0: b] :
~ ( SV246 @ SX0 )
| ( SV246 @ ( hilbert_Eps_b @ SV246 ) ) )
= $true ),
inference(rename,[status(thm)],[2157]) ).
thf(2159,plain,
! [SV79: set_b,SV130: b > $o] :
( ( ~ ~ ! [SY418: b] :
~ ~ ( ~ ( member_b @ SY418 @ SV79 )
| ~ ( SV130 @ SY418 ) )
| ~ ( ~ ( member_b
@ ( hilbert_Eps_b
@ ^ [SY358: b] :
~ ( ~ ( member_b @ SY358 @ SV79 )
| ~ ( SV130 @ SY358 ) ) )
@ SV79 )
| ~ ( SV130
@ ( hilbert_Eps_b
@ ^ [SY358: b] :
~ ( ~ ( member_b @ SY358 @ SV79 )
| ~ ( SV130 @ SY358 ) ) ) ) ) )
= $true ),
inference(choice,[status(thm)],[1822]) ).
thf(2160,plain,
! [SV248: set_b,SV249: b > $o] :
( ( ~ ~ ! [SX0: b] :
~ ~ ( ~ ( member_b @ SX0 @ SV248 )
| ~ ( SV249 @ SX0 ) )
| ~ ( ~ ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV248 )
| ~ ( SV249 @ SX0 ) ) )
@ SV248 )
| ~ ( SV249
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV248 )
| ~ ( SV249 @ SX0 ) ) ) ) ) )
= $true ),
inference(rename,[status(thm)],[2159]) ).
thf(2161,plain,
! [SV79: set_b,SV130: b > $o] :
( ( ~ ~ ! [SY420: b] :
~ ~ ( ~ ( member_b @ SY420 @ SV79 )
| ~ ( SV130 @ SY420 ) )
| ~ ( ~ ( member_b
@ ( hilbert_Eps_b
@ ^ [SY358: b] :
~ ( ~ ( member_b @ SY358 @ SV79 )
| ~ ( SV130 @ SY358 ) ) )
@ SV79 )
| ~ ( SV130
@ ( hilbert_Eps_b
@ ^ [SY358: b] :
~ ( ~ ( member_b @ SY358 @ SV79 )
| ~ ( SV130 @ SY358 ) ) ) ) ) )
= $true ),
inference(choice,[status(thm)],[1872]) ).
thf(2162,plain,
! [SV251: set_b,SV252: b > $o] :
( ( ~ ~ ! [SX0: b] :
~ ~ ( ~ ( member_b @ SX0 @ SV251 )
| ~ ( SV252 @ SX0 ) )
| ~ ( ~ ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV251 )
| ~ ( SV252 @ SX0 ) ) )
@ SV251 )
| ~ ( SV252
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV251 )
| ~ ( SV252 @ SX0 ) ) ) ) ) )
= $true ),
inference(rename,[status(thm)],[2161]) ).
thf(2163,plain,
! [SV79: set_b,SV130: b > $o] :
( ( ~ ~ ! [SY422: b] :
~ ~ ( ~ ( member_b @ SY422 @ SV79 )
| ~ ( SV130 @ SY422 ) )
| ~ ( ~ ( member_b
@ ( hilbert_Eps_b
@ ^ [SY358: b] :
~ ( ~ ( member_b @ SY358 @ SV79 )
| ~ ( SV130 @ SY358 ) ) )
@ SV79 )
| ~ ( SV130
@ ( hilbert_Eps_b
@ ^ [SY358: b] :
~ ( ~ ( member_b @ SY358 @ SV79 )
| ~ ( SV130 @ SY358 ) ) ) ) ) )
= $true ),
inference(choice,[status(thm)],[1873]) ).
thf(2164,plain,
! [SV254: set_b,SV255: b > $o] :
( ( ~ ~ ! [SX0: b] :
~ ~ ( ~ ( member_b @ SX0 @ SV254 )
| ~ ( SV255 @ SX0 ) )
| ~ ( ~ ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV254 )
| ~ ( SV255 @ SX0 ) ) )
@ SV254 )
| ~ ( SV255
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV254 )
| ~ ( SV255 @ SX0 ) ) ) ) ) )
= $true ),
inference(rename,[status(thm)],[2163]) ).
thf(2165,plain,
! [SV188: b] :
( ( ( ~ ~ ! [SX0: b] : ( SX0 != SV188 ) )
= $true )
| ( ( ( hilbert_Eps_b
@ ^ [SX0: b] : ( SX0 = SV188 ) )
= SV188 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2100]) ).
thf(2166,plain,
! [SV190: b] :
( ( ( ~ ~ ! [SX0: b] : ( SV190 != SX0 ) )
= $true )
| ( ( SV190
= ( hilbert_Eps_b
@ ^ [SX0: b] : ( SV190 = SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2102]) ).
thf(2167,plain,
( ( ( ~ ~ ! [SY382: b] :
~ ( member_b @ SY382 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) ) ) )
= $true )
| ( ( member_b
@ ( hilbert_Eps_b
@ ^ [Y: b] : ( member_b @ Y @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) ) ) )
@ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2103]) ).
thf(2168,plain,
( ( ( ~ ~ ! [SY384: b] :
~ ( member_b @ SY384 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ y @ bot_bot_set_b ) ) ) )
= $true )
| ( ( member_b
@ ( hilbert_Eps_b
@ ^ [Y: b] : ( member_b @ Y @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ y @ bot_bot_set_b ) ) ) )
@ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ y @ bot_bot_set_b ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2104]) ).
thf(2169,plain,
! [SV194: b > $o] :
( ( ( ~ ~ ! [SX0: b] :
~ ( SV194 @ SX0 ) )
= $true )
| ( ( SV194 @ ( hilbert_Eps_b @ SV194 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2106]) ).
thf(2170,plain,
! [SV196: set_b] :
( ( ( ~ ~ ! [SX0: b] :
~ ( member_b @ SX0 @ SV196 ) )
= $true )
| ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] : ( member_b @ SX0 @ SV196 ) )
@ SV196 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2108]) ).
thf(2171,plain,
! [SV198: b] :
( ( ( ~ ~ ! [SX0: b] :
~ ( p @ ( hilbert_Eps_b @ ( p @ SV198 ) ) @ SX0 ) )
= $true )
| ( ( p @ ( hilbert_Eps_b @ ( p @ SV198 ) ) @ ( hilbert_Eps_b @ ( p @ ( hilbert_Eps_b @ ( p @ SV198 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2110]) ).
thf(2172,plain,
! [SV200: b] :
( ( ( ~ ~ ! [SX0: b] :
~ ( p @ SV200 @ SX0 ) )
= $true )
| ( ( p @ SV200 @ ( hilbert_Eps_b @ ( p @ SV200 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2112]) ).
thf(2173,plain,
! [SV202: b] :
( ( ( ~ ~ ! [SX0: b] :
~ ( p @ SV202 @ SX0 ) )
= $true )
| ( ( p @ SV202 @ ( hilbert_Eps_b @ ( p @ SV202 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2114]) ).
thf(2174,plain,
! [SV204: b > $o] :
( ( ( ~ ~ ! [SX0: b] :
~ ( SV204 @ SX0 ) )
= $true )
| ( ( SV204 @ ( hilbert_Eps_b @ SV204 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2116]) ).
thf(2175,plain,
! [SV206: b > $o] :
( ( ( ~ ~ ! [SX0: b] :
~ ( SV206 @ SX0 ) )
= $true )
| ( ( SV206 @ ( hilbert_Eps_b @ SV206 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2118]) ).
thf(2176,plain,
! [SV208: b > $o] :
( ( ( ~ ~ ! [SX0: b] :
~ ( SV208 @ SX0 ) )
= $true )
| ( ( SV208 @ ( hilbert_Eps_b @ SV208 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2120]) ).
thf(2177,plain,
! [SV210: b > $o] :
( ( ( ~ ~ ! [SX0: b] :
~ ( SV210 @ SX0 ) )
= $true )
| ( ( SV210 @ ( hilbert_Eps_b @ SV210 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2122]) ).
thf(2178,plain,
! [SV212: b > $o] :
( ( ( ~ ~ ! [SX0: b] :
~ ( SV212 @ SX0 ) )
= $true )
| ( ( SV212 @ ( hilbert_Eps_b @ SV212 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2124]) ).
thf(2179,plain,
! [SV214: b > $o] :
( ( ( ~ ~ ! [SX0: b] :
~ ( SV214 @ SX0 ) )
= $true )
| ( ( SV214 @ ( hilbert_Eps_b @ SV214 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2126]) ).
thf(2180,plain,
! [SV216: set_b] :
( ( ( ~ ~ ! [SX0: b] :
~ ( member_b @ SX0 @ SV216 ) )
= $true )
| ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] : ( member_b @ SX0 @ SV216 ) )
@ SV216 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2128]) ).
thf(2181,plain,
! [SV218: set_b] :
( ( ( ~ ~ ! [SX0: b] :
~ ( member_b @ SX0 @ SV218 ) )
= $true )
| ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] : ( member_b @ SX0 @ SV218 ) )
@ SV218 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2130]) ).
thf(2182,plain,
! [SV220: b > $o] :
( ( ( ~ ~ ! [SX0: b] :
~ ( SV220 @ SX0 ) )
= $true )
| ( ( SV220 @ ( hilbert_Eps_b @ SV220 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2132]) ).
thf(2183,plain,
! [SV222: b > $o] :
( ( ( ~ ~ ! [SX0: b] :
~ ( SV222 @ SX0 ) )
= $true )
| ( ( SV222 @ ( hilbert_Eps_b @ SV222 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2134]) ).
thf(2184,plain,
! [SV224: set_b] :
( ( ( ~ ~ ! [SX0: b] :
~ ( member_b @ SX0 @ SV224 ) )
= $true )
| ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] : ( member_b @ SX0 @ SV224 ) )
@ SV224 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2136]) ).
thf(2185,plain,
! [SV226: set_b] :
( ( ( ~ ~ ! [SX0: b] :
~ ( member_b @ SX0 @ SV226 ) )
= $true )
| ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] : ( member_b @ SX0 @ SV226 ) )
@ SV226 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2138]) ).
thf(2186,plain,
! [SV228: b > $o] :
( ( ( ~ ~ ! [SX0: b] :
~ ( SV228 @ SX0 ) )
= $true )
| ( ( SV228 @ ( hilbert_Eps_b @ SV228 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2140]) ).
thf(2187,plain,
! [SV230: b > $o] :
( ( ( ~ ~ ! [SX0: b] :
~ ( SV230 @ SX0 ) )
= $true )
| ( ( SV230 @ ( hilbert_Eps_b @ SV230 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2142]) ).
thf(2188,plain,
! [SV232: b > $o] :
( ( ( ~ ~ ! [SX0: b] :
~ ( SV232 @ SX0 ) )
= $true )
| ( ( SV232 @ ( hilbert_Eps_b @ SV232 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2144]) ).
thf(2189,plain,
! [SV234: b > $o] :
( ( ( ~ ~ ! [SX0: b] :
~ ( SV234 @ SX0 ) )
= $true )
| ( ( SV234 @ ( hilbert_Eps_b @ SV234 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2146]) ).
thf(2190,plain,
! [SV236: b > $o] :
( ( ( ~ ~ ! [SX0: b] :
~ ( SV236 @ SX0 ) )
= $true )
| ( ( SV236 @ ( hilbert_Eps_b @ SV236 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2148]) ).
thf(2191,plain,
! [SV238: b > $o] :
( ( ( ~ ~ ! [SX0: b] :
~ ( SV238 @ SX0 ) )
= $true )
| ( ( SV238 @ ( hilbert_Eps_b @ SV238 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2150]) ).
thf(2192,plain,
! [SV240: b > $o] :
( ( ( ~ ~ ! [SX0: b] :
~ ( SV240 @ SX0 ) )
= $true )
| ( ( SV240 @ ( hilbert_Eps_b @ SV240 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2152]) ).
thf(2193,plain,
! [SV242: b > $o] :
( ( ( ~ ~ ! [SX0: b] :
~ ( SV242 @ SX0 ) )
= $true )
| ( ( SV242 @ ( hilbert_Eps_b @ SV242 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2154]) ).
thf(2194,plain,
! [SV244: b > $o] :
( ( ( ~ ~ ! [SX0: b] :
~ ( SV244 @ SX0 ) )
= $true )
| ( ( SV244 @ ( hilbert_Eps_b @ SV244 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2156]) ).
thf(2195,plain,
! [SV246: b > $o] :
( ( ( ~ ~ ! [SX0: b] :
~ ( SV246 @ SX0 ) )
= $true )
| ( ( SV246 @ ( hilbert_Eps_b @ SV246 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2158]) ).
thf(2196,plain,
! [SV249: b > $o,SV248: set_b] :
( ( ( ~ ~ ! [SX0: b] :
~ ~ ( ~ ( member_b @ SX0 @ SV248 )
| ~ ( SV249 @ SX0 ) ) )
= $true )
| ( ( ~ ( ~ ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV248 )
| ~ ( SV249 @ SX0 ) ) )
@ SV248 )
| ~ ( SV249
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV248 )
| ~ ( SV249 @ SX0 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2160]) ).
thf(2197,plain,
! [SV252: b > $o,SV251: set_b] :
( ( ( ~ ~ ! [SX0: b] :
~ ~ ( ~ ( member_b @ SX0 @ SV251 )
| ~ ( SV252 @ SX0 ) ) )
= $true )
| ( ( ~ ( ~ ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV251 )
| ~ ( SV252 @ SX0 ) ) )
@ SV251 )
| ~ ( SV252
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV251 )
| ~ ( SV252 @ SX0 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2162]) ).
thf(2198,plain,
! [SV255: b > $o,SV254: set_b] :
( ( ( ~ ~ ! [SX0: b] :
~ ~ ( ~ ( member_b @ SX0 @ SV254 )
| ~ ( SV255 @ SX0 ) ) )
= $true )
| ( ( ~ ( ~ ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV254 )
| ~ ( SV255 @ SX0 ) ) )
@ SV254 )
| ~ ( SV255
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV254 )
| ~ ( SV255 @ SX0 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2164]) ).
thf(2199,plain,
! [SV188: b] :
( ( ( ~ ! [SX0: b] : ( SX0 != SV188 ) )
= $false )
| ( ( ( hilbert_Eps_b
@ ^ [SX0: b] : ( SX0 = SV188 ) )
= SV188 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2165]) ).
thf(2200,plain,
! [SV190: b] :
( ( ( ~ ! [SX0: b] : ( SV190 != SX0 ) )
= $false )
| ( ( SV190
= ( hilbert_Eps_b
@ ^ [SX0: b] : ( SV190 = SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2166]) ).
thf(2201,plain,
( ( ( ~ ! [SY382: b] :
~ ( member_b @ SY382 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) ) ) )
= $false )
| ( ( member_b
@ ( hilbert_Eps_b
@ ^ [Y: b] : ( member_b @ Y @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) ) ) )
@ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2167]) ).
thf(2202,plain,
( ( ( ~ ! [SY384: b] :
~ ( member_b @ SY384 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ y @ bot_bot_set_b ) ) ) )
= $false )
| ( ( member_b
@ ( hilbert_Eps_b
@ ^ [Y: b] : ( member_b @ Y @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ y @ bot_bot_set_b ) ) ) )
@ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ y @ bot_bot_set_b ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2168]) ).
thf(2203,plain,
! [SV194: b > $o] :
( ( ( ~ ! [SX0: b] :
~ ( SV194 @ SX0 ) )
= $false )
| ( ( SV194 @ ( hilbert_Eps_b @ SV194 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2169]) ).
thf(2204,plain,
! [SV196: set_b] :
( ( ( ~ ! [SX0: b] :
~ ( member_b @ SX0 @ SV196 ) )
= $false )
| ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] : ( member_b @ SX0 @ SV196 ) )
@ SV196 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2170]) ).
thf(2205,plain,
! [SV198: b] :
( ( ( ~ ! [SX0: b] :
~ ( p @ ( hilbert_Eps_b @ ( p @ SV198 ) ) @ SX0 ) )
= $false )
| ( ( p @ ( hilbert_Eps_b @ ( p @ SV198 ) ) @ ( hilbert_Eps_b @ ( p @ ( hilbert_Eps_b @ ( p @ SV198 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2171]) ).
thf(2206,plain,
! [SV200: b] :
( ( ( ~ ! [SX0: b] :
~ ( p @ SV200 @ SX0 ) )
= $false )
| ( ( p @ SV200 @ ( hilbert_Eps_b @ ( p @ SV200 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2172]) ).
thf(2207,plain,
! [SV202: b] :
( ( ( ~ ! [SX0: b] :
~ ( p @ SV202 @ SX0 ) )
= $false )
| ( ( p @ SV202 @ ( hilbert_Eps_b @ ( p @ SV202 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2173]) ).
thf(2208,plain,
! [SV204: b > $o] :
( ( ( ~ ! [SX0: b] :
~ ( SV204 @ SX0 ) )
= $false )
| ( ( SV204 @ ( hilbert_Eps_b @ SV204 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2174]) ).
thf(2209,plain,
! [SV206: b > $o] :
( ( ( ~ ! [SX0: b] :
~ ( SV206 @ SX0 ) )
= $false )
| ( ( SV206 @ ( hilbert_Eps_b @ SV206 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2175]) ).
thf(2210,plain,
! [SV208: b > $o] :
( ( ( ~ ! [SX0: b] :
~ ( SV208 @ SX0 ) )
= $false )
| ( ( SV208 @ ( hilbert_Eps_b @ SV208 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2176]) ).
thf(2211,plain,
! [SV210: b > $o] :
( ( ( ~ ! [SX0: b] :
~ ( SV210 @ SX0 ) )
= $false )
| ( ( SV210 @ ( hilbert_Eps_b @ SV210 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2177]) ).
thf(2212,plain,
! [SV212: b > $o] :
( ( ( ~ ! [SX0: b] :
~ ( SV212 @ SX0 ) )
= $false )
| ( ( SV212 @ ( hilbert_Eps_b @ SV212 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2178]) ).
thf(2213,plain,
! [SV214: b > $o] :
( ( ( ~ ! [SX0: b] :
~ ( SV214 @ SX0 ) )
= $false )
| ( ( SV214 @ ( hilbert_Eps_b @ SV214 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2179]) ).
thf(2214,plain,
! [SV216: set_b] :
( ( ( ~ ! [SX0: b] :
~ ( member_b @ SX0 @ SV216 ) )
= $false )
| ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] : ( member_b @ SX0 @ SV216 ) )
@ SV216 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2180]) ).
thf(2215,plain,
! [SV218: set_b] :
( ( ( ~ ! [SX0: b] :
~ ( member_b @ SX0 @ SV218 ) )
= $false )
| ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] : ( member_b @ SX0 @ SV218 ) )
@ SV218 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2181]) ).
thf(2216,plain,
! [SV220: b > $o] :
( ( ( ~ ! [SX0: b] :
~ ( SV220 @ SX0 ) )
= $false )
| ( ( SV220 @ ( hilbert_Eps_b @ SV220 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2182]) ).
thf(2217,plain,
! [SV222: b > $o] :
( ( ( ~ ! [SX0: b] :
~ ( SV222 @ SX0 ) )
= $false )
| ( ( SV222 @ ( hilbert_Eps_b @ SV222 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2183]) ).
thf(2218,plain,
! [SV224: set_b] :
( ( ( ~ ! [SX0: b] :
~ ( member_b @ SX0 @ SV224 ) )
= $false )
| ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] : ( member_b @ SX0 @ SV224 ) )
@ SV224 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2184]) ).
thf(2219,plain,
! [SV226: set_b] :
( ( ( ~ ! [SX0: b] :
~ ( member_b @ SX0 @ SV226 ) )
= $false )
| ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] : ( member_b @ SX0 @ SV226 ) )
@ SV226 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2185]) ).
thf(2220,plain,
! [SV228: b > $o] :
( ( ( ~ ! [SX0: b] :
~ ( SV228 @ SX0 ) )
= $false )
| ( ( SV228 @ ( hilbert_Eps_b @ SV228 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2186]) ).
thf(2221,plain,
! [SV230: b > $o] :
( ( ( ~ ! [SX0: b] :
~ ( SV230 @ SX0 ) )
= $false )
| ( ( SV230 @ ( hilbert_Eps_b @ SV230 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2187]) ).
thf(2222,plain,
! [SV232: b > $o] :
( ( ( ~ ! [SX0: b] :
~ ( SV232 @ SX0 ) )
= $false )
| ( ( SV232 @ ( hilbert_Eps_b @ SV232 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2188]) ).
thf(2223,plain,
! [SV234: b > $o] :
( ( ( ~ ! [SX0: b] :
~ ( SV234 @ SX0 ) )
= $false )
| ( ( SV234 @ ( hilbert_Eps_b @ SV234 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2189]) ).
thf(2224,plain,
! [SV236: b > $o] :
( ( ( ~ ! [SX0: b] :
~ ( SV236 @ SX0 ) )
= $false )
| ( ( SV236 @ ( hilbert_Eps_b @ SV236 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2190]) ).
thf(2225,plain,
! [SV238: b > $o] :
( ( ( ~ ! [SX0: b] :
~ ( SV238 @ SX0 ) )
= $false )
| ( ( SV238 @ ( hilbert_Eps_b @ SV238 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2191]) ).
thf(2226,plain,
! [SV240: b > $o] :
( ( ( ~ ! [SX0: b] :
~ ( SV240 @ SX0 ) )
= $false )
| ( ( SV240 @ ( hilbert_Eps_b @ SV240 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2192]) ).
thf(2227,plain,
! [SV242: b > $o] :
( ( ( ~ ! [SX0: b] :
~ ( SV242 @ SX0 ) )
= $false )
| ( ( SV242 @ ( hilbert_Eps_b @ SV242 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2193]) ).
thf(2228,plain,
! [SV244: b > $o] :
( ( ( ~ ! [SX0: b] :
~ ( SV244 @ SX0 ) )
= $false )
| ( ( SV244 @ ( hilbert_Eps_b @ SV244 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2194]) ).
thf(2229,plain,
! [SV246: b > $o] :
( ( ( ~ ! [SX0: b] :
~ ( SV246 @ SX0 ) )
= $false )
| ( ( SV246 @ ( hilbert_Eps_b @ SV246 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2195]) ).
thf(2230,plain,
! [SV249: b > $o,SV248: set_b] :
( ( ( ~ ! [SX0: b] :
~ ~ ( ~ ( member_b @ SX0 @ SV248 )
| ~ ( SV249 @ SX0 ) ) )
= $false )
| ( ( ~ ( ~ ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV248 )
| ~ ( SV249 @ SX0 ) ) )
@ SV248 )
| ~ ( SV249
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV248 )
| ~ ( SV249 @ SX0 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2196]) ).
thf(2231,plain,
! [SV252: b > $o,SV251: set_b] :
( ( ( ~ ! [SX0: b] :
~ ~ ( ~ ( member_b @ SX0 @ SV251 )
| ~ ( SV252 @ SX0 ) ) )
= $false )
| ( ( ~ ( ~ ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV251 )
| ~ ( SV252 @ SX0 ) ) )
@ SV251 )
| ~ ( SV252
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV251 )
| ~ ( SV252 @ SX0 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2197]) ).
thf(2232,plain,
! [SV255: b > $o,SV254: set_b] :
( ( ( ~ ! [SX0: b] :
~ ~ ( ~ ( member_b @ SX0 @ SV254 )
| ~ ( SV255 @ SX0 ) ) )
= $false )
| ( ( ~ ( ~ ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV254 )
| ~ ( SV255 @ SX0 ) ) )
@ SV254 )
| ~ ( SV255
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV254 )
| ~ ( SV255 @ SX0 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2198]) ).
thf(2233,plain,
! [SV188: b] :
( ( ( ! [SX0: b] : ( SX0 != SV188 ) )
= $true )
| ( ( ( hilbert_Eps_b
@ ^ [SX0: b] : ( SX0 = SV188 ) )
= SV188 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2199]) ).
thf(2234,plain,
! [SV190: b] :
( ( ( ! [SX0: b] : ( SV190 != SX0 ) )
= $true )
| ( ( SV190
= ( hilbert_Eps_b
@ ^ [SX0: b] : ( SV190 = SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2200]) ).
thf(2235,plain,
( ( ( ! [SY382: b] :
~ ( member_b @ SY382 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) ) ) )
= $true )
| ( ( member_b
@ ( hilbert_Eps_b
@ ^ [Y: b] : ( member_b @ Y @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) ) ) )
@ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2201]) ).
thf(2236,plain,
( ( ( ! [SY384: b] :
~ ( member_b @ SY384 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ y @ bot_bot_set_b ) ) ) )
= $true )
| ( ( member_b
@ ( hilbert_Eps_b
@ ^ [Y: b] : ( member_b @ Y @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ y @ bot_bot_set_b ) ) ) )
@ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ y @ bot_bot_set_b ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2202]) ).
thf(2237,plain,
! [SV194: b > $o] :
( ( ( ! [SX0: b] :
~ ( SV194 @ SX0 ) )
= $true )
| ( ( SV194 @ ( hilbert_Eps_b @ SV194 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2203]) ).
thf(2238,plain,
! [SV196: set_b] :
( ( ( ! [SX0: b] :
~ ( member_b @ SX0 @ SV196 ) )
= $true )
| ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] : ( member_b @ SX0 @ SV196 ) )
@ SV196 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2204]) ).
thf(2239,plain,
! [SV198: b] :
( ( ( ! [SX0: b] :
~ ( p @ ( hilbert_Eps_b @ ( p @ SV198 ) ) @ SX0 ) )
= $true )
| ( ( p @ ( hilbert_Eps_b @ ( p @ SV198 ) ) @ ( hilbert_Eps_b @ ( p @ ( hilbert_Eps_b @ ( p @ SV198 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2205]) ).
thf(2240,plain,
! [SV200: b] :
( ( ( ! [SX0: b] :
~ ( p @ SV200 @ SX0 ) )
= $true )
| ( ( p @ SV200 @ ( hilbert_Eps_b @ ( p @ SV200 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2206]) ).
thf(2241,plain,
! [SV202: b] :
( ( ( ! [SX0: b] :
~ ( p @ SV202 @ SX0 ) )
= $true )
| ( ( p @ SV202 @ ( hilbert_Eps_b @ ( p @ SV202 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2207]) ).
thf(2242,plain,
! [SV204: b > $o] :
( ( ( ! [SX0: b] :
~ ( SV204 @ SX0 ) )
= $true )
| ( ( SV204 @ ( hilbert_Eps_b @ SV204 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2208]) ).
thf(2243,plain,
! [SV206: b > $o] :
( ( ( ! [SX0: b] :
~ ( SV206 @ SX0 ) )
= $true )
| ( ( SV206 @ ( hilbert_Eps_b @ SV206 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2209]) ).
thf(2244,plain,
! [SV208: b > $o] :
( ( ( ! [SX0: b] :
~ ( SV208 @ SX0 ) )
= $true )
| ( ( SV208 @ ( hilbert_Eps_b @ SV208 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2210]) ).
thf(2245,plain,
! [SV210: b > $o] :
( ( ( ! [SX0: b] :
~ ( SV210 @ SX0 ) )
= $true )
| ( ( SV210 @ ( hilbert_Eps_b @ SV210 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2211]) ).
thf(2246,plain,
! [SV212: b > $o] :
( ( ( ! [SX0: b] :
~ ( SV212 @ SX0 ) )
= $true )
| ( ( SV212 @ ( hilbert_Eps_b @ SV212 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2212]) ).
thf(2247,plain,
! [SV214: b > $o] :
( ( ( ! [SX0: b] :
~ ( SV214 @ SX0 ) )
= $true )
| ( ( SV214 @ ( hilbert_Eps_b @ SV214 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2213]) ).
thf(2248,plain,
! [SV216: set_b] :
( ( ( ! [SX0: b] :
~ ( member_b @ SX0 @ SV216 ) )
= $true )
| ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] : ( member_b @ SX0 @ SV216 ) )
@ SV216 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2214]) ).
thf(2249,plain,
! [SV218: set_b] :
( ( ( ! [SX0: b] :
~ ( member_b @ SX0 @ SV218 ) )
= $true )
| ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] : ( member_b @ SX0 @ SV218 ) )
@ SV218 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2215]) ).
thf(2250,plain,
! [SV220: b > $o] :
( ( ( ! [SX0: b] :
~ ( SV220 @ SX0 ) )
= $true )
| ( ( SV220 @ ( hilbert_Eps_b @ SV220 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2216]) ).
thf(2251,plain,
! [SV222: b > $o] :
( ( ( ! [SX0: b] :
~ ( SV222 @ SX0 ) )
= $true )
| ( ( SV222 @ ( hilbert_Eps_b @ SV222 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2217]) ).
thf(2252,plain,
! [SV224: set_b] :
( ( ( ! [SX0: b] :
~ ( member_b @ SX0 @ SV224 ) )
= $true )
| ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] : ( member_b @ SX0 @ SV224 ) )
@ SV224 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2218]) ).
thf(2253,plain,
! [SV226: set_b] :
( ( ( ! [SX0: b] :
~ ( member_b @ SX0 @ SV226 ) )
= $true )
| ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] : ( member_b @ SX0 @ SV226 ) )
@ SV226 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2219]) ).
thf(2254,plain,
! [SV228: b > $o] :
( ( ( ! [SX0: b] :
~ ( SV228 @ SX0 ) )
= $true )
| ( ( SV228 @ ( hilbert_Eps_b @ SV228 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2220]) ).
thf(2255,plain,
! [SV230: b > $o] :
( ( ( ! [SX0: b] :
~ ( SV230 @ SX0 ) )
= $true )
| ( ( SV230 @ ( hilbert_Eps_b @ SV230 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2221]) ).
thf(2256,plain,
! [SV232: b > $o] :
( ( ( ! [SX0: b] :
~ ( SV232 @ SX0 ) )
= $true )
| ( ( SV232 @ ( hilbert_Eps_b @ SV232 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2222]) ).
thf(2257,plain,
! [SV234: b > $o] :
( ( ( ! [SX0: b] :
~ ( SV234 @ SX0 ) )
= $true )
| ( ( SV234 @ ( hilbert_Eps_b @ SV234 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2223]) ).
thf(2258,plain,
! [SV236: b > $o] :
( ( ( ! [SX0: b] :
~ ( SV236 @ SX0 ) )
= $true )
| ( ( SV236 @ ( hilbert_Eps_b @ SV236 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2224]) ).
thf(2259,plain,
! [SV238: b > $o] :
( ( ( ! [SX0: b] :
~ ( SV238 @ SX0 ) )
= $true )
| ( ( SV238 @ ( hilbert_Eps_b @ SV238 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2225]) ).
thf(2260,plain,
! [SV240: b > $o] :
( ( ( ! [SX0: b] :
~ ( SV240 @ SX0 ) )
= $true )
| ( ( SV240 @ ( hilbert_Eps_b @ SV240 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2226]) ).
thf(2261,plain,
! [SV242: b > $o] :
( ( ( ! [SX0: b] :
~ ( SV242 @ SX0 ) )
= $true )
| ( ( SV242 @ ( hilbert_Eps_b @ SV242 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2227]) ).
thf(2262,plain,
! [SV244: b > $o] :
( ( ( ! [SX0: b] :
~ ( SV244 @ SX0 ) )
= $true )
| ( ( SV244 @ ( hilbert_Eps_b @ SV244 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2228]) ).
thf(2263,plain,
! [SV246: b > $o] :
( ( ( ! [SX0: b] :
~ ( SV246 @ SX0 ) )
= $true )
| ( ( SV246 @ ( hilbert_Eps_b @ SV246 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2229]) ).
thf(2264,plain,
! [SV249: b > $o,SV248: set_b] :
( ( ( ! [SX0: b] :
~ ~ ( ~ ( member_b @ SX0 @ SV248 )
| ~ ( SV249 @ SX0 ) ) )
= $true )
| ( ( ~ ( ~ ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV248 )
| ~ ( SV249 @ SX0 ) ) )
@ SV248 )
| ~ ( SV249
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV248 )
| ~ ( SV249 @ SX0 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2230]) ).
thf(2265,plain,
! [SV252: b > $o,SV251: set_b] :
( ( ( ! [SX0: b] :
~ ~ ( ~ ( member_b @ SX0 @ SV251 )
| ~ ( SV252 @ SX0 ) ) )
= $true )
| ( ( ~ ( ~ ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV251 )
| ~ ( SV252 @ SX0 ) ) )
@ SV251 )
| ~ ( SV252
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV251 )
| ~ ( SV252 @ SX0 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2231]) ).
thf(2266,plain,
! [SV255: b > $o,SV254: set_b] :
( ( ( ! [SX0: b] :
~ ~ ( ~ ( member_b @ SX0 @ SV254 )
| ~ ( SV255 @ SX0 ) ) )
= $true )
| ( ( ~ ( ~ ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV254 )
| ~ ( SV255 @ SX0 ) ) )
@ SV254 )
| ~ ( SV255
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV254 )
| ~ ( SV255 @ SX0 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2232]) ).
thf(2267,plain,
! [SV188: b,SV256: b] :
( ( ( SV256 != SV188 )
= $true )
| ( ( ( hilbert_Eps_b
@ ^ [SX0: b] : ( SX0 = SV188 ) )
= SV188 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2233]) ).
thf(2268,plain,
! [SV257: b,SV190: b] :
( ( ( SV190 != SV257 )
= $true )
| ( ( SV190
= ( hilbert_Eps_b
@ ^ [SX0: b] : ( SV190 = SX0 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2234]) ).
thf(2269,plain,
! [SV258: b] :
( ( ( ~ ( member_b @ SV258 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) ) ) )
= $true )
| ( ( member_b
@ ( hilbert_Eps_b
@ ^ [Y: b] : ( member_b @ Y @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) ) ) )
@ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2235]) ).
thf(2270,plain,
! [SV259: b] :
( ( ( ~ ( member_b @ SV259 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ y @ bot_bot_set_b ) ) ) )
= $true )
| ( ( member_b
@ ( hilbert_Eps_b
@ ^ [Y: b] : ( member_b @ Y @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ y @ bot_bot_set_b ) ) ) )
@ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ y @ bot_bot_set_b ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2236]) ).
thf(2271,plain,
! [SV260: b,SV194: b > $o] :
( ( ( ~ ( SV194 @ SV260 ) )
= $true )
| ( ( SV194 @ ( hilbert_Eps_b @ SV194 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2237]) ).
thf(2272,plain,
! [SV196: set_b,SV261: b] :
( ( ( ~ ( member_b @ SV261 @ SV196 ) )
= $true )
| ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] : ( member_b @ SX0 @ SV196 ) )
@ SV196 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2238]) ).
thf(2273,plain,
! [SV262: b,SV198: b] :
( ( ( ~ ( p @ ( hilbert_Eps_b @ ( p @ SV198 ) ) @ SV262 ) )
= $true )
| ( ( p @ ( hilbert_Eps_b @ ( p @ SV198 ) ) @ ( hilbert_Eps_b @ ( p @ ( hilbert_Eps_b @ ( p @ SV198 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2239]) ).
thf(2274,plain,
! [SV263: b,SV200: b] :
( ( ( ~ ( p @ SV200 @ SV263 ) )
= $true )
| ( ( p @ SV200 @ ( hilbert_Eps_b @ ( p @ SV200 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2240]) ).
thf(2275,plain,
! [SV264: b,SV202: b] :
( ( ( ~ ( p @ SV202 @ SV264 ) )
= $true )
| ( ( p @ SV202 @ ( hilbert_Eps_b @ ( p @ SV202 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2241]) ).
thf(2276,plain,
! [SV265: b,SV204: b > $o] :
( ( ( ~ ( SV204 @ SV265 ) )
= $true )
| ( ( SV204 @ ( hilbert_Eps_b @ SV204 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2242]) ).
thf(2277,plain,
! [SV266: b,SV206: b > $o] :
( ( ( ~ ( SV206 @ SV266 ) )
= $true )
| ( ( SV206 @ ( hilbert_Eps_b @ SV206 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2243]) ).
thf(2278,plain,
! [SV267: b,SV208: b > $o] :
( ( ( ~ ( SV208 @ SV267 ) )
= $true )
| ( ( SV208 @ ( hilbert_Eps_b @ SV208 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2244]) ).
thf(2279,plain,
! [SV268: b,SV210: b > $o] :
( ( ( ~ ( SV210 @ SV268 ) )
= $true )
| ( ( SV210 @ ( hilbert_Eps_b @ SV210 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2245]) ).
thf(2280,plain,
! [SV269: b,SV212: b > $o] :
( ( ( ~ ( SV212 @ SV269 ) )
= $true )
| ( ( SV212 @ ( hilbert_Eps_b @ SV212 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2246]) ).
thf(2281,plain,
! [SV270: b,SV214: b > $o] :
( ( ( ~ ( SV214 @ SV270 ) )
= $true )
| ( ( SV214 @ ( hilbert_Eps_b @ SV214 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2247]) ).
thf(2282,plain,
! [SV216: set_b,SV271: b] :
( ( ( ~ ( member_b @ SV271 @ SV216 ) )
= $true )
| ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] : ( member_b @ SX0 @ SV216 ) )
@ SV216 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2248]) ).
thf(2283,plain,
! [SV218: set_b,SV272: b] :
( ( ( ~ ( member_b @ SV272 @ SV218 ) )
= $true )
| ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] : ( member_b @ SX0 @ SV218 ) )
@ SV218 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2249]) ).
thf(2284,plain,
! [SV273: b,SV220: b > $o] :
( ( ( ~ ( SV220 @ SV273 ) )
= $true )
| ( ( SV220 @ ( hilbert_Eps_b @ SV220 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2250]) ).
thf(2285,plain,
! [SV274: b,SV222: b > $o] :
( ( ( ~ ( SV222 @ SV274 ) )
= $true )
| ( ( SV222 @ ( hilbert_Eps_b @ SV222 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2251]) ).
thf(2286,plain,
! [SV224: set_b,SV275: b] :
( ( ( ~ ( member_b @ SV275 @ SV224 ) )
= $true )
| ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] : ( member_b @ SX0 @ SV224 ) )
@ SV224 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2252]) ).
thf(2287,plain,
! [SV226: set_b,SV276: b] :
( ( ( ~ ( member_b @ SV276 @ SV226 ) )
= $true )
| ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] : ( member_b @ SX0 @ SV226 ) )
@ SV226 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2253]) ).
thf(2288,plain,
! [SV277: b,SV228: b > $o] :
( ( ( ~ ( SV228 @ SV277 ) )
= $true )
| ( ( SV228 @ ( hilbert_Eps_b @ SV228 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2254]) ).
thf(2289,plain,
! [SV278: b,SV230: b > $o] :
( ( ( ~ ( SV230 @ SV278 ) )
= $true )
| ( ( SV230 @ ( hilbert_Eps_b @ SV230 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2255]) ).
thf(2290,plain,
! [SV279: b,SV232: b > $o] :
( ( ( ~ ( SV232 @ SV279 ) )
= $true )
| ( ( SV232 @ ( hilbert_Eps_b @ SV232 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2256]) ).
thf(2291,plain,
! [SV280: b,SV234: b > $o] :
( ( ( ~ ( SV234 @ SV280 ) )
= $true )
| ( ( SV234 @ ( hilbert_Eps_b @ SV234 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2257]) ).
thf(2292,plain,
! [SV281: b,SV236: b > $o] :
( ( ( ~ ( SV236 @ SV281 ) )
= $true )
| ( ( SV236 @ ( hilbert_Eps_b @ SV236 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2258]) ).
thf(2293,plain,
! [SV282: b,SV238: b > $o] :
( ( ( ~ ( SV238 @ SV282 ) )
= $true )
| ( ( SV238 @ ( hilbert_Eps_b @ SV238 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2259]) ).
thf(2294,plain,
! [SV283: b,SV240: b > $o] :
( ( ( ~ ( SV240 @ SV283 ) )
= $true )
| ( ( SV240 @ ( hilbert_Eps_b @ SV240 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2260]) ).
thf(2295,plain,
! [SV284: b,SV242: b > $o] :
( ( ( ~ ( SV242 @ SV284 ) )
= $true )
| ( ( SV242 @ ( hilbert_Eps_b @ SV242 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2261]) ).
thf(2296,plain,
! [SV285: b,SV244: b > $o] :
( ( ( ~ ( SV244 @ SV285 ) )
= $true )
| ( ( SV244 @ ( hilbert_Eps_b @ SV244 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2262]) ).
thf(2297,plain,
! [SV286: b,SV246: b > $o] :
( ( ( ~ ( SV246 @ SV286 ) )
= $true )
| ( ( SV246 @ ( hilbert_Eps_b @ SV246 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2263]) ).
thf(2298,plain,
! [SV249: b > $o,SV248: set_b,SV287: b] :
( ( ( ~ ~ ( ~ ( member_b @ SV287 @ SV248 )
| ~ ( SV249 @ SV287 ) ) )
= $true )
| ( ( ~ ( ~ ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV248 )
| ~ ( SV249 @ SX0 ) ) )
@ SV248 )
| ~ ( SV249
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV248 )
| ~ ( SV249 @ SX0 ) ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2264]) ).
thf(2299,plain,
! [SV252: b > $o,SV251: set_b,SV288: b] :
( ( ( ~ ~ ( ~ ( member_b @ SV288 @ SV251 )
| ~ ( SV252 @ SV288 ) ) )
= $true )
| ( ( ~ ( ~ ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV251 )
| ~ ( SV252 @ SX0 ) ) )
@ SV251 )
| ~ ( SV252
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV251 )
| ~ ( SV252 @ SX0 ) ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2265]) ).
thf(2300,plain,
! [SV255: b > $o,SV254: set_b,SV289: b] :
( ( ( ~ ~ ( ~ ( member_b @ SV289 @ SV254 )
| ~ ( SV255 @ SV289 ) ) )
= $true )
| ( ( ~ ( ~ ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV254 )
| ~ ( SV255 @ SX0 ) ) )
@ SV254 )
| ~ ( SV255
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV254 )
| ~ ( SV255 @ SX0 ) ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2266]) ).
thf(2301,plain,
! [SV188: b,SV256: b] :
( ( ( SV256 = SV188 )
= $false )
| ( ( ( hilbert_Eps_b
@ ^ [SX0: b] : ( SX0 = SV188 ) )
= SV188 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2267]) ).
thf(2302,plain,
! [SV257: b,SV190: b] :
( ( ( SV190 = SV257 )
= $false )
| ( ( SV190
= ( hilbert_Eps_b
@ ^ [SX0: b] : ( SV190 = SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2268]) ).
thf(2303,plain,
! [SV258: b] :
( ( ( member_b @ SV258 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) ) )
= $false )
| ( ( member_b
@ ( hilbert_Eps_b
@ ^ [Y: b] : ( member_b @ Y @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) ) ) )
@ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2269]) ).
thf(2304,plain,
! [SV259: b] :
( ( ( member_b @ SV259 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ y @ bot_bot_set_b ) ) )
= $false )
| ( ( member_b
@ ( hilbert_Eps_b
@ ^ [Y: b] : ( member_b @ Y @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ y @ bot_bot_set_b ) ) ) )
@ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ y @ bot_bot_set_b ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2270]) ).
thf(2305,plain,
! [SV260: b,SV194: b > $o] :
( ( ( SV194 @ SV260 )
= $false )
| ( ( SV194 @ ( hilbert_Eps_b @ SV194 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2271]) ).
thf(2306,plain,
! [SV196: set_b,SV261: b] :
( ( ( member_b @ SV261 @ SV196 )
= $false )
| ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] : ( member_b @ SX0 @ SV196 ) )
@ SV196 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2272]) ).
thf(2307,plain,
! [SV262: b,SV198: b] :
( ( ( p @ ( hilbert_Eps_b @ ( p @ SV198 ) ) @ SV262 )
= $false )
| ( ( p @ ( hilbert_Eps_b @ ( p @ SV198 ) ) @ ( hilbert_Eps_b @ ( p @ ( hilbert_Eps_b @ ( p @ SV198 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2273]) ).
thf(2308,plain,
! [SV263: b,SV200: b] :
( ( ( p @ SV200 @ SV263 )
= $false )
| ( ( p @ SV200 @ ( hilbert_Eps_b @ ( p @ SV200 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2274]) ).
thf(2309,plain,
! [SV264: b,SV202: b] :
( ( ( p @ SV202 @ SV264 )
= $false )
| ( ( p @ SV202 @ ( hilbert_Eps_b @ ( p @ SV202 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2275]) ).
thf(2310,plain,
! [SV265: b,SV204: b > $o] :
( ( ( SV204 @ SV265 )
= $false )
| ( ( SV204 @ ( hilbert_Eps_b @ SV204 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2276]) ).
thf(2311,plain,
! [SV266: b,SV206: b > $o] :
( ( ( SV206 @ SV266 )
= $false )
| ( ( SV206 @ ( hilbert_Eps_b @ SV206 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2277]) ).
thf(2312,plain,
! [SV267: b,SV208: b > $o] :
( ( ( SV208 @ SV267 )
= $false )
| ( ( SV208 @ ( hilbert_Eps_b @ SV208 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2278]) ).
thf(2313,plain,
! [SV268: b,SV210: b > $o] :
( ( ( SV210 @ SV268 )
= $false )
| ( ( SV210 @ ( hilbert_Eps_b @ SV210 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2279]) ).
thf(2314,plain,
! [SV269: b,SV212: b > $o] :
( ( ( SV212 @ SV269 )
= $false )
| ( ( SV212 @ ( hilbert_Eps_b @ SV212 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2280]) ).
thf(2315,plain,
! [SV270: b,SV214: b > $o] :
( ( ( SV214 @ SV270 )
= $false )
| ( ( SV214 @ ( hilbert_Eps_b @ SV214 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2281]) ).
thf(2316,plain,
! [SV216: set_b,SV271: b] :
( ( ( member_b @ SV271 @ SV216 )
= $false )
| ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] : ( member_b @ SX0 @ SV216 ) )
@ SV216 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2282]) ).
thf(2317,plain,
! [SV218: set_b,SV272: b] :
( ( ( member_b @ SV272 @ SV218 )
= $false )
| ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] : ( member_b @ SX0 @ SV218 ) )
@ SV218 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2283]) ).
thf(2318,plain,
! [SV273: b,SV220: b > $o] :
( ( ( SV220 @ SV273 )
= $false )
| ( ( SV220 @ ( hilbert_Eps_b @ SV220 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2284]) ).
thf(2319,plain,
! [SV274: b,SV222: b > $o] :
( ( ( SV222 @ SV274 )
= $false )
| ( ( SV222 @ ( hilbert_Eps_b @ SV222 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2285]) ).
thf(2320,plain,
! [SV224: set_b,SV275: b] :
( ( ( member_b @ SV275 @ SV224 )
= $false )
| ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] : ( member_b @ SX0 @ SV224 ) )
@ SV224 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2286]) ).
thf(2321,plain,
! [SV226: set_b,SV276: b] :
( ( ( member_b @ SV276 @ SV226 )
= $false )
| ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] : ( member_b @ SX0 @ SV226 ) )
@ SV226 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2287]) ).
thf(2322,plain,
! [SV277: b,SV228: b > $o] :
( ( ( SV228 @ SV277 )
= $false )
| ( ( SV228 @ ( hilbert_Eps_b @ SV228 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2288]) ).
thf(2323,plain,
! [SV278: b,SV230: b > $o] :
( ( ( SV230 @ SV278 )
= $false )
| ( ( SV230 @ ( hilbert_Eps_b @ SV230 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2289]) ).
thf(2324,plain,
! [SV279: b,SV232: b > $o] :
( ( ( SV232 @ SV279 )
= $false )
| ( ( SV232 @ ( hilbert_Eps_b @ SV232 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2290]) ).
thf(2325,plain,
! [SV280: b,SV234: b > $o] :
( ( ( SV234 @ SV280 )
= $false )
| ( ( SV234 @ ( hilbert_Eps_b @ SV234 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2291]) ).
thf(2326,plain,
! [SV281: b,SV236: b > $o] :
( ( ( SV236 @ SV281 )
= $false )
| ( ( SV236 @ ( hilbert_Eps_b @ SV236 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2292]) ).
thf(2327,plain,
! [SV282: b,SV238: b > $o] :
( ( ( SV238 @ SV282 )
= $false )
| ( ( SV238 @ ( hilbert_Eps_b @ SV238 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2293]) ).
thf(2328,plain,
! [SV283: b,SV240: b > $o] :
( ( ( SV240 @ SV283 )
= $false )
| ( ( SV240 @ ( hilbert_Eps_b @ SV240 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2294]) ).
thf(2329,plain,
! [SV284: b,SV242: b > $o] :
( ( ( SV242 @ SV284 )
= $false )
| ( ( SV242 @ ( hilbert_Eps_b @ SV242 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2295]) ).
thf(2330,plain,
! [SV285: b,SV244: b > $o] :
( ( ( SV244 @ SV285 )
= $false )
| ( ( SV244 @ ( hilbert_Eps_b @ SV244 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2296]) ).
thf(2331,plain,
! [SV286: b,SV246: b > $o] :
( ( ( SV246 @ SV286 )
= $false )
| ( ( SV246 @ ( hilbert_Eps_b @ SV246 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2297]) ).
thf(2332,plain,
! [SV249: b > $o,SV248: set_b,SV287: b] :
( ( ( ~ ( ~ ( member_b @ SV287 @ SV248 )
| ~ ( SV249 @ SV287 ) ) )
= $false )
| ( ( ~ ( ~ ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV248 )
| ~ ( SV249 @ SX0 ) ) )
@ SV248 )
| ~ ( SV249
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV248 )
| ~ ( SV249 @ SX0 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2298]) ).
thf(2333,plain,
! [SV252: b > $o,SV251: set_b,SV288: b] :
( ( ( ~ ( ~ ( member_b @ SV288 @ SV251 )
| ~ ( SV252 @ SV288 ) ) )
= $false )
| ( ( ~ ( ~ ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV251 )
| ~ ( SV252 @ SX0 ) ) )
@ SV251 )
| ~ ( SV252
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV251 )
| ~ ( SV252 @ SX0 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2299]) ).
thf(2334,plain,
! [SV255: b > $o,SV254: set_b,SV289: b] :
( ( ( ~ ( ~ ( member_b @ SV289 @ SV254 )
| ~ ( SV255 @ SV289 ) ) )
= $false )
| ( ( ~ ( ~ ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV254 )
| ~ ( SV255 @ SX0 ) ) )
@ SV254 )
| ~ ( SV255
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV254 )
| ~ ( SV255 @ SX0 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2300]) ).
thf(2335,plain,
! [SV249: b > $o,SV248: set_b,SV287: b] :
( ( ( ~ ( member_b @ SV287 @ SV248 )
| ~ ( SV249 @ SV287 ) )
= $true )
| ( ( ~ ( ~ ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV248 )
| ~ ( SV249 @ SX0 ) ) )
@ SV248 )
| ~ ( SV249
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV248 )
| ~ ( SV249 @ SX0 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2332]) ).
thf(2336,plain,
! [SV252: b > $o,SV251: set_b,SV288: b] :
( ( ( ~ ( member_b @ SV288 @ SV251 )
| ~ ( SV252 @ SV288 ) )
= $true )
| ( ( ~ ( ~ ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV251 )
| ~ ( SV252 @ SX0 ) ) )
@ SV251 )
| ~ ( SV252
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV251 )
| ~ ( SV252 @ SX0 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2333]) ).
thf(2337,plain,
! [SV255: b > $o,SV254: set_b,SV289: b] :
( ( ( ~ ( member_b @ SV289 @ SV254 )
| ~ ( SV255 @ SV289 ) )
= $true )
| ( ( ~ ( ~ ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV254 )
| ~ ( SV255 @ SX0 ) ) )
@ SV254 )
| ~ ( SV255
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV254 )
| ~ ( SV255 @ SX0 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2334]) ).
thf(2338,plain,
! [SV249: b > $o,SV248: set_b,SV287: b] :
( ( ( ~ ( member_b @ SV287 @ SV248 ) )
= $true )
| ( ( ~ ( SV249 @ SV287 ) )
= $true )
| ( ( ~ ( ~ ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV248 )
| ~ ( SV249 @ SX0 ) ) )
@ SV248 )
| ~ ( SV249
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV248 )
| ~ ( SV249 @ SX0 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2335]) ).
thf(2339,plain,
! [SV252: b > $o,SV251: set_b,SV288: b] :
( ( ( ~ ( member_b @ SV288 @ SV251 ) )
= $true )
| ( ( ~ ( SV252 @ SV288 ) )
= $true )
| ( ( ~ ( ~ ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV251 )
| ~ ( SV252 @ SX0 ) ) )
@ SV251 )
| ~ ( SV252
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV251 )
| ~ ( SV252 @ SX0 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2336]) ).
thf(2340,plain,
! [SV255: b > $o,SV254: set_b,SV289: b] :
( ( ( ~ ( member_b @ SV289 @ SV254 ) )
= $true )
| ( ( ~ ( SV255 @ SV289 ) )
= $true )
| ( ( ~ ( ~ ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV254 )
| ~ ( SV255 @ SX0 ) ) )
@ SV254 )
| ~ ( SV255
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV254 )
| ~ ( SV255 @ SX0 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2337]) ).
thf(2341,plain,
! [SV249: b > $o,SV248: set_b,SV287: b] :
( ( ( member_b @ SV287 @ SV248 )
= $false )
| ( ( ~ ( SV249 @ SV287 ) )
= $true )
| ( ( ~ ( ~ ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV248 )
| ~ ( SV249 @ SX0 ) ) )
@ SV248 )
| ~ ( SV249
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV248 )
| ~ ( SV249 @ SX0 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2338]) ).
thf(2342,plain,
! [SV252: b > $o,SV251: set_b,SV288: b] :
( ( ( member_b @ SV288 @ SV251 )
= $false )
| ( ( ~ ( SV252 @ SV288 ) )
= $true )
| ( ( ~ ( ~ ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV251 )
| ~ ( SV252 @ SX0 ) ) )
@ SV251 )
| ~ ( SV252
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV251 )
| ~ ( SV252 @ SX0 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2339]) ).
thf(2343,plain,
! [SV255: b > $o,SV254: set_b,SV289: b] :
( ( ( member_b @ SV289 @ SV254 )
= $false )
| ( ( ~ ( SV255 @ SV289 ) )
= $true )
| ( ( ~ ( ~ ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV254 )
| ~ ( SV255 @ SX0 ) ) )
@ SV254 )
| ~ ( SV255
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV254 )
| ~ ( SV255 @ SX0 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2340]) ).
thf(2344,plain,
! [SV248: set_b,SV287: b,SV249: b > $o] :
( ( ( SV249 @ SV287 )
= $false )
| ( ( member_b @ SV287 @ SV248 )
= $false )
| ( ( ~ ( ~ ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV248 )
| ~ ( SV249 @ SX0 ) ) )
@ SV248 )
| ~ ( SV249
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV248 )
| ~ ( SV249 @ SX0 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2341]) ).
thf(2345,plain,
! [SV251: set_b,SV288: b,SV252: b > $o] :
( ( ( SV252 @ SV288 )
= $false )
| ( ( member_b @ SV288 @ SV251 )
= $false )
| ( ( ~ ( ~ ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV251 )
| ~ ( SV252 @ SX0 ) ) )
@ SV251 )
| ~ ( SV252
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV251 )
| ~ ( SV252 @ SX0 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2342]) ).
thf(2346,plain,
! [SV254: set_b,SV289: b,SV255: b > $o] :
( ( ( SV255 @ SV289 )
= $false )
| ( ( member_b @ SV289 @ SV254 )
= $false )
| ( ( ~ ( ~ ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV254 )
| ~ ( SV255 @ SX0 ) ) )
@ SV254 )
| ~ ( SV255
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV254 )
| ~ ( SV255 @ SX0 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2343]) ).
thf(2347,plain,
! [SV287: b,SV249: b > $o,SV248: set_b] :
( ( ( ~ ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV248 )
| ~ ( SV249 @ SX0 ) ) )
@ SV248 )
| ~ ( SV249
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV248 )
| ~ ( SV249 @ SX0 ) ) ) ) )
= $false )
| ( ( member_b @ SV287 @ SV248 )
= $false )
| ( ( SV249 @ SV287 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2344]) ).
thf(2348,plain,
! [SV288: b,SV252: b > $o,SV251: set_b] :
( ( ( ~ ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV251 )
| ~ ( SV252 @ SX0 ) ) )
@ SV251 )
| ~ ( SV252
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV251 )
| ~ ( SV252 @ SX0 ) ) ) ) )
= $false )
| ( ( member_b @ SV288 @ SV251 )
= $false )
| ( ( SV252 @ SV288 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2345]) ).
thf(2349,plain,
! [SV289: b,SV255: b > $o,SV254: set_b] :
( ( ( ~ ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV254 )
| ~ ( SV255 @ SX0 ) ) )
@ SV254 )
| ~ ( SV255
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV254 )
| ~ ( SV255 @ SX0 ) ) ) ) )
= $false )
| ( ( member_b @ SV289 @ SV254 )
= $false )
| ( ( SV255 @ SV289 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2346]) ).
thf(2350,plain,
! [SV287: b,SV249: b > $o,SV248: set_b] :
( ( ( ~ ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV248 )
| ~ ( SV249 @ SX0 ) ) )
@ SV248 ) )
= $false )
| ( ( member_b @ SV287 @ SV248 )
= $false )
| ( ( SV249 @ SV287 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2347]) ).
thf(2351,plain,
! [SV287: b,SV248: set_b,SV249: b > $o] :
( ( ( ~ ( SV249
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV248 )
| ~ ( SV249 @ SX0 ) ) ) ) )
= $false )
| ( ( member_b @ SV287 @ SV248 )
= $false )
| ( ( SV249 @ SV287 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2347]) ).
thf(2352,plain,
! [SV288: b,SV252: b > $o,SV251: set_b] :
( ( ( ~ ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV251 )
| ~ ( SV252 @ SX0 ) ) )
@ SV251 ) )
= $false )
| ( ( member_b @ SV288 @ SV251 )
= $false )
| ( ( SV252 @ SV288 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2348]) ).
thf(2353,plain,
! [SV288: b,SV251: set_b,SV252: b > $o] :
( ( ( ~ ( SV252
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV251 )
| ~ ( SV252 @ SX0 ) ) ) ) )
= $false )
| ( ( member_b @ SV288 @ SV251 )
= $false )
| ( ( SV252 @ SV288 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2348]) ).
thf(2354,plain,
! [SV289: b,SV255: b > $o,SV254: set_b] :
( ( ( ~ ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV254 )
| ~ ( SV255 @ SX0 ) ) )
@ SV254 ) )
= $false )
| ( ( member_b @ SV289 @ SV254 )
= $false )
| ( ( SV255 @ SV289 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2349]) ).
thf(2355,plain,
! [SV289: b,SV254: set_b,SV255: b > $o] :
( ( ( ~ ( SV255
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV254 )
| ~ ( SV255 @ SX0 ) ) ) ) )
= $false )
| ( ( member_b @ SV289 @ SV254 )
= $false )
| ( ( SV255 @ SV289 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2349]) ).
thf(2356,plain,
! [SV287: b,SV249: b > $o,SV248: set_b] :
( ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV248 )
| ~ ( SV249 @ SX0 ) ) )
@ SV248 )
= $true )
| ( ( member_b @ SV287 @ SV248 )
= $false )
| ( ( SV249 @ SV287 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2350]) ).
thf(2357,plain,
! [SV287: b,SV248: set_b,SV249: b > $o] :
( ( ( SV249
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV248 )
| ~ ( SV249 @ SX0 ) ) ) )
= $true )
| ( ( member_b @ SV287 @ SV248 )
= $false )
| ( ( SV249 @ SV287 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2351]) ).
thf(2358,plain,
! [SV288: b,SV252: b > $o,SV251: set_b] :
( ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV251 )
| ~ ( SV252 @ SX0 ) ) )
@ SV251 )
= $true )
| ( ( member_b @ SV288 @ SV251 )
= $false )
| ( ( SV252 @ SV288 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2352]) ).
thf(2359,plain,
! [SV288: b,SV251: set_b,SV252: b > $o] :
( ( ( SV252
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV251 )
| ~ ( SV252 @ SX0 ) ) ) )
= $true )
| ( ( member_b @ SV288 @ SV251 )
= $false )
| ( ( SV252 @ SV288 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2353]) ).
thf(2360,plain,
! [SV289: b,SV255: b > $o,SV254: set_b] :
( ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV254 )
| ~ ( SV255 @ SX0 ) ) )
@ SV254 )
= $true )
| ( ( member_b @ SV289 @ SV254 )
= $false )
| ( ( SV255 @ SV289 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2354]) ).
thf(2361,plain,
! [SV289: b,SV254: set_b,SV255: b > $o] :
( ( ( SV255
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( ~ ( member_b @ SX0 @ SV254 )
| ~ ( SV255 @ SX0 ) ) ) )
= $true )
| ( ( member_b @ SV289 @ SV254 )
= $false )
| ( ( SV255 @ SV289 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2355]) ).
thf(2362,plain,
! [SV125: b,SV154: b] :
( ( ( SV154 = SV154 )
= $false )
| ( ( SV125 = SV154 )
= $true )
| ( ( ( hilbert_Eps_b
@ ^ [SX0: b] : ( SX0 = SV154 ) )
= SV125 )
= $false ) ),
inference(replace_leibnizEQ,[status(thm)],[1129:[bind(SV74,$thf( ^ [SV290: b] : ( SV290 = SV154 ) ))]]) ).
thf(2363,plain,
! [SV125: b,SV154: b] :
( ( ( SV125 = SV154 )
= $true )
| ( ( ( hilbert_Eps_b
@ ^ [SX0: b] : ( SX0 = SV154 ) )
= SV125 )
= $false ) ),
inference(sim,[status(thm)],[2362]) ).
thf(2365,plain,
! [SV260: b,SV194: b > $o] :
( ( ( SV194 @ SV260 )
= $false )
| ( ( ( SV194 @ SV260 )
= ( ~ ( SV194 @ ( hilbert_Eps_b @ SV194 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[2305]) ).
thf(2369,plain,
! [SV43: b] :
( ( ( ( hilbert_Eps_b @ ( p @ ( hilbert_Eps_b @ ( p @ SV43 ) ) ) )
= ( hilbert_Eps_b @ ( p @ SV43 ) ) )
= $true )
| ( ( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV43 @ bot_bot_set_b ) )
= bot_bot_set_b )
= ( ( hilbert_Eps_b @ ( p @ ( hilbert_Eps_b @ ( p @ SV43 ) ) ) )
= ( hilbert_Eps_b @ ( p @ SV43 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[860]) ).
thf(2370,plain,
! [SV43: b] :
( ( ( ( hilbert_Eps_b @ ( p @ ( hilbert_Eps_b @ ( p @ SV43 ) ) ) )
= ( hilbert_Eps_b @ ( p @ SV43 ) ) )
= $true )
| ( ( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV43 @ bot_bot_set_b ) )
= bot_bot_set_b )
= ( ( hilbert_Eps_b @ ( p @ ( hilbert_Eps_b @ ( p @ SV43 ) ) ) )
= ( hilbert_Eps_b @ ( p @ SV43 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[860]) ).
thf(2371,plain,
! [SV43: b] :
( ( ( ( hilbert_Eps_b @ ( p @ ( hilbert_Eps_b @ ( p @ SV43 ) ) ) )
= ( hilbert_Eps_b @ ( p @ SV43 ) ) )
= $true )
| ( ( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV43 @ bot_bot_set_b ) )
= bot_bot_set_b )
= ( ( hilbert_Eps_b @ ( p @ ( hilbert_Eps_b @ ( p @ SV43 ) ) ) )
= ( hilbert_Eps_b @ ( p @ SV43 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[860]) ).
thf(2372,plain,
! [SV36: set_b] :
( ( ( SV36 = bot_bot_set_b )
= $true )
| ( ( ( member_b @ ( sK1_SY224 @ SV36 ) @ SV36 )
= ( SV36 = bot_bot_set_b ) )
= $false ) ),
inference(fac_restr,[status(thm)],[928]) ).
thf(2373,plain,
! [SV57: set_b,SV111: b] :
( ( ( SV57 = bot_bot_set_b )
= $false )
| ( ( ( member_b @ SV111 @ SV57 )
= ( SV57 = bot_bot_set_b ) )
= $false ) ),
inference(fac_restr,[status(thm)],[947]) ).
thf(2374,plain,
! [SV265: b,SV204: b > $o] :
( ( ( SV204 @ SV265 )
= $false )
| ( ( ( SV204 @ SV265 )
= ( ~ ( SV204 @ ( hilbert_Eps_b @ SV204 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[2310]) ).
thf(2375,plain,
! [SV266: b,SV206: b > $o] :
( ( ( SV206 @ SV266 )
= $false )
| ( ( ( SV206 @ SV266 )
= ( ~ ( SV206 @ ( hilbert_Eps_b @ SV206 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[2311]) ).
thf(2376,plain,
! [SV99: b,SV44: b > $o] :
( ( ( SV44 @ SV99 )
= $false )
| ( ( ( SV44 @ SV99 )
= ( ( collect_b
@ ^ [SY320: b] :
~ ( ( SV99 != SY320 )
| ~ ( SV44 @ SY320 ) ) )
!= ( insert_b @ SV99 @ bot_bot_set_b ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[1092]) ).
thf(2377,plain,
! [SV141: set_b,SV47: b,SV102: set_b] :
( ( ( member_b @ SV47 @ SV102 )
= $true )
| ( ( ( ( ord_less_eq_set_b @ SV102 @ ( insert_b @ SV47 @ SV141 ) )
= ( ord_less_eq_set_b @ SV102 @ SV141 ) )
= ( member_b @ SV47 @ SV102 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[1096]) ).
thf(2378,plain,
! [SV104: set_b,SV49: b] :
( ( ( member_b @ SV49 @ SV104 )
= $false )
| ( ( ( member_b @ SV49 @ ( sK9_SY326 @ SV49 @ SV104 ) )
= ( member_b @ SV49 @ SV104 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[1098]) ).
thf(2379,plain,
! [SV69: set_b,SV121: set_b] :
( ( ( ord_less_eq_set_b @ SV69 @ SV121 )
= $true )
| ( ( ( member_b @ ( sK3_SY345 @ SV121 @ SV69 ) @ SV69 )
= ( ord_less_eq_set_b @ SV69 @ SV121 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[1122]) ).
thf(2380,plain,
! [SV124: b,SV73: b > $o] :
( ( ( SV73 @ SV124 )
= $false )
| ( ( ( SV73 @ SV124 )
= ( ( collect_b
@ ^ [SY349: b] :
~ ( ( SY349 != SV124 )
| ~ ( SV73 @ SY349 ) ) )
!= ( insert_b @ SV124 @ bot_bot_set_b ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[1127]) ).
thf(2381,plain,
! [SV267: b,SV208: b > $o] :
( ( ( SV208 @ SV267 )
= $false )
| ( ( ( SV208 @ SV267 )
= ( ~ ( SV208 @ ( hilbert_Eps_b @ SV208 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[2312]) ).
thf(2382,plain,
! [SV99: b,SV44: b > $o] :
( ( ( SV44 @ SV99 )
= $true )
| ( ( ( SV44 @ SV99 )
= ( ( collect_b
@ ^ [SY321: b] :
~ ( ( SV99 != SY321 )
| ~ ( SV44 @ SY321 ) ) )
= bot_bot_set_b ) )
= $false ) ),
inference(fac_restr,[status(thm)],[1197]) ).
thf(2384,plain,
! [SV268: b,SV210: b > $o] :
( ( ( SV210 @ SV268 )
= $false )
| ( ( ( SV210 @ SV268 )
= ( ~ ( SV210 @ ( hilbert_Eps_b @ SV210 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[2313]) ).
thf(2386,plain,
! [SV269: b,SV212: b > $o] :
( ( ( SV212 @ SV269 )
= $false )
| ( ( ( SV212 @ SV269 )
= ( ~ ( SV212 @ ( hilbert_Eps_b @ SV212 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[2314]) ).
thf(2387,plain,
! [SV270: b,SV214: b > $o] :
( ( ( SV214 @ SV270 )
= $false )
| ( ( ( SV214 @ SV270 )
= ( ~ ( SV214 @ ( hilbert_Eps_b @ SV214 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[2315]) ).
thf(2388,plain,
! [SV124: b,SV73: b > $o] :
( ( ( SV73 @ SV124 )
= $true )
| ( ( ( SV73 @ SV124 )
= ( ( collect_b
@ ^ [SY350: b] :
~ ( ( SY350 != SV124 )
| ~ ( SV73 @ SY350 ) ) )
= bot_bot_set_b ) )
= $false ) ),
inference(fac_restr,[status(thm)],[1233]) ).
thf(2389,plain,
! [SV19: b,SV89: b > $o] :
( ( ( SV89 @ SV19 )
= $true )
| ( ( ( SV89 @ SV19 )
= ( ~ ( member_b @ SV19 @ ( collect_b @ SV89 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[1255]) ).
thf(2390,plain,
! [SV89: b > $o,SV19: b] :
( ( ( SV89 @ SV19 )
= $false )
| ( ( ( SV89 @ SV19 )
= ( ~ ( member_b @ SV19 @ ( collect_b @ SV89 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[1256]) ).
thf(2392,plain,
! [SV23: b] :
( ( ( member_b @ SV23 @ ( labele1424214014nt_a_b @ g ) )
= $true )
| ( ( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV23 @ bot_bot_set_b ) )
= bot_bot_set_b )
= ( member_b @ SV23 @ ( labele1424214014nt_a_b @ g ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[1263]) ).
thf(2393,plain,
! [SV273: b,SV220: b > $o] :
( ( ( SV220 @ SV273 )
= $false )
| ( ( ( SV220 @ SV273 )
= ( ~ ( SV220 @ ( hilbert_Eps_b @ SV220 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[2318]) ).
thf(2394,plain,
! [SV274: b,SV222: b > $o] :
( ( ( SV222 @ SV274 )
= $false )
| ( ( ( SV222 @ SV274 )
= ( ~ ( SV222 @ ( hilbert_Eps_b @ SV222 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[2319]) ).
thf(2395,plain,
! [SV70: set_b] :
( ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SY283: b] : ( member_b @ SY283 @ SV70 ) )
@ SV70 )
= $false )
| ( ( ( SV70 = bot_bot_set_b )
= ( member_b
@ ( hilbert_Eps_b
@ ^ [SY283: b] : ( member_b @ SY283 @ SV70 ) )
@ SV70 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[1332]) ).
thf(2396,plain,
! [SV70: set_b] :
( ( ( SV70 = bot_bot_set_b )
= $true )
| ( ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SY283: b] : ( member_b @ SY283 @ SV70 ) )
@ SV70 )
= ( SV70 = bot_bot_set_b ) )
= $false ) ),
inference(fac_restr,[status(thm)],[1333]) ).
thf(2397,plain,
! [SV277: b,SV228: b > $o] :
( ( ( SV228 @ SV277 )
= $false )
| ( ( ( SV228 @ SV277 )
= ( ~ ( SV228 @ ( hilbert_Eps_b @ SV228 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[2322]) ).
thf(2398,plain,
! [SV278: b,SV230: b > $o] :
( ( ( SV230 @ SV278 )
= $false )
| ( ( ( SV230 @ SV278 )
= ( ~ ( SV230 @ ( hilbert_Eps_b @ SV230 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[2323]) ).
thf(2399,plain,
! [SV173: b,SV9: b > $o] :
( ( ( SV9 @ SV173 )
= $false )
| ( ( ( SV9 @ SV173 )
= ( bot_bot_set_b
= ( collect_b @ SV9 ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[1345]) ).
thf(2400,plain,
! [SV9: b > $o] :
( ( ( SV9 @ ( sK5_SY206 @ SV9 ) )
= $true )
| ( ( ( bot_bot_set_b
= ( collect_b @ SV9 ) )
= ( SV9 @ ( sK5_SY206 @ SV9 ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[1346]) ).
thf(2401,plain,
! [SV174: b,SV10: b > $o] :
( ( ( SV10 @ SV174 )
= $false )
| ( ( ( SV10 @ SV174 )
= ( ( collect_b @ SV10 )
= bot_bot_set_b ) )
= $false ) ),
inference(fac_restr,[status(thm)],[1348]) ).
thf(2402,plain,
! [SV10: b > $o] :
( ( ( SV10 @ ( sK6_SY207 @ SV10 ) )
= $true )
| ( ( ( ( collect_b @ SV10 )
= bot_bot_set_b )
= ( SV10 @ ( sK6_SY207 @ SV10 ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[1349]) ).
thf(2403,plain,
! [SV11: set_b] :
( ( ( member_b @ ( sK7_SY208 @ SV11 ) @ SV11 )
= $true )
| ( ( ( SV11 = bot_bot_set_b )
= ( member_b @ ( sK7_SY208 @ SV11 ) @ SV11 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[1352]) ).
thf(2404,plain,
! [SV11: set_b,SV175: b] :
( ( ( SV11 = bot_bot_set_b )
= $false )
| ( ( ( member_b @ SV175 @ SV11 )
= ( SV11 = bot_bot_set_b ) )
= $false ) ),
inference(fac_restr,[status(thm)],[1353]) ).
thf(2405,plain,
! [SV279: b,SV232: b > $o] :
( ( ( SV232 @ SV279 )
= $false )
| ( ( ( SV232 @ SV279 )
= ( ~ ( SV232 @ ( hilbert_Eps_b @ SV232 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[2324]) ).
thf(2406,plain,
! [SV97: set_b,SV41: b] :
( ( ( member_b @ SV41 @ SV97 )
= $false )
| ( ( ( member_b @ SV41 @ ( sK8_SY318 @ SV41 @ SV97 ) )
= ( member_b @ SV41 @ SV97 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[1474]) ).
thf(2407,plain,
! [SV58: b > $o] :
( ( ( SV58 @ ( sK16_SY259 @ SV58 ) )
= $true )
| ( ( ( SV58 @ ( sK16_SY259 @ SV58 ) )
= ( ~ ( SV58 @ ( hilbert_Eps_b @ SV58 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[1490]) ).
thf(2408,plain,
! [SV280: b,SV234: b > $o] :
( ( ( SV234 @ SV280 )
= $false )
| ( ( ( SV234 @ SV280 )
= ( ~ ( SV234 @ ( hilbert_Eps_b @ SV234 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[2325]) ).
thf(2409,plain,
! [SV281: b,SV236: b > $o] :
( ( ( SV236 @ SV281 )
= $false )
| ( ( ( SV236 @ SV281 )
= ( ~ ( SV236 @ ( hilbert_Eps_b @ SV236 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[2326]) ).
thf(2410,plain,
! [SV282: b,SV238: b > $o] :
( ( ( SV238 @ SV282 )
= $false )
| ( ( ( SV238 @ SV282 )
= ( ~ ( SV238 @ ( hilbert_Eps_b @ SV238 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[2327]) ).
thf(2411,plain,
! [SV283: b,SV240: b > $o] :
( ( ( SV240 @ SV283 )
= $false )
| ( ( ( SV240 @ SV283 )
= ( ~ ( SV240 @ ( hilbert_Eps_b @ SV240 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[2328]) ).
thf(2412,plain,
! [SV176: b,SV9: b > $o] :
( ( ( SV9 @ SV176 )
= $false )
| ( ( ( SV9 @ SV176 )
= ( ~ ( SV9 @ ( sK5_SY206 @ SV9 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[1513]) ).
thf(2413,plain,
! [SV177: b,SV10: b > $o] :
( ( ( SV10 @ SV177 )
= $false )
| ( ( ( SV10 @ SV177 )
= ( ~ ( SV10 @ ( sK6_SY207 @ SV10 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[1514]) ).
thf(2414,plain,
! [SV170: b,SV65: set_b] :
( ( ( member_b @ SV170 @ SV65 )
= $false )
| ( ( ( SV65 = bot_bot_set_b )
= ( member_b @ SV170 @ SV65 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[1557]) ).
thf(2415,plain,
! [SV65: set_b] :
( ( ( SV65 = bot_bot_set_b )
= $true )
| ( ( ( member_b @ ( sK19_SY274 @ SV65 ) @ SV65 )
= ( SV65 = bot_bot_set_b ) )
= $false ) ),
inference(fac_restr,[status(thm)],[1558]) ).
thf(2416,plain,
! [SV284: b,SV242: b > $o] :
( ( ( SV242 @ SV284 )
= $false )
| ( ( ( SV242 @ SV284 )
= ( ~ ( SV242 @ ( hilbert_Eps_b @ SV242 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[2329]) ).
thf(2417,plain,
! [SV162: set_b,SV101: set_b] :
( ( ( member_b @ ( sK14_SY373 @ SV162 @ SV101 ) @ SV101 )
= $true )
| ( ( ( ord_less_eq_set_b @ SV101 @ SV162 )
= ( member_b @ ( sK14_SY373 @ SV162 @ SV101 ) @ SV101 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[1653]) ).
thf(2418,plain,
! [SV165: set_b,SV132: set_b] :
( ( ( member_b @ ( sK15_SY375 @ SV165 @ SV132 ) @ SV132 )
= $true )
| ( ( ( ord_less_eq_set_b @ SV132 @ SV165 )
= ( member_b @ ( sK15_SY375 @ SV165 @ SV132 ) @ SV132 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[1677]) ).
thf(2419,plain,
! [SV285: b,SV244: b > $o] :
( ( ( SV244 @ SV285 )
= $false )
| ( ( ( SV244 @ SV285 )
= ( ~ ( SV244 @ ( hilbert_Eps_b @ SV244 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[2330]) ).
thf(2420,plain,
! [SV286: b,SV246: b > $o] :
( ( ( SV246 @ SV286 )
= $false )
| ( ( ( SV246 @ SV286 )
= ( ~ ( SV246 @ ( hilbert_Eps_b @ SV246 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[2331]) ).
thf(2421,plain,
! [SV292: b] :
( ( ( p @ SV292 )
= ( ^ [SY424: b] : ( member_b @ SY424 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV292 @ bot_bot_set_b ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[582]) ).
thf(2422,plain,
! [SV293: b] :
( ( ( insert_b @ SV293 )
= ( ^ [SY425: set_b] :
( collect_b
@ ^ [SY426: b] :
( ( SY426 = SV293 )
| ( member_b @ SY426 @ SY425 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[603]) ).
thf(2423,plain,
! [SV294: b] :
( ( ( bot_bot_b_o @ SV294 )
= ( member_b @ SV294 @ bot_bot_set_b ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[608]) ).
thf(2424,plain,
! [SV295: set_Product_prod_b_b] :
( ( ( equiv_proj_b_b @ SV295 )
= ( ^ [SY427: b] : ( image_b_b @ SV295 @ ( insert_b @ SY427 @ bot_bot_set_b ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[612]) ).
thf(2425,plain,
! [SV296: set_b] :
( ( ( ord_less_eq_set_b @ SV296 )
= ( ^ [SY428: set_b] :
! [SY429: b] :
( ~ ( member_b @ SY429 @ SV296 )
| ( member_b @ SY429 @ SY428 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[634]) ).
thf(2426,plain,
! [SV297: set_b] :
( ( ( is_singleton_b @ SV297 )
= ( ~ ! [SY430: b] :
( SV297
!= ( insert_b @ SY430 @ bot_bot_set_b ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[644]) ).
thf(2427,plain,
! [SV298: set_b] :
( ( ( ord_less_eq_set_b @ SV298 )
= ( ^ [SY431: set_b] :
! [SY432: b] :
( ~ ( member_b @ SY432 @ SV298 )
| ( member_b @ SY432 @ SY431 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[671]) ).
thf(2428,plain,
! [SV83: b,SV299: b] :
( ( ( p @ SV83 @ SV299 )
= ( member_b @ SV299 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV83 @ bot_bot_set_b ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[754]) ).
thf(2429,plain,
! [SV90: b,SV300: set_b] :
( ( ( insert_b @ SV90 @ SV300 )
= ( collect_b
@ ^ [SY433: b] :
( ( SY433 = SV90 )
| ( member_b @ SY433 @ SV300 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[763]) ).
thf(2430,plain,
! [SV93: set_Product_prod_b_b,SV301: b] :
( ( ( equiv_proj_b_b @ SV93 @ SV301 )
= ( image_b_b @ SV93 @ ( insert_b @ SV301 @ bot_bot_set_b ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[770]) ).
thf(2431,plain,
! [SV101: set_b,SV302: set_b] :
( ( ( ord_less_eq_set_b @ SV101 @ SV302 )
= ( ! [SY434: b] :
( ~ ( member_b @ SY434 @ SV101 )
| ( member_b @ SY434 @ SV302 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[792]) ).
thf(2432,plain,
! [SV132: set_b,SV303: set_b] :
( ( ( ord_less_eq_set_b @ SV132 @ SV303 )
= ( ! [SY435: b] :
( ~ ( member_b @ SY435 @ SV132 )
| ( member_b @ SY435 @ SV303 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[829]) ).
thf(2439,plain,
! [SV294: b] :
( ( ( bot_bot_b_o @ SV294 )
= $true )
| ( ( member_b @ SV294 @ bot_bot_set_b )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2423]) ).
thf(2440,plain,
! [SV294: b] :
( ( ( bot_bot_b_o @ SV294 )
= $false )
| ( ( member_b @ SV294 @ bot_bot_set_b )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2423]) ).
thf(2441,plain,
! [SV297: set_b] :
( ( ( is_singleton_b @ SV297 )
= $true )
| ( ( ~ ! [SY430: b] :
( SV297
!= ( insert_b @ SY430 @ bot_bot_set_b ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2426]) ).
thf(2442,plain,
! [SV297: set_b] :
( ( ( is_singleton_b @ SV297 )
= $false )
| ( ( ~ ! [SY430: b] :
( SV297
!= ( insert_b @ SY430 @ bot_bot_set_b ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2426]) ).
thf(2443,plain,
! [SV9: b > $o] :
( ( ( bot_bot_set_b
= ( collect_b @ SV9 ) )
= $true )
| ( ( ! [SY206: b] :
~ ( SV9 @ SY206 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[676]) ).
thf(2445,plain,
! [SV10: b > $o] :
( ( ( ( collect_b @ SV10 )
= bot_bot_set_b )
= $true )
| ( ( ! [SY207: b] :
~ ( SV10 @ SY207 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[678]) ).
thf(2447,plain,
! [SV11: set_b] :
( ( ( ! [SY208: b] :
~ ( member_b @ SY208 @ SV11 ) )
= $true )
| ( ( SV11 = bot_bot_set_b )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[680]) ).
thf(2448,plain,
! [SV11: set_b] :
( ( ( ! [SY208: b] :
~ ( member_b @ SY208 @ SV11 ) )
= $false )
| ( ( SV11 = bot_bot_set_b )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[680]) ).
thf(2449,plain,
! [SV23: b] :
( ( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV23 @ bot_bot_set_b ) )
= bot_bot_set_b )
= $true )
| ( ( ~ ( member_b @ SV23 @ ( labele1424214014nt_a_b @ g ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[691]) ).
thf(2451,plain,
! [SV30: set_b] :
( ( ( ord_less_eq_set_b @ SV30 @ bot_bot_set_b )
= $true )
| ( ( SV30 = bot_bot_set_b )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[695]) ).
thf(2452,plain,
! [SV30: set_b] :
( ( ( ord_less_eq_set_b @ SV30 @ bot_bot_set_b )
= $false )
| ( ( SV30 = bot_bot_set_b )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[695]) ).
thf(2453,plain,
! [SV31: set_b] :
( ( ( ord_less_eq_set_b @ SV31 @ bot_bot_set_b )
= $true )
| ( ( SV31 = bot_bot_set_b )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[697]) ).
thf(2454,plain,
! [SV31: set_b] :
( ( ( ord_less_eq_set_b @ SV31 @ bot_bot_set_b )
= $false )
| ( ( SV31 = bot_bot_set_b )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[697]) ).
thf(2455,plain,
! [SV58: b > $o] :
( ( ( SV58 @ ( hilbert_Eps_b @ SV58 ) )
= $true )
| ( ( ~ ! [SY259: b] :
~ ( SV58 @ SY259 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[726]) ).
thf(2456,plain,
! [SV58: b > $o] :
( ( ( SV58 @ ( hilbert_Eps_b @ SV58 ) )
= $false )
| ( ( ~ ! [SY259: b] :
~ ( SV58 @ SY259 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[726]) ).
thf(2457,plain,
! [SV65: set_b] :
( ( ( ~ ! [SY274: b] :
~ ( member_b @ SY274 @ SV65 ) )
= $true )
| ( ( SV65 != bot_bot_set_b )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[734]) ).
thf(2458,plain,
! [SV65: set_b] :
( ( ( ~ ! [SY274: b] :
~ ( member_b @ SY274 @ SV65 ) )
= $false )
| ( ( SV65 != bot_bot_set_b )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[734]) ).
thf(2459,plain,
! [SV70: set_b] :
( ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SY283: b] : ( member_b @ SY283 @ SV70 ) )
@ SV70 )
= $true )
| ( ( SV70 != bot_bot_set_b )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[740]) ).
thf(2460,plain,
! [SV70: set_b] :
( ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SY283: b] : ( member_b @ SY283 @ SV70 ) )
@ SV70 )
= $false )
| ( ( SV70 != bot_bot_set_b )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[740]) ).
thf(2461,plain,
! [SV83: b,SV299: b] :
( ( ( p @ SV83 @ SV299 )
= $true )
| ( ( member_b @ SV299 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV83 @ bot_bot_set_b ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2428]) ).
thf(2462,plain,
! [SV83: b,SV299: b] :
( ( ( p @ SV83 @ SV299 )
= $false )
| ( ( member_b @ SV299 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV83 @ bot_bot_set_b ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2428]) ).
thf(2463,plain,
! [SV89: b > $o,SV19: b] :
( ( ( member_b @ SV19 @ ( collect_b @ SV89 ) )
= $true )
| ( ( SV89 @ SV19 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[761]) ).
thf(2464,plain,
! [SV89: b > $o,SV19: b] :
( ( ( member_b @ SV19 @ ( collect_b @ SV89 ) )
= $false )
| ( ( SV89 @ SV19 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[761]) ).
thf(2465,plain,
! [SV91: b,SV22: b] :
( ( ( member_b @ SV22 @ ( insert_b @ SV91 @ bot_bot_set_b ) )
= $true )
| ( ( SV22 = SV91 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[765]) ).
thf(2466,plain,
! [SV91: b,SV22: b] :
( ( ( member_b @ SV22 @ ( insert_b @ SV91 @ bot_bot_set_b ) )
= $false )
| ( ( SV22 = SV91 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[765]) ).
thf(2467,plain,
! [SV92: b] :
( ( ( bot_bot_b_o @ SV92 )
= $true )
| ( ( member_b @ SV92 @ bot_bot_set_b )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[768]) ).
thf(2468,plain,
! [SV92: b] :
( ( ( bot_bot_b_o @ SV92 )
= $false )
| ( ( member_b @ SV92 @ bot_bot_set_b )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[768]) ).
thf(2469,plain,
! [SV95: b,SV34: set_b] :
( ( ( ord_less_eq_set_b @ SV34 @ ( insert_b @ SV95 @ bot_bot_set_b ) )
= $true )
| ( ( ( SV34 = bot_bot_set_b )
| ( SV34
= ( insert_b @ SV95 @ bot_bot_set_b ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[774]) ).
thf(2470,plain,
! [SV95: b,SV34: set_b] :
( ( ( ord_less_eq_set_b @ SV34 @ ( insert_b @ SV95 @ bot_bot_set_b ) )
= $false )
| ( ( ( SV34 = bot_bot_set_b )
| ( SV34
= ( insert_b @ SV95 @ bot_bot_set_b ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[774]) ).
thf(2471,plain,
! [SV101: set_b,SV302: set_b] :
( ( ( ord_less_eq_set_b @ SV101 @ SV302 )
= $true )
| ( ( ! [SY434: b] :
( ~ ( member_b @ SY434 @ SV101 )
| ( member_b @ SY434 @ SV302 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2431]) ).
thf(2472,plain,
! [SV101: set_b,SV302: set_b] :
( ( ( ord_less_eq_set_b @ SV101 @ SV302 )
= $false )
| ( ( ! [SY434: b] :
( ~ ( member_b @ SY434 @ SV101 )
| ( member_b @ SY434 @ SV302 ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2431]) ).
thf(2473,plain,
! [SV109: set_b] :
( ( ( is_singleton_b @ SV109 )
= $true )
| ( ( ~ ! [SY332: b] :
( SV109
!= ( insert_b @ SY332 @ bot_bot_set_b ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[802]) ).
thf(2474,plain,
! [SV109: set_b] :
( ( ( is_singleton_b @ SV109 )
= $false )
| ( ( ~ ! [SY332: b] :
( SV109
!= ( insert_b @ SY332 @ bot_bot_set_b ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[802]) ).
thf(2475,plain,
! [SV132: set_b,SV303: set_b] :
( ( ( ord_less_eq_set_b @ SV132 @ SV303 )
= $true )
| ( ( ! [SY435: b] :
( ~ ( member_b @ SY435 @ SV132 )
| ( member_b @ SY435 @ SV303 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2432]) ).
thf(2476,plain,
! [SV132: set_b,SV303: set_b] :
( ( ( ord_less_eq_set_b @ SV132 @ SV303 )
= $false )
| ( ( ! [SY435: b] :
( ~ ( member_b @ SY435 @ SV132 )
| ( member_b @ SY435 @ SV303 ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2432]) ).
thf(2477,plain,
! [SV135: set_b,SV86: b,SV14: b] :
( ( ( member_b @ SV14 @ ( insert_b @ SV86 @ SV135 ) )
= $true )
| ( ( ( SV14 = SV86 )
| ( member_b @ SV14 @ SV135 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[835]) ).
thf(2478,plain,
! [SV135: set_b,SV86: b,SV14: b] :
( ( ( member_b @ SV14 @ ( insert_b @ SV86 @ SV135 ) )
= $false )
| ( ( ( SV14 = SV86 )
| ( member_b @ SV14 @ SV135 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[835]) ).
thf(2485,plain,
! [SV145: set_b,SV107: set_b,SV53: b] :
( ( ( ord_less_eq_set_b @ ( insert_b @ SV53 @ SV107 ) @ SV145 )
= $true )
| ( ( ~ ( ~ ( member_b @ SV53 @ SV145 )
| ~ ( ord_less_eq_set_b @ SV107 @ SV145 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[872]) ).
thf(2486,plain,
! [SV145: set_b,SV107: set_b,SV53: b] :
( ( ( ord_less_eq_set_b @ ( insert_b @ SV53 @ SV107 ) @ SV145 )
= $false )
| ( ( ~ ( ~ ( member_b @ SV53 @ SV145 )
| ~ ( ord_less_eq_set_b @ SV107 @ SV145 ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[872]) ).
thf(2487,plain,
! [SV146: b,SV108: set_b,SV54: b] :
( ( ( ( insert_b @ SV54 @ SV108 )
= ( insert_b @ SV146 @ bot_bot_set_b ) )
= $true )
| ( ( ~ ( ( SV54 != SV146 )
| ~ ( ord_less_eq_set_b @ SV108 @ ( insert_b @ SV146 @ bot_bot_set_b ) ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[874]) ).
thf(2488,plain,
! [SV146: b,SV108: set_b,SV54: b] :
( ( ( ( insert_b @ SV54 @ SV108 )
= ( insert_b @ SV146 @ bot_bot_set_b ) )
= $false )
| ( ( ~ ( ( SV54 != SV146 )
| ~ ( ord_less_eq_set_b @ SV108 @ ( insert_b @ SV146 @ bot_bot_set_b ) ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[874]) ).
thf(2489,plain,
! [SV151: set_b,SV117: b,SV64: b] :
( ( ( ( insert_b @ SV64 @ bot_bot_set_b )
= ( insert_b @ SV117 @ SV151 ) )
= $true )
| ( ( ~ ( ( SV117 != SV64 )
| ~ ( ord_less_eq_set_b @ SV151 @ ( insert_b @ SV64 @ bot_bot_set_b ) ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[885]) ).
thf(2490,plain,
! [SV151: set_b,SV117: b,SV64: b] :
( ( ( ( insert_b @ SV64 @ bot_bot_set_b )
= ( insert_b @ SV117 @ SV151 ) )
= $false )
| ( ( ~ ( ( SV117 != SV64 )
| ~ ( ord_less_eq_set_b @ SV151 @ ( insert_b @ SV64 @ bot_bot_set_b ) ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[885]) ).
thf(2491,plain,
! [SV159: b,SV83: b] :
( ( ( p @ SV83 @ SV159 )
= $true )
| ( ( member_b @ SV159 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV83 @ bot_bot_set_b ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[904]) ).
thf(2492,plain,
! [SV159: b,SV83: b] :
( ( ( p @ SV83 @ SV159 )
= $false )
| ( ( member_b @ SV159 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV83 @ bot_bot_set_b ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[904]) ).
thf(2493,plain,
! [SV162: set_b,SV101: set_b] :
( ( ( ord_less_eq_set_b @ SV101 @ SV162 )
= $true )
| ( ( ! [SY373: b] :
( ~ ( member_b @ SY373 @ SV101 )
| ( member_b @ SY373 @ SV162 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[936]) ).
thf(2494,plain,
! [SV162: set_b,SV101: set_b] :
( ( ( ord_less_eq_set_b @ SV101 @ SV162 )
= $false )
| ( ( ! [SY373: b] :
( ~ ( member_b @ SY373 @ SV101 )
| ( member_b @ SY373 @ SV162 ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[936]) ).
thf(2495,plain,
! [SV163: b,SV148: b,SV112: b,SV59: b] :
( ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
= $true )
| ( ( ~ ( ( SV59 != SV148 )
| ( SV112 != SV163 ) )
| ~ ( ( SV59 != SV163 )
| ( SV112 != SV148 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[951]) ).
thf(2496,plain,
! [SV163: b,SV148: b,SV112: b,SV59: b] :
( ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
= $false )
| ( ( ~ ( ( SV59 != SV148 )
| ( SV112 != SV163 ) )
| ~ ( ( SV59 != SV163 )
| ( SV112 != SV148 ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[951]) ).
thf(2497,plain,
! [SV165: set_b,SV132: set_b] :
( ( ( ord_less_eq_set_b @ SV132 @ SV165 )
= $true )
| ( ( ! [SY375: b] :
( ~ ( member_b @ SY375 @ SV132 )
| ( member_b @ SY375 @ SV165 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[973]) ).
thf(2498,plain,
! [SV165: set_b,SV132: set_b] :
( ( ( ord_less_eq_set_b @ SV132 @ SV165 )
= $false )
| ( ( ! [SY375: b] :
( ~ ( member_b @ SY375 @ SV132 )
| ( member_b @ SY375 @ SV165 ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[973]) ).
thf(2499,plain,
! [SV141: set_b,SV47: b,SV102: set_b] :
( ( ( member_b @ SV47 @ SV102 )
= $true )
| ( ( ord_less_eq_set_b @ SV102 @ ( insert_b @ SV47 @ SV141 ) )
= $true )
| ( ( ord_less_eq_set_b @ SV102 @ SV141 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1096]) ).
thf(2500,plain,
! [SV141: set_b,SV47: b,SV102: set_b] :
( ( ( member_b @ SV47 @ SV102 )
= $true )
| ( ( ord_less_eq_set_b @ SV102 @ ( insert_b @ SV47 @ SV141 ) )
= $false )
| ( ( ord_less_eq_set_b @ SV102 @ SV141 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1096]) ).
thf(2551,plain,
! [SV164: set_b,SV153: b,SV123: set_b,SV72: b] :
( ( ( member_b @ SV72 @ SV123 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $true )
| ( ( ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1506]) ).
thf(2552,plain,
! [SV164: set_b,SV153: b,SV123: set_b,SV72: b] :
( ( ( member_b @ SV72 @ SV123 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $false )
| ( ( ~ ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1506]) ).
thf(2553,plain,
! [SV260: b,SV194: b > $o] :
( ( ( ~ ( ( SV194 @ SV260 )
| ~ ( SV194 @ ( hilbert_Eps_b @ SV194 ) ) )
| ~ ( ~ ( SV194 @ SV260 )
| ~ ~ ( SV194 @ ( hilbert_Eps_b @ SV194 ) ) ) )
= $false )
| ( ( SV194 @ SV260 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2365]) ).
thf(2554,plain,
! [SV260: b,SV194: b > $o] :
( ( ( ( SV194 @ SV260 )
= ( ~ ( SV194 @ ( hilbert_Eps_b @ SV194 ) ) ) )
= $false )
| ( ( SV194 @ SV260 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2365]) ).
thf(2567,plain,
! [SV43: b] :
( ( ( ~ ( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV43 @ bot_bot_set_b ) )
= bot_bot_set_b )
| ( ( hilbert_Eps_b @ ( p @ ( hilbert_Eps_b @ ( p @ SV43 ) ) ) )
= ( hilbert_Eps_b @ ( p @ SV43 ) ) ) )
| ~ ( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV43 @ bot_bot_set_b ) )
!= bot_bot_set_b )
| ( ( hilbert_Eps_b @ ( p @ ( hilbert_Eps_b @ ( p @ SV43 ) ) ) )
!= ( hilbert_Eps_b @ ( p @ SV43 ) ) ) ) )
= $false )
| ( ( ( hilbert_Eps_b @ ( p @ ( hilbert_Eps_b @ ( p @ SV43 ) ) ) )
= ( hilbert_Eps_b @ ( p @ SV43 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2369]) ).
thf(2569,plain,
! [SV43: b] :
( ( ( ~ ( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV43 @ bot_bot_set_b ) )
= bot_bot_set_b )
| ( ( hilbert_Eps_b @ ( p @ ( hilbert_Eps_b @ ( p @ SV43 ) ) ) )
= ( hilbert_Eps_b @ ( p @ SV43 ) ) ) )
| ~ ( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV43 @ bot_bot_set_b ) )
!= bot_bot_set_b )
| ( ( hilbert_Eps_b @ ( p @ ( hilbert_Eps_b @ ( p @ SV43 ) ) ) )
!= ( hilbert_Eps_b @ ( p @ SV43 ) ) ) ) )
= $false )
| ( ( ( hilbert_Eps_b @ ( p @ ( hilbert_Eps_b @ ( p @ SV43 ) ) ) )
= ( hilbert_Eps_b @ ( p @ SV43 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2370]) ).
thf(2571,plain,
! [SV43: b] :
( ( ( ~ ( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV43 @ bot_bot_set_b ) )
= bot_bot_set_b )
| ( ( hilbert_Eps_b @ ( p @ ( hilbert_Eps_b @ ( p @ SV43 ) ) ) )
= ( hilbert_Eps_b @ ( p @ SV43 ) ) ) )
| ~ ( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV43 @ bot_bot_set_b ) )
!= bot_bot_set_b )
| ( ( hilbert_Eps_b @ ( p @ ( hilbert_Eps_b @ ( p @ SV43 ) ) ) )
!= ( hilbert_Eps_b @ ( p @ SV43 ) ) ) ) )
= $false )
| ( ( ( hilbert_Eps_b @ ( p @ ( hilbert_Eps_b @ ( p @ SV43 ) ) ) )
= ( hilbert_Eps_b @ ( p @ SV43 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2371]) ).
thf(2573,plain,
! [SV36: set_b] :
( ( ( ~ ( ( member_b @ ( sK1_SY224 @ SV36 ) @ SV36 )
| ( SV36 = bot_bot_set_b ) )
| ~ ( ~ ( member_b @ ( sK1_SY224 @ SV36 ) @ SV36 )
| ( SV36 != bot_bot_set_b ) ) )
= $false )
| ( ( SV36 = bot_bot_set_b )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2372]) ).
thf(2575,plain,
! [SV57: set_b,SV111: b] :
( ( ( ~ ( ( member_b @ SV111 @ SV57 )
| ( SV57 = bot_bot_set_b ) )
| ~ ( ~ ( member_b @ SV111 @ SV57 )
| ( SV57 != bot_bot_set_b ) ) )
= $false )
| ( ( SV57 = bot_bot_set_b )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2373]) ).
thf(2577,plain,
! [SV265: b,SV204: b > $o] :
( ( ( ~ ( ( SV204 @ SV265 )
| ~ ( SV204 @ ( hilbert_Eps_b @ SV204 ) ) )
| ~ ( ~ ( SV204 @ SV265 )
| ~ ~ ( SV204 @ ( hilbert_Eps_b @ SV204 ) ) ) )
= $false )
| ( ( SV204 @ SV265 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2374]) ).
thf(2578,plain,
! [SV265: b,SV204: b > $o] :
( ( ( ( SV204 @ SV265 )
= ( ~ ( SV204 @ ( hilbert_Eps_b @ SV204 ) ) ) )
= $false )
| ( ( SV204 @ SV265 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2374]) ).
thf(2579,plain,
! [SV266: b,SV206: b > $o] :
( ( ( ~ ( ( SV206 @ SV266 )
| ~ ( SV206 @ ( hilbert_Eps_b @ SV206 ) ) )
| ~ ( ~ ( SV206 @ SV266 )
| ~ ~ ( SV206 @ ( hilbert_Eps_b @ SV206 ) ) ) )
= $false )
| ( ( SV206 @ SV266 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2375]) ).
thf(2580,plain,
! [SV266: b,SV206: b > $o] :
( ( ( ( SV206 @ SV266 )
= ( ~ ( SV206 @ ( hilbert_Eps_b @ SV206 ) ) ) )
= $false )
| ( ( SV206 @ SV266 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2375]) ).
thf(2581,plain,
! [SV99: b,SV44: b > $o] :
( ( ( ~ ( ( SV44 @ SV99 )
| ( ( collect_b
@ ^ [SY320: b] :
~ ( ( SV99 != SY320 )
| ~ ( SV44 @ SY320 ) ) )
!= ( insert_b @ SV99 @ bot_bot_set_b ) ) )
| ~ ( ~ ( SV44 @ SV99 )
| ~ ( ( ( collect_b
@ ^ [SY320: b] :
~ ( ( SV99 != SY320 )
| ~ ( SV44 @ SY320 ) ) )
!= ( insert_b @ SV99 @ bot_bot_set_b ) ) ) ) )
= $false )
| ( ( SV44 @ SV99 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2376]) ).
thf(2582,plain,
! [SV99: b,SV44: b > $o] :
( ( ( ( SV44 @ SV99 )
= ( ( collect_b
@ ^ [SY320: b] :
~ ( ( SV99 != SY320 )
| ~ ( SV44 @ SY320 ) ) )
!= ( insert_b @ SV99 @ bot_bot_set_b ) ) )
= $false )
| ( ( SV44 @ SV99 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2376]) ).
thf(2583,plain,
! [SV141: set_b,SV47: b,SV102: set_b] :
( ( ( ~ ( ( ( ord_less_eq_set_b @ SV102 @ ( insert_b @ SV47 @ SV141 ) )
= ( ord_less_eq_set_b @ SV102 @ SV141 ) )
| ( member_b @ SV47 @ SV102 ) )
| ~ ( ( ( ord_less_eq_set_b @ SV102 @ ( insert_b @ SV47 @ SV141 ) )
!= ( ord_less_eq_set_b @ SV102 @ SV141 ) )
| ~ ( member_b @ SV47 @ SV102 ) ) )
= $false )
| ( ( member_b @ SV47 @ SV102 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2377]) ).
thf(2585,plain,
! [SV104: set_b,SV49: b] :
( ( ( ~ ( ( member_b @ SV49 @ ( sK9_SY326 @ SV49 @ SV104 ) )
| ( member_b @ SV49 @ SV104 ) )
| ~ ( ~ ( member_b @ SV49 @ ( sK9_SY326 @ SV49 @ SV104 ) )
| ~ ( member_b @ SV49 @ SV104 ) ) )
= $false )
| ( ( member_b @ SV49 @ SV104 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2378]) ).
thf(2587,plain,
! [SV69: set_b,SV121: set_b] :
( ( ( ~ ( ( member_b @ ( sK3_SY345 @ SV121 @ SV69 ) @ SV69 )
| ( ord_less_eq_set_b @ SV69 @ SV121 ) )
| ~ ( ~ ( member_b @ ( sK3_SY345 @ SV121 @ SV69 ) @ SV69 )
| ~ ( ord_less_eq_set_b @ SV69 @ SV121 ) ) )
= $false )
| ( ( ord_less_eq_set_b @ SV69 @ SV121 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2379]) ).
thf(2589,plain,
! [SV124: b,SV73: b > $o] :
( ( ( ~ ( ( SV73 @ SV124 )
| ( ( collect_b
@ ^ [SY349: b] :
~ ( ( SY349 != SV124 )
| ~ ( SV73 @ SY349 ) ) )
!= ( insert_b @ SV124 @ bot_bot_set_b ) ) )
| ~ ( ~ ( SV73 @ SV124 )
| ~ ( ( ( collect_b
@ ^ [SY349: b] :
~ ( ( SY349 != SV124 )
| ~ ( SV73 @ SY349 ) ) )
!= ( insert_b @ SV124 @ bot_bot_set_b ) ) ) ) )
= $false )
| ( ( SV73 @ SV124 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2380]) ).
thf(2590,plain,
! [SV124: b,SV73: b > $o] :
( ( ( ( SV73 @ SV124 )
= ( ( collect_b
@ ^ [SY349: b] :
~ ( ( SY349 != SV124 )
| ~ ( SV73 @ SY349 ) ) )
!= ( insert_b @ SV124 @ bot_bot_set_b ) ) )
= $false )
| ( ( SV73 @ SV124 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2380]) ).
thf(2591,plain,
! [SV267: b,SV208: b > $o] :
( ( ( ~ ( ( SV208 @ SV267 )
| ~ ( SV208 @ ( hilbert_Eps_b @ SV208 ) ) )
| ~ ( ~ ( SV208 @ SV267 )
| ~ ~ ( SV208 @ ( hilbert_Eps_b @ SV208 ) ) ) )
= $false )
| ( ( SV208 @ SV267 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2381]) ).
thf(2592,plain,
! [SV267: b,SV208: b > $o] :
( ( ( ( SV208 @ SV267 )
= ( ~ ( SV208 @ ( hilbert_Eps_b @ SV208 ) ) ) )
= $false )
| ( ( SV208 @ SV267 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2381]) ).
thf(2593,plain,
! [SV99: b,SV44: b > $o] :
( ( ( ~ ( ( SV44 @ SV99 )
| ( ( collect_b
@ ^ [SY321: b] :
~ ( ( SV99 != SY321 )
| ~ ( SV44 @ SY321 ) ) )
= bot_bot_set_b ) )
| ~ ( ~ ( SV44 @ SV99 )
| ( ( collect_b
@ ^ [SY321: b] :
~ ( ( SV99 != SY321 )
| ~ ( SV44 @ SY321 ) ) )
!= bot_bot_set_b ) ) )
= $false )
| ( ( SV44 @ SV99 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2382]) ).
thf(2594,plain,
! [SV99: b,SV44: b > $o] :
( ( ( ( SV44 @ SV99 )
= ( ( collect_b
@ ^ [SY321: b] :
~ ( ( SV99 != SY321 )
| ~ ( SV44 @ SY321 ) ) )
= bot_bot_set_b ) )
= $false )
| ( ( SV44 @ SV99 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2382]) ).
thf(2597,plain,
! [SV268: b,SV210: b > $o] :
( ( ( ~ ( ( SV210 @ SV268 )
| ~ ( SV210 @ ( hilbert_Eps_b @ SV210 ) ) )
| ~ ( ~ ( SV210 @ SV268 )
| ~ ~ ( SV210 @ ( hilbert_Eps_b @ SV210 ) ) ) )
= $false )
| ( ( SV210 @ SV268 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2384]) ).
thf(2598,plain,
! [SV268: b,SV210: b > $o] :
( ( ( ( SV210 @ SV268 )
= ( ~ ( SV210 @ ( hilbert_Eps_b @ SV210 ) ) ) )
= $false )
| ( ( SV210 @ SV268 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2384]) ).
thf(2601,plain,
! [SV269: b,SV212: b > $o] :
( ( ( ~ ( ( SV212 @ SV269 )
| ~ ( SV212 @ ( hilbert_Eps_b @ SV212 ) ) )
| ~ ( ~ ( SV212 @ SV269 )
| ~ ~ ( SV212 @ ( hilbert_Eps_b @ SV212 ) ) ) )
= $false )
| ( ( SV212 @ SV269 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2386]) ).
thf(2602,plain,
! [SV269: b,SV212: b > $o] :
( ( ( ( SV212 @ SV269 )
= ( ~ ( SV212 @ ( hilbert_Eps_b @ SV212 ) ) ) )
= $false )
| ( ( SV212 @ SV269 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2386]) ).
thf(2603,plain,
! [SV270: b,SV214: b > $o] :
( ( ( ~ ( ( SV214 @ SV270 )
| ~ ( SV214 @ ( hilbert_Eps_b @ SV214 ) ) )
| ~ ( ~ ( SV214 @ SV270 )
| ~ ~ ( SV214 @ ( hilbert_Eps_b @ SV214 ) ) ) )
= $false )
| ( ( SV214 @ SV270 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2387]) ).
thf(2604,plain,
! [SV270: b,SV214: b > $o] :
( ( ( ( SV214 @ SV270 )
= ( ~ ( SV214 @ ( hilbert_Eps_b @ SV214 ) ) ) )
= $false )
| ( ( SV214 @ SV270 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2387]) ).
thf(2605,plain,
! [SV124: b,SV73: b > $o] :
( ( ( ~ ( ( SV73 @ SV124 )
| ( ( collect_b
@ ^ [SY350: b] :
~ ( ( SY350 != SV124 )
| ~ ( SV73 @ SY350 ) ) )
= bot_bot_set_b ) )
| ~ ( ~ ( SV73 @ SV124 )
| ( ( collect_b
@ ^ [SY350: b] :
~ ( ( SY350 != SV124 )
| ~ ( SV73 @ SY350 ) ) )
!= bot_bot_set_b ) ) )
= $false )
| ( ( SV73 @ SV124 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2388]) ).
thf(2606,plain,
! [SV124: b,SV73: b > $o] :
( ( ( ( SV73 @ SV124 )
= ( ( collect_b
@ ^ [SY350: b] :
~ ( ( SY350 != SV124 )
| ~ ( SV73 @ SY350 ) ) )
= bot_bot_set_b ) )
= $false )
| ( ( SV73 @ SV124 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2388]) ).
thf(2607,plain,
! [SV19: b,SV89: b > $o] :
( ( ( ~ ( ( SV89 @ SV19 )
| ~ ( member_b @ SV19 @ ( collect_b @ SV89 ) ) )
| ~ ( ~ ( SV89 @ SV19 )
| ~ ~ ( member_b @ SV19 @ ( collect_b @ SV89 ) ) ) )
= $false )
| ( ( SV89 @ SV19 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2389]) ).
thf(2608,plain,
! [SV19: b,SV89: b > $o] :
( ( ( ( SV89 @ SV19 )
= ( ~ ( member_b @ SV19 @ ( collect_b @ SV89 ) ) ) )
= $false )
| ( ( SV89 @ SV19 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2389]) ).
thf(2609,plain,
! [SV19: b,SV89: b > $o] :
( ( ( ~ ( ( SV89 @ SV19 )
| ~ ( member_b @ SV19 @ ( collect_b @ SV89 ) ) )
| ~ ( ~ ( SV89 @ SV19 )
| ~ ~ ( member_b @ SV19 @ ( collect_b @ SV89 ) ) ) )
= $false )
| ( ( SV89 @ SV19 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2390]) ).
thf(2610,plain,
! [SV19: b,SV89: b > $o] :
( ( ( ( SV89 @ SV19 )
= ( ~ ( member_b @ SV19 @ ( collect_b @ SV89 ) ) ) )
= $false )
| ( ( SV89 @ SV19 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2390]) ).
thf(2613,plain,
! [SV23: b] :
( ( ( ~ ( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV23 @ bot_bot_set_b ) )
= bot_bot_set_b )
| ( member_b @ SV23 @ ( labele1424214014nt_a_b @ g ) ) )
| ~ ( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV23 @ bot_bot_set_b ) )
!= bot_bot_set_b )
| ~ ( member_b @ SV23 @ ( labele1424214014nt_a_b @ g ) ) ) )
= $false )
| ( ( member_b @ SV23 @ ( labele1424214014nt_a_b @ g ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2392]) ).
thf(2615,plain,
! [SV273: b,SV220: b > $o] :
( ( ( ~ ( ( SV220 @ SV273 )
| ~ ( SV220 @ ( hilbert_Eps_b @ SV220 ) ) )
| ~ ( ~ ( SV220 @ SV273 )
| ~ ~ ( SV220 @ ( hilbert_Eps_b @ SV220 ) ) ) )
= $false )
| ( ( SV220 @ SV273 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2393]) ).
thf(2616,plain,
! [SV273: b,SV220: b > $o] :
( ( ( ( SV220 @ SV273 )
= ( ~ ( SV220 @ ( hilbert_Eps_b @ SV220 ) ) ) )
= $false )
| ( ( SV220 @ SV273 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2393]) ).
thf(2617,plain,
! [SV274: b,SV222: b > $o] :
( ( ( ~ ( ( SV222 @ SV274 )
| ~ ( SV222 @ ( hilbert_Eps_b @ SV222 ) ) )
| ~ ( ~ ( SV222 @ SV274 )
| ~ ~ ( SV222 @ ( hilbert_Eps_b @ SV222 ) ) ) )
= $false )
| ( ( SV222 @ SV274 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2394]) ).
thf(2618,plain,
! [SV274: b,SV222: b > $o] :
( ( ( ( SV222 @ SV274 )
= ( ~ ( SV222 @ ( hilbert_Eps_b @ SV222 ) ) ) )
= $false )
| ( ( SV222 @ SV274 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2394]) ).
thf(2619,plain,
! [SV70: set_b] :
( ( ( ~ ( ( SV70 = bot_bot_set_b )
| ( member_b
@ ( hilbert_Eps_b
@ ^ [SY283: b] : ( member_b @ SY283 @ SV70 ) )
@ SV70 ) )
| ~ ( ( SV70 != bot_bot_set_b )
| ~ ( member_b
@ ( hilbert_Eps_b
@ ^ [SY283: b] : ( member_b @ SY283 @ SV70 ) )
@ SV70 ) ) )
= $false )
| ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SY283: b] : ( member_b @ SY283 @ SV70 ) )
@ SV70 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2395]) ).
thf(2621,plain,
! [SV70: set_b] :
( ( ( ~ ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SY283: b] : ( member_b @ SY283 @ SV70 ) )
@ SV70 )
| ( SV70 = bot_bot_set_b ) )
| ~ ( ~ ( member_b
@ ( hilbert_Eps_b
@ ^ [SY283: b] : ( member_b @ SY283 @ SV70 ) )
@ SV70 )
| ( SV70 != bot_bot_set_b ) ) )
= $false )
| ( ( SV70 = bot_bot_set_b )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2396]) ).
thf(2623,plain,
! [SV277: b,SV228: b > $o] :
( ( ( ~ ( ( SV228 @ SV277 )
| ~ ( SV228 @ ( hilbert_Eps_b @ SV228 ) ) )
| ~ ( ~ ( SV228 @ SV277 )
| ~ ~ ( SV228 @ ( hilbert_Eps_b @ SV228 ) ) ) )
= $false )
| ( ( SV228 @ SV277 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2397]) ).
thf(2624,plain,
! [SV277: b,SV228: b > $o] :
( ( ( ( SV228 @ SV277 )
= ( ~ ( SV228 @ ( hilbert_Eps_b @ SV228 ) ) ) )
= $false )
| ( ( SV228 @ SV277 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2397]) ).
thf(2625,plain,
! [SV278: b,SV230: b > $o] :
( ( ( ~ ( ( SV230 @ SV278 )
| ~ ( SV230 @ ( hilbert_Eps_b @ SV230 ) ) )
| ~ ( ~ ( SV230 @ SV278 )
| ~ ~ ( SV230 @ ( hilbert_Eps_b @ SV230 ) ) ) )
= $false )
| ( ( SV230 @ SV278 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2398]) ).
thf(2626,plain,
! [SV278: b,SV230: b > $o] :
( ( ( ( SV230 @ SV278 )
= ( ~ ( SV230 @ ( hilbert_Eps_b @ SV230 ) ) ) )
= $false )
| ( ( SV230 @ SV278 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2398]) ).
thf(2628,plain,
! [SV173: b,SV9: b > $o] :
( ( ( ( SV9 @ SV173 )
= ( bot_bot_set_b
= ( collect_b @ SV9 ) ) )
= $false )
| ( ( SV9 @ SV173 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2399]) ).
thf(2629,plain,
! [SV9: b > $o] :
( ( ( ~ ( ( bot_bot_set_b
= ( collect_b @ SV9 ) )
| ( SV9 @ ( sK5_SY206 @ SV9 ) ) )
| ~ ( ( bot_bot_set_b
!= ( collect_b @ SV9 ) )
| ~ ( SV9 @ ( sK5_SY206 @ SV9 ) ) ) )
= $false )
| ( ( SV9 @ ( sK5_SY206 @ SV9 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2400]) ).
thf(2632,plain,
! [SV174: b,SV10: b > $o] :
( ( ( ( SV10 @ SV174 )
= ( ( collect_b @ SV10 )
= bot_bot_set_b ) )
= $false )
| ( ( SV10 @ SV174 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2401]) ).
thf(2633,plain,
! [SV10: b > $o] :
( ( ( ~ ( ( ( collect_b @ SV10 )
= bot_bot_set_b )
| ( SV10 @ ( sK6_SY207 @ SV10 ) ) )
| ~ ( ( ( collect_b @ SV10 )
!= bot_bot_set_b )
| ~ ( SV10 @ ( sK6_SY207 @ SV10 ) ) ) )
= $false )
| ( ( SV10 @ ( sK6_SY207 @ SV10 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2402]) ).
thf(2635,plain,
! [SV11: set_b] :
( ( ( ~ ( ( SV11 = bot_bot_set_b )
| ( member_b @ ( sK7_SY208 @ SV11 ) @ SV11 ) )
| ~ ( ( SV11 != bot_bot_set_b )
| ~ ( member_b @ ( sK7_SY208 @ SV11 ) @ SV11 ) ) )
= $false )
| ( ( member_b @ ( sK7_SY208 @ SV11 ) @ SV11 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2403]) ).
thf(2637,plain,
! [SV11: set_b,SV175: b] :
( ( ( ~ ( ( member_b @ SV175 @ SV11 )
| ( SV11 = bot_bot_set_b ) )
| ~ ( ~ ( member_b @ SV175 @ SV11 )
| ( SV11 != bot_bot_set_b ) ) )
= $false )
| ( ( SV11 = bot_bot_set_b )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2404]) ).
thf(2639,plain,
! [SV279: b,SV232: b > $o] :
( ( ( ~ ( ( SV232 @ SV279 )
| ~ ( SV232 @ ( hilbert_Eps_b @ SV232 ) ) )
| ~ ( ~ ( SV232 @ SV279 )
| ~ ~ ( SV232 @ ( hilbert_Eps_b @ SV232 ) ) ) )
= $false )
| ( ( SV232 @ SV279 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2405]) ).
thf(2640,plain,
! [SV279: b,SV232: b > $o] :
( ( ( ( SV232 @ SV279 )
= ( ~ ( SV232 @ ( hilbert_Eps_b @ SV232 ) ) ) )
= $false )
| ( ( SV232 @ SV279 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2405]) ).
thf(2641,plain,
! [SV97: set_b,SV41: b] :
( ( ( ~ ( ( member_b @ SV41 @ ( sK8_SY318 @ SV41 @ SV97 ) )
| ( member_b @ SV41 @ SV97 ) )
| ~ ( ~ ( member_b @ SV41 @ ( sK8_SY318 @ SV41 @ SV97 ) )
| ~ ( member_b @ SV41 @ SV97 ) ) )
= $false )
| ( ( member_b @ SV41 @ SV97 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2406]) ).
thf(2643,plain,
! [SV58: b > $o] :
( ( ( ~ ( ( SV58 @ ( sK16_SY259 @ SV58 ) )
| ~ ( SV58 @ ( hilbert_Eps_b @ SV58 ) ) )
| ~ ( ~ ( SV58 @ ( sK16_SY259 @ SV58 ) )
| ~ ~ ( SV58 @ ( hilbert_Eps_b @ SV58 ) ) ) )
= $false )
| ( ( SV58 @ ( sK16_SY259 @ SV58 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2407]) ).
thf(2644,plain,
! [SV58: b > $o] :
( ( ( ( SV58 @ ( sK16_SY259 @ SV58 ) )
= ( ~ ( SV58 @ ( hilbert_Eps_b @ SV58 ) ) ) )
= $false )
| ( ( SV58 @ ( sK16_SY259 @ SV58 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2407]) ).
thf(2645,plain,
! [SV280: b,SV234: b > $o] :
( ( ( ~ ( ( SV234 @ SV280 )
| ~ ( SV234 @ ( hilbert_Eps_b @ SV234 ) ) )
| ~ ( ~ ( SV234 @ SV280 )
| ~ ~ ( SV234 @ ( hilbert_Eps_b @ SV234 ) ) ) )
= $false )
| ( ( SV234 @ SV280 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2408]) ).
thf(2646,plain,
! [SV280: b,SV234: b > $o] :
( ( ( ( SV234 @ SV280 )
= ( ~ ( SV234 @ ( hilbert_Eps_b @ SV234 ) ) ) )
= $false )
| ( ( SV234 @ SV280 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2408]) ).
thf(2647,plain,
! [SV281: b,SV236: b > $o] :
( ( ( ~ ( ( SV236 @ SV281 )
| ~ ( SV236 @ ( hilbert_Eps_b @ SV236 ) ) )
| ~ ( ~ ( SV236 @ SV281 )
| ~ ~ ( SV236 @ ( hilbert_Eps_b @ SV236 ) ) ) )
= $false )
| ( ( SV236 @ SV281 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2409]) ).
thf(2648,plain,
! [SV281: b,SV236: b > $o] :
( ( ( ( SV236 @ SV281 )
= ( ~ ( SV236 @ ( hilbert_Eps_b @ SV236 ) ) ) )
= $false )
| ( ( SV236 @ SV281 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2409]) ).
thf(2649,plain,
! [SV282: b,SV238: b > $o] :
( ( ( ~ ( ( SV238 @ SV282 )
| ~ ( SV238 @ ( hilbert_Eps_b @ SV238 ) ) )
| ~ ( ~ ( SV238 @ SV282 )
| ~ ~ ( SV238 @ ( hilbert_Eps_b @ SV238 ) ) ) )
= $false )
| ( ( SV238 @ SV282 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2410]) ).
thf(2650,plain,
! [SV282: b,SV238: b > $o] :
( ( ( ( SV238 @ SV282 )
= ( ~ ( SV238 @ ( hilbert_Eps_b @ SV238 ) ) ) )
= $false )
| ( ( SV238 @ SV282 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2410]) ).
thf(2651,plain,
! [SV283: b,SV240: b > $o] :
( ( ( ~ ( ( SV240 @ SV283 )
| ~ ( SV240 @ ( hilbert_Eps_b @ SV240 ) ) )
| ~ ( ~ ( SV240 @ SV283 )
| ~ ~ ( SV240 @ ( hilbert_Eps_b @ SV240 ) ) ) )
= $false )
| ( ( SV240 @ SV283 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2411]) ).
thf(2652,plain,
! [SV283: b,SV240: b > $o] :
( ( ( ( SV240 @ SV283 )
= ( ~ ( SV240 @ ( hilbert_Eps_b @ SV240 ) ) ) )
= $false )
| ( ( SV240 @ SV283 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2411]) ).
thf(2653,plain,
! [SV176: b,SV9: b > $o] :
( ( ( ~ ( ( SV9 @ SV176 )
| ~ ( SV9 @ ( sK5_SY206 @ SV9 ) ) )
| ~ ( ~ ( SV9 @ SV176 )
| ~ ~ ( SV9 @ ( sK5_SY206 @ SV9 ) ) ) )
= $false )
| ( ( SV9 @ SV176 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2412]) ).
thf(2654,plain,
! [SV176: b,SV9: b > $o] :
( ( ( ( SV9 @ SV176 )
= ( ~ ( SV9 @ ( sK5_SY206 @ SV9 ) ) ) )
= $false )
| ( ( SV9 @ SV176 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2412]) ).
thf(2655,plain,
! [SV177: b,SV10: b > $o] :
( ( ( ~ ( ( SV10 @ SV177 )
| ~ ( SV10 @ ( sK6_SY207 @ SV10 ) ) )
| ~ ( ~ ( SV10 @ SV177 )
| ~ ~ ( SV10 @ ( sK6_SY207 @ SV10 ) ) ) )
= $false )
| ( ( SV10 @ SV177 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2413]) ).
thf(2656,plain,
! [SV177: b,SV10: b > $o] :
( ( ( ( SV10 @ SV177 )
= ( ~ ( SV10 @ ( sK6_SY207 @ SV10 ) ) ) )
= $false )
| ( ( SV10 @ SV177 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2413]) ).
thf(2657,plain,
! [SV170: b,SV65: set_b] :
( ( ( ~ ( ( SV65 = bot_bot_set_b )
| ( member_b @ SV170 @ SV65 ) )
| ~ ( ( SV65 != bot_bot_set_b )
| ~ ( member_b @ SV170 @ SV65 ) ) )
= $false )
| ( ( member_b @ SV170 @ SV65 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2414]) ).
thf(2659,plain,
! [SV65: set_b] :
( ( ( ~ ( ( member_b @ ( sK19_SY274 @ SV65 ) @ SV65 )
| ( SV65 = bot_bot_set_b ) )
| ~ ( ~ ( member_b @ ( sK19_SY274 @ SV65 ) @ SV65 )
| ( SV65 != bot_bot_set_b ) ) )
= $false )
| ( ( SV65 = bot_bot_set_b )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2415]) ).
thf(2661,plain,
! [SV284: b,SV242: b > $o] :
( ( ( ~ ( ( SV242 @ SV284 )
| ~ ( SV242 @ ( hilbert_Eps_b @ SV242 ) ) )
| ~ ( ~ ( SV242 @ SV284 )
| ~ ~ ( SV242 @ ( hilbert_Eps_b @ SV242 ) ) ) )
= $false )
| ( ( SV242 @ SV284 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2416]) ).
thf(2662,plain,
! [SV284: b,SV242: b > $o] :
( ( ( ( SV242 @ SV284 )
= ( ~ ( SV242 @ ( hilbert_Eps_b @ SV242 ) ) ) )
= $false )
| ( ( SV242 @ SV284 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2416]) ).
thf(2663,plain,
! [SV162: set_b,SV101: set_b] :
( ( ( ~ ( ( ord_less_eq_set_b @ SV101 @ SV162 )
| ( member_b @ ( sK14_SY373 @ SV162 @ SV101 ) @ SV101 ) )
| ~ ( ~ ( ord_less_eq_set_b @ SV101 @ SV162 )
| ~ ( member_b @ ( sK14_SY373 @ SV162 @ SV101 ) @ SV101 ) ) )
= $false )
| ( ( member_b @ ( sK14_SY373 @ SV162 @ SV101 ) @ SV101 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2417]) ).
thf(2665,plain,
! [SV165: set_b,SV132: set_b] :
( ( ( ~ ( ( ord_less_eq_set_b @ SV132 @ SV165 )
| ( member_b @ ( sK15_SY375 @ SV165 @ SV132 ) @ SV132 ) )
| ~ ( ~ ( ord_less_eq_set_b @ SV132 @ SV165 )
| ~ ( member_b @ ( sK15_SY375 @ SV165 @ SV132 ) @ SV132 ) ) )
= $false )
| ( ( member_b @ ( sK15_SY375 @ SV165 @ SV132 ) @ SV132 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2418]) ).
thf(2667,plain,
! [SV285: b,SV244: b > $o] :
( ( ( ~ ( ( SV244 @ SV285 )
| ~ ( SV244 @ ( hilbert_Eps_b @ SV244 ) ) )
| ~ ( ~ ( SV244 @ SV285 )
| ~ ~ ( SV244 @ ( hilbert_Eps_b @ SV244 ) ) ) )
= $false )
| ( ( SV244 @ SV285 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2419]) ).
thf(2668,plain,
! [SV285: b,SV244: b > $o] :
( ( ( ( SV244 @ SV285 )
= ( ~ ( SV244 @ ( hilbert_Eps_b @ SV244 ) ) ) )
= $false )
| ( ( SV244 @ SV285 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2419]) ).
thf(2669,plain,
! [SV286: b,SV246: b > $o] :
( ( ( ~ ( ( SV246 @ SV286 )
| ~ ( SV246 @ ( hilbert_Eps_b @ SV246 ) ) )
| ~ ( ~ ( SV246 @ SV286 )
| ~ ~ ( SV246 @ ( hilbert_Eps_b @ SV246 ) ) ) )
= $false )
| ( ( SV246 @ SV286 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2420]) ).
thf(2670,plain,
! [SV286: b,SV246: b > $o] :
( ( ( ( SV246 @ SV286 )
= ( ~ ( SV246 @ ( hilbert_Eps_b @ SV246 ) ) ) )
= $false )
| ( ( SV246 @ SV286 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[2420]) ).
thf(2671,plain,
! [SV292: b] :
( ( ! [SV304: b] :
( ( p @ SV292 @ SV304 )
= ( member_b @ SV304 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV292 @ bot_bot_set_b ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2421]) ).
thf(2672,plain,
! [SV292: b] :
( ( ( p @ SV292 )
= ( ^ [SY424: b] : ( member_b @ SY424 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV292 @ bot_bot_set_b ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2421]) ).
thf(2673,plain,
! [SV293: b] :
( ( ! [SV305: set_b] :
( ( insert_b @ SV293 @ SV305 )
= ( collect_b
@ ^ [SY436: b] :
( ( SY436 = SV293 )
| ( member_b @ SY436 @ SV305 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2422]) ).
thf(2674,plain,
! [SV293: b] :
( ( ( insert_b @ SV293 )
= ( ^ [SY425: set_b] :
( collect_b
@ ^ [SY426: b] :
( ( SY426 = SV293 )
| ( member_b @ SY426 @ SY425 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2422]) ).
thf(2675,plain,
! [SV295: set_Product_prod_b_b] :
( ( ! [SV306: b] :
( ( equiv_proj_b_b @ SV295 @ SV306 )
= ( image_b_b @ SV295 @ ( insert_b @ SV306 @ bot_bot_set_b ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2424]) ).
thf(2676,plain,
! [SV295: set_Product_prod_b_b] :
( ( ( equiv_proj_b_b @ SV295 )
= ( ^ [SY427: b] : ( image_b_b @ SV295 @ ( insert_b @ SY427 @ bot_bot_set_b ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2424]) ).
thf(2677,plain,
! [SV296: set_b] :
( ( ! [SV307: set_b] :
( ( ord_less_eq_set_b @ SV296 @ SV307 )
= ( ! [SY437: b] :
( ~ ( member_b @ SY437 @ SV296 )
| ( member_b @ SY437 @ SV307 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2425]) ).
thf(2678,plain,
! [SV296: set_b] :
( ( ( ord_less_eq_set_b @ SV296 )
= ( ^ [SY428: set_b] :
! [SY429: b] :
( ~ ( member_b @ SY429 @ SV296 )
| ( member_b @ SY429 @ SY428 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2425]) ).
thf(2679,plain,
! [SV297: set_b] :
( ( ( ! [SY430: b] :
( SV297
!= ( insert_b @ SY430 @ bot_bot_set_b ) ) )
= $false )
| ( ( is_singleton_b @ SV297 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2442]) ).
thf(2680,plain,
! [SV297: set_b] :
( ( ( ! [SY430: b] :
( SV297
!= ( insert_b @ SY430 @ bot_bot_set_b ) ) )
= $true )
| ( ( is_singleton_b @ SV297 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2441]) ).
thf(2681,plain,
! [SV298: set_b] :
( ( ! [SV308: set_b] :
( ( ord_less_eq_set_b @ SV298 @ SV308 )
= ( ! [SY438: b] :
( ~ ( member_b @ SY438 @ SV298 )
| ( member_b @ SY438 @ SV308 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2427]) ).
thf(2682,plain,
! [SV298: set_b] :
( ( ( ord_less_eq_set_b @ SV298 )
= ( ^ [SY431: set_b] :
! [SY432: b] :
( ~ ( member_b @ SY432 @ SV298 )
| ( member_b @ SY432 @ SY431 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2427]) ).
thf(2684,plain,
! [SV9: b > $o] :
( ( ( ~ ( SV9 @ ( sK30_SY206 @ SV9 ) ) )
= $false )
| ( ( bot_bot_set_b
= ( collect_b @ SV9 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2443]) ).
thf(2686,plain,
! [SV10: b > $o] :
( ( ( ~ ( SV10 @ ( sK31_SY207 @ SV10 ) ) )
= $false )
| ( ( ( collect_b @ SV10 )
= bot_bot_set_b )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2445]) ).
thf(2687,plain,
! [SV11: set_b] :
( ( ( ~ ( member_b @ ( sK32_SY208 @ SV11 ) @ SV11 ) )
= $false )
| ( ( SV11 = bot_bot_set_b )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2448]) ).
thf(2688,plain,
! [SV11: set_b,SV311: b] :
( ( ( ~ ( member_b @ SV311 @ SV11 ) )
= $true )
| ( ( SV11 = bot_bot_set_b )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2447]) ).
thf(2690,plain,
! [SV23: b] :
( ( ( member_b @ SV23 @ ( labele1424214014nt_a_b @ g ) )
= $true )
| ( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV23 @ bot_bot_set_b ) )
= bot_bot_set_b )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2449]) ).
thf(2691,plain,
! [SV58: b > $o] :
( ( ( ! [SY259: b] :
~ ( SV58 @ SY259 ) )
= $false )
| ( ( SV58 @ ( hilbert_Eps_b @ SV58 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2456]) ).
thf(2692,plain,
! [SV58: b > $o] :
( ( ( ! [SY259: b] :
~ ( SV58 @ SY259 ) )
= $true )
| ( ( SV58 @ ( hilbert_Eps_b @ SV58 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2455]) ).
thf(2693,plain,
! [SV65: set_b] :
( ( ( ! [SY274: b] :
~ ( member_b @ SY274 @ SV65 ) )
= $true )
| ( ( SV65 != bot_bot_set_b )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2458]) ).
thf(2694,plain,
! [SV65: set_b] :
( ( ( ! [SY274: b] :
~ ( member_b @ SY274 @ SV65 ) )
= $false )
| ( ( SV65 != bot_bot_set_b )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2457]) ).
thf(2695,plain,
! [SV70: set_b] :
( ( ( SV70 = bot_bot_set_b )
= $false )
| ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SY283: b] : ( member_b @ SY283 @ SV70 ) )
@ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2460]) ).
thf(2696,plain,
! [SV70: set_b] :
( ( ( SV70 = bot_bot_set_b )
= $true )
| ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SY283: b] : ( member_b @ SY283 @ SV70 ) )
@ SV70 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2459]) ).
thf(2697,plain,
! [SV95: b,SV34: set_b] :
( ( ( SV34 = bot_bot_set_b )
= $true )
| ( ( SV34
= ( insert_b @ SV95 @ bot_bot_set_b ) )
= $true )
| ( ( ord_less_eq_set_b @ SV34 @ ( insert_b @ SV95 @ bot_bot_set_b ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2470]) ).
thf(2698,plain,
! [SV95: b,SV34: set_b] :
( ( ( SV34 = bot_bot_set_b )
= $false )
| ( ( ord_less_eq_set_b @ SV34 @ ( insert_b @ SV95 @ bot_bot_set_b ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2469]) ).
thf(2699,plain,
! [SV95: b,SV34: set_b] :
( ( ( SV34
= ( insert_b @ SV95 @ bot_bot_set_b ) )
= $false )
| ( ( ord_less_eq_set_b @ SV34 @ ( insert_b @ SV95 @ bot_bot_set_b ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2469]) ).
thf(2700,plain,
! [SV302: set_b,SV101: set_b,SV312: b] :
( ( ( ~ ( member_b @ SV312 @ SV101 )
| ( member_b @ SV312 @ SV302 ) )
= $true )
| ( ( ord_less_eq_set_b @ SV101 @ SV302 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2472]) ).
thf(2701,plain,
! [SV302: set_b,SV101: set_b] :
( ( ( ~ ( member_b @ ( sK33_SY434 @ SV101 @ SV302 ) @ SV101 )
| ( member_b @ ( sK33_SY434 @ SV101 @ SV302 ) @ SV302 ) )
= $false )
| ( ( ord_less_eq_set_b @ SV101 @ SV302 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2471]) ).
thf(2702,plain,
! [SV109: set_b] :
( ( ( ! [SY332: b] :
( SV109
!= ( insert_b @ SY332 @ bot_bot_set_b ) ) )
= $false )
| ( ( is_singleton_b @ SV109 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2474]) ).
thf(2703,plain,
! [SV109: set_b] :
( ( ( ! [SY332: b] :
( SV109
!= ( insert_b @ SY332 @ bot_bot_set_b ) ) )
= $true )
| ( ( is_singleton_b @ SV109 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2473]) ).
thf(2704,plain,
! [SV303: set_b,SV132: set_b,SV313: b] :
( ( ( ~ ( member_b @ SV313 @ SV132 )
| ( member_b @ SV313 @ SV303 ) )
= $true )
| ( ( ord_less_eq_set_b @ SV132 @ SV303 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2476]) ).
thf(2705,plain,
! [SV303: set_b,SV132: set_b] :
( ( ( ~ ( member_b @ ( sK34_SY435 @ SV132 @ SV303 ) @ SV132 )
| ( member_b @ ( sK34_SY435 @ SV132 @ SV303 ) @ SV303 ) )
= $false )
| ( ( ord_less_eq_set_b @ SV132 @ SV303 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2475]) ).
thf(2706,plain,
! [SV135: set_b,SV86: b,SV14: b] :
( ( ( SV14 = SV86 )
= $true )
| ( ( member_b @ SV14 @ SV135 )
= $true )
| ( ( member_b @ SV14 @ ( insert_b @ SV86 @ SV135 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2478]) ).
thf(2707,plain,
! [SV135: set_b,SV86: b,SV14: b] :
( ( ( SV14 = SV86 )
= $false )
| ( ( member_b @ SV14 @ ( insert_b @ SV86 @ SV135 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2477]) ).
thf(2708,plain,
! [SV86: b,SV135: set_b,SV14: b] :
( ( ( member_b @ SV14 @ SV135 )
= $false )
| ( ( member_b @ SV14 @ ( insert_b @ SV86 @ SV135 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2477]) ).
thf(2709,plain,
! [SV107: set_b,SV145: set_b,SV53: b] :
( ( ( ~ ( member_b @ SV53 @ SV145 )
| ~ ( ord_less_eq_set_b @ SV107 @ SV145 ) )
= $false )
| ( ( ord_less_eq_set_b @ ( insert_b @ SV53 @ SV107 ) @ SV145 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2486]) ).
thf(2710,plain,
! [SV107: set_b,SV145: set_b,SV53: b] :
( ( ( ~ ( member_b @ SV53 @ SV145 )
| ~ ( ord_less_eq_set_b @ SV107 @ SV145 ) )
= $true )
| ( ( ord_less_eq_set_b @ ( insert_b @ SV53 @ SV107 ) @ SV145 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2485]) ).
thf(2711,plain,
! [SV108: set_b,SV146: b,SV54: b] :
( ( ( ( SV54 != SV146 )
| ~ ( ord_less_eq_set_b @ SV108 @ ( insert_b @ SV146 @ bot_bot_set_b ) ) )
= $false )
| ( ( ( insert_b @ SV54 @ SV108 )
= ( insert_b @ SV146 @ bot_bot_set_b ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2488]) ).
thf(2712,plain,
! [SV108: set_b,SV146: b,SV54: b] :
( ( ( ( SV54 != SV146 )
| ~ ( ord_less_eq_set_b @ SV108 @ ( insert_b @ SV146 @ bot_bot_set_b ) ) )
= $true )
| ( ( ( insert_b @ SV54 @ SV108 )
= ( insert_b @ SV146 @ bot_bot_set_b ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2487]) ).
thf(2713,plain,
! [SV151: set_b,SV64: b,SV117: b] :
( ( ( ( SV117 != SV64 )
| ~ ( ord_less_eq_set_b @ SV151 @ ( insert_b @ SV64 @ bot_bot_set_b ) ) )
= $false )
| ( ( ( insert_b @ SV64 @ bot_bot_set_b )
= ( insert_b @ SV117 @ SV151 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2490]) ).
thf(2714,plain,
! [SV151: set_b,SV64: b,SV117: b] :
( ( ( ( SV117 != SV64 )
| ~ ( ord_less_eq_set_b @ SV151 @ ( insert_b @ SV64 @ bot_bot_set_b ) ) )
= $true )
| ( ( ( insert_b @ SV64 @ bot_bot_set_b )
= ( insert_b @ SV117 @ SV151 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2489]) ).
thf(2715,plain,
! [SV162: set_b,SV101: set_b,SV314: b] :
( ( ( ~ ( member_b @ SV314 @ SV101 )
| ( member_b @ SV314 @ SV162 ) )
= $true )
| ( ( ord_less_eq_set_b @ SV101 @ SV162 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2494]) ).
thf(2716,plain,
! [SV101: set_b,SV162: set_b] :
( ( ( ~ ( member_b @ ( sK35_SY373 @ SV162 @ SV101 ) @ SV101 )
| ( member_b @ ( sK35_SY373 @ SV162 @ SV101 ) @ SV162 ) )
= $false )
| ( ( ord_less_eq_set_b @ SV101 @ SV162 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2493]) ).
thf(2717,plain,
! [SV163: b,SV112: b,SV148: b,SV59: b] :
( ( ( ~ ( ( SV59 != SV148 )
| ( SV112 != SV163 ) ) )
= $true )
| ( ( ~ ( ( SV59 != SV163 )
| ( SV112 != SV148 ) ) )
= $true )
| ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2496]) ).
thf(2719,plain,
! [SV148: b,SV112: b,SV163: b,SV59: b] :
( ( ( ~ ( ( SV59 != SV163 )
| ( SV112 != SV148 ) ) )
= $false )
| ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2495]) ).
thf(2720,plain,
! [SV165: set_b,SV132: set_b,SV315: b] :
( ( ( ~ ( member_b @ SV315 @ SV132 )
| ( member_b @ SV315 @ SV165 ) )
= $true )
| ( ( ord_less_eq_set_b @ SV132 @ SV165 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2498]) ).
thf(2721,plain,
! [SV132: set_b,SV165: set_b] :
( ( ( ~ ( member_b @ ( sK36_SY375 @ SV165 @ SV132 ) @ SV132 )
| ( member_b @ ( sK36_SY375 @ SV165 @ SV132 ) @ SV165 ) )
= $false )
| ( ( ord_less_eq_set_b @ SV132 @ SV165 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2497]) ).
thf(2722,plain,
! [SV164: set_b,SV123: set_b,SV153: b,SV72: b] :
( ( ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) )
= $false )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $false )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2552]) ).
thf(2723,plain,
! [SV164: set_b,SV123: set_b,SV153: b,SV72: b] :
( ( ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
| ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) )
= $true )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2551]) ).
thf(2725,plain,
! [SV260: b,SV194: b > $o] :
( ( ( ~ ( ~ ( SV194 @ SV260 )
| ~ ~ ( SV194 @ ( hilbert_Eps_b @ SV194 ) ) ) )
= $false )
| ( ( SV194 @ SV260 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2553]) ).
thf(2738,plain,
! [SV43: b] :
( ( ( ~ ( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV43 @ bot_bot_set_b ) )
= bot_bot_set_b )
| ( ( hilbert_Eps_b @ ( p @ ( hilbert_Eps_b @ ( p @ SV43 ) ) ) )
= ( hilbert_Eps_b @ ( p @ SV43 ) ) ) ) )
= $false )
| ( ( ( hilbert_Eps_b @ ( p @ ( hilbert_Eps_b @ ( p @ SV43 ) ) ) )
= ( hilbert_Eps_b @ ( p @ SV43 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2567]) ).
thf(2740,plain,
! [SV43: b] :
( ( ( ~ ( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV43 @ bot_bot_set_b ) )
= bot_bot_set_b )
| ( ( hilbert_Eps_b @ ( p @ ( hilbert_Eps_b @ ( p @ SV43 ) ) ) )
= ( hilbert_Eps_b @ ( p @ SV43 ) ) ) ) )
= $false )
| ( ( ( hilbert_Eps_b @ ( p @ ( hilbert_Eps_b @ ( p @ SV43 ) ) ) )
= ( hilbert_Eps_b @ ( p @ SV43 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2569]) ).
thf(2742,plain,
! [SV43: b] :
( ( ( ~ ( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV43 @ bot_bot_set_b ) )
= bot_bot_set_b )
| ( ( hilbert_Eps_b @ ( p @ ( hilbert_Eps_b @ ( p @ SV43 ) ) ) )
= ( hilbert_Eps_b @ ( p @ SV43 ) ) ) ) )
= $false )
| ( ( ( hilbert_Eps_b @ ( p @ ( hilbert_Eps_b @ ( p @ SV43 ) ) ) )
= ( hilbert_Eps_b @ ( p @ SV43 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2571]) ).
thf(2744,plain,
! [SV36: set_b] :
( ( ( ~ ( ( member_b @ ( sK1_SY224 @ SV36 ) @ SV36 )
| ( SV36 = bot_bot_set_b ) ) )
= $false )
| ( ( SV36 = bot_bot_set_b )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2573]) ).
thf(2747,plain,
! [SV57: set_b,SV111: b] :
( ( ( ~ ( ~ ( member_b @ SV111 @ SV57 )
| ( SV57 != bot_bot_set_b ) ) )
= $false )
| ( ( SV57 = bot_bot_set_b )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2575]) ).
thf(2749,plain,
! [SV265: b,SV204: b > $o] :
( ( ( ~ ( ~ ( SV204 @ SV265 )
| ~ ~ ( SV204 @ ( hilbert_Eps_b @ SV204 ) ) ) )
= $false )
| ( ( SV204 @ SV265 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2577]) ).
thf(2751,plain,
! [SV266: b,SV206: b > $o] :
( ( ( ~ ( ~ ( SV206 @ SV266 )
| ~ ~ ( SV206 @ ( hilbert_Eps_b @ SV206 ) ) ) )
= $false )
| ( ( SV206 @ SV266 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2579]) ).
thf(2753,plain,
! [SV99: b,SV44: b > $o] :
( ( ( ~ ( ~ ( SV44 @ SV99 )
| ~ ( ( ( collect_b
@ ^ [SY320: b] :
~ ( ( SV99 != SY320 )
| ~ ( SV44 @ SY320 ) ) )
!= ( insert_b @ SV99 @ bot_bot_set_b ) ) ) ) )
= $false )
| ( ( SV44 @ SV99 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2581]) ).
thf(2754,plain,
! [SV141: set_b,SV47: b,SV102: set_b] :
( ( ( ~ ( ( ( ord_less_eq_set_b @ SV102 @ ( insert_b @ SV47 @ SV141 ) )
= ( ord_less_eq_set_b @ SV102 @ SV141 ) )
| ( member_b @ SV47 @ SV102 ) ) )
= $false )
| ( ( member_b @ SV47 @ SV102 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2583]) ).
thf(2757,plain,
! [SV104: set_b,SV49: b] :
( ( ( ~ ( ~ ( member_b @ SV49 @ ( sK9_SY326 @ SV49 @ SV104 ) )
| ~ ( member_b @ SV49 @ SV104 ) ) )
= $false )
| ( ( member_b @ SV49 @ SV104 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2585]) ).
thf(2758,plain,
! [SV69: set_b,SV121: set_b] :
( ( ( ~ ( ( member_b @ ( sK3_SY345 @ SV121 @ SV69 ) @ SV69 )
| ( ord_less_eq_set_b @ SV69 @ SV121 ) ) )
= $false )
| ( ( ord_less_eq_set_b @ SV69 @ SV121 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2587]) ).
thf(2761,plain,
! [SV124: b,SV73: b > $o] :
( ( ( ~ ( ~ ( SV73 @ SV124 )
| ~ ( ( ( collect_b
@ ^ [SY349: b] :
~ ( ( SY349 != SV124 )
| ~ ( SV73 @ SY349 ) ) )
!= ( insert_b @ SV124 @ bot_bot_set_b ) ) ) ) )
= $false )
| ( ( SV73 @ SV124 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2589]) ).
thf(2763,plain,
! [SV267: b,SV208: b > $o] :
( ( ( ~ ( ~ ( SV208 @ SV267 )
| ~ ~ ( SV208 @ ( hilbert_Eps_b @ SV208 ) ) ) )
= $false )
| ( ( SV208 @ SV267 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2591]) ).
thf(2764,plain,
! [SV99: b,SV44: b > $o] :
( ( ( ~ ( ( SV44 @ SV99 )
| ( ( collect_b
@ ^ [SY321: b] :
~ ( ( SV99 != SY321 )
| ~ ( SV44 @ SY321 ) ) )
= bot_bot_set_b ) ) )
= $false )
| ( ( SV44 @ SV99 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2593]) ).
thf(2769,plain,
! [SV268: b,SV210: b > $o] :
( ( ( ~ ( ~ ( SV210 @ SV268 )
| ~ ~ ( SV210 @ ( hilbert_Eps_b @ SV210 ) ) ) )
= $false )
| ( ( SV210 @ SV268 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2597]) ).
thf(2773,plain,
! [SV269: b,SV212: b > $o] :
( ( ( ~ ( ~ ( SV212 @ SV269 )
| ~ ~ ( SV212 @ ( hilbert_Eps_b @ SV212 ) ) ) )
= $false )
| ( ( SV212 @ SV269 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2601]) ).
thf(2775,plain,
! [SV270: b,SV214: b > $o] :
( ( ( ~ ( ~ ( SV214 @ SV270 )
| ~ ~ ( SV214 @ ( hilbert_Eps_b @ SV214 ) ) ) )
= $false )
| ( ( SV214 @ SV270 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2603]) ).
thf(2776,plain,
! [SV124: b,SV73: b > $o] :
( ( ( ~ ( ( SV73 @ SV124 )
| ( ( collect_b
@ ^ [SY350: b] :
~ ( ( SY350 != SV124 )
| ~ ( SV73 @ SY350 ) ) )
= bot_bot_set_b ) ) )
= $false )
| ( ( SV73 @ SV124 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2605]) ).
thf(2778,plain,
! [SV19: b,SV89: b > $o] :
( ( ( ~ ( ( SV89 @ SV19 )
| ~ ( member_b @ SV19 @ ( collect_b @ SV89 ) ) ) )
= $false )
| ( ( SV89 @ SV19 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2607]) ).
thf(2781,plain,
! [SV19: b,SV89: b > $o] :
( ( ( ~ ( ~ ( SV89 @ SV19 )
| ~ ~ ( member_b @ SV19 @ ( collect_b @ SV89 ) ) ) )
= $false )
| ( ( SV89 @ SV19 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2609]) ).
thf(2784,plain,
! [SV23: b] :
( ( ( ~ ( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV23 @ bot_bot_set_b ) )
= bot_bot_set_b )
| ( member_b @ SV23 @ ( labele1424214014nt_a_b @ g ) ) ) )
= $false )
| ( ( member_b @ SV23 @ ( labele1424214014nt_a_b @ g ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2613]) ).
thf(2787,plain,
! [SV273: b,SV220: b > $o] :
( ( ( ~ ( ~ ( SV220 @ SV273 )
| ~ ~ ( SV220 @ ( hilbert_Eps_b @ SV220 ) ) ) )
= $false )
| ( ( SV220 @ SV273 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2615]) ).
thf(2789,plain,
! [SV274: b,SV222: b > $o] :
( ( ( ~ ( ~ ( SV222 @ SV274 )
| ~ ~ ( SV222 @ ( hilbert_Eps_b @ SV222 ) ) ) )
= $false )
| ( ( SV222 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2617]) ).
thf(2791,plain,
! [SV70: set_b] :
( ( ( ~ ( ( SV70 != bot_bot_set_b )
| ~ ( member_b
@ ( hilbert_Eps_b
@ ^ [SY283: b] : ( member_b @ SY283 @ SV70 ) )
@ SV70 ) ) )
= $false )
| ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SY283: b] : ( member_b @ SY283 @ SV70 ) )
@ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2619]) ).
thf(2792,plain,
! [SV70: set_b] :
( ( ( ~ ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SY283: b] : ( member_b @ SY283 @ SV70 ) )
@ SV70 )
| ( SV70 = bot_bot_set_b ) ) )
= $false )
| ( ( SV70 = bot_bot_set_b )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2621]) ).
thf(2795,plain,
! [SV277: b,SV228: b > $o] :
( ( ( ~ ( ~ ( SV228 @ SV277 )
| ~ ~ ( SV228 @ ( hilbert_Eps_b @ SV228 ) ) ) )
= $false )
| ( ( SV228 @ SV277 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2623]) ).
thf(2797,plain,
! [SV278: b,SV230: b > $o] :
( ( ( ~ ( ~ ( SV230 @ SV278 )
| ~ ~ ( SV230 @ ( hilbert_Eps_b @ SV230 ) ) ) )
= $false )
| ( ( SV230 @ SV278 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2625]) ).
thf(2800,plain,
! [SV9: b > $o] :
( ( ( ~ ( ( bot_bot_set_b
= ( collect_b @ SV9 ) )
| ( SV9 @ ( sK5_SY206 @ SV9 ) ) ) )
= $false )
| ( ( SV9 @ ( sK5_SY206 @ SV9 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2629]) ).
thf(2804,plain,
! [SV10: b > $o] :
( ( ( ~ ( ( ( collect_b @ SV10 )
= bot_bot_set_b )
| ( SV10 @ ( sK6_SY207 @ SV10 ) ) ) )
= $false )
| ( ( SV10 @ ( sK6_SY207 @ SV10 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2633]) ).
thf(2806,plain,
! [SV11: set_b] :
( ( ( ~ ( ( SV11 = bot_bot_set_b )
| ( member_b @ ( sK7_SY208 @ SV11 ) @ SV11 ) ) )
= $false )
| ( ( member_b @ ( sK7_SY208 @ SV11 ) @ SV11 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2635]) ).
thf(2809,plain,
! [SV11: set_b,SV175: b] :
( ( ( ~ ( ~ ( member_b @ SV175 @ SV11 )
| ( SV11 != bot_bot_set_b ) ) )
= $false )
| ( ( SV11 = bot_bot_set_b )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2637]) ).
thf(2811,plain,
! [SV279: b,SV232: b > $o] :
( ( ( ~ ( ~ ( SV232 @ SV279 )
| ~ ~ ( SV232 @ ( hilbert_Eps_b @ SV232 ) ) ) )
= $false )
| ( ( SV232 @ SV279 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2639]) ).
thf(2813,plain,
! [SV97: set_b,SV41: b] :
( ( ( ~ ( ~ ( member_b @ SV41 @ ( sK8_SY318 @ SV41 @ SV97 ) )
| ~ ( member_b @ SV41 @ SV97 ) ) )
= $false )
| ( ( member_b @ SV41 @ SV97 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2641]) ).
thf(2814,plain,
! [SV58: b > $o] :
( ( ( ~ ( ( SV58 @ ( sK16_SY259 @ SV58 ) )
| ~ ( SV58 @ ( hilbert_Eps_b @ SV58 ) ) ) )
= $false )
| ( ( SV58 @ ( sK16_SY259 @ SV58 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2643]) ).
thf(2817,plain,
! [SV280: b,SV234: b > $o] :
( ( ( ~ ( ~ ( SV234 @ SV280 )
| ~ ~ ( SV234 @ ( hilbert_Eps_b @ SV234 ) ) ) )
= $false )
| ( ( SV234 @ SV280 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2645]) ).
thf(2819,plain,
! [SV281: b,SV236: b > $o] :
( ( ( ~ ( ~ ( SV236 @ SV281 )
| ~ ~ ( SV236 @ ( hilbert_Eps_b @ SV236 ) ) ) )
= $false )
| ( ( SV236 @ SV281 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2647]) ).
thf(2821,plain,
! [SV282: b,SV238: b > $o] :
( ( ( ~ ( ~ ( SV238 @ SV282 )
| ~ ~ ( SV238 @ ( hilbert_Eps_b @ SV238 ) ) ) )
= $false )
| ( ( SV238 @ SV282 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2649]) ).
thf(2823,plain,
! [SV283: b,SV240: b > $o] :
( ( ( ~ ( ~ ( SV240 @ SV283 )
| ~ ~ ( SV240 @ ( hilbert_Eps_b @ SV240 ) ) ) )
= $false )
| ( ( SV240 @ SV283 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2651]) ).
thf(2825,plain,
! [SV176: b,SV9: b > $o] :
( ( ( ~ ( ~ ( SV9 @ SV176 )
| ~ ~ ( SV9 @ ( sK5_SY206 @ SV9 ) ) ) )
= $false )
| ( ( SV9 @ SV176 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2653]) ).
thf(2827,plain,
! [SV177: b,SV10: b > $o] :
( ( ( ~ ( ~ ( SV10 @ SV177 )
| ~ ~ ( SV10 @ ( sK6_SY207 @ SV10 ) ) ) )
= $false )
| ( ( SV10 @ SV177 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2655]) ).
thf(2829,plain,
! [SV170: b,SV65: set_b] :
( ( ( ~ ( ( SV65 != bot_bot_set_b )
| ~ ( member_b @ SV170 @ SV65 ) ) )
= $false )
| ( ( member_b @ SV170 @ SV65 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2657]) ).
thf(2830,plain,
! [SV65: set_b] :
( ( ( ~ ( ( member_b @ ( sK19_SY274 @ SV65 ) @ SV65 )
| ( SV65 = bot_bot_set_b ) ) )
= $false )
| ( ( SV65 = bot_bot_set_b )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2659]) ).
thf(2833,plain,
! [SV284: b,SV242: b > $o] :
( ( ( ~ ( ~ ( SV242 @ SV284 )
| ~ ~ ( SV242 @ ( hilbert_Eps_b @ SV242 ) ) ) )
= $false )
| ( ( SV242 @ SV284 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2661]) ).
thf(2834,plain,
! [SV162: set_b,SV101: set_b] :
( ( ( ~ ( ( ord_less_eq_set_b @ SV101 @ SV162 )
| ( member_b @ ( sK14_SY373 @ SV162 @ SV101 ) @ SV101 ) ) )
= $false )
| ( ( member_b @ ( sK14_SY373 @ SV162 @ SV101 ) @ SV101 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2663]) ).
thf(2836,plain,
! [SV165: set_b,SV132: set_b] :
( ( ( ~ ( ( ord_less_eq_set_b @ SV132 @ SV165 )
| ( member_b @ ( sK15_SY375 @ SV165 @ SV132 ) @ SV132 ) ) )
= $false )
| ( ( member_b @ ( sK15_SY375 @ SV165 @ SV132 ) @ SV132 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2665]) ).
thf(2839,plain,
! [SV285: b,SV244: b > $o] :
( ( ( ~ ( ~ ( SV244 @ SV285 )
| ~ ~ ( SV244 @ ( hilbert_Eps_b @ SV244 ) ) ) )
= $false )
| ( ( SV244 @ SV285 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2667]) ).
thf(2841,plain,
! [SV286: b,SV246: b > $o] :
( ( ( ~ ( ~ ( SV246 @ SV286 )
| ~ ~ ( SV246 @ ( hilbert_Eps_b @ SV246 ) ) ) )
= $false )
| ( ( SV246 @ SV286 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2669]) ).
thf(2842,plain,
! [SV316: b,SV292: b] :
( ( ( p @ SV292 @ SV316 )
= ( member_b @ SV316 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV292 @ bot_bot_set_b ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2671]) ).
thf(2843,plain,
! [SV317: set_b,SV293: b] :
( ( ( insert_b @ SV293 @ SV317 )
= ( collect_b
@ ^ [SY439: b] :
( ( SY439 = SV293 )
| ( member_b @ SY439 @ SV317 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2673]) ).
thf(2844,plain,
! [SV318: b,SV295: set_Product_prod_b_b] :
( ( ( equiv_proj_b_b @ SV295 @ SV318 )
= ( image_b_b @ SV295 @ ( insert_b @ SV318 @ bot_bot_set_b ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2675]) ).
thf(2845,plain,
! [SV319: set_b,SV296: set_b] :
( ( ( ord_less_eq_set_b @ SV296 @ SV319 )
= ( ! [SY440: b] :
( ~ ( member_b @ SY440 @ SV296 )
| ( member_b @ SY440 @ SV319 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2677]) ).
thf(2846,plain,
! [SV297: set_b] :
( ( ( SV297
!= ( insert_b @ ( sK37_SY430 @ SV297 ) @ bot_bot_set_b ) )
= $false )
| ( ( is_singleton_b @ SV297 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2679]) ).
thf(2847,plain,
! [SV320: b,SV297: set_b] :
( ( ( SV297
!= ( insert_b @ SV320 @ bot_bot_set_b ) )
= $true )
| ( ( is_singleton_b @ SV297 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2680]) ).
thf(2848,plain,
! [SV321: set_b,SV298: set_b] :
( ( ( ord_less_eq_set_b @ SV298 @ SV321 )
= ( ! [SY441: b] :
( ~ ( member_b @ SY441 @ SV298 )
| ( member_b @ SY441 @ SV321 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2681]) ).
thf(2850,plain,
! [SV9: b > $o] :
( ( ( SV9 @ ( sK30_SY206 @ SV9 ) )
= $true )
| ( ( bot_bot_set_b
= ( collect_b @ SV9 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2684]) ).
thf(2852,plain,
! [SV10: b > $o] :
( ( ( SV10 @ ( sK31_SY207 @ SV10 ) )
= $true )
| ( ( ( collect_b @ SV10 )
= bot_bot_set_b )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2686]) ).
thf(2853,plain,
! [SV11: set_b] :
( ( ( member_b @ ( sK32_SY208 @ SV11 ) @ SV11 )
= $true )
| ( ( SV11 = bot_bot_set_b )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2687]) ).
thf(2854,plain,
! [SV11: set_b,SV311: b] :
( ( ( member_b @ SV311 @ SV11 )
= $false )
| ( ( SV11 = bot_bot_set_b )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2688]) ).
thf(2855,plain,
! [SV58: b > $o] :
( ( ( ~ ( SV58 @ ( sK38_SY259 @ SV58 ) ) )
= $false )
| ( ( SV58 @ ( hilbert_Eps_b @ SV58 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2691]) ).
thf(2856,plain,
! [SV322: b,SV58: b > $o] :
( ( ( ~ ( SV58 @ SV322 ) )
= $true )
| ( ( SV58 @ ( hilbert_Eps_b @ SV58 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2692]) ).
thf(2857,plain,
! [SV65: set_b,SV323: b] :
( ( ( ~ ( member_b @ SV323 @ SV65 ) )
= $true )
| ( ( SV65 != bot_bot_set_b )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2693]) ).
thf(2858,plain,
! [SV65: set_b] :
( ( ( ~ ( member_b @ ( sK39_SY274 @ SV65 ) @ SV65 ) )
= $false )
| ( ( SV65 != bot_bot_set_b )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2694]) ).
thf(2859,plain,
! [SV302: set_b,SV101: set_b,SV312: b] :
( ( ( ~ ( member_b @ SV312 @ SV101 ) )
= $true )
| ( ( member_b @ SV312 @ SV302 )
= $true )
| ( ( ord_less_eq_set_b @ SV101 @ SV302 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2700]) ).
thf(2860,plain,
! [SV302: set_b,SV101: set_b] :
( ( ( ~ ( member_b @ ( sK33_SY434 @ SV101 @ SV302 ) @ SV101 ) )
= $false )
| ( ( ord_less_eq_set_b @ SV101 @ SV302 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2701]) ).
thf(2861,plain,
! [SV302: set_b,SV101: set_b] :
( ( ( member_b @ ( sK33_SY434 @ SV101 @ SV302 ) @ SV302 )
= $false )
| ( ( ord_less_eq_set_b @ SV101 @ SV302 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2701]) ).
thf(2862,plain,
! [SV109: set_b] :
( ( ( SV109
!= ( insert_b @ ( sK40_SY332 @ SV109 ) @ bot_bot_set_b ) )
= $false )
| ( ( is_singleton_b @ SV109 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2702]) ).
thf(2863,plain,
! [SV324: b,SV109: set_b] :
( ( ( SV109
!= ( insert_b @ SV324 @ bot_bot_set_b ) )
= $true )
| ( ( is_singleton_b @ SV109 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2703]) ).
thf(2864,plain,
! [SV303: set_b,SV132: set_b,SV313: b] :
( ( ( ~ ( member_b @ SV313 @ SV132 ) )
= $true )
| ( ( member_b @ SV313 @ SV303 )
= $true )
| ( ( ord_less_eq_set_b @ SV132 @ SV303 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2704]) ).
thf(2865,plain,
! [SV303: set_b,SV132: set_b] :
( ( ( ~ ( member_b @ ( sK34_SY435 @ SV132 @ SV303 ) @ SV132 ) )
= $false )
| ( ( ord_less_eq_set_b @ SV132 @ SV303 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2705]) ).
thf(2866,plain,
! [SV303: set_b,SV132: set_b] :
( ( ( member_b @ ( sK34_SY435 @ SV132 @ SV303 ) @ SV303 )
= $false )
| ( ( ord_less_eq_set_b @ SV132 @ SV303 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2705]) ).
thf(2867,plain,
! [SV107: set_b,SV145: set_b,SV53: b] :
( ( ( ~ ( member_b @ SV53 @ SV145 ) )
= $false )
| ( ( ord_less_eq_set_b @ ( insert_b @ SV53 @ SV107 ) @ SV145 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2709]) ).
thf(2868,plain,
! [SV53: b,SV145: set_b,SV107: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV107 @ SV145 ) )
= $false )
| ( ( ord_less_eq_set_b @ ( insert_b @ SV53 @ SV107 ) @ SV145 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2709]) ).
thf(2869,plain,
! [SV107: set_b,SV145: set_b,SV53: b] :
( ( ( ~ ( member_b @ SV53 @ SV145 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_b @ SV107 @ SV145 ) )
= $true )
| ( ( ord_less_eq_set_b @ ( insert_b @ SV53 @ SV107 ) @ SV145 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2710]) ).
thf(2871,plain,
! [SV54: b,SV146: b,SV108: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV108 @ ( insert_b @ SV146 @ bot_bot_set_b ) ) )
= $false )
| ( ( ( insert_b @ SV54 @ SV108 )
= ( insert_b @ SV146 @ bot_bot_set_b ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2711]) ).
thf(2872,plain,
! [SV108: set_b,SV146: b,SV54: b] :
( ( ( SV54 != SV146 )
= $true )
| ( ( ~ ( ord_less_eq_set_b @ SV108 @ ( insert_b @ SV146 @ bot_bot_set_b ) ) )
= $true )
| ( ( ( insert_b @ SV54 @ SV108 )
= ( insert_b @ SV146 @ bot_bot_set_b ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2712]) ).
thf(2874,plain,
! [SV117: b,SV64: b,SV151: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV151 @ ( insert_b @ SV64 @ bot_bot_set_b ) ) )
= $false )
| ( ( ( insert_b @ SV64 @ bot_bot_set_b )
= ( insert_b @ SV117 @ SV151 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2713]) ).
thf(2875,plain,
! [SV151: set_b,SV64: b,SV117: b] :
( ( ( SV117 != SV64 )
= $true )
| ( ( ~ ( ord_less_eq_set_b @ SV151 @ ( insert_b @ SV64 @ bot_bot_set_b ) ) )
= $true )
| ( ( ( insert_b @ SV64 @ bot_bot_set_b )
= ( insert_b @ SV117 @ SV151 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2714]) ).
thf(2876,plain,
! [SV162: set_b,SV101: set_b,SV314: b] :
( ( ( ~ ( member_b @ SV314 @ SV101 ) )
= $true )
| ( ( member_b @ SV314 @ SV162 )
= $true )
| ( ( ord_less_eq_set_b @ SV101 @ SV162 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2715]) ).
thf(2877,plain,
! [SV101: set_b,SV162: set_b] :
( ( ( ~ ( member_b @ ( sK35_SY373 @ SV162 @ SV101 ) @ SV101 ) )
= $false )
| ( ( ord_less_eq_set_b @ SV101 @ SV162 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2716]) ).
thf(2878,plain,
! [SV101: set_b,SV162: set_b] :
( ( ( member_b @ ( sK35_SY373 @ SV162 @ SV101 ) @ SV162 )
= $false )
| ( ( ord_less_eq_set_b @ SV101 @ SV162 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2716]) ).
thf(2879,plain,
! [SV163: b,SV112: b,SV148: b,SV59: b] :
( ( ( ( SV59 != SV148 )
| ( SV112 != SV163 ) )
= $false )
| ( ( ~ ( ( SV59 != SV163 )
| ( SV112 != SV148 ) ) )
= $true )
| ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2717]) ).
thf(2881,plain,
! [SV148: b,SV112: b,SV163: b,SV59: b] :
( ( ( ( SV59 != SV163 )
| ( SV112 != SV148 ) )
= $true )
| ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2719]) ).
thf(2882,plain,
! [SV165: set_b,SV132: set_b,SV315: b] :
( ( ( ~ ( member_b @ SV315 @ SV132 ) )
= $true )
| ( ( member_b @ SV315 @ SV165 )
= $true )
| ( ( ord_less_eq_set_b @ SV132 @ SV165 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2720]) ).
thf(2883,plain,
! [SV132: set_b,SV165: set_b] :
( ( ( ~ ( member_b @ ( sK36_SY375 @ SV165 @ SV132 ) @ SV132 ) )
= $false )
| ( ( ord_less_eq_set_b @ SV132 @ SV165 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2721]) ).
thf(2884,plain,
! [SV132: set_b,SV165: set_b] :
( ( ( member_b @ ( sK36_SY375 @ SV165 @ SV132 ) @ SV165 )
= $false )
| ( ( ord_less_eq_set_b @ SV132 @ SV165 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2721]) ).
thf(2885,plain,
! [SV164: set_b,SV123: set_b,SV153: b,SV72: b] :
( ( ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) ) )
= $false )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $false )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2722]) ).
thf(2887,plain,
! [SV164: set_b,SV123: set_b,SV153: b,SV72: b] :
( ( ( ~ ( ( SV72 != SV153 )
| ( SV123 = SV164 ) ) )
= $true )
| ( ( ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) )
= $true )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2723]) ).
thf(2889,plain,
! [SV260: b,SV194: b > $o] :
( ( ( ~ ( SV194 @ SV260 )
| ~ ~ ( SV194 @ ( hilbert_Eps_b @ SV194 ) ) )
= $true )
| ( ( SV194 @ SV260 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2725]) ).
thf(2902,plain,
! [SV43: b] :
( ( ( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV43 @ bot_bot_set_b ) )
= bot_bot_set_b )
| ( ( hilbert_Eps_b @ ( p @ ( hilbert_Eps_b @ ( p @ SV43 ) ) ) )
= ( hilbert_Eps_b @ ( p @ SV43 ) ) ) )
= $true )
| ( ( ( hilbert_Eps_b @ ( p @ ( hilbert_Eps_b @ ( p @ SV43 ) ) ) )
= ( hilbert_Eps_b @ ( p @ SV43 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2738]) ).
thf(2904,plain,
! [SV43: b] :
( ( ( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV43 @ bot_bot_set_b ) )
= bot_bot_set_b )
| ( ( hilbert_Eps_b @ ( p @ ( hilbert_Eps_b @ ( p @ SV43 ) ) ) )
= ( hilbert_Eps_b @ ( p @ SV43 ) ) ) )
= $true )
| ( ( ( hilbert_Eps_b @ ( p @ ( hilbert_Eps_b @ ( p @ SV43 ) ) ) )
= ( hilbert_Eps_b @ ( p @ SV43 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2740]) ).
thf(2906,plain,
! [SV43: b] :
( ( ( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV43 @ bot_bot_set_b ) )
= bot_bot_set_b )
| ( ( hilbert_Eps_b @ ( p @ ( hilbert_Eps_b @ ( p @ SV43 ) ) ) )
= ( hilbert_Eps_b @ ( p @ SV43 ) ) ) )
= $true )
| ( ( ( hilbert_Eps_b @ ( p @ ( hilbert_Eps_b @ ( p @ SV43 ) ) ) )
= ( hilbert_Eps_b @ ( p @ SV43 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2742]) ).
thf(2908,plain,
! [SV36: set_b] :
( ( ( ( member_b @ ( sK1_SY224 @ SV36 ) @ SV36 )
| ( SV36 = bot_bot_set_b ) )
= $true )
| ( ( SV36 = bot_bot_set_b )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2744]) ).
thf(2911,plain,
! [SV57: set_b,SV111: b] :
( ( ( ~ ( member_b @ SV111 @ SV57 )
| ( SV57 != bot_bot_set_b ) )
= $true )
| ( ( SV57 = bot_bot_set_b )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2747]) ).
thf(2913,plain,
! [SV265: b,SV204: b > $o] :
( ( ( ~ ( SV204 @ SV265 )
| ~ ~ ( SV204 @ ( hilbert_Eps_b @ SV204 ) ) )
= $true )
| ( ( SV204 @ SV265 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2749]) ).
thf(2915,plain,
! [SV266: b,SV206: b > $o] :
( ( ( ~ ( SV206 @ SV266 )
| ~ ~ ( SV206 @ ( hilbert_Eps_b @ SV206 ) ) )
= $true )
| ( ( SV206 @ SV266 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2751]) ).
thf(2917,plain,
! [SV99: b,SV44: b > $o] :
( ( ( ~ ( SV44 @ SV99 )
| ~ ( ( ( collect_b
@ ^ [SY320: b] :
~ ( ( SV99 != SY320 )
| ~ ( SV44 @ SY320 ) ) )
!= ( insert_b @ SV99 @ bot_bot_set_b ) ) ) )
= $true )
| ( ( SV44 @ SV99 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2753]) ).
thf(2918,plain,
! [SV141: set_b,SV47: b,SV102: set_b] :
( ( ( ( ( ord_less_eq_set_b @ SV102 @ ( insert_b @ SV47 @ SV141 ) )
= ( ord_less_eq_set_b @ SV102 @ SV141 ) )
| ( member_b @ SV47 @ SV102 ) )
= $true )
| ( ( member_b @ SV47 @ SV102 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2754]) ).
thf(2921,plain,
! [SV104: set_b,SV49: b] :
( ( ( ~ ( member_b @ SV49 @ ( sK9_SY326 @ SV49 @ SV104 ) )
| ~ ( member_b @ SV49 @ SV104 ) )
= $true )
| ( ( member_b @ SV49 @ SV104 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2757]) ).
thf(2922,plain,
! [SV69: set_b,SV121: set_b] :
( ( ( ( member_b @ ( sK3_SY345 @ SV121 @ SV69 ) @ SV69 )
| ( ord_less_eq_set_b @ SV69 @ SV121 ) )
= $true )
| ( ( ord_less_eq_set_b @ SV69 @ SV121 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2758]) ).
thf(2925,plain,
! [SV124: b,SV73: b > $o] :
( ( ( ~ ( SV73 @ SV124 )
| ~ ( ( ( collect_b
@ ^ [SY349: b] :
~ ( ( SY349 != SV124 )
| ~ ( SV73 @ SY349 ) ) )
!= ( insert_b @ SV124 @ bot_bot_set_b ) ) ) )
= $true )
| ( ( SV73 @ SV124 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2761]) ).
thf(2927,plain,
! [SV267: b,SV208: b > $o] :
( ( ( ~ ( SV208 @ SV267 )
| ~ ~ ( SV208 @ ( hilbert_Eps_b @ SV208 ) ) )
= $true )
| ( ( SV208 @ SV267 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2763]) ).
thf(2928,plain,
! [SV99: b,SV44: b > $o] :
( ( ( ( SV44 @ SV99 )
| ( ( collect_b
@ ^ [SY321: b] :
~ ( ( SV99 != SY321 )
| ~ ( SV44 @ SY321 ) ) )
= bot_bot_set_b ) )
= $true )
| ( ( SV44 @ SV99 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2764]) ).
thf(2933,plain,
! [SV268: b,SV210: b > $o] :
( ( ( ~ ( SV210 @ SV268 )
| ~ ~ ( SV210 @ ( hilbert_Eps_b @ SV210 ) ) )
= $true )
| ( ( SV210 @ SV268 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2769]) ).
thf(2937,plain,
! [SV269: b,SV212: b > $o] :
( ( ( ~ ( SV212 @ SV269 )
| ~ ~ ( SV212 @ ( hilbert_Eps_b @ SV212 ) ) )
= $true )
| ( ( SV212 @ SV269 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2773]) ).
thf(2939,plain,
! [SV270: b,SV214: b > $o] :
( ( ( ~ ( SV214 @ SV270 )
| ~ ~ ( SV214 @ ( hilbert_Eps_b @ SV214 ) ) )
= $true )
| ( ( SV214 @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2775]) ).
thf(2940,plain,
! [SV124: b,SV73: b > $o] :
( ( ( ( SV73 @ SV124 )
| ( ( collect_b
@ ^ [SY350: b] :
~ ( ( SY350 != SV124 )
| ~ ( SV73 @ SY350 ) ) )
= bot_bot_set_b ) )
= $true )
| ( ( SV73 @ SV124 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2776]) ).
thf(2942,plain,
! [SV19: b,SV89: b > $o] :
( ( ( ( SV89 @ SV19 )
| ~ ( member_b @ SV19 @ ( collect_b @ SV89 ) ) )
= $true )
| ( ( SV89 @ SV19 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2778]) ).
thf(2945,plain,
! [SV19: b,SV89: b > $o] :
( ( ( ~ ( SV89 @ SV19 )
| ~ ~ ( member_b @ SV19 @ ( collect_b @ SV89 ) ) )
= $true )
| ( ( SV89 @ SV19 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2781]) ).
thf(2948,plain,
! [SV23: b] :
( ( ( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV23 @ bot_bot_set_b ) )
= bot_bot_set_b )
| ( member_b @ SV23 @ ( labele1424214014nt_a_b @ g ) ) )
= $true )
| ( ( member_b @ SV23 @ ( labele1424214014nt_a_b @ g ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2784]) ).
thf(2951,plain,
! [SV273: b,SV220: b > $o] :
( ( ( ~ ( SV220 @ SV273 )
| ~ ~ ( SV220 @ ( hilbert_Eps_b @ SV220 ) ) )
= $true )
| ( ( SV220 @ SV273 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2787]) ).
thf(2953,plain,
! [SV274: b,SV222: b > $o] :
( ( ( ~ ( SV222 @ SV274 )
| ~ ~ ( SV222 @ ( hilbert_Eps_b @ SV222 ) ) )
= $true )
| ( ( SV222 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2789]) ).
thf(2955,plain,
! [SV70: set_b] :
( ( ( ( SV70 != bot_bot_set_b )
| ~ ( member_b
@ ( hilbert_Eps_b
@ ^ [SY283: b] : ( member_b @ SY283 @ SV70 ) )
@ SV70 ) )
= $true )
| ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SY283: b] : ( member_b @ SY283 @ SV70 ) )
@ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2791]) ).
thf(2956,plain,
! [SV70: set_b] :
( ( ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SY283: b] : ( member_b @ SY283 @ SV70 ) )
@ SV70 )
| ( SV70 = bot_bot_set_b ) )
= $true )
| ( ( SV70 = bot_bot_set_b )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2792]) ).
thf(2959,plain,
! [SV277: b,SV228: b > $o] :
( ( ( ~ ( SV228 @ SV277 )
| ~ ~ ( SV228 @ ( hilbert_Eps_b @ SV228 ) ) )
= $true )
| ( ( SV228 @ SV277 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2795]) ).
thf(2961,plain,
! [SV278: b,SV230: b > $o] :
( ( ( ~ ( SV230 @ SV278 )
| ~ ~ ( SV230 @ ( hilbert_Eps_b @ SV230 ) ) )
= $true )
| ( ( SV230 @ SV278 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2797]) ).
thf(2964,plain,
! [SV9: b > $o] :
( ( ( ( bot_bot_set_b
= ( collect_b @ SV9 ) )
| ( SV9 @ ( sK5_SY206 @ SV9 ) ) )
= $true )
| ( ( SV9 @ ( sK5_SY206 @ SV9 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2800]) ).
thf(2968,plain,
! [SV10: b > $o] :
( ( ( ( ( collect_b @ SV10 )
= bot_bot_set_b )
| ( SV10 @ ( sK6_SY207 @ SV10 ) ) )
= $true )
| ( ( SV10 @ ( sK6_SY207 @ SV10 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2804]) ).
thf(2970,plain,
! [SV11: set_b] :
( ( ( ( SV11 = bot_bot_set_b )
| ( member_b @ ( sK7_SY208 @ SV11 ) @ SV11 ) )
= $true )
| ( ( member_b @ ( sK7_SY208 @ SV11 ) @ SV11 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2806]) ).
thf(2973,plain,
! [SV11: set_b,SV175: b] :
( ( ( ~ ( member_b @ SV175 @ SV11 )
| ( SV11 != bot_bot_set_b ) )
= $true )
| ( ( SV11 = bot_bot_set_b )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2809]) ).
thf(2975,plain,
! [SV279: b,SV232: b > $o] :
( ( ( ~ ( SV232 @ SV279 )
| ~ ~ ( SV232 @ ( hilbert_Eps_b @ SV232 ) ) )
= $true )
| ( ( SV232 @ SV279 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2811]) ).
thf(2977,plain,
! [SV97: set_b,SV41: b] :
( ( ( ~ ( member_b @ SV41 @ ( sK8_SY318 @ SV41 @ SV97 ) )
| ~ ( member_b @ SV41 @ SV97 ) )
= $true )
| ( ( member_b @ SV41 @ SV97 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2813]) ).
thf(2978,plain,
! [SV58: b > $o] :
( ( ( ( SV58 @ ( sK16_SY259 @ SV58 ) )
| ~ ( SV58 @ ( hilbert_Eps_b @ SV58 ) ) )
= $true )
| ( ( SV58 @ ( sK16_SY259 @ SV58 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2814]) ).
thf(2981,plain,
! [SV280: b,SV234: b > $o] :
( ( ( ~ ( SV234 @ SV280 )
| ~ ~ ( SV234 @ ( hilbert_Eps_b @ SV234 ) ) )
= $true )
| ( ( SV234 @ SV280 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2817]) ).
thf(2983,plain,
! [SV281: b,SV236: b > $o] :
( ( ( ~ ( SV236 @ SV281 )
| ~ ~ ( SV236 @ ( hilbert_Eps_b @ SV236 ) ) )
= $true )
| ( ( SV236 @ SV281 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2819]) ).
thf(2985,plain,
! [SV282: b,SV238: b > $o] :
( ( ( ~ ( SV238 @ SV282 )
| ~ ~ ( SV238 @ ( hilbert_Eps_b @ SV238 ) ) )
= $true )
| ( ( SV238 @ SV282 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2821]) ).
thf(2987,plain,
! [SV283: b,SV240: b > $o] :
( ( ( ~ ( SV240 @ SV283 )
| ~ ~ ( SV240 @ ( hilbert_Eps_b @ SV240 ) ) )
= $true )
| ( ( SV240 @ SV283 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2823]) ).
thf(2989,plain,
! [SV176: b,SV9: b > $o] :
( ( ( ~ ( SV9 @ SV176 )
| ~ ~ ( SV9 @ ( sK5_SY206 @ SV9 ) ) )
= $true )
| ( ( SV9 @ SV176 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2825]) ).
thf(2991,plain,
! [SV177: b,SV10: b > $o] :
( ( ( ~ ( SV10 @ SV177 )
| ~ ~ ( SV10 @ ( sK6_SY207 @ SV10 ) ) )
= $true )
| ( ( SV10 @ SV177 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2827]) ).
thf(2993,plain,
! [SV170: b,SV65: set_b] :
( ( ( ( SV65 != bot_bot_set_b )
| ~ ( member_b @ SV170 @ SV65 ) )
= $true )
| ( ( member_b @ SV170 @ SV65 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2829]) ).
thf(2994,plain,
! [SV65: set_b] :
( ( ( ( member_b @ ( sK19_SY274 @ SV65 ) @ SV65 )
| ( SV65 = bot_bot_set_b ) )
= $true )
| ( ( SV65 = bot_bot_set_b )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2830]) ).
thf(2997,plain,
! [SV284: b,SV242: b > $o] :
( ( ( ~ ( SV242 @ SV284 )
| ~ ~ ( SV242 @ ( hilbert_Eps_b @ SV242 ) ) )
= $true )
| ( ( SV242 @ SV284 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2833]) ).
thf(2998,plain,
! [SV162: set_b,SV101: set_b] :
( ( ( ( ord_less_eq_set_b @ SV101 @ SV162 )
| ( member_b @ ( sK14_SY373 @ SV162 @ SV101 ) @ SV101 ) )
= $true )
| ( ( member_b @ ( sK14_SY373 @ SV162 @ SV101 ) @ SV101 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2834]) ).
thf(3000,plain,
! [SV165: set_b,SV132: set_b] :
( ( ( ( ord_less_eq_set_b @ SV132 @ SV165 )
| ( member_b @ ( sK15_SY375 @ SV165 @ SV132 ) @ SV132 ) )
= $true )
| ( ( member_b @ ( sK15_SY375 @ SV165 @ SV132 ) @ SV132 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2836]) ).
thf(3003,plain,
! [SV285: b,SV244: b > $o] :
( ( ( ~ ( SV244 @ SV285 )
| ~ ~ ( SV244 @ ( hilbert_Eps_b @ SV244 ) ) )
= $true )
| ( ( SV244 @ SV285 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2839]) ).
thf(3005,plain,
! [SV286: b,SV246: b > $o] :
( ( ( ~ ( SV246 @ SV286 )
| ~ ~ ( SV246 @ ( hilbert_Eps_b @ SV246 ) ) )
= $true )
| ( ( SV246 @ SV286 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2841]) ).
thf(3006,plain,
! [SV316: b,SV292: b] :
( ( ~ ( ( p @ SV292 @ SV316 )
| ( member_b @ SV316 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV292 @ bot_bot_set_b ) ) ) )
| ~ ( ~ ( p @ SV292 @ SV316 )
| ~ ( member_b @ SV316 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV292 @ bot_bot_set_b ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2842]) ).
thf(3007,plain,
! [SV316: b,SV292: b] :
( ( ( p @ SV292 @ SV316 )
= ( member_b @ SV316 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV292 @ bot_bot_set_b ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2842]) ).
thf(3008,plain,
! [SV319: set_b,SV296: set_b] :
( ( ~ ( ( ord_less_eq_set_b @ SV296 @ SV319 )
| ! [SY440: b] :
( ~ ( member_b @ SY440 @ SV296 )
| ( member_b @ SY440 @ SV319 ) ) )
| ~ ( ~ ( ord_less_eq_set_b @ SV296 @ SV319 )
| ~ ! [SY440: b] :
( ~ ( member_b @ SY440 @ SV296 )
| ( member_b @ SY440 @ SV319 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2845]) ).
thf(3009,plain,
! [SV319: set_b,SV296: set_b] :
( ( ( ord_less_eq_set_b @ SV296 @ SV319 )
= ( ! [SY440: b] :
( ~ ( member_b @ SY440 @ SV296 )
| ( member_b @ SY440 @ SV319 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2845]) ).
thf(3010,plain,
! [SV297: set_b] :
( ( ( SV297
= ( insert_b @ ( sK37_SY430 @ SV297 ) @ bot_bot_set_b ) )
= $true )
| ( ( is_singleton_b @ SV297 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2846]) ).
thf(3011,plain,
! [SV320: b,SV297: set_b] :
( ( ( SV297
= ( insert_b @ SV320 @ bot_bot_set_b ) )
= $false )
| ( ( is_singleton_b @ SV297 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2847]) ).
thf(3012,plain,
! [SV321: set_b,SV298: set_b] :
( ( ~ ( ( ord_less_eq_set_b @ SV298 @ SV321 )
| ! [SY441: b] :
( ~ ( member_b @ SY441 @ SV298 )
| ( member_b @ SY441 @ SV321 ) ) )
| ~ ( ~ ( ord_less_eq_set_b @ SV298 @ SV321 )
| ~ ! [SY441: b] :
( ~ ( member_b @ SY441 @ SV298 )
| ( member_b @ SY441 @ SV321 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2848]) ).
thf(3013,plain,
! [SV321: set_b,SV298: set_b] :
( ( ( ord_less_eq_set_b @ SV298 @ SV321 )
= ( ! [SY441: b] :
( ~ ( member_b @ SY441 @ SV298 )
| ( member_b @ SY441 @ SV321 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2848]) ).
thf(3014,plain,
! [SV58: b > $o] :
( ( ( SV58 @ ( sK38_SY259 @ SV58 ) )
= $true )
| ( ( SV58 @ ( hilbert_Eps_b @ SV58 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2855]) ).
thf(3015,plain,
! [SV322: b,SV58: b > $o] :
( ( ( SV58 @ SV322 )
= $false )
| ( ( SV58 @ ( hilbert_Eps_b @ SV58 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2856]) ).
thf(3016,plain,
! [SV65: set_b,SV323: b] :
( ( ( member_b @ SV323 @ SV65 )
= $false )
| ( ( SV65 != bot_bot_set_b )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2857]) ).
thf(3017,plain,
! [SV65: set_b] :
( ( ( member_b @ ( sK39_SY274 @ SV65 ) @ SV65 )
= $true )
| ( ( SV65 != bot_bot_set_b )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2858]) ).
thf(3018,plain,
! [SV302: set_b,SV101: set_b,SV312: b] :
( ( ( member_b @ SV312 @ SV101 )
= $false )
| ( ( member_b @ SV312 @ SV302 )
= $true )
| ( ( ord_less_eq_set_b @ SV101 @ SV302 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2859]) ).
thf(3019,plain,
! [SV302: set_b,SV101: set_b] :
( ( ( member_b @ ( sK33_SY434 @ SV101 @ SV302 ) @ SV101 )
= $true )
| ( ( ord_less_eq_set_b @ SV101 @ SV302 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2860]) ).
thf(3020,plain,
! [SV109: set_b] :
( ( ( SV109
= ( insert_b @ ( sK40_SY332 @ SV109 ) @ bot_bot_set_b ) )
= $true )
| ( ( is_singleton_b @ SV109 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2862]) ).
thf(3021,plain,
! [SV324: b,SV109: set_b] :
( ( ( SV109
= ( insert_b @ SV324 @ bot_bot_set_b ) )
= $false )
| ( ( is_singleton_b @ SV109 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2863]) ).
thf(3022,plain,
! [SV303: set_b,SV132: set_b,SV313: b] :
( ( ( member_b @ SV313 @ SV132 )
= $false )
| ( ( member_b @ SV313 @ SV303 )
= $true )
| ( ( ord_less_eq_set_b @ SV132 @ SV303 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2864]) ).
thf(3023,plain,
! [SV303: set_b,SV132: set_b] :
( ( ( member_b @ ( sK34_SY435 @ SV132 @ SV303 ) @ SV132 )
= $true )
| ( ( ord_less_eq_set_b @ SV132 @ SV303 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2865]) ).
thf(3024,plain,
! [SV107: set_b,SV145: set_b,SV53: b] :
( ( ( member_b @ SV53 @ SV145 )
= $true )
| ( ( ord_less_eq_set_b @ ( insert_b @ SV53 @ SV107 ) @ SV145 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2867]) ).
thf(3025,plain,
! [SV53: b,SV145: set_b,SV107: set_b] :
( ( ( ord_less_eq_set_b @ SV107 @ SV145 )
= $true )
| ( ( ord_less_eq_set_b @ ( insert_b @ SV53 @ SV107 ) @ SV145 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2868]) ).
thf(3026,plain,
! [SV107: set_b,SV145: set_b,SV53: b] :
( ( ( member_b @ SV53 @ SV145 )
= $false )
| ( ( ~ ( ord_less_eq_set_b @ SV107 @ SV145 ) )
= $true )
| ( ( ord_less_eq_set_b @ ( insert_b @ SV53 @ SV107 ) @ SV145 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2869]) ).
thf(3028,plain,
! [SV54: b,SV146: b,SV108: set_b] :
( ( ( ord_less_eq_set_b @ SV108 @ ( insert_b @ SV146 @ bot_bot_set_b ) )
= $true )
| ( ( ( insert_b @ SV54 @ SV108 )
= ( insert_b @ SV146 @ bot_bot_set_b ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2871]) ).
thf(3029,plain,
! [SV108: set_b,SV146: b,SV54: b] :
( ( ( SV54 = SV146 )
= $false )
| ( ( ~ ( ord_less_eq_set_b @ SV108 @ ( insert_b @ SV146 @ bot_bot_set_b ) ) )
= $true )
| ( ( ( insert_b @ SV54 @ SV108 )
= ( insert_b @ SV146 @ bot_bot_set_b ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2872]) ).
thf(3031,plain,
! [SV117: b,SV64: b,SV151: set_b] :
( ( ( ord_less_eq_set_b @ SV151 @ ( insert_b @ SV64 @ bot_bot_set_b ) )
= $true )
| ( ( ( insert_b @ SV64 @ bot_bot_set_b )
= ( insert_b @ SV117 @ SV151 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2874]) ).
thf(3032,plain,
! [SV151: set_b,SV64: b,SV117: b] :
( ( ( SV117 = SV64 )
= $false )
| ( ( ~ ( ord_less_eq_set_b @ SV151 @ ( insert_b @ SV64 @ bot_bot_set_b ) ) )
= $true )
| ( ( ( insert_b @ SV64 @ bot_bot_set_b )
= ( insert_b @ SV117 @ SV151 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2875]) ).
thf(3033,plain,
! [SV162: set_b,SV101: set_b,SV314: b] :
( ( ( member_b @ SV314 @ SV101 )
= $false )
| ( ( member_b @ SV314 @ SV162 )
= $true )
| ( ( ord_less_eq_set_b @ SV101 @ SV162 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2876]) ).
thf(3034,plain,
! [SV101: set_b,SV162: set_b] :
( ( ( member_b @ ( sK35_SY373 @ SV162 @ SV101 ) @ SV101 )
= $true )
| ( ( ord_less_eq_set_b @ SV101 @ SV162 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2877]) ).
thf(3036,plain,
! [SV148: b,SV59: b,SV163: b,SV112: b] :
( ( ( SV112 != SV163 )
= $false )
| ( ( ~ ( ( SV59 != SV163 )
| ( SV112 != SV148 ) ) )
= $true )
| ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2879]) ).
thf(3038,plain,
! [SV148: b,SV112: b,SV163: b,SV59: b] :
( ( ( SV59 != SV163 )
= $true )
| ( ( SV112 != SV148 )
= $true )
| ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2881]) ).
thf(3039,plain,
! [SV165: set_b,SV132: set_b,SV315: b] :
( ( ( member_b @ SV315 @ SV132 )
= $false )
| ( ( member_b @ SV315 @ SV165 )
= $true )
| ( ( ord_less_eq_set_b @ SV132 @ SV165 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2882]) ).
thf(3040,plain,
! [SV132: set_b,SV165: set_b] :
( ( ( member_b @ ( sK36_SY375 @ SV165 @ SV132 ) @ SV132 )
= $true )
| ( ( ord_less_eq_set_b @ SV132 @ SV165 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2883]) ).
thf(3041,plain,
! [SV164: set_b,SV123: set_b,SV153: b,SV72: b] :
( ( ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
= $true )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $false )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2885]) ).
thf(3043,plain,
! [SV164: set_b,SV123: set_b,SV153: b,SV72: b] :
( ( ( ( SV72 != SV153 )
| ( SV123 = SV164 ) )
= $false )
| ( ( ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) )
= $true )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2887]) ).
thf(3045,plain,
! [SV260: b,SV194: b > $o] :
( ( ( ~ ( SV194 @ SV260 ) )
= $true )
| ( ( ~ ~ ( SV194 @ ( hilbert_Eps_b @ SV194 ) ) )
= $true )
| ( ( SV194 @ SV260 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2889]) ).
thf(3058,plain,
! [SV43: b] :
( ( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV43 @ bot_bot_set_b ) )
= bot_bot_set_b )
= $true )
| ( ( ( hilbert_Eps_b @ ( p @ ( hilbert_Eps_b @ ( p @ SV43 ) ) ) )
= ( hilbert_Eps_b @ ( p @ SV43 ) ) )
= $true )
| ( ( ( hilbert_Eps_b @ ( p @ ( hilbert_Eps_b @ ( p @ SV43 ) ) ) )
= ( hilbert_Eps_b @ ( p @ SV43 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2902]) ).
thf(3060,plain,
! [SV43: b] :
( ( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV43 @ bot_bot_set_b ) )
= bot_bot_set_b )
= $true )
| ( ( ( hilbert_Eps_b @ ( p @ ( hilbert_Eps_b @ ( p @ SV43 ) ) ) )
= ( hilbert_Eps_b @ ( p @ SV43 ) ) )
= $true )
| ( ( ( hilbert_Eps_b @ ( p @ ( hilbert_Eps_b @ ( p @ SV43 ) ) ) )
= ( hilbert_Eps_b @ ( p @ SV43 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2904]) ).
thf(3062,plain,
! [SV43: b] :
( ( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV43 @ bot_bot_set_b ) )
= bot_bot_set_b )
= $true )
| ( ( ( hilbert_Eps_b @ ( p @ ( hilbert_Eps_b @ ( p @ SV43 ) ) ) )
= ( hilbert_Eps_b @ ( p @ SV43 ) ) )
= $true )
| ( ( ( hilbert_Eps_b @ ( p @ ( hilbert_Eps_b @ ( p @ SV43 ) ) ) )
= ( hilbert_Eps_b @ ( p @ SV43 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2906]) ).
thf(3064,plain,
! [SV36: set_b] :
( ( ( member_b @ ( sK1_SY224 @ SV36 ) @ SV36 )
= $true )
| ( ( SV36 = bot_bot_set_b )
= $true )
| ( ( SV36 = bot_bot_set_b )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2908]) ).
thf(3067,plain,
! [SV57: set_b,SV111: b] :
( ( ( ~ ( member_b @ SV111 @ SV57 ) )
= $true )
| ( ( SV57 != bot_bot_set_b )
= $true )
| ( ( SV57 = bot_bot_set_b )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2911]) ).
thf(3069,plain,
! [SV265: b,SV204: b > $o] :
( ( ( ~ ( SV204 @ SV265 ) )
= $true )
| ( ( ~ ~ ( SV204 @ ( hilbert_Eps_b @ SV204 ) ) )
= $true )
| ( ( SV204 @ SV265 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2913]) ).
thf(3071,plain,
! [SV266: b,SV206: b > $o] :
( ( ( ~ ( SV206 @ SV266 ) )
= $true )
| ( ( ~ ~ ( SV206 @ ( hilbert_Eps_b @ SV206 ) ) )
= $true )
| ( ( SV206 @ SV266 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2915]) ).
thf(3073,plain,
! [SV99: b,SV44: b > $o] :
( ( ( ~ ( SV44 @ SV99 ) )
= $true )
| ( ( ~ ( ( ( collect_b
@ ^ [SY320: b] :
~ ( ( SV99 != SY320 )
| ~ ( SV44 @ SY320 ) ) )
!= ( insert_b @ SV99 @ bot_bot_set_b ) ) ) )
= $true )
| ( ( SV44 @ SV99 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2917]) ).
thf(3074,plain,
! [SV141: set_b,SV47: b,SV102: set_b] :
( ( ( ( ord_less_eq_set_b @ SV102 @ ( insert_b @ SV47 @ SV141 ) )
= ( ord_less_eq_set_b @ SV102 @ SV141 ) )
= $true )
| ( ( member_b @ SV47 @ SV102 )
= $true )
| ( ( member_b @ SV47 @ SV102 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2918]) ).
thf(3077,plain,
! [SV104: set_b,SV49: b] :
( ( ( ~ ( member_b @ SV49 @ ( sK9_SY326 @ SV49 @ SV104 ) ) )
= $true )
| ( ( ~ ( member_b @ SV49 @ SV104 ) )
= $true )
| ( ( member_b @ SV49 @ SV104 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2921]) ).
thf(3078,plain,
! [SV69: set_b,SV121: set_b] :
( ( ( member_b @ ( sK3_SY345 @ SV121 @ SV69 ) @ SV69 )
= $true )
| ( ( ord_less_eq_set_b @ SV69 @ SV121 )
= $true )
| ( ( ord_less_eq_set_b @ SV69 @ SV121 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2922]) ).
thf(3081,plain,
! [SV124: b,SV73: b > $o] :
( ( ( ~ ( SV73 @ SV124 ) )
= $true )
| ( ( ~ ( ( ( collect_b
@ ^ [SY349: b] :
~ ( ( SY349 != SV124 )
| ~ ( SV73 @ SY349 ) ) )
!= ( insert_b @ SV124 @ bot_bot_set_b ) ) ) )
= $true )
| ( ( SV73 @ SV124 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2925]) ).
thf(3083,plain,
! [SV267: b,SV208: b > $o] :
( ( ( ~ ( SV208 @ SV267 ) )
= $true )
| ( ( ~ ~ ( SV208 @ ( hilbert_Eps_b @ SV208 ) ) )
= $true )
| ( ( SV208 @ SV267 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2927]) ).
thf(3084,plain,
! [SV99: b,SV44: b > $o] :
( ( ( SV44 @ SV99 )
= $true )
| ( ( ( collect_b
@ ^ [SY321: b] :
~ ( ( SV99 != SY321 )
| ~ ( SV44 @ SY321 ) ) )
= bot_bot_set_b )
= $true )
| ( ( SV44 @ SV99 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2928]) ).
thf(3089,plain,
! [SV268: b,SV210: b > $o] :
( ( ( ~ ( SV210 @ SV268 ) )
= $true )
| ( ( ~ ~ ( SV210 @ ( hilbert_Eps_b @ SV210 ) ) )
= $true )
| ( ( SV210 @ SV268 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2933]) ).
thf(3093,plain,
! [SV269: b,SV212: b > $o] :
( ( ( ~ ( SV212 @ SV269 ) )
= $true )
| ( ( ~ ~ ( SV212 @ ( hilbert_Eps_b @ SV212 ) ) )
= $true )
| ( ( SV212 @ SV269 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2937]) ).
thf(3095,plain,
! [SV270: b,SV214: b > $o] :
( ( ( ~ ( SV214 @ SV270 ) )
= $true )
| ( ( ~ ~ ( SV214 @ ( hilbert_Eps_b @ SV214 ) ) )
= $true )
| ( ( SV214 @ SV270 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2939]) ).
thf(3096,plain,
! [SV124: b,SV73: b > $o] :
( ( ( SV73 @ SV124 )
= $true )
| ( ( ( collect_b
@ ^ [SY350: b] :
~ ( ( SY350 != SV124 )
| ~ ( SV73 @ SY350 ) ) )
= bot_bot_set_b )
= $true )
| ( ( SV73 @ SV124 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2940]) ).
thf(3098,plain,
! [SV19: b,SV89: b > $o] :
( ( ( SV89 @ SV19 )
= $true )
| ( ( ~ ( member_b @ SV19 @ ( collect_b @ SV89 ) ) )
= $true )
| ( ( SV89 @ SV19 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2942]) ).
thf(3101,plain,
! [SV19: b,SV89: b > $o] :
( ( ( ~ ( SV89 @ SV19 ) )
= $true )
| ( ( ~ ~ ( member_b @ SV19 @ ( collect_b @ SV89 ) ) )
= $true )
| ( ( SV89 @ SV19 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2945]) ).
thf(3104,plain,
! [SV23: b] :
( ( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV23 @ bot_bot_set_b ) )
= bot_bot_set_b )
= $true )
| ( ( member_b @ SV23 @ ( labele1424214014nt_a_b @ g ) )
= $true )
| ( ( member_b @ SV23 @ ( labele1424214014nt_a_b @ g ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2948]) ).
thf(3107,plain,
! [SV273: b,SV220: b > $o] :
( ( ( ~ ( SV220 @ SV273 ) )
= $true )
| ( ( ~ ~ ( SV220 @ ( hilbert_Eps_b @ SV220 ) ) )
= $true )
| ( ( SV220 @ SV273 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2951]) ).
thf(3109,plain,
! [SV274: b,SV222: b > $o] :
( ( ( ~ ( SV222 @ SV274 ) )
= $true )
| ( ( ~ ~ ( SV222 @ ( hilbert_Eps_b @ SV222 ) ) )
= $true )
| ( ( SV222 @ SV274 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2953]) ).
thf(3111,plain,
! [SV70: set_b] :
( ( ( SV70 != bot_bot_set_b )
= $true )
| ( ( ~ ( member_b
@ ( hilbert_Eps_b
@ ^ [SY283: b] : ( member_b @ SY283 @ SV70 ) )
@ SV70 ) )
= $true )
| ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SY283: b] : ( member_b @ SY283 @ SV70 ) )
@ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2955]) ).
thf(3112,plain,
! [SV70: set_b] :
( ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SY283: b] : ( member_b @ SY283 @ SV70 ) )
@ SV70 )
= $true )
| ( ( SV70 = bot_bot_set_b )
= $true )
| ( ( SV70 = bot_bot_set_b )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2956]) ).
thf(3115,plain,
! [SV277: b,SV228: b > $o] :
( ( ( ~ ( SV228 @ SV277 ) )
= $true )
| ( ( ~ ~ ( SV228 @ ( hilbert_Eps_b @ SV228 ) ) )
= $true )
| ( ( SV228 @ SV277 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2959]) ).
thf(3117,plain,
! [SV278: b,SV230: b > $o] :
( ( ( ~ ( SV230 @ SV278 ) )
= $true )
| ( ( ~ ~ ( SV230 @ ( hilbert_Eps_b @ SV230 ) ) )
= $true )
| ( ( SV230 @ SV278 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2961]) ).
thf(3120,plain,
! [SV9: b > $o] :
( ( ( bot_bot_set_b
= ( collect_b @ SV9 ) )
= $true )
| ( ( SV9 @ ( sK5_SY206 @ SV9 ) )
= $true )
| ( ( SV9 @ ( sK5_SY206 @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2964]) ).
thf(3124,plain,
! [SV10: b > $o] :
( ( ( ( collect_b @ SV10 )
= bot_bot_set_b )
= $true )
| ( ( SV10 @ ( sK6_SY207 @ SV10 ) )
= $true )
| ( ( SV10 @ ( sK6_SY207 @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2968]) ).
thf(3126,plain,
! [SV11: set_b] :
( ( ( SV11 = bot_bot_set_b )
= $true )
| ( ( member_b @ ( sK7_SY208 @ SV11 ) @ SV11 )
= $true )
| ( ( member_b @ ( sK7_SY208 @ SV11 ) @ SV11 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2970]) ).
thf(3129,plain,
! [SV11: set_b,SV175: b] :
( ( ( ~ ( member_b @ SV175 @ SV11 ) )
= $true )
| ( ( SV11 != bot_bot_set_b )
= $true )
| ( ( SV11 = bot_bot_set_b )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2973]) ).
thf(3131,plain,
! [SV279: b,SV232: b > $o] :
( ( ( ~ ( SV232 @ SV279 ) )
= $true )
| ( ( ~ ~ ( SV232 @ ( hilbert_Eps_b @ SV232 ) ) )
= $true )
| ( ( SV232 @ SV279 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2975]) ).
thf(3133,plain,
! [SV97: set_b,SV41: b] :
( ( ( ~ ( member_b @ SV41 @ ( sK8_SY318 @ SV41 @ SV97 ) ) )
= $true )
| ( ( ~ ( member_b @ SV41 @ SV97 ) )
= $true )
| ( ( member_b @ SV41 @ SV97 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2977]) ).
thf(3134,plain,
! [SV58: b > $o] :
( ( ( SV58 @ ( sK16_SY259 @ SV58 ) )
= $true )
| ( ( ~ ( SV58 @ ( hilbert_Eps_b @ SV58 ) ) )
= $true )
| ( ( SV58 @ ( sK16_SY259 @ SV58 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2978]) ).
thf(3137,plain,
! [SV280: b,SV234: b > $o] :
( ( ( ~ ( SV234 @ SV280 ) )
= $true )
| ( ( ~ ~ ( SV234 @ ( hilbert_Eps_b @ SV234 ) ) )
= $true )
| ( ( SV234 @ SV280 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2981]) ).
thf(3139,plain,
! [SV281: b,SV236: b > $o] :
( ( ( ~ ( SV236 @ SV281 ) )
= $true )
| ( ( ~ ~ ( SV236 @ ( hilbert_Eps_b @ SV236 ) ) )
= $true )
| ( ( SV236 @ SV281 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2983]) ).
thf(3141,plain,
! [SV282: b,SV238: b > $o] :
( ( ( ~ ( SV238 @ SV282 ) )
= $true )
| ( ( ~ ~ ( SV238 @ ( hilbert_Eps_b @ SV238 ) ) )
= $true )
| ( ( SV238 @ SV282 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2985]) ).
thf(3143,plain,
! [SV283: b,SV240: b > $o] :
( ( ( ~ ( SV240 @ SV283 ) )
= $true )
| ( ( ~ ~ ( SV240 @ ( hilbert_Eps_b @ SV240 ) ) )
= $true )
| ( ( SV240 @ SV283 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2987]) ).
thf(3145,plain,
! [SV176: b,SV9: b > $o] :
( ( ( ~ ( SV9 @ SV176 ) )
= $true )
| ( ( ~ ~ ( SV9 @ ( sK5_SY206 @ SV9 ) ) )
= $true )
| ( ( SV9 @ SV176 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2989]) ).
thf(3147,plain,
! [SV177: b,SV10: b > $o] :
( ( ( ~ ( SV10 @ SV177 ) )
= $true )
| ( ( ~ ~ ( SV10 @ ( sK6_SY207 @ SV10 ) ) )
= $true )
| ( ( SV10 @ SV177 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2991]) ).
thf(3149,plain,
! [SV170: b,SV65: set_b] :
( ( ( SV65 != bot_bot_set_b )
= $true )
| ( ( ~ ( member_b @ SV170 @ SV65 ) )
= $true )
| ( ( member_b @ SV170 @ SV65 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2993]) ).
thf(3150,plain,
! [SV65: set_b] :
( ( ( member_b @ ( sK19_SY274 @ SV65 ) @ SV65 )
= $true )
| ( ( SV65 = bot_bot_set_b )
= $true )
| ( ( SV65 = bot_bot_set_b )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2994]) ).
thf(3153,plain,
! [SV284: b,SV242: b > $o] :
( ( ( ~ ( SV242 @ SV284 ) )
= $true )
| ( ( ~ ~ ( SV242 @ ( hilbert_Eps_b @ SV242 ) ) )
= $true )
| ( ( SV242 @ SV284 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2997]) ).
thf(3154,plain,
! [SV162: set_b,SV101: set_b] :
( ( ( ord_less_eq_set_b @ SV101 @ SV162 )
= $true )
| ( ( member_b @ ( sK14_SY373 @ SV162 @ SV101 ) @ SV101 )
= $true )
| ( ( member_b @ ( sK14_SY373 @ SV162 @ SV101 ) @ SV101 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2998]) ).
thf(3156,plain,
! [SV165: set_b,SV132: set_b] :
( ( ( ord_less_eq_set_b @ SV132 @ SV165 )
= $true )
| ( ( member_b @ ( sK15_SY375 @ SV165 @ SV132 ) @ SV132 )
= $true )
| ( ( member_b @ ( sK15_SY375 @ SV165 @ SV132 ) @ SV132 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3000]) ).
thf(3159,plain,
! [SV285: b,SV244: b > $o] :
( ( ( ~ ( SV244 @ SV285 ) )
= $true )
| ( ( ~ ~ ( SV244 @ ( hilbert_Eps_b @ SV244 ) ) )
= $true )
| ( ( SV244 @ SV285 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3003]) ).
thf(3161,plain,
! [SV286: b,SV246: b > $o] :
( ( ( ~ ( SV246 @ SV286 ) )
= $true )
| ( ( ~ ~ ( SV246 @ ( hilbert_Eps_b @ SV246 ) ) )
= $true )
| ( ( SV246 @ SV286 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3005]) ).
thf(3162,plain,
! [SV316: b,SV292: b] :
( ( ( ~ ( ( p @ SV292 @ SV316 )
| ( member_b @ SV316 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV292 @ bot_bot_set_b ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( p @ SV292 @ SV316 )
| ~ ( member_b @ SV316 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV292 @ bot_bot_set_b ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3006]) ).
thf(3163,plain,
! [SV319: set_b,SV296: set_b] :
( ( ( ~ ( ( ord_less_eq_set_b @ SV296 @ SV319 )
| ! [SY440: b] :
( ~ ( member_b @ SY440 @ SV296 )
| ( member_b @ SY440 @ SV319 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV296 @ SV319 )
| ~ ! [SY440: b] :
( ~ ( member_b @ SY440 @ SV296 )
| ( member_b @ SY440 @ SV319 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3008]) ).
thf(3164,plain,
! [SV321: set_b,SV298: set_b] :
( ( ( ~ ( ( ord_less_eq_set_b @ SV298 @ SV321 )
| ! [SY441: b] :
( ~ ( member_b @ SY441 @ SV298 )
| ( member_b @ SY441 @ SV321 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV298 @ SV321 )
| ~ ! [SY441: b] :
( ~ ( member_b @ SY441 @ SV298 )
| ( member_b @ SY441 @ SV321 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3012]) ).
thf(3165,plain,
! [SV323: b,SV65: set_b] :
( ( ( SV65 = bot_bot_set_b )
= $false )
| ( ( member_b @ SV323 @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3016]) ).
thf(3166,plain,
! [SV65: set_b] :
( ( ( SV65 = bot_bot_set_b )
= $true )
| ( ( member_b @ ( sK39_SY274 @ SV65 ) @ SV65 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3017]) ).
thf(3167,plain,
! [SV53: b,SV145: set_b,SV107: set_b] :
( ( ( ord_less_eq_set_b @ SV107 @ SV145 )
= $false )
| ( ( member_b @ SV53 @ SV145 )
= $false )
| ( ( ord_less_eq_set_b @ ( insert_b @ SV53 @ SV107 ) @ SV145 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3026]) ).
thf(3168,plain,
! [SV54: b,SV146: b,SV108: set_b] :
( ( ( ord_less_eq_set_b @ SV108 @ ( insert_b @ SV146 @ bot_bot_set_b ) )
= $false )
| ( ( SV54 = SV146 )
= $false )
| ( ( ( insert_b @ SV54 @ SV108 )
= ( insert_b @ SV146 @ bot_bot_set_b ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3029]) ).
thf(3169,plain,
! [SV117: b,SV64: b,SV151: set_b] :
( ( ( ord_less_eq_set_b @ SV151 @ ( insert_b @ SV64 @ bot_bot_set_b ) )
= $false )
| ( ( SV117 = SV64 )
= $false )
| ( ( ( insert_b @ SV64 @ bot_bot_set_b )
= ( insert_b @ SV117 @ SV151 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3032]) ).
thf(3171,plain,
! [SV148: b,SV59: b,SV163: b,SV112: b] :
( ( ( SV112 = SV163 )
= $true )
| ( ( ~ ( ( SV59 != SV163 )
| ( SV112 != SV148 ) ) )
= $true )
| ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3036]) ).
thf(3173,plain,
! [SV148: b,SV112: b,SV163: b,SV59: b] :
( ( ( SV59 = SV163 )
= $false )
| ( ( SV112 != SV148 )
= $true )
| ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3038]) ).
thf(3174,plain,
! [SV164: set_b,SV123: set_b,SV153: b,SV72: b] :
( ( ( SV72 != SV153 )
= $true )
| ( ( SV123 = SV164 )
= $true )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $false )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3041]) ).
thf(3176,plain,
! [SV164: set_b,SV123: set_b,SV153: b,SV72: b] :
( ( ( SV72 != SV153 )
= $false )
| ( ( ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) )
= $true )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3043]) ).
thf(3177,plain,
! [SV153: b,SV72: b,SV164: set_b,SV123: set_b] :
( ( ( SV123 = SV164 )
= $false )
| ( ( ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) )
= $true )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3043]) ).
thf(3179,plain,
! [SV260: b,SV194: b > $o] :
( ( ( SV194 @ SV260 )
= $false )
| ( ( ~ ~ ( SV194 @ ( hilbert_Eps_b @ SV194 ) ) )
= $true )
| ( ( SV194 @ SV260 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3045]) ).
thf(3202,plain,
! [SV57: set_b,SV111: b] :
( ( ( member_b @ SV111 @ SV57 )
= $false )
| ( ( SV57 != bot_bot_set_b )
= $true )
| ( ( SV57 = bot_bot_set_b )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3067]) ).
thf(3204,plain,
! [SV265: b,SV204: b > $o] :
( ( ( SV204 @ SV265 )
= $false )
| ( ( ~ ~ ( SV204 @ ( hilbert_Eps_b @ SV204 ) ) )
= $true )
| ( ( SV204 @ SV265 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3069]) ).
thf(3206,plain,
! [SV266: b,SV206: b > $o] :
( ( ( SV206 @ SV266 )
= $false )
| ( ( ~ ~ ( SV206 @ ( hilbert_Eps_b @ SV206 ) ) )
= $true )
| ( ( SV206 @ SV266 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3071]) ).
thf(3208,plain,
! [SV99: b,SV44: b > $o] :
( ( ( SV44 @ SV99 )
= $false )
| ( ( ~ ( ( ( collect_b
@ ^ [SY320: b] :
~ ( ( SV99 != SY320 )
| ~ ( SV44 @ SY320 ) ) )
!= ( insert_b @ SV99 @ bot_bot_set_b ) ) ) )
= $true )
| ( ( SV44 @ SV99 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3073]) ).
thf(3209,plain,
! [SV141: set_b,SV47: b,SV102: set_b] :
( ( ( ~ ( ( ord_less_eq_set_b @ SV102 @ ( insert_b @ SV47 @ SV141 ) )
| ( ord_less_eq_set_b @ SV102 @ SV141 ) )
| ~ ( ~ ( ord_less_eq_set_b @ SV102 @ ( insert_b @ SV47 @ SV141 ) )
| ~ ( ord_less_eq_set_b @ SV102 @ SV141 ) ) )
= $true )
| ( ( member_b @ SV47 @ SV102 )
= $true )
| ( ( member_b @ SV47 @ SV102 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[3074]) ).
thf(3210,plain,
! [SV141: set_b,SV47: b,SV102: set_b] :
( ( ( ( ord_less_eq_set_b @ SV102 @ ( insert_b @ SV47 @ SV141 ) )
= ( ord_less_eq_set_b @ SV102 @ SV141 ) )
= $true )
| ( ( member_b @ SV47 @ SV102 )
= $true )
| ( ( member_b @ SV47 @ SV102 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[3074]) ).
thf(3212,plain,
! [SV104: set_b,SV49: b] :
( ( ( member_b @ SV49 @ ( sK9_SY326 @ SV49 @ SV104 ) )
= $false )
| ( ( ~ ( member_b @ SV49 @ SV104 ) )
= $true )
| ( ( member_b @ SV49 @ SV104 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3077]) ).
thf(3215,plain,
! [SV124: b,SV73: b > $o] :
( ( ( SV73 @ SV124 )
= $false )
| ( ( ~ ( ( ( collect_b
@ ^ [SY349: b] :
~ ( ( SY349 != SV124 )
| ~ ( SV73 @ SY349 ) ) )
!= ( insert_b @ SV124 @ bot_bot_set_b ) ) ) )
= $true )
| ( ( SV73 @ SV124 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3081]) ).
thf(3217,plain,
! [SV267: b,SV208: b > $o] :
( ( ( SV208 @ SV267 )
= $false )
| ( ( ~ ~ ( SV208 @ ( hilbert_Eps_b @ SV208 ) ) )
= $true )
| ( ( SV208 @ SV267 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3083]) ).
thf(3222,plain,
! [SV268: b,SV210: b > $o] :
( ( ( SV210 @ SV268 )
= $false )
| ( ( ~ ~ ( SV210 @ ( hilbert_Eps_b @ SV210 ) ) )
= $true )
| ( ( SV210 @ SV268 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3089]) ).
thf(3226,plain,
! [SV269: b,SV212: b > $o] :
( ( ( SV212 @ SV269 )
= $false )
| ( ( ~ ~ ( SV212 @ ( hilbert_Eps_b @ SV212 ) ) )
= $true )
| ( ( SV212 @ SV269 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3093]) ).
thf(3228,plain,
! [SV270: b,SV214: b > $o] :
( ( ( SV214 @ SV270 )
= $false )
| ( ( ~ ~ ( SV214 @ ( hilbert_Eps_b @ SV214 ) ) )
= $true )
| ( ( SV214 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3095]) ).
thf(3230,plain,
! [SV89: b > $o,SV19: b] :
( ( ( member_b @ SV19 @ ( collect_b @ SV89 ) )
= $false )
| ( ( SV89 @ SV19 )
= $true )
| ( ( SV89 @ SV19 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3098]) ).
thf(3233,plain,
! [SV19: b,SV89: b > $o] :
( ( ( SV89 @ SV19 )
= $false )
| ( ( ~ ~ ( member_b @ SV19 @ ( collect_b @ SV89 ) ) )
= $true )
| ( ( SV89 @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3101]) ).
thf(3237,plain,
! [SV273: b,SV220: b > $o] :
( ( ( SV220 @ SV273 )
= $false )
| ( ( ~ ~ ( SV220 @ ( hilbert_Eps_b @ SV220 ) ) )
= $true )
| ( ( SV220 @ SV273 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3107]) ).
thf(3239,plain,
! [SV274: b,SV222: b > $o] :
( ( ( SV222 @ SV274 )
= $false )
| ( ( ~ ~ ( SV222 @ ( hilbert_Eps_b @ SV222 ) ) )
= $true )
| ( ( SV222 @ SV274 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3109]) ).
thf(3240,plain,
! [SV70: set_b] :
( ( ( SV70 = bot_bot_set_b )
= $false )
| ( ( ~ ( member_b
@ ( hilbert_Eps_b
@ ^ [SY283: b] : ( member_b @ SY283 @ SV70 ) )
@ SV70 ) )
= $true )
| ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SY283: b] : ( member_b @ SY283 @ SV70 ) )
@ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3111]) ).
thf(3243,plain,
! [SV277: b,SV228: b > $o] :
( ( ( SV228 @ SV277 )
= $false )
| ( ( ~ ~ ( SV228 @ ( hilbert_Eps_b @ SV228 ) ) )
= $true )
| ( ( SV228 @ SV277 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3115]) ).
thf(3245,plain,
! [SV278: b,SV230: b > $o] :
( ( ( SV230 @ SV278 )
= $false )
| ( ( ~ ~ ( SV230 @ ( hilbert_Eps_b @ SV230 ) ) )
= $true )
| ( ( SV230 @ SV278 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3117]) ).
thf(3251,plain,
! [SV11: set_b,SV175: b] :
( ( ( member_b @ SV175 @ SV11 )
= $false )
| ( ( SV11 != bot_bot_set_b )
= $true )
| ( ( SV11 = bot_bot_set_b )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3129]) ).
thf(3253,plain,
! [SV279: b,SV232: b > $o] :
( ( ( SV232 @ SV279 )
= $false )
| ( ( ~ ~ ( SV232 @ ( hilbert_Eps_b @ SV232 ) ) )
= $true )
| ( ( SV232 @ SV279 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3131]) ).
thf(3254,plain,
! [SV97: set_b,SV41: b] :
( ( ( member_b @ SV41 @ ( sK8_SY318 @ SV41 @ SV97 ) )
= $false )
| ( ( ~ ( member_b @ SV41 @ SV97 ) )
= $true )
| ( ( member_b @ SV41 @ SV97 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3133]) ).
thf(3255,plain,
! [SV58: b > $o] :
( ( ( SV58 @ ( hilbert_Eps_b @ SV58 ) )
= $false )
| ( ( SV58 @ ( sK16_SY259 @ SV58 ) )
= $true )
| ( ( SV58 @ ( sK16_SY259 @ SV58 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3134]) ).
thf(3258,plain,
! [SV280: b,SV234: b > $o] :
( ( ( SV234 @ SV280 )
= $false )
| ( ( ~ ~ ( SV234 @ ( hilbert_Eps_b @ SV234 ) ) )
= $true )
| ( ( SV234 @ SV280 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3137]) ).
thf(3260,plain,
! [SV281: b,SV236: b > $o] :
( ( ( SV236 @ SV281 )
= $false )
| ( ( ~ ~ ( SV236 @ ( hilbert_Eps_b @ SV236 ) ) )
= $true )
| ( ( SV236 @ SV281 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3139]) ).
thf(3262,plain,
! [SV282: b,SV238: b > $o] :
( ( ( SV238 @ SV282 )
= $false )
| ( ( ~ ~ ( SV238 @ ( hilbert_Eps_b @ SV238 ) ) )
= $true )
| ( ( SV238 @ SV282 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3141]) ).
thf(3264,plain,
! [SV283: b,SV240: b > $o] :
( ( ( SV240 @ SV283 )
= $false )
| ( ( ~ ~ ( SV240 @ ( hilbert_Eps_b @ SV240 ) ) )
= $true )
| ( ( SV240 @ SV283 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3143]) ).
thf(3266,plain,
! [SV176: b,SV9: b > $o] :
( ( ( SV9 @ SV176 )
= $false )
| ( ( ~ ~ ( SV9 @ ( sK5_SY206 @ SV9 ) ) )
= $true )
| ( ( SV9 @ SV176 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3145]) ).
thf(3268,plain,
! [SV177: b,SV10: b > $o] :
( ( ( SV10 @ SV177 )
= $false )
| ( ( ~ ~ ( SV10 @ ( sK6_SY207 @ SV10 ) ) )
= $true )
| ( ( SV10 @ SV177 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3147]) ).
thf(3269,plain,
! [SV170: b,SV65: set_b] :
( ( ( SV65 = bot_bot_set_b )
= $false )
| ( ( ~ ( member_b @ SV170 @ SV65 ) )
= $true )
| ( ( member_b @ SV170 @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3149]) ).
thf(3272,plain,
! [SV284: b,SV242: b > $o] :
( ( ( SV242 @ SV284 )
= $false )
| ( ( ~ ~ ( SV242 @ ( hilbert_Eps_b @ SV242 ) ) )
= $true )
| ( ( SV242 @ SV284 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3153]) ).
thf(3276,plain,
! [SV285: b,SV244: b > $o] :
( ( ( SV244 @ SV285 )
= $false )
| ( ( ~ ~ ( SV244 @ ( hilbert_Eps_b @ SV244 ) ) )
= $true )
| ( ( SV244 @ SV285 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3159]) ).
thf(3278,plain,
! [SV286: b,SV246: b > $o] :
( ( ( SV246 @ SV286 )
= $false )
| ( ( ~ ~ ( SV246 @ ( hilbert_Eps_b @ SV246 ) ) )
= $true )
| ( ( SV246 @ SV286 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3161]) ).
thf(3279,plain,
! [SV316: b,SV292: b] :
( ( ( ( p @ SV292 @ SV316 )
| ( member_b @ SV316 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV292 @ bot_bot_set_b ) ) ) )
= $false )
| ( ( ~ ( ~ ( p @ SV292 @ SV316 )
| ~ ( member_b @ SV316 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV292 @ bot_bot_set_b ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3162]) ).
thf(3280,plain,
! [SV319: set_b,SV296: set_b] :
( ( ( ( ord_less_eq_set_b @ SV296 @ SV319 )
| ! [SY440: b] :
( ~ ( member_b @ SY440 @ SV296 )
| ( member_b @ SY440 @ SV319 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV296 @ SV319 )
| ~ ! [SY440: b] :
( ~ ( member_b @ SY440 @ SV296 )
| ( member_b @ SY440 @ SV319 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3163]) ).
thf(3281,plain,
! [SV321: set_b,SV298: set_b] :
( ( ( ( ord_less_eq_set_b @ SV298 @ SV321 )
| ! [SY441: b] :
( ~ ( member_b @ SY441 @ SV298 )
| ( member_b @ SY441 @ SV321 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV298 @ SV321 )
| ~ ! [SY441: b] :
( ~ ( member_b @ SY441 @ SV298 )
| ( member_b @ SY441 @ SV321 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3164]) ).
thf(3283,plain,
! [SV148: b,SV112: b,SV163: b,SV59: b] :
( ( ( ( SV59 != SV163 )
| ( SV112 != SV148 ) )
= $false )
| ( ( SV112 = SV163 )
= $true )
| ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3171]) ).
thf(3285,plain,
! [SV163: b,SV59: b,SV148: b,SV112: b] :
( ( ( SV112 = SV148 )
= $false )
| ( ( SV59 = SV163 )
= $false )
| ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3173]) ).
thf(3286,plain,
! [SV164: set_b,SV123: set_b,SV153: b,SV72: b] :
( ( ( SV72 = SV153 )
= $false )
| ( ( SV123 = SV164 )
= $true )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $false )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3174]) ).
thf(3288,plain,
! [SV164: set_b,SV123: set_b,SV153: b,SV72: b] :
( ( ( SV72 = SV153 )
= $true )
| ( ( ~ ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) ) )
= $true )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3176]) ).
thf(3289,plain,
! [SV164: set_b,SV123: set_b,SV153: b,SV72: b] :
( ( ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) )
= $false )
| ( ( SV123 = SV164 )
= $false )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3177]) ).
thf(3290,plain,
! [SV260: b,SV194: b > $o] :
( ( ( ~ ( SV194 @ ( hilbert_Eps_b @ SV194 ) ) )
= $false )
| ( ( SV194 @ SV260 )
= $false )
| ( ( SV194 @ SV260 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3179]) ).
thf(3325,plain,
! [SV111: b,SV57: set_b] :
( ( ( SV57 = bot_bot_set_b )
= $false )
| ( ( member_b @ SV111 @ SV57 )
= $false )
| ( ( SV57 = bot_bot_set_b )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3202]) ).
thf(3326,plain,
! [SV265: b,SV204: b > $o] :
( ( ( ~ ( SV204 @ ( hilbert_Eps_b @ SV204 ) ) )
= $false )
| ( ( SV204 @ SV265 )
= $false )
| ( ( SV204 @ SV265 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3204]) ).
thf(3327,plain,
! [SV266: b,SV206: b > $o] :
( ( ( ~ ( SV206 @ ( hilbert_Eps_b @ SV206 ) ) )
= $false )
| ( ( SV206 @ SV266 )
= $false )
| ( ( SV206 @ SV266 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3206]) ).
thf(3328,plain,
! [SV44: b > $o,SV99: b] :
( ( ( ( collect_b
@ ^ [SY320: b] :
~ ( ( SV99 != SY320 )
| ~ ( SV44 @ SY320 ) ) )
!= ( insert_b @ SV99 @ bot_bot_set_b ) )
= $false )
| ( ( SV44 @ SV99 )
= $false )
| ( ( SV44 @ SV99 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3208]) ).
thf(3329,plain,
! [SV141: set_b,SV47: b,SV102: set_b] :
( ( ( ~ ( ( ord_less_eq_set_b @ SV102 @ ( insert_b @ SV47 @ SV141 ) )
| ( ord_less_eq_set_b @ SV102 @ SV141 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV102 @ ( insert_b @ SV47 @ SV141 ) )
| ~ ( ord_less_eq_set_b @ SV102 @ SV141 ) ) )
= $true )
| ( ( member_b @ SV47 @ SV102 )
= $true )
| ( ( member_b @ SV47 @ SV102 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3209]) ).
thf(3332,plain,
! [SV104: set_b,SV49: b] :
( ( ( member_b @ SV49 @ SV104 )
= $false )
| ( ( member_b @ SV49 @ ( sK9_SY326 @ SV49 @ SV104 ) )
= $false )
| ( ( member_b @ SV49 @ SV104 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3212]) ).
thf(3334,plain,
! [SV73: b > $o,SV124: b] :
( ( ( ( collect_b
@ ^ [SY349: b] :
~ ( ( SY349 != SV124 )
| ~ ( SV73 @ SY349 ) ) )
!= ( insert_b @ SV124 @ bot_bot_set_b ) )
= $false )
| ( ( SV73 @ SV124 )
= $false )
| ( ( SV73 @ SV124 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3215]) ).
thf(3335,plain,
! [SV267: b,SV208: b > $o] :
( ( ( ~ ( SV208 @ ( hilbert_Eps_b @ SV208 ) ) )
= $false )
| ( ( SV208 @ SV267 )
= $false )
| ( ( SV208 @ SV267 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3217]) ).
thf(3338,plain,
! [SV268: b,SV210: b > $o] :
( ( ( ~ ( SV210 @ ( hilbert_Eps_b @ SV210 ) ) )
= $false )
| ( ( SV210 @ SV268 )
= $false )
| ( ( SV210 @ SV268 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3222]) ).
thf(3340,plain,
! [SV269: b,SV212: b > $o] :
( ( ( ~ ( SV212 @ ( hilbert_Eps_b @ SV212 ) ) )
= $false )
| ( ( SV212 @ SV269 )
= $false )
| ( ( SV212 @ SV269 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3226]) ).
thf(3341,plain,
! [SV270: b,SV214: b > $o] :
( ( ( ~ ( SV214 @ ( hilbert_Eps_b @ SV214 ) ) )
= $false )
| ( ( SV214 @ SV270 )
= $false )
| ( ( SV214 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3228]) ).
thf(3344,plain,
! [SV89: b > $o,SV19: b] :
( ( ( ~ ( member_b @ SV19 @ ( collect_b @ SV89 ) ) )
= $false )
| ( ( SV89 @ SV19 )
= $false )
| ( ( SV89 @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3233]) ).
thf(3347,plain,
! [SV273: b,SV220: b > $o] :
( ( ( ~ ( SV220 @ ( hilbert_Eps_b @ SV220 ) ) )
= $false )
| ( ( SV220 @ SV273 )
= $false )
| ( ( SV220 @ SV273 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3237]) ).
thf(3348,plain,
! [SV274: b,SV222: b > $o] :
( ( ( ~ ( SV222 @ ( hilbert_Eps_b @ SV222 ) ) )
= $false )
| ( ( SV222 @ SV274 )
= $false )
| ( ( SV222 @ SV274 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3239]) ).
thf(3349,plain,
! [SV70: set_b] :
( ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SY283: b] : ( member_b @ SY283 @ SV70 ) )
@ SV70 )
= $false )
| ( ( SV70 = bot_bot_set_b )
= $false )
| ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SY283: b] : ( member_b @ SY283 @ SV70 ) )
@ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3240]) ).
thf(3351,plain,
! [SV277: b,SV228: b > $o] :
( ( ( ~ ( SV228 @ ( hilbert_Eps_b @ SV228 ) ) )
= $false )
| ( ( SV228 @ SV277 )
= $false )
| ( ( SV228 @ SV277 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3243]) ).
thf(3352,plain,
! [SV278: b,SV230: b > $o] :
( ( ( ~ ( SV230 @ ( hilbert_Eps_b @ SV230 ) ) )
= $false )
| ( ( SV230 @ SV278 )
= $false )
| ( ( SV230 @ SV278 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3245]) ).
thf(3358,plain,
! [SV175: b,SV11: set_b] :
( ( ( SV11 = bot_bot_set_b )
= $false )
| ( ( member_b @ SV175 @ SV11 )
= $false )
| ( ( SV11 = bot_bot_set_b )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3251]) ).
thf(3359,plain,
! [SV279: b,SV232: b > $o] :
( ( ( ~ ( SV232 @ ( hilbert_Eps_b @ SV232 ) ) )
= $false )
| ( ( SV232 @ SV279 )
= $false )
| ( ( SV232 @ SV279 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3253]) ).
thf(3360,plain,
! [SV97: set_b,SV41: b] :
( ( ( member_b @ SV41 @ SV97 )
= $false )
| ( ( member_b @ SV41 @ ( sK8_SY318 @ SV41 @ SV97 ) )
= $false )
| ( ( member_b @ SV41 @ SV97 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3254]) ).
thf(3362,plain,
! [SV280: b,SV234: b > $o] :
( ( ( ~ ( SV234 @ ( hilbert_Eps_b @ SV234 ) ) )
= $false )
| ( ( SV234 @ SV280 )
= $false )
| ( ( SV234 @ SV280 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3258]) ).
thf(3363,plain,
! [SV281: b,SV236: b > $o] :
( ( ( ~ ( SV236 @ ( hilbert_Eps_b @ SV236 ) ) )
= $false )
| ( ( SV236 @ SV281 )
= $false )
| ( ( SV236 @ SV281 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3260]) ).
thf(3364,plain,
! [SV282: b,SV238: b > $o] :
( ( ( ~ ( SV238 @ ( hilbert_Eps_b @ SV238 ) ) )
= $false )
| ( ( SV238 @ SV282 )
= $false )
| ( ( SV238 @ SV282 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3262]) ).
thf(3365,plain,
! [SV283: b,SV240: b > $o] :
( ( ( ~ ( SV240 @ ( hilbert_Eps_b @ SV240 ) ) )
= $false )
| ( ( SV240 @ SV283 )
= $false )
| ( ( SV240 @ SV283 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3264]) ).
thf(3366,plain,
! [SV176: b,SV9: b > $o] :
( ( ( ~ ( SV9 @ ( sK5_SY206 @ SV9 ) ) )
= $false )
| ( ( SV9 @ SV176 )
= $false )
| ( ( SV9 @ SV176 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3266]) ).
thf(3367,plain,
! [SV177: b,SV10: b > $o] :
( ( ( ~ ( SV10 @ ( sK6_SY207 @ SV10 ) ) )
= $false )
| ( ( SV10 @ SV177 )
= $false )
| ( ( SV10 @ SV177 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3268]) ).
thf(3368,plain,
! [SV65: set_b,SV170: b] :
( ( ( member_b @ SV170 @ SV65 )
= $false )
| ( ( SV65 = bot_bot_set_b )
= $false )
| ( ( member_b @ SV170 @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3269]) ).
thf(3370,plain,
! [SV284: b,SV242: b > $o] :
( ( ( ~ ( SV242 @ ( hilbert_Eps_b @ SV242 ) ) )
= $false )
| ( ( SV242 @ SV284 )
= $false )
| ( ( SV242 @ SV284 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3272]) ).
thf(3373,plain,
! [SV285: b,SV244: b > $o] :
( ( ( ~ ( SV244 @ ( hilbert_Eps_b @ SV244 ) ) )
= $false )
| ( ( SV244 @ SV285 )
= $false )
| ( ( SV244 @ SV285 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3276]) ).
thf(3374,plain,
! [SV286: b,SV246: b > $o] :
( ( ( ~ ( SV246 @ ( hilbert_Eps_b @ SV246 ) ) )
= $false )
| ( ( SV246 @ SV286 )
= $false )
| ( ( SV246 @ SV286 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3278]) ).
thf(3375,plain,
! [SV316: b,SV292: b] :
( ( ( p @ SV292 @ SV316 )
= $false )
| ( ( ~ ( ~ ( p @ SV292 @ SV316 )
| ~ ( member_b @ SV316 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV292 @ bot_bot_set_b ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3279]) ).
thf(3376,plain,
! [SV292: b,SV316: b] :
( ( ( member_b @ SV316 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV292 @ bot_bot_set_b ) ) )
= $false )
| ( ( ~ ( ~ ( p @ SV292 @ SV316 )
| ~ ( member_b @ SV316 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV292 @ bot_bot_set_b ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3279]) ).
thf(3377,plain,
! [SV319: set_b,SV296: set_b] :
( ( ( ord_less_eq_set_b @ SV296 @ SV319 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV296 @ SV319 )
| ~ ! [SY440: b] :
( ~ ( member_b @ SY440 @ SV296 )
| ( member_b @ SY440 @ SV319 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3280]) ).
thf(3378,plain,
! [SV319: set_b,SV296: set_b] :
( ( ( ! [SY440: b] :
( ~ ( member_b @ SY440 @ SV296 )
| ( member_b @ SY440 @ SV319 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV296 @ SV319 )
| ~ ! [SY440: b] :
( ~ ( member_b @ SY440 @ SV296 )
| ( member_b @ SY440 @ SV319 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3280]) ).
thf(3379,plain,
! [SV321: set_b,SV298: set_b] :
( ( ( ord_less_eq_set_b @ SV298 @ SV321 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV298 @ SV321 )
| ~ ! [SY441: b] :
( ~ ( member_b @ SY441 @ SV298 )
| ( member_b @ SY441 @ SV321 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3281]) ).
thf(3380,plain,
! [SV321: set_b,SV298: set_b] :
( ( ( ! [SY441: b] :
( ~ ( member_b @ SY441 @ SV298 )
| ( member_b @ SY441 @ SV321 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV298 @ SV321 )
| ~ ! [SY441: b] :
( ~ ( member_b @ SY441 @ SV298 )
| ( member_b @ SY441 @ SV321 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3281]) ).
thf(3383,plain,
! [SV148: b,SV112: b,SV163: b,SV59: b] :
( ( ( SV59 != SV163 )
= $false )
| ( ( SV112 = SV163 )
= $true )
| ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3283]) ).
thf(3384,plain,
! [SV59: b,SV163: b,SV148: b,SV112: b] :
( ( ( SV112 != SV148 )
= $false )
| ( ( SV112 = SV163 )
= $true )
| ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3283]) ).
thf(3386,plain,
! [SV164: set_b,SV123: set_b,SV153: b,SV72: b] :
( ( ( ~ ( ( SV72 != SV153 ) )
| ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) )
= $false )
| ( ( SV72 = SV153 )
= $true )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3288]) ).
thf(3388,plain,
! [SV72: b,SV164: set_b,SV153: b,SV123: set_b] :
( ( ( ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) )
= $false )
| ( ( SV123 = SV164 )
= $false )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3289]) ).
thf(3389,plain,
! [SV260: b,SV194: b > $o] :
( ( ( SV194 @ ( hilbert_Eps_b @ SV194 ) )
= $true )
| ( ( SV194 @ SV260 )
= $false )
| ( ( SV194 @ SV260 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3290]) ).
thf(3420,plain,
! [SV265: b,SV204: b > $o] :
( ( ( SV204 @ ( hilbert_Eps_b @ SV204 ) )
= $true )
| ( ( SV204 @ SV265 )
= $false )
| ( ( SV204 @ SV265 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3326]) ).
thf(3421,plain,
! [SV266: b,SV206: b > $o] :
( ( ( SV206 @ ( hilbert_Eps_b @ SV206 ) )
= $true )
| ( ( SV206 @ SV266 )
= $false )
| ( ( SV206 @ SV266 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3327]) ).
thf(3422,plain,
! [SV44: b > $o,SV99: b] :
( ( ( ( collect_b
@ ^ [SY320: b] :
~ ( ( SV99 != SY320 )
| ~ ( SV44 @ SY320 ) ) )
= ( insert_b @ SV99 @ bot_bot_set_b ) )
= $true )
| ( ( SV44 @ SV99 )
= $false )
| ( ( SV44 @ SV99 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3328]) ).
thf(3423,plain,
! [SV141: set_b,SV47: b,SV102: set_b] :
( ( ( ( ord_less_eq_set_b @ SV102 @ ( insert_b @ SV47 @ SV141 ) )
| ( ord_less_eq_set_b @ SV102 @ SV141 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV102 @ ( insert_b @ SV47 @ SV141 ) )
| ~ ( ord_less_eq_set_b @ SV102 @ SV141 ) ) )
= $true )
| ( ( member_b @ SV47 @ SV102 )
= $true )
| ( ( member_b @ SV47 @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3329]) ).
thf(3427,plain,
! [SV73: b > $o,SV124: b] :
( ( ( ( collect_b
@ ^ [SY349: b] :
~ ( ( SY349 != SV124 )
| ~ ( SV73 @ SY349 ) ) )
= ( insert_b @ SV124 @ bot_bot_set_b ) )
= $true )
| ( ( SV73 @ SV124 )
= $false )
| ( ( SV73 @ SV124 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3334]) ).
thf(3428,plain,
! [SV267: b,SV208: b > $o] :
( ( ( SV208 @ ( hilbert_Eps_b @ SV208 ) )
= $true )
| ( ( SV208 @ SV267 )
= $false )
| ( ( SV208 @ SV267 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3335]) ).
thf(3430,plain,
! [SV268: b,SV210: b > $o] :
( ( ( SV210 @ ( hilbert_Eps_b @ SV210 ) )
= $true )
| ( ( SV210 @ SV268 )
= $false )
| ( ( SV210 @ SV268 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3338]) ).
thf(3432,plain,
! [SV269: b,SV212: b > $o] :
( ( ( SV212 @ ( hilbert_Eps_b @ SV212 ) )
= $true )
| ( ( SV212 @ SV269 )
= $false )
| ( ( SV212 @ SV269 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3340]) ).
thf(3433,plain,
! [SV270: b,SV214: b > $o] :
( ( ( SV214 @ ( hilbert_Eps_b @ SV214 ) )
= $true )
| ( ( SV214 @ SV270 )
= $false )
| ( ( SV214 @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3341]) ).
thf(3435,plain,
! [SV89: b > $o,SV19: b] :
( ( ( member_b @ SV19 @ ( collect_b @ SV89 ) )
= $true )
| ( ( SV89 @ SV19 )
= $false )
| ( ( SV89 @ SV19 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3344]) ).
thf(3436,plain,
! [SV273: b,SV220: b > $o] :
( ( ( SV220 @ ( hilbert_Eps_b @ SV220 ) )
= $true )
| ( ( SV220 @ SV273 )
= $false )
| ( ( SV220 @ SV273 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3347]) ).
thf(3437,plain,
! [SV274: b,SV222: b > $o] :
( ( ( SV222 @ ( hilbert_Eps_b @ SV222 ) )
= $true )
| ( ( SV222 @ SV274 )
= $false )
| ( ( SV222 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3348]) ).
thf(3438,plain,
! [SV277: b,SV228: b > $o] :
( ( ( SV228 @ ( hilbert_Eps_b @ SV228 ) )
= $true )
| ( ( SV228 @ SV277 )
= $false )
| ( ( SV228 @ SV277 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3351]) ).
thf(3439,plain,
! [SV278: b,SV230: b > $o] :
( ( ( SV230 @ ( hilbert_Eps_b @ SV230 ) )
= $true )
| ( ( SV230 @ SV278 )
= $false )
| ( ( SV230 @ SV278 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3352]) ).
thf(3440,plain,
! [SV279: b,SV232: b > $o] :
( ( ( SV232 @ ( hilbert_Eps_b @ SV232 ) )
= $true )
| ( ( SV232 @ SV279 )
= $false )
| ( ( SV232 @ SV279 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3359]) ).
thf(3442,plain,
! [SV280: b,SV234: b > $o] :
( ( ( SV234 @ ( hilbert_Eps_b @ SV234 ) )
= $true )
| ( ( SV234 @ SV280 )
= $false )
| ( ( SV234 @ SV280 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3362]) ).
thf(3443,plain,
! [SV281: b,SV236: b > $o] :
( ( ( SV236 @ ( hilbert_Eps_b @ SV236 ) )
= $true )
| ( ( SV236 @ SV281 )
= $false )
| ( ( SV236 @ SV281 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3363]) ).
thf(3444,plain,
! [SV282: b,SV238: b > $o] :
( ( ( SV238 @ ( hilbert_Eps_b @ SV238 ) )
= $true )
| ( ( SV238 @ SV282 )
= $false )
| ( ( SV238 @ SV282 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3364]) ).
thf(3445,plain,
! [SV283: b,SV240: b > $o] :
( ( ( SV240 @ ( hilbert_Eps_b @ SV240 ) )
= $true )
| ( ( SV240 @ SV283 )
= $false )
| ( ( SV240 @ SV283 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3365]) ).
thf(3446,plain,
! [SV176: b,SV9: b > $o] :
( ( ( SV9 @ ( sK5_SY206 @ SV9 ) )
= $true )
| ( ( SV9 @ SV176 )
= $false )
| ( ( SV9 @ SV176 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3366]) ).
thf(3447,plain,
! [SV177: b,SV10: b > $o] :
( ( ( SV10 @ ( sK6_SY207 @ SV10 ) )
= $true )
| ( ( SV10 @ SV177 )
= $false )
| ( ( SV10 @ SV177 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3367]) ).
thf(3448,plain,
! [SV284: b,SV242: b > $o] :
( ( ( SV242 @ ( hilbert_Eps_b @ SV242 ) )
= $true )
| ( ( SV242 @ SV284 )
= $false )
| ( ( SV242 @ SV284 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3370]) ).
thf(3449,plain,
! [SV285: b,SV244: b > $o] :
( ( ( SV244 @ ( hilbert_Eps_b @ SV244 ) )
= $true )
| ( ( SV244 @ SV285 )
= $false )
| ( ( SV244 @ SV285 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3373]) ).
thf(3450,plain,
! [SV286: b,SV246: b > $o] :
( ( ( SV246 @ ( hilbert_Eps_b @ SV246 ) )
= $true )
| ( ( SV246 @ SV286 )
= $false )
| ( ( SV246 @ SV286 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3374]) ).
thf(3451,plain,
! [SV316: b,SV292: b] :
( ( ( ~ ( p @ SV292 @ SV316 )
| ~ ( member_b @ SV316 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV292 @ bot_bot_set_b ) ) ) )
= $false )
| ( ( p @ SV292 @ SV316 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3375]) ).
thf(3452,plain,
! [SV316: b,SV292: b] :
( ( ( ~ ( p @ SV292 @ SV316 )
| ~ ( member_b @ SV316 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV292 @ bot_bot_set_b ) ) ) )
= $false )
| ( ( member_b @ SV316 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV292 @ bot_bot_set_b ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3376]) ).
thf(3453,plain,
! [SV319: set_b,SV296: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV296 @ SV319 )
| ~ ! [SY440: b] :
( ~ ( member_b @ SY440 @ SV296 )
| ( member_b @ SY440 @ SV319 ) ) )
= $false )
| ( ( ord_less_eq_set_b @ SV296 @ SV319 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3377]) ).
thf(3454,plain,
! [SV296: set_b,SV319: set_b] :
( ( ( ~ ( member_b @ ( sK41_SY440 @ SV319 @ SV296 ) @ SV296 )
| ( member_b @ ( sK41_SY440 @ SV319 @ SV296 ) @ SV319 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV296 @ SV319 )
| ~ ! [SY440: b] :
( ~ ( member_b @ SY440 @ SV296 )
| ( member_b @ SY440 @ SV319 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3378]) ).
thf(3455,plain,
! [SV321: set_b,SV298: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV298 @ SV321 )
| ~ ! [SY441: b] :
( ~ ( member_b @ SY441 @ SV298 )
| ( member_b @ SY441 @ SV321 ) ) )
= $false )
| ( ( ord_less_eq_set_b @ SV298 @ SV321 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3379]) ).
thf(3456,plain,
! [SV298: set_b,SV321: set_b] :
( ( ( ~ ( member_b @ ( sK42_SY441 @ SV321 @ SV298 ) @ SV298 )
| ( member_b @ ( sK42_SY441 @ SV321 @ SV298 ) @ SV321 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV298 @ SV321 )
| ~ ! [SY441: b] :
( ~ ( member_b @ SY441 @ SV298 )
| ( member_b @ SY441 @ SV321 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3380]) ).
thf(3459,plain,
! [SV148: b,SV112: b,SV163: b,SV59: b] :
( ( ( SV59 = SV163 )
= $true )
| ( ( SV112 = SV163 )
= $true )
| ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3383]) ).
thf(3460,plain,
! [SV59: b,SV163: b,SV148: b,SV112: b] :
( ( ( SV112 = SV148 )
= $true )
| ( ( SV112 = SV163 )
= $true )
| ( ( ( insert_b @ SV59 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3384]) ).
thf(3463,plain,
! [SV72: b,SV164: set_b,SV153: b,SV123: set_b] :
( ( ( ~ ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) )
= $false )
| ( ( SV72 = SV153 )
= $true )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3386]) ).
thf(3465,plain,
! [SV72: b,SV164: set_b,SV153: b,SV123: set_b] :
( ( ( ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) )
= $true )
| ( ( SV123 = SV164 )
= $false )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3388]) ).
thf(3508,plain,
! [SV141: set_b,SV47: b,SV102: set_b] :
( ( ( ord_less_eq_set_b @ SV102 @ ( insert_b @ SV47 @ SV141 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV102 @ ( insert_b @ SV47 @ SV141 ) )
| ~ ( ord_less_eq_set_b @ SV102 @ SV141 ) ) )
= $true )
| ( ( member_b @ SV47 @ SV102 )
= $true )
| ( ( member_b @ SV47 @ SV102 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3423]) ).
thf(3509,plain,
! [SV47: b,SV141: set_b,SV102: set_b] :
( ( ( ord_less_eq_set_b @ SV102 @ SV141 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV102 @ ( insert_b @ SV47 @ SV141 ) )
| ~ ( ord_less_eq_set_b @ SV102 @ SV141 ) ) )
= $true )
| ( ( member_b @ SV47 @ SV102 )
= $true )
| ( ( member_b @ SV47 @ SV102 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3423]) ).
thf(3513,plain,
! [SV292: b,SV316: b] :
( ( ( ~ ( member_b @ SV316 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV292 @ bot_bot_set_b ) ) ) )
= $false )
| ( ( p @ SV292 @ SV316 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3451]) ).
thf(3514,plain,
! [SV316: b,SV292: b] :
( ( ( ~ ( p @ SV292 @ SV316 ) )
= $false )
| ( ( member_b @ SV316 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV292 @ bot_bot_set_b ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3452]) ).
thf(3517,plain,
! [SV319: set_b,SV296: set_b] :
( ( ( ~ ! [SY440: b] :
( ~ ( member_b @ SY440 @ SV296 )
| ( member_b @ SY440 @ SV319 ) ) )
= $false )
| ( ( ord_less_eq_set_b @ SV296 @ SV319 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3453]) ).
thf(3518,plain,
! [SV296: set_b,SV319: set_b] :
( ( ( ~ ( member_b @ ( sK41_SY440 @ SV319 @ SV296 ) @ SV296 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV296 @ SV319 )
| ~ ! [SY440: b] :
( ~ ( member_b @ SY440 @ SV296 )
| ( member_b @ SY440 @ SV319 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3454]) ).
thf(3519,plain,
! [SV296: set_b,SV319: set_b] :
( ( ( member_b @ ( sK41_SY440 @ SV319 @ SV296 ) @ SV319 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV296 @ SV319 )
| ~ ! [SY440: b] :
( ~ ( member_b @ SY440 @ SV296 )
| ( member_b @ SY440 @ SV319 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3454]) ).
thf(3521,plain,
! [SV321: set_b,SV298: set_b] :
( ( ( ~ ! [SY441: b] :
( ~ ( member_b @ SY441 @ SV298 )
| ( member_b @ SY441 @ SV321 ) ) )
= $false )
| ( ( ord_less_eq_set_b @ SV298 @ SV321 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3455]) ).
thf(3522,plain,
! [SV298: set_b,SV321: set_b] :
( ( ( ~ ( member_b @ ( sK42_SY441 @ SV321 @ SV298 ) @ SV298 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV298 @ SV321 )
| ~ ! [SY441: b] :
( ~ ( member_b @ SY441 @ SV298 )
| ( member_b @ SY441 @ SV321 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3456]) ).
thf(3523,plain,
! [SV298: set_b,SV321: set_b] :
( ( ( member_b @ ( sK42_SY441 @ SV321 @ SV298 ) @ SV321 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV298 @ SV321 )
| ~ ! [SY441: b] :
( ~ ( member_b @ SY441 @ SV298 )
| ( member_b @ SY441 @ SV321 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3456]) ).
thf(3526,plain,
! [SV72: b,SV164: set_b,SV153: b,SV123: set_b] :
( ( ( ! [SY374: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SY374 ) )
| ~ ~ ( member_b @ SV153 @ SY374 ) )
| ( SV164
!= ( insert_b @ SV72 @ SY374 ) ) )
| ~ ~ ( member_b @ SV72 @ SY374 ) ) )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3463]) ).
thf(3528,plain,
! [SV72: b,SV164: set_b,SV325: set_b,SV153: b,SV123: set_b] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SV325 ) )
| ~ ~ ( member_b @ SV153 @ SV325 ) )
| ( SV164
!= ( insert_b @ SV72 @ SV325 ) ) )
| ~ ~ ( member_b @ SV72 @ SV325 ) ) )
= $true )
| ( ( SV123 = SV164 )
= $false )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3465]) ).
thf(3577,plain,
! [SV141: set_b,SV47: b,SV102: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV102 @ ( insert_b @ SV47 @ SV141 ) )
| ~ ( ord_less_eq_set_b @ SV102 @ SV141 ) )
= $false )
| ( ( ord_less_eq_set_b @ SV102 @ ( insert_b @ SV47 @ SV141 ) )
= $false )
| ( ( member_b @ SV47 @ SV102 )
= $true )
| ( ( member_b @ SV47 @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3508]) ).
thf(3578,plain,
! [SV141: set_b,SV47: b,SV102: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV102 @ ( insert_b @ SV47 @ SV141 ) )
| ~ ( ord_less_eq_set_b @ SV102 @ SV141 ) )
= $false )
| ( ( ord_less_eq_set_b @ SV102 @ SV141 )
= $false )
| ( ( member_b @ SV47 @ SV102 )
= $true )
| ( ( member_b @ SV47 @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3509]) ).
thf(3582,plain,
! [SV292: b,SV316: b] :
( ( ( member_b @ SV316 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV292 @ bot_bot_set_b ) ) )
= $true )
| ( ( p @ SV292 @ SV316 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3513]) ).
thf(3583,plain,
! [SV316: b,SV292: b] :
( ( ( p @ SV292 @ SV316 )
= $true )
| ( ( member_b @ SV316 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV292 @ bot_bot_set_b ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3514]) ).
thf(3586,plain,
! [SV319: set_b,SV296: set_b] :
( ( ( ! [SY440: b] :
( ~ ( member_b @ SY440 @ SV296 )
| ( member_b @ SY440 @ SV319 ) ) )
= $true )
| ( ( ord_less_eq_set_b @ SV296 @ SV319 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3517]) ).
thf(3587,plain,
! [SV296: set_b,SV319: set_b] :
( ( ( member_b @ ( sK41_SY440 @ SV319 @ SV296 ) @ SV296 )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV296 @ SV319 )
| ~ ! [SY440: b] :
( ~ ( member_b @ SY440 @ SV296 )
| ( member_b @ SY440 @ SV319 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3518]) ).
thf(3588,plain,
! [SV319: set_b,SV296: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV296 @ SV319 )
| ~ ! [SY440: b] :
( ~ ( member_b @ SY440 @ SV296 )
| ( member_b @ SY440 @ SV319 ) ) )
= $false )
| ( ( member_b @ ( sK41_SY440 @ SV319 @ SV296 ) @ SV319 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3519]) ).
thf(3590,plain,
! [SV321: set_b,SV298: set_b] :
( ( ( ! [SY441: b] :
( ~ ( member_b @ SY441 @ SV298 )
| ( member_b @ SY441 @ SV321 ) ) )
= $true )
| ( ( ord_less_eq_set_b @ SV298 @ SV321 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3521]) ).
thf(3591,plain,
! [SV298: set_b,SV321: set_b] :
( ( ( member_b @ ( sK42_SY441 @ SV321 @ SV298 ) @ SV298 )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV298 @ SV321 )
| ~ ! [SY441: b] :
( ~ ( member_b @ SY441 @ SV298 )
| ( member_b @ SY441 @ SV321 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3522]) ).
thf(3592,plain,
! [SV321: set_b,SV298: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV298 @ SV321 )
| ~ ! [SY441: b] :
( ~ ( member_b @ SY441 @ SV298 )
| ( member_b @ SY441 @ SV321 ) ) )
= $false )
| ( ( member_b @ ( sK42_SY441 @ SV321 @ SV298 ) @ SV321 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3523]) ).
thf(3595,plain,
! [SV72: b,SV164: set_b,SV326: set_b,SV153: b,SV123: set_b] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SV326 ) )
| ~ ~ ( member_b @ SV153 @ SV326 ) )
| ( SV164
!= ( insert_b @ SV72 @ SV326 ) ) )
| ~ ~ ( member_b @ SV72 @ SV326 ) ) )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3526]) ).
thf(3596,plain,
! [SV72: b,SV164: set_b,SV325: set_b,SV153: b,SV123: set_b] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SV325 ) )
| ~ ~ ( member_b @ SV153 @ SV325 ) )
| ( SV164
!= ( insert_b @ SV72 @ SV325 ) ) )
| ~ ~ ( member_b @ SV72 @ SV325 ) ) )
= $false )
| ( ( SV123 = SV164 )
= $false )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3528]) ).
thf(3658,plain,
! [SV47: b,SV141: set_b,SV102: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV102 @ SV141 ) )
= $false )
| ( ( ord_less_eq_set_b @ SV102 @ ( insert_b @ SV47 @ SV141 ) )
= $false )
| ( ( member_b @ SV47 @ SV102 )
= $true )
| ( ( member_b @ SV47 @ SV102 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3577]) ).
thf(3659,plain,
! [SV141: set_b,SV47: b,SV102: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV102 @ ( insert_b @ SV47 @ SV141 ) ) )
= $false )
| ( ( ord_less_eq_set_b @ SV102 @ SV141 )
= $false )
| ( ( member_b @ SV47 @ SV102 )
= $true )
| ( ( member_b @ SV47 @ SV102 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3578]) ).
thf(3663,plain,
! [SV319: set_b,SV296: set_b,SV327: b] :
( ( ( ~ ( member_b @ SV327 @ SV296 )
| ( member_b @ SV327 @ SV319 ) )
= $true )
| ( ( ord_less_eq_set_b @ SV296 @ SV319 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3586]) ).
thf(3664,plain,
! [SV319: set_b,SV296: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV296 @ SV319 )
| ~ ! [SY440: b] :
( ~ ( member_b @ SY440 @ SV296 )
| ( member_b @ SY440 @ SV319 ) ) )
= $false )
| ( ( member_b @ ( sK41_SY440 @ SV319 @ SV296 ) @ SV296 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3587]) ).
thf(3665,plain,
! [SV319: set_b,SV296: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV296 @ SV319 ) )
= $false )
| ( ( member_b @ ( sK41_SY440 @ SV319 @ SV296 ) @ SV319 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3588]) ).
thf(3666,plain,
! [SV319: set_b,SV296: set_b] :
( ( ( ~ ! [SY440: b] :
( ~ ( member_b @ SY440 @ SV296 )
| ( member_b @ SY440 @ SV319 ) ) )
= $false )
| ( ( member_b @ ( sK41_SY440 @ SV319 @ SV296 ) @ SV319 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3588]) ).
thf(3667,plain,
! [SV321: set_b,SV298: set_b,SV328: b] :
( ( ( ~ ( member_b @ SV328 @ SV298 )
| ( member_b @ SV328 @ SV321 ) )
= $true )
| ( ( ord_less_eq_set_b @ SV298 @ SV321 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3590]) ).
thf(3668,plain,
! [SV321: set_b,SV298: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV298 @ SV321 )
| ~ ! [SY441: b] :
( ~ ( member_b @ SY441 @ SV298 )
| ( member_b @ SY441 @ SV321 ) ) )
= $false )
| ( ( member_b @ ( sK42_SY441 @ SV321 @ SV298 ) @ SV298 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3591]) ).
thf(3669,plain,
! [SV321: set_b,SV298: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV298 @ SV321 ) )
= $false )
| ( ( member_b @ ( sK42_SY441 @ SV321 @ SV298 ) @ SV321 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3592]) ).
thf(3670,plain,
! [SV321: set_b,SV298: set_b] :
( ( ( ~ ! [SY441: b] :
( ~ ( member_b @ SY441 @ SV298 )
| ( member_b @ SY441 @ SV321 ) ) )
= $false )
| ( ( member_b @ ( sK42_SY441 @ SV321 @ SV298 ) @ SV321 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3592]) ).
thf(3672,plain,
! [SV72: b,SV164: set_b,SV326: set_b,SV153: b,SV123: set_b] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SV326 ) )
| ~ ~ ( member_b @ SV153 @ SV326 ) )
| ( SV164
!= ( insert_b @ SV72 @ SV326 ) ) )
| ~ ~ ( member_b @ SV72 @ SV326 ) ) )
= $false )
| ( ( SV72 = SV153 )
= $true )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3595]) ).
thf(3673,plain,
! [SV72: b,SV164: set_b,SV325: set_b,SV153: b,SV123: set_b] :
( ( ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SV325 ) )
| ~ ~ ( member_b @ SV153 @ SV325 ) )
| ( SV164
!= ( insert_b @ SV72 @ SV325 ) ) )
| ~ ~ ( member_b @ SV72 @ SV325 ) )
= $true )
| ( ( SV123 = SV164 )
= $false )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3596]) ).
thf(3753,plain,
! [SV47: b,SV141: set_b,SV102: set_b] :
( ( ( ord_less_eq_set_b @ SV102 @ SV141 )
= $true )
| ( ( ord_less_eq_set_b @ SV102 @ ( insert_b @ SV47 @ SV141 ) )
= $false )
| ( ( member_b @ SV47 @ SV102 )
= $true )
| ( ( member_b @ SV47 @ SV102 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3658]) ).
thf(3754,plain,
! [SV141: set_b,SV47: b,SV102: set_b] :
( ( ( ord_less_eq_set_b @ SV102 @ ( insert_b @ SV47 @ SV141 ) )
= $true )
| ( ( ord_less_eq_set_b @ SV102 @ SV141 )
= $false )
| ( ( member_b @ SV47 @ SV102 )
= $true )
| ( ( member_b @ SV47 @ SV102 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3659]) ).
thf(3757,plain,
! [SV319: set_b,SV296: set_b,SV327: b] :
( ( ( ~ ( member_b @ SV327 @ SV296 ) )
= $true )
| ( ( member_b @ SV327 @ SV319 )
= $true )
| ( ( ord_less_eq_set_b @ SV296 @ SV319 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3663]) ).
thf(3758,plain,
! [SV319: set_b,SV296: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV296 @ SV319 ) )
= $false )
| ( ( member_b @ ( sK41_SY440 @ SV319 @ SV296 ) @ SV296 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3664]) ).
thf(3759,plain,
! [SV319: set_b,SV296: set_b] :
( ( ( ~ ! [SY440: b] :
( ~ ( member_b @ SY440 @ SV296 )
| ( member_b @ SY440 @ SV319 ) ) )
= $false )
| ( ( member_b @ ( sK41_SY440 @ SV319 @ SV296 ) @ SV296 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3664]) ).
thf(3760,plain,
! [SV319: set_b,SV296: set_b] :
( ( ( ord_less_eq_set_b @ SV296 @ SV319 )
= $true )
| ( ( member_b @ ( sK41_SY440 @ SV319 @ SV296 ) @ SV319 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3665]) ).
thf(3761,plain,
! [SV319: set_b,SV296: set_b] :
( ( ( ! [SY440: b] :
( ~ ( member_b @ SY440 @ SV296 )
| ( member_b @ SY440 @ SV319 ) ) )
= $true )
| ( ( member_b @ ( sK41_SY440 @ SV319 @ SV296 ) @ SV319 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3666]) ).
thf(3762,plain,
! [SV321: set_b,SV298: set_b,SV328: b] :
( ( ( ~ ( member_b @ SV328 @ SV298 ) )
= $true )
| ( ( member_b @ SV328 @ SV321 )
= $true )
| ( ( ord_less_eq_set_b @ SV298 @ SV321 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3667]) ).
thf(3763,plain,
! [SV321: set_b,SV298: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV298 @ SV321 ) )
= $false )
| ( ( member_b @ ( sK42_SY441 @ SV321 @ SV298 ) @ SV298 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3668]) ).
thf(3764,plain,
! [SV321: set_b,SV298: set_b] :
( ( ( ~ ! [SY441: b] :
( ~ ( member_b @ SY441 @ SV298 )
| ( member_b @ SY441 @ SV321 ) ) )
= $false )
| ( ( member_b @ ( sK42_SY441 @ SV321 @ SV298 ) @ SV298 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3668]) ).
thf(3765,plain,
! [SV321: set_b,SV298: set_b] :
( ( ( ord_less_eq_set_b @ SV298 @ SV321 )
= $true )
| ( ( member_b @ ( sK42_SY441 @ SV321 @ SV298 ) @ SV321 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3669]) ).
thf(3766,plain,
! [SV321: set_b,SV298: set_b] :
( ( ( ! [SY441: b] :
( ~ ( member_b @ SY441 @ SV298 )
| ( member_b @ SY441 @ SV321 ) ) )
= $true )
| ( ( member_b @ ( sK42_SY441 @ SV321 @ SV298 ) @ SV321 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3670]) ).
thf(3769,plain,
! [SV72: b,SV164: set_b,SV326: set_b,SV153: b,SV123: set_b] :
( ( ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SV326 ) )
| ~ ~ ( member_b @ SV153 @ SV326 ) )
| ( SV164
!= ( insert_b @ SV72 @ SV326 ) ) )
| ~ ~ ( member_b @ SV72 @ SV326 ) )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3672]) ).
thf(3770,plain,
! [SV72: b,SV164: set_b,SV325: set_b,SV153: b,SV123: set_b] :
( ( ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SV325 ) )
| ~ ~ ( member_b @ SV153 @ SV325 ) )
| ( SV164
!= ( insert_b @ SV72 @ SV325 ) ) ) )
= $true )
| ( ( ~ ~ ( member_b @ SV72 @ SV325 ) )
= $true )
| ( ( SV123 = SV164 )
= $false )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3673]) ).
thf(3868,plain,
! [SV319: set_b,SV296: set_b,SV327: b] :
( ( ( member_b @ SV327 @ SV296 )
= $false )
| ( ( member_b @ SV327 @ SV319 )
= $true )
| ( ( ord_less_eq_set_b @ SV296 @ SV319 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3757]) ).
thf(3869,plain,
! [SV319: set_b,SV296: set_b] :
( ( ( ord_less_eq_set_b @ SV296 @ SV319 )
= $true )
| ( ( member_b @ ( sK41_SY440 @ SV319 @ SV296 ) @ SV296 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3758]) ).
thf(3870,plain,
! [SV319: set_b,SV296: set_b] :
( ( ( ! [SY440: b] :
( ~ ( member_b @ SY440 @ SV296 )
| ( member_b @ SY440 @ SV319 ) ) )
= $true )
| ( ( member_b @ ( sK41_SY440 @ SV319 @ SV296 ) @ SV296 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3759]) ).
thf(3871,plain,
! [SV319: set_b,SV296: set_b,SV329: b] :
( ( ( ~ ( member_b @ SV329 @ SV296 )
| ( member_b @ SV329 @ SV319 ) )
= $true )
| ( ( member_b @ ( sK41_SY440 @ SV319 @ SV296 ) @ SV319 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3761]) ).
thf(3872,plain,
! [SV321: set_b,SV298: set_b,SV328: b] :
( ( ( member_b @ SV328 @ SV298 )
= $false )
| ( ( member_b @ SV328 @ SV321 )
= $true )
| ( ( ord_less_eq_set_b @ SV298 @ SV321 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3762]) ).
thf(3873,plain,
! [SV321: set_b,SV298: set_b] :
( ( ( ord_less_eq_set_b @ SV298 @ SV321 )
= $true )
| ( ( member_b @ ( sK42_SY441 @ SV321 @ SV298 ) @ SV298 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3763]) ).
thf(3874,plain,
! [SV321: set_b,SV298: set_b] :
( ( ( ! [SY441: b] :
( ~ ( member_b @ SY441 @ SV298 )
| ( member_b @ SY441 @ SV321 ) ) )
= $true )
| ( ( member_b @ ( sK42_SY441 @ SV321 @ SV298 ) @ SV298 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3764]) ).
thf(3875,plain,
! [SV321: set_b,SV298: set_b,SV330: b] :
( ( ( ~ ( member_b @ SV330 @ SV298 )
| ( member_b @ SV330 @ SV321 ) )
= $true )
| ( ( member_b @ ( sK42_SY441 @ SV321 @ SV298 ) @ SV321 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3766]) ).
thf(3878,plain,
! [SV72: b,SV164: set_b,SV326: set_b,SV153: b,SV123: set_b] :
( ( ( ~ ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SV326 ) )
| ~ ~ ( member_b @ SV153 @ SV326 ) )
| ( SV164
!= ( insert_b @ SV72 @ SV326 ) ) ) )
= $true )
| ( ( ~ ~ ( member_b @ SV72 @ SV326 ) )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3769]) ).
thf(3879,plain,
! [SV72: b,SV164: set_b,SV325: set_b,SV153: b,SV123: set_b] :
( ( ( ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SV325 ) )
| ~ ~ ( member_b @ SV153 @ SV325 ) )
| ( SV164
!= ( insert_b @ SV72 @ SV325 ) ) ) )
= $false )
| ( ( ~ ~ ( member_b @ SV72 @ SV325 ) )
= $true )
| ( ( SV123 = SV164 )
= $false )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3770]) ).
thf(3934,plain,
! [SV319: set_b,SV296: set_b,SV331: b] :
( ( ( ~ ( member_b @ SV331 @ SV296 )
| ( member_b @ SV331 @ SV319 ) )
= $true )
| ( ( member_b @ ( sK41_SY440 @ SV319 @ SV296 ) @ SV296 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3870]) ).
thf(3935,plain,
! [SV319: set_b,SV296: set_b,SV329: b] :
( ( ( ~ ( member_b @ SV329 @ SV296 ) )
= $true )
| ( ( member_b @ SV329 @ SV319 )
= $true )
| ( ( member_b @ ( sK41_SY440 @ SV319 @ SV296 ) @ SV319 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3871]) ).
thf(3936,plain,
! [SV321: set_b,SV298: set_b,SV332: b] :
( ( ( ~ ( member_b @ SV332 @ SV298 )
| ( member_b @ SV332 @ SV321 ) )
= $true )
| ( ( member_b @ ( sK42_SY441 @ SV321 @ SV298 ) @ SV298 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3874]) ).
thf(3937,plain,
! [SV321: set_b,SV298: set_b,SV330: b] :
( ( ( ~ ( member_b @ SV330 @ SV298 ) )
= $true )
| ( ( member_b @ SV330 @ SV321 )
= $true )
| ( ( member_b @ ( sK42_SY441 @ SV321 @ SV298 ) @ SV321 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3875]) ).
thf(3940,plain,
! [SV72: b,SV164: set_b,SV326: set_b,SV153: b,SV123: set_b] :
( ( ( ~ ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SV326 ) )
| ~ ~ ( member_b @ SV153 @ SV326 ) )
| ( SV164
!= ( insert_b @ SV72 @ SV326 ) ) ) )
= $false )
| ( ( ~ ~ ( member_b @ SV72 @ SV326 ) )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3878]) ).
thf(3941,plain,
! [SV72: b,SV164: set_b,SV325: set_b,SV153: b,SV123: set_b] :
( ( ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SV325 ) )
| ~ ~ ( member_b @ SV153 @ SV325 ) )
| ( SV164
!= ( insert_b @ SV72 @ SV325 ) ) )
= $true )
| ( ( ~ ~ ( member_b @ SV72 @ SV325 ) )
= $true )
| ( ( SV123 = SV164 )
= $false )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3879]) ).
thf(3990,plain,
! [SV319: set_b,SV296: set_b,SV331: b] :
( ( ( ~ ( member_b @ SV331 @ SV296 ) )
= $true )
| ( ( member_b @ SV331 @ SV319 )
= $true )
| ( ( member_b @ ( sK41_SY440 @ SV319 @ SV296 ) @ SV296 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3934]) ).
thf(3991,plain,
! [SV319: set_b,SV296: set_b,SV329: b] :
( ( ( member_b @ SV329 @ SV296 )
= $false )
| ( ( member_b @ SV329 @ SV319 )
= $true )
| ( ( member_b @ ( sK41_SY440 @ SV319 @ SV296 ) @ SV319 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3935]) ).
thf(3992,plain,
! [SV321: set_b,SV298: set_b,SV332: b] :
( ( ( ~ ( member_b @ SV332 @ SV298 ) )
= $true )
| ( ( member_b @ SV332 @ SV321 )
= $true )
| ( ( member_b @ ( sK42_SY441 @ SV321 @ SV298 ) @ SV298 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3936]) ).
thf(3993,plain,
! [SV321: set_b,SV298: set_b,SV330: b] :
( ( ( member_b @ SV330 @ SV298 )
= $false )
| ( ( member_b @ SV330 @ SV321 )
= $true )
| ( ( member_b @ ( sK42_SY441 @ SV321 @ SV298 ) @ SV321 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3937]) ).
thf(3996,plain,
! [SV72: b,SV164: set_b,SV326: set_b,SV153: b,SV123: set_b] :
( ( ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SV326 ) )
| ~ ~ ( member_b @ SV153 @ SV326 ) )
| ( SV164
!= ( insert_b @ SV72 @ SV326 ) ) )
= $true )
| ( ( ~ ~ ( member_b @ SV72 @ SV326 ) )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3940]) ).
thf(3997,plain,
! [SV72: b,SV164: set_b,SV325: set_b,SV153: b,SV123: set_b] :
( ( ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SV325 ) )
| ~ ~ ( member_b @ SV153 @ SV325 ) ) )
= $true )
| ( ( SV164
!= ( insert_b @ SV72 @ SV325 ) )
= $true )
| ( ( ~ ~ ( member_b @ SV72 @ SV325 ) )
= $true )
| ( ( SV123 = SV164 )
= $false )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3941]) ).
thf(4064,plain,
! [SV319: set_b,SV296: set_b,SV331: b] :
( ( ( member_b @ SV331 @ SV296 )
= $false )
| ( ( member_b @ SV331 @ SV319 )
= $true )
| ( ( member_b @ ( sK41_SY440 @ SV319 @ SV296 ) @ SV296 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3990]) ).
thf(4065,plain,
! [SV321: set_b,SV298: set_b,SV332: b] :
( ( ( member_b @ SV332 @ SV298 )
= $false )
| ( ( member_b @ SV332 @ SV321 )
= $true )
| ( ( member_b @ ( sK42_SY441 @ SV321 @ SV298 ) @ SV298 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3992]) ).
thf(4068,plain,
! [SV72: b,SV164: set_b,SV326: set_b,SV153: b,SV123: set_b] :
( ( ( ~ ~ ( ( SV123
!= ( insert_b @ SV153 @ SV326 ) )
| ~ ~ ( member_b @ SV153 @ SV326 ) ) )
= $true )
| ( ( SV164
!= ( insert_b @ SV72 @ SV326 ) )
= $true )
| ( ( ~ ~ ( member_b @ SV72 @ SV326 ) )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3996]) ).
thf(4069,plain,
! [SV72: b,SV164: set_b,SV325: set_b,SV153: b,SV123: set_b] :
( ( ( ~ ( ( SV123
!= ( insert_b @ SV153 @ SV325 ) )
| ~ ~ ( member_b @ SV153 @ SV325 ) ) )
= $false )
| ( ( SV164
!= ( insert_b @ SV72 @ SV325 ) )
= $true )
| ( ( ~ ~ ( member_b @ SV72 @ SV325 ) )
= $true )
| ( ( SV123 = SV164 )
= $false )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3997]) ).
thf(4137,plain,
! [SV72: b,SV164: set_b,SV326: set_b,SV153: b,SV123: set_b] :
( ( ( ~ ( ( SV123
!= ( insert_b @ SV153 @ SV326 ) )
| ~ ~ ( member_b @ SV153 @ SV326 ) ) )
= $false )
| ( ( SV164
!= ( insert_b @ SV72 @ SV326 ) )
= $true )
| ( ( ~ ~ ( member_b @ SV72 @ SV326 ) )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4068]) ).
thf(4138,plain,
! [SV72: b,SV164: set_b,SV325: set_b,SV153: b,SV123: set_b] :
( ( ( ( SV123
!= ( insert_b @ SV153 @ SV325 ) )
| ~ ~ ( member_b @ SV153 @ SV325 ) )
= $true )
| ( ( SV164
!= ( insert_b @ SV72 @ SV325 ) )
= $true )
| ( ( ~ ~ ( member_b @ SV72 @ SV325 ) )
= $true )
| ( ( SV123 = SV164 )
= $false )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4069]) ).
thf(4243,plain,
! [SV72: b,SV164: set_b,SV326: set_b,SV153: b,SV123: set_b] :
( ( ( ( SV123
!= ( insert_b @ SV153 @ SV326 ) )
| ~ ~ ( member_b @ SV153 @ SV326 ) )
= $true )
| ( ( SV164
!= ( insert_b @ SV72 @ SV326 ) )
= $true )
| ( ( ~ ~ ( member_b @ SV72 @ SV326 ) )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4137]) ).
thf(4244,plain,
! [SV72: b,SV164: set_b,SV325: set_b,SV153: b,SV123: set_b] :
( ( ( SV123
!= ( insert_b @ SV153 @ SV325 ) )
= $true )
| ( ( ~ ~ ( member_b @ SV153 @ SV325 ) )
= $true )
| ( ( SV164
!= ( insert_b @ SV72 @ SV325 ) )
= $true )
| ( ( ~ ~ ( member_b @ SV72 @ SV325 ) )
= $true )
| ( ( SV123 = SV164 )
= $false )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4138]) ).
thf(4349,plain,
! [SV72: b,SV164: set_b,SV326: set_b,SV153: b,SV123: set_b] :
( ( ( SV123
!= ( insert_b @ SV153 @ SV326 ) )
= $true )
| ( ( ~ ~ ( member_b @ SV153 @ SV326 ) )
= $true )
| ( ( SV164
!= ( insert_b @ SV72 @ SV326 ) )
= $true )
| ( ( ~ ~ ( member_b @ SV72 @ SV326 ) )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4243]) ).
thf(4350,plain,
! [SV72: b,SV164: set_b,SV325: set_b,SV153: b,SV123: set_b] :
( ( ( SV123
= ( insert_b @ SV153 @ SV325 ) )
= $false )
| ( ( ~ ~ ( member_b @ SV153 @ SV325 ) )
= $true )
| ( ( SV164
!= ( insert_b @ SV72 @ SV325 ) )
= $true )
| ( ( ~ ~ ( member_b @ SV72 @ SV325 ) )
= $true )
| ( ( SV123 = SV164 )
= $false )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4244]) ).
thf(4352,plain,
! [SV72: b,SV164: set_b,SV326: set_b,SV153: b,SV123: set_b] :
( ( ( SV123
= ( insert_b @ SV153 @ SV326 ) )
= $false )
| ( ( ~ ~ ( member_b @ SV153 @ SV326 ) )
= $true )
| ( ( SV164
!= ( insert_b @ SV72 @ SV326 ) )
= $true )
| ( ( ~ ~ ( member_b @ SV72 @ SV326 ) )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4349]) ).
thf(4353,plain,
! [SV72: b,SV164: set_b,SV123: set_b,SV325: set_b,SV153: b] :
( ( ( ~ ( member_b @ SV153 @ SV325 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV325 ) )
= $false )
| ( ( SV164
!= ( insert_b @ SV72 @ SV325 ) )
= $true )
| ( ( ~ ~ ( member_b @ SV72 @ SV325 ) )
= $true )
| ( ( SV123 = SV164 )
= $false )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4350]) ).
thf(4354,plain,
! [SV72: b,SV164: set_b,SV123: set_b,SV326: set_b,SV153: b] :
( ( ( ~ ( member_b @ SV153 @ SV326 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV326 ) )
= $false )
| ( ( SV164
!= ( insert_b @ SV72 @ SV326 ) )
= $true )
| ( ( ~ ~ ( member_b @ SV72 @ SV326 ) )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4352]) ).
thf(4355,plain,
! [SV72: b,SV164: set_b,SV123: set_b,SV325: set_b,SV153: b] :
( ( ( member_b @ SV153 @ SV325 )
= $true )
| ( ( SV123
= ( insert_b @ SV153 @ SV325 ) )
= $false )
| ( ( SV164
!= ( insert_b @ SV72 @ SV325 ) )
= $true )
| ( ( ~ ~ ( member_b @ SV72 @ SV325 ) )
= $true )
| ( ( SV123 = SV164 )
= $false )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4353]) ).
thf(4356,plain,
! [SV72: b,SV164: set_b,SV123: set_b,SV326: set_b,SV153: b] :
( ( ( member_b @ SV153 @ SV326 )
= $true )
| ( ( SV123
= ( insert_b @ SV153 @ SV326 ) )
= $false )
| ( ( SV164
!= ( insert_b @ SV72 @ SV326 ) )
= $true )
| ( ( ~ ~ ( member_b @ SV72 @ SV326 ) )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4354]) ).
thf(4357,plain,
! [SV153: b,SV123: set_b,SV325: set_b,SV72: b,SV164: set_b] :
( ( ( SV164
= ( insert_b @ SV72 @ SV325 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV325 ) )
= $false )
| ( ( member_b @ SV153 @ SV325 )
= $true )
| ( ( ~ ~ ( member_b @ SV72 @ SV325 ) )
= $true )
| ( ( SV123 = SV164 )
= $false )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4355]) ).
thf(4358,plain,
! [SV153: b,SV123: set_b,SV326: set_b,SV72: b,SV164: set_b] :
( ( ( SV164
= ( insert_b @ SV72 @ SV326 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV326 ) )
= $false )
| ( ( member_b @ SV153 @ SV326 )
= $true )
| ( ( ~ ~ ( member_b @ SV72 @ SV326 ) )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4356]) ).
thf(4359,plain,
! [SV164: set_b,SV123: set_b,SV153: b,SV325: set_b,SV72: b] :
( ( ( ~ ( member_b @ SV72 @ SV325 ) )
= $false )
| ( ( member_b @ SV153 @ SV325 )
= $true )
| ( ( SV123
= ( insert_b @ SV153 @ SV325 ) )
= $false )
| ( ( SV164
= ( insert_b @ SV72 @ SV325 ) )
= $false )
| ( ( SV123 = SV164 )
= $false )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4357]) ).
thf(4360,plain,
! [SV164: set_b,SV123: set_b,SV153: b,SV326: set_b,SV72: b] :
( ( ( ~ ( member_b @ SV72 @ SV326 ) )
= $false )
| ( ( member_b @ SV153 @ SV326 )
= $true )
| ( ( SV123
= ( insert_b @ SV153 @ SV326 ) )
= $false )
| ( ( SV164
= ( insert_b @ SV72 @ SV326 ) )
= $false )
| ( ( SV72 = SV153 )
= $true )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4358]) ).
thf(4361,plain,
! [SV164: set_b,SV123: set_b,SV153: b,SV325: set_b,SV72: b] :
( ( ( member_b @ SV72 @ SV325 )
= $true )
| ( ( member_b @ SV153 @ SV325 )
= $true )
| ( ( SV123
= ( insert_b @ SV153 @ SV325 ) )
= $false )
| ( ( SV164
= ( insert_b @ SV72 @ SV325 ) )
= $false )
| ( ( SV123 = SV164 )
= $false )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4359]) ).
thf(4362,plain,
! [SV164: set_b,SV123: set_b,SV153: b,SV326: set_b,SV72: b] :
( ( ( member_b @ SV72 @ SV326 )
= $true )
| ( ( member_b @ SV153 @ SV326 )
= $true )
| ( ( SV123
= ( insert_b @ SV153 @ SV326 ) )
= $false )
| ( ( SV164
= ( insert_b @ SV72 @ SV326 ) )
= $false )
| ( ( SV72 = SV153 )
= $true )
| ( ( ( insert_b @ SV72 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4360]) ).
thf(4363,plain,
! [SV292: b,SV333: b] :
( ( ( p @ SV292 @ SV333 )
= ( member_b @ SV333 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV292 @ bot_bot_set_b ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2672]) ).
thf(4364,plain,
! [SV293: b,SV334: set_b] :
( ( ( insert_b @ SV293 @ SV334 )
= ( collect_b
@ ^ [SY442: b] :
( ( SY442 = SV293 )
| ( member_b @ SY442 @ SV334 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2674]) ).
thf(4365,plain,
! [SV295: set_Product_prod_b_b,SV335: b] :
( ( ( equiv_proj_b_b @ SV295 @ SV335 )
= ( image_b_b @ SV295 @ ( insert_b @ SV335 @ bot_bot_set_b ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2676]) ).
thf(4366,plain,
! [SV296: set_b,SV336: set_b] :
( ( ( ord_less_eq_set_b @ SV296 @ SV336 )
= ( ! [SY443: b] :
( ~ ( member_b @ SY443 @ SV296 )
| ( member_b @ SY443 @ SV336 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2678]) ).
thf(4367,plain,
! [SV298: set_b,SV337: set_b] :
( ( ( ord_less_eq_set_b @ SV298 @ SV337 )
= ( ! [SY444: b] :
( ~ ( member_b @ SY444 @ SV298 )
| ( member_b @ SY444 @ SV337 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2682]) ).
thf(4476,plain,
! [SV141: set_b,SV47: b,SV102: set_b] :
( ( ( member_b @ SV47 @ SV102 )
= $true )
| ( ( member_b @ SV47 @ SV102 )
= $true )
| ( ( ord_less_eq_set_b @ SV102 @ ( insert_b @ SV47 @ SV141 ) )
= $true )
| ( ( ord_less_eq_set_b @ SV102 @ SV141 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[3210]) ).
thf(4477,plain,
! [SV141: set_b,SV47: b,SV102: set_b] :
( ( ( member_b @ SV47 @ SV102 )
= $true )
| ( ( member_b @ SV47 @ SV102 )
= $true )
| ( ( ord_less_eq_set_b @ SV102 @ ( insert_b @ SV47 @ SV141 ) )
= $false )
| ( ( ord_less_eq_set_b @ SV102 @ SV141 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[3210]) ).
thf(4478,plain,
! [SV316: b,SV292: b] :
( ( ( p @ SV292 @ SV316 )
= $true )
| ( ( member_b @ SV316 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV292 @ bot_bot_set_b ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[3007]) ).
thf(4479,plain,
! [SV316: b,SV292: b] :
( ( ( p @ SV292 @ SV316 )
= $false )
| ( ( member_b @ SV316 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV292 @ bot_bot_set_b ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[3007]) ).
thf(4480,plain,
! [SV292: b,SV333: b] :
( ( ( p @ SV292 @ SV333 )
= $true )
| ( ( member_b @ SV333 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV292 @ bot_bot_set_b ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[4363]) ).
thf(4481,plain,
! [SV292: b,SV333: b] :
( ( ( p @ SV292 @ SV333 )
= $false )
| ( ( member_b @ SV333 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV292 @ bot_bot_set_b ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[4363]) ).
thf(4482,plain,
! [SV319: set_b,SV296: set_b] :
( ( ( ord_less_eq_set_b @ SV296 @ SV319 )
= $true )
| ( ( ! [SY440: b] :
( ~ ( member_b @ SY440 @ SV296 )
| ( member_b @ SY440 @ SV319 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[3009]) ).
thf(4483,plain,
! [SV319: set_b,SV296: set_b] :
( ( ( ord_less_eq_set_b @ SV296 @ SV319 )
= $false )
| ( ( ! [SY440: b] :
( ~ ( member_b @ SY440 @ SV296 )
| ( member_b @ SY440 @ SV319 ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[3009]) ).
thf(4484,plain,
! [SV296: set_b,SV336: set_b] :
( ( ( ord_less_eq_set_b @ SV296 @ SV336 )
= $true )
| ( ( ! [SY443: b] :
( ~ ( member_b @ SY443 @ SV296 )
| ( member_b @ SY443 @ SV336 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[4366]) ).
thf(4485,plain,
! [SV296: set_b,SV336: set_b] :
( ( ( ord_less_eq_set_b @ SV296 @ SV336 )
= $false )
| ( ( ! [SY443: b] :
( ~ ( member_b @ SY443 @ SV296 )
| ( member_b @ SY443 @ SV336 ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[4366]) ).
thf(4486,plain,
! [SV321: set_b,SV298: set_b] :
( ( ( ord_less_eq_set_b @ SV298 @ SV321 )
= $true )
| ( ( ! [SY441: b] :
( ~ ( member_b @ SY441 @ SV298 )
| ( member_b @ SY441 @ SV321 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[3013]) ).
thf(4487,plain,
! [SV321: set_b,SV298: set_b] :
( ( ( ord_less_eq_set_b @ SV298 @ SV321 )
= $false )
| ( ( ! [SY441: b] :
( ~ ( member_b @ SY441 @ SV298 )
| ( member_b @ SY441 @ SV321 ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[3013]) ).
thf(4488,plain,
! [SV298: set_b,SV337: set_b] :
( ( ( ord_less_eq_set_b @ SV298 @ SV337 )
= $true )
| ( ( ! [SY444: b] :
( ~ ( member_b @ SY444 @ SV298 )
| ( member_b @ SY444 @ SV337 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[4367]) ).
thf(4489,plain,
! [SV298: set_b,SV337: set_b] :
( ( ( ord_less_eq_set_b @ SV298 @ SV337 )
= $false )
| ( ( ! [SY444: b] :
( ~ ( member_b @ SY444 @ SV298 )
| ( member_b @ SY444 @ SV337 ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[4367]) ).
thf(4490,plain,
! [SV319: set_b,SV296: set_b,SV338: b] :
( ( ( ~ ( member_b @ SV338 @ SV296 )
| ( member_b @ SV338 @ SV319 ) )
= $true )
| ( ( ord_less_eq_set_b @ SV296 @ SV319 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4483]) ).
thf(4491,plain,
! [SV296: set_b,SV319: set_b] :
( ( ( ~ ( member_b @ ( sK44_SY440 @ SV319 @ SV296 ) @ SV296 )
| ( member_b @ ( sK44_SY440 @ SV319 @ SV296 ) @ SV319 ) )
= $false )
| ( ( ord_less_eq_set_b @ SV296 @ SV319 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[4482]) ).
thf(4492,plain,
! [SV336: set_b,SV296: set_b,SV339: b] :
( ( ( ~ ( member_b @ SV339 @ SV296 )
| ( member_b @ SV339 @ SV336 ) )
= $true )
| ( ( ord_less_eq_set_b @ SV296 @ SV336 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4485]) ).
thf(4493,plain,
! [SV336: set_b,SV296: set_b] :
( ( ( ~ ( member_b @ ( sK45_SY443 @ SV296 @ SV336 ) @ SV296 )
| ( member_b @ ( sK45_SY443 @ SV296 @ SV336 ) @ SV336 ) )
= $false )
| ( ( ord_less_eq_set_b @ SV296 @ SV336 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[4484]) ).
thf(4494,plain,
! [SV321: set_b,SV298: set_b,SV340: b] :
( ( ( ~ ( member_b @ SV340 @ SV298 )
| ( member_b @ SV340 @ SV321 ) )
= $true )
| ( ( ord_less_eq_set_b @ SV298 @ SV321 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4487]) ).
thf(4495,plain,
! [SV298: set_b,SV321: set_b] :
( ( ( ~ ( member_b @ ( sK46_SY441 @ SV321 @ SV298 ) @ SV298 )
| ( member_b @ ( sK46_SY441 @ SV321 @ SV298 ) @ SV321 ) )
= $false )
| ( ( ord_less_eq_set_b @ SV298 @ SV321 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[4486]) ).
thf(4496,plain,
! [SV337: set_b,SV298: set_b,SV341: b] :
( ( ( ~ ( member_b @ SV341 @ SV298 )
| ( member_b @ SV341 @ SV337 ) )
= $true )
| ( ( ord_less_eq_set_b @ SV298 @ SV337 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4489]) ).
thf(4497,plain,
! [SV337: set_b,SV298: set_b] :
( ( ( ~ ( member_b @ ( sK47_SY444 @ SV298 @ SV337 ) @ SV298 )
| ( member_b @ ( sK47_SY444 @ SV298 @ SV337 ) @ SV337 ) )
= $false )
| ( ( ord_less_eq_set_b @ SV298 @ SV337 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[4488]) ).
thf(4498,plain,
! [SV319: set_b,SV296: set_b,SV338: b] :
( ( ( ~ ( member_b @ SV338 @ SV296 ) )
= $true )
| ( ( member_b @ SV338 @ SV319 )
= $true )
| ( ( ord_less_eq_set_b @ SV296 @ SV319 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4490]) ).
thf(4499,plain,
! [SV296: set_b,SV319: set_b] :
( ( ( ~ ( member_b @ ( sK44_SY440 @ SV319 @ SV296 ) @ SV296 ) )
= $false )
| ( ( ord_less_eq_set_b @ SV296 @ SV319 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4491]) ).
thf(4500,plain,
! [SV296: set_b,SV319: set_b] :
( ( ( member_b @ ( sK44_SY440 @ SV319 @ SV296 ) @ SV319 )
= $false )
| ( ( ord_less_eq_set_b @ SV296 @ SV319 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4491]) ).
thf(4501,plain,
! [SV336: set_b,SV296: set_b,SV339: b] :
( ( ( ~ ( member_b @ SV339 @ SV296 ) )
= $true )
| ( ( member_b @ SV339 @ SV336 )
= $true )
| ( ( ord_less_eq_set_b @ SV296 @ SV336 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4492]) ).
thf(4502,plain,
! [SV336: set_b,SV296: set_b] :
( ( ( ~ ( member_b @ ( sK45_SY443 @ SV296 @ SV336 ) @ SV296 ) )
= $false )
| ( ( ord_less_eq_set_b @ SV296 @ SV336 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4493]) ).
thf(4503,plain,
! [SV336: set_b,SV296: set_b] :
( ( ( member_b @ ( sK45_SY443 @ SV296 @ SV336 ) @ SV336 )
= $false )
| ( ( ord_less_eq_set_b @ SV296 @ SV336 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4493]) ).
thf(4504,plain,
! [SV321: set_b,SV298: set_b,SV340: b] :
( ( ( ~ ( member_b @ SV340 @ SV298 ) )
= $true )
| ( ( member_b @ SV340 @ SV321 )
= $true )
| ( ( ord_less_eq_set_b @ SV298 @ SV321 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4494]) ).
thf(4505,plain,
! [SV298: set_b,SV321: set_b] :
( ( ( ~ ( member_b @ ( sK46_SY441 @ SV321 @ SV298 ) @ SV298 ) )
= $false )
| ( ( ord_less_eq_set_b @ SV298 @ SV321 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4495]) ).
thf(4506,plain,
! [SV298: set_b,SV321: set_b] :
( ( ( member_b @ ( sK46_SY441 @ SV321 @ SV298 ) @ SV321 )
= $false )
| ( ( ord_less_eq_set_b @ SV298 @ SV321 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4495]) ).
thf(4507,plain,
! [SV337: set_b,SV298: set_b,SV341: b] :
( ( ( ~ ( member_b @ SV341 @ SV298 ) )
= $true )
| ( ( member_b @ SV341 @ SV337 )
= $true )
| ( ( ord_less_eq_set_b @ SV298 @ SV337 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4496]) ).
thf(4508,plain,
! [SV337: set_b,SV298: set_b] :
( ( ( ~ ( member_b @ ( sK47_SY444 @ SV298 @ SV337 ) @ SV298 ) )
= $false )
| ( ( ord_less_eq_set_b @ SV298 @ SV337 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4497]) ).
thf(4509,plain,
! [SV337: set_b,SV298: set_b] :
( ( ( member_b @ ( sK47_SY444 @ SV298 @ SV337 ) @ SV337 )
= $false )
| ( ( ord_less_eq_set_b @ SV298 @ SV337 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4497]) ).
thf(4510,plain,
! [SV319: set_b,SV296: set_b,SV338: b] :
( ( ( member_b @ SV338 @ SV296 )
= $false )
| ( ( member_b @ SV338 @ SV319 )
= $true )
| ( ( ord_less_eq_set_b @ SV296 @ SV319 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4498]) ).
thf(4511,plain,
! [SV296: set_b,SV319: set_b] :
( ( ( member_b @ ( sK44_SY440 @ SV319 @ SV296 ) @ SV296 )
= $true )
| ( ( ord_less_eq_set_b @ SV296 @ SV319 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4499]) ).
thf(4512,plain,
! [SV336: set_b,SV296: set_b,SV339: b] :
( ( ( member_b @ SV339 @ SV296 )
= $false )
| ( ( member_b @ SV339 @ SV336 )
= $true )
| ( ( ord_less_eq_set_b @ SV296 @ SV336 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4501]) ).
thf(4513,plain,
! [SV336: set_b,SV296: set_b] :
( ( ( member_b @ ( sK45_SY443 @ SV296 @ SV336 ) @ SV296 )
= $true )
| ( ( ord_less_eq_set_b @ SV296 @ SV336 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4502]) ).
thf(4514,plain,
! [SV321: set_b,SV298: set_b,SV340: b] :
( ( ( member_b @ SV340 @ SV298 )
= $false )
| ( ( member_b @ SV340 @ SV321 )
= $true )
| ( ( ord_less_eq_set_b @ SV298 @ SV321 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4504]) ).
thf(4515,plain,
! [SV298: set_b,SV321: set_b] :
( ( ( member_b @ ( sK46_SY441 @ SV321 @ SV298 ) @ SV298 )
= $true )
| ( ( ord_less_eq_set_b @ SV298 @ SV321 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4505]) ).
thf(4516,plain,
! [SV337: set_b,SV298: set_b,SV341: b] :
( ( ( member_b @ SV341 @ SV298 )
= $false )
| ( ( member_b @ SV341 @ SV337 )
= $true )
| ( ( ord_less_eq_set_b @ SV298 @ SV337 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4507]) ).
thf(4517,plain,
! [SV337: set_b,SV298: set_b] :
( ( ( member_b @ ( sK47_SY444 @ SV298 @ SV337 ) @ SV298 )
= $true )
| ( ( ord_less_eq_set_b @ SV298 @ SV337 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4508]) ).
thf(4519,plain,
! [SV260: b,SV356: b > $o] :
( ( ( ~ ~ ~ ~ ~ ( SV356 @ SV260 ) )
= $false )
| ( ( ~ ( SV356 @ SV260 ) )
= $false )
| ( ( ~ ~ ( SV356
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV356 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2554:[bind(SV194,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( ~ ( ~ ( SV356 @ SX0 ) ) ) ) ) ))]]) ).
thf(4520,plain,
! [SV260: b,SV353: b > $o] :
( ( ( ~ ~ ~ ~ ( SV353 @ SV260 ) )
= $false )
| ( ( ~ ( SV353 @ SV260 ) )
= $true )
| ( ( ~ ~ ( SV353
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV353 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2554:[bind(SV194,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( ~ ( SV353 @ SX0 ) ) ) ) ))]]) ).
thf(4523,plain,
! [SV260: b,SV350: b > $o] :
( ( ( ~ ~ ~ ( SV350 @ SV260 ) )
= $false )
| ( ( ~ ( SV350 @ SV260 ) )
= $false )
| ( ( ~ ~ ( SV350
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV350 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2554:[bind(SV194,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( SV350 @ SX0 ) ) ) ))]]) ).
thf(4524,plain,
! [SV260: b,SV347: b > $o] :
( ( ( ~ ~ ( SV347 @ SV260 ) )
= $false )
| ( ( ~ ( SV347 @ SV260 ) )
= $true )
| ( ( ~ ~ ( SV347
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV347 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2554:[bind(SV194,$thf( ^ [SX0: b] : ~ ( ~ ( SV347 @ SX0 ) ) ))]]) ).
thf(4527,plain,
! [SV260: b,SV344: b > $o] :
( ( ( ~ ( SV344 @ SV260 ) )
= $false )
| ( ( ~ ( SV344 @ SV260 ) )
= $false )
| ( ( ~ ~ ( SV344
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV344 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2554:[bind(SV194,$thf( ^ [SX0: b] : ~ ( SV344 @ SX0 ) ))]]) ).
thf(4574,plain,
! [SV111: b] :
( ( member_b @ SV111 @ bot_bot_set_b )
= $false ),
inference(extuni,[status(esa)],[3325:[bind(SV57,$thf( bot_bot_set_b ))]]) ).
thf(4576,plain,
! [SV265: b,SV374: b > $o] :
( ( ( ~ ~ ~ ~ ~ ( SV374 @ SV265 ) )
= $false )
| ( ( ~ ( SV374 @ SV265 ) )
= $false )
| ( ( ~ ~ ( SV374
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV374 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2578:[bind(SV204,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( ~ ( ~ ( SV374 @ SX0 ) ) ) ) ) ))]]) ).
thf(4577,plain,
! [SV265: b,SV371: b > $o] :
( ( ( ~ ~ ~ ~ ( SV371 @ SV265 ) )
= $false )
| ( ( ~ ( SV371 @ SV265 ) )
= $true )
| ( ( ~ ~ ( SV371
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV371 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2578:[bind(SV204,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( ~ ( SV371 @ SX0 ) ) ) ) ))]]) ).
thf(4580,plain,
! [SV265: b,SV368: b > $o] :
( ( ( ~ ~ ~ ( SV368 @ SV265 ) )
= $false )
| ( ( ~ ( SV368 @ SV265 ) )
= $false )
| ( ( ~ ~ ( SV368
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV368 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2578:[bind(SV204,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( SV368 @ SX0 ) ) ) ))]]) ).
thf(4581,plain,
! [SV265: b,SV365: b > $o] :
( ( ( ~ ~ ( SV365 @ SV265 ) )
= $false )
| ( ( ~ ( SV365 @ SV265 ) )
= $true )
| ( ( ~ ~ ( SV365
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV365 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2578:[bind(SV204,$thf( ^ [SX0: b] : ~ ( ~ ( SV365 @ SX0 ) ) ))]]) ).
thf(4584,plain,
! [SV265: b,SV362: b > $o] :
( ( ( ~ ( SV362 @ SV265 ) )
= $false )
| ( ( ~ ( SV362 @ SV265 ) )
= $false )
| ( ( ~ ~ ( SV362
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV362 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2578:[bind(SV204,$thf( ^ [SX0: b] : ~ ( SV362 @ SX0 ) ))]]) ).
thf(4586,plain,
! [SV266: b,SV392: b > $o] :
( ( ( ~ ~ ~ ~ ~ ( SV392 @ SV266 ) )
= $false )
| ( ( ~ ( SV392 @ SV266 ) )
= $false )
| ( ( ~ ~ ( SV392
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV392 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2580:[bind(SV206,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( ~ ( ~ ( SV392 @ SX0 ) ) ) ) ) ))]]) ).
thf(4587,plain,
! [SV266: b,SV389: b > $o] :
( ( ( ~ ~ ~ ~ ( SV389 @ SV266 ) )
= $false )
| ( ( ~ ( SV389 @ SV266 ) )
= $true )
| ( ( ~ ~ ( SV389
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV389 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2580:[bind(SV206,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( ~ ( SV389 @ SX0 ) ) ) ) ))]]) ).
thf(4590,plain,
! [SV266: b,SV386: b > $o] :
( ( ( ~ ~ ~ ( SV386 @ SV266 ) )
= $false )
| ( ( ~ ( SV386 @ SV266 ) )
= $false )
| ( ( ~ ~ ( SV386
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV386 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2580:[bind(SV206,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( SV386 @ SX0 ) ) ) ))]]) ).
thf(4591,plain,
! [SV266: b,SV383: b > $o] :
( ( ( ~ ~ ( SV383 @ SV266 ) )
= $false )
| ( ( ~ ( SV383 @ SV266 ) )
= $true )
| ( ( ~ ~ ( SV383
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV383 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2580:[bind(SV206,$thf( ^ [SX0: b] : ~ ( ~ ( SV383 @ SX0 ) ) ))]]) ).
thf(4594,plain,
! [SV266: b,SV380: b > $o] :
( ( ( ~ ( SV380 @ SV266 ) )
= $false )
| ( ( ~ ( SV380 @ SV266 ) )
= $false )
| ( ( ~ ~ ( SV380
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV380 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2580:[bind(SV206,$thf( ^ [SX0: b] : ~ ( SV380 @ SX0 ) ))]]) ).
thf(4595,plain,
! [SV410: b > b > $o,SV438: b > set_b,SV99: b,SV437: b > b] :
( ( ( ( insert_b @ ( SV437 @ SV99 ) @ ( SV438 @ SV99 ) )
!= ( collect_b
@ ^ [SX0: b] :
~ ( SV410 @ SV99 @ SX0 ) ) )
= $false )
| ( ( ( insert_b @ ( SV437 @ SV99 ) @ ( SV438 @ SV99 ) )
= ( insert_b @ SV99 @ bot_bot_set_b ) )
= $false )
| ( ( ~ ( SV410 @ SV99
@ ( sK51_E
@ ^ [SX0: b] : ( insert_b @ ( SV437 @ SX0 ) @ ( SV438 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV410 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ( ( SV99
!= ( sK51_E
@ ^ [SX0: b] : ( insert_b @ ( SV437 @ SX0 ) @ ( SV438 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV410 @ SX0 @ SX1 ) ) )
| ~ ( ( ( insert_b
@ ( SV437
@ ( sK51_E
@ ^ [SX0: b] : ( insert_b @ ( SV437 @ SX0 ) @ ( SV438 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV410 @ SX0 @ SX1 ) ) )
@ ( SV438
@ ( sK51_E
@ ^ [SX0: b] : ( insert_b @ ( SV437 @ SX0 ) @ ( SV438 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV410 @ SX0 @ SX1 ) ) ) )
!= ( collect_b
@ ^ [SX0: b] :
~ ( SV410
@ ( sK51_E
@ ^ [SX1: b] : ( insert_b @ ( SV437 @ SX1 ) @ ( SV438 @ SX1 ) )
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( SV410 @ SX1 @ SX2 ) )
@ SX0 ) ) ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2582:[bind(SV44,$thf( ^ [SX0: b] : ( ( insert_b @ ( SV437 @ SX0 ) @ ( SV438 @ SX0 ) ) != ( collect_b @ ^ [SX1: b] : ~ ( SV410 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(4596,plain,
! [SV410: b > b > $o,SV442: b > set_b,SV99: b,SV441: b > b] :
( ( ( ( insert_b @ ( SV441 @ SV99 ) @ ( SV442 @ SV99 ) )
!= ( collect_b
@ ^ [SX0: b] :
~ ( SV410 @ SV99 @ SX0 ) ) )
= $false )
| ( ( ( insert_b @ ( SV441 @ SV99 ) @ ( SV442 @ SV99 ) )
= ( insert_b @ SV99 @ bot_bot_set_b ) )
= $false )
| ( ( ~ ( SV410 @ SV99
@ ( sK51_E
@ ^ [SX0: b] : ( insert_b @ ( SV441 @ SX0 ) @ ( SV442 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV410 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( ( SV99
!= ( sK51_E
@ ^ [SX0: b] : ( insert_b @ ( SV441 @ SX0 ) @ ( SV442 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV410 @ SX0 @ SX1 ) ) )
| ~ ( ( ( insert_b
@ ( SV441
@ ( sK51_E
@ ^ [SX0: b] : ( insert_b @ ( SV441 @ SX0 ) @ ( SV442 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV410 @ SX0 @ SX1 ) ) )
@ ( SV442
@ ( sK51_E
@ ^ [SX0: b] : ( insert_b @ ( SV441 @ SX0 ) @ ( SV442 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV410 @ SX0 @ SX1 ) ) ) )
!= ( collect_b
@ ^ [SX0: b] :
~ ( SV410
@ ( sK51_E
@ ^ [SX1: b] : ( insert_b @ ( SV441 @ SX1 ) @ ( SV442 @ SX1 ) )
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( SV410 @ SX1 @ SX2 ) )
@ SX0 ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2582:[bind(SV44,$thf( ^ [SX0: b] : ( ( insert_b @ ( SV441 @ SX0 ) @ ( SV442 @ SX0 ) ) != ( collect_b @ ^ [SX1: b] : ~ ( SV410 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(4597,plain,
! [SV405: b > b > $o,SV446: b > set_b,SV99: b,SV445: b > b] :
( ( ( ( insert_b @ ( SV445 @ SV99 ) @ ( SV446 @ SV99 ) )
!= ( collect_b @ ( SV405 @ SV99 ) ) )
= $false )
| ( ( ( insert_b @ ( SV445 @ SV99 ) @ ( SV446 @ SV99 ) )
= ( insert_b @ SV99 @ bot_bot_set_b ) )
= $false )
| ( ( ( collect_b @ ( SV405 @ SV99 ) )
= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV99 != SX0 )
| ~ ( ( ( insert_b @ ( SV445 @ SX0 ) @ ( SV446 @ SX0 ) )
!= ( collect_b @ ( SV405 @ SX0 ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2582:[bind(SV44,$thf( ^ [SX0: b] : ( ( insert_b @ ( SV445 @ SX0 ) @ ( SV446 @ SX0 ) ) != ( collect_b @ ( SV405 @ SX0 ) ) ) ))]]) ).
thf(4598,plain,
! [SV482: b > set_b,SV481: b > b,SV99: b,SV454: b > b > $o] :
( ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV454 @ SV99 @ SX0 ) )
!= ( insert_b @ ( SV481 @ SV99 ) @ ( SV482 @ SV99 ) ) )
= $false )
| ( ( ( insert_b @ ( SV481 @ SV99 ) @ ( SV482 @ SV99 ) )
= ( insert_b @ SV99 @ bot_bot_set_b ) )
= $false )
| ( ( ~ ( SV454 @ SV99
@ ( sK52_E
@ ^ [SX0: b] : ( insert_b @ ( SV481 @ SX0 ) @ ( SV482 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV454 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ( ( SV99
!= ( sK52_E
@ ^ [SX0: b] : ( insert_b @ ( SV481 @ SX0 ) @ ( SV482 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV454 @ SX0 @ SX1 ) ) )
| ~ ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV454
@ ( sK52_E
@ ^ [SX1: b] : ( insert_b @ ( SV481 @ SX1 ) @ ( SV482 @ SX1 ) )
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( SV454 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( insert_b
@ ( SV481
@ ( sK52_E
@ ^ [SX0: b] : ( insert_b @ ( SV481 @ SX0 ) @ ( SV482 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV454 @ SX0 @ SX1 ) ) )
@ ( SV482
@ ( sK52_E
@ ^ [SX0: b] : ( insert_b @ ( SV481 @ SX0 ) @ ( SV482 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV454 @ SX0 @ SX1 ) ) ) ) ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2582:[bind(SV44,$thf( ^ [SX0: b] : ( ( collect_b @ ^ [SX1: b] : ~ ( SV454 @ SX0 @ SX1 ) ) != ( insert_b @ ( SV481 @ SX0 ) @ ( SV482 @ SX0 ) ) ) ))]]) ).
thf(4599,plain,
! [SV486: b > set_b,SV485: b > b,SV99: b,SV454: b > b > $o] :
( ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV454 @ SV99 @ SX0 ) )
!= ( insert_b @ ( SV485 @ SV99 ) @ ( SV486 @ SV99 ) ) )
= $false )
| ( ( ( insert_b @ ( SV485 @ SV99 ) @ ( SV486 @ SV99 ) )
= ( insert_b @ SV99 @ bot_bot_set_b ) )
= $false )
| ( ( ~ ( SV454 @ SV99
@ ( sK52_E
@ ^ [SX0: b] : ( insert_b @ ( SV485 @ SX0 ) @ ( SV486 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV454 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( ( SV99
!= ( sK52_E
@ ^ [SX0: b] : ( insert_b @ ( SV485 @ SX0 ) @ ( SV486 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV454 @ SX0 @ SX1 ) ) )
| ~ ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV454
@ ( sK52_E
@ ^ [SX1: b] : ( insert_b @ ( SV485 @ SX1 ) @ ( SV486 @ SX1 ) )
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( SV454 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( insert_b
@ ( SV485
@ ( sK52_E
@ ^ [SX0: b] : ( insert_b @ ( SV485 @ SX0 ) @ ( SV486 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV454 @ SX0 @ SX1 ) ) )
@ ( SV486
@ ( sK52_E
@ ^ [SX0: b] : ( insert_b @ ( SV485 @ SX0 ) @ ( SV486 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV454 @ SX0 @ SX1 ) ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2582:[bind(SV44,$thf( ^ [SX0: b] : ( ( collect_b @ ^ [SX1: b] : ~ ( SV454 @ SX0 @ SX1 ) ) != ( insert_b @ ( SV485 @ SX0 ) @ ( SV486 @ SX0 ) ) ) ))]]) ).
thf(4600,plain,
! [SV490: b > set_b,SV489: b > b,SV99: b,SV449: b > b > $o] :
( ( ( ( collect_b @ ( SV449 @ SV99 ) )
!= ( insert_b @ ( SV489 @ SV99 ) @ ( SV490 @ SV99 ) ) )
= $false )
| ( ( ( insert_b @ ( SV489 @ SV99 ) @ ( SV490 @ SV99 ) )
= ( insert_b @ SV99 @ bot_bot_set_b ) )
= $false )
| ( ( ( collect_b @ ( SV449 @ SV99 ) )
= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV99 != SX0 )
| ~ ( ( ( collect_b @ ( SV449 @ SX0 ) )
!= ( insert_b @ ( SV489 @ SX0 ) @ ( SV490 @ SX0 ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2582:[bind(SV44,$thf( ^ [SX0: b] : ( ( collect_b @ ( SV449 @ SX0 ) ) != ( insert_b @ ( SV489 @ SX0 ) @ ( SV490 @ SX0 ) ) ) ))]]) ).
thf(4601,plain,
! [SV402: b > set_b,SV99: b,SV401: b > set_b] :
( ( ( ( SV401 @ SV99 )
!= ( SV402 @ SV99 ) )
= $false )
| ( ( ( SV401 @ SV99 )
= ( SV402 @ SV99 ) )
= $true )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV99 != SX0 )
| ~ ( ( ( SV401 @ SX0 )
!= ( SV402 @ SX0 ) ) ) ) )
= ( insert_b @ SV99 @ bot_bot_set_b ) )
= $true ) ),
inference(extuni,[status(esa)],[2582:[bind(SV44,$thf( ^ [SX0: b] : ( ( SV401 @ SX0 ) != ( SV402 @ SX0 ) ) ))]]) ).
thf(4604,plain,
! [SV99: b,SV398: b > $o] :
( ( ( ~ ( SV398 @ SV99 ) )
= $false )
| ( ( ~ ( SV398 @ SV99 ) )
= $false )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV99 != SX0 )
| ~ ~ ( SV398 @ SX0 ) ) )
!= ( insert_b @ SV99 @ bot_bot_set_b ) )
= $false ) ),
inference(extuni,[status(esa)],[2582:[bind(SV44,$thf( ^ [SX0: b] : ~ ( SV398 @ SX0 ) ))]]) ).
thf(4605,plain,
! [SV505: b > b > $o,SV533: b > set_b,SV124: b,SV532: b > b] :
( ( ( ( insert_b @ ( SV532 @ SV124 ) @ ( SV533 @ SV124 ) )
!= ( collect_b
@ ^ [SX0: b] :
~ ( SV505 @ SV124 @ SX0 ) ) )
= $false )
| ( ( ( insert_b @ ( SV532 @ SV124 ) @ ( SV533 @ SV124 ) )
= ( insert_b @ SV124 @ bot_bot_set_b ) )
= $false )
| ( ( ~ ( SV505 @ SV124
@ ( sK53_E
@ ^ [SX0: b] : ( insert_b @ ( SV532 @ SX0 ) @ ( SV533 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV505 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ( ( ( sK53_E
@ ^ [SX0: b] : ( insert_b @ ( SV532 @ SX0 ) @ ( SV533 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV505 @ SX0 @ SX1 ) )
!= SV124 )
| ~ ( ( ( insert_b
@ ( SV532
@ ( sK53_E
@ ^ [SX0: b] : ( insert_b @ ( SV532 @ SX0 ) @ ( SV533 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV505 @ SX0 @ SX1 ) ) )
@ ( SV533
@ ( sK53_E
@ ^ [SX0: b] : ( insert_b @ ( SV532 @ SX0 ) @ ( SV533 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV505 @ SX0 @ SX1 ) ) ) )
!= ( collect_b
@ ^ [SX0: b] :
~ ( SV505
@ ( sK53_E
@ ^ [SX1: b] : ( insert_b @ ( SV532 @ SX1 ) @ ( SV533 @ SX1 ) )
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( SV505 @ SX1 @ SX2 ) )
@ SX0 ) ) ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2590:[bind(SV73,$thf( ^ [SX0: b] : ( ( insert_b @ ( SV532 @ SX0 ) @ ( SV533 @ SX0 ) ) != ( collect_b @ ^ [SX1: b] : ~ ( SV505 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(4606,plain,
! [SV505: b > b > $o,SV537: b > set_b,SV124: b,SV536: b > b] :
( ( ( ( insert_b @ ( SV536 @ SV124 ) @ ( SV537 @ SV124 ) )
!= ( collect_b
@ ^ [SX0: b] :
~ ( SV505 @ SV124 @ SX0 ) ) )
= $false )
| ( ( ( insert_b @ ( SV536 @ SV124 ) @ ( SV537 @ SV124 ) )
= ( insert_b @ SV124 @ bot_bot_set_b ) )
= $false )
| ( ( ~ ( SV505 @ SV124
@ ( sK53_E
@ ^ [SX0: b] : ( insert_b @ ( SV536 @ SX0 ) @ ( SV537 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV505 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( ( ( sK53_E
@ ^ [SX0: b] : ( insert_b @ ( SV536 @ SX0 ) @ ( SV537 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV505 @ SX0 @ SX1 ) )
!= SV124 )
| ~ ( ( ( insert_b
@ ( SV536
@ ( sK53_E
@ ^ [SX0: b] : ( insert_b @ ( SV536 @ SX0 ) @ ( SV537 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV505 @ SX0 @ SX1 ) ) )
@ ( SV537
@ ( sK53_E
@ ^ [SX0: b] : ( insert_b @ ( SV536 @ SX0 ) @ ( SV537 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV505 @ SX0 @ SX1 ) ) ) )
!= ( collect_b
@ ^ [SX0: b] :
~ ( SV505
@ ( sK53_E
@ ^ [SX1: b] : ( insert_b @ ( SV536 @ SX1 ) @ ( SV537 @ SX1 ) )
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( SV505 @ SX1 @ SX2 ) )
@ SX0 ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2590:[bind(SV73,$thf( ^ [SX0: b] : ( ( insert_b @ ( SV536 @ SX0 ) @ ( SV537 @ SX0 ) ) != ( collect_b @ ^ [SX1: b] : ~ ( SV505 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(4607,plain,
! [SV500: b > b > $o,SV541: b > set_b,SV124: b,SV540: b > b] :
( ( ( ( insert_b @ ( SV540 @ SV124 ) @ ( SV541 @ SV124 ) )
!= ( collect_b @ ( SV500 @ SV124 ) ) )
= $false )
| ( ( ( insert_b @ ( SV540 @ SV124 ) @ ( SV541 @ SV124 ) )
= ( insert_b @ SV124 @ bot_bot_set_b ) )
= $false )
| ( ( ( collect_b @ ( SV500 @ SV124 ) )
= ( collect_b
@ ^ [SX0: b] :
~ ( ( SX0 != SV124 )
| ~ ( ( ( insert_b @ ( SV540 @ SX0 ) @ ( SV541 @ SX0 ) )
!= ( collect_b @ ( SV500 @ SX0 ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2590:[bind(SV73,$thf( ^ [SX0: b] : ( ( insert_b @ ( SV540 @ SX0 ) @ ( SV541 @ SX0 ) ) != ( collect_b @ ( SV500 @ SX0 ) ) ) ))]]) ).
thf(4608,plain,
! [SV577: b > set_b,SV576: b > b,SV124: b,SV549: b > b > $o] :
( ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV549 @ SV124 @ SX0 ) )
!= ( insert_b @ ( SV576 @ SV124 ) @ ( SV577 @ SV124 ) ) )
= $false )
| ( ( ( insert_b @ ( SV576 @ SV124 ) @ ( SV577 @ SV124 ) )
= ( insert_b @ SV124 @ bot_bot_set_b ) )
= $false )
| ( ( ~ ( SV549 @ SV124
@ ( sK54_E
@ ^ [SX0: b] : ( insert_b @ ( SV576 @ SX0 ) @ ( SV577 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV549 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ( ( ( sK54_E
@ ^ [SX0: b] : ( insert_b @ ( SV576 @ SX0 ) @ ( SV577 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV549 @ SX0 @ SX1 ) )
!= SV124 )
| ~ ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV549
@ ( sK54_E
@ ^ [SX1: b] : ( insert_b @ ( SV576 @ SX1 ) @ ( SV577 @ SX1 ) )
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( SV549 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( insert_b
@ ( SV576
@ ( sK54_E
@ ^ [SX0: b] : ( insert_b @ ( SV576 @ SX0 ) @ ( SV577 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV549 @ SX0 @ SX1 ) ) )
@ ( SV577
@ ( sK54_E
@ ^ [SX0: b] : ( insert_b @ ( SV576 @ SX0 ) @ ( SV577 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV549 @ SX0 @ SX1 ) ) ) ) ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2590:[bind(SV73,$thf( ^ [SX0: b] : ( ( collect_b @ ^ [SX1: b] : ~ ( SV549 @ SX0 @ SX1 ) ) != ( insert_b @ ( SV576 @ SX0 ) @ ( SV577 @ SX0 ) ) ) ))]]) ).
thf(4609,plain,
! [SV581: b > set_b,SV580: b > b,SV124: b,SV549: b > b > $o] :
( ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV549 @ SV124 @ SX0 ) )
!= ( insert_b @ ( SV580 @ SV124 ) @ ( SV581 @ SV124 ) ) )
= $false )
| ( ( ( insert_b @ ( SV580 @ SV124 ) @ ( SV581 @ SV124 ) )
= ( insert_b @ SV124 @ bot_bot_set_b ) )
= $false )
| ( ( ~ ( SV549 @ SV124
@ ( sK54_E
@ ^ [SX0: b] : ( insert_b @ ( SV580 @ SX0 ) @ ( SV581 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV549 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( ( ( sK54_E
@ ^ [SX0: b] : ( insert_b @ ( SV580 @ SX0 ) @ ( SV581 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV549 @ SX0 @ SX1 ) )
!= SV124 )
| ~ ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV549
@ ( sK54_E
@ ^ [SX1: b] : ( insert_b @ ( SV580 @ SX1 ) @ ( SV581 @ SX1 ) )
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( SV549 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( insert_b
@ ( SV580
@ ( sK54_E
@ ^ [SX0: b] : ( insert_b @ ( SV580 @ SX0 ) @ ( SV581 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV549 @ SX0 @ SX1 ) ) )
@ ( SV581
@ ( sK54_E
@ ^ [SX0: b] : ( insert_b @ ( SV580 @ SX0 ) @ ( SV581 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV549 @ SX0 @ SX1 ) ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2590:[bind(SV73,$thf( ^ [SX0: b] : ( ( collect_b @ ^ [SX1: b] : ~ ( SV549 @ SX0 @ SX1 ) ) != ( insert_b @ ( SV580 @ SX0 ) @ ( SV581 @ SX0 ) ) ) ))]]) ).
thf(4610,plain,
! [SV585: b > set_b,SV584: b > b,SV124: b,SV544: b > b > $o] :
( ( ( ( collect_b @ ( SV544 @ SV124 ) )
!= ( insert_b @ ( SV584 @ SV124 ) @ ( SV585 @ SV124 ) ) )
= $false )
| ( ( ( insert_b @ ( SV584 @ SV124 ) @ ( SV585 @ SV124 ) )
= ( insert_b @ SV124 @ bot_bot_set_b ) )
= $false )
| ( ( ( collect_b @ ( SV544 @ SV124 ) )
= ( collect_b
@ ^ [SX0: b] :
~ ( ( SX0 != SV124 )
| ~ ( ( ( collect_b @ ( SV544 @ SX0 ) )
!= ( insert_b @ ( SV584 @ SX0 ) @ ( SV585 @ SX0 ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2590:[bind(SV73,$thf( ^ [SX0: b] : ( ( collect_b @ ( SV544 @ SX0 ) ) != ( insert_b @ ( SV584 @ SX0 ) @ ( SV585 @ SX0 ) ) ) ))]]) ).
thf(4611,plain,
! [SV497: b > set_b,SV124: b,SV496: b > set_b] :
( ( ( ( SV496 @ SV124 )
!= ( SV497 @ SV124 ) )
= $false )
| ( ( ( SV496 @ SV124 )
= ( SV497 @ SV124 ) )
= $true )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SX0 != SV124 )
| ~ ( ( ( SV496 @ SX0 )
!= ( SV497 @ SX0 ) ) ) ) )
= ( insert_b @ SV124 @ bot_bot_set_b ) )
= $true ) ),
inference(extuni,[status(esa)],[2590:[bind(SV73,$thf( ^ [SX0: b] : ( ( SV496 @ SX0 ) != ( SV497 @ SX0 ) ) ))]]) ).
thf(4614,plain,
! [SV124: b,SV493: b > $o] :
( ( ( ~ ( SV493 @ SV124 ) )
= $false )
| ( ( ~ ( SV493 @ SV124 ) )
= $false )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SX0 != SV124 )
| ~ ~ ( SV493 @ SX0 ) ) )
!= ( insert_b @ SV124 @ bot_bot_set_b ) )
= $false ) ),
inference(extuni,[status(esa)],[2590:[bind(SV73,$thf( ^ [SX0: b] : ~ ( SV493 @ SX0 ) ))]]) ).
thf(4616,plain,
! [SV267: b,SV600: b > $o] :
( ( ( ~ ~ ~ ~ ~ ( SV600 @ SV267 ) )
= $false )
| ( ( ~ ( SV600 @ SV267 ) )
= $false )
| ( ( ~ ~ ( SV600
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV600 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2592:[bind(SV208,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( ~ ( ~ ( SV600 @ SX0 ) ) ) ) ) ))]]) ).
thf(4617,plain,
! [SV267: b,SV597: b > $o] :
( ( ( ~ ~ ~ ~ ( SV597 @ SV267 ) )
= $false )
| ( ( ~ ( SV597 @ SV267 ) )
= $true )
| ( ( ~ ~ ( SV597
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV597 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2592:[bind(SV208,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( ~ ( SV597 @ SX0 ) ) ) ) ))]]) ).
thf(4620,plain,
! [SV267: b,SV594: b > $o] :
( ( ( ~ ~ ~ ( SV594 @ SV267 ) )
= $false )
| ( ( ~ ( SV594 @ SV267 ) )
= $false )
| ( ( ~ ~ ( SV594
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV594 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2592:[bind(SV208,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( SV594 @ SX0 ) ) ) ))]]) ).
thf(4621,plain,
! [SV267: b,SV591: b > $o] :
( ( ( ~ ~ ( SV591 @ SV267 ) )
= $false )
| ( ( ~ ( SV591 @ SV267 ) )
= $true )
| ( ( ~ ~ ( SV591
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV591 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2592:[bind(SV208,$thf( ^ [SX0: b] : ~ ( ~ ( SV591 @ SX0 ) ) ))]]) ).
thf(4624,plain,
! [SV267: b,SV588: b > $o] :
( ( ( ~ ( SV588 @ SV267 ) )
= $false )
| ( ( ~ ( SV588 @ SV267 ) )
= $false )
| ( ( ~ ~ ( SV588
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV588 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2592:[bind(SV208,$thf( ^ [SX0: b] : ~ ( SV588 @ SX0 ) ))]]) ).
thf(4625,plain,
! [SV621: b > b > $o,SV99: b,SV620: b > b > $o] :
( ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV620 @ SV99 @ SX0 )
| ( SV621 @ SV99 @ SX0 ) ) ) )
= $true )
| ( ( ( SV620 @ SV99
@ ( sK55_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV620 @ SX0 @ SX1 )
| ( SV621 @ SX0 @ SX1 ) ) ) )
| ( SV621 @ SV99
@ ( sK55_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV620 @ SX0 @ SX1 )
| ( SV621 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( SV99
!= ( sK55_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV620 @ SX0 @ SX1 )
| ( SV621 @ SX0 @ SX1 ) ) ) )
| ( bot_bot_set_b
!= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV620
@ ( sK55_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( ( SV620 @ SX1 @ SX2 )
| ( SV621 @ SX1 @ SX2 ) ) )
@ SX0 )
| ( SV621
@ ( sK55_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( ( SV620 @ SX1 @ SX2 )
| ( SV621 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2594:[bind(SV44,$thf( ^ [SX0: b] : ( bot_bot_set_b = ( collect_b @ ^ [SX1: b] : ~ ( ( SV620 @ SX0 @ SX1 ) | ( SV621 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(4626,plain,
! [SV621: b > b > $o,SV99: b,SV620: b > b > $o] :
( ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV620 @ SV99 @ SX0 )
| ( SV621 @ SV99 @ SX0 ) ) ) )
= $true )
| ( ( ( SV620 @ SV99
@ ( sK55_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV620 @ SX0 @ SX1 )
| ( SV621 @ SX0 @ SX1 ) ) ) )
| ( SV621 @ SV99
@ ( sK55_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV620 @ SX0 @ SX1 )
| ( SV621 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( SV99
!= ( sK55_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV620 @ SX0 @ SX1 )
| ( SV621 @ SX0 @ SX1 ) ) ) )
| ( bot_bot_set_b
!= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV620
@ ( sK55_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( ( SV620 @ SX1 @ SX2 )
| ( SV621 @ SX1 @ SX2 ) ) )
@ SX0 )
| ( SV621
@ ( sK55_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( ( SV620 @ SX1 @ SX2 )
| ( SV621 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2594:[bind(SV44,$thf( ^ [SX0: b] : ( bot_bot_set_b = ( collect_b @ ^ [SX1: b] : ~ ( ( SV620 @ SX0 @ SX1 ) | ( SV621 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(4627,plain,
! [SV99: b,SV615: b > b > $o] :
( ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( SV615 @ SV99 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV615 @ SV99
@ ( sK55_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV615 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ( ( SV99
!= ( sK55_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV615 @ SX0 @ SX1 ) ) )
| ( bot_bot_set_b
!= ( collect_b
@ ^ [SX0: b] :
~ ( SV615
@ ( sK55_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( SV615 @ SX1 @ SX2 ) )
@ SX0 ) ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2594:[bind(SV44,$thf( ^ [SX0: b] : ( bot_bot_set_b = ( collect_b @ ^ [SX1: b] : ~ ( SV615 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(4628,plain,
! [SV99: b,SV615: b > b > $o] :
( ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( SV615 @ SV99 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV615 @ SV99
@ ( sK55_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV615 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( ( SV99
!= ( sK55_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV615 @ SX0 @ SX1 ) ) )
| ( bot_bot_set_b
!= ( collect_b
@ ^ [SX0: b] :
~ ( SV615
@ ( sK55_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( SV615 @ SX1 @ SX2 ) )
@ SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2594:[bind(SV44,$thf( ^ [SX0: b] : ( bot_bot_set_b = ( collect_b @ ^ [SX1: b] : ~ ( SV615 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(4629,plain,
! [SV99: b,SV610: b > b > $o] :
( ( ( bot_bot_set_b
= ( collect_b @ ( SV610 @ SV99 ) ) )
= $true )
| ( ( ( collect_b @ ( SV610 @ SV99 ) )
= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV99 != SX0 )
| ( bot_bot_set_b
!= ( collect_b @ ( SV610 @ SX0 ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2594:[bind(SV44,$thf( ^ [SX0: b] : ( bot_bot_set_b = ( collect_b @ ( SV610 @ SX0 ) ) ) ))]]) ).
thf(4630,plain,
! [SV687: b > b > $o,SV99: b,SV686: b > b > $o] :
( ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV686 @ SV99 @ SX0 )
| ( SV687 @ SV99 @ SX0 ) ) )
= bot_bot_set_b )
= $true )
| ( ( ( SV686 @ SV99
@ ( sK56_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV686 @ SX0 @ SX1 )
| ( SV687 @ SX0 @ SX1 ) ) ) )
| ( SV687 @ SV99
@ ( sK56_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV686 @ SX0 @ SX1 )
| ( SV687 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( SV99
!= ( sK56_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV686 @ SX0 @ SX1 )
| ( SV687 @ SX0 @ SX1 ) ) ) )
| ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV686
@ ( sK56_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( ( SV686 @ SX1 @ SX2 )
| ( SV687 @ SX1 @ SX2 ) ) )
@ SX0 )
| ( SV687
@ ( sK56_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( ( SV686 @ SX1 @ SX2 )
| ( SV687 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
!= bot_bot_set_b ) )
= $true ) ),
inference(extuni,[status(esa)],[2594:[bind(SV44,$thf( ^ [SX0: b] : ( ( collect_b @ ^ [SX1: b] : ~ ( ( SV686 @ SX0 @ SX1 ) | ( SV687 @ SX0 @ SX1 ) ) ) = bot_bot_set_b ) ))]]) ).
thf(4631,plain,
! [SV687: b > b > $o,SV99: b,SV686: b > b > $o] :
( ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV686 @ SV99 @ SX0 )
| ( SV687 @ SV99 @ SX0 ) ) )
= bot_bot_set_b )
= $true )
| ( ( ( SV686 @ SV99
@ ( sK56_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV686 @ SX0 @ SX1 )
| ( SV687 @ SX0 @ SX1 ) ) ) )
| ( SV687 @ SV99
@ ( sK56_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV686 @ SX0 @ SX1 )
| ( SV687 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( SV99
!= ( sK56_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV686 @ SX0 @ SX1 )
| ( SV687 @ SX0 @ SX1 ) ) ) )
| ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV686
@ ( sK56_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( ( SV686 @ SX1 @ SX2 )
| ( SV687 @ SX1 @ SX2 ) ) )
@ SX0 )
| ( SV687
@ ( sK56_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( ( SV686 @ SX1 @ SX2 )
| ( SV687 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
!= bot_bot_set_b ) )
= $false ) ),
inference(extuni,[status(esa)],[2594:[bind(SV44,$thf( ^ [SX0: b] : ( ( collect_b @ ^ [SX1: b] : ~ ( ( SV686 @ SX0 @ SX1 ) | ( SV687 @ SX0 @ SX1 ) ) ) = bot_bot_set_b ) ))]]) ).
thf(4632,plain,
! [SV99: b,SV681: b > b > $o] :
( ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV681 @ SV99 @ SX0 ) )
= bot_bot_set_b )
= $true )
| ( ( ~ ( SV681 @ SV99
@ ( sK56_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV681 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ( ( SV99
!= ( sK56_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV681 @ SX0 @ SX1 ) ) )
| ( ( collect_b
@ ^ [SX0: b] :
~ ( SV681
@ ( sK56_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( SV681 @ SX1 @ SX2 ) )
@ SX0 ) )
!= bot_bot_set_b ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2594:[bind(SV44,$thf( ^ [SX0: b] : ( ( collect_b @ ^ [SX1: b] : ~ ( SV681 @ SX0 @ SX1 ) ) = bot_bot_set_b ) ))]]) ).
thf(4633,plain,
! [SV99: b,SV681: b > b > $o] :
( ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV681 @ SV99 @ SX0 ) )
= bot_bot_set_b )
= $true )
| ( ( ~ ( SV681 @ SV99
@ ( sK56_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV681 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( ( SV99
!= ( sK56_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV681 @ SX0 @ SX1 ) ) )
| ( ( collect_b
@ ^ [SX0: b] :
~ ( SV681
@ ( sK56_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( SV681 @ SX1 @ SX2 ) )
@ SX0 ) )
!= bot_bot_set_b ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2594:[bind(SV44,$thf( ^ [SX0: b] : ( ( collect_b @ ^ [SX1: b] : ~ ( SV681 @ SX0 @ SX1 ) ) = bot_bot_set_b ) ))]]) ).
thf(4634,plain,
! [SV99: b,SV676: b > b > $o] :
( ( ( ( collect_b @ ( SV676 @ SV99 ) )
= bot_bot_set_b )
= $true )
| ( ( ( collect_b @ ( SV676 @ SV99 ) )
= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV99 != SX0 )
| ( ( collect_b @ ( SV676 @ SX0 ) )
!= bot_bot_set_b ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2594:[bind(SV44,$thf( ^ [SX0: b] : ( ( collect_b @ ( SV676 @ SX0 ) ) = bot_bot_set_b ) ))]]) ).
thf(4635,plain,
! [SV607: b > set_b,SV99: b,SV606: b > set_b] :
( ( ( ( SV606 @ SV99 )
= ( SV607 @ SV99 ) )
= $true )
| ( ( ( SV606 @ SV99 )
= ( SV607 @ SV99 ) )
= $true )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV99 != SX0 )
| ( ( SV606 @ SX0 )
!= ( SV607 @ SX0 ) ) ) )
= bot_bot_set_b )
= $true ) ),
inference(extuni,[status(esa)],[2594:[bind(SV44,$thf( ^ [SX0: b] : ( ( SV606 @ SX0 ) = ( SV607 @ SX0 ) ) ))]]) ).
thf(4648,plain,
! [SV268: b,SV772: b > $o] :
( ( ( ~ ~ ~ ~ ~ ( SV772 @ SV268 ) )
= $false )
| ( ( ~ ( SV772 @ SV268 ) )
= $false )
| ( ( ~ ~ ( SV772
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV772 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2598:[bind(SV210,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( ~ ( ~ ( SV772 @ SX0 ) ) ) ) ) ))]]) ).
thf(4649,plain,
! [SV268: b,SV769: b > $o] :
( ( ( ~ ~ ~ ~ ( SV769 @ SV268 ) )
= $false )
| ( ( ~ ( SV769 @ SV268 ) )
= $true )
| ( ( ~ ~ ( SV769
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV769 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2598:[bind(SV210,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( ~ ( SV769 @ SX0 ) ) ) ) ))]]) ).
thf(4652,plain,
! [SV268: b,SV766: b > $o] :
( ( ( ~ ~ ~ ( SV766 @ SV268 ) )
= $false )
| ( ( ~ ( SV766 @ SV268 ) )
= $false )
| ( ( ~ ~ ( SV766
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV766 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2598:[bind(SV210,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( SV766 @ SX0 ) ) ) ))]]) ).
thf(4653,plain,
! [SV268: b,SV763: b > $o] :
( ( ( ~ ~ ( SV763 @ SV268 ) )
= $false )
| ( ( ~ ( SV763 @ SV268 ) )
= $true )
| ( ( ~ ~ ( SV763
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV763 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2598:[bind(SV210,$thf( ^ [SX0: b] : ~ ( ~ ( SV763 @ SX0 ) ) ))]]) ).
thf(4656,plain,
! [SV268: b,SV760: b > $o] :
( ( ( ~ ( SV760 @ SV268 ) )
= $false )
| ( ( ~ ( SV760 @ SV268 ) )
= $false )
| ( ( ~ ~ ( SV760
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV760 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2598:[bind(SV210,$thf( ^ [SX0: b] : ~ ( SV760 @ SX0 ) ))]]) ).
thf(4668,plain,
! [SV269: b,SV808: b > $o] :
( ( ( ~ ~ ~ ~ ~ ( SV808 @ SV269 ) )
= $false )
| ( ( ~ ( SV808 @ SV269 ) )
= $false )
| ( ( ~ ~ ( SV808
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV808 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2602:[bind(SV212,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( ~ ( ~ ( SV808 @ SX0 ) ) ) ) ) ))]]) ).
thf(4669,plain,
! [SV269: b,SV805: b > $o] :
( ( ( ~ ~ ~ ~ ( SV805 @ SV269 ) )
= $false )
| ( ( ~ ( SV805 @ SV269 ) )
= $true )
| ( ( ~ ~ ( SV805
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV805 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2602:[bind(SV212,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( ~ ( SV805 @ SX0 ) ) ) ) ))]]) ).
thf(4672,plain,
! [SV269: b,SV802: b > $o] :
( ( ( ~ ~ ~ ( SV802 @ SV269 ) )
= $false )
| ( ( ~ ( SV802 @ SV269 ) )
= $false )
| ( ( ~ ~ ( SV802
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV802 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2602:[bind(SV212,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( SV802 @ SX0 ) ) ) ))]]) ).
thf(4673,plain,
! [SV269: b,SV799: b > $o] :
( ( ( ~ ~ ( SV799 @ SV269 ) )
= $false )
| ( ( ~ ( SV799 @ SV269 ) )
= $true )
| ( ( ~ ~ ( SV799
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV799 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2602:[bind(SV212,$thf( ^ [SX0: b] : ~ ( ~ ( SV799 @ SX0 ) ) ))]]) ).
thf(4676,plain,
! [SV269: b,SV796: b > $o] :
( ( ( ~ ( SV796 @ SV269 ) )
= $false )
| ( ( ~ ( SV796 @ SV269 ) )
= $false )
| ( ( ~ ~ ( SV796
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV796 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2602:[bind(SV212,$thf( ^ [SX0: b] : ~ ( SV796 @ SX0 ) ))]]) ).
thf(4678,plain,
! [SV270: b,SV826: b > $o] :
( ( ( ~ ~ ~ ~ ~ ( SV826 @ SV270 ) )
= $false )
| ( ( ~ ( SV826 @ SV270 ) )
= $false )
| ( ( ~ ~ ( SV826
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV826 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2604:[bind(SV214,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( ~ ( ~ ( SV826 @ SX0 ) ) ) ) ) ))]]) ).
thf(4679,plain,
! [SV270: b,SV823: b > $o] :
( ( ( ~ ~ ~ ~ ( SV823 @ SV270 ) )
= $false )
| ( ( ~ ( SV823 @ SV270 ) )
= $true )
| ( ( ~ ~ ( SV823
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV823 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2604:[bind(SV214,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( ~ ( SV823 @ SX0 ) ) ) ) ))]]) ).
thf(4682,plain,
! [SV270: b,SV820: b > $o] :
( ( ( ~ ~ ~ ( SV820 @ SV270 ) )
= $false )
| ( ( ~ ( SV820 @ SV270 ) )
= $false )
| ( ( ~ ~ ( SV820
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV820 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2604:[bind(SV214,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( SV820 @ SX0 ) ) ) ))]]) ).
thf(4683,plain,
! [SV270: b,SV817: b > $o] :
( ( ( ~ ~ ( SV817 @ SV270 ) )
= $false )
| ( ( ~ ( SV817 @ SV270 ) )
= $true )
| ( ( ~ ~ ( SV817
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV817 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2604:[bind(SV214,$thf( ^ [SX0: b] : ~ ( ~ ( SV817 @ SX0 ) ) ))]]) ).
thf(4686,plain,
! [SV270: b,SV814: b > $o] :
( ( ( ~ ( SV814 @ SV270 ) )
= $false )
| ( ( ~ ( SV814 @ SV270 ) )
= $false )
| ( ( ~ ~ ( SV814
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV814 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2604:[bind(SV214,$thf( ^ [SX0: b] : ~ ( SV814 @ SX0 ) ))]]) ).
thf(4687,plain,
! [SV847: b > b > $o,SV124: b,SV846: b > b > $o] :
( ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV846 @ SV124 @ SX0 )
| ( SV847 @ SV124 @ SX0 ) ) ) )
= $true )
| ( ( ( SV846 @ SV124
@ ( sK57_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV846 @ SX0 @ SX1 )
| ( SV847 @ SX0 @ SX1 ) ) ) )
| ( SV847 @ SV124
@ ( sK57_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV846 @ SX0 @ SX1 )
| ( SV847 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( ( sK57_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV846 @ SX0 @ SX1 )
| ( SV847 @ SX0 @ SX1 ) ) )
!= SV124 )
| ( bot_bot_set_b
!= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV846
@ ( sK57_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( ( SV846 @ SX1 @ SX2 )
| ( SV847 @ SX1 @ SX2 ) ) )
@ SX0 )
| ( SV847
@ ( sK57_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( ( SV846 @ SX1 @ SX2 )
| ( SV847 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2606:[bind(SV73,$thf( ^ [SX0: b] : ( bot_bot_set_b = ( collect_b @ ^ [SX1: b] : ~ ( ( SV846 @ SX0 @ SX1 ) | ( SV847 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(4688,plain,
! [SV847: b > b > $o,SV124: b,SV846: b > b > $o] :
( ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV846 @ SV124 @ SX0 )
| ( SV847 @ SV124 @ SX0 ) ) ) )
= $true )
| ( ( ( SV846 @ SV124
@ ( sK57_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV846 @ SX0 @ SX1 )
| ( SV847 @ SX0 @ SX1 ) ) ) )
| ( SV847 @ SV124
@ ( sK57_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV846 @ SX0 @ SX1 )
| ( SV847 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( ( sK57_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV846 @ SX0 @ SX1 )
| ( SV847 @ SX0 @ SX1 ) ) )
!= SV124 )
| ( bot_bot_set_b
!= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV846
@ ( sK57_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( ( SV846 @ SX1 @ SX2 )
| ( SV847 @ SX1 @ SX2 ) ) )
@ SX0 )
| ( SV847
@ ( sK57_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( ( SV846 @ SX1 @ SX2 )
| ( SV847 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2606:[bind(SV73,$thf( ^ [SX0: b] : ( bot_bot_set_b = ( collect_b @ ^ [SX1: b] : ~ ( ( SV846 @ SX0 @ SX1 ) | ( SV847 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(4689,plain,
! [SV124: b,SV841: b > b > $o] :
( ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( SV841 @ SV124 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV841 @ SV124
@ ( sK57_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV841 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ( ( ( sK57_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV841 @ SX0 @ SX1 ) )
!= SV124 )
| ( bot_bot_set_b
!= ( collect_b
@ ^ [SX0: b] :
~ ( SV841
@ ( sK57_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( SV841 @ SX1 @ SX2 ) )
@ SX0 ) ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2606:[bind(SV73,$thf( ^ [SX0: b] : ( bot_bot_set_b = ( collect_b @ ^ [SX1: b] : ~ ( SV841 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(4690,plain,
! [SV124: b,SV841: b > b > $o] :
( ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( SV841 @ SV124 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV841 @ SV124
@ ( sK57_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV841 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( ( ( sK57_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV841 @ SX0 @ SX1 ) )
!= SV124 )
| ( bot_bot_set_b
!= ( collect_b
@ ^ [SX0: b] :
~ ( SV841
@ ( sK57_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( SV841 @ SX1 @ SX2 ) )
@ SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2606:[bind(SV73,$thf( ^ [SX0: b] : ( bot_bot_set_b = ( collect_b @ ^ [SX1: b] : ~ ( SV841 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(4691,plain,
! [SV124: b,SV836: b > b > $o] :
( ( ( bot_bot_set_b
= ( collect_b @ ( SV836 @ SV124 ) ) )
= $true )
| ( ( ( collect_b @ ( SV836 @ SV124 ) )
= ( collect_b
@ ^ [SX0: b] :
~ ( ( SX0 != SV124 )
| ( bot_bot_set_b
!= ( collect_b @ ( SV836 @ SX0 ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2606:[bind(SV73,$thf( ^ [SX0: b] : ( bot_bot_set_b = ( collect_b @ ( SV836 @ SX0 ) ) ) ))]]) ).
thf(4692,plain,
! [SV913: b > b > $o,SV124: b,SV912: b > b > $o] :
( ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV912 @ SV124 @ SX0 )
| ( SV913 @ SV124 @ SX0 ) ) )
= bot_bot_set_b )
= $true )
| ( ( ( SV912 @ SV124
@ ( sK58_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV912 @ SX0 @ SX1 )
| ( SV913 @ SX0 @ SX1 ) ) ) )
| ( SV913 @ SV124
@ ( sK58_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV912 @ SX0 @ SX1 )
| ( SV913 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( ( sK58_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV912 @ SX0 @ SX1 )
| ( SV913 @ SX0 @ SX1 ) ) )
!= SV124 )
| ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV912
@ ( sK58_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( ( SV912 @ SX1 @ SX2 )
| ( SV913 @ SX1 @ SX2 ) ) )
@ SX0 )
| ( SV913
@ ( sK58_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( ( SV912 @ SX1 @ SX2 )
| ( SV913 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
!= bot_bot_set_b ) )
= $true ) ),
inference(extuni,[status(esa)],[2606:[bind(SV73,$thf( ^ [SX0: b] : ( ( collect_b @ ^ [SX1: b] : ~ ( ( SV912 @ SX0 @ SX1 ) | ( SV913 @ SX0 @ SX1 ) ) ) = bot_bot_set_b ) ))]]) ).
thf(4693,plain,
! [SV913: b > b > $o,SV124: b,SV912: b > b > $o] :
( ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV912 @ SV124 @ SX0 )
| ( SV913 @ SV124 @ SX0 ) ) )
= bot_bot_set_b )
= $true )
| ( ( ( SV912 @ SV124
@ ( sK58_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV912 @ SX0 @ SX1 )
| ( SV913 @ SX0 @ SX1 ) ) ) )
| ( SV913 @ SV124
@ ( sK58_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV912 @ SX0 @ SX1 )
| ( SV913 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( ( sK58_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV912 @ SX0 @ SX1 )
| ( SV913 @ SX0 @ SX1 ) ) )
!= SV124 )
| ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV912
@ ( sK58_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( ( SV912 @ SX1 @ SX2 )
| ( SV913 @ SX1 @ SX2 ) ) )
@ SX0 )
| ( SV913
@ ( sK58_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( ( SV912 @ SX1 @ SX2 )
| ( SV913 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
!= bot_bot_set_b ) )
= $false ) ),
inference(extuni,[status(esa)],[2606:[bind(SV73,$thf( ^ [SX0: b] : ( ( collect_b @ ^ [SX1: b] : ~ ( ( SV912 @ SX0 @ SX1 ) | ( SV913 @ SX0 @ SX1 ) ) ) = bot_bot_set_b ) ))]]) ).
thf(4694,plain,
! [SV124: b,SV907: b > b > $o] :
( ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV907 @ SV124 @ SX0 ) )
= bot_bot_set_b )
= $true )
| ( ( ~ ( SV907 @ SV124
@ ( sK58_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV907 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ( ( ( sK58_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV907 @ SX0 @ SX1 ) )
!= SV124 )
| ( ( collect_b
@ ^ [SX0: b] :
~ ( SV907
@ ( sK58_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( SV907 @ SX1 @ SX2 ) )
@ SX0 ) )
!= bot_bot_set_b ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2606:[bind(SV73,$thf( ^ [SX0: b] : ( ( collect_b @ ^ [SX1: b] : ~ ( SV907 @ SX0 @ SX1 ) ) = bot_bot_set_b ) ))]]) ).
thf(4695,plain,
! [SV124: b,SV907: b > b > $o] :
( ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV907 @ SV124 @ SX0 ) )
= bot_bot_set_b )
= $true )
| ( ( ~ ( SV907 @ SV124
@ ( sK58_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV907 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( ( ( sK58_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV907 @ SX0 @ SX1 ) )
!= SV124 )
| ( ( collect_b
@ ^ [SX0: b] :
~ ( SV907
@ ( sK58_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( SV907 @ SX1 @ SX2 ) )
@ SX0 ) )
!= bot_bot_set_b ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2606:[bind(SV73,$thf( ^ [SX0: b] : ( ( collect_b @ ^ [SX1: b] : ~ ( SV907 @ SX0 @ SX1 ) ) = bot_bot_set_b ) ))]]) ).
thf(4696,plain,
! [SV124: b,SV902: b > b > $o] :
( ( ( ( collect_b @ ( SV902 @ SV124 ) )
= bot_bot_set_b )
= $true )
| ( ( ( collect_b @ ( SV902 @ SV124 ) )
= ( collect_b
@ ^ [SX0: b] :
~ ( ( SX0 != SV124 )
| ( ( collect_b @ ( SV902 @ SX0 ) )
!= bot_bot_set_b ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2606:[bind(SV73,$thf( ^ [SX0: b] : ( ( collect_b @ ( SV902 @ SX0 ) ) = bot_bot_set_b ) ))]]) ).
thf(4697,plain,
! [SV833: b > set_b,SV124: b,SV832: b > set_b] :
( ( ( ( SV832 @ SV124 )
= ( SV833 @ SV124 ) )
= $true )
| ( ( ( SV832 @ SV124 )
= ( SV833 @ SV124 ) )
= $true )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SX0 != SV124 )
| ( ( SV832 @ SX0 )
!= ( SV833 @ SX0 ) ) ) )
= bot_bot_set_b )
= $true ) ),
inference(extuni,[status(esa)],[2606:[bind(SV73,$thf( ^ [SX0: b] : ( ( SV832 @ SX0 ) = ( SV833 @ SX0 ) ) ))]]) ).
thf(4700,plain,
! [SV972: b > set_b,SV19: b,SV971: b > b] :
( ( ( ~ ( member_b @ ( SV971 @ SV19 ) @ ( SV972 @ SV19 ) ) )
= $true )
| ( ( member_b @ ( SV971 @ SV19 ) @ ( SV972 @ SV19 ) )
= $false )
| ( ( member_b @ SV19
@ ( collect_b
@ ^ [SX0: b] :
~ ( member_b @ ( SV971 @ SX0 ) @ ( SV972 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2608:[bind(SV89,$thf( ^ [SX0: b] : ~ ( member_b @ ( SV971 @ SX0 ) @ ( SV972 @ SX0 ) ) ))]]) ).
thf(4701,plain,
! [SV19: b,SV968: b > $o] :
( ( ( ~ ( SV968 @ SV19 ) )
= $true )
| ( ( ~ ( SV968 @ SV19 ) )
= $true )
| ( ( ~ ( member_b @ SV19
@ ( collect_b
@ ^ [SX0: b] :
~ ( SV968 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2608:[bind(SV89,$thf( ^ [SX0: b] : ~ ( SV968 @ SX0 ) ))]]) ).
thf(4703,plain,
! [SV979: b > set_b,SV19: b,SV978: b > b] :
( ( ( ~ ( member_b @ ( SV978 @ SV19 ) @ ( SV979 @ SV19 ) ) )
= $false )
| ( ( member_b @ ( SV978 @ SV19 ) @ ( SV979 @ SV19 ) )
= $true )
| ( ( member_b @ SV19
@ ( collect_b
@ ^ [SX0: b] :
~ ( member_b @ ( SV978 @ SX0 ) @ ( SV979 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2610:[bind(SV89,$thf( ^ [SX0: b] : ~ ( member_b @ ( SV978 @ SX0 ) @ ( SV979 @ SX0 ) ) ))]]) ).
thf(4706,plain,
! [SV19: b,SV975: b > $o] :
( ( ( ~ ( SV975 @ SV19 ) )
= $false )
| ( ( ~ ( SV975 @ SV19 ) )
= $false )
| ( ( ~ ( member_b @ SV19
@ ( collect_b
@ ^ [SX0: b] :
~ ( SV975 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2610:[bind(SV89,$thf( ^ [SX0: b] : ~ ( SV975 @ SX0 ) ))]]) ).
thf(4708,plain,
! [SV273: b,SV994: b > $o] :
( ( ( ~ ~ ~ ~ ~ ( SV994 @ SV273 ) )
= $false )
| ( ( ~ ( SV994 @ SV273 ) )
= $false )
| ( ( ~ ~ ( SV994
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV994 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2616:[bind(SV220,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( ~ ( ~ ( SV994 @ SX0 ) ) ) ) ) ))]]) ).
thf(4709,plain,
! [SV273: b,SV991: b > $o] :
( ( ( ~ ~ ~ ~ ( SV991 @ SV273 ) )
= $false )
| ( ( ~ ( SV991 @ SV273 ) )
= $true )
| ( ( ~ ~ ( SV991
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV991 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2616:[bind(SV220,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( ~ ( SV991 @ SX0 ) ) ) ) ))]]) ).
thf(4712,plain,
! [SV273: b,SV988: b > $o] :
( ( ( ~ ~ ~ ( SV988 @ SV273 ) )
= $false )
| ( ( ~ ( SV988 @ SV273 ) )
= $false )
| ( ( ~ ~ ( SV988
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV988 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2616:[bind(SV220,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( SV988 @ SX0 ) ) ) ))]]) ).
thf(4713,plain,
! [SV273: b,SV985: b > $o] :
( ( ( ~ ~ ( SV985 @ SV273 ) )
= $false )
| ( ( ~ ( SV985 @ SV273 ) )
= $true )
| ( ( ~ ~ ( SV985
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV985 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2616:[bind(SV220,$thf( ^ [SX0: b] : ~ ( ~ ( SV985 @ SX0 ) ) ))]]) ).
thf(4716,plain,
! [SV273: b,SV982: b > $o] :
( ( ( ~ ( SV982 @ SV273 ) )
= $false )
| ( ( ~ ( SV982 @ SV273 ) )
= $false )
| ( ( ~ ~ ( SV982
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV982 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2616:[bind(SV220,$thf( ^ [SX0: b] : ~ ( SV982 @ SX0 ) ))]]) ).
thf(4718,plain,
! [SV274: b,SV1012: b > $o] :
( ( ( ~ ~ ~ ~ ~ ( SV1012 @ SV274 ) )
= $false )
| ( ( ~ ( SV1012 @ SV274 ) )
= $false )
| ( ( ~ ~ ( SV1012
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1012 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2618:[bind(SV222,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( ~ ( ~ ( SV1012 @ SX0 ) ) ) ) ) ))]]) ).
thf(4719,plain,
! [SV274: b,SV1009: b > $o] :
( ( ( ~ ~ ~ ~ ( SV1009 @ SV274 ) )
= $false )
| ( ( ~ ( SV1009 @ SV274 ) )
= $true )
| ( ( ~ ~ ( SV1009
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1009 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2618:[bind(SV222,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( ~ ( SV1009 @ SX0 ) ) ) ) ))]]) ).
thf(4722,plain,
! [SV274: b,SV1006: b > $o] :
( ( ( ~ ~ ~ ( SV1006 @ SV274 ) )
= $false )
| ( ( ~ ( SV1006 @ SV274 ) )
= $false )
| ( ( ~ ~ ( SV1006
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1006 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2618:[bind(SV222,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( SV1006 @ SX0 ) ) ) ))]]) ).
thf(4723,plain,
! [SV274: b,SV1003: b > $o] :
( ( ( ~ ~ ( SV1003 @ SV274 ) )
= $false )
| ( ( ~ ( SV1003 @ SV274 ) )
= $true )
| ( ( ~ ~ ( SV1003
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1003 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2618:[bind(SV222,$thf( ^ [SX0: b] : ~ ( ~ ( SV1003 @ SX0 ) ) ))]]) ).
thf(4726,plain,
! [SV274: b,SV1000: b > $o] :
( ( ( ~ ( SV1000 @ SV274 ) )
= $false )
| ( ( ~ ( SV1000 @ SV274 ) )
= $false )
| ( ( ~ ~ ( SV1000
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1000 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2618:[bind(SV222,$thf( ^ [SX0: b] : ~ ( SV1000 @ SX0 ) ))]]) ).
thf(4727,plain,
( ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] : ( member_b @ SX0 @ bot_bot_set_b ) )
@ bot_bot_set_b )
= $false )
| ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] : ( member_b @ SX0 @ bot_bot_set_b ) )
@ bot_bot_set_b )
= $false ) ),
inference(extuni,[status(esa)],[3349:[bind(SV70,$thf( bot_bot_set_b ))]]) ).
thf(4730,plain,
! [SV277: b,SV1030: b > $o] :
( ( ( ~ ~ ~ ~ ~ ( SV1030 @ SV277 ) )
= $false )
| ( ( ~ ( SV1030 @ SV277 ) )
= $false )
| ( ( ~ ~ ( SV1030
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1030 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2624:[bind(SV228,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( ~ ( ~ ( SV1030 @ SX0 ) ) ) ) ) ))]]) ).
thf(4731,plain,
! [SV277: b,SV1027: b > $o] :
( ( ( ~ ~ ~ ~ ( SV1027 @ SV277 ) )
= $false )
| ( ( ~ ( SV1027 @ SV277 ) )
= $true )
| ( ( ~ ~ ( SV1027
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1027 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2624:[bind(SV228,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( ~ ( SV1027 @ SX0 ) ) ) ) ))]]) ).
thf(4734,plain,
! [SV277: b,SV1024: b > $o] :
( ( ( ~ ~ ~ ( SV1024 @ SV277 ) )
= $false )
| ( ( ~ ( SV1024 @ SV277 ) )
= $false )
| ( ( ~ ~ ( SV1024
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1024 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2624:[bind(SV228,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( SV1024 @ SX0 ) ) ) ))]]) ).
thf(4735,plain,
! [SV277: b,SV1021: b > $o] :
( ( ( ~ ~ ( SV1021 @ SV277 ) )
= $false )
| ( ( ~ ( SV1021 @ SV277 ) )
= $true )
| ( ( ~ ~ ( SV1021
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1021 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2624:[bind(SV228,$thf( ^ [SX0: b] : ~ ( ~ ( SV1021 @ SX0 ) ) ))]]) ).
thf(4738,plain,
! [SV277: b,SV1018: b > $o] :
( ( ( ~ ( SV1018 @ SV277 ) )
= $false )
| ( ( ~ ( SV1018 @ SV277 ) )
= $false )
| ( ( ~ ~ ( SV1018
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1018 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2624:[bind(SV228,$thf( ^ [SX0: b] : ~ ( SV1018 @ SX0 ) ))]]) ).
thf(4740,plain,
! [SV278: b,SV1048: b > $o] :
( ( ( ~ ~ ~ ~ ~ ( SV1048 @ SV278 ) )
= $false )
| ( ( ~ ( SV1048 @ SV278 ) )
= $false )
| ( ( ~ ~ ( SV1048
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1048 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2626:[bind(SV230,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( ~ ( ~ ( SV1048 @ SX0 ) ) ) ) ) ))]]) ).
thf(4741,plain,
! [SV278: b,SV1045: b > $o] :
( ( ( ~ ~ ~ ~ ( SV1045 @ SV278 ) )
= $false )
| ( ( ~ ( SV1045 @ SV278 ) )
= $true )
| ( ( ~ ~ ( SV1045
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1045 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2626:[bind(SV230,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( ~ ( SV1045 @ SX0 ) ) ) ) ))]]) ).
thf(4744,plain,
! [SV278: b,SV1042: b > $o] :
( ( ( ~ ~ ~ ( SV1042 @ SV278 ) )
= $false )
| ( ( ~ ( SV1042 @ SV278 ) )
= $false )
| ( ( ~ ~ ( SV1042
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1042 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2626:[bind(SV230,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( SV1042 @ SX0 ) ) ) ))]]) ).
thf(4745,plain,
! [SV278: b,SV1039: b > $o] :
( ( ( ~ ~ ( SV1039 @ SV278 ) )
= $false )
| ( ( ~ ( SV1039 @ SV278 ) )
= $true )
| ( ( ~ ~ ( SV1039
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1039 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2626:[bind(SV230,$thf( ^ [SX0: b] : ~ ( ~ ( SV1039 @ SX0 ) ) ))]]) ).
thf(4748,plain,
! [SV278: b,SV1036: b > $o] :
( ( ( ~ ( SV1036 @ SV278 ) )
= $false )
| ( ( ~ ( SV1036 @ SV278 ) )
= $false )
| ( ( ~ ~ ( SV1036
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1036 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2626:[bind(SV230,$thf( ^ [SX0: b] : ~ ( SV1036 @ SX0 ) ))]]) ).
thf(4749,plain,
! [SV1066: b > b > set_b,SV173: b,SV1065: b > b > set_b] :
( ( ( ( collect_b
@ ^ [SX0: b] :
( ( SV1065 @ SV173 @ SX0 )
= ( SV1066 @ SV173 @ SX0 ) ) )
= bot_bot_set_b )
= $false )
| ( ( ( SV1065 @ SV173
@ ( sK59_E @ SV173
@ ^ [SX0: b,SX1: b] :
( ( SV1065 @ SX0 @ SX1 )
= ( SV1066 @ SX0 @ SX1 ) ) ) )
= ( SV1066 @ SV173
@ ( sK59_E @ SV173
@ ^ [SX0: b,SX1: b] :
( ( SV1065 @ SX0 @ SX1 )
= ( SV1066 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( collect_b
@ ^ [SX0: b] :
( ( SV1065
@ ( sK59_E @ SV173
@ ^ [SX1: b,SX2: b] :
( ( SV1065 @ SX1 @ SX2 )
= ( SV1066 @ SX1 @ SX2 ) ) )
@ SX0 )
= ( SV1066
@ ( sK59_E @ SV173
@ ^ [SX1: b,SX2: b] :
( ( SV1065 @ SX1 @ SX2 )
= ( SV1066 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= bot_bot_set_b )
= $true ) ),
inference(extuni,[status(esa)],[2628:[bind(SV9,$thf( ^ [SX0: b] : ( ( collect_b @ ^ [SX1: b] : ( ( SV1065 @ SX0 @ SX1 ) = ( SV1066 @ SX0 @ SX1 ) ) ) = bot_bot_set_b ) ))]]) ).
thf(4750,plain,
! [SV1066: b > b > set_b,SV173: b,SV1065: b > b > set_b] :
( ( ( ( collect_b
@ ^ [SX0: b] :
( ( SV1065 @ SV173 @ SX0 )
= ( SV1066 @ SV173 @ SX0 ) ) )
= bot_bot_set_b )
= $false )
| ( ( ( SV1065 @ SV173
@ ( sK59_E @ SV173
@ ^ [SX0: b,SX1: b] :
( ( SV1065 @ SX0 @ SX1 )
= ( SV1066 @ SX0 @ SX1 ) ) ) )
= ( SV1066 @ SV173
@ ( sK59_E @ SV173
@ ^ [SX0: b,SX1: b] :
( ( SV1065 @ SX0 @ SX1 )
= ( SV1066 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( collect_b
@ ^ [SX0: b] :
( ( SV1065
@ ( sK59_E @ SV173
@ ^ [SX1: b,SX2: b] :
( ( SV1065 @ SX1 @ SX2 )
= ( SV1066 @ SX1 @ SX2 ) ) )
@ SX0 )
= ( SV1066
@ ( sK59_E @ SV173
@ ^ [SX1: b,SX2: b] :
( ( SV1065 @ SX1 @ SX2 )
= ( SV1066 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= bot_bot_set_b )
= $false ) ),
inference(extuni,[status(esa)],[2628:[bind(SV9,$thf( ^ [SX0: b] : ( ( collect_b @ ^ [SX1: b] : ( ( SV1065 @ SX0 @ SX1 ) = ( SV1066 @ SX0 @ SX1 ) ) ) = bot_bot_set_b ) ))]]) ).
thf(4751,plain,
! [SV173: b,SV1060: b > b > $o] :
( ( ( ( collect_b @ ( SV1060 @ SV173 ) )
= bot_bot_set_b )
= $false )
| ( ( ( collect_b @ ( SV1060 @ SV173 ) )
= ( collect_b
@ ^ [SX0: b] :
( ( collect_b @ ( SV1060 @ SX0 ) )
= bot_bot_set_b ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2628:[bind(SV9,$thf( ^ [SX0: b] : ( ( collect_b @ ( SV1060 @ SX0 ) ) = bot_bot_set_b ) ))]]) ).
thf(4752,plain,
! [SV1111: b > b > set_b,SV173: b,SV1110: b > b > set_b] :
( ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
( ( SV1110 @ SV173 @ SX0 )
= ( SV1111 @ SV173 @ SX0 ) ) ) )
= $false )
| ( ( ( SV1110 @ SV173
@ ( sK62_E @ SV173
@ ^ [SX0: b,SX1: b] :
( ( SV1110 @ SX0 @ SX1 )
= ( SV1111 @ SX0 @ SX1 ) ) ) )
= ( SV1111 @ SV173
@ ( sK62_E @ SV173
@ ^ [SX0: b,SX1: b] :
( ( SV1110 @ SX0 @ SX1 )
= ( SV1111 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
( ( SV1110
@ ( sK62_E @ SV173
@ ^ [SX1: b,SX2: b] :
( ( SV1110 @ SX1 @ SX2 )
= ( SV1111 @ SX1 @ SX2 ) ) )
@ SX0 )
= ( SV1111
@ ( sK62_E @ SV173
@ ^ [SX1: b,SX2: b] :
( ( SV1110 @ SX1 @ SX2 )
= ( SV1111 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2628:[bind(SV9,$thf( ^ [SX0: b] : ( bot_bot_set_b = ( collect_b @ ^ [SX1: b] : ( ( SV1110 @ SX0 @ SX1 ) = ( SV1111 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(4753,plain,
! [SV1111: b > b > set_b,SV173: b,SV1110: b > b > set_b] :
( ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
( ( SV1110 @ SV173 @ SX0 )
= ( SV1111 @ SV173 @ SX0 ) ) ) )
= $false )
| ( ( ( SV1110 @ SV173
@ ( sK62_E @ SV173
@ ^ [SX0: b,SX1: b] :
( ( SV1110 @ SX0 @ SX1 )
= ( SV1111 @ SX0 @ SX1 ) ) ) )
= ( SV1111 @ SV173
@ ( sK62_E @ SV173
@ ^ [SX0: b,SX1: b] :
( ( SV1110 @ SX0 @ SX1 )
= ( SV1111 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
( ( SV1110
@ ( sK62_E @ SV173
@ ^ [SX1: b,SX2: b] :
( ( SV1110 @ SX1 @ SX2 )
= ( SV1111 @ SX1 @ SX2 ) ) )
@ SX0 )
= ( SV1111
@ ( sK62_E @ SV173
@ ^ [SX1: b,SX2: b] :
( ( SV1110 @ SX1 @ SX2 )
= ( SV1111 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2628:[bind(SV9,$thf( ^ [SX0: b] : ( bot_bot_set_b = ( collect_b @ ^ [SX1: b] : ( ( SV1110 @ SX0 @ SX1 ) = ( SV1111 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(4754,plain,
! [SV173: b,SV1105: b > b > $o] :
( ( ( bot_bot_set_b
= ( collect_b @ ( SV1105 @ SV173 ) ) )
= $false )
| ( ( ( collect_b @ ( SV1105 @ SV173 ) )
= ( collect_b
@ ^ [SX0: b] :
( bot_bot_set_b
= ( collect_b @ ( SV1105 @ SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2628:[bind(SV9,$thf( ^ [SX0: b] : ( bot_bot_set_b = ( collect_b @ ( SV1105 @ SX0 ) ) ) ))]]) ).
thf(4756,plain,
! [SV1055: b > set_b,SV173: b,SV1054: b > set_b] :
( ( ( ( SV1054 @ SV173 )
= ( SV1055 @ SV173 ) )
= $false )
| ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
( ( SV1054 @ SX0 )
= ( SV1055 @ SX0 ) ) ) )
= $false )
| ( ( ( SV1054 @ SV173 )
= ( SV1055 @ SV173 ) )
= $false ) ),
inference(extuni,[status(esa)],[2628:[bind(SV9,$thf( ^ [SX0: b] : ( ( SV1054 @ SX0 ) = ( SV1055 @ SX0 ) ) ))]]) ).
thf(4757,plain,
! [SV1142: b > b > set_b,SV174: b,SV1141: b > b > set_b] :
( ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
( ( SV1141 @ SV174 @ SX0 )
= ( SV1142 @ SV174 @ SX0 ) ) ) )
= $false )
| ( ( ( SV1141 @ SV174
@ ( sK63_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV174
@ ^ [SX0: b,SX1: b] :
( ( SV1141 @ SX0 @ SX1 )
= ( SV1142 @ SX0 @ SX1 ) ) ) )
= ( SV1142 @ SV174
@ ( sK63_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV174
@ ^ [SX0: b,SX1: b] :
( ( SV1141 @ SX0 @ SX1 )
= ( SV1142 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
( ( SV1141
@ ( sK63_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV174
@ ^ [SX1: b,SX2: b] :
( ( SV1141 @ SX1 @ SX2 )
= ( SV1142 @ SX1 @ SX2 ) ) )
@ SX0 )
= ( SV1142
@ ( sK63_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV174
@ ^ [SX1: b,SX2: b] :
( ( SV1141 @ SX1 @ SX2 )
= ( SV1142 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2632:[bind(SV10,$thf( ^ [SX0: b] : ( bot_bot_set_b = ( collect_b @ ^ [SX1: b] : ( ( SV1141 @ SX0 @ SX1 ) = ( SV1142 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(4758,plain,
! [SV1142: b > b > set_b,SV174: b,SV1141: b > b > set_b] :
( ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
( ( SV1141 @ SV174 @ SX0 )
= ( SV1142 @ SV174 @ SX0 ) ) ) )
= $false )
| ( ( ( SV1141 @ SV174
@ ( sK63_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV174
@ ^ [SX0: b,SX1: b] :
( ( SV1141 @ SX0 @ SX1 )
= ( SV1142 @ SX0 @ SX1 ) ) ) )
= ( SV1142 @ SV174
@ ( sK63_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV174
@ ^ [SX0: b,SX1: b] :
( ( SV1141 @ SX0 @ SX1 )
= ( SV1142 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
( ( SV1141
@ ( sK63_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV174
@ ^ [SX1: b,SX2: b] :
( ( SV1141 @ SX1 @ SX2 )
= ( SV1142 @ SX1 @ SX2 ) ) )
@ SX0 )
= ( SV1142
@ ( sK63_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV174
@ ^ [SX1: b,SX2: b] :
( ( SV1141 @ SX1 @ SX2 )
= ( SV1142 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2632:[bind(SV10,$thf( ^ [SX0: b] : ( bot_bot_set_b = ( collect_b @ ^ [SX1: b] : ( ( SV1141 @ SX0 @ SX1 ) = ( SV1142 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(4759,plain,
! [SV174: b,SV1136: b > b > $o] :
( ( ( bot_bot_set_b
= ( collect_b @ ( SV1136 @ SV174 ) ) )
= $false )
| ( ( ( collect_b @ ( SV1136 @ SV174 ) )
= ( collect_b
@ ^ [SX0: b] :
( bot_bot_set_b
= ( collect_b @ ( SV1136 @ SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2632:[bind(SV10,$thf( ^ [SX0: b] : ( bot_bot_set_b = ( collect_b @ ( SV1136 @ SX0 ) ) ) ))]]) ).
thf(4760,plain,
! [SV1231: b > b > set_b,SV174: b,SV1230: b > b > set_b] :
( ( ( ( collect_b
@ ^ [SX0: b] :
( ( SV1230 @ SV174 @ SX0 )
= ( SV1231 @ SV174 @ SX0 ) ) )
= bot_bot_set_b )
= $false )
| ( ( ( SV1230 @ SV174
@ ( sK66_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV174
@ ^ [SX0: b,SX1: b] :
( ( SV1230 @ SX0 @ SX1 )
= ( SV1231 @ SX0 @ SX1 ) ) ) )
= ( SV1231 @ SV174
@ ( sK66_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV174
@ ^ [SX0: b,SX1: b] :
( ( SV1230 @ SX0 @ SX1 )
= ( SV1231 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( collect_b
@ ^ [SX0: b] :
( ( SV1230
@ ( sK66_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV174
@ ^ [SX1: b,SX2: b] :
( ( SV1230 @ SX1 @ SX2 )
= ( SV1231 @ SX1 @ SX2 ) ) )
@ SX0 )
= ( SV1231
@ ( sK66_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV174
@ ^ [SX1: b,SX2: b] :
( ( SV1230 @ SX1 @ SX2 )
= ( SV1231 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= bot_bot_set_b )
= $true ) ),
inference(extuni,[status(esa)],[2632:[bind(SV10,$thf( ^ [SX0: b] : ( ( collect_b @ ^ [SX1: b] : ( ( SV1230 @ SX0 @ SX1 ) = ( SV1231 @ SX0 @ SX1 ) ) ) = bot_bot_set_b ) ))]]) ).
thf(4761,plain,
! [SV1231: b > b > set_b,SV174: b,SV1230: b > b > set_b] :
( ( ( ( collect_b
@ ^ [SX0: b] :
( ( SV1230 @ SV174 @ SX0 )
= ( SV1231 @ SV174 @ SX0 ) ) )
= bot_bot_set_b )
= $false )
| ( ( ( SV1230 @ SV174
@ ( sK66_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV174
@ ^ [SX0: b,SX1: b] :
( ( SV1230 @ SX0 @ SX1 )
= ( SV1231 @ SX0 @ SX1 ) ) ) )
= ( SV1231 @ SV174
@ ( sK66_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV174
@ ^ [SX0: b,SX1: b] :
( ( SV1230 @ SX0 @ SX1 )
= ( SV1231 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( collect_b
@ ^ [SX0: b] :
( ( SV1230
@ ( sK66_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV174
@ ^ [SX1: b,SX2: b] :
( ( SV1230 @ SX1 @ SX2 )
= ( SV1231 @ SX1 @ SX2 ) ) )
@ SX0 )
= ( SV1231
@ ( sK66_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV174
@ ^ [SX1: b,SX2: b] :
( ( SV1230 @ SX1 @ SX2 )
= ( SV1231 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= bot_bot_set_b )
= $false ) ),
inference(extuni,[status(esa)],[2632:[bind(SV10,$thf( ^ [SX0: b] : ( ( collect_b @ ^ [SX1: b] : ( ( SV1230 @ SX0 @ SX1 ) = ( SV1231 @ SX0 @ SX1 ) ) ) = bot_bot_set_b ) ))]]) ).
thf(4762,plain,
! [SV174: b,SV1225: b > b > $o] :
( ( ( ( collect_b @ ( SV1225 @ SV174 ) )
= bot_bot_set_b )
= $false )
| ( ( ( collect_b @ ( SV1225 @ SV174 ) )
= ( collect_b
@ ^ [SX0: b] :
( ( collect_b @ ( SV1225 @ SX0 ) )
= bot_bot_set_b ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2632:[bind(SV10,$thf( ^ [SX0: b] : ( ( collect_b @ ( SV1225 @ SX0 ) ) = bot_bot_set_b ) ))]]) ).
thf(4764,plain,
! [SV1133: b > set_b,SV174: b,SV1132: b > set_b] :
( ( ( ( SV1132 @ SV174 )
= ( SV1133 @ SV174 ) )
= $false )
| ( ( ( collect_b
@ ^ [SX0: b] :
( ( SV1132 @ SX0 )
= ( SV1133 @ SX0 ) ) )
= bot_bot_set_b )
= $false )
| ( ( ( SV1132 @ SV174 )
= ( SV1133 @ SV174 ) )
= $false ) ),
inference(extuni,[status(esa)],[2632:[bind(SV10,$thf( ^ [SX0: b] : ( ( SV1132 @ SX0 ) = ( SV1133 @ SX0 ) ) ))]]) ).
thf(4767,plain,
! [SV175: b] :
( ( member_b @ SV175 @ bot_bot_set_b )
= $false ),
inference(extuni,[status(esa)],[3358:[bind(SV11,$thf( bot_bot_set_b ))]]) ).
thf(4769,plain,
! [SV279: b,SV1326: b > $o] :
( ( ( ~ ~ ~ ~ ~ ( SV1326 @ SV279 ) )
= $false )
| ( ( ~ ( SV1326 @ SV279 ) )
= $false )
| ( ( ~ ~ ( SV1326
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1326 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2640:[bind(SV232,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( ~ ( ~ ( SV1326 @ SX0 ) ) ) ) ) ))]]) ).
thf(4770,plain,
! [SV279: b,SV1323: b > $o] :
( ( ( ~ ~ ~ ~ ( SV1323 @ SV279 ) )
= $false )
| ( ( ~ ( SV1323 @ SV279 ) )
= $true )
| ( ( ~ ~ ( SV1323
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1323 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2640:[bind(SV232,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( ~ ( SV1323 @ SX0 ) ) ) ) ))]]) ).
thf(4773,plain,
! [SV279: b,SV1320: b > $o] :
( ( ( ~ ~ ~ ( SV1320 @ SV279 ) )
= $false )
| ( ( ~ ( SV1320 @ SV279 ) )
= $false )
| ( ( ~ ~ ( SV1320
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1320 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2640:[bind(SV232,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( SV1320 @ SX0 ) ) ) ))]]) ).
thf(4774,plain,
! [SV279: b,SV1317: b > $o] :
( ( ( ~ ~ ( SV1317 @ SV279 ) )
= $false )
| ( ( ~ ( SV1317 @ SV279 ) )
= $true )
| ( ( ~ ~ ( SV1317
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1317 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2640:[bind(SV232,$thf( ^ [SX0: b] : ~ ( ~ ( SV1317 @ SX0 ) ) ))]]) ).
thf(4777,plain,
! [SV279: b,SV1314: b > $o] :
( ( ( ~ ( SV1314 @ SV279 ) )
= $false )
| ( ( ~ ( SV1314 @ SV279 ) )
= $false )
| ( ( ~ ~ ( SV1314
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1314 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2640:[bind(SV232,$thf( ^ [SX0: b] : ~ ( SV1314 @ SX0 ) ))]]) ).
thf(4778,plain,
! [SV1344: b > $o] :
( ( ( ~ ~ ~ ~ ~ ( SV1344
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1344 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV1344
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1344 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ( SV1344
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1344 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2644:[bind(SV58,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( ~ ( ~ ( SV1344 @ SX0 ) ) ) ) ) ))]]) ).
thf(4781,plain,
! [SV1341: b > $o] :
( ( ( ~ ~ ~ ~ ( SV1341
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1341 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV1341
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1341 @ SX0 ) ) ) )
= $false )
| ( ( ~ ~ ( SV1341
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1341 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2644:[bind(SV58,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( ~ ( SV1341 @ SX0 ) ) ) ) ))]]) ).
thf(4782,plain,
! [SV1338: b > $o] :
( ( ( ~ ~ ~ ( SV1338
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ~ ( SV1338 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV1338
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ~ ( SV1338 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ( SV1338
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1338 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2644:[bind(SV58,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( SV1338 @ SX0 ) ) ) ))]]) ).
thf(4785,plain,
! [SV1335: b > $o] :
( ( ( ~ ~ ( SV1335
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ( SV1335 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV1335
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ( SV1335 @ SX0 ) ) ) )
= $false )
| ( ( ~ ~ ( SV1335
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1335 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2644:[bind(SV58,$thf( ^ [SX0: b] : ~ ( ~ ( SV1335 @ SX0 ) ) ))]]) ).
thf(4786,plain,
! [SV1332: b > $o] :
( ( ( ~ ( SV1332
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ( SV1332 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV1332
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ( SV1332 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ( SV1332
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1332 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2644:[bind(SV58,$thf( ^ [SX0: b] : ~ ( SV1332 @ SX0 ) ))]]) ).
thf(4789,plain,
! [SV280: b,SV1362: b > $o] :
( ( ( ~ ~ ~ ~ ~ ( SV1362 @ SV280 ) )
= $false )
| ( ( ~ ( SV1362 @ SV280 ) )
= $false )
| ( ( ~ ~ ( SV1362
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1362 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2646:[bind(SV234,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( ~ ( ~ ( SV1362 @ SX0 ) ) ) ) ) ))]]) ).
thf(4790,plain,
! [SV280: b,SV1359: b > $o] :
( ( ( ~ ~ ~ ~ ( SV1359 @ SV280 ) )
= $false )
| ( ( ~ ( SV1359 @ SV280 ) )
= $true )
| ( ( ~ ~ ( SV1359
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1359 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2646:[bind(SV234,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( ~ ( SV1359 @ SX0 ) ) ) ) ))]]) ).
thf(4793,plain,
! [SV280: b,SV1356: b > $o] :
( ( ( ~ ~ ~ ( SV1356 @ SV280 ) )
= $false )
| ( ( ~ ( SV1356 @ SV280 ) )
= $false )
| ( ( ~ ~ ( SV1356
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1356 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2646:[bind(SV234,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( SV1356 @ SX0 ) ) ) ))]]) ).
thf(4794,plain,
! [SV280: b,SV1353: b > $o] :
( ( ( ~ ~ ( SV1353 @ SV280 ) )
= $false )
| ( ( ~ ( SV1353 @ SV280 ) )
= $true )
| ( ( ~ ~ ( SV1353
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1353 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2646:[bind(SV234,$thf( ^ [SX0: b] : ~ ( ~ ( SV1353 @ SX0 ) ) ))]]) ).
thf(4797,plain,
! [SV280: b,SV1350: b > $o] :
( ( ( ~ ( SV1350 @ SV280 ) )
= $false )
| ( ( ~ ( SV1350 @ SV280 ) )
= $false )
| ( ( ~ ~ ( SV1350
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1350 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2646:[bind(SV234,$thf( ^ [SX0: b] : ~ ( SV1350 @ SX0 ) ))]]) ).
thf(4799,plain,
! [SV281: b,SV1380: b > $o] :
( ( ( ~ ~ ~ ~ ~ ( SV1380 @ SV281 ) )
= $false )
| ( ( ~ ( SV1380 @ SV281 ) )
= $false )
| ( ( ~ ~ ( SV1380
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1380 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2648:[bind(SV236,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( ~ ( ~ ( SV1380 @ SX0 ) ) ) ) ) ))]]) ).
thf(4800,plain,
! [SV281: b,SV1377: b > $o] :
( ( ( ~ ~ ~ ~ ( SV1377 @ SV281 ) )
= $false )
| ( ( ~ ( SV1377 @ SV281 ) )
= $true )
| ( ( ~ ~ ( SV1377
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1377 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2648:[bind(SV236,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( ~ ( SV1377 @ SX0 ) ) ) ) ))]]) ).
thf(4803,plain,
! [SV281: b,SV1374: b > $o] :
( ( ( ~ ~ ~ ( SV1374 @ SV281 ) )
= $false )
| ( ( ~ ( SV1374 @ SV281 ) )
= $false )
| ( ( ~ ~ ( SV1374
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1374 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2648:[bind(SV236,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( SV1374 @ SX0 ) ) ) ))]]) ).
thf(4804,plain,
! [SV281: b,SV1371: b > $o] :
( ( ( ~ ~ ( SV1371 @ SV281 ) )
= $false )
| ( ( ~ ( SV1371 @ SV281 ) )
= $true )
| ( ( ~ ~ ( SV1371
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1371 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2648:[bind(SV236,$thf( ^ [SX0: b] : ~ ( ~ ( SV1371 @ SX0 ) ) ))]]) ).
thf(4807,plain,
! [SV281: b,SV1368: b > $o] :
( ( ( ~ ( SV1368 @ SV281 ) )
= $false )
| ( ( ~ ( SV1368 @ SV281 ) )
= $false )
| ( ( ~ ~ ( SV1368
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1368 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2648:[bind(SV236,$thf( ^ [SX0: b] : ~ ( SV1368 @ SX0 ) ))]]) ).
thf(4809,plain,
! [SV282: b,SV1398: b > $o] :
( ( ( ~ ~ ~ ~ ~ ( SV1398 @ SV282 ) )
= $false )
| ( ( ~ ( SV1398 @ SV282 ) )
= $false )
| ( ( ~ ~ ( SV1398
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1398 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2650:[bind(SV238,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( ~ ( ~ ( SV1398 @ SX0 ) ) ) ) ) ))]]) ).
thf(4810,plain,
! [SV282: b,SV1395: b > $o] :
( ( ( ~ ~ ~ ~ ( SV1395 @ SV282 ) )
= $false )
| ( ( ~ ( SV1395 @ SV282 ) )
= $true )
| ( ( ~ ~ ( SV1395
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1395 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2650:[bind(SV238,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( ~ ( SV1395 @ SX0 ) ) ) ) ))]]) ).
thf(4813,plain,
! [SV282: b,SV1392: b > $o] :
( ( ( ~ ~ ~ ( SV1392 @ SV282 ) )
= $false )
| ( ( ~ ( SV1392 @ SV282 ) )
= $false )
| ( ( ~ ~ ( SV1392
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1392 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2650:[bind(SV238,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( SV1392 @ SX0 ) ) ) ))]]) ).
thf(4814,plain,
! [SV282: b,SV1389: b > $o] :
( ( ( ~ ~ ( SV1389 @ SV282 ) )
= $false )
| ( ( ~ ( SV1389 @ SV282 ) )
= $true )
| ( ( ~ ~ ( SV1389
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1389 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2650:[bind(SV238,$thf( ^ [SX0: b] : ~ ( ~ ( SV1389 @ SX0 ) ) ))]]) ).
thf(4817,plain,
! [SV282: b,SV1386: b > $o] :
( ( ( ~ ( SV1386 @ SV282 ) )
= $false )
| ( ( ~ ( SV1386 @ SV282 ) )
= $false )
| ( ( ~ ~ ( SV1386
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1386 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2650:[bind(SV238,$thf( ^ [SX0: b] : ~ ( SV1386 @ SX0 ) ))]]) ).
thf(4819,plain,
! [SV283: b,SV1416: b > $o] :
( ( ( ~ ~ ~ ~ ~ ( SV1416 @ SV283 ) )
= $false )
| ( ( ~ ( SV1416 @ SV283 ) )
= $false )
| ( ( ~ ~ ( SV1416
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1416 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2652:[bind(SV240,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( ~ ( ~ ( SV1416 @ SX0 ) ) ) ) ) ))]]) ).
thf(4820,plain,
! [SV283: b,SV1413: b > $o] :
( ( ( ~ ~ ~ ~ ( SV1413 @ SV283 ) )
= $false )
| ( ( ~ ( SV1413 @ SV283 ) )
= $true )
| ( ( ~ ~ ( SV1413
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1413 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2652:[bind(SV240,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( ~ ( SV1413 @ SX0 ) ) ) ) ))]]) ).
thf(4823,plain,
! [SV283: b,SV1410: b > $o] :
( ( ( ~ ~ ~ ( SV1410 @ SV283 ) )
= $false )
| ( ( ~ ( SV1410 @ SV283 ) )
= $false )
| ( ( ~ ~ ( SV1410
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1410 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2652:[bind(SV240,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( SV1410 @ SX0 ) ) ) ))]]) ).
thf(4824,plain,
! [SV283: b,SV1407: b > $o] :
( ( ( ~ ~ ( SV1407 @ SV283 ) )
= $false )
| ( ( ~ ( SV1407 @ SV283 ) )
= $true )
| ( ( ~ ~ ( SV1407
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1407 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2652:[bind(SV240,$thf( ^ [SX0: b] : ~ ( ~ ( SV1407 @ SX0 ) ) ))]]) ).
thf(4827,plain,
! [SV283: b,SV1404: b > $o] :
( ( ( ~ ( SV1404 @ SV283 ) )
= $false )
| ( ( ~ ( SV1404 @ SV283 ) )
= $false )
| ( ( ~ ~ ( SV1404
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1404 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2652:[bind(SV240,$thf( ^ [SX0: b] : ~ ( SV1404 @ SX0 ) ))]]) ).
thf(4829,plain,
! [SV176: b,SV1434: b > $o] :
( ( ( ~ ~ ~ ~ ~ ( SV1434 @ SV176 ) )
= $false )
| ( ( ~ ( SV1434 @ SV176 ) )
= $false )
| ( ( ~ ~ ( SV1434
@ ( sK5_SY206
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1434 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2654:[bind(SV9,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( ~ ( ~ ( SV1434 @ SX0 ) ) ) ) ) ))]]) ).
thf(4830,plain,
! [SV176: b,SV1431: b > $o] :
( ( ( ~ ~ ~ ~ ( SV1431 @ SV176 ) )
= $false )
| ( ( ~ ( SV1431 @ SV176 ) )
= $true )
| ( ( ~ ~ ( SV1431
@ ( sK5_SY206
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1431 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2654:[bind(SV9,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( ~ ( SV1431 @ SX0 ) ) ) ) ))]]) ).
thf(4833,plain,
! [SV176: b,SV1428: b > $o] :
( ( ( ~ ~ ~ ( SV1428 @ SV176 ) )
= $false )
| ( ( ~ ( SV1428 @ SV176 ) )
= $false )
| ( ( ~ ~ ( SV1428
@ ( sK5_SY206
@ ^ [SX0: b] :
~ ~ ~ ( SV1428 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2654:[bind(SV9,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( SV1428 @ SX0 ) ) ) ))]]) ).
thf(4834,plain,
! [SV176: b,SV1425: b > $o] :
( ( ( ~ ~ ( SV1425 @ SV176 ) )
= $false )
| ( ( ~ ( SV1425 @ SV176 ) )
= $true )
| ( ( ~ ~ ( SV1425
@ ( sK5_SY206
@ ^ [SX0: b] :
~ ~ ( SV1425 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2654:[bind(SV9,$thf( ^ [SX0: b] : ~ ( ~ ( SV1425 @ SX0 ) ) ))]]) ).
thf(4837,plain,
! [SV176: b,SV1422: b > $o] :
( ( ( ~ ( SV1422 @ SV176 ) )
= $false )
| ( ( ~ ( SV1422 @ SV176 ) )
= $false )
| ( ( ~ ~ ( SV1422
@ ( sK5_SY206
@ ^ [SX0: b] :
~ ( SV1422 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2654:[bind(SV9,$thf( ^ [SX0: b] : ~ ( SV1422 @ SX0 ) ))]]) ).
thf(4839,plain,
! [SV177: b,SV1452: b > $o] :
( ( ( ~ ~ ~ ~ ~ ( SV1452 @ SV177 ) )
= $false )
| ( ( ~ ( SV1452 @ SV177 ) )
= $false )
| ( ( ~ ~ ( SV1452
@ ( sK6_SY207
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1452 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2656:[bind(SV10,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( ~ ( ~ ( SV1452 @ SX0 ) ) ) ) ) ))]]) ).
thf(4840,plain,
! [SV177: b,SV1449: b > $o] :
( ( ( ~ ~ ~ ~ ( SV1449 @ SV177 ) )
= $false )
| ( ( ~ ( SV1449 @ SV177 ) )
= $true )
| ( ( ~ ~ ( SV1449
@ ( sK6_SY207
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1449 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2656:[bind(SV10,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( ~ ( SV1449 @ SX0 ) ) ) ) ))]]) ).
thf(4843,plain,
! [SV177: b,SV1446: b > $o] :
( ( ( ~ ~ ~ ( SV1446 @ SV177 ) )
= $false )
| ( ( ~ ( SV1446 @ SV177 ) )
= $false )
| ( ( ~ ~ ( SV1446
@ ( sK6_SY207
@ ^ [SX0: b] :
~ ~ ~ ( SV1446 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2656:[bind(SV10,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( SV1446 @ SX0 ) ) ) ))]]) ).
thf(4844,plain,
! [SV177: b,SV1443: b > $o] :
( ( ( ~ ~ ( SV1443 @ SV177 ) )
= $false )
| ( ( ~ ( SV1443 @ SV177 ) )
= $true )
| ( ( ~ ~ ( SV1443
@ ( sK6_SY207
@ ^ [SX0: b] :
~ ~ ( SV1443 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2656:[bind(SV10,$thf( ^ [SX0: b] : ~ ( ~ ( SV1443 @ SX0 ) ) ))]]) ).
thf(4847,plain,
! [SV177: b,SV1440: b > $o] :
( ( ( ~ ( SV1440 @ SV177 ) )
= $false )
| ( ( ~ ( SV1440 @ SV177 ) )
= $false )
| ( ( ~ ~ ( SV1440
@ ( sK6_SY207
@ ^ [SX0: b] :
~ ( SV1440 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2656:[bind(SV10,$thf( ^ [SX0: b] : ~ ( SV1440 @ SX0 ) ))]]) ).
thf(4848,plain,
! [SV170: b] :
( ( ( member_b @ SV170 @ bot_bot_set_b )
= $false )
| ( ( member_b @ SV170 @ bot_bot_set_b )
= $false ) ),
inference(extuni,[status(esa)],[3368:[bind(SV65,$thf( bot_bot_set_b ))]]) ).
thf(4851,plain,
! [SV284: b,SV1470: b > $o] :
( ( ( ~ ~ ~ ~ ~ ( SV1470 @ SV284 ) )
= $false )
| ( ( ~ ( SV1470 @ SV284 ) )
= $false )
| ( ( ~ ~ ( SV1470
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1470 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2662:[bind(SV242,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( ~ ( ~ ( SV1470 @ SX0 ) ) ) ) ) ))]]) ).
thf(4852,plain,
! [SV284: b,SV1467: b > $o] :
( ( ( ~ ~ ~ ~ ( SV1467 @ SV284 ) )
= $false )
| ( ( ~ ( SV1467 @ SV284 ) )
= $true )
| ( ( ~ ~ ( SV1467
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1467 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2662:[bind(SV242,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( ~ ( SV1467 @ SX0 ) ) ) ) ))]]) ).
thf(4855,plain,
! [SV284: b,SV1464: b > $o] :
( ( ( ~ ~ ~ ( SV1464 @ SV284 ) )
= $false )
| ( ( ~ ( SV1464 @ SV284 ) )
= $false )
| ( ( ~ ~ ( SV1464
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1464 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2662:[bind(SV242,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( SV1464 @ SX0 ) ) ) ))]]) ).
thf(4856,plain,
! [SV284: b,SV1461: b > $o] :
( ( ( ~ ~ ( SV1461 @ SV284 ) )
= $false )
| ( ( ~ ( SV1461 @ SV284 ) )
= $true )
| ( ( ~ ~ ( SV1461
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1461 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2662:[bind(SV242,$thf( ^ [SX0: b] : ~ ( ~ ( SV1461 @ SX0 ) ) ))]]) ).
thf(4859,plain,
! [SV284: b,SV1458: b > $o] :
( ( ( ~ ( SV1458 @ SV284 ) )
= $false )
| ( ( ~ ( SV1458 @ SV284 ) )
= $false )
| ( ( ~ ~ ( SV1458
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1458 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2662:[bind(SV242,$thf( ^ [SX0: b] : ~ ( SV1458 @ SX0 ) ))]]) ).
thf(4861,plain,
! [SV285: b,SV1488: b > $o] :
( ( ( ~ ~ ~ ~ ~ ( SV1488 @ SV285 ) )
= $false )
| ( ( ~ ( SV1488 @ SV285 ) )
= $false )
| ( ( ~ ~ ( SV1488
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1488 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2668:[bind(SV244,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( ~ ( ~ ( SV1488 @ SX0 ) ) ) ) ) ))]]) ).
thf(4862,plain,
! [SV285: b,SV1485: b > $o] :
( ( ( ~ ~ ~ ~ ( SV1485 @ SV285 ) )
= $false )
| ( ( ~ ( SV1485 @ SV285 ) )
= $true )
| ( ( ~ ~ ( SV1485
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1485 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2668:[bind(SV244,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( ~ ( SV1485 @ SX0 ) ) ) ) ))]]) ).
thf(4865,plain,
! [SV285: b,SV1482: b > $o] :
( ( ( ~ ~ ~ ( SV1482 @ SV285 ) )
= $false )
| ( ( ~ ( SV1482 @ SV285 ) )
= $false )
| ( ( ~ ~ ( SV1482
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1482 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2668:[bind(SV244,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( SV1482 @ SX0 ) ) ) ))]]) ).
thf(4866,plain,
! [SV285: b,SV1479: b > $o] :
( ( ( ~ ~ ( SV1479 @ SV285 ) )
= $false )
| ( ( ~ ( SV1479 @ SV285 ) )
= $true )
| ( ( ~ ~ ( SV1479
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1479 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2668:[bind(SV244,$thf( ^ [SX0: b] : ~ ( ~ ( SV1479 @ SX0 ) ) ))]]) ).
thf(4869,plain,
! [SV285: b,SV1476: b > $o] :
( ( ( ~ ( SV1476 @ SV285 ) )
= $false )
| ( ( ~ ( SV1476 @ SV285 ) )
= $false )
| ( ( ~ ~ ( SV1476
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1476 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2668:[bind(SV244,$thf( ^ [SX0: b] : ~ ( SV1476 @ SX0 ) ))]]) ).
thf(4871,plain,
! [SV286: b,SV1506: b > $o] :
( ( ( ~ ~ ~ ~ ~ ( SV1506 @ SV286 ) )
= $false )
| ( ( ~ ( SV1506 @ SV286 ) )
= $false )
| ( ( ~ ~ ( SV1506
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1506 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2670:[bind(SV246,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( ~ ( ~ ( SV1506 @ SX0 ) ) ) ) ) ))]]) ).
thf(4872,plain,
! [SV286: b,SV1503: b > $o] :
( ( ( ~ ~ ~ ~ ( SV1503 @ SV286 ) )
= $false )
| ( ( ~ ( SV1503 @ SV286 ) )
= $true )
| ( ( ~ ~ ( SV1503
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1503 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2670:[bind(SV246,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( ~ ( SV1503 @ SX0 ) ) ) ) ))]]) ).
thf(4875,plain,
! [SV286: b,SV1500: b > $o] :
( ( ( ~ ~ ~ ( SV1500 @ SV286 ) )
= $false )
| ( ( ~ ( SV1500 @ SV286 ) )
= $false )
| ( ( ~ ~ ( SV1500
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1500 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2670:[bind(SV246,$thf( ^ [SX0: b] : ~ ( ~ ( ~ ( SV1500 @ SX0 ) ) ) ))]]) ).
thf(4876,plain,
! [SV286: b,SV1497: b > $o] :
( ( ( ~ ~ ( SV1497 @ SV286 ) )
= $false )
| ( ( ~ ( SV1497 @ SV286 ) )
= $true )
| ( ( ~ ~ ( SV1497
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1497 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2670:[bind(SV246,$thf( ^ [SX0: b] : ~ ( ~ ( SV1497 @ SX0 ) ) ))]]) ).
thf(4879,plain,
! [SV286: b,SV1494: b > $o] :
( ( ( ~ ( SV1494 @ SV286 ) )
= $false )
| ( ( ~ ( SV1494 @ SV286 ) )
= $false )
| ( ( ~ ~ ( SV1494
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1494 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2670:[bind(SV246,$thf( ^ [SX0: b] : ~ ( SV1494 @ SX0 ) ))]]) ).
thf(4880,plain,
! [SV188: b] :
( ( ( hilbert_Eps_b
@ ^ [SX0: b] : ( SX0 = SV188 ) )
= SV188 )
= $true ),
inference(extuni,[status(esa)],[2301:[bind(SV256,$thf( SV188 ))]]) ).
thf(4881,plain,
! [SV257: b] :
( ( SV257
= ( hilbert_Eps_b
@ ^ [SX0: b] : ( SV257 = SX0 ) ) )
= $true ),
inference(extuni,[status(esa)],[2302:[bind(SV190,$thf( SV257 ))]]) ).
thf(4882,plain,
( ( x = y )
= $false ),
inference(extuni,[status(esa)],[622]) ).
thf(4883,plain,
( ( ( insert_b @ x @ bot_bot_set_b )
= ( insert_b @ y @ bot_bot_set_b ) )
= $false ),
inference(extuni,[status(esa)],[622]) ).
thf(4884,plain,
( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) )
= ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ y @ bot_bot_set_b ) ) )
= $false ),
inference(extuni,[status(esa)],[622]) ).
thf(4885,plain,
( ( ( member_b @ sK69_E @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) ) )
= $true )
| ( ( member_b @ sK69_E @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ y @ bot_bot_set_b ) ) )
= $true ) ),
inference(extuni,[status(esa)],[622]) ).
thf(4886,plain,
( ( ( member_b @ sK69_E @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) ) )
= $false )
| ( ( member_b @ sK69_E @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ y @ bot_bot_set_b ) ) )
= $false ) ),
inference(extuni,[status(esa)],[622]) ).
thf(4887,plain,
( ( x = y )
= $false ),
inference(extuni,[status(esa)],[622]) ).
thf(4888,plain,
( ( ( insert_b @ x @ bot_bot_set_b )
= ( insert_b @ y @ bot_bot_set_b ) )
= $false ),
inference(extuni,[status(esa)],[622]) ).
thf(4889,plain,
( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) )
= ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ y @ bot_bot_set_b ) ) )
= $false ),
inference(extuni,[status(esa)],[622]) ).
thf(4890,plain,
( ( ( member_b @ sK70_E @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) ) )
= $true )
| ( ( member_b @ sK70_E @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ y @ bot_bot_set_b ) ) )
= $true ) ),
inference(extuni,[status(esa)],[622]) ).
thf(4891,plain,
( ( ( member_b @ sK70_E @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) ) )
= $false )
| ( ( member_b @ sK70_E @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ y @ bot_bot_set_b ) ) )
= $false ) ),
inference(extuni,[status(esa)],[622]) ).
thf(4892,plain,
! [SV320: b] :
( ( is_singleton_b @ ( insert_b @ SV320 @ bot_bot_set_b ) )
= $true ),
inference(extuni,[status(esa)],[3011:[bind(SV297,$thf( insert_b @ SV320 @ bot_bot_set_b ))]]) ).
thf(4893,plain,
! [SV311: b] :
( ( member_b @ SV311 @ bot_bot_set_b )
= $false ),
inference(extuni,[status(esa)],[2854:[bind(SV11,$thf( bot_bot_set_b ))]]) ).
thf(4894,plain,
( ( ord_less_eq_set_b @ bot_bot_set_b @ bot_bot_set_b )
= $true ),
inference(extuni,[status(esa)],[2451:[bind(SV30,$thf( bot_bot_set_b ))]]) ).
thf(4895,plain,
( ( ord_less_eq_set_b @ bot_bot_set_b @ bot_bot_set_b )
= $true ),
inference(extuni,[status(esa)],[2453:[bind(SV31,$thf( bot_bot_set_b ))]]) ).
thf(4896,plain,
! [SV323: b] :
( ( member_b @ SV323 @ bot_bot_set_b )
= $false ),
inference(extuni,[status(esa)],[3165:[bind(SV65,$thf( bot_bot_set_b ))]]) ).
thf(4897,plain,
( ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] : ( member_b @ SX0 @ bot_bot_set_b ) )
@ bot_bot_set_b )
= $false ),
inference(extuni,[status(esa)],[2695:[bind(SV70,$thf( bot_bot_set_b ))]]) ).
thf(4898,plain,
! [SV91: b] :
( ( member_b @ SV91 @ ( insert_b @ SV91 @ bot_bot_set_b ) )
= $true ),
inference(extuni,[status(esa)],[2465:[bind(SV22,$thf( SV91 ))]]) ).
thf(4899,plain,
! [SV95: b] :
( ( ord_less_eq_set_b @ bot_bot_set_b @ ( insert_b @ SV95 @ bot_bot_set_b ) )
= $true ),
inference(extuni,[status(esa)],[2698:[bind(SV34,$thf( bot_bot_set_b ))]]) ).
thf(4900,plain,
! [SV95: b] :
( ( ord_less_eq_set_b @ ( insert_b @ SV95 @ bot_bot_set_b ) @ ( insert_b @ SV95 @ bot_bot_set_b ) )
= $true ),
inference(extuni,[status(esa)],[2699:[bind(SV34,$thf( insert_b @ SV95 @ bot_bot_set_b ))]]) ).
thf(4901,plain,
! [SV324: b] :
( ( is_singleton_b @ ( insert_b @ SV324 @ bot_bot_set_b ) )
= $true ),
inference(extuni,[status(esa)],[3021:[bind(SV109,$thf( insert_b @ SV324 @ bot_bot_set_b ))]]) ).
thf(4902,plain,
! [SV135: set_b,SV86: b] :
( ( member_b @ SV86 @ ( insert_b @ SV86 @ SV135 ) )
= $true ),
inference(extuni,[status(esa)],[2707:[bind(SV14,$thf( SV86 ))]]) ).
thf(4904,plain,
! [SV146: b] :
( ( ord_less_eq_set_b @ bot_bot_set_b @ ( insert_b @ SV146 @ bot_bot_set_b ) )
= $true ),
inference(extuni,[status(esa)],[3028:[bind(SV108,$thf( bot_bot_set_b )),bind(SV54,$thf( SV146 ))]]) ).
thf(4905,plain,
! [SV108: set_b,SV146: b] :
( ( ( ( insert_b @ SV146 @ SV108 )
= ( insert_b @ SV146 @ bot_bot_set_b ) )
= $true )
| ( ( ord_less_eq_set_b @ SV108 @ ( insert_b @ SV146 @ bot_bot_set_b ) )
= $false ) ),
inference(extuni,[status(esa)],[3168:[bind(SV54,$thf( SV146 ))]]) ).
thf(4907,plain,
! [SV117: b] :
( ( ord_less_eq_set_b @ bot_bot_set_b @ ( insert_b @ SV117 @ bot_bot_set_b ) )
= $true ),
inference(extuni,[status(esa)],[3031:[bind(SV151,$thf( bot_bot_set_b )),bind(SV64,$thf( SV117 ))]]) ).
thf(4908,plain,
! [SV151: set_b,SV64: b] :
( ( ( ( insert_b @ SV64 @ bot_bot_set_b )
= ( insert_b @ SV64 @ SV151 ) )
= $true )
| ( ( ord_less_eq_set_b @ SV151 @ ( insert_b @ SV64 @ bot_bot_set_b ) )
= $false ) ),
inference(extuni,[status(esa)],[3169:[bind(SV117,$thf( SV64 ))]]) ).
thf(4910,plain,
! [SV111: b] :
( ( member_b @ SV111 @ bot_bot_set_b )
= $false ),
inference(extuni,[status(esa)],[947:[bind(SV57,$thf( bot_bot_set_b ))]]) ).
thf(4916,plain,
! [SV148: b,SV163: b,SV112: b] :
( ( ( ( insert_b @ SV112 @ bot_bot_set_b )
= ( insert_b @ SV163 @ bot_bot_set_b ) )
= $false )
| ( ( SV112 = SV163 )
= $true )
| ( ( SV148 = SV163 )
= $true ) ),
inference(extuni,[status(esa)],[3459:[bind(SV59,$thf( SV148 ))]]) ).
thf(4918,plain,
! [SV148: b,SV163: b,SV112: b] :
( ( ( ( insert_b @ SV112 @ bot_bot_set_b )
= ( insert_b @ SV163 @ bot_bot_set_b ) )
= $false )
| ( ( SV112 = SV163 )
= $true )
| ( ( SV112 = SV148 )
= $true ) ),
inference(extuni,[status(esa)],[3460:[bind(SV59,$thf( SV148 ))]]) ).
thf(4920,plain,
! [SV148: b,SV163: b] :
( ( ( insert_b @ SV163 @ ( insert_b @ SV148 @ bot_bot_set_b ) )
= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
= $true ),
inference(extuni,[status(esa)],[3285:[bind(SV59,$thf( SV163 )),bind(SV112,$thf( SV148 ))]]) ).
thf(4921,plain,
! [SV118: set_b,SV152: b] :
( ( member_b @ SV152 @ ( insert_b @ SV152 @ SV118 ) )
= $true ),
inference(extuni,[status(esa)],[1031:[bind(SV66,$thf( SV152 ))]]) ).
thf(4922,plain,
! [SV154: b,SV74: b > $o] :
( ( ( SV74 @ ( hilbert_Eps_b @ SV74 ) )
= $true )
| ( ( SV74 @ SV154 )
= $false ) ),
inference(extuni,[status(esa)],[1129:[bind(SV125,$thf( hilbert_Eps_b @ SV74 ))]]) ).
thf(4923,plain,
! [SV154: b] :
( ( ( hilbert_Eps_b
@ ^ [SX0: b] : ( SX0 = SV154 ) )
= SV154 )
= $true ),
inference(extuni,[status(esa)],[2363:[bind(SV125,$thf( hilbert_Eps_b @ ^ [SX0: b] : ( SX0 = SV154 ) ))]]) ).
thf(4925,plain,
( ( ord_less_eq_set_b @ bot_bot_set_b @ bot_bot_set_b )
= $true ),
inference(extuni,[status(esa)],[1168:[bind(SV30,$thf( bot_bot_set_b ))]]) ).
thf(4927,plain,
( ( ord_less_eq_set_b @ bot_bot_set_b @ bot_bot_set_b )
= $true ),
inference(extuni,[status(esa)],[1172:[bind(SV31,$thf( bot_bot_set_b ))]]) ).
thf(4929,plain,
! [SV91: b] :
( ( member_b @ SV91 @ ( insert_b @ SV91 @ bot_bot_set_b ) )
= $true ),
inference(extuni,[status(esa)],[1260:[bind(SV22,$thf( SV91 ))]]) ).
thf(4931,plain,
( ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] : ( member_b @ SX0 @ bot_bot_set_b ) )
@ bot_bot_set_b )
= $false ),
inference(extuni,[status(esa)],[1332:[bind(SV70,$thf( bot_bot_set_b ))]]) ).
thf(4932,plain,
! [SV175: b] :
( ( member_b @ SV175 @ bot_bot_set_b )
= $false ),
inference(extuni,[status(esa)],[1353:[bind(SV11,$thf( bot_bot_set_b ))]]) ).
thf(4933,plain,
! [SV95: b] :
( ( ord_less_eq_set_b @ bot_bot_set_b @ ( insert_b @ SV95 @ bot_bot_set_b ) )
= $true ),
inference(extuni,[status(esa)],[1362:[bind(SV34,$thf( bot_bot_set_b ))]]) ).
thf(4934,plain,
! [SV95: b] :
( ( ord_less_eq_set_b @ ( insert_b @ SV95 @ bot_bot_set_b ) @ ( insert_b @ SV95 @ bot_bot_set_b ) )
= $true ),
inference(extuni,[status(esa)],[1364:[bind(SV34,$thf( insert_b @ SV95 @ bot_bot_set_b ))]]) ).
thf(4941,plain,
! [SV135: set_b,SV86: b] :
( ( member_b @ SV86 @ ( insert_b @ SV86 @ SV135 ) )
= $true ),
inference(extuni,[status(esa)],[1456:[bind(SV14,$thf( SV86 ))]]) ).
thf(4945,plain,
! [SV148: b,SV163: b,SV112: b] :
( ( ( ( insert_b @ SV112 @ bot_bot_set_b )
= ( insert_b @ SV163 @ bot_bot_set_b ) )
= $false )
| ( ( ( insert_b @ SV148 @ ( insert_b @ SV112 @ bot_bot_set_b ) )
= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
= $true ) ),
inference(extuni,[status(esa)],[1493:[bind(SV59,$thf( SV148 ))]]) ).
thf(4947,plain,
! [SV164: set_b,SV123: set_b,SV153: b] :
( ( ( member_b @ SV153 @ SV123 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( ( insert_b @ SV153 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $false )
| ( ( SV123 = SV164 )
= $true ) ),
inference(extuni,[status(esa)],[3286:[bind(SV72,$thf( SV153 ))]]) ).
thf(4953,plain,
! [SV326: set_b,SV153: b,SV72: b] :
( ( ( member_b @ SV72 @ ( insert_b @ SV153 @ SV326 ) )
= $true )
| ( ( member_b @ SV153 @ ( insert_b @ SV72 @ SV326 ) )
= $true )
| ( ( ( insert_b @ SV72 @ ( insert_b @ SV153 @ SV326 ) )
= ( insert_b @ SV153 @ ( insert_b @ SV72 @ SV326 ) ) )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( member_b @ SV153 @ SV326 )
= $true )
| ( ( member_b @ SV72 @ SV326 )
= $true ) ),
inference(extuni,[status(esa)],[4362:[bind(SV164,$thf( insert_b @ SV72 @ SV326 )),bind(SV123,$thf( insert_b @ SV153 @ SV326 ))]]) ).
thf(4956,plain,
! [SV325: set_b,SV153: b,SV72: b] :
( ( ( member_b @ SV72 @ ( insert_b @ SV153 @ SV325 ) )
= $true )
| ( ( member_b @ SV153 @ ( insert_b @ SV72 @ SV325 ) )
= $true )
| ( ( ( insert_b @ SV72 @ ( insert_b @ SV153 @ SV325 ) )
= ( insert_b @ SV153 @ ( insert_b @ SV72 @ SV325 ) ) )
= $true )
| ( ( ( insert_b @ SV153 @ SV325 )
= ( insert_b @ SV72 @ SV325 ) )
= $false )
| ( ( member_b @ SV153 @ SV325 )
= $true )
| ( ( member_b @ SV72 @ SV325 )
= $true ) ),
inference(extuni,[status(esa)],[4361:[bind(SV164,$thf( insert_b @ SV72 @ SV325 )),bind(SV123,$thf( insert_b @ SV153 @ SV325 ))]]) ).
thf(4958,plain,
! [SV172: b] :
( ( is_singleton_b @ ( insert_b @ SV172 @ bot_bot_set_b ) )
= $true ),
inference(extuni,[status(esa)],[1545:[bind(SV109,$thf( insert_b @ SV172 @ bot_bot_set_b ))]]) ).
thf(4959,plain,
! [SV170: b] :
( ( member_b @ SV170 @ bot_bot_set_b )
= $false ),
inference(extuni,[status(esa)],[1557:[bind(SV65,$thf( bot_bot_set_b ))]]) ).
thf(4961,plain,
! [SV146: b] :
( ( ord_less_eq_set_b @ bot_bot_set_b @ ( insert_b @ SV146 @ bot_bot_set_b ) )
= $true ),
inference(extuni,[status(esa)],[1604:[bind(SV108,$thf( bot_bot_set_b )),bind(SV54,$thf( SV146 ))]]) ).
thf(4963,plain,
! [SV117: b] :
( ( ord_less_eq_set_b @ bot_bot_set_b @ ( insert_b @ SV117 @ bot_bot_set_b ) )
= $true ),
inference(extuni,[status(esa)],[1617:[bind(SV151,$thf( bot_bot_set_b )),bind(SV64,$thf( SV117 ))]]) ).
thf(4964,plain,
! [SV146: b,SV108: set_b] :
( ( ( ord_less_eq_set_b @ SV108 @ ( insert_b @ SV146 @ bot_bot_set_b ) )
= $false )
| ( ( ( insert_b @ SV146 @ SV108 )
= ( insert_b @ SV146 @ bot_bot_set_b ) )
= $true ) ),
inference(extuni,[status(esa)],[1658:[bind(SV54,$thf( SV146 ))]]) ).
thf(4965,plain,
! [SV64: b,SV151: set_b] :
( ( ( ord_less_eq_set_b @ SV151 @ ( insert_b @ SV64 @ bot_bot_set_b ) )
= $false )
| ( ( ( insert_b @ SV64 @ bot_bot_set_b )
= ( insert_b @ SV64 @ SV151 ) )
= $true ) ),
inference(extuni,[status(esa)],[1670:[bind(SV117,$thf( SV64 ))]]) ).
thf(4966,plain,
! [SV172: b] :
( ( ( insert_b @ SV172 @ bot_bot_set_b )
= ( insert_b @ ( sK23_SY332 @ SV172 @ ( insert_b @ SV172 @ bot_bot_set_b ) ) @ bot_bot_set_b ) )
= $true ),
inference(extuni,[status(esa)],[1732:[bind(SV109,$thf( insert_b @ SV172 @ bot_bot_set_b ))]]) ).
thf(4972,plain,
! [SV148: b,SV163: b] :
( ( ( insert_b @ SV163 @ ( insert_b @ SV148 @ bot_bot_set_b ) )
= ( insert_b @ SV148 @ ( insert_b @ SV163 @ bot_bot_set_b ) ) )
= $true ),
inference(extuni,[status(esa)],[1813:[bind(SV112,$thf( SV148 )),bind(SV59,$thf( SV163 ))]]) ).
thf(4983,plain,
! [SV148: b,SV163: b,SV112: b] :
( ( ( ( insert_b @ SV112 @ bot_bot_set_b )
= ( insert_b @ SV163 @ bot_bot_set_b ) )
= $false )
| ( ( SV112 = SV163 )
= $true )
| ( ( SV148 = SV163 )
= $true ) ),
inference(extuni,[status(esa)],[1845:[bind(SV59,$thf( SV148 ))]]) ).
thf(4985,plain,
! [SV148: b,SV163: b,SV112: b] :
( ( ( ( insert_b @ SV112 @ bot_bot_set_b )
= ( insert_b @ SV163 @ bot_bot_set_b ) )
= $false )
| ( ( SV112 = SV163 )
= $true )
| ( ( SV112 = SV148 )
= $true ) ),
inference(extuni,[status(esa)],[1846:[bind(SV59,$thf( SV148 ))]]) ).
thf(4987,plain,
! [SV164: set_b,SV123: set_b,SV153: b] :
( ( ( member_b @ SV153 @ SV123 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( ( insert_b @ SV153 @ SV123 )
= ( insert_b @ SV153 @ SV164 ) )
= $false )
| ( ( SV123 = SV164 )
= $true ) ),
inference(extuni,[status(esa)],[1892:[bind(SV72,$thf( SV153 ))]]) ).
thf(5008,plain,
! [SV153: b,SV185: set_b,SV72: b] :
( ( ( member_b @ SV72 @ ( insert_b @ SV72 @ SV185 ) )
= $true )
| ( ( member_b @ SV153 @ ( insert_b @ SV72 @ SV185 ) )
= $true )
| ( ( member_b @ SV72 @ SV185 )
= $true )
| ( ( member_b @ SV153 @ SV185 )
= $true )
| ( ( ( insert_b @ SV72 @ SV185 )
= ( insert_b @ SV153 @ SV185 ) )
= $false )
| ( ( ( insert_b @ SV72 @ ( insert_b @ SV72 @ SV185 ) )
= ( insert_b @ SV153 @ ( insert_b @ SV72 @ SV185 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2021:[bind(SV164,$thf( insert_b @ SV72 @ SV185 )),bind(SV123,$thf( insert_b @ SV72 @ SV185 ))]]) ).
thf(5010,plain,
! [SV186: set_b,SV153: b,SV72: b] :
( ( ( member_b @ SV72 @ ( insert_b @ SV153 @ SV186 ) )
= $true )
| ( ( member_b @ SV153 @ ( insert_b @ SV72 @ SV186 ) )
= $true )
| ( ( member_b @ SV72 @ SV186 )
= $true )
| ( ( member_b @ SV153 @ SV186 )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( ( insert_b @ SV72 @ ( insert_b @ SV153 @ SV186 ) )
= ( insert_b @ SV153 @ ( insert_b @ SV72 @ SV186 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2025:[bind(SV123,$thf( insert_b @ SV153 @ SV186 )),bind(SV164,$thf( insert_b @ SV72 @ SV186 ))]]) ).
thf(5018,plain,
! [SV153: b,SV185: set_b,SV72: b] :
( ( ( member_b @ SV72 @ ( insert_b @ SV72 @ SV185 ) )
= $true )
| ( ( member_b @ SV153 @ ( insert_b @ SV72 @ SV185 ) )
= $true )
| ( ( member_b @ SV72 @ SV185 )
= $true )
| ( ( member_b @ SV153 @ SV185 )
= $true )
| ( ( ( insert_b @ SV72 @ SV185 )
= ( insert_b @ SV153 @ SV185 ) )
= $false )
| ( ( SV72 = SV153 )
= $true )
| ( ( member_b @ SV72 @ ( sK28_SY374 @ SV185 @ SV72 @ ( insert_b @ SV72 @ SV185 ) @ SV153 @ ( insert_b @ SV72 @ SV185 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2076:[bind(SV164,$thf( insert_b @ SV72 @ SV185 )),bind(SV123,$thf( insert_b @ SV72 @ SV185 ))]]) ).
thf(5019,plain,
! [SV186: set_b,SV153: b,SV72: b] :
( ( ( member_b @ SV72 @ ( insert_b @ SV153 @ SV186 ) )
= $true )
| ( ( member_b @ SV153 @ ( insert_b @ SV72 @ SV186 ) )
= $true )
| ( ( member_b @ SV72 @ SV186 )
= $true )
| ( ( member_b @ SV153 @ SV186 )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( member_b @ SV72 @ ( sK29_SY374 @ SV186 @ SV72 @ ( insert_b @ SV72 @ SV186 ) @ SV153 @ ( insert_b @ SV153 @ SV186 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2078:[bind(SV123,$thf( insert_b @ SV153 @ SV186 )),bind(SV164,$thf( insert_b @ SV72 @ SV186 ))]]) ).
thf(5021,plain,
! [SV153: b,SV185: set_b,SV72: b] :
( ( ( member_b @ SV72 @ ( insert_b @ SV72 @ SV185 ) )
= $true )
| ( ( member_b @ SV153 @ ( insert_b @ SV72 @ SV185 ) )
= $true )
| ( ( member_b @ SV72 @ SV185 )
= $true )
| ( ( member_b @ SV153 @ SV185 )
= $true )
| ( ( ( insert_b @ SV72 @ SV185 )
= ( insert_b @ SV153 @ SV185 ) )
= $false )
| ( ( SV72 = SV153 )
= $true )
| ( ( ( insert_b @ SV72 @ SV185 )
= ( insert_b @ SV72 @ ( sK28_SY374 @ SV185 @ SV72 @ ( insert_b @ SV72 @ SV185 ) @ SV153 @ ( insert_b @ SV72 @ SV185 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2084:[bind(SV164,$thf( insert_b @ SV72 @ SV185 )),bind(SV123,$thf( insert_b @ SV72 @ SV185 ))]]) ).
thf(5022,plain,
! [SV186: set_b,SV153: b,SV72: b] :
( ( ( member_b @ SV72 @ ( insert_b @ SV153 @ SV186 ) )
= $true )
| ( ( member_b @ SV153 @ ( insert_b @ SV72 @ SV186 ) )
= $true )
| ( ( member_b @ SV72 @ SV186 )
= $true )
| ( ( member_b @ SV153 @ SV186 )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( ( insert_b @ SV72 @ SV186 )
= ( insert_b @ SV72 @ ( sK29_SY374 @ SV186 @ SV72 @ ( insert_b @ SV72 @ SV186 ) @ SV153 @ ( insert_b @ SV153 @ SV186 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2086:[bind(SV123,$thf( insert_b @ SV153 @ SV186 )),bind(SV164,$thf( insert_b @ SV72 @ SV186 ))]]) ).
thf(5024,plain,
! [SV153: b,SV185: set_b,SV72: b] :
( ( ( member_b @ SV72 @ ( insert_b @ SV72 @ SV185 ) )
= $true )
| ( ( member_b @ SV153 @ ( insert_b @ SV72 @ SV185 ) )
= $true )
| ( ( member_b @ SV72 @ SV185 )
= $true )
| ( ( member_b @ SV153 @ SV185 )
= $true )
| ( ( ( insert_b @ SV72 @ SV185 )
= ( insert_b @ SV153 @ SV185 ) )
= $false )
| ( ( SV72 = SV153 )
= $true )
| ( ( ( insert_b @ SV72 @ SV185 )
= ( insert_b @ SV153 @ ( sK28_SY374 @ SV185 @ SV72 @ ( insert_b @ SV72 @ SV185 ) @ SV153 @ ( insert_b @ SV72 @ SV185 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2093:[bind(SV164,$thf( insert_b @ SV72 @ SV185 )),bind(SV123,$thf( insert_b @ SV72 @ SV185 ))]]) ).
thf(5025,plain,
! [SV186: set_b,SV153: b,SV72: b] :
( ( ( member_b @ SV72 @ ( insert_b @ SV153 @ SV186 ) )
= $true )
| ( ( member_b @ SV153 @ ( insert_b @ SV72 @ SV186 ) )
= $true )
| ( ( member_b @ SV72 @ SV186 )
= $true )
| ( ( member_b @ SV153 @ SV186 )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( ( insert_b @ SV153 @ SV186 )
= ( insert_b @ SV153 @ ( sK29_SY374 @ SV186 @ SV72 @ ( insert_b @ SV72 @ SV186 ) @ SV153 @ ( insert_b @ SV153 @ SV186 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2095:[bind(SV123,$thf( insert_b @ SV153 @ SV186 )),bind(SV164,$thf( insert_b @ SV72 @ SV186 ))]]) ).
thf(5027,plain,
! [SV153: b,SV185: set_b,SV72: b] :
( ( ( member_b @ SV72 @ ( insert_b @ SV72 @ SV185 ) )
= $true )
| ( ( member_b @ SV153 @ ( insert_b @ SV72 @ SV185 ) )
= $true )
| ( ( member_b @ SV72 @ SV185 )
= $true )
| ( ( member_b @ SV153 @ SV185 )
= $true )
| ( ( ( insert_b @ SV72 @ SV185 )
= ( insert_b @ SV153 @ SV185 ) )
= $false )
| ( ( SV72 = SV153 )
= $true )
| ( ( member_b @ SV153 @ ( sK28_SY374 @ SV185 @ SV72 @ ( insert_b @ SV72 @ SV185 ) @ SV153 @ ( insert_b @ SV72 @ SV185 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2097:[bind(SV164,$thf( insert_b @ SV72 @ SV185 )),bind(SV123,$thf( insert_b @ SV72 @ SV185 ))]]) ).
thf(5028,plain,
! [SV186: set_b,SV153: b,SV72: b] :
( ( ( member_b @ SV72 @ ( insert_b @ SV153 @ SV186 ) )
= $true )
| ( ( member_b @ SV153 @ ( insert_b @ SV72 @ SV186 ) )
= $true )
| ( ( member_b @ SV72 @ SV186 )
= $true )
| ( ( member_b @ SV153 @ SV186 )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( member_b @ SV153 @ ( sK29_SY374 @ SV186 @ SV72 @ ( insert_b @ SV72 @ SV186 ) @ SV153 @ ( insert_b @ SV153 @ SV186 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2098:[bind(SV123,$thf( insert_b @ SV153 @ SV186 )),bind(SV164,$thf( insert_b @ SV72 @ SV186 ))]]) ).
thf(5029,plain,
! [SV260: b,SV344: b > $o] :
( ( ( SV344 @ SV260 )
= $true )
| ( ( ~ ( SV344 @ SV260 ) )
= $false )
| ( ( ~ ~ ( SV344
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV344 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4527]) ).
thf(5032,plain,
! [SV260: b,SV347: b > $o] :
( ( ( ~ ( SV347 @ SV260 ) )
= $true )
| ( ( ~ ( SV347 @ SV260 ) )
= $true )
| ( ( ~ ~ ( SV347
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV347 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4524]) ).
thf(5033,plain,
! [SV260: b,SV350: b > $o] :
( ( ( ~ ~ ( SV350 @ SV260 ) )
= $true )
| ( ( ~ ( SV350 @ SV260 ) )
= $false )
| ( ( ~ ~ ( SV350
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV350 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4523]) ).
thf(5036,plain,
! [SV260: b,SV353: b > $o] :
( ( ( ~ ~ ~ ( SV353 @ SV260 ) )
= $true )
| ( ( ~ ( SV353 @ SV260 ) )
= $true )
| ( ( ~ ~ ( SV353
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV353 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4520]) ).
thf(5037,plain,
! [SV260: b,SV356: b > $o] :
( ( ( ~ ~ ~ ~ ( SV356 @ SV260 ) )
= $true )
| ( ( ~ ( SV356 @ SV260 ) )
= $false )
| ( ( ~ ~ ( SV356
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV356 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4519]) ).
thf(5039,plain,
! [SV265: b,SV362: b > $o] :
( ( ( SV362 @ SV265 )
= $true )
| ( ( ~ ( SV362 @ SV265 ) )
= $false )
| ( ( ~ ~ ( SV362
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV362 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4584]) ).
thf(5042,plain,
! [SV265: b,SV365: b > $o] :
( ( ( ~ ( SV365 @ SV265 ) )
= $true )
| ( ( ~ ( SV365 @ SV265 ) )
= $true )
| ( ( ~ ~ ( SV365
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV365 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4581]) ).
thf(5043,plain,
! [SV265: b,SV368: b > $o] :
( ( ( ~ ~ ( SV368 @ SV265 ) )
= $true )
| ( ( ~ ( SV368 @ SV265 ) )
= $false )
| ( ( ~ ~ ( SV368
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV368 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4580]) ).
thf(5046,plain,
! [SV265: b,SV371: b > $o] :
( ( ( ~ ~ ~ ( SV371 @ SV265 ) )
= $true )
| ( ( ~ ( SV371 @ SV265 ) )
= $true )
| ( ( ~ ~ ( SV371
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV371 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4577]) ).
thf(5047,plain,
! [SV265: b,SV374: b > $o] :
( ( ( ~ ~ ~ ~ ( SV374 @ SV265 ) )
= $true )
| ( ( ~ ( SV374 @ SV265 ) )
= $false )
| ( ( ~ ~ ( SV374
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV374 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4576]) ).
thf(5049,plain,
! [SV266: b,SV380: b > $o] :
( ( ( SV380 @ SV266 )
= $true )
| ( ( ~ ( SV380 @ SV266 ) )
= $false )
| ( ( ~ ~ ( SV380
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV380 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4594]) ).
thf(5052,plain,
! [SV266: b,SV383: b > $o] :
( ( ( ~ ( SV383 @ SV266 ) )
= $true )
| ( ( ~ ( SV383 @ SV266 ) )
= $true )
| ( ( ~ ~ ( SV383
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV383 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4591]) ).
thf(5053,plain,
! [SV266: b,SV386: b > $o] :
( ( ( ~ ~ ( SV386 @ SV266 ) )
= $true )
| ( ( ~ ( SV386 @ SV266 ) )
= $false )
| ( ( ~ ~ ( SV386
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV386 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4590]) ).
thf(5056,plain,
! [SV266: b,SV389: b > $o] :
( ( ( ~ ~ ~ ( SV389 @ SV266 ) )
= $true )
| ( ( ~ ( SV389 @ SV266 ) )
= $true )
| ( ( ~ ~ ( SV389
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV389 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4587]) ).
thf(5057,plain,
! [SV266: b,SV392: b > $o] :
( ( ( ~ ~ ~ ~ ( SV392 @ SV266 ) )
= $true )
| ( ( ~ ( SV392 @ SV266 ) )
= $false )
| ( ( ~ ~ ( SV392
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV392 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4586]) ).
thf(5059,plain,
! [SV99: b,SV398: b > $o] :
( ( ( SV398 @ SV99 )
= $true )
| ( ( ~ ( SV398 @ SV99 ) )
= $false )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV99 != SX0 )
| ~ ~ ( SV398 @ SX0 ) ) )
!= ( insert_b @ SV99 @ bot_bot_set_b ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4604]) ).
thf(5062,plain,
! [SV402: b > set_b,SV99: b,SV401: b > set_b] :
( ( ( ( SV401 @ SV99 )
= ( SV402 @ SV99 ) )
= $true )
| ( ( ( SV401 @ SV99 )
= ( SV402 @ SV99 ) )
= $true )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV99 != SX0 )
| ~ ( ( ( SV401 @ SX0 )
!= ( SV402 @ SX0 ) ) ) ) )
= ( insert_b @ SV99 @ bot_bot_set_b ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4601]) ).
thf(5063,plain,
! [SV490: b > set_b,SV489: b > b,SV99: b,SV449: b > b > $o] :
( ( ( ( collect_b @ ( SV449 @ SV99 ) )
= ( insert_b @ ( SV489 @ SV99 ) @ ( SV490 @ SV99 ) ) )
= $true )
| ( ( ( insert_b @ ( SV489 @ SV99 ) @ ( SV490 @ SV99 ) )
= ( insert_b @ SV99 @ bot_bot_set_b ) )
= $false )
| ( ( ( collect_b @ ( SV449 @ SV99 ) )
= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV99 != SX0 )
| ~ ( ( ( collect_b @ ( SV449 @ SX0 ) )
!= ( insert_b @ ( SV489 @ SX0 ) @ ( SV490 @ SX0 ) ) ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4600]) ).
thf(5064,plain,
! [SV486: b > set_b,SV485: b > b,SV99: b,SV454: b > b > $o] :
( ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV454 @ SV99 @ SX0 ) )
= ( insert_b @ ( SV485 @ SV99 ) @ ( SV486 @ SV99 ) ) )
= $true )
| ( ( ( insert_b @ ( SV485 @ SV99 ) @ ( SV486 @ SV99 ) )
= ( insert_b @ SV99 @ bot_bot_set_b ) )
= $false )
| ( ( ~ ( SV454 @ SV99
@ ( sK52_E
@ ^ [SX0: b] : ( insert_b @ ( SV485 @ SX0 ) @ ( SV486 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV454 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( ( SV99
!= ( sK52_E
@ ^ [SX0: b] : ( insert_b @ ( SV485 @ SX0 ) @ ( SV486 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV454 @ SX0 @ SX1 ) ) )
| ~ ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV454
@ ( sK52_E
@ ^ [SX1: b] : ( insert_b @ ( SV485 @ SX1 ) @ ( SV486 @ SX1 ) )
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( SV454 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( insert_b
@ ( SV485
@ ( sK52_E
@ ^ [SX0: b] : ( insert_b @ ( SV485 @ SX0 ) @ ( SV486 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV454 @ SX0 @ SX1 ) ) )
@ ( SV486
@ ( sK52_E
@ ^ [SX0: b] : ( insert_b @ ( SV485 @ SX0 ) @ ( SV486 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV454 @ SX0 @ SX1 ) ) ) ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4599]) ).
thf(5065,plain,
! [SV482: b > set_b,SV481: b > b,SV99: b,SV454: b > b > $o] :
( ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV454 @ SV99 @ SX0 ) )
= ( insert_b @ ( SV481 @ SV99 ) @ ( SV482 @ SV99 ) ) )
= $true )
| ( ( ( insert_b @ ( SV481 @ SV99 ) @ ( SV482 @ SV99 ) )
= ( insert_b @ SV99 @ bot_bot_set_b ) )
= $false )
| ( ( ~ ( SV454 @ SV99
@ ( sK52_E
@ ^ [SX0: b] : ( insert_b @ ( SV481 @ SX0 ) @ ( SV482 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV454 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ( ( SV99
!= ( sK52_E
@ ^ [SX0: b] : ( insert_b @ ( SV481 @ SX0 ) @ ( SV482 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV454 @ SX0 @ SX1 ) ) )
| ~ ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV454
@ ( sK52_E
@ ^ [SX1: b] : ( insert_b @ ( SV481 @ SX1 ) @ ( SV482 @ SX1 ) )
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( SV454 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( insert_b
@ ( SV481
@ ( sK52_E
@ ^ [SX0: b] : ( insert_b @ ( SV481 @ SX0 ) @ ( SV482 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV454 @ SX0 @ SX1 ) ) )
@ ( SV482
@ ( sK52_E
@ ^ [SX0: b] : ( insert_b @ ( SV481 @ SX0 ) @ ( SV482 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV454 @ SX0 @ SX1 ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4598]) ).
thf(5066,plain,
! [SV405: b > b > $o,SV446: b > set_b,SV99: b,SV445: b > b] :
( ( ( ( insert_b @ ( SV445 @ SV99 ) @ ( SV446 @ SV99 ) )
= ( collect_b @ ( SV405 @ SV99 ) ) )
= $true )
| ( ( ( insert_b @ ( SV445 @ SV99 ) @ ( SV446 @ SV99 ) )
= ( insert_b @ SV99 @ bot_bot_set_b ) )
= $false )
| ( ( ( collect_b @ ( SV405 @ SV99 ) )
= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV99 != SX0 )
| ~ ( ( ( insert_b @ ( SV445 @ SX0 ) @ ( SV446 @ SX0 ) )
!= ( collect_b @ ( SV405 @ SX0 ) ) ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4597]) ).
thf(5067,plain,
! [SV410: b > b > $o,SV442: b > set_b,SV99: b,SV441: b > b] :
( ( ( ( insert_b @ ( SV441 @ SV99 ) @ ( SV442 @ SV99 ) )
= ( collect_b
@ ^ [SX0: b] :
~ ( SV410 @ SV99 @ SX0 ) ) )
= $true )
| ( ( ( insert_b @ ( SV441 @ SV99 ) @ ( SV442 @ SV99 ) )
= ( insert_b @ SV99 @ bot_bot_set_b ) )
= $false )
| ( ( ~ ( SV410 @ SV99
@ ( sK51_E
@ ^ [SX0: b] : ( insert_b @ ( SV441 @ SX0 ) @ ( SV442 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV410 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( ( SV99
!= ( sK51_E
@ ^ [SX0: b] : ( insert_b @ ( SV441 @ SX0 ) @ ( SV442 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV410 @ SX0 @ SX1 ) ) )
| ~ ( ( ( insert_b
@ ( SV441
@ ( sK51_E
@ ^ [SX0: b] : ( insert_b @ ( SV441 @ SX0 ) @ ( SV442 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV410 @ SX0 @ SX1 ) ) )
@ ( SV442
@ ( sK51_E
@ ^ [SX0: b] : ( insert_b @ ( SV441 @ SX0 ) @ ( SV442 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV410 @ SX0 @ SX1 ) ) ) )
!= ( collect_b
@ ^ [SX0: b] :
~ ( SV410
@ ( sK51_E
@ ^ [SX1: b] : ( insert_b @ ( SV441 @ SX1 ) @ ( SV442 @ SX1 ) )
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( SV410 @ SX1 @ SX2 ) )
@ SX0 ) ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4596]) ).
thf(5068,plain,
! [SV410: b > b > $o,SV438: b > set_b,SV99: b,SV437: b > b] :
( ( ( ( insert_b @ ( SV437 @ SV99 ) @ ( SV438 @ SV99 ) )
= ( collect_b
@ ^ [SX0: b] :
~ ( SV410 @ SV99 @ SX0 ) ) )
= $true )
| ( ( ( insert_b @ ( SV437 @ SV99 ) @ ( SV438 @ SV99 ) )
= ( insert_b @ SV99 @ bot_bot_set_b ) )
= $false )
| ( ( ~ ( SV410 @ SV99
@ ( sK51_E
@ ^ [SX0: b] : ( insert_b @ ( SV437 @ SX0 ) @ ( SV438 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV410 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ( ( SV99
!= ( sK51_E
@ ^ [SX0: b] : ( insert_b @ ( SV437 @ SX0 ) @ ( SV438 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV410 @ SX0 @ SX1 ) ) )
| ~ ( ( ( insert_b
@ ( SV437
@ ( sK51_E
@ ^ [SX0: b] : ( insert_b @ ( SV437 @ SX0 ) @ ( SV438 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV410 @ SX0 @ SX1 ) ) )
@ ( SV438
@ ( sK51_E
@ ^ [SX0: b] : ( insert_b @ ( SV437 @ SX0 ) @ ( SV438 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV410 @ SX0 @ SX1 ) ) ) )
!= ( collect_b
@ ^ [SX0: b] :
~ ( SV410
@ ( sK51_E
@ ^ [SX1: b] : ( insert_b @ ( SV437 @ SX1 ) @ ( SV438 @ SX1 ) )
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( SV410 @ SX1 @ SX2 ) )
@ SX0 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4595]) ).
thf(5069,plain,
! [SV124: b,SV493: b > $o] :
( ( ( SV493 @ SV124 )
= $true )
| ( ( ~ ( SV493 @ SV124 ) )
= $false )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SX0 != SV124 )
| ~ ~ ( SV493 @ SX0 ) ) )
!= ( insert_b @ SV124 @ bot_bot_set_b ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4614]) ).
thf(5072,plain,
! [SV497: b > set_b,SV124: b,SV496: b > set_b] :
( ( ( ( SV496 @ SV124 )
= ( SV497 @ SV124 ) )
= $true )
| ( ( ( SV496 @ SV124 )
= ( SV497 @ SV124 ) )
= $true )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SX0 != SV124 )
| ~ ( ( ( SV496 @ SX0 )
!= ( SV497 @ SX0 ) ) ) ) )
= ( insert_b @ SV124 @ bot_bot_set_b ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4611]) ).
thf(5073,plain,
! [SV585: b > set_b,SV584: b > b,SV124: b,SV544: b > b > $o] :
( ( ( ( collect_b @ ( SV544 @ SV124 ) )
= ( insert_b @ ( SV584 @ SV124 ) @ ( SV585 @ SV124 ) ) )
= $true )
| ( ( ( insert_b @ ( SV584 @ SV124 ) @ ( SV585 @ SV124 ) )
= ( insert_b @ SV124 @ bot_bot_set_b ) )
= $false )
| ( ( ( collect_b @ ( SV544 @ SV124 ) )
= ( collect_b
@ ^ [SX0: b] :
~ ( ( SX0 != SV124 )
| ~ ( ( ( collect_b @ ( SV544 @ SX0 ) )
!= ( insert_b @ ( SV584 @ SX0 ) @ ( SV585 @ SX0 ) ) ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4610]) ).
thf(5074,plain,
! [SV581: b > set_b,SV580: b > b,SV124: b,SV549: b > b > $o] :
( ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV549 @ SV124 @ SX0 ) )
= ( insert_b @ ( SV580 @ SV124 ) @ ( SV581 @ SV124 ) ) )
= $true )
| ( ( ( insert_b @ ( SV580 @ SV124 ) @ ( SV581 @ SV124 ) )
= ( insert_b @ SV124 @ bot_bot_set_b ) )
= $false )
| ( ( ~ ( SV549 @ SV124
@ ( sK54_E
@ ^ [SX0: b] : ( insert_b @ ( SV580 @ SX0 ) @ ( SV581 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV549 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( ( ( sK54_E
@ ^ [SX0: b] : ( insert_b @ ( SV580 @ SX0 ) @ ( SV581 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV549 @ SX0 @ SX1 ) )
!= SV124 )
| ~ ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV549
@ ( sK54_E
@ ^ [SX1: b] : ( insert_b @ ( SV580 @ SX1 ) @ ( SV581 @ SX1 ) )
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( SV549 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( insert_b
@ ( SV580
@ ( sK54_E
@ ^ [SX0: b] : ( insert_b @ ( SV580 @ SX0 ) @ ( SV581 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV549 @ SX0 @ SX1 ) ) )
@ ( SV581
@ ( sK54_E
@ ^ [SX0: b] : ( insert_b @ ( SV580 @ SX0 ) @ ( SV581 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV549 @ SX0 @ SX1 ) ) ) ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4609]) ).
thf(5075,plain,
! [SV577: b > set_b,SV576: b > b,SV124: b,SV549: b > b > $o] :
( ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV549 @ SV124 @ SX0 ) )
= ( insert_b @ ( SV576 @ SV124 ) @ ( SV577 @ SV124 ) ) )
= $true )
| ( ( ( insert_b @ ( SV576 @ SV124 ) @ ( SV577 @ SV124 ) )
= ( insert_b @ SV124 @ bot_bot_set_b ) )
= $false )
| ( ( ~ ( SV549 @ SV124
@ ( sK54_E
@ ^ [SX0: b] : ( insert_b @ ( SV576 @ SX0 ) @ ( SV577 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV549 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ( ( ( sK54_E
@ ^ [SX0: b] : ( insert_b @ ( SV576 @ SX0 ) @ ( SV577 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV549 @ SX0 @ SX1 ) )
!= SV124 )
| ~ ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV549
@ ( sK54_E
@ ^ [SX1: b] : ( insert_b @ ( SV576 @ SX1 ) @ ( SV577 @ SX1 ) )
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( SV549 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( insert_b
@ ( SV576
@ ( sK54_E
@ ^ [SX0: b] : ( insert_b @ ( SV576 @ SX0 ) @ ( SV577 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV549 @ SX0 @ SX1 ) ) )
@ ( SV577
@ ( sK54_E
@ ^ [SX0: b] : ( insert_b @ ( SV576 @ SX0 ) @ ( SV577 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV549 @ SX0 @ SX1 ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4608]) ).
thf(5076,plain,
! [SV500: b > b > $o,SV541: b > set_b,SV124: b,SV540: b > b] :
( ( ( ( insert_b @ ( SV540 @ SV124 ) @ ( SV541 @ SV124 ) )
= ( collect_b @ ( SV500 @ SV124 ) ) )
= $true )
| ( ( ( insert_b @ ( SV540 @ SV124 ) @ ( SV541 @ SV124 ) )
= ( insert_b @ SV124 @ bot_bot_set_b ) )
= $false )
| ( ( ( collect_b @ ( SV500 @ SV124 ) )
= ( collect_b
@ ^ [SX0: b] :
~ ( ( SX0 != SV124 )
| ~ ( ( ( insert_b @ ( SV540 @ SX0 ) @ ( SV541 @ SX0 ) )
!= ( collect_b @ ( SV500 @ SX0 ) ) ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4607]) ).
thf(5077,plain,
! [SV505: b > b > $o,SV537: b > set_b,SV124: b,SV536: b > b] :
( ( ( ( insert_b @ ( SV536 @ SV124 ) @ ( SV537 @ SV124 ) )
= ( collect_b
@ ^ [SX0: b] :
~ ( SV505 @ SV124 @ SX0 ) ) )
= $true )
| ( ( ( insert_b @ ( SV536 @ SV124 ) @ ( SV537 @ SV124 ) )
= ( insert_b @ SV124 @ bot_bot_set_b ) )
= $false )
| ( ( ~ ( SV505 @ SV124
@ ( sK53_E
@ ^ [SX0: b] : ( insert_b @ ( SV536 @ SX0 ) @ ( SV537 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV505 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( ( ( sK53_E
@ ^ [SX0: b] : ( insert_b @ ( SV536 @ SX0 ) @ ( SV537 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV505 @ SX0 @ SX1 ) )
!= SV124 )
| ~ ( ( ( insert_b
@ ( SV536
@ ( sK53_E
@ ^ [SX0: b] : ( insert_b @ ( SV536 @ SX0 ) @ ( SV537 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV505 @ SX0 @ SX1 ) ) )
@ ( SV537
@ ( sK53_E
@ ^ [SX0: b] : ( insert_b @ ( SV536 @ SX0 ) @ ( SV537 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV505 @ SX0 @ SX1 ) ) ) )
!= ( collect_b
@ ^ [SX0: b] :
~ ( SV505
@ ( sK53_E
@ ^ [SX1: b] : ( insert_b @ ( SV536 @ SX1 ) @ ( SV537 @ SX1 ) )
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( SV505 @ SX1 @ SX2 ) )
@ SX0 ) ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4606]) ).
thf(5078,plain,
! [SV505: b > b > $o,SV533: b > set_b,SV124: b,SV532: b > b] :
( ( ( ( insert_b @ ( SV532 @ SV124 ) @ ( SV533 @ SV124 ) )
= ( collect_b
@ ^ [SX0: b] :
~ ( SV505 @ SV124 @ SX0 ) ) )
= $true )
| ( ( ( insert_b @ ( SV532 @ SV124 ) @ ( SV533 @ SV124 ) )
= ( insert_b @ SV124 @ bot_bot_set_b ) )
= $false )
| ( ( ~ ( SV505 @ SV124
@ ( sK53_E
@ ^ [SX0: b] : ( insert_b @ ( SV532 @ SX0 ) @ ( SV533 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV505 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ( ( ( sK53_E
@ ^ [SX0: b] : ( insert_b @ ( SV532 @ SX0 ) @ ( SV533 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV505 @ SX0 @ SX1 ) )
!= SV124 )
| ~ ( ( ( insert_b
@ ( SV532
@ ( sK53_E
@ ^ [SX0: b] : ( insert_b @ ( SV532 @ SX0 ) @ ( SV533 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV505 @ SX0 @ SX1 ) ) )
@ ( SV533
@ ( sK53_E
@ ^ [SX0: b] : ( insert_b @ ( SV532 @ SX0 ) @ ( SV533 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV505 @ SX0 @ SX1 ) ) ) )
!= ( collect_b
@ ^ [SX0: b] :
~ ( SV505
@ ( sK53_E
@ ^ [SX1: b] : ( insert_b @ ( SV532 @ SX1 ) @ ( SV533 @ SX1 ) )
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( SV505 @ SX1 @ SX2 ) )
@ SX0 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4605]) ).
thf(5079,plain,
! [SV267: b,SV588: b > $o] :
( ( ( SV588 @ SV267 )
= $true )
| ( ( ~ ( SV588 @ SV267 ) )
= $false )
| ( ( ~ ~ ( SV588
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV588 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4624]) ).
thf(5082,plain,
! [SV267: b,SV591: b > $o] :
( ( ( ~ ( SV591 @ SV267 ) )
= $true )
| ( ( ~ ( SV591 @ SV267 ) )
= $true )
| ( ( ~ ~ ( SV591
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV591 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4621]) ).
thf(5083,plain,
! [SV267: b,SV594: b > $o] :
( ( ( ~ ~ ( SV594 @ SV267 ) )
= $true )
| ( ( ~ ( SV594 @ SV267 ) )
= $false )
| ( ( ~ ~ ( SV594
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV594 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4620]) ).
thf(5086,plain,
! [SV267: b,SV597: b > $o] :
( ( ( ~ ~ ~ ( SV597 @ SV267 ) )
= $true )
| ( ( ~ ( SV597 @ SV267 ) )
= $true )
| ( ( ~ ~ ( SV597
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV597 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4617]) ).
thf(5087,plain,
! [SV267: b,SV600: b > $o] :
( ( ( ~ ~ ~ ~ ( SV600 @ SV267 ) )
= $true )
| ( ( ~ ( SV600 @ SV267 ) )
= $false )
| ( ( ~ ~ ( SV600
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV600 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4616]) ).
thf(5089,plain,
! [SV99: b,SV681: b > b > $o] :
( ( ( SV681 @ SV99
@ ( sK56_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV681 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV681 @ SV99 @ SX0 ) )
= bot_bot_set_b )
= $true )
| ( ( ~ ( ( SV99
!= ( sK56_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV681 @ SX0 @ SX1 ) ) )
| ( ( collect_b
@ ^ [SX0: b] :
~ ( SV681
@ ( sK56_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( SV681 @ SX1 @ SX2 ) )
@ SX0 ) )
!= bot_bot_set_b ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4633]) ).
thf(5090,plain,
! [SV99: b,SV681: b > b > $o] :
( ( ( SV681 @ SV99
@ ( sK56_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV681 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV681 @ SV99 @ SX0 ) )
= bot_bot_set_b )
= $true )
| ( ( ~ ( ( SV99
!= ( sK56_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV681 @ SX0 @ SX1 ) ) )
| ( ( collect_b
@ ^ [SX0: b] :
~ ( SV681
@ ( sK56_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( SV681 @ SX1 @ SX2 ) )
@ SX0 ) )
!= bot_bot_set_b ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4632]) ).
thf(5091,plain,
! [SV687: b > b > $o,SV99: b,SV686: b > b > $o] :
( ( ( SV686 @ SV99
@ ( sK56_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV686 @ SX0 @ SX1 )
| ( SV687 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV686 @ SV99 @ SX0 )
| ( SV687 @ SV99 @ SX0 ) ) )
= bot_bot_set_b )
= $true )
| ( ( ( SV99
!= ( sK56_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV686 @ SX0 @ SX1 )
| ( SV687 @ SX0 @ SX1 ) ) ) )
| ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV686
@ ( sK56_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( ( SV686 @ SX1 @ SX2 )
| ( SV687 @ SX1 @ SX2 ) ) )
@ SX0 )
| ( SV687
@ ( sK56_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( ( SV686 @ SX1 @ SX2 )
| ( SV687 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
!= bot_bot_set_b ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4631]) ).
thf(5092,plain,
! [SV686: b > b > $o,SV99: b,SV687: b > b > $o] :
( ( ( SV687 @ SV99
@ ( sK56_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV686 @ SX0 @ SX1 )
| ( SV687 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV686 @ SV99 @ SX0 )
| ( SV687 @ SV99 @ SX0 ) ) )
= bot_bot_set_b )
= $true )
| ( ( ( SV99
!= ( sK56_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV686 @ SX0 @ SX1 )
| ( SV687 @ SX0 @ SX1 ) ) ) )
| ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV686
@ ( sK56_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( ( SV686 @ SX1 @ SX2 )
| ( SV687 @ SX1 @ SX2 ) ) )
@ SX0 )
| ( SV687
@ ( sK56_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( ( SV686 @ SX1 @ SX2 )
| ( SV687 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
!= bot_bot_set_b ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4631]) ).
thf(5093,plain,
! [SV687: b > b > $o,SV99: b,SV686: b > b > $o] :
( ( ( SV686 @ SV99
@ ( sK56_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV686 @ SX0 @ SX1 )
| ( SV687 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV687 @ SV99
@ ( sK56_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV686 @ SX0 @ SX1 )
| ( SV687 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV686 @ SV99 @ SX0 )
| ( SV687 @ SV99 @ SX0 ) ) )
= bot_bot_set_b )
= $true )
| ( ( ( SV99
!= ( sK56_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV686 @ SX0 @ SX1 )
| ( SV687 @ SX0 @ SX1 ) ) ) )
| ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV686
@ ( sK56_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( ( SV686 @ SX1 @ SX2 )
| ( SV687 @ SX1 @ SX2 ) ) )
@ SX0 )
| ( SV687
@ ( sK56_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( ( SV686 @ SX1 @ SX2 )
| ( SV687 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
!= bot_bot_set_b ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4630]) ).
thf(5094,plain,
! [SV99: b,SV615: b > b > $o] :
( ( ( SV615 @ SV99
@ ( sK55_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV615 @ SX0 @ SX1 ) ) )
= $true )
| ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( SV615 @ SV99 @ SX0 ) ) )
= $true )
| ( ( ~ ( ( SV99
!= ( sK55_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV615 @ SX0 @ SX1 ) ) )
| ( bot_bot_set_b
!= ( collect_b
@ ^ [SX0: b] :
~ ( SV615
@ ( sK55_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( SV615 @ SX1 @ SX2 ) )
@ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4628]) ).
thf(5095,plain,
! [SV99: b,SV615: b > b > $o] :
( ( ( SV615 @ SV99
@ ( sK55_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV615 @ SX0 @ SX1 ) ) )
= $false )
| ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( SV615 @ SV99 @ SX0 ) ) )
= $true )
| ( ( ~ ( ( SV99
!= ( sK55_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV615 @ SX0 @ SX1 ) ) )
| ( bot_bot_set_b
!= ( collect_b
@ ^ [SX0: b] :
~ ( SV615
@ ( sK55_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( SV615 @ SX1 @ SX2 ) )
@ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4627]) ).
thf(5096,plain,
! [SV621: b > b > $o,SV99: b,SV620: b > b > $o] :
( ( ( SV620 @ SV99
@ ( sK55_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV620 @ SX0 @ SX1 )
| ( SV621 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV620 @ SV99 @ SX0 )
| ( SV621 @ SV99 @ SX0 ) ) ) )
= $true )
| ( ( ( SV99
!= ( sK55_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV620 @ SX0 @ SX1 )
| ( SV621 @ SX0 @ SX1 ) ) ) )
| ( bot_bot_set_b
!= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV620
@ ( sK55_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( ( SV620 @ SX1 @ SX2 )
| ( SV621 @ SX1 @ SX2 ) ) )
@ SX0 )
| ( SV621
@ ( sK55_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( ( SV620 @ SX1 @ SX2 )
| ( SV621 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4626]) ).
thf(5097,plain,
! [SV620: b > b > $o,SV99: b,SV621: b > b > $o] :
( ( ( SV621 @ SV99
@ ( sK55_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV620 @ SX0 @ SX1 )
| ( SV621 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV620 @ SV99 @ SX0 )
| ( SV621 @ SV99 @ SX0 ) ) ) )
= $true )
| ( ( ( SV99
!= ( sK55_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV620 @ SX0 @ SX1 )
| ( SV621 @ SX0 @ SX1 ) ) ) )
| ( bot_bot_set_b
!= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV620
@ ( sK55_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( ( SV620 @ SX1 @ SX2 )
| ( SV621 @ SX1 @ SX2 ) ) )
@ SX0 )
| ( SV621
@ ( sK55_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( ( SV620 @ SX1 @ SX2 )
| ( SV621 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4626]) ).
thf(5098,plain,
! [SV621: b > b > $o,SV99: b,SV620: b > b > $o] :
( ( ( SV620 @ SV99
@ ( sK55_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV620 @ SX0 @ SX1 )
| ( SV621 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV621 @ SV99
@ ( sK55_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV620 @ SX0 @ SX1 )
| ( SV621 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV620 @ SV99 @ SX0 )
| ( SV621 @ SV99 @ SX0 ) ) ) )
= $true )
| ( ( ( SV99
!= ( sK55_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV620 @ SX0 @ SX1 )
| ( SV621 @ SX0 @ SX1 ) ) ) )
| ( bot_bot_set_b
!= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV620
@ ( sK55_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( ( SV620 @ SX1 @ SX2 )
| ( SV621 @ SX1 @ SX2 ) ) )
@ SX0 )
| ( SV621
@ ( sK55_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( ( SV620 @ SX1 @ SX2 )
| ( SV621 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4625]) ).
thf(5109,plain,
! [SV268: b,SV760: b > $o] :
( ( ( SV760 @ SV268 )
= $true )
| ( ( ~ ( SV760 @ SV268 ) )
= $false )
| ( ( ~ ~ ( SV760
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV760 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4656]) ).
thf(5112,plain,
! [SV268: b,SV763: b > $o] :
( ( ( ~ ( SV763 @ SV268 ) )
= $true )
| ( ( ~ ( SV763 @ SV268 ) )
= $true )
| ( ( ~ ~ ( SV763
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV763 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4653]) ).
thf(5113,plain,
! [SV268: b,SV766: b > $o] :
( ( ( ~ ~ ( SV766 @ SV268 ) )
= $true )
| ( ( ~ ( SV766 @ SV268 ) )
= $false )
| ( ( ~ ~ ( SV766
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV766 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4652]) ).
thf(5116,plain,
! [SV268: b,SV769: b > $o] :
( ( ( ~ ~ ~ ( SV769 @ SV268 ) )
= $true )
| ( ( ~ ( SV769 @ SV268 ) )
= $true )
| ( ( ~ ~ ( SV769
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV769 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4649]) ).
thf(5117,plain,
! [SV268: b,SV772: b > $o] :
( ( ( ~ ~ ~ ~ ( SV772 @ SV268 ) )
= $true )
| ( ( ~ ( SV772 @ SV268 ) )
= $false )
| ( ( ~ ~ ( SV772
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV772 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4648]) ).
thf(5129,plain,
! [SV269: b,SV796: b > $o] :
( ( ( SV796 @ SV269 )
= $true )
| ( ( ~ ( SV796 @ SV269 ) )
= $false )
| ( ( ~ ~ ( SV796
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV796 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4676]) ).
thf(5132,plain,
! [SV269: b,SV799: b > $o] :
( ( ( ~ ( SV799 @ SV269 ) )
= $true )
| ( ( ~ ( SV799 @ SV269 ) )
= $true )
| ( ( ~ ~ ( SV799
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV799 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4673]) ).
thf(5133,plain,
! [SV269: b,SV802: b > $o] :
( ( ( ~ ~ ( SV802 @ SV269 ) )
= $true )
| ( ( ~ ( SV802 @ SV269 ) )
= $false )
| ( ( ~ ~ ( SV802
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV802 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4672]) ).
thf(5136,plain,
! [SV269: b,SV805: b > $o] :
( ( ( ~ ~ ~ ( SV805 @ SV269 ) )
= $true )
| ( ( ~ ( SV805 @ SV269 ) )
= $true )
| ( ( ~ ~ ( SV805
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV805 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4669]) ).
thf(5137,plain,
! [SV269: b,SV808: b > $o] :
( ( ( ~ ~ ~ ~ ( SV808 @ SV269 ) )
= $true )
| ( ( ~ ( SV808 @ SV269 ) )
= $false )
| ( ( ~ ~ ( SV808
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV808 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4668]) ).
thf(5139,plain,
! [SV270: b,SV814: b > $o] :
( ( ( SV814 @ SV270 )
= $true )
| ( ( ~ ( SV814 @ SV270 ) )
= $false )
| ( ( ~ ~ ( SV814
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV814 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4686]) ).
thf(5142,plain,
! [SV270: b,SV817: b > $o] :
( ( ( ~ ( SV817 @ SV270 ) )
= $true )
| ( ( ~ ( SV817 @ SV270 ) )
= $true )
| ( ( ~ ~ ( SV817
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV817 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4683]) ).
thf(5143,plain,
! [SV270: b,SV820: b > $o] :
( ( ( ~ ~ ( SV820 @ SV270 ) )
= $true )
| ( ( ~ ( SV820 @ SV270 ) )
= $false )
| ( ( ~ ~ ( SV820
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV820 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4682]) ).
thf(5146,plain,
! [SV270: b,SV823: b > $o] :
( ( ( ~ ~ ~ ( SV823 @ SV270 ) )
= $true )
| ( ( ~ ( SV823 @ SV270 ) )
= $true )
| ( ( ~ ~ ( SV823
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV823 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4679]) ).
thf(5147,plain,
! [SV270: b,SV826: b > $o] :
( ( ( ~ ~ ~ ~ ( SV826 @ SV270 ) )
= $true )
| ( ( ~ ( SV826 @ SV270 ) )
= $false )
| ( ( ~ ~ ( SV826
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV826 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4678]) ).
thf(5149,plain,
! [SV124: b,SV907: b > b > $o] :
( ( ( SV907 @ SV124
@ ( sK58_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV907 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV907 @ SV124 @ SX0 ) )
= bot_bot_set_b )
= $true )
| ( ( ~ ( ( ( sK58_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV907 @ SX0 @ SX1 ) )
!= SV124 )
| ( ( collect_b
@ ^ [SX0: b] :
~ ( SV907
@ ( sK58_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( SV907 @ SX1 @ SX2 ) )
@ SX0 ) )
!= bot_bot_set_b ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4695]) ).
thf(5150,plain,
! [SV124: b,SV907: b > b > $o] :
( ( ( SV907 @ SV124
@ ( sK58_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV907 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV907 @ SV124 @ SX0 ) )
= bot_bot_set_b )
= $true )
| ( ( ~ ( ( ( sK58_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV907 @ SX0 @ SX1 ) )
!= SV124 )
| ( ( collect_b
@ ^ [SX0: b] :
~ ( SV907
@ ( sK58_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( SV907 @ SX1 @ SX2 ) )
@ SX0 ) )
!= bot_bot_set_b ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4694]) ).
thf(5151,plain,
! [SV913: b > b > $o,SV124: b,SV912: b > b > $o] :
( ( ( SV912 @ SV124
@ ( sK58_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV912 @ SX0 @ SX1 )
| ( SV913 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV912 @ SV124 @ SX0 )
| ( SV913 @ SV124 @ SX0 ) ) )
= bot_bot_set_b )
= $true )
| ( ( ( ( sK58_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV912 @ SX0 @ SX1 )
| ( SV913 @ SX0 @ SX1 ) ) )
!= SV124 )
| ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV912
@ ( sK58_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( ( SV912 @ SX1 @ SX2 )
| ( SV913 @ SX1 @ SX2 ) ) )
@ SX0 )
| ( SV913
@ ( sK58_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( ( SV912 @ SX1 @ SX2 )
| ( SV913 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
!= bot_bot_set_b ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4693]) ).
thf(5152,plain,
! [SV912: b > b > $o,SV124: b,SV913: b > b > $o] :
( ( ( SV913 @ SV124
@ ( sK58_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV912 @ SX0 @ SX1 )
| ( SV913 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV912 @ SV124 @ SX0 )
| ( SV913 @ SV124 @ SX0 ) ) )
= bot_bot_set_b )
= $true )
| ( ( ( ( sK58_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV912 @ SX0 @ SX1 )
| ( SV913 @ SX0 @ SX1 ) ) )
!= SV124 )
| ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV912
@ ( sK58_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( ( SV912 @ SX1 @ SX2 )
| ( SV913 @ SX1 @ SX2 ) ) )
@ SX0 )
| ( SV913
@ ( sK58_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( ( SV912 @ SX1 @ SX2 )
| ( SV913 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
!= bot_bot_set_b ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4693]) ).
thf(5153,plain,
! [SV913: b > b > $o,SV124: b,SV912: b > b > $o] :
( ( ( SV912 @ SV124
@ ( sK58_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV912 @ SX0 @ SX1 )
| ( SV913 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV913 @ SV124
@ ( sK58_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV912 @ SX0 @ SX1 )
| ( SV913 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV912 @ SV124 @ SX0 )
| ( SV913 @ SV124 @ SX0 ) ) )
= bot_bot_set_b )
= $true )
| ( ( ( ( sK58_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV912 @ SX0 @ SX1 )
| ( SV913 @ SX0 @ SX1 ) ) )
!= SV124 )
| ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV912
@ ( sK58_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( ( SV912 @ SX1 @ SX2 )
| ( SV913 @ SX1 @ SX2 ) ) )
@ SX0 )
| ( SV913
@ ( sK58_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( ( SV912 @ SX1 @ SX2 )
| ( SV913 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
!= bot_bot_set_b ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4692]) ).
thf(5154,plain,
! [SV124: b,SV841: b > b > $o] :
( ( ( SV841 @ SV124
@ ( sK57_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV841 @ SX0 @ SX1 ) ) )
= $true )
| ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( SV841 @ SV124 @ SX0 ) ) )
= $true )
| ( ( ~ ( ( ( sK57_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV841 @ SX0 @ SX1 ) )
!= SV124 )
| ( bot_bot_set_b
!= ( collect_b
@ ^ [SX0: b] :
~ ( SV841
@ ( sK57_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( SV841 @ SX1 @ SX2 ) )
@ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4690]) ).
thf(5155,plain,
! [SV124: b,SV841: b > b > $o] :
( ( ( SV841 @ SV124
@ ( sK57_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV841 @ SX0 @ SX1 ) ) )
= $false )
| ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( SV841 @ SV124 @ SX0 ) ) )
= $true )
| ( ( ~ ( ( ( sK57_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV841 @ SX0 @ SX1 ) )
!= SV124 )
| ( bot_bot_set_b
!= ( collect_b
@ ^ [SX0: b] :
~ ( SV841
@ ( sK57_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( SV841 @ SX1 @ SX2 ) )
@ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4689]) ).
thf(5156,plain,
! [SV847: b > b > $o,SV124: b,SV846: b > b > $o] :
( ( ( SV846 @ SV124
@ ( sK57_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV846 @ SX0 @ SX1 )
| ( SV847 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV846 @ SV124 @ SX0 )
| ( SV847 @ SV124 @ SX0 ) ) ) )
= $true )
| ( ( ( ( sK57_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV846 @ SX0 @ SX1 )
| ( SV847 @ SX0 @ SX1 ) ) )
!= SV124 )
| ( bot_bot_set_b
!= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV846
@ ( sK57_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( ( SV846 @ SX1 @ SX2 )
| ( SV847 @ SX1 @ SX2 ) ) )
@ SX0 )
| ( SV847
@ ( sK57_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( ( SV846 @ SX1 @ SX2 )
| ( SV847 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4688]) ).
thf(5157,plain,
! [SV846: b > b > $o,SV124: b,SV847: b > b > $o] :
( ( ( SV847 @ SV124
@ ( sK57_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV846 @ SX0 @ SX1 )
| ( SV847 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV846 @ SV124 @ SX0 )
| ( SV847 @ SV124 @ SX0 ) ) ) )
= $true )
| ( ( ( ( sK57_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV846 @ SX0 @ SX1 )
| ( SV847 @ SX0 @ SX1 ) ) )
!= SV124 )
| ( bot_bot_set_b
!= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV846
@ ( sK57_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( ( SV846 @ SX1 @ SX2 )
| ( SV847 @ SX1 @ SX2 ) ) )
@ SX0 )
| ( SV847
@ ( sK57_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( ( SV846 @ SX1 @ SX2 )
| ( SV847 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4688]) ).
thf(5158,plain,
! [SV847: b > b > $o,SV124: b,SV846: b > b > $o] :
( ( ( SV846 @ SV124
@ ( sK57_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV846 @ SX0 @ SX1 )
| ( SV847 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV847 @ SV124
@ ( sK57_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV846 @ SX0 @ SX1 )
| ( SV847 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV846 @ SV124 @ SX0 )
| ( SV847 @ SV124 @ SX0 ) ) ) )
= $true )
| ( ( ( ( sK57_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV846 @ SX0 @ SX1 )
| ( SV847 @ SX0 @ SX1 ) ) )
!= SV124 )
| ( bot_bot_set_b
!= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV846
@ ( sK57_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( ( SV846 @ SX1 @ SX2 )
| ( SV847 @ SX1 @ SX2 ) ) )
@ SX0 )
| ( SV847
@ ( sK57_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( ( SV846 @ SX1 @ SX2 )
| ( SV847 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4687]) ).
thf(5160,plain,
! [SV19: b,SV968: b > $o] :
( ( ( SV968 @ SV19 )
= $false )
| ( ( ~ ( SV968 @ SV19 ) )
= $true )
| ( ( ~ ( member_b @ SV19
@ ( collect_b
@ ^ [SX0: b] :
~ ( SV968 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4701]) ).
thf(5161,plain,
! [SV972: b > set_b,SV19: b,SV971: b > b] :
( ( ( member_b @ ( SV971 @ SV19 ) @ ( SV972 @ SV19 ) )
= $false )
| ( ( member_b @ ( SV971 @ SV19 ) @ ( SV972 @ SV19 ) )
= $false )
| ( ( member_b @ SV19
@ ( collect_b
@ ^ [SX0: b] :
~ ( member_b @ ( SV971 @ SX0 ) @ ( SV972 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4700]) ).
thf(5163,plain,
! [SV19: b,SV975: b > $o] :
( ( ( SV975 @ SV19 )
= $true )
| ( ( ~ ( SV975 @ SV19 ) )
= $false )
| ( ( ~ ( member_b @ SV19
@ ( collect_b
@ ^ [SX0: b] :
~ ( SV975 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4706]) ).
thf(5166,plain,
! [SV979: b > set_b,SV19: b,SV978: b > b] :
( ( ( member_b @ ( SV978 @ SV19 ) @ ( SV979 @ SV19 ) )
= $true )
| ( ( member_b @ ( SV978 @ SV19 ) @ ( SV979 @ SV19 ) )
= $true )
| ( ( member_b @ SV19
@ ( collect_b
@ ^ [SX0: b] :
~ ( member_b @ ( SV978 @ SX0 ) @ ( SV979 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4703]) ).
thf(5167,plain,
! [SV273: b,SV982: b > $o] :
( ( ( SV982 @ SV273 )
= $true )
| ( ( ~ ( SV982 @ SV273 ) )
= $false )
| ( ( ~ ~ ( SV982
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV982 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4716]) ).
thf(5170,plain,
! [SV273: b,SV985: b > $o] :
( ( ( ~ ( SV985 @ SV273 ) )
= $true )
| ( ( ~ ( SV985 @ SV273 ) )
= $true )
| ( ( ~ ~ ( SV985
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV985 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4713]) ).
thf(5171,plain,
! [SV273: b,SV988: b > $o] :
( ( ( ~ ~ ( SV988 @ SV273 ) )
= $true )
| ( ( ~ ( SV988 @ SV273 ) )
= $false )
| ( ( ~ ~ ( SV988
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV988 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4712]) ).
thf(5174,plain,
! [SV273: b,SV991: b > $o] :
( ( ( ~ ~ ~ ( SV991 @ SV273 ) )
= $true )
| ( ( ~ ( SV991 @ SV273 ) )
= $true )
| ( ( ~ ~ ( SV991
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV991 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4709]) ).
thf(5175,plain,
! [SV273: b,SV994: b > $o] :
( ( ( ~ ~ ~ ~ ( SV994 @ SV273 ) )
= $true )
| ( ( ~ ( SV994 @ SV273 ) )
= $false )
| ( ( ~ ~ ( SV994
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV994 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4708]) ).
thf(5177,plain,
! [SV274: b,SV1000: b > $o] :
( ( ( SV1000 @ SV274 )
= $true )
| ( ( ~ ( SV1000 @ SV274 ) )
= $false )
| ( ( ~ ~ ( SV1000
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1000 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4726]) ).
thf(5180,plain,
! [SV274: b,SV1003: b > $o] :
( ( ( ~ ( SV1003 @ SV274 ) )
= $true )
| ( ( ~ ( SV1003 @ SV274 ) )
= $true )
| ( ( ~ ~ ( SV1003
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1003 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4723]) ).
thf(5181,plain,
! [SV274: b,SV1006: b > $o] :
( ( ( ~ ~ ( SV1006 @ SV274 ) )
= $true )
| ( ( ~ ( SV1006 @ SV274 ) )
= $false )
| ( ( ~ ~ ( SV1006
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1006 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4722]) ).
thf(5184,plain,
! [SV274: b,SV1009: b > $o] :
( ( ( ~ ~ ~ ( SV1009 @ SV274 ) )
= $true )
| ( ( ~ ( SV1009 @ SV274 ) )
= $true )
| ( ( ~ ~ ( SV1009
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1009 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4719]) ).
thf(5185,plain,
! [SV274: b,SV1012: b > $o] :
( ( ( ~ ~ ~ ~ ( SV1012 @ SV274 ) )
= $true )
| ( ( ~ ( SV1012 @ SV274 ) )
= $false )
| ( ( ~ ~ ( SV1012
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1012 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4718]) ).
thf(5187,plain,
! [SV277: b,SV1018: b > $o] :
( ( ( SV1018 @ SV277 )
= $true )
| ( ( ~ ( SV1018 @ SV277 ) )
= $false )
| ( ( ~ ~ ( SV1018
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1018 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4738]) ).
thf(5190,plain,
! [SV277: b,SV1021: b > $o] :
( ( ( ~ ( SV1021 @ SV277 ) )
= $true )
| ( ( ~ ( SV1021 @ SV277 ) )
= $true )
| ( ( ~ ~ ( SV1021
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1021 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4735]) ).
thf(5191,plain,
! [SV277: b,SV1024: b > $o] :
( ( ( ~ ~ ( SV1024 @ SV277 ) )
= $true )
| ( ( ~ ( SV1024 @ SV277 ) )
= $false )
| ( ( ~ ~ ( SV1024
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1024 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4734]) ).
thf(5194,plain,
! [SV277: b,SV1027: b > $o] :
( ( ( ~ ~ ~ ( SV1027 @ SV277 ) )
= $true )
| ( ( ~ ( SV1027 @ SV277 ) )
= $true )
| ( ( ~ ~ ( SV1027
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1027 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4731]) ).
thf(5195,plain,
! [SV277: b,SV1030: b > $o] :
( ( ( ~ ~ ~ ~ ( SV1030 @ SV277 ) )
= $true )
| ( ( ~ ( SV1030 @ SV277 ) )
= $false )
| ( ( ~ ~ ( SV1030
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1030 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4730]) ).
thf(5197,plain,
! [SV278: b,SV1036: b > $o] :
( ( ( SV1036 @ SV278 )
= $true )
| ( ( ~ ( SV1036 @ SV278 ) )
= $false )
| ( ( ~ ~ ( SV1036
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1036 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4748]) ).
thf(5200,plain,
! [SV278: b,SV1039: b > $o] :
( ( ( ~ ( SV1039 @ SV278 ) )
= $true )
| ( ( ~ ( SV1039 @ SV278 ) )
= $true )
| ( ( ~ ~ ( SV1039
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1039 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4745]) ).
thf(5201,plain,
! [SV278: b,SV1042: b > $o] :
( ( ( ~ ~ ( SV1042 @ SV278 ) )
= $true )
| ( ( ~ ( SV1042 @ SV278 ) )
= $false )
| ( ( ~ ~ ( SV1042
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1042 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4744]) ).
thf(5204,plain,
! [SV278: b,SV1045: b > $o] :
( ( ( ~ ~ ~ ( SV1045 @ SV278 ) )
= $true )
| ( ( ~ ( SV1045 @ SV278 ) )
= $true )
| ( ( ~ ~ ( SV1045
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1045 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4741]) ).
thf(5205,plain,
! [SV278: b,SV1048: b > $o] :
( ( ( ~ ~ ~ ~ ( SV1048 @ SV278 ) )
= $true )
| ( ( ~ ( SV1048 @ SV278 ) )
= $false )
| ( ( ~ ~ ( SV1048
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1048 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4740]) ).
thf(5207,plain,
! [SV279: b,SV1314: b > $o] :
( ( ( SV1314 @ SV279 )
= $true )
| ( ( ~ ( SV1314 @ SV279 ) )
= $false )
| ( ( ~ ~ ( SV1314
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1314 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4777]) ).
thf(5210,plain,
! [SV279: b,SV1317: b > $o] :
( ( ( ~ ( SV1317 @ SV279 ) )
= $true )
| ( ( ~ ( SV1317 @ SV279 ) )
= $true )
| ( ( ~ ~ ( SV1317
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1317 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4774]) ).
thf(5211,plain,
! [SV279: b,SV1320: b > $o] :
( ( ( ~ ~ ( SV1320 @ SV279 ) )
= $true )
| ( ( ~ ( SV1320 @ SV279 ) )
= $false )
| ( ( ~ ~ ( SV1320
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1320 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4773]) ).
thf(5214,plain,
! [SV279: b,SV1323: b > $o] :
( ( ( ~ ~ ~ ( SV1323 @ SV279 ) )
= $true )
| ( ( ~ ( SV1323 @ SV279 ) )
= $true )
| ( ( ~ ~ ( SV1323
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1323 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4770]) ).
thf(5215,plain,
! [SV279: b,SV1326: b > $o] :
( ( ( ~ ~ ~ ~ ( SV1326 @ SV279 ) )
= $true )
| ( ( ~ ( SV1326 @ SV279 ) )
= $false )
| ( ( ~ ~ ( SV1326
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1326 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4769]) ).
thf(5218,plain,
! [SV1332: b > $o] :
( ( ( SV1332
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ( SV1332 @ SX0 ) ) )
= $false )
| ( ( ~ ( SV1332
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ( SV1332 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ( SV1332
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1332 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4786]) ).
thf(5219,plain,
! [SV1335: b > $o] :
( ( ( ~ ( SV1335
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ( SV1335 @ SX0 ) ) ) )
= $false )
| ( ( ~ ( SV1335
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ( SV1335 @ SX0 ) ) ) )
= $false )
| ( ( ~ ~ ( SV1335
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1335 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4785]) ).
thf(5222,plain,
! [SV1338: b > $o] :
( ( ( ~ ~ ( SV1338
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ~ ( SV1338 @ SX0 ) ) ) )
= $false )
| ( ( ~ ( SV1338
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ~ ( SV1338 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ( SV1338
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1338 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4782]) ).
thf(5223,plain,
! [SV1341: b > $o] :
( ( ( ~ ~ ~ ( SV1341
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1341 @ SX0 ) ) ) )
= $false )
| ( ( ~ ( SV1341
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1341 @ SX0 ) ) ) )
= $false )
| ( ( ~ ~ ( SV1341
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1341 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4781]) ).
thf(5226,plain,
! [SV1344: b > $o] :
( ( ( ~ ~ ~ ~ ( SV1344
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1344 @ SX0 ) ) ) )
= $false )
| ( ( ~ ( SV1344
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1344 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ( SV1344
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1344 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4778]) ).
thf(5227,plain,
! [SV280: b,SV1350: b > $o] :
( ( ( SV1350 @ SV280 )
= $true )
| ( ( ~ ( SV1350 @ SV280 ) )
= $false )
| ( ( ~ ~ ( SV1350
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1350 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4797]) ).
thf(5230,plain,
! [SV280: b,SV1353: b > $o] :
( ( ( ~ ( SV1353 @ SV280 ) )
= $true )
| ( ( ~ ( SV1353 @ SV280 ) )
= $true )
| ( ( ~ ~ ( SV1353
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1353 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4794]) ).
thf(5231,plain,
! [SV280: b,SV1356: b > $o] :
( ( ( ~ ~ ( SV1356 @ SV280 ) )
= $true )
| ( ( ~ ( SV1356 @ SV280 ) )
= $false )
| ( ( ~ ~ ( SV1356
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1356 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4793]) ).
thf(5234,plain,
! [SV280: b,SV1359: b > $o] :
( ( ( ~ ~ ~ ( SV1359 @ SV280 ) )
= $true )
| ( ( ~ ( SV1359 @ SV280 ) )
= $true )
| ( ( ~ ~ ( SV1359
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1359 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4790]) ).
thf(5235,plain,
! [SV280: b,SV1362: b > $o] :
( ( ( ~ ~ ~ ~ ( SV1362 @ SV280 ) )
= $true )
| ( ( ~ ( SV1362 @ SV280 ) )
= $false )
| ( ( ~ ~ ( SV1362
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1362 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4789]) ).
thf(5237,plain,
! [SV281: b,SV1368: b > $o] :
( ( ( SV1368 @ SV281 )
= $true )
| ( ( ~ ( SV1368 @ SV281 ) )
= $false )
| ( ( ~ ~ ( SV1368
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1368 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4807]) ).
thf(5240,plain,
! [SV281: b,SV1371: b > $o] :
( ( ( ~ ( SV1371 @ SV281 ) )
= $true )
| ( ( ~ ( SV1371 @ SV281 ) )
= $true )
| ( ( ~ ~ ( SV1371
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1371 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4804]) ).
thf(5241,plain,
! [SV281: b,SV1374: b > $o] :
( ( ( ~ ~ ( SV1374 @ SV281 ) )
= $true )
| ( ( ~ ( SV1374 @ SV281 ) )
= $false )
| ( ( ~ ~ ( SV1374
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1374 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4803]) ).
thf(5244,plain,
! [SV281: b,SV1377: b > $o] :
( ( ( ~ ~ ~ ( SV1377 @ SV281 ) )
= $true )
| ( ( ~ ( SV1377 @ SV281 ) )
= $true )
| ( ( ~ ~ ( SV1377
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1377 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4800]) ).
thf(5245,plain,
! [SV281: b,SV1380: b > $o] :
( ( ( ~ ~ ~ ~ ( SV1380 @ SV281 ) )
= $true )
| ( ( ~ ( SV1380 @ SV281 ) )
= $false )
| ( ( ~ ~ ( SV1380
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1380 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4799]) ).
thf(5247,plain,
! [SV282: b,SV1386: b > $o] :
( ( ( SV1386 @ SV282 )
= $true )
| ( ( ~ ( SV1386 @ SV282 ) )
= $false )
| ( ( ~ ~ ( SV1386
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1386 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4817]) ).
thf(5250,plain,
! [SV282: b,SV1389: b > $o] :
( ( ( ~ ( SV1389 @ SV282 ) )
= $true )
| ( ( ~ ( SV1389 @ SV282 ) )
= $true )
| ( ( ~ ~ ( SV1389
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1389 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4814]) ).
thf(5251,plain,
! [SV282: b,SV1392: b > $o] :
( ( ( ~ ~ ( SV1392 @ SV282 ) )
= $true )
| ( ( ~ ( SV1392 @ SV282 ) )
= $false )
| ( ( ~ ~ ( SV1392
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1392 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4813]) ).
thf(5254,plain,
! [SV282: b,SV1395: b > $o] :
( ( ( ~ ~ ~ ( SV1395 @ SV282 ) )
= $true )
| ( ( ~ ( SV1395 @ SV282 ) )
= $true )
| ( ( ~ ~ ( SV1395
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1395 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4810]) ).
thf(5255,plain,
! [SV282: b,SV1398: b > $o] :
( ( ( ~ ~ ~ ~ ( SV1398 @ SV282 ) )
= $true )
| ( ( ~ ( SV1398 @ SV282 ) )
= $false )
| ( ( ~ ~ ( SV1398
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1398 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4809]) ).
thf(5257,plain,
! [SV283: b,SV1404: b > $o] :
( ( ( SV1404 @ SV283 )
= $true )
| ( ( ~ ( SV1404 @ SV283 ) )
= $false )
| ( ( ~ ~ ( SV1404
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1404 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4827]) ).
thf(5260,plain,
! [SV283: b,SV1407: b > $o] :
( ( ( ~ ( SV1407 @ SV283 ) )
= $true )
| ( ( ~ ( SV1407 @ SV283 ) )
= $true )
| ( ( ~ ~ ( SV1407
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1407 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4824]) ).
thf(5261,plain,
! [SV283: b,SV1410: b > $o] :
( ( ( ~ ~ ( SV1410 @ SV283 ) )
= $true )
| ( ( ~ ( SV1410 @ SV283 ) )
= $false )
| ( ( ~ ~ ( SV1410
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1410 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4823]) ).
thf(5264,plain,
! [SV283: b,SV1413: b > $o] :
( ( ( ~ ~ ~ ( SV1413 @ SV283 ) )
= $true )
| ( ( ~ ( SV1413 @ SV283 ) )
= $true )
| ( ( ~ ~ ( SV1413
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1413 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4820]) ).
thf(5265,plain,
! [SV283: b,SV1416: b > $o] :
( ( ( ~ ~ ~ ~ ( SV1416 @ SV283 ) )
= $true )
| ( ( ~ ( SV1416 @ SV283 ) )
= $false )
| ( ( ~ ~ ( SV1416
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1416 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4819]) ).
thf(5267,plain,
! [SV176: b,SV1422: b > $o] :
( ( ( SV1422 @ SV176 )
= $true )
| ( ( ~ ( SV1422 @ SV176 ) )
= $false )
| ( ( ~ ~ ( SV1422
@ ( sK5_SY206
@ ^ [SX0: b] :
~ ( SV1422 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4837]) ).
thf(5270,plain,
! [SV176: b,SV1425: b > $o] :
( ( ( ~ ( SV1425 @ SV176 ) )
= $true )
| ( ( ~ ( SV1425 @ SV176 ) )
= $true )
| ( ( ~ ~ ( SV1425
@ ( sK5_SY206
@ ^ [SX0: b] :
~ ~ ( SV1425 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4834]) ).
thf(5271,plain,
! [SV176: b,SV1428: b > $o] :
( ( ( ~ ~ ( SV1428 @ SV176 ) )
= $true )
| ( ( ~ ( SV1428 @ SV176 ) )
= $false )
| ( ( ~ ~ ( SV1428
@ ( sK5_SY206
@ ^ [SX0: b] :
~ ~ ~ ( SV1428 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4833]) ).
thf(5274,plain,
! [SV176: b,SV1431: b > $o] :
( ( ( ~ ~ ~ ( SV1431 @ SV176 ) )
= $true )
| ( ( ~ ( SV1431 @ SV176 ) )
= $true )
| ( ( ~ ~ ( SV1431
@ ( sK5_SY206
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1431 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4830]) ).
thf(5275,plain,
! [SV176: b,SV1434: b > $o] :
( ( ( ~ ~ ~ ~ ( SV1434 @ SV176 ) )
= $true )
| ( ( ~ ( SV1434 @ SV176 ) )
= $false )
| ( ( ~ ~ ( SV1434
@ ( sK5_SY206
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1434 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4829]) ).
thf(5277,plain,
! [SV177: b,SV1440: b > $o] :
( ( ( SV1440 @ SV177 )
= $true )
| ( ( ~ ( SV1440 @ SV177 ) )
= $false )
| ( ( ~ ~ ( SV1440
@ ( sK6_SY207
@ ^ [SX0: b] :
~ ( SV1440 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4847]) ).
thf(5280,plain,
! [SV177: b,SV1443: b > $o] :
( ( ( ~ ( SV1443 @ SV177 ) )
= $true )
| ( ( ~ ( SV1443 @ SV177 ) )
= $true )
| ( ( ~ ~ ( SV1443
@ ( sK6_SY207
@ ^ [SX0: b] :
~ ~ ( SV1443 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4844]) ).
thf(5281,plain,
! [SV177: b,SV1446: b > $o] :
( ( ( ~ ~ ( SV1446 @ SV177 ) )
= $true )
| ( ( ~ ( SV1446 @ SV177 ) )
= $false )
| ( ( ~ ~ ( SV1446
@ ( sK6_SY207
@ ^ [SX0: b] :
~ ~ ~ ( SV1446 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4843]) ).
thf(5284,plain,
! [SV177: b,SV1449: b > $o] :
( ( ( ~ ~ ~ ( SV1449 @ SV177 ) )
= $true )
| ( ( ~ ( SV1449 @ SV177 ) )
= $true )
| ( ( ~ ~ ( SV1449
@ ( sK6_SY207
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1449 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4840]) ).
thf(5285,plain,
! [SV177: b,SV1452: b > $o] :
( ( ( ~ ~ ~ ~ ( SV1452 @ SV177 ) )
= $true )
| ( ( ~ ( SV1452 @ SV177 ) )
= $false )
| ( ( ~ ~ ( SV1452
@ ( sK6_SY207
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1452 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4839]) ).
thf(5287,plain,
! [SV284: b,SV1458: b > $o] :
( ( ( SV1458 @ SV284 )
= $true )
| ( ( ~ ( SV1458 @ SV284 ) )
= $false )
| ( ( ~ ~ ( SV1458
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1458 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4859]) ).
thf(5290,plain,
! [SV284: b,SV1461: b > $o] :
( ( ( ~ ( SV1461 @ SV284 ) )
= $true )
| ( ( ~ ( SV1461 @ SV284 ) )
= $true )
| ( ( ~ ~ ( SV1461
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1461 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4856]) ).
thf(5291,plain,
! [SV284: b,SV1464: b > $o] :
( ( ( ~ ~ ( SV1464 @ SV284 ) )
= $true )
| ( ( ~ ( SV1464 @ SV284 ) )
= $false )
| ( ( ~ ~ ( SV1464
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1464 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4855]) ).
thf(5294,plain,
! [SV284: b,SV1467: b > $o] :
( ( ( ~ ~ ~ ( SV1467 @ SV284 ) )
= $true )
| ( ( ~ ( SV1467 @ SV284 ) )
= $true )
| ( ( ~ ~ ( SV1467
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1467 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4852]) ).
thf(5295,plain,
! [SV284: b,SV1470: b > $o] :
( ( ( ~ ~ ~ ~ ( SV1470 @ SV284 ) )
= $true )
| ( ( ~ ( SV1470 @ SV284 ) )
= $false )
| ( ( ~ ~ ( SV1470
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1470 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4851]) ).
thf(5297,plain,
! [SV285: b,SV1476: b > $o] :
( ( ( SV1476 @ SV285 )
= $true )
| ( ( ~ ( SV1476 @ SV285 ) )
= $false )
| ( ( ~ ~ ( SV1476
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1476 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4869]) ).
thf(5300,plain,
! [SV285: b,SV1479: b > $o] :
( ( ( ~ ( SV1479 @ SV285 ) )
= $true )
| ( ( ~ ( SV1479 @ SV285 ) )
= $true )
| ( ( ~ ~ ( SV1479
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1479 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4866]) ).
thf(5301,plain,
! [SV285: b,SV1482: b > $o] :
( ( ( ~ ~ ( SV1482 @ SV285 ) )
= $true )
| ( ( ~ ( SV1482 @ SV285 ) )
= $false )
| ( ( ~ ~ ( SV1482
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1482 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4865]) ).
thf(5304,plain,
! [SV285: b,SV1485: b > $o] :
( ( ( ~ ~ ~ ( SV1485 @ SV285 ) )
= $true )
| ( ( ~ ( SV1485 @ SV285 ) )
= $true )
| ( ( ~ ~ ( SV1485
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1485 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4862]) ).
thf(5305,plain,
! [SV285: b,SV1488: b > $o] :
( ( ( ~ ~ ~ ~ ( SV1488 @ SV285 ) )
= $true )
| ( ( ~ ( SV1488 @ SV285 ) )
= $false )
| ( ( ~ ~ ( SV1488
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1488 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4861]) ).
thf(5307,plain,
! [SV286: b,SV1494: b > $o] :
( ( ( SV1494 @ SV286 )
= $true )
| ( ( ~ ( SV1494 @ SV286 ) )
= $false )
| ( ( ~ ~ ( SV1494
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1494 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4879]) ).
thf(5310,plain,
! [SV286: b,SV1497: b > $o] :
( ( ( ~ ( SV1497 @ SV286 ) )
= $true )
| ( ( ~ ( SV1497 @ SV286 ) )
= $true )
| ( ( ~ ~ ( SV1497
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1497 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4876]) ).
thf(5311,plain,
! [SV286: b,SV1500: b > $o] :
( ( ( ~ ~ ( SV1500 @ SV286 ) )
= $true )
| ( ( ~ ( SV1500 @ SV286 ) )
= $false )
| ( ( ~ ~ ( SV1500
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1500 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4875]) ).
thf(5314,plain,
! [SV286: b,SV1503: b > $o] :
( ( ( ~ ~ ~ ( SV1503 @ SV286 ) )
= $true )
| ( ( ~ ( SV1503 @ SV286 ) )
= $true )
| ( ( ~ ~ ( SV1503
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1503 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4872]) ).
thf(5315,plain,
! [SV286: b,SV1506: b > $o] :
( ( ( ~ ~ ~ ~ ( SV1506 @ SV286 ) )
= $true )
| ( ( ~ ( SV1506 @ SV286 ) )
= $false )
| ( ( ~ ~ ( SV1506
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1506 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4871]) ).
thf(5317,plain,
! [SV260: b,SV344: b > $o] :
( ( ( SV344 @ SV260 )
= $true )
| ( ( SV344 @ SV260 )
= $true )
| ( ( ~ ~ ( SV344
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV344 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5029]) ).
thf(5320,plain,
! [SV260: b,SV347: b > $o] :
( ( ( SV347 @ SV260 )
= $false )
| ( ( ~ ( SV347 @ SV260 ) )
= $true )
| ( ( ~ ~ ( SV347
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV347 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5032]) ).
thf(5321,plain,
! [SV260: b,SV350: b > $o] :
( ( ( ~ ( SV350 @ SV260 ) )
= $false )
| ( ( ~ ( SV350 @ SV260 ) )
= $false )
| ( ( ~ ~ ( SV350
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV350 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5033]) ).
thf(5324,plain,
! [SV260: b,SV353: b > $o] :
( ( ( ~ ~ ( SV353 @ SV260 ) )
= $false )
| ( ( ~ ( SV353 @ SV260 ) )
= $true )
| ( ( ~ ~ ( SV353
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV353 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5036]) ).
thf(5325,plain,
! [SV260: b,SV356: b > $o] :
( ( ( ~ ~ ~ ( SV356 @ SV260 ) )
= $false )
| ( ( ~ ( SV356 @ SV260 ) )
= $false )
| ( ( ~ ~ ( SV356
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV356 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5037]) ).
thf(5327,plain,
! [SV265: b,SV362: b > $o] :
( ( ( SV362 @ SV265 )
= $true )
| ( ( SV362 @ SV265 )
= $true )
| ( ( ~ ~ ( SV362
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV362 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5039]) ).
thf(5330,plain,
! [SV265: b,SV365: b > $o] :
( ( ( SV365 @ SV265 )
= $false )
| ( ( ~ ( SV365 @ SV265 ) )
= $true )
| ( ( ~ ~ ( SV365
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV365 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5042]) ).
thf(5331,plain,
! [SV265: b,SV368: b > $o] :
( ( ( ~ ( SV368 @ SV265 ) )
= $false )
| ( ( ~ ( SV368 @ SV265 ) )
= $false )
| ( ( ~ ~ ( SV368
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV368 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5043]) ).
thf(5334,plain,
! [SV265: b,SV371: b > $o] :
( ( ( ~ ~ ( SV371 @ SV265 ) )
= $false )
| ( ( ~ ( SV371 @ SV265 ) )
= $true )
| ( ( ~ ~ ( SV371
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV371 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5046]) ).
thf(5335,plain,
! [SV265: b,SV374: b > $o] :
( ( ( ~ ~ ~ ( SV374 @ SV265 ) )
= $false )
| ( ( ~ ( SV374 @ SV265 ) )
= $false )
| ( ( ~ ~ ( SV374
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV374 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5047]) ).
thf(5337,plain,
! [SV266: b,SV380: b > $o] :
( ( ( SV380 @ SV266 )
= $true )
| ( ( SV380 @ SV266 )
= $true )
| ( ( ~ ~ ( SV380
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV380 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5049]) ).
thf(5340,plain,
! [SV266: b,SV383: b > $o] :
( ( ( SV383 @ SV266 )
= $false )
| ( ( ~ ( SV383 @ SV266 ) )
= $true )
| ( ( ~ ~ ( SV383
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV383 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5052]) ).
thf(5341,plain,
! [SV266: b,SV386: b > $o] :
( ( ( ~ ( SV386 @ SV266 ) )
= $false )
| ( ( ~ ( SV386 @ SV266 ) )
= $false )
| ( ( ~ ~ ( SV386
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV386 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5053]) ).
thf(5344,plain,
! [SV266: b,SV389: b > $o] :
( ( ( ~ ~ ( SV389 @ SV266 ) )
= $false )
| ( ( ~ ( SV389 @ SV266 ) )
= $true )
| ( ( ~ ~ ( SV389
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV389 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5056]) ).
thf(5345,plain,
! [SV266: b,SV392: b > $o] :
( ( ( ~ ~ ~ ( SV392 @ SV266 ) )
= $false )
| ( ( ~ ( SV392 @ SV266 ) )
= $false )
| ( ( ~ ~ ( SV392
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV392 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5057]) ).
thf(5347,plain,
! [SV99: b,SV398: b > $o] :
( ( ( SV398 @ SV99 )
= $true )
| ( ( SV398 @ SV99 )
= $true )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV99 != SX0 )
| ~ ~ ( SV398 @ SX0 ) ) )
!= ( insert_b @ SV99 @ bot_bot_set_b ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5059]) ).
thf(5349,plain,
! [SV486: b > set_b,SV485: b > b,SV99: b,SV454: b > b > $o] :
( ( ( SV454 @ SV99
@ ( sK52_E
@ ^ [SX0: b] : ( insert_b @ ( SV485 @ SX0 ) @ ( SV486 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV454 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( insert_b @ ( SV485 @ SV99 ) @ ( SV486 @ SV99 ) )
= ( insert_b @ SV99 @ bot_bot_set_b ) )
= $false )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV454 @ SV99 @ SX0 ) )
= ( insert_b @ ( SV485 @ SV99 ) @ ( SV486 @ SV99 ) ) )
= $true )
| ( ( ~ ( ( SV99
!= ( sK52_E
@ ^ [SX0: b] : ( insert_b @ ( SV485 @ SX0 ) @ ( SV486 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV454 @ SX0 @ SX1 ) ) )
| ~ ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV454
@ ( sK52_E
@ ^ [SX1: b] : ( insert_b @ ( SV485 @ SX1 ) @ ( SV486 @ SX1 ) )
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( SV454 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( insert_b
@ ( SV485
@ ( sK52_E
@ ^ [SX0: b] : ( insert_b @ ( SV485 @ SX0 ) @ ( SV486 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV454 @ SX0 @ SX1 ) ) )
@ ( SV486
@ ( sK52_E
@ ^ [SX0: b] : ( insert_b @ ( SV485 @ SX0 ) @ ( SV486 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV454 @ SX0 @ SX1 ) ) ) ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5064]) ).
thf(5350,plain,
! [SV482: b > set_b,SV481: b > b,SV99: b,SV454: b > b > $o] :
( ( ( SV454 @ SV99
@ ( sK52_E
@ ^ [SX0: b] : ( insert_b @ ( SV481 @ SX0 ) @ ( SV482 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV454 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( insert_b @ ( SV481 @ SV99 ) @ ( SV482 @ SV99 ) )
= ( insert_b @ SV99 @ bot_bot_set_b ) )
= $false )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV454 @ SV99 @ SX0 ) )
= ( insert_b @ ( SV481 @ SV99 ) @ ( SV482 @ SV99 ) ) )
= $true )
| ( ( ~ ( ( SV99
!= ( sK52_E
@ ^ [SX0: b] : ( insert_b @ ( SV481 @ SX0 ) @ ( SV482 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV454 @ SX0 @ SX1 ) ) )
| ~ ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV454
@ ( sK52_E
@ ^ [SX1: b] : ( insert_b @ ( SV481 @ SX1 ) @ ( SV482 @ SX1 ) )
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( SV454 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( insert_b
@ ( SV481
@ ( sK52_E
@ ^ [SX0: b] : ( insert_b @ ( SV481 @ SX0 ) @ ( SV482 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV454 @ SX0 @ SX1 ) ) )
@ ( SV482
@ ( sK52_E
@ ^ [SX0: b] : ( insert_b @ ( SV481 @ SX0 ) @ ( SV482 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV454 @ SX0 @ SX1 ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5065]) ).
thf(5351,plain,
! [SV442: b > set_b,SV441: b > b,SV99: b,SV410: b > b > $o] :
( ( ( SV410 @ SV99
@ ( sK51_E
@ ^ [SX0: b] : ( insert_b @ ( SV441 @ SX0 ) @ ( SV442 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV410 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( insert_b @ ( SV441 @ SV99 ) @ ( SV442 @ SV99 ) )
= ( insert_b @ SV99 @ bot_bot_set_b ) )
= $false )
| ( ( ( insert_b @ ( SV441 @ SV99 ) @ ( SV442 @ SV99 ) )
= ( collect_b
@ ^ [SX0: b] :
~ ( SV410 @ SV99 @ SX0 ) ) )
= $true )
| ( ( ~ ( ( SV99
!= ( sK51_E
@ ^ [SX0: b] : ( insert_b @ ( SV441 @ SX0 ) @ ( SV442 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV410 @ SX0 @ SX1 ) ) )
| ~ ( ( ( insert_b
@ ( SV441
@ ( sK51_E
@ ^ [SX0: b] : ( insert_b @ ( SV441 @ SX0 ) @ ( SV442 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV410 @ SX0 @ SX1 ) ) )
@ ( SV442
@ ( sK51_E
@ ^ [SX0: b] : ( insert_b @ ( SV441 @ SX0 ) @ ( SV442 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV410 @ SX0 @ SX1 ) ) ) )
!= ( collect_b
@ ^ [SX0: b] :
~ ( SV410
@ ( sK51_E
@ ^ [SX1: b] : ( insert_b @ ( SV441 @ SX1 ) @ ( SV442 @ SX1 ) )
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( SV410 @ SX1 @ SX2 ) )
@ SX0 ) ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5067]) ).
thf(5352,plain,
! [SV438: b > set_b,SV437: b > b,SV99: b,SV410: b > b > $o] :
( ( ( SV410 @ SV99
@ ( sK51_E
@ ^ [SX0: b] : ( insert_b @ ( SV437 @ SX0 ) @ ( SV438 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV410 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( insert_b @ ( SV437 @ SV99 ) @ ( SV438 @ SV99 ) )
= ( insert_b @ SV99 @ bot_bot_set_b ) )
= $false )
| ( ( ( insert_b @ ( SV437 @ SV99 ) @ ( SV438 @ SV99 ) )
= ( collect_b
@ ^ [SX0: b] :
~ ( SV410 @ SV99 @ SX0 ) ) )
= $true )
| ( ( ~ ( ( SV99
!= ( sK51_E
@ ^ [SX0: b] : ( insert_b @ ( SV437 @ SX0 ) @ ( SV438 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV410 @ SX0 @ SX1 ) ) )
| ~ ( ( ( insert_b
@ ( SV437
@ ( sK51_E
@ ^ [SX0: b] : ( insert_b @ ( SV437 @ SX0 ) @ ( SV438 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV410 @ SX0 @ SX1 ) ) )
@ ( SV438
@ ( sK51_E
@ ^ [SX0: b] : ( insert_b @ ( SV437 @ SX0 ) @ ( SV438 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV410 @ SX0 @ SX1 ) ) ) )
!= ( collect_b
@ ^ [SX0: b] :
~ ( SV410
@ ( sK51_E
@ ^ [SX1: b] : ( insert_b @ ( SV437 @ SX1 ) @ ( SV438 @ SX1 ) )
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( SV410 @ SX1 @ SX2 ) )
@ SX0 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5068]) ).
thf(5353,plain,
! [SV124: b,SV493: b > $o] :
( ( ( SV493 @ SV124 )
= $true )
| ( ( SV493 @ SV124 )
= $true )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SX0 != SV124 )
| ~ ~ ( SV493 @ SX0 ) ) )
!= ( insert_b @ SV124 @ bot_bot_set_b ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5069]) ).
thf(5355,plain,
! [SV581: b > set_b,SV580: b > b,SV124: b,SV549: b > b > $o] :
( ( ( SV549 @ SV124
@ ( sK54_E
@ ^ [SX0: b] : ( insert_b @ ( SV580 @ SX0 ) @ ( SV581 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV549 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( insert_b @ ( SV580 @ SV124 ) @ ( SV581 @ SV124 ) )
= ( insert_b @ SV124 @ bot_bot_set_b ) )
= $false )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV549 @ SV124 @ SX0 ) )
= ( insert_b @ ( SV580 @ SV124 ) @ ( SV581 @ SV124 ) ) )
= $true )
| ( ( ~ ( ( ( sK54_E
@ ^ [SX0: b] : ( insert_b @ ( SV580 @ SX0 ) @ ( SV581 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV549 @ SX0 @ SX1 ) )
!= SV124 )
| ~ ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV549
@ ( sK54_E
@ ^ [SX1: b] : ( insert_b @ ( SV580 @ SX1 ) @ ( SV581 @ SX1 ) )
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( SV549 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( insert_b
@ ( SV580
@ ( sK54_E
@ ^ [SX0: b] : ( insert_b @ ( SV580 @ SX0 ) @ ( SV581 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV549 @ SX0 @ SX1 ) ) )
@ ( SV581
@ ( sK54_E
@ ^ [SX0: b] : ( insert_b @ ( SV580 @ SX0 ) @ ( SV581 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV549 @ SX0 @ SX1 ) ) ) ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5074]) ).
thf(5356,plain,
! [SV577: b > set_b,SV576: b > b,SV124: b,SV549: b > b > $o] :
( ( ( SV549 @ SV124
@ ( sK54_E
@ ^ [SX0: b] : ( insert_b @ ( SV576 @ SX0 ) @ ( SV577 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV549 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( insert_b @ ( SV576 @ SV124 ) @ ( SV577 @ SV124 ) )
= ( insert_b @ SV124 @ bot_bot_set_b ) )
= $false )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV549 @ SV124 @ SX0 ) )
= ( insert_b @ ( SV576 @ SV124 ) @ ( SV577 @ SV124 ) ) )
= $true )
| ( ( ~ ( ( ( sK54_E
@ ^ [SX0: b] : ( insert_b @ ( SV576 @ SX0 ) @ ( SV577 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV549 @ SX0 @ SX1 ) )
!= SV124 )
| ~ ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV549
@ ( sK54_E
@ ^ [SX1: b] : ( insert_b @ ( SV576 @ SX1 ) @ ( SV577 @ SX1 ) )
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( SV549 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( insert_b
@ ( SV576
@ ( sK54_E
@ ^ [SX0: b] : ( insert_b @ ( SV576 @ SX0 ) @ ( SV577 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV549 @ SX0 @ SX1 ) ) )
@ ( SV577
@ ( sK54_E
@ ^ [SX0: b] : ( insert_b @ ( SV576 @ SX0 ) @ ( SV577 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV549 @ SX0 @ SX1 ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5075]) ).
thf(5357,plain,
! [SV537: b > set_b,SV536: b > b,SV124: b,SV505: b > b > $o] :
( ( ( SV505 @ SV124
@ ( sK53_E
@ ^ [SX0: b] : ( insert_b @ ( SV536 @ SX0 ) @ ( SV537 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV505 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( insert_b @ ( SV536 @ SV124 ) @ ( SV537 @ SV124 ) )
= ( insert_b @ SV124 @ bot_bot_set_b ) )
= $false )
| ( ( ( insert_b @ ( SV536 @ SV124 ) @ ( SV537 @ SV124 ) )
= ( collect_b
@ ^ [SX0: b] :
~ ( SV505 @ SV124 @ SX0 ) ) )
= $true )
| ( ( ~ ( ( ( sK53_E
@ ^ [SX0: b] : ( insert_b @ ( SV536 @ SX0 ) @ ( SV537 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV505 @ SX0 @ SX1 ) )
!= SV124 )
| ~ ( ( ( insert_b
@ ( SV536
@ ( sK53_E
@ ^ [SX0: b] : ( insert_b @ ( SV536 @ SX0 ) @ ( SV537 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV505 @ SX0 @ SX1 ) ) )
@ ( SV537
@ ( sK53_E
@ ^ [SX0: b] : ( insert_b @ ( SV536 @ SX0 ) @ ( SV537 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV505 @ SX0 @ SX1 ) ) ) )
!= ( collect_b
@ ^ [SX0: b] :
~ ( SV505
@ ( sK53_E
@ ^ [SX1: b] : ( insert_b @ ( SV536 @ SX1 ) @ ( SV537 @ SX1 ) )
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( SV505 @ SX1 @ SX2 ) )
@ SX0 ) ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5077]) ).
thf(5358,plain,
! [SV533: b > set_b,SV532: b > b,SV124: b,SV505: b > b > $o] :
( ( ( SV505 @ SV124
@ ( sK53_E
@ ^ [SX0: b] : ( insert_b @ ( SV532 @ SX0 ) @ ( SV533 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV505 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( insert_b @ ( SV532 @ SV124 ) @ ( SV533 @ SV124 ) )
= ( insert_b @ SV124 @ bot_bot_set_b ) )
= $false )
| ( ( ( insert_b @ ( SV532 @ SV124 ) @ ( SV533 @ SV124 ) )
= ( collect_b
@ ^ [SX0: b] :
~ ( SV505 @ SV124 @ SX0 ) ) )
= $true )
| ( ( ~ ( ( ( sK53_E
@ ^ [SX0: b] : ( insert_b @ ( SV532 @ SX0 ) @ ( SV533 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV505 @ SX0 @ SX1 ) )
!= SV124 )
| ~ ( ( ( insert_b
@ ( SV532
@ ( sK53_E
@ ^ [SX0: b] : ( insert_b @ ( SV532 @ SX0 ) @ ( SV533 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV505 @ SX0 @ SX1 ) ) )
@ ( SV533
@ ( sK53_E
@ ^ [SX0: b] : ( insert_b @ ( SV532 @ SX0 ) @ ( SV533 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV505 @ SX0 @ SX1 ) ) ) )
!= ( collect_b
@ ^ [SX0: b] :
~ ( SV505
@ ( sK53_E
@ ^ [SX1: b] : ( insert_b @ ( SV532 @ SX1 ) @ ( SV533 @ SX1 ) )
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( SV505 @ SX1 @ SX2 ) )
@ SX0 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5078]) ).
thf(5359,plain,
! [SV267: b,SV588: b > $o] :
( ( ( SV588 @ SV267 )
= $true )
| ( ( SV588 @ SV267 )
= $true )
| ( ( ~ ~ ( SV588
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV588 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5079]) ).
thf(5362,plain,
! [SV267: b,SV591: b > $o] :
( ( ( SV591 @ SV267 )
= $false )
| ( ( ~ ( SV591 @ SV267 ) )
= $true )
| ( ( ~ ~ ( SV591
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV591 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5082]) ).
thf(5363,plain,
! [SV267: b,SV594: b > $o] :
( ( ( ~ ( SV594 @ SV267 ) )
= $false )
| ( ( ~ ( SV594 @ SV267 ) )
= $false )
| ( ( ~ ~ ( SV594
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV594 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5083]) ).
thf(5366,plain,
! [SV267: b,SV597: b > $o] :
( ( ( ~ ~ ( SV597 @ SV267 ) )
= $false )
| ( ( ~ ( SV597 @ SV267 ) )
= $true )
| ( ( ~ ~ ( SV597
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV597 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5086]) ).
thf(5367,plain,
! [SV267: b,SV600: b > $o] :
( ( ( ~ ~ ~ ( SV600 @ SV267 ) )
= $false )
| ( ( ~ ( SV600 @ SV267 ) )
= $false )
| ( ( ~ ~ ( SV600
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV600 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5087]) ).
thf(5369,plain,
! [SV681: b > b > $o,SV99: b] :
( ( ( ( SV99
!= ( sK56_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV681 @ SX0 @ SX1 ) ) )
| ( ( collect_b
@ ^ [SX0: b] :
~ ( SV681
@ ( sK56_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( SV681 @ SX1 @ SX2 ) )
@ SX0 ) )
!= bot_bot_set_b ) )
= $true )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV681 @ SV99 @ SX0 ) )
= bot_bot_set_b )
= $true )
| ( ( SV681 @ SV99
@ ( sK56_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV681 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5089]) ).
thf(5370,plain,
! [SV681: b > b > $o,SV99: b] :
( ( ( ( SV99
!= ( sK56_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV681 @ SX0 @ SX1 ) ) )
| ( ( collect_b
@ ^ [SX0: b] :
~ ( SV681
@ ( sK56_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( SV681 @ SX1 @ SX2 ) )
@ SX0 ) )
!= bot_bot_set_b ) )
= $false )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV681 @ SV99 @ SX0 ) )
= bot_bot_set_b )
= $true )
| ( ( SV681 @ SV99
@ ( sK56_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV681 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5090]) ).
thf(5371,plain,
! [SV687: b > b > $o,SV686: b > b > $o,SV99: b] :
( ( ( SV99
!= ( sK56_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV686 @ SX0 @ SX1 )
| ( SV687 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV686 @ SV99 @ SX0 )
| ( SV687 @ SV99 @ SX0 ) ) )
= bot_bot_set_b )
= $true )
| ( ( SV686 @ SV99
@ ( sK56_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV686 @ SX0 @ SX1 )
| ( SV687 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5091]) ).
thf(5372,plain,
! [SV687: b > b > $o,SV99: b,SV686: b > b > $o] :
( ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV686
@ ( sK56_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( ( SV686 @ SX1 @ SX2 )
| ( SV687 @ SX1 @ SX2 ) ) )
@ SX0 )
| ( SV687
@ ( sK56_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( ( SV686 @ SX1 @ SX2 )
| ( SV687 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
!= bot_bot_set_b )
= $false )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV686 @ SV99 @ SX0 )
| ( SV687 @ SV99 @ SX0 ) ) )
= bot_bot_set_b )
= $true )
| ( ( SV686 @ SV99
@ ( sK56_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV686 @ SX0 @ SX1 )
| ( SV687 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5091]) ).
thf(5373,plain,
! [SV687: b > b > $o,SV686: b > b > $o,SV99: b] :
( ( ( SV99
!= ( sK56_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV686 @ SX0 @ SX1 )
| ( SV687 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV686 @ SV99 @ SX0 )
| ( SV687 @ SV99 @ SX0 ) ) )
= bot_bot_set_b )
= $true )
| ( ( SV687 @ SV99
@ ( sK56_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV686 @ SX0 @ SX1 )
| ( SV687 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5092]) ).
thf(5374,plain,
! [SV687: b > b > $o,SV99: b,SV686: b > b > $o] :
( ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV686
@ ( sK56_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( ( SV686 @ SX1 @ SX2 )
| ( SV687 @ SX1 @ SX2 ) ) )
@ SX0 )
| ( SV687
@ ( sK56_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( ( SV686 @ SX1 @ SX2 )
| ( SV687 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
!= bot_bot_set_b )
= $false )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV686 @ SV99 @ SX0 )
| ( SV687 @ SV99 @ SX0 ) ) )
= bot_bot_set_b )
= $true )
| ( ( SV687 @ SV99
@ ( sK56_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV686 @ SX0 @ SX1 )
| ( SV687 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5092]) ).
thf(5375,plain,
! [SV687: b > b > $o,SV686: b > b > $o,SV99: b] :
( ( ( SV99
!= ( sK56_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV686 @ SX0 @ SX1 )
| ( SV687 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV686
@ ( sK56_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( ( SV686 @ SX1 @ SX2 )
| ( SV687 @ SX1 @ SX2 ) ) )
@ SX0 )
| ( SV687
@ ( sK56_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( ( SV686 @ SX1 @ SX2 )
| ( SV687 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
!= bot_bot_set_b )
= $true )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV686 @ SV99 @ SX0 )
| ( SV687 @ SV99 @ SX0 ) ) )
= bot_bot_set_b )
= $true )
| ( ( SV687 @ SV99
@ ( sK56_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV686 @ SX0 @ SX1 )
| ( SV687 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV686 @ SV99
@ ( sK56_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV686 @ SX0 @ SX1 )
| ( SV687 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5093]) ).
thf(5376,plain,
! [SV615: b > b > $o,SV99: b] :
( ( ( ( SV99
!= ( sK55_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV615 @ SX0 @ SX1 ) ) )
| ( bot_bot_set_b
!= ( collect_b
@ ^ [SX0: b] :
~ ( SV615
@ ( sK55_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( SV615 @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
= $true )
| ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( SV615 @ SV99 @ SX0 ) ) )
= $true )
| ( ( SV615 @ SV99
@ ( sK55_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV615 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5094]) ).
thf(5377,plain,
! [SV615: b > b > $o,SV99: b] :
( ( ( ( SV99
!= ( sK55_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV615 @ SX0 @ SX1 ) ) )
| ( bot_bot_set_b
!= ( collect_b
@ ^ [SX0: b] :
~ ( SV615
@ ( sK55_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( SV615 @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
= $false )
| ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( SV615 @ SV99 @ SX0 ) ) )
= $true )
| ( ( SV615 @ SV99
@ ( sK55_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV615 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5095]) ).
thf(5378,plain,
! [SV621: b > b > $o,SV620: b > b > $o,SV99: b] :
( ( ( SV99
!= ( sK55_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV620 @ SX0 @ SX1 )
| ( SV621 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV620 @ SV99 @ SX0 )
| ( SV621 @ SV99 @ SX0 ) ) ) )
= $true )
| ( ( SV620 @ SV99
@ ( sK55_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV620 @ SX0 @ SX1 )
| ( SV621 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5096]) ).
thf(5379,plain,
! [SV621: b > b > $o,SV99: b,SV620: b > b > $o] :
( ( ( bot_bot_set_b
!= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV620
@ ( sK55_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( ( SV620 @ SX1 @ SX2 )
| ( SV621 @ SX1 @ SX2 ) ) )
@ SX0 )
| ( SV621
@ ( sK55_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( ( SV620 @ SX1 @ SX2 )
| ( SV621 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
= $false )
| ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV620 @ SV99 @ SX0 )
| ( SV621 @ SV99 @ SX0 ) ) ) )
= $true )
| ( ( SV620 @ SV99
@ ( sK55_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV620 @ SX0 @ SX1 )
| ( SV621 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5096]) ).
thf(5380,plain,
! [SV621: b > b > $o,SV620: b > b > $o,SV99: b] :
( ( ( SV99
!= ( sK55_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV620 @ SX0 @ SX1 )
| ( SV621 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV620 @ SV99 @ SX0 )
| ( SV621 @ SV99 @ SX0 ) ) ) )
= $true )
| ( ( SV621 @ SV99
@ ( sK55_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV620 @ SX0 @ SX1 )
| ( SV621 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5097]) ).
thf(5381,plain,
! [SV621: b > b > $o,SV99: b,SV620: b > b > $o] :
( ( ( bot_bot_set_b
!= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV620
@ ( sK55_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( ( SV620 @ SX1 @ SX2 )
| ( SV621 @ SX1 @ SX2 ) ) )
@ SX0 )
| ( SV621
@ ( sK55_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( ( SV620 @ SX1 @ SX2 )
| ( SV621 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
= $false )
| ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV620 @ SV99 @ SX0 )
| ( SV621 @ SV99 @ SX0 ) ) ) )
= $true )
| ( ( SV621 @ SV99
@ ( sK55_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV620 @ SX0 @ SX1 )
| ( SV621 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5097]) ).
thf(5382,plain,
! [SV621: b > b > $o,SV620: b > b > $o,SV99: b] :
( ( ( SV99
!= ( sK55_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV620 @ SX0 @ SX1 )
| ( SV621 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( bot_bot_set_b
!= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV620
@ ( sK55_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( ( SV620 @ SX1 @ SX2 )
| ( SV621 @ SX1 @ SX2 ) ) )
@ SX0 )
| ( SV621
@ ( sK55_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( ( SV620 @ SX1 @ SX2 )
| ( SV621 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
= $true )
| ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV620 @ SV99 @ SX0 )
| ( SV621 @ SV99 @ SX0 ) ) ) )
= $true )
| ( ( SV621 @ SV99
@ ( sK55_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV620 @ SX0 @ SX1 )
| ( SV621 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV620 @ SV99
@ ( sK55_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV620 @ SX0 @ SX1 )
| ( SV621 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5098]) ).
thf(5393,plain,
! [SV268: b,SV760: b > $o] :
( ( ( SV760 @ SV268 )
= $true )
| ( ( SV760 @ SV268 )
= $true )
| ( ( ~ ~ ( SV760
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV760 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5109]) ).
thf(5396,plain,
! [SV268: b,SV763: b > $o] :
( ( ( SV763 @ SV268 )
= $false )
| ( ( ~ ( SV763 @ SV268 ) )
= $true )
| ( ( ~ ~ ( SV763
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV763 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5112]) ).
thf(5397,plain,
! [SV268: b,SV766: b > $o] :
( ( ( ~ ( SV766 @ SV268 ) )
= $false )
| ( ( ~ ( SV766 @ SV268 ) )
= $false )
| ( ( ~ ~ ( SV766
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV766 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5113]) ).
thf(5400,plain,
! [SV268: b,SV769: b > $o] :
( ( ( ~ ~ ( SV769 @ SV268 ) )
= $false )
| ( ( ~ ( SV769 @ SV268 ) )
= $true )
| ( ( ~ ~ ( SV769
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV769 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5116]) ).
thf(5401,plain,
! [SV268: b,SV772: b > $o] :
( ( ( ~ ~ ~ ( SV772 @ SV268 ) )
= $false )
| ( ( ~ ( SV772 @ SV268 ) )
= $false )
| ( ( ~ ~ ( SV772
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV772 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5117]) ).
thf(5413,plain,
! [SV269: b,SV796: b > $o] :
( ( ( SV796 @ SV269 )
= $true )
| ( ( SV796 @ SV269 )
= $true )
| ( ( ~ ~ ( SV796
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV796 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5129]) ).
thf(5416,plain,
! [SV269: b,SV799: b > $o] :
( ( ( SV799 @ SV269 )
= $false )
| ( ( ~ ( SV799 @ SV269 ) )
= $true )
| ( ( ~ ~ ( SV799
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV799 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5132]) ).
thf(5417,plain,
! [SV269: b,SV802: b > $o] :
( ( ( ~ ( SV802 @ SV269 ) )
= $false )
| ( ( ~ ( SV802 @ SV269 ) )
= $false )
| ( ( ~ ~ ( SV802
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV802 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5133]) ).
thf(5420,plain,
! [SV269: b,SV805: b > $o] :
( ( ( ~ ~ ( SV805 @ SV269 ) )
= $false )
| ( ( ~ ( SV805 @ SV269 ) )
= $true )
| ( ( ~ ~ ( SV805
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV805 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5136]) ).
thf(5421,plain,
! [SV269: b,SV808: b > $o] :
( ( ( ~ ~ ~ ( SV808 @ SV269 ) )
= $false )
| ( ( ~ ( SV808 @ SV269 ) )
= $false )
| ( ( ~ ~ ( SV808
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV808 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5137]) ).
thf(5423,plain,
! [SV270: b,SV814: b > $o] :
( ( ( SV814 @ SV270 )
= $true )
| ( ( SV814 @ SV270 )
= $true )
| ( ( ~ ~ ( SV814
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV814 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5139]) ).
thf(5426,plain,
! [SV270: b,SV817: b > $o] :
( ( ( SV817 @ SV270 )
= $false )
| ( ( ~ ( SV817 @ SV270 ) )
= $true )
| ( ( ~ ~ ( SV817
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV817 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5142]) ).
thf(5427,plain,
! [SV270: b,SV820: b > $o] :
( ( ( ~ ( SV820 @ SV270 ) )
= $false )
| ( ( ~ ( SV820 @ SV270 ) )
= $false )
| ( ( ~ ~ ( SV820
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV820 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5143]) ).
thf(5430,plain,
! [SV270: b,SV823: b > $o] :
( ( ( ~ ~ ( SV823 @ SV270 ) )
= $false )
| ( ( ~ ( SV823 @ SV270 ) )
= $true )
| ( ( ~ ~ ( SV823
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV823 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5146]) ).
thf(5431,plain,
! [SV270: b,SV826: b > $o] :
( ( ( ~ ~ ~ ( SV826 @ SV270 ) )
= $false )
| ( ( ~ ( SV826 @ SV270 ) )
= $false )
| ( ( ~ ~ ( SV826
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV826 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5147]) ).
thf(5433,plain,
! [SV907: b > b > $o,SV124: b] :
( ( ( ( ( sK58_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV907 @ SX0 @ SX1 ) )
!= SV124 )
| ( ( collect_b
@ ^ [SX0: b] :
~ ( SV907
@ ( sK58_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( SV907 @ SX1 @ SX2 ) )
@ SX0 ) )
!= bot_bot_set_b ) )
= $true )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV907 @ SV124 @ SX0 ) )
= bot_bot_set_b )
= $true )
| ( ( SV907 @ SV124
@ ( sK58_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV907 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5149]) ).
thf(5434,plain,
! [SV907: b > b > $o,SV124: b] :
( ( ( ( ( sK58_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV907 @ SX0 @ SX1 ) )
!= SV124 )
| ( ( collect_b
@ ^ [SX0: b] :
~ ( SV907
@ ( sK58_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( SV907 @ SX1 @ SX2 ) )
@ SX0 ) )
!= bot_bot_set_b ) )
= $false )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV907 @ SV124 @ SX0 ) )
= bot_bot_set_b )
= $true )
| ( ( SV907 @ SV124
@ ( sK58_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV907 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5150]) ).
thf(5435,plain,
! [SV913: b > b > $o,SV912: b > b > $o,SV124: b] :
( ( ( ( sK58_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV912 @ SX0 @ SX1 )
| ( SV913 @ SX0 @ SX1 ) ) )
!= SV124 )
= $false )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV912 @ SV124 @ SX0 )
| ( SV913 @ SV124 @ SX0 ) ) )
= bot_bot_set_b )
= $true )
| ( ( SV912 @ SV124
@ ( sK58_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV912 @ SX0 @ SX1 )
| ( SV913 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5151]) ).
thf(5436,plain,
! [SV913: b > b > $o,SV124: b,SV912: b > b > $o] :
( ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV912
@ ( sK58_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( ( SV912 @ SX1 @ SX2 )
| ( SV913 @ SX1 @ SX2 ) ) )
@ SX0 )
| ( SV913
@ ( sK58_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( ( SV912 @ SX1 @ SX2 )
| ( SV913 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
!= bot_bot_set_b )
= $false )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV912 @ SV124 @ SX0 )
| ( SV913 @ SV124 @ SX0 ) ) )
= bot_bot_set_b )
= $true )
| ( ( SV912 @ SV124
@ ( sK58_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV912 @ SX0 @ SX1 )
| ( SV913 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5151]) ).
thf(5437,plain,
! [SV913: b > b > $o,SV912: b > b > $o,SV124: b] :
( ( ( ( sK58_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV912 @ SX0 @ SX1 )
| ( SV913 @ SX0 @ SX1 ) ) )
!= SV124 )
= $false )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV912 @ SV124 @ SX0 )
| ( SV913 @ SV124 @ SX0 ) ) )
= bot_bot_set_b )
= $true )
| ( ( SV913 @ SV124
@ ( sK58_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV912 @ SX0 @ SX1 )
| ( SV913 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5152]) ).
thf(5438,plain,
! [SV913: b > b > $o,SV124: b,SV912: b > b > $o] :
( ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV912
@ ( sK58_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( ( SV912 @ SX1 @ SX2 )
| ( SV913 @ SX1 @ SX2 ) ) )
@ SX0 )
| ( SV913
@ ( sK58_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( ( SV912 @ SX1 @ SX2 )
| ( SV913 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
!= bot_bot_set_b )
= $false )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV912 @ SV124 @ SX0 )
| ( SV913 @ SV124 @ SX0 ) ) )
= bot_bot_set_b )
= $true )
| ( ( SV913 @ SV124
@ ( sK58_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV912 @ SX0 @ SX1 )
| ( SV913 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5152]) ).
thf(5439,plain,
! [SV913: b > b > $o,SV912: b > b > $o,SV124: b] :
( ( ( ( sK58_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV912 @ SX0 @ SX1 )
| ( SV913 @ SX0 @ SX1 ) ) )
!= SV124 )
= $true )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV912
@ ( sK58_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( ( SV912 @ SX1 @ SX2 )
| ( SV913 @ SX1 @ SX2 ) ) )
@ SX0 )
| ( SV913
@ ( sK58_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( ( SV912 @ SX1 @ SX2 )
| ( SV913 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
!= bot_bot_set_b )
= $true )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV912 @ SV124 @ SX0 )
| ( SV913 @ SV124 @ SX0 ) ) )
= bot_bot_set_b )
= $true )
| ( ( SV913 @ SV124
@ ( sK58_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV912 @ SX0 @ SX1 )
| ( SV913 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV912 @ SV124
@ ( sK58_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV912 @ SX0 @ SX1 )
| ( SV913 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5153]) ).
thf(5440,plain,
! [SV841: b > b > $o,SV124: b] :
( ( ( ( ( sK57_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV841 @ SX0 @ SX1 ) )
!= SV124 )
| ( bot_bot_set_b
!= ( collect_b
@ ^ [SX0: b] :
~ ( SV841
@ ( sK57_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( SV841 @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
= $true )
| ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( SV841 @ SV124 @ SX0 ) ) )
= $true )
| ( ( SV841 @ SV124
@ ( sK57_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV841 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5154]) ).
thf(5441,plain,
! [SV841: b > b > $o,SV124: b] :
( ( ( ( ( sK57_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV841 @ SX0 @ SX1 ) )
!= SV124 )
| ( bot_bot_set_b
!= ( collect_b
@ ^ [SX0: b] :
~ ( SV841
@ ( sK57_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( SV841 @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
= $false )
| ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( SV841 @ SV124 @ SX0 ) ) )
= $true )
| ( ( SV841 @ SV124
@ ( sK57_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV841 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5155]) ).
thf(5442,plain,
! [SV847: b > b > $o,SV846: b > b > $o,SV124: b] :
( ( ( ( sK57_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV846 @ SX0 @ SX1 )
| ( SV847 @ SX0 @ SX1 ) ) )
!= SV124 )
= $false )
| ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV846 @ SV124 @ SX0 )
| ( SV847 @ SV124 @ SX0 ) ) ) )
= $true )
| ( ( SV846 @ SV124
@ ( sK57_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV846 @ SX0 @ SX1 )
| ( SV847 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5156]) ).
thf(5443,plain,
! [SV847: b > b > $o,SV124: b,SV846: b > b > $o] :
( ( ( bot_bot_set_b
!= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV846
@ ( sK57_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( ( SV846 @ SX1 @ SX2 )
| ( SV847 @ SX1 @ SX2 ) ) )
@ SX0 )
| ( SV847
@ ( sK57_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( ( SV846 @ SX1 @ SX2 )
| ( SV847 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
= $false )
| ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV846 @ SV124 @ SX0 )
| ( SV847 @ SV124 @ SX0 ) ) ) )
= $true )
| ( ( SV846 @ SV124
@ ( sK57_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV846 @ SX0 @ SX1 )
| ( SV847 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5156]) ).
thf(5444,plain,
! [SV847: b > b > $o,SV846: b > b > $o,SV124: b] :
( ( ( ( sK57_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV846 @ SX0 @ SX1 )
| ( SV847 @ SX0 @ SX1 ) ) )
!= SV124 )
= $false )
| ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV846 @ SV124 @ SX0 )
| ( SV847 @ SV124 @ SX0 ) ) ) )
= $true )
| ( ( SV847 @ SV124
@ ( sK57_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV846 @ SX0 @ SX1 )
| ( SV847 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5157]) ).
thf(5445,plain,
! [SV847: b > b > $o,SV124: b,SV846: b > b > $o] :
( ( ( bot_bot_set_b
!= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV846
@ ( sK57_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( ( SV846 @ SX1 @ SX2 )
| ( SV847 @ SX1 @ SX2 ) ) )
@ SX0 )
| ( SV847
@ ( sK57_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( ( SV846 @ SX1 @ SX2 )
| ( SV847 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
= $false )
| ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV846 @ SV124 @ SX0 )
| ( SV847 @ SV124 @ SX0 ) ) ) )
= $true )
| ( ( SV847 @ SV124
@ ( sK57_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV846 @ SX0 @ SX1 )
| ( SV847 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5157]) ).
thf(5446,plain,
! [SV847: b > b > $o,SV846: b > b > $o,SV124: b] :
( ( ( ( sK57_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV846 @ SX0 @ SX1 )
| ( SV847 @ SX0 @ SX1 ) ) )
!= SV124 )
= $true )
| ( ( bot_bot_set_b
!= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV846
@ ( sK57_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( ( SV846 @ SX1 @ SX2 )
| ( SV847 @ SX1 @ SX2 ) ) )
@ SX0 )
| ( SV847
@ ( sK57_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( ( SV846 @ SX1 @ SX2 )
| ( SV847 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
= $true )
| ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV846 @ SV124 @ SX0 )
| ( SV847 @ SV124 @ SX0 ) ) ) )
= $true )
| ( ( SV847 @ SV124
@ ( sK57_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV846 @ SX0 @ SX1 )
| ( SV847 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV846 @ SV124
@ ( sK57_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV846 @ SX0 @ SX1 )
| ( SV847 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5158]) ).
thf(5448,plain,
! [SV19: b,SV968: b > $o] :
( ( ( SV968 @ SV19 )
= $false )
| ( ( SV968 @ SV19 )
= $false )
| ( ( ~ ( member_b @ SV19
@ ( collect_b
@ ^ [SX0: b] :
~ ( SV968 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5160]) ).
thf(5449,plain,
! [SV19: b,SV975: b > $o] :
( ( ( SV975 @ SV19 )
= $true )
| ( ( SV975 @ SV19 )
= $true )
| ( ( ~ ( member_b @ SV19
@ ( collect_b
@ ^ [SX0: b] :
~ ( SV975 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5163]) ).
thf(5451,plain,
! [SV273: b,SV982: b > $o] :
( ( ( SV982 @ SV273 )
= $true )
| ( ( SV982 @ SV273 )
= $true )
| ( ( ~ ~ ( SV982
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV982 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5167]) ).
thf(5454,plain,
! [SV273: b,SV985: b > $o] :
( ( ( SV985 @ SV273 )
= $false )
| ( ( ~ ( SV985 @ SV273 ) )
= $true )
| ( ( ~ ~ ( SV985
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV985 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5170]) ).
thf(5455,plain,
! [SV273: b,SV988: b > $o] :
( ( ( ~ ( SV988 @ SV273 ) )
= $false )
| ( ( ~ ( SV988 @ SV273 ) )
= $false )
| ( ( ~ ~ ( SV988
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV988 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5171]) ).
thf(5458,plain,
! [SV273: b,SV991: b > $o] :
( ( ( ~ ~ ( SV991 @ SV273 ) )
= $false )
| ( ( ~ ( SV991 @ SV273 ) )
= $true )
| ( ( ~ ~ ( SV991
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV991 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5174]) ).
thf(5459,plain,
! [SV273: b,SV994: b > $o] :
( ( ( ~ ~ ~ ( SV994 @ SV273 ) )
= $false )
| ( ( ~ ( SV994 @ SV273 ) )
= $false )
| ( ( ~ ~ ( SV994
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV994 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5175]) ).
thf(5461,plain,
! [SV274: b,SV1000: b > $o] :
( ( ( SV1000 @ SV274 )
= $true )
| ( ( SV1000 @ SV274 )
= $true )
| ( ( ~ ~ ( SV1000
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1000 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5177]) ).
thf(5464,plain,
! [SV274: b,SV1003: b > $o] :
( ( ( SV1003 @ SV274 )
= $false )
| ( ( ~ ( SV1003 @ SV274 ) )
= $true )
| ( ( ~ ~ ( SV1003
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1003 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5180]) ).
thf(5465,plain,
! [SV274: b,SV1006: b > $o] :
( ( ( ~ ( SV1006 @ SV274 ) )
= $false )
| ( ( ~ ( SV1006 @ SV274 ) )
= $false )
| ( ( ~ ~ ( SV1006
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1006 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5181]) ).
thf(5468,plain,
! [SV274: b,SV1009: b > $o] :
( ( ( ~ ~ ( SV1009 @ SV274 ) )
= $false )
| ( ( ~ ( SV1009 @ SV274 ) )
= $true )
| ( ( ~ ~ ( SV1009
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1009 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5184]) ).
thf(5469,plain,
! [SV274: b,SV1012: b > $o] :
( ( ( ~ ~ ~ ( SV1012 @ SV274 ) )
= $false )
| ( ( ~ ( SV1012 @ SV274 ) )
= $false )
| ( ( ~ ~ ( SV1012
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1012 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5185]) ).
thf(5471,plain,
! [SV277: b,SV1018: b > $o] :
( ( ( SV1018 @ SV277 )
= $true )
| ( ( SV1018 @ SV277 )
= $true )
| ( ( ~ ~ ( SV1018
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1018 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5187]) ).
thf(5474,plain,
! [SV277: b,SV1021: b > $o] :
( ( ( SV1021 @ SV277 )
= $false )
| ( ( ~ ( SV1021 @ SV277 ) )
= $true )
| ( ( ~ ~ ( SV1021
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1021 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5190]) ).
thf(5475,plain,
! [SV277: b,SV1024: b > $o] :
( ( ( ~ ( SV1024 @ SV277 ) )
= $false )
| ( ( ~ ( SV1024 @ SV277 ) )
= $false )
| ( ( ~ ~ ( SV1024
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1024 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5191]) ).
thf(5478,plain,
! [SV277: b,SV1027: b > $o] :
( ( ( ~ ~ ( SV1027 @ SV277 ) )
= $false )
| ( ( ~ ( SV1027 @ SV277 ) )
= $true )
| ( ( ~ ~ ( SV1027
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1027 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5194]) ).
thf(5479,plain,
! [SV277: b,SV1030: b > $o] :
( ( ( ~ ~ ~ ( SV1030 @ SV277 ) )
= $false )
| ( ( ~ ( SV1030 @ SV277 ) )
= $false )
| ( ( ~ ~ ( SV1030
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1030 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5195]) ).
thf(5481,plain,
! [SV278: b,SV1036: b > $o] :
( ( ( SV1036 @ SV278 )
= $true )
| ( ( SV1036 @ SV278 )
= $true )
| ( ( ~ ~ ( SV1036
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1036 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5197]) ).
thf(5484,plain,
! [SV278: b,SV1039: b > $o] :
( ( ( SV1039 @ SV278 )
= $false )
| ( ( ~ ( SV1039 @ SV278 ) )
= $true )
| ( ( ~ ~ ( SV1039
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1039 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5200]) ).
thf(5485,plain,
! [SV278: b,SV1042: b > $o] :
( ( ( ~ ( SV1042 @ SV278 ) )
= $false )
| ( ( ~ ( SV1042 @ SV278 ) )
= $false )
| ( ( ~ ~ ( SV1042
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1042 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5201]) ).
thf(5488,plain,
! [SV278: b,SV1045: b > $o] :
( ( ( ~ ~ ( SV1045 @ SV278 ) )
= $false )
| ( ( ~ ( SV1045 @ SV278 ) )
= $true )
| ( ( ~ ~ ( SV1045
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1045 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5204]) ).
thf(5489,plain,
! [SV278: b,SV1048: b > $o] :
( ( ( ~ ~ ~ ( SV1048 @ SV278 ) )
= $false )
| ( ( ~ ( SV1048 @ SV278 ) )
= $false )
| ( ( ~ ~ ( SV1048
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1048 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5205]) ).
thf(5491,plain,
! [SV279: b,SV1314: b > $o] :
( ( ( SV1314 @ SV279 )
= $true )
| ( ( SV1314 @ SV279 )
= $true )
| ( ( ~ ~ ( SV1314
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1314 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5207]) ).
thf(5494,plain,
! [SV279: b,SV1317: b > $o] :
( ( ( SV1317 @ SV279 )
= $false )
| ( ( ~ ( SV1317 @ SV279 ) )
= $true )
| ( ( ~ ~ ( SV1317
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1317 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5210]) ).
thf(5495,plain,
! [SV279: b,SV1320: b > $o] :
( ( ( ~ ( SV1320 @ SV279 ) )
= $false )
| ( ( ~ ( SV1320 @ SV279 ) )
= $false )
| ( ( ~ ~ ( SV1320
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1320 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5211]) ).
thf(5498,plain,
! [SV279: b,SV1323: b > $o] :
( ( ( ~ ~ ( SV1323 @ SV279 ) )
= $false )
| ( ( ~ ( SV1323 @ SV279 ) )
= $true )
| ( ( ~ ~ ( SV1323
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1323 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5214]) ).
thf(5499,plain,
! [SV279: b,SV1326: b > $o] :
( ( ( ~ ~ ~ ( SV1326 @ SV279 ) )
= $false )
| ( ( ~ ( SV1326 @ SV279 ) )
= $false )
| ( ( ~ ~ ( SV1326
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1326 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5215]) ).
thf(5502,plain,
! [SV1332: b > $o] :
( ( ( SV1332
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ( SV1332 @ SX0 ) ) )
= $false )
| ( ( SV1332
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ( SV1332 @ SX0 ) ) )
= $false )
| ( ( ~ ~ ( SV1332
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1332 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5218]) ).
thf(5503,plain,
! [SV1335: b > $o] :
( ( ( SV1335
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ( SV1335 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV1335
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ( SV1335 @ SX0 ) ) ) )
= $false )
| ( ( ~ ~ ( SV1335
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1335 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5219]) ).
thf(5506,plain,
! [SV1338: b > $o] :
( ( ( ~ ( SV1338
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ~ ( SV1338 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV1338
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ~ ( SV1338 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ( SV1338
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1338 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5222]) ).
thf(5507,plain,
! [SV1341: b > $o] :
( ( ( ~ ~ ( SV1341
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1341 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV1341
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1341 @ SX0 ) ) ) )
= $false )
| ( ( ~ ~ ( SV1341
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1341 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5223]) ).
thf(5510,plain,
! [SV1344: b > $o] :
( ( ( ~ ~ ~ ( SV1344
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1344 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV1344
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1344 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ( SV1344
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1344 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5226]) ).
thf(5511,plain,
! [SV280: b,SV1350: b > $o] :
( ( ( SV1350 @ SV280 )
= $true )
| ( ( SV1350 @ SV280 )
= $true )
| ( ( ~ ~ ( SV1350
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1350 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5227]) ).
thf(5514,plain,
! [SV280: b,SV1353: b > $o] :
( ( ( SV1353 @ SV280 )
= $false )
| ( ( ~ ( SV1353 @ SV280 ) )
= $true )
| ( ( ~ ~ ( SV1353
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1353 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5230]) ).
thf(5515,plain,
! [SV280: b,SV1356: b > $o] :
( ( ( ~ ( SV1356 @ SV280 ) )
= $false )
| ( ( ~ ( SV1356 @ SV280 ) )
= $false )
| ( ( ~ ~ ( SV1356
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1356 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5231]) ).
thf(5518,plain,
! [SV280: b,SV1359: b > $o] :
( ( ( ~ ~ ( SV1359 @ SV280 ) )
= $false )
| ( ( ~ ( SV1359 @ SV280 ) )
= $true )
| ( ( ~ ~ ( SV1359
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1359 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5234]) ).
thf(5519,plain,
! [SV280: b,SV1362: b > $o] :
( ( ( ~ ~ ~ ( SV1362 @ SV280 ) )
= $false )
| ( ( ~ ( SV1362 @ SV280 ) )
= $false )
| ( ( ~ ~ ( SV1362
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1362 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5235]) ).
thf(5521,plain,
! [SV281: b,SV1368: b > $o] :
( ( ( SV1368 @ SV281 )
= $true )
| ( ( SV1368 @ SV281 )
= $true )
| ( ( ~ ~ ( SV1368
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1368 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5237]) ).
thf(5524,plain,
! [SV281: b,SV1371: b > $o] :
( ( ( SV1371 @ SV281 )
= $false )
| ( ( ~ ( SV1371 @ SV281 ) )
= $true )
| ( ( ~ ~ ( SV1371
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1371 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5240]) ).
thf(5525,plain,
! [SV281: b,SV1374: b > $o] :
( ( ( ~ ( SV1374 @ SV281 ) )
= $false )
| ( ( ~ ( SV1374 @ SV281 ) )
= $false )
| ( ( ~ ~ ( SV1374
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1374 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5241]) ).
thf(5528,plain,
! [SV281: b,SV1377: b > $o] :
( ( ( ~ ~ ( SV1377 @ SV281 ) )
= $false )
| ( ( ~ ( SV1377 @ SV281 ) )
= $true )
| ( ( ~ ~ ( SV1377
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1377 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5244]) ).
thf(5529,plain,
! [SV281: b,SV1380: b > $o] :
( ( ( ~ ~ ~ ( SV1380 @ SV281 ) )
= $false )
| ( ( ~ ( SV1380 @ SV281 ) )
= $false )
| ( ( ~ ~ ( SV1380
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1380 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5245]) ).
thf(5531,plain,
! [SV282: b,SV1386: b > $o] :
( ( ( SV1386 @ SV282 )
= $true )
| ( ( SV1386 @ SV282 )
= $true )
| ( ( ~ ~ ( SV1386
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1386 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5247]) ).
thf(5534,plain,
! [SV282: b,SV1389: b > $o] :
( ( ( SV1389 @ SV282 )
= $false )
| ( ( ~ ( SV1389 @ SV282 ) )
= $true )
| ( ( ~ ~ ( SV1389
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1389 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5250]) ).
thf(5535,plain,
! [SV282: b,SV1392: b > $o] :
( ( ( ~ ( SV1392 @ SV282 ) )
= $false )
| ( ( ~ ( SV1392 @ SV282 ) )
= $false )
| ( ( ~ ~ ( SV1392
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1392 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5251]) ).
thf(5538,plain,
! [SV282: b,SV1395: b > $o] :
( ( ( ~ ~ ( SV1395 @ SV282 ) )
= $false )
| ( ( ~ ( SV1395 @ SV282 ) )
= $true )
| ( ( ~ ~ ( SV1395
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1395 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5254]) ).
thf(5539,plain,
! [SV282: b,SV1398: b > $o] :
( ( ( ~ ~ ~ ( SV1398 @ SV282 ) )
= $false )
| ( ( ~ ( SV1398 @ SV282 ) )
= $false )
| ( ( ~ ~ ( SV1398
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1398 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5255]) ).
thf(5541,plain,
! [SV283: b,SV1404: b > $o] :
( ( ( SV1404 @ SV283 )
= $true )
| ( ( SV1404 @ SV283 )
= $true )
| ( ( ~ ~ ( SV1404
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1404 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5257]) ).
thf(5544,plain,
! [SV283: b,SV1407: b > $o] :
( ( ( SV1407 @ SV283 )
= $false )
| ( ( ~ ( SV1407 @ SV283 ) )
= $true )
| ( ( ~ ~ ( SV1407
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1407 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5260]) ).
thf(5545,plain,
! [SV283: b,SV1410: b > $o] :
( ( ( ~ ( SV1410 @ SV283 ) )
= $false )
| ( ( ~ ( SV1410 @ SV283 ) )
= $false )
| ( ( ~ ~ ( SV1410
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1410 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5261]) ).
thf(5548,plain,
! [SV283: b,SV1413: b > $o] :
( ( ( ~ ~ ( SV1413 @ SV283 ) )
= $false )
| ( ( ~ ( SV1413 @ SV283 ) )
= $true )
| ( ( ~ ~ ( SV1413
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1413 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5264]) ).
thf(5549,plain,
! [SV283: b,SV1416: b > $o] :
( ( ( ~ ~ ~ ( SV1416 @ SV283 ) )
= $false )
| ( ( ~ ( SV1416 @ SV283 ) )
= $false )
| ( ( ~ ~ ( SV1416
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1416 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5265]) ).
thf(5551,plain,
! [SV176: b,SV1422: b > $o] :
( ( ( SV1422 @ SV176 )
= $true )
| ( ( SV1422 @ SV176 )
= $true )
| ( ( ~ ~ ( SV1422
@ ( sK5_SY206
@ ^ [SX0: b] :
~ ( SV1422 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5267]) ).
thf(5554,plain,
! [SV176: b,SV1425: b > $o] :
( ( ( SV1425 @ SV176 )
= $false )
| ( ( ~ ( SV1425 @ SV176 ) )
= $true )
| ( ( ~ ~ ( SV1425
@ ( sK5_SY206
@ ^ [SX0: b] :
~ ~ ( SV1425 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5270]) ).
thf(5555,plain,
! [SV176: b,SV1428: b > $o] :
( ( ( ~ ( SV1428 @ SV176 ) )
= $false )
| ( ( ~ ( SV1428 @ SV176 ) )
= $false )
| ( ( ~ ~ ( SV1428
@ ( sK5_SY206
@ ^ [SX0: b] :
~ ~ ~ ( SV1428 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5271]) ).
thf(5558,plain,
! [SV176: b,SV1431: b > $o] :
( ( ( ~ ~ ( SV1431 @ SV176 ) )
= $false )
| ( ( ~ ( SV1431 @ SV176 ) )
= $true )
| ( ( ~ ~ ( SV1431
@ ( sK5_SY206
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1431 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5274]) ).
thf(5559,plain,
! [SV176: b,SV1434: b > $o] :
( ( ( ~ ~ ~ ( SV1434 @ SV176 ) )
= $false )
| ( ( ~ ( SV1434 @ SV176 ) )
= $false )
| ( ( ~ ~ ( SV1434
@ ( sK5_SY206
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1434 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5275]) ).
thf(5561,plain,
! [SV177: b,SV1440: b > $o] :
( ( ( SV1440 @ SV177 )
= $true )
| ( ( SV1440 @ SV177 )
= $true )
| ( ( ~ ~ ( SV1440
@ ( sK6_SY207
@ ^ [SX0: b] :
~ ( SV1440 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5277]) ).
thf(5564,plain,
! [SV177: b,SV1443: b > $o] :
( ( ( SV1443 @ SV177 )
= $false )
| ( ( ~ ( SV1443 @ SV177 ) )
= $true )
| ( ( ~ ~ ( SV1443
@ ( sK6_SY207
@ ^ [SX0: b] :
~ ~ ( SV1443 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5280]) ).
thf(5565,plain,
! [SV177: b,SV1446: b > $o] :
( ( ( ~ ( SV1446 @ SV177 ) )
= $false )
| ( ( ~ ( SV1446 @ SV177 ) )
= $false )
| ( ( ~ ~ ( SV1446
@ ( sK6_SY207
@ ^ [SX0: b] :
~ ~ ~ ( SV1446 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5281]) ).
thf(5568,plain,
! [SV177: b,SV1449: b > $o] :
( ( ( ~ ~ ( SV1449 @ SV177 ) )
= $false )
| ( ( ~ ( SV1449 @ SV177 ) )
= $true )
| ( ( ~ ~ ( SV1449
@ ( sK6_SY207
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1449 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5284]) ).
thf(5569,plain,
! [SV177: b,SV1452: b > $o] :
( ( ( ~ ~ ~ ( SV1452 @ SV177 ) )
= $false )
| ( ( ~ ( SV1452 @ SV177 ) )
= $false )
| ( ( ~ ~ ( SV1452
@ ( sK6_SY207
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1452 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5285]) ).
thf(5571,plain,
! [SV284: b,SV1458: b > $o] :
( ( ( SV1458 @ SV284 )
= $true )
| ( ( SV1458 @ SV284 )
= $true )
| ( ( ~ ~ ( SV1458
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1458 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5287]) ).
thf(5574,plain,
! [SV284: b,SV1461: b > $o] :
( ( ( SV1461 @ SV284 )
= $false )
| ( ( ~ ( SV1461 @ SV284 ) )
= $true )
| ( ( ~ ~ ( SV1461
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1461 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5290]) ).
thf(5575,plain,
! [SV284: b,SV1464: b > $o] :
( ( ( ~ ( SV1464 @ SV284 ) )
= $false )
| ( ( ~ ( SV1464 @ SV284 ) )
= $false )
| ( ( ~ ~ ( SV1464
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1464 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5291]) ).
thf(5578,plain,
! [SV284: b,SV1467: b > $o] :
( ( ( ~ ~ ( SV1467 @ SV284 ) )
= $false )
| ( ( ~ ( SV1467 @ SV284 ) )
= $true )
| ( ( ~ ~ ( SV1467
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1467 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5294]) ).
thf(5579,plain,
! [SV284: b,SV1470: b > $o] :
( ( ( ~ ~ ~ ( SV1470 @ SV284 ) )
= $false )
| ( ( ~ ( SV1470 @ SV284 ) )
= $false )
| ( ( ~ ~ ( SV1470
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1470 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5295]) ).
thf(5581,plain,
! [SV285: b,SV1476: b > $o] :
( ( ( SV1476 @ SV285 )
= $true )
| ( ( SV1476 @ SV285 )
= $true )
| ( ( ~ ~ ( SV1476
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1476 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5297]) ).
thf(5584,plain,
! [SV285: b,SV1479: b > $o] :
( ( ( SV1479 @ SV285 )
= $false )
| ( ( ~ ( SV1479 @ SV285 ) )
= $true )
| ( ( ~ ~ ( SV1479
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1479 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5300]) ).
thf(5585,plain,
! [SV285: b,SV1482: b > $o] :
( ( ( ~ ( SV1482 @ SV285 ) )
= $false )
| ( ( ~ ( SV1482 @ SV285 ) )
= $false )
| ( ( ~ ~ ( SV1482
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1482 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5301]) ).
thf(5588,plain,
! [SV285: b,SV1485: b > $o] :
( ( ( ~ ~ ( SV1485 @ SV285 ) )
= $false )
| ( ( ~ ( SV1485 @ SV285 ) )
= $true )
| ( ( ~ ~ ( SV1485
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1485 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5304]) ).
thf(5589,plain,
! [SV285: b,SV1488: b > $o] :
( ( ( ~ ~ ~ ( SV1488 @ SV285 ) )
= $false )
| ( ( ~ ( SV1488 @ SV285 ) )
= $false )
| ( ( ~ ~ ( SV1488
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1488 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5305]) ).
thf(5591,plain,
! [SV286: b,SV1494: b > $o] :
( ( ( SV1494 @ SV286 )
= $true )
| ( ( SV1494 @ SV286 )
= $true )
| ( ( ~ ~ ( SV1494
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1494 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5307]) ).
thf(5594,plain,
! [SV286: b,SV1497: b > $o] :
( ( ( SV1497 @ SV286 )
= $false )
| ( ( ~ ( SV1497 @ SV286 ) )
= $true )
| ( ( ~ ~ ( SV1497
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1497 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5310]) ).
thf(5595,plain,
! [SV286: b,SV1500: b > $o] :
( ( ( ~ ( SV1500 @ SV286 ) )
= $false )
| ( ( ~ ( SV1500 @ SV286 ) )
= $false )
| ( ( ~ ~ ( SV1500
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1500 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5311]) ).
thf(5598,plain,
! [SV286: b,SV1503: b > $o] :
( ( ( ~ ~ ( SV1503 @ SV286 ) )
= $false )
| ( ( ~ ( SV1503 @ SV286 ) )
= $true )
| ( ( ~ ~ ( SV1503
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1503 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5314]) ).
thf(5599,plain,
! [SV286: b,SV1506: b > $o] :
( ( ( ~ ~ ~ ( SV1506 @ SV286 ) )
= $false )
| ( ( ~ ( SV1506 @ SV286 ) )
= $false )
| ( ( ~ ~ ( SV1506
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1506 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5315]) ).
thf(5601,plain,
! [SV260: b,SV344: b > $o] :
( ( ( ~ ( SV344
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV344 @ SX0 ) ) ) )
= $true )
| ( ( SV344 @ SV260 )
= $true )
| ( ( SV344 @ SV260 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5317]) ).
thf(5604,plain,
! [SV260: b,SV347: b > $o] :
( ( ( SV347 @ SV260 )
= $false )
| ( ( SV347 @ SV260 )
= $false )
| ( ( ~ ~ ( SV347
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV347 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5320]) ).
thf(5605,plain,
! [SV260: b,SV350: b > $o] :
( ( ( SV350 @ SV260 )
= $true )
| ( ( ~ ( SV350 @ SV260 ) )
= $false )
| ( ( ~ ~ ( SV350
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV350 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5321]) ).
thf(5608,plain,
! [SV260: b,SV353: b > $o] :
( ( ( ~ ( SV353 @ SV260 ) )
= $true )
| ( ( ~ ( SV353 @ SV260 ) )
= $true )
| ( ( ~ ~ ( SV353
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV353 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5324]) ).
thf(5609,plain,
! [SV260: b,SV356: b > $o] :
( ( ( ~ ~ ( SV356 @ SV260 ) )
= $true )
| ( ( ~ ( SV356 @ SV260 ) )
= $false )
| ( ( ~ ~ ( SV356
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV356 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5325]) ).
thf(5611,plain,
! [SV265: b,SV362: b > $o] :
( ( ( ~ ( SV362
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV362 @ SX0 ) ) ) )
= $true )
| ( ( SV362 @ SV265 )
= $true )
| ( ( SV362 @ SV265 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5327]) ).
thf(5614,plain,
! [SV265: b,SV365: b > $o] :
( ( ( SV365 @ SV265 )
= $false )
| ( ( SV365 @ SV265 )
= $false )
| ( ( ~ ~ ( SV365
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV365 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5330]) ).
thf(5615,plain,
! [SV265: b,SV368: b > $o] :
( ( ( SV368 @ SV265 )
= $true )
| ( ( ~ ( SV368 @ SV265 ) )
= $false )
| ( ( ~ ~ ( SV368
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV368 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5331]) ).
thf(5618,plain,
! [SV265: b,SV371: b > $o] :
( ( ( ~ ( SV371 @ SV265 ) )
= $true )
| ( ( ~ ( SV371 @ SV265 ) )
= $true )
| ( ( ~ ~ ( SV371
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV371 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5334]) ).
thf(5619,plain,
! [SV265: b,SV374: b > $o] :
( ( ( ~ ~ ( SV374 @ SV265 ) )
= $true )
| ( ( ~ ( SV374 @ SV265 ) )
= $false )
| ( ( ~ ~ ( SV374
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV374 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5335]) ).
thf(5621,plain,
! [SV266: b,SV380: b > $o] :
( ( ( ~ ( SV380
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV380 @ SX0 ) ) ) )
= $true )
| ( ( SV380 @ SV266 )
= $true )
| ( ( SV380 @ SV266 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5337]) ).
thf(5624,plain,
! [SV266: b,SV383: b > $o] :
( ( ( SV383 @ SV266 )
= $false )
| ( ( SV383 @ SV266 )
= $false )
| ( ( ~ ~ ( SV383
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV383 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5340]) ).
thf(5625,plain,
! [SV266: b,SV386: b > $o] :
( ( ( SV386 @ SV266 )
= $true )
| ( ( ~ ( SV386 @ SV266 ) )
= $false )
| ( ( ~ ~ ( SV386
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV386 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5341]) ).
thf(5628,plain,
! [SV266: b,SV389: b > $o] :
( ( ( ~ ( SV389 @ SV266 ) )
= $true )
| ( ( ~ ( SV389 @ SV266 ) )
= $true )
| ( ( ~ ~ ( SV389
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV389 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5344]) ).
thf(5629,plain,
! [SV266: b,SV392: b > $o] :
( ( ( ~ ~ ( SV392 @ SV266 ) )
= $true )
| ( ( ~ ( SV392 @ SV266 ) )
= $false )
| ( ( ~ ~ ( SV392
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV392 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5345]) ).
thf(5631,plain,
! [SV398: b > $o,SV99: b] :
( ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV99 != SX0 )
| ~ ~ ( SV398 @ SX0 ) ) )
= ( insert_b @ SV99 @ bot_bot_set_b ) )
= $true )
| ( ( SV398 @ SV99 )
= $true )
| ( ( SV398 @ SV99 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5347]) ).
thf(5633,plain,
! [SV454: b > b > $o,SV486: b > set_b,SV485: b > b,SV99: b] :
( ( ( ( SV99
!= ( sK52_E
@ ^ [SX0: b] : ( insert_b @ ( SV485 @ SX0 ) @ ( SV486 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV454 @ SX0 @ SX1 ) ) )
| ~ ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV454
@ ( sK52_E
@ ^ [SX1: b] : ( insert_b @ ( SV485 @ SX1 ) @ ( SV486 @ SX1 ) )
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( SV454 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( insert_b
@ ( SV485
@ ( sK52_E
@ ^ [SX0: b] : ( insert_b @ ( SV485 @ SX0 ) @ ( SV486 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV454 @ SX0 @ SX1 ) ) )
@ ( SV486
@ ( sK52_E
@ ^ [SX0: b] : ( insert_b @ ( SV485 @ SX0 ) @ ( SV486 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV454 @ SX0 @ SX1 ) ) ) ) ) ) )
= $true )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV454 @ SV99 @ SX0 ) )
= ( insert_b @ ( SV485 @ SV99 ) @ ( SV486 @ SV99 ) ) )
= $true )
| ( ( ( insert_b @ ( SV485 @ SV99 ) @ ( SV486 @ SV99 ) )
= ( insert_b @ SV99 @ bot_bot_set_b ) )
= $false )
| ( ( SV454 @ SV99
@ ( sK52_E
@ ^ [SX0: b] : ( insert_b @ ( SV485 @ SX0 ) @ ( SV486 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV454 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5349]) ).
thf(5634,plain,
! [SV454: b > b > $o,SV482: b > set_b,SV481: b > b,SV99: b] :
( ( ( ( SV99
!= ( sK52_E
@ ^ [SX0: b] : ( insert_b @ ( SV481 @ SX0 ) @ ( SV482 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV454 @ SX0 @ SX1 ) ) )
| ~ ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV454
@ ( sK52_E
@ ^ [SX1: b] : ( insert_b @ ( SV481 @ SX1 ) @ ( SV482 @ SX1 ) )
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( SV454 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( insert_b
@ ( SV481
@ ( sK52_E
@ ^ [SX0: b] : ( insert_b @ ( SV481 @ SX0 ) @ ( SV482 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV454 @ SX0 @ SX1 ) ) )
@ ( SV482
@ ( sK52_E
@ ^ [SX0: b] : ( insert_b @ ( SV481 @ SX0 ) @ ( SV482 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV454 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV454 @ SV99 @ SX0 ) )
= ( insert_b @ ( SV481 @ SV99 ) @ ( SV482 @ SV99 ) ) )
= $true )
| ( ( ( insert_b @ ( SV481 @ SV99 ) @ ( SV482 @ SV99 ) )
= ( insert_b @ SV99 @ bot_bot_set_b ) )
= $false )
| ( ( SV454 @ SV99
@ ( sK52_E
@ ^ [SX0: b] : ( insert_b @ ( SV481 @ SX0 ) @ ( SV482 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV454 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5350]) ).
thf(5635,plain,
! [SV410: b > b > $o,SV442: b > set_b,SV441: b > b,SV99: b] :
( ( ( ( SV99
!= ( sK51_E
@ ^ [SX0: b] : ( insert_b @ ( SV441 @ SX0 ) @ ( SV442 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV410 @ SX0 @ SX1 ) ) )
| ~ ( ( ( insert_b
@ ( SV441
@ ( sK51_E
@ ^ [SX0: b] : ( insert_b @ ( SV441 @ SX0 ) @ ( SV442 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV410 @ SX0 @ SX1 ) ) )
@ ( SV442
@ ( sK51_E
@ ^ [SX0: b] : ( insert_b @ ( SV441 @ SX0 ) @ ( SV442 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV410 @ SX0 @ SX1 ) ) ) )
!= ( collect_b
@ ^ [SX0: b] :
~ ( SV410
@ ( sK51_E
@ ^ [SX1: b] : ( insert_b @ ( SV441 @ SX1 ) @ ( SV442 @ SX1 ) )
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( SV410 @ SX1 @ SX2 ) )
@ SX0 ) ) ) ) )
= $true )
| ( ( ( insert_b @ ( SV441 @ SV99 ) @ ( SV442 @ SV99 ) )
= ( collect_b
@ ^ [SX0: b] :
~ ( SV410 @ SV99 @ SX0 ) ) )
= $true )
| ( ( ( insert_b @ ( SV441 @ SV99 ) @ ( SV442 @ SV99 ) )
= ( insert_b @ SV99 @ bot_bot_set_b ) )
= $false )
| ( ( SV410 @ SV99
@ ( sK51_E
@ ^ [SX0: b] : ( insert_b @ ( SV441 @ SX0 ) @ ( SV442 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV410 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5351]) ).
thf(5636,plain,
! [SV410: b > b > $o,SV438: b > set_b,SV437: b > b,SV99: b] :
( ( ( ( SV99
!= ( sK51_E
@ ^ [SX0: b] : ( insert_b @ ( SV437 @ SX0 ) @ ( SV438 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV410 @ SX0 @ SX1 ) ) )
| ~ ( ( ( insert_b
@ ( SV437
@ ( sK51_E
@ ^ [SX0: b] : ( insert_b @ ( SV437 @ SX0 ) @ ( SV438 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV410 @ SX0 @ SX1 ) ) )
@ ( SV438
@ ( sK51_E
@ ^ [SX0: b] : ( insert_b @ ( SV437 @ SX0 ) @ ( SV438 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV410 @ SX0 @ SX1 ) ) ) )
!= ( collect_b
@ ^ [SX0: b] :
~ ( SV410
@ ( sK51_E
@ ^ [SX1: b] : ( insert_b @ ( SV437 @ SX1 ) @ ( SV438 @ SX1 ) )
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( SV410 @ SX1 @ SX2 ) )
@ SX0 ) ) ) ) )
= $false )
| ( ( ( insert_b @ ( SV437 @ SV99 ) @ ( SV438 @ SV99 ) )
= ( collect_b
@ ^ [SX0: b] :
~ ( SV410 @ SV99 @ SX0 ) ) )
= $true )
| ( ( ( insert_b @ ( SV437 @ SV99 ) @ ( SV438 @ SV99 ) )
= ( insert_b @ SV99 @ bot_bot_set_b ) )
= $false )
| ( ( SV410 @ SV99
@ ( sK51_E
@ ^ [SX0: b] : ( insert_b @ ( SV437 @ SX0 ) @ ( SV438 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV410 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5352]) ).
thf(5637,plain,
! [SV493: b > $o,SV124: b] :
( ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SX0 != SV124 )
| ~ ~ ( SV493 @ SX0 ) ) )
= ( insert_b @ SV124 @ bot_bot_set_b ) )
= $true )
| ( ( SV493 @ SV124 )
= $true )
| ( ( SV493 @ SV124 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5353]) ).
thf(5639,plain,
! [SV549: b > b > $o,SV124: b,SV581: b > set_b,SV580: b > b] :
( ( ( ( ( sK54_E
@ ^ [SX0: b] : ( insert_b @ ( SV580 @ SX0 ) @ ( SV581 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV549 @ SX0 @ SX1 ) )
!= SV124 )
| ~ ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV549
@ ( sK54_E
@ ^ [SX1: b] : ( insert_b @ ( SV580 @ SX1 ) @ ( SV581 @ SX1 ) )
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( SV549 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( insert_b
@ ( SV580
@ ( sK54_E
@ ^ [SX0: b] : ( insert_b @ ( SV580 @ SX0 ) @ ( SV581 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV549 @ SX0 @ SX1 ) ) )
@ ( SV581
@ ( sK54_E
@ ^ [SX0: b] : ( insert_b @ ( SV580 @ SX0 ) @ ( SV581 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV549 @ SX0 @ SX1 ) ) ) ) ) ) )
= $true )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV549 @ SV124 @ SX0 ) )
= ( insert_b @ ( SV580 @ SV124 ) @ ( SV581 @ SV124 ) ) )
= $true )
| ( ( ( insert_b @ ( SV580 @ SV124 ) @ ( SV581 @ SV124 ) )
= ( insert_b @ SV124 @ bot_bot_set_b ) )
= $false )
| ( ( SV549 @ SV124
@ ( sK54_E
@ ^ [SX0: b] : ( insert_b @ ( SV580 @ SX0 ) @ ( SV581 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV549 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5355]) ).
thf(5640,plain,
! [SV549: b > b > $o,SV124: b,SV577: b > set_b,SV576: b > b] :
( ( ( ( ( sK54_E
@ ^ [SX0: b] : ( insert_b @ ( SV576 @ SX0 ) @ ( SV577 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV549 @ SX0 @ SX1 ) )
!= SV124 )
| ~ ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV549
@ ( sK54_E
@ ^ [SX1: b] : ( insert_b @ ( SV576 @ SX1 ) @ ( SV577 @ SX1 ) )
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( SV549 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( insert_b
@ ( SV576
@ ( sK54_E
@ ^ [SX0: b] : ( insert_b @ ( SV576 @ SX0 ) @ ( SV577 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV549 @ SX0 @ SX1 ) ) )
@ ( SV577
@ ( sK54_E
@ ^ [SX0: b] : ( insert_b @ ( SV576 @ SX0 ) @ ( SV577 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV549 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV549 @ SV124 @ SX0 ) )
= ( insert_b @ ( SV576 @ SV124 ) @ ( SV577 @ SV124 ) ) )
= $true )
| ( ( ( insert_b @ ( SV576 @ SV124 ) @ ( SV577 @ SV124 ) )
= ( insert_b @ SV124 @ bot_bot_set_b ) )
= $false )
| ( ( SV549 @ SV124
@ ( sK54_E
@ ^ [SX0: b] : ( insert_b @ ( SV576 @ SX0 ) @ ( SV577 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV549 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5356]) ).
thf(5641,plain,
! [SV505: b > b > $o,SV124: b,SV537: b > set_b,SV536: b > b] :
( ( ( ( ( sK53_E
@ ^ [SX0: b] : ( insert_b @ ( SV536 @ SX0 ) @ ( SV537 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV505 @ SX0 @ SX1 ) )
!= SV124 )
| ~ ( ( ( insert_b
@ ( SV536
@ ( sK53_E
@ ^ [SX0: b] : ( insert_b @ ( SV536 @ SX0 ) @ ( SV537 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV505 @ SX0 @ SX1 ) ) )
@ ( SV537
@ ( sK53_E
@ ^ [SX0: b] : ( insert_b @ ( SV536 @ SX0 ) @ ( SV537 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV505 @ SX0 @ SX1 ) ) ) )
!= ( collect_b
@ ^ [SX0: b] :
~ ( SV505
@ ( sK53_E
@ ^ [SX1: b] : ( insert_b @ ( SV536 @ SX1 ) @ ( SV537 @ SX1 ) )
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( SV505 @ SX1 @ SX2 ) )
@ SX0 ) ) ) ) )
= $true )
| ( ( ( insert_b @ ( SV536 @ SV124 ) @ ( SV537 @ SV124 ) )
= ( collect_b
@ ^ [SX0: b] :
~ ( SV505 @ SV124 @ SX0 ) ) )
= $true )
| ( ( ( insert_b @ ( SV536 @ SV124 ) @ ( SV537 @ SV124 ) )
= ( insert_b @ SV124 @ bot_bot_set_b ) )
= $false )
| ( ( SV505 @ SV124
@ ( sK53_E
@ ^ [SX0: b] : ( insert_b @ ( SV536 @ SX0 ) @ ( SV537 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV505 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5357]) ).
thf(5642,plain,
! [SV505: b > b > $o,SV124: b,SV533: b > set_b,SV532: b > b] :
( ( ( ( ( sK53_E
@ ^ [SX0: b] : ( insert_b @ ( SV532 @ SX0 ) @ ( SV533 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV505 @ SX0 @ SX1 ) )
!= SV124 )
| ~ ( ( ( insert_b
@ ( SV532
@ ( sK53_E
@ ^ [SX0: b] : ( insert_b @ ( SV532 @ SX0 ) @ ( SV533 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV505 @ SX0 @ SX1 ) ) )
@ ( SV533
@ ( sK53_E
@ ^ [SX0: b] : ( insert_b @ ( SV532 @ SX0 ) @ ( SV533 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV505 @ SX0 @ SX1 ) ) ) )
!= ( collect_b
@ ^ [SX0: b] :
~ ( SV505
@ ( sK53_E
@ ^ [SX1: b] : ( insert_b @ ( SV532 @ SX1 ) @ ( SV533 @ SX1 ) )
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( SV505 @ SX1 @ SX2 ) )
@ SX0 ) ) ) ) )
= $false )
| ( ( ( insert_b @ ( SV532 @ SV124 ) @ ( SV533 @ SV124 ) )
= ( collect_b
@ ^ [SX0: b] :
~ ( SV505 @ SV124 @ SX0 ) ) )
= $true )
| ( ( ( insert_b @ ( SV532 @ SV124 ) @ ( SV533 @ SV124 ) )
= ( insert_b @ SV124 @ bot_bot_set_b ) )
= $false )
| ( ( SV505 @ SV124
@ ( sK53_E
@ ^ [SX0: b] : ( insert_b @ ( SV532 @ SX0 ) @ ( SV533 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV505 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5358]) ).
thf(5643,plain,
! [SV267: b,SV588: b > $o] :
( ( ( ~ ( SV588
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV588 @ SX0 ) ) ) )
= $true )
| ( ( SV588 @ SV267 )
= $true )
| ( ( SV588 @ SV267 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5359]) ).
thf(5646,plain,
! [SV267: b,SV591: b > $o] :
( ( ( SV591 @ SV267 )
= $false )
| ( ( SV591 @ SV267 )
= $false )
| ( ( ~ ~ ( SV591
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV591 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5362]) ).
thf(5647,plain,
! [SV267: b,SV594: b > $o] :
( ( ( SV594 @ SV267 )
= $true )
| ( ( ~ ( SV594 @ SV267 ) )
= $false )
| ( ( ~ ~ ( SV594
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV594 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5363]) ).
thf(5650,plain,
! [SV267: b,SV597: b > $o] :
( ( ( ~ ( SV597 @ SV267 ) )
= $true )
| ( ( ~ ( SV597 @ SV267 ) )
= $true )
| ( ( ~ ~ ( SV597
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV597 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5366]) ).
thf(5651,plain,
! [SV267: b,SV600: b > $o] :
( ( ( ~ ~ ( SV600 @ SV267 ) )
= $true )
| ( ( ~ ( SV600 @ SV267 ) )
= $false )
| ( ( ~ ~ ( SV600
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV600 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5367]) ).
thf(5653,plain,
! [SV681: b > b > $o,SV99: b] :
( ( ( SV99
!= ( sK56_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV681 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV681
@ ( sK56_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( SV681 @ SX1 @ SX2 ) )
@ SX0 ) )
!= bot_bot_set_b )
= $true )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV681 @ SV99 @ SX0 ) )
= bot_bot_set_b )
= $true )
| ( ( SV681 @ SV99
@ ( sK56_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV681 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5369]) ).
thf(5654,plain,
! [SV681: b > b > $o,SV99: b] :
( ( ( SV99
!= ( sK56_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV681 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV681 @ SV99 @ SX0 ) )
= bot_bot_set_b )
= $true )
| ( ( SV681 @ SV99
@ ( sK56_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV681 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5370]) ).
thf(5655,plain,
! [SV99: b,SV681: b > b > $o] :
( ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV681
@ ( sK56_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( SV681 @ SX1 @ SX2 ) )
@ SX0 ) )
!= bot_bot_set_b )
= $false )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV681 @ SV99 @ SX0 ) )
= bot_bot_set_b )
= $true )
| ( ( SV681 @ SV99
@ ( sK56_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV681 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5370]) ).
thf(5656,plain,
! [SV687: b > b > $o,SV686: b > b > $o,SV99: b] :
( ( ( SV99
= ( sK56_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV686 @ SX0 @ SX1 )
| ( SV687 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV686 @ SV99 @ SX0 )
| ( SV687 @ SV99 @ SX0 ) ) )
= bot_bot_set_b )
= $true )
| ( ( SV686 @ SV99
@ ( sK56_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV686 @ SX0 @ SX1 )
| ( SV687 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5371]) ).
thf(5657,plain,
! [SV687: b > b > $o,SV99: b,SV686: b > b > $o] :
( ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV686
@ ( sK56_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( ( SV686 @ SX1 @ SX2 )
| ( SV687 @ SX1 @ SX2 ) ) )
@ SX0 )
| ( SV687
@ ( sK56_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( ( SV686 @ SX1 @ SX2 )
| ( SV687 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= bot_bot_set_b )
= $true )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV686 @ SV99 @ SX0 )
| ( SV687 @ SV99 @ SX0 ) ) )
= bot_bot_set_b )
= $true )
| ( ( SV686 @ SV99
@ ( sK56_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV686 @ SX0 @ SX1 )
| ( SV687 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5372]) ).
thf(5658,plain,
! [SV687: b > b > $o,SV686: b > b > $o,SV99: b] :
( ( ( SV99
= ( sK56_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV686 @ SX0 @ SX1 )
| ( SV687 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV686 @ SV99 @ SX0 )
| ( SV687 @ SV99 @ SX0 ) ) )
= bot_bot_set_b )
= $true )
| ( ( SV687 @ SV99
@ ( sK56_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV686 @ SX0 @ SX1 )
| ( SV687 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5373]) ).
thf(5659,plain,
! [SV687: b > b > $o,SV99: b,SV686: b > b > $o] :
( ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV686
@ ( sK56_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( ( SV686 @ SX1 @ SX2 )
| ( SV687 @ SX1 @ SX2 ) ) )
@ SX0 )
| ( SV687
@ ( sK56_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( ( SV686 @ SX1 @ SX2 )
| ( SV687 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= bot_bot_set_b )
= $true )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV686 @ SV99 @ SX0 )
| ( SV687 @ SV99 @ SX0 ) ) )
= bot_bot_set_b )
= $true )
| ( ( SV687 @ SV99
@ ( sK56_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV686 @ SX0 @ SX1 )
| ( SV687 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5374]) ).
thf(5660,plain,
! [SV687: b > b > $o,SV686: b > b > $o,SV99: b] :
( ( ( SV99
= ( sK56_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV686 @ SX0 @ SX1 )
| ( SV687 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV686
@ ( sK56_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( ( SV686 @ SX1 @ SX2 )
| ( SV687 @ SX1 @ SX2 ) ) )
@ SX0 )
| ( SV687
@ ( sK56_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( ( SV686 @ SX1 @ SX2 )
| ( SV687 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
!= bot_bot_set_b )
= $true )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV686 @ SV99 @ SX0 )
| ( SV687 @ SV99 @ SX0 ) ) )
= bot_bot_set_b )
= $true )
| ( ( SV687 @ SV99
@ ( sK56_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV686 @ SX0 @ SX1 )
| ( SV687 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV686 @ SV99
@ ( sK56_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV686 @ SX0 @ SX1 )
| ( SV687 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5375]) ).
thf(5661,plain,
! [SV615: b > b > $o,SV99: b] :
( ( ( SV99
!= ( sK55_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV615 @ SX0 @ SX1 ) ) )
= $true )
| ( ( bot_bot_set_b
!= ( collect_b
@ ^ [SX0: b] :
~ ( SV615
@ ( sK55_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( SV615 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true )
| ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( SV615 @ SV99 @ SX0 ) ) )
= $true )
| ( ( SV615 @ SV99
@ ( sK55_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV615 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5376]) ).
thf(5662,plain,
! [SV615: b > b > $o,SV99: b] :
( ( ( SV99
!= ( sK55_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV615 @ SX0 @ SX1 ) ) )
= $false )
| ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( SV615 @ SV99 @ SX0 ) ) )
= $true )
| ( ( SV615 @ SV99
@ ( sK55_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV615 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5377]) ).
thf(5663,plain,
! [SV99: b,SV615: b > b > $o] :
( ( ( bot_bot_set_b
!= ( collect_b
@ ^ [SX0: b] :
~ ( SV615
@ ( sK55_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( SV615 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $false )
| ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( SV615 @ SV99 @ SX0 ) ) )
= $true )
| ( ( SV615 @ SV99
@ ( sK55_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV615 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5377]) ).
thf(5664,plain,
! [SV621: b > b > $o,SV620: b > b > $o,SV99: b] :
( ( ( SV99
= ( sK55_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV620 @ SX0 @ SX1 )
| ( SV621 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV620 @ SV99 @ SX0 )
| ( SV621 @ SV99 @ SX0 ) ) ) )
= $true )
| ( ( SV620 @ SV99
@ ( sK55_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV620 @ SX0 @ SX1 )
| ( SV621 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5378]) ).
thf(5665,plain,
! [SV621: b > b > $o,SV99: b,SV620: b > b > $o] :
( ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV620
@ ( sK55_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( ( SV620 @ SX1 @ SX2 )
| ( SV621 @ SX1 @ SX2 ) ) )
@ SX0 )
| ( SV621
@ ( sK55_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( ( SV620 @ SX1 @ SX2 )
| ( SV621 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
= $true )
| ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV620 @ SV99 @ SX0 )
| ( SV621 @ SV99 @ SX0 ) ) ) )
= $true )
| ( ( SV620 @ SV99
@ ( sK55_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV620 @ SX0 @ SX1 )
| ( SV621 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5379]) ).
thf(5666,plain,
! [SV621: b > b > $o,SV620: b > b > $o,SV99: b] :
( ( ( SV99
= ( sK55_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV620 @ SX0 @ SX1 )
| ( SV621 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV620 @ SV99 @ SX0 )
| ( SV621 @ SV99 @ SX0 ) ) ) )
= $true )
| ( ( SV621 @ SV99
@ ( sK55_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV620 @ SX0 @ SX1 )
| ( SV621 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5380]) ).
thf(5667,plain,
! [SV621: b > b > $o,SV99: b,SV620: b > b > $o] :
( ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV620
@ ( sK55_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( ( SV620 @ SX1 @ SX2 )
| ( SV621 @ SX1 @ SX2 ) ) )
@ SX0 )
| ( SV621
@ ( sK55_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( ( SV620 @ SX1 @ SX2 )
| ( SV621 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
= $true )
| ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV620 @ SV99 @ SX0 )
| ( SV621 @ SV99 @ SX0 ) ) ) )
= $true )
| ( ( SV621 @ SV99
@ ( sK55_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV620 @ SX0 @ SX1 )
| ( SV621 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5381]) ).
thf(5668,plain,
! [SV621: b > b > $o,SV620: b > b > $o,SV99: b] :
( ( ( SV99
= ( sK55_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV620 @ SX0 @ SX1 )
| ( SV621 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( bot_bot_set_b
!= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV620
@ ( sK55_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( ( SV620 @ SX1 @ SX2 )
| ( SV621 @ SX1 @ SX2 ) ) )
@ SX0 )
| ( SV621
@ ( sK55_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( ( SV620 @ SX1 @ SX2 )
| ( SV621 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
= $true )
| ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV620 @ SV99 @ SX0 )
| ( SV621 @ SV99 @ SX0 ) ) ) )
= $true )
| ( ( SV621 @ SV99
@ ( sK55_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV620 @ SX0 @ SX1 )
| ( SV621 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV620 @ SV99
@ ( sK55_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV620 @ SX0 @ SX1 )
| ( SV621 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5382]) ).
thf(5679,plain,
! [SV268: b,SV760: b > $o] :
( ( ( ~ ( SV760
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV760 @ SX0 ) ) ) )
= $true )
| ( ( SV760 @ SV268 )
= $true )
| ( ( SV760 @ SV268 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5393]) ).
thf(5682,plain,
! [SV268: b,SV763: b > $o] :
( ( ( SV763 @ SV268 )
= $false )
| ( ( SV763 @ SV268 )
= $false )
| ( ( ~ ~ ( SV763
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV763 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5396]) ).
thf(5683,plain,
! [SV268: b,SV766: b > $o] :
( ( ( SV766 @ SV268 )
= $true )
| ( ( ~ ( SV766 @ SV268 ) )
= $false )
| ( ( ~ ~ ( SV766
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV766 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5397]) ).
thf(5686,plain,
! [SV268: b,SV769: b > $o] :
( ( ( ~ ( SV769 @ SV268 ) )
= $true )
| ( ( ~ ( SV769 @ SV268 ) )
= $true )
| ( ( ~ ~ ( SV769
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV769 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5400]) ).
thf(5687,plain,
! [SV268: b,SV772: b > $o] :
( ( ( ~ ~ ( SV772 @ SV268 ) )
= $true )
| ( ( ~ ( SV772 @ SV268 ) )
= $false )
| ( ( ~ ~ ( SV772
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV772 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5401]) ).
thf(5699,plain,
! [SV269: b,SV796: b > $o] :
( ( ( ~ ( SV796
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV796 @ SX0 ) ) ) )
= $true )
| ( ( SV796 @ SV269 )
= $true )
| ( ( SV796 @ SV269 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5413]) ).
thf(5702,plain,
! [SV269: b,SV799: b > $o] :
( ( ( SV799 @ SV269 )
= $false )
| ( ( SV799 @ SV269 )
= $false )
| ( ( ~ ~ ( SV799
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV799 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5416]) ).
thf(5703,plain,
! [SV269: b,SV802: b > $o] :
( ( ( SV802 @ SV269 )
= $true )
| ( ( ~ ( SV802 @ SV269 ) )
= $false )
| ( ( ~ ~ ( SV802
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV802 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5417]) ).
thf(5706,plain,
! [SV269: b,SV805: b > $o] :
( ( ( ~ ( SV805 @ SV269 ) )
= $true )
| ( ( ~ ( SV805 @ SV269 ) )
= $true )
| ( ( ~ ~ ( SV805
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV805 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5420]) ).
thf(5707,plain,
! [SV269: b,SV808: b > $o] :
( ( ( ~ ~ ( SV808 @ SV269 ) )
= $true )
| ( ( ~ ( SV808 @ SV269 ) )
= $false )
| ( ( ~ ~ ( SV808
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV808 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5421]) ).
thf(5709,plain,
! [SV270: b,SV814: b > $o] :
( ( ( ~ ( SV814
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV814 @ SX0 ) ) ) )
= $true )
| ( ( SV814 @ SV270 )
= $true )
| ( ( SV814 @ SV270 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5423]) ).
thf(5712,plain,
! [SV270: b,SV817: b > $o] :
( ( ( SV817 @ SV270 )
= $false )
| ( ( SV817 @ SV270 )
= $false )
| ( ( ~ ~ ( SV817
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV817 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5426]) ).
thf(5713,plain,
! [SV270: b,SV820: b > $o] :
( ( ( SV820 @ SV270 )
= $true )
| ( ( ~ ( SV820 @ SV270 ) )
= $false )
| ( ( ~ ~ ( SV820
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV820 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5427]) ).
thf(5716,plain,
! [SV270: b,SV823: b > $o] :
( ( ( ~ ( SV823 @ SV270 ) )
= $true )
| ( ( ~ ( SV823 @ SV270 ) )
= $true )
| ( ( ~ ~ ( SV823
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV823 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5430]) ).
thf(5717,plain,
! [SV270: b,SV826: b > $o] :
( ( ( ~ ~ ( SV826 @ SV270 ) )
= $true )
| ( ( ~ ( SV826 @ SV270 ) )
= $false )
| ( ( ~ ~ ( SV826
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV826 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5431]) ).
thf(5719,plain,
! [SV907: b > b > $o,SV124: b] :
( ( ( ( sK58_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV907 @ SX0 @ SX1 ) )
!= SV124 )
= $true )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV907
@ ( sK58_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( SV907 @ SX1 @ SX2 ) )
@ SX0 ) )
!= bot_bot_set_b )
= $true )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV907 @ SV124 @ SX0 ) )
= bot_bot_set_b )
= $true )
| ( ( SV907 @ SV124
@ ( sK58_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV907 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5433]) ).
thf(5720,plain,
! [SV907: b > b > $o,SV124: b] :
( ( ( ( sK58_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV907 @ SX0 @ SX1 ) )
!= SV124 )
= $false )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV907 @ SV124 @ SX0 ) )
= bot_bot_set_b )
= $true )
| ( ( SV907 @ SV124
@ ( sK58_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV907 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5434]) ).
thf(5721,plain,
! [SV124: b,SV907: b > b > $o] :
( ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV907
@ ( sK58_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( SV907 @ SX1 @ SX2 ) )
@ SX0 ) )
!= bot_bot_set_b )
= $false )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV907 @ SV124 @ SX0 ) )
= bot_bot_set_b )
= $true )
| ( ( SV907 @ SV124
@ ( sK58_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV907 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5434]) ).
thf(5722,plain,
! [SV913: b > b > $o,SV912: b > b > $o,SV124: b] :
( ( ( ( sK58_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV912 @ SX0 @ SX1 )
| ( SV913 @ SX0 @ SX1 ) ) )
= SV124 )
= $true )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV912 @ SV124 @ SX0 )
| ( SV913 @ SV124 @ SX0 ) ) )
= bot_bot_set_b )
= $true )
| ( ( SV912 @ SV124
@ ( sK58_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV912 @ SX0 @ SX1 )
| ( SV913 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5435]) ).
thf(5723,plain,
! [SV913: b > b > $o,SV124: b,SV912: b > b > $o] :
( ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV912
@ ( sK58_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( ( SV912 @ SX1 @ SX2 )
| ( SV913 @ SX1 @ SX2 ) ) )
@ SX0 )
| ( SV913
@ ( sK58_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( ( SV912 @ SX1 @ SX2 )
| ( SV913 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= bot_bot_set_b )
= $true )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV912 @ SV124 @ SX0 )
| ( SV913 @ SV124 @ SX0 ) ) )
= bot_bot_set_b )
= $true )
| ( ( SV912 @ SV124
@ ( sK58_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV912 @ SX0 @ SX1 )
| ( SV913 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5436]) ).
thf(5724,plain,
! [SV913: b > b > $o,SV912: b > b > $o,SV124: b] :
( ( ( ( sK58_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV912 @ SX0 @ SX1 )
| ( SV913 @ SX0 @ SX1 ) ) )
= SV124 )
= $true )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV912 @ SV124 @ SX0 )
| ( SV913 @ SV124 @ SX0 ) ) )
= bot_bot_set_b )
= $true )
| ( ( SV913 @ SV124
@ ( sK58_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV912 @ SX0 @ SX1 )
| ( SV913 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5437]) ).
thf(5725,plain,
! [SV913: b > b > $o,SV124: b,SV912: b > b > $o] :
( ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV912
@ ( sK58_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( ( SV912 @ SX1 @ SX2 )
| ( SV913 @ SX1 @ SX2 ) ) )
@ SX0 )
| ( SV913
@ ( sK58_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( ( SV912 @ SX1 @ SX2 )
| ( SV913 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= bot_bot_set_b )
= $true )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV912 @ SV124 @ SX0 )
| ( SV913 @ SV124 @ SX0 ) ) )
= bot_bot_set_b )
= $true )
| ( ( SV913 @ SV124
@ ( sK58_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV912 @ SX0 @ SX1 )
| ( SV913 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5438]) ).
thf(5726,plain,
! [SV913: b > b > $o,SV912: b > b > $o,SV124: b] :
( ( ( ( sK58_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV912 @ SX0 @ SX1 )
| ( SV913 @ SX0 @ SX1 ) ) )
= SV124 )
= $false )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV912
@ ( sK58_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( ( SV912 @ SX1 @ SX2 )
| ( SV913 @ SX1 @ SX2 ) ) )
@ SX0 )
| ( SV913
@ ( sK58_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( ( SV912 @ SX1 @ SX2 )
| ( SV913 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
!= bot_bot_set_b )
= $true )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV912 @ SV124 @ SX0 )
| ( SV913 @ SV124 @ SX0 ) ) )
= bot_bot_set_b )
= $true )
| ( ( SV913 @ SV124
@ ( sK58_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV912 @ SX0 @ SX1 )
| ( SV913 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV912 @ SV124
@ ( sK58_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV912 @ SX0 @ SX1 )
| ( SV913 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5439]) ).
thf(5727,plain,
! [SV841: b > b > $o,SV124: b] :
( ( ( ( sK57_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV841 @ SX0 @ SX1 ) )
!= SV124 )
= $true )
| ( ( bot_bot_set_b
!= ( collect_b
@ ^ [SX0: b] :
~ ( SV841
@ ( sK57_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( SV841 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true )
| ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( SV841 @ SV124 @ SX0 ) ) )
= $true )
| ( ( SV841 @ SV124
@ ( sK57_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV841 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5440]) ).
thf(5728,plain,
! [SV841: b > b > $o,SV124: b] :
( ( ( ( sK57_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV841 @ SX0 @ SX1 ) )
!= SV124 )
= $false )
| ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( SV841 @ SV124 @ SX0 ) ) )
= $true )
| ( ( SV841 @ SV124
@ ( sK57_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV841 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5441]) ).
thf(5729,plain,
! [SV124: b,SV841: b > b > $o] :
( ( ( bot_bot_set_b
!= ( collect_b
@ ^ [SX0: b] :
~ ( SV841
@ ( sK57_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( SV841 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $false )
| ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( SV841 @ SV124 @ SX0 ) ) )
= $true )
| ( ( SV841 @ SV124
@ ( sK57_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV841 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5441]) ).
thf(5730,plain,
! [SV847: b > b > $o,SV846: b > b > $o,SV124: b] :
( ( ( ( sK57_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV846 @ SX0 @ SX1 )
| ( SV847 @ SX0 @ SX1 ) ) )
= SV124 )
= $true )
| ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV846 @ SV124 @ SX0 )
| ( SV847 @ SV124 @ SX0 ) ) ) )
= $true )
| ( ( SV846 @ SV124
@ ( sK57_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV846 @ SX0 @ SX1 )
| ( SV847 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5442]) ).
thf(5731,plain,
! [SV847: b > b > $o,SV124: b,SV846: b > b > $o] :
( ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV846
@ ( sK57_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( ( SV846 @ SX1 @ SX2 )
| ( SV847 @ SX1 @ SX2 ) ) )
@ SX0 )
| ( SV847
@ ( sK57_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( ( SV846 @ SX1 @ SX2 )
| ( SV847 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
= $true )
| ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV846 @ SV124 @ SX0 )
| ( SV847 @ SV124 @ SX0 ) ) ) )
= $true )
| ( ( SV846 @ SV124
@ ( sK57_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV846 @ SX0 @ SX1 )
| ( SV847 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5443]) ).
thf(5732,plain,
! [SV847: b > b > $o,SV846: b > b > $o,SV124: b] :
( ( ( ( sK57_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV846 @ SX0 @ SX1 )
| ( SV847 @ SX0 @ SX1 ) ) )
= SV124 )
= $true )
| ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV846 @ SV124 @ SX0 )
| ( SV847 @ SV124 @ SX0 ) ) ) )
= $true )
| ( ( SV847 @ SV124
@ ( sK57_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV846 @ SX0 @ SX1 )
| ( SV847 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5444]) ).
thf(5733,plain,
! [SV847: b > b > $o,SV124: b,SV846: b > b > $o] :
( ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV846
@ ( sK57_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( ( SV846 @ SX1 @ SX2 )
| ( SV847 @ SX1 @ SX2 ) ) )
@ SX0 )
| ( SV847
@ ( sK57_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( ( SV846 @ SX1 @ SX2 )
| ( SV847 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
= $true )
| ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV846 @ SV124 @ SX0 )
| ( SV847 @ SV124 @ SX0 ) ) ) )
= $true )
| ( ( SV847 @ SV124
@ ( sK57_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV846 @ SX0 @ SX1 )
| ( SV847 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5445]) ).
thf(5734,plain,
! [SV847: b > b > $o,SV846: b > b > $o,SV124: b] :
( ( ( ( sK57_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV846 @ SX0 @ SX1 )
| ( SV847 @ SX0 @ SX1 ) ) )
= SV124 )
= $false )
| ( ( bot_bot_set_b
!= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV846
@ ( sK57_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( ( SV846 @ SX1 @ SX2 )
| ( SV847 @ SX1 @ SX2 ) ) )
@ SX0 )
| ( SV847
@ ( sK57_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( ( SV846 @ SX1 @ SX2 )
| ( SV847 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
= $true )
| ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV846 @ SV124 @ SX0 )
| ( SV847 @ SV124 @ SX0 ) ) ) )
= $true )
| ( ( SV847 @ SV124
@ ( sK57_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV846 @ SX0 @ SX1 )
| ( SV847 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV846 @ SV124
@ ( sK57_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV846 @ SX0 @ SX1 )
| ( SV847 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5446]) ).
thf(5736,plain,
! [SV968: b > $o,SV19: b] :
( ( ( member_b @ SV19
@ ( collect_b
@ ^ [SX0: b] :
~ ( SV968 @ SX0 ) ) )
= $false )
| ( ( SV968 @ SV19 )
= $false )
| ( ( SV968 @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5448]) ).
thf(5737,plain,
! [SV975: b > $o,SV19: b] :
( ( ( member_b @ SV19
@ ( collect_b
@ ^ [SX0: b] :
~ ( SV975 @ SX0 ) ) )
= $true )
| ( ( SV975 @ SV19 )
= $true )
| ( ( SV975 @ SV19 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5449]) ).
thf(5739,plain,
! [SV273: b,SV982: b > $o] :
( ( ( ~ ( SV982
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV982 @ SX0 ) ) ) )
= $true )
| ( ( SV982 @ SV273 )
= $true )
| ( ( SV982 @ SV273 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5451]) ).
thf(5742,plain,
! [SV273: b,SV985: b > $o] :
( ( ( SV985 @ SV273 )
= $false )
| ( ( SV985 @ SV273 )
= $false )
| ( ( ~ ~ ( SV985
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV985 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5454]) ).
thf(5743,plain,
! [SV273: b,SV988: b > $o] :
( ( ( SV988 @ SV273 )
= $true )
| ( ( ~ ( SV988 @ SV273 ) )
= $false )
| ( ( ~ ~ ( SV988
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV988 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5455]) ).
thf(5746,plain,
! [SV273: b,SV991: b > $o] :
( ( ( ~ ( SV991 @ SV273 ) )
= $true )
| ( ( ~ ( SV991 @ SV273 ) )
= $true )
| ( ( ~ ~ ( SV991
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV991 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5458]) ).
thf(5747,plain,
! [SV273: b,SV994: b > $o] :
( ( ( ~ ~ ( SV994 @ SV273 ) )
= $true )
| ( ( ~ ( SV994 @ SV273 ) )
= $false )
| ( ( ~ ~ ( SV994
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV994 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5459]) ).
thf(5749,plain,
! [SV274: b,SV1000: b > $o] :
( ( ( ~ ( SV1000
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1000 @ SX0 ) ) ) )
= $true )
| ( ( SV1000 @ SV274 )
= $true )
| ( ( SV1000 @ SV274 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5461]) ).
thf(5752,plain,
! [SV274: b,SV1003: b > $o] :
( ( ( SV1003 @ SV274 )
= $false )
| ( ( SV1003 @ SV274 )
= $false )
| ( ( ~ ~ ( SV1003
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1003 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5464]) ).
thf(5753,plain,
! [SV274: b,SV1006: b > $o] :
( ( ( SV1006 @ SV274 )
= $true )
| ( ( ~ ( SV1006 @ SV274 ) )
= $false )
| ( ( ~ ~ ( SV1006
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1006 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5465]) ).
thf(5756,plain,
! [SV274: b,SV1009: b > $o] :
( ( ( ~ ( SV1009 @ SV274 ) )
= $true )
| ( ( ~ ( SV1009 @ SV274 ) )
= $true )
| ( ( ~ ~ ( SV1009
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1009 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5468]) ).
thf(5757,plain,
! [SV274: b,SV1012: b > $o] :
( ( ( ~ ~ ( SV1012 @ SV274 ) )
= $true )
| ( ( ~ ( SV1012 @ SV274 ) )
= $false )
| ( ( ~ ~ ( SV1012
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1012 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5469]) ).
thf(5759,plain,
! [SV277: b,SV1018: b > $o] :
( ( ( ~ ( SV1018
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1018 @ SX0 ) ) ) )
= $true )
| ( ( SV1018 @ SV277 )
= $true )
| ( ( SV1018 @ SV277 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5471]) ).
thf(5762,plain,
! [SV277: b,SV1021: b > $o] :
( ( ( SV1021 @ SV277 )
= $false )
| ( ( SV1021 @ SV277 )
= $false )
| ( ( ~ ~ ( SV1021
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1021 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5474]) ).
thf(5763,plain,
! [SV277: b,SV1024: b > $o] :
( ( ( SV1024 @ SV277 )
= $true )
| ( ( ~ ( SV1024 @ SV277 ) )
= $false )
| ( ( ~ ~ ( SV1024
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1024 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5475]) ).
thf(5766,plain,
! [SV277: b,SV1027: b > $o] :
( ( ( ~ ( SV1027 @ SV277 ) )
= $true )
| ( ( ~ ( SV1027 @ SV277 ) )
= $true )
| ( ( ~ ~ ( SV1027
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1027 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5478]) ).
thf(5767,plain,
! [SV277: b,SV1030: b > $o] :
( ( ( ~ ~ ( SV1030 @ SV277 ) )
= $true )
| ( ( ~ ( SV1030 @ SV277 ) )
= $false )
| ( ( ~ ~ ( SV1030
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1030 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5479]) ).
thf(5769,plain,
! [SV278: b,SV1036: b > $o] :
( ( ( ~ ( SV1036
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1036 @ SX0 ) ) ) )
= $true )
| ( ( SV1036 @ SV278 )
= $true )
| ( ( SV1036 @ SV278 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5481]) ).
thf(5772,plain,
! [SV278: b,SV1039: b > $o] :
( ( ( SV1039 @ SV278 )
= $false )
| ( ( SV1039 @ SV278 )
= $false )
| ( ( ~ ~ ( SV1039
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1039 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5484]) ).
thf(5773,plain,
! [SV278: b,SV1042: b > $o] :
( ( ( SV1042 @ SV278 )
= $true )
| ( ( ~ ( SV1042 @ SV278 ) )
= $false )
| ( ( ~ ~ ( SV1042
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1042 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5485]) ).
thf(5776,plain,
! [SV278: b,SV1045: b > $o] :
( ( ( ~ ( SV1045 @ SV278 ) )
= $true )
| ( ( ~ ( SV1045 @ SV278 ) )
= $true )
| ( ( ~ ~ ( SV1045
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1045 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5488]) ).
thf(5777,plain,
! [SV278: b,SV1048: b > $o] :
( ( ( ~ ~ ( SV1048 @ SV278 ) )
= $true )
| ( ( ~ ( SV1048 @ SV278 ) )
= $false )
| ( ( ~ ~ ( SV1048
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1048 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5489]) ).
thf(5779,plain,
! [SV279: b,SV1314: b > $o] :
( ( ( ~ ( SV1314
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1314 @ SX0 ) ) ) )
= $true )
| ( ( SV1314 @ SV279 )
= $true )
| ( ( SV1314 @ SV279 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5491]) ).
thf(5782,plain,
! [SV279: b,SV1317: b > $o] :
( ( ( SV1317 @ SV279 )
= $false )
| ( ( SV1317 @ SV279 )
= $false )
| ( ( ~ ~ ( SV1317
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1317 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5494]) ).
thf(5783,plain,
! [SV279: b,SV1320: b > $o] :
( ( ( SV1320 @ SV279 )
= $true )
| ( ( ~ ( SV1320 @ SV279 ) )
= $false )
| ( ( ~ ~ ( SV1320
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1320 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5495]) ).
thf(5786,plain,
! [SV279: b,SV1323: b > $o] :
( ( ( ~ ( SV1323 @ SV279 ) )
= $true )
| ( ( ~ ( SV1323 @ SV279 ) )
= $true )
| ( ( ~ ~ ( SV1323
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1323 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5498]) ).
thf(5787,plain,
! [SV279: b,SV1326: b > $o] :
( ( ( ~ ~ ( SV1326 @ SV279 ) )
= $true )
| ( ( ~ ( SV1326 @ SV279 ) )
= $false )
| ( ( ~ ~ ( SV1326
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1326 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5499]) ).
thf(5790,plain,
! [SV1332: b > $o] :
( ( ( ~ ( SV1332
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1332 @ SX0 ) ) ) )
= $false )
| ( ( SV1332
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ( SV1332 @ SX0 ) ) )
= $false )
| ( ( SV1332
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ( SV1332 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5502]) ).
thf(5791,plain,
! [SV1335: b > $o] :
( ( ( SV1335
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ( SV1335 @ SX0 ) ) )
= $true )
| ( ( SV1335
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ( SV1335 @ SX0 ) ) )
= $true )
| ( ( ~ ~ ( SV1335
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1335 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5503]) ).
thf(5794,plain,
! [SV1338: b > $o] :
( ( ( SV1338
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ~ ( SV1338 @ SX0 ) ) )
= $false )
| ( ( ~ ( SV1338
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ~ ( SV1338 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ( SV1338
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1338 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5506]) ).
thf(5795,plain,
! [SV1341: b > $o] :
( ( ( ~ ( SV1341
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1341 @ SX0 ) ) ) )
= $false )
| ( ( ~ ( SV1341
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1341 @ SX0 ) ) ) )
= $false )
| ( ( ~ ~ ( SV1341
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1341 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5507]) ).
thf(5798,plain,
! [SV1344: b > $o] :
( ( ( ~ ~ ( SV1344
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1344 @ SX0 ) ) ) )
= $false )
| ( ( ~ ( SV1344
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1344 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ( SV1344
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1344 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5510]) ).
thf(5799,plain,
! [SV280: b,SV1350: b > $o] :
( ( ( ~ ( SV1350
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1350 @ SX0 ) ) ) )
= $true )
| ( ( SV1350 @ SV280 )
= $true )
| ( ( SV1350 @ SV280 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5511]) ).
thf(5802,plain,
! [SV280: b,SV1353: b > $o] :
( ( ( SV1353 @ SV280 )
= $false )
| ( ( SV1353 @ SV280 )
= $false )
| ( ( ~ ~ ( SV1353
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1353 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5514]) ).
thf(5803,plain,
! [SV280: b,SV1356: b > $o] :
( ( ( SV1356 @ SV280 )
= $true )
| ( ( ~ ( SV1356 @ SV280 ) )
= $false )
| ( ( ~ ~ ( SV1356
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1356 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5515]) ).
thf(5806,plain,
! [SV280: b,SV1359: b > $o] :
( ( ( ~ ( SV1359 @ SV280 ) )
= $true )
| ( ( ~ ( SV1359 @ SV280 ) )
= $true )
| ( ( ~ ~ ( SV1359
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1359 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5518]) ).
thf(5807,plain,
! [SV280: b,SV1362: b > $o] :
( ( ( ~ ~ ( SV1362 @ SV280 ) )
= $true )
| ( ( ~ ( SV1362 @ SV280 ) )
= $false )
| ( ( ~ ~ ( SV1362
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1362 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5519]) ).
thf(5809,plain,
! [SV281: b,SV1368: b > $o] :
( ( ( ~ ( SV1368
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1368 @ SX0 ) ) ) )
= $true )
| ( ( SV1368 @ SV281 )
= $true )
| ( ( SV1368 @ SV281 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5521]) ).
thf(5812,plain,
! [SV281: b,SV1371: b > $o] :
( ( ( SV1371 @ SV281 )
= $false )
| ( ( SV1371 @ SV281 )
= $false )
| ( ( ~ ~ ( SV1371
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1371 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5524]) ).
thf(5813,plain,
! [SV281: b,SV1374: b > $o] :
( ( ( SV1374 @ SV281 )
= $true )
| ( ( ~ ( SV1374 @ SV281 ) )
= $false )
| ( ( ~ ~ ( SV1374
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1374 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5525]) ).
thf(5816,plain,
! [SV281: b,SV1377: b > $o] :
( ( ( ~ ( SV1377 @ SV281 ) )
= $true )
| ( ( ~ ( SV1377 @ SV281 ) )
= $true )
| ( ( ~ ~ ( SV1377
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1377 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5528]) ).
thf(5817,plain,
! [SV281: b,SV1380: b > $o] :
( ( ( ~ ~ ( SV1380 @ SV281 ) )
= $true )
| ( ( ~ ( SV1380 @ SV281 ) )
= $false )
| ( ( ~ ~ ( SV1380
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1380 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5529]) ).
thf(5819,plain,
! [SV282: b,SV1386: b > $o] :
( ( ( ~ ( SV1386
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1386 @ SX0 ) ) ) )
= $true )
| ( ( SV1386 @ SV282 )
= $true )
| ( ( SV1386 @ SV282 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5531]) ).
thf(5822,plain,
! [SV282: b,SV1389: b > $o] :
( ( ( SV1389 @ SV282 )
= $false )
| ( ( SV1389 @ SV282 )
= $false )
| ( ( ~ ~ ( SV1389
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1389 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5534]) ).
thf(5823,plain,
! [SV282: b,SV1392: b > $o] :
( ( ( SV1392 @ SV282 )
= $true )
| ( ( ~ ( SV1392 @ SV282 ) )
= $false )
| ( ( ~ ~ ( SV1392
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1392 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5535]) ).
thf(5826,plain,
! [SV282: b,SV1395: b > $o] :
( ( ( ~ ( SV1395 @ SV282 ) )
= $true )
| ( ( ~ ( SV1395 @ SV282 ) )
= $true )
| ( ( ~ ~ ( SV1395
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1395 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5538]) ).
thf(5827,plain,
! [SV282: b,SV1398: b > $o] :
( ( ( ~ ~ ( SV1398 @ SV282 ) )
= $true )
| ( ( ~ ( SV1398 @ SV282 ) )
= $false )
| ( ( ~ ~ ( SV1398
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1398 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5539]) ).
thf(5829,plain,
! [SV283: b,SV1404: b > $o] :
( ( ( ~ ( SV1404
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1404 @ SX0 ) ) ) )
= $true )
| ( ( SV1404 @ SV283 )
= $true )
| ( ( SV1404 @ SV283 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5541]) ).
thf(5832,plain,
! [SV283: b,SV1407: b > $o] :
( ( ( SV1407 @ SV283 )
= $false )
| ( ( SV1407 @ SV283 )
= $false )
| ( ( ~ ~ ( SV1407
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1407 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5544]) ).
thf(5833,plain,
! [SV283: b,SV1410: b > $o] :
( ( ( SV1410 @ SV283 )
= $true )
| ( ( ~ ( SV1410 @ SV283 ) )
= $false )
| ( ( ~ ~ ( SV1410
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1410 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5545]) ).
thf(5836,plain,
! [SV283: b,SV1413: b > $o] :
( ( ( ~ ( SV1413 @ SV283 ) )
= $true )
| ( ( ~ ( SV1413 @ SV283 ) )
= $true )
| ( ( ~ ~ ( SV1413
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1413 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5548]) ).
thf(5837,plain,
! [SV283: b,SV1416: b > $o] :
( ( ( ~ ~ ( SV1416 @ SV283 ) )
= $true )
| ( ( ~ ( SV1416 @ SV283 ) )
= $false )
| ( ( ~ ~ ( SV1416
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1416 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5549]) ).
thf(5839,plain,
! [SV176: b,SV1422: b > $o] :
( ( ( ~ ( SV1422
@ ( sK5_SY206
@ ^ [SX0: b] :
~ ( SV1422 @ SX0 ) ) ) )
= $true )
| ( ( SV1422 @ SV176 )
= $true )
| ( ( SV1422 @ SV176 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5551]) ).
thf(5842,plain,
! [SV176: b,SV1425: b > $o] :
( ( ( SV1425 @ SV176 )
= $false )
| ( ( SV1425 @ SV176 )
= $false )
| ( ( ~ ~ ( SV1425
@ ( sK5_SY206
@ ^ [SX0: b] :
~ ~ ( SV1425 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5554]) ).
thf(5843,plain,
! [SV176: b,SV1428: b > $o] :
( ( ( SV1428 @ SV176 )
= $true )
| ( ( ~ ( SV1428 @ SV176 ) )
= $false )
| ( ( ~ ~ ( SV1428
@ ( sK5_SY206
@ ^ [SX0: b] :
~ ~ ~ ( SV1428 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5555]) ).
thf(5846,plain,
! [SV176: b,SV1431: b > $o] :
( ( ( ~ ( SV1431 @ SV176 ) )
= $true )
| ( ( ~ ( SV1431 @ SV176 ) )
= $true )
| ( ( ~ ~ ( SV1431
@ ( sK5_SY206
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1431 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5558]) ).
thf(5847,plain,
! [SV176: b,SV1434: b > $o] :
( ( ( ~ ~ ( SV1434 @ SV176 ) )
= $true )
| ( ( ~ ( SV1434 @ SV176 ) )
= $false )
| ( ( ~ ~ ( SV1434
@ ( sK5_SY206
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1434 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5559]) ).
thf(5849,plain,
! [SV177: b,SV1440: b > $o] :
( ( ( ~ ( SV1440
@ ( sK6_SY207
@ ^ [SX0: b] :
~ ( SV1440 @ SX0 ) ) ) )
= $true )
| ( ( SV1440 @ SV177 )
= $true )
| ( ( SV1440 @ SV177 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5561]) ).
thf(5852,plain,
! [SV177: b,SV1443: b > $o] :
( ( ( SV1443 @ SV177 )
= $false )
| ( ( SV1443 @ SV177 )
= $false )
| ( ( ~ ~ ( SV1443
@ ( sK6_SY207
@ ^ [SX0: b] :
~ ~ ( SV1443 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5564]) ).
thf(5853,plain,
! [SV177: b,SV1446: b > $o] :
( ( ( SV1446 @ SV177 )
= $true )
| ( ( ~ ( SV1446 @ SV177 ) )
= $false )
| ( ( ~ ~ ( SV1446
@ ( sK6_SY207
@ ^ [SX0: b] :
~ ~ ~ ( SV1446 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5565]) ).
thf(5856,plain,
! [SV177: b,SV1449: b > $o] :
( ( ( ~ ( SV1449 @ SV177 ) )
= $true )
| ( ( ~ ( SV1449 @ SV177 ) )
= $true )
| ( ( ~ ~ ( SV1449
@ ( sK6_SY207
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1449 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5568]) ).
thf(5857,plain,
! [SV177: b,SV1452: b > $o] :
( ( ( ~ ~ ( SV1452 @ SV177 ) )
= $true )
| ( ( ~ ( SV1452 @ SV177 ) )
= $false )
| ( ( ~ ~ ( SV1452
@ ( sK6_SY207
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1452 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5569]) ).
thf(5859,plain,
! [SV284: b,SV1458: b > $o] :
( ( ( ~ ( SV1458
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1458 @ SX0 ) ) ) )
= $true )
| ( ( SV1458 @ SV284 )
= $true )
| ( ( SV1458 @ SV284 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5571]) ).
thf(5862,plain,
! [SV284: b,SV1461: b > $o] :
( ( ( SV1461 @ SV284 )
= $false )
| ( ( SV1461 @ SV284 )
= $false )
| ( ( ~ ~ ( SV1461
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1461 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5574]) ).
thf(5863,plain,
! [SV284: b,SV1464: b > $o] :
( ( ( SV1464 @ SV284 )
= $true )
| ( ( ~ ( SV1464 @ SV284 ) )
= $false )
| ( ( ~ ~ ( SV1464
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1464 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5575]) ).
thf(5866,plain,
! [SV284: b,SV1467: b > $o] :
( ( ( ~ ( SV1467 @ SV284 ) )
= $true )
| ( ( ~ ( SV1467 @ SV284 ) )
= $true )
| ( ( ~ ~ ( SV1467
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1467 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5578]) ).
thf(5867,plain,
! [SV284: b,SV1470: b > $o] :
( ( ( ~ ~ ( SV1470 @ SV284 ) )
= $true )
| ( ( ~ ( SV1470 @ SV284 ) )
= $false )
| ( ( ~ ~ ( SV1470
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1470 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5579]) ).
thf(5869,plain,
! [SV285: b,SV1476: b > $o] :
( ( ( ~ ( SV1476
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1476 @ SX0 ) ) ) )
= $true )
| ( ( SV1476 @ SV285 )
= $true )
| ( ( SV1476 @ SV285 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5581]) ).
thf(5872,plain,
! [SV285: b,SV1479: b > $o] :
( ( ( SV1479 @ SV285 )
= $false )
| ( ( SV1479 @ SV285 )
= $false )
| ( ( ~ ~ ( SV1479
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1479 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5584]) ).
thf(5873,plain,
! [SV285: b,SV1482: b > $o] :
( ( ( SV1482 @ SV285 )
= $true )
| ( ( ~ ( SV1482 @ SV285 ) )
= $false )
| ( ( ~ ~ ( SV1482
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1482 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5585]) ).
thf(5876,plain,
! [SV285: b,SV1485: b > $o] :
( ( ( ~ ( SV1485 @ SV285 ) )
= $true )
| ( ( ~ ( SV1485 @ SV285 ) )
= $true )
| ( ( ~ ~ ( SV1485
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1485 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5588]) ).
thf(5877,plain,
! [SV285: b,SV1488: b > $o] :
( ( ( ~ ~ ( SV1488 @ SV285 ) )
= $true )
| ( ( ~ ( SV1488 @ SV285 ) )
= $false )
| ( ( ~ ~ ( SV1488
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1488 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5589]) ).
thf(5879,plain,
! [SV286: b,SV1494: b > $o] :
( ( ( ~ ( SV1494
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1494 @ SX0 ) ) ) )
= $true )
| ( ( SV1494 @ SV286 )
= $true )
| ( ( SV1494 @ SV286 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5591]) ).
thf(5882,plain,
! [SV286: b,SV1497: b > $o] :
( ( ( SV1497 @ SV286 )
= $false )
| ( ( SV1497 @ SV286 )
= $false )
| ( ( ~ ~ ( SV1497
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1497 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5594]) ).
thf(5883,plain,
! [SV286: b,SV1500: b > $o] :
( ( ( SV1500 @ SV286 )
= $true )
| ( ( ~ ( SV1500 @ SV286 ) )
= $false )
| ( ( ~ ~ ( SV1500
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1500 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5595]) ).
thf(5886,plain,
! [SV286: b,SV1503: b > $o] :
( ( ( ~ ( SV1503 @ SV286 ) )
= $true )
| ( ( ~ ( SV1503 @ SV286 ) )
= $true )
| ( ( ~ ~ ( SV1503
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1503 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5598]) ).
thf(5887,plain,
! [SV286: b,SV1506: b > $o] :
( ( ( ~ ~ ( SV1506 @ SV286 ) )
= $true )
| ( ( ~ ( SV1506 @ SV286 ) )
= $false )
| ( ( ~ ~ ( SV1506
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1506 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5599]) ).
thf(5889,plain,
! [SV260: b,SV344: b > $o] :
( ( ( SV344
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV344 @ SX0 ) ) )
= $false )
| ( ( SV344 @ SV260 )
= $true )
| ( ( SV344 @ SV260 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5601]) ).
thf(5892,plain,
! [SV260: b,SV347: b > $o] :
( ( ( ~ ( SV347
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV347 @ SX0 ) ) ) )
= $false )
| ( ( SV347 @ SV260 )
= $false )
| ( ( SV347 @ SV260 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5604]) ).
thf(5893,plain,
! [SV260: b,SV350: b > $o] :
( ( ( SV350 @ SV260 )
= $true )
| ( ( SV350 @ SV260 )
= $true )
| ( ( ~ ~ ( SV350
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV350 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5605]) ).
thf(5896,plain,
! [SV260: b,SV353: b > $o] :
( ( ( SV353 @ SV260 )
= $false )
| ( ( ~ ( SV353 @ SV260 ) )
= $true )
| ( ( ~ ~ ( SV353
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV353 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5608]) ).
thf(5897,plain,
! [SV260: b,SV356: b > $o] :
( ( ( ~ ( SV356 @ SV260 ) )
= $false )
| ( ( ~ ( SV356 @ SV260 ) )
= $false )
| ( ( ~ ~ ( SV356
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV356 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5609]) ).
thf(5899,plain,
! [SV265: b,SV362: b > $o] :
( ( ( SV362
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV362 @ SX0 ) ) )
= $false )
| ( ( SV362 @ SV265 )
= $true )
| ( ( SV362 @ SV265 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5611]) ).
thf(5902,plain,
! [SV265: b,SV365: b > $o] :
( ( ( ~ ( SV365
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV365 @ SX0 ) ) ) )
= $false )
| ( ( SV365 @ SV265 )
= $false )
| ( ( SV365 @ SV265 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5614]) ).
thf(5903,plain,
! [SV265: b,SV368: b > $o] :
( ( ( SV368 @ SV265 )
= $true )
| ( ( SV368 @ SV265 )
= $true )
| ( ( ~ ~ ( SV368
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV368 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5615]) ).
thf(5906,plain,
! [SV265: b,SV371: b > $o] :
( ( ( SV371 @ SV265 )
= $false )
| ( ( ~ ( SV371 @ SV265 ) )
= $true )
| ( ( ~ ~ ( SV371
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV371 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5618]) ).
thf(5907,plain,
! [SV265: b,SV374: b > $o] :
( ( ( ~ ( SV374 @ SV265 ) )
= $false )
| ( ( ~ ( SV374 @ SV265 ) )
= $false )
| ( ( ~ ~ ( SV374
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV374 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5619]) ).
thf(5909,plain,
! [SV266: b,SV380: b > $o] :
( ( ( SV380
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV380 @ SX0 ) ) )
= $false )
| ( ( SV380 @ SV266 )
= $true )
| ( ( SV380 @ SV266 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5621]) ).
thf(5912,plain,
! [SV266: b,SV383: b > $o] :
( ( ( ~ ( SV383
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV383 @ SX0 ) ) ) )
= $false )
| ( ( SV383 @ SV266 )
= $false )
| ( ( SV383 @ SV266 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5624]) ).
thf(5913,plain,
! [SV266: b,SV386: b > $o] :
( ( ( SV386 @ SV266 )
= $true )
| ( ( SV386 @ SV266 )
= $true )
| ( ( ~ ~ ( SV386
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV386 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5625]) ).
thf(5916,plain,
! [SV266: b,SV389: b > $o] :
( ( ( SV389 @ SV266 )
= $false )
| ( ( ~ ( SV389 @ SV266 ) )
= $true )
| ( ( ~ ~ ( SV389
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV389 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5628]) ).
thf(5917,plain,
! [SV266: b,SV392: b > $o] :
( ( ( ~ ( SV392 @ SV266 ) )
= $false )
| ( ( ~ ( SV392 @ SV266 ) )
= $false )
| ( ( ~ ~ ( SV392
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV392 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5629]) ).
thf(5919,plain,
! [SV454: b > b > $o,SV486: b > set_b,SV485: b > b,SV99: b] :
( ( ( SV99
!= ( sK52_E
@ ^ [SX0: b] : ( insert_b @ ( SV485 @ SX0 ) @ ( SV486 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV454 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ~ ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV454
@ ( sK52_E
@ ^ [SX1: b] : ( insert_b @ ( SV485 @ SX1 ) @ ( SV486 @ SX1 ) )
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( SV454 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( insert_b
@ ( SV485
@ ( sK52_E
@ ^ [SX0: b] : ( insert_b @ ( SV485 @ SX0 ) @ ( SV486 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV454 @ SX0 @ SX1 ) ) )
@ ( SV486
@ ( sK52_E
@ ^ [SX0: b] : ( insert_b @ ( SV485 @ SX0 ) @ ( SV486 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV454 @ SX0 @ SX1 ) ) ) ) ) ) )
= $true )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV454 @ SV99 @ SX0 ) )
= ( insert_b @ ( SV485 @ SV99 ) @ ( SV486 @ SV99 ) ) )
= $true )
| ( ( ( insert_b @ ( SV485 @ SV99 ) @ ( SV486 @ SV99 ) )
= ( insert_b @ SV99 @ bot_bot_set_b ) )
= $false )
| ( ( SV454 @ SV99
@ ( sK52_E
@ ^ [SX0: b] : ( insert_b @ ( SV485 @ SX0 ) @ ( SV486 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV454 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5633]) ).
thf(5920,plain,
! [SV454: b > b > $o,SV482: b > set_b,SV481: b > b,SV99: b] :
( ( ( SV99
!= ( sK52_E
@ ^ [SX0: b] : ( insert_b @ ( SV481 @ SX0 ) @ ( SV482 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV454 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV454 @ SV99 @ SX0 ) )
= ( insert_b @ ( SV481 @ SV99 ) @ ( SV482 @ SV99 ) ) )
= $true )
| ( ( ( insert_b @ ( SV481 @ SV99 ) @ ( SV482 @ SV99 ) )
= ( insert_b @ SV99 @ bot_bot_set_b ) )
= $false )
| ( ( SV454 @ SV99
@ ( sK52_E
@ ^ [SX0: b] : ( insert_b @ ( SV481 @ SX0 ) @ ( SV482 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV454 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5634]) ).
thf(5921,plain,
! [SV99: b,SV482: b > set_b,SV481: b > b,SV454: b > b > $o] :
( ( ( ~ ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV454
@ ( sK52_E
@ ^ [SX1: b] : ( insert_b @ ( SV481 @ SX1 ) @ ( SV482 @ SX1 ) )
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( SV454 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( insert_b
@ ( SV481
@ ( sK52_E
@ ^ [SX0: b] : ( insert_b @ ( SV481 @ SX0 ) @ ( SV482 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV454 @ SX0 @ SX1 ) ) )
@ ( SV482
@ ( sK52_E
@ ^ [SX0: b] : ( insert_b @ ( SV481 @ SX0 ) @ ( SV482 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV454 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV454 @ SV99 @ SX0 ) )
= ( insert_b @ ( SV481 @ SV99 ) @ ( SV482 @ SV99 ) ) )
= $true )
| ( ( ( insert_b @ ( SV481 @ SV99 ) @ ( SV482 @ SV99 ) )
= ( insert_b @ SV99 @ bot_bot_set_b ) )
= $false )
| ( ( SV454 @ SV99
@ ( sK52_E
@ ^ [SX0: b] : ( insert_b @ ( SV481 @ SX0 ) @ ( SV482 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV454 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5634]) ).
thf(5922,plain,
! [SV410: b > b > $o,SV442: b > set_b,SV441: b > b,SV99: b] :
( ( ( SV99
!= ( sK51_E
@ ^ [SX0: b] : ( insert_b @ ( SV441 @ SX0 ) @ ( SV442 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV410 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ~ ( ( ( insert_b
@ ( SV441
@ ( sK51_E
@ ^ [SX0: b] : ( insert_b @ ( SV441 @ SX0 ) @ ( SV442 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV410 @ SX0 @ SX1 ) ) )
@ ( SV442
@ ( sK51_E
@ ^ [SX0: b] : ( insert_b @ ( SV441 @ SX0 ) @ ( SV442 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV410 @ SX0 @ SX1 ) ) ) )
!= ( collect_b
@ ^ [SX0: b] :
~ ( SV410
@ ( sK51_E
@ ^ [SX1: b] : ( insert_b @ ( SV441 @ SX1 ) @ ( SV442 @ SX1 ) )
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( SV410 @ SX1 @ SX2 ) )
@ SX0 ) ) ) ) )
= $true )
| ( ( ( insert_b @ ( SV441 @ SV99 ) @ ( SV442 @ SV99 ) )
= ( collect_b
@ ^ [SX0: b] :
~ ( SV410 @ SV99 @ SX0 ) ) )
= $true )
| ( ( ( insert_b @ ( SV441 @ SV99 ) @ ( SV442 @ SV99 ) )
= ( insert_b @ SV99 @ bot_bot_set_b ) )
= $false )
| ( ( SV410 @ SV99
@ ( sK51_E
@ ^ [SX0: b] : ( insert_b @ ( SV441 @ SX0 ) @ ( SV442 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV410 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5635]) ).
thf(5923,plain,
! [SV410: b > b > $o,SV438: b > set_b,SV437: b > b,SV99: b] :
( ( ( SV99
!= ( sK51_E
@ ^ [SX0: b] : ( insert_b @ ( SV437 @ SX0 ) @ ( SV438 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV410 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( insert_b @ ( SV437 @ SV99 ) @ ( SV438 @ SV99 ) )
= ( collect_b
@ ^ [SX0: b] :
~ ( SV410 @ SV99 @ SX0 ) ) )
= $true )
| ( ( ( insert_b @ ( SV437 @ SV99 ) @ ( SV438 @ SV99 ) )
= ( insert_b @ SV99 @ bot_bot_set_b ) )
= $false )
| ( ( SV410 @ SV99
@ ( sK51_E
@ ^ [SX0: b] : ( insert_b @ ( SV437 @ SX0 ) @ ( SV438 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV410 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5636]) ).
thf(5924,plain,
! [SV410: b > b > $o,SV99: b,SV438: b > set_b,SV437: b > b] :
( ( ( ~ ( ( ( insert_b
@ ( SV437
@ ( sK51_E
@ ^ [SX0: b] : ( insert_b @ ( SV437 @ SX0 ) @ ( SV438 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV410 @ SX0 @ SX1 ) ) )
@ ( SV438
@ ( sK51_E
@ ^ [SX0: b] : ( insert_b @ ( SV437 @ SX0 ) @ ( SV438 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV410 @ SX0 @ SX1 ) ) ) )
!= ( collect_b
@ ^ [SX0: b] :
~ ( SV410
@ ( sK51_E
@ ^ [SX1: b] : ( insert_b @ ( SV437 @ SX1 ) @ ( SV438 @ SX1 ) )
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( SV410 @ SX1 @ SX2 ) )
@ SX0 ) ) ) ) )
= $false )
| ( ( ( insert_b @ ( SV437 @ SV99 ) @ ( SV438 @ SV99 ) )
= ( collect_b
@ ^ [SX0: b] :
~ ( SV410 @ SV99 @ SX0 ) ) )
= $true )
| ( ( ( insert_b @ ( SV437 @ SV99 ) @ ( SV438 @ SV99 ) )
= ( insert_b @ SV99 @ bot_bot_set_b ) )
= $false )
| ( ( SV410 @ SV99
@ ( sK51_E
@ ^ [SX0: b] : ( insert_b @ ( SV437 @ SX0 ) @ ( SV438 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV410 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5636]) ).
thf(5925,plain,
! [SV549: b > b > $o,SV124: b,SV581: b > set_b,SV580: b > b] :
( ( ( ( sK54_E
@ ^ [SX0: b] : ( insert_b @ ( SV580 @ SX0 ) @ ( SV581 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV549 @ SX0 @ SX1 ) )
!= SV124 )
= $true )
| ( ( ~ ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV549
@ ( sK54_E
@ ^ [SX1: b] : ( insert_b @ ( SV580 @ SX1 ) @ ( SV581 @ SX1 ) )
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( SV549 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( insert_b
@ ( SV580
@ ( sK54_E
@ ^ [SX0: b] : ( insert_b @ ( SV580 @ SX0 ) @ ( SV581 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV549 @ SX0 @ SX1 ) ) )
@ ( SV581
@ ( sK54_E
@ ^ [SX0: b] : ( insert_b @ ( SV580 @ SX0 ) @ ( SV581 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV549 @ SX0 @ SX1 ) ) ) ) ) ) )
= $true )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV549 @ SV124 @ SX0 ) )
= ( insert_b @ ( SV580 @ SV124 ) @ ( SV581 @ SV124 ) ) )
= $true )
| ( ( ( insert_b @ ( SV580 @ SV124 ) @ ( SV581 @ SV124 ) )
= ( insert_b @ SV124 @ bot_bot_set_b ) )
= $false )
| ( ( SV549 @ SV124
@ ( sK54_E
@ ^ [SX0: b] : ( insert_b @ ( SV580 @ SX0 ) @ ( SV581 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV549 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5639]) ).
thf(5926,plain,
! [SV549: b > b > $o,SV124: b,SV577: b > set_b,SV576: b > b] :
( ( ( ( sK54_E
@ ^ [SX0: b] : ( insert_b @ ( SV576 @ SX0 ) @ ( SV577 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV549 @ SX0 @ SX1 ) )
!= SV124 )
= $false )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV549 @ SV124 @ SX0 ) )
= ( insert_b @ ( SV576 @ SV124 ) @ ( SV577 @ SV124 ) ) )
= $true )
| ( ( ( insert_b @ ( SV576 @ SV124 ) @ ( SV577 @ SV124 ) )
= ( insert_b @ SV124 @ bot_bot_set_b ) )
= $false )
| ( ( SV549 @ SV124
@ ( sK54_E
@ ^ [SX0: b] : ( insert_b @ ( SV576 @ SX0 ) @ ( SV577 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV549 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5640]) ).
thf(5927,plain,
! [SV124: b,SV577: b > set_b,SV576: b > b,SV549: b > b > $o] :
( ( ( ~ ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV549
@ ( sK54_E
@ ^ [SX1: b] : ( insert_b @ ( SV576 @ SX1 ) @ ( SV577 @ SX1 ) )
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( SV549 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( insert_b
@ ( SV576
@ ( sK54_E
@ ^ [SX0: b] : ( insert_b @ ( SV576 @ SX0 ) @ ( SV577 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV549 @ SX0 @ SX1 ) ) )
@ ( SV577
@ ( sK54_E
@ ^ [SX0: b] : ( insert_b @ ( SV576 @ SX0 ) @ ( SV577 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV549 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV549 @ SV124 @ SX0 ) )
= ( insert_b @ ( SV576 @ SV124 ) @ ( SV577 @ SV124 ) ) )
= $true )
| ( ( ( insert_b @ ( SV576 @ SV124 ) @ ( SV577 @ SV124 ) )
= ( insert_b @ SV124 @ bot_bot_set_b ) )
= $false )
| ( ( SV549 @ SV124
@ ( sK54_E
@ ^ [SX0: b] : ( insert_b @ ( SV576 @ SX0 ) @ ( SV577 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV549 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5640]) ).
thf(5928,plain,
! [SV505: b > b > $o,SV124: b,SV537: b > set_b,SV536: b > b] :
( ( ( ( sK53_E
@ ^ [SX0: b] : ( insert_b @ ( SV536 @ SX0 ) @ ( SV537 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV505 @ SX0 @ SX1 ) )
!= SV124 )
= $true )
| ( ( ~ ( ( ( insert_b
@ ( SV536
@ ( sK53_E
@ ^ [SX0: b] : ( insert_b @ ( SV536 @ SX0 ) @ ( SV537 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV505 @ SX0 @ SX1 ) ) )
@ ( SV537
@ ( sK53_E
@ ^ [SX0: b] : ( insert_b @ ( SV536 @ SX0 ) @ ( SV537 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV505 @ SX0 @ SX1 ) ) ) )
!= ( collect_b
@ ^ [SX0: b] :
~ ( SV505
@ ( sK53_E
@ ^ [SX1: b] : ( insert_b @ ( SV536 @ SX1 ) @ ( SV537 @ SX1 ) )
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( SV505 @ SX1 @ SX2 ) )
@ SX0 ) ) ) ) )
= $true )
| ( ( ( insert_b @ ( SV536 @ SV124 ) @ ( SV537 @ SV124 ) )
= ( collect_b
@ ^ [SX0: b] :
~ ( SV505 @ SV124 @ SX0 ) ) )
= $true )
| ( ( ( insert_b @ ( SV536 @ SV124 ) @ ( SV537 @ SV124 ) )
= ( insert_b @ SV124 @ bot_bot_set_b ) )
= $false )
| ( ( SV505 @ SV124
@ ( sK53_E
@ ^ [SX0: b] : ( insert_b @ ( SV536 @ SX0 ) @ ( SV537 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV505 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5641]) ).
thf(5929,plain,
! [SV505: b > b > $o,SV124: b,SV533: b > set_b,SV532: b > b] :
( ( ( ( sK53_E
@ ^ [SX0: b] : ( insert_b @ ( SV532 @ SX0 ) @ ( SV533 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV505 @ SX0 @ SX1 ) )
!= SV124 )
= $false )
| ( ( ( insert_b @ ( SV532 @ SV124 ) @ ( SV533 @ SV124 ) )
= ( collect_b
@ ^ [SX0: b] :
~ ( SV505 @ SV124 @ SX0 ) ) )
= $true )
| ( ( ( insert_b @ ( SV532 @ SV124 ) @ ( SV533 @ SV124 ) )
= ( insert_b @ SV124 @ bot_bot_set_b ) )
= $false )
| ( ( SV505 @ SV124
@ ( sK53_E
@ ^ [SX0: b] : ( insert_b @ ( SV532 @ SX0 ) @ ( SV533 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV505 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5642]) ).
thf(5930,plain,
! [SV505: b > b > $o,SV124: b,SV533: b > set_b,SV532: b > b] :
( ( ( ~ ( ( ( insert_b
@ ( SV532
@ ( sK53_E
@ ^ [SX0: b] : ( insert_b @ ( SV532 @ SX0 ) @ ( SV533 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV505 @ SX0 @ SX1 ) ) )
@ ( SV533
@ ( sK53_E
@ ^ [SX0: b] : ( insert_b @ ( SV532 @ SX0 ) @ ( SV533 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV505 @ SX0 @ SX1 ) ) ) )
!= ( collect_b
@ ^ [SX0: b] :
~ ( SV505
@ ( sK53_E
@ ^ [SX1: b] : ( insert_b @ ( SV532 @ SX1 ) @ ( SV533 @ SX1 ) )
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( SV505 @ SX1 @ SX2 ) )
@ SX0 ) ) ) ) )
= $false )
| ( ( ( insert_b @ ( SV532 @ SV124 ) @ ( SV533 @ SV124 ) )
= ( collect_b
@ ^ [SX0: b] :
~ ( SV505 @ SV124 @ SX0 ) ) )
= $true )
| ( ( ( insert_b @ ( SV532 @ SV124 ) @ ( SV533 @ SV124 ) )
= ( insert_b @ SV124 @ bot_bot_set_b ) )
= $false )
| ( ( SV505 @ SV124
@ ( sK53_E
@ ^ [SX0: b] : ( insert_b @ ( SV532 @ SX0 ) @ ( SV533 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV505 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5642]) ).
thf(5931,plain,
! [SV267: b,SV588: b > $o] :
( ( ( SV588
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV588 @ SX0 ) ) )
= $false )
| ( ( SV588 @ SV267 )
= $true )
| ( ( SV588 @ SV267 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5643]) ).
thf(5934,plain,
! [SV267: b,SV591: b > $o] :
( ( ( ~ ( SV591
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV591 @ SX0 ) ) ) )
= $false )
| ( ( SV591 @ SV267 )
= $false )
| ( ( SV591 @ SV267 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5646]) ).
thf(5935,plain,
! [SV267: b,SV594: b > $o] :
( ( ( SV594 @ SV267 )
= $true )
| ( ( SV594 @ SV267 )
= $true )
| ( ( ~ ~ ( SV594
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV594 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5647]) ).
thf(5938,plain,
! [SV267: b,SV597: b > $o] :
( ( ( SV597 @ SV267 )
= $false )
| ( ( ~ ( SV597 @ SV267 ) )
= $true )
| ( ( ~ ~ ( SV597
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV597 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5650]) ).
thf(5939,plain,
! [SV267: b,SV600: b > $o] :
( ( ( ~ ( SV600 @ SV267 ) )
= $false )
| ( ( ~ ( SV600 @ SV267 ) )
= $false )
| ( ( ~ ~ ( SV600
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV600 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5651]) ).
thf(5941,plain,
! [SV681: b > b > $o,SV99: b] :
( ( ( SV99
= ( sK56_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV681 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV681
@ ( sK56_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( SV681 @ SX1 @ SX2 ) )
@ SX0 ) )
!= bot_bot_set_b )
= $true )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV681 @ SV99 @ SX0 ) )
= bot_bot_set_b )
= $true )
| ( ( SV681 @ SV99
@ ( sK56_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV681 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5653]) ).
thf(5942,plain,
! [SV681: b > b > $o,SV99: b] :
( ( ( SV99
= ( sK56_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV681 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV681 @ SV99 @ SX0 ) )
= bot_bot_set_b )
= $true )
| ( ( SV681 @ SV99
@ ( sK56_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV681 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5654]) ).
thf(5943,plain,
! [SV99: b,SV681: b > b > $o] :
( ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV681
@ ( sK56_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( SV681 @ SX1 @ SX2 ) )
@ SX0 ) )
= bot_bot_set_b )
= $true )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV681 @ SV99 @ SX0 ) )
= bot_bot_set_b )
= $true )
| ( ( SV681 @ SV99
@ ( sK56_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV681 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5655]) ).
thf(5944,plain,
! [SV687: b > b > $o,SV99: b,SV686: b > b > $o] :
( ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV686
@ ( sK56_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( ( SV686 @ SX1 @ SX2 )
| ( SV687 @ SX1 @ SX2 ) ) )
@ SX0 )
| ( SV687
@ ( sK56_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( ( SV686 @ SX1 @ SX2 )
| ( SV687 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= bot_bot_set_b )
= $false )
| ( ( SV99
= ( sK56_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV686 @ SX0 @ SX1 )
| ( SV687 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV686 @ SV99 @ SX0 )
| ( SV687 @ SV99 @ SX0 ) ) )
= bot_bot_set_b )
= $true )
| ( ( SV687 @ SV99
@ ( sK56_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV686 @ SX0 @ SX1 )
| ( SV687 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV686 @ SV99
@ ( sK56_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV686 @ SX0 @ SX1 )
| ( SV687 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5660]) ).
thf(5945,plain,
! [SV615: b > b > $o,SV99: b] :
( ( ( SV99
= ( sK55_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV615 @ SX0 @ SX1 ) ) )
= $false )
| ( ( bot_bot_set_b
!= ( collect_b
@ ^ [SX0: b] :
~ ( SV615
@ ( sK55_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( SV615 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true )
| ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( SV615 @ SV99 @ SX0 ) ) )
= $true )
| ( ( SV615 @ SV99
@ ( sK55_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV615 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5661]) ).
thf(5946,plain,
! [SV615: b > b > $o,SV99: b] :
( ( ( SV99
= ( sK55_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV615 @ SX0 @ SX1 ) ) )
= $true )
| ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( SV615 @ SV99 @ SX0 ) ) )
= $true )
| ( ( SV615 @ SV99
@ ( sK55_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV615 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5662]) ).
thf(5947,plain,
! [SV99: b,SV615: b > b > $o] :
( ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( SV615
@ ( sK55_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( SV615 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true )
| ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( SV615 @ SV99 @ SX0 ) ) )
= $true )
| ( ( SV615 @ SV99
@ ( sK55_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV615 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5663]) ).
thf(5948,plain,
! [SV621: b > b > $o,SV99: b,SV620: b > b > $o] :
( ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV620
@ ( sK55_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( ( SV620 @ SX1 @ SX2 )
| ( SV621 @ SX1 @ SX2 ) ) )
@ SX0 )
| ( SV621
@ ( sK55_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( ( SV620 @ SX1 @ SX2 )
| ( SV621 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
= $false )
| ( ( SV99
= ( sK55_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV620 @ SX0 @ SX1 )
| ( SV621 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV620 @ SV99 @ SX0 )
| ( SV621 @ SV99 @ SX0 ) ) ) )
= $true )
| ( ( SV621 @ SV99
@ ( sK55_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV620 @ SX0 @ SX1 )
| ( SV621 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV620 @ SV99
@ ( sK55_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( ( SV620 @ SX0 @ SX1 )
| ( SV621 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5668]) ).
thf(5959,plain,
! [SV268: b,SV760: b > $o] :
( ( ( SV760
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV760 @ SX0 ) ) )
= $false )
| ( ( SV760 @ SV268 )
= $true )
| ( ( SV760 @ SV268 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5679]) ).
thf(5962,plain,
! [SV268: b,SV763: b > $o] :
( ( ( ~ ( SV763
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV763 @ SX0 ) ) ) )
= $false )
| ( ( SV763 @ SV268 )
= $false )
| ( ( SV763 @ SV268 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5682]) ).
thf(5963,plain,
! [SV268: b,SV766: b > $o] :
( ( ( SV766 @ SV268 )
= $true )
| ( ( SV766 @ SV268 )
= $true )
| ( ( ~ ~ ( SV766
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV766 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5683]) ).
thf(5966,plain,
! [SV268: b,SV769: b > $o] :
( ( ( SV769 @ SV268 )
= $false )
| ( ( ~ ( SV769 @ SV268 ) )
= $true )
| ( ( ~ ~ ( SV769
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV769 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5686]) ).
thf(5967,plain,
! [SV268: b,SV772: b > $o] :
( ( ( ~ ( SV772 @ SV268 ) )
= $false )
| ( ( ~ ( SV772 @ SV268 ) )
= $false )
| ( ( ~ ~ ( SV772
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV772 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5687]) ).
thf(5979,plain,
! [SV269: b,SV796: b > $o] :
( ( ( SV796
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV796 @ SX0 ) ) )
= $false )
| ( ( SV796 @ SV269 )
= $true )
| ( ( SV796 @ SV269 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5699]) ).
thf(5982,plain,
! [SV269: b,SV799: b > $o] :
( ( ( ~ ( SV799
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV799 @ SX0 ) ) ) )
= $false )
| ( ( SV799 @ SV269 )
= $false )
| ( ( SV799 @ SV269 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5702]) ).
thf(5983,plain,
! [SV269: b,SV802: b > $o] :
( ( ( SV802 @ SV269 )
= $true )
| ( ( SV802 @ SV269 )
= $true )
| ( ( ~ ~ ( SV802
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV802 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5703]) ).
thf(5986,plain,
! [SV269: b,SV805: b > $o] :
( ( ( SV805 @ SV269 )
= $false )
| ( ( ~ ( SV805 @ SV269 ) )
= $true )
| ( ( ~ ~ ( SV805
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV805 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5706]) ).
thf(5987,plain,
! [SV269: b,SV808: b > $o] :
( ( ( ~ ( SV808 @ SV269 ) )
= $false )
| ( ( ~ ( SV808 @ SV269 ) )
= $false )
| ( ( ~ ~ ( SV808
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV808 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5707]) ).
thf(5989,plain,
! [SV270: b,SV814: b > $o] :
( ( ( SV814
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV814 @ SX0 ) ) )
= $false )
| ( ( SV814 @ SV270 )
= $true )
| ( ( SV814 @ SV270 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5709]) ).
thf(5992,plain,
! [SV270: b,SV817: b > $o] :
( ( ( ~ ( SV817
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV817 @ SX0 ) ) ) )
= $false )
| ( ( SV817 @ SV270 )
= $false )
| ( ( SV817 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5712]) ).
thf(5993,plain,
! [SV270: b,SV820: b > $o] :
( ( ( SV820 @ SV270 )
= $true )
| ( ( SV820 @ SV270 )
= $true )
| ( ( ~ ~ ( SV820
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV820 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5713]) ).
thf(5996,plain,
! [SV270: b,SV823: b > $o] :
( ( ( SV823 @ SV270 )
= $false )
| ( ( ~ ( SV823 @ SV270 ) )
= $true )
| ( ( ~ ~ ( SV823
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV823 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5716]) ).
thf(5997,plain,
! [SV270: b,SV826: b > $o] :
( ( ( ~ ( SV826 @ SV270 ) )
= $false )
| ( ( ~ ( SV826 @ SV270 ) )
= $false )
| ( ( ~ ~ ( SV826
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV826 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5717]) ).
thf(5999,plain,
! [SV907: b > b > $o,SV124: b] :
( ( ( ( sK58_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV907 @ SX0 @ SX1 ) )
= SV124 )
= $false )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV907
@ ( sK58_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( SV907 @ SX1 @ SX2 ) )
@ SX0 ) )
!= bot_bot_set_b )
= $true )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV907 @ SV124 @ SX0 ) )
= bot_bot_set_b )
= $true )
| ( ( SV907 @ SV124
@ ( sK58_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV907 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5719]) ).
thf(6000,plain,
! [SV907: b > b > $o,SV124: b] :
( ( ( ( sK58_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV907 @ SX0 @ SX1 ) )
= SV124 )
= $true )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV907 @ SV124 @ SX0 ) )
= bot_bot_set_b )
= $true )
| ( ( SV907 @ SV124
@ ( sK58_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV907 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5720]) ).
thf(6001,plain,
! [SV124: b,SV907: b > b > $o] :
( ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV907
@ ( sK58_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( SV907 @ SX1 @ SX2 ) )
@ SX0 ) )
= bot_bot_set_b )
= $true )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV907 @ SV124 @ SX0 ) )
= bot_bot_set_b )
= $true )
| ( ( SV907 @ SV124
@ ( sK58_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV907 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5721]) ).
thf(6002,plain,
! [SV913: b > b > $o,SV124: b,SV912: b > b > $o] :
( ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV912
@ ( sK58_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( ( SV912 @ SX1 @ SX2 )
| ( SV913 @ SX1 @ SX2 ) ) )
@ SX0 )
| ( SV913
@ ( sK58_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( ( SV912 @ SX1 @ SX2 )
| ( SV913 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= bot_bot_set_b )
= $false )
| ( ( ( sK58_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV912 @ SX0 @ SX1 )
| ( SV913 @ SX0 @ SX1 ) ) )
= SV124 )
= $false )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV912 @ SV124 @ SX0 )
| ( SV913 @ SV124 @ SX0 ) ) )
= bot_bot_set_b )
= $true )
| ( ( SV913 @ SV124
@ ( sK58_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV912 @ SX0 @ SX1 )
| ( SV913 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV912 @ SV124
@ ( sK58_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV912 @ SX0 @ SX1 )
| ( SV913 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5726]) ).
thf(6003,plain,
! [SV841: b > b > $o,SV124: b] :
( ( ( ( sK57_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV841 @ SX0 @ SX1 ) )
= SV124 )
= $false )
| ( ( bot_bot_set_b
!= ( collect_b
@ ^ [SX0: b] :
~ ( SV841
@ ( sK57_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( SV841 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true )
| ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( SV841 @ SV124 @ SX0 ) ) )
= $true )
| ( ( SV841 @ SV124
@ ( sK57_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV841 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5727]) ).
thf(6004,plain,
! [SV841: b > b > $o,SV124: b] :
( ( ( ( sK57_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV841 @ SX0 @ SX1 ) )
= SV124 )
= $true )
| ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( SV841 @ SV124 @ SX0 ) ) )
= $true )
| ( ( SV841 @ SV124
@ ( sK57_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV841 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5728]) ).
thf(6005,plain,
! [SV124: b,SV841: b > b > $o] :
( ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( SV841
@ ( sK57_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( SV841 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true )
| ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( SV841 @ SV124 @ SX0 ) ) )
= $true )
| ( ( SV841 @ SV124
@ ( sK57_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV841 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5729]) ).
thf(6006,plain,
! [SV847: b > b > $o,SV124: b,SV846: b > b > $o] :
( ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV846
@ ( sK57_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( ( SV846 @ SX1 @ SX2 )
| ( SV847 @ SX1 @ SX2 ) ) )
@ SX0 )
| ( SV847
@ ( sK57_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( ( SV846 @ SX1 @ SX2 )
| ( SV847 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
= $false )
| ( ( ( sK57_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV846 @ SX0 @ SX1 )
| ( SV847 @ SX0 @ SX1 ) ) )
= SV124 )
= $false )
| ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( ( SV846 @ SV124 @ SX0 )
| ( SV847 @ SV124 @ SX0 ) ) ) )
= $true )
| ( ( SV847 @ SV124
@ ( sK57_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV846 @ SX0 @ SX1 )
| ( SV847 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV846 @ SV124
@ ( sK57_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( ( SV846 @ SX0 @ SX1 )
| ( SV847 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5734]) ).
thf(6007,plain,
! [SV273: b,SV982: b > $o] :
( ( ( SV982
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV982 @ SX0 ) ) )
= $false )
| ( ( SV982 @ SV273 )
= $true )
| ( ( SV982 @ SV273 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5739]) ).
thf(6010,plain,
! [SV273: b,SV985: b > $o] :
( ( ( ~ ( SV985
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV985 @ SX0 ) ) ) )
= $false )
| ( ( SV985 @ SV273 )
= $false )
| ( ( SV985 @ SV273 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5742]) ).
thf(6011,plain,
! [SV273: b,SV988: b > $o] :
( ( ( SV988 @ SV273 )
= $true )
| ( ( SV988 @ SV273 )
= $true )
| ( ( ~ ~ ( SV988
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV988 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5743]) ).
thf(6014,plain,
! [SV273: b,SV991: b > $o] :
( ( ( SV991 @ SV273 )
= $false )
| ( ( ~ ( SV991 @ SV273 ) )
= $true )
| ( ( ~ ~ ( SV991
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV991 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5746]) ).
thf(6015,plain,
! [SV273: b,SV994: b > $o] :
( ( ( ~ ( SV994 @ SV273 ) )
= $false )
| ( ( ~ ( SV994 @ SV273 ) )
= $false )
| ( ( ~ ~ ( SV994
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV994 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5747]) ).
thf(6017,plain,
! [SV274: b,SV1000: b > $o] :
( ( ( SV1000
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1000 @ SX0 ) ) )
= $false )
| ( ( SV1000 @ SV274 )
= $true )
| ( ( SV1000 @ SV274 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5749]) ).
thf(6020,plain,
! [SV274: b,SV1003: b > $o] :
( ( ( ~ ( SV1003
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1003 @ SX0 ) ) ) )
= $false )
| ( ( SV1003 @ SV274 )
= $false )
| ( ( SV1003 @ SV274 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5752]) ).
thf(6021,plain,
! [SV274: b,SV1006: b > $o] :
( ( ( SV1006 @ SV274 )
= $true )
| ( ( SV1006 @ SV274 )
= $true )
| ( ( ~ ~ ( SV1006
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1006 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5753]) ).
thf(6024,plain,
! [SV274: b,SV1009: b > $o] :
( ( ( SV1009 @ SV274 )
= $false )
| ( ( ~ ( SV1009 @ SV274 ) )
= $true )
| ( ( ~ ~ ( SV1009
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1009 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5756]) ).
thf(6025,plain,
! [SV274: b,SV1012: b > $o] :
( ( ( ~ ( SV1012 @ SV274 ) )
= $false )
| ( ( ~ ( SV1012 @ SV274 ) )
= $false )
| ( ( ~ ~ ( SV1012
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1012 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5757]) ).
thf(6027,plain,
! [SV277: b,SV1018: b > $o] :
( ( ( SV1018
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1018 @ SX0 ) ) )
= $false )
| ( ( SV1018 @ SV277 )
= $true )
| ( ( SV1018 @ SV277 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5759]) ).
thf(6030,plain,
! [SV277: b,SV1021: b > $o] :
( ( ( ~ ( SV1021
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1021 @ SX0 ) ) ) )
= $false )
| ( ( SV1021 @ SV277 )
= $false )
| ( ( SV1021 @ SV277 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5762]) ).
thf(6031,plain,
! [SV277: b,SV1024: b > $o] :
( ( ( SV1024 @ SV277 )
= $true )
| ( ( SV1024 @ SV277 )
= $true )
| ( ( ~ ~ ( SV1024
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1024 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5763]) ).
thf(6034,plain,
! [SV277: b,SV1027: b > $o] :
( ( ( SV1027 @ SV277 )
= $false )
| ( ( ~ ( SV1027 @ SV277 ) )
= $true )
| ( ( ~ ~ ( SV1027
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1027 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5766]) ).
thf(6035,plain,
! [SV277: b,SV1030: b > $o] :
( ( ( ~ ( SV1030 @ SV277 ) )
= $false )
| ( ( ~ ( SV1030 @ SV277 ) )
= $false )
| ( ( ~ ~ ( SV1030
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1030 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5767]) ).
thf(6037,plain,
! [SV278: b,SV1036: b > $o] :
( ( ( SV1036
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1036 @ SX0 ) ) )
= $false )
| ( ( SV1036 @ SV278 )
= $true )
| ( ( SV1036 @ SV278 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5769]) ).
thf(6040,plain,
! [SV278: b,SV1039: b > $o] :
( ( ( ~ ( SV1039
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1039 @ SX0 ) ) ) )
= $false )
| ( ( SV1039 @ SV278 )
= $false )
| ( ( SV1039 @ SV278 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5772]) ).
thf(6041,plain,
! [SV278: b,SV1042: b > $o] :
( ( ( SV1042 @ SV278 )
= $true )
| ( ( SV1042 @ SV278 )
= $true )
| ( ( ~ ~ ( SV1042
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1042 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5773]) ).
thf(6044,plain,
! [SV278: b,SV1045: b > $o] :
( ( ( SV1045 @ SV278 )
= $false )
| ( ( ~ ( SV1045 @ SV278 ) )
= $true )
| ( ( ~ ~ ( SV1045
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1045 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5776]) ).
thf(6045,plain,
! [SV278: b,SV1048: b > $o] :
( ( ( ~ ( SV1048 @ SV278 ) )
= $false )
| ( ( ~ ( SV1048 @ SV278 ) )
= $false )
| ( ( ~ ~ ( SV1048
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1048 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5777]) ).
thf(6047,plain,
! [SV279: b,SV1314: b > $o] :
( ( ( SV1314
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1314 @ SX0 ) ) )
= $false )
| ( ( SV1314 @ SV279 )
= $true )
| ( ( SV1314 @ SV279 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5779]) ).
thf(6050,plain,
! [SV279: b,SV1317: b > $o] :
( ( ( ~ ( SV1317
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1317 @ SX0 ) ) ) )
= $false )
| ( ( SV1317 @ SV279 )
= $false )
| ( ( SV1317 @ SV279 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5782]) ).
thf(6051,plain,
! [SV279: b,SV1320: b > $o] :
( ( ( SV1320 @ SV279 )
= $true )
| ( ( SV1320 @ SV279 )
= $true )
| ( ( ~ ~ ( SV1320
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1320 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5783]) ).
thf(6054,plain,
! [SV279: b,SV1323: b > $o] :
( ( ( SV1323 @ SV279 )
= $false )
| ( ( ~ ( SV1323 @ SV279 ) )
= $true )
| ( ( ~ ~ ( SV1323
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1323 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5786]) ).
thf(6055,plain,
! [SV279: b,SV1326: b > $o] :
( ( ( ~ ( SV1326 @ SV279 ) )
= $false )
| ( ( ~ ( SV1326 @ SV279 ) )
= $false )
| ( ( ~ ~ ( SV1326
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1326 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5787]) ).
thf(6058,plain,
! [SV1332: b > $o] :
( ( ( SV1332
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1332 @ SX0 ) ) )
= $true )
| ( ( SV1332
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ( SV1332 @ SX0 ) ) )
= $false )
| ( ( SV1332
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ( SV1332 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5790]) ).
thf(6059,plain,
! [SV1335: b > $o] :
( ( ( ~ ( SV1335
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1335 @ SX0 ) ) ) )
= $true )
| ( ( SV1335
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ( SV1335 @ SX0 ) ) )
= $true )
| ( ( SV1335
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ( SV1335 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5791]) ).
thf(6062,plain,
! [SV1338: b > $o] :
( ( ( SV1338
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ~ ( SV1338 @ SX0 ) ) )
= $false )
| ( ( SV1338
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ~ ( SV1338 @ SX0 ) ) )
= $false )
| ( ( ~ ~ ( SV1338
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1338 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5794]) ).
thf(6063,plain,
! [SV1341: b > $o] :
( ( ( SV1341
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1341 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV1341
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1341 @ SX0 ) ) ) )
= $false )
| ( ( ~ ~ ( SV1341
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1341 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5795]) ).
thf(6066,plain,
! [SV1344: b > $o] :
( ( ( ~ ( SV1344
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1344 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV1344
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1344 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ( SV1344
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1344 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5798]) ).
thf(6067,plain,
! [SV280: b,SV1350: b > $o] :
( ( ( SV1350
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1350 @ SX0 ) ) )
= $false )
| ( ( SV1350 @ SV280 )
= $true )
| ( ( SV1350 @ SV280 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5799]) ).
thf(6070,plain,
! [SV280: b,SV1353: b > $o] :
( ( ( ~ ( SV1353
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1353 @ SX0 ) ) ) )
= $false )
| ( ( SV1353 @ SV280 )
= $false )
| ( ( SV1353 @ SV280 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5802]) ).
thf(6071,plain,
! [SV280: b,SV1356: b > $o] :
( ( ( SV1356 @ SV280 )
= $true )
| ( ( SV1356 @ SV280 )
= $true )
| ( ( ~ ~ ( SV1356
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1356 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5803]) ).
thf(6074,plain,
! [SV280: b,SV1359: b > $o] :
( ( ( SV1359 @ SV280 )
= $false )
| ( ( ~ ( SV1359 @ SV280 ) )
= $true )
| ( ( ~ ~ ( SV1359
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1359 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5806]) ).
thf(6075,plain,
! [SV280: b,SV1362: b > $o] :
( ( ( ~ ( SV1362 @ SV280 ) )
= $false )
| ( ( ~ ( SV1362 @ SV280 ) )
= $false )
| ( ( ~ ~ ( SV1362
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1362 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5807]) ).
thf(6077,plain,
! [SV281: b,SV1368: b > $o] :
( ( ( SV1368
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1368 @ SX0 ) ) )
= $false )
| ( ( SV1368 @ SV281 )
= $true )
| ( ( SV1368 @ SV281 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5809]) ).
thf(6080,plain,
! [SV281: b,SV1371: b > $o] :
( ( ( ~ ( SV1371
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1371 @ SX0 ) ) ) )
= $false )
| ( ( SV1371 @ SV281 )
= $false )
| ( ( SV1371 @ SV281 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5812]) ).
thf(6081,plain,
! [SV281: b,SV1374: b > $o] :
( ( ( SV1374 @ SV281 )
= $true )
| ( ( SV1374 @ SV281 )
= $true )
| ( ( ~ ~ ( SV1374
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1374 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5813]) ).
thf(6084,plain,
! [SV281: b,SV1377: b > $o] :
( ( ( SV1377 @ SV281 )
= $false )
| ( ( ~ ( SV1377 @ SV281 ) )
= $true )
| ( ( ~ ~ ( SV1377
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1377 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5816]) ).
thf(6085,plain,
! [SV281: b,SV1380: b > $o] :
( ( ( ~ ( SV1380 @ SV281 ) )
= $false )
| ( ( ~ ( SV1380 @ SV281 ) )
= $false )
| ( ( ~ ~ ( SV1380
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1380 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5817]) ).
thf(6087,plain,
! [SV282: b,SV1386: b > $o] :
( ( ( SV1386
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1386 @ SX0 ) ) )
= $false )
| ( ( SV1386 @ SV282 )
= $true )
| ( ( SV1386 @ SV282 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5819]) ).
thf(6090,plain,
! [SV282: b,SV1389: b > $o] :
( ( ( ~ ( SV1389
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1389 @ SX0 ) ) ) )
= $false )
| ( ( SV1389 @ SV282 )
= $false )
| ( ( SV1389 @ SV282 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5822]) ).
thf(6091,plain,
! [SV282: b,SV1392: b > $o] :
( ( ( SV1392 @ SV282 )
= $true )
| ( ( SV1392 @ SV282 )
= $true )
| ( ( ~ ~ ( SV1392
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1392 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5823]) ).
thf(6094,plain,
! [SV282: b,SV1395: b > $o] :
( ( ( SV1395 @ SV282 )
= $false )
| ( ( ~ ( SV1395 @ SV282 ) )
= $true )
| ( ( ~ ~ ( SV1395
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1395 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5826]) ).
thf(6095,plain,
! [SV282: b,SV1398: b > $o] :
( ( ( ~ ( SV1398 @ SV282 ) )
= $false )
| ( ( ~ ( SV1398 @ SV282 ) )
= $false )
| ( ( ~ ~ ( SV1398
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1398 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5827]) ).
thf(6097,plain,
! [SV283: b,SV1404: b > $o] :
( ( ( SV1404
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1404 @ SX0 ) ) )
= $false )
| ( ( SV1404 @ SV283 )
= $true )
| ( ( SV1404 @ SV283 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5829]) ).
thf(6100,plain,
! [SV283: b,SV1407: b > $o] :
( ( ( ~ ( SV1407
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1407 @ SX0 ) ) ) )
= $false )
| ( ( SV1407 @ SV283 )
= $false )
| ( ( SV1407 @ SV283 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5832]) ).
thf(6101,plain,
! [SV283: b,SV1410: b > $o] :
( ( ( SV1410 @ SV283 )
= $true )
| ( ( SV1410 @ SV283 )
= $true )
| ( ( ~ ~ ( SV1410
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1410 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5833]) ).
thf(6104,plain,
! [SV283: b,SV1413: b > $o] :
( ( ( SV1413 @ SV283 )
= $false )
| ( ( ~ ( SV1413 @ SV283 ) )
= $true )
| ( ( ~ ~ ( SV1413
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1413 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5836]) ).
thf(6105,plain,
! [SV283: b,SV1416: b > $o] :
( ( ( ~ ( SV1416 @ SV283 ) )
= $false )
| ( ( ~ ( SV1416 @ SV283 ) )
= $false )
| ( ( ~ ~ ( SV1416
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1416 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5837]) ).
thf(6107,plain,
! [SV176: b,SV1422: b > $o] :
( ( ( SV1422
@ ( sK5_SY206
@ ^ [SX0: b] :
~ ( SV1422 @ SX0 ) ) )
= $false )
| ( ( SV1422 @ SV176 )
= $true )
| ( ( SV1422 @ SV176 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5839]) ).
thf(6110,plain,
! [SV176: b,SV1425: b > $o] :
( ( ( ~ ( SV1425
@ ( sK5_SY206
@ ^ [SX0: b] :
~ ~ ( SV1425 @ SX0 ) ) ) )
= $false )
| ( ( SV1425 @ SV176 )
= $false )
| ( ( SV1425 @ SV176 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5842]) ).
thf(6111,plain,
! [SV176: b,SV1428: b > $o] :
( ( ( SV1428 @ SV176 )
= $true )
| ( ( SV1428 @ SV176 )
= $true )
| ( ( ~ ~ ( SV1428
@ ( sK5_SY206
@ ^ [SX0: b] :
~ ~ ~ ( SV1428 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5843]) ).
thf(6114,plain,
! [SV176: b,SV1431: b > $o] :
( ( ( SV1431 @ SV176 )
= $false )
| ( ( ~ ( SV1431 @ SV176 ) )
= $true )
| ( ( ~ ~ ( SV1431
@ ( sK5_SY206
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1431 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5846]) ).
thf(6115,plain,
! [SV176: b,SV1434: b > $o] :
( ( ( ~ ( SV1434 @ SV176 ) )
= $false )
| ( ( ~ ( SV1434 @ SV176 ) )
= $false )
| ( ( ~ ~ ( SV1434
@ ( sK5_SY206
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1434 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5847]) ).
thf(6117,plain,
! [SV177: b,SV1440: b > $o] :
( ( ( SV1440
@ ( sK6_SY207
@ ^ [SX0: b] :
~ ( SV1440 @ SX0 ) ) )
= $false )
| ( ( SV1440 @ SV177 )
= $true )
| ( ( SV1440 @ SV177 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5849]) ).
thf(6120,plain,
! [SV177: b,SV1443: b > $o] :
( ( ( ~ ( SV1443
@ ( sK6_SY207
@ ^ [SX0: b] :
~ ~ ( SV1443 @ SX0 ) ) ) )
= $false )
| ( ( SV1443 @ SV177 )
= $false )
| ( ( SV1443 @ SV177 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5852]) ).
thf(6121,plain,
! [SV177: b,SV1446: b > $o] :
( ( ( SV1446 @ SV177 )
= $true )
| ( ( SV1446 @ SV177 )
= $true )
| ( ( ~ ~ ( SV1446
@ ( sK6_SY207
@ ^ [SX0: b] :
~ ~ ~ ( SV1446 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5853]) ).
thf(6124,plain,
! [SV177: b,SV1449: b > $o] :
( ( ( SV1449 @ SV177 )
= $false )
| ( ( ~ ( SV1449 @ SV177 ) )
= $true )
| ( ( ~ ~ ( SV1449
@ ( sK6_SY207
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1449 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5856]) ).
thf(6125,plain,
! [SV177: b,SV1452: b > $o] :
( ( ( ~ ( SV1452 @ SV177 ) )
= $false )
| ( ( ~ ( SV1452 @ SV177 ) )
= $false )
| ( ( ~ ~ ( SV1452
@ ( sK6_SY207
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1452 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5857]) ).
thf(6127,plain,
! [SV284: b,SV1458: b > $o] :
( ( ( SV1458
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1458 @ SX0 ) ) )
= $false )
| ( ( SV1458 @ SV284 )
= $true )
| ( ( SV1458 @ SV284 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5859]) ).
thf(6130,plain,
! [SV284: b,SV1461: b > $o] :
( ( ( ~ ( SV1461
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1461 @ SX0 ) ) ) )
= $false )
| ( ( SV1461 @ SV284 )
= $false )
| ( ( SV1461 @ SV284 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5862]) ).
thf(6131,plain,
! [SV284: b,SV1464: b > $o] :
( ( ( SV1464 @ SV284 )
= $true )
| ( ( SV1464 @ SV284 )
= $true )
| ( ( ~ ~ ( SV1464
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1464 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5863]) ).
thf(6134,plain,
! [SV284: b,SV1467: b > $o] :
( ( ( SV1467 @ SV284 )
= $false )
| ( ( ~ ( SV1467 @ SV284 ) )
= $true )
| ( ( ~ ~ ( SV1467
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1467 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5866]) ).
thf(6135,plain,
! [SV284: b,SV1470: b > $o] :
( ( ( ~ ( SV1470 @ SV284 ) )
= $false )
| ( ( ~ ( SV1470 @ SV284 ) )
= $false )
| ( ( ~ ~ ( SV1470
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1470 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5867]) ).
thf(6137,plain,
! [SV285: b,SV1476: b > $o] :
( ( ( SV1476
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1476 @ SX0 ) ) )
= $false )
| ( ( SV1476 @ SV285 )
= $true )
| ( ( SV1476 @ SV285 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5869]) ).
thf(6140,plain,
! [SV285: b,SV1479: b > $o] :
( ( ( ~ ( SV1479
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1479 @ SX0 ) ) ) )
= $false )
| ( ( SV1479 @ SV285 )
= $false )
| ( ( SV1479 @ SV285 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5872]) ).
thf(6141,plain,
! [SV285: b,SV1482: b > $o] :
( ( ( SV1482 @ SV285 )
= $true )
| ( ( SV1482 @ SV285 )
= $true )
| ( ( ~ ~ ( SV1482
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1482 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5873]) ).
thf(6144,plain,
! [SV285: b,SV1485: b > $o] :
( ( ( SV1485 @ SV285 )
= $false )
| ( ( ~ ( SV1485 @ SV285 ) )
= $true )
| ( ( ~ ~ ( SV1485
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1485 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5876]) ).
thf(6145,plain,
! [SV285: b,SV1488: b > $o] :
( ( ( ~ ( SV1488 @ SV285 ) )
= $false )
| ( ( ~ ( SV1488 @ SV285 ) )
= $false )
| ( ( ~ ~ ( SV1488
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1488 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5877]) ).
thf(6147,plain,
! [SV286: b,SV1494: b > $o] :
( ( ( SV1494
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1494 @ SX0 ) ) )
= $false )
| ( ( SV1494 @ SV286 )
= $true )
| ( ( SV1494 @ SV286 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5879]) ).
thf(6150,plain,
! [SV286: b,SV1497: b > $o] :
( ( ( ~ ( SV1497
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1497 @ SX0 ) ) ) )
= $false )
| ( ( SV1497 @ SV286 )
= $false )
| ( ( SV1497 @ SV286 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5882]) ).
thf(6151,plain,
! [SV286: b,SV1500: b > $o] :
( ( ( SV1500 @ SV286 )
= $true )
| ( ( SV1500 @ SV286 )
= $true )
| ( ( ~ ~ ( SV1500
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1500 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5883]) ).
thf(6154,plain,
! [SV286: b,SV1503: b > $o] :
( ( ( SV1503 @ SV286 )
= $false )
| ( ( ~ ( SV1503 @ SV286 ) )
= $true )
| ( ( ~ ~ ( SV1503
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1503 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5886]) ).
thf(6155,plain,
! [SV286: b,SV1506: b > $o] :
( ( ( ~ ( SV1506 @ SV286 ) )
= $false )
| ( ( ~ ( SV1506 @ SV286 ) )
= $false )
| ( ( ~ ~ ( SV1506
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1506 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5887]) ).
thf(6158,plain,
! [SV260: b,SV347: b > $o] :
( ( ( SV347
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV347 @ SX0 ) ) )
= $true )
| ( ( SV347 @ SV260 )
= $false )
| ( ( SV347 @ SV260 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5892]) ).
thf(6159,plain,
! [SV260: b,SV350: b > $o] :
( ( ( ~ ( SV350
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV350 @ SX0 ) ) ) )
= $true )
| ( ( SV350 @ SV260 )
= $true )
| ( ( SV350 @ SV260 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5893]) ).
thf(6162,plain,
! [SV260: b,SV353: b > $o] :
( ( ( SV353 @ SV260 )
= $false )
| ( ( SV353 @ SV260 )
= $false )
| ( ( ~ ~ ( SV353
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV353 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5896]) ).
thf(6163,plain,
! [SV260: b,SV356: b > $o] :
( ( ( SV356 @ SV260 )
= $true )
| ( ( ~ ( SV356 @ SV260 ) )
= $false )
| ( ( ~ ~ ( SV356
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV356 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5897]) ).
thf(6166,plain,
! [SV265: b,SV365: b > $o] :
( ( ( SV365
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV365 @ SX0 ) ) )
= $true )
| ( ( SV365 @ SV265 )
= $false )
| ( ( SV365 @ SV265 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5902]) ).
thf(6167,plain,
! [SV265: b,SV368: b > $o] :
( ( ( ~ ( SV368
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV368 @ SX0 ) ) ) )
= $true )
| ( ( SV368 @ SV265 )
= $true )
| ( ( SV368 @ SV265 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5903]) ).
thf(6170,plain,
! [SV265: b,SV371: b > $o] :
( ( ( SV371 @ SV265 )
= $false )
| ( ( SV371 @ SV265 )
= $false )
| ( ( ~ ~ ( SV371
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV371 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5906]) ).
thf(6171,plain,
! [SV265: b,SV374: b > $o] :
( ( ( SV374 @ SV265 )
= $true )
| ( ( ~ ( SV374 @ SV265 ) )
= $false )
| ( ( ~ ~ ( SV374
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV374 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5907]) ).
thf(6174,plain,
! [SV266: b,SV383: b > $o] :
( ( ( SV383
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV383 @ SX0 ) ) )
= $true )
| ( ( SV383 @ SV266 )
= $false )
| ( ( SV383 @ SV266 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5912]) ).
thf(6175,plain,
! [SV266: b,SV386: b > $o] :
( ( ( ~ ( SV386
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV386 @ SX0 ) ) ) )
= $true )
| ( ( SV386 @ SV266 )
= $true )
| ( ( SV386 @ SV266 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5913]) ).
thf(6178,plain,
! [SV266: b,SV389: b > $o] :
( ( ( SV389 @ SV266 )
= $false )
| ( ( SV389 @ SV266 )
= $false )
| ( ( ~ ~ ( SV389
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV389 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5916]) ).
thf(6179,plain,
! [SV266: b,SV392: b > $o] :
( ( ( SV392 @ SV266 )
= $true )
| ( ( ~ ( SV392 @ SV266 ) )
= $false )
| ( ( ~ ~ ( SV392
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV392 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5917]) ).
thf(6181,plain,
! [SV454: b > b > $o,SV486: b > set_b,SV485: b > b,SV99: b] :
( ( ( SV99
= ( sK52_E
@ ^ [SX0: b] : ( insert_b @ ( SV485 @ SX0 ) @ ( SV486 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV454 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ~ ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV454
@ ( sK52_E
@ ^ [SX1: b] : ( insert_b @ ( SV485 @ SX1 ) @ ( SV486 @ SX1 ) )
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( SV454 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( insert_b
@ ( SV485
@ ( sK52_E
@ ^ [SX0: b] : ( insert_b @ ( SV485 @ SX0 ) @ ( SV486 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV454 @ SX0 @ SX1 ) ) )
@ ( SV486
@ ( sK52_E
@ ^ [SX0: b] : ( insert_b @ ( SV485 @ SX0 ) @ ( SV486 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV454 @ SX0 @ SX1 ) ) ) ) ) ) )
= $true )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV454 @ SV99 @ SX0 ) )
= ( insert_b @ ( SV485 @ SV99 ) @ ( SV486 @ SV99 ) ) )
= $true )
| ( ( ( insert_b @ ( SV485 @ SV99 ) @ ( SV486 @ SV99 ) )
= ( insert_b @ SV99 @ bot_bot_set_b ) )
= $false )
| ( ( SV454 @ SV99
@ ( sK52_E
@ ^ [SX0: b] : ( insert_b @ ( SV485 @ SX0 ) @ ( SV486 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV454 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5919]) ).
thf(6182,plain,
! [SV454: b > b > $o,SV482: b > set_b,SV481: b > b,SV99: b] :
( ( ( SV99
= ( sK52_E
@ ^ [SX0: b] : ( insert_b @ ( SV481 @ SX0 ) @ ( SV482 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV454 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV454 @ SV99 @ SX0 ) )
= ( insert_b @ ( SV481 @ SV99 ) @ ( SV482 @ SV99 ) ) )
= $true )
| ( ( ( insert_b @ ( SV481 @ SV99 ) @ ( SV482 @ SV99 ) )
= ( insert_b @ SV99 @ bot_bot_set_b ) )
= $false )
| ( ( SV454 @ SV99
@ ( sK52_E
@ ^ [SX0: b] : ( insert_b @ ( SV481 @ SX0 ) @ ( SV482 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV454 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5920]) ).
thf(6183,plain,
! [SV99: b,SV482: b > set_b,SV481: b > b,SV454: b > b > $o] :
( ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV454
@ ( sK52_E
@ ^ [SX1: b] : ( insert_b @ ( SV481 @ SX1 ) @ ( SV482 @ SX1 ) )
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( SV454 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( insert_b
@ ( SV481
@ ( sK52_E
@ ^ [SX0: b] : ( insert_b @ ( SV481 @ SX0 ) @ ( SV482 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV454 @ SX0 @ SX1 ) ) )
@ ( SV482
@ ( sK52_E
@ ^ [SX0: b] : ( insert_b @ ( SV481 @ SX0 ) @ ( SV482 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV454 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV454 @ SV99 @ SX0 ) )
= ( insert_b @ ( SV481 @ SV99 ) @ ( SV482 @ SV99 ) ) )
= $true )
| ( ( ( insert_b @ ( SV481 @ SV99 ) @ ( SV482 @ SV99 ) )
= ( insert_b @ SV99 @ bot_bot_set_b ) )
= $false )
| ( ( SV454 @ SV99
@ ( sK52_E
@ ^ [SX0: b] : ( insert_b @ ( SV481 @ SX0 ) @ ( SV482 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV454 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5921]) ).
thf(6184,plain,
! [SV410: b > b > $o,SV442: b > set_b,SV441: b > b,SV99: b] :
( ( ( SV99
= ( sK51_E
@ ^ [SX0: b] : ( insert_b @ ( SV441 @ SX0 ) @ ( SV442 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV410 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ~ ( ( ( insert_b
@ ( SV441
@ ( sK51_E
@ ^ [SX0: b] : ( insert_b @ ( SV441 @ SX0 ) @ ( SV442 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV410 @ SX0 @ SX1 ) ) )
@ ( SV442
@ ( sK51_E
@ ^ [SX0: b] : ( insert_b @ ( SV441 @ SX0 ) @ ( SV442 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV410 @ SX0 @ SX1 ) ) ) )
!= ( collect_b
@ ^ [SX0: b] :
~ ( SV410
@ ( sK51_E
@ ^ [SX1: b] : ( insert_b @ ( SV441 @ SX1 ) @ ( SV442 @ SX1 ) )
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( SV410 @ SX1 @ SX2 ) )
@ SX0 ) ) ) ) )
= $true )
| ( ( ( insert_b @ ( SV441 @ SV99 ) @ ( SV442 @ SV99 ) )
= ( collect_b
@ ^ [SX0: b] :
~ ( SV410 @ SV99 @ SX0 ) ) )
= $true )
| ( ( ( insert_b @ ( SV441 @ SV99 ) @ ( SV442 @ SV99 ) )
= ( insert_b @ SV99 @ bot_bot_set_b ) )
= $false )
| ( ( SV410 @ SV99
@ ( sK51_E
@ ^ [SX0: b] : ( insert_b @ ( SV441 @ SX0 ) @ ( SV442 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV410 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5922]) ).
thf(6185,plain,
! [SV410: b > b > $o,SV438: b > set_b,SV437: b > b,SV99: b] :
( ( ( SV99
= ( sK51_E
@ ^ [SX0: b] : ( insert_b @ ( SV437 @ SX0 ) @ ( SV438 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV410 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( insert_b @ ( SV437 @ SV99 ) @ ( SV438 @ SV99 ) )
= ( collect_b
@ ^ [SX0: b] :
~ ( SV410 @ SV99 @ SX0 ) ) )
= $true )
| ( ( ( insert_b @ ( SV437 @ SV99 ) @ ( SV438 @ SV99 ) )
= ( insert_b @ SV99 @ bot_bot_set_b ) )
= $false )
| ( ( SV410 @ SV99
@ ( sK51_E
@ ^ [SX0: b] : ( insert_b @ ( SV437 @ SX0 ) @ ( SV438 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV410 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5923]) ).
thf(6186,plain,
! [SV410: b > b > $o,SV99: b,SV438: b > set_b,SV437: b > b] :
( ( ( ( insert_b
@ ( SV437
@ ( sK51_E
@ ^ [SX0: b] : ( insert_b @ ( SV437 @ SX0 ) @ ( SV438 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV410 @ SX0 @ SX1 ) ) )
@ ( SV438
@ ( sK51_E
@ ^ [SX0: b] : ( insert_b @ ( SV437 @ SX0 ) @ ( SV438 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV410 @ SX0 @ SX1 ) ) ) )
!= ( collect_b
@ ^ [SX0: b] :
~ ( SV410
@ ( sK51_E
@ ^ [SX1: b] : ( insert_b @ ( SV437 @ SX1 ) @ ( SV438 @ SX1 ) )
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( SV410 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true )
| ( ( ( insert_b @ ( SV437 @ SV99 ) @ ( SV438 @ SV99 ) )
= ( collect_b
@ ^ [SX0: b] :
~ ( SV410 @ SV99 @ SX0 ) ) )
= $true )
| ( ( ( insert_b @ ( SV437 @ SV99 ) @ ( SV438 @ SV99 ) )
= ( insert_b @ SV99 @ bot_bot_set_b ) )
= $false )
| ( ( SV410 @ SV99
@ ( sK51_E
@ ^ [SX0: b] : ( insert_b @ ( SV437 @ SX0 ) @ ( SV438 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV410 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5924]) ).
thf(6187,plain,
! [SV549: b > b > $o,SV124: b,SV581: b > set_b,SV580: b > b] :
( ( ( ( sK54_E
@ ^ [SX0: b] : ( insert_b @ ( SV580 @ SX0 ) @ ( SV581 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV549 @ SX0 @ SX1 ) )
= SV124 )
= $false )
| ( ( ~ ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV549
@ ( sK54_E
@ ^ [SX1: b] : ( insert_b @ ( SV580 @ SX1 ) @ ( SV581 @ SX1 ) )
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( SV549 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( insert_b
@ ( SV580
@ ( sK54_E
@ ^ [SX0: b] : ( insert_b @ ( SV580 @ SX0 ) @ ( SV581 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV549 @ SX0 @ SX1 ) ) )
@ ( SV581
@ ( sK54_E
@ ^ [SX0: b] : ( insert_b @ ( SV580 @ SX0 ) @ ( SV581 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV549 @ SX0 @ SX1 ) ) ) ) ) ) )
= $true )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV549 @ SV124 @ SX0 ) )
= ( insert_b @ ( SV580 @ SV124 ) @ ( SV581 @ SV124 ) ) )
= $true )
| ( ( ( insert_b @ ( SV580 @ SV124 ) @ ( SV581 @ SV124 ) )
= ( insert_b @ SV124 @ bot_bot_set_b ) )
= $false )
| ( ( SV549 @ SV124
@ ( sK54_E
@ ^ [SX0: b] : ( insert_b @ ( SV580 @ SX0 ) @ ( SV581 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV549 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5925]) ).
thf(6188,plain,
! [SV549: b > b > $o,SV124: b,SV577: b > set_b,SV576: b > b] :
( ( ( ( sK54_E
@ ^ [SX0: b] : ( insert_b @ ( SV576 @ SX0 ) @ ( SV577 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV549 @ SX0 @ SX1 ) )
= SV124 )
= $true )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV549 @ SV124 @ SX0 ) )
= ( insert_b @ ( SV576 @ SV124 ) @ ( SV577 @ SV124 ) ) )
= $true )
| ( ( ( insert_b @ ( SV576 @ SV124 ) @ ( SV577 @ SV124 ) )
= ( insert_b @ SV124 @ bot_bot_set_b ) )
= $false )
| ( ( SV549 @ SV124
@ ( sK54_E
@ ^ [SX0: b] : ( insert_b @ ( SV576 @ SX0 ) @ ( SV577 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV549 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5926]) ).
thf(6189,plain,
! [SV124: b,SV577: b > set_b,SV576: b > b,SV549: b > b > $o] :
( ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV549
@ ( sK54_E
@ ^ [SX1: b] : ( insert_b @ ( SV576 @ SX1 ) @ ( SV577 @ SX1 ) )
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( SV549 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( insert_b
@ ( SV576
@ ( sK54_E
@ ^ [SX0: b] : ( insert_b @ ( SV576 @ SX0 ) @ ( SV577 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV549 @ SX0 @ SX1 ) ) )
@ ( SV577
@ ( sK54_E
@ ^ [SX0: b] : ( insert_b @ ( SV576 @ SX0 ) @ ( SV577 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV549 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV549 @ SV124 @ SX0 ) )
= ( insert_b @ ( SV576 @ SV124 ) @ ( SV577 @ SV124 ) ) )
= $true )
| ( ( ( insert_b @ ( SV576 @ SV124 ) @ ( SV577 @ SV124 ) )
= ( insert_b @ SV124 @ bot_bot_set_b ) )
= $false )
| ( ( SV549 @ SV124
@ ( sK54_E
@ ^ [SX0: b] : ( insert_b @ ( SV576 @ SX0 ) @ ( SV577 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV549 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5927]) ).
thf(6190,plain,
! [SV505: b > b > $o,SV124: b,SV537: b > set_b,SV536: b > b] :
( ( ( ( sK53_E
@ ^ [SX0: b] : ( insert_b @ ( SV536 @ SX0 ) @ ( SV537 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV505 @ SX0 @ SX1 ) )
= SV124 )
= $false )
| ( ( ~ ( ( ( insert_b
@ ( SV536
@ ( sK53_E
@ ^ [SX0: b] : ( insert_b @ ( SV536 @ SX0 ) @ ( SV537 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV505 @ SX0 @ SX1 ) ) )
@ ( SV537
@ ( sK53_E
@ ^ [SX0: b] : ( insert_b @ ( SV536 @ SX0 ) @ ( SV537 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV505 @ SX0 @ SX1 ) ) ) )
!= ( collect_b
@ ^ [SX0: b] :
~ ( SV505
@ ( sK53_E
@ ^ [SX1: b] : ( insert_b @ ( SV536 @ SX1 ) @ ( SV537 @ SX1 ) )
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( SV505 @ SX1 @ SX2 ) )
@ SX0 ) ) ) ) )
= $true )
| ( ( ( insert_b @ ( SV536 @ SV124 ) @ ( SV537 @ SV124 ) )
= ( collect_b
@ ^ [SX0: b] :
~ ( SV505 @ SV124 @ SX0 ) ) )
= $true )
| ( ( ( insert_b @ ( SV536 @ SV124 ) @ ( SV537 @ SV124 ) )
= ( insert_b @ SV124 @ bot_bot_set_b ) )
= $false )
| ( ( SV505 @ SV124
@ ( sK53_E
@ ^ [SX0: b] : ( insert_b @ ( SV536 @ SX0 ) @ ( SV537 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV505 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5928]) ).
thf(6191,plain,
! [SV505: b > b > $o,SV124: b,SV533: b > set_b,SV532: b > b] :
( ( ( ( sK53_E
@ ^ [SX0: b] : ( insert_b @ ( SV532 @ SX0 ) @ ( SV533 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV505 @ SX0 @ SX1 ) )
= SV124 )
= $true )
| ( ( ( insert_b @ ( SV532 @ SV124 ) @ ( SV533 @ SV124 ) )
= ( collect_b
@ ^ [SX0: b] :
~ ( SV505 @ SV124 @ SX0 ) ) )
= $true )
| ( ( ( insert_b @ ( SV532 @ SV124 ) @ ( SV533 @ SV124 ) )
= ( insert_b @ SV124 @ bot_bot_set_b ) )
= $false )
| ( ( SV505 @ SV124
@ ( sK53_E
@ ^ [SX0: b] : ( insert_b @ ( SV532 @ SX0 ) @ ( SV533 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV505 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5929]) ).
thf(6192,plain,
! [SV505: b > b > $o,SV124: b,SV533: b > set_b,SV532: b > b] :
( ( ( ( insert_b
@ ( SV532
@ ( sK53_E
@ ^ [SX0: b] : ( insert_b @ ( SV532 @ SX0 ) @ ( SV533 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV505 @ SX0 @ SX1 ) ) )
@ ( SV533
@ ( sK53_E
@ ^ [SX0: b] : ( insert_b @ ( SV532 @ SX0 ) @ ( SV533 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV505 @ SX0 @ SX1 ) ) ) )
!= ( collect_b
@ ^ [SX0: b] :
~ ( SV505
@ ( sK53_E
@ ^ [SX1: b] : ( insert_b @ ( SV532 @ SX1 ) @ ( SV533 @ SX1 ) )
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( SV505 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true )
| ( ( ( insert_b @ ( SV532 @ SV124 ) @ ( SV533 @ SV124 ) )
= ( collect_b
@ ^ [SX0: b] :
~ ( SV505 @ SV124 @ SX0 ) ) )
= $true )
| ( ( ( insert_b @ ( SV532 @ SV124 ) @ ( SV533 @ SV124 ) )
= ( insert_b @ SV124 @ bot_bot_set_b ) )
= $false )
| ( ( SV505 @ SV124
@ ( sK53_E
@ ^ [SX0: b] : ( insert_b @ ( SV532 @ SX0 ) @ ( SV533 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV505 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5930]) ).
thf(6194,plain,
! [SV267: b,SV591: b > $o] :
( ( ( SV591
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV591 @ SX0 ) ) )
= $true )
| ( ( SV591 @ SV267 )
= $false )
| ( ( SV591 @ SV267 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5934]) ).
thf(6195,plain,
! [SV267: b,SV594: b > $o] :
( ( ( ~ ( SV594
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV594 @ SX0 ) ) ) )
= $true )
| ( ( SV594 @ SV267 )
= $true )
| ( ( SV594 @ SV267 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5935]) ).
thf(6198,plain,
! [SV267: b,SV597: b > $o] :
( ( ( SV597 @ SV267 )
= $false )
| ( ( SV597 @ SV267 )
= $false )
| ( ( ~ ~ ( SV597
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV597 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5938]) ).
thf(6199,plain,
! [SV267: b,SV600: b > $o] :
( ( ( SV600 @ SV267 )
= $true )
| ( ( ~ ( SV600 @ SV267 ) )
= $false )
| ( ( ~ ~ ( SV600
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV600 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5939]) ).
thf(6201,plain,
! [SV99: b,SV681: b > b > $o] :
( ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV681
@ ( sK56_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( SV681 @ SX1 @ SX2 ) )
@ SX0 ) )
= bot_bot_set_b )
= $false )
| ( ( SV99
= ( sK56_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV681 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV681 @ SV99 @ SX0 ) )
= bot_bot_set_b )
= $true )
| ( ( SV681 @ SV99
@ ( sK56_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV681 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5941]) ).
thf(6202,plain,
! [SV99: b,SV615: b > b > $o] :
( ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( SV615
@ ( sK55_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( SV615 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $false )
| ( ( SV99
= ( sK55_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV615 @ SX0 @ SX1 ) ) )
= $false )
| ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( SV615 @ SV99 @ SX0 ) ) )
= $true )
| ( ( SV615 @ SV99
@ ( sK55_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV615 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5945]) ).
thf(6212,plain,
! [SV268: b,SV763: b > $o] :
( ( ( SV763
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV763 @ SX0 ) ) )
= $true )
| ( ( SV763 @ SV268 )
= $false )
| ( ( SV763 @ SV268 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5962]) ).
thf(6213,plain,
! [SV268: b,SV766: b > $o] :
( ( ( ~ ( SV766
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV766 @ SX0 ) ) ) )
= $true )
| ( ( SV766 @ SV268 )
= $true )
| ( ( SV766 @ SV268 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5963]) ).
thf(6216,plain,
! [SV268: b,SV769: b > $o] :
( ( ( SV769 @ SV268 )
= $false )
| ( ( SV769 @ SV268 )
= $false )
| ( ( ~ ~ ( SV769
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV769 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5966]) ).
thf(6217,plain,
! [SV268: b,SV772: b > $o] :
( ( ( SV772 @ SV268 )
= $true )
| ( ( ~ ( SV772 @ SV268 ) )
= $false )
| ( ( ~ ~ ( SV772
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV772 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5967]) ).
thf(6228,plain,
! [SV269: b,SV799: b > $o] :
( ( ( SV799
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV799 @ SX0 ) ) )
= $true )
| ( ( SV799 @ SV269 )
= $false )
| ( ( SV799 @ SV269 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5982]) ).
thf(6229,plain,
! [SV269: b,SV802: b > $o] :
( ( ( ~ ( SV802
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV802 @ SX0 ) ) ) )
= $true )
| ( ( SV802 @ SV269 )
= $true )
| ( ( SV802 @ SV269 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5983]) ).
thf(6232,plain,
! [SV269: b,SV805: b > $o] :
( ( ( SV805 @ SV269 )
= $false )
| ( ( SV805 @ SV269 )
= $false )
| ( ( ~ ~ ( SV805
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV805 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5986]) ).
thf(6233,plain,
! [SV269: b,SV808: b > $o] :
( ( ( SV808 @ SV269 )
= $true )
| ( ( ~ ( SV808 @ SV269 ) )
= $false )
| ( ( ~ ~ ( SV808
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV808 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5987]) ).
thf(6236,plain,
! [SV270: b,SV817: b > $o] :
( ( ( SV817
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV817 @ SX0 ) ) )
= $true )
| ( ( SV817 @ SV270 )
= $false )
| ( ( SV817 @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5992]) ).
thf(6237,plain,
! [SV270: b,SV820: b > $o] :
( ( ( ~ ( SV820
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV820 @ SX0 ) ) ) )
= $true )
| ( ( SV820 @ SV270 )
= $true )
| ( ( SV820 @ SV270 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5993]) ).
thf(6240,plain,
! [SV270: b,SV823: b > $o] :
( ( ( SV823 @ SV270 )
= $false )
| ( ( SV823 @ SV270 )
= $false )
| ( ( ~ ~ ( SV823
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV823 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5996]) ).
thf(6241,plain,
! [SV270: b,SV826: b > $o] :
( ( ( SV826 @ SV270 )
= $true )
| ( ( ~ ( SV826 @ SV270 ) )
= $false )
| ( ( ~ ~ ( SV826
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV826 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5997]) ).
thf(6243,plain,
! [SV124: b,SV907: b > b > $o] :
( ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV907
@ ( sK58_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( SV907 @ SX1 @ SX2 ) )
@ SX0 ) )
= bot_bot_set_b )
= $false )
| ( ( ( sK58_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV907 @ SX0 @ SX1 ) )
= SV124 )
= $false )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV907 @ SV124 @ SX0 ) )
= bot_bot_set_b )
= $true )
| ( ( SV907 @ SV124
@ ( sK58_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV907 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5999]) ).
thf(6244,plain,
! [SV124: b,SV841: b > b > $o] :
( ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( SV841
@ ( sK57_E
@ ^ [SX1: b] : bot_bot_set_b
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( SV841 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK57_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV841 @ SX0 @ SX1 ) )
= SV124 )
= $false )
| ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
~ ( SV841 @ SV124 @ SX0 ) ) )
= $true )
| ( ( SV841 @ SV124
@ ( sK57_E
@ ^ [SX0: b] : bot_bot_set_b
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV841 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6003]) ).
thf(6246,plain,
! [SV273: b,SV985: b > $o] :
( ( ( SV985
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV985 @ SX0 ) ) )
= $true )
| ( ( SV985 @ SV273 )
= $false )
| ( ( SV985 @ SV273 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6010]) ).
thf(6247,plain,
! [SV273: b,SV988: b > $o] :
( ( ( ~ ( SV988
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV988 @ SX0 ) ) ) )
= $true )
| ( ( SV988 @ SV273 )
= $true )
| ( ( SV988 @ SV273 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6011]) ).
thf(6250,plain,
! [SV273: b,SV991: b > $o] :
( ( ( SV991 @ SV273 )
= $false )
| ( ( SV991 @ SV273 )
= $false )
| ( ( ~ ~ ( SV991
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV991 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6014]) ).
thf(6251,plain,
! [SV273: b,SV994: b > $o] :
( ( ( SV994 @ SV273 )
= $true )
| ( ( ~ ( SV994 @ SV273 ) )
= $false )
| ( ( ~ ~ ( SV994
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV994 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6015]) ).
thf(6254,plain,
! [SV274: b,SV1003: b > $o] :
( ( ( SV1003
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1003 @ SX0 ) ) )
= $true )
| ( ( SV1003 @ SV274 )
= $false )
| ( ( SV1003 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6020]) ).
thf(6255,plain,
! [SV274: b,SV1006: b > $o] :
( ( ( ~ ( SV1006
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1006 @ SX0 ) ) ) )
= $true )
| ( ( SV1006 @ SV274 )
= $true )
| ( ( SV1006 @ SV274 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6021]) ).
thf(6258,plain,
! [SV274: b,SV1009: b > $o] :
( ( ( SV1009 @ SV274 )
= $false )
| ( ( SV1009 @ SV274 )
= $false )
| ( ( ~ ~ ( SV1009
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1009 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6024]) ).
thf(6259,plain,
! [SV274: b,SV1012: b > $o] :
( ( ( SV1012 @ SV274 )
= $true )
| ( ( ~ ( SV1012 @ SV274 ) )
= $false )
| ( ( ~ ~ ( SV1012
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1012 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6025]) ).
thf(6262,plain,
! [SV277: b,SV1021: b > $o] :
( ( ( SV1021
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1021 @ SX0 ) ) )
= $true )
| ( ( SV1021 @ SV277 )
= $false )
| ( ( SV1021 @ SV277 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6030]) ).
thf(6263,plain,
! [SV277: b,SV1024: b > $o] :
( ( ( ~ ( SV1024
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1024 @ SX0 ) ) ) )
= $true )
| ( ( SV1024 @ SV277 )
= $true )
| ( ( SV1024 @ SV277 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6031]) ).
thf(6266,plain,
! [SV277: b,SV1027: b > $o] :
( ( ( SV1027 @ SV277 )
= $false )
| ( ( SV1027 @ SV277 )
= $false )
| ( ( ~ ~ ( SV1027
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1027 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6034]) ).
thf(6267,plain,
! [SV277: b,SV1030: b > $o] :
( ( ( SV1030 @ SV277 )
= $true )
| ( ( ~ ( SV1030 @ SV277 ) )
= $false )
| ( ( ~ ~ ( SV1030
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1030 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6035]) ).
thf(6270,plain,
! [SV278: b,SV1039: b > $o] :
( ( ( SV1039
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1039 @ SX0 ) ) )
= $true )
| ( ( SV1039 @ SV278 )
= $false )
| ( ( SV1039 @ SV278 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6040]) ).
thf(6271,plain,
! [SV278: b,SV1042: b > $o] :
( ( ( ~ ( SV1042
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1042 @ SX0 ) ) ) )
= $true )
| ( ( SV1042 @ SV278 )
= $true )
| ( ( SV1042 @ SV278 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6041]) ).
thf(6274,plain,
! [SV278: b,SV1045: b > $o] :
( ( ( SV1045 @ SV278 )
= $false )
| ( ( SV1045 @ SV278 )
= $false )
| ( ( ~ ~ ( SV1045
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1045 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6044]) ).
thf(6275,plain,
! [SV278: b,SV1048: b > $o] :
( ( ( SV1048 @ SV278 )
= $true )
| ( ( ~ ( SV1048 @ SV278 ) )
= $false )
| ( ( ~ ~ ( SV1048
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1048 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6045]) ).
thf(6278,plain,
! [SV279: b,SV1317: b > $o] :
( ( ( SV1317
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1317 @ SX0 ) ) )
= $true )
| ( ( SV1317 @ SV279 )
= $false )
| ( ( SV1317 @ SV279 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6050]) ).
thf(6279,plain,
! [SV279: b,SV1320: b > $o] :
( ( ( ~ ( SV1320
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1320 @ SX0 ) ) ) )
= $true )
| ( ( SV1320 @ SV279 )
= $true )
| ( ( SV1320 @ SV279 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6051]) ).
thf(6282,plain,
! [SV279: b,SV1323: b > $o] :
( ( ( SV1323 @ SV279 )
= $false )
| ( ( SV1323 @ SV279 )
= $false )
| ( ( ~ ~ ( SV1323
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1323 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6054]) ).
thf(6283,plain,
! [SV279: b,SV1326: b > $o] :
( ( ( SV1326 @ SV279 )
= $true )
| ( ( ~ ( SV1326 @ SV279 ) )
= $false )
| ( ( ~ ~ ( SV1326
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1326 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6055]) ).
thf(6285,plain,
! [SV1335: b > $o] :
( ( ( SV1335
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1335 @ SX0 ) ) )
= $false )
| ( ( SV1335
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ( SV1335 @ SX0 ) ) )
= $true )
| ( ( SV1335
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ( SV1335 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6059]) ).
thf(6288,plain,
! [SV1338: b > $o] :
( ( ( ~ ( SV1338
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1338 @ SX0 ) ) ) )
= $false )
| ( ( SV1338
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ~ ( SV1338 @ SX0 ) ) )
= $false )
| ( ( SV1338
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ~ ( SV1338 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6062]) ).
thf(6289,plain,
! [SV1341: b > $o] :
( ( ( SV1341
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1341 @ SX0 ) ) )
= $true )
| ( ( SV1341
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1341 @ SX0 ) ) )
= $true )
| ( ( ~ ~ ( SV1341
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1341 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6063]) ).
thf(6292,plain,
! [SV1344: b > $o] :
( ( ( SV1344
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1344 @ SX0 ) ) )
= $false )
| ( ( ~ ( SV1344
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1344 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ( SV1344
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1344 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6066]) ).
thf(6294,plain,
! [SV280: b,SV1353: b > $o] :
( ( ( SV1353
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1353 @ SX0 ) ) )
= $true )
| ( ( SV1353 @ SV280 )
= $false )
| ( ( SV1353 @ SV280 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6070]) ).
thf(6295,plain,
! [SV280: b,SV1356: b > $o] :
( ( ( ~ ( SV1356
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1356 @ SX0 ) ) ) )
= $true )
| ( ( SV1356 @ SV280 )
= $true )
| ( ( SV1356 @ SV280 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6071]) ).
thf(6298,plain,
! [SV280: b,SV1359: b > $o] :
( ( ( SV1359 @ SV280 )
= $false )
| ( ( SV1359 @ SV280 )
= $false )
| ( ( ~ ~ ( SV1359
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1359 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6074]) ).
thf(6299,plain,
! [SV280: b,SV1362: b > $o] :
( ( ( SV1362 @ SV280 )
= $true )
| ( ( ~ ( SV1362 @ SV280 ) )
= $false )
| ( ( ~ ~ ( SV1362
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1362 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6075]) ).
thf(6302,plain,
! [SV281: b,SV1371: b > $o] :
( ( ( SV1371
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1371 @ SX0 ) ) )
= $true )
| ( ( SV1371 @ SV281 )
= $false )
| ( ( SV1371 @ SV281 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6080]) ).
thf(6303,plain,
! [SV281: b,SV1374: b > $o] :
( ( ( ~ ( SV1374
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1374 @ SX0 ) ) ) )
= $true )
| ( ( SV1374 @ SV281 )
= $true )
| ( ( SV1374 @ SV281 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6081]) ).
thf(6306,plain,
! [SV281: b,SV1377: b > $o] :
( ( ( SV1377 @ SV281 )
= $false )
| ( ( SV1377 @ SV281 )
= $false )
| ( ( ~ ~ ( SV1377
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1377 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6084]) ).
thf(6307,plain,
! [SV281: b,SV1380: b > $o] :
( ( ( SV1380 @ SV281 )
= $true )
| ( ( ~ ( SV1380 @ SV281 ) )
= $false )
| ( ( ~ ~ ( SV1380
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1380 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6085]) ).
thf(6310,plain,
! [SV282: b,SV1389: b > $o] :
( ( ( SV1389
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1389 @ SX0 ) ) )
= $true )
| ( ( SV1389 @ SV282 )
= $false )
| ( ( SV1389 @ SV282 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6090]) ).
thf(6311,plain,
! [SV282: b,SV1392: b > $o] :
( ( ( ~ ( SV1392
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1392 @ SX0 ) ) ) )
= $true )
| ( ( SV1392 @ SV282 )
= $true )
| ( ( SV1392 @ SV282 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6091]) ).
thf(6314,plain,
! [SV282: b,SV1395: b > $o] :
( ( ( SV1395 @ SV282 )
= $false )
| ( ( SV1395 @ SV282 )
= $false )
| ( ( ~ ~ ( SV1395
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1395 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6094]) ).
thf(6315,plain,
! [SV282: b,SV1398: b > $o] :
( ( ( SV1398 @ SV282 )
= $true )
| ( ( ~ ( SV1398 @ SV282 ) )
= $false )
| ( ( ~ ~ ( SV1398
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1398 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6095]) ).
thf(6318,plain,
! [SV283: b,SV1407: b > $o] :
( ( ( SV1407
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1407 @ SX0 ) ) )
= $true )
| ( ( SV1407 @ SV283 )
= $false )
| ( ( SV1407 @ SV283 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6100]) ).
thf(6319,plain,
! [SV283: b,SV1410: b > $o] :
( ( ( ~ ( SV1410
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1410 @ SX0 ) ) ) )
= $true )
| ( ( SV1410 @ SV283 )
= $true )
| ( ( SV1410 @ SV283 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6101]) ).
thf(6322,plain,
! [SV283: b,SV1413: b > $o] :
( ( ( SV1413 @ SV283 )
= $false )
| ( ( SV1413 @ SV283 )
= $false )
| ( ( ~ ~ ( SV1413
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1413 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6104]) ).
thf(6323,plain,
! [SV283: b,SV1416: b > $o] :
( ( ( SV1416 @ SV283 )
= $true )
| ( ( ~ ( SV1416 @ SV283 ) )
= $false )
| ( ( ~ ~ ( SV1416
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1416 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6105]) ).
thf(6326,plain,
! [SV176: b,SV1425: b > $o] :
( ( ( SV1425
@ ( sK5_SY206
@ ^ [SX0: b] :
~ ~ ( SV1425 @ SX0 ) ) )
= $true )
| ( ( SV1425 @ SV176 )
= $false )
| ( ( SV1425 @ SV176 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6110]) ).
thf(6327,plain,
! [SV176: b,SV1428: b > $o] :
( ( ( ~ ( SV1428
@ ( sK5_SY206
@ ^ [SX0: b] :
~ ~ ~ ( SV1428 @ SX0 ) ) ) )
= $true )
| ( ( SV1428 @ SV176 )
= $true )
| ( ( SV1428 @ SV176 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6111]) ).
thf(6330,plain,
! [SV176: b,SV1431: b > $o] :
( ( ( SV1431 @ SV176 )
= $false )
| ( ( SV1431 @ SV176 )
= $false )
| ( ( ~ ~ ( SV1431
@ ( sK5_SY206
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1431 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6114]) ).
thf(6331,plain,
! [SV176: b,SV1434: b > $o] :
( ( ( SV1434 @ SV176 )
= $true )
| ( ( ~ ( SV1434 @ SV176 ) )
= $false )
| ( ( ~ ~ ( SV1434
@ ( sK5_SY206
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1434 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6115]) ).
thf(6334,plain,
! [SV177: b,SV1443: b > $o] :
( ( ( SV1443
@ ( sK6_SY207
@ ^ [SX0: b] :
~ ~ ( SV1443 @ SX0 ) ) )
= $true )
| ( ( SV1443 @ SV177 )
= $false )
| ( ( SV1443 @ SV177 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6120]) ).
thf(6335,plain,
! [SV177: b,SV1446: b > $o] :
( ( ( ~ ( SV1446
@ ( sK6_SY207
@ ^ [SX0: b] :
~ ~ ~ ( SV1446 @ SX0 ) ) ) )
= $true )
| ( ( SV1446 @ SV177 )
= $true )
| ( ( SV1446 @ SV177 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6121]) ).
thf(6338,plain,
! [SV177: b,SV1449: b > $o] :
( ( ( SV1449 @ SV177 )
= $false )
| ( ( SV1449 @ SV177 )
= $false )
| ( ( ~ ~ ( SV1449
@ ( sK6_SY207
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1449 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6124]) ).
thf(6339,plain,
! [SV177: b,SV1452: b > $o] :
( ( ( SV1452 @ SV177 )
= $true )
| ( ( ~ ( SV1452 @ SV177 ) )
= $false )
| ( ( ~ ~ ( SV1452
@ ( sK6_SY207
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1452 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6125]) ).
thf(6342,plain,
! [SV284: b,SV1461: b > $o] :
( ( ( SV1461
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1461 @ SX0 ) ) )
= $true )
| ( ( SV1461 @ SV284 )
= $false )
| ( ( SV1461 @ SV284 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6130]) ).
thf(6343,plain,
! [SV284: b,SV1464: b > $o] :
( ( ( ~ ( SV1464
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1464 @ SX0 ) ) ) )
= $true )
| ( ( SV1464 @ SV284 )
= $true )
| ( ( SV1464 @ SV284 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6131]) ).
thf(6346,plain,
! [SV284: b,SV1467: b > $o] :
( ( ( SV1467 @ SV284 )
= $false )
| ( ( SV1467 @ SV284 )
= $false )
| ( ( ~ ~ ( SV1467
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1467 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6134]) ).
thf(6347,plain,
! [SV284: b,SV1470: b > $o] :
( ( ( SV1470 @ SV284 )
= $true )
| ( ( ~ ( SV1470 @ SV284 ) )
= $false )
| ( ( ~ ~ ( SV1470
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1470 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6135]) ).
thf(6350,plain,
! [SV285: b,SV1479: b > $o] :
( ( ( SV1479
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1479 @ SX0 ) ) )
= $true )
| ( ( SV1479 @ SV285 )
= $false )
| ( ( SV1479 @ SV285 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6140]) ).
thf(6351,plain,
! [SV285: b,SV1482: b > $o] :
( ( ( ~ ( SV1482
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1482 @ SX0 ) ) ) )
= $true )
| ( ( SV1482 @ SV285 )
= $true )
| ( ( SV1482 @ SV285 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6141]) ).
thf(6354,plain,
! [SV285: b,SV1485: b > $o] :
( ( ( SV1485 @ SV285 )
= $false )
| ( ( SV1485 @ SV285 )
= $false )
| ( ( ~ ~ ( SV1485
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1485 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6144]) ).
thf(6355,plain,
! [SV285: b,SV1488: b > $o] :
( ( ( SV1488 @ SV285 )
= $true )
| ( ( ~ ( SV1488 @ SV285 ) )
= $false )
| ( ( ~ ~ ( SV1488
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1488 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6145]) ).
thf(6358,plain,
! [SV286: b,SV1497: b > $o] :
( ( ( SV1497
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1497 @ SX0 ) ) )
= $true )
| ( ( SV1497 @ SV286 )
= $false )
| ( ( SV1497 @ SV286 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6150]) ).
thf(6359,plain,
! [SV286: b,SV1500: b > $o] :
( ( ( ~ ( SV1500
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1500 @ SX0 ) ) ) )
= $true )
| ( ( SV1500 @ SV286 )
= $true )
| ( ( SV1500 @ SV286 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6151]) ).
thf(6362,plain,
! [SV286: b,SV1503: b > $o] :
( ( ( SV1503 @ SV286 )
= $false )
| ( ( SV1503 @ SV286 )
= $false )
| ( ( ~ ~ ( SV1503
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1503 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6154]) ).
thf(6363,plain,
! [SV286: b,SV1506: b > $o] :
( ( ( SV1506 @ SV286 )
= $true )
| ( ( ~ ( SV1506 @ SV286 ) )
= $false )
| ( ( ~ ~ ( SV1506
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1506 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6155]) ).
thf(6365,plain,
! [SV260: b,SV350: b > $o] :
( ( ( SV350
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV350 @ SX0 ) ) )
= $false )
| ( ( SV350 @ SV260 )
= $true )
| ( ( SV350 @ SV260 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6159]) ).
thf(6368,plain,
! [SV260: b,SV353: b > $o] :
( ( ( ~ ( SV353
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV353 @ SX0 ) ) ) )
= $false )
| ( ( SV353 @ SV260 )
= $false )
| ( ( SV353 @ SV260 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6162]) ).
thf(6369,plain,
! [SV260: b,SV356: b > $o] :
( ( ( SV356 @ SV260 )
= $true )
| ( ( SV356 @ SV260 )
= $true )
| ( ( ~ ~ ( SV356
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV356 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6163]) ).
thf(6371,plain,
! [SV265: b,SV368: b > $o] :
( ( ( SV368
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV368 @ SX0 ) ) )
= $false )
| ( ( SV368 @ SV265 )
= $true )
| ( ( SV368 @ SV265 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6167]) ).
thf(6374,plain,
! [SV265: b,SV371: b > $o] :
( ( ( ~ ( SV371
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV371 @ SX0 ) ) ) )
= $false )
| ( ( SV371 @ SV265 )
= $false )
| ( ( SV371 @ SV265 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6170]) ).
thf(6375,plain,
! [SV265: b,SV374: b > $o] :
( ( ( SV374 @ SV265 )
= $true )
| ( ( SV374 @ SV265 )
= $true )
| ( ( ~ ~ ( SV374
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV374 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6171]) ).
thf(6377,plain,
! [SV266: b,SV386: b > $o] :
( ( ( SV386
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV386 @ SX0 ) ) )
= $false )
| ( ( SV386 @ SV266 )
= $true )
| ( ( SV386 @ SV266 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6175]) ).
thf(6380,plain,
! [SV266: b,SV389: b > $o] :
( ( ( ~ ( SV389
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV389 @ SX0 ) ) ) )
= $false )
| ( ( SV389 @ SV266 )
= $false )
| ( ( SV389 @ SV266 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6178]) ).
thf(6381,plain,
! [SV266: b,SV392: b > $o] :
( ( ( SV392 @ SV266 )
= $true )
| ( ( SV392 @ SV266 )
= $true )
| ( ( ~ ~ ( SV392
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV392 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6179]) ).
thf(6383,plain,
! [SV99: b,SV486: b > set_b,SV485: b > b,SV454: b > b > $o] :
( ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV454
@ ( sK52_E
@ ^ [SX1: b] : ( insert_b @ ( SV485 @ SX1 ) @ ( SV486 @ SX1 ) )
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( SV454 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( insert_b
@ ( SV485
@ ( sK52_E
@ ^ [SX0: b] : ( insert_b @ ( SV485 @ SX0 ) @ ( SV486 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV454 @ SX0 @ SX1 ) ) )
@ ( SV486
@ ( sK52_E
@ ^ [SX0: b] : ( insert_b @ ( SV485 @ SX0 ) @ ( SV486 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV454 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( SV99
= ( sK52_E
@ ^ [SX0: b] : ( insert_b @ ( SV485 @ SX0 ) @ ( SV486 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV454 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV454 @ SV99 @ SX0 ) )
= ( insert_b @ ( SV485 @ SV99 ) @ ( SV486 @ SV99 ) ) )
= $true )
| ( ( ( insert_b @ ( SV485 @ SV99 ) @ ( SV486 @ SV99 ) )
= ( insert_b @ SV99 @ bot_bot_set_b ) )
= $false )
| ( ( SV454 @ SV99
@ ( sK52_E
@ ^ [SX0: b] : ( insert_b @ ( SV485 @ SX0 ) @ ( SV486 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV454 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6181]) ).
thf(6384,plain,
! [SV99: b,SV482: b > set_b,SV481: b > b,SV454: b > b > $o] :
( ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV454
@ ( sK52_E
@ ^ [SX1: b] : ( insert_b @ ( SV481 @ SX1 ) @ ( SV482 @ SX1 ) )
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( SV454 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( insert_b
@ ( SV481
@ ( sK52_E
@ ^ [SX0: b] : ( insert_b @ ( SV481 @ SX0 ) @ ( SV482 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV454 @ SX0 @ SX1 ) ) )
@ ( SV482
@ ( sK52_E
@ ^ [SX0: b] : ( insert_b @ ( SV481 @ SX0 ) @ ( SV482 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV454 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV454 @ SV99 @ SX0 ) )
= ( insert_b @ ( SV481 @ SV99 ) @ ( SV482 @ SV99 ) ) )
= $true )
| ( ( ( insert_b @ ( SV481 @ SV99 ) @ ( SV482 @ SV99 ) )
= ( insert_b @ SV99 @ bot_bot_set_b ) )
= $false )
| ( ( SV454 @ SV99
@ ( sK52_E
@ ^ [SX0: b] : ( insert_b @ ( SV481 @ SX0 ) @ ( SV482 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV454 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6183]) ).
thf(6385,plain,
! [SV410: b > b > $o,SV99: b,SV442: b > set_b,SV441: b > b] :
( ( ( ( insert_b
@ ( SV441
@ ( sK51_E
@ ^ [SX0: b] : ( insert_b @ ( SV441 @ SX0 ) @ ( SV442 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV410 @ SX0 @ SX1 ) ) )
@ ( SV442
@ ( sK51_E
@ ^ [SX0: b] : ( insert_b @ ( SV441 @ SX0 ) @ ( SV442 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV410 @ SX0 @ SX1 ) ) ) )
!= ( collect_b
@ ^ [SX0: b] :
~ ( SV410
@ ( sK51_E
@ ^ [SX1: b] : ( insert_b @ ( SV441 @ SX1 ) @ ( SV442 @ SX1 ) )
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( SV410 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $false )
| ( ( SV99
= ( sK51_E
@ ^ [SX0: b] : ( insert_b @ ( SV441 @ SX0 ) @ ( SV442 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV410 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( insert_b @ ( SV441 @ SV99 ) @ ( SV442 @ SV99 ) )
= ( collect_b
@ ^ [SX0: b] :
~ ( SV410 @ SV99 @ SX0 ) ) )
= $true )
| ( ( ( insert_b @ ( SV441 @ SV99 ) @ ( SV442 @ SV99 ) )
= ( insert_b @ SV99 @ bot_bot_set_b ) )
= $false )
| ( ( SV410 @ SV99
@ ( sK51_E
@ ^ [SX0: b] : ( insert_b @ ( SV441 @ SX0 ) @ ( SV442 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV410 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6184]) ).
thf(6386,plain,
! [SV410: b > b > $o,SV99: b,SV438: b > set_b,SV437: b > b] :
( ( ( ( insert_b
@ ( SV437
@ ( sK51_E
@ ^ [SX0: b] : ( insert_b @ ( SV437 @ SX0 ) @ ( SV438 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV410 @ SX0 @ SX1 ) ) )
@ ( SV438
@ ( sK51_E
@ ^ [SX0: b] : ( insert_b @ ( SV437 @ SX0 ) @ ( SV438 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV410 @ SX0 @ SX1 ) ) ) )
= ( collect_b
@ ^ [SX0: b] :
~ ( SV410
@ ( sK51_E
@ ^ [SX1: b] : ( insert_b @ ( SV437 @ SX1 ) @ ( SV438 @ SX1 ) )
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( SV410 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $false )
| ( ( ( insert_b @ ( SV437 @ SV99 ) @ ( SV438 @ SV99 ) )
= ( collect_b
@ ^ [SX0: b] :
~ ( SV410 @ SV99 @ SX0 ) ) )
= $true )
| ( ( ( insert_b @ ( SV437 @ SV99 ) @ ( SV438 @ SV99 ) )
= ( insert_b @ SV99 @ bot_bot_set_b ) )
= $false )
| ( ( SV410 @ SV99
@ ( sK51_E
@ ^ [SX0: b] : ( insert_b @ ( SV437 @ SX0 ) @ ( SV438 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV410 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6186]) ).
thf(6387,plain,
! [SV124: b,SV581: b > set_b,SV580: b > b,SV549: b > b > $o] :
( ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV549
@ ( sK54_E
@ ^ [SX1: b] : ( insert_b @ ( SV580 @ SX1 ) @ ( SV581 @ SX1 ) )
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( SV549 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( insert_b
@ ( SV580
@ ( sK54_E
@ ^ [SX0: b] : ( insert_b @ ( SV580 @ SX0 ) @ ( SV581 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV549 @ SX0 @ SX1 ) ) )
@ ( SV581
@ ( sK54_E
@ ^ [SX0: b] : ( insert_b @ ( SV580 @ SX0 ) @ ( SV581 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV549 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( sK54_E
@ ^ [SX0: b] : ( insert_b @ ( SV580 @ SX0 ) @ ( SV581 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV549 @ SX0 @ SX1 ) )
= SV124 )
= $false )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV549 @ SV124 @ SX0 ) )
= ( insert_b @ ( SV580 @ SV124 ) @ ( SV581 @ SV124 ) ) )
= $true )
| ( ( ( insert_b @ ( SV580 @ SV124 ) @ ( SV581 @ SV124 ) )
= ( insert_b @ SV124 @ bot_bot_set_b ) )
= $false )
| ( ( SV549 @ SV124
@ ( sK54_E
@ ^ [SX0: b] : ( insert_b @ ( SV580 @ SX0 ) @ ( SV581 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV549 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6187]) ).
thf(6388,plain,
! [SV124: b,SV577: b > set_b,SV576: b > b,SV549: b > b > $o] :
( ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV549
@ ( sK54_E
@ ^ [SX1: b] : ( insert_b @ ( SV576 @ SX1 ) @ ( SV577 @ SX1 ) )
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( SV549 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( insert_b
@ ( SV576
@ ( sK54_E
@ ^ [SX0: b] : ( insert_b @ ( SV576 @ SX0 ) @ ( SV577 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV549 @ SX0 @ SX1 ) ) )
@ ( SV577
@ ( sK54_E
@ ^ [SX0: b] : ( insert_b @ ( SV576 @ SX0 ) @ ( SV577 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV549 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV549 @ SV124 @ SX0 ) )
= ( insert_b @ ( SV576 @ SV124 ) @ ( SV577 @ SV124 ) ) )
= $true )
| ( ( ( insert_b @ ( SV576 @ SV124 ) @ ( SV577 @ SV124 ) )
= ( insert_b @ SV124 @ bot_bot_set_b ) )
= $false )
| ( ( SV549 @ SV124
@ ( sK54_E
@ ^ [SX0: b] : ( insert_b @ ( SV576 @ SX0 ) @ ( SV577 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV549 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6189]) ).
thf(6389,plain,
! [SV505: b > b > $o,SV124: b,SV537: b > set_b,SV536: b > b] :
( ( ( ( insert_b
@ ( SV536
@ ( sK53_E
@ ^ [SX0: b] : ( insert_b @ ( SV536 @ SX0 ) @ ( SV537 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV505 @ SX0 @ SX1 ) ) )
@ ( SV537
@ ( sK53_E
@ ^ [SX0: b] : ( insert_b @ ( SV536 @ SX0 ) @ ( SV537 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV505 @ SX0 @ SX1 ) ) ) )
!= ( collect_b
@ ^ [SX0: b] :
~ ( SV505
@ ( sK53_E
@ ^ [SX1: b] : ( insert_b @ ( SV536 @ SX1 ) @ ( SV537 @ SX1 ) )
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( SV505 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK53_E
@ ^ [SX0: b] : ( insert_b @ ( SV536 @ SX0 ) @ ( SV537 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV505 @ SX0 @ SX1 ) )
= SV124 )
= $false )
| ( ( ( insert_b @ ( SV536 @ SV124 ) @ ( SV537 @ SV124 ) )
= ( collect_b
@ ^ [SX0: b] :
~ ( SV505 @ SV124 @ SX0 ) ) )
= $true )
| ( ( ( insert_b @ ( SV536 @ SV124 ) @ ( SV537 @ SV124 ) )
= ( insert_b @ SV124 @ bot_bot_set_b ) )
= $false )
| ( ( SV505 @ SV124
@ ( sK53_E
@ ^ [SX0: b] : ( insert_b @ ( SV536 @ SX0 ) @ ( SV537 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV505 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6190]) ).
thf(6390,plain,
! [SV505: b > b > $o,SV124: b,SV533: b > set_b,SV532: b > b] :
( ( ( ( insert_b
@ ( SV532
@ ( sK53_E
@ ^ [SX0: b] : ( insert_b @ ( SV532 @ SX0 ) @ ( SV533 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV505 @ SX0 @ SX1 ) ) )
@ ( SV533
@ ( sK53_E
@ ^ [SX0: b] : ( insert_b @ ( SV532 @ SX0 ) @ ( SV533 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV505 @ SX0 @ SX1 ) ) ) )
= ( collect_b
@ ^ [SX0: b] :
~ ( SV505
@ ( sK53_E
@ ^ [SX1: b] : ( insert_b @ ( SV532 @ SX1 ) @ ( SV533 @ SX1 ) )
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( SV505 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $false )
| ( ( ( insert_b @ ( SV532 @ SV124 ) @ ( SV533 @ SV124 ) )
= ( collect_b
@ ^ [SX0: b] :
~ ( SV505 @ SV124 @ SX0 ) ) )
= $true )
| ( ( ( insert_b @ ( SV532 @ SV124 ) @ ( SV533 @ SV124 ) )
= ( insert_b @ SV124 @ bot_bot_set_b ) )
= $false )
| ( ( SV505 @ SV124
@ ( sK53_E
@ ^ [SX0: b] : ( insert_b @ ( SV532 @ SX0 ) @ ( SV533 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV505 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6192]) ).
thf(6391,plain,
! [SV267: b,SV594: b > $o] :
( ( ( SV594
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV594 @ SX0 ) ) )
= $false )
| ( ( SV594 @ SV267 )
= $true )
| ( ( SV594 @ SV267 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6195]) ).
thf(6394,plain,
! [SV267: b,SV597: b > $o] :
( ( ( ~ ( SV597
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV597 @ SX0 ) ) ) )
= $false )
| ( ( SV597 @ SV267 )
= $false )
| ( ( SV597 @ SV267 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6198]) ).
thf(6395,plain,
! [SV267: b,SV600: b > $o] :
( ( ( SV600 @ SV267 )
= $true )
| ( ( SV600 @ SV267 )
= $true )
| ( ( ~ ~ ( SV600
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV600 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6199]) ).
thf(6403,plain,
! [SV268: b,SV766: b > $o] :
( ( ( SV766
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV766 @ SX0 ) ) )
= $false )
| ( ( SV766 @ SV268 )
= $true )
| ( ( SV766 @ SV268 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6213]) ).
thf(6406,plain,
! [SV268: b,SV769: b > $o] :
( ( ( ~ ( SV769
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV769 @ SX0 ) ) ) )
= $false )
| ( ( SV769 @ SV268 )
= $false )
| ( ( SV769 @ SV268 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6216]) ).
thf(6407,plain,
! [SV268: b,SV772: b > $o] :
( ( ( SV772 @ SV268 )
= $true )
| ( ( SV772 @ SV268 )
= $true )
| ( ( ~ ~ ( SV772
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV772 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6217]) ).
thf(6415,plain,
! [SV269: b,SV802: b > $o] :
( ( ( SV802
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV802 @ SX0 ) ) )
= $false )
| ( ( SV802 @ SV269 )
= $true )
| ( ( SV802 @ SV269 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6229]) ).
thf(6418,plain,
! [SV269: b,SV805: b > $o] :
( ( ( ~ ( SV805
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV805 @ SX0 ) ) ) )
= $false )
| ( ( SV805 @ SV269 )
= $false )
| ( ( SV805 @ SV269 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6232]) ).
thf(6419,plain,
! [SV269: b,SV808: b > $o] :
( ( ( SV808 @ SV269 )
= $true )
| ( ( SV808 @ SV269 )
= $true )
| ( ( ~ ~ ( SV808
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV808 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6233]) ).
thf(6421,plain,
! [SV270: b,SV820: b > $o] :
( ( ( SV820
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV820 @ SX0 ) ) )
= $false )
| ( ( SV820 @ SV270 )
= $true )
| ( ( SV820 @ SV270 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6237]) ).
thf(6424,plain,
! [SV270: b,SV823: b > $o] :
( ( ( ~ ( SV823
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV823 @ SX0 ) ) ) )
= $false )
| ( ( SV823 @ SV270 )
= $false )
| ( ( SV823 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6240]) ).
thf(6425,plain,
! [SV270: b,SV826: b > $o] :
( ( ( SV826 @ SV270 )
= $true )
| ( ( SV826 @ SV270 )
= $true )
| ( ( ~ ~ ( SV826
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV826 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6241]) ).
thf(6427,plain,
! [SV273: b,SV988: b > $o] :
( ( ( SV988
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV988 @ SX0 ) ) )
= $false )
| ( ( SV988 @ SV273 )
= $true )
| ( ( SV988 @ SV273 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6247]) ).
thf(6430,plain,
! [SV273: b,SV991: b > $o] :
( ( ( ~ ( SV991
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV991 @ SX0 ) ) ) )
= $false )
| ( ( SV991 @ SV273 )
= $false )
| ( ( SV991 @ SV273 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6250]) ).
thf(6431,plain,
! [SV273: b,SV994: b > $o] :
( ( ( SV994 @ SV273 )
= $true )
| ( ( SV994 @ SV273 )
= $true )
| ( ( ~ ~ ( SV994
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV994 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6251]) ).
thf(6433,plain,
! [SV274: b,SV1006: b > $o] :
( ( ( SV1006
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1006 @ SX0 ) ) )
= $false )
| ( ( SV1006 @ SV274 )
= $true )
| ( ( SV1006 @ SV274 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6255]) ).
thf(6436,plain,
! [SV274: b,SV1009: b > $o] :
( ( ( ~ ( SV1009
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1009 @ SX0 ) ) ) )
= $false )
| ( ( SV1009 @ SV274 )
= $false )
| ( ( SV1009 @ SV274 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6258]) ).
thf(6437,plain,
! [SV274: b,SV1012: b > $o] :
( ( ( SV1012 @ SV274 )
= $true )
| ( ( SV1012 @ SV274 )
= $true )
| ( ( ~ ~ ( SV1012
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1012 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6259]) ).
thf(6439,plain,
! [SV277: b,SV1024: b > $o] :
( ( ( SV1024
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1024 @ SX0 ) ) )
= $false )
| ( ( SV1024 @ SV277 )
= $true )
| ( ( SV1024 @ SV277 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6263]) ).
thf(6442,plain,
! [SV277: b,SV1027: b > $o] :
( ( ( ~ ( SV1027
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1027 @ SX0 ) ) ) )
= $false )
| ( ( SV1027 @ SV277 )
= $false )
| ( ( SV1027 @ SV277 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6266]) ).
thf(6443,plain,
! [SV277: b,SV1030: b > $o] :
( ( ( SV1030 @ SV277 )
= $true )
| ( ( SV1030 @ SV277 )
= $true )
| ( ( ~ ~ ( SV1030
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1030 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6267]) ).
thf(6445,plain,
! [SV278: b,SV1042: b > $o] :
( ( ( SV1042
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1042 @ SX0 ) ) )
= $false )
| ( ( SV1042 @ SV278 )
= $true )
| ( ( SV1042 @ SV278 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6271]) ).
thf(6448,plain,
! [SV278: b,SV1045: b > $o] :
( ( ( ~ ( SV1045
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1045 @ SX0 ) ) ) )
= $false )
| ( ( SV1045 @ SV278 )
= $false )
| ( ( SV1045 @ SV278 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6274]) ).
thf(6449,plain,
! [SV278: b,SV1048: b > $o] :
( ( ( SV1048 @ SV278 )
= $true )
| ( ( SV1048 @ SV278 )
= $true )
| ( ( ~ ~ ( SV1048
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1048 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6275]) ).
thf(6451,plain,
! [SV279: b,SV1320: b > $o] :
( ( ( SV1320
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1320 @ SX0 ) ) )
= $false )
| ( ( SV1320 @ SV279 )
= $true )
| ( ( SV1320 @ SV279 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6279]) ).
thf(6454,plain,
! [SV279: b,SV1323: b > $o] :
( ( ( ~ ( SV1323
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1323 @ SX0 ) ) ) )
= $false )
| ( ( SV1323 @ SV279 )
= $false )
| ( ( SV1323 @ SV279 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6282]) ).
thf(6455,plain,
! [SV279: b,SV1326: b > $o] :
( ( ( SV1326 @ SV279 )
= $true )
| ( ( SV1326 @ SV279 )
= $true )
| ( ( ~ ~ ( SV1326
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1326 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6283]) ).
thf(6458,plain,
! [SV1338: b > $o] :
( ( ( SV1338
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1338 @ SX0 ) ) )
= $true )
| ( ( SV1338
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ~ ( SV1338 @ SX0 ) ) )
= $false )
| ( ( SV1338
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ~ ( SV1338 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6288]) ).
thf(6459,plain,
! [SV1341: b > $o] :
( ( ( ~ ( SV1341
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1341 @ SX0 ) ) ) )
= $true )
| ( ( SV1341
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1341 @ SX0 ) ) )
= $true )
| ( ( SV1341
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1341 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6289]) ).
thf(6462,plain,
! [SV1344: b > $o] :
( ( ( SV1344
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1344 @ SX0 ) ) )
= $false )
| ( ( SV1344
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1344 @ SX0 ) ) )
= $false )
| ( ( ~ ~ ( SV1344
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1344 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6292]) ).
thf(6463,plain,
! [SV280: b,SV1356: b > $o] :
( ( ( SV1356
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1356 @ SX0 ) ) )
= $false )
| ( ( SV1356 @ SV280 )
= $true )
| ( ( SV1356 @ SV280 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6295]) ).
thf(6466,plain,
! [SV280: b,SV1359: b > $o] :
( ( ( ~ ( SV1359
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1359 @ SX0 ) ) ) )
= $false )
| ( ( SV1359 @ SV280 )
= $false )
| ( ( SV1359 @ SV280 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6298]) ).
thf(6467,plain,
! [SV280: b,SV1362: b > $o] :
( ( ( SV1362 @ SV280 )
= $true )
| ( ( SV1362 @ SV280 )
= $true )
| ( ( ~ ~ ( SV1362
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1362 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6299]) ).
thf(6469,plain,
! [SV281: b,SV1374: b > $o] :
( ( ( SV1374
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1374 @ SX0 ) ) )
= $false )
| ( ( SV1374 @ SV281 )
= $true )
| ( ( SV1374 @ SV281 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6303]) ).
thf(6472,plain,
! [SV281: b,SV1377: b > $o] :
( ( ( ~ ( SV1377
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1377 @ SX0 ) ) ) )
= $false )
| ( ( SV1377 @ SV281 )
= $false )
| ( ( SV1377 @ SV281 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6306]) ).
thf(6473,plain,
! [SV281: b,SV1380: b > $o] :
( ( ( SV1380 @ SV281 )
= $true )
| ( ( SV1380 @ SV281 )
= $true )
| ( ( ~ ~ ( SV1380
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1380 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6307]) ).
thf(6475,plain,
! [SV282: b,SV1392: b > $o] :
( ( ( SV1392
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1392 @ SX0 ) ) )
= $false )
| ( ( SV1392 @ SV282 )
= $true )
| ( ( SV1392 @ SV282 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6311]) ).
thf(6478,plain,
! [SV282: b,SV1395: b > $o] :
( ( ( ~ ( SV1395
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1395 @ SX0 ) ) ) )
= $false )
| ( ( SV1395 @ SV282 )
= $false )
| ( ( SV1395 @ SV282 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6314]) ).
thf(6479,plain,
! [SV282: b,SV1398: b > $o] :
( ( ( SV1398 @ SV282 )
= $true )
| ( ( SV1398 @ SV282 )
= $true )
| ( ( ~ ~ ( SV1398
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1398 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6315]) ).
thf(6481,plain,
! [SV283: b,SV1410: b > $o] :
( ( ( SV1410
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1410 @ SX0 ) ) )
= $false )
| ( ( SV1410 @ SV283 )
= $true )
| ( ( SV1410 @ SV283 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6319]) ).
thf(6484,plain,
! [SV283: b,SV1413: b > $o] :
( ( ( ~ ( SV1413
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1413 @ SX0 ) ) ) )
= $false )
| ( ( SV1413 @ SV283 )
= $false )
| ( ( SV1413 @ SV283 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6322]) ).
thf(6485,plain,
! [SV283: b,SV1416: b > $o] :
( ( ( SV1416 @ SV283 )
= $true )
| ( ( SV1416 @ SV283 )
= $true )
| ( ( ~ ~ ( SV1416
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1416 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6323]) ).
thf(6487,plain,
! [SV176: b,SV1428: b > $o] :
( ( ( SV1428
@ ( sK5_SY206
@ ^ [SX0: b] :
~ ~ ~ ( SV1428 @ SX0 ) ) )
= $false )
| ( ( SV1428 @ SV176 )
= $true )
| ( ( SV1428 @ SV176 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6327]) ).
thf(6490,plain,
! [SV176: b,SV1431: b > $o] :
( ( ( ~ ( SV1431
@ ( sK5_SY206
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1431 @ SX0 ) ) ) )
= $false )
| ( ( SV1431 @ SV176 )
= $false )
| ( ( SV1431 @ SV176 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6330]) ).
thf(6491,plain,
! [SV176: b,SV1434: b > $o] :
( ( ( SV1434 @ SV176 )
= $true )
| ( ( SV1434 @ SV176 )
= $true )
| ( ( ~ ~ ( SV1434
@ ( sK5_SY206
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1434 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6331]) ).
thf(6493,plain,
! [SV177: b,SV1446: b > $o] :
( ( ( SV1446
@ ( sK6_SY207
@ ^ [SX0: b] :
~ ~ ~ ( SV1446 @ SX0 ) ) )
= $false )
| ( ( SV1446 @ SV177 )
= $true )
| ( ( SV1446 @ SV177 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6335]) ).
thf(6496,plain,
! [SV177: b,SV1449: b > $o] :
( ( ( ~ ( SV1449
@ ( sK6_SY207
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1449 @ SX0 ) ) ) )
= $false )
| ( ( SV1449 @ SV177 )
= $false )
| ( ( SV1449 @ SV177 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6338]) ).
thf(6497,plain,
! [SV177: b,SV1452: b > $o] :
( ( ( SV1452 @ SV177 )
= $true )
| ( ( SV1452 @ SV177 )
= $true )
| ( ( ~ ~ ( SV1452
@ ( sK6_SY207
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1452 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6339]) ).
thf(6499,plain,
! [SV284: b,SV1464: b > $o] :
( ( ( SV1464
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1464 @ SX0 ) ) )
= $false )
| ( ( SV1464 @ SV284 )
= $true )
| ( ( SV1464 @ SV284 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6343]) ).
thf(6502,plain,
! [SV284: b,SV1467: b > $o] :
( ( ( ~ ( SV1467
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1467 @ SX0 ) ) ) )
= $false )
| ( ( SV1467 @ SV284 )
= $false )
| ( ( SV1467 @ SV284 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6346]) ).
thf(6503,plain,
! [SV284: b,SV1470: b > $o] :
( ( ( SV1470 @ SV284 )
= $true )
| ( ( SV1470 @ SV284 )
= $true )
| ( ( ~ ~ ( SV1470
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1470 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6347]) ).
thf(6505,plain,
! [SV285: b,SV1482: b > $o] :
( ( ( SV1482
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1482 @ SX0 ) ) )
= $false )
| ( ( SV1482 @ SV285 )
= $true )
| ( ( SV1482 @ SV285 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6351]) ).
thf(6508,plain,
! [SV285: b,SV1485: b > $o] :
( ( ( ~ ( SV1485
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1485 @ SX0 ) ) ) )
= $false )
| ( ( SV1485 @ SV285 )
= $false )
| ( ( SV1485 @ SV285 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6354]) ).
thf(6509,plain,
! [SV285: b,SV1488: b > $o] :
( ( ( SV1488 @ SV285 )
= $true )
| ( ( SV1488 @ SV285 )
= $true )
| ( ( ~ ~ ( SV1488
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1488 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6355]) ).
thf(6511,plain,
! [SV286: b,SV1500: b > $o] :
( ( ( SV1500
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1500 @ SX0 ) ) )
= $false )
| ( ( SV1500 @ SV286 )
= $true )
| ( ( SV1500 @ SV286 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6359]) ).
thf(6514,plain,
! [SV286: b,SV1503: b > $o] :
( ( ( ~ ( SV1503
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1503 @ SX0 ) ) ) )
= $false )
| ( ( SV1503 @ SV286 )
= $false )
| ( ( SV1503 @ SV286 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6362]) ).
thf(6515,plain,
! [SV286: b,SV1506: b > $o] :
( ( ( SV1506 @ SV286 )
= $true )
| ( ( SV1506 @ SV286 )
= $true )
| ( ( ~ ~ ( SV1506
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1506 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6363]) ).
thf(6518,plain,
! [SV260: b,SV353: b > $o] :
( ( ( SV353
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV353 @ SX0 ) ) )
= $true )
| ( ( SV353 @ SV260 )
= $false )
| ( ( SV353 @ SV260 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6368]) ).
thf(6519,plain,
! [SV260: b,SV356: b > $o] :
( ( ( ~ ( SV356
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV356 @ SX0 ) ) ) )
= $true )
| ( ( SV356 @ SV260 )
= $true )
| ( ( SV356 @ SV260 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6369]) ).
thf(6522,plain,
! [SV265: b,SV371: b > $o] :
( ( ( SV371
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV371 @ SX0 ) ) )
= $true )
| ( ( SV371 @ SV265 )
= $false )
| ( ( SV371 @ SV265 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6374]) ).
thf(6523,plain,
! [SV265: b,SV374: b > $o] :
( ( ( ~ ( SV374
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV374 @ SX0 ) ) ) )
= $true )
| ( ( SV374 @ SV265 )
= $true )
| ( ( SV374 @ SV265 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6375]) ).
thf(6526,plain,
! [SV266: b,SV389: b > $o] :
( ( ( SV389
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV389 @ SX0 ) ) )
= $true )
| ( ( SV389 @ SV266 )
= $false )
| ( ( SV389 @ SV266 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6380]) ).
thf(6527,plain,
! [SV266: b,SV392: b > $o] :
( ( ( ~ ( SV392
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV392 @ SX0 ) ) ) )
= $true )
| ( ( SV392 @ SV266 )
= $true )
| ( ( SV392 @ SV266 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6381]) ).
thf(6529,plain,
! [SV99: b,SV486: b > set_b,SV485: b > b,SV454: b > b > $o] :
( ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV454
@ ( sK52_E
@ ^ [SX1: b] : ( insert_b @ ( SV485 @ SX1 ) @ ( SV486 @ SX1 ) )
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( SV454 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( insert_b
@ ( SV485
@ ( sK52_E
@ ^ [SX0: b] : ( insert_b @ ( SV485 @ SX0 ) @ ( SV486 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV454 @ SX0 @ SX1 ) ) )
@ ( SV486
@ ( sK52_E
@ ^ [SX0: b] : ( insert_b @ ( SV485 @ SX0 ) @ ( SV486 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV454 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( SV99
= ( sK52_E
@ ^ [SX0: b] : ( insert_b @ ( SV485 @ SX0 ) @ ( SV486 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV454 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV454 @ SV99 @ SX0 ) )
= ( insert_b @ ( SV485 @ SV99 ) @ ( SV486 @ SV99 ) ) )
= $true )
| ( ( ( insert_b @ ( SV485 @ SV99 ) @ ( SV486 @ SV99 ) )
= ( insert_b @ SV99 @ bot_bot_set_b ) )
= $false )
| ( ( SV454 @ SV99
@ ( sK52_E
@ ^ [SX0: b] : ( insert_b @ ( SV485 @ SX0 ) @ ( SV486 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV454 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6383]) ).
thf(6530,plain,
! [SV410: b > b > $o,SV99: b,SV442: b > set_b,SV441: b > b] :
( ( ( ( insert_b
@ ( SV441
@ ( sK51_E
@ ^ [SX0: b] : ( insert_b @ ( SV441 @ SX0 ) @ ( SV442 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV410 @ SX0 @ SX1 ) ) )
@ ( SV442
@ ( sK51_E
@ ^ [SX0: b] : ( insert_b @ ( SV441 @ SX0 ) @ ( SV442 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV410 @ SX0 @ SX1 ) ) ) )
= ( collect_b
@ ^ [SX0: b] :
~ ( SV410
@ ( sK51_E
@ ^ [SX1: b] : ( insert_b @ ( SV441 @ SX1 ) @ ( SV442 @ SX1 ) )
@ SV99
@ ^ [SX1: b,SX2: b] :
~ ( SV410 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true )
| ( ( SV99
= ( sK51_E
@ ^ [SX0: b] : ( insert_b @ ( SV441 @ SX0 ) @ ( SV442 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV410 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( insert_b @ ( SV441 @ SV99 ) @ ( SV442 @ SV99 ) )
= ( collect_b
@ ^ [SX0: b] :
~ ( SV410 @ SV99 @ SX0 ) ) )
= $true )
| ( ( ( insert_b @ ( SV441 @ SV99 ) @ ( SV442 @ SV99 ) )
= ( insert_b @ SV99 @ bot_bot_set_b ) )
= $false )
| ( ( SV410 @ SV99
@ ( sK51_E
@ ^ [SX0: b] : ( insert_b @ ( SV441 @ SX0 ) @ ( SV442 @ SX0 ) )
@ SV99
@ ^ [SX0: b,SX1: b] :
~ ( SV410 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6385]) ).
thf(6531,plain,
! [SV124: b,SV581: b > set_b,SV580: b > b,SV549: b > b > $o] :
( ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV549
@ ( sK54_E
@ ^ [SX1: b] : ( insert_b @ ( SV580 @ SX1 ) @ ( SV581 @ SX1 ) )
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( SV549 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( insert_b
@ ( SV580
@ ( sK54_E
@ ^ [SX0: b] : ( insert_b @ ( SV580 @ SX0 ) @ ( SV581 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV549 @ SX0 @ SX1 ) ) )
@ ( SV581
@ ( sK54_E
@ ^ [SX0: b] : ( insert_b @ ( SV580 @ SX0 ) @ ( SV581 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV549 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK54_E
@ ^ [SX0: b] : ( insert_b @ ( SV580 @ SX0 ) @ ( SV581 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV549 @ SX0 @ SX1 ) )
= SV124 )
= $false )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( SV549 @ SV124 @ SX0 ) )
= ( insert_b @ ( SV580 @ SV124 ) @ ( SV581 @ SV124 ) ) )
= $true )
| ( ( ( insert_b @ ( SV580 @ SV124 ) @ ( SV581 @ SV124 ) )
= ( insert_b @ SV124 @ bot_bot_set_b ) )
= $false )
| ( ( SV549 @ SV124
@ ( sK54_E
@ ^ [SX0: b] : ( insert_b @ ( SV580 @ SX0 ) @ ( SV581 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV549 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6387]) ).
thf(6532,plain,
! [SV505: b > b > $o,SV124: b,SV537: b > set_b,SV536: b > b] :
( ( ( ( insert_b
@ ( SV536
@ ( sK53_E
@ ^ [SX0: b] : ( insert_b @ ( SV536 @ SX0 ) @ ( SV537 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV505 @ SX0 @ SX1 ) ) )
@ ( SV537
@ ( sK53_E
@ ^ [SX0: b] : ( insert_b @ ( SV536 @ SX0 ) @ ( SV537 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV505 @ SX0 @ SX1 ) ) ) )
= ( collect_b
@ ^ [SX0: b] :
~ ( SV505
@ ( sK53_E
@ ^ [SX1: b] : ( insert_b @ ( SV536 @ SX1 ) @ ( SV537 @ SX1 ) )
@ SV124
@ ^ [SX1: b,SX2: b] :
~ ( SV505 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true )
| ( ( ( sK53_E
@ ^ [SX0: b] : ( insert_b @ ( SV536 @ SX0 ) @ ( SV537 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV505 @ SX0 @ SX1 ) )
= SV124 )
= $false )
| ( ( ( insert_b @ ( SV536 @ SV124 ) @ ( SV537 @ SV124 ) )
= ( collect_b
@ ^ [SX0: b] :
~ ( SV505 @ SV124 @ SX0 ) ) )
= $true )
| ( ( ( insert_b @ ( SV536 @ SV124 ) @ ( SV537 @ SV124 ) )
= ( insert_b @ SV124 @ bot_bot_set_b ) )
= $false )
| ( ( SV505 @ SV124
@ ( sK53_E
@ ^ [SX0: b] : ( insert_b @ ( SV536 @ SX0 ) @ ( SV537 @ SX0 ) )
@ SV124
@ ^ [SX0: b,SX1: b] :
~ ( SV505 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6389]) ).
thf(6534,plain,
! [SV267: b,SV597: b > $o] :
( ( ( SV597
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV597 @ SX0 ) ) )
= $true )
| ( ( SV597 @ SV267 )
= $false )
| ( ( SV597 @ SV267 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6394]) ).
thf(6535,plain,
! [SV267: b,SV600: b > $o] :
( ( ( ~ ( SV600
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV600 @ SX0 ) ) ) )
= $true )
| ( ( SV600 @ SV267 )
= $true )
| ( ( SV600 @ SV267 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6395]) ).
thf(6542,plain,
! [SV268: b,SV769: b > $o] :
( ( ( SV769
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV769 @ SX0 ) ) )
= $true )
| ( ( SV769 @ SV268 )
= $false )
| ( ( SV769 @ SV268 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6406]) ).
thf(6543,plain,
! [SV268: b,SV772: b > $o] :
( ( ( ~ ( SV772
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV772 @ SX0 ) ) ) )
= $true )
| ( ( SV772 @ SV268 )
= $true )
| ( ( SV772 @ SV268 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6407]) ).
thf(6550,plain,
! [SV269: b,SV805: b > $o] :
( ( ( SV805
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV805 @ SX0 ) ) )
= $true )
| ( ( SV805 @ SV269 )
= $false )
| ( ( SV805 @ SV269 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6418]) ).
thf(6551,plain,
! [SV269: b,SV808: b > $o] :
( ( ( ~ ( SV808
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV808 @ SX0 ) ) ) )
= $true )
| ( ( SV808 @ SV269 )
= $true )
| ( ( SV808 @ SV269 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6419]) ).
thf(6554,plain,
! [SV270: b,SV823: b > $o] :
( ( ( SV823
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV823 @ SX0 ) ) )
= $true )
| ( ( SV823 @ SV270 )
= $false )
| ( ( SV823 @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6424]) ).
thf(6555,plain,
! [SV270: b,SV826: b > $o] :
( ( ( ~ ( SV826
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV826 @ SX0 ) ) ) )
= $true )
| ( ( SV826 @ SV270 )
= $true )
| ( ( SV826 @ SV270 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6425]) ).
thf(6558,plain,
! [SV273: b,SV991: b > $o] :
( ( ( SV991
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV991 @ SX0 ) ) )
= $true )
| ( ( SV991 @ SV273 )
= $false )
| ( ( SV991 @ SV273 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6430]) ).
thf(6559,plain,
! [SV273: b,SV994: b > $o] :
( ( ( ~ ( SV994
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV994 @ SX0 ) ) ) )
= $true )
| ( ( SV994 @ SV273 )
= $true )
| ( ( SV994 @ SV273 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6431]) ).
thf(6562,plain,
! [SV274: b,SV1009: b > $o] :
( ( ( SV1009
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1009 @ SX0 ) ) )
= $true )
| ( ( SV1009 @ SV274 )
= $false )
| ( ( SV1009 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6436]) ).
thf(6563,plain,
! [SV274: b,SV1012: b > $o] :
( ( ( ~ ( SV1012
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1012 @ SX0 ) ) ) )
= $true )
| ( ( SV1012 @ SV274 )
= $true )
| ( ( SV1012 @ SV274 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6437]) ).
thf(6566,plain,
! [SV277: b,SV1027: b > $o] :
( ( ( SV1027
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1027 @ SX0 ) ) )
= $true )
| ( ( SV1027 @ SV277 )
= $false )
| ( ( SV1027 @ SV277 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6442]) ).
thf(6567,plain,
! [SV277: b,SV1030: b > $o] :
( ( ( ~ ( SV1030
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1030 @ SX0 ) ) ) )
= $true )
| ( ( SV1030 @ SV277 )
= $true )
| ( ( SV1030 @ SV277 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6443]) ).
thf(6570,plain,
! [SV278: b,SV1045: b > $o] :
( ( ( SV1045
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1045 @ SX0 ) ) )
= $true )
| ( ( SV1045 @ SV278 )
= $false )
| ( ( SV1045 @ SV278 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6448]) ).
thf(6571,plain,
! [SV278: b,SV1048: b > $o] :
( ( ( ~ ( SV1048
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1048 @ SX0 ) ) ) )
= $true )
| ( ( SV1048 @ SV278 )
= $true )
| ( ( SV1048 @ SV278 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6449]) ).
thf(6574,plain,
! [SV279: b,SV1323: b > $o] :
( ( ( SV1323
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1323 @ SX0 ) ) )
= $true )
| ( ( SV1323 @ SV279 )
= $false )
| ( ( SV1323 @ SV279 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6454]) ).
thf(6575,plain,
! [SV279: b,SV1326: b > $o] :
( ( ( ~ ( SV1326
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1326 @ SX0 ) ) ) )
= $true )
| ( ( SV1326 @ SV279 )
= $true )
| ( ( SV1326 @ SV279 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6455]) ).
thf(6577,plain,
! [SV1341: b > $o] :
( ( ( SV1341
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1341 @ SX0 ) ) )
= $false )
| ( ( SV1341
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1341 @ SX0 ) ) )
= $true )
| ( ( SV1341
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1341 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6459]) ).
thf(6580,plain,
! [SV1344: b > $o] :
( ( ( ~ ( SV1344
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1344 @ SX0 ) ) ) )
= $false )
| ( ( SV1344
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1344 @ SX0 ) ) )
= $false )
| ( ( SV1344
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1344 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6462]) ).
thf(6582,plain,
! [SV280: b,SV1359: b > $o] :
( ( ( SV1359
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1359 @ SX0 ) ) )
= $true )
| ( ( SV1359 @ SV280 )
= $false )
| ( ( SV1359 @ SV280 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6466]) ).
thf(6583,plain,
! [SV280: b,SV1362: b > $o] :
( ( ( ~ ( SV1362
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1362 @ SX0 ) ) ) )
= $true )
| ( ( SV1362 @ SV280 )
= $true )
| ( ( SV1362 @ SV280 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6467]) ).
thf(6586,plain,
! [SV281: b,SV1377: b > $o] :
( ( ( SV1377
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1377 @ SX0 ) ) )
= $true )
| ( ( SV1377 @ SV281 )
= $false )
| ( ( SV1377 @ SV281 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6472]) ).
thf(6587,plain,
! [SV281: b,SV1380: b > $o] :
( ( ( ~ ( SV1380
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1380 @ SX0 ) ) ) )
= $true )
| ( ( SV1380 @ SV281 )
= $true )
| ( ( SV1380 @ SV281 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6473]) ).
thf(6590,plain,
! [SV282: b,SV1395: b > $o] :
( ( ( SV1395
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1395 @ SX0 ) ) )
= $true )
| ( ( SV1395 @ SV282 )
= $false )
| ( ( SV1395 @ SV282 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6478]) ).
thf(6591,plain,
! [SV282: b,SV1398: b > $o] :
( ( ( ~ ( SV1398
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1398 @ SX0 ) ) ) )
= $true )
| ( ( SV1398 @ SV282 )
= $true )
| ( ( SV1398 @ SV282 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6479]) ).
thf(6594,plain,
! [SV283: b,SV1413: b > $o] :
( ( ( SV1413
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1413 @ SX0 ) ) )
= $true )
| ( ( SV1413 @ SV283 )
= $false )
| ( ( SV1413 @ SV283 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6484]) ).
thf(6595,plain,
! [SV283: b,SV1416: b > $o] :
( ( ( ~ ( SV1416
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1416 @ SX0 ) ) ) )
= $true )
| ( ( SV1416 @ SV283 )
= $true )
| ( ( SV1416 @ SV283 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6485]) ).
thf(6598,plain,
! [SV176: b,SV1431: b > $o] :
( ( ( SV1431
@ ( sK5_SY206
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1431 @ SX0 ) ) )
= $true )
| ( ( SV1431 @ SV176 )
= $false )
| ( ( SV1431 @ SV176 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6490]) ).
thf(6599,plain,
! [SV176: b,SV1434: b > $o] :
( ( ( ~ ( SV1434
@ ( sK5_SY206
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1434 @ SX0 ) ) ) )
= $true )
| ( ( SV1434 @ SV176 )
= $true )
| ( ( SV1434 @ SV176 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6491]) ).
thf(6602,plain,
! [SV177: b,SV1449: b > $o] :
( ( ( SV1449
@ ( sK6_SY207
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1449 @ SX0 ) ) )
= $true )
| ( ( SV1449 @ SV177 )
= $false )
| ( ( SV1449 @ SV177 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6496]) ).
thf(6603,plain,
! [SV177: b,SV1452: b > $o] :
( ( ( ~ ( SV1452
@ ( sK6_SY207
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1452 @ SX0 ) ) ) )
= $true )
| ( ( SV1452 @ SV177 )
= $true )
| ( ( SV1452 @ SV177 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6497]) ).
thf(6606,plain,
! [SV284: b,SV1467: b > $o] :
( ( ( SV1467
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1467 @ SX0 ) ) )
= $true )
| ( ( SV1467 @ SV284 )
= $false )
| ( ( SV1467 @ SV284 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6502]) ).
thf(6607,plain,
! [SV284: b,SV1470: b > $o] :
( ( ( ~ ( SV1470
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1470 @ SX0 ) ) ) )
= $true )
| ( ( SV1470 @ SV284 )
= $true )
| ( ( SV1470 @ SV284 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6503]) ).
thf(6610,plain,
! [SV285: b,SV1485: b > $o] :
( ( ( SV1485
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1485 @ SX0 ) ) )
= $true )
| ( ( SV1485 @ SV285 )
= $false )
| ( ( SV1485 @ SV285 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6508]) ).
thf(6611,plain,
! [SV285: b,SV1488: b > $o] :
( ( ( ~ ( SV1488
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1488 @ SX0 ) ) ) )
= $true )
| ( ( SV1488 @ SV285 )
= $true )
| ( ( SV1488 @ SV285 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6509]) ).
thf(6614,plain,
! [SV286: b,SV1503: b > $o] :
( ( ( SV1503
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1503 @ SX0 ) ) )
= $true )
| ( ( SV1503 @ SV286 )
= $false )
| ( ( SV1503 @ SV286 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6514]) ).
thf(6615,plain,
! [SV286: b,SV1506: b > $o] :
( ( ( ~ ( SV1506
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1506 @ SX0 ) ) ) )
= $true )
| ( ( SV1506 @ SV286 )
= $true )
| ( ( SV1506 @ SV286 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[6515]) ).
thf(6617,plain,
! [SV260: b,SV356: b > $o] :
( ( ( SV356
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV356 @ SX0 ) ) )
= $false )
| ( ( SV356 @ SV260 )
= $true )
| ( ( SV356 @ SV260 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6519]) ).
thf(6619,plain,
! [SV265: b,SV374: b > $o] :
( ( ( SV374
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV374 @ SX0 ) ) )
= $false )
| ( ( SV374 @ SV265 )
= $true )
| ( ( SV374 @ SV265 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6523]) ).
thf(6621,plain,
! [SV266: b,SV392: b > $o] :
( ( ( SV392
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV392 @ SX0 ) ) )
= $false )
| ( ( SV392 @ SV266 )
= $true )
| ( ( SV392 @ SV266 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6527]) ).
thf(6623,plain,
! [SV267: b,SV600: b > $o] :
( ( ( SV600
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV600 @ SX0 ) ) )
= $false )
| ( ( SV600 @ SV267 )
= $true )
| ( ( SV600 @ SV267 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6535]) ).
thf(6627,plain,
! [SV268: b,SV772: b > $o] :
( ( ( SV772
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV772 @ SX0 ) ) )
= $false )
| ( ( SV772 @ SV268 )
= $true )
| ( ( SV772 @ SV268 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6543]) ).
thf(6631,plain,
! [SV269: b,SV808: b > $o] :
( ( ( SV808
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV808 @ SX0 ) ) )
= $false )
| ( ( SV808 @ SV269 )
= $true )
| ( ( SV808 @ SV269 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6551]) ).
thf(6633,plain,
! [SV270: b,SV826: b > $o] :
( ( ( SV826
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV826 @ SX0 ) ) )
= $false )
| ( ( SV826 @ SV270 )
= $true )
| ( ( SV826 @ SV270 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6555]) ).
thf(6635,plain,
! [SV273: b,SV994: b > $o] :
( ( ( SV994
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV994 @ SX0 ) ) )
= $false )
| ( ( SV994 @ SV273 )
= $true )
| ( ( SV994 @ SV273 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6559]) ).
thf(6637,plain,
! [SV274: b,SV1012: b > $o] :
( ( ( SV1012
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1012 @ SX0 ) ) )
= $false )
| ( ( SV1012 @ SV274 )
= $true )
| ( ( SV1012 @ SV274 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6563]) ).
thf(6639,plain,
! [SV277: b,SV1030: b > $o] :
( ( ( SV1030
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1030 @ SX0 ) ) )
= $false )
| ( ( SV1030 @ SV277 )
= $true )
| ( ( SV1030 @ SV277 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6567]) ).
thf(6641,plain,
! [SV278: b,SV1048: b > $o] :
( ( ( SV1048
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1048 @ SX0 ) ) )
= $false )
| ( ( SV1048 @ SV278 )
= $true )
| ( ( SV1048 @ SV278 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6571]) ).
thf(6643,plain,
! [SV279: b,SV1326: b > $o] :
( ( ( SV1326
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1326 @ SX0 ) ) )
= $false )
| ( ( SV1326 @ SV279 )
= $true )
| ( ( SV1326 @ SV279 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6575]) ).
thf(6646,plain,
! [SV1344: b > $o] :
( ( ( SV1344
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1344 @ SX0 ) ) )
= $true )
| ( ( SV1344
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1344 @ SX0 ) ) )
= $false )
| ( ( SV1344
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1344 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6580]) ).
thf(6647,plain,
! [SV280: b,SV1362: b > $o] :
( ( ( SV1362
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1362 @ SX0 ) ) )
= $false )
| ( ( SV1362 @ SV280 )
= $true )
| ( ( SV1362 @ SV280 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6583]) ).
thf(6649,plain,
! [SV281: b,SV1380: b > $o] :
( ( ( SV1380
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1380 @ SX0 ) ) )
= $false )
| ( ( SV1380 @ SV281 )
= $true )
| ( ( SV1380 @ SV281 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6587]) ).
thf(6651,plain,
! [SV282: b,SV1398: b > $o] :
( ( ( SV1398
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1398 @ SX0 ) ) )
= $false )
| ( ( SV1398 @ SV282 )
= $true )
| ( ( SV1398 @ SV282 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6591]) ).
thf(6653,plain,
! [SV283: b,SV1416: b > $o] :
( ( ( SV1416
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1416 @ SX0 ) ) )
= $false )
| ( ( SV1416 @ SV283 )
= $true )
| ( ( SV1416 @ SV283 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6595]) ).
thf(6655,plain,
! [SV176: b,SV1434: b > $o] :
( ( ( SV1434
@ ( sK5_SY206
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1434 @ SX0 ) ) )
= $false )
| ( ( SV1434 @ SV176 )
= $true )
| ( ( SV1434 @ SV176 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6599]) ).
thf(6657,plain,
! [SV177: b,SV1452: b > $o] :
( ( ( SV1452
@ ( sK6_SY207
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1452 @ SX0 ) ) )
= $false )
| ( ( SV1452 @ SV177 )
= $true )
| ( ( SV1452 @ SV177 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6603]) ).
thf(6659,plain,
! [SV284: b,SV1470: b > $o] :
( ( ( SV1470
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1470 @ SX0 ) ) )
= $false )
| ( ( SV1470 @ SV284 )
= $true )
| ( ( SV1470 @ SV284 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6607]) ).
thf(6661,plain,
! [SV285: b,SV1488: b > $o] :
( ( ( SV1488
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1488 @ SX0 ) ) )
= $false )
| ( ( SV1488 @ SV285 )
= $true )
| ( ( SV1488 @ SV285 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6611]) ).
thf(6663,plain,
! [SV286: b,SV1506: b > $o] :
( ( ( SV1506
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1506 @ SX0 ) ) )
= $false )
| ( ( SV1506 @ SV286 )
= $true )
| ( ( SV1506 @ SV286 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6615]) ).
thf(6665,plain,
! [SV35: $o] :
( ( ( SV35 = $false )
= $true )
| ( SV35 = $true ) ),
inference(sim,[status(thm)],[1371]) ).
thf(6666,plain,
! [SV35: $o] :
( ( SV35 = $false )
| ( ( SV35 = $true )
= $true ) ),
inference(sim,[status(thm)],[1375]) ).
thf(6667,plain,
! [SV123: set_b,SV153: b,SV164: set_b,SV186: set_b,SV72: b] :
( ( ( member_b @ SV72 @ ( sK29_SY374 @ SV186 @ SV72 @ SV164 @ SV153 @ SV123 ) )
= $false )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV164
= ( insert_b @ SV72 @ SV186 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV186 ) )
= $false )
| ( ( member_b @ SV153 @ SV186 )
= $true )
| ( ( member_b @ SV72 @ SV186 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(sim,[status(thm)],[2078]) ).
thf(6668,plain,
! [SV123: set_b,SV153: b,SV186: set_b,SV72: b,SV164: set_b] :
( ( ( SV164
= ( insert_b @ SV72 @ ( sK29_SY374 @ SV186 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV164
= ( insert_b @ SV72 @ SV186 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV186 ) )
= $false )
| ( ( member_b @ SV153 @ SV186 )
= $true )
| ( ( member_b @ SV72 @ SV186 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(sim,[status(thm)],[2086]) ).
thf(6669,plain,
! [SV164: set_b,SV72: b,SV186: set_b,SV153: b,SV123: set_b] :
( ( ( SV123
= ( insert_b @ SV153 @ ( sK29_SY374 @ SV186 @ SV72 @ SV164 @ SV153 @ SV123 ) ) )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV164
= ( insert_b @ SV72 @ SV186 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV186 ) )
= $false )
| ( ( member_b @ SV153 @ SV186 )
= $true )
| ( ( member_b @ SV72 @ SV186 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(sim,[status(thm)],[2095]) ).
thf(6670,plain,
! [SV123: set_b,SV164: set_b,SV72: b,SV186: set_b,SV153: b] :
( ( ( member_b @ SV153 @ ( sK29_SY374 @ SV186 @ SV72 @ SV164 @ SV153 @ SV123 ) )
= $false )
| ( ( SV72 = SV153 )
= $true )
| ( ( SV164
= ( insert_b @ SV72 @ SV186 ) )
= $false )
| ( ( SV123
= ( insert_b @ SV153 @ SV186 ) )
= $false )
| ( ( member_b @ SV153 @ SV186 )
= $true )
| ( ( member_b @ SV72 @ SV186 )
= $true )
| ( ( member_b @ SV153 @ SV164 )
= $true )
| ( ( member_b @ SV72 @ SV123 )
= $true ) ),
inference(sim,[status(thm)],[2098]) ).
thf(6671,plain,
! [SV260: b,SV194: b > $o] :
( ( ( SV194 @ ( hilbert_Eps_b @ SV194 ) )
= $true )
| ( ( SV194 @ SV260 )
= $false ) ),
inference(sim,[status(thm)],[3389]) ).
thf(6672,plain,
! [SV260: b,SV344: b > $o] :
( ( ( SV344
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV344 @ SX0 ) ) )
= $false )
| ( ( SV344 @ SV260 )
= $true ) ),
inference(sim,[status(thm)],[5889]) ).
thf(6673,plain,
! [SV260: b,SV347: b > $o] :
( ( ( SV347
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV347 @ SX0 ) ) )
= $true )
| ( ( SV347 @ SV260 )
= $false ) ),
inference(sim,[status(thm)],[6158]) ).
thf(6674,plain,
! [SV260: b,SV350: b > $o] :
( ( ( SV350
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV350 @ SX0 ) ) )
= $false )
| ( ( SV350 @ SV260 )
= $true ) ),
inference(sim,[status(thm)],[6365]) ).
thf(6675,plain,
! [SV260: b,SV353: b > $o] :
( ( ( SV353
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV353 @ SX0 ) ) )
= $true )
| ( ( SV353 @ SV260 )
= $false ) ),
inference(sim,[status(thm)],[6518]) ).
thf(6676,plain,
! [SV260: b,SV356: b > $o] :
( ( ( SV356
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV356 @ SX0 ) ) )
= $false )
| ( ( SV356 @ SV260 )
= $true ) ),
inference(sim,[status(thm)],[6617]) ).
thf(6677,plain,
! [SV43: b] :
( ( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV43 @ bot_bot_set_b ) )
= bot_bot_set_b )
= $true )
| ( ( ( hilbert_Eps_b @ ( p @ ( hilbert_Eps_b @ ( p @ SV43 ) ) ) )
= ( hilbert_Eps_b @ ( p @ SV43 ) ) )
= $true ) ),
inference(sim,[status(thm)],[3058]) ).
thf(6678,plain,
! [SV43: b] :
( ( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV43 @ bot_bot_set_b ) )
= bot_bot_set_b )
= $true )
| ( ( ( hilbert_Eps_b @ ( p @ ( hilbert_Eps_b @ ( p @ SV43 ) ) ) )
= ( hilbert_Eps_b @ ( p @ SV43 ) ) )
= $true ) ),
inference(sim,[status(thm)],[3060]) ).
thf(6679,plain,
! [SV43: b] :
( ( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV43 @ bot_bot_set_b ) )
= bot_bot_set_b )
= $true )
| ( ( ( hilbert_Eps_b @ ( p @ ( hilbert_Eps_b @ ( p @ SV43 ) ) ) )
= ( hilbert_Eps_b @ ( p @ SV43 ) ) )
= $true ) ),
inference(sim,[status(thm)],[3062]) ).
thf(6680,plain,
! [SV36: set_b] :
( ( ( member_b @ ( sK1_SY224 @ SV36 ) @ SV36 )
= $true )
| ( ( SV36 = bot_bot_set_b )
= $true ) ),
inference(sim,[status(thm)],[3064]) ).
thf(6681,plain,
! [SV265: b,SV204: b > $o] :
( ( ( SV204 @ ( hilbert_Eps_b @ SV204 ) )
= $true )
| ( ( SV204 @ SV265 )
= $false ) ),
inference(sim,[status(thm)],[3420]) ).
thf(6682,plain,
! [SV265: b,SV362: b > $o] :
( ( ( SV362
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV362 @ SX0 ) ) )
= $false )
| ( ( SV362 @ SV265 )
= $true ) ),
inference(sim,[status(thm)],[5899]) ).
thf(6683,plain,
! [SV265: b,SV365: b > $o] :
( ( ( SV365
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV365 @ SX0 ) ) )
= $true )
| ( ( SV365 @ SV265 )
= $false ) ),
inference(sim,[status(thm)],[6166]) ).
thf(6684,plain,
! [SV265: b,SV368: b > $o] :
( ( ( SV368
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV368 @ SX0 ) ) )
= $false )
| ( ( SV368 @ SV265 )
= $true ) ),
inference(sim,[status(thm)],[6371]) ).
thf(6685,plain,
! [SV265: b,SV371: b > $o] :
( ( ( SV371
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV371 @ SX0 ) ) )
= $true )
| ( ( SV371 @ SV265 )
= $false ) ),
inference(sim,[status(thm)],[6522]) ).
thf(6686,plain,
! [SV265: b,SV374: b > $o] :
( ( ( SV374
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV374 @ SX0 ) ) )
= $false )
| ( ( SV374 @ SV265 )
= $true ) ),
inference(sim,[status(thm)],[6619]) ).
thf(6687,plain,
! [SV266: b,SV206: b > $o] :
( ( ( SV206 @ ( hilbert_Eps_b @ SV206 ) )
= $true )
| ( ( SV206 @ SV266 )
= $false ) ),
inference(sim,[status(thm)],[3421]) ).
thf(6688,plain,
! [SV266: b,SV380: b > $o] :
( ( ( SV380
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV380 @ SX0 ) ) )
= $false )
| ( ( SV380 @ SV266 )
= $true ) ),
inference(sim,[status(thm)],[5909]) ).
thf(6689,plain,
! [SV266: b,SV383: b > $o] :
( ( ( SV383
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV383 @ SX0 ) ) )
= $true )
| ( ( SV383 @ SV266 )
= $false ) ),
inference(sim,[status(thm)],[6174]) ).
thf(6690,plain,
! [SV266: b,SV386: b > $o] :
( ( ( SV386
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV386 @ SX0 ) ) )
= $false )
| ( ( SV386 @ SV266 )
= $true ) ),
inference(sim,[status(thm)],[6377]) ).
thf(6691,plain,
! [SV266: b,SV389: b > $o] :
( ( ( SV389
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV389 @ SX0 ) ) )
= $true )
| ( ( SV389 @ SV266 )
= $false ) ),
inference(sim,[status(thm)],[6526]) ).
thf(6692,plain,
! [SV266: b,SV392: b > $o] :
( ( ( SV392
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV392 @ SX0 ) ) )
= $false )
| ( ( SV392 @ SV266 )
= $true ) ),
inference(sim,[status(thm)],[6621]) ).
thf(6693,plain,
! [SV44: b > $o,SV99: b] :
( ( ( ( collect_b
@ ^ [SY320: b] :
~ ( ( SV99 != SY320 )
| ~ ( SV44 @ SY320 ) ) )
= ( insert_b @ SV99 @ bot_bot_set_b ) )
= $true )
| ( ( SV44 @ SV99 )
= $false ) ),
inference(sim,[status(thm)],[3422]) ).
thf(6694,plain,
! [SV398: b > $o,SV99: b] :
( ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV99 != SX0 )
| ~ ~ ( SV398 @ SX0 ) ) )
= ( insert_b @ SV99 @ bot_bot_set_b ) )
= $true )
| ( ( SV398 @ SV99 )
= $true ) ),
inference(sim,[status(thm)],[5631]) ).
thf(6695,plain,
! [SV402: b > set_b,SV99: b,SV401: b > set_b] :
( ( ( ( SV401 @ SV99 )
= ( SV402 @ SV99 ) )
= $true )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV99 != SX0 )
| ~ ( ( ( SV401 @ SX0 )
!= ( SV402 @ SX0 ) ) ) ) )
= ( insert_b @ SV99 @ bot_bot_set_b ) )
= $true ) ),
inference(sim,[status(thm)],[5062]) ).
thf(6696,plain,
! [SV47: b,SV141: set_b,SV102: set_b] :
( ( ( ord_less_eq_set_b @ SV102 @ SV141 )
= $true )
| ( ( ord_less_eq_set_b @ SV102 @ ( insert_b @ SV47 @ SV141 ) )
= $false )
| ( ( member_b @ SV47 @ SV102 )
= $true ) ),
inference(sim,[status(thm)],[3753]) ).
thf(6697,plain,
! [SV141: set_b,SV47: b,SV102: set_b] :
( ( ( ord_less_eq_set_b @ SV102 @ ( insert_b @ SV47 @ SV141 ) )
= $true )
| ( ( ord_less_eq_set_b @ SV102 @ SV141 )
= $false )
| ( ( member_b @ SV47 @ SV102 )
= $true ) ),
inference(sim,[status(thm)],[3754]) ).
thf(6698,plain,
! [SV141: set_b,SV47: b,SV102: set_b] :
( ( ( member_b @ SV47 @ SV102 )
= $true )
| ( ( ord_less_eq_set_b @ SV102 @ ( insert_b @ SV47 @ SV141 ) )
= $false )
| ( ( ord_less_eq_set_b @ SV102 @ SV141 )
= $true ) ),
inference(sim,[status(thm)],[4477]) ).
thf(6699,plain,
! [SV141: set_b,SV47: b,SV102: set_b] :
( ( ( member_b @ SV47 @ SV102 )
= $true )
| ( ( ord_less_eq_set_b @ SV102 @ ( insert_b @ SV47 @ SV141 ) )
= $true )
| ( ( ord_less_eq_set_b @ SV102 @ SV141 )
= $false ) ),
inference(sim,[status(thm)],[4476]) ).
thf(6700,plain,
! [SV104: set_b,SV49: b] :
( ( ( member_b @ SV49 @ SV104 )
= $false )
| ( ( member_b @ SV49 @ ( sK9_SY326 @ SV49 @ SV104 ) )
= $false ) ),
inference(sim,[status(thm)],[3332]) ).
thf(6701,plain,
! [SV69: set_b,SV121: set_b] :
( ( ( member_b @ ( sK3_SY345 @ SV121 @ SV69 ) @ SV69 )
= $true )
| ( ( ord_less_eq_set_b @ SV69 @ SV121 )
= $true ) ),
inference(sim,[status(thm)],[3078]) ).
thf(6702,plain,
! [SV73: b > $o,SV124: b] :
( ( ( ( collect_b
@ ^ [SY349: b] :
~ ( ( SY349 != SV124 )
| ~ ( SV73 @ SY349 ) ) )
= ( insert_b @ SV124 @ bot_bot_set_b ) )
= $true )
| ( ( SV73 @ SV124 )
= $false ) ),
inference(sim,[status(thm)],[3427]) ).
thf(6703,plain,
! [SV493: b > $o,SV124: b] :
( ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SX0 != SV124 )
| ~ ~ ( SV493 @ SX0 ) ) )
= ( insert_b @ SV124 @ bot_bot_set_b ) )
= $true )
| ( ( SV493 @ SV124 )
= $true ) ),
inference(sim,[status(thm)],[5637]) ).
thf(6704,plain,
! [SV497: b > set_b,SV124: b,SV496: b > set_b] :
( ( ( ( SV496 @ SV124 )
= ( SV497 @ SV124 ) )
= $true )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SX0 != SV124 )
| ~ ( ( ( SV496 @ SX0 )
!= ( SV497 @ SX0 ) ) ) ) )
= ( insert_b @ SV124 @ bot_bot_set_b ) )
= $true ) ),
inference(sim,[status(thm)],[5072]) ).
thf(6705,plain,
! [SV267: b,SV208: b > $o] :
( ( ( SV208 @ ( hilbert_Eps_b @ SV208 ) )
= $true )
| ( ( SV208 @ SV267 )
= $false ) ),
inference(sim,[status(thm)],[3428]) ).
thf(6706,plain,
! [SV267: b,SV588: b > $o] :
( ( ( SV588
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV588 @ SX0 ) ) )
= $false )
| ( ( SV588 @ SV267 )
= $true ) ),
inference(sim,[status(thm)],[5931]) ).
thf(6707,plain,
! [SV267: b,SV591: b > $o] :
( ( ( SV591
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV591 @ SX0 ) ) )
= $true )
| ( ( SV591 @ SV267 )
= $false ) ),
inference(sim,[status(thm)],[6194]) ).
thf(6708,plain,
! [SV267: b,SV594: b > $o] :
( ( ( SV594
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV594 @ SX0 ) ) )
= $false )
| ( ( SV594 @ SV267 )
= $true ) ),
inference(sim,[status(thm)],[6391]) ).
thf(6709,plain,
! [SV267: b,SV597: b > $o] :
( ( ( SV597
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV597 @ SX0 ) ) )
= $true )
| ( ( SV597 @ SV267 )
= $false ) ),
inference(sim,[status(thm)],[6534]) ).
thf(6710,plain,
! [SV267: b,SV600: b > $o] :
( ( ( SV600
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV600 @ SX0 ) ) )
= $false )
| ( ( SV600 @ SV267 )
= $true ) ),
inference(sim,[status(thm)],[6623]) ).
thf(6711,plain,
! [SV99: b,SV44: b > $o] :
( ( ( SV44 @ SV99 )
= $true )
| ( ( ( collect_b
@ ^ [SY321: b] :
~ ( ( SV99 != SY321 )
| ~ ( SV44 @ SY321 ) ) )
= bot_bot_set_b )
= $true ) ),
inference(sim,[status(thm)],[3084]) ).
thf(6712,plain,
! [SV607: b > set_b,SV99: b,SV606: b > set_b] :
( ( ( ( SV606 @ SV99 )
= ( SV607 @ SV99 ) )
= $true )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SV99 != SX0 )
| ( ( SV606 @ SX0 )
!= ( SV607 @ SX0 ) ) ) )
= bot_bot_set_b )
= $true ) ),
inference(sim,[status(thm)],[4635]) ).
thf(6713,plain,
! [SV268: b,SV210: b > $o] :
( ( ( SV210 @ ( hilbert_Eps_b @ SV210 ) )
= $true )
| ( ( SV210 @ SV268 )
= $false ) ),
inference(sim,[status(thm)],[3430]) ).
thf(6714,plain,
! [SV268: b,SV760: b > $o] :
( ( ( SV760
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV760 @ SX0 ) ) )
= $false )
| ( ( SV760 @ SV268 )
= $true ) ),
inference(sim,[status(thm)],[5959]) ).
thf(6715,plain,
! [SV268: b,SV763: b > $o] :
( ( ( SV763
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV763 @ SX0 ) ) )
= $true )
| ( ( SV763 @ SV268 )
= $false ) ),
inference(sim,[status(thm)],[6212]) ).
thf(6716,plain,
! [SV268: b,SV766: b > $o] :
( ( ( SV766
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV766 @ SX0 ) ) )
= $false )
| ( ( SV766 @ SV268 )
= $true ) ),
inference(sim,[status(thm)],[6403]) ).
thf(6717,plain,
! [SV268: b,SV769: b > $o] :
( ( ( SV769
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV769 @ SX0 ) ) )
= $true )
| ( ( SV769 @ SV268 )
= $false ) ),
inference(sim,[status(thm)],[6542]) ).
thf(6718,plain,
! [SV268: b,SV772: b > $o] :
( ( ( SV772
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV772 @ SX0 ) ) )
= $false )
| ( ( SV772 @ SV268 )
= $true ) ),
inference(sim,[status(thm)],[6627]) ).
thf(6719,plain,
! [SV269: b,SV212: b > $o] :
( ( ( SV212 @ ( hilbert_Eps_b @ SV212 ) )
= $true )
| ( ( SV212 @ SV269 )
= $false ) ),
inference(sim,[status(thm)],[3432]) ).
thf(6720,plain,
! [SV269: b,SV796: b > $o] :
( ( ( SV796
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV796 @ SX0 ) ) )
= $false )
| ( ( SV796 @ SV269 )
= $true ) ),
inference(sim,[status(thm)],[5979]) ).
thf(6721,plain,
! [SV269: b,SV799: b > $o] :
( ( ( SV799
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV799 @ SX0 ) ) )
= $true )
| ( ( SV799 @ SV269 )
= $false ) ),
inference(sim,[status(thm)],[6228]) ).
thf(6722,plain,
! [SV269: b,SV802: b > $o] :
( ( ( SV802
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV802 @ SX0 ) ) )
= $false )
| ( ( SV802 @ SV269 )
= $true ) ),
inference(sim,[status(thm)],[6415]) ).
thf(6723,plain,
! [SV269: b,SV805: b > $o] :
( ( ( SV805
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV805 @ SX0 ) ) )
= $true )
| ( ( SV805 @ SV269 )
= $false ) ),
inference(sim,[status(thm)],[6550]) ).
thf(6724,plain,
! [SV269: b,SV808: b > $o] :
( ( ( SV808
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV808 @ SX0 ) ) )
= $false )
| ( ( SV808 @ SV269 )
= $true ) ),
inference(sim,[status(thm)],[6631]) ).
thf(6725,plain,
! [SV270: b,SV214: b > $o] :
( ( ( SV214 @ ( hilbert_Eps_b @ SV214 ) )
= $true )
| ( ( SV214 @ SV270 )
= $false ) ),
inference(sim,[status(thm)],[3433]) ).
thf(6726,plain,
! [SV270: b,SV814: b > $o] :
( ( ( SV814
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV814 @ SX0 ) ) )
= $false )
| ( ( SV814 @ SV270 )
= $true ) ),
inference(sim,[status(thm)],[5989]) ).
thf(6727,plain,
! [SV270: b,SV817: b > $o] :
( ( ( SV817
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV817 @ SX0 ) ) )
= $true )
| ( ( SV817 @ SV270 )
= $false ) ),
inference(sim,[status(thm)],[6236]) ).
thf(6728,plain,
! [SV270: b,SV820: b > $o] :
( ( ( SV820
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV820 @ SX0 ) ) )
= $false )
| ( ( SV820 @ SV270 )
= $true ) ),
inference(sim,[status(thm)],[6421]) ).
thf(6729,plain,
! [SV270: b,SV823: b > $o] :
( ( ( SV823
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV823 @ SX0 ) ) )
= $true )
| ( ( SV823 @ SV270 )
= $false ) ),
inference(sim,[status(thm)],[6554]) ).
thf(6730,plain,
! [SV270: b,SV826: b > $o] :
( ( ( SV826
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV826 @ SX0 ) ) )
= $false )
| ( ( SV826 @ SV270 )
= $true ) ),
inference(sim,[status(thm)],[6633]) ).
thf(6731,plain,
! [SV124: b,SV73: b > $o] :
( ( ( SV73 @ SV124 )
= $true )
| ( ( ( collect_b
@ ^ [SY350: b] :
~ ( ( SY350 != SV124 )
| ~ ( SV73 @ SY350 ) ) )
= bot_bot_set_b )
= $true ) ),
inference(sim,[status(thm)],[3096]) ).
thf(6732,plain,
! [SV833: b > set_b,SV124: b,SV832: b > set_b] :
( ( ( ( SV832 @ SV124 )
= ( SV833 @ SV124 ) )
= $true )
| ( ( ( collect_b
@ ^ [SX0: b] :
~ ( ( SX0 != SV124 )
| ( ( SV832 @ SX0 )
!= ( SV833 @ SX0 ) ) ) )
= bot_bot_set_b )
= $true ) ),
inference(sim,[status(thm)],[4697]) ).
thf(6733,plain,
! [SV89: b > $o,SV19: b] :
( ( ( member_b @ SV19 @ ( collect_b @ SV89 ) )
= $false )
| ( ( SV89 @ SV19 )
= $true ) ),
inference(sim,[status(thm)],[3230]) ).
thf(6734,plain,
! [SV968: b > $o,SV19: b] :
( ( ( member_b @ SV19
@ ( collect_b
@ ^ [SX0: b] :
~ ( SV968 @ SX0 ) ) )
= $false )
| ( ( SV968 @ SV19 )
= $false ) ),
inference(sim,[status(thm)],[5736]) ).
thf(6735,plain,
! [SV972: b > set_b,SV19: b,SV971: b > b] :
( ( ( member_b @ ( SV971 @ SV19 ) @ ( SV972 @ SV19 ) )
= $false )
| ( ( member_b @ SV19
@ ( collect_b
@ ^ [SX0: b] :
~ ( member_b @ ( SV971 @ SX0 ) @ ( SV972 @ SX0 ) ) ) )
= $false ) ),
inference(sim,[status(thm)],[5161]) ).
thf(6736,plain,
! [SV89: b > $o,SV19: b] :
( ( ( member_b @ SV19 @ ( collect_b @ SV89 ) )
= $true )
| ( ( SV89 @ SV19 )
= $false ) ),
inference(sim,[status(thm)],[3435]) ).
thf(6737,plain,
! [SV975: b > $o,SV19: b] :
( ( ( member_b @ SV19
@ ( collect_b
@ ^ [SX0: b] :
~ ( SV975 @ SX0 ) ) )
= $true )
| ( ( SV975 @ SV19 )
= $true ) ),
inference(sim,[status(thm)],[5737]) ).
thf(6738,plain,
! [SV979: b > set_b,SV19: b,SV978: b > b] :
( ( ( member_b @ ( SV978 @ SV19 ) @ ( SV979 @ SV19 ) )
= $true )
| ( ( member_b @ SV19
@ ( collect_b
@ ^ [SX0: b] :
~ ( member_b @ ( SV978 @ SX0 ) @ ( SV979 @ SX0 ) ) ) )
= $true ) ),
inference(sim,[status(thm)],[5166]) ).
thf(6739,plain,
! [SV23: b] :
( ( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ SV23 @ bot_bot_set_b ) )
= bot_bot_set_b )
= $true )
| ( ( member_b @ SV23 @ ( labele1424214014nt_a_b @ g ) )
= $true ) ),
inference(sim,[status(thm)],[3104]) ).
thf(6740,plain,
! [SV273: b,SV220: b > $o] :
( ( ( SV220 @ ( hilbert_Eps_b @ SV220 ) )
= $true )
| ( ( SV220 @ SV273 )
= $false ) ),
inference(sim,[status(thm)],[3436]) ).
thf(6741,plain,
! [SV273: b,SV982: b > $o] :
( ( ( SV982
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV982 @ SX0 ) ) )
= $false )
| ( ( SV982 @ SV273 )
= $true ) ),
inference(sim,[status(thm)],[6007]) ).
thf(6742,plain,
! [SV273: b,SV985: b > $o] :
( ( ( SV985
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV985 @ SX0 ) ) )
= $true )
| ( ( SV985 @ SV273 )
= $false ) ),
inference(sim,[status(thm)],[6246]) ).
thf(6743,plain,
! [SV273: b,SV988: b > $o] :
( ( ( SV988
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV988 @ SX0 ) ) )
= $false )
| ( ( SV988 @ SV273 )
= $true ) ),
inference(sim,[status(thm)],[6427]) ).
thf(6744,plain,
! [SV273: b,SV991: b > $o] :
( ( ( SV991
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV991 @ SX0 ) ) )
= $true )
| ( ( SV991 @ SV273 )
= $false ) ),
inference(sim,[status(thm)],[6558]) ).
thf(6745,plain,
! [SV273: b,SV994: b > $o] :
( ( ( SV994
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV994 @ SX0 ) ) )
= $false )
| ( ( SV994 @ SV273 )
= $true ) ),
inference(sim,[status(thm)],[6635]) ).
thf(6746,plain,
! [SV274: b,SV222: b > $o] :
( ( ( SV222 @ ( hilbert_Eps_b @ SV222 ) )
= $true )
| ( ( SV222 @ SV274 )
= $false ) ),
inference(sim,[status(thm)],[3437]) ).
thf(6747,plain,
! [SV274: b,SV1000: b > $o] :
( ( ( SV1000
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1000 @ SX0 ) ) )
= $false )
| ( ( SV1000 @ SV274 )
= $true ) ),
inference(sim,[status(thm)],[6017]) ).
thf(6748,plain,
! [SV274: b,SV1003: b > $o] :
( ( ( SV1003
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1003 @ SX0 ) ) )
= $true )
| ( ( SV1003 @ SV274 )
= $false ) ),
inference(sim,[status(thm)],[6254]) ).
thf(6749,plain,
! [SV274: b,SV1006: b > $o] :
( ( ( SV1006
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1006 @ SX0 ) ) )
= $false )
| ( ( SV1006 @ SV274 )
= $true ) ),
inference(sim,[status(thm)],[6433]) ).
thf(6750,plain,
! [SV274: b,SV1009: b > $o] :
( ( ( SV1009
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1009 @ SX0 ) ) )
= $true )
| ( ( SV1009 @ SV274 )
= $false ) ),
inference(sim,[status(thm)],[6562]) ).
thf(6751,plain,
! [SV274: b,SV1012: b > $o] :
( ( ( SV1012
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1012 @ SX0 ) ) )
= $false )
| ( ( SV1012 @ SV274 )
= $true ) ),
inference(sim,[status(thm)],[6637]) ).
thf(6752,plain,
( ( member_b
@ ( hilbert_Eps_b
@ ^ [SX0: b] : ( member_b @ SX0 @ bot_bot_set_b ) )
@ bot_bot_set_b )
= $false ),
inference(sim,[status(thm)],[4727]) ).
thf(6753,plain,
! [SV70: set_b] :
( ( ( member_b
@ ( hilbert_Eps_b
@ ^ [SY283: b] : ( member_b @ SY283 @ SV70 ) )
@ SV70 )
= $true )
| ( ( SV70 = bot_bot_set_b )
= $true ) ),
inference(sim,[status(thm)],[3112]) ).
thf(6754,plain,
! [SV277: b,SV228: b > $o] :
( ( ( SV228 @ ( hilbert_Eps_b @ SV228 ) )
= $true )
| ( ( SV228 @ SV277 )
= $false ) ),
inference(sim,[status(thm)],[3438]) ).
thf(6755,plain,
! [SV277: b,SV1018: b > $o] :
( ( ( SV1018
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1018 @ SX0 ) ) )
= $false )
| ( ( SV1018 @ SV277 )
= $true ) ),
inference(sim,[status(thm)],[6027]) ).
thf(6756,plain,
! [SV277: b,SV1021: b > $o] :
( ( ( SV1021
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1021 @ SX0 ) ) )
= $true )
| ( ( SV1021 @ SV277 )
= $false ) ),
inference(sim,[status(thm)],[6262]) ).
thf(6757,plain,
! [SV277: b,SV1024: b > $o] :
( ( ( SV1024
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1024 @ SX0 ) ) )
= $false )
| ( ( SV1024 @ SV277 )
= $true ) ),
inference(sim,[status(thm)],[6439]) ).
thf(6758,plain,
! [SV277: b,SV1027: b > $o] :
( ( ( SV1027
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1027 @ SX0 ) ) )
= $true )
| ( ( SV1027 @ SV277 )
= $false ) ),
inference(sim,[status(thm)],[6566]) ).
thf(6759,plain,
! [SV277: b,SV1030: b > $o] :
( ( ( SV1030
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1030 @ SX0 ) ) )
= $false )
| ( ( SV1030 @ SV277 )
= $true ) ),
inference(sim,[status(thm)],[6639]) ).
thf(6760,plain,
! [SV278: b,SV230: b > $o] :
( ( ( SV230 @ ( hilbert_Eps_b @ SV230 ) )
= $true )
| ( ( SV230 @ SV278 )
= $false ) ),
inference(sim,[status(thm)],[3439]) ).
thf(6761,plain,
! [SV278: b,SV1036: b > $o] :
( ( ( SV1036
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1036 @ SX0 ) ) )
= $false )
| ( ( SV1036 @ SV278 )
= $true ) ),
inference(sim,[status(thm)],[6037]) ).
thf(6762,plain,
! [SV278: b,SV1039: b > $o] :
( ( ( SV1039
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1039 @ SX0 ) ) )
= $true )
| ( ( SV1039 @ SV278 )
= $false ) ),
inference(sim,[status(thm)],[6270]) ).
thf(6763,plain,
! [SV278: b,SV1042: b > $o] :
( ( ( SV1042
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1042 @ SX0 ) ) )
= $false )
| ( ( SV1042 @ SV278 )
= $true ) ),
inference(sim,[status(thm)],[6445]) ).
thf(6764,plain,
! [SV278: b,SV1045: b > $o] :
( ( ( SV1045
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1045 @ SX0 ) ) )
= $true )
| ( ( SV1045 @ SV278 )
= $false ) ),
inference(sim,[status(thm)],[6570]) ).
thf(6765,plain,
! [SV278: b,SV1048: b > $o] :
( ( ( SV1048
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1048 @ SX0 ) ) )
= $false )
| ( ( SV1048 @ SV278 )
= $true ) ),
inference(sim,[status(thm)],[6641]) ).
thf(6766,plain,
! [SV1055: b > set_b,SV173: b,SV1054: b > set_b] :
( ( ( ( SV1054 @ SV173 )
= ( SV1055 @ SV173 ) )
= $false )
| ( ( bot_bot_set_b
= ( collect_b
@ ^ [SX0: b] :
( ( SV1054 @ SX0 )
= ( SV1055 @ SX0 ) ) ) )
= $false ) ),
inference(sim,[status(thm)],[4756]) ).
thf(6767,plain,
! [SV9: b > $o] :
( ( ( bot_bot_set_b
= ( collect_b @ SV9 ) )
= $true )
| ( ( SV9 @ ( sK5_SY206 @ SV9 ) )
= $true ) ),
inference(sim,[status(thm)],[3120]) ).
thf(6768,plain,
! [SV1133: b > set_b,SV174: b,SV1132: b > set_b] :
( ( ( ( SV1132 @ SV174 )
= ( SV1133 @ SV174 ) )
= $false )
| ( ( ( collect_b
@ ^ [SX0: b] :
( ( SV1132 @ SX0 )
= ( SV1133 @ SX0 ) ) )
= bot_bot_set_b )
= $false ) ),
inference(sim,[status(thm)],[4764]) ).
thf(6769,plain,
! [SV10: b > $o] :
( ( ( ( collect_b @ SV10 )
= bot_bot_set_b )
= $true )
| ( ( SV10 @ ( sK6_SY207 @ SV10 ) )
= $true ) ),
inference(sim,[status(thm)],[3124]) ).
thf(6770,plain,
! [SV11: set_b] :
( ( ( SV11 = bot_bot_set_b )
= $true )
| ( ( member_b @ ( sK7_SY208 @ SV11 ) @ SV11 )
= $true ) ),
inference(sim,[status(thm)],[3126]) ).
thf(6771,plain,
! [SV279: b,SV232: b > $o] :
( ( ( SV232 @ ( hilbert_Eps_b @ SV232 ) )
= $true )
| ( ( SV232 @ SV279 )
= $false ) ),
inference(sim,[status(thm)],[3440]) ).
thf(6772,plain,
! [SV279: b,SV1314: b > $o] :
( ( ( SV1314
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1314 @ SX0 ) ) )
= $false )
| ( ( SV1314 @ SV279 )
= $true ) ),
inference(sim,[status(thm)],[6047]) ).
thf(6773,plain,
! [SV279: b,SV1317: b > $o] :
( ( ( SV1317
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1317 @ SX0 ) ) )
= $true )
| ( ( SV1317 @ SV279 )
= $false ) ),
inference(sim,[status(thm)],[6278]) ).
thf(6774,plain,
! [SV279: b,SV1320: b > $o] :
( ( ( SV1320
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1320 @ SX0 ) ) )
= $false )
| ( ( SV1320 @ SV279 )
= $true ) ),
inference(sim,[status(thm)],[6451]) ).
thf(6775,plain,
! [SV279: b,SV1323: b > $o] :
( ( ( SV1323
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1323 @ SX0 ) ) )
= $true )
| ( ( SV1323 @ SV279 )
= $false ) ),
inference(sim,[status(thm)],[6574]) ).
thf(6776,plain,
! [SV279: b,SV1326: b > $o] :
( ( ( SV1326
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1326 @ SX0 ) ) )
= $false )
| ( ( SV1326 @ SV279 )
= $true ) ),
inference(sim,[status(thm)],[6643]) ).
thf(6777,plain,
! [SV97: set_b,SV41: b] :
( ( ( member_b @ SV41 @ SV97 )
= $false )
| ( ( member_b @ SV41 @ ( sK8_SY318 @ SV41 @ SV97 ) )
= $false ) ),
inference(sim,[status(thm)],[3360]) ).
thf(6778,plain,
! [SV58: b > $o] :
( ( ( SV58 @ ( hilbert_Eps_b @ SV58 ) )
= $false )
| ( ( SV58 @ ( sK16_SY259 @ SV58 ) )
= $true ) ),
inference(sim,[status(thm)],[3255]) ).
thf(6779,plain,
! [SV1332: b > $o] :
( ( ( SV1332
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1332 @ SX0 ) ) )
= $true )
| ( ( SV1332
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ( SV1332 @ SX0 ) ) )
= $false ) ),
inference(sim,[status(thm)],[6058]) ).
thf(6780,plain,
! [SV1335: b > $o] :
( ( ( SV1335
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1335 @ SX0 ) ) )
= $false )
| ( ( SV1335
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ( SV1335 @ SX0 ) ) )
= $true ) ),
inference(sim,[status(thm)],[6285]) ).
thf(6781,plain,
! [SV1338: b > $o] :
( ( ( SV1338
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1338 @ SX0 ) ) )
= $true )
| ( ( SV1338
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ~ ( SV1338 @ SX0 ) ) )
= $false ) ),
inference(sim,[status(thm)],[6458]) ).
thf(6782,plain,
! [SV1341: b > $o] :
( ( ( SV1341
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1341 @ SX0 ) ) )
= $false )
| ( ( SV1341
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1341 @ SX0 ) ) )
= $true ) ),
inference(sim,[status(thm)],[6577]) ).
thf(6783,plain,
! [SV1344: b > $o] :
( ( ( SV1344
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1344 @ SX0 ) ) )
= $true )
| ( ( SV1344
@ ( sK16_SY259
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1344 @ SX0 ) ) )
= $false ) ),
inference(sim,[status(thm)],[6646]) ).
thf(6784,plain,
! [SV280: b,SV234: b > $o] :
( ( ( SV234 @ ( hilbert_Eps_b @ SV234 ) )
= $true )
| ( ( SV234 @ SV280 )
= $false ) ),
inference(sim,[status(thm)],[3442]) ).
thf(6785,plain,
! [SV280: b,SV1350: b > $o] :
( ( ( SV1350
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1350 @ SX0 ) ) )
= $false )
| ( ( SV1350 @ SV280 )
= $true ) ),
inference(sim,[status(thm)],[6067]) ).
thf(6786,plain,
! [SV280: b,SV1353: b > $o] :
( ( ( SV1353
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1353 @ SX0 ) ) )
= $true )
| ( ( SV1353 @ SV280 )
= $false ) ),
inference(sim,[status(thm)],[6294]) ).
thf(6787,plain,
! [SV280: b,SV1356: b > $o] :
( ( ( SV1356
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1356 @ SX0 ) ) )
= $false )
| ( ( SV1356 @ SV280 )
= $true ) ),
inference(sim,[status(thm)],[6463]) ).
thf(6788,plain,
! [SV280: b,SV1359: b > $o] :
( ( ( SV1359
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1359 @ SX0 ) ) )
= $true )
| ( ( SV1359 @ SV280 )
= $false ) ),
inference(sim,[status(thm)],[6582]) ).
thf(6789,plain,
! [SV280: b,SV1362: b > $o] :
( ( ( SV1362
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1362 @ SX0 ) ) )
= $false )
| ( ( SV1362 @ SV280 )
= $true ) ),
inference(sim,[status(thm)],[6647]) ).
thf(6790,plain,
! [SV281: b,SV236: b > $o] :
( ( ( SV236 @ ( hilbert_Eps_b @ SV236 ) )
= $true )
| ( ( SV236 @ SV281 )
= $false ) ),
inference(sim,[status(thm)],[3443]) ).
thf(6791,plain,
! [SV281: b,SV1368: b > $o] :
( ( ( SV1368
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1368 @ SX0 ) ) )
= $false )
| ( ( SV1368 @ SV281 )
= $true ) ),
inference(sim,[status(thm)],[6077]) ).
thf(6792,plain,
! [SV281: b,SV1371: b > $o] :
( ( ( SV1371
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1371 @ SX0 ) ) )
= $true )
| ( ( SV1371 @ SV281 )
= $false ) ),
inference(sim,[status(thm)],[6302]) ).
thf(6793,plain,
! [SV281: b,SV1374: b > $o] :
( ( ( SV1374
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1374 @ SX0 ) ) )
= $false )
| ( ( SV1374 @ SV281 )
= $true ) ),
inference(sim,[status(thm)],[6469]) ).
thf(6794,plain,
! [SV281: b,SV1377: b > $o] :
( ( ( SV1377
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1377 @ SX0 ) ) )
= $true )
| ( ( SV1377 @ SV281 )
= $false ) ),
inference(sim,[status(thm)],[6586]) ).
thf(6795,plain,
! [SV281: b,SV1380: b > $o] :
( ( ( SV1380
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1380 @ SX0 ) ) )
= $false )
| ( ( SV1380 @ SV281 )
= $true ) ),
inference(sim,[status(thm)],[6649]) ).
thf(6796,plain,
! [SV282: b,SV238: b > $o] :
( ( ( SV238 @ ( hilbert_Eps_b @ SV238 ) )
= $true )
| ( ( SV238 @ SV282 )
= $false ) ),
inference(sim,[status(thm)],[3444]) ).
thf(6797,plain,
! [SV282: b,SV1386: b > $o] :
( ( ( SV1386
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1386 @ SX0 ) ) )
= $false )
| ( ( SV1386 @ SV282 )
= $true ) ),
inference(sim,[status(thm)],[6087]) ).
thf(6798,plain,
! [SV282: b,SV1389: b > $o] :
( ( ( SV1389
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1389 @ SX0 ) ) )
= $true )
| ( ( SV1389 @ SV282 )
= $false ) ),
inference(sim,[status(thm)],[6310]) ).
thf(6799,plain,
! [SV282: b,SV1392: b > $o] :
( ( ( SV1392
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1392 @ SX0 ) ) )
= $false )
| ( ( SV1392 @ SV282 )
= $true ) ),
inference(sim,[status(thm)],[6475]) ).
thf(6800,plain,
! [SV282: b,SV1395: b > $o] :
( ( ( SV1395
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1395 @ SX0 ) ) )
= $true )
| ( ( SV1395 @ SV282 )
= $false ) ),
inference(sim,[status(thm)],[6590]) ).
thf(6801,plain,
! [SV282: b,SV1398: b > $o] :
( ( ( SV1398
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1398 @ SX0 ) ) )
= $false )
| ( ( SV1398 @ SV282 )
= $true ) ),
inference(sim,[status(thm)],[6651]) ).
thf(6802,plain,
! [SV283: b,SV240: b > $o] :
( ( ( SV240 @ ( hilbert_Eps_b @ SV240 ) )
= $true )
| ( ( SV240 @ SV283 )
= $false ) ),
inference(sim,[status(thm)],[3445]) ).
thf(6803,plain,
! [SV283: b,SV1404: b > $o] :
( ( ( SV1404
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1404 @ SX0 ) ) )
= $false )
| ( ( SV1404 @ SV283 )
= $true ) ),
inference(sim,[status(thm)],[6097]) ).
thf(6804,plain,
! [SV283: b,SV1407: b > $o] :
( ( ( SV1407
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1407 @ SX0 ) ) )
= $true )
| ( ( SV1407 @ SV283 )
= $false ) ),
inference(sim,[status(thm)],[6318]) ).
thf(6805,plain,
! [SV283: b,SV1410: b > $o] :
( ( ( SV1410
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1410 @ SX0 ) ) )
= $false )
| ( ( SV1410 @ SV283 )
= $true ) ),
inference(sim,[status(thm)],[6481]) ).
thf(6806,plain,
! [SV283: b,SV1413: b > $o] :
( ( ( SV1413
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1413 @ SX0 ) ) )
= $true )
| ( ( SV1413 @ SV283 )
= $false ) ),
inference(sim,[status(thm)],[6594]) ).
thf(6807,plain,
! [SV283: b,SV1416: b > $o] :
( ( ( SV1416
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1416 @ SX0 ) ) )
= $false )
| ( ( SV1416 @ SV283 )
= $true ) ),
inference(sim,[status(thm)],[6653]) ).
thf(6808,plain,
! [SV176: b,SV9: b > $o] :
( ( ( SV9 @ ( sK5_SY206 @ SV9 ) )
= $true )
| ( ( SV9 @ SV176 )
= $false ) ),
inference(sim,[status(thm)],[3446]) ).
thf(6809,plain,
! [SV176: b,SV1422: b > $o] :
( ( ( SV1422
@ ( sK5_SY206
@ ^ [SX0: b] :
~ ( SV1422 @ SX0 ) ) )
= $false )
| ( ( SV1422 @ SV176 )
= $true ) ),
inference(sim,[status(thm)],[6107]) ).
thf(6810,plain,
! [SV176: b,SV1425: b > $o] :
( ( ( SV1425
@ ( sK5_SY206
@ ^ [SX0: b] :
~ ~ ( SV1425 @ SX0 ) ) )
= $true )
| ( ( SV1425 @ SV176 )
= $false ) ),
inference(sim,[status(thm)],[6326]) ).
thf(6811,plain,
! [SV176: b,SV1428: b > $o] :
( ( ( SV1428
@ ( sK5_SY206
@ ^ [SX0: b] :
~ ~ ~ ( SV1428 @ SX0 ) ) )
= $false )
| ( ( SV1428 @ SV176 )
= $true ) ),
inference(sim,[status(thm)],[6487]) ).
thf(6812,plain,
! [SV176: b,SV1431: b > $o] :
( ( ( SV1431
@ ( sK5_SY206
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1431 @ SX0 ) ) )
= $true )
| ( ( SV1431 @ SV176 )
= $false ) ),
inference(sim,[status(thm)],[6598]) ).
thf(6813,plain,
! [SV176: b,SV1434: b > $o] :
( ( ( SV1434
@ ( sK5_SY206
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1434 @ SX0 ) ) )
= $false )
| ( ( SV1434 @ SV176 )
= $true ) ),
inference(sim,[status(thm)],[6655]) ).
thf(6814,plain,
! [SV177: b,SV10: b > $o] :
( ( ( SV10 @ ( sK6_SY207 @ SV10 ) )
= $true )
| ( ( SV10 @ SV177 )
= $false ) ),
inference(sim,[status(thm)],[3447]) ).
thf(6815,plain,
! [SV177: b,SV1440: b > $o] :
( ( ( SV1440
@ ( sK6_SY207
@ ^ [SX0: b] :
~ ( SV1440 @ SX0 ) ) )
= $false )
| ( ( SV1440 @ SV177 )
= $true ) ),
inference(sim,[status(thm)],[6117]) ).
thf(6816,plain,
! [SV177: b,SV1443: b > $o] :
( ( ( SV1443
@ ( sK6_SY207
@ ^ [SX0: b] :
~ ~ ( SV1443 @ SX0 ) ) )
= $true )
| ( ( SV1443 @ SV177 )
= $false ) ),
inference(sim,[status(thm)],[6334]) ).
thf(6817,plain,
! [SV177: b,SV1446: b > $o] :
( ( ( SV1446
@ ( sK6_SY207
@ ^ [SX0: b] :
~ ~ ~ ( SV1446 @ SX0 ) ) )
= $false )
| ( ( SV1446 @ SV177 )
= $true ) ),
inference(sim,[status(thm)],[6493]) ).
thf(6818,plain,
! [SV177: b,SV1449: b > $o] :
( ( ( SV1449
@ ( sK6_SY207
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1449 @ SX0 ) ) )
= $true )
| ( ( SV1449 @ SV177 )
= $false ) ),
inference(sim,[status(thm)],[6602]) ).
thf(6819,plain,
! [SV177: b,SV1452: b > $o] :
( ( ( SV1452
@ ( sK6_SY207
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1452 @ SX0 ) ) )
= $false )
| ( ( SV1452 @ SV177 )
= $true ) ),
inference(sim,[status(thm)],[6657]) ).
thf(6820,plain,
! [SV170: b] :
( ( member_b @ SV170 @ bot_bot_set_b )
= $false ),
inference(sim,[status(thm)],[4848]) ).
thf(6821,plain,
! [SV65: set_b] :
( ( ( member_b @ ( sK19_SY274 @ SV65 ) @ SV65 )
= $true )
| ( ( SV65 = bot_bot_set_b )
= $true ) ),
inference(sim,[status(thm)],[3150]) ).
thf(6822,plain,
! [SV284: b,SV242: b > $o] :
( ( ( SV242 @ ( hilbert_Eps_b @ SV242 ) )
= $true )
| ( ( SV242 @ SV284 )
= $false ) ),
inference(sim,[status(thm)],[3448]) ).
thf(6823,plain,
! [SV284: b,SV1458: b > $o] :
( ( ( SV1458
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1458 @ SX0 ) ) )
= $false )
| ( ( SV1458 @ SV284 )
= $true ) ),
inference(sim,[status(thm)],[6127]) ).
thf(6824,plain,
! [SV284: b,SV1461: b > $o] :
( ( ( SV1461
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1461 @ SX0 ) ) )
= $true )
| ( ( SV1461 @ SV284 )
= $false ) ),
inference(sim,[status(thm)],[6342]) ).
thf(6825,plain,
! [SV284: b,SV1464: b > $o] :
( ( ( SV1464
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1464 @ SX0 ) ) )
= $false )
| ( ( SV1464 @ SV284 )
= $true ) ),
inference(sim,[status(thm)],[6499]) ).
thf(6826,plain,
! [SV284: b,SV1467: b > $o] :
( ( ( SV1467
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1467 @ SX0 ) ) )
= $true )
| ( ( SV1467 @ SV284 )
= $false ) ),
inference(sim,[status(thm)],[6606]) ).
thf(6827,plain,
! [SV284: b,SV1470: b > $o] :
( ( ( SV1470
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1470 @ SX0 ) ) )
= $false )
| ( ( SV1470 @ SV284 )
= $true ) ),
inference(sim,[status(thm)],[6659]) ).
thf(6828,plain,
! [SV162: set_b,SV101: set_b] :
( ( ( ord_less_eq_set_b @ SV101 @ SV162 )
= $true )
| ( ( member_b @ ( sK14_SY373 @ SV162 @ SV101 ) @ SV101 )
= $true ) ),
inference(sim,[status(thm)],[3154]) ).
thf(6829,plain,
! [SV165: set_b,SV132: set_b] :
( ( ( ord_less_eq_set_b @ SV132 @ SV165 )
= $true )
| ( ( member_b @ ( sK15_SY375 @ SV165 @ SV132 ) @ SV132 )
= $true ) ),
inference(sim,[status(thm)],[3156]) ).
thf(6830,plain,
! [SV285: b,SV244: b > $o] :
( ( ( SV244 @ ( hilbert_Eps_b @ SV244 ) )
= $true )
| ( ( SV244 @ SV285 )
= $false ) ),
inference(sim,[status(thm)],[3449]) ).
thf(6831,plain,
! [SV285: b,SV1476: b > $o] :
( ( ( SV1476
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1476 @ SX0 ) ) )
= $false )
| ( ( SV1476 @ SV285 )
= $true ) ),
inference(sim,[status(thm)],[6137]) ).
thf(6832,plain,
! [SV285: b,SV1479: b > $o] :
( ( ( SV1479
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1479 @ SX0 ) ) )
= $true )
| ( ( SV1479 @ SV285 )
= $false ) ),
inference(sim,[status(thm)],[6350]) ).
thf(6833,plain,
! [SV285: b,SV1482: b > $o] :
( ( ( SV1482
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1482 @ SX0 ) ) )
= $false )
| ( ( SV1482 @ SV285 )
= $true ) ),
inference(sim,[status(thm)],[6505]) ).
thf(6834,plain,
! [SV285: b,SV1485: b > $o] :
( ( ( SV1485
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1485 @ SX0 ) ) )
= $true )
| ( ( SV1485 @ SV285 )
= $false ) ),
inference(sim,[status(thm)],[6610]) ).
thf(6835,plain,
! [SV285: b,SV1488: b > $o] :
( ( ( SV1488
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1488 @ SX0 ) ) )
= $false )
| ( ( SV1488 @ SV285 )
= $true ) ),
inference(sim,[status(thm)],[6661]) ).
thf(6836,plain,
! [SV286: b,SV246: b > $o] :
( ( ( SV246 @ ( hilbert_Eps_b @ SV246 ) )
= $true )
| ( ( SV246 @ SV286 )
= $false ) ),
inference(sim,[status(thm)],[3450]) ).
thf(6837,plain,
! [SV286: b,SV1494: b > $o] :
( ( ( SV1494
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ( SV1494 @ SX0 ) ) )
= $false )
| ( ( SV1494 @ SV286 )
= $true ) ),
inference(sim,[status(thm)],[6147]) ).
thf(6838,plain,
! [SV286: b,SV1497: b > $o] :
( ( ( SV1497
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ( SV1497 @ SX0 ) ) )
= $true )
| ( ( SV1497 @ SV286 )
= $false ) ),
inference(sim,[status(thm)],[6358]) ).
thf(6839,plain,
! [SV286: b,SV1500: b > $o] :
( ( ( SV1500
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ( SV1500 @ SX0 ) ) )
= $false )
| ( ( SV1500 @ SV286 )
= $true ) ),
inference(sim,[status(thm)],[6511]) ).
thf(6840,plain,
! [SV286: b,SV1503: b > $o] :
( ( ( SV1503
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ( SV1503 @ SX0 ) ) )
= $true )
| ( ( SV1503 @ SV286 )
= $false ) ),
inference(sim,[status(thm)],[6614]) ).
thf(6841,plain,
! [SV286: b,SV1506: b > $o] :
( ( ( SV1506
@ ( hilbert_Eps_b
@ ^ [SX0: b] :
~ ~ ~ ~ ~ ( SV1506 @ SX0 ) ) )
= $false )
| ( ( SV1506 @ SV286 )
= $true ) ),
inference(sim,[status(thm)],[6663]) ).
thf(6842,plain,
! [SV186: set_b,SV153: b,SV72: b] :
( ( ( member_b @ SV72 @ ( insert_b @ SV153 @ SV186 ) )
= $true )
| ( ( member_b @ SV153 @ ( insert_b @ SV72 @ SV186 ) )
= $true )
| ( ( member_b @ SV72 @ SV186 )
= $true )
| ( ( member_b @ SV153 @ SV186 )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( member_b @ SV72 @ ( sK29_SY374 @ SV186 @ SV72 @ ( insert_b @ SV72 @ SV186 ) @ SV153 @ ( insert_b @ SV153 @ SV186 ) ) )
= $false ) ),
inference(sim,[status(thm)],[5019]) ).
thf(6843,plain,
! [SV186: set_b,SV153: b,SV72: b] :
( ( ( member_b @ SV72 @ ( insert_b @ SV153 @ SV186 ) )
= $true )
| ( ( member_b @ SV153 @ ( insert_b @ SV72 @ SV186 ) )
= $true )
| ( ( member_b @ SV72 @ SV186 )
= $true )
| ( ( member_b @ SV153 @ SV186 )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( ( insert_b @ SV72 @ SV186 )
= ( insert_b @ SV72 @ ( sK29_SY374 @ SV186 @ SV72 @ ( insert_b @ SV72 @ SV186 ) @ SV153 @ ( insert_b @ SV153 @ SV186 ) ) ) )
= $true ) ),
inference(sim,[status(thm)],[5022]) ).
thf(6844,plain,
! [SV186: set_b,SV153: b,SV72: b] :
( ( ( member_b @ SV72 @ ( insert_b @ SV153 @ SV186 ) )
= $true )
| ( ( member_b @ SV153 @ ( insert_b @ SV72 @ SV186 ) )
= $true )
| ( ( member_b @ SV72 @ SV186 )
= $true )
| ( ( member_b @ SV153 @ SV186 )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( ( insert_b @ SV153 @ SV186 )
= ( insert_b @ SV153 @ ( sK29_SY374 @ SV186 @ SV72 @ ( insert_b @ SV72 @ SV186 ) @ SV153 @ ( insert_b @ SV153 @ SV186 ) ) ) )
= $true ) ),
inference(sim,[status(thm)],[5025]) ).
thf(6845,plain,
! [SV186: set_b,SV153: b,SV72: b] :
( ( ( member_b @ SV72 @ ( insert_b @ SV153 @ SV186 ) )
= $true )
| ( ( member_b @ SV153 @ ( insert_b @ SV72 @ SV186 ) )
= $true )
| ( ( member_b @ SV72 @ SV186 )
= $true )
| ( ( member_b @ SV153 @ SV186 )
= $true )
| ( ( SV72 = SV153 )
= $true )
| ( ( member_b @ SV153 @ ( sK29_SY374 @ SV186 @ SV72 @ ( insert_b @ SV72 @ SV186 ) @ SV153 @ ( insert_b @ SV153 @ SV186 ) ) )
= $false ) ),
inference(sim,[status(thm)],[5028]) ).
thf(6846,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[448,6845,6844,6843,6842,6841,6840,6839,6838,6837,6836,6835,6834,6833,6832,6831,6830,6829,6828,6827,6826,6825,6824,6823,6822,6821,6820,6819,6818,6817,6816,6815,6814,6813,6812,6811,6810,6809,6808,6807,6806,6805,6804,6803,6802,6801,6800,6799,6798,6797,6796,6795,6794,6793,6792,6791,6790,6789,6788,6787,6786,6785,6784,6783,6782,6781,6780,6779,6778,6777,6776,6775,6774,6773,6772,6771,6770,6769,6768,6767,6766,6765,6764,6763,6762,6761,6760,6759,6758,6757,6756,6755,6754,6753,6752,6751,6750,6749,6748,6747,6746,6745,6744,6743,6742,6741,6740,6739,6738,6737,6736,6735,6734,6733,6732,6731,6730,6729,6728,6727,6726,6725,6724,6723,6722,6721,6720,6719,6718,6717,6716,6715,6714,6713,6712,6711,6710,6709,6708,6707,6706,6705,6704,6703,6702,6701,6700,6699,6698,6697,6696,6695,6694,6693,6692,6691,6690,6689,6688,6687,6686,6685,6684,6683,6682,6681,6680,6679,6678,6677,6676,6675,6674,6673,6672,6671,6670,6669,6668,6667,6666,6665,6532,6531,6530,6529,6390,6388,6386,6384,6244,6243,6202,6201,6191,6188,6185,6182,6006,6005,6004,6002,6001,6000,5948,5947,5946,5944,5943,5942,5733,5732,5731,5730,5725,5724,5723,5722,5667,5666,5665,5664,5659,5658,5657,5656,5076,5073,5066,5063,5027,5024,5021,5018,5010,5008,4987,4985,4983,4972,4966,4965,4964,4963,4961,4959,4958,4956,4953,4947,4945,4941,4934,4933,4932,4931,4929,4927,4925,4923,4922,4921,4920,4918,4916,4910,4908,4907,4905,4904,4902,4901,4900,4899,4898,4897,4896,4895,4894,4893,4892,4891,4890,4889,4888,4887,4886,4885,4884,4883,4882,4881,4880,4767,4762,4761,4760,4759,4758,4757,4754,4753,4752,4751,4750,4749,4696,4691,4634,4629,4574,4517,4516,4515,4514,4513,4512,4511,4510,4509,4506,4503,4500,4481,4480,4479,4478,4365,4364,4065,4064,3993,3991,3873,3872,3869,3868,3765,3760,3583,3582,3167,3166,3040,3039,3034,3033,3025,3024,3023,3022,3020,3019,3018,3015,3014,3010,2884,2878,2866,2861,2853,2852,2850,2844,2843,2708,2706,2697,2696,2690,2500,2499,2492,2491,2468,2467,2466,2464,2463,2462,2461,2454,2452,2440,2439,2430,2429,2363,2361,2360,2359,2358,2357,2356,2331,2330,2329,2328,2327,2326,2325,2324,2323,2322,2321,2320,2319,2318,2317,2316,2315,2314,2313,2312,2311,2310,2309,2308,2307,2306,2305,2304,2303,2302,2301,2097,2093,2084,2076,2025,2021,1990,1984,1968,1953,1921,1892,1873,1872,1846,1845,1844,1843,1842,1825,1824,1822,1815,1813,1811,1807,1806,1800,1744,1732,1677,1676,1672,1670,1658,1656,1653,1652,1626,1617,1616,1604,1603,1600,1599,1597,1596,1593,1559,1558,1557,1545,1544,1515,1514,1513,1507,1506,1504,1490,1481,1474,1458,1456,1455,1450,1449,1423,1413,1412,1410,1402,1364,1362,1361,1353,1352,1349,1348,1346,1345,1336,1333,1332,1323,1307,1267,1266,1263,1262,1260,1259,1256,1255,1233,1226,1219,1218,1201,1197,1172,1171,1168,1167,1131,1130,1129,1127,1122,1115,1098,1096,1092,1044,1034,1031,1005,973,951,947,942,938,936,932,928,904,897,888,885,874,872,863,860,847,841,837,835,829,818,802,792,784,774,770,768,765,763,761,759,754,752,740,734,726,698,697,695,691,686,684,682,681,680,678,676,674,671,644,634,622,616,613,612,610,609,608,606,603,601,596,589,588,587,586,584,583,582,487,449]) ).
thf(6847,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[6846]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP176^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.18 % Computer : n009.cluster.edu
% 0.11/0.18 % Model : x86_64 x86_64
% 0.11/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.18 % Memory : 8046.5625MB
% 0.11/0.18 % OS : Linux 6.8.0-71-generic
% 0.11/0.18 % CPULimit : 300
% 0.11/0.18 % WCLimit : 300
% 0.11/0.18 % DateTime : Tue Oct 6 11:19:17 UTC 2026
% 0.11/0.18 % CPUTime :
% 0.11/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 277.19/46.88 ..
% 277.19/46.88
% 277.19/46.88 No.of.Axioms: 85
% 277.19/46.88
% 277.19/46.88 Length.of.Defs: 0
% 277.19/46.88
% 277.19/46.88 Contains.Choice.Funs: true
% 277.19/46.88 ..............................................................eprover: CPU time limit exceeded, terminating
% 277.19/46.88
% 277.19/46.88
% 277.19/46.88 *** Modified list of choice operators: hilbert_Eps_b ***
% 277.19/46.88
% 277.19/46.88 *** Modified list of choice operators: sK21_SY259 SV169, hilbert_Eps_b ***
% 277.19/46.88 ..................................................................................................................
% 277.19/46.88
% 277.19/46.88 ********************************
% 277.19/46.88 * All subproblems solved! *
% 277.19/46.88 ********************************
% 277.19/46.88 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:85,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:6846,loop_count:0,foatp_calls:2,translation:fof_full)
% 277.19/46.88
% 277.19/46.88 %**** Beginning of derivation protocol ****
% 277.19/46.88 % SZS output start CNFRefutation
% See solution above
% 45.91/46.92
% 45.91/46.92 %**** End of derivation protocol ****
% 45.91/46.92 %**** no. of clauses in derivation: 3555 ****
% 45.91/46.92 %**** clause counter: 6846 ****
% 45.91/46.92
% 45.91/46.92 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:85,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:6846,loop_count:0,foatp_calls:2,translation:fof_full)
%------------------------------------------------------------------------------